/* Generated by Cython 0.29.14 */

/* BEGIN: Cython Metadata
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END: Cython Metadata */

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#define __Pyx_PyString_FormatSafe(a, b)   ((unlikely((a) == Py_None || (PyString_Check(b) && !PyString_CheckExact(b)))) ? PyNumber_Remainder(a, b) : __Pyx_PyString_Format(a, b))
#define __Pyx_PyUnicode_FormatSafe(a, b)  ((unlikely((a) == Py_None || (PyUnicode_Check(b) && !PyUnicode_CheckExact(b)))) ? PyNumber_Remainder(a, b) : PyUnicode_Format(a, b))
#if PY_MAJOR_VERSION >= 3
  #define __Pyx_PyString_Format(a, b)  PyUnicode_Format(a, b)
#else
  #define __Pyx_PyString_Format(a, b)  PyString_Format(a, b)
#endif
#if PY_MAJOR_VERSION < 3 && !defined(PyObject_ASCII)
  #define PyObject_ASCII(o)            PyObject_Repr(o)
#endif
#if PY_MAJOR_VERSION >= 3
  #define PyBaseString_Type            PyUnicode_Type
  #define PyStringObject               PyUnicodeObject
  #define PyString_Type                PyUnicode_Type
  #define PyString_Check               PyUnicode_Check
  #define PyString_CheckExact          PyUnicode_CheckExact
  #define PyObject_Unicode             PyObject_Str
#endif
#if PY_MAJOR_VERSION >= 3
  #define __Pyx_PyBaseString_Check(obj) PyUnicode_Check(obj)
  #define __Pyx_PyBaseString_CheckExact(obj) PyUnicode_CheckExact(obj)
#else
  #define __Pyx_PyBaseString_Check(obj) (PyString_Check(obj) || PyUnicode_Check(obj))
  #define __Pyx_PyBaseString_CheckExact(obj) (PyString_CheckExact(obj) || PyUnicode_CheckExact(obj))
#endif
#ifndef PySet_CheckExact
  #define PySet_CheckExact(obj)        (Py_TYPE(obj) == &PySet_Type)
#endif
#if CYTHON_ASSUME_SAFE_MACROS
  #define __Pyx_PySequence_SIZE(seq)  Py_SIZE(seq)
#else
  #define __Pyx_PySequence_SIZE(seq)  PySequence_Size(seq)
#endif
#if PY_MAJOR_VERSION >= 3
  #define PyIntObject                  PyLongObject
  #define PyInt_Type                   PyLong_Type
  #define PyInt_Check(op)              PyLong_Check(op)
  #define PyInt_CheckExact(op)         PyLong_CheckExact(op)
  #define PyInt_FromString             PyLong_FromString
  #define PyInt_FromUnicode            PyLong_FromUnicode
  #define PyInt_FromLong               PyLong_FromLong
  #define PyInt_FromSize_t             PyLong_FromSize_t
  #define PyInt_FromSsize_t            PyLong_FromSsize_t
  #define PyInt_AsLong                 PyLong_AsLong
  #define PyInt_AS_LONG                PyLong_AS_LONG
  #define PyInt_AsSsize_t              PyLong_AsSsize_t
  #define PyInt_AsUnsignedLongMask     PyLong_AsUnsignedLongMask
  #define PyInt_AsUnsignedLongLongMask PyLong_AsUnsignedLongLongMask
  #define PyNumber_Int                 PyNumber_Long
#endif
#if PY_MAJOR_VERSION >= 3
  #define PyBoolObject                 PyLongObject
#endif
#if PY_MAJOR_VERSION >= 3 && CYTHON_COMPILING_IN_PYPY
  #ifndef PyUnicode_InternFromString
    #define PyUnicode_InternFromString(s) PyUnicode_FromString(s)
  #endif
#endif
#if PY_VERSION_HEX < 0x030200A4
  typedef long Py_hash_t;
  #define __Pyx_PyInt_FromHash_t PyInt_FromLong
  #define __Pyx_PyInt_AsHash_t   PyInt_AsLong
#else
  #define __Pyx_PyInt_FromHash_t PyInt_FromSsize_t
  #define __Pyx_PyInt_AsHash_t   PyInt_AsSsize_t
#endif
#if PY_MAJOR_VERSION >= 3
  #define __Pyx_PyMethod_New(func, self, klass) ((self) ? PyMethod_New(func, self) : (Py_INCREF(func), func))
#else
  #define __Pyx_PyMethod_New(func, self, klass) PyMethod_New(func, self, klass)
#endif
#if CYTHON_USE_ASYNC_SLOTS
  #if PY_VERSION_HEX >= 0x030500B1
    #define __Pyx_PyAsyncMethodsStruct PyAsyncMethods
    #define __Pyx_PyType_AsAsync(obj) (Py_TYPE(obj)->tp_as_async)
  #else
    #define __Pyx_PyType_AsAsync(obj) ((__Pyx_PyAsyncMethodsStruct*) (Py_TYPE(obj)->tp_reserved))
  #endif
#else
  #define __Pyx_PyType_AsAsync(obj) NULL
#endif
#ifndef __Pyx_PyAsyncMethodsStruct
    typedef struct {
        unaryfunc am_await;
        unaryfunc am_aiter;
        unaryfunc am_anext;
    } __Pyx_PyAsyncMethodsStruct;
#endif

#if defined(WIN32) || defined(MS_WINDOWS)
  #define _USE_MATH_DEFINES
#endif
#include <math.h>
#ifdef NAN
#define __PYX_NAN() ((float) NAN)
#else
static CYTHON_INLINE float __PYX_NAN() {
  float value;
  memset(&value, 0xFF, sizeof(value));
  return value;
}
#endif
#if defined(__CYGWIN__) && defined(_LDBL_EQ_DBL)
#define __Pyx_truncl trunc
#else
#define __Pyx_truncl truncl
#endif


#define __PYX_ERR(f_index, lineno, Ln_error) \
{ \
  __pyx_filename = __pyx_f[f_index]; __pyx_lineno = lineno; __pyx_clineno = __LINE__; goto Ln_error; \
}

#ifndef __PYX_EXTERN_C
  #ifdef __cplusplus
    #define __PYX_EXTERN_C extern "C"
  #else
    #define __PYX_EXTERN_C extern
  #endif
#endif

#define __PYX_HAVE__pyFAI__ext___distortion
#define __PYX_HAVE_API__pyFAI__ext___distortion
/* Early includes */
#include "src/isnan.h"
#include <math.h>
#include <string.h>
#include <stdio.h>
#include "numpy/arrayobject.h"
#include "numpy/ufuncobject.h"
#include "ios"
#include "new"
#include "stdexcept"
#include "typeinfo"
#include <list>
#include "pythread.h"
#include <stdlib.h>
#include "pystate.h"
#ifdef _OPENMP
#include <omp.h>
#endif /* _OPENMP */

#if defined(PYREX_WITHOUT_ASSERTIONS) && !defined(CYTHON_WITHOUT_ASSERTIONS)
#define CYTHON_WITHOUT_ASSERTIONS
#endif

typedef struct {PyObject **p; const char *s; const Py_ssize_t n; const char* encoding;
                const char is_unicode; const char is_str; const char intern; } __Pyx_StringTabEntry;

#define __PYX_DEFAULT_STRING_ENCODING_IS_ASCII 0
#define __PYX_DEFAULT_STRING_ENCODING_IS_UTF8 0
#define __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT (PY_MAJOR_VERSION >= 3 && __PYX_DEFAULT_STRING_ENCODING_IS_UTF8)
#define __PYX_DEFAULT_STRING_ENCODING ""
#define __Pyx_PyObject_FromString __Pyx_PyBytes_FromString
#define __Pyx_PyObject_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
#define __Pyx_uchar_cast(c) ((unsigned char)c)
#define __Pyx_long_cast(x) ((long)x)
#define __Pyx_fits_Py_ssize_t(v, type, is_signed)  (\
    (sizeof(type) < sizeof(Py_ssize_t))  ||\
    (sizeof(type) > sizeof(Py_ssize_t) &&\
          likely(v < (type)PY_SSIZE_T_MAX ||\
                 v == (type)PY_SSIZE_T_MAX)  &&\
          (!is_signed || likely(v > (type)PY_SSIZE_T_MIN ||\
                                v == (type)PY_SSIZE_T_MIN)))  ||\
    (sizeof(type) == sizeof(Py_ssize_t) &&\
          (is_signed || likely(v < (type)PY_SSIZE_T_MAX ||\
                               v == (type)PY_SSIZE_T_MAX)))  )
static CYTHON_INLINE int __Pyx_is_valid_index(Py_ssize_t i, Py_ssize_t limit) {
    return (size_t) i < (size_t) limit;
}
#if defined (__cplusplus) && __cplusplus >= 201103L
    #include <cstdlib>
    #define __Pyx_sst_abs(value) std::abs(value)
#elif SIZEOF_INT >= SIZEOF_SIZE_T
    #define __Pyx_sst_abs(value) abs(value)
#elif SIZEOF_LONG >= SIZEOF_SIZE_T
    #define __Pyx_sst_abs(value) labs(value)
#elif defined (_MSC_VER)
    #define __Pyx_sst_abs(value) ((Py_ssize_t)_abs64(value))
#elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
    #define __Pyx_sst_abs(value) llabs(value)
#elif defined (__GNUC__)
    #define __Pyx_sst_abs(value) __builtin_llabs(value)
#else
    #define __Pyx_sst_abs(value) ((value<0) ? -value : value)
#endif
static CYTHON_INLINE const char* __Pyx_PyObject_AsString(PyObject*);
static CYTHON_INLINE const char* __Pyx_PyObject_AsStringAndSize(PyObject*, Py_ssize_t* length);
#define __Pyx_PyByteArray_FromString(s) PyByteArray_FromStringAndSize((const char*)s, strlen((const char*)s))
#define __Pyx_PyByteArray_FromStringAndSize(s, l) PyByteArray_FromStringAndSize((const char*)s, l)
#define __Pyx_PyBytes_FromString        PyBytes_FromString
#define __Pyx_PyBytes_FromStringAndSize PyBytes_FromStringAndSize
static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char*);
#if PY_MAJOR_VERSION < 3
    #define __Pyx_PyStr_FromString        __Pyx_PyBytes_FromString
    #define __Pyx_PyStr_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
#else
    #define __Pyx_PyStr_FromString        __Pyx_PyUnicode_FromString
    #define __Pyx_PyStr_FromStringAndSize __Pyx_PyUnicode_FromStringAndSize
#endif
#define __Pyx_PyBytes_AsWritableString(s)     ((char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsWritableSString(s)    ((signed char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsWritableUString(s)    ((unsigned char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsString(s)     ((const char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsSString(s)    ((const signed char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsUString(s)    ((const unsigned char*) PyBytes_AS_STRING(s))
#define __Pyx_PyObject_AsWritableString(s)    ((char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsWritableSString(s)    ((signed char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsWritableUString(s)    ((unsigned char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsSString(s)    ((const signed char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsUString(s)    ((const unsigned char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_FromCString(s)  __Pyx_PyObject_FromString((const char*)s)
#define __Pyx_PyBytes_FromCString(s)   __Pyx_PyBytes_FromString((const char*)s)
#define __Pyx_PyByteArray_FromCString(s)   __Pyx_PyByteArray_FromString((const char*)s)
#define __Pyx_PyStr_FromCString(s)     __Pyx_PyStr_FromString((const char*)s)
#define __Pyx_PyUnicode_FromCString(s) __Pyx_PyUnicode_FromString((const char*)s)
static CYTHON_INLINE size_t __Pyx_Py_UNICODE_strlen(const Py_UNICODE *u) {
    const Py_UNICODE *u_end = u;
    while (*u_end++) ;
    return (size_t)(u_end - u - 1);
}
#define __Pyx_PyUnicode_FromUnicode(u)       PyUnicode_FromUnicode(u, __Pyx_Py_UNICODE_strlen(u))
#define __Pyx_PyUnicode_FromUnicodeAndLength PyUnicode_FromUnicode
#define __Pyx_PyUnicode_AsUnicode            PyUnicode_AsUnicode
#define __Pyx_NewRef(obj) (Py_INCREF(obj), obj)
#define __Pyx_Owned_Py_None(b) __Pyx_NewRef(Py_None)
static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(long b);
static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject*);
static CYTHON_INLINE int __Pyx_PyObject_IsTrueAndDecref(PyObject*);
static CYTHON_INLINE PyObject* __Pyx_PyNumber_IntOrLong(PyObject* x);
#define __Pyx_PySequence_Tuple(obj)\
    (likely(PyTuple_CheckExact(obj)) ? __Pyx_NewRef(obj) : PySequence_Tuple(obj))
static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject*);
static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t);
#if CYTHON_ASSUME_SAFE_MACROS
#define __pyx_PyFloat_AsDouble(x) (PyFloat_CheckExact(x) ? PyFloat_AS_DOUBLE(x) : PyFloat_AsDouble(x))
#else
#define __pyx_PyFloat_AsDouble(x) PyFloat_AsDouble(x)
#endif
#define __pyx_PyFloat_AsFloat(x) ((float) __pyx_PyFloat_AsDouble(x))
#if PY_MAJOR_VERSION >= 3
#define __Pyx_PyNumber_Int(x) (PyLong_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Long(x))
#else
#define __Pyx_PyNumber_Int(x) (PyInt_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Int(x))
#endif
#define __Pyx_PyNumber_Float(x) (PyFloat_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Float(x))
#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
static int __Pyx_sys_getdefaultencoding_not_ascii;
static int __Pyx_init_sys_getdefaultencoding_params(void) {
    PyObject* sys;
    PyObject* default_encoding = NULL;
    PyObject* ascii_chars_u = NULL;
    PyObject* ascii_chars_b = NULL;
    const char* default_encoding_c;
    sys = PyImport_ImportModule("sys");
    if (!sys) goto bad;
    default_encoding = PyObject_CallMethod(sys, (char*) "getdefaultencoding", NULL);
    Py_DECREF(sys);
    if (!default_encoding) goto bad;
    default_encoding_c = PyBytes_AsString(default_encoding);
    if (!default_encoding_c) goto bad;
    if (strcmp(default_encoding_c, "ascii") == 0) {
        __Pyx_sys_getdefaultencoding_not_ascii = 0;
    } else {
        char ascii_chars[128];
        int c;
        for (c = 0; c < 128; c++) {
            ascii_chars[c] = c;
        }
        __Pyx_sys_getdefaultencoding_not_ascii = 1;
        ascii_chars_u = PyUnicode_DecodeASCII(ascii_chars, 128, NULL);
        if (!ascii_chars_u) goto bad;
        ascii_chars_b = PyUnicode_AsEncodedString(ascii_chars_u, default_encoding_c, NULL);
        if (!ascii_chars_b || !PyBytes_Check(ascii_chars_b) || memcmp(ascii_chars, PyBytes_AS_STRING(ascii_chars_b), 128) != 0) {
            PyErr_Format(
                PyExc_ValueError,
                "This module compiled with c_string_encoding=ascii, but default encoding '%.200s' is not a superset of ascii.",
                default_encoding_c);
            goto bad;
        }
        Py_DECREF(ascii_chars_u);
        Py_DECREF(ascii_chars_b);
    }
    Py_DECREF(default_encoding);
    return 0;
bad:
    Py_XDECREF(default_encoding);
    Py_XDECREF(ascii_chars_u);
    Py_XDECREF(ascii_chars_b);
    return -1;
}
#endif
#if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT && PY_MAJOR_VERSION >= 3
#define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_DecodeUTF8(c_str, size, NULL)
#else
#define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_Decode(c_str, size, __PYX_DEFAULT_STRING_ENCODING, NULL)
#if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
static char* __PYX_DEFAULT_STRING_ENCODING;
static int __Pyx_init_sys_getdefaultencoding_params(void) {
    PyObject* sys;
    PyObject* default_encoding = NULL;
    char* default_encoding_c;
    sys = PyImport_ImportModule("sys");
    if (!sys) goto bad;
    default_encoding = PyObject_CallMethod(sys, (char*) (const char*) "getdefaultencoding", NULL);
    Py_DECREF(sys);
    if (!default_encoding) goto bad;
    default_encoding_c = PyBytes_AsString(default_encoding);
    if (!default_encoding_c) goto bad;
    __PYX_DEFAULT_STRING_ENCODING = (char*) malloc(strlen(default_encoding_c) + 1);
    if (!__PYX_DEFAULT_STRING_ENCODING) goto bad;
    strcpy(__PYX_DEFAULT_STRING_ENCODING, default_encoding_c);
    Py_DECREF(default_encoding);
    return 0;
bad:
    Py_XDECREF(default_encoding);
    return -1;
}
#endif
#endif


/* Test for GCC > 2.95 */
#if defined(__GNUC__)     && (__GNUC__ > 2 || (__GNUC__ == 2 && (__GNUC_MINOR__ > 95)))
  #define likely(x)   __builtin_expect(!!(x), 1)
  #define unlikely(x) __builtin_expect(!!(x), 0)
#else /* !__GNUC__ or GCC < 2.95 */
  #define likely(x)   (x)
  #define unlikely(x) (x)
#endif /* __GNUC__ */
static CYTHON_INLINE void __Pyx_pretend_to_initialize(void* ptr) { (void)ptr; }

static PyObject *__pyx_m = NULL;
static PyObject *__pyx_d;
static PyObject *__pyx_b;
static PyObject *__pyx_cython_runtime = NULL;
static PyObject *__pyx_empty_tuple;
static PyObject *__pyx_empty_bytes;
static PyObject *__pyx_empty_unicode;
static int __pyx_lineno;
static int __pyx_clineno = 0;
static const char * __pyx_cfilenm= __FILE__;
static const char *__pyx_filename;

/* Header.proto */
#if !defined(CYTHON_CCOMPLEX)
  #if defined(__cplusplus)
    #define CYTHON_CCOMPLEX 1
  #elif defined(_Complex_I)
    #define CYTHON_CCOMPLEX 1
  #else
    #define CYTHON_CCOMPLEX 0
  #endif
#endif
#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    #include <complex>
  #else
    #include <complex.h>
  #endif
#endif
#if CYTHON_CCOMPLEX && !defined(__cplusplus) && defined(__sun__) && defined(__GNUC__)
  #undef _Complex_I
  #define _Complex_I 1.0fj
#endif


static const char *__pyx_f[] = {
  "pyFAI/ext/sparse_common.pxi",
  "pyFAI/ext/_distortion.pyx",
  "__init__.pxd",
  "stringsource",
  "type.pxd",
  "pyFAI/ext/sparse_builder.pxd",
  "pyFAI/ext/regrid_common.pxi",
};
/* MemviewSliceStruct.proto */
struct __pyx_memoryview_obj;
typedef struct {
  struct __pyx_memoryview_obj *memview;
  char *data;
  Py_ssize_t shape[8];
  Py_ssize_t strides[8];
  Py_ssize_t suboffsets[8];
} __Pyx_memviewslice;
#define __Pyx_MemoryView_Len(m)  (m.shape[0])

/* Atomics.proto */
#include <pythread.h>
#ifndef CYTHON_ATOMICS
    #define CYTHON_ATOMICS 1
#endif
#define __pyx_atomic_int_type int
#if CYTHON_ATOMICS && __GNUC__ >= 4 && (__GNUC_MINOR__ > 1 ||\
                    (__GNUC_MINOR__ == 1 && __GNUC_PATCHLEVEL >= 2)) &&\
                    !defined(__i386__)
    #define __pyx_atomic_incr_aligned(value, lock) __sync_fetch_and_add(value, 1)
    #define __pyx_atomic_decr_aligned(value, lock) __sync_fetch_and_sub(value, 1)
    #ifdef __PYX_DEBUG_ATOMICS
        #warning "Using GNU atomics"
    #endif
#elif CYTHON_ATOMICS && defined(_MSC_VER) && 0
    #include <Windows.h>
    #undef __pyx_atomic_int_type
    #define __pyx_atomic_int_type LONG
    #define __pyx_atomic_incr_aligned(value, lock) InterlockedIncrement(value)
    #define __pyx_atomic_decr_aligned(value, lock) InterlockedDecrement(value)
    #ifdef __PYX_DEBUG_ATOMICS
        #pragma message ("Using MSVC atomics")
    #endif
#elif CYTHON_ATOMICS && (defined(__ICC) || defined(__INTEL_COMPILER)) && 0
    #define __pyx_atomic_incr_aligned(value, lock) _InterlockedIncrement(value)
    #define __pyx_atomic_decr_aligned(value, lock) _InterlockedDecrement(value)
    #ifdef __PYX_DEBUG_ATOMICS
        #warning "Using Intel atomics"
    #endif
#else
    #undef CYTHON_ATOMICS
    #define CYTHON_ATOMICS 0
    #ifdef __PYX_DEBUG_ATOMICS
        #warning "Not using atomics"
    #endif
#endif
typedef volatile __pyx_atomic_int_type __pyx_atomic_int;
#if CYTHON_ATOMICS
    #define __pyx_add_acquisition_count(memview)\
             __pyx_atomic_incr_aligned(__pyx_get_slice_count_pointer(memview), memview->lock)
    #define __pyx_sub_acquisition_count(memview)\
            __pyx_atomic_decr_aligned(__pyx_get_slice_count_pointer(memview), memview->lock)
#else
    #define __pyx_add_acquisition_count(memview)\
            __pyx_add_acquisition_count_locked(__pyx_get_slice_count_pointer(memview), memview->lock)
    #define __pyx_sub_acquisition_count(memview)\
            __pyx_sub_acquisition_count_locked(__pyx_get_slice_count_pointer(memview), memview->lock)
#endif

/* NoFastGil.proto */
#define __Pyx_PyGILState_Ensure PyGILState_Ensure
#define __Pyx_PyGILState_Release PyGILState_Release
#define __Pyx_FastGIL_Remember()
#define __Pyx_FastGIL_Forget()
#define __Pyx_FastGilFuncInit()

/* ForceInitThreads.proto */
#ifndef __PYX_FORCE_INIT_THREADS
  #define __PYX_FORCE_INIT_THREADS 0
#endif

/* BufferFormatStructs.proto */
#define IS_UNSIGNED(type) (((type) -1) > 0)
struct __Pyx_StructField_;
#define __PYX_BUF_FLAGS_PACKED_STRUCT (1 << 0)
typedef struct {
  const char* name;
  struct __Pyx_StructField_* fields;
  size_t size;
  size_t arraysize[8];
  int ndim;
  char typegroup;
  char is_unsigned;
  int flags;
} __Pyx_TypeInfo;
typedef struct __Pyx_StructField_ {
  __Pyx_TypeInfo* type;
  const char* name;
  size_t offset;
} __Pyx_StructField;
typedef struct {
  __Pyx_StructField* field;
  size_t parent_offset;
} __Pyx_BufFmt_StackElem;
typedef struct {
  __Pyx_StructField root;
  __Pyx_BufFmt_StackElem* head;
  size_t fmt_offset;
  size_t new_count, enc_count;
  size_t struct_alignment;
  int is_complex;
  char enc_type;
  char new_packmode;
  char enc_packmode;
  char is_valid_array;
} __Pyx_BufFmt_Context;

/* None.proto */
#if defined(__GNUC__)
#define __Pyx_PACKED __attribute__((__packed__))
#else
#define __Pyx_PACKED
#endif


/* "../../../../../opt/python/cp36-cp36m/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":776
 * # in Cython to enable them only on the right systems.
 * 
 * ctypedef npy_int8       int8_t             # <<<<<<<<<<<<<<
 * ctypedef npy_int16      int16_t
 * ctypedef npy_int32      int32_t
 */
typedef npy_int8 __pyx_t_5numpy_int8_t;

/* "../../../../../opt/python/cp36-cp36m/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":777
 * 
 * ctypedef npy_int8       int8_t
 * ctypedef npy_int16      int16_t             # <<<<<<<<<<<<<<
 * ctypedef npy_int32      int32_t
 * ctypedef npy_int64      int64_t
 */
typedef npy_int16 __pyx_t_5numpy_int16_t;

/* "../../../../../opt/python/cp36-cp36m/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":778
 * ctypedef npy_int8       int8_t
 * ctypedef npy_int16      int16_t
 * ctypedef npy_int32      int32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_int64      int64_t
 * #ctypedef npy_int96      int96_t
 */
typedef npy_int32 __pyx_t_5numpy_int32_t;

/* "../../../../../opt/python/cp36-cp36m/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":779
 * ctypedef npy_int16      int16_t
 * ctypedef npy_int32      int32_t
 * ctypedef npy_int64      int64_t             # <<<<<<<<<<<<<<
 * #ctypedef npy_int96      int96_t
 * #ctypedef npy_int128     int128_t
 */
typedef npy_int64 __pyx_t_5numpy_int64_t;

/* "../../../../../opt/python/cp36-cp36m/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":783
 * #ctypedef npy_int128     int128_t
 * 
 * ctypedef npy_uint8      uint8_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t
 */
typedef npy_uint8 __pyx_t_5numpy_uint8_t;

/* "../../../../../opt/python/cp36-cp36m/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":784
 * 
 * ctypedef npy_uint8      uint8_t
 * ctypedef npy_uint16     uint16_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uint32     uint32_t
 * ctypedef npy_uint64     uint64_t
 */
typedef npy_uint16 __pyx_t_5numpy_uint16_t;

/* "../../../../../opt/python/cp36-cp36m/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":785
 * ctypedef npy_uint8      uint8_t
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uint64     uint64_t
 * #ctypedef npy_uint96     uint96_t
 */
typedef npy_uint32 __pyx_t_5numpy_uint32_t;

/* "../../../../../opt/python/cp36-cp36m/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":786
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t
 * ctypedef npy_uint64     uint64_t             # <<<<<<<<<<<<<<
 * #ctypedef npy_uint96     uint96_t
 * #ctypedef npy_uint128    uint128_t
 */
typedef npy_uint64 __pyx_t_5numpy_uint64_t;

/* "../../../../../opt/python/cp36-cp36m/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":790
 * #ctypedef npy_uint128    uint128_t
 * 
 * ctypedef npy_float32    float32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_float64    float64_t
 * #ctypedef npy_float80    float80_t
 */
typedef npy_float32 __pyx_t_5numpy_float32_t;

/* "../../../../../opt/python/cp36-cp36m/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":791
 * 
 * ctypedef npy_float32    float32_t
 * ctypedef npy_float64    float64_t             # <<<<<<<<<<<<<<
 * #ctypedef npy_float80    float80_t
 * #ctypedef npy_float128   float128_t
 */
typedef npy_float64 __pyx_t_5numpy_float64_t;

/* "../../../../../opt/python/cp36-cp36m/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":800
 * # The int types are mapped a bit surprising --
 * # numpy.int corresponds to 'l' and numpy.long to 'q'
 * ctypedef npy_long       int_t             # <<<<<<<<<<<<<<
 * ctypedef npy_longlong   long_t
 * ctypedef npy_longlong   longlong_t
 */
typedef npy_long __pyx_t_5numpy_int_t;

/* "../../../../../opt/python/cp36-cp36m/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":801
 * # numpy.int corresponds to 'l' and numpy.long to 'q'
 * ctypedef npy_long       int_t
 * ctypedef npy_longlong   long_t             # <<<<<<<<<<<<<<
 * ctypedef npy_longlong   longlong_t
 * 
 */
typedef npy_longlong __pyx_t_5numpy_long_t;

/* "../../../../../opt/python/cp36-cp36m/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":802
 * ctypedef npy_long       int_t
 * ctypedef npy_longlong   long_t
 * ctypedef npy_longlong   longlong_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_ulong      uint_t
 */
typedef npy_longlong __pyx_t_5numpy_longlong_t;

/* "../../../../../opt/python/cp36-cp36m/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":804
 * ctypedef npy_longlong   longlong_t
 * 
 * ctypedef npy_ulong      uint_t             # <<<<<<<<<<<<<<
 * ctypedef npy_ulonglong  ulong_t
 * ctypedef npy_ulonglong  ulonglong_t
 */
typedef npy_ulong __pyx_t_5numpy_uint_t;

/* "../../../../../opt/python/cp36-cp36m/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":805
 * 
 * ctypedef npy_ulong      uint_t
 * ctypedef npy_ulonglong  ulong_t             # <<<<<<<<<<<<<<
 * ctypedef npy_ulonglong  ulonglong_t
 * 
 */
typedef npy_ulonglong __pyx_t_5numpy_ulong_t;

/* "../../../../../opt/python/cp36-cp36m/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":806
 * ctypedef npy_ulong      uint_t
 * ctypedef npy_ulonglong  ulong_t
 * ctypedef npy_ulonglong  ulonglong_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_intp       intp_t
 */
typedef npy_ulonglong __pyx_t_5numpy_ulonglong_t;

/* "../../../../../opt/python/cp36-cp36m/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":808
 * ctypedef npy_ulonglong  ulonglong_t
 * 
 * ctypedef npy_intp       intp_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uintp      uintp_t
 * 
 */
typedef npy_intp __pyx_t_5numpy_intp_t;

/* "../../../../../opt/python/cp36-cp36m/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":809
 * 
 * ctypedef npy_intp       intp_t
 * ctypedef npy_uintp      uintp_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_double     float_t
 */
typedef npy_uintp __pyx_t_5numpy_uintp_t;

/* "../../../../../opt/python/cp36-cp36m/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":811
 * ctypedef npy_uintp      uintp_t
 * 
 * ctypedef npy_double     float_t             # <<<<<<<<<<<<<<
 * ctypedef npy_double     double_t
 * ctypedef npy_longdouble longdouble_t
 */
typedef npy_double __pyx_t_5numpy_float_t;

/* "../../../../../opt/python/cp36-cp36m/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":812
 * 
 * ctypedef npy_double     float_t
 * ctypedef npy_double     double_t             # <<<<<<<<<<<<<<
 * ctypedef npy_longdouble longdouble_t
 * 
 */
typedef npy_double __pyx_t_5numpy_double_t;

/* "../../../../../opt/python/cp36-cp36m/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":813
 * ctypedef npy_double     float_t
 * ctypedef npy_double     double_t
 * ctypedef npy_longdouble longdouble_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_cfloat      cfloat_t
 */
typedef npy_longdouble __pyx_t_5numpy_longdouble_t;

/* "pyFAI/ext/regrid_common.pxi":59
 * 
 * # How position are stored
 * ctypedef cnumpy.float64_t position_t             # <<<<<<<<<<<<<<
 * position_d = numpy.float64
 * 
 */
typedef __pyx_t_5numpy_float64_t __pyx_t_5pyFAI_3ext_11_distortion_position_t;

/* "pyFAI/ext/regrid_common.pxi":63
 * 
 * # How weights or data are stored
 * ctypedef cnumpy.float32_t data_t             # <<<<<<<<<<<<<<
 * data_d = numpy.float32
 * 
 */
typedef __pyx_t_5numpy_float32_t __pyx_t_5pyFAI_3ext_11_distortion_data_t;

/* "pyFAI/ext/regrid_common.pxi":67
 * 
 * # how data are accumulated
 * ctypedef cnumpy.float64_t acc_t             # <<<<<<<<<<<<<<
 * acc_d = numpy.float64
 * 
 */
typedef __pyx_t_5numpy_float64_t __pyx_t_5pyFAI_3ext_11_distortion_acc_t;

/* "pyFAI/ext/regrid_common.pxi":71
 * 
 * # type of the mask:
 * ctypedef cnumpy.int8_t mask_t             # <<<<<<<<<<<<<<
 * mask_d = numpy.int8
 * 
 */
typedef __pyx_t_5numpy_int8_t __pyx_t_5pyFAI_3ext_11_distortion_mask_t;
/* Declarations.proto */
#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    typedef ::std::complex< float > __pyx_t_float_complex;
  #else
    typedef float _Complex __pyx_t_float_complex;
  #endif
#else
    typedef struct { float real, imag; } __pyx_t_float_complex;
#endif
static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float, float);

/* Declarations.proto */
#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    typedef ::std::complex< double > __pyx_t_double_complex;
  #else
    typedef double _Complex __pyx_t_double_complex;
  #endif
#else
    typedef struct { double real, imag; } __pyx_t_double_complex;
#endif
static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double, double);


/*--- Type declarations ---*/
struct __pyx_obj_5pyFAI_3ext_14sparse_builder_SparseBuilder;
struct __pyx_array_obj;
struct __pyx_MemviewEnum_obj;
struct __pyx_memoryview_obj;
struct __pyx_memoryviewslice_obj;

/* "../../../../../opt/python/cp36-cp36m/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":815
 * ctypedef npy_longdouble longdouble_t
 * 
 * ctypedef npy_cfloat      cfloat_t             # <<<<<<<<<<<<<<
 * ctypedef npy_cdouble     cdouble_t
 * ctypedef npy_clongdouble clongdouble_t
 */
typedef npy_cfloat __pyx_t_5numpy_cfloat_t;

/* "../../../../../opt/python/cp36-cp36m/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":816
 * 
 * ctypedef npy_cfloat      cfloat_t
 * ctypedef npy_cdouble     cdouble_t             # <<<<<<<<<<<<<<
 * ctypedef npy_clongdouble clongdouble_t
 * 
 */
typedef npy_cdouble __pyx_t_5numpy_cdouble_t;

/* "../../../../../opt/python/cp36-cp36m/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":817
 * ctypedef npy_cfloat      cfloat_t
 * ctypedef npy_cdouble     cdouble_t
 * ctypedef npy_clongdouble clongdouble_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_cdouble     complex_t
 */
typedef npy_clongdouble __pyx_t_5numpy_clongdouble_t;

/* "../../../../../opt/python/cp36-cp36m/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":819
 * ctypedef npy_clongdouble clongdouble_t
 * 
 * ctypedef npy_cdouble     complex_t             # <<<<<<<<<<<<<<
 * 
 * cdef inline object PyArray_MultiIterNew1(a):
 */
typedef npy_cdouble __pyx_t_5numpy_complex_t;
struct __pyx_t_5pyFAI_3ext_14sparse_builder_pixel_t;
struct __pyx_t_5pyFAI_3ext_14sparse_builder_sparse_builder_private_t;

/* "sparse_builder.pxd":34
 * 
 * 
 * cdef packed struct pixel_t:             # <<<<<<<<<<<<<<
 *     cnumpy.int32_t index
 *     cnumpy.float32_t coef
 */
#if defined(__SUNPRO_C)
  #pragma pack(1)
#elif !defined(__GNUC__)
  #pragma pack(push, 1)
#endif
struct __Pyx_PACKED __pyx_t_5pyFAI_3ext_14sparse_builder_pixel_t {
  __pyx_t_5numpy_int32_t index;
  __pyx_t_5numpy_float32_t coef;
};
#if defined(__SUNPRO_C)
  #pragma pack()
#elif !defined(__GNUC__)
  #pragma pack(pop)
#endif

/* "sparse_builder.pxd":39
 * 
 * 
 * cdef struct sparse_builder_private_t:             # <<<<<<<<<<<<<<
 *     void **_bins
 *     void *_compact_bins
 */
struct __pyx_t_5pyFAI_3ext_14sparse_builder_sparse_builder_private_t {
  void **_bins;
  void *_compact_bins;
  void *_heap;
};
struct __pyx_t_5pyFAI_3ext_11_distortion_preproc_t;
struct __pyx_opt_args_5pyFAI_3ext_11_distortion_update_2d_accumulator;
struct __pyx_t_5pyFAI_3ext_11_distortion_lut_t;
struct __pyx_fuse_0_0__pyx_opt_args_5pyFAI_3ext_11_distortion_preproc_value_inplace;
struct __pyx_fuse_0_1__pyx_opt_args_5pyFAI_3ext_11_distortion_preproc_value_inplace;
struct __pyx_fuse_0_2__pyx_opt_args_5pyFAI_3ext_11_distortion_preproc_value_inplace;
struct __pyx_fuse_0_3__pyx_opt_args_5pyFAI_3ext_11_distortion_preproc_value_inplace;
struct __pyx_fuse_0_4__pyx_opt_args_5pyFAI_3ext_11_distortion_preproc_value_inplace;
struct __pyx_fuse_0_5__pyx_opt_args_5pyFAI_3ext_11_distortion_preproc_value_inplace;
struct __pyx_fuse_0_6__pyx_opt_args_5pyFAI_3ext_11_distortion_preproc_value_inplace;
struct __pyx_fuse_0_7__pyx_opt_args_5pyFAI_3ext_11_distortion_preproc_value_inplace;
struct __pyx_fuse_1_0__pyx_opt_args_5pyFAI_3ext_11_distortion_preproc_value_inplace;
struct __pyx_fuse_1_1__pyx_opt_args_5pyFAI_3ext_11_distortion_preproc_value_inplace;
struct __pyx_fuse_1_2__pyx_opt_args_5pyFAI_3ext_11_distortion_preproc_value_inplace;
struct __pyx_fuse_1_3__pyx_opt_args_5pyFAI_3ext_11_distortion_preproc_value_inplace;
struct __pyx_fuse_1_4__pyx_opt_args_5pyFAI_3ext_11_distortion_preproc_value_inplace;
struct __pyx_fuse_1_5__pyx_opt_args_5pyFAI_3ext_11_distortion_preproc_value_inplace;
struct __pyx_fuse_1_6__pyx_opt_args_5pyFAI_3ext_11_distortion_preproc_value_inplace;
struct __pyx_fuse_1_7__pyx_opt_args_5pyFAI_3ext_11_distortion_preproc_value_inplace;
struct __pyx_defaults;
typedef struct __pyx_defaults __pyx_defaults;
struct __pyx_defaults1;
typedef struct __pyx_defaults1 __pyx_defaults1;
struct __pyx_defaults2;
typedef struct __pyx_defaults2 __pyx_defaults2;
struct __pyx_defaults3;
typedef struct __pyx_defaults3 __pyx_defaults3;
struct __pyx_defaults4;
typedef struct __pyx_defaults4 __pyx_defaults4;
struct __pyx_defaults5;
typedef struct __pyx_defaults5 __pyx_defaults5;
struct __pyx_defaults6;
typedef struct __pyx_defaults6 __pyx_defaults6;
struct __pyx_defaults7;
typedef struct __pyx_defaults7 __pyx_defaults7;

/* "pyFAI/ext/regrid_common.pxi":98
 * 
 * cdef:
 *     struct preproc_t:             # <<<<<<<<<<<<<<
 *         data_t signal
 *         data_t variance
 */
struct __pyx_t_5pyFAI_3ext_11_distortion_preproc_t {
  __pyx_t_5pyFAI_3ext_11_distortion_data_t signal;
  __pyx_t_5pyFAI_3ext_11_distortion_data_t variance;
  __pyx_t_5pyFAI_3ext_11_distortion_data_t norm;
  __pyx_t_5pyFAI_3ext_11_distortion_data_t count;
};

/* "pyFAI/ext/regrid_common.pxi":223
 * 
 * @cython.boundscheck(False)
 * cdef void update_2d_accumulator(acc_t[:, :, ::1] out_data,             # <<<<<<<<<<<<<<
 *                                 int bin0,
 *                                 int bin1,
 */
struct __pyx_opt_args_5pyFAI_3ext_11_distortion_update_2d_accumulator {
  int __pyx_n;
  double weight;
};

/* "pyFAI/ext/sparse_common.pxi":43
 * cimport numpy as cnumpy
 * 
 * cdef struct lut_t:             # <<<<<<<<<<<<<<
 *     cnumpy.int32_t idx
 *     cnumpy.float32_t coef
 */
struct __pyx_t_5pyFAI_3ext_11_distortion_lut_t {
  __pyx_t_5numpy_int32_t idx;
  __pyx_t_5numpy_float32_t coef;
};

/* "pyFAI/ext/regrid_common.pxi":143
 * 
 * 
 * cdef inline bint preproc_value_inplace(preproc_t* result,             # <<<<<<<<<<<<<<
 *                                        floating data,
 *                                        floating variance=0.0,
 */
struct __pyx_fuse_0_0__pyx_opt_args_5pyFAI_3ext_11_distortion_preproc_value_inplace {
  int __pyx_n;
  float variance;
  float dark;
  float flat;
  float solidangle;
  float polarization;
  float absorption;
  __pyx_t_5numpy_uint8_t mask;
  float dummy;
  float delta_dummy;
  int check_dummy;
  float normalization_factor;
  float dark_variance;
};
struct __pyx_fuse_0_1__pyx_opt_args_5pyFAI_3ext_11_distortion_preproc_value_inplace {
  int __pyx_n;
  float variance;
  float dark;
  float flat;
  float solidangle;
  float polarization;
  float absorption;
  __pyx_t_5numpy_uint16_t mask;
  float dummy;
  float delta_dummy;
  int check_dummy;
  float normalization_factor;
  float dark_variance;
};
struct __pyx_fuse_0_2__pyx_opt_args_5pyFAI_3ext_11_distortion_preproc_value_inplace {
  int __pyx_n;
  float variance;
  float dark;
  float flat;
  float solidangle;
  float polarization;
  float absorption;
  __pyx_t_5numpy_uint32_t mask;
  float dummy;
  float delta_dummy;
  int check_dummy;
  float normalization_factor;
  float dark_variance;
};
struct __pyx_fuse_0_3__pyx_opt_args_5pyFAI_3ext_11_distortion_preproc_value_inplace {
  int __pyx_n;
  float variance;
  float dark;
  float flat;
  float solidangle;
  float polarization;
  float absorption;
  __pyx_t_5numpy_uint64_t mask;
  float dummy;
  float delta_dummy;
  int check_dummy;
  float normalization_factor;
  float dark_variance;
};
struct __pyx_fuse_0_4__pyx_opt_args_5pyFAI_3ext_11_distortion_preproc_value_inplace {
  int __pyx_n;
  float variance;
  float dark;
  float flat;
  float solidangle;
  float polarization;
  float absorption;
  __pyx_t_5numpy_int8_t mask;
  float dummy;
  float delta_dummy;
  int check_dummy;
  float normalization_factor;
  float dark_variance;
};
struct __pyx_fuse_0_5__pyx_opt_args_5pyFAI_3ext_11_distortion_preproc_value_inplace {
  int __pyx_n;
  float variance;
  float dark;
  float flat;
  float solidangle;
  float polarization;
  float absorption;
  __pyx_t_5numpy_int16_t mask;
  float dummy;
  float delta_dummy;
  int check_dummy;
  float normalization_factor;
  float dark_variance;
};
struct __pyx_fuse_0_6__pyx_opt_args_5pyFAI_3ext_11_distortion_preproc_value_inplace {
  int __pyx_n;
  float variance;
  float dark;
  float flat;
  float solidangle;
  float polarization;
  float absorption;
  __pyx_t_5numpy_int32_t mask;
  float dummy;
  float delta_dummy;
  int check_dummy;
  float normalization_factor;
  float dark_variance;
};
struct __pyx_fuse_0_7__pyx_opt_args_5pyFAI_3ext_11_distortion_preproc_value_inplace {
  int __pyx_n;
  float variance;
  float dark;
  float flat;
  float solidangle;
  float polarization;
  float absorption;
  __pyx_t_5numpy_int64_t mask;
  float dummy;
  float delta_dummy;
  int check_dummy;
  float normalization_factor;
  float dark_variance;
};
struct __pyx_fuse_1_0__pyx_opt_args_5pyFAI_3ext_11_distortion_preproc_value_inplace {
  int __pyx_n;
  double variance;
  double dark;
  double flat;
  double solidangle;
  double polarization;
  double absorption;
  __pyx_t_5numpy_uint8_t mask;
  double dummy;
  double delta_dummy;
  int check_dummy;
  double normalization_factor;
  double dark_variance;
};
struct __pyx_fuse_1_1__pyx_opt_args_5pyFAI_3ext_11_distortion_preproc_value_inplace {
  int __pyx_n;
  double variance;
  double dark;
  double flat;
  double solidangle;
  double polarization;
  double absorption;
  __pyx_t_5numpy_uint16_t mask;
  double dummy;
  double delta_dummy;
  int check_dummy;
  double normalization_factor;
  double dark_variance;
};
struct __pyx_fuse_1_2__pyx_opt_args_5pyFAI_3ext_11_distortion_preproc_value_inplace {
  int __pyx_n;
  double variance;
  double dark;
  double flat;
  double solidangle;
  double polarization;
  double absorption;
  __pyx_t_5numpy_uint32_t mask;
  double dummy;
  double delta_dummy;
  int check_dummy;
  double normalization_factor;
  double dark_variance;
};
struct __pyx_fuse_1_3__pyx_opt_args_5pyFAI_3ext_11_distortion_preproc_value_inplace {
  int __pyx_n;
  double variance;
  double dark;
  double flat;
  double solidangle;
  double polarization;
  double absorption;
  __pyx_t_5numpy_uint64_t mask;
  double dummy;
  double delta_dummy;
  int check_dummy;
  double normalization_factor;
  double dark_variance;
};
struct __pyx_fuse_1_4__pyx_opt_args_5pyFAI_3ext_11_distortion_preproc_value_inplace {
  int __pyx_n;
  double variance;
  double dark;
  double flat;
  double solidangle;
  double polarization;
  double absorption;
  __pyx_t_5numpy_int8_t mask;
  double dummy;
  double delta_dummy;
  int check_dummy;
  double normalization_factor;
  double dark_variance;
};
struct __pyx_fuse_1_5__pyx_opt_args_5pyFAI_3ext_11_distortion_preproc_value_inplace {
  int __pyx_n;
  double variance;
  double dark;
  double flat;
  double solidangle;
  double polarization;
  double absorption;
  __pyx_t_5numpy_int16_t mask;
  double dummy;
  double delta_dummy;
  int check_dummy;
  double normalization_factor;
  double dark_variance;
};
struct __pyx_fuse_1_6__pyx_opt_args_5pyFAI_3ext_11_distortion_preproc_value_inplace {
  int __pyx_n;
  double variance;
  double dark;
  double flat;
  double solidangle;
  double polarization;
  double absorption;
  __pyx_t_5numpy_int32_t mask;
  double dummy;
  double delta_dummy;
  int check_dummy;
  double normalization_factor;
  double dark_variance;
};
struct __pyx_fuse_1_7__pyx_opt_args_5pyFAI_3ext_11_distortion_preproc_value_inplace {
  int __pyx_n;
  double variance;
  double dark;
  double flat;
  double solidangle;
  double polarization;
  double absorption;
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static long __Pyx__PyObject_Ord(PyObject* c);

/* SetItemInt.proto */
#define __Pyx_SetItemInt(o, i, v, type, is_signed, to_py_func, is_list, wraparound, boundscheck)\
    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
    __Pyx_SetItemInt_Fast(o, (Py_ssize_t)i, v, is_list, wraparound, boundscheck) :\
    (is_list ? (PyErr_SetString(PyExc_IndexError, "list assignment index out of range"), -1) :\
               __Pyx_SetItemInt_Generic(o, to_py_func(i), v)))
static int __Pyx_SetItemInt_Generic(PyObject *o, PyObject *j, PyObject *v);
static CYTHON_INLINE int __Pyx_SetItemInt_Fast(PyObject *o, Py_ssize_t i, PyObject *v,
                                               int is_list, int wraparound, int boundscheck);

/* IterFinish.proto */
static CYTHON_INLINE int __Pyx_IterFinish(void);

/* PyObjectGetMethod.proto */
static int __Pyx_PyObject_GetMethod(PyObject *obj, PyObject *name, PyObject **method);

/* PyObjectCallMethod0.proto */
static PyObject* __Pyx_PyObject_CallMethod0(PyObject* obj, PyObject* method_name);

/* RaiseNeedMoreValuesToUnpack.proto */
static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index);

/* RaiseTooManyValuesToUnpack.proto */
static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected);

/* UnpackItemEndCheck.proto */
static int __Pyx_IternextUnpackEndCheck(PyObject *retval, Py_ssize_t expected);

/* RaiseNoneIterError.proto */
static CYTHON_INLINE void __Pyx_RaiseNoneNotIterableError(void);

/* UnpackTupleError.proto */
static void __Pyx_UnpackTupleError(PyObject *, Py_ssize_t index);

/* UnpackTuple2.proto */
#define __Pyx_unpack_tuple2(tuple, value1, value2, is_tuple, has_known_size, decref_tuple)\
    (likely(is_tuple || PyTuple_Check(tuple)) ?\
        (likely(has_known_size || PyTuple_GET_SIZE(tuple) == 2) ?\
            __Pyx_unpack_tuple2_exact(tuple, value1, value2, decref_tuple) :\
            (__Pyx_UnpackTupleError(tuple, 2), -1)) :\
        __Pyx_unpack_tuple2_generic(tuple, value1, value2, has_known_size, decref_tuple))
static CYTHON_INLINE int __Pyx_unpack_tuple2_exact(
    PyObject* tuple, PyObject** value1, PyObject** value2, int decref_tuple);
static int __Pyx_unpack_tuple2_generic(
    PyObject* tuple, PyObject** value1, PyObject** value2, int has_known_size, int decref_tuple);

/* dict_iter.proto */
static CYTHON_INLINE PyObject* __Pyx_dict_iterator(PyObject* dict, int is_dict, PyObject* method_name,
                                                   Py_ssize_t* p_orig_length, int* p_is_dict);
static CYTHON_INLINE int __Pyx_dict_iter_next(PyObject* dict_or_iter, Py_ssize_t orig_length, Py_ssize_t* ppos,
                                              PyObject** pkey, PyObject** pvalue, PyObject** pitem, int is_dict);

/* GetItemInt.proto */
#define __Pyx_GetItemInt(o, i, type, is_signed, to_py_func, is_list, wraparound, boundscheck)\
    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
    __Pyx_GetItemInt_Fast(o, (Py_ssize_t)i, is_list, wraparound, boundscheck) :\
    (is_list ? (PyErr_SetString(PyExc_IndexError, "list index out of range"), (PyObject*)NULL) :\
               __Pyx_GetItemInt_Generic(o, to_py_func(i))))
#define __Pyx_GetItemInt_List(o, i, type, is_signed, to_py_func, is_list, wraparound, boundscheck)\
    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
    __Pyx_GetItemInt_List_Fast(o, (Py_ssize_t)i, wraparound, boundscheck) :\
    (PyErr_SetString(PyExc_IndexError, "list index out of range"), (PyObject*)NULL))
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_List_Fast(PyObject *o, Py_ssize_t i,
                                                              int wraparound, int boundscheck);
#define __Pyx_GetItemInt_Tuple(o, i, type, is_signed, to_py_func, is_list, wraparound, boundscheck)\
    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
    __Pyx_GetItemInt_Tuple_Fast(o, (Py_ssize_t)i, wraparound, boundscheck) :\
    (PyErr_SetString(PyExc_IndexError, "tuple index out of range"), (PyObject*)NULL))
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Tuple_Fast(PyObject *o, Py_ssize_t i,
                                                              int wraparound, int boundscheck);
static PyObject *__Pyx_GetItemInt_Generic(PyObject *o, PyObject* j);
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Fast(PyObject *o, Py_ssize_t i,
                                                     int is_list, int wraparound, int boundscheck);

/* ListAppend.proto */
#if CYTHON_USE_PYLIST_INTERNALS && CYTHON_ASSUME_SAFE_MACROS
static CYTHON_INLINE int __Pyx_PyList_Append(PyObject* list, PyObject* x) {
    PyListObject* L = (PyListObject*) list;
    Py_ssize_t len = Py_SIZE(list);
    if (likely(L->allocated > len) & likely(len > (L->allocated >> 1))) {
        Py_INCREF(x);
        PyList_SET_ITEM(list, len, x);
        Py_SIZE(list) = len+1;
        return 0;
    }
    return PyList_Append(list, x);
}
#else
#define __Pyx_PyList_Append(L,x) PyList_Append(L,x)
#endif

/* PyIntFromDouble.proto */
#if PY_MAJOR_VERSION < 3
static CYTHON_INLINE PyObject* __Pyx_PyInt_FromDouble(double value);
#else
#define __Pyx_PyInt_FromDouble(value) PyLong_FromDouble(value)
#endif

/* BuildPyUnicode.proto */
static PyObject* __Pyx_PyUnicode_BuildFromAscii(Py_ssize_t ulength, char* chars, int clength,
                                                int prepend_sign, char padding_char);

/* CIntToPyUnicode.proto */
static CYTHON_INLINE PyObject* __Pyx_PyUnicode_From_int(int value, Py_ssize_t width, char padding_char, char format_char);

/* CIntToPyUnicode.proto */
static CYTHON_INLINE PyObject* __Pyx_PyUnicode_From_Py_ssize_t(Py_ssize_t value, Py_ssize_t width, char padding_char, char format_char);

/* IncludeStringH.proto */
#include <string.h>

/* JoinPyUnicode.proto */
static PyObject* __Pyx_PyUnicode_Join(PyObject* value_tuple, Py_ssize_t value_count, Py_ssize_t result_ulength,
                                      Py_UCS4 max_char);

/* PyFloatBinop.proto */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyFloat_TrueDivideObjC(PyObject *op1, PyObject *op2, double floatval, int inplace, int zerodivision_check);
#else
#define __Pyx_PyFloat_TrueDivideObjC(op1, op2, floatval, inplace, zerodivision_check)\
    (inplace ? PyNumber_InPlaceTrueDivide(op1, op2) : PyNumber_TrueDivide(op1, op2))
#endif

/* PyObjectFormatAndDecref.proto */
static CYTHON_INLINE PyObject* __Pyx_PyObject_FormatSimpleAndDecref(PyObject* s, PyObject* f);
static CYTHON_INLINE PyObject* __Pyx_PyObject_FormatAndDecref(PyObject* s, PyObject* f);

/* ExtTypeTest.proto */
static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type);

/* IsLittleEndian.proto */
static CYTHON_INLINE int __Pyx_Is_Little_Endian(void);

/* BufferFormatCheck.proto */
static const char* __Pyx_BufFmt_CheckString(__Pyx_BufFmt_Context* ctx, const char* ts);
static void __Pyx_BufFmt_Init(__Pyx_BufFmt_Context* ctx,
                              __Pyx_BufFmt_StackElem* stack,
                              __Pyx_TypeInfo* type);

/* BufferGetAndValidate.proto */
#define __Pyx_GetBufferAndValidate(buf, obj, dtype, flags, nd, cast, stack)\
    ((obj == Py_None || obj == NULL) ?\
    (__Pyx_ZeroBuffer(buf), 0) :\
    __Pyx__GetBufferAndValidate(buf, obj, dtype, flags, nd, cast, stack))
static int  __Pyx__GetBufferAndValidate(Py_buffer* buf, PyObject* obj,
    __Pyx_TypeInfo* dtype, int flags, int nd, int cast, __Pyx_BufFmt_StackElem* stack);
static void __Pyx_ZeroBuffer(Py_buffer* buf);
static CYTHON_INLINE void __Pyx_SafeReleaseBuffer(Py_buffer* info);
static Py_ssize_t __Pyx_minusones[] = { -1, -1, -1, -1, -1, -1, -1, -1 };
static Py_ssize_t __Pyx_zeros[] = { 0, 0, 0, 0, 0, 0, 0, 0 };

#define __Pyx_BufPtrStrided2d(type, buf, i0, s0, i1, s1) (type)((char*)buf + i0 * s0 + i1 * s1)
/* BytesEquals.proto */
static CYTHON_INLINE int __Pyx_PyBytes_Equals(PyObject* s1, PyObject* s2, int equals);

/* UnicodeEquals.proto */
static CYTHON_INLINE int __Pyx_PyUnicode_Equals(PyObject* s1, PyObject* s2, int equals);

/* PyIntCompare.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_EqObjC(PyObject *op1, PyObject *op2, long intval, long inplace);

/* ObjectGetItem.proto */
#if CYTHON_USE_TYPE_SLOTS
static CYTHON_INLINE PyObject *__Pyx_PyObject_GetItem(PyObject *obj, PyObject* key);
#else
#define __Pyx_PyObject_GetItem(obj, key)  PyObject_GetItem(obj, key)
#endif

/* PyIntBinop.proto */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyInt_SubtractObjC(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check);
#else
#define __Pyx_PyInt_SubtractObjC(op1, op2, intval, inplace, zerodivision_check)\
    (inplace ? PyNumber_InPlaceSubtract(op1, op2) : PyNumber_Subtract(op1, op2))
#endif

/* PySequenceContains.proto */
static CYTHON_INLINE int __Pyx_PySequence_ContainsTF(PyObject* item, PyObject* seq, int eq) {
    int result = PySequence_Contains(seq, item);
    return unlikely(result < 0) ? result : (result == (eq == Py_EQ));
}

/* ListCompAppend.proto */
#if CYTHON_USE_PYLIST_INTERNALS && CYTHON_ASSUME_SAFE_MACROS
static CYTHON_INLINE int __Pyx_ListComp_Append(PyObject* list, PyObject* x) {
    PyListObject* L = (PyListObject*) list;
    Py_ssize_t len = Py_SIZE(list);
    if (likely(L->allocated > len)) {
        Py_INCREF(x);
        PyList_SET_ITEM(list, len, x);
        Py_SIZE(list) = len+1;
        return 0;
    }
    return PyList_Append(list, x);
}
#else
#define __Pyx_ListComp_Append(L,x) PyList_Append(L,x)
#endif

/* PyObjectLookupSpecial.proto */
#if CYTHON_USE_PYTYPE_LOOKUP && CYTHON_USE_TYPE_SLOTS
static CYTHON_INLINE PyObject* __Pyx_PyObject_LookupSpecial(PyObject* obj, PyObject* attr_name) {
    PyObject *res;
    PyTypeObject *tp = Py_TYPE(obj);
#if PY_MAJOR_VERSION < 3
    if (unlikely(PyInstance_Check(obj)))
        return __Pyx_PyObject_GetAttrStr(obj, attr_name);
#endif
    res = _PyType_Lookup(tp, attr_name);
    if (likely(res)) {
        descrgetfunc f = Py_TYPE(res)->tp_descr_get;
        if (!f) {
            Py_INCREF(res);
        } else {
            res = f(res, obj, (PyObject *)tp);
        }
    } else {
        PyErr_SetObject(PyExc_AttributeError, attr_name);
    }
    return res;
}
#else
#define __Pyx_PyObject_LookupSpecial(o,n) __Pyx_PyObject_GetAttrStr(o,n)
#endif

/* PyIntBinop.proto */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyInt_AddObjC(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check);
#else
#define __Pyx_PyInt_AddObjC(op1, op2, intval, inplace, zerodivision_check)\
    (inplace ? PyNumber_InPlaceAdd(op1, op2) : PyNumber_Add(op1, op2))
#endif

/* PyFloatBinop.proto */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyFloat_SubtractObjC(PyObject *op1, PyObject *op2, double floatval, int inplace, int zerodivision_check);
#else
#define __Pyx_PyFloat_SubtractObjC(op1, op2, floatval, inplace, zerodivision_check)\
    (inplace ? PyNumber_InPlaceSubtract(op1, op2) : PyNumber_Subtract(op1, op2))
#endif

/* PyFloatBinop.proto */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyFloat_AddObjC(PyObject *op1, PyObject *op2, double floatval, int inplace, int zerodivision_check);
#else
#define __Pyx_PyFloat_AddObjC(op1, op2, floatval, inplace, zerodivision_check)\
    (inplace ? PyNumber_InPlaceAdd(op1, op2) : PyNumber_Add(op1, op2))
#endif

/* SliceObject.proto */
static CYTHON_INLINE PyObject* __Pyx_PyObject_GetSlice(
        PyObject* obj, Py_ssize_t cstart, Py_ssize_t cstop,
        PyObject** py_start, PyObject** py_stop, PyObject** py_slice,
        int has_cstart, int has_cstop, int wraparound);

/* GetTopmostException.proto */
#if CYTHON_USE_EXC_INFO_STACK
static _PyErr_StackItem * __Pyx_PyErr_GetTopmostException(PyThreadState *tstate);
#endif

/* SaveResetException.proto */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_ExceptionSave(type, value, tb)  __Pyx__ExceptionSave(__pyx_tstate, type, value, tb)
static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
#define __Pyx_ExceptionReset(type, value, tb)  __Pyx__ExceptionReset(__pyx_tstate, type, value, tb)
static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb);
#else
#define __Pyx_ExceptionSave(type, value, tb)   PyErr_GetExcInfo(type, value, tb)
#define __Pyx_ExceptionReset(type, value, tb)  PyErr_SetExcInfo(type, value, tb)
#endif

/* GetException.proto */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_GetException(type, value, tb)  __Pyx__GetException(__pyx_tstate, type, value, tb)
static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
#else
static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb);
#endif

/* BufferFallbackError.proto */
static void __Pyx_RaiseBufferFallbackError(void);

#define __Pyx_BufPtrStrided3d(type, buf, i0, s0, i1, s1, i2, s2) (type)((char*)buf + i0 * s0 + i1 * s1 + i2 * s2)
/* PyErrExceptionMatches.proto */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_PyErr_ExceptionMatches(err) __Pyx_PyErr_ExceptionMatchesInState(__pyx_tstate, err)
static CYTHON_INLINE int __Pyx_PyErr_ExceptionMatchesInState(PyThreadState* tstate, PyObject* err);
#else
#define __Pyx_PyErr_ExceptionMatches(err)  PyErr_ExceptionMatches(err)
#endif

/* ArgTypeTest.proto */
#define __Pyx_ArgTypeTest(obj, type, none_allowed, name, exact)\
    ((likely((Py_TYPE(obj) == type) | (none_allowed && (obj == Py_None)))) ? 1 :\
        __Pyx__ArgTypeTest(obj, type, name, exact))
static int __Pyx__ArgTypeTest(PyObject *obj, PyTypeObject *type, const char *name, int exact);

/* StrEquals.proto */
#if PY_MAJOR_VERSION >= 3
#define __Pyx_PyString_Equals __Pyx_PyUnicode_Equals
#else
#define __Pyx_PyString_Equals __Pyx_PyBytes_Equals
#endif

/* None.proto */
static CYTHON_INLINE Py_ssize_t __Pyx_div_Py_ssize_t(Py_ssize_t, Py_ssize_t);

/* UnaryNegOverflows.proto */
#define UNARY_NEG_WOULD_OVERFLOW(x)\
        (((x) < 0) & ((unsigned long)(x) == 0-(unsigned long)(x)))

static CYTHON_UNUSED int __pyx_array_getbuffer(PyObject *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /*proto*/
static PyObject *__pyx_array_get_memview(struct __pyx_array_obj *); /*proto*/
/* GetAttr.proto */
static CYTHON_INLINE PyObject *__Pyx_GetAttr(PyObject *, PyObject *);

/* decode_c_string_utf16.proto */
static CYTHON_INLINE PyObject *__Pyx_PyUnicode_DecodeUTF16(const char *s, Py_ssize_t size, const char *errors) {
    int byteorder = 0;
    return PyUnicode_DecodeUTF16(s, size, errors, &byteorder);
}
static CYTHON_INLINE PyObject *__Pyx_PyUnicode_DecodeUTF16LE(const char *s, Py_ssize_t size, const char *errors) {
    int byteorder = -1;
    return PyUnicode_DecodeUTF16(s, size, errors, &byteorder);
}
static CYTHON_INLINE PyObject *__Pyx_PyUnicode_DecodeUTF16BE(const char *s, Py_ssize_t size, const char *errors) {
    int byteorder = 1;
    return PyUnicode_DecodeUTF16(s, size, errors, &byteorder);
}

/* decode_c_string.proto */
static CYTHON_INLINE PyObject* __Pyx_decode_c_string(
         const char* cstring, Py_ssize_t start, Py_ssize_t stop,
         const char* encoding, const char* errors,
         PyObject* (*decode_func)(const char *s, Py_ssize_t size, const char *errors));

/* GetAttr3.proto */
static CYTHON_INLINE PyObject *__Pyx_GetAttr3(PyObject *, PyObject *, PyObject *);

/* SwapException.proto */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_ExceptionSwap(type, value, tb)  __Pyx__ExceptionSwap(__pyx_tstate, type, value, tb)
static CYTHON_INLINE void __Pyx__ExceptionSwap(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
#else
static CYTHON_INLINE void __Pyx_ExceptionSwap(PyObject **type, PyObject **value, PyObject **tb);
#endif

/* FastTypeChecks.proto */
#if CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_TypeCheck(obj, type) __Pyx_IsSubtype(Py_TYPE(obj), (PyTypeObject *)type)
static CYTHON_INLINE int __Pyx_IsSubtype(PyTypeObject *a, PyTypeObject *b);
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches(PyObject *err, PyObject *type);
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *type1, PyObject *type2);
#else
#define __Pyx_TypeCheck(obj, type) PyObject_TypeCheck(obj, (PyTypeObject *)type)
#define __Pyx_PyErr_GivenExceptionMatches(err, type) PyErr_GivenExceptionMatches(err, type)
#define __Pyx_PyErr_GivenExceptionMatches2(err, type1, type2) (PyErr_GivenExceptionMatches(err, type1) || PyErr_GivenExceptionMatches(err, type2))
#endif
#define __Pyx_PyException_Check(obj) __Pyx_TypeCheck(obj, PyExc_Exception)

static CYTHON_UNUSED int __pyx_memoryview_getbuffer(PyObject *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /*proto*/
/* ListExtend.proto */
static CYTHON_INLINE int __Pyx_PyList_Extend(PyObject* L, PyObject* v) {
#if CYTHON_COMPILING_IN_CPYTHON
    PyObject* none = _PyList_Extend((PyListObject*)L, v);
    if (unlikely(!none))
        return -1;
    Py_DECREF(none);
    return 0;
#else
    return PyList_SetSlice(L, PY_SSIZE_T_MAX, PY_SSIZE_T_MAX, v);
#endif
}

/* None.proto */
static CYTHON_INLINE long __Pyx_div_long(long, long);

/* HasAttr.proto */
static CYTHON_INLINE int __Pyx_HasAttr(PyObject *, PyObject *);

/* PyObject_GenericGetAttrNoDict.proto */
#if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
static CYTHON_INLINE PyObject* __Pyx_PyObject_GenericGetAttrNoDict(PyObject* obj, PyObject* attr_name);
#else
#define __Pyx_PyObject_GenericGetAttrNoDict PyObject_GenericGetAttr
#endif

/* PyObject_GenericGetAttr.proto */
#if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
static PyObject* __Pyx_PyObject_GenericGetAttr(PyObject* obj, PyObject* attr_name);
#else
#define __Pyx_PyObject_GenericGetAttr PyObject_GenericGetAttr
#endif

/* SetVTable.proto */
static int __Pyx_SetVtable(PyObject *dict, void *vtable);

/* SetupReduce.proto */
static int __Pyx_setup_reduce(PyObject* type_obj);

/* TypeImport.proto */
#ifndef __PYX_HAVE_RT_ImportType_proto
#define __PYX_HAVE_RT_ImportType_proto
enum __Pyx_ImportType_CheckSize {
   __Pyx_ImportType_CheckSize_Error = 0,
   __Pyx_ImportType_CheckSize_Warn = 1,
   __Pyx_ImportType_CheckSize_Ignore = 2
};
static PyTypeObject *__Pyx_ImportType(PyObject* module, const char *module_name, const char *class_name, size_t size, enum __Pyx_ImportType_CheckSize check_size);
#endif

/* GetVTable.proto */
static void* __Pyx_GetVtable(PyObject *dict);

/* PyFloatBinop.proto */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyFloat_AddCObj(PyObject *op1, PyObject *op2, double floatval, int inplace, int zerodivision_check);
#else
#define __Pyx_PyFloat_AddCObj(op1, op2, floatval, inplace, zerodivision_check)\
    (inplace ? PyNumber_InPlaceAdd(op1, op2) : PyNumber_Add(op1, op2))
#endif

/* CalculateMetaclass.proto */
static PyObject *__Pyx_CalculateMetaclass(PyTypeObject *metaclass, PyObject *bases);

/* FetchCommonType.proto */
static PyTypeObject* __Pyx_FetchCommonType(PyTypeObject* type);

/* CythonFunction.proto */
#define __Pyx_CyFunction_USED 1
#define __Pyx_CYFUNCTION_STATICMETHOD  0x01
#define __Pyx_CYFUNCTION_CLASSMETHOD   0x02
#define __Pyx_CYFUNCTION_CCLASS        0x04
#define __Pyx_CyFunction_GetClosure(f)\
    (((__pyx_CyFunctionObject *) (f))->func_closure)
#define __Pyx_CyFunction_GetClassObj(f)\
    (((__pyx_CyFunctionObject *) (f))->func_classobj)
#define __Pyx_CyFunction_Defaults(type, f)\
    ((type *)(((__pyx_CyFunctionObject *) (f))->defaults))
#define __Pyx_CyFunction_SetDefaultsGetter(f, g)\
    ((__pyx_CyFunctionObject *) (f))->defaults_getter = (g)
typedef struct {
    PyCFunctionObject func;
#if PY_VERSION_HEX < 0x030500A0
    PyObject *func_weakreflist;
#endif
    PyObject *func_dict;
    PyObject *func_name;
    PyObject *func_qualname;
    PyObject *func_doc;
    PyObject *func_globals;
    PyObject *func_code;
    PyObject *func_closure;
    PyObject *func_classobj;
    void *defaults;
    int defaults_pyobjects;
    int flags;
    PyObject *defaults_tuple;
    PyObject *defaults_kwdict;
    PyObject *(*defaults_getter)(PyObject *);
    PyObject *func_annotations;
} __pyx_CyFunctionObject;
static PyTypeObject *__pyx_CyFunctionType = 0;
#define __Pyx_CyFunction_Check(obj)  (__Pyx_TypeCheck(obj, __pyx_CyFunctionType))
#define __Pyx_CyFunction_NewEx(ml, flags, qualname, self, module, globals, code)\
    __Pyx_CyFunction_New(__pyx_CyFunctionType, ml, flags, qualname, self, module, globals, code)
static PyObject *__Pyx_CyFunction_New(PyTypeObject *, PyMethodDef *ml,
                                      int flags, PyObject* qualname,
                                      PyObject *self,
                                      PyObject *module, PyObject *globals,
                                      PyObject* code);
static CYTHON_INLINE void *__Pyx_CyFunction_InitDefaults(PyObject *m,
                                                         size_t size,
                                                         int pyobjects);
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsTuple(PyObject *m,
                                                            PyObject *tuple);
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsKwDict(PyObject *m,
                                                             PyObject *dict);
static CYTHON_INLINE void __Pyx_CyFunction_SetAnnotationsDict(PyObject *m,
                                                              PyObject *dict);
static int __pyx_CyFunction_init(void);

/* SetNameInClass.proto */
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030500A1
#define __Pyx_SetNameInClass(ns, name, value)\
    (likely(PyDict_CheckExact(ns)) ? _PyDict_SetItem_KnownHash(ns, name, value, ((PyASCIIObject *) name)->hash) : PyObject_SetItem(ns, name, value))
#elif CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_SetNameInClass(ns, name, value)\
    (likely(PyDict_CheckExact(ns)) ? PyDict_SetItem(ns, name, value) : PyObject_SetItem(ns, name, value))
#else
#define __Pyx_SetNameInClass(ns, name, value)  PyObject_SetItem(ns, name, value)
#endif

/* Py3ClassCreate.proto */
static PyObject *__Pyx_Py3MetaclassPrepare(PyObject *metaclass, PyObject *bases, PyObject *name, PyObject *qualname,
                                           PyObject *mkw, PyObject *modname, PyObject *doc);
static PyObject *__Pyx_Py3ClassCreate(PyObject *metaclass, PyObject *name, PyObject *bases, PyObject *dict,
                                      PyObject *mkw, int calculate_metaclass, int allow_py2_metaclass);

/* FusedFunction.proto */
typedef struct {
    __pyx_CyFunctionObject func;
    PyObject *__signatures__;
    PyObject *type;
    PyObject *self;
} __pyx_FusedFunctionObject;
#define __pyx_FusedFunction_NewEx(ml, flags, qualname, self, module, globals, code)\
        __pyx_FusedFunction_New(__pyx_FusedFunctionType, ml, flags, qualname, self, module, globals, code)
static PyObject *__pyx_FusedFunction_New(PyTypeObject *type,
                                         PyMethodDef *ml, int flags,
                                         PyObject *qualname, PyObject *self,
                                         PyObject *module, PyObject *globals,
                                         PyObject *code);
static int __pyx_FusedFunction_clear(__pyx_FusedFunctionObject *self);
static PyTypeObject *__pyx_FusedFunctionType = NULL;
static int __pyx_FusedFunction_init(void);
#define __Pyx_FusedFunction_USED

/* CLineInTraceback.proto */
#ifdef CYTHON_CLINE_IN_TRACEBACK
#define __Pyx_CLineForTraceback(tstate, c_line)  (((CYTHON_CLINE_IN_TRACEBACK)) ? c_line : 0)
#else
static int __Pyx_CLineForTraceback(PyThreadState *tstate, int c_line);
#endif

/* CodeObjectCache.proto */
typedef struct {
    PyCodeObject* code_object;
    int code_line;
} __Pyx_CodeObjectCacheEntry;
struct __Pyx_CodeObjectCache {
    int count;
    int max_count;
    __Pyx_CodeObjectCacheEntry* entries;
};
static struct __Pyx_CodeObjectCache __pyx_code_cache = {0,0,NULL};
static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line);
static PyCodeObject *__pyx_find_code_object(int code_line);
static void __pyx_insert_code_object(int code_line, PyCodeObject* code_object);

/* AddTraceback.proto */
static void __Pyx_AddTraceback(const char *funcname, int c_line,
                               int py_line, const char *filename);

#if PY_MAJOR_VERSION < 3
    static int __Pyx_GetBuffer(PyObject *obj, Py_buffer *view, int flags);
    static void __Pyx_ReleaseBuffer(Py_buffer *view);
#else
    #define __Pyx_GetBuffer PyObject_GetBuffer
    #define __Pyx_ReleaseBuffer PyBuffer_Release
#endif


/* BufferStructDeclare.proto */
typedef struct {
  Py_ssize_t shape, strides, suboffsets;
} __Pyx_Buf_DimInfo;
typedef struct {
  size_t refcount;
  Py_buffer pybuffer;
} __Pyx_Buffer;
typedef struct {
  __Pyx_Buffer *rcbuffer;
  char *data;
  __Pyx_Buf_DimInfo diminfo[8];
} __Pyx_LocalBuf_ND;

/* MemviewSliceIsContig.proto */
static int __pyx_memviewslice_is_contig(const __Pyx_memviewslice mvs, char order, int ndim);

/* OverlappingSlices.proto */
static int __pyx_slices_overlap(__Pyx_memviewslice *slice1,
                                __Pyx_memviewslice *slice2,
                                int ndim, size_t itemsize);

/* Capsule.proto */
static CYTHON_INLINE PyObject *__pyx_capsule_create(void *p, const char *sig);

/* TypeInfoCompare.proto */
static int __pyx_typeinfo_cmp(__Pyx_TypeInfo *a, __Pyx_TypeInfo *b);

/* MemviewSliceValidateAndInit.proto */
static int __Pyx_ValidateAndInit_memviewslice(
                int *axes_specs,
                int c_or_f_flag,
                int buf_flags,
                int ndim,
                __Pyx_TypeInfo *dtype,
                __Pyx_BufFmt_StackElem stack[],
                __Pyx_memviewslice *memviewslice,
                PyObject *original_obj);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_d_d_dc_float(PyObject *, int writable_flag);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_d_d_dc_double(PyObject *, int writable_flag);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dc_nn___pyx_t_5numpy_float32_t(PyObject *, int writable_flag);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dc_nn___pyx_t_5numpy_int_t(PyObject *, int writable_flag);

/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_dc_nn___pyx_t_5numpy_int8_t(PyObject *, int writable_flag);

/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_npy_int8(npy_int8 value);

/* MemviewDtypeToObject.proto */
static CYTHON_INLINE PyObject *__pyx_memview_get_nn___pyx_t_5numpy_int8_t(const char *itemp);
static CYTHON_INLINE int __pyx_memview_set_nn___pyx_t_5numpy_int8_t(const char *itemp, PyObject *obj);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_d_d_dc_nn___pyx_t_5numpy_float32_t(PyObject *, int writable_flag);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsds_nn___pyx_t_5numpy_int8_t(PyObject *, int writable_flag);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsdsdsds_nn___pyx_t_5numpy_float32_t(PyObject *, int writable_flag);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_dc_nn_struct____pyx_t_5pyFAI_3ext_11_distortion_lut_t(PyObject *, int writable_flag);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsds_nn_struct____pyx_t_5pyFAI_3ext_11_distortion_lut_t(PyObject *, int writable_flag);

/* MemviewDtypeToObject.proto */
static CYTHON_INLINE PyObject *__pyx_memview_get_nn___pyx_t_5numpy_float32_t(const char *itemp);
static CYTHON_INLINE int __pyx_memview_set_nn___pyx_t_5numpy_float32_t(const char *itemp, PyObject *obj);

/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_npy_long(npy_long value);

/* MemviewDtypeToObject.proto */
static CYTHON_INLINE PyObject *__pyx_memview_get_nn___pyx_t_5numpy_int_t(const char *itemp);
static CYTHON_INLINE int __pyx_memview_set_nn___pyx_t_5numpy_int_t(const char *itemp, PyObject *obj);

/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_npy_int32(npy_int32 value);

/* MemviewDtypeToObject.proto */
static CYTHON_INLINE PyObject *__pyx_memview_get_nn___pyx_t_5pyFAI_3ext_11_distortion_data_t(const char *itemp);
static CYTHON_INLINE int __pyx_memview_set_nn___pyx_t_5pyFAI_3ext_11_distortion_data_t(const char *itemp, PyObject *obj);

/* MemviewDtypeToObject.proto */
static CYTHON_INLINE PyObject *__pyx_memview_get_nn___pyx_t_5pyFAI_3ext_11_distortion_acc_t(const char *itemp);
static CYTHON_INLINE int __pyx_memview_set_nn___pyx_t_5pyFAI_3ext_11_distortion_acc_t(const char *itemp, PyObject *obj);

/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value);

/* MemviewDtypeToObject.proto */
static CYTHON_INLINE PyObject *__pyx_memview_get_nn___pyx_t_5numpy_int32_t(const char *itemp);
static CYTHON_INLINE int __pyx_memview_set_nn___pyx_t_5numpy_int32_t(const char *itemp, PyObject *obj);

struct __pyx_t_5pyFAI_3ext_11_distortion_lut_t;
static PyObject* __pyx_convert__to_py_struct____pyx_t_5pyFAI_3ext_11_distortion_lut_t(struct __pyx_t_5pyFAI_3ext_11_distortion_lut_t s);
/* MemviewDtypeToObject.proto */
static CYTHON_INLINE PyObject *__pyx_memview_get_nn_struct____pyx_t_5pyFAI_3ext_11_distortion_lut_t(const char *itemp);
static CYTHON_INLINE int __pyx_memview_set_nn_struct____pyx_t_5pyFAI_3ext_11_distortion_lut_t(const char *itemp, PyObject *obj);

/* MemviewDtypeToObject.proto */
static CYTHON_INLINE PyObject *__pyx_memview_get_int(const char *itemp);
static CYTHON_INLINE int __pyx_memview_set_int(const char *itemp, PyObject *obj);

/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_Py_intptr_t(Py_intptr_t value);

/* RealImag.proto */
#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    #define __Pyx_CREAL(z) ((z).real())
    #define __Pyx_CIMAG(z) ((z).imag())
  #else
    #define __Pyx_CREAL(z) (__real__(z))
    #define __Pyx_CIMAG(z) (__imag__(z))
  #endif
#else
    #define __Pyx_CREAL(z) ((z).real)
    #define __Pyx_CIMAG(z) ((z).imag)
#endif
#if defined(__cplusplus) && CYTHON_CCOMPLEX\
        && (defined(_WIN32) || defined(__clang__) || (defined(__GNUC__) && (__GNUC__ >= 5 || __GNUC__ == 4 && __GNUC_MINOR__ >= 4 )) || __cplusplus >= 201103)
    #define __Pyx_SET_CREAL(z,x) ((z).real(x))
    #define __Pyx_SET_CIMAG(z,y) ((z).imag(y))
#else
    #define __Pyx_SET_CREAL(z,x) __Pyx_CREAL(z) = (x)
    #define __Pyx_SET_CIMAG(z,y) __Pyx_CIMAG(z) = (y)
#endif

/* Arithmetic.proto */
#if CYTHON_CCOMPLEX
    #define __Pyx_c_eq_float(a, b)   ((a)==(b))
    #define __Pyx_c_sum_float(a, b)  ((a)+(b))
    #define __Pyx_c_diff_float(a, b) ((a)-(b))
    #define __Pyx_c_prod_float(a, b) ((a)*(b))
    #define __Pyx_c_quot_float(a, b) ((a)/(b))
    #define __Pyx_c_neg_float(a)     (-(a))
  #ifdef __cplusplus
    #define __Pyx_c_is_zero_float(z) ((z)==(float)0)
    #define __Pyx_c_conj_float(z)    (::std::conj(z))
    #if 1
        #define __Pyx_c_abs_float(z)     (::std::abs(z))
        #define __Pyx_c_pow_float(a, b)  (::std::pow(a, b))
    #endif
  #else
    #define __Pyx_c_is_zero_float(z) ((z)==0)
    #define __Pyx_c_conj_float(z)    (conjf(z))
    #if 1
        #define __Pyx_c_abs_float(z)     (cabsf(z))
        #define __Pyx_c_pow_float(a, b)  (cpowf(a, b))
    #endif
 #endif
#else
    static CYTHON_INLINE int __Pyx_c_eq_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_sum_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_diff_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_prod_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_neg_float(__pyx_t_float_complex);
    static CYTHON_INLINE int __Pyx_c_is_zero_float(__pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conj_float(__pyx_t_float_complex);
    #if 1
        static CYTHON_INLINE float __Pyx_c_abs_float(__pyx_t_float_complex);
        static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_pow_float(__pyx_t_float_complex, __pyx_t_float_complex);
    #endif
#endif

/* Arithmetic.proto */
#if CYTHON_CCOMPLEX
    #define __Pyx_c_eq_double(a, b)   ((a)==(b))
    #define __Pyx_c_sum_double(a, b)  ((a)+(b))
    #define __Pyx_c_diff_double(a, b) ((a)-(b))
    #define __Pyx_c_prod_double(a, b) ((a)*(b))
    #define __Pyx_c_quot_double(a, b) ((a)/(b))
    #define __Pyx_c_neg_double(a)     (-(a))
  #ifdef __cplusplus
    #define __Pyx_c_is_zero_double(z) ((z)==(double)0)
    #define __Pyx_c_conj_double(z)    (::std::conj(z))
    #if 1
        #define __Pyx_c_abs_double(z)     (::std::abs(z))
        #define __Pyx_c_pow_double(a, b)  (::std::pow(a, b))
    #endif
  #else
    #define __Pyx_c_is_zero_double(z) ((z)==0)
    #define __Pyx_c_conj_double(z)    (conj(z))
    #if 1
        #define __Pyx_c_abs_double(z)     (cabs(z))
        #define __Pyx_c_pow_double(a, b)  (cpow(a, b))
    #endif
 #endif
#else
    static CYTHON_INLINE int __Pyx_c_eq_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg_double(__pyx_t_double_complex);
    static CYTHON_INLINE int __Pyx_c_is_zero_double(__pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj_double(__pyx_t_double_complex);
    #if 1
        static CYTHON_INLINE double __Pyx_c_abs_double(__pyx_t_double_complex);
        static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow_double(__pyx_t_double_complex, __pyx_t_double_complex);
    #endif
#endif

/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_enum__NPY_TYPES(enum NPY_TYPES value);

/* MemviewSliceCopyTemplate.proto */
static __Pyx_memviewslice
__pyx_memoryview_copy_new_contig(const __Pyx_memviewslice *from_mvs,
                                 const char *mode, int ndim,
                                 size_t sizeof_dtype, int contig_flag,
                                 int dtype_is_object);

/* CIntFromPy.proto */
static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *);

/* CIntFromPy.proto */
static CYTHON_INLINE npy_int8 __Pyx_PyInt_As_npy_int8(PyObject *);

/* CIntFromPy.proto */
static CYTHON_INLINE npy_long __Pyx_PyInt_As_npy_long(PyObject *);

/* CIntFromPy.proto */
static CYTHON_INLINE npy_int32 __Pyx_PyInt_As_npy_int32(PyObject *);

/* CIntFromPy.proto */
static CYTHON_INLINE size_t __Pyx_PyInt_As_size_t(PyObject *);

/* BytesContains.proto */
static CYTHON_INLINE int __Pyx_BytesContains(PyObject* bytes, char character);

/* ImportNumPyArray.proto */
static PyObject *__pyx_numpy_ndarray = NULL;
static PyObject* __Pyx_ImportNumPyArrayTypeIfAvailable(void);

/* CIntFromPy.proto */
static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *);

/* CIntFromPy.proto */
static CYTHON_INLINE char __Pyx_PyInt_As_char(PyObject *);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dc_nn___pyx_t_5pyFAI_3ext_11_distortion_acc_t(PyObject *, int writable_flag);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dc_nn___pyx_t_5pyFAI_3ext_11_distortion_data_t(PyObject *, int writable_flag);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dc_nn___pyx_t_5numpy_int32_t(PyObject *, int writable_flag);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_dc_nn___pyx_t_5numpy_int32_t(PyObject *, int writable_flag);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsds_int(PyObject *, int writable_flag);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_dc_nn___pyx_t_5numpy_float32_t(PyObject *, int writable_flag);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsdsds_nn_struct____pyx_t_5pyFAI_3ext_11_distortion_lut_t(PyObject *, int writable_flag);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dc_int(PyObject *, int writable_flag);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dc_nn___pyx_t_5numpy_int8_t(PyObject *, int writable_flag);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_ds_nn___pyx_t_5numpy_int8_t(PyObject *, int writable_flag);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_dc_int(PyObject *, int writable_flag);

/* CheckBinaryVersion.proto */
static int __Pyx_check_binary_version(void);

/* InitStrings.proto */
static int __Pyx_InitStrings(__Pyx_StringTabEntry *t);

static PyObject *__pyx_array_get_memview(struct __pyx_array_obj *__pyx_v_self); /* proto*/
static char *__pyx_memoryview_get_item_pointer(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_index); /* proto*/
static PyObject *__pyx_memoryview_is_slice(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_obj); /* proto*/
static PyObject *__pyx_memoryview_setitem_slice_assignment(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_dst, PyObject *__pyx_v_src); /* proto*/
static PyObject *__pyx_memoryview_setitem_slice_assign_scalar(struct __pyx_memoryview_obj *__pyx_v_self, struct __pyx_memoryview_obj *__pyx_v_dst, PyObject *__pyx_v_value); /* proto*/
static PyObject *__pyx_memoryview_setitem_indexed(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_index, PyObject *__pyx_v_value); /* proto*/
static PyObject *__pyx_memoryview_convert_item_to_object(struct __pyx_memoryview_obj *__pyx_v_self, char *__pyx_v_itemp); /* proto*/
static PyObject *__pyx_memoryview_assign_item_from_object(struct __pyx_memoryview_obj *__pyx_v_self, char *__pyx_v_itemp, PyObject *__pyx_v_value); /* proto*/
static PyObject *__pyx_memoryviewslice_convert_item_to_object(struct __pyx_memoryviewslice_obj *__pyx_v_self, char *__pyx_v_itemp); /* proto*/
static PyObject *__pyx_memoryviewslice_assign_item_from_object(struct __pyx_memoryviewslice_obj *__pyx_v_self, char *__pyx_v_itemp, PyObject *__pyx_v_value); /* proto*/

/* Module declarations from 'cython.view' */

/* Module declarations from 'cython' */

/* Module declarations from 'pyFAI.ext.isnan' */

/* Module declarations from 'libc.math' */

/* Module declarations from 'cpython.buffer' */

/* Module declarations from 'libc.string' */

/* Module declarations from 'libc.stdio' */

/* Module declarations from '__builtin__' */

/* Module declarations from 'cpython.type' */
static PyTypeObject *__pyx_ptype_7cpython_4type_type = 0;

/* Module declarations from 'cpython' */

/* Module declarations from 'cpython.object' */

/* Module declarations from 'cpython.ref' */

/* Module declarations from 'cpython.mem' */

/* Module declarations from 'numpy' */

/* Module declarations from 'numpy' */
static PyTypeObject *__pyx_ptype_5numpy_dtype = 0;
static PyTypeObject *__pyx_ptype_5numpy_flatiter = 0;
static PyTypeObject *__pyx_ptype_5numpy_broadcast = 0;
static PyTypeObject *__pyx_ptype_5numpy_ndarray = 0;
static PyTypeObject *__pyx_ptype_5numpy_ufunc = 0;
static CYTHON_INLINE char *__pyx_f_5numpy__util_dtypestring(PyArray_Descr *, char *, char *, int *); /*proto*/

/* Module declarations from 'libcpp' */

/* Module declarations from 'libcpp.list' */

/* Module declarations from 'pyFAI.ext.sparse_builder' */
static PyTypeObject *__pyx_ptype_5pyFAI_3ext_14sparse_builder_SparseBuilder = 0;

/* Module declarations from 'pyFAI.ext._distortion' */
static PyTypeObject *__pyx_array_type = 0;
static PyTypeObject *__pyx_MemviewEnum_type = 0;
static PyTypeObject *__pyx_memoryview_type = 0;
static PyTypeObject *__pyx_memoryviewslice_type = 0;
static float __pyx_v_5pyFAI_3ext_11_distortion_pi;
static float __pyx_v_5pyFAI_3ext_11_distortion_piover2;
static float __pyx_v_5pyFAI_3ext_11_distortion_onef;
static float __pyx_v_5pyFAI_3ext_11_distortion_zerof;
static double __pyx_v_5pyFAI_3ext_11_distortion_EPS32;
static int __pyx_v_5pyFAI_3ext_11_distortion_NEED_DECREF;
static PyObject *__pyx_7genexpr__pyx_v_5pyFAI_3ext_11_distortion_i;
static PyObject *generic = 0;
static PyObject *strided = 0;
static PyObject *indirect = 0;
static PyObject *contiguous = 0;
static PyObject *indirect_contiguous = 0;
static int __pyx_memoryview_thread_locks_used;
static PyThread_type_lock __pyx_memoryview_thread_locks[8];
static CYTHON_INLINE float __pyx_f_5pyFAI_3ext_11_distortion_calc_area(float, float, float, float, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE int __pyx_f_5pyFAI_3ext_11_distortion_clip(int, int, int, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE float __pyx_f_5pyFAI_3ext_11_distortion__floor_min4(float, float, float, float); /*proto*/
static CYTHON_INLINE float __pyx_f_5pyFAI_3ext_11_distortion__ceil_max4(float, float, float, float); /*proto*/
static CYTHON_INLINE void __pyx_f_5pyFAI_3ext_11_distortion_integrate(__Pyx_memviewslice, float, float, float, float); /*proto*/
static struct __pyx_t_5pyFAI_3ext_11_distortion_lut_t __pyx_convert__from_py_struct____pyx_t_5pyFAI_3ext_11_distortion_lut_t(PyObject *); /*proto*/
static struct __pyx_array_obj *__pyx_array_new(PyObject *, Py_ssize_t, char *, char *, char *); /*proto*/
static void *__pyx_align_pointer(void *, size_t); /*proto*/
static PyObject *__pyx_memoryview_new(PyObject *, int, int, __Pyx_TypeInfo *); /*proto*/
static CYTHON_INLINE int __pyx_memoryview_check(PyObject *); /*proto*/
static PyObject *_unellipsify(PyObject *, int); /*proto*/
static PyObject *assert_direct_dimensions(Py_ssize_t *, int); /*proto*/
static struct __pyx_memoryview_obj *__pyx_memview_slice(struct __pyx_memoryview_obj *, PyObject *); /*proto*/
static int __pyx_memoryview_slice_memviewslice(__Pyx_memviewslice *, Py_ssize_t, Py_ssize_t, Py_ssize_t, int, int, int *, Py_ssize_t, Py_ssize_t, Py_ssize_t, int, int, int, int); /*proto*/
static char *__pyx_pybuffer_index(Py_buffer *, char *, Py_ssize_t, Py_ssize_t); /*proto*/
static int __pyx_memslice_transpose(__Pyx_memviewslice *); /*proto*/
static PyObject *__pyx_memoryview_fromslice(__Pyx_memviewslice, int, PyObject *(*)(char *), int (*)(char *, PyObject *), int); /*proto*/
static __Pyx_memviewslice *__pyx_memoryview_get_slice_from_memoryview(struct __pyx_memoryview_obj *, __Pyx_memviewslice *); /*proto*/
static void __pyx_memoryview_slice_copy(struct __pyx_memoryview_obj *, __Pyx_memviewslice *); /*proto*/
static PyObject *__pyx_memoryview_copy_object(struct __pyx_memoryview_obj *); /*proto*/
static PyObject *__pyx_memoryview_copy_object_from_slice(struct __pyx_memoryview_obj *, __Pyx_memviewslice *); /*proto*/
static Py_ssize_t abs_py_ssize_t(Py_ssize_t); /*proto*/
static char __pyx_get_best_slice_order(__Pyx_memviewslice *, int); /*proto*/
static void _copy_strided_to_strided(char *, Py_ssize_t *, char *, Py_ssize_t *, Py_ssize_t *, Py_ssize_t *, int, size_t); /*proto*/
static void copy_strided_to_strided(__Pyx_memviewslice *, __Pyx_memviewslice *, int, size_t); /*proto*/
static Py_ssize_t __pyx_memoryview_slice_get_size(__Pyx_memviewslice *, int); /*proto*/
static Py_ssize_t __pyx_fill_contig_strides_array(Py_ssize_t *, Py_ssize_t *, Py_ssize_t, int, char); /*proto*/
static void *__pyx_memoryview_copy_data_to_temp(__Pyx_memviewslice *, __Pyx_memviewslice *, char, int); /*proto*/
static int __pyx_memoryview_err_extents(int, Py_ssize_t, Py_ssize_t); /*proto*/
static int __pyx_memoryview_err_dim(PyObject *, char *, int); /*proto*/
static int __pyx_memoryview_err(PyObject *, char *); /*proto*/
static int __pyx_memoryview_copy_contents(__Pyx_memviewslice, __Pyx_memviewslice, int, int, int); /*proto*/
static void __pyx_memoryview_broadcast_leading(__Pyx_memviewslice *, int, int); /*proto*/
static void __pyx_memoryview_refcount_copying(__Pyx_memviewslice *, int, int, int); /*proto*/
static void __pyx_memoryview_refcount_objects_in_slice_with_gil(char *, Py_ssize_t *, Py_ssize_t *, int, int); /*proto*/
static void __pyx_memoryview_refcount_objects_in_slice(char *, Py_ssize_t *, Py_ssize_t *, int, int); /*proto*/
static void __pyx_memoryview_slice_assign_scalar(__Pyx_memviewslice *, int, size_t, void *, int); /*proto*/
static void __pyx_memoryview__slice_assign_scalar(char *, Py_ssize_t *, Py_ssize_t *, int, size_t, void *); /*proto*/
static PyObject *__pyx_unpickle_Enum__set_state(struct __pyx_MemviewEnum_obj *, PyObject *); /*proto*/
static __Pyx_TypeInfo __Pyx_TypeInfo_nn___pyx_t_5numpy_float64_t = { "float64_t", NULL, sizeof(__pyx_t_5numpy_float64_t), { 0 }, 0, 'R', 0, 0 };
static __Pyx_TypeInfo __Pyx_TypeInfo_nn___pyx_t_5numpy_float32_t = { "float32_t", NULL, sizeof(__pyx_t_5numpy_float32_t), { 0 }, 0, 'R', 0, 0 };
static __Pyx_TypeInfo __Pyx_TypeInfo_nn___pyx_t_5numpy_int32_t = { "int32_t", NULL, sizeof(__pyx_t_5numpy_int32_t), { 0 }, 0, IS_UNSIGNED(__pyx_t_5numpy_int32_t) ? 'U' : 'I', IS_UNSIGNED(__pyx_t_5numpy_int32_t), 0 };
static __Pyx_StructField __Pyx_StructFields_nn_struct____pyx_t_5pyFAI_3ext_11_distortion_lut_t[] = {
  {&__Pyx_TypeInfo_nn___pyx_t_5numpy_int32_t, "idx", offsetof(struct __pyx_t_5pyFAI_3ext_11_distortion_lut_t, idx)},
  {&__Pyx_TypeInfo_nn___pyx_t_5numpy_float32_t, "coef", offsetof(struct __pyx_t_5pyFAI_3ext_11_distortion_lut_t, coef)},
  {NULL, NULL, 0}
};
static __Pyx_TypeInfo __Pyx_TypeInfo_nn_struct____pyx_t_5pyFAI_3ext_11_distortion_lut_t = { "lut_t", __Pyx_StructFields_nn_struct____pyx_t_5pyFAI_3ext_11_distortion_lut_t, sizeof(struct __pyx_t_5pyFAI_3ext_11_distortion_lut_t), { 0 }, 0, 'S', 0, 0 };
static __Pyx_TypeInfo __Pyx_TypeInfo_float = { "float", NULL, sizeof(float), { 0 }, 0, 'R', 0, 0 };
static __Pyx_TypeInfo __Pyx_TypeInfo_double = { "double", NULL, sizeof(double), { 0 }, 0, 'R', 0, 0 };
static __Pyx_TypeInfo __Pyx_TypeInfo_nn___pyx_t_5numpy_int_t = { "int_t", NULL, sizeof(__pyx_t_5numpy_int_t), { 0 }, 0, IS_UNSIGNED(__pyx_t_5numpy_int_t) ? 'U' : 'I', IS_UNSIGNED(__pyx_t_5numpy_int_t), 0 };
static __Pyx_TypeInfo __Pyx_TypeInfo_nn___pyx_t_5numpy_int8_t = { "int8_t", NULL, sizeof(__pyx_t_5numpy_int8_t), { 0 }, 0, IS_UNSIGNED(__pyx_t_5numpy_int8_t) ? 'U' : 'I', IS_UNSIGNED(__pyx_t_5numpy_int8_t), 0 };
static __Pyx_TypeInfo __Pyx_TypeInfo_nn___pyx_t_5pyFAI_3ext_11_distortion_acc_t = { "acc_t", NULL, sizeof(__pyx_t_5pyFAI_3ext_11_distortion_acc_t), { 0 }, 0, 'R', 0, 0 };
static __Pyx_TypeInfo __Pyx_TypeInfo_nn___pyx_t_5pyFAI_3ext_11_distortion_data_t = { "data_t", NULL, sizeof(__pyx_t_5pyFAI_3ext_11_distortion_data_t), { 0 }, 0, 'R', 0, 0 };
static __Pyx_TypeInfo __Pyx_TypeInfo_int = { "int", NULL, sizeof(int), { 0 }, 0, IS_UNSIGNED(int) ? 'U' : 'I', IS_UNSIGNED(int), 0 };
#define __Pyx_MODULE_NAME "pyFAI.ext._distortion"
extern int __pyx_module_is_main_pyFAI__ext___distortion;
int __pyx_module_is_main_pyFAI__ext___distortion = 0;

/* Implementation of 'pyFAI.ext._distortion' */
static PyObject *__pyx_builtin_object;
static PyObject *__pyx_builtin_range;
static PyObject *__pyx_builtin_TypeError;
static PyObject *__pyx_builtin_RuntimeError;
static PyObject *__pyx_builtin_print;
static PyObject *__pyx_builtin_NotImplementedError;
static PyObject *__pyx_builtin_ValueError;
static PyObject *__pyx_builtin_ImportError;
static PyObject *__pyx_builtin_KeyError;
static PyObject *__pyx_builtin_MemoryError;
static PyObject *__pyx_builtin_enumerate;
static PyObject *__pyx_builtin_Ellipsis;
static PyObject *__pyx_builtin_id;
static PyObject *__pyx_builtin_IndexError;
static const char __pyx_k_O[] = "O";
static const char __pyx_k_c[] = "c";
static const char __pyx_k_i[] = "i";
static const char __pyx_k_j[] = "j";
static const char __pyx_k_k[] = "k";
static const char __pyx_k_l[] = "l";
static const char __pyx_k_p[] = "p";
static const char __pyx_k_s[] = "s";
static const char __pyx_k_t[] = "t";
static const char __pyx_k_y[] = "y";
static const char __pyx_k_A0[] = " A0=";
static const char __pyx_k_A1[] = "; A1=";
static const char __pyx_k_B0[] = "; B0=";
static const char __pyx_k_B1[] = "; B1=";
static const char __pyx_k_C0[] = "; C0=";
static const char __pyx_k_C1[] = "; C1=";
static const char __pyx_k_D0[] = "; D0=";
static const char __pyx_k_D1[] = "; D1=";
static const char __pyx_k_I1[] = "I1";
static const char __pyx_k_I2[] = "I2";
static const char __pyx_k__2[] = "()";
static const char __pyx_k__3[] = "|";
static const char __pyx_k_d1[] = "d1";
static const char __pyx_k_d2[] = "d2";
static const char __pyx_k_i0[] = "i0";
static const char __pyx_k_i1[] = "i1";
static const char __pyx_k_id[] = "id";
static const char __pyx_k_if[] = "if";
static const char __pyx_k_ml[] = "ml";
static const char __pyx_k_ms[] = "ms";
static const char __pyx_k_nl[] = "nl";
static const char __pyx_k_ns[] = "ns";
static const char __pyx_k_os[] = "os";
static const char __pyx_k_p0[] = "p0";
static const char __pyx_k_p1[] = "p1";
static const char __pyx_k_1_5[] = "1.5";
static const char __pyx_k_BIG[] = "BIG";
static const char __pyx_k_LUT[] = "LUT";
static const char __pyx_k_MIT[] = "MIT";
static const char __pyx_k_NaN[] = "NaN";
static const char __pyx_k_Nan[] = "Nan";
static const char __pyx_k__10[] = ", ";
static const char __pyx_k__11[] = ")";
static const char __pyx_k__18[] = "";
static const char __pyx_k__71[] = ".";
static const char __pyx_k_cAB[] = "cAB";
static const char __pyx_k_cBC[] = "cBC";
static const char __pyx_k_cCD[] = "cCD";
static const char __pyx_k_cDA[] = "cDA";
static const char __pyx_k_csr[] = "_csr";
static const char __pyx_k_doc[] = "__doc__";
static const char __pyx_k_eps[] = "eps";
static const char __pyx_k_err[] = "err";
static const char __pyx_k_idx[] = "idx";
static const char __pyx_k_lin[] = "lin";
static const char __pyx_k_lut[] = "lut";
static const char __pyx_k_max[] = "max";
static const char __pyx_k_min[] = "min";
static const char __pyx_k_new[] = "__new__";
static const char __pyx_k_obj[] = "obj";
static const char __pyx_k_out[] = "out";
static const char __pyx_k_pAB[] = "pAB";
static const char __pyx_k_pBC[] = "pBC";
static const char __pyx_k_pCD[] = "pCD";
static const char __pyx_k_pDA[] = "pDA";
static const char __pyx_k_pos[] = "pos";
static const char __pyx_k_res[] = "res";
static const char __pyx_k_sem[] = "_sem";
static const char __pyx_k_six[] = "six";
static const char __pyx_k_sum[] = "sum";
static const char __pyx_k_sys[] = "sys";
static const char __pyx_k_tmp[] = "tmp";
static const char __pyx_k_tot[] = "tot";
static const char __pyx_k_val[] = "val";
static const char __pyx_k_A0_2[] = "A0";
static const char __pyx_k_A1_2[] = "A1";
static const char __pyx_k_B0_2[] = "B0";
static const char __pyx_k_B1_2[] = "B1";
static const char __pyx_k_C0_2[] = "C0";
static const char __pyx_k_C1_2[] = "C1";
static const char __pyx_k_D0_2[] = "D0";
static const char __pyx_k_D1_2[] = "D1";
static const char __pyx_k_area[] = "area";
static const char __pyx_k_args[] = "args";
static const char __pyx_k_axis[] = "axis";
static const char __pyx_k_base[] = "base";
static const char __pyx_k_bins[] = "bins";
static const char __pyx_k_ceil[] = "ceil";
static const char __pyx_k_clip[] = "clip";
static const char __pyx_k_coef[] = "coef";
static const char __pyx_k_copy[] = "copy";
static const char __pyx_k_core[] = "core";
static const char __pyx_k_dark[] = "dark";
static const char __pyx_k_data[] = "data";
static const char __pyx_k_date[] = "__date__";
static const char __pyx_k_dict[] = "__dict__";
static const char __pyx_k_dim0[] = "dim0";
static const char __pyx_k_dim1[] = "dim1";
static const char __pyx_k_exit[] = "__exit__";
static const char __pyx_k_flat[] = "flat";
static const char __pyx_k_info[] = "info";
static const char __pyx_k_init[] = "__init__";
static const char __pyx_k_int8[] = "int8";
static const char __pyx_k_join[] = "join";
static const char __pyx_k_kind[] = "kind";
static const char __pyx_k_lerr[] = "lerr";
static const char __pyx_k_lout[] = "lout";
static const char __pyx_k_main[] = "__main__";
static const char __pyx_k_mask[] = "mask";
static const char __pyx_k_max0[] = "max0";
static const char __pyx_k_max1[] = "max1";
static const char __pyx_k_min0[] = "min0";
static const char __pyx_k_min1[] = "min1";
static const char __pyx_k_mode[] = "mode";
static const char __pyx_k_name[] = "name";
static const char __pyx_k_ndim[] = "ndim";
static const char __pyx_k_norm[] = "norm";
static const char __pyx_k_pack[] = "pack";
static const char __pyx_k_prod[] = "prod";
static const char __pyx_k_prop[] = "prop";
static const char __pyx_k_repr[] = "__repr__";
static const char __pyx_k_self[] = "self";
static const char __pyx_k_size[] = "size";
static const char __pyx_k_step[] = "step";
static const char __pyx_k_stop[] = "stop";
static const char __pyx_k_test[] = "__test__";
static const char __pyx_k_time[] = "time";
static const char __pyx_k_view[] = "view";
static const char __pyx_k_ASCII[] = "ASCII";
static const char __pyx_k_acc_d[] = "acc_d";
static const char __pyx_k_array[] = "array";
static const char __pyx_k_bins0[] = "bins0";
static const char __pyx_k_bins1[] = "bins1";
static const char __pyx_k_ccoef[] = "ccoef";
static const char __pyx_k_cdark[] = "cdark";
static const char __pyx_k_cdata[] = "cdata";
static const char __pyx_k_cflat[] = "cflat";
static const char __pyx_k_class[] = "__class__";
static const char __pyx_k_cmask[] = "cmask";
static const char __pyx_k_count[] = "count";
static const char __pyx_k_csr_2[] = "csr";
static const char __pyx_k_dtype[] = "dtype";
static const char __pyx_k_dummy[] = "dummy";
static const char __pyx_k_empty[] = "empty";
static const char __pyx_k_enter[] = "__enter__";
static const char __pyx_k_error[] = "error";
static const char __pyx_k_fabio[] = "fabio";
static const char __pyx_k_finfo[] = "finfo";
static const char __pyx_k_flags[] = "flags";
static const char __pyx_k_float[] = "float";
static const char __pyx_k_floor[] = "floor";
static const char __pyx_k_image[] = "image";
static const char __pyx_k_int32[] = "int32";
static const char __pyx_k_kahan[] = "kahan";
static const char __pyx_k_lmask[] = "lmask";
static const char __pyx_k_lower[] = "lower";
static const char __pyx_k_lprop[] = "lprop";
static const char __pyx_k_lut_d[] = "lut_d";
static const char __pyx_k_major[] = "major";
static const char __pyx_k_nbins[] = "nbins";
static const char __pyx_k_nchan[] = "nchan";
static const char __pyx_k_numpy[] = "numpy";
static const char __pyx_k_print[] = "print";
static const char __pyx_k_range[] = "range";
static const char __pyx_k_ravel[] = "ravel";
static const char __pyx_k_shape[] = "shape";
static const char __pyx_k_slope[] = "slope";
static const char __pyx_k_split[] = "split";
static const char __pyx_k_start[] = "start";
static const char __pyx_k_strip[] = "strip";
static const char __pyx_k_tdata[] = "tdata";
static const char __pyx_k_total[] = "total";
static const char __pyx_k_types[] = "types";
static const char __pyx_k_utils[] = "utils";
static const char __pyx_k_value[] = "value";
static const char __pyx_k_zeros[] = "zeros";
static const char __pyx_k_arange[] = "arange";
static const char __pyx_k_astype[] = "astype";
static const char __pyx_k_author[] = "__author__";
static const char __pyx_k_buffer[] = "buffer";
static const char __pyx_k_cdummy[] = "cdummy";
static const char __pyx_k_cumsum[] = "cumsum";
static const char __pyx_k_data_d[] = "data_d";
static const char __pyx_k_delta0[] = "delta0";
static const char __pyx_k_delta1[] = "delta1";
static const char __pyx_k_double[] = "double";
static const char __pyx_k_encode[] = "encode";
static const char __pyx_k_format[] = "format";
static const char __pyx_k_import[] = "__import__";
static const char __pyx_k_indptr[] = "indptr";
static const char __pyx_k_kwargs[] = "kwargs";
static const char __pyx_k_logger[] = "logger";
static const char __pyx_k_mask_d[] = "mask_d";
static const char __pyx_k_merged[] = "merged";
static const char __pyx_k_method[] = "method";
static const char __pyx_k_module[] = "__module__";
static const char __pyx_k_name_2[] = "__name__";
static const char __pyx_k_nbytes[] = "nbytes";
static const char __pyx_k_object[] = "object";
static const char __pyx_k_offset[] = "offset";
static const char __pyx_k_outMax[] = "outMax";
static const char __pyx_k_pickle[] = "pickle";
static const char __pyx_k_pixel1[] = "pixel1";
static const char __pyx_k_pixel2[] = "pixel2";
static const char __pyx_k_prop_d[] = "prop_d";
static const char __pyx_k_reduce[] = "__reduce__";
static const char __pyx_k_shape0[] = "shape0";
static const char __pyx_k_shape1[] = "shape1";
static const char __pyx_k_signal[] = "signal";
static const char __pyx_k_stable[] = "stable";
static const char __pyx_k_status[] = "__status__";
static const char __pyx_k_struct[] = "struct";
static const char __pyx_k_to_csr[] = "to_csr";
static const char __pyx_k_unpack[] = "unpack";
static const char __pyx_k_update[] = "update";
static const char __pyx_k_asarray[] = "asarray";
static const char __pyx_k_builder[] = "builder";
static const char __pyx_k_cddummy[] = "cddummy";
static const char __pyx_k_contact[] = "__contact__";
static const char __pyx_k_correct[] = "correct";
static const char __pyx_k_counter[] = "counter";
static const char __pyx_k_do_dark[] = "do_dark";
static const char __pyx_k_do_flat[] = "do_flat";
static const char __pyx_k_do_mask[] = "do_mask";
static const char __pyx_k_epsilon[] = "epsilon";
static const char __pyx_k_err_cnt[] = "err_cnt";
static const char __pyx_k_float32[] = "float32";
static const char __pyx_k_float64[] = "float64";
static const char __pyx_k_fortran[] = "fortran";
static const char __pyx_k_idx_bin[] = "idx_bin";
static const char __pyx_k_indices[] = "indices";
static const char __pyx_k_license[] = "__license__";
static const char __pyx_k_linesep[] = "linesep";
static const char __pyx_k_logging[] = "logging";
static const char __pyx_k_lshape0[] = "lshape0";
static const char __pyx_k_lshape1[] = "lshape1";
static const char __pyx_k_max_val[] = "max_val";
static const char __pyx_k_memview[] = "memview";
static const char __pyx_k_min_val[] = "min_val";
static const char __pyx_k_offset0[] = "offset0";
static const char __pyx_k_offset1[] = "offset1";
static const char __pyx_k_pos0max[] = "pos0max";
static const char __pyx_k_pos0min[] = "pos0min";
static const char __pyx_k_pos1max[] = "pos1max";
static const char __pyx_k_pos1min[] = "pos1min";
static const char __pyx_k_prepare[] = "__prepare__";
static const char __pyx_k_records[] = "records";
static const char __pyx_k_reshape[] = "reshape";
static const char __pyx_k_size_in[] = "size_in";
static const char __pyx_k_sum_sig[] = "sum_sig";
static const char __pyx_k_sum_var[] = "sum_var";
static const char __pyx_k_tmp_ary[] = "tmp_ary";
static const char __pyx_k_version[] = "version";
static const char __pyx_k_warning[] = "warning";
static const char __pyx_k_weights[] = "weights";
static const char __pyx_k_Ellipsis[] = "Ellipsis";
static const char __pyx_k_KeyError[] = "KeyError";
static const char __pyx_k_acc_data[] = "acc_data";
static const char __pyx_k_all_max0[] = "all_max0";
static const char __pyx_k_all_max1[] = "all_max1";
static const char __pyx_k_all_min0[] = "all_min0";
static const char __pyx_k_all_min1[] = "all_min1";
static const char __pyx_k_bin_size[] = "bin_size";
static const char __pyx_k_calc_CSR[] = "calc_CSR";
static const char __pyx_k_calc_LUT[] = "calc_LUT";
static const char __pyx_k_calc_pos[] = "calc_pos";
static const char __pyx_k_defaults[] = "defaults";
static const char __pyx_k_detector[] = "detector";
static const char __pyx_k_do_dummy[] = "do_dummy";
static const char __pyx_k_do_shape[] = "do_shape";
static const char __pyx_k_expand2d[] = "expand2d";
static const char __pyx_k_foffset0[] = "foffset0";
static const char __pyx_k_foffset1[] = "foffset1";
static const char __pyx_k_getstate[] = "__getstate__";
static const char __pyx_k_itemsize[] = "itemsize";
static const char __pyx_k_lut_size[] = "lut_size";
static const char __pyx_k_pyx_type[] = "__pyx_type";
static const char __pyx_k_qualname[] = "__qualname__";
static const char __pyx_k_recarray[] = "recarray";
static const char __pyx_k_setstate[] = "__setstate__";
static const char __pyx_k_shape_in[] = "shape_in";
static const char __pyx_k_sum_data[] = "sum_data";
static const char __pyx_k_sum_norm[] = "sum_norm";
static const char __pyx_k_variance[] = "variance";
static const char __pyx_k_Semaphore[] = "Semaphore";
static const char __pyx_k_TypeError[] = "TypeError";
static const char __pyx_k_acc_count[] = "acc_count";
static const char __pyx_k_box_size0[] = "box_size0";
static const char __pyx_k_box_size1[] = "box_size1";
static const char __pyx_k_calc_size[] = "calc_size";
static const char __pyx_k_copyright[] = "__copyright__";
static const char __pyx_k_detectors[] = "detectors";
static const char __pyx_k_enumerate[] = "enumerate";
static const char __pyx_k_getLogger[] = "getLogger";
static const char __pyx_k_heap_size[] = "heap_size";
static const char __pyx_k_idx_pixel[] = "idx_pixel";
static const char __pyx_k_img_shape[] = "img_shape";
static const char __pyx_k_intercept[] = "intercept";
static const char __pyx_k_max_shape[] = "max_shape";
static const char __pyx_k_metaclass[] = "__metaclass__";
static const char __pyx_k_new_image[] = "new_image";
static const char __pyx_k_pyx_state[] = "__pyx_state";
static const char __pyx_k_reduce_ex[] = "__reduce_ex__";
static const char __pyx_k_shape_in0[] = "shape_in0";
static const char __pyx_k_shape_in1[] = "shape_in1";
static const char __pyx_k_shape_out[] = "shape_out";
static const char __pyx_k_sum_count[] = "sum_count";
static const char __pyx_k_threading[] = "threading";
static const char __pyx_k_tmp_index[] = "tmp_index";
static const char __pyx_k_uncorrect[] = "uncorrect";
static const char __pyx_k_02_01_2020[] = "02/01/2020";
static const char __pyx_k_02_05_2019[] = "02/05/2019";
static const char __pyx_k_17_05_2019[] = "17/05/2019";
static const char __pyx_k_Distortion[] = "Distortion";
static const char __pyx_k_IndexError[] = "IndexError";
static const char __pyx_k_ValueError[] = "ValueError";
static const char __pyx_k_bin_number[] = "bin_number";
static const char __pyx_k_block_size[] = "block_size";
static const char __pyx_k_coef_power[] = "coef_power";
static const char __pyx_k_csr_matrix[] = "csr_matrix";
static const char __pyx_k_large_data[] = "large_data";
static const char __pyx_k_large_size[] = "large_size";
static const char __pyx_k_namedtuple[] = "namedtuple";
static const char __pyx_k_nb_corners[] = "nb_corners";
static const char __pyx_k_position_d[] = "position_d";
static const char __pyx_k_propagated[] = "propagated";
static const char __pyx_k_pyx_result[] = "__pyx_result";
static const char __pyx_k_pyx_vtable[] = "__pyx_vtable__";
static const char __pyx_k_set_matrix[] = "set_matrix";
static const char __pyx_k_shape_img0[] = "shape_img0";
static const char __pyx_k_shape_img1[] = "shape_img1";
static const char __pyx_k_shape_out0[] = "shape_out0";
static const char __pyx_k_shape_out1[] = "shape_out1";
static const char __pyx_k_signatures[] = "signatures";
static const char __pyx_k_solidAngle[] = "solidAngle";
static const char __pyx_k_ImportError[] = "ImportError";
static const char __pyx_k_MemoryError[] = "MemoryError";
static const char __pyx_k_PickleError[] = "PickleError";
static const char __pyx_k_bin_centers[] = "bin_centers";
static const char __pyx_k_buffer_size[] = "buffer_size";
static const char __pyx_k_calc_sparse[] = "calc_sparse";
static const char __pyx_k_collections[] = "collections";
static const char __pyx_k_concatenate[] = "concatenate";
static const char __pyx_k_correct_CSR[] = "correct_CSR";
static const char __pyx_k_correct_LUT[] = "correct_LUT";
static const char __pyx_k_csolidAngle[] = "csolidAngle";
static const char __pyx_k_delta_dummy[] = "delta_dummy";
static const char __pyx_k_image_is_2D[] = "image is 2D";
static const char __pyx_k_image_is_3D[] = "image is 3D";
static const char __pyx_k_pixel_count[] = "pixel_count";
static const char __pyx_k_pos_corners[] = "pos_corners";
static const char __pyx_k_third_party[] = "third_party";
static const char __pyx_k_LUT_ITEMSIZE[] = "LUT_ITEMSIZE";
static const char __pyx_k_RuntimeError[] = "RuntimeError";
static const char __pyx_k_bin_centers0[] = "bin_centers0";
static const char __pyx_k_bin_centers1[] = "bin_centers1";
static const char __pyx_k_cdelta_dummy[] = "cdelta_dummy";
static const char __pyx_k_polarization[] = "polarization";
static const char __pyx_k_pyx_checksum[] = "__pyx_checksum";
static const char __pyx_k_scipy_sparse[] = "scipy.sparse";
static const char __pyx_k_string_types[] = "string_types";
static const char __pyx_k_stringsource[] = "stringsource";
static const char __pyx_k_version_info[] = "version_info";
static const char __pyx_k_weights_size[] = "weights size";
static const char __pyx_k_Accessing_i_i[] = "Accessing %i >= %i !!!";
static const char __pyx_k_buffer_nbytes[] = "buffer_nbytes";
static const char __pyx_k_calc_LUT_size[] = "calc_LUT_size";
static const char __pyx_k_cpolarization[] = "cpolarization";
static const char __pyx_k_do_solidAngle[] = "do_solidAngle";
static const char __pyx_k_pixel_corners[] = "pixel_corners";
static const char __pyx_k_pyx_getbuffer[] = "__pyx_getbuffer";
static const char __pyx_k_reduce_cython[] = "__reduce_cython__";
static const char __pyx_k_uncorrect_CSR[] = "uncorrect_CSR";
static const char __pyx_k_uncorrect_LUT[] = "uncorrect_LUT";
static const char __pyx_k_2011_2018_ESRF[] = "2011-2018, ESRF";
static const char __pyx_k_Jerome_Kieffer[] = "Jerome Kieffer";
static const char __pyx_k_bins_per_pixel[] = "bins_per_pixel";
static const char __pyx_k_builder_config[] = "builder_config";
static const char __pyx_k_calc_sparse_v2[] = "calc_sparse_v2";
static const char __pyx_k_lut_total_size[] = "lut_total_size";
static const char __pyx_k_max_pixel_size[] = "max_pixel_size";
static const char __pyx_k_CsrIntegrator2d[] = "CsrIntegrator2d";
static const char __pyx_k_View_MemoryView[] = "View.MemoryView";
static const char __pyx_k_allocate_buffer[] = "allocate_buffer";
static const char __pyx_k_do_polarization[] = "do_polarization";
static const char __pyx_k_dtype_is_object[] = "dtype_is_object";
static const char __pyx_k_mask_shape_dim0[] = "mask shape dim0";
static const char __pyx_k_mask_shape_dim1[] = "mask shape dim1";
static const char __pyx_k_pyx_PickleError[] = "__pyx_PickleError";
static const char __pyx_k_resize_image_2D[] = "resize_image_2D";
static const char __pyx_k_resize_image_3D[] = "resize_image_3D";
static const char __pyx_k_setstate_cython[] = "__setstate_cython__";
static const char __pyx_k_detector_factory[] = "detector_factory";
static const char __pyx_k_integrate_legacy[] = "integrate_legacy";
static const char __pyx_k_Distortion___init[] = "Distortion.__init__";
static const char __pyx_k_Distortion___repr[] = "Distortion.__repr__";
static const char __pyx_k_Integrate1dResult[] = "Integrate1dResult";
static const char __pyx_k_Integrate2dResult[] = "Integrate2dResult";
static const char __pyx_k_and_shape_of_mask[] = ") and shape of mask (";
static const char __pyx_k_ascontiguousarray[] = "ascontiguousarray";
static const char __pyx_k_correct_CSR_kahan[] = "correct_CSR_kahan";
static const char __pyx_k_correct_LUT_kahan[] = "correct_LUT_kahan";
static const char __pyx_k_preprocessed_data[] = "preprocessed_data";
static const char __pyx_k_pyx_unpickle_Enum[] = "__pyx_unpickle_Enum";
static const char __pyx_k_Distortion_correct[] = "Distortion.correct";
static const char __pyx_k_cline_in_traceback[] = "cline_in_traceback";
static const char __pyx_k_correct_CSR_double[] = "correct_CSR_double";
static const char __pyx_k_correct_LUT_double[] = "correct_LUT_double";
static const char __pyx_k_numpy_1_12_py2_bug[] = "_numpy_1_12_py2_bug";
static const char __pyx_k_strided_and_direct[] = "<strided and direct>";
static const char __pyx_k_CSR_matrix_3f_MByte[] = "CSR matrix: %.3f MByte";
static const char __pyx_k_Distortion_calc_LUT[] = "Distortion.calc_LUT";
static const char __pyx_k_Distortion_calc_pos[] = "Distortion.calc_pos";
static const char __pyx_k_NotImplementedError[] = "NotImplementedError";
static const char __pyx_k_Distortion_uncorrect[] = "Distortion.uncorrect";
static const char __pyx_k_normalization_factor[] = "normalization_factor";
static const char __pyx_k_strided_and_indirect[] = "<strided and indirect>";
static const char __pyx_k_contiguous_and_direct[] = "<contiguous and direct>";
static const char __pyx_k_flat_field_array_size[] = "flat-field array size";
static const char __pyx_k_pyFAI_ext__distortion[] = "pyFAI.ext._distortion";
static const char __pyx_k_CsrIntegrator2d___init[] = "CsrIntegrator2d.__init__";
static const char __pyx_k_Jerome_kieffer_esrf_fr[] = "Jerome.kieffer@esrf.fr";
static const char __pyx_k_MemoryView_of_r_object[] = "<MemoryView of %r object>";
static const char __pyx_k_Solid_angle_array_size[] = "Solid angle array size";
static const char __pyx_k_Temporary_storage_3fMB[] = "Temporary storage: %.3fMB";
static const char __pyx_k_jerome_kieffer_esrf_fr[] = "jerome.kieffer@esrf.fr";
static const char __pyx_k_shape_in0_mask_shape_0[] = "shape_in0 == mask.shape[0]";
static const char __pyx_k_shape_in1_mask_shape_1[] = "shape_in1 == mask.shape[1]";
static const char __pyx_k_MemoryView_of_r_at_0x_x[] = "<MemoryView of %r at 0x%x>";
static const char __pyx_k_contiguous_and_indirect[] = "<contiguous and indirect>";
static const char __pyx_k_dark_current_array_size[] = "dark current array size";
static const char __pyx_k_polarization_array_size[] = "polarization array size";
static const char __pyx_k_Cannot_index_with_type_s[] = "Cannot index with type '%s'";
static const char __pyx_k_Distortion_calc_LUT_size[] = "Distortion.calc_LUT_size";
static const char __pyx_k_LUT_shape_i_i_i_3f_MByte[] = "LUT shape: (%i,%i,%i) %.3f MByte";
static const char __pyx_k_calc_cartesian_positions[] = "calc_cartesian_positions";
static const char __pyx_k_Invalid_shape_in_axis_d_d[] = "Invalid shape in axis %d: %d.";
static const char __pyx_k_pyFAI_ext__distortion_pyx[] = "pyFAI/ext/_distortion.pyx";
static const char __pyx_k_CsrIntegrator2d_set_matrix[] = "CsrIntegrator2d.set_matrix";
static const char __pyx_k_Integrate1dWithErrorResult[] = "Integrate1dWithErrorResult";
static const char __pyx_k_Integrate2dWithErrorResult[] = "Integrate2dWithErrorResult";
static const char __pyx_k_correct_CSR_preproc_double[] = "correct_CSR_preproc_double";
static const char __pyx_k_correct_LUT_preproc_double[] = "correct_LUT_preproc_double";
static const char __pyx_k_No_matching_signature_found[] = "No matching signature found";
static const char __pyx_k_itemsize_0_for_cython_array[] = "itemsize <= 0 for cython.array";
static const char __pyx_k_ndarray_is_not_C_contiguous[] = "ndarray is not C contiguous";
static const char __pyx_k_pyFAI_ext_sparse_common_pxi[] = "pyFAI/ext/sparse_common.pxi";
static const char __pyx_k_unable_to_allocate_array_data[] = "unable to allocate array data.";
static const char __pyx_k_strided_and_direct_or_indirect[] = "<strided and direct or indirect>";
static const char __pyx_k_Abstract_class_which_implements[] = "Abstract class which implements only the integrator...\n\n    Now uses CSR (Compressed Sparse raw) with main attributes:\n    * nnz: number of non zero elements\n    * data: coefficient of the matrix in a 1D vector of float32\n    * indices: Column index position for the data (same size as\n    * indptr: row pointer indicates the start of a given row. len nrow+1\n\n    Nota: nnz = indptr[-1]\n    ";
static const char __pyx_k_Distortion_correction_are_corre[] = "\nDistortion correction are correction are applied by look-up table (or CSR)\n";
static const char __pyx_k_Patching_image_as_image_is_ix_i[] = "Patching image as image is %ix%i and spline is %ix%i";
static const char __pyx_k_Patching_image_of_shape_ix_i_on[] = "Patching image of shape %ix%i on expected size of %ix%i";
static const char __pyx_k_The_look_up_table_has_dimension[] = "The look-up table has dimension 0 which is a non-sense. Did you mask out all pixel or is your image out of the geometry range?";
static const char __pyx_k_This_class_applies_a_distortion[] = "\n\n    This class applies a distortion correction on an image.\n\n    It is also able to apply an inversion of the correction.\n\n    ";
static const char __pyx_k_numpy_core_multiarray_failed_to[] = "numpy.core.multiarray failed to import";
static const char __pyx_k_shape_out0_shape_out1_LUT_shape[] = "shape_out0 * shape_out1 == LUT.shape[0]";
static const char __pyx_k_unknown_dtype_code_in_numpy_pxd[] = "unknown dtype code in numpy.pxd (%d)";
static const char __pyx_k_Buffer_view_does_not_expose_stri[] = "Buffer view does not expose strides";
static const char __pyx_k_CSR_matrix_3f_MByte_Max_source_p[] = "CSR matrix: %.3f MByte; Max source pixel in target: %i, average splitting: %.2f";
static const char __pyx_k_Can_only_create_a_buffer_that_is[] = "Can only create a buffer that is contiguous in memory.";
static const char __pyx_k_Cannot_assign_to_read_only_memor[] = "Cannot assign to read-only memoryview";
static const char __pyx_k_Cannot_create_writable_memory_vi[] = "Cannot create writable memory view from read-only memoryview";
static const char __pyx_k_CsrIntegrator2d_integrate_legacy[] = "CsrIntegrator2d.integrate_legacy";
static const char __pyx_k_Distortion_correction_for_detect[] = "Distortion correction for detector:";
static const char __pyx_k_Empty_shape_tuple_for_cython_arr[] = "Empty shape tuple for cython.array";
static const char __pyx_k_Expected_at_least_d_argument_s_g[] = "Expected at least %d argument%s, got %d";
static const char __pyx_k_Format_string_allocated_too_shor[] = "Format string allocated too short, see comment in numpy.pxd";
static const char __pyx_k_Function_call_with_ambiguous_arg[] = "Function call with ambiguous argument types";
static const char __pyx_k_Incompatible_checksums_s_vs_0xb0[] = "Incompatible checksums (%s vs 0xb068931 = (name))";
static const char __pyx_k_Indirect_dimensions_not_supporte[] = "Indirect dimensions not supported";
static const char __pyx_k_Invalid_mode_expected_c_or_fortr[] = "Invalid mode, expected 'c' or 'fortran', got %s";
static const char __pyx_k_LUT_matrix_3f_MByte_Max_source_p[] = "LUT matrix: %.3f MByte; Max source pixel in target: %i, average splitting: %.2f";
static const char __pyx_k_Max_pixel_size_ix_i_Max_source_p[] = "Max pixel size: %ix%i; Max source pixel in target: %i";
static const char __pyx_k_Mismatch_between_shape_of_detect[] = "Mismatch between shape of detector (";
static const char __pyx_k_No_value_specified_for_struct_at[] = "No value specified for struct attribute 'idx'";
static const char __pyx_k_Non_native_byte_order_not_suppor[] = "Non-native byte order not supported";
static const char __pyx_k_Out_of_bounds_on_buffer_access_a[] = "Out of bounds on buffer access (axis %d)";
static const char __pyx_k_Pixel_size_cannot_be_null_Zero_d[] = "Pixel size cannot be null -> Zero division error";
static const char __pyx_k_Please_increase_bins_per_pixel_s[] = "Please increase bins_per_pixel=%s. ";
static const char __pyx_k_Provided_temporary_space_for_sto[] = "Provided temporary space for storage is not enough. ";
static const char __pyx_k_The_suggested_value_is_i_or_grea[] = "The suggested value is %i or greater.";
static const char __pyx_k_Unable_to_convert_item_to_object[] = "Unable to convert item to object";
static const char __pyx_k_Unimplemented_sparse_matrix_form[] = "Unimplemented sparse matrix format: %s";
static const char __pyx_k_got_differing_extents_in_dimensi[] = "got differing extents in dimension %d (got %d and %d)";
static const char __pyx_k_makes_little_sense_to_correct_fo[] = "makes little sense to correct for distortion non-flat detectors: %s";
static const char __pyx_k_ndarray_is_not_Fortran_contiguou[] = "ndarray is not Fortran contiguous";
static const char __pyx_k_no_default___reduce___due_to_non[] = "no default __reduce__ due to non-trivial __cinit__";
static const char __pyx_k_number_of_elements_s_average_per[] = "number of elements: %s, average per bin %.3f allocated max: %s";
static const char __pyx_k_numpy_core_umath_failed_to_impor[] = "numpy.core.umath failed to import";
static const char __pyx_k_shape_out0_shape_out1_indptr_siz[] = "shape_out0*shape_out1 == indptr.size-1";
static const char __pyx_k_unable_to_allocate_shape_and_str[] = "unable to allocate shape and strides.";
static const char __pyx_k_Format_string_allocated_too_shor_2[] = "Format string allocated too short.";
static const char __pyx_k_No_value_specified_for_struct_at_2[] = "No value specified for struct attribute 'coef'";
static PyObject *__pyx_kp_u_02_01_2020;
static PyObject *__pyx_kp_u_02_05_2019;
static PyObject *__pyx_kp_u_17_05_2019;
static PyObject *__pyx_kp_u_1_5;
static PyObject *__pyx_kp_u_2011_2018_ESRF;
static PyObject *__pyx_kp_u_A0;
static PyObject *__pyx_n_s_A0_2;
static PyObject *__pyx_kp_u_A1;
static PyObject *__pyx_n_s_A1_2;
static PyObject *__pyx_n_s_ASCII;
static PyObject *__pyx_kp_s_Abstract_class_which_implements;
static PyObject *__pyx_kp_u_Accessing_i_i;
static PyObject *__pyx_kp_u_B0;
static PyObject *__pyx_n_s_B0_2;
static PyObject *__pyx_kp_u_B1;
static PyObject *__pyx_n_s_B1_2;
static PyObject *__pyx_n_s_BIG;
static PyObject *__pyx_kp_s_Buffer_view_does_not_expose_stri;
static PyObject *__pyx_kp_u_C0;
static PyObject *__pyx_n_s_C0_2;
static PyObject *__pyx_kp_u_C1;
static PyObject *__pyx_n_s_C1_2;
static PyObject *__pyx_kp_u_CSR_matrix_3f_MByte;
static PyObject *__pyx_kp_u_CSR_matrix_3f_MByte_Max_source_p;
static PyObject *__pyx_kp_s_Can_only_create_a_buffer_that_is;
static PyObject *__pyx_kp_s_Cannot_assign_to_read_only_memor;
static PyObject *__pyx_kp_s_Cannot_create_writable_memory_vi;
static PyObject *__pyx_kp_s_Cannot_index_with_type_s;
static PyObject *__pyx_n_s_CsrIntegrator2d;
static PyObject *__pyx_n_s_CsrIntegrator2d___init;
static PyObject *__pyx_n_s_CsrIntegrator2d_integrate_legacy;
static PyObject *__pyx_n_s_CsrIntegrator2d_set_matrix;
static PyObject *__pyx_kp_u_D0;
static PyObject *__pyx_n_s_D0_2;
static PyObject *__pyx_kp_u_D1;
static PyObject *__pyx_n_s_D1_2;
static PyObject *__pyx_n_s_Distortion;
static PyObject *__pyx_n_s_Distortion___init;
static PyObject *__pyx_n_s_Distortion___repr;
static PyObject *__pyx_n_s_Distortion_calc_LUT;
static PyObject *__pyx_n_s_Distortion_calc_LUT_size;
static PyObject *__pyx_n_s_Distortion_calc_pos;
static PyObject *__pyx_n_s_Distortion_correct;
static PyObject *__pyx_kp_u_Distortion_correction_for_detect;
static PyObject *__pyx_n_s_Distortion_uncorrect;
static PyObject *__pyx_n_s_Ellipsis;
static PyObject *__pyx_kp_s_Empty_shape_tuple_for_cython_arr;
static PyObject *__pyx_kp_s_Expected_at_least_d_argument_s_g;
static PyObject *__pyx_kp_u_Format_string_allocated_too_shor;
static PyObject *__pyx_kp_u_Format_string_allocated_too_shor_2;
static PyObject *__pyx_kp_s_Function_call_with_ambiguous_arg;
static PyObject *__pyx_n_s_I1;
static PyObject *__pyx_n_s_I2;
static PyObject *__pyx_n_s_ImportError;
static PyObject *__pyx_kp_s_Incompatible_checksums_s_vs_0xb0;
static PyObject *__pyx_n_s_IndexError;
static PyObject *__pyx_kp_s_Indirect_dimensions_not_supporte;
static PyObject *__pyx_n_s_Integrate1dResult;
static PyObject *__pyx_n_u_Integrate1dResult;
static PyObject *__pyx_n_s_Integrate1dWithErrorResult;
static PyObject *__pyx_n_u_Integrate1dWithErrorResult;
static PyObject *__pyx_n_s_Integrate2dResult;
static PyObject *__pyx_n_u_Integrate2dResult;
static PyObject *__pyx_n_s_Integrate2dWithErrorResult;
static PyObject *__pyx_n_u_Integrate2dWithErrorResult;
static PyObject *__pyx_kp_s_Invalid_mode_expected_c_or_fortr;
static PyObject *__pyx_kp_s_Invalid_shape_in_axis_d_d;
static PyObject *__pyx_kp_u_Jerome_Kieffer;
static PyObject *__pyx_kp_u_Jerome_kieffer_esrf_fr;
static PyObject *__pyx_n_s_KeyError;
static PyObject *__pyx_n_s_LUT;
static PyObject *__pyx_n_s_LUT_ITEMSIZE;
static PyObject *__pyx_kp_u_LUT_matrix_3f_MByte_Max_source_p;
static PyObject *__pyx_kp_u_LUT_shape_i_i_i_3f_MByte;
static PyObject *__pyx_n_u_MIT;
static PyObject *__pyx_kp_u_Max_pixel_size_ix_i_Max_source_p;
static PyObject *__pyx_n_s_MemoryError;
static PyObject *__pyx_kp_s_MemoryView_of_r_at_0x_x;
static PyObject *__pyx_kp_s_MemoryView_of_r_object;
static PyObject *__pyx_kp_u_Mismatch_between_shape_of_detect;
static PyObject *__pyx_n_s_NaN;
static PyObject *__pyx_n_s_Nan;
static PyObject *__pyx_kp_s_No_matching_signature_found;
static PyObject *__pyx_kp_s_No_value_specified_for_struct_at;
static PyObject *__pyx_kp_s_No_value_specified_for_struct_at_2;
static PyObject *__pyx_kp_u_Non_native_byte_order_not_suppor;
static PyObject *__pyx_n_s_NotImplementedError;
static PyObject *__pyx_n_b_O;
static PyObject *__pyx_kp_s_Out_of_bounds_on_buffer_access_a;
static PyObject *__pyx_kp_u_Patching_image_as_image_is_ix_i;
static PyObject *__pyx_kp_u_Patching_image_of_shape_ix_i_on;
static PyObject *__pyx_n_s_PickleError;
static PyObject *__pyx_kp_u_Pixel_size_cannot_be_null_Zero_d;
static PyObject *__pyx_kp_u_Please_increase_bins_per_pixel_s;
static PyObject *__pyx_kp_u_Provided_temporary_space_for_sto;
static PyObject *__pyx_n_s_RuntimeError;
static PyObject *__pyx_n_s_Semaphore;
static PyObject *__pyx_kp_u_Solid_angle_array_size;
static PyObject *__pyx_kp_u_Temporary_storage_3fMB;
static PyObject *__pyx_kp_u_The_look_up_table_has_dimension;
static PyObject *__pyx_kp_u_The_suggested_value_is_i_or_grea;
static PyObject *__pyx_kp_s_This_class_applies_a_distortion;
static PyObject *__pyx_n_s_TypeError;
static PyObject *__pyx_kp_s_Unable_to_convert_item_to_object;
static PyObject *__pyx_kp_u_Unimplemented_sparse_matrix_form;
static PyObject *__pyx_n_s_ValueError;
static PyObject *__pyx_n_s_View_MemoryView;
static PyObject *__pyx_kp_u__10;
static PyObject *__pyx_kp_u__11;
static PyObject *__pyx_kp_u__18;
static PyObject *__pyx_kp_s__2;
static PyObject *__pyx_kp_s__3;
static PyObject *__pyx_kp_u__71;
static PyObject *__pyx_n_s_acc_count;
static PyObject *__pyx_n_s_acc_d;
static PyObject *__pyx_n_s_acc_data;
static PyObject *__pyx_n_s_all_max0;
static PyObject *__pyx_n_s_all_max1;
static PyObject *__pyx_n_s_all_min0;
static PyObject *__pyx_n_s_all_min1;
static PyObject *__pyx_n_s_allocate_buffer;
static PyObject *__pyx_kp_u_and_shape_of_mask;
static PyObject *__pyx_n_s_arange;
static PyObject *__pyx_n_s_area;
static PyObject *__pyx_n_s_args;
static PyObject *__pyx_n_s_array;
static PyObject *__pyx_n_s_asarray;
static PyObject *__pyx_n_s_ascontiguousarray;
static PyObject *__pyx_n_s_astype;
static PyObject *__pyx_n_s_author;
static PyObject *__pyx_n_s_axis;
static PyObject *__pyx_n_s_base;
static PyObject *__pyx_n_s_bin_centers;
static PyObject *__pyx_n_s_bin_centers0;
static PyObject *__pyx_n_s_bin_centers1;
static PyObject *__pyx_n_s_bin_number;
static PyObject *__pyx_n_s_bin_size;
static PyObject *__pyx_n_s_bins;
static PyObject *__pyx_n_u_bins;
static PyObject *__pyx_n_u_bins0;
static PyObject *__pyx_n_u_bins1;
static PyObject *__pyx_n_s_bins_per_pixel;
static PyObject *__pyx_n_s_block_size;
static PyObject *__pyx_n_s_box_size0;
static PyObject *__pyx_n_s_box_size1;
static PyObject *__pyx_n_s_buffer;
static PyObject *__pyx_n_s_buffer_nbytes;
static PyObject *__pyx_n_s_buffer_size;
static PyObject *__pyx_n_s_builder;
static PyObject *__pyx_n_s_builder_config;
static PyObject *__pyx_n_s_c;
static PyObject *__pyx_n_u_c;
static PyObject *__pyx_n_s_cAB;
static PyObject *__pyx_n_s_cBC;
static PyObject *__pyx_n_s_cCD;
static PyObject *__pyx_n_s_cDA;
static PyObject *__pyx_n_s_calc_CSR;
static PyObject *__pyx_n_s_calc_LUT;
static PyObject *__pyx_n_s_calc_LUT_size;
static PyObject *__pyx_n_s_calc_cartesian_positions;
static PyObject *__pyx_n_s_calc_pos;
static PyObject *__pyx_n_s_calc_size;
static PyObject *__pyx_n_s_calc_sparse;
static PyObject *__pyx_n_s_calc_sparse_v2;
static PyObject *__pyx_n_s_ccoef;
static PyObject *__pyx_n_s_cdark;
static PyObject *__pyx_n_s_cdata;
static PyObject *__pyx_n_s_cddummy;
static PyObject *__pyx_n_s_cdelta_dummy;
static PyObject *__pyx_n_s_cdummy;
static PyObject *__pyx_n_s_ceil;
static PyObject *__pyx_n_s_cflat;
static PyObject *__pyx_n_s_class;
static PyObject *__pyx_n_s_cline_in_traceback;
static PyObject *__pyx_n_s_clip;
static PyObject *__pyx_n_s_cmask;
static PyObject *__pyx_n_b_coef;
static PyObject *__pyx_n_s_coef;
static PyObject *__pyx_n_u_coef;
static PyObject *__pyx_n_s_coef_power;
static PyObject *__pyx_n_s_collections;
static PyObject *__pyx_n_s_concatenate;
static PyObject *__pyx_n_s_contact;
static PyObject *__pyx_kp_s_contiguous_and_direct;
static PyObject *__pyx_kp_s_contiguous_and_indirect;
static PyObject *__pyx_n_s_copy;
static PyObject *__pyx_n_s_copyright;
static PyObject *__pyx_n_s_core;
static PyObject *__pyx_n_s_correct;
static PyObject *__pyx_n_s_correct_CSR;
static PyObject *__pyx_n_s_correct_CSR_double;
static PyObject *__pyx_n_s_correct_CSR_kahan;
static PyObject *__pyx_n_s_correct_CSR_preproc_double;
static PyObject *__pyx_n_s_correct_LUT;
static PyObject *__pyx_n_s_correct_LUT_double;
static PyObject *__pyx_n_s_correct_LUT_kahan;
static PyObject *__pyx_n_s_correct_LUT_preproc_double;
static PyObject *__pyx_n_b_count;
static PyObject *__pyx_n_u_count;
static PyObject *__pyx_n_s_counter;
static PyObject *__pyx_n_s_cpolarization;
static PyObject *__pyx_n_s_csolidAngle;
static PyObject *__pyx_n_s_csr;
static PyObject *__pyx_n_u_csr_2;
static PyObject *__pyx_n_s_csr_matrix;
static PyObject *__pyx_n_s_cumsum;
static PyObject *__pyx_n_s_d1;
static PyObject *__pyx_n_s_d2;
static PyObject *__pyx_n_s_dark;
static PyObject *__pyx_kp_u_dark_current_array_size;
static PyObject *__pyx_n_s_data;
static PyObject *__pyx_n_s_data_d;
static PyObject *__pyx_n_s_date;
static PyObject *__pyx_n_s_defaults;
static PyObject *__pyx_n_s_delta0;
static PyObject *__pyx_n_s_delta1;
static PyObject *__pyx_n_s_delta_dummy;
static PyObject *__pyx_n_s_detector;
static PyObject *__pyx_n_u_detector;
static PyObject *__pyx_n_s_detector_factory;
static PyObject *__pyx_n_s_detectors;
static PyObject *__pyx_n_s_dict;
static PyObject *__pyx_n_s_dim0;
static PyObject *__pyx_n_s_dim1;
static PyObject *__pyx_n_s_do_dark;
static PyObject *__pyx_n_s_do_dummy;
static PyObject *__pyx_n_s_do_flat;
static PyObject *__pyx_n_s_do_mask;
static PyObject *__pyx_n_s_do_polarization;
static PyObject *__pyx_n_s_do_shape;
static PyObject *__pyx_n_s_do_solidAngle;
static PyObject *__pyx_n_s_doc;
static PyObject *__pyx_n_s_double;
static PyObject *__pyx_n_u_double;
static PyObject *__pyx_n_s_dtype;
static PyObject *__pyx_n_s_dtype_is_object;
static PyObject *__pyx_n_s_dummy;
static PyObject *__pyx_n_s_empty;
static PyObject *__pyx_n_s_encode;
static PyObject *__pyx_n_s_enter;
static PyObject *__pyx_n_s_enumerate;
static PyObject *__pyx_n_s_eps;
static PyObject *__pyx_n_s_epsilon;
static PyObject *__pyx_n_s_err;
static PyObject *__pyx_n_s_err_cnt;
static PyObject *__pyx_n_s_error;
static PyObject *__pyx_n_u_error;
static PyObject *__pyx_n_s_exit;
static PyObject *__pyx_n_s_expand2d;
static PyObject *__pyx_n_s_fabio;
static PyObject *__pyx_n_s_finfo;
static PyObject *__pyx_n_s_flags;
static PyObject *__pyx_n_s_flat;
static PyObject *__pyx_kp_u_flat_field_array_size;
static PyObject *__pyx_n_s_float;
static PyObject *__pyx_n_s_float32;
static PyObject *__pyx_n_s_float64;
static PyObject *__pyx_n_s_floor;
static PyObject *__pyx_n_s_foffset0;
static PyObject *__pyx_n_s_foffset1;
static PyObject *__pyx_n_s_format;
static PyObject *__pyx_n_s_fortran;
static PyObject *__pyx_n_u_fortran;
static PyObject *__pyx_n_s_getLogger;
static PyObject *__pyx_n_s_getstate;
static PyObject *__pyx_kp_s_got_differing_extents_in_dimensi;
static PyObject *__pyx_n_s_heap_size;
static PyObject *__pyx_n_s_i;
static PyObject *__pyx_n_u_i;
static PyObject *__pyx_n_s_i0;
static PyObject *__pyx_n_s_i1;
static PyObject *__pyx_n_s_id;
static PyObject *__pyx_n_b_idx;
static PyObject *__pyx_n_s_idx;
static PyObject *__pyx_n_u_idx;
static PyObject *__pyx_n_s_idx_bin;
static PyObject *__pyx_n_s_idx_pixel;
static PyObject *__pyx_n_u_if;
static PyObject *__pyx_n_s_image;
static PyObject *__pyx_kp_u_image_is_2D;
static PyObject *__pyx_kp_u_image_is_3D;
static PyObject *__pyx_n_s_img_shape;
static PyObject *__pyx_n_s_import;
static PyObject *__pyx_n_s_indices;
static PyObject *__pyx_n_s_indptr;
static PyObject *__pyx_n_s_info;
static PyObject *__pyx_n_s_init;
static PyObject *__pyx_n_s_int32;
static PyObject *__pyx_n_s_int8;
static PyObject *__pyx_n_s_integrate_legacy;
static PyObject *__pyx_n_s_intercept;
static PyObject *__pyx_n_s_itemsize;
static PyObject *__pyx_kp_s_itemsize_0_for_cython_array;
static PyObject *__pyx_n_s_j;
static PyObject *__pyx_kp_u_jerome_kieffer_esrf_fr;
static PyObject *__pyx_n_s_join;
static PyObject *__pyx_n_s_k;
static PyObject *__pyx_n_u_kahan;
static PyObject *__pyx_n_s_kind;
static PyObject *__pyx_n_s_kwargs;
static PyObject *__pyx_n_s_l;
static PyObject *__pyx_n_s_large_data;
static PyObject *__pyx_n_s_large_size;
static PyObject *__pyx_n_s_lerr;
static PyObject *__pyx_n_s_license;
static PyObject *__pyx_n_s_lin;
static PyObject *__pyx_n_s_linesep;
static PyObject *__pyx_n_s_lmask;
static PyObject *__pyx_n_s_logger;
static PyObject *__pyx_n_s_logging;
static PyObject *__pyx_n_s_lout;
static PyObject *__pyx_n_s_lower;
static PyObject *__pyx_n_s_lprop;
static PyObject *__pyx_n_s_lshape0;
static PyObject *__pyx_n_s_lshape1;
static PyObject *__pyx_n_s_lut;
static PyObject *__pyx_n_u_lut;
static PyObject *__pyx_n_s_lut_d;
static PyObject *__pyx_n_s_lut_size;
static PyObject *__pyx_n_s_lut_total_size;
static PyObject *__pyx_n_s_main;
static PyObject *__pyx_n_s_major;
static PyObject *__pyx_kp_u_makes_little_sense_to_correct_fo;
static PyObject *__pyx_n_s_mask;
static PyObject *__pyx_n_s_mask_d;
static PyObject *__pyx_kp_u_mask_shape_dim0;
static PyObject *__pyx_kp_u_mask_shape_dim1;
static PyObject *__pyx_n_s_max;
static PyObject *__pyx_n_s_max0;
static PyObject *__pyx_n_s_max1;
static PyObject *__pyx_n_s_max_pixel_size;
static PyObject *__pyx_n_s_max_shape;
static PyObject *__pyx_n_u_max_shape;
static PyObject *__pyx_n_s_max_val;
static PyObject *__pyx_n_s_memview;
static PyObject *__pyx_n_s_merged;
static PyObject *__pyx_n_s_metaclass;
static PyObject *__pyx_n_s_method;
static PyObject *__pyx_n_s_min;
static PyObject *__pyx_n_s_min0;
static PyObject *__pyx_n_s_min1;
static PyObject *__pyx_n_s_min_val;
static PyObject *__pyx_n_s_ml;
static PyObject *__pyx_n_s_mode;
static PyObject *__pyx_n_s_module;
static PyObject *__pyx_n_s_ms;
static PyObject *__pyx_n_s_name;
static PyObject *__pyx_n_s_name_2;
static PyObject *__pyx_n_s_namedtuple;
static PyObject *__pyx_n_s_nb_corners;
static PyObject *__pyx_n_s_nbins;
static PyObject *__pyx_n_s_nbytes;
static PyObject *__pyx_n_s_nchan;
static PyObject *__pyx_kp_u_ndarray_is_not_C_contiguous;
static PyObject *__pyx_kp_u_ndarray_is_not_Fortran_contiguou;
static PyObject *__pyx_n_s_ndim;
static PyObject *__pyx_n_s_new;
static PyObject *__pyx_n_s_new_image;
static PyObject *__pyx_n_s_nl;
static PyObject *__pyx_kp_s_no_default___reduce___due_to_non;
static PyObject *__pyx_n_b_norm;
static PyObject *__pyx_n_u_norm;
static PyObject *__pyx_n_s_normalization_factor;
static PyObject *__pyx_n_s_ns;
static PyObject *__pyx_kp_u_number_of_elements_s_average_per;
static PyObject *__pyx_n_s_numpy;
static PyObject *__pyx_n_s_numpy_1_12_py2_bug;
static PyObject *__pyx_kp_u_numpy_core_multiarray_failed_to;
static PyObject *__pyx_kp_u_numpy_core_umath_failed_to_impor;
static PyObject *__pyx_n_s_obj;
static PyObject *__pyx_n_s_object;
static PyObject *__pyx_n_s_offset;
static PyObject *__pyx_n_s_offset0;
static PyObject *__pyx_n_s_offset1;
static PyObject *__pyx_n_s_os;
static PyObject *__pyx_n_s_out;
static PyObject *__pyx_n_s_outMax;
static PyObject *__pyx_n_s_p;
static PyObject *__pyx_n_s_p0;
static PyObject *__pyx_n_s_p1;
static PyObject *__pyx_n_s_pAB;
static PyObject *__pyx_n_s_pBC;
static PyObject *__pyx_n_s_pCD;
static PyObject *__pyx_n_s_pDA;
static PyObject *__pyx_n_s_pack;
static PyObject *__pyx_n_s_pickle;
static PyObject *__pyx_n_s_pixel1;
static PyObject *__pyx_n_s_pixel2;
static PyObject *__pyx_n_s_pixel_corners;
static PyObject *__pyx_n_s_pixel_count;
static PyObject *__pyx_n_s_polarization;
static PyObject *__pyx_kp_u_polarization_array_size;
static PyObject *__pyx_n_s_pos;
static PyObject *__pyx_n_s_pos0max;
static PyObject *__pyx_n_s_pos0min;
static PyObject *__pyx_n_s_pos1max;
static PyObject *__pyx_n_s_pos1min;
static PyObject *__pyx_n_s_pos_corners;
static PyObject *__pyx_n_s_position_d;
static PyObject *__pyx_n_s_prepare;
static PyObject *__pyx_n_s_preprocessed_data;
static PyObject *__pyx_n_s_print;
static PyObject *__pyx_n_s_prod;
static PyObject *__pyx_n_s_prop;
static PyObject *__pyx_n_s_prop_d;
static PyObject *__pyx_n_u_propagated;
static PyObject *__pyx_n_s_pyFAI_ext__distortion;
static PyObject *__pyx_kp_s_pyFAI_ext__distortion_pyx;
static PyObject *__pyx_kp_s_pyFAI_ext_sparse_common_pxi;
static PyObject *__pyx_n_s_pyx_PickleError;
static PyObject *__pyx_n_s_pyx_checksum;
static PyObject *__pyx_n_s_pyx_getbuffer;
static PyObject *__pyx_n_s_pyx_result;
static PyObject *__pyx_n_s_pyx_state;
static PyObject *__pyx_n_s_pyx_type;
static PyObject *__pyx_n_s_pyx_unpickle_Enum;
static PyObject *__pyx_n_s_pyx_vtable;
static PyObject *__pyx_n_s_qualname;
static PyObject *__pyx_n_s_range;
static PyObject *__pyx_n_s_ravel;
static PyObject *__pyx_n_s_recarray;
static PyObject *__pyx_n_s_records;
static PyObject *__pyx_n_s_reduce;
static PyObject *__pyx_n_s_reduce_cython;
static PyObject *__pyx_n_s_reduce_ex;
static PyObject *__pyx_n_s_repr;
static PyObject *__pyx_n_s_res;
static PyObject *__pyx_n_s_reshape;
static PyObject *__pyx_n_s_resize_image_2D;
static PyObject *__pyx_n_s_resize_image_3D;
static PyObject *__pyx_n_s_s;
static PyObject *__pyx_n_s_scipy_sparse;
static PyObject *__pyx_n_s_self;
static PyObject *__pyx_n_s_sem;
static PyObject *__pyx_n_s_set_matrix;
static PyObject *__pyx_n_s_setstate;
static PyObject *__pyx_n_s_setstate_cython;
static PyObject *__pyx_n_s_shape;
static PyObject *__pyx_n_s_shape0;
static PyObject *__pyx_n_s_shape1;
static PyObject *__pyx_n_s_shape_img0;
static PyObject *__pyx_n_s_shape_img1;
static PyObject *__pyx_n_s_shape_in;
static PyObject *__pyx_n_s_shape_in0;
static PyObject *__pyx_kp_u_shape_in0_mask_shape_0;
static PyObject *__pyx_n_s_shape_in1;
static PyObject *__pyx_kp_u_shape_in1_mask_shape_1;
static PyObject *__pyx_n_s_shape_out;
static PyObject *__pyx_n_s_shape_out0;
static PyObject *__pyx_kp_u_shape_out0_shape_out1_LUT_shape;
static PyObject *__pyx_kp_u_shape_out0_shape_out1_indptr_siz;
static PyObject *__pyx_n_s_shape_out1;
static PyObject *__pyx_n_b_signal;
static PyObject *__pyx_n_u_signal;
static PyObject *__pyx_n_s_signatures;
static PyObject *__pyx_n_s_six;
static PyObject *__pyx_n_s_size;
static PyObject *__pyx_n_s_size_in;
static PyObject *__pyx_n_s_slope;
static PyObject *__pyx_n_s_solidAngle;
static PyObject *__pyx_n_s_split;
static PyObject *__pyx_n_u_stable;
static PyObject *__pyx_n_s_start;
static PyObject *__pyx_n_s_status;
static PyObject *__pyx_n_s_step;
static PyObject *__pyx_n_s_stop;
static PyObject *__pyx_kp_s_strided_and_direct;
static PyObject *__pyx_kp_s_strided_and_direct_or_indirect;
static PyObject *__pyx_kp_s_strided_and_indirect;
static PyObject *__pyx_n_s_string_types;
static PyObject *__pyx_kp_s_stringsource;
static PyObject *__pyx_n_s_strip;
static PyObject *__pyx_n_s_struct;
static PyObject *__pyx_n_s_sum;
static PyObject *__pyx_n_s_sum_count;
static PyObject *__pyx_n_s_sum_data;
static PyObject *__pyx_n_s_sum_norm;
static PyObject *__pyx_n_s_sum_sig;
static PyObject *__pyx_n_s_sum_var;
static PyObject *__pyx_n_s_sys;
static PyObject *__pyx_n_s_t;
static PyObject *__pyx_n_s_tdata;
static PyObject *__pyx_n_s_test;
static PyObject *__pyx_n_s_third_party;
static PyObject *__pyx_n_s_threading;
static PyObject *__pyx_n_s_time;
static PyObject *__pyx_n_s_tmp;
static PyObject *__pyx_n_s_tmp_ary;
static PyObject *__pyx_n_s_tmp_index;
static PyObject *__pyx_n_s_to_csr;
static PyObject *__pyx_n_s_tot;
static PyObject *__pyx_n_s_total;
static PyObject *__pyx_n_s_types;
static PyObject *__pyx_kp_s_unable_to_allocate_array_data;
static PyObject *__pyx_kp_s_unable_to_allocate_shape_and_str;
static PyObject *__pyx_n_s_uncorrect;
static PyObject *__pyx_n_s_uncorrect_CSR;
static PyObject *__pyx_n_s_uncorrect_LUT;
static PyObject *__pyx_kp_u_unknown_dtype_code_in_numpy_pxd;
static PyObject *__pyx_n_s_unpack;
static PyObject *__pyx_n_s_update;
static PyObject *__pyx_n_s_utils;
static PyObject *__pyx_n_s_val;
static PyObject *__pyx_n_s_value;
static PyObject *__pyx_n_b_variance;
static PyObject *__pyx_n_s_variance;
static PyObject *__pyx_n_u_variance;
static PyObject *__pyx_n_s_version;
static PyObject *__pyx_n_s_version_info;
static PyObject *__pyx_n_s_view;
static PyObject *__pyx_n_s_warning;
static PyObject *__pyx_n_s_weights;
static PyObject *__pyx_kp_u_weights_size;
static PyObject *__pyx_n_s_y;
static PyObject *__pyx_n_s_zeros;
static PyObject *__pyx_pf_5pyFAI_3ext_11_distortion_15CsrIntegrator2d___init__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, int __pyx_v_size, PyObject *__pyx_v_lut, __pyx_t_5pyFAI_3ext_11_distortion_data_t __pyx_v_empty, PyObject *__pyx_v_bin_centers0, PyObject *__pyx_v_bin_centers1); /* proto */
static PyObject *__pyx_pf_5pyFAI_3ext_11_distortion_15CsrIntegrator2d_2set_matrix(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, __Pyx_memviewslice __pyx_v_data, __Pyx_memviewslice __pyx_v_indices, __Pyx_memviewslice __pyx_v_indptr); /* proto */
static PyObject *__pyx_pf_5pyFAI_3ext_11_distortion_15CsrIntegrator2d_4integrate_legacy(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_weights, PyObject *__pyx_v_dummy, PyObject *__pyx_v_delta_dummy, PyObject *__pyx_v_dark, PyObject *__pyx_v_flat, PyObject *__pyx_v_solidAngle, PyObject *__pyx_v_polarization, double __pyx_v_normalization_factor, int __pyx_v_coef_power); /* proto */
static PyObject *__pyx_pf_5pyFAI_3ext_11_distortion_calc_area(CYTHON_UNUSED PyObject *__pyx_self, float __pyx_v_I1, float __pyx_v_I2, float __pyx_v_slope, float __pyx_v_intercept); /* proto */
static PyObject *__pyx_pf_5pyFAI_3ext_11_distortion_2clip(CYTHON_UNUSED PyObject *__pyx_self, int __pyx_v_value, int __pyx_v_min_val, int __pyx_v_max_val); /* proto */
static PyObject *__pyx_pf_5pyFAI_3ext_11_distortion_4calc_pos(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_signatures, PyObject *__pyx_v_args, PyObject *__pyx_v_kwargs, CYTHON_UNUSED PyObject *__pyx_v_defaults); /* proto */
static PyObject *__pyx_pf_5pyFAI_3ext_11_distortion_58__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_5pyFAI_3ext_11_distortion_42calc_pos(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_pixel_corners, float __pyx_v_pixel1, float __pyx_v_pixel2, PyObject *__pyx_v_shape_out); /* proto */
static PyObject *__pyx_pf_5pyFAI_3ext_11_distortion_60__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_5pyFAI_3ext_11_distortion_44calc_pos(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_pixel_corners, float __pyx_v_pixel1, float __pyx_v_pixel2, PyObject *__pyx_v_shape_out); /* proto */
static PyObject *__pyx_pf_5pyFAI_3ext_11_distortion_6calc_size(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_signatures, PyObject *__pyx_v_args, PyObject *__pyx_v_kwargs, CYTHON_UNUSED PyObject *__pyx_v_defaults); /* proto */
static PyObject *__pyx_pf_5pyFAI_3ext_11_distortion_66__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_5pyFAI_3ext_11_distortion_48calc_size(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_pos, PyObject *__pyx_v_shape, __Pyx_memviewslice __pyx_v_mask, PyObject *__pyx_v_offset); /* proto */
static PyObject *__pyx_pf_5pyFAI_3ext_11_distortion_68__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_5pyFAI_3ext_11_distortion_50calc_size(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_pos, PyObject *__pyx_v_shape, __Pyx_memviewslice __pyx_v_mask, PyObject *__pyx_v_offset); /* proto */
static PyObject *__pyx_pf_5pyFAI_3ext_11_distortion_8calc_LUT(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_pos, PyObject *__pyx_v_shape, PyObject *__pyx_v_bin_size, PyObject *__pyx_v_max_pixel_size, __Pyx_memviewslice __pyx_v_mask); /* proto */
static PyObject *__pyx_pf_5pyFAI_3ext_11_distortion_10calc_CSR(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_pos, PyObject *__pyx_v_shape, PyObject *__pyx_v_bin_size, PyObject *__pyx_v_max_pixel_size, __Pyx_memviewslice __pyx_v_mask); /* proto */
static PyObject *__pyx_pf_5pyFAI_3ext_11_distortion_12calc_sparse(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_pos, PyObject *__pyx_v_shape, PyObject *__pyx_v_max_pixel_size, __Pyx_memviewslice __pyx_v_mask, PyObject *__pyx_v_format, int __pyx_v_bins_per_pixel); /* proto */
static PyObject *__pyx_pf_5pyFAI_3ext_11_distortion_14calc_sparse_v2(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_pos, PyObject *__pyx_v_shape, PyObject *__pyx_v_max_pixel_size, __Pyx_memviewslice __pyx_v_mask, PyObject *__pyx_v_format, int __pyx_v_bins_per_pixel, PyObject *__pyx_v_builder_config); /* proto */
static PyObject *__pyx_pf_5pyFAI_3ext_11_distortion_16resize_image_2D(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_image, PyObject *__pyx_v_shape); /* proto */
static PyObject *__pyx_pf_5pyFAI_3ext_11_distortion_18resize_image_3D(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_image, PyObject *__pyx_v_shape); /* proto */
static PyObject *__pyx_pf_5pyFAI_3ext_11_distortion_20correct(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_image, PyObject *__pyx_v_shape_in, PyObject *__pyx_v_shape_out, PyObject *__pyx_v_LUT, PyObject *__pyx_v_dummy, PyObject *__pyx_v_delta_dummy, PyObject *__pyx_v_method); /* proto */
static PyObject *__pyx_pf_5pyFAI_3ext_11_distortion_22correct_LUT(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_image, PyObject *__pyx_v_shape_in, PyObject *__pyx_v_shape_out, __Pyx_memviewslice __pyx_v_LUT, PyObject *__pyx_v_dummy, PyObject *__pyx_v_delta_dummy, PyObject *__pyx_v_method); /* proto */
static PyObject *__pyx_pf_5pyFAI_3ext_11_distortion_24correct_LUT_kahan(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_image, PyObject *__pyx_v_shape_out, __Pyx_memviewslice __pyx_v_LUT, PyObject *__pyx_v_dummy, PyObject *__pyx_v_delta_dummy); /* proto */
static PyObject *__pyx_pf_5pyFAI_3ext_11_distortion_26correct_LUT_double(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_image, PyObject *__pyx_v_shape_out, __Pyx_memviewslice __pyx_v_LUT, PyObject *__pyx_v_dummy, PyObject *__pyx_v_delta_dummy); /* proto */
static PyObject *__pyx_pf_5pyFAI_3ext_11_distortion_28correct_CSR(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_image, PyObject *__pyx_v_shape_in, PyObject *__pyx_v_shape_out, PyObject *__pyx_v_LUT, PyObject *__pyx_v_dummy, PyObject *__pyx_v_delta_dummy, CYTHON_UNUSED PyObject *__pyx_v_variance, PyObject *__pyx_v_method); /* proto */
static PyObject *__pyx_pf_5pyFAI_3ext_11_distortion_30correct_CSR_kahan(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_image, PyObject *__pyx_v_shape_out, PyObject *__pyx_v_LUT, PyObject *__pyx_v_dummy, PyObject *__pyx_v_delta_dummy); /* proto */
static PyObject *__pyx_pf_5pyFAI_3ext_11_distortion_32correct_CSR_double(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_image, PyObject *__pyx_v_shape_out, PyObject *__pyx_v_LUT, PyObject *__pyx_v_dummy, PyObject *__pyx_v_delta_dummy); /* proto */
static PyObject *__pyx_pf_5pyFAI_3ext_11_distortion_34correct_LUT_preproc_double(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_image, PyObject *__pyx_v_shape_out, __Pyx_memviewslice __pyx_v_LUT, PyObject *__pyx_v_dummy, PyObject *__pyx_v_delta_dummy, PyObject *__pyx_v_empty); /* proto */
static PyObject *__pyx_pf_5pyFAI_3ext_11_distortion_36correct_CSR_preproc_double(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_image, PyObject *__pyx_v_shape_out, PyObject *__pyx_v_LUT, PyObject *__pyx_v_dummy, PyObject *__pyx_v_delta_dummy, CYTHON_UNUSED PyObject *__pyx_v_empty); /* proto */
static PyObject *__pyx_pf_5pyFAI_3ext_11_distortion_38uncorrect_LUT(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_image, PyObject *__pyx_v_shape, __Pyx_memviewslice __pyx_v_LUT); /* proto */
static PyObject *__pyx_pf_5pyFAI_3ext_11_distortion_40uncorrect_CSR(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_image, PyObject *__pyx_v_shape, PyObject *__pyx_v_LUT); /* proto */
static PyObject *__pyx_pf_5pyFAI_3ext_11_distortion_10Distortion___init__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_detector, PyObject *__pyx_v_shape); /* proto */
static PyObject *__pyx_pf_5pyFAI_3ext_11_distortion_10Distortion_2__repr__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5pyFAI_3ext_11_distortion_10Distortion_4calc_pos(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5pyFAI_3ext_11_distortion_10Distortion_6calc_LUT_size(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5pyFAI_3ext_11_distortion_10Distortion_8calc_LUT(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5pyFAI_3ext_11_distortion_10Distortion_10correct(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_image); /* proto */
static PyObject *__pyx_pf_5pyFAI_3ext_11_distortion_10Distortion_12uncorrect(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_image); /* proto */
static int __pyx_pf_5numpy_7ndarray___getbuffer__(PyArrayObject *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /* proto */
static void __pyx_pf_5numpy_7ndarray_2__releasebuffer__(PyArrayObject *__pyx_v_self, Py_buffer *__pyx_v_info); /* proto */
static int __pyx_array___pyx_pf_15View_dot_MemoryView_5array___cinit__(struct __pyx_array_obj *__pyx_v_self, PyObject *__pyx_v_shape, Py_ssize_t __pyx_v_itemsize, PyObject *__pyx_v_format, PyObject *__pyx_v_mode, int __pyx_v_allocate_buffer); /* proto */
static int __pyx_array___pyx_pf_15View_dot_MemoryView_5array_2__getbuffer__(struct __pyx_array_obj *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /* proto */
static void __pyx_array___pyx_pf_15View_dot_MemoryView_5array_4__dealloc__(struct __pyx_array_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_5array_7memview___get__(struct __pyx_array_obj *__pyx_v_self); /* proto */
static Py_ssize_t __pyx_array___pyx_pf_15View_dot_MemoryView_5array_6__len__(struct __pyx_array_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_array___pyx_pf_15View_dot_MemoryView_5array_8__getattr__(struct __pyx_array_obj *__pyx_v_self, PyObject *__pyx_v_attr); /* proto */
static PyObject *__pyx_array___pyx_pf_15View_dot_MemoryView_5array_10__getitem__(struct __pyx_array_obj *__pyx_v_self, PyObject *__pyx_v_item); /* proto */
static int __pyx_array___pyx_pf_15View_dot_MemoryView_5array_12__setitem__(struct __pyx_array_obj *__pyx_v_self, PyObject *__pyx_v_item, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf___pyx_array___reduce_cython__(CYTHON_UNUSED struct __pyx_array_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf___pyx_array_2__setstate_cython__(CYTHON_UNUSED struct __pyx_array_obj *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_MemviewEnum___pyx_pf_15View_dot_MemoryView_4Enum___init__(struct __pyx_MemviewEnum_obj *__pyx_v_self, PyObject *__pyx_v_name); /* proto */
static PyObject *__pyx_MemviewEnum___pyx_pf_15View_dot_MemoryView_4Enum_2__repr__(struct __pyx_MemviewEnum_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf___pyx_MemviewEnum___reduce_cython__(struct __pyx_MemviewEnum_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf___pyx_MemviewEnum_2__setstate_cython__(struct __pyx_MemviewEnum_obj *__pyx_v_self, PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview___cinit__(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_obj, int __pyx_v_flags, int __pyx_v_dtype_is_object); /* proto */
static void __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_2__dealloc__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_4__getitem__(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_index); /* proto */
static int __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_6__setitem__(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_index, PyObject *__pyx_v_value); /* proto */
static int __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_8__getbuffer__(struct __pyx_memoryview_obj *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_1T___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_4base___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_5shape___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_7strides___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_10suboffsets___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_4ndim___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_8itemsize___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_6nbytes___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_4size___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static Py_ssize_t __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_10__len__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_12__repr__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_14__str__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_16is_c_contig(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_18is_f_contig(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_20copy(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_22copy_fortran(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf___pyx_memoryview___reduce_cython__(CYTHON_UNUSED struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf___pyx_memoryview_2__setstate_cython__(CYTHON_UNUSED struct __pyx_memoryview_obj *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static void __pyx_memoryviewslice___pyx_pf_15View_dot_MemoryView_16_memoryviewslice___dealloc__(struct __pyx_memoryviewslice_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_16_memoryviewslice_4base___get__(struct __pyx_memoryviewslice_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf___pyx_memoryviewslice___reduce_cython__(CYTHON_UNUSED struct __pyx_memoryviewslice_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf___pyx_memoryviewslice_2__setstate_cython__(CYTHON_UNUSED struct __pyx_memoryviewslice_obj *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView___pyx_unpickle_Enum(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v___pyx_type, long __pyx_v___pyx_checksum, PyObject *__pyx_v___pyx_state); /* proto */
static PyObject *__pyx_tp_new_array(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_Enum(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_memoryview(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new__memoryviewslice(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_float_0_0;
static PyObject *__pyx_float_0_5;
static PyObject *__pyx_float_1_0;
static PyObject *__pyx_float_1e6;
static PyObject *__pyx_float_1_0e6;
static PyObject *__pyx_int_0;
static PyObject *__pyx_int_1;
static PyObject *__pyx_int_2;
static PyObject *__pyx_int_3;
static PyObject *__pyx_int_4;
static PyObject *__pyx_int_6;
static PyObject *__pyx_int_7;
static PyObject *__pyx_int_8;
static PyObject *__pyx_int_12;
static PyObject *__pyx_int_184977713;
static PyObject *__pyx_int_neg_1;
static PyObject *__pyx_k_;
static PyObject *__pyx_k__8;
static PyObject *__pyx_k__9;
static __Pyx_memviewslice __pyx_k__12;
static __Pyx_memviewslice __pyx_k__14;
static __Pyx_memviewslice __pyx_k__16;
static __Pyx_memviewslice __pyx_k__17;
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static float __pyx_k__73;
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static __pyx_t_5numpy_uint8_t __pyx_k__79;
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static int __pyx_k__82;
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static __pyx_t_5numpy_uint16_t __pyx_k__91;
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static int __pyx_k__118;
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static float __pyx_k__121;
static float __pyx_k__122;
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static float __pyx_k__128;
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static float __pyx_k__133;
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static __pyx_t_5numpy_int16_t __pyx_k__139;
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static __pyx_t_5numpy_int32_t __pyx_k__151;
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/* Late includes */

/* "pyFAI/ext/regrid_common.pxi":223
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 *     out_data[bin0, bin1, 0] += value.signal * weight
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                        for (__pyx_t_13 = 0; __pyx_t_13 < __pyx_t_14; __pyx_t_13++){
                            if (__pyx_parallel_why < 2)
                            {
                                __pyx_v_i = (__pyx_t_5numpy_int32_t)(0 + 1 * __pyx_t_13);
                                /* Initialize private variables to invalid values */
                                __pyx_v_data = ((__pyx_t_5pyFAI_3ext_11_distortion_data_t)__PYX_NAN());

                                /* "pyFAI/ext/sparse_common.pxi":198
 *             if do_dummy:
 *                 for i in prange(size, nogil=True, schedule="static"):
 *                     data = tdata[i]             # <<<<<<<<<<<<<<
 *                     if ((cddummy != 0) and (fabs(data - cdummy) > cddummy)) or ((cddummy == 0) and (data != cdummy)):
 *                         # Nota: -= and /= operatore are seen as reduction in cython parallel.
 */
                                __pyx_t_15 = __pyx_v_i;
                                __pyx_v_data = (*((__pyx_t_5pyFAI_3ext_11_distortion_data_t *) ( /* dim=0 */ ((char *) (((__pyx_t_5pyFAI_3ext_11_distortion_data_t *) __pyx_v_tdata.data) + __pyx_t_15)) )));

                                /* "pyFAI/ext/sparse_common.pxi":199
 *                 for i in prange(size, nogil=True, schedule="static"):
 *                     data = tdata[i]
 *                     if ((cddummy != 0) and (fabs(data - cdummy) > cddummy)) or ((cddummy == 0) and (data != cdummy)):             # <<<<<<<<<<<<<<
 *                         # Nota: -= and /= operatore are seen as reduction in cython parallel.
 *                         if do_dark:
 */
                                __pyx_t_10 = ((__pyx_v_cddummy != 0.0) != 0);
                                if (!__pyx_t_10) {
                                  goto __pyx_L20_next_or;
                                } else {
                                }
                                __pyx_t_10 = ((fabs((__pyx_v_data - __pyx_v_cdummy)) > __pyx_v_cddummy) != 0);
                                if (!__pyx_t_10) {
                                } else {
                                  __pyx_t_9 = __pyx_t_10;
                                  goto __pyx_L19_bool_binop_done;
                                }
                                __pyx_L20_next_or:;
                                __pyx_t_10 = ((__pyx_v_cddummy == 0.0) != 0);
                                if (__pyx_t_10) {
                                } else {
                                  __pyx_t_9 = __pyx_t_10;
                                  goto __pyx_L19_bool_binop_done;
                                }
                                __pyx_t_10 = ((__pyx_v_data != __pyx_v_cdummy) != 0);
                                __pyx_t_9 = __pyx_t_10;
                                __pyx_L19_bool_binop_done:;
                                if (__pyx_t_9) {

                                  /* "pyFAI/ext/sparse_common.pxi":201
 *                     if ((cddummy != 0) and (fabs(data - cdummy) > cddummy)) or ((cddummy == 0) and (data != cdummy)):
 *                         # Nota: -= and /= operatore are seen as reduction in cython parallel.
 *                         if do_dark:             # <<<<<<<<<<<<<<
 *                             data = data - cdark[i]
 *                         if do_flat:
 */
                                  __pyx_t_9 = (__pyx_v_do_dark != 0);
                                  if (__pyx_t_9) {

                                    /* "pyFAI/ext/sparse_common.pxi":202
 *                         # Nota: -= and /= operatore are seen as reduction in cython parallel.
 *                         if do_dark:
 *                             data = data - cdark[i]             # <<<<<<<<<<<<<<
 *                         if do_flat:
 *                             data = data / cflat[i]
 */
                                    if (unlikely(!__pyx_v_cdark.memview)) { __Pyx_RaiseUnboundMemoryviewSliceNogil("cdark"); __PYX_ERR(0, 202, __pyx_L16_error) }
                                    __pyx_t_16 = __pyx_v_i;
                                    __pyx_v_data = (__pyx_v_data - (*((__pyx_t_5pyFAI_3ext_11_distortion_data_t *) ( /* dim=0 */ ((char *) (((__pyx_t_5pyFAI_3ext_11_distortion_data_t *) __pyx_v_cdark.data) + __pyx_t_16)) ))));

                                    /* "pyFAI/ext/sparse_common.pxi":201
 *                     if ((cddummy != 0) and (fabs(data - cdummy) > cddummy)) or ((cddummy == 0) and (data != cdummy)):
 *                         # Nota: -= and /= operatore are seen as reduction in cython parallel.
 *                         if do_dark:             # <<<<<<<<<<<<<<
 *                             data = data - cdark[i]
 *                         if do_flat:
 */
                                  }

                                  /* "pyFAI/ext/sparse_common.pxi":203
 *                         if do_dark:
 *                             data = data - cdark[i]
 *                         if do_flat:             # <<<<<<<<<<<<<<
 *                             data = data / cflat[i]
 *                         if do_polarization:
 */
                                  __pyx_t_9 = (__pyx_v_do_flat != 0);
                                  if (__pyx_t_9) {

                                    /* "pyFAI/ext/sparse_common.pxi":204
 *                             data = data - cdark[i]
 *                         if do_flat:
 *                             data = data / cflat[i]             # <<<<<<<<<<<<<<
 *                         if do_polarization:
 *                             data = data / cpolarization[i]
 */
                                    if (unlikely(!__pyx_v_cflat.memview)) { __Pyx_RaiseUnboundMemoryviewSliceNogil("cflat"); __PYX_ERR(0, 204, __pyx_L16_error) }
                                    __pyx_t_17 = __pyx_v_i;
                                    __pyx_v_data = (__pyx_v_data / (*((__pyx_t_5pyFAI_3ext_11_distortion_data_t *) ( /* dim=0 */ ((char *) (((__pyx_t_5pyFAI_3ext_11_distortion_data_t *) __pyx_v_cflat.data) + __pyx_t_17)) ))));

                                    /* "pyFAI/ext/sparse_common.pxi":203
 *                         if do_dark:
 *                             data = data - cdark[i]
 *                         if do_flat:             # <<<<<<<<<<<<<<
 *                             data = data / cflat[i]
 *                         if do_polarization:
 */
                                  }

                                  /* "pyFAI/ext/sparse_common.pxi":205
 *                         if do_flat:
 *                             data = data / cflat[i]
 *                         if do_polarization:             # <<<<<<<<<<<<<<
 *                             data = data / cpolarization[i]
 *                         if do_solidAngle:
 */
                                  __pyx_t_9 = (__pyx_v_do_polarization != 0);
                                  if (__pyx_t_9) {

                                    /* "pyFAI/ext/sparse_common.pxi":206
 *                             data = data / cflat[i]
 *                         if do_polarization:
 *                             data = data / cpolarization[i]             # <<<<<<<<<<<<<<
 *                         if do_solidAngle:
 *                             data = data / csolidAngle[i]
 */
                                    if (unlikely(!__pyx_v_cpolarization.memview)) { __Pyx_RaiseUnboundMemoryviewSliceNogil("cpolarization"); __PYX_ERR(0, 206, __pyx_L16_error) }
                                    __pyx_t_18 = __pyx_v_i;
                                    __pyx_v_data = (__pyx_v_data / (*((__pyx_t_5pyFAI_3ext_11_distortion_data_t *) ( /* dim=0 */ ((char *) (((__pyx_t_5pyFAI_3ext_11_distortion_data_t *) __pyx_v_cpolarization.data) + __pyx_t_18)) ))));

                                    /* "pyFAI/ext/sparse_common.pxi":205
 *                         if do_flat:
 *                             data = data / cflat[i]
 *                         if do_polarization:             # <<<<<<<<<<<<<<
 *                             data = data / cpolarization[i]
 *                         if do_solidAngle:
 */
                                  }

                                  /* "pyFAI/ext/sparse_common.pxi":207
 *                         if do_polarization:
 *                             data = data / cpolarization[i]
 *                         if do_solidAngle:             # <<<<<<<<<<<<<<
 *                             data = data / csolidAngle[i]
 *                         cdata[i] += data
 */
                                  __pyx_t_9 = (__pyx_v_do_solidAngle != 0);
                                  if (__pyx_t_9) {

                                    /* "pyFAI/ext/sparse_common.pxi":208
 *                             data = data / cpolarization[i]
 *                         if do_solidAngle:
 *                             data = data / csolidAngle[i]             # <<<<<<<<<<<<<<
 *                         cdata[i] += data
 *                     else:  # set all dummy_like values to cdummy. simplifies further processing
 */
                                    if (unlikely(!__pyx_v_csolidAngle.memview)) { __Pyx_RaiseUnboundMemoryviewSliceNogil("csolidAngle"); __PYX_ERR(0, 208, __pyx_L16_error) }
                                    __pyx_t_19 = __pyx_v_i;
                                    __pyx_v_data = (__pyx_v_data / (*((__pyx_t_5pyFAI_3ext_11_distortion_data_t *) ( /* dim=0 */ ((char *) (((__pyx_t_5pyFAI_3ext_11_distortion_data_t *) __pyx_v_csolidAngle.data) + __pyx_t_19)) ))));

                                    /* "pyFAI/ext/sparse_common.pxi":207
 *                         if do_polarization:
 *                             data = data / cpolarization[i]
 *                         if do_solidAngle:             # <<<<<<<<<<<<<<
 *                             data = data / csolidAngle[i]
 *                         cdata[i] += data
 */
                                  }

                                  /* "pyFAI/ext/sparse_common.pxi":209
 *                         if do_solidAngle:
 *                             data = data / csolidAngle[i]
 *                         cdata[i] += data             # <<<<<<<<<<<<<<
 *                     else:  # set all dummy_like values to cdummy. simplifies further processing
 *                         cdata[i] += cdummy
 */
                                  __pyx_t_20 = __pyx_v_i;
                                  *((__pyx_t_5pyFAI_3ext_11_distortion_data_t *) ( /* dim=0 */ ((char *) (((__pyx_t_5pyFAI_3ext_11_distortion_data_t *) __pyx_v_cdata.data) + __pyx_t_20)) )) += __pyx_v_data;

                                  /* "pyFAI/ext/sparse_common.pxi":199
 *                 for i in prange(size, nogil=True, schedule="static"):
 *                     data = tdata[i]
 *                     if ((cddummy != 0) and (fabs(data - cdummy) > cddummy)) or ((cddummy == 0) and (data != cdummy)):             # <<<<<<<<<<<<<<
 *                         # Nota: -= and /= operatore are seen as reduction in cython parallel.
 *                         if do_dark:
 */
                                  goto __pyx_L18;
                                }

                                /* "pyFAI/ext/sparse_common.pxi":211
 *                         cdata[i] += data
 *                     else:  # set all dummy_like values to cdummy. simplifies further processing
 *                         cdata[i] += cdummy             # <<<<<<<<<<<<<<
 *             else:
 *                 for i in prange(size, nogil=True, schedule="static"):
 */
                                /*else*/ {
                                  __pyx_t_21 = __pyx_v_i;
                                  *((__pyx_t_5pyFAI_3ext_11_distortion_data_t *) ( /* dim=0 */ ((char *) (((__pyx_t_5pyFAI_3ext_11_distortion_data_t *) __pyx_v_cdata.data) + __pyx_t_21)) )) += __pyx_v_cdummy;
                                }
                                __pyx_L18:;
                                goto __pyx_L28;
                                __pyx_L16_error:;
                                {
                                    #ifdef WITH_THREAD
                                    PyGILState_STATE __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
                                    #endif
                                    #ifdef _OPENMP
                                    #pragma omp flush(__pyx_parallel_exc_type)
                                    #endif /* _OPENMP */
                                    if (!__pyx_parallel_exc_type) {
                                      __Pyx_ErrFetchWithState(&__pyx_parallel_exc_type, &__pyx_parallel_exc_value, &__pyx_parallel_exc_tb);
                                      __pyx_parallel_filename = __pyx_filename; __pyx_parallel_lineno = __pyx_lineno; __pyx_parallel_clineno = __pyx_clineno;
                                      __Pyx_GOTREF(__pyx_parallel_exc_type);
                                    }
                                    #ifdef WITH_THREAD
                                    __Pyx_PyGILState_Release(__pyx_gilstate_save);
                                    #endif
                                }
                                __pyx_parallel_why = 4;
                                goto __pyx_L27;
                                __pyx_L27:;
                                #ifdef _OPENMP
                                #pragma omp critical(__pyx_parallel_lastprivates0)
                                #endif /* _OPENMP */
                                {
                                    __pyx_parallel_temp0 = __pyx_v_data;
                                    __pyx_parallel_temp1 = __pyx_v_i;
                                }
                                __pyx_L28:;
                                #ifdef _OPENMP
                                #pragma omp flush(__pyx_parallel_why)
                                #endif /* _OPENMP */
                            }
                        }
                        #ifdef _OPENMP
                        Py_END_ALLOW_THREADS
                        #else
{
#ifdef WITH_THREAD
                        PyGILState_STATE __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
                        #endif
                        #endif /* _OPENMP */
                        /* Clean up any temporaries */
                        #ifdef WITH_THREAD
                        __Pyx_PyGILState_Release(__pyx_gilstate_save);
                        #endif
                        #ifndef _OPENMP
}
#endif /* _OPENMP */
                    }
                }
                if (__pyx_parallel_exc_type) {
                  /* This may have been overridden by a continue, break or return in another thread. Prefer the error. */
                  __pyx_parallel_why = 4;
                }
                if (__pyx_parallel_why) {
                  __pyx_v_data = __pyx_parallel_temp0;
                  __pyx_v_i = __pyx_parallel_temp1;
                  switch (__pyx_parallel_why) {
                        case 4:
                    {
                        #ifdef WITH_THREAD
                        PyGILState_STATE __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
                        #endif
                        __Pyx_GIVEREF(__pyx_parallel_exc_type);
                        __Pyx_ErrRestoreWithState(__pyx_parallel_exc_type, __pyx_parallel_exc_value, __pyx_parallel_exc_tb);
                        __pyx_filename = __pyx_parallel_filename; __pyx_lineno = __pyx_parallel_lineno; __pyx_clineno = __pyx_parallel_clineno;
                        #ifdef WITH_THREAD
                        __Pyx_PyGILState_Release(__pyx_gilstate_save);
                        #endif
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                    goto __pyx_L12_error;
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                }
            }
            #if ((defined(__APPLE__) || defined(__OSX__)) && (defined(__GNUC__) && (__GNUC__ > 2 || (__GNUC__ == 2 && (__GNUC_MINOR__ > 95)))))
                #undef likely
                #undef unlikely
                #define likely(x)   __builtin_expect(!!(x), 1)
                #define unlikely(x) __builtin_expect(!!(x), 0)
            #endif
          }

          /* "pyFAI/ext/sparse_common.pxi":197
 *             cdata = numpy.zeros(size, dtype=data_d)
 *             if do_dummy:
 *                 for i in prange(size, nogil=True, schedule="static"):             # <<<<<<<<<<<<<<
 *                     data = tdata[i]
 *                     if ((cddummy != 0) and (fabs(data - cdummy) > cddummy)) or ((cddummy == 0) and (data != cdummy)):
 */
          /*finally:*/ {
            /*normal exit:*/{
              #ifdef WITH_THREAD
              __Pyx_FastGIL_Forget();
              Py_BLOCK_THREADS
              #endif
              goto __pyx_L13;
            }
            __pyx_L12_error: {
              #ifdef WITH_THREAD
              __Pyx_FastGIL_Forget();
              Py_BLOCK_THREADS
              #endif
              goto __pyx_L1_error;
            }
            __pyx_L13:;
          }
      }

      /* "pyFAI/ext/sparse_common.pxi":196
 *             tdata = numpy.ascontiguousarray(weights.ravel(), dtype=data_d)
 *             cdata = numpy.zeros(size, dtype=data_d)
 *             if do_dummy:             # <<<<<<<<<<<<<<
 *                 for i in prange(size, nogil=True, schedule="static"):
 *                     data = tdata[i]
 */
      goto __pyx_L10;
    }

    /* "pyFAI/ext/sparse_common.pxi":213
 *                         cdata[i] += cdummy
 *             else:
 *                 for i in prange(size, nogil=True, schedule="static"):             # <<<<<<<<<<<<<<
 *                     data = tdata[i]
 *                     if do_dark:
 */
    /*else*/ {
      {
          #ifdef WITH_THREAD
          PyThreadState *_save;
          Py_UNBLOCK_THREADS
          __Pyx_FastGIL_Remember();
          #endif
          /*try:*/ {
            __pyx_t_14 = __pyx_v_size;
            if (1 == 0) abort();
            {
                __pyx_t_5pyFAI_3ext_11_distortion_data_t __pyx_parallel_temp0 = ((__pyx_t_5pyFAI_3ext_11_distortion_data_t)__PYX_NAN());
                __pyx_t_5numpy_int32_t __pyx_parallel_temp1 = ((__pyx_t_5numpy_int32_t)0xbad0bad0);
                const char *__pyx_parallel_filename = NULL; int __pyx_parallel_lineno = 0, __pyx_parallel_clineno = 0;
                PyObject *__pyx_parallel_exc_type = NULL, *__pyx_parallel_exc_value = NULL, *__pyx_parallel_exc_tb = NULL;
                int __pyx_parallel_why;
                __pyx_parallel_why = 0;
                #if ((defined(__APPLE__) || defined(__OSX__)) && (defined(__GNUC__) && (__GNUC__ > 2 || (__GNUC__ == 2 && (__GNUC_MINOR__ > 95)))))
                    #undef likely
                    #undef unlikely
                    #define likely(x)   (x)
                    #define unlikely(x) (x)
                #endif
                __pyx_t_2 = (__pyx_t_14 - 0 + 1 - 1/abs(1)) / 1;
                if (__pyx_t_2 > 0)
                {
                    #ifdef _OPENMP
                    #pragma omp parallel private(__pyx_t_22, __pyx_t_23, __pyx_t_24, __pyx_t_25, __pyx_t_26, __pyx_t_27, __pyx_t_9) private(__pyx_filename, __pyx_lineno, __pyx_clineno) shared(__pyx_parallel_why, __pyx_parallel_exc_type, __pyx_parallel_exc_value, __pyx_parallel_exc_tb)
                    #endif /* _OPENMP */
                    {
                        #ifdef _OPENMP
                        #ifdef WITH_THREAD
                        PyGILState_STATE __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
                        #endif
                        Py_BEGIN_ALLOW_THREADS
                        #endif /* _OPENMP */
                        #ifdef _OPENMP
                        #pragma omp for lastprivate(__pyx_v_data) firstprivate(__pyx_v_i) lastprivate(__pyx_v_i) schedule(static)
                        #endif /* _OPENMP */
                        for (__pyx_t_13 = 0; __pyx_t_13 < __pyx_t_2; __pyx_t_13++){
                            if (__pyx_parallel_why < 2)
                            {
                                __pyx_v_i = (__pyx_t_5numpy_int32_t)(0 + 1 * __pyx_t_13);
                                /* Initialize private variables to invalid values */
                                __pyx_v_data = ((__pyx_t_5pyFAI_3ext_11_distortion_data_t)__PYX_NAN());

                                /* "pyFAI/ext/sparse_common.pxi":214
 *             else:
 *                 for i in prange(size, nogil=True, schedule="static"):
 *                     data = tdata[i]             # <<<<<<<<<<<<<<
 *                     if do_dark:
 *                         data = data - cdark[i]
 */
                                __pyx_t_22 = __pyx_v_i;
                                __pyx_v_data = (*((__pyx_t_5pyFAI_3ext_11_distortion_data_t *) ( /* dim=0 */ ((char *) (((__pyx_t_5pyFAI_3ext_11_distortion_data_t *) __pyx_v_tdata.data) + __pyx_t_22)) )));

                                /* "pyFAI/ext/sparse_common.pxi":215
 *                 for i in prange(size, nogil=True, schedule="static"):
 *                     data = tdata[i]
 *                     if do_dark:             # <<<<<<<<<<<<<<
 *                         data = data - cdark[i]
 *                     if do_flat:
 */
                                __pyx_t_9 = (__pyx_v_do_dark != 0);
                                if (__pyx_t_9) {

                                  /* "pyFAI/ext/sparse_common.pxi":216
 *                     data = tdata[i]
 *                     if do_dark:
 *                         data = data - cdark[i]             # <<<<<<<<<<<<<<
 *                     if do_flat:
 *                         data = data / cflat[i]
 */
                                  if (unlikely(!__pyx_v_cdark.memview)) { __Pyx_RaiseUnboundMemoryviewSliceNogil("cdark"); __PYX_ERR(0, 216, __pyx_L34_error) }
                                  __pyx_t_23 = __pyx_v_i;
                                  __pyx_v_data = (__pyx_v_data - (*((__pyx_t_5pyFAI_3ext_11_distortion_data_t *) ( /* dim=0 */ ((char *) (((__pyx_t_5pyFAI_3ext_11_distortion_data_t *) __pyx_v_cdark.data) + __pyx_t_23)) ))));

                                  /* "pyFAI/ext/sparse_common.pxi":215
 *                 for i in prange(size, nogil=True, schedule="static"):
 *                     data = tdata[i]
 *                     if do_dark:             # <<<<<<<<<<<<<<
 *                         data = data - cdark[i]
 *                     if do_flat:
 */
                                }

                                /* "pyFAI/ext/sparse_common.pxi":217
 *                     if do_dark:
 *                         data = data - cdark[i]
 *                     if do_flat:             # <<<<<<<<<<<<<<
 *                         data = data / cflat[i]
 *                     if do_polarization:
 */
                                __pyx_t_9 = (__pyx_v_do_flat != 0);
                                if (__pyx_t_9) {

                                  /* "pyFAI/ext/sparse_common.pxi":218
 *                         data = data - cdark[i]
 *                     if do_flat:
 *                         data = data / cflat[i]             # <<<<<<<<<<<<<<
 *                     if do_polarization:
 *                         data = data / cpolarization[i]
 */
                                  if (unlikely(!__pyx_v_cflat.memview)) { __Pyx_RaiseUnboundMemoryviewSliceNogil("cflat"); __PYX_ERR(0, 218, __pyx_L34_error) }
                                  __pyx_t_24 = __pyx_v_i;
                                  __pyx_v_data = (__pyx_v_data / (*((__pyx_t_5pyFAI_3ext_11_distortion_data_t *) ( /* dim=0 */ ((char *) (((__pyx_t_5pyFAI_3ext_11_distortion_data_t *) __pyx_v_cflat.data) + __pyx_t_24)) ))));

                                  /* "pyFAI/ext/sparse_common.pxi":217
 *                     if do_dark:
 *                         data = data - cdark[i]
 *                     if do_flat:             # <<<<<<<<<<<<<<
 *                         data = data / cflat[i]
 *                     if do_polarization:
 */
                                }

                                /* "pyFAI/ext/sparse_common.pxi":219
 *                     if do_flat:
 *                         data = data / cflat[i]
 *                     if do_polarization:             # <<<<<<<<<<<<<<
 *                         data = data / cpolarization[i]
 *                     if do_solidAngle:
 */
                                __pyx_t_9 = (__pyx_v_do_polarization != 0);
                                if (__pyx_t_9) {

                                  /* "pyFAI/ext/sparse_common.pxi":220
 *                         data = data / cflat[i]
 *                     if do_polarization:
 *                         data = data / cpolarization[i]             # <<<<<<<<<<<<<<
 *                     if do_solidAngle:
 *                         data = data / csolidAngle[i]
 */
                                  if (unlikely(!__pyx_v_cpolarization.memview)) { __Pyx_RaiseUnboundMemoryviewSliceNogil("cpolarization"); __PYX_ERR(0, 220, __pyx_L34_error) }
                                  __pyx_t_25 = __pyx_v_i;
                                  __pyx_v_data = (__pyx_v_data / (*((__pyx_t_5pyFAI_3ext_11_distortion_data_t *) ( /* dim=0 */ ((char *) (((__pyx_t_5pyFAI_3ext_11_distortion_data_t *) __pyx_v_cpolarization.data) + __pyx_t_25)) ))));

                                  /* "pyFAI/ext/sparse_common.pxi":219
 *                     if do_flat:
 *                         data = data / cflat[i]
 *                     if do_polarization:             # <<<<<<<<<<<<<<
 *                         data = data / cpolarization[i]
 *                     if do_solidAngle:
 */
                                }

                                /* "pyFAI/ext/sparse_common.pxi":221
 *                     if do_polarization:
 *                         data = data / cpolarization[i]
 *                     if do_solidAngle:             # <<<<<<<<<<<<<<
 *                         data = data / csolidAngle[i]
 *                     cdata[i] += data
 */
                                __pyx_t_9 = (__pyx_v_do_solidAngle != 0);
                                if (__pyx_t_9) {

                                  /* "pyFAI/ext/sparse_common.pxi":222
 *                         data = data / cpolarization[i]
 *                     if do_solidAngle:
 *                         data = data / csolidAngle[i]             # <<<<<<<<<<<<<<
 *                     cdata[i] += data
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 *     if (c < res):
 *         res = c
 *     if (d < res):             # <<<<<<<<<<<<<<
 *         res = d
 *     return floor(res)
 */
  __pyx_t_1 = ((__pyx_v_d < __pyx_v_res) != 0);
  if (__pyx_t_1) {

    /* "pyFAI/ext/_distortion.pyx":91
 *         res = c
 *     if (d < res):
 *         res = d             # <<<<<<<<<<<<<<
 *     return floor(res)
 * 
 */
    __pyx_v_res = __pyx_v_d;

    /* "pyFAI/ext/_distortion.pyx":90
 *     if (c < res):
 *         res = c
 *     if (d < res):             # <<<<<<<<<<<<<<
 *         res = d
 *     return floor(res)
 */
  }

  /* "pyFAI/ext/_distortion.pyx":92
 *     if (d < res):
 *         res = d
 *     return floor(res)             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_r = floor(__pyx_v_res);
  goto __pyx_L0;

  /* "pyFAI/ext/_distortion.pyx":81
 * 
 * 
 * cdef inline float _floor_min4(float a, float b, float c, float d) nogil:             # <<<<<<<<<<<<<<
 *     "return floor(min(a,b,c,d))"
 *     cdef float res
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

/* "pyFAI/ext/_distortion.pyx":95
 * 
 * 
 * cdef inline float _ceil_max4(float a, float b, float c, float d) nogil:             # <<<<<<<<<<<<<<
 *     "return  ceil(max(a,b,c,d))"
 *     cdef float res
 */

static CYTHON_INLINE float __pyx_f_5pyFAI_3ext_11_distortion__ceil_max4(float __pyx_v_a, float __pyx_v_b, float __pyx_v_c, float __pyx_v_d) {
  float __pyx_v_res;
  float __pyx_r;
  int __pyx_t_1;

  /* "pyFAI/ext/_distortion.pyx":98
 *     "return  ceil(max(a,b,c,d))"
 *     cdef float res
 *     if (b > a):             # <<<<<<<<<<<<<<
 *         res = b
 *     else:
 */
  __pyx_t_1 = ((__pyx_v_b > __pyx_v_a) != 0);
  if (__pyx_t_1) {

    /* "pyFAI/ext/_distortion.pyx":99
 *     cdef float res
 *     if (b > a):
 *         res = b             # <<<<<<<<<<<<<<
 *     else:
 *         res = a
 */
    __pyx_v_res = __pyx_v_b;

    /* "pyFAI/ext/_distortion.pyx":98
 *     "return  ceil(max(a,b,c,d))"
 *     cdef float res
 *     if (b > a):             # <<<<<<<<<<<<<<
 *         res = b
 *     else:
 */
    goto __pyx_L3;
  }

  /* "pyFAI/ext/_distortion.pyx":101
 *         res = b
 *     else:
 *         res = a             # <<<<<<<<<<<<<<
 *     if (c > res):
 *         res = c
 */
  /*else*/ {
    __pyx_v_res = __pyx_v_a;
  }
  __pyx_L3:;

  /* "pyFAI/ext/_distortion.pyx":102
 *     else:
 *         res = a
 *     if (c > res):             # <<<<<<<<<<<<<<
 *         res = c
 *     if (d > res):
 */
  __pyx_t_1 = ((__pyx_v_c > __pyx_v_res) != 0);
  if (__pyx_t_1) {

    /* "pyFAI/ext/_distortion.pyx":103
 *         res = a
 *     if (c > res):
 *         res = c             # <<<<<<<<<<<<<<
 *     if (d > res):
 *         res = d
 */
    __pyx_v_res = __pyx_v_c;

    /* "pyFAI/ext/_distortion.pyx":102
 *     else:
 *         res = a
 *     if (c > res):             # <<<<<<<<<<<<<<
 *         res = c
 *     if (d > res):
 */
  }

  /* "pyFAI/ext/_distortion.pyx":104
 *     if (c > res):
 *         res = c
 *     if (d > res):             # <<<<<<<<<<<<<<
 *         res = d
 *     return ceil(res)
 */
  __pyx_t_1 = ((__pyx_v_d > __pyx_v_res) != 0);
  if (__pyx_t_1) {

    /* "pyFAI/ext/_distortion.pyx":105
 *         res = c
 *     if (d > res):
 *         res = d             # <<<<<<<<<<<<<<
 *     return ceil(res)
 * 
 */
    __pyx_v_res = __pyx_v_d;

    /* "pyFAI/ext/_distortion.pyx":104
 *     if (c > res):
 *         res = c
 *     if (d > res):             # <<<<<<<<<<<<<<
 *         res = d
 *     return ceil(res)
 */
  }

  /* "pyFAI/ext/_distortion.pyx":106
 *     if (d > res):
 *         res = d
 *     return ceil(res)             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_r = ceil(__pyx_v_res);
  goto __pyx_L0;

  /* "pyFAI/ext/_distortion.pyx":95
 * 
 * 
 * cdef inline float _ceil_max4(float a, float b, float c, float d) nogil:             # <<<<<<<<<<<<<<
 *     "return  ceil(max(a,b,c,d))"
 *     cdef float res
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

/* "pyFAI/ext/_distortion.pyx":112
 * @cython.boundscheck(False)
 * @cython.cdivision(True)
 * cdef inline void integrate(cnumpy.float32_t[:, ::1] box, float start, float stop, float slope, float intercept) nogil:             # <<<<<<<<<<<<<<
 *     """Integrate in a box a line between start and stop, line defined by its slope & intercept
 * 
 */

static CYTHON_INLINE void __pyx_f_5pyFAI_3ext_11_distortion_integrate(__Pyx_memviewslice __pyx_v_box, float __pyx_v_start, float __pyx_v_stop, float __pyx_v_slope, float __pyx_v_intercept) {
  int __pyx_v_i;
  int __pyx_v_h;
  float __pyx_v_P;
  float __pyx_v_dP;
  float __pyx_v_segment_area;
  float __pyx_v_abs_area;
  float __pyx_v_dA;
  int __pyx_t_1;
  Py_ssize_t __pyx_t_2;
  Py_ssize_t __pyx_t_3;
  Py_ssize_t __pyx_t_4;
  Py_ssize_t __pyx_t_5;
  int __pyx_t_6;
  int __pyx_t_7;
  int __pyx_t_8;
  Py_ssize_t __pyx_t_9;
  Py_ssize_t __pyx_t_10;
  Py_ssize_t __pyx_t_11;
  Py_ssize_t __pyx_t_12;
  Py_ssize_t __pyx_t_13;
  Py_ssize_t __pyx_t_14;
  Py_ssize_t __pyx_t_15;
  Py_ssize_t __pyx_t_16;
  Py_ssize_t __pyx_t_17;
  Py_ssize_t __pyx_t_18;
  Py_ssize_t __pyx_t_19;
  Py_ssize_t __pyx_t_20;

  /* "pyFAI/ext/_distortion.pyx":118
 *     """
 *     cdef:
 *         int i, h = 0             # <<<<<<<<<<<<<<
 *         float P, dP, segment_area, abs_area, dA
 *         # , sign
 */
  __pyx_v_h = 0;

  /* "pyFAI/ext/_distortion.pyx":121
 *         float P, dP, segment_area, abs_area, dA
 *         # , sign
 *     if start < stop:  # positive contribution             # <<<<<<<<<<<<<<
 *         P = ceil(start)
 *         dP = P - start
 */
  __pyx_t_1 = ((__pyx_v_start < __pyx_v_stop) != 0);
  if (__pyx_t_1) {

    /* "pyFAI/ext/_distortion.pyx":122
 *         # , sign
 *     if start < stop:  # positive contribution
 *         P = ceil(start)             # <<<<<<<<<<<<<<
 *         dP = P - start
 *         if P > stop:  # start and stop are in the same unit
 */
    __pyx_v_P = ceil(__pyx_v_start);

    /* "pyFAI/ext/_distortion.pyx":123
 *     if start < stop:  # positive contribution
 *         P = ceil(start)
 *         dP = P - start             # <<<<<<<<<<<<<<
 *         if P > stop:  # start and stop are in the same unit
 *             segment_area = calc_area(start, stop, slope, intercept)
 */
    __pyx_v_dP = (__pyx_v_P - __pyx_v_start);

    /* "pyFAI/ext/_distortion.pyx":124
 *         P = ceil(start)
 *         dP = P - start
 *         if P > stop:  # start and stop are in the same unit             # <<<<<<<<<<<<<<
 *             segment_area = calc_area(start, stop, slope, intercept)
 *             if segment_area != 0.0:
 */
    __pyx_t_1 = ((__pyx_v_P > __pyx_v_stop) != 0);
    if (__pyx_t_1) {

      /* "pyFAI/ext/_distortion.pyx":125
 *         dP = P - start
 *         if P > stop:  # start and stop are in the same unit
 *             segment_area = calc_area(start, stop, slope, intercept)             # <<<<<<<<<<<<<<
 *             if segment_area != 0.0:
 *                 abs_area = fabs(segment_area)
 */
      __pyx_v_segment_area = __pyx_f_5pyFAI_3ext_11_distortion_calc_area(__pyx_v_start, __pyx_v_stop, __pyx_v_slope, __pyx_v_intercept, 0);

      /* "pyFAI/ext/_distortion.pyx":126
 *         if P > stop:  # start and stop are in the same unit
 *             segment_area = calc_area(start, stop, slope, intercept)
 *             if segment_area != 0.0:             # <<<<<<<<<<<<<<
 *                 abs_area = fabs(segment_area)
 *                 dA = (stop - start)  # always positive
 */
      __pyx_t_1 = ((__pyx_v_segment_area != 0.0) != 0);
      if (__pyx_t_1) {

        /* "pyFAI/ext/_distortion.pyx":127
 *             segment_area = calc_area(start, stop, slope, intercept)
 *             if segment_area != 0.0:
 *                 abs_area = fabs(segment_area)             # <<<<<<<<<<<<<<
 *                 dA = (stop - start)  # always positive
 *                 h = 0
 */
        __pyx_v_abs_area = fabs(__pyx_v_segment_area);

        /* "pyFAI/ext/_distortion.pyx":128
 *             if segment_area != 0.0:
 *                 abs_area = fabs(segment_area)
 *                 dA = (stop - start)  # always positive             # <<<<<<<<<<<<<<
 *                 h = 0
 *                 while abs_area > 0:
 */
        __pyx_v_dA = (__pyx_v_stop - __pyx_v_start);

        /* "pyFAI/ext/_distortion.pyx":129
 *                 abs_area = fabs(segment_area)
 *                 dA = (stop - start)  # always positive
 *                 h = 0             # <<<<<<<<<<<<<<
 *                 while abs_area > 0:
 *                     if dA > abs_area:
 */
        __pyx_v_h = 0;

        /* "pyFAI/ext/_distortion.pyx":130
 *                 dA = (stop - start)  # always positive
 *                 h = 0
 *                 while abs_area > 0:             # <<<<<<<<<<<<<<
 *                     if dA > abs_area:
 *                         dA = abs_area
 */
        while (1) {
          __pyx_t_1 = ((__pyx_v_abs_area > 0.0) != 0);
          if (!__pyx_t_1) break;

          /* "pyFAI/ext/_distortion.pyx":131
 *                 h = 0
 *                 while abs_area > 0:
 *                     if dA > abs_area:             # <<<<<<<<<<<<<<
 *                         dA = abs_area
 *                         abs_area = -1
 */
          __pyx_t_1 = ((__pyx_v_dA > __pyx_v_abs_area) != 0);
          if (__pyx_t_1) {

            /* "pyFAI/ext/_distortion.pyx":132
 *                 while abs_area > 0:
 *                     if dA > abs_area:
 *                         dA = abs_area             # <<<<<<<<<<<<<<
 *                         abs_area = -1
 *                     box[(<int> start), h] += copysign(dA, segment_area)
 */
            __pyx_v_dA = __pyx_v_abs_area;

            /* "pyFAI/ext/_distortion.pyx":133
 *                     if dA > abs_area:
 *                         dA = abs_area
 *                         abs_area = -1             # <<<<<<<<<<<<<<
 *                     box[(<int> start), h] += copysign(dA, segment_area)
 *                     abs_area -= dA
 */
            __pyx_v_abs_area = -1.0;

            /* "pyFAI/ext/_distortion.pyx":131
 *                 h = 0
 *                 while abs_area > 0:
 *                     if dA > abs_area:             # <<<<<<<<<<<<<<
 *                         dA = abs_area
 *                         abs_area = -1
 */
          }

          /* "pyFAI/ext/_distortion.pyx":134
 *                         dA = abs_area
 *                         abs_area = -1
 *                     box[(<int> start), h] += copysign(dA, segment_area)             # <<<<<<<<<<<<<<
 *                     abs_area -= dA
 *                     h += 1
 */
          __pyx_t_2 = ((int)__pyx_v_start);
          __pyx_t_3 = __pyx_v_h;
          *((__pyx_t_5numpy_float32_t *) ( /* dim=1 */ ((char *) (((__pyx_t_5numpy_float32_t *) ( /* dim=0 */ (__pyx_v_box.data + __pyx_t_2 * __pyx_v_box.strides[0]) )) + __pyx_t_3)) )) += copysign(__pyx_v_dA, __pyx_v_segment_area);

          /* "pyFAI/ext/_distortion.pyx":135
 *                         abs_area = -1
 *                     box[(<int> start), h] += copysign(dA, segment_area)
 *                     abs_area -= dA             # <<<<<<<<<<<<<<
 *                     h += 1
 *         else:
 */
          __pyx_v_abs_area = (__pyx_v_abs_area - __pyx_v_dA);

          /* "pyFAI/ext/_distortion.pyx":136
 *                     box[(<int> start), h] += copysign(dA, segment_area)
 *                     abs_area -= dA
 *                     h += 1             # <<<<<<<<<<<<<<
 *         else:
 *             if dP > 0:
 */
          __pyx_v_h = (__pyx_v_h + 1);
        }

        /* "pyFAI/ext/_distortion.pyx":126
 *         if P > stop:  # start and stop are in the same unit
 *             segment_area = calc_area(start, stop, slope, intercept)
 *             if segment_area != 0.0:             # <<<<<<<<<<<<<<
 *                 abs_area = fabs(segment_area)
 *                 dA = (stop - start)  # always positive
 */
      }

      /* "pyFAI/ext/_distortion.pyx":124
 *         P = ceil(start)
 *         dP = P - start
 *         if P > stop:  # start and stop are in the same unit             # <<<<<<<<<<<<<<
 *             segment_area = calc_area(start, stop, slope, intercept)
 *             if segment_area != 0.0:
 */
      goto __pyx_L4;
    }

    /* "pyFAI/ext/_distortion.pyx":138
 *                     h += 1
 *         else:
 *             if dP > 0:             # <<<<<<<<<<<<<<
 *                 segment_area = calc_area(start, P, slope, intercept)
 *                 if segment_area != 0.0:
 */
    /*else*/ {
      __pyx_t_1 = ((__pyx_v_dP > 0.0) != 0);
      if (__pyx_t_1) {

        /* "pyFAI/ext/_distortion.pyx":139
 *         else:
 *             if dP > 0:
 *                 segment_area = calc_area(start, P, slope, intercept)             # <<<<<<<<<<<<<<
 *                 if segment_area != 0.0:
 *                     abs_area = fabs(segment_area)
 */
        __pyx_v_segment_area = __pyx_f_5pyFAI_3ext_11_distortion_calc_area(__pyx_v_start, __pyx_v_P, __pyx_v_slope, __pyx_v_intercept, 0);

        /* "pyFAI/ext/_distortion.pyx":140
 *             if dP > 0:
 *                 segment_area = calc_area(start, P, slope, intercept)
 *                 if segment_area != 0.0:             # <<<<<<<<<<<<<<
 *                     abs_area = fabs(segment_area)
 *                     h = 0
 */
        __pyx_t_1 = ((__pyx_v_segment_area != 0.0) != 0);
        if (__pyx_t_1) {

          /* "pyFAI/ext/_distortion.pyx":141
 *                 segment_area = calc_area(start, P, slope, intercept)
 *                 if segment_area != 0.0:
 *                     abs_area = fabs(segment_area)             # <<<<<<<<<<<<<<
 *                     h = 0
 *                     dA = dP
 */
          __pyx_v_abs_area = fabs(__pyx_v_segment_area);

          /* "pyFAI/ext/_distortion.pyx":142
 *                 if segment_area != 0.0:
 *                     abs_area = fabs(segment_area)
 *                     h = 0             # <<<<<<<<<<<<<<
 *                     dA = dP
 *                     while abs_area > 0:
 */
          __pyx_v_h = 0;

          /* "pyFAI/ext/_distortion.pyx":143
 *                     abs_area = fabs(segment_area)
 *                     h = 0
 *                     dA = dP             # <<<<<<<<<<<<<<
 *                     while abs_area > 0:
 *                         if dA > abs_area:
 */
          __pyx_v_dA = __pyx_v_dP;

          /* "pyFAI/ext/_distortion.pyx":144
 *                     h = 0
 *                     dA = dP
 *                     while abs_area > 0:             # <<<<<<<<<<<<<<
 *                         if dA > abs_area:
 *                             dA = abs_area
 */
          while (1) {
            __pyx_t_1 = ((__pyx_v_abs_area > 0.0) != 0);
            if (!__pyx_t_1) break;

            /* "pyFAI/ext/_distortion.pyx":145
 *                     dA = dP
 *                     while abs_area > 0:
 *                         if dA > abs_area:             # <<<<<<<<<<<<<<
 *                             dA = abs_area
 *                             abs_area = -1
 */
            __pyx_t_1 = ((__pyx_v_dA > __pyx_v_abs_area) != 0);
            if (__pyx_t_1) {

              /* "pyFAI/ext/_distortion.pyx":146
 *                     while abs_area > 0:
 *                         if dA > abs_area:
 *                             dA = abs_area             # <<<<<<<<<<<<<<
 *                             abs_area = -1
 *                         box[(<int> P) - 1, h] += copysign(dA, segment_area)
 */
              __pyx_v_dA = __pyx_v_abs_area;

              /* "pyFAI/ext/_distortion.pyx":147
 *                         if dA > abs_area:
 *                             dA = abs_area
 *                             abs_area = -1             # <<<<<<<<<<<<<<
 *                         box[(<int> P) - 1, h] += copysign(dA, segment_area)
 *                         abs_area -= dA
 */
              __pyx_v_abs_area = -1.0;

              /* "pyFAI/ext/_distortion.pyx":145
 *                     dA = dP
 *                     while abs_area > 0:
 *                         if dA > abs_area:             # <<<<<<<<<<<<<<
 *                             dA = abs_area
 *                             abs_area = -1
 */
            }

            /* "pyFAI/ext/_distortion.pyx":148
 *                             dA = abs_area
 *                             abs_area = -1
 *                         box[(<int> P) - 1, h] += copysign(dA, segment_area)             # <<<<<<<<<<<<<<
 *                         abs_area -= dA
 *                         h += 1
 */
            __pyx_t_4 = (((int)__pyx_v_P) - 1);
            __pyx_t_5 = __pyx_v_h;
            *((__pyx_t_5numpy_float32_t *) ( /* dim=1 */ ((char *) (((__pyx_t_5numpy_float32_t *) ( /* dim=0 */ (__pyx_v_box.data + __pyx_t_4 * __pyx_v_box.strides[0]) )) + __pyx_t_5)) )) += copysign(__pyx_v_dA, __pyx_v_segment_area);

            /* "pyFAI/ext/_distortion.pyx":149
 *                             abs_area = -1
 *                         box[(<int> P) - 1, h] += copysign(dA, segment_area)
 *                         abs_area -= dA             # <<<<<<<<<<<<<<
 *                         h += 1
 *             # subsection P1->Pn
 */
            __pyx_v_abs_area = (__pyx_v_abs_area - __pyx_v_dA);

            /* "pyFAI/ext/_distortion.pyx":150
 *                         box[(<int> P) - 1, h] += copysign(dA, segment_area)
 *                         abs_area -= dA
 *                         h += 1             # <<<<<<<<<<<<<<
 *             # subsection P1->Pn
 *             for i in range((<int> floor(P)), (<int> floor(stop))):
 */
            __pyx_v_h = (__pyx_v_h + 1);
          }

          /* "pyFAI/ext/_distortion.pyx":140
 *             if dP > 0:
 *                 segment_area = calc_area(start, P, slope, intercept)
 *                 if segment_area != 0.0:             # <<<<<<<<<<<<<<
 *                     abs_area = fabs(segment_area)
 *                     h = 0
 */
        }

        /* "pyFAI/ext/_distortion.pyx":138
 *                     h += 1
 *         else:
 *             if dP > 0:             # <<<<<<<<<<<<<<
 *                 segment_area = calc_area(start, P, slope, intercept)
 *                 if segment_area != 0.0:
 */
      }

      /* "pyFAI/ext/_distortion.pyx":152
 *                         h += 1
 *             # subsection P1->Pn
 *             for i in range((<int> floor(P)), (<int> floor(stop))):             # <<<<<<<<<<<<<<
 *                 segment_area = calc_area(i, i + 1, slope, intercept)
 *                 if segment_area != 0:
 */
      __pyx_t_6 = ((int)floor(__pyx_v_stop));
      __pyx_t_7 = __pyx_t_6;
      for (__pyx_t_8 = ((int)floor(__pyx_v_P)); __pyx_t_8 < __pyx_t_7; __pyx_t_8+=1) {
        __pyx_v_i = __pyx_t_8;

        /* "pyFAI/ext/_distortion.pyx":153
 *             # subsection P1->Pn
 *             for i in range((<int> floor(P)), (<int> floor(stop))):
 *                 segment_area = calc_area(i, i + 1, slope, intercept)             # <<<<<<<<<<<<<<
 *                 if segment_area != 0:
 *                     abs_area = fabs(segment_area)
 */
        __pyx_v_segment_area = __pyx_f_5pyFAI_3ext_11_distortion_calc_area(__pyx_v_i, (__pyx_v_i + 1), __pyx_v_slope, __pyx_v_intercept, 0);

        /* "pyFAI/ext/_distortion.pyx":154
 *             for i in range((<int> floor(P)), (<int> floor(stop))):
 *                 segment_area = calc_area(i, i + 1, slope, intercept)
 *                 if segment_area != 0:             # <<<<<<<<<<<<<<
 *                     abs_area = fabs(segment_area)
 *                     h = 0
 */
        __pyx_t_1 = ((__pyx_v_segment_area != 0.0) != 0);
        if (__pyx_t_1) {

          /* "pyFAI/ext/_distortion.pyx":155
 *                 segment_area = calc_area(i, i + 1, slope, intercept)
 *                 if segment_area != 0:
 *                     abs_area = fabs(segment_area)             # <<<<<<<<<<<<<<
 *                     h = 0
 *                     dA = 1.0
 */
          __pyx_v_abs_area = fabs(__pyx_v_segment_area);

          /* "pyFAI/ext/_distortion.pyx":156
 *                 if segment_area != 0:
 *                     abs_area = fabs(segment_area)
 *                     h = 0             # <<<<<<<<<<<<<<
 *                     dA = 1.0
 *                     while abs_area > 0:
 */
          __pyx_v_h = 0;

          /* "pyFAI/ext/_distortion.pyx":157
 *                     abs_area = fabs(segment_area)
 *                     h = 0
 *                     dA = 1.0             # <<<<<<<<<<<<<<
 *                     while abs_area > 0:
 *                         if dA > abs_area:
 */
          __pyx_v_dA = 1.0;

          /* "pyFAI/ext/_distortion.pyx":158
 *                     h = 0
 *                     dA = 1.0
 *                     while abs_area > 0:             # <<<<<<<<<<<<<<
 *                         if dA > abs_area:
 *                             dA = abs_area
 */
          while (1) {
            __pyx_t_1 = ((__pyx_v_abs_area > 0.0) != 0);
            if (!__pyx_t_1) break;

            /* "pyFAI/ext/_distortion.pyx":159
 *                     dA = 1.0
 *                     while abs_area > 0:
 *                         if dA > abs_area:             # <<<<<<<<<<<<<<
 *                             dA = abs_area
 *                             abs_area = -1
 */
            __pyx_t_1 = ((__pyx_v_dA > __pyx_v_abs_area) != 0);
            if (__pyx_t_1) {

              /* "pyFAI/ext/_distortion.pyx":160
 *                     while abs_area > 0:
 *                         if dA > abs_area:
 *                             dA = abs_area             # <<<<<<<<<<<<<<
 *                             abs_area = -1
 *                         box[i, h] += copysign(dA, segment_area)
 */
              __pyx_v_dA = __pyx_v_abs_area;

              /* "pyFAI/ext/_distortion.pyx":161
 *                         if dA > abs_area:
 *                             dA = abs_area
 *                             abs_area = -1             # <<<<<<<<<<<<<<
 *                         box[i, h] += copysign(dA, segment_area)
 *                         abs_area -= dA
 */
              __pyx_v_abs_area = -1.0;

              /* "pyFAI/ext/_distortion.pyx":159
 *                     dA = 1.0
 *                     while abs_area > 0:
 *                         if dA > abs_area:             # <<<<<<<<<<<<<<
 *                             dA = abs_area
 *                             abs_area = -1
 */
            }

            /* "pyFAI/ext/_distortion.pyx":162
 *                             dA = abs_area
 *                             abs_area = -1
 *                         box[i, h] += copysign(dA, segment_area)             # <<<<<<<<<<<<<<
 *                         abs_area -= dA
 *                         h += 1
 */
            __pyx_t_9 = __pyx_v_i;
            __pyx_t_10 = __pyx_v_h;
            *((__pyx_t_5numpy_float32_t *) ( /* dim=1 */ ((char *) (((__pyx_t_5numpy_float32_t *) ( /* dim=0 */ (__pyx_v_box.data + __pyx_t_9 * __pyx_v_box.strides[0]) )) + __pyx_t_10)) )) += copysign(__pyx_v_dA, __pyx_v_segment_area);

            /* "pyFAI/ext/_distortion.pyx":163
 *                             abs_area = -1
 *                         box[i, h] += copysign(dA, segment_area)
 *                         abs_area -= dA             # <<<<<<<<<<<<<<
 *                         h += 1
 *             # Section Pn->B
 */
            __pyx_v_abs_area = (__pyx_v_abs_area - __pyx_v_dA);

            /* "pyFAI/ext/_distortion.pyx":164
 *                         box[i, h] += copysign(dA, segment_area)
 *                         abs_area -= dA
 *                         h += 1             # <<<<<<<<<<<<<<
 *             # Section Pn->B
 *             P = floor(stop)
 */
            __pyx_v_h = (__pyx_v_h + 1);
          }

          /* "pyFAI/ext/_distortion.pyx":154
 *             for i in range((<int> floor(P)), (<int> floor(stop))):
 *                 segment_area = calc_area(i, i + 1, slope, intercept)
 *                 if segment_area != 0:             # <<<<<<<<<<<<<<
 *                     abs_area = fabs(segment_area)
 *                     h = 0
 */
        }
      }

      /* "pyFAI/ext/_distortion.pyx":166
 *                         h += 1
 *             # Section Pn->B
 *             P = floor(stop)             # <<<<<<<<<<<<<<
 *             dP = stop - P
 *             if dP > 0:
 */
      __pyx_v_P = floor(__pyx_v_stop);

      /* "pyFAI/ext/_distortion.pyx":167
 *             # Section Pn->B
 *             P = floor(stop)
 *             dP = stop - P             # <<<<<<<<<<<<<<
 *             if dP > 0:
 *                 segment_area = calc_area(P, stop, slope, intercept)
 */
      __pyx_v_dP = (__pyx_v_stop - __pyx_v_P);

      /* "pyFAI/ext/_distortion.pyx":168
 *             P = floor(stop)
 *             dP = stop - P
 *             if dP > 0:             # <<<<<<<<<<<<<<
 *                 segment_area = calc_area(P, stop, slope, intercept)
 *                 if segment_area != 0:
 */
      __pyx_t_1 = ((__pyx_v_dP > 0.0) != 0);
      if (__pyx_t_1) {

        /* "pyFAI/ext/_distortion.pyx":169
 *             dP = stop - P
 *             if dP > 0:
 *                 segment_area = calc_area(P, stop, slope, intercept)             # <<<<<<<<<<<<<<
 *                 if segment_area != 0:
 *                     abs_area = fabs(segment_area)
 */
        __pyx_v_segment_area = __pyx_f_5pyFAI_3ext_11_distortion_calc_area(__pyx_v_P, __pyx_v_stop, __pyx_v_slope, __pyx_v_intercept, 0);

        /* "pyFAI/ext/_distortion.pyx":170
 *             if dP > 0:
 *                 segment_area = calc_area(P, stop, slope, intercept)
 *                 if segment_area != 0:             # <<<<<<<<<<<<<<
 *                     abs_area = fabs(segment_area)
 *                     h = 0
 */
        __pyx_t_1 = ((__pyx_v_segment_area != 0.0) != 0);
        if (__pyx_t_1) {

          /* "pyFAI/ext/_distortion.pyx":171
 *                 segment_area = calc_area(P, stop, slope, intercept)
 *                 if segment_area != 0:
 *                     abs_area = fabs(segment_area)             # <<<<<<<<<<<<<<
 *                     h = 0
 *                     dA = fabs(dP)
 */
          __pyx_v_abs_area = fabs(__pyx_v_segment_area);

          /* "pyFAI/ext/_distortion.pyx":172
 *                 if segment_area != 0:
 *                     abs_area = fabs(segment_area)
 *                     h = 0             # <<<<<<<<<<<<<<
 *                     dA = fabs(dP)
 *                     while abs_area > 0:
 */
          __pyx_v_h = 0;

          /* "pyFAI/ext/_distortion.pyx":173
 *                     abs_area = fabs(segment_area)
 *                     h = 0
 *                     dA = fabs(dP)             # <<<<<<<<<<<<<<
 *                     while abs_area > 0:
 *                         if dA > abs_area:
 */
          __pyx_v_dA = fabs(__pyx_v_dP);

          /* "pyFAI/ext/_distortion.pyx":174
 *                     h = 0
 *                     dA = fabs(dP)
 *                     while abs_area > 0:             # <<<<<<<<<<<<<<
 *                         if dA > abs_area:
 *                             dA = abs_area
 */
          while (1) {
            __pyx_t_1 = ((__pyx_v_abs_area > 0.0) != 0);
            if (!__pyx_t_1) break;

            /* "pyFAI/ext/_distortion.pyx":175
 *                     dA = fabs(dP)
 *                     while abs_area > 0:
 *                         if dA > abs_area:             # <<<<<<<<<<<<<<
 *                             dA = abs_area
 *                             abs_area = -1
 */
            __pyx_t_1 = ((__pyx_v_dA > __pyx_v_abs_area) != 0);
            if (__pyx_t_1) {

              /* "pyFAI/ext/_distortion.pyx":176
 *                     while abs_area > 0:
 *                         if dA > abs_area:
 *                             dA = abs_area             # <<<<<<<<<<<<<<
 *                             abs_area = -1
 *                         box[(<int> P), h] += copysign(dA, segment_area)
 */
              __pyx_v_dA = __pyx_v_abs_area;

              /* "pyFAI/ext/_distortion.pyx":177
 *                         if dA > abs_area:
 *                             dA = abs_area
 *                             abs_area = -1             # <<<<<<<<<<<<<<
 *                         box[(<int> P), h] += copysign(dA, segment_area)
 *                         abs_area -= dA
 */
              __pyx_v_abs_area = -1.0;

              /* "pyFAI/ext/_distortion.pyx":175
 *                     dA = fabs(dP)
 *                     while abs_area > 0:
 *                         if dA > abs_area:             # <<<<<<<<<<<<<<
 *                             dA = abs_area
 *                             abs_area = -1
 */
            }

            /* "pyFAI/ext/_distortion.pyx":178
 *                             dA = abs_area
 *                             abs_area = -1
 *                         box[(<int> P), h] += copysign(dA, segment_area)             # <<<<<<<<<<<<<<
 *                         abs_area -= dA
 *                         h += 1
 */
            __pyx_t_11 = ((int)__pyx_v_P);
            __pyx_t_12 = __pyx_v_h;
            *((__pyx_t_5numpy_float32_t *) ( /* dim=1 */ ((char *) (((__pyx_t_5numpy_float32_t *) ( /* dim=0 */ (__pyx_v_box.data + __pyx_t_11 * __pyx_v_box.strides[0]) )) + __pyx_t_12)) )) += copysign(__pyx_v_dA, __pyx_v_segment_area);

            /* "pyFAI/ext/_distortion.pyx":179
 *                             abs_area = -1
 *                         box[(<int> P), h] += copysign(dA, segment_area)
 *                         abs_area -= dA             # <<<<<<<<<<<<<<
 *                         h += 1
 *     elif start > stop:  # negative contribution. Nota if start==stop: no contribution
 */
            __pyx_v_abs_area = (__pyx_v_abs_area - __pyx_v_dA);

            /* "pyFAI/ext/_distortion.pyx":180
 *                         box[(<int> P), h] += copysign(dA, segment_area)
 *                         abs_area -= dA
 *                         h += 1             # <<<<<<<<<<<<<<
 *     elif start > stop:  # negative contribution. Nota if start==stop: no contribution
 *         P = floor(start)
 */
            __pyx_v_h = (__pyx_v_h + 1);
          }

          /* "pyFAI/ext/_distortion.pyx":170
 *             if dP > 0:
 *                 segment_area = calc_area(P, stop, slope, intercept)
 *                 if segment_area != 0:             # <<<<<<<<<<<<<<
 *                     abs_area = fabs(segment_area)
 *                     h = 0
 */
        }

        /* "pyFAI/ext/_distortion.pyx":168
 *             P = floor(stop)
 *             dP = stop - P
 *             if dP > 0:             # <<<<<<<<<<<<<<
 *                 segment_area = calc_area(P, stop, slope, intercept)
 *                 if segment_area != 0:
 */
      }
    }
    __pyx_L4:;

    /* "pyFAI/ext/_distortion.pyx":121
 *         float P, dP, segment_area, abs_area, dA
 *         # , sign
 *     if start < stop:  # positive contribution             # <<<<<<<<<<<<<<
 *         P = ceil(start)
 *         dP = P - start
 */
    goto __pyx_L3;
  }

  /* "pyFAI/ext/_distortion.pyx":181
 *                         abs_area -= dA
 *                         h += 1
 *     elif start > stop:  # negative contribution. Nota if start==stop: no contribution             # <<<<<<<<<<<<<<
 *         P = floor(start)
 *         if stop > P:  # start and stop are in the same unit
 */
  __pyx_t_1 = ((__pyx_v_start > __pyx_v_stop) != 0);
  if (__pyx_t_1) {

    /* "pyFAI/ext/_distortion.pyx":182
 *                         h += 1
 *     elif start > stop:  # negative contribution. Nota if start==stop: no contribution
 *         P = floor(start)             # <<<<<<<<<<<<<<
 *         if stop > P:  # start and stop are in the same unit
 *             segment_area = calc_area(start, stop, slope, intercept)
 */
    __pyx_v_P = floor(__pyx_v_start);

    /* "pyFAI/ext/_distortion.pyx":183
 *     elif start > stop:  # negative contribution. Nota if start==stop: no contribution
 *         P = floor(start)
 *         if stop > P:  # start and stop are in the same unit             # <<<<<<<<<<<<<<
 *             segment_area = calc_area(start, stop, slope, intercept)
 *             if segment_area != 0:
 */
    __pyx_t_1 = ((__pyx_v_stop > __pyx_v_P) != 0);
    if (__pyx_t_1) {

      /* "pyFAI/ext/_distortion.pyx":184
 *         P = floor(start)
 *         if stop > P:  # start and stop are in the same unit
 *             segment_area = calc_area(start, stop, slope, intercept)             # <<<<<<<<<<<<<<
 *             if segment_area != 0:
 *                 abs_area = fabs(segment_area)
 */
      __pyx_v_segment_area = __pyx_f_5pyFAI_3ext_11_distortion_calc_area(__pyx_v_start, __pyx_v_stop, __pyx_v_slope, __pyx_v_intercept, 0);

      /* "pyFAI/ext/_distortion.pyx":185
 *         if stop > P:  # start and stop are in the same unit
 *             segment_area = calc_area(start, stop, slope, intercept)
 *             if segment_area != 0:             # <<<<<<<<<<<<<<
 *                 abs_area = fabs(segment_area)
 *                 # sign = segment_area / abs_area
 */
      __pyx_t_1 = ((__pyx_v_segment_area != 0.0) != 0);
      if (__pyx_t_1) {

        /* "pyFAI/ext/_distortion.pyx":186
 *             segment_area = calc_area(start, stop, slope, intercept)
 *             if segment_area != 0:
 *                 abs_area = fabs(segment_area)             # <<<<<<<<<<<<<<
 *                 # sign = segment_area / abs_area
 *                 dA = (start - stop)  # always positive
 */
        __pyx_v_abs_area = fabs(__pyx_v_segment_area);

        /* "pyFAI/ext/_distortion.pyx":188
 *                 abs_area = fabs(segment_area)
 *                 # sign = segment_area / abs_area
 *                 dA = (start - stop)  # always positive             # <<<<<<<<<<<<<<
 *                 h = 0
 *                 while abs_area > 0:
 */
        __pyx_v_dA = (__pyx_v_start - __pyx_v_stop);

        /* "pyFAI/ext/_distortion.pyx":189
 *                 # sign = segment_area / abs_area
 *                 dA = (start - stop)  # always positive
 *                 h = 0             # <<<<<<<<<<<<<<
 *                 while abs_area > 0:
 *                     if dA > abs_area:
 */
        __pyx_v_h = 0;

        /* "pyFAI/ext/_distortion.pyx":190
 *                 dA = (start - stop)  # always positive
 *                 h = 0
 *                 while abs_area > 0:             # <<<<<<<<<<<<<<
 *                     if dA > abs_area:
 *                         dA = abs_area
 */
        while (1) {
          __pyx_t_1 = ((__pyx_v_abs_area > 0.0) != 0);
          if (!__pyx_t_1) break;

          /* "pyFAI/ext/_distortion.pyx":191
 *                 h = 0
 *                 while abs_area > 0:
 *                     if dA > abs_area:             # <<<<<<<<<<<<<<
 *                         dA = abs_area
 *                         abs_area = -1
 */
          __pyx_t_1 = ((__pyx_v_dA > __pyx_v_abs_area) != 0);
          if (__pyx_t_1) {

            /* "pyFAI/ext/_distortion.pyx":192
 *                 while abs_area > 0:
 *                     if dA > abs_area:
 *                         dA = abs_area             # <<<<<<<<<<<<<<
 *                         abs_area = -1
 *                     box[(<int> start), h] += copysign(dA, segment_area)
 */
            __pyx_v_dA = __pyx_v_abs_area;

            /* "pyFAI/ext/_distortion.pyx":193
 *                     if dA > abs_area:
 *                         dA = abs_area
 *                         abs_area = -1             # <<<<<<<<<<<<<<
 *                     box[(<int> start), h] += copysign(dA, segment_area)
 *                     abs_area -= dA
 */
            __pyx_v_abs_area = -1.0;

            /* "pyFAI/ext/_distortion.pyx":191
 *                 h = 0
 *                 while abs_area > 0:
 *                     if dA > abs_area:             # <<<<<<<<<<<<<<
 *                         dA = abs_area
 *                         abs_area = -1
 */
          }

          /* "pyFAI/ext/_distortion.pyx":194
 *                         dA = abs_area
 *                         abs_area = -1
 *                     box[(<int> start), h] += copysign(dA, segment_area)             # <<<<<<<<<<<<<<
 *                     abs_area -= dA
 *                     h += 1
 */
          __pyx_t_13 = ((int)__pyx_v_start);
          __pyx_t_14 = __pyx_v_h;
          *((__pyx_t_5numpy_float32_t *) ( /* dim=1 */ ((char *) (((__pyx_t_5numpy_float32_t *) ( /* dim=0 */ (__pyx_v_box.data + __pyx_t_13 * __pyx_v_box.strides[0]) )) + __pyx_t_14)) )) += copysign(__pyx_v_dA, __pyx_v_segment_area);

          /* "pyFAI/ext/_distortion.pyx":195
 *                         abs_area = -1
 *                     box[(<int> start), h] += copysign(dA, segment_area)
 *                     abs_area -= dA             # <<<<<<<<<<<<<<
 *                     h += 1
 *         else:
 */
          __pyx_v_abs_area = (__pyx_v_abs_area - __pyx_v_dA);

          /* "pyFAI/ext/_distortion.pyx":196
 *                     box[(<int> start), h] += copysign(dA, segment_area)
 *                     abs_area -= dA
 *                     h += 1             # <<<<<<<<<<<<<<
 *         else:
 *             dP = P - start
 */
          __pyx_v_h = (__pyx_v_h + 1);
        }

        /* "pyFAI/ext/_distortion.pyx":185
 *         if stop > P:  # start and stop are in the same unit
 *             segment_area = calc_area(start, stop, slope, intercept)
 *             if segment_area != 0:             # <<<<<<<<<<<<<<
 *                 abs_area = fabs(segment_area)
 *                 # sign = segment_area / abs_area
 */
      }

      /* "pyFAI/ext/_distortion.pyx":183
 *     elif start > stop:  # negative contribution. Nota if start==stop: no contribution
 *         P = floor(start)
 *         if stop > P:  # start and stop are in the same unit             # <<<<<<<<<<<<<<
 *             segment_area = calc_area(start, stop, slope, intercept)
 *             if segment_area != 0:
 */
      goto __pyx_L25;
    }

    /* "pyFAI/ext/_distortion.pyx":198
 *                     h += 1
 *         else:
 *             dP = P - start             # <<<<<<<<<<<<<<
 *             if dP < 0:
 *                 segment_area = calc_area(start, P, slope, intercept)
 */
    /*else*/ {
      __pyx_v_dP = (__pyx_v_P - __pyx_v_start);

      /* "pyFAI/ext/_distortion.pyx":199
 *         else:
 *             dP = P - start
 *             if dP < 0:             # <<<<<<<<<<<<<<
 *                 segment_area = calc_area(start, P, slope, intercept)
 *                 if segment_area != 0:
 */
      __pyx_t_1 = ((__pyx_v_dP < 0.0) != 0);
      if (__pyx_t_1) {

        /* "pyFAI/ext/_distortion.pyx":200
 *             dP = P - start
 *             if dP < 0:
 *                 segment_area = calc_area(start, P, slope, intercept)             # <<<<<<<<<<<<<<
 *                 if segment_area != 0:
 *                     abs_area = fabs(segment_area)
 */
        __pyx_v_segment_area = __pyx_f_5pyFAI_3ext_11_distortion_calc_area(__pyx_v_start, __pyx_v_P, __pyx_v_slope, __pyx_v_intercept, 0);

        /* "pyFAI/ext/_distortion.pyx":201
 *             if dP < 0:
 *                 segment_area = calc_area(start, P, slope, intercept)
 *                 if segment_area != 0:             # <<<<<<<<<<<<<<
 *                     abs_area = fabs(segment_area)
 *                     h = 0
 */
        __pyx_t_1 = ((__pyx_v_segment_area != 0.0) != 0);
        if (__pyx_t_1) {

          /* "pyFAI/ext/_distortion.pyx":202
 *                 segment_area = calc_area(start, P, slope, intercept)
 *                 if segment_area != 0:
 *                     abs_area = fabs(segment_area)             # <<<<<<<<<<<<<<
 *                     h = 0
 *                     dA = fabs(dP)
 */
          __pyx_v_abs_area = fabs(__pyx_v_segment_area);

          /* "pyFAI/ext/_distortion.pyx":203
 *                 if segment_area != 0:
 *                     abs_area = fabs(segment_area)
 *                     h = 0             # <<<<<<<<<<<<<<
 *                     dA = fabs(dP)
 *                     while abs_area > 0:
 */
          __pyx_v_h = 0;

          /* "pyFAI/ext/_distortion.pyx":204
 *                     abs_area = fabs(segment_area)
 *                     h = 0
 *                     dA = fabs(dP)             # <<<<<<<<<<<<<<
 *                     while abs_area > 0:
 *                         if dA > abs_area:
 */
          __pyx_v_dA = fabs(__pyx_v_dP);

          /* "pyFAI/ext/_distortion.pyx":205
 *                     h = 0
 *                     dA = fabs(dP)
 *                     while abs_area > 0:             # <<<<<<<<<<<<<<
 *                         if dA > abs_area:
 *                             dA = abs_area
 */
          while (1) {
            __pyx_t_1 = ((__pyx_v_abs_area > 0.0) != 0);
            if (!__pyx_t_1) break;

            /* "pyFAI/ext/_distortion.pyx":206
 *                     dA = fabs(dP)
 *                     while abs_area > 0:
 *                         if dA > abs_area:             # <<<<<<<<<<<<<<
 *                             dA = abs_area
 *                             abs_area = -1
 */
            __pyx_t_1 = ((__pyx_v_dA > __pyx_v_abs_area) != 0);
            if (__pyx_t_1) {

              /* "pyFAI/ext/_distortion.pyx":207
 *                     while abs_area > 0:
 *                         if dA > abs_area:
 *                             dA = abs_area             # <<<<<<<<<<<<<<
 *                             abs_area = -1
 *                         box[(<int> P), h] += copysign(dA, segment_area)
 */
              __pyx_v_dA = __pyx_v_abs_area;

              /* "pyFAI/ext/_distortion.pyx":208
 *                         if dA > abs_area:
 *                             dA = abs_area
 *                             abs_area = -1             # <<<<<<<<<<<<<<
 *                         box[(<int> P), h] += copysign(dA, segment_area)
 *                         abs_area -= dA
 */
              __pyx_v_abs_area = -1.0;

              /* "pyFAI/ext/_distortion.pyx":206
 *                     dA = fabs(dP)
 *                     while abs_area > 0:
 *                         if dA > abs_area:             # <<<<<<<<<<<<<<
 *                             dA = abs_area
 *                             abs_area = -1
 */
            }

            /* "pyFAI/ext/_distortion.pyx":209
 *                             dA = abs_area
 *                             abs_area = -1
 *                         box[(<int> P), h] += copysign(dA, segment_area)             # <<<<<<<<<<<<<<
 *                         abs_area -= dA
 *                         h += 1
 */
            __pyx_t_15 = ((int)__pyx_v_P);
            __pyx_t_16 = __pyx_v_h;
            *((__pyx_t_5numpy_float32_t *) ( /* dim=1 */ ((char *) (((__pyx_t_5numpy_float32_t *) ( /* dim=0 */ (__pyx_v_box.data + __pyx_t_15 * __pyx_v_box.strides[0]) )) + __pyx_t_16)) )) += copysign(__pyx_v_dA, __pyx_v_segment_area);

            /* "pyFAI/ext/_distortion.pyx":210
 *                             abs_area = -1
 *                         box[(<int> P), h] += copysign(dA, segment_area)
 *                         abs_area -= dA             # <<<<<<<<<<<<<<
 *                         h += 1
 *             # subsection P1->Pn
 */
            __pyx_v_abs_area = (__pyx_v_abs_area - __pyx_v_dA);

            /* "pyFAI/ext/_distortion.pyx":211
 *                         box[(<int> P), h] += copysign(dA, segment_area)
 *                         abs_area -= dA
 *                         h += 1             # <<<<<<<<<<<<<<
 *             # subsection P1->Pn
 *             for i in range((<int> start), (<int> ceil(stop)), -1):
 */
            __pyx_v_h = (__pyx_v_h + 1);
          }

          /* "pyFAI/ext/_distortion.pyx":201
 *             if dP < 0:
 *                 segment_area = calc_area(start, P, slope, intercept)
 *                 if segment_area != 0:             # <<<<<<<<<<<<<<
 *                     abs_area = fabs(segment_area)
 *                     h = 0
 */
        }

        /* "pyFAI/ext/_distortion.pyx":199
 *         else:
 *             dP = P - start
 *             if dP < 0:             # <<<<<<<<<<<<<<
 *                 segment_area = calc_area(start, P, slope, intercept)
 *                 if segment_area != 0:
 */
      }

      /* "pyFAI/ext/_distortion.pyx":213
 *                         h += 1
 *             # subsection P1->Pn
 *             for i in range((<int> start), (<int> ceil(stop)), -1):             # <<<<<<<<<<<<<<
 *                 segment_area = calc_area(i, i - 1, slope, intercept)
 *                 if segment_area != 0:
 */
      __pyx_t_6 = ((int)ceil(__pyx_v_stop));
      __pyx_t_7 = __pyx_t_6;
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 *                 D1 -= foffset1
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 */
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 */
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 */
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 */
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 */
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 *                     pCD = (D1 - C1) / (D0 - C0)
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 */
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 */
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 *                 if A0 != D0:             # <<<<<<<<<<<<<<
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 */
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 */
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 *                 integrate(buffer, D0, C0, pCD, cCD)             # <<<<<<<<<<<<<<
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 *                 integrate(buffer, D0, C0, pCD, cCD)
 *                 integrate(buffer, A0, D0, pDA, cDA)             # <<<<<<<<<<<<<<
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 *                 area = 0.5 * ((C0 - A0) * (D1 - B1) - (C1 - A1) * (D0 - B0))
 */
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 *                 for ms in range(box_size0):
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 * 
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 *                 for ms in range(box_size0):
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 *                     pBC = cBC = 0.0
 *                 if D0 != C0:             # <<<<<<<<<<<<<<
 *                     pCD = (D1 - C1) / (D0 - C0)
 *                     cCD = C1 - pCD * C0
 */
            __pyx_t_9 = ((__pyx_v_D0 != __pyx_v_C0) != 0);
            if (__pyx_t_9) {

              /* "pyFAI/ext/_distortion.pyx":607
 *                     pBC = cBC = 0.0
 *                 if D0 != C0:
 *                     pCD = (D1 - C1) / (D0 - C0)             # <<<<<<<<<<<<<<
 *                     cCD = C1 - pCD * C0
 *                 else:
 */
              __pyx_v_pCD = ((__pyx_v_D1 - __pyx_v_C1) / (__pyx_v_D0 - __pyx_v_C0));

              /* "pyFAI/ext/_distortion.pyx":608
 *                 if D0 != C0:
 *                     pCD = (D1 - C1) / (D0 - C0)
 *                     cCD = C1 - pCD * C0             # <<<<<<<<<<<<<<
 *                 else:
 *                     pCD = cCD = 0.0
 */
              __pyx_v_cCD = (__pyx_v_C1 - (__pyx_v_pCD * __pyx_v_C0));

              /* "pyFAI/ext/_distortion.pyx":606
 *                 else:
 *                     pBC = cBC = 0.0
 *                 if D0 != C0:             # <<<<<<<<<<<<<<
 *                     pCD = (D1 - C1) / (D0 - C0)
 *                     cCD = C1 - pCD * C0
 */
              goto __pyx_L28;
            }

            /* "pyFAI/ext/_distortion.pyx":610
 *                     cCD = C1 - pCD * C0
 *                 else:
 *                     pCD = cCD = 0.0             # <<<<<<<<<<<<<<
 *                 if A0 != D0:
 *                     pDA = (A1 - D1) / (A0 - D0)
 */
            /*else*/ {
              __pyx_v_pCD = 0.0;
              __pyx_v_cCD = 0.0;
            }
            __pyx_L28:;

            /* "pyFAI/ext/_distortion.pyx":611
 *                 else:
 *                     pCD = cCD = 0.0
 *                 if A0 != D0:             # <<<<<<<<<<<<<<
 *                     pDA = (A1 - D1) / (A0 - D0)
 *                     cDA = D1 - pDA * D0
 */
            __pyx_t_9 = ((__pyx_v_A0 != __pyx_v_D0) != 0);
            if (__pyx_t_9) {

              /* "pyFAI/ext/_distortion.pyx":612
 *                     pCD = cCD = 0.0
 *                 if A0 != D0:
 *                     pDA = (A1 - D1) / (A0 - D0)             # <<<<<<<<<<<<<<
 *                     cDA = D1 - pDA * D0
 *                 else:
 */
              __pyx_v_pDA = ((__pyx_v_A1 - __pyx_v_D1) / (__pyx_v_A0 - __pyx_v_D0));

              /* "pyFAI/ext/_distortion.pyx":613
 *                 if A0 != D0:
 *                     pDA = (A1 - D1) / (A0 - D0)
 *                     cDA = D1 - pDA * D0             # <<<<<<<<<<<<<<
 *                 else:
 *                     pDA = cDA = 0.0
 */
              __pyx_v_cDA = (__pyx_v_D1 - (__pyx_v_pDA * __pyx_v_D0));

              /* "pyFAI/ext/_distortion.pyx":611
 *                 else:
 *                     pCD = cCD = 0.0
 *                 if A0 != D0:             # <<<<<<<<<<<<<<
 *                     pDA = (A1 - D1) / (A0 - D0)
 *                     cDA = D1 - pDA * D0
 */
              goto __pyx_L29;
            }

            /* "pyFAI/ext/_distortion.pyx":615
 *                     cDA = D1 - pDA * D0
 *                 else:
 *                     pDA = cDA = 0.0             # <<<<<<<<<<<<<<
 *                 integrate(buffer, B0, A0, pAB, cAB)
 *                 integrate(buffer, A0, D0, pDA, cDA)
 */
            /*else*/ {
              __pyx_v_pDA = 0.0;
              __pyx_v_cDA = 0.0;
            }
            __pyx_L29:;

            /* "pyFAI/ext/_distortion.pyx":616
 *                 else:
 *                     pDA = cDA = 0.0
 *                 integrate(buffer, B0, A0, pAB, cAB)             # <<<<<<<<<<<<<<
 *                 integrate(buffer, A0, D0, pDA, cDA)
 *                 integrate(buffer, D0, C0, pCD, cCD)
 */
            __pyx_f_5pyFAI_3ext_11_distortion_integrate(__pyx_v_buffer, __pyx_v_B0, __pyx_v_A0, __pyx_v_pAB, __pyx_v_cAB);

            /* "pyFAI/ext/_distortion.pyx":617
 *                     pDA = cDA = 0.0
 *                 integrate(buffer, B0, A0, pAB, cAB)
 *                 integrate(buffer, A0, D0, pDA, cDA)             # <<<<<<<<<<<<<<
 *                 integrate(buffer, D0, C0, pCD, cCD)
 *                 integrate(buffer, C0, B0, pBC, cBC)
 */
            __pyx_f_5pyFAI_3ext_11_distortion_integrate(__pyx_v_buffer, __pyx_v_A0, __pyx_v_D0, __pyx_v_pDA, __pyx_v_cDA);

            /* "pyFAI/ext/_distortion.pyx":618
 *                 integrate(buffer, B0, A0, pAB, cAB)
 *                 integrate(buffer, A0, D0, pDA, cDA)
 *                 integrate(buffer, D0, C0, pCD, cCD)             # <<<<<<<<<<<<<<
 *                 integrate(buffer, C0, B0, pBC, cBC)
 *                 area = 0.5 * ((C0 - A0) * (D1 - B1) - (C1 - A1) * (D0 - B0))
 */
            __pyx_f_5pyFAI_3ext_11_distortion_integrate(__pyx_v_buffer, __pyx_v_D0, __pyx_v_C0, __pyx_v_pCD, __pyx_v_cCD);

            /* "pyFAI/ext/_distortion.pyx":619
 *                 integrate(buffer, A0, D0, pDA, cDA)
 *                 integrate(buffer, D0, C0, pCD, cCD)
 *                 integrate(buffer, C0, B0, pBC, cBC)             # <<<<<<<<<<<<<<
 *                 area = 0.5 * ((C0 - A0) * (D1 - B1) - (C1 - A1) * (D0 - B0))
 *                 for ms in range(box_size0):
 */
            __pyx_f_5pyFAI_3ext_11_distortion_integrate(__pyx_v_buffer, __pyx_v_C0, __pyx_v_B0, __pyx_v_pBC, __pyx_v_cBC);

            /* "pyFAI/ext/_distortion.pyx":620
 *                 integrate(buffer, D0, C0, pCD, cCD)
 *                 integrate(buffer, C0, B0, pBC, cBC)
 *                 area = 0.5 * ((C0 - A0) * (D1 - B1) - (C1 - A1) * (D0 - B0))             # <<<<<<<<<<<<<<
 *                 for ms in range(box_size0):
 *                     ml = ms + offset0
 */
            __pyx_v_area = (0.5 * (((__pyx_v_C0 - __pyx_v_A0) * (__pyx_v_D1 - __pyx_v_B1)) - ((__pyx_v_C1 - __pyx_v_A1) * (__pyx_v_D0 - __pyx_v_B0))));

            /* "pyFAI/ext/_distortion.pyx":621
 *                 integrate(buffer, C0, B0, pBC, cBC)
 *                 area = 0.5 * ((C0 - A0) * (D1 - B1) - (C1 - A1) * (D0 - B0))
 *                 for ms in range(box_size0):             # <<<<<<<<<<<<<<
 *                     ml = ms + offset0
 *                     if ml < 0 or ml >= shape0:
 */
            __pyx_t_56 = __pyx_v_box_size0;
            __pyx_t_57 = __pyx_t_56;
            for (__pyx_t_58 = 0; __pyx_t_58 < __pyx_t_57; __pyx_t_58+=1) {
              __pyx_v_ms = __pyx_t_58;

              /* "pyFAI/ext/_distortion.pyx":622
 *                 area = 0.5 * ((C0 - A0) * (D1 - B1) - (C1 - A1) * (D0 - B0))
 *                 for ms in range(box_size0):
 *                     ml = ms + offset0             # <<<<<<<<<<<<<<
 *                     if ml < 0 or ml >= shape0:
 *                         continue
 */
              __pyx_v_ml = (__pyx_v_ms + __pyx_v_offset0);

              /* "pyFAI/ext/_distortion.pyx":623
 *                 for ms in range(box_size0):
 *                     ml = ms + offset0
 *                     if ml < 0 or ml >= shape0:             # <<<<<<<<<<<<<<
 *                         continue
 *                     for ns in range(box_size1):
 */
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              } else {
                __pyx_t_9 = __pyx_t_21;
                goto __pyx_L33_bool_binop_done;
              }
              __pyx_t_21 = ((__pyx_v_ml >= __pyx_v_shape0) != 0);
              __pyx_t_9 = __pyx_t_21;
              __pyx_L33_bool_binop_done:;
              if (__pyx_t_9) {

                /* "pyFAI/ext/_distortion.pyx":624
 *                     ml = ms + offset0
 *                     if ml < 0 or ml >= shape0:
 *                         continue             # <<<<<<<<<<<<<<
 *                     for ns in range(box_size1):
 *                         # ms,ns are indexes of the corrected image in short form, ml & nl are the same
 */
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                /* "pyFAI/ext/_distortion.pyx":623
 *                 for ms in range(box_size0):
 *                     ml = ms + offset0
 *                     if ml < 0 or ml >= shape0:             # <<<<<<<<<<<<<<
 *                         continue
 *                     for ns in range(box_size1):
 */
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              /* "pyFAI/ext/_distortion.pyx":625
 *                     if ml < 0 or ml >= shape0:
 *                         continue
 *                     for ns in range(box_size1):             # <<<<<<<<<<<<<<
 *                         # ms,ns are indexes of the corrected image in short form, ml & nl are the same
 *                         nl = ns + offset1
 */
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                /* "pyFAI/ext/_distortion.pyx":627
 *                     for ns in range(box_size1):
 *                         # ms,ns are indexes of the corrected image in short form, ml & nl are the same
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 *                         if nl < 0 or nl >= shape1:
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 */
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                /* "pyFAI/ext/_distortion.pyx":628
 *                         # ms,ns are indexes of the corrected image in short form, ml & nl are the same
 *                         nl = ns + offset1
 *                         if nl < 0 or nl >= shape1:             # <<<<<<<<<<<<<<
 *                             continue
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 */
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                  /* "pyFAI/ext/_distortion.pyx":629
 *                         nl = ns + offset1
 *                         if nl < 0 or nl >= shape1:
 *                             continue             # <<<<<<<<<<<<<<
 *                         value = buffer[ms, ns] / area
 *                         if value == 0.0:
 */
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                  /* "pyFAI/ext/_distortion.pyx":628
 *                         # ms,ns are indexes of the corrected image in short form, ml & nl are the same
 *                         nl = ns + offset1
 *                         if nl < 0 or nl >= shape1:             # <<<<<<<<<<<<<<
 *                             continue
 *                         value = buffer[ms, ns] / area
 */
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                /* "pyFAI/ext/_distortion.pyx":630
 *                         if nl < 0 or nl >= shape1:
 *                             continue
 *                         value = buffer[ms, ns] / area             # <<<<<<<<<<<<<<
 *                         if value == 0.0:
 *                             continue
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                /* "pyFAI/ext/_distortion.pyx":631
 *                             continue
 *                         value = buffer[ms, ns] / area
 *                         if value == 0.0:             # <<<<<<<<<<<<<<
 *                             continue
 *                         if value < 0.0 or value > 1.0001:
 */
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                  /* "pyFAI/ext/_distortion.pyx":632
 *                         value = buffer[ms, ns] / area
 *                         if value == 0.0:
 *                             continue             # <<<<<<<<<<<<<<
 *                         if value < 0.0 or value > 1.0001:
 *                             # here we print pathological cases for debugging
 */
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                  /* "pyFAI/ext/_distortion.pyx":631
 *                             continue
 *                         value = buffer[ms, ns] / area
 *                         if value == 0.0:             # <<<<<<<<<<<<<<
 *                             continue
 *                         if value < 0.0 or value > 1.0001:
 */
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 *                         if value == 0.0:
 *                             continue
 *                         if value < 0.0 or value > 1.0001:             # <<<<<<<<<<<<<<
 *                             # here we print pathological cases for debugging
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 *                         if value < 0.0 or value > 1.0001:
 *                             # here we print pathological cases for debugging
 *                             if err_cnt < 1000:             # <<<<<<<<<<<<<<
 *                                 with gil:
 *                                     print(i, j, ms, box_size0, ns, box_size1, buffer[ms, ns], area, value, buffer[0, 0], buffer[0, 1], buffer[1, 0], buffer[1, 1])
 */
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                    /* "pyFAI/ext/_distortion.pyx":636
 *                             # here we print pathological cases for debugging
 *                             if err_cnt < 1000:
 *                                 with gil:             # <<<<<<<<<<<<<<
 *                                     print(i, j, ms, box_size0, ns, box_size1, buffer[ms, ns], area, value, buffer[0, 0], buffer[0, 1], buffer[1, 0], buffer[1, 1])
 *                                     print(" A0=%s; A1=%s; B0=%s; B1=%s; C0=%s; C1=%s; D0=%s; D1=%s" % (A0, A1, B0, B1, C0, C1, D0, D1))
 */
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                        #endif
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                          /* "pyFAI/ext/_distortion.pyx":637
 *                             if err_cnt < 1000:
 *                                 with gil:
 *                                     print(i, j, ms, box_size0, ns, box_size1, buffer[ms, ns], area, value, buffer[0, 0], buffer[0, 1], buffer[1, 0], buffer[1, 1])             # <<<<<<<<<<<<<<
 *                                     print(" A0=%s; A1=%s; B0=%s; B1=%s; C0=%s; C1=%s; D0=%s; D1=%s" % (A0, A1, B0, B1, C0, C1, D0, D1))
 *                                 err_cnt += 1
 */
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                          /* "pyFAI/ext/_distortion.pyx":638
 *                                 with gil:
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                        /* "pyFAI/ext/_distortion.pyx":636
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 *                                     print(i, j, ms, box_size0, ns, box_size1, buffer[ms, ns], area, value, buffer[0, 0], buffer[0, 1], buffer[1, 0], buffer[1, 1])
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 */
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                  /* "pyFAI/ext/_distortion.pyx":640
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                  __pyx_L23:;
                }
            }

            /* "pyFAI/ext/_distortion.pyx":728
 *             box_size0 = (<int> _ceil_max4(A0, B0, C0, D0)) - offset0
 *             box_size1 = (<int> _ceil_max4(A1, B1, C1, D1)) - offset1
 *             if (box_size0 > delta0) or (box_size1 > delta1):             # <<<<<<<<<<<<<<
 *                 # Increase size of the buffer
 *                 delta0 = offset0 if offset0 > delta0 else delta0
 */
          }

          /* "pyFAI/ext/_distortion.pyx":735
 *                     buffer = numpy.zeros((delta0, delta1), dtype=numpy.float32)
 * 
 *             A0 = A0 - foffset0             # <<<<<<<<<<<<<<
 *             A1 = A1 - foffset1
 *             B0 = B0 - foffset0
 */
          __pyx_v_A0 = (__pyx_v_A0 - __pyx_v_foffset0);

          /* "pyFAI/ext/_distortion.pyx":736
 * 
 *             A0 = A0 - foffset0
 *             A1 = A1 - foffset1             # <<<<<<<<<<<<<<
 *             B0 = B0 - foffset0
 *             B1 = B1 - foffset1
 */
          __pyx_v_A1 = (__pyx_v_A1 - __pyx_v_foffset1);

          /* "pyFAI/ext/_distortion.pyx":737
 *             A0 = A0 - foffset0
 *             A1 = A1 - foffset1
 *             B0 = B0 - foffset0             # <<<<<<<<<<<<<<
 *             B1 = B1 - foffset1
 *             C0 = C0 - foffset0
 */
          __pyx_v_B0 = (__pyx_v_B0 - __pyx_v_foffset0);

          /* "pyFAI/ext/_distortion.pyx":738
 *             A1 = A1 - foffset1
 *             B0 = B0 - foffset0
 *             B1 = B1 - foffset1             # <<<<<<<<<<<<<<
 *             C0 = C0 - foffset0
 *             C1 = C1 - foffset1
 */
          __pyx_v_B1 = (__pyx_v_B1 - __pyx_v_foffset1);

          /* "pyFAI/ext/_distortion.pyx":739
 *             B0 = B0 - foffset0
 *             B1 = B1 - foffset1
 *             C0 = C0 - foffset0             # <<<<<<<<<<<<<<
 *             C1 = C1 - foffset1
 *             D0 = D0 - foffset0
 */
          __pyx_v_C0 = (__pyx_v_C0 - __pyx_v_foffset0);

          /* "pyFAI/ext/_distortion.pyx":740
 *             B1 = B1 - foffset1
 *             C0 = C0 - foffset0
 *             C1 = C1 - foffset1             # <<<<<<<<<<<<<<
 *             D0 = D0 - foffset0
 *             D1 = D1 - foffset1
 */
          __pyx_v_C1 = (__pyx_v_C1 - __pyx_v_foffset1);

          /* "pyFAI/ext/_distortion.pyx":741
 *             C0 = C0 - foffset0
 *             C1 = C1 - foffset1
 *             D0 = D0 - foffset0             # <<<<<<<<<<<<<<
 *             D1 = D1 - foffset1
 *             if B0 != A0:
 */
          __pyx_v_D0 = (__pyx_v_D0 - __pyx_v_foffset0);

          /* "pyFAI/ext/_distortion.pyx":742
 *             C1 = C1 - foffset1
 *             D0 = D0 - foffset0
 *             D1 = D1 - foffset1             # <<<<<<<<<<<<<<
 *             if B0 != A0:
 *                 pAB = (B1 - A1) / (B0 - A0)
 */
          __pyx_v_D1 = (__pyx_v_D1 - __pyx_v_foffset1);

          /* "pyFAI/ext/_distortion.pyx":743
 *             D0 = D0 - foffset0
 *             D1 = D1 - foffset1
 *             if B0 != A0:             # <<<<<<<<<<<<<<
 *                 pAB = (B1 - A1) / (B0 - A0)
 *                 cAB = A1 - pAB * A0
 */
          __pyx_t_7 = ((__pyx_v_B0 != __pyx_v_A0) != 0);
          if (__pyx_t_7) {

            /* "pyFAI/ext/_distortion.pyx":744
 *             D1 = D1 - foffset1
 *             if B0 != A0:
 *                 pAB = (B1 - A1) / (B0 - A0)             # <<<<<<<<<<<<<<
 *                 cAB = A1 - pAB * A0
 *             else:
 */
            __pyx_v_pAB = ((__pyx_v_B1 - __pyx_v_A1) / (__pyx_v_B0 - __pyx_v_A0));

            /* "pyFAI/ext/_distortion.pyx":745
 *             if B0 != A0:
 *                 pAB = (B1 - A1) / (B0 - A0)
 *                 cAB = A1 - pAB * A0             # <<<<<<<<<<<<<<
 *             else:
 *                 pAB = cAB = 0.0
 */
            __pyx_v_cAB = (__pyx_v_A1 - (__pyx_v_pAB * __pyx_v_A0));

            /* "pyFAI/ext/_distortion.pyx":743
 *             D0 = D0 - foffset0
 *             D1 = D1 - foffset1
 *             if B0 != A0:             # <<<<<<<<<<<<<<
 *                 pAB = (B1 - A1) / (B0 - A0)
 *                 cAB = A1 - pAB * A0
 */
            goto __pyx_L24;
          }

          /* "pyFAI/ext/_distortion.pyx":747
 *                 cAB = A1 - pAB * A0
 *             else:
 *                 pAB = cAB = 0.0             # <<<<<<<<<<<<<<
 *             if C0 != B0:
 *                 pBC = (C1 - B1) / (C0 - B0)
 */
          /*else*/ {
            __pyx_v_pAB = 0.0;
            __pyx_v_cAB = 0.0;
          }
          __pyx_L24:;

          /* "pyFAI/ext/_distortion.pyx":748
 *             else:
 *                 pAB = cAB = 0.0
 *             if C0 != B0:             # <<<<<<<<<<<<<<
 *                 pBC = (C1 - B1) / (C0 - B0)
 *                 cBC = B1 - pBC * B0
 */
          __pyx_t_7 = ((__pyx_v_C0 != __pyx_v_B0) != 0);
          if (__pyx_t_7) {

            /* "pyFAI/ext/_distortion.pyx":749
 *                 pAB = cAB = 0.0
 *             if C0 != B0:
 *                 pBC = (C1 - B1) / (C0 - B0)             # <<<<<<<<<<<<<<
 *                 cBC = B1 - pBC * B0
 *             else:
 */
            __pyx_v_pBC = ((__pyx_v_C1 - __pyx_v_B1) / (__pyx_v_C0 - __pyx_v_B0));

            /* "pyFAI/ext/_distortion.pyx":750
 *             if C0 != B0:
 *                 pBC = (C1 - B1) / (C0 - B0)
 *                 cBC = B1 - pBC * B0             # <<<<<<<<<<<<<<
 *             else:
 *                 pBC = cBC = 0.0
 */
            __pyx_v_cBC = (__pyx_v_B1 - (__pyx_v_pBC * __pyx_v_B0));

            /* "pyFAI/ext/_distortion.pyx":748
 *             else:
 *                 pAB = cAB = 0.0
 *             if C0 != B0:             # <<<<<<<<<<<<<<
 *                 pBC = (C1 - B1) / (C0 - B0)
 *                 cBC = B1 - pBC * B0
 */
            goto __pyx_L25;
          }

          /* "pyFAI/ext/_distortion.pyx":752
 *                 cBC = B1 - pBC * B0
 *             else:
 *                 pBC = cBC = 0.0             # <<<<<<<<<<<<<<
 *             if D0 != C0:
 *                 pCD = (D1 - C1) / (D0 - C0)
 */
          /*else*/ {
            __pyx_v_pBC = 0.0;
            __pyx_v_cBC = 0.0;
          }
          __pyx_L25:;

          /* "pyFAI/ext/_distortion.pyx":753
 *             else:
 *                 pBC = cBC = 0.0
 *             if D0 != C0:             # <<<<<<<<<<<<<<
 *                 pCD = (D1 - C1) / (D0 - C0)
 *                 cCD = C1 - pCD * C0
 */
          __pyx_t_7 = ((__pyx_v_D0 != __pyx_v_C0) != 0);
          if (__pyx_t_7) {

            /* "pyFAI/ext/_distortion.pyx":754
 *                 pBC = cBC = 0.0
 *             if D0 != C0:
 *                 pCD = (D1 - C1) / (D0 - C0)             # <<<<<<<<<<<<<<
 *                 cCD = C1 - pCD * C0
 *             else:
 */
            __pyx_v_pCD = ((__pyx_v_D1 - __pyx_v_C1) / (__pyx_v_D0 - __pyx_v_C0));

            /* "pyFAI/ext/_distortion.pyx":755
 *             if D0 != C0:
 *                 pCD = (D1 - C1) / (D0 - C0)
 *                 cCD = C1 - pCD * C0             # <<<<<<<<<<<<<<
 *             else:
 *                 pCD = cCD = 0.0
 */
            __pyx_v_cCD = (__pyx_v_C1 - (__pyx_v_pCD * __pyx_v_C0));

            /* "pyFAI/ext/_distortion.pyx":753
 *             else:
 *                 pBC = cBC = 0.0
 *             if D0 != C0:             # <<<<<<<<<<<<<<
 *                 pCD = (D1 - C1) / (D0 - C0)
 *                 cCD = C1 - pCD * C0
 */
            goto __pyx_L26;
          }

          /* "pyFAI/ext/_distortion.pyx":757
 *                 cCD = C1 - pCD * C0
 *             else:
 *                 pCD = cCD = 0.0             # <<<<<<<<<<<<<<
 *             if A0 != D0:
 *                 pDA = (A1 - D1) / (A0 - D0)
 */
          /*else*/ {
            __pyx_v_pCD = 0.0;
            __pyx_v_cCD = 0.0;
          }
          __pyx_L26:;

          /* "pyFAI/ext/_distortion.pyx":758
 *             else:
 *                 pCD = cCD = 0.0
 *             if A0 != D0:             # <<<<<<<<<<<<<<
 *                 pDA = (A1 - D1) / (A0 - D0)
 *                 cDA = D1 - pDA * D0
 */
          __pyx_t_7 = ((__pyx_v_A0 != __pyx_v_D0) != 0);
          if (__pyx_t_7) {

            /* "pyFAI/ext/_distortion.pyx":759
 *                 pCD = cCD = 0.0
 *             if A0 != D0:
 *                 pDA = (A1 - D1) / (A0 - D0)             # <<<<<<<<<<<<<<
 *                 cDA = D1 - pDA * D0
 *             else:
 */
            __pyx_v_pDA = ((__pyx_v_A1 - __pyx_v_D1) / (__pyx_v_A0 - __pyx_v_D0));

            /* "pyFAI/ext/_distortion.pyx":760
 *             if A0 != D0:
 *                 pDA = (A1 - D1) / (A0 - D0)
 *                 cDA = D1 - pDA * D0             # <<<<<<<<<<<<<<
 *             else:
 *                 pDA = cDA = 0.0
 */
            __pyx_v_cDA = (__pyx_v_D1 - (__pyx_v_pDA * __pyx_v_D0));

            /* "pyFAI/ext/_distortion.pyx":758
 *             else:
 *                 pCD = cCD = 0.0
 *             if A0 != D0:             # <<<<<<<<<<<<<<
 *                 pDA = (A1 - D1) / (A0 - D0)
 *                 cDA = D1 - pDA * D0
 */
            goto __pyx_L27;
          }

          /* "pyFAI/ext/_distortion.pyx":762
 *                 cDA = D1 - pDA * D0
 *             else:
 *                 pDA = cDA = 0.0             # <<<<<<<<<<<<<<
 * 
 *             integrate(buffer, B0, A0, pAB, cAB)
 */
          /*else*/ {
            __pyx_v_pDA = 0.0;
            __pyx_v_cDA = 0.0;
          }
          __pyx_L27:;

          /* "pyFAI/ext/_distortion.pyx":764
 *                 pDA = cDA = 0.0
 * 
 *             integrate(buffer, B0, A0, pAB, cAB)             # <<<<<<<<<<<<<<
 *             integrate(buffer, A0, D0, pDA, cDA)
 *             integrate(buffer, D0, C0, pCD, cCD)
 */
          __pyx_f_5pyFAI_3ext_11_distortion_integrate(__pyx_v_buffer, __pyx_v_B0, __pyx_v_A0, __pyx_v_pAB, __pyx_v_cAB);

          /* "pyFAI/ext/_distortion.pyx":765
 * 
 *             integrate(buffer, B0, A0, pAB, cAB)
 *             integrate(buffer, A0, D0, pDA, cDA)             # <<<<<<<<<<<<<<
 *             integrate(buffer, D0, C0, pCD, cCD)
 *             integrate(buffer, C0, B0, pBC, cBC)
 */
          __pyx_f_5pyFAI_3ext_11_distortion_integrate(__pyx_v_buffer, __pyx_v_A0, __pyx_v_D0, __pyx_v_pDA, __pyx_v_cDA);

          /* "pyFAI/ext/_distortion.pyx":766
 *             integrate(buffer, B0, A0, pAB, cAB)
 *             integrate(buffer, A0, D0, pDA, cDA)
 *             integrate(buffer, D0, C0, pCD, cCD)             # <<<<<<<<<<<<<<
 *             integrate(buffer, C0, B0, pBC, cBC)
 *             area = 0.5 * ((C0 - A0) * (D1 - B1) - (C1 - A1) * (D0 - B0))
 */
          __pyx_f_5pyFAI_3ext_11_distortion_integrate(__pyx_v_buffer, __pyx_v_D0, __pyx_v_C0, __pyx_v_pCD, __pyx_v_cCD);

          /* "pyFAI/ext/_distortion.pyx":767
 *             integrate(buffer, A0, D0, pDA, cDA)
 *             integrate(buffer, D0, C0, pCD, cCD)
 *             integrate(buffer, C0, B0, pBC, cBC)             # <<<<<<<<<<<<<<
 *             area = 0.5 * ((C0 - A0) * (D1 - B1) - (C1 - A1) * (D0 - B0))
 *             for ms in range(box_size0):
 */
          __pyx_f_5pyFAI_3ext_11_distortion_integrate(__pyx_v_buffer, __pyx_v_C0, __pyx_v_B0, __pyx_v_pBC, __pyx_v_cBC);

          /* "pyFAI/ext/_distortion.pyx":768
 *             integrate(buffer, D0, C0, pCD, cCD)
 *             integrate(buffer, C0, B0, pBC, cBC)
 *             area = 0.5 * ((C0 - A0) * (D1 - B1) - (C1 - A1) * (D0 - B0))             # <<<<<<<<<<<<<<
 *             for ms in range(box_size0):
 *                 ml = ms + offset0
 */
          __pyx_v_area = (0.5 * (((__pyx_v_C0 - __pyx_v_A0) * (__pyx_v_D1 - __pyx_v_B1)) - ((__pyx_v_C1 - __pyx_v_A1) * (__pyx_v_D0 - __pyx_v_B0))));

          /* "pyFAI/ext/_distortion.pyx":769
 *             integrate(buffer, C0, B0, pBC, cBC)
 *             area = 0.5 * ((C0 - A0) * (D1 - B1) - (C1 - A1) * (D0 - B0))
 *             for ms in range(box_size0):             # <<<<<<<<<<<<<<
 *                 ml = ms + offset0
 *                 if ml < 0 or ml >= shape_out0:
 */
          __pyx_t_49 = __pyx_v_box_size0;
          __pyx_t_50 = __pyx_t_49;
          for (__pyx_t_51 = 0; __pyx_t_51 < __pyx_t_50; __pyx_t_51+=1) {
            __pyx_v_ms = __pyx_t_51;

            /* "pyFAI/ext/_distortion.pyx":770
 *             area = 0.5 * ((C0 - A0) * (D1 - B1) - (C1 - A1) * (D0 - B0))
 *             for ms in range(box_size0):
 *                 ml = ms + offset0             # <<<<<<<<<<<<<<
 *                 if ml < 0 or ml >= shape_out0:
 *                     continue
 */
            __pyx_v_ml = (__pyx_v_ms + __pyx_v_offset0);

            /* "pyFAI/ext/_distortion.pyx":771
 *             for ms in range(box_size0):
 *                 ml = ms + offset0
 *                 if ml < 0 or ml >= shape_out0:             # <<<<<<<<<<<<<<
 *                     continue
 *                 for ns in range(box_size1):
 */
            __pyx_t_14 = ((__pyx_v_ml < 0) != 0);
            if (!__pyx_t_14) {
            } else {
              __pyx_t_7 = __pyx_t_14;
              goto __pyx_L31_bool_binop_done;
            }
            __pyx_t_14 = ((__pyx_v_ml >= __pyx_v_shape_out0) != 0);
            __pyx_t_7 = __pyx_t_14;
            __pyx_L31_bool_binop_done:;
            if (__pyx_t_7) {

              /* "pyFAI/ext/_distortion.pyx":772
 *                 ml = ms + offset0
 *                 if ml < 0 or ml >= shape_out0:
 *                     continue             # <<<<<<<<<<<<<<
 *                 for ns in range(box_size1):
 *                     # ms,ns are indexes of the corrected image in short form, ml & nl are the same
 */
              goto __pyx_L28_continue;

              /* "pyFAI/ext/_distortion.pyx":771
 *             for ms in range(box_size0):
 *                 ml = ms + offset0
 *                 if ml < 0 or ml >= shape_out0:             # <<<<<<<<<<<<<<
 *                     continue
 *                 for ns in range(box_size1):
 */
            }

            /* "pyFAI/ext/_distortion.pyx":773
 *                 if ml < 0 or ml >= shape_out0:
 *                     continue
 *                 for ns in range(box_size1):             # <<<<<<<<<<<<<<
 *                     # ms,ns are indexes of the corrected image in short form, ml & nl are the same
 *                     nl = ns + offset1
 */
            __pyx_t_52 = __pyx_v_box_size1;
            __pyx_t_53 = __pyx_t_52;
            for (__pyx_t_54 = 0; __pyx_t_54 < __pyx_t_53; __pyx_t_54+=1) {
              __pyx_v_ns = __pyx_t_54;

              /* "pyFAI/ext/_distortion.pyx":775
 *                 for ns in range(box_size1):
 *                     # ms,ns are indexes of the corrected image in short form, ml & nl are the same
 *                     nl = ns + offset1             # <<<<<<<<<<<<<<
 *                     if nl < 0 or nl >= shape_out1:
 *                         continue
 */
              __pyx_v_nl = (__pyx_v_ns + __pyx_v_offset1);

              /* "pyFAI/ext/_distortion.pyx":776
 *                     # ms,ns are indexes of the corrected image in short form, ml & nl are the same
 *                     nl = ns + offset1
 *                     if nl < 0 or nl >= shape_out1:             # <<<<<<<<<<<<<<
 *                         continue
 *                     value = buffer[ms, ns] / area
 */
              __pyx_t_14 = ((__pyx_v_nl < 0) != 0);
              if (!__pyx_t_14) {
              } else {
                __pyx_t_7 = __pyx_t_14;
                goto __pyx_L36_bool_binop_done;
              }
              __pyx_t_14 = ((__pyx_v_nl >= __pyx_v_shape_out1) != 0);
              __pyx_t_7 = __pyx_t_14;
              __pyx_L36_bool_binop_done:;
              if (__pyx_t_7) {

                /* "pyFAI/ext/_distortion.pyx":777
 *                     nl = ns + offset1
 *                     if nl < 0 or nl >= shape_out1:
 *                         continue             # <<<<<<<<<<<<<<
 *                     value = buffer[ms, ns] / area
 *                     if value == 0.0:
 */
                goto __pyx_L33_continue;

                /* "pyFAI/ext/_distortion.pyx":776
 *                     # ms,ns are indexes of the corrected image in short form, ml & nl are the same
 *                     nl = ns + offset1
 *                     if nl < 0 or nl >= shape_out1:             # <<<<<<<<<<<<<<
 *                         continue
 *                     value = buffer[ms, ns] / area
 */
              }

              /* "pyFAI/ext/_distortion.pyx":778
 *                     if nl < 0 or nl >= shape_out1:
 *                         continue
 *                     value = buffer[ms, ns] / area             # <<<<<<<<<<<<<<
 *                     if value == 0.0:
 *                         continue
 */
              __pyx_t_55 = __pyx_v_ms;
              __pyx_t_56 = __pyx_v_ns;
              if (__pyx_t_55 < 0) __pyx_t_55 += __pyx_v_buffer.shape[0];
              if (__pyx_t_56 < 0) __pyx_t_56 += __pyx_v_buffer.shape[1];
              __pyx_v_value = ((*((__pyx_t_5numpy_float32_t *) ( /* dim=1 */ ((char *) (((__pyx_t_5numpy_float32_t *) ( /* dim=0 */ (__pyx_v_buffer.data + __pyx_t_55 * __pyx_v_buffer.strides[0]) )) + __pyx_t_56)) ))) / ((__pyx_t_5numpy_float32_t)__pyx_v_area));

              /* "pyFAI/ext/_distortion.pyx":779
 *                         continue
 *                     value = buffer[ms, ns] / area
 *                     if value == 0.0:             # <<<<<<<<<<<<<<
 *                         continue
 *                     if value < 0.0 or value > 1.0001:
 */
              __pyx_t_7 = ((__pyx_v_value == 0.0) != 0);
              if (__pyx_t_7) {

                /* "pyFAI/ext/_distortion.pyx":780
 *                     value = buffer[ms, ns] / area
 *                     if value == 0.0:
 *                         continue             # <<<<<<<<<<<<<<
 *                     if value < 0.0 or value > 1.0001:
 *                         # here we print pathological cases for debugging
 */
                goto __pyx_L33_continue;

                /* "pyFAI/ext/_distortion.pyx":779
 *                         continue
 *                     value = buffer[ms, ns] / area
 *                     if value == 0.0:             # <<<<<<<<<<<<<<
 *                         continue
 *                     if value < 0.0 or value > 1.0001:
 */
              }

              /* "pyFAI/ext/_distortion.pyx":781
 *                     if value == 0.0:
 *                         continue
 *                     if value < 0.0 or value > 1.0001:             # <<<<<<<<<<<<<<
 *                         # here we print pathological cases for debugging
 *                         if err_cnt < 1000:
 */
              __pyx_t_14 = ((__pyx_v_value < 0.0) != 0);
              if (!__pyx_t_14) {
              } else {
                __pyx_t_7 = __pyx_t_14;
                goto __pyx_L40_bool_binop_done;
              }
              __pyx_t_14 = ((__pyx_v_value > 1.0001) != 0);
              __pyx_t_7 = __pyx_t_14;
              __pyx_L40_bool_binop_done:;
              if (__pyx_t_7) {

                /* "pyFAI/ext/_distortion.pyx":783
 *                     if value < 0.0 or value > 1.0001:
 *                         # here we print pathological cases for debugging
 *                         if err_cnt < 1000:             # <<<<<<<<<<<<<<
 *                             with gil:
 *                                 print(i, j, ms, box_size0, ns, box_size1, buffer[ms, ns], area, value, buffer[0, 0], buffer[0, 1], buffer[1, 0], buffer[1, 1])
 */
                __pyx_t_7 = ((__pyx_v_err_cnt < 0x3E8) != 0);
                if (__pyx_t_7) {

                  /* "pyFAI/ext/_distortion.pyx":784
 *                         # here we print pathological cases for debugging
 *                         if err_cnt < 1000:
 *                             with gil:             # <<<<<<<<<<<<<<
 *                                 print(i, j, ms, box_size0, ns, box_size1, buffer[ms, ns], area, value, buffer[0, 0], buffer[0, 1], buffer[1, 0], buffer[1, 1])
 *                                 print(" A0=%s; A1=%s; B0=%s; B1=%s; C0=%s; C1=%s; D0=%s; D1=%s" % (A0, A1, B0, B1, C0, C1, D0, D1))
 */
                  {
                      #ifdef WITH_THREAD
                      PyGILState_STATE __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
                      #endif
                      /*try:*/ {

                        /* "pyFAI/ext/_distortion.pyx":785
 *                         if err_cnt < 1000:
 *                             with gil:
 *                                 print(i, j, ms, box_size0, ns, box_size1, buffer[ms, ns], area, value, buffer[0, 0], buffer[0, 1], buffer[1, 0], buffer[1, 1])             # <<<<<<<<<<<<<<
 *                                 print(" A0=%s; A1=%s; B0=%s; B1=%s; C0=%s; C1=%s; D0=%s; D1=%s" % (A0, A1, B0, B1, C0, C1, D0, D1))
 *                             err_cnt += 1
 */
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 *                             with gil:
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 *                         # here we print pathological cases for debugging
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 *                 cDA = D1 - pDA * D0             # <<<<<<<<<<<<<<
 *             else:
 *                 pDA = cDA = 0.0
 */
            __pyx_v_cDA = (__pyx_v_D1 - (__pyx_v_pDA * __pyx_v_D0));

            /* "pyFAI/ext/_distortion.pyx":951
 *             else:
 *                 pCD = cCD = 0.0
 *             if A0 != D0:             # <<<<<<<<<<<<<<
 *                 pDA = (A1 - D1) / (A0 - D0)
 *                 cDA = D1 - pDA * D0
 */
            goto __pyx_L28;
          }

          /* "pyFAI/ext/_distortion.pyx":955
 *                 cDA = D1 - pDA * D0
 *             else:
 *                 pDA = cDA = 0.0             # <<<<<<<<<<<<<<
 * 
 *             integrate(buffer, B0, A0, pAB, cAB)
 */
          /*else*/ {
            __pyx_v_pDA = 0.0;
            __pyx_v_cDA = 0.0;
          }
          __pyx_L28:;

          /* "pyFAI/ext/_distortion.pyx":957
 *                 pDA = cDA = 0.0
 * 
 *             integrate(buffer, B0, A0, pAB, cAB)             # <<<<<<<<<<<<<<
 *             integrate(buffer, A0, D0, pDA, cDA)
 *             integrate(buffer, D0, C0, pCD, cCD)
 */
          __pyx_f_5pyFAI_3ext_11_distortion_integrate(__pyx_v_buffer, __pyx_v_B0, __pyx_v_A0, __pyx_v_pAB, __pyx_v_cAB);

          /* "pyFAI/ext/_distortion.pyx":958
 * 
 *             integrate(buffer, B0, A0, pAB, cAB)
 *             integrate(buffer, A0, D0, pDA, cDA)             # <<<<<<<<<<<<<<
 *             integrate(buffer, D0, C0, pCD, cCD)
 *             integrate(buffer, C0, B0, pBC, cBC)
 */
          __pyx_f_5pyFAI_3ext_11_distortion_integrate(__pyx_v_buffer, __pyx_v_A0, __pyx_v_D0, __pyx_v_pDA, __pyx_v_cDA);

          /* "pyFAI/ext/_distortion.pyx":959
 *             integrate(buffer, B0, A0, pAB, cAB)
 *             integrate(buffer, A0, D0, pDA, cDA)
 *             integrate(buffer, D0, C0, pCD, cCD)             # <<<<<<<<<<<<<<
 *             integrate(buffer, C0, B0, pBC, cBC)
 *             area = 0.5 * ((C0 - A0) * (D1 - B1) - (C1 - A1) * (D0 - B0))
 */
          __pyx_f_5pyFAI_3ext_11_distortion_integrate(__pyx_v_buffer, __pyx_v_D0, __pyx_v_C0, __pyx_v_pCD, __pyx_v_cCD);

          /* "pyFAI/ext/_distortion.pyx":960
 *             integrate(buffer, A0, D0, pDA, cDA)
 *             integrate(buffer, D0, C0, pCD, cCD)
 *             integrate(buffer, C0, B0, pBC, cBC)             # <<<<<<<<<<<<<<
 *             area = 0.5 * ((C0 - A0) * (D1 - B1) - (C1 - A1) * (D0 - B0))
 *             for ms in range(box_size0):
 */
          __pyx_f_5pyFAI_3ext_11_distortion_integrate(__pyx_v_buffer, __pyx_v_C0, __pyx_v_B0, __pyx_v_pBC, __pyx_v_cBC);

          /* "pyFAI/ext/_distortion.pyx":961
 *             integrate(buffer, D0, C0, pCD, cCD)
 *             integrate(buffer, C0, B0, pBC, cBC)
 *             area = 0.5 * ((C0 - A0) * (D1 - B1) - (C1 - A1) * (D0 - B0))             # <<<<<<<<<<<<<<
 *             for ms in range(box_size0):
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 */
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          /* "pyFAI/ext/_distortion.pyx":962
 *             integrate(buffer, C0, B0, pBC, cBC)
 *             area = 0.5 * ((C0 - A0) * (D1 - B1) - (C1 - A1) * (D0 - B0))
 *             for ms in range(box_size0):             # <<<<<<<<<<<<<<
 *                 ml = ms + offset0
 *                 if ml < 0 or ml >= shape_out0:
 */
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            /* "pyFAI/ext/_distortion.pyx":963
 *             area = 0.5 * ((C0 - A0) * (D1 - B1) - (C1 - A1) * (D0 - B0))
 *             for ms in range(box_size0):
 *                 ml = ms + offset0             # <<<<<<<<<<<<<<
 *                 if ml < 0 or ml >= shape_out0:
 *                     continue
 */
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            /* "pyFAI/ext/_distortion.pyx":964
 *             for ms in range(box_size0):
 *                 ml = ms + offset0
 *                 if ml < 0 or ml >= shape_out0:             # <<<<<<<<<<<<<<
 *                     continue
 *                 for ns in range(box_size1):
 */
            __pyx_t_7 = ((__pyx_v_ml < 0) != 0);
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              goto __pyx_L32_bool_binop_done;
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            __pyx_t_7 = ((__pyx_v_ml >= __pyx_v_shape_out0) != 0);
            __pyx_t_8 = __pyx_t_7;
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              /* "pyFAI/ext/_distortion.pyx":965
 *                 ml = ms + offset0
 *                 if ml < 0 or ml >= shape_out0:
 *                     continue             # <<<<<<<<<<<<<<
 *                 for ns in range(box_size1):
 *                     # ms,ns are indexes of the corrected image in short form, ml & nl are the same
 */
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              /* "pyFAI/ext/_distortion.pyx":964
 *             for ms in range(box_size0):
 *                 ml = ms + offset0
 *                 if ml < 0 or ml >= shape_out0:             # <<<<<<<<<<<<<<
 *                     continue
 *                 for ns in range(box_size1):
 */
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            /* "pyFAI/ext/_distortion.pyx":966
 *                 if ml < 0 or ml >= shape_out0:
 *                     continue
 *                 for ns in range(box_size1):             # <<<<<<<<<<<<<<
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 */
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              /* "pyFAI/ext/_distortion.pyx":968
 *                 for ns in range(box_size1):
 *                     # ms,ns are indexes of the corrected image in short form, ml & nl are the same
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 */
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 *                     nl = ns + offset1
 *                     if nl < 0 or nl >= shape_out1:             # <<<<<<<<<<<<<<
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 *                     nl = ns + offset1
 *                     if nl < 0 or nl >= shape_out1:
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 */
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 *                     nl = ns + offset1
 *                     if nl < 0 or nl >= shape_out1:             # <<<<<<<<<<<<<<
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              /* "pyFAI/ext/_distortion.pyx":972
 *                         continue
 *                     value = buffer[ms, ns] / area
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 */
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 */
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 *                                 print(i, j, ms, box_size0, ns, box_size1, buffer[ms, ns], area, value, buffer[0, 0], buffer[0, 1], buffer[1, 0], buffer[1, 1])
 *                                 print(" A0=%s; A1=%s; B0=%s; B1=%s; C0=%s; C1=%s; D0=%s; D1=%s" % (A0, A1, B0, B1, C0, C1, D0, D1))
 */
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 *                                 print(" A0=%s; A1=%s; B0=%s; B1=%s; C0=%s; C1=%s; D0=%s; D1=%s" % (A0, A1, B0, B1, C0, C1, D0, D1))
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 *                         continue
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 *                 with gil:             # <<<<<<<<<<<<<<
 *                     logger.warning("Accessing %i >= %i !!!" % (idx, size))
 *                     continue
 */
                                    /*finally:*/ {
                                      __pyx_L19_continue: {
                                        #ifdef WITH_THREAD
                                        __Pyx_PyGILState_Release(__pyx_gilstate_save);
                                        #endif
                                        goto __pyx_L15_continue;
                                      }
                                      __pyx_L22_error: {
                                        #ifdef WITH_THREAD
                                        __Pyx_PyGILState_Release(__pyx_gilstate_save);
                                        #endif
                                        goto __pyx_L13_error;
                                      }
                                    }
                                }

                                /* "pyFAI/ext/_distortion.pyx":1489
 *             if coef <= 0:
 *                 continue
 *             if idx >= size:             # <<<<<<<<<<<<<<
 *                 with gil:
 *                     logger.warning("Accessing %i >= %i !!!" % (idx, size))
 */
                              }

                              /* "pyFAI/ext/_distortion.pyx":1493
 *                     logger.warning("Accessing %i >= %i !!!" % (idx, size))
 *                     continue
 *             value = lin[idx, 0]             # <<<<<<<<<<<<<<
 *             if do_dummy and fabs(value - cdummy) <= cdelta_dummy:
 *                 continue
 */
                              __pyx_t_25 = __pyx_v_idx;
                              __pyx_t_26 = 0;
                              __pyx_v_value = (*((__pyx_t_5numpy_float32_t *) ( /* dim=1 */ ((char *) (((__pyx_t_5numpy_float32_t *) ( /* dim=0 */ (__pyx_v_lin.data + __pyx_t_25 * __pyx_v_lin.strides[0]) )) + __pyx_t_26)) )));

                              /* "pyFAI/ext/_distortion.pyx":1494
 *                     continue
 *             value = lin[idx, 0]
 *             if do_dummy and fabs(value - cdummy) <= cdelta_dummy:             # <<<<<<<<<<<<<<
 *                 continue
 *             sum_sig = value * coef + sum_sig
 */
                              __pyx_t_1 = (__pyx_v_do_dummy != 0);
                              if (__pyx_t_1) {
                              } else {
                                __pyx_t_3 = __pyx_t_1;
                                goto __pyx_L25_bool_binop_done;
                              }
                              __pyx_t_1 = ((fabs((__pyx_v_value - __pyx_v_cdummy)) <= __pyx_v_cdelta_dummy) != 0);
                              __pyx_t_3 = __pyx_t_1;
                              __pyx_L25_bool_binop_done:;
                              if (__pyx_t_3) {

                                /* "pyFAI/ext/_distortion.pyx":1495
 *             value = lin[idx, 0]
 *             if do_dummy and fabs(value - cdummy) <= cdelta_dummy:
 *                 continue             # <<<<<<<<<<<<<<
 *             sum_sig = value * coef + sum_sig
 *             if nchan == 2:
 */
                                goto __pyx_L15_continue;

                                /* "pyFAI/ext/_distortion.pyx":1494
 *                     continue
 *             value = lin[idx, 0]
 *             if do_dummy and fabs(value - cdummy) <= cdelta_dummy:             # <<<<<<<<<<<<<<
 *                 continue
 *             sum_sig = value * coef + sum_sig
 */
                              }

                              /* "pyFAI/ext/_distortion.pyx":1496
 *             if do_dummy and fabs(value - cdummy) <= cdelta_dummy:
 *                 continue
 *             sum_sig = value * coef + sum_sig             # <<<<<<<<<<<<<<
 *             if nchan == 2:
 *                 # case (signal, norm)
 */
                              __pyx_v_sum_sig = ((__pyx_v_value * __pyx_v_coef) + __pyx_v_sum_sig);

                              /* "pyFAI/ext/_distortion.pyx":1497
 *                 continue
 *             sum_sig = value * coef + sum_sig
 *             if nchan == 2:             # <<<<<<<<<<<<<<
 *                 # case (signal, norm)
 *                 sum_norm = coef * lin[idx, 1] + sum_norm
 */
                              switch (__pyx_v_nchan) {
                                case 2:

                                /* "pyFAI/ext/_distortion.pyx":1499
 *             if nchan == 2:
 *                 # case (signal, norm)
 *                 sum_norm = coef * lin[idx, 1] + sum_norm             # <<<<<<<<<<<<<<
 *             elif nchan == 3:
 *                 # case (signal, variance,  normalization)
 */
                                __pyx_t_27 = __pyx_v_idx;
                                __pyx_t_28 = 1;
                                __pyx_v_sum_norm = ((__pyx_v_coef * (*((__pyx_t_5numpy_float32_t *) ( /* dim=1 */ ((char *) (((__pyx_t_5numpy_float32_t *) ( /* dim=0 */ (__pyx_v_lin.data + __pyx_t_27 * __pyx_v_lin.strides[0]) )) + __pyx_t_28)) )))) + __pyx_v_sum_norm);

                                /* "pyFAI/ext/_distortion.pyx":1497
 *                 continue
 *             sum_sig = value * coef + sum_sig
 *             if nchan == 2:             # <<<<<<<<<<<<<<
 *                 # case (signal, norm)
 *                 sum_norm = coef * lin[idx, 1] + sum_norm
 */
                                break;
                                case 3:

                                /* "pyFAI/ext/_distortion.pyx":1502
 *             elif nchan == 3:
 *                 # case (signal, variance,  normalization)
 *                 sum_var = coef * coef * lin[idx, 1] + sum_var             # <<<<<<<<<<<<<<
 *                 sum_norm = coef * lin[idx, 2] + sum_norm
 *             else:
 */
                                __pyx_t_29 = __pyx_v_idx;
                                __pyx_t_30 = 1;
                                __pyx_v_sum_var = (((__pyx_v_coef * __pyx_v_coef) * (*((__pyx_t_5numpy_float32_t *) ( /* dim=1 */ ((char *) (((__pyx_t_5numpy_float32_t *) ( /* dim=0 */ (__pyx_v_lin.data + __pyx_t_29 * __pyx_v_lin.strides[0]) )) + __pyx_t_30)) )))) + __pyx_v_sum_var);

                                /* "pyFAI/ext/_distortion.pyx":1503
 *                 # case (signal, variance,  normalization)
 *                 sum_var = coef * coef * lin[idx, 1] + sum_var
 *                 sum_norm = coef * lin[idx, 2] + sum_norm             # <<<<<<<<<<<<<<
 *             else:
 *                 sum_norm = sum_norm + coef
 */
                                __pyx_t_31 = __pyx_v_idx;
                                __pyx_t_32 = 2;
                                __pyx_v_sum_norm = ((__pyx_v_coef * (*((__pyx_t_5numpy_float32_t *) ( /* dim=1 */ ((char *) (((__pyx_t_5numpy_float32_t *) ( /* dim=0 */ (__pyx_v_lin.data + __pyx_t_31 * __pyx_v_lin.strides[0]) )) + __pyx_t_32)) )))) + __pyx_v_sum_norm);

                                /* "pyFAI/ext/_distortion.pyx":1500
 *                 # case (signal, norm)
 *                 sum_norm = coef * lin[idx, 1] + sum_norm
 *             elif nchan == 3:             # <<<<<<<<<<<<<<
 *                 # case (signal, variance,  normalization)
 *                 sum_var = coef * coef * lin[idx, 1] + sum_var
 */
                                break;
                                default:

                                /* "pyFAI/ext/_distortion.pyx":1505
 *                 sum_norm = coef * lin[idx, 2] + sum_norm
 *             else:
 *                 sum_norm = sum_norm + coef             # <<<<<<<<<<<<<<
 * 
 *         if sum_norm == 0.0:  # No contribution to this output pixel
 */
                                __pyx_v_sum_norm = (__pyx_v_sum_norm + __pyx_v_coef);
                                break;
                              }
                              __pyx_L15_continue:;
                            }

                            /* "pyFAI/ext/_distortion.pyx":1507
 *                 sum_norm = sum_norm + coef
 * 
 *         if sum_norm == 0.0:  # No contribution to this output pixel             # <<<<<<<<<<<<<<
 *             lout[i] += cdummy  # this += is for Cython's reduction
 *             if nchan == 3:
 */
                            __pyx_t_3 = ((__pyx_v_sum_norm == 0.0) != 0);
                            if (__pyx_t_3) {

                              /* "pyFAI/ext/_distortion.pyx":1508
 * 
 *         if sum_norm == 0.0:  # No contribution to this output pixel
 *             lout[i] += cdummy  # this += is for Cython's reduction             # <<<<<<<<<<<<<<
 *             if nchan == 3:
 *                 lerr[i] += cdummy
 */
                              __pyx_t_33 = __pyx_v_i;
                              *((__pyx_t_5numpy_float32_t *) ( /* dim=0 */ ((char *) (((__pyx_t_5numpy_float32_t *) __pyx_v_lout.data) + __pyx_t_33)) )) += __pyx_v_cdummy;

                              /* "pyFAI/ext/_distortion.pyx":1509
 *         if sum_norm == 0.0:  # No contribution to this output pixel
 *             lout[i] += cdummy  # this += is for Cython's reduction
 *             if nchan == 3:             # <<<<<<<<<<<<<<
 *                 lerr[i] += cdummy
 *         else:
 */
                              __pyx_t_3 = ((__pyx_v_nchan == 3) != 0);
                              if (__pyx_t_3) {

                                /* "pyFAI/ext/_distortion.pyx":1510
 *             lout[i] += cdummy  # this += is for Cython's reduction
 *             if nchan == 3:
 *                 lerr[i] += cdummy             # <<<<<<<<<<<<<<
 *         else:
 *             lprop[i, 0] += sum_sig
 */
                                __pyx_t_34 = __pyx_v_i;
                                *((__pyx_t_5numpy_float32_t *) ( /* dim=0 */ ((char *) (((__pyx_t_5numpy_float32_t *) __pyx_v_lerr.data) + __pyx_t_34)) )) += __pyx_v_cdummy;

                                /* "pyFAI/ext/_distortion.pyx":1509
 *         if sum_norm == 0.0:  # No contribution to this output pixel
 *             lout[i] += cdummy  # this += is for Cython's reduction
 *             if nchan == 3:             # <<<<<<<<<<<<<<
 *                 lerr[i] += cdummy
 *         else:
 */
                              }

                              /* "pyFAI/ext/_distortion.pyx":1507
 *                 sum_norm = sum_norm + coef
 * 
 *         if sum_norm == 0.0:  # No contribution to this output pixel             # <<<<<<<<<<<<<<
 *             lout[i] += cdummy  # this += is for Cython's reduction
 *             if nchan == 3:
 */
                              goto __pyx_L27;
                            }

                            /* "pyFAI/ext/_distortion.pyx":1512
 *                 lerr[i] += cdummy
 *         else:
 *             lprop[i, 0] += sum_sig             # <<<<<<<<<<<<<<
 *             if nchan == 2:
 *                 # case (signal, norm)
 */
                            /*else*/ {
                              __pyx_t_35 = __pyx_v_i;
                              __pyx_t_36 = 0;
                              *((__pyx_t_5numpy_float32_t *) ( /* dim=1 */ ((char *) (((__pyx_t_5numpy_float32_t *) ( /* dim=0 */ (__pyx_v_lprop.data + __pyx_t_35 * __pyx_v_lprop.strides[0]) )) + __pyx_t_36)) )) += __pyx_v_sum_sig;

                              /* "pyFAI/ext/_distortion.pyx":1513
 *         else:
 *             lprop[i, 0] += sum_sig
 *             if nchan == 2:             # <<<<<<<<<<<<<<
 *                 # case (signal, norm)
 *                 lprop[i, 1] += sum_norm
 */
                              switch (__pyx_v_nchan) {
                                case 2:

                                /* "pyFAI/ext/_distortion.pyx":1515
 *             if nchan == 2:
 *                 # case (signal, norm)
 *                 lprop[i, 1] += sum_norm             # <<<<<<<<<<<<<<
 *                 lout[i] += sum_sig / sum_norm
 *             elif nchan == 3:
 */
                                __pyx_t_37 = __pyx_v_i;
                                __pyx_t_38 = 1;
                                *((__pyx_t_5numpy_float32_t *) ( /* dim=1 */ ((char *) (((__pyx_t_5numpy_float32_t *) ( /* dim=0 */ (__pyx_v_lprop.data + __pyx_t_37 * __pyx_v_lprop.strides[0]) )) + __pyx_t_38)) )) += __pyx_v_sum_norm;

                                /* "pyFAI/ext/_distortion.pyx":1516
 *                 # case (signal, norm)
 *                 lprop[i, 1] += sum_norm
 *                 lout[i] += sum_sig / sum_norm             # <<<<<<<<<<<<<<
 *             elif nchan == 3:
 *                 # case (signal, variance,  normalization)
 */
                                __pyx_t_39 = __pyx_v_i;
                                *((__pyx_t_5numpy_float32_t *) ( /* dim=0 */ ((char *) (((__pyx_t_5numpy_float32_t *) __pyx_v_lout.data) + __pyx_t_39)) )) += (__pyx_v_sum_sig / __pyx_v_sum_norm);

                                /* "pyFAI/ext/_distortion.pyx":1513
 *         else:
 *             lprop[i, 0] += sum_sig
 *             if nchan == 2:             # <<<<<<<<<<<<<<
 *                 # case (signal, norm)
 *                 lprop[i, 1] += sum_norm
 */
                                break;
                                case 3:

                                /* "pyFAI/ext/_distortion.pyx":1519
 *             elif nchan == 3:
 *                 # case (signal, variance,  normalization)
 *                 lprop[i, 1] += sum_var             # <<<<<<<<<<<<<<
 *                 lprop[i, 2] += sum_norm
 *                 lout[i] += sum_sig / sum_norm
 */
                                __pyx_t_40 = __pyx_v_i;
                                __pyx_t_41 = 1;
                                *((__pyx_t_5numpy_float32_t *) ( /* dim=1 */ ((char *) (((__pyx_t_5numpy_float32_t *) ( /* dim=0 */ (__pyx_v_lprop.data + __pyx_t_40 * __pyx_v_lprop.strides[0]) )) + __pyx_t_41)) )) += __pyx_v_sum_var;

                                /* "pyFAI/ext/_distortion.pyx":1520
 *                 # case (signal, variance,  normalization)
 *                 lprop[i, 1] += sum_var
 *                 lprop[i, 2] += sum_norm             # <<<<<<<<<<<<<<
 *                 lout[i] += sum_sig / sum_norm
 *                 lerr[i] += sqrt(sum_var) / sum_norm
 */
                                __pyx_t_42 = __pyx_v_i;
                                __pyx_t_43 = 2;
                                *((__pyx_t_5numpy_float32_t *) ( /* dim=1 */ ((char *) (((__pyx_t_5numpy_float32_t *) ( /* dim=0 */ (__pyx_v_lprop.data + __pyx_t_42 * __pyx_v_lprop.strides[0]) )) + __pyx_t_43)) )) += __pyx_v_sum_norm;

                                /* "pyFAI/ext/_distortion.pyx":1521
 *                 lprop[i, 1] += sum_var
 *                 lprop[i, 2] += sum_norm
 *                 lout[i] += sum_sig / sum_norm             # <<<<<<<<<<<<<<
 *                 lerr[i] += sqrt(sum_var) / sum_norm
 *             else:
 */
                                __pyx_t_44 = __pyx_v_i;
                                *((__pyx_t_5numpy_float32_t *) ( /* dim=0 */ ((char *) (((__pyx_t_5numpy_float32_t *) __pyx_v_lout.data) + __pyx_t_44)) )) += (__pyx_v_sum_sig / __pyx_v_sum_norm);

                                /* "pyFAI/ext/_distortion.pyx":1522
 *                 lprop[i, 2] += sum_norm
 *                 lout[i] += sum_sig / sum_norm
 *                 lerr[i] += sqrt(sum_var) / sum_norm             # <<<<<<<<<<<<<<
 *             else:
 *                 # Case signal only. No normalization to behave like FIT2D does
 */
                                __pyx_t_45 = __pyx_v_i;
                                *((__pyx_t_5numpy_float32_t *) ( /* dim=0 */ ((char *) (((__pyx_t_5numpy_float32_t *) __pyx_v_lerr.data) + __pyx_t_45)) )) += (sqrt(__pyx_v_sum_var) / __pyx_v_sum_norm);

                                /* "pyFAI/ext/_distortion.pyx":1517
 *                 lprop[i, 1] += sum_norm
 *                 lout[i] += sum_sig / sum_norm
 *             elif nchan == 3:             # <<<<<<<<<<<<<<
 *                 # case (signal, variance,  normalization)
 *                 lprop[i, 1] += sum_var
 */
                                break;
                                default:

                                /* "pyFAI/ext/_distortion.pyx":1525
 *             else:
 *                 # Case signal only. No normalization to behave like FIT2D does
 *                 lout[i] += sum_sig             # <<<<<<<<<<<<<<
 * 
 *     if nchan == 3:
 */
                                __pyx_t_46 = __pyx_v_i;
                                *((__pyx_t_5numpy_float32_t *) ( /* dim=0 */ ((char *) (((__pyx_t_5numpy_float32_t *) __pyx_v_lout.data) + __pyx_t_46)) )) += __pyx_v_sum_sig;
                                break;
                              }
                            }
                            __pyx_L27:;
                            goto __pyx_L30;
                            __pyx_L13_error:;
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{
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                    __Pyx_PyGILState_Release(__pyx_gilstate_save);
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}
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            #define unlikely(x) __builtin_expect(!!(x), 0)
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      }

      /* "pyFAI/ext/_distortion.pyx":1480
 *         lerr = err.ravel()
 *     size = lin.shape[0]
 *     for i in prange(lshape0, nogil=True, schedule="static"):             # <<<<<<<<<<<<<<
 *         sum_sig = 0.0
 *         sum_var = 0.0
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          __Pyx_FastGIL_Forget();
          Py_BLOCK_THREADS
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  /* "pyFAI/ext/_distortion.pyx":1527
 *                 lout[i] += sum_sig
 * 
 *     if nchan == 3:             # <<<<<<<<<<<<<<
 *         return out, err, prop
 *     else:
 */
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    /* "pyFAI/ext/_distortion.pyx":1528
 * 
 *     if nchan == 3:
 *         return out, err, prop             # <<<<<<<<<<<<<<
 *     else:
 *         return out, prop
 */
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    /* "pyFAI/ext/_distortion.pyx":1527
 *                 lout[i] += sum_sig
 * 
 *     if nchan == 3:             # <<<<<<<<<<<<<<
 *         return out, err, prop
 *     else:
 */
  }

  /* "pyFAI/ext/_distortion.pyx":1530
 *         return out, err, prop
 *     else:
 *         return out, prop             # <<<<<<<<<<<<<<
 * 
 * 
 */
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    __Pyx_XDECREF(__pyx_r);
    __pyx_t_6 = PyTuple_New(2); if (unlikely(!__pyx_t_6)) __PYX_ERR(1, 1530, __pyx_L1_error)
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                                      /* "pyFAI/ext/_distortion.pyx":1602
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 *                     continue             # <<<<<<<<<<<<<<
 * 
 *             value = lin[idx, 0]
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                                    /* "pyFAI/ext/_distortion.pyx":1600
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                                /* "pyFAI/ext/_distortion.pyx":1599
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 *                 with gil:
 *                     logger.warning("Accessing %i >= %i !!!" % (idx, size))
 */
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                              /* "pyFAI/ext/_distortion.pyx":1604
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 * 
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                              /* "pyFAI/ext/_distortion.pyx":1605
 * 
 *             value = lin[idx, 0]
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                                /* "pyFAI/ext/_distortion.pyx":1606
 *             value = lin[idx, 0]
 *             if do_dummy and fabs(value - cdummy) <= cdelta_dummy:
 *                 continue             # <<<<<<<<<<<<<<
 *             sum_sig = value * coef + sum_sig
 *             if nchan == 2:
 */
                                goto __pyx_L17_continue;

                                /* "pyFAI/ext/_distortion.pyx":1605
 * 
 *             value = lin[idx, 0]
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 *                 continue
 *             sum_sig = value * coef + sum_sig
 */
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                              /* "pyFAI/ext/_distortion.pyx":1607
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                              /* "pyFAI/ext/_distortion.pyx":1608
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 *             sum_sig = value * coef + sum_sig
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 *                 # case (signal, norm)
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 */
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                                /* "pyFAI/ext/_distortion.pyx":1610
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 *                 # case (signal, norm)
 *                 sum_norm = coef * lin[idx, 1] + sum_norm             # <<<<<<<<<<<<<<
 *             elif nchan == 3:
 *                 # case (signal, variance,  normalization)
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                                /* "pyFAI/ext/_distortion.pyx":1608
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 *             sum_sig = value * coef + sum_sig
 *             if nchan == 2:             # <<<<<<<<<<<<<<
 *                 # case (signal, norm)
 *                 sum_norm = coef * lin[idx, 1] + sum_norm
 */
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                                /* "pyFAI/ext/_distortion.pyx":1613
 *             elif nchan == 3:
 *                 # case (signal, variance,  normalization)
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 *                 sum_norm = coef * lin[idx, 2] + sum_norm
 *             else:
 */
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                                /* "pyFAI/ext/_distortion.pyx":1614
 *                 # case (signal, variance,  normalization)
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 *                 sum_norm = coef * lin[idx, 2] + sum_norm             # <<<<<<<<<<<<<<
 *             else:
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 */
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                                /* "pyFAI/ext/_distortion.pyx":1611
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 *                 # case (signal, variance,  normalization)
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 */
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                                /* "pyFAI/ext/_distortion.pyx":1616
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 * 
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                            /* "pyFAI/ext/_distortion.pyx":1618
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 */
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                              /* "pyFAI/ext/_distortion.pyx":1619
 * 
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 *             if nchan == 3:
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 */
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                              /* "pyFAI/ext/_distortion.pyx":1620
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 *                 lerr[i] += cdummy
 *         else:
 */
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                                /* "pyFAI/ext/_distortion.pyx":1621
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 */
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                                *((__pyx_t_5numpy_float32_t *) ( /* dim=0 */ ((char *) (((__pyx_t_5numpy_float32_t *) __pyx_v_lerr.data) + __pyx_t_34)) )) += __pyx_v_cdummy;

                                /* "pyFAI/ext/_distortion.pyx":1620
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 *             lout[i] += cdummy  # this += is for Cython's reduction
 *             if nchan == 3:             # <<<<<<<<<<<<<<
 *                 lerr[i] += cdummy
 *         else:
 */
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                              /* "pyFAI/ext/_distortion.pyx":1618
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 *             if nchan == 3:
 */
                              goto __pyx_L29;
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                            /* "pyFAI/ext/_distortion.pyx":1623
 *                 lerr[i] += cdummy
 *         else:
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                              /* "pyFAI/ext/_distortion.pyx":1624
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 *                 # case (signal, norm)
 *                 lout[i] += sum_sig / sum_norm
 */
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                                /* "pyFAI/ext/_distortion.pyx":1626
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 */
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                                /* "pyFAI/ext/_distortion.pyx":1627
 *                 # case (signal, norm)
 *                 lout[i] += sum_sig / sum_norm
 *                 lprop[i, 1] += sum_norm             # <<<<<<<<<<<<<<
 *             elif nchan == 3:
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 */
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                                *((__pyx_t_5numpy_float32_t *) ( /* dim=1 */ ((char *) (((__pyx_t_5numpy_float32_t *) ( /* dim=0 */ (__pyx_v_lprop.data + __pyx_t_38 * __pyx_v_lprop.strides[0]) )) + __pyx_t_39)) )) += __pyx_v_sum_norm;

                                /* "pyFAI/ext/_distortion.pyx":1624
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 *             lprop[i, 0] += sum_sig
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 *                 # case (signal, norm)
 *                 lout[i] += sum_sig / sum_norm
 */
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                                /* "pyFAI/ext/_distortion.pyx":1630
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 *                 lprop[i, 2] += sum_norm
 *                 lout[i] += sum_sig / sum_norm
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                                /* "pyFAI/ext/_distortion.pyx":1631
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                                /* "pyFAI/ext/_distortion.pyx":1632
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 *                 lprop[i, 2] += sum_norm
 *                 lout[i] += sum_sig / sum_norm             # <<<<<<<<<<<<<<
 *                 lerr[i] += sqrt(sum_var) / sum_norm
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                                /* "pyFAI/ext/_distortion.pyx":1633
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                                /* "pyFAI/ext/_distortion.pyx":1628
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                                /* "pyFAI/ext/_distortion.pyx":1636
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 *                                 B1 -= <float> offset1
 *                                 C0 -= <float> offset0
 *                                 C1 -= <float> offset1             # <<<<<<<<<<<<<<
 *                                 D0 -= <float> offset0
 *                                 D1 -= <float> offset1
 */
                        __pyx_v_C1 = (__pyx_v_C1 - ((float)__pyx_v_offset1));

                        /* "pyFAI/ext/_distortion.pyx":1877
 *                                 C0 -= <float> offset0
 *                                 C1 -= <float> offset1
 *                                 D0 -= <float> offset0             # <<<<<<<<<<<<<<
 *                                 D1 -= <float> offset1
 *                                 if B0 != A0:
 */
                        __pyx_v_D0 = (__pyx_v_D0 - ((float)__pyx_v_offset0));

                        /* "pyFAI/ext/_distortion.pyx":1878
 *                                 C1 -= <float> offset1
 *                                 D0 -= <float> offset0
 *                                 D1 -= <float> offset1             # <<<<<<<<<<<<<<
 *                                 if B0 != A0:
 *                                     pAB = (B1 - A1) / (B0 - A0)
 */
                        __pyx_v_D1 = (__pyx_v_D1 - ((float)__pyx_v_offset1));

                        /* "pyFAI/ext/_distortion.pyx":1879
 *                                 D0 -= <float> offset0
 *                                 D1 -= <float> offset1
 *                                 if B0 != A0:             # <<<<<<<<<<<<<<
 *                                     pAB = (B1 - A1) / (B0 - A0)
 *                                     cAB = A1 - pAB * A0
 */
                        __pyx_t_11 = ((__pyx_v_B0 != __pyx_v_A0) != 0);
                        if (__pyx_t_11) {

                          /* "pyFAI/ext/_distortion.pyx":1880
 *                                 D1 -= <float> offset1
 *                                 if B0 != A0:
 *                                     pAB = (B1 - A1) / (B0 - A0)             # <<<<<<<<<<<<<<
 *                                     cAB = A1 - pAB * A0
 *                                 else:
 */
                          __pyx_v_pAB = ((__pyx_v_B1 - __pyx_v_A1) / (__pyx_v_B0 - __pyx_v_A0));

                          /* "pyFAI/ext/_distortion.pyx":1881
 *                                 if B0 != A0:
 *                                     pAB = (B1 - A1) / (B0 - A0)
 *                                     cAB = A1 - pAB * A0             # <<<<<<<<<<<<<<
 *                                 else:
 *                                     pAB = cAB = 0.0
 */
                          __pyx_v_cAB = (__pyx_v_A1 - (__pyx_v_pAB * __pyx_v_A0));

                          /* "pyFAI/ext/_distortion.pyx":1879
 *                                 D0 -= <float> offset0
 *                                 D1 -= <float> offset1
 *                                 if B0 != A0:             # <<<<<<<<<<<<<<
 *                                     pAB = (B1 - A1) / (B0 - A0)
 *                                     cAB = A1 - pAB * A0
 */
                          goto __pyx_L25;
                        }

                        /* "pyFAI/ext/_distortion.pyx":1883
 *                                     cAB = A1 - pAB * A0
 *                                 else:
 *                                     pAB = cAB = 0.0             # <<<<<<<<<<<<<<
 *                                 if C0 != B0:
 *                                     pBC = (C1 - B1) / (C0 - B0)
 */
                        /*else*/ {
                          __pyx_v_pAB = 0.0;
                          __pyx_v_cAB = 0.0;
                        }
                        __pyx_L25:;

                        /* "pyFAI/ext/_distortion.pyx":1884
 *                                 else:
 *                                     pAB = cAB = 0.0
 *                                 if C0 != B0:             # <<<<<<<<<<<<<<
 *                                     pBC = (C1 - B1) / (C0 - B0)
 *                                     cBC = B1 - pBC * B0
 */
                        __pyx_t_11 = ((__pyx_v_C0 != __pyx_v_B0) != 0);
                        if (__pyx_t_11) {

                          /* "pyFAI/ext/_distortion.pyx":1885
 *                                     pAB = cAB = 0.0
 *                                 if C0 != B0:
 *                                     pBC = (C1 - B1) / (C0 - B0)             # <<<<<<<<<<<<<<
 *                                     cBC = B1 - pBC * B0
 *                                 else:
 */
                          __pyx_v_pBC = ((__pyx_v_C1 - __pyx_v_B1) / (__pyx_v_C0 - __pyx_v_B0));

                          /* "pyFAI/ext/_distortion.pyx":1886
 *                                 if C0 != B0:
 *                                     pBC = (C1 - B1) / (C0 - B0)
 *                                     cBC = B1 - pBC * B0             # <<<<<<<<<<<<<<
 *                                 else:
 *                                     pBC = cBC = 0.0
 */
                          __pyx_v_cBC = (__pyx_v_B1 - (__pyx_v_pBC * __pyx_v_B0));

                          /* "pyFAI/ext/_distortion.pyx":1884
 *                                 else:
 *                                     pAB = cAB = 0.0
 *                                 if C0 != B0:             # <<<<<<<<<<<<<<
 *                                     pBC = (C1 - B1) / (C0 - B0)
 *                                     cBC = B1 - pBC * B0
 */
                          goto __pyx_L26;
                        }

                        /* "pyFAI/ext/_distortion.pyx":1888
 *                                     cBC = B1 - pBC * B0
 *                                 else:
 *                                     pBC = cBC = 0.0             # <<<<<<<<<<<<<<
 *                                 if D0 != C0:
 *                                     pCD = (D1 - C1) / (D0 - C0)
 */
                        /*else*/ {
                          __pyx_v_pBC = 0.0;
                          __pyx_v_cBC = 0.0;
                        }
                        __pyx_L26:;

                        /* "pyFAI/ext/_distortion.pyx":1889
 *                                 else:
 *                                     pBC = cBC = 0.0
 *                                 if D0 != C0:             # <<<<<<<<<<<<<<
 *                                     pCD = (D1 - C1) / (D0 - C0)
 *                                     cCD = C1 - pCD * C0
 */
                        __pyx_t_11 = ((__pyx_v_D0 != __pyx_v_C0) != 0);
                        if (__pyx_t_11) {

                          /* "pyFAI/ext/_distortion.pyx":1890
 *                                     pBC = cBC = 0.0
 *                                 if D0 != C0:
 *                                     pCD = (D1 - C1) / (D0 - C0)             # <<<<<<<<<<<<<<
 *                                     cCD = C1 - pCD * C0
 *                                 else:
 */
                          __pyx_v_pCD = ((__pyx_v_D1 - __pyx_v_C1) / (__pyx_v_D0 - __pyx_v_C0));

                          /* "pyFAI/ext/_distortion.pyx":1891
 *                                 if D0 != C0:
 *                                     pCD = (D1 - C1) / (D0 - C0)
 *                                     cCD = C1 - pCD * C0             # <<<<<<<<<<<<<<
 *                                 else:
 *                                     pCD = cCD = 0.0
 */
                          __pyx_v_cCD = (__pyx_v_C1 - (__pyx_v_pCD * __pyx_v_C0));

                          /* "pyFAI/ext/_distortion.pyx":1889
 *                                 else:
 *                                     pBC = cBC = 0.0
 *                                 if D0 != C0:             # <<<<<<<<<<<<<<
 *                                     pCD = (D1 - C1) / (D0 - C0)
 *                                     cCD = C1 - pCD * C0
 */
                          goto __pyx_L27;
                        }

                        /* "pyFAI/ext/_distortion.pyx":1893
 *                                     cCD = C1 - pCD * C0
 *                                 else:
 *                                     pCD = cCD = 0.0             # <<<<<<<<<<<<<<
 *                                 if A0 != D0:
 *                                     pDA = (A1 - D1) / (A0 - D0)
 */
                        /*else*/ {
                          __pyx_v_pCD = 0.0;
                          __pyx_v_cCD = 0.0;
                        }
                        __pyx_L27:;

                        /* "pyFAI/ext/_distortion.pyx":1894
 *                                 else:
 *                                     pCD = cCD = 0.0
 *                                 if A0 != D0:             # <<<<<<<<<<<<<<
 *                                     pDA = (A1 - D1) / (A0 - D0)
 *                                     cDA = D1 - pDA * D0
 */
                        __pyx_t_11 = ((__pyx_v_A0 != __pyx_v_D0) != 0);
                        if (__pyx_t_11) {

                          /* "pyFAI/ext/_distortion.pyx":1895
 *                                     pCD = cCD = 0.0
 *                                 if A0 != D0:
 *                                     pDA = (A1 - D1) / (A0 - D0)             # <<<<<<<<<<<<<<
 *                                     cDA = D1 - pDA * D0
 *                                 else:
 */
                          __pyx_v_pDA = ((__pyx_v_A1 - __pyx_v_D1) / (__pyx_v_A0 - __pyx_v_D0));

                          /* "pyFAI/ext/_distortion.pyx":1896
 *                                 if A0 != D0:
 *                                     pDA = (A1 - D1) / (A0 - D0)
 *                                     cDA = D1 - pDA * D0             # <<<<<<<<<<<<<<
 *                                 else:
 *                                     pDA = cDA = 0.0
 */
                          __pyx_v_cDA = (__pyx_v_D1 - (__pyx_v_pDA * __pyx_v_D0));

                          /* "pyFAI/ext/_distortion.pyx":1894
 *                                 else:
 *                                     pCD = cCD = 0.0
 *                                 if A0 != D0:             # <<<<<<<<<<<<<<
 *                                     pDA = (A1 - D1) / (A0 - D0)
 *                                     cDA = D1 - pDA * D0
 */
                          goto __pyx_L28;
                        }

                        /* "pyFAI/ext/_distortion.pyx":1898
 *                                     cDA = D1 - pDA * D0
 *                                 else:
 *                                     pDA = cDA = 0.0             # <<<<<<<<<<<<<<
 *                                 # ABCD is ANTI-trigonometric order: order input position accordingly
 *                                 integrate(buffer, B0, A0, pAB, cAB)
 */
                        /*else*/ {
                          __pyx_v_pDA = 0.0;
                          __pyx_v_cDA = 0.0;
                        }
                        __pyx_L28:;

                        /* "pyFAI/ext/_distortion.pyx":1900
 *                                     pDA = cDA = 0.0
 *                                 # ABCD is ANTI-trigonometric order: order input position accordingly
 *                                 integrate(buffer, B0, A0, pAB, cAB)             # <<<<<<<<<<<<<<
 *                                 integrate(buffer, A0, D0, pDA, cDA)
 *                                 integrate(buffer, D0, C0, pCD, cCD)
 */
                        __pyx_f_5pyFAI_3ext_11_distortion_integrate(__pyx_v_buffer, __pyx_v_B0, __pyx_v_A0, __pyx_v_pAB, __pyx_v_cAB);

                        /* "pyFAI/ext/_distortion.pyx":1901
 *                                 # ABCD is ANTI-trigonometric order: order input position accordingly
 *                                 integrate(buffer, B0, A0, pAB, cAB)
 *                                 integrate(buffer, A0, D0, pDA, cDA)             # <<<<<<<<<<<<<<
 *                                 integrate(buffer, D0, C0, pCD, cCD)
 *                                 integrate(buffer, C0, B0, pBC, cBC)
 */
                        __pyx_f_5pyFAI_3ext_11_distortion_integrate(__pyx_v_buffer, __pyx_v_A0, __pyx_v_D0, __pyx_v_pDA, __pyx_v_cDA);

                        /* "pyFAI/ext/_distortion.pyx":1902
 *                                 integrate(buffer, B0, A0, pAB, cAB)
 *                                 integrate(buffer, A0, D0, pDA, cDA)
 *                                 integrate(buffer, D0, C0, pCD, cCD)             # <<<<<<<<<<<<<<
 *                                 integrate(buffer, C0, B0, pBC, cBC)
 *                                 area = 0.5 * ((C0 - A0) * (D1 - B1) - (C1 - A1) * (D0 - B0))
 */
                        __pyx_f_5pyFAI_3ext_11_distortion_integrate(__pyx_v_buffer, __pyx_v_D0, __pyx_v_C0, __pyx_v_pCD, __pyx_v_cCD);

                        /* "pyFAI/ext/_distortion.pyx":1903
 *                                 integrate(buffer, A0, D0, pDA, cDA)
 *                                 integrate(buffer, D0, C0, pCD, cCD)
 *                                 integrate(buffer, C0, B0, pBC, cBC)             # <<<<<<<<<<<<<<
 *                                 area = 0.5 * ((C0 - A0) * (D1 - B1) - (C1 - A1) * (D0 - B0))
 *                                 for ms in range(box_size0):
 */
                        __pyx_f_5pyFAI_3ext_11_distortion_integrate(__pyx_v_buffer, __pyx_v_C0, __pyx_v_B0, __pyx_v_pBC, __pyx_v_cBC);

                        /* "pyFAI/ext/_distortion.pyx":1904
 *                                 integrate(buffer, D0, C0, pCD, cCD)
 *                                 integrate(buffer, C0, B0, pBC, cBC)
 *                                 area = 0.5 * ((C0 - A0) * (D1 - B1) - (C1 - A1) * (D0 - B0))             # <<<<<<<<<<<<<<
 *                                 for ms in range(box_size0):
 *                                     ml = ms + offset0
 */
                        __pyx_v_area = (0.5 * (((__pyx_v_C0 - __pyx_v_A0) * (__pyx_v_D1 - __pyx_v_B1)) - ((__pyx_v_C1 - __pyx_v_A1) * (__pyx_v_D0 - __pyx_v_B0))));

                        /* "pyFAI/ext/_distortion.pyx":1905
 *                                 integrate(buffer, C0, B0, pBC, cBC)
 *                                 area = 0.5 * ((C0 - A0) * (D1 - B1) - (C1 - A1) * (D0 - B0))
 *                                 for ms in range(box_size0):             # <<<<<<<<<<<<<<
 *                                     ml = ms + offset0
 *                                     if ml < 0 or ml >= shape0:
 */
                        __pyx_t_68 = __pyx_v_box_size0;
                        __pyx_t_69 = __pyx_t_68;
                        for (__pyx_t_70 = 0; __pyx_t_70 < __pyx_t_69; __pyx_t_70+=1) {
                          __pyx_v_ms = __pyx_t_70;

                          /* "pyFAI/ext/_distortion.pyx":1906
 *                                 area = 0.5 * ((C0 - A0) * (D1 - B1) - (C1 - A1) * (D0 - B0))
 *                                 for ms in range(box_size0):
 *                                     ml = ms + offset0             # <<<<<<<<<<<<<<
 *                                     if ml < 0 or ml >= shape0:
 *                                         continue
 */
                          __pyx_v_ml = (__pyx_v_ms + __pyx_v_offset0);

                          /* "pyFAI/ext/_distortion.pyx":1907
 *                                 for ms in range(box_size0):
 *                                     ml = ms + offset0
 *                                     if ml < 0 or ml >= shape0:             # <<<<<<<<<<<<<<
 *                                         continue
 *                                     for ns in range(box_size1):
 */
                          __pyx_t_10 = ((__pyx_v_ml < 0) != 0);
                          if (!__pyx_t_10) {
                          } else {
                            __pyx_t_11 = __pyx_t_10;
                            goto __pyx_L32_bool_binop_done;
                          }
                          __pyx_t_10 = ((__pyx_v_ml >= __pyx_v_shape0) != 0);
                          __pyx_t_11 = __pyx_t_10;
                          __pyx_L32_bool_binop_done:;
                          if (__pyx_t_11) {

                            /* "pyFAI/ext/_distortion.pyx":1908
 *                                     ml = ms + offset0
 *                                     if ml < 0 or ml >= shape0:
 *                                         continue             # <<<<<<<<<<<<<<
 *                                     for ns in range(box_size1):
 *                                         # ms,ns are indexes of the corrected image in short form, ml & nl are the same
 */
                            goto __pyx_L29_continue;

                            /* "pyFAI/ext/_distortion.pyx":1907
 *                                 for ms in range(box_size0):
 *                                     ml = ms + offset0
 *                                     if ml < 0 or ml >= shape0:             # <<<<<<<<<<<<<<
 *                                         continue
 *                                     for ns in range(box_size1):
 */
                          }

                          /* "pyFAI/ext/_distortion.pyx":1909
 *                                     if ml < 0 or ml >= shape0:
 *                                         continue
 *                                     for ns in range(box_size1):             # <<<<<<<<<<<<<<
 *                                         # ms,ns are indexes of the corrected image in short form, ml & nl are the same
 *                                         nl = ns + offset1
 */
                          __pyx_t_71 = __pyx_v_box_size1;
                          __pyx_t_72 = __pyx_t_71;
                          for (__pyx_t_73 = 0; __pyx_t_73 < __pyx_t_72; __pyx_t_73+=1) {
                            __pyx_v_ns = __pyx_t_73;

                            /* "pyFAI/ext/_distortion.pyx":1911
 *                                     for ns in range(box_size1):
 *                                         # ms,ns are indexes of the corrected image in short form, ml & nl are the same
 *                                         nl = ns + offset1             # <<<<<<<<<<<<<<
 *                                         if nl < 0 or nl >= shape1:
 *                                             continue
 */
                            __pyx_v_nl = (__pyx_v_ns + __pyx_v_offset1);

                            /* "pyFAI/ext/_distortion.pyx":1912
 *                                         # ms,ns are indexes of the corrected image in short form, ml & nl are the same
 *                                         nl = ns + offset1
 *                                         if nl < 0 or nl >= shape1:             # <<<<<<<<<<<<<<
 *                                             continue
 *                                         value = buffer[ms, ns] / area
 */
                            __pyx_t_10 = ((__pyx_v_nl < 0) != 0);
                            if (!__pyx_t_10) {
                            } else {
                              __pyx_t_11 = __pyx_t_10;
                              goto __pyx_L37_bool_binop_done;
                            }
                            __pyx_t_10 = ((__pyx_v_nl >= __pyx_v_shape1) != 0);
                            __pyx_t_11 = __pyx_t_10;
                            __pyx_L37_bool_binop_done:;
                            if (__pyx_t_11) {

                              /* "pyFAI/ext/_distortion.pyx":1913
 *                                         nl = ns + offset1
 *                                         if nl < 0 or nl >= shape1:
 *                                             continue             # <<<<<<<<<<<<<<
 *                                         value = buffer[ms, ns] / area
 *                                         if value <= 0:
 */
                              goto __pyx_L34_continue;

                              /* "pyFAI/ext/_distortion.pyx":1912
 *                                         # ms,ns are indexes of the corrected image in short form, ml & nl are the same
 *                                         nl = ns + offset1
 *                                         if nl < 0 or nl >= shape1:             # <<<<<<<<<<<<<<
 *                                             continue
 *                                         value = buffer[ms, ns] / area
 */
                            }

                            /* "pyFAI/ext/_distortion.pyx":1914
 *                                         if nl < 0 or nl >= shape1:
 *                                             continue
 *                                         value = buffer[ms, ns] / area             # <<<<<<<<<<<<<<
 *                                         if value <= 0:
 *                                             continue
 */
                            __pyx_t_74 = __pyx_v_ms;
                            __pyx_t_75 = __pyx_v_ns;
                            __pyx_v_value = ((*((__pyx_t_5numpy_float32_t *) ( /* dim=1 */ ((char *) (((__pyx_t_5numpy_float32_t *) ( /* dim=0 */ (__pyx_v_buffer.data + __pyx_t_74 * __pyx_v_buffer.strides[0]) )) + __pyx_t_75)) ))) / ((__pyx_t_5numpy_float32_t)__pyx_v_area));

                            /* "pyFAI/ext/_distortion.pyx":1915
 *                                             continue
 *                                         value = buffer[ms, ns] / area
 *                                         if value <= 0:             # <<<<<<<<<<<<<<
 *                                             continue
 *                                         k = outMax[ml, nl]
 */
                            __pyx_t_11 = ((__pyx_v_value <= 0.0) != 0);
                            if (__pyx_t_11) {

                              /* "pyFAI/ext/_distortion.pyx":1916
 *                                         value = buffer[ms, ns] / area
 *                                         if value <= 0:
 *                                             continue             # <<<<<<<<<<<<<<
 *                                         k = outMax[ml, nl]
 *                                         lut[ml, nl, k].idx = idx
 */
                              goto __pyx_L34_continue;

                              /* "pyFAI/ext/_distortion.pyx":1915
 *                                             continue
 *                                         value = buffer[ms, ns] / area
 *                                         if value <= 0:             # <<<<<<<<<<<<<<
 *                                             continue
 *                                         k = outMax[ml, nl]
 */
                            }

                            /* "pyFAI/ext/_distortion.pyx":1917
 *                                         if value <= 0:
 *                                             continue
 *                                         k = outMax[ml, nl]             # <<<<<<<<<<<<<<
 *                                         lut[ml, nl, k].idx = idx
 *                                         lut[ml, nl, k].coef = value
 */
                            __pyx_t_76 = __pyx_v_ml;
                            __pyx_t_77 = __pyx_v_nl;
                            __pyx_v_k = (*__Pyx_BufPtrStrided2d(__pyx_t_5numpy_int32_t *, __pyx_pybuffernd_outMax.rcbuffer->pybuffer.buf, __pyx_t_76, __pyx_pybuffernd_outMax.diminfo[0].strides, __pyx_t_77, __pyx_pybuffernd_outMax.diminfo[1].strides));

                            /* "pyFAI/ext/_distortion.pyx":1918
 *                                             continue
 *                                         k = outMax[ml, nl]
 *                                         lut[ml, nl, k].idx = idx             # <<<<<<<<<<<<<<
 *                                         lut[ml, nl, k].coef = value
 *                                         outMax[ml, nl] = k + 1
 */
                            __pyx_t_78 = __pyx_v_ml;
                            __pyx_t_79 = __pyx_v_nl;
                            __pyx_t_80 = __pyx_v_k;
                            (*__Pyx_BufPtrStrided3d(struct __pyx_t_5pyFAI_3ext_11_distortion_lut_t *, __pyx_pybuffernd_lut.rcbuffer->pybuffer.buf, __pyx_t_78, __pyx_pybuffernd_lut.diminfo[0].strides, __pyx_t_79, __pyx_pybuffernd_lut.diminfo[1].strides, __pyx_t_80, __pyx_pybuffernd_lut.diminfo[2].strides)).idx = __pyx_v_idx;

                            /* "pyFAI/ext/_distortion.pyx":1919
 *                                         k = outMax[ml, nl]
 *                                         lut[ml, nl, k].idx = idx
 *                                         lut[ml, nl, k].coef = value             # <<<<<<<<<<<<<<
 *                                         outMax[ml, nl] = k + 1
 *                                 idx += 1
 */
                            __pyx_t_81 = __pyx_v_ml;
                            __pyx_t_82 = __pyx_v_nl;
                            __pyx_t_83 = __pyx_v_k;
                            (*__Pyx_BufPtrStrided3d(struct __pyx_t_5pyFAI_3ext_11_distortion_lut_t *, __pyx_pybuffernd_lut.rcbuffer->pybuffer.buf, __pyx_t_81, __pyx_pybuffernd_lut.diminfo[0].strides, __pyx_t_82, __pyx_pybuffernd_lut.diminfo[1].strides, __pyx_t_83, __pyx_pybuffernd_lut.diminfo[2].strides)).coef = __pyx_v_value;

                            /* "pyFAI/ext/_distortion.pyx":1920
 *                                         lut[ml, nl, k].idx = idx
 *                                         lut[ml, nl, k].coef = value
 *                                         outMax[ml, nl] = k + 1             # <<<<<<<<<<<<<<
 *                                 idx += 1
 *                     self.LUT = lut.reshape(self.shape[0] * self.shape[1], self.lut_size)
 */
                            __pyx_t_84 = __pyx_v_ml;
                            __pyx_t_85 = __pyx_v_nl;
                            *__Pyx_BufPtrStrided2d(__pyx_t_5numpy_int32_t *, __pyx_pybuffernd_outMax.rcbuffer->pybuffer.buf, __pyx_t_84, __pyx_pybuffernd_outMax.diminfo[0].strides, __pyx_t_85, __pyx_pybuffernd_outMax.diminfo[1].strides) = (__pyx_v_k + 1);
                            __pyx_L34_continue:;
                          }
                          __pyx_L29_continue:;
                        }

                        /* "pyFAI/ext/_distortion.pyx":1921
 *                                         lut[ml, nl, k].coef = value
 *                                         outMax[ml, nl] = k + 1
 *                                 idx += 1             # <<<<<<<<<<<<<<
 *                     self.LUT = lut.reshape(self.shape[0] * self.shape[1], self.lut_size)
 *         return self.LUT
 */
                        __pyx_v_idx = (__pyx_v_idx + 1);
                      }
                    }
                  }

                  /* "pyFAI/ext/_distortion.pyx":1853
 *                     buffer_size = self.delta0 * self.delta1 * sizeof(float)
 *                     logger.info("Max pixel size: %ix%i; Max source pixel in target: %i" % (buffer.shape[1], buffer.shape[0], self.lut_size))
 *                     with nogil:             # <<<<<<<<<<<<<<
 *                         # i,j, idx are indexes of the raw image uncorrected
 *                         for i in range(shape0):
 */
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      __pyx_t_2 = __pyx_t_1;
      goto __pyx_L6_bool_binop_done;
    }
    __pyx_t_1 = ((__pyx_v_step < 0) != 0);
    __pyx_t_2 = __pyx_t_1;
    __pyx_L6_bool_binop_done:;
    __pyx_v_negative_step = __pyx_t_2;

    /* "View.MemoryView":837
 *         negative_step = have_step != 0 and step < 0
 * 
 *         if have_step and step == 0:             # <<<<<<<<<<<<<<
 *             _err_dim(ValueError, "Step may not be zero (axis %d)", dim)
 * 
 */
    __pyx_t_1 = (__pyx_v_have_step != 0);
    if (__pyx_t_1) {
    } else {
      __pyx_t_2 = __pyx_t_1;
      goto __pyx_L9_bool_binop_done;
    }
    __pyx_t_1 = ((__pyx_v_step == 0) != 0);
    __pyx_t_2 = __pyx_t_1;
    __pyx_L9_bool_binop_done:;
    if (__pyx_t_2) {

      /* "View.MemoryView":838
 * 
 *         if have_step and step == 0:
 *             _err_dim(ValueError, "Step may not be zero (axis %d)", dim)             # <<<<<<<<<<<<<<
 * 
 * 
 */
      __pyx_t_3 = __pyx_memoryview_err_dim(__pyx_builtin_ValueError, ((char *)"Step may not be zero (axis %d)"), __pyx_v_dim); if (unlikely(__pyx_t_3 == ((int)-1))) __PYX_ERR(3, 838, __pyx_L1_error)

      /* "View.MemoryView":837
 *         negative_step = have_step != 0 and step < 0
 * 
 *         if have_step and step == 0:             # <<<<<<<<<<<<<<
 *             _err_dim(ValueError, "Step may not be zero (axis %d)", dim)
 * 
 */
    }

    /* "View.MemoryView":841
 * 
 * 
 *         if have_start:             # <<<<<<<<<<<<<<
 *             if start < 0:
 *                 start += shape
 */
    __pyx_t_2 = (__pyx_v_have_start != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":842
 * 
 *         if have_start:
 *             if start < 0:             # <<<<<<<<<<<<<<
 *                 start += shape
 *                 if start < 0:
 */
      __pyx_t_2 = ((__pyx_v_start < 0) != 0);
      if (__pyx_t_2) {

        /* "View.MemoryView":843
 *         if have_start:
 *             if start < 0:
 *                 start += shape             # <<<<<<<<<<<<<<
 *                 if start < 0:
 *                     start = 0
 */
        __pyx_v_start = (__pyx_v_start + __pyx_v_shape);

        /* "View.MemoryView":844
 *             if start < 0:
 *                 start += shape
 *                 if start < 0:             # <<<<<<<<<<<<<<
 *                     start = 0
 *             elif start >= shape:
 */
        __pyx_t_2 = ((__pyx_v_start < 0) != 0);
        if (__pyx_t_2) {

          /* "View.MemoryView":845
 *                 start += shape
 *                 if start < 0:
 *                     start = 0             # <<<<<<<<<<<<<<
 *             elif start >= shape:
 *                 if negative_step:
 */
          __pyx_v_start = 0;

          /* "View.MemoryView":844
 *             if start < 0:
 *                 start += shape
 *                 if start < 0:             # <<<<<<<<<<<<<<
 *                     start = 0
 *             elif start >= shape:
 */
        }

        /* "View.MemoryView":842
 * 
 *         if have_start:
 *             if start < 0:             # <<<<<<<<<<<<<<
 *                 start += shape
 *                 if start < 0:
 */
        goto __pyx_L12;
      }

      /* "View.MemoryView":846
 *                 if start < 0:
 *                     start = 0
 *             elif start >= shape:             # <<<<<<<<<<<<<<
 *                 if negative_step:
 *                     start = shape - 1
 */
      __pyx_t_2 = ((__pyx_v_start >= __pyx_v_shape) != 0);
      if (__pyx_t_2) {

        /* "View.MemoryView":847
 *                     start = 0
 *             elif start >= shape:
 *                 if negative_step:             # <<<<<<<<<<<<<<
 *                     start = shape - 1
 *                 else:
 */
        __pyx_t_2 = (__pyx_v_negative_step != 0);
        if (__pyx_t_2) {

          /* "View.MemoryView":848
 *             elif start >= shape:
 *                 if negative_step:
 *                     start = shape - 1             # <<<<<<<<<<<<<<
 *                 else:
 *                     start = shape
 */
          __pyx_v_start = (__pyx_v_shape - 1);

          /* "View.MemoryView":847
 *                     start = 0
 *             elif start >= shape:
 *                 if negative_step:             # <<<<<<<<<<<<<<
 *                     start = shape - 1
 *                 else:
 */
          goto __pyx_L14;
        }

        /* "View.MemoryView":850
 *                     start = shape - 1
 *                 else:
 *                     start = shape             # <<<<<<<<<<<<<<
 *         else:
 *             if negative_step:
 */
        /*else*/ {
          __pyx_v_start = __pyx_v_shape;
        }
        __pyx_L14:;

        /* "View.MemoryView":846
 *                 if start < 0:
 *                     start = 0
 *             elif start >= shape:             # <<<<<<<<<<<<<<
 *                 if negative_step:
 *                     start = shape - 1
 */
      }
      __pyx_L12:;

      /* "View.MemoryView":841
 * 
 * 
 *         if have_start:             # <<<<<<<<<<<<<<
 *             if start < 0:
 *                 start += shape
 */
      goto __pyx_L11;
    }

    /* "View.MemoryView":852
 *                     start = shape
 *         else:
 *             if negative_step:             # <<<<<<<<<<<<<<
 *                 start = shape - 1
 *             else:
 */
    /*else*/ {
      __pyx_t_2 = (__pyx_v_negative_step != 0);
      if (__pyx_t_2) {

        /* "View.MemoryView":853
 *         else:
 *             if negative_step:
 *                 start = shape - 1             # <<<<<<<<<<<<<<
 *             else:
 *                 start = 0
 */
        __pyx_v_start = (__pyx_v_shape - 1);

        /* "View.MemoryView":852
 *                     start = shape
 *         else:
 *             if negative_step:             # <<<<<<<<<<<<<<
 *                 start = shape - 1
 *             else:
 */
        goto __pyx_L15;
      }

      /* "View.MemoryView":855
 *                 start = shape - 1
 *             else:
 *                 start = 0             # <<<<<<<<<<<<<<
 * 
 *         if have_stop:
 */
      /*else*/ {
        __pyx_v_start = 0;
      }
      __pyx_L15:;
    }
    __pyx_L11:;

    /* "View.MemoryView":857
 *                 start = 0
 * 
 *         if have_stop:             # <<<<<<<<<<<<<<
 *             if stop < 0:
 *                 stop += shape
 */
    __pyx_t_2 = (__pyx_v_have_stop != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":858
 * 
 *         if have_stop:
 *             if stop < 0:             # <<<<<<<<<<<<<<
 *                 stop += shape
 *                 if stop < 0:
 */
      __pyx_t_2 = ((__pyx_v_stop < 0) != 0);
      if (__pyx_t_2) {

        /* "View.MemoryView":859
 *         if have_stop:
 *             if stop < 0:
 *                 stop += shape             # <<<<<<<<<<<<<<
 *                 if stop < 0:
 *                     stop = 0
 */
        __pyx_v_stop = (__pyx_v_stop + __pyx_v_shape);

        /* "View.MemoryView":860
 *             if stop < 0:
 *                 stop += shape
 *                 if stop < 0:             # <<<<<<<<<<<<<<
 *                     stop = 0
 *             elif stop > shape:
 */
        __pyx_t_2 = ((__pyx_v_stop < 0) != 0);
        if (__pyx_t_2) {

          /* "View.MemoryView":861
 *                 stop += shape
 *                 if stop < 0:
 *                     stop = 0             # <<<<<<<<<<<<<<
 *             elif stop > shape:
 *                 stop = shape
 */
          __pyx_v_stop = 0;

          /* "View.MemoryView":860
 *             if stop < 0:
 *                 stop += shape
 *                 if stop < 0:             # <<<<<<<<<<<<<<
 *                     stop = 0
 *             elif stop > shape:
 */
        }

        /* "View.MemoryView":858
 * 
 *         if have_stop:
 *             if stop < 0:             # <<<<<<<<<<<<<<
 *                 stop += shape
 *                 if stop < 0:
 */
        goto __pyx_L17;
      }

      /* "View.MemoryView":862
 *                 if stop < 0:
 *                     stop = 0
 *             elif stop > shape:             # <<<<<<<<<<<<<<
 *                 stop = shape
 *         else:
 */
      __pyx_t_2 = ((__pyx_v_stop > __pyx_v_shape) != 0);
      if (__pyx_t_2) {

        /* "View.MemoryView":863
 *                     stop = 0
 *             elif stop > shape:
 *                 stop = shape             # <<<<<<<<<<<<<<
 *         else:
 *             if negative_step:
 */
        __pyx_v_stop = __pyx_v_shape;

        /* "View.MemoryView":862
 *                 if stop < 0:
 *                     stop = 0
 *             elif stop > shape:             # <<<<<<<<<<<<<<
 *                 stop = shape
 *         else:
 */
      }
      __pyx_L17:;

      /* "View.MemoryView":857
 *                 start = 0
 * 
 *         if have_stop:             # <<<<<<<<<<<<<<
 *             if stop < 0:
 *                 stop += shape
 */
      goto __pyx_L16;
    }

    /* "View.MemoryView":865
 *                 stop = shape
 *         else:
 *             if negative_step:             # <<<<<<<<<<<<<<
 *                 stop = -1
 *             else:
 */
    /*else*/ {
      __pyx_t_2 = (__pyx_v_negative_step != 0);
      if (__pyx_t_2) {

        /* "View.MemoryView":866
 *         else:
 *             if negative_step:
 *                 stop = -1             # <<<<<<<<<<<<<<
 *             else:
 *                 stop = shape
 */
        __pyx_v_stop = -1L;

        /* "View.MemoryView":865
 *                 stop = shape
 *         else:
 *             if negative_step:             # <<<<<<<<<<<<<<
 *                 stop = -1
 *             else:
 */
        goto __pyx_L19;
      }

      /* "View.MemoryView":868
 *                 stop = -1
 *             else:
 *                 stop = shape             # <<<<<<<<<<<<<<
 * 
 *         if not have_step:
 */
      /*else*/ {
        __pyx_v_stop = __pyx_v_shape;
      }
      __pyx_L19:;
    }
    __pyx_L16:;

    /* "View.MemoryView":870
 *                 stop = shape
 * 
 *         if not have_step:             # <<<<<<<<<<<<<<
 *             step = 1
 * 
 */
    __pyx_t_2 = ((!(__pyx_v_have_step != 0)) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":871
 * 
 *         if not have_step:
 *             step = 1             # <<<<<<<<<<<<<<
 * 
 * 
 */
      __pyx_v_step = 1;

      /* "View.MemoryView":870
 *                 stop = shape
 * 
 *         if not have_step:             # <<<<<<<<<<<<<<
 *             step = 1
 * 
 */
    }

    /* "View.MemoryView":875
 * 
 *         with cython.cdivision(True):
 *             new_shape = (stop - start) // step             # <<<<<<<<<<<<<<
 * 
 *             if (stop - start) - step * new_shape:
 */
    __pyx_v_new_shape = ((__pyx_v_stop - __pyx_v_start) / __pyx_v_step);

    /* "View.MemoryView":877
 *             new_shape = (stop - start) // step
 * 
 *             if (stop - start) - step * new_shape:             # <<<<<<<<<<<<<<
 *                 new_shape += 1
 * 
 */
    __pyx_t_2 = (((__pyx_v_stop - __pyx_v_start) - (__pyx_v_step * __pyx_v_new_shape)) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":878
 * 
 *             if (stop - start) - step * new_shape:
 *                 new_shape += 1             # <<<<<<<<<<<<<<
 * 
 *         if new_shape < 0:
 */
      __pyx_v_new_shape = (__pyx_v_new_shape + 1);

      /* "View.MemoryView":877
 *             new_shape = (stop - start) // step
 * 
 *             if (stop - start) - step * new_shape:             # <<<<<<<<<<<<<<
 *                 new_shape += 1
 * 
 */
    }

    /* "View.MemoryView":880
 *                 new_shape += 1
 * 
 *         if new_shape < 0:             # <<<<<<<<<<<<<<
 *             new_shape = 0
 * 
 */
    __pyx_t_2 = ((__pyx_v_new_shape < 0) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":881
 * 
 *         if new_shape < 0:
 *             new_shape = 0             # <<<<<<<<<<<<<<
 * 
 * 
 */
      __pyx_v_new_shape = 0;

      /* "View.MemoryView":880
 *                 new_shape += 1
 * 
 *         if new_shape < 0:             # <<<<<<<<<<<<<<
 *             new_shape = 0
 * 
 */
    }

    /* "View.MemoryView":884
 * 
 * 
 *         dst.strides[new_ndim] = stride * step             # <<<<<<<<<<<<<<
 *         dst.shape[new_ndim] = new_shape
 *         dst.suboffsets[new_ndim] = suboffset
 */
    (__pyx_v_dst->strides[__pyx_v_new_ndim]) = (__pyx_v_stride * __pyx_v_step);

    /* "View.MemoryView":885
 * 
 *         dst.strides[new_ndim] = stride * step
 *         dst.shape[new_ndim] = new_shape             # <<<<<<<<<<<<<<
 *         dst.suboffsets[new_ndim] = suboffset
 * 
 */
    (__pyx_v_dst->shape[__pyx_v_new_ndim]) = __pyx_v_new_shape;

    /* "View.MemoryView":886
 *         dst.strides[new_ndim] = stride * step
 *         dst.shape[new_ndim] = new_shape
 *         dst.suboffsets[new_ndim] = suboffset             # <<<<<<<<<<<<<<
 * 
 * 
 */
    (__pyx_v_dst->suboffsets[__pyx_v_new_ndim]) = __pyx_v_suboffset;
  }
  __pyx_L3:;

  /* "View.MemoryView":889
 * 
 * 
 *     if suboffset_dim[0] < 0:             # <<<<<<<<<<<<<<
 *         dst.data += start * stride
 *     else:
 */
  __pyx_t_2 = (((__pyx_v_suboffset_dim[0]) < 0) != 0);
  if (__pyx_t_2) {

    /* "View.MemoryView":890
 * 
 *     if suboffset_dim[0] < 0:
 *         dst.data += start * stride             # <<<<<<<<<<<<<<
 *     else:
 *         dst.suboffsets[suboffset_dim[0]] += start * stride
 */
    __pyx_v_dst->data = (__pyx_v_dst->data + (__pyx_v_start * __pyx_v_stride));

    /* "View.MemoryView":889
 * 
 * 
 *     if suboffset_dim[0] < 0:             # <<<<<<<<<<<<<<
 *         dst.data += start * stride
 *     else:
 */
    goto __pyx_L23;
  }

  /* "View.MemoryView":892
 *         dst.data += start * stride
 *     else:
 *         dst.suboffsets[suboffset_dim[0]] += start * stride             # <<<<<<<<<<<<<<
 * 
 *     if suboffset >= 0:
 */
  /*else*/ {
    __pyx_t_3 = (__pyx_v_suboffset_dim[0]);
    (__pyx_v_dst->suboffsets[__pyx_t_3]) = ((__pyx_v_dst->suboffsets[__pyx_t_3]) + (__pyx_v_start * __pyx_v_stride));
  }
  __pyx_L23:;

  /* "View.MemoryView":894
 *         dst.suboffsets[suboffset_dim[0]] += start * stride
 * 
 *     if suboffset >= 0:             # <<<<<<<<<<<<<<
 *         if not is_slice:
 *             if new_ndim == 0:
 */
  __pyx_t_2 = ((__pyx_v_suboffset >= 0) != 0);
  if (__pyx_t_2) {

    /* "View.MemoryView":895
 * 
 *     if suboffset >= 0:
 *         if not is_slice:             # <<<<<<<<<<<<<<
 *             if new_ndim == 0:
 *                 dst.data = (<char **> dst.data)[0] + suboffset
 */
    __pyx_t_2 = ((!(__pyx_v_is_slice != 0)) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":896
 *     if suboffset >= 0:
 *         if not is_slice:
 *             if new_ndim == 0:             # <<<<<<<<<<<<<<
 *                 dst.data = (<char **> dst.data)[0] + suboffset
 *             else:
 */
      __pyx_t_2 = ((__pyx_v_new_ndim == 0) != 0);
      if (__pyx_t_2) {

        /* "View.MemoryView":897
 *         if not is_slice:
 *             if new_ndim == 0:
 *                 dst.data = (<char **> dst.data)[0] + suboffset             # <<<<<<<<<<<<<<
 *             else:
 *                 _err_dim(IndexError, "All dimensions preceding dimension %d "
 */
        __pyx_v_dst->data = ((((char **)__pyx_v_dst->data)[0]) + __pyx_v_suboffset);

        /* "View.MemoryView":896
 *     if suboffset >= 0:
 *         if not is_slice:
 *             if new_ndim == 0:             # <<<<<<<<<<<<<<
 *                 dst.data = (<char **> dst.data)[0] + suboffset
 *             else:
 */
        goto __pyx_L26;
      }

      /* "View.MemoryView":899
 *                 dst.data = (<char **> dst.data)[0] + suboffset
 *             else:
 *                 _err_dim(IndexError, "All dimensions preceding dimension %d "             # <<<<<<<<<<<<<<
 *                                      "must be indexed and not sliced", dim)
 *         else:
 */
      /*else*/ {

        /* "View.MemoryView":900
 *             else:
 *                 _err_dim(IndexError, "All dimensions preceding dimension %d "
 *                                      "must be indexed and not sliced", dim)             # <<<<<<<<<<<<<<
 *         else:
 *             suboffset_dim[0] = new_ndim
 */
        __pyx_t_3 = __pyx_memoryview_err_dim(__pyx_builtin_IndexError, ((char *)"All dimensions preceding dimension %d must be indexed and not sliced"), __pyx_v_dim); if (unlikely(__pyx_t_3 == ((int)-1))) __PYX_ERR(3, 899, __pyx_L1_error)
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      __pyx_L26:;

      /* "View.MemoryView":895
 * 
 *     if suboffset >= 0:
 *         if not is_slice:             # <<<<<<<<<<<<<<
 *             if new_ndim == 0:
 *                 dst.data = (<char **> dst.data)[0] + suboffset
 */
      goto __pyx_L25;
    }

    /* "View.MemoryView":902
 *                                      "must be indexed and not sliced", dim)
 *         else:
 *             suboffset_dim[0] = new_ndim             # <<<<<<<<<<<<<<
 * 
 *     return 0
 */
    /*else*/ {
      (__pyx_v_suboffset_dim[0]) = __pyx_v_new_ndim;
    }
    __pyx_L25:;

    /* "View.MemoryView":894
 *         dst.suboffsets[suboffset_dim[0]] += start * stride
 * 
 *     if suboffset >= 0:             # <<<<<<<<<<<<<<
 *         if not is_slice:
 *             if new_ndim == 0:
 */
  }

  /* "View.MemoryView":904
 *             suboffset_dim[0] = new_ndim
 * 
 *     return 0             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_r = 0;
  goto __pyx_L0;

  /* "View.MemoryView":807
 * 
 * @cname('__pyx_memoryview_slice_memviewslice')
 * cdef int slice_memviewslice(             # <<<<<<<<<<<<<<
 *         __Pyx_memviewslice *dst,
 *         Py_ssize_t shape, Py_ssize_t stride, Py_ssize_t suboffset,
 */

  /* function exit code */
  __pyx_L1_error:;
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    #endif
    __Pyx_AddTraceback("View.MemoryView.slice_memviewslice", __pyx_clineno, __pyx_lineno, __pyx_filename);
    #ifdef WITH_THREAD
    __Pyx_PyGILState_Release(__pyx_gilstate_save);
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}

/* "View.MemoryView":910
 * 
 * @cname('__pyx_pybuffer_index')
 * cdef char *pybuffer_index(Py_buffer *view, char *bufp, Py_ssize_t index,             # <<<<<<<<<<<<<<
 *                           Py_ssize_t dim) except NULL:
 *     cdef Py_ssize_t shape, stride, suboffset = -1
 */

static char *__pyx_pybuffer_index(Py_buffer *__pyx_v_view, char *__pyx_v_bufp, Py_ssize_t __pyx_v_index, Py_ssize_t __pyx_v_dim) {
  Py_ssize_t __pyx_v_shape;
  Py_ssize_t __pyx_v_stride;
  Py_ssize_t __pyx_v_suboffset;
  Py_ssize_t __pyx_v_itemsize;
  char *__pyx_v_resultp;
  char *__pyx_r;
  __Pyx_RefNannyDeclarations
  Py_ssize_t __pyx_t_1;
  int __pyx_t_2;
  PyObject *__pyx_t_3 = NULL;
  PyObject *__pyx_t_4 = NULL;
  __Pyx_RefNannySetupContext("pybuffer_index", 0);

  /* "View.MemoryView":912
 * cdef char *pybuffer_index(Py_buffer *view, char *bufp, Py_ssize_t index,
 *                           Py_ssize_t dim) except NULL:
 *     cdef Py_ssize_t shape, stride, suboffset = -1             # <<<<<<<<<<<<<<
 *     cdef Py_ssize_t itemsize = view.itemsize
 *     cdef char *resultp
 */
  __pyx_v_suboffset = -1L;

  /* "View.MemoryView":913
 *                           Py_ssize_t dim) except NULL:
 *     cdef Py_ssize_t shape, stride, suboffset = -1
 *     cdef Py_ssize_t itemsize = view.itemsize             # <<<<<<<<<<<<<<
 *     cdef char *resultp
 * 
 */
  __pyx_t_1 = __pyx_v_view->itemsize;
  __pyx_v_itemsize = __pyx_t_1;

  /* "View.MemoryView":916
 *     cdef char *resultp
 * 
 *     if view.ndim == 0:             # <<<<<<<<<<<<<<
 *         shape = view.len / itemsize
 *         stride = itemsize
 */
  __pyx_t_2 = ((__pyx_v_view->ndim == 0) != 0);
  if (__pyx_t_2) {

    /* "View.MemoryView":917
 * 
 *     if view.ndim == 0:
 *         shape = view.len / itemsize             # <<<<<<<<<<<<<<
 *         stride = itemsize
 *     else:
 */
    if (unlikely(__pyx_v_itemsize == 0)) {
      PyErr_SetString(PyExc_ZeroDivisionError, "integer division or modulo by zero");
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    else if (sizeof(Py_ssize_t) == sizeof(long) && (!(((Py_ssize_t)-1) > 0)) && unlikely(__pyx_v_itemsize == (Py_ssize_t)-1)  && unlikely(UNARY_NEG_WOULD_OVERFLOW(__pyx_v_view->len))) {
      PyErr_SetString(PyExc_OverflowError, "value too large to perform division");
      __PYX_ERR(3, 917, __pyx_L1_error)
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    __pyx_v_shape = __Pyx_div_Py_ssize_t(__pyx_v_view->len, __pyx_v_itemsize);

    /* "View.MemoryView":918
 *     if view.ndim == 0:
 *         shape = view.len / itemsize
 *         stride = itemsize             # <<<<<<<<<<<<<<
 *     else:
 *         shape = view.shape[dim]
 */
    __pyx_v_stride = __pyx_v_itemsize;

    /* "View.MemoryView":916
 *     cdef char *resultp
 * 
 *     if view.ndim == 0:             # <<<<<<<<<<<<<<
 *         shape = view.len / itemsize
 *         stride = itemsize
 */
    goto __pyx_L3;
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  /* "View.MemoryView":920
 *         stride = itemsize
 *     else:
 *         shape = view.shape[dim]             # <<<<<<<<<<<<<<
 *         stride = view.strides[dim]
 *         if view.suboffsets != NULL:
 */
  /*else*/ {
    __pyx_v_shape = (__pyx_v_view->shape[__pyx_v_dim]);

    /* "View.MemoryView":921
 *     else:
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 * 
 */
      __pyx_v_f_stride = (__pyx_v_mslice->strides[__pyx_v_i]);

      /* "View.MemoryView":1132
 *         if mslice.shape[i] > 1:
 *             f_stride = mslice.strides[i]
 *             break             # <<<<<<<<<<<<<<
 * 
 *     if abs_py_ssize_t(c_stride) <= abs_py_ssize_t(f_stride):
 */
      goto __pyx_L7_break;

      /* "View.MemoryView":1130
 * 
 *     for i in range(ndim):
 *         if mslice.shape[i] > 1:             # <<<<<<<<<<<<<<
 *             f_stride = mslice.strides[i]
 *             break
 */
    }
  }
  __pyx_L7_break:;

  /* "View.MemoryView":1134
 *             break
 * 
 *     if abs_py_ssize_t(c_stride) <= abs_py_ssize_t(f_stride):             # <<<<<<<<<<<<<<
 *         return 'C'
 *     else:
 */
  __pyx_t_2 = ((abs_py_ssize_t(__pyx_v_c_stride) <= abs_py_ssize_t(__pyx_v_f_stride)) != 0);
  if (__pyx_t_2) {

    /* "View.MemoryView":1135
 * 
 *     if abs_py_ssize_t(c_stride) <= abs_py_ssize_t(f_stride):
 *         return 'C'             # <<<<<<<<<<<<<<
 *     else:
 *         return 'F'
 */
    __pyx_r = 'C';
    goto __pyx_L0;

    /* "View.MemoryView":1134
 *             break
 * 
 *     if abs_py_ssize_t(c_stride) <= abs_py_ssize_t(f_stride):             # <<<<<<<<<<<<<<
 *         return 'C'
 *     else:
 */
  }

  /* "View.MemoryView":1137
 *         return 'C'
 *     else:
 *         return 'F'             # <<<<<<<<<<<<<<
 * 
 * @cython.cdivision(True)
 */
  /*else*/ {
    __pyx_r = 'F';
    goto __pyx_L0;
  }

  /* "View.MemoryView":1116
 * 
 * @cname('__pyx_get_best_slice_order')
 * cdef char get_best_order(__Pyx_memviewslice *mslice, int ndim) nogil:             # <<<<<<<<<<<<<<
 *     """
 *     Figure out the best memory access order for a given slice.
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

/* "View.MemoryView":1140
 * 
 * @cython.cdivision(True)
 * cdef void _copy_strided_to_strided(char *src_data, Py_ssize_t *src_strides,             # <<<<<<<<<<<<<<
 *                                    char *dst_data, Py_ssize_t *dst_strides,
 *                                    Py_ssize_t *src_shape, Py_ssize_t *dst_shape,
 */

static void _copy_strided_to_strided(char *__pyx_v_src_data, Py_ssize_t *__pyx_v_src_strides, char *__pyx_v_dst_data, Py_ssize_t *__pyx_v_dst_strides, Py_ssize_t *__pyx_v_src_shape, Py_ssize_t *__pyx_v_dst_shape, int __pyx_v_ndim, size_t __pyx_v_itemsize) {
  CYTHON_UNUSED Py_ssize_t __pyx_v_i;
  CYTHON_UNUSED Py_ssize_t __pyx_v_src_extent;
  Py_ssize_t __pyx_v_dst_extent;
  Py_ssize_t __pyx_v_src_stride;
  Py_ssize_t __pyx_v_dst_stride;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  Py_ssize_t __pyx_t_4;
  Py_ssize_t __pyx_t_5;
  Py_ssize_t __pyx_t_6;

  /* "View.MemoryView":1147
 * 
 *     cdef Py_ssize_t i
 *     cdef Py_ssize_t src_extent = src_shape[0]             # <<<<<<<<<<<<<<
 *     cdef Py_ssize_t dst_extent = dst_shape[0]
 *     cdef Py_ssize_t src_stride = src_strides[0]
 */
  __pyx_v_src_extent = (__pyx_v_src_shape[0]);

  /* "View.MemoryView":1148
 *     cdef Py_ssize_t i
 *     cdef Py_ssize_t src_extent = src_shape[0]
 *     cdef Py_ssize_t dst_extent = dst_shape[0]             # <<<<<<<<<<<<<<
 *     cdef Py_ssize_t src_stride = src_strides[0]
 *     cdef Py_ssize_t dst_stride = dst_strides[0]
 */
  __pyx_v_dst_extent = (__pyx_v_dst_shape[0]);

  /* "View.MemoryView":1149
 *     cdef Py_ssize_t src_extent = src_shape[0]
 *     cdef Py_ssize_t dst_extent = dst_shape[0]
 *     cdef Py_ssize_t src_stride = src_strides[0]             # <<<<<<<<<<<<<<
 *     cdef Py_ssize_t dst_stride = dst_strides[0]
 * 
 */
  __pyx_v_src_stride = (__pyx_v_src_strides[0]);

  /* "View.MemoryView":1150
 *     cdef Py_ssize_t dst_extent = dst_shape[0]
 *     cdef Py_ssize_t src_stride = src_strides[0]
 *     cdef Py_ssize_t dst_stride = dst_strides[0]             # <<<<<<<<<<<<<<
 * 
 *     if ndim == 1:
 */
  __pyx_v_dst_stride = (__pyx_v_dst_strides[0]);

  /* "View.MemoryView":1152
 *     cdef Py_ssize_t dst_stride = dst_strides[0]
 * 
 *     if ndim == 1:             # <<<<<<<<<<<<<<
 *        if (src_stride > 0 and dst_stride > 0 and
 *            <size_t> src_stride == itemsize == <size_t> dst_stride):
 */
  __pyx_t_1 = ((__pyx_v_ndim == 1) != 0);
  if (__pyx_t_1) {

    /* "View.MemoryView":1153
 * 
 *     if ndim == 1:
 *        if (src_stride > 0 and dst_stride > 0 and             # <<<<<<<<<<<<<<
 *            <size_t> src_stride == itemsize == <size_t> dst_stride):
 *            memcpy(dst_data, src_data, itemsize * dst_extent)
 */
    __pyx_t_2 = ((__pyx_v_src_stride > 0) != 0);
    if (__pyx_t_2) {
    } else {
      __pyx_t_1 = __pyx_t_2;
      goto __pyx_L5_bool_binop_done;
    }
    __pyx_t_2 = ((__pyx_v_dst_stride > 0) != 0);
    if (__pyx_t_2) {
    } else {
      __pyx_t_1 = __pyx_t_2;
      goto __pyx_L5_bool_binop_done;
    }

    /* "View.MemoryView":1154
 *     if ndim == 1:
 *        if (src_stride > 0 and dst_stride > 0 and
 *            <size_t> src_stride == itemsize == <size_t> dst_stride):             # <<<<<<<<<<<<<<
 *            memcpy(dst_data, src_data, itemsize * dst_extent)
 *        else:
 */
    __pyx_t_2 = (((size_t)__pyx_v_src_stride) == __pyx_v_itemsize);
    if (__pyx_t_2) {
      __pyx_t_2 = (__pyx_v_itemsize == ((size_t)__pyx_v_dst_stride));
    }
    __pyx_t_3 = (__pyx_t_2 != 0);
    __pyx_t_1 = __pyx_t_3;
    __pyx_L5_bool_binop_done:;

    /* "View.MemoryView":1153
 * 
 *     if ndim == 1:
 *        if (src_stride > 0 and dst_stride > 0 and             # <<<<<<<<<<<<<<
 *            <size_t> src_stride == itemsize == <size_t> dst_stride):
 *            memcpy(dst_data, src_data, itemsize * dst_extent)
 */
    if (__pyx_t_1) {

      /* "View.MemoryView":1155
 *        if (src_stride > 0 and dst_stride > 0 and
 *            <size_t> src_stride == itemsize == <size_t> dst_stride):
 *            memcpy(dst_data, src_data, itemsize * dst_extent)             # <<<<<<<<<<<<<<
 *        else:
 *            for i in range(dst_extent):
 */
      (void)(memcpy(__pyx_v_dst_data, __pyx_v_src_data, (__pyx_v_itemsize * __pyx_v_dst_extent)));

      /* "View.MemoryView":1153
 * 
 *     if ndim == 1:
 *        if (src_stride > 0 and dst_stride > 0 and             # <<<<<<<<<<<<<<
 *            <size_t> src_stride == itemsize == <size_t> dst_stride):
 *            memcpy(dst_data, src_data, itemsize * dst_extent)
 */
      goto __pyx_L4;
    }

    /* "View.MemoryView":1157
 *            memcpy(dst_data, src_data, itemsize * dst_extent)
 *        else:
 *            for i in range(dst_extent):             # <<<<<<<<<<<<<<
 *                memcpy(dst_data, src_data, itemsize)
 *                src_data += src_stride
 */
    /*else*/ {
      __pyx_t_4 = __pyx_v_dst_extent;
      __pyx_t_5 = __pyx_t_4;
      for (__pyx_t_6 = 0; __pyx_t_6 < __pyx_t_5; __pyx_t_6+=1) {
        __pyx_v_i = __pyx_t_6;

        /* "View.MemoryView":1158
 *        else:
 *            for i in range(dst_extent):
 *                memcpy(dst_data, src_data, itemsize)             # <<<<<<<<<<<<<<
 *                src_data += src_stride
 *                dst_data += dst_stride
 */
        (void)(memcpy(__pyx_v_dst_data, __pyx_v_src_data, __pyx_v_itemsize));

        /* "View.MemoryView":1159
 *            for i in range(dst_extent):
 *                memcpy(dst_data, src_data, itemsize)
 *                src_data += src_stride             # <<<<<<<<<<<<<<
 *                dst_data += dst_stride
 *     else:
 */
        __pyx_v_src_data = (__pyx_v_src_data + __pyx_v_src_stride);

        /* "View.MemoryView":1160
 *                memcpy(dst_data, src_data, itemsize)
 *                src_data += src_stride
 *                dst_data += dst_stride             # <<<<<<<<<<<<<<
 *     else:
 *         for i in range(dst_extent):
 */
        __pyx_v_dst_data = (__pyx_v_dst_data + __pyx_v_dst_stride);
      }
    }
    __pyx_L4:;

    /* "View.MemoryView":1152
 *     cdef Py_ssize_t dst_stride = dst_strides[0]
 * 
 *     if ndim == 1:             # <<<<<<<<<<<<<<
 *        if (src_stride > 0 and dst_stride > 0 and
 *            <size_t> src_stride == itemsize == <size_t> dst_stride):
 */
    goto __pyx_L3;
  }

  /* "View.MemoryView":1162
 *                dst_data += dst_stride
 *     else:
 *         for i in range(dst_extent):             # <<<<<<<<<<<<<<
 *             _copy_strided_to_strided(src_data, src_strides + 1,
 *                                      dst_data, dst_strides + 1,
 */
  /*else*/ {
    __pyx_t_4 = __pyx_v_dst_extent;
    __pyx_t_5 = __pyx_t_4;
    for (__pyx_t_6 = 0; __pyx_t_6 < __pyx_t_5; __pyx_t_6+=1) {
      __pyx_v_i = __pyx_t_6;

      /* "View.MemoryView":1163
 *     else:
 *         for i in range(dst_extent):
 *             _copy_strided_to_strided(src_data, src_strides + 1,             # <<<<<<<<<<<<<<
 *                                      dst_data, dst_strides + 1,
 *                                      src_shape + 1, dst_shape + 1,
 */
      _copy_strided_to_strided(__pyx_v_src_data, (__pyx_v_src_strides + 1), __pyx_v_dst_data, (__pyx_v_dst_strides + 1), (__pyx_v_src_shape + 1), (__pyx_v_dst_shape + 1), (__pyx_v_ndim - 1), __pyx_v_itemsize);

      /* "View.MemoryView":1167
 *                                      src_shape + 1, dst_shape + 1,
 *                                      ndim - 1, itemsize)
 *             src_data += src_stride             # <<<<<<<<<<<<<<
 *             dst_data += dst_stride
 * 
 */
      __pyx_v_src_data = (__pyx_v_src_data + __pyx_v_src_stride);

      /* "View.MemoryView":1168
 *                                      ndim - 1, itemsize)
 *             src_data += src_stride
 *             dst_data += dst_stride             # <<<<<<<<<<<<<<
 * 
 * cdef void copy_strided_to_strided(__Pyx_memviewslice *src,
 */
      __pyx_v_dst_data = (__pyx_v_dst_data + __pyx_v_dst_stride);
    }
  }
  __pyx_L3:;

  /* "View.MemoryView":1140
 * 
 * @cython.cdivision(True)
 * cdef void _copy_strided_to_strided(char *src_data, Py_ssize_t *src_strides,             # <<<<<<<<<<<<<<
 *                                    char *dst_data, Py_ssize_t *dst_strides,
 *                                    Py_ssize_t *src_shape, Py_ssize_t *dst_shape,
 */

  /* function exit code */
}

/* "View.MemoryView":1170
 *             dst_data += dst_stride
 * 
 * cdef void copy_strided_to_strided(__Pyx_memviewslice *src,             # <<<<<<<<<<<<<<
 *                                   __Pyx_memviewslice *dst,
 *                                   int ndim, size_t itemsize) nogil:
 */

static void copy_strided_to_strided(__Pyx_memviewslice *__pyx_v_src, __Pyx_memviewslice *__pyx_v_dst, int __pyx_v_ndim, size_t __pyx_v_itemsize) {

  /* "View.MemoryView":1173
 *                                   __Pyx_memviewslice *dst,
 *                                   int ndim, size_t itemsize) nogil:
 *     _copy_strided_to_strided(src.data, src.strides, dst.data, dst.strides,             # <<<<<<<<<<<<<<
 *                              src.shape, dst.shape, ndim, itemsize)
 * 
 */
  _copy_strided_to_strided(__pyx_v_src->data, __pyx_v_src->strides, __pyx_v_dst->data, __pyx_v_dst->strides, __pyx_v_src->shape, __pyx_v_dst->shape, __pyx_v_ndim, __pyx_v_itemsize);

  /* "View.MemoryView":1170
 *             dst_data += dst_stride
 * 
 * cdef void copy_strided_to_strided(__Pyx_memviewslice *src,             # <<<<<<<<<<<<<<
 *                                   __Pyx_memviewslice *dst,
 *                                   int ndim, size_t itemsize) nogil:
 */

  /* function exit code */
}

/* "View.MemoryView":1177
 * 
 * @cname('__pyx_memoryview_slice_get_size')
 * cdef Py_ssize_t slice_get_size(__Pyx_memviewslice *src, int ndim) nogil:             # <<<<<<<<<<<<<<
 *     "Return the size of the memory occupied by the slice in number of bytes"
 *     cdef Py_ssize_t shape, size = src.memview.view.itemsize
 */

static Py_ssize_t __pyx_memoryview_slice_get_size(__Pyx_memviewslice *__pyx_v_src, int __pyx_v_ndim) {
  Py_ssize_t __pyx_v_shape;
  Py_ssize_t __pyx_v_size;
  Py_ssize_t __pyx_r;
  Py_ssize_t __pyx_t_1;
  Py_ssize_t *__pyx_t_2;
  Py_ssize_t *__pyx_t_3;
  Py_ssize_t *__pyx_t_4;

  /* "View.MemoryView":1179
 * cdef Py_ssize_t slice_get_size(__Pyx_memviewslice *src, int ndim) nogil:
 *     "Return the size of the memory occupied by the slice in number of bytes"
 *     cdef Py_ssize_t shape, size = src.memview.view.itemsize             # <<<<<<<<<<<<<<
 * 
 *     for shape in src.shape[:ndim]:
 */
  __pyx_t_1 = __pyx_v_src->memview->view.itemsize;
  __pyx_v_size = __pyx_t_1;

  /* "View.MemoryView":1181
 *     cdef Py_ssize_t shape, size = src.memview.view.itemsize
 * 
 *     for shape in src.shape[:ndim]:             # <<<<<<<<<<<<<<
 *         size *= shape
 * 
 */
  __pyx_t_3 = (__pyx_v_src->shape + __pyx_v_ndim);
  for (__pyx_t_4 = __pyx_v_src->shape; __pyx_t_4 < __pyx_t_3; __pyx_t_4++) {
    __pyx_t_2 = __pyx_t_4;
    __pyx_v_shape = (__pyx_t_2[0]);

    /* "View.MemoryView":1182
 * 
 *     for shape in src.shape[:ndim]:
 *         size *= shape             # <<<<<<<<<<<<<<
 * 
 *     return size
 */
    __pyx_v_size = (__pyx_v_size * __pyx_v_shape);
  }

  /* "View.MemoryView":1184
 *         size *= shape
 * 
 *     return size             # <<<<<<<<<<<<<<
 * 
 * @cname('__pyx_fill_contig_strides_array')
 */
  __pyx_r = __pyx_v_size;
  goto __pyx_L0;

  /* "View.MemoryView":1177
 * 
 * @cname('__pyx_memoryview_slice_get_size')
 * cdef Py_ssize_t slice_get_size(__Pyx_memviewslice *src, int ndim) nogil:             # <<<<<<<<<<<<<<
 *     "Return the size of the memory occupied by the slice in number of bytes"
 *     cdef Py_ssize_t shape, size = src.memview.view.itemsize
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

/* "View.MemoryView":1187
 * 
 * @cname('__pyx_fill_contig_strides_array')
 * cdef Py_ssize_t fill_contig_strides_array(             # <<<<<<<<<<<<<<
 *                 Py_ssize_t *shape, Py_ssize_t *strides, Py_ssize_t stride,
 *                 int ndim, char order) nogil:
 */

static Py_ssize_t __pyx_fill_contig_strides_array(Py_ssize_t *__pyx_v_shape, Py_ssize_t *__pyx_v_strides, Py_ssize_t __pyx_v_stride, int __pyx_v_ndim, char __pyx_v_order) {
  int __pyx_v_idx;
  Py_ssize_t __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  int __pyx_t_4;

  /* "View.MemoryView":1196
 *     cdef int idx
 * 
 *     if order == 'F':             # <<<<<<<<<<<<<<
 *         for idx in range(ndim):
 *             strides[idx] = stride
 */
  __pyx_t_1 = ((__pyx_v_order == 'F') != 0);
  if (__pyx_t_1) {

    /* "View.MemoryView":1197
 * 
 *     if order == 'F':
 *         for idx in range(ndim):             # <<<<<<<<<<<<<<
 *             strides[idx] = stride
 *             stride *= shape[idx]
 */
    __pyx_t_2 = __pyx_v_ndim;
    __pyx_t_3 = __pyx_t_2;
    for (__pyx_t_4 = 0; __pyx_t_4 < __pyx_t_3; __pyx_t_4+=1) {
      __pyx_v_idx = __pyx_t_4;

      /* "View.MemoryView":1198
 *     if order == 'F':
 *         for idx in range(ndim):
 *             strides[idx] = stride             # <<<<<<<<<<<<<<
 *             stride *= shape[idx]
 *     else:
 */
      (__pyx_v_strides[__pyx_v_idx]) = __pyx_v_stride;

      /* "View.MemoryView":1199
 *         for idx in range(ndim):
 *             strides[idx] = stride
 *             stride *= shape[idx]             # <<<<<<<<<<<<<<
 *     else:
 *         for idx in range(ndim - 1, -1, -1):
 */
      __pyx_v_stride = (__pyx_v_stride * (__pyx_v_shape[__pyx_v_idx]));
    }

    /* "View.MemoryView":1196
 *     cdef int idx
 * 
 *     if order == 'F':             # <<<<<<<<<<<<<<
 *         for idx in range(ndim):
 *             strides[idx] = stride
 */
    goto __pyx_L3;
  }

  /* "View.MemoryView":1201
 *             stride *= shape[idx]
 *     else:
 *         for idx in range(ndim - 1, -1, -1):             # <<<<<<<<<<<<<<
 *             strides[idx] = stride
 *             stride *= shape[idx]
 */
  /*else*/ {
    for (__pyx_t_2 = (__pyx_v_ndim - 1); __pyx_t_2 > -1; __pyx_t_2-=1) {
      __pyx_v_idx = __pyx_t_2;

      /* "View.MemoryView":1202
 *     else:
 *         for idx in range(ndim - 1, -1, -1):
 *             strides[idx] = stride             # <<<<<<<<<<<<<<
 *             stride *= shape[idx]
 * 
 */
      (__pyx_v_strides[__pyx_v_idx]) = __pyx_v_stride;

      /* "View.MemoryView":1203
 *         for idx in range(ndim - 1, -1, -1):
 *             strides[idx] = stride
 *             stride *= shape[idx]             # <<<<<<<<<<<<<<
 * 
 *     return stride
 */
      __pyx_v_stride = (__pyx_v_stride * (__pyx_v_shape[__pyx_v_idx]));
    }
  }
  __pyx_L3:;

  /* "View.MemoryView":1205
 *             stride *= shape[idx]
 * 
 *     return stride             # <<<<<<<<<<<<<<
 * 
 * @cname('__pyx_memoryview_copy_data_to_temp')
 */
  __pyx_r = __pyx_v_stride;
  goto __pyx_L0;

  /* "View.MemoryView":1187
 * 
 * @cname('__pyx_fill_contig_strides_array')
 * cdef Py_ssize_t fill_contig_strides_array(             # <<<<<<<<<<<<<<
 *                 Py_ssize_t *shape, Py_ssize_t *strides, Py_ssize_t stride,
 *                 int ndim, char order) nogil:
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

/* "View.MemoryView":1208
 * 
 * @cname('__pyx_memoryview_copy_data_to_temp')
 * cdef void *copy_data_to_temp(__Pyx_memviewslice *src,             # <<<<<<<<<<<<<<
 *                              __Pyx_memviewslice *tmpslice,
 *                              char order,
 */

static void *__pyx_memoryview_copy_data_to_temp(__Pyx_memviewslice *__pyx_v_src, __Pyx_memviewslice *__pyx_v_tmpslice, char __pyx_v_order, int __pyx_v_ndim) {
  int __pyx_v_i;
  void *__pyx_v_result;
  size_t __pyx_v_itemsize;
  size_t __pyx_v_size;
  void *__pyx_r;
  Py_ssize_t __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  struct __pyx_memoryview_obj *__pyx_t_4;
  int __pyx_t_5;
  int __pyx_t_6;

  /* "View.MemoryView":1219
 *     cdef void *result
 * 
 *     cdef size_t itemsize = src.memview.view.itemsize             # <<<<<<<<<<<<<<
 *     cdef size_t size = slice_get_size(src, ndim)
 * 
 */
  __pyx_t_1 = __pyx_v_src->memview->view.itemsize;
  __pyx_v_itemsize = __pyx_t_1;

  /* "View.MemoryView":1220
 * 
 *     cdef size_t itemsize = src.memview.view.itemsize
 *     cdef size_t size = slice_get_size(src, ndim)             # <<<<<<<<<<<<<<
 * 
 *     result = malloc(size)
 */
  __pyx_v_size = __pyx_memoryview_slice_get_size(__pyx_v_src, __pyx_v_ndim);

  /* "View.MemoryView":1222
 *     cdef size_t size = slice_get_size(src, ndim)
 * 
 *     result = malloc(size)             # <<<<<<<<<<<<<<
 *     if not result:
 *         _err(MemoryError, NULL)
 */
  __pyx_v_result = malloc(__pyx_v_size);

  /* "View.MemoryView":1223
 * 
 *     result = malloc(size)
 *     if not result:             # <<<<<<<<<<<<<<
 *         _err(MemoryError, NULL)
 * 
 */
  __pyx_t_2 = ((!(__pyx_v_result != 0)) != 0);
  if (__pyx_t_2) {

    /* "View.MemoryView":1224
 *     result = malloc(size)
 *     if not result:
 *         _err(MemoryError, NULL)             # <<<<<<<<<<<<<<
 * 
 * 
 */
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 *     cdef char order = get_best_order(&src, src_ndim)
 *     cdef bint broadcasting = False             # <<<<<<<<<<<<<<
 *     cdef bint direct_copy = False
 *     cdef __Pyx_memviewslice tmp
 */
  __pyx_v_broadcasting = 0;

  /* "View.MemoryView":1281
 *     cdef char order = get_best_order(&src, src_ndim)
 *     cdef bint broadcasting = False
 *     cdef bint direct_copy = False             # <<<<<<<<<<<<<<
 *     cdef __Pyx_memviewslice tmp
 * 
 */
  __pyx_v_direct_copy = 0;

  /* "View.MemoryView":1284
 *     cdef __Pyx_memviewslice tmp
 * 
 *     if src_ndim < dst_ndim:             # <<<<<<<<<<<<<<
 *         broadcast_leading(&src, src_ndim, dst_ndim)
 *     elif dst_ndim < src_ndim:
 */
  __pyx_t_2 = ((__pyx_v_src_ndim < __pyx_v_dst_ndim) != 0);
  if (__pyx_t_2) {

    /* "View.MemoryView":1285
 * 
 *     if src_ndim < dst_ndim:
 *         broadcast_leading(&src, src_ndim, dst_ndim)             # <<<<<<<<<<<<<<
 *     elif dst_ndim < src_ndim:
 *         broadcast_leading(&dst, dst_ndim, src_ndim)
 */
    __pyx_memoryview_broadcast_leading((&__pyx_v_src), __pyx_v_src_ndim, __pyx_v_dst_ndim);

    /* "View.MemoryView":1284
 *     cdef __Pyx_memviewslice tmp
 * 
 *     if src_ndim < dst_ndim:             # <<<<<<<<<<<<<<
 *         broadcast_leading(&src, src_ndim, dst_ndim)
 *     elif dst_ndim < src_ndim:
 */
    goto __pyx_L3;
  }

  /* "View.MemoryView":1286
 *     if src_ndim < dst_ndim:
 *         broadcast_leading(&src, src_ndim, dst_ndim)
 *     elif dst_ndim < src_ndim:             # <<<<<<<<<<<<<<
 *         broadcast_leading(&dst, dst_ndim, src_ndim)
 * 
 */
  __pyx_t_2 = ((__pyx_v_dst_ndim < __pyx_v_src_ndim) != 0);
  if (__pyx_t_2) {

    /* "View.MemoryView":1287
 *         broadcast_leading(&src, src_ndim, dst_ndim)
 *     elif dst_ndim < src_ndim:
 *         broadcast_leading(&dst, dst_ndim, src_ndim)             # <<<<<<<<<<<<<<
 * 
 *     cdef int ndim = max(src_ndim, dst_ndim)
 */
    __pyx_memoryview_broadcast_leading((&__pyx_v_dst), __pyx_v_dst_ndim, __pyx_v_src_ndim);

    /* "View.MemoryView":1286
 *     if src_ndim < dst_ndim:
 *         broadcast_leading(&src, src_ndim, dst_ndim)
 *     elif dst_ndim < src_ndim:             # <<<<<<<<<<<<<<
 *         broadcast_leading(&dst, dst_ndim, src_ndim)
 * 
 */
  }
  __pyx_L3:;

  /* "View.MemoryView":1289
 *         broadcast_leading(&dst, dst_ndim, src_ndim)
 * 
 *     cdef int ndim = max(src_ndim, dst_ndim)             # <<<<<<<<<<<<<<
 * 
 *     for i in range(ndim):
 */
  __pyx_t_3 = __pyx_v_dst_ndim;
  __pyx_t_4 = __pyx_v_src_ndim;
  if (((__pyx_t_3 > __pyx_t_4) != 0)) {
    __pyx_t_5 = __pyx_t_3;
  } else {
    __pyx_t_5 = __pyx_t_4;
  }
  __pyx_v_ndim = __pyx_t_5;

  /* "View.MemoryView":1291
 *     cdef int ndim = max(src_ndim, dst_ndim)
 * 
 *     for i in range(ndim):             # <<<<<<<<<<<<<<
 *         if src.shape[i] != dst.shape[i]:
 *             if src.shape[i] == 1:
 */
  __pyx_t_5 = __pyx_v_ndim;
  __pyx_t_3 = __pyx_t_5;
  for (__pyx_t_4 = 0; __pyx_t_4 < __pyx_t_3; __pyx_t_4+=1) {
    __pyx_v_i = __pyx_t_4;

    /* "View.MemoryView":1292
 * 
 *     for i in range(ndim):
 *         if src.shape[i] != dst.shape[i]:             # <<<<<<<<<<<<<<
 *             if src.shape[i] == 1:
 *                 broadcasting = True
 */
    __pyx_t_2 = (((__pyx_v_src.shape[__pyx_v_i]) != (__pyx_v_dst.shape[__pyx_v_i])) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":1293
 *     for i in range(ndim):
 *         if src.shape[i] != dst.shape[i]:
 *             if src.shape[i] == 1:             # <<<<<<<<<<<<<<
 *                 broadcasting = True
 *                 src.strides[i] = 0
 */
      __pyx_t_2 = (((__pyx_v_src.shape[__pyx_v_i]) == 1) != 0);
      if (__pyx_t_2) {

        /* "View.MemoryView":1294
 *         if src.shape[i] != dst.shape[i]:
 *             if src.shape[i] == 1:
 *                 broadcasting = True             # <<<<<<<<<<<<<<
 *                 src.strides[i] = 0
 *             else:
 */
        __pyx_v_broadcasting = 1;

        /* "View.MemoryView":1295
 *             if src.shape[i] == 1:
 *                 broadcasting = True
 *                 src.strides[i] = 0             # <<<<<<<<<<<<<<
 *             else:
 *                 _err_extents(i, dst.shape[i], src.shape[i])
 */
        (__pyx_v_src.strides[__pyx_v_i]) = 0;

        /* "View.MemoryView":1293
 *     for i in range(ndim):
 *         if src.shape[i] != dst.shape[i]:
 *             if src.shape[i] == 1:             # <<<<<<<<<<<<<<
 *                 broadcasting = True
 *                 src.strides[i] = 0
 */
        goto __pyx_L7;
      }

      /* "View.MemoryView":1297
 *                 src.strides[i] = 0
 *             else:
 *                 _err_extents(i, dst.shape[i], src.shape[i])             # <<<<<<<<<<<<<<
 * 
 *         if src.suboffsets[i] >= 0:
 */
      /*else*/ {
        __pyx_t_6 = __pyx_memoryview_err_extents(__pyx_v_i, (__pyx_v_dst.shape[__pyx_v_i]), (__pyx_v_src.shape[__pyx_v_i])); if (unlikely(__pyx_t_6 == ((int)-1))) __PYX_ERR(3, 1297, __pyx_L1_error)
      }
      __pyx_L7:;

      /* "View.MemoryView":1292
 * 
 *     for i in range(ndim):
 *         if src.shape[i] != dst.shape[i]:             # <<<<<<<<<<<<<<
 *             if src.shape[i] == 1:
 *                 broadcasting = True
 */
    }

    /* "View.MemoryView":1299
 *                 _err_extents(i, dst.shape[i], src.shape[i])
 * 
 *         if src.suboffsets[i] >= 0:             # <<<<<<<<<<<<<<
 *             _err_dim(ValueError, "Dimension %d is not direct", i)
 * 
 */
    __pyx_t_2 = (((__pyx_v_src.suboffsets[__pyx_v_i]) >= 0) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":1300
 * 
 *         if src.suboffsets[i] >= 0:
 *             _err_dim(ValueError, "Dimension %d is not direct", i)             # <<<<<<<<<<<<<<
 * 
 *     if slices_overlap(&src, &dst, ndim, itemsize):
 */
      __pyx_t_6 = __pyx_memoryview_err_dim(__pyx_builtin_ValueError, ((char *)"Dimension %d is not direct"), __pyx_v_i); if (unlikely(__pyx_t_6 == ((int)-1))) __PYX_ERR(3, 1300, __pyx_L1_error)

      /* "View.MemoryView":1299
 *                 _err_extents(i, dst.shape[i], src.shape[i])
 * 
 *         if src.suboffsets[i] >= 0:             # <<<<<<<<<<<<<<
 *             _err_dim(ValueError, "Dimension %d is not direct", i)
 * 
 */
    }
  }

  /* "View.MemoryView":1302
 *             _err_dim(ValueError, "Dimension %d is not direct", i)
 * 
 *     if slices_overlap(&src, &dst, ndim, itemsize):             # <<<<<<<<<<<<<<
 * 
 *         if not slice_is_contig(src, order, ndim):
 */
  __pyx_t_2 = (__pyx_slices_overlap((&__pyx_v_src), (&__pyx_v_dst), __pyx_v_ndim, __pyx_v_itemsize) != 0);
  if (__pyx_t_2) {

    /* "View.MemoryView":1304
 *     if slices_overlap(&src, &dst, ndim, itemsize):
 * 
 *         if not slice_is_contig(src, order, ndim):             # <<<<<<<<<<<<<<
 *             order = get_best_order(&dst, ndim)
 * 
 */
    __pyx_t_2 = ((!(__pyx_memviewslice_is_contig(__pyx_v_src, __pyx_v_order, __pyx_v_ndim) != 0)) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":1305
 * 
 *         if not slice_is_contig(src, order, ndim):
 *             order = get_best_order(&dst, ndim)             # <<<<<<<<<<<<<<
 * 
 *         tmpdata = copy_data_to_temp(&src, &tmp, order, ndim)
 */
      __pyx_v_order = __pyx_get_best_slice_order((&__pyx_v_dst), __pyx_v_ndim);

      /* "View.MemoryView":1304
 *     if slices_overlap(&src, &dst, ndim, itemsize):
 * 
 *         if not slice_is_contig(src, order, ndim):             # <<<<<<<<<<<<<<
 *             order = get_best_order(&dst, ndim)
 * 
 */
    }

    /* "View.MemoryView":1307
 *             order = get_best_order(&dst, ndim)
 * 
 *         tmpdata = copy_data_to_temp(&src, &tmp, order, ndim)             # <<<<<<<<<<<<<<
 *         src = tmp
 * 
 */
    __pyx_t_7 = __pyx_memoryview_copy_data_to_temp((&__pyx_v_src), (&__pyx_v_tmp), __pyx_v_order, __pyx_v_ndim); if (unlikely(__pyx_t_7 == ((void *)NULL))) __PYX_ERR(3, 1307, __pyx_L1_error)
    __pyx_v_tmpdata = __pyx_t_7;

    /* "View.MemoryView":1308
 * 
 *         tmpdata = copy_data_to_temp(&src, &tmp, order, ndim)
 *         src = tmp             # <<<<<<<<<<<<<<
 * 
 *     if not broadcasting:
 */
    __pyx_v_src = __pyx_v_tmp;

    /* "View.MemoryView":1302
 *             _err_dim(ValueError, "Dimension %d is not direct", i)
 * 
 *     if slices_overlap(&src, &dst, ndim, itemsize):             # <<<<<<<<<<<<<<
 * 
 *         if not slice_is_contig(src, order, ndim):
 */
  }

  /* "View.MemoryView":1310
 *         src = tmp
 * 
 *     if not broadcasting:             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_t_2 = ((!(__pyx_v_broadcasting != 0)) != 0);
  if (__pyx_t_2) {

    /* "View.MemoryView":1313
 * 
 * 
 *         if slice_is_contig(src, 'C', ndim):             # <<<<<<<<<<<<<<
 *             direct_copy = slice_is_contig(dst, 'C', ndim)
 *         elif slice_is_contig(src, 'F', ndim):
 */
    __pyx_t_2 = (__pyx_memviewslice_is_contig(__pyx_v_src, 'C', __pyx_v_ndim) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":1314
 * 
 *         if slice_is_contig(src, 'C', ndim):
 *             direct_copy = slice_is_contig(dst, 'C', ndim)             # <<<<<<<<<<<<<<
 *         elif slice_is_contig(src, 'F', ndim):
 *             direct_copy = slice_is_contig(dst, 'F', ndim)
 */
      __pyx_v_direct_copy = __pyx_memviewslice_is_contig(__pyx_v_dst, 'C', __pyx_v_ndim);

      /* "View.MemoryView":1313
 * 
 * 
 *         if slice_is_contig(src, 'C', ndim):             # <<<<<<<<<<<<<<
 *             direct_copy = slice_is_contig(dst, 'C', ndim)
 *         elif slice_is_contig(src, 'F', ndim):
 */
      goto __pyx_L12;
    }

    /* "View.MemoryView":1315
 *         if slice_is_contig(src, 'C', ndim):
 *             direct_copy = slice_is_contig(dst, 'C', ndim)
 *         elif slice_is_contig(src, 'F', ndim):             # <<<<<<<<<<<<<<
 *             direct_copy = slice_is_contig(dst, 'F', ndim)
 * 
 */
    __pyx_t_2 = (__pyx_memviewslice_is_contig(__pyx_v_src, 'F', __pyx_v_ndim) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":1316
 *             direct_copy = slice_is_contig(dst, 'C', ndim)
 *         elif slice_is_contig(src, 'F', ndim):
 *             direct_copy = slice_is_contig(dst, 'F', ndim)             # <<<<<<<<<<<<<<
 * 
 *         if direct_copy:
 */
      __pyx_v_direct_copy = __pyx_memviewslice_is_contig(__pyx_v_dst, 'F', __pyx_v_ndim);

      /* "View.MemoryView":1315
 *         if slice_is_contig(src, 'C', ndim):
 *             direct_copy = slice_is_contig(dst, 'C', ndim)
 *         elif slice_is_contig(src, 'F', ndim):             # <<<<<<<<<<<<<<
 *             direct_copy = slice_is_contig(dst, 'F', ndim)
 * 
 */
    }
    __pyx_L12:;

    /* "View.MemoryView":1318
 *             direct_copy = slice_is_contig(dst, 'F', ndim)
 * 
 *         if direct_copy:             # <<<<<<<<<<<<<<
 * 
 *             refcount_copying(&dst, dtype_is_object, ndim, False)
 */
    __pyx_t_2 = (__pyx_v_direct_copy != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":1320
 *         if direct_copy:
 * 
 *             refcount_copying(&dst, dtype_is_object, ndim, False)             # <<<<<<<<<<<<<<
 *             memcpy(dst.data, src.data, slice_get_size(&src, ndim))
 *             refcount_copying(&dst, dtype_is_object, ndim, True)
 */
      __pyx_memoryview_refcount_copying((&__pyx_v_dst), __pyx_v_dtype_is_object, __pyx_v_ndim, 0);

      /* "View.MemoryView":1321
 * 
 *             refcount_copying(&dst, dtype_is_object, ndim, False)
 *             memcpy(dst.data, src.data, slice_get_size(&src, ndim))             # <<<<<<<<<<<<<<
 *             refcount_copying(&dst, dtype_is_object, ndim, True)
 *             free(tmpdata)
 */
      (void)(memcpy(__pyx_v_dst.data, __pyx_v_src.data, __pyx_memoryview_slice_get_size((&__pyx_v_src), __pyx_v_ndim)));

      /* "View.MemoryView":1322
 *             refcount_copying(&dst, dtype_is_object, ndim, False)
 *             memcpy(dst.data, src.data, slice_get_size(&src, ndim))
 *             refcount_copying(&dst, dtype_is_object, ndim, True)             # <<<<<<<<<<<<<<
 *             free(tmpdata)
 *             return 0
 */
      __pyx_memoryview_refcount_copying((&__pyx_v_dst), __pyx_v_dtype_is_object, __pyx_v_ndim, 1);

      /* "View.MemoryView":1323
 *             memcpy(dst.data, src.data, slice_get_size(&src, ndim))
 *             refcount_copying(&dst, dtype_is_object, ndim, True)
 *             free(tmpdata)             # <<<<<<<<<<<<<<
 *             return 0
 * 
 */
      free(__pyx_v_tmpdata);

      /* "View.MemoryView":1324
 *             refcount_copying(&dst, dtype_is_object, ndim, True)
 *             free(tmpdata)
 *             return 0             # <<<<<<<<<<<<<<
 * 
 *     if order == 'F' == get_best_order(&dst, ndim):
 */
      __pyx_r = 0;
      goto __pyx_L0;

      /* "View.MemoryView":1318
 *             direct_copy = slice_is_contig(dst, 'F', ndim)
 * 
 *         if direct_copy:             # <<<<<<<<<<<<<<
 * 
 *             refcount_copying(&dst, dtype_is_object, ndim, False)
 */
    }

    /* "View.MemoryView":1310
 *         src = tmp
 * 
 *     if not broadcasting:             # <<<<<<<<<<<<<<
 * 
 * 
 */
  }

  /* "View.MemoryView":1326
 *             return 0
 * 
 *     if order == 'F' == get_best_order(&dst, ndim):             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_t_2 = (__pyx_v_order == 'F');
  if (__pyx_t_2) {
    __pyx_t_2 = ('F' == __pyx_get_best_slice_order((&__pyx_v_dst), __pyx_v_ndim));
  }
  __pyx_t_8 = (__pyx_t_2 != 0);
  if (__pyx_t_8) {

    /* "View.MemoryView":1329
 * 
 * 
 *         transpose_memslice(&src)             # <<<<<<<<<<<<<<
 *         transpose_memslice(&dst)
 * 
 */
    __pyx_t_5 = __pyx_memslice_transpose((&__pyx_v_src)); if (unlikely(__pyx_t_5 == ((int)0))) __PYX_ERR(3, 1329, __pyx_L1_error)

    /* "View.MemoryView":1330
 * 
 *         transpose_memslice(&src)
 *         transpose_memslice(&dst)             # <<<<<<<<<<<<<<
 * 
 *     refcount_copying(&dst, dtype_is_object, ndim, False)
 */
    __pyx_t_5 = __pyx_memslice_transpose((&__pyx_v_dst)); if (unlikely(__pyx_t_5 == ((int)0))) __PYX_ERR(3, 1330, __pyx_L1_error)

    /* "View.MemoryView":1326
 *             return 0
 * 
 *     if order == 'F' == get_best_order(&dst, ndim):             # <<<<<<<<<<<<<<
 * 
 * 
 */
  }

  /* "View.MemoryView":1332
 *         transpose_memslice(&dst)
 * 
 *     refcount_copying(&dst, dtype_is_object, ndim, False)             # <<<<<<<<<<<<<<
 *     copy_strided_to_strided(&src, &dst, ndim, itemsize)
 *     refcount_copying(&dst, dtype_is_object, ndim, True)
 */
  __pyx_memoryview_refcount_copying((&__pyx_v_dst), __pyx_v_dtype_is_object, __pyx_v_ndim, 0);

  /* "View.MemoryView":1333
 * 
 *     refcount_copying(&dst, dtype_is_object, ndim, False)
 *     copy_strided_to_strided(&src, &dst, ndim, itemsize)             # <<<<<<<<<<<<<<
 *     refcount_copying(&dst, dtype_is_object, ndim, True)
 * 
 */
  copy_strided_to_strided((&__pyx_v_src), (&__pyx_v_dst), __pyx_v_ndim, __pyx_v_itemsize);

  /* "View.MemoryView":1334
 *     refcount_copying(&dst, dtype_is_object, ndim, False)
 *     copy_strided_to_strided(&src, &dst, ndim, itemsize)
 *     refcount_copying(&dst, dtype_is_object, ndim, True)             # <<<<<<<<<<<<<<
 * 
 *     free(tmpdata)
 */
  __pyx_memoryview_refcount_copying((&__pyx_v_dst), __pyx_v_dtype_is_object, __pyx_v_ndim, 1);

  /* "View.MemoryView":1336
 *     refcount_copying(&dst, dtype_is_object, ndim, True)
 * 
 *     free(tmpdata)             # <<<<<<<<<<<<<<
 *     return 0
 * 
 */
  free(__pyx_v_tmpdata);

  /* "View.MemoryView":1337
 * 
 *     free(tmpdata)
 *     return 0             # <<<<<<<<<<<<<<
 * 
 * @cname('__pyx_memoryview_broadcast_leading')
 */
  __pyx_r = 0;
  goto __pyx_L0;

  /* "View.MemoryView":1268
 * 
 * @cname('__pyx_memoryview_copy_contents')
 * cdef int memoryview_copy_contents(__Pyx_memviewslice src,             # <<<<<<<<<<<<<<
 *                                   __Pyx_memviewslice dst,
 *                                   int src_ndim, int dst_ndim,
 */

  /* function exit code */
  __pyx_L1_error:;
  {
    #ifdef WITH_THREAD
    PyGILState_STATE __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
    #endif
    __Pyx_AddTraceback("View.MemoryView.memoryview_copy_contents", __pyx_clineno, __pyx_lineno, __pyx_filename);
    #ifdef WITH_THREAD
    __Pyx_PyGILState_Release(__pyx_gilstate_save);
    #endif
  }
  __pyx_r = -1;
  __pyx_L0:;
  return __pyx_r;
}

/* "View.MemoryView":1340
 * 
 * @cname('__pyx_memoryview_broadcast_leading')
 * cdef void broadcast_leading(__Pyx_memviewslice *mslice,             # <<<<<<<<<<<<<<
 *                             int ndim,
 *                             int ndim_other) nogil:
 */

static void __pyx_memoryview_broadcast_leading(__Pyx_memviewslice *__pyx_v_mslice, int __pyx_v_ndim, int __pyx_v_ndim_other) {
  int __pyx_v_i;
  int __pyx_v_offset;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;

  /* "View.MemoryView":1344
 *                             int ndim_other) nogil:
 *     cdef int i
 *     cdef int offset = ndim_other - ndim             # <<<<<<<<<<<<<<
 * 
 *     for i in range(ndim - 1, -1, -1):
 */
  __pyx_v_offset = (__pyx_v_ndim_other - __pyx_v_ndim);

  /* "View.MemoryView":1346
 *     cdef int offset = ndim_other - ndim
 * 
 *     for i in range(ndim - 1, -1, -1):             # <<<<<<<<<<<<<<
 *         mslice.shape[i + offset] = mslice.shape[i]
 *         mslice.strides[i + offset] = mslice.strides[i]
 */
  for (__pyx_t_1 = (__pyx_v_ndim - 1); __pyx_t_1 > -1; __pyx_t_1-=1) {
    __pyx_v_i = __pyx_t_1;

    /* "View.MemoryView":1347
 * 
 *     for i in range(ndim - 1, -1, -1):
 *         mslice.shape[i + offset] = mslice.shape[i]             # <<<<<<<<<<<<<<
 *         mslice.strides[i + offset] = mslice.strides[i]
 *         mslice.suboffsets[i + offset] = mslice.suboffsets[i]
 */
    (__pyx_v_mslice->shape[(__pyx_v_i + __pyx_v_offset)]) = (__pyx_v_mslice->shape[__pyx_v_i]);

    /* "View.MemoryView":1348
 *     for i in range(ndim - 1, -1, -1):
 *         mslice.shape[i + offset] = mslice.shape[i]
 *         mslice.strides[i + offset] = mslice.strides[i]             # <<<<<<<<<<<<<<
 *         mslice.suboffsets[i + offset] = mslice.suboffsets[i]
 * 
 */
    (__pyx_v_mslice->strides[(__pyx_v_i + __pyx_v_offset)]) = (__pyx_v_mslice->strides[__pyx_v_i]);

    /* "View.MemoryView":1349
 *         mslice.shape[i + offset] = mslice.shape[i]
 *         mslice.strides[i + offset] = mslice.strides[i]
 *         mslice.suboffsets[i + offset] = mslice.suboffsets[i]             # <<<<<<<<<<<<<<
 * 
 *     for i in range(offset):
 */
    (__pyx_v_mslice->suboffsets[(__pyx_v_i + __pyx_v_offset)]) = (__pyx_v_mslice->suboffsets[__pyx_v_i]);
  }

  /* "View.MemoryView":1351
 *         mslice.suboffsets[i + offset] = mslice.suboffsets[i]
 * 
 *     for i in range(offset):             # <<<<<<<<<<<<<<
 *         mslice.shape[i] = 1
 *         mslice.strides[i] = mslice.strides[0]
 */
  __pyx_t_1 = __pyx_v_offset;
  __pyx_t_2 = __pyx_t_1;
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  0, /*tp_str*/
  __pyx_tp_getattro_array, /*tp_getattro*/
  0, /*tp_setattro*/
  &__pyx_tp_as_buffer_array, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE, /*tp_flags*/
  0, /*tp_doc*/
  0, /*tp_traverse*/
  0, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_array, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_array, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_array, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
};

static PyObject *__pyx_tp_new_Enum(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  struct __pyx_MemviewEnum_obj *p;
  PyObject *o;
  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_MemviewEnum_obj *)o);
  p->name = Py_None; Py_INCREF(Py_None);
  return o;
}

static void __pyx_tp_dealloc_Enum(PyObject *o) {
  struct __pyx_MemviewEnum_obj *p = (struct __pyx_MemviewEnum_obj *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->name);
  (*Py_TYPE(o)->tp_free)(o);
}

static int __pyx_tp_traverse_Enum(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_MemviewEnum_obj *p = (struct __pyx_MemviewEnum_obj *)o;
  if (p->name) {
    e = (*v)(p->name, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_Enum(PyObject *o) {
  PyObject* tmp;
  struct __pyx_MemviewEnum_obj *p = (struct __pyx_MemviewEnum_obj *)o;
  tmp = ((PyObject*)p->name);
  p->name = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

static PyMethodDef __pyx_methods_Enum[] = {
  {"__reduce_cython__", (PyCFunction)__pyx_pw___pyx_MemviewEnum_1__reduce_cython__, METH_NOARGS, 0},
  {"__setstate_cython__", (PyCFunction)__pyx_pw___pyx_MemviewEnum_3__setstate_cython__, METH_O, 0},
  {0, 0, 0, 0}
};

static PyTypeObject __pyx_type___pyx_MemviewEnum = {
  PyVarObject_HEAD_INIT(0, 0)
  "pyFAI.ext._distortion.Enum", /*tp_name*/
  sizeof(struct __pyx_MemviewEnum_obj), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_Enum, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  __pyx_MemviewEnum___repr__, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  0, /*tp_doc*/
  __pyx_tp_traverse_Enum, /*tp_traverse*/
  __pyx_tp_clear_Enum, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_Enum, /*tp_methods*/
  0, /*tp_members*/
  0, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  __pyx_MemviewEnum___init__, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_Enum, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
};
static struct __pyx_vtabstruct_memoryview __pyx_vtable_memoryview;

static PyObject *__pyx_tp_new_memoryview(PyTypeObject *t, PyObject *a, PyObject *k) {
  struct __pyx_memoryview_obj *p;
  PyObject *o;
  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_memoryview_obj *)o);
  p->__pyx_vtab = __pyx_vtabptr_memoryview;
  p->obj = Py_None; Py_INCREF(Py_None);
  p->_size = Py_None; Py_INCREF(Py_None);
  p->_array_interface = Py_None; Py_INCREF(Py_None);
  p->view.obj = NULL;
  if (unlikely(__pyx_memoryview___cinit__(o, a, k) < 0)) goto bad;
  return o;
  bad:
  Py_DECREF(o); o = 0;
  return NULL;
}

static void __pyx_tp_dealloc_memoryview(PyObject *o) {
  struct __pyx_memoryview_obj *p = (struct __pyx_memoryview_obj *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  {
    PyObject *etype, *eval, *etb;
    PyErr_Fetch(&etype, &eval, &etb);
    ++Py_REFCNT(o);
    __pyx_memoryview___dealloc__(o);
    --Py_REFCNT(o);
    PyErr_Restore(etype, eval, etb);
  }
  Py_CLEAR(p->obj);
  Py_CLEAR(p->_size);
  Py_CLEAR(p->_array_interface);
  (*Py_TYPE(o)->tp_free)(o);
}

static int __pyx_tp_traverse_memoryview(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_memoryview_obj *p = (struct __pyx_memoryview_obj *)o;
  if (p->obj) {
    e = (*v)(p->obj, a); if (e) return e;
  }
  if (p->_size) {
    e = (*v)(p->_size, a); if (e) return e;
  }
  if (p->_array_interface) {
    e = (*v)(p->_array_interface, a); if (e) return e;
  }
  if (p->view.obj) {
    e = (*v)(p->view.obj, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_memoryview(PyObject *o) {
  PyObject* tmp;
  struct __pyx_memoryview_obj *p = (struct __pyx_memoryview_obj *)o;
  tmp = ((PyObject*)p->obj);
  p->obj = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->_size);
  p->_size = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->_array_interface);
  p->_array_interface = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  Py_CLEAR(p->view.obj);
  return 0;
}
static PyObject *__pyx_sq_item_memoryview(PyObject *o, Py_ssize_t i) {
  PyObject *r;
  PyObject *x = PyInt_FromSsize_t(i); if(!x) return 0;
  r = Py_TYPE(o)->tp_as_mapping->mp_subscript(o, x);
  Py_DECREF(x);
  return r;
}

static int __pyx_mp_ass_subscript_memoryview(PyObject *o, PyObject *i, PyObject *v) {
  if (v) {
    return __pyx_memoryview___setitem__(o, i, v);
  }
  else {
    PyErr_Format(PyExc_NotImplementedError,
      "Subscript deletion not supported by %.200s", Py_TYPE(o)->tp_name);
    return -1;
  }
}

static PyObject *__pyx_getprop___pyx_memoryview_T(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_1T_1__get__(o);
}

static PyObject *__pyx_getprop___pyx_memoryview_base(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_4base_1__get__(o);
}

static PyObject *__pyx_getprop___pyx_memoryview_shape(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_5shape_1__get__(o);
}

static PyObject *__pyx_getprop___pyx_memoryview_strides(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_7strides_1__get__(o);
}

static PyObject *__pyx_getprop___pyx_memoryview_suboffsets(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_10suboffsets_1__get__(o);
}

static PyObject *__pyx_getprop___pyx_memoryview_ndim(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_4ndim_1__get__(o);
}

static PyObject *__pyx_getprop___pyx_memoryview_itemsize(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_8itemsize_1__get__(o);
}

static PyObject *__pyx_getprop___pyx_memoryview_nbytes(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_6nbytes_1__get__(o);
}

static PyObject *__pyx_getprop___pyx_memoryview_size(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_4size_1__get__(o);
}

static PyMethodDef __pyx_methods_memoryview[] = {
  {"is_c_contig", (PyCFunction)__pyx_memoryview_is_c_contig, METH_NOARGS, 0},
  {"is_f_contig", (PyCFunction)__pyx_memoryview_is_f_contig, METH_NOARGS, 0},
  {"copy", (PyCFunction)__pyx_memoryview_copy, METH_NOARGS, 0},
  {"copy_fortran", (PyCFunction)__pyx_memoryview_copy_fortran, METH_NOARGS, 0},
  {"__reduce_cython__", (PyCFunction)__pyx_pw___pyx_memoryview_1__reduce_cython__, METH_NOARGS, 0},
  {"__setstate_cython__", (PyCFunction)__pyx_pw___pyx_memoryview_3__setstate_cython__, METH_O, 0},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_memoryview[] = {
  {(char *)"T", __pyx_getprop___pyx_memoryview_T, 0, (char *)0, 0},
  {(char *)"base", __pyx_getprop___pyx_memoryview_base, 0, (char *)0, 0},
  {(char *)"shape", __pyx_getprop___pyx_memoryview_shape, 0, (char *)0, 0},
  {(char *)"strides", __pyx_getprop___pyx_memoryview_strides, 0, (char *)0, 0},
  {(char *)"suboffsets", __pyx_getprop___pyx_memoryview_suboffsets, 0, (char *)0, 0},
  {(char *)"ndim", __pyx_getprop___pyx_memoryview_ndim, 0, (char *)0, 0},
  {(char *)"itemsize", __pyx_getprop___pyx_memoryview_itemsize, 0, (char *)0, 0},
  {(char *)"nbytes", __pyx_getprop___pyx_memoryview_nbytes, 0, (char *)0, 0},
  {(char *)"size", __pyx_getprop___pyx_memoryview_size, 0, (char *)0, 0},
  {0, 0, 0, 0, 0}
};

static PySequenceMethods __pyx_tp_as_sequence_memoryview = {
  __pyx_memoryview___len__, /*sq_length*/
  0, /*sq_concat*/
  0, /*sq_repeat*/
  __pyx_sq_item_memoryview, /*sq_item*/
  0, /*sq_slice*/
  0, /*sq_ass_item*/
  0, /*sq_ass_slice*/
  0, /*sq_contains*/
  0, /*sq_inplace_concat*/
  0, /*sq_inplace_repeat*/
};

static PyMappingMethods __pyx_tp_as_mapping_memoryview = {
  __pyx_memoryview___len__, /*mp_length*/
  __pyx_memoryview___getitem__, /*mp_subscript*/
  __pyx_mp_ass_subscript_memoryview, /*mp_ass_subscript*/
};

static PyBufferProcs __pyx_tp_as_buffer_memoryview = {
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getreadbuffer*/
  #endif
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getwritebuffer*/
  #endif
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getsegcount*/
  #endif
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getcharbuffer*/
  #endif
  __pyx_memoryview_getbuffer, /*bf_getbuffer*/
  0, /*bf_releasebuffer*/
};

static PyTypeObject __pyx_type___pyx_memoryview = {
  PyVarObject_HEAD_INIT(0, 0)
  "pyFAI.ext._distortion.memoryview", /*tp_name*/
  sizeof(struct __pyx_memoryview_obj), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_memoryview, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  __pyx_memoryview___repr__, /*tp_repr*/
  0, /*tp_as_number*/
  &__pyx_tp_as_sequence_memoryview, /*tp_as_sequence*/
  &__pyx_tp_as_mapping_memoryview, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  __pyx_memoryview___str__, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  &__pyx_tp_as_buffer_memoryview, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  0, /*tp_doc*/
  __pyx_tp_traverse_memoryview, /*tp_traverse*/
  __pyx_tp_clear_memoryview, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_memoryview, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_memoryview, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_memoryview, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
};
static struct __pyx_vtabstruct__memoryviewslice __pyx_vtable__memoryviewslice;

static PyObject *__pyx_tp_new__memoryviewslice(PyTypeObject *t, PyObject *a, PyObject *k) {
  struct __pyx_memoryviewslice_obj *p;
  PyObject *o = __pyx_tp_new_memoryview(t, a, k);
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_memoryviewslice_obj *)o);
  p->__pyx_base.__pyx_vtab = (struct __pyx_vtabstruct_memoryview*)__pyx_vtabptr__memoryviewslice;
  p->from_object = Py_None; Py_INCREF(Py_None);
  p->from_slice.memview = NULL;
  return o;
}

static void __pyx_tp_dealloc__memoryviewslice(PyObject *o) {
  struct __pyx_memoryviewslice_obj *p = (struct __pyx_memoryviewslice_obj *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  {
    PyObject *etype, *eval, *etb;
    PyErr_Fetch(&etype, &eval, &etb);
    ++Py_REFCNT(o);
    __pyx_memoryviewslice___dealloc__(o);
    --Py_REFCNT(o);
    PyErr_Restore(etype, eval, etb);
  }
  Py_CLEAR(p->from_object);
  PyObject_GC_Track(o);
  __pyx_tp_dealloc_memoryview(o);
}

static int __pyx_tp_traverse__memoryviewslice(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_memoryviewslice_obj *p = (struct __pyx_memoryviewslice_obj *)o;
  e = __pyx_tp_traverse_memoryview(o, v, a); if (e) return e;
  if (p->from_object) {
    e = (*v)(p->from_object, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear__memoryviewslice(PyObject *o) {
  PyObject* tmp;
  struct __pyx_memoryviewslice_obj *p = (struct __pyx_memoryviewslice_obj *)o;
  __pyx_tp_clear_memoryview(o);
  tmp = ((PyObject*)p->from_object);
  p->from_object = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  __PYX_XDEC_MEMVIEW(&p->from_slice, 1);
  return 0;
}

static PyObject *__pyx_getprop___pyx_memoryviewslice_base(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_16_memoryviewslice_4base_1__get__(o);
}

static PyMethodDef __pyx_methods__memoryviewslice[] = {
  {"__reduce_cython__", (PyCFunction)__pyx_pw___pyx_memoryviewslice_1__reduce_cython__, METH_NOARGS, 0},
  {"__setstate_cython__", (PyCFunction)__pyx_pw___pyx_memoryviewslice_3__setstate_cython__, METH_O, 0},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets__memoryviewslice[] = {
  {(char *)"base", __pyx_getprop___pyx_memoryviewslice_base, 0, (char *)0, 0},
  {0, 0, 0, 0, 0}
};

static PyTypeObject __pyx_type___pyx_memoryviewslice = {
  PyVarObject_HEAD_INIT(0, 0)
  "pyFAI.ext._distortion._memoryviewslice", /*tp_name*/
  sizeof(struct __pyx_memoryviewslice_obj), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc__memoryviewslice, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY
  __pyx_memoryview___repr__, /*tp_repr*/
  #else
  0, /*tp_repr*/
  #endif
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  #if CYTHON_COMPILING_IN_PYPY
  __pyx_memoryview___str__, /*tp_str*/
  #else
  0, /*tp_str*/
  #endif
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  "Internal class for passing memoryview slices to Python", /*tp_doc*/
  __pyx_tp_traverse__memoryviewslice, /*tp_traverse*/
  __pyx_tp_clear__memoryviewslice, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods__memoryviewslice, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets__memoryviewslice, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new__memoryviewslice, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
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#if CYTHON_PEP489_MULTI_PHASE_INIT
static PyObject* __pyx_pymod_create(PyObject *spec, PyModuleDef *def); /*proto*/
static int __pyx_pymod_exec__distortion(PyObject* module); /*proto*/
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};
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#ifndef CYTHON_SMALL_CODE
#if defined(__clang__)
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#elif defined(__GNUC__) && (__GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ >= 3))
    #define CYTHON_SMALL_CODE __attribute__((cold))
#else
    #define CYTHON_SMALL_CODE
#endif
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 * 
 * _numpy_1_12_py2_bug = ((sys.version_info.major == 2) and
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 * # Imports at the C level
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 * 
 * 
 * class CsrIntegrator2d(object):             # <<<<<<<<<<<<<<
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 *             self.set_matrix(*lut)
 * 
 *     def set_matrix(self,             # <<<<<<<<<<<<<<
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 */
  __pyx_tuple__268 = PyTuple_Pack(5, __pyx_n_s_self, __pyx_n_s_data, __pyx_n_s_indices, __pyx_n_s_indptr, __pyx_n_s_csr_matrix); if (unlikely(!__pyx_tuple__268)) __PYX_ERR(0, 97, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__268);
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  /* "pyFAI/ext/sparse_common.pxi":117
 *     @cython.boundscheck(False)
 *     @cython.wraparound(False)
 *     def integrate_legacy(self,             # <<<<<<<<<<<<<<
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 *                          dummy=None,
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  __pyx_tuple__270 = PyTuple_Pack(39, __pyx_n_s_self, __pyx_n_s_weights, __pyx_n_s_dummy, __pyx_n_s_delta_dummy, __pyx_n_s_dark, __pyx_n_s_flat, __pyx_n_s_solidAngle, __pyx_n_s_polarization, __pyx_n_s_normalization_factor, __pyx_n_s_coef_power, __pyx_n_s_i, __pyx_n_s_j, __pyx_n_s_idx, __pyx_n_s_bins, __pyx_n_s_size, __pyx_n_s_acc_data, __pyx_n_s_acc_count, __pyx_n_s_epsilon, __pyx_n_s_coef, __pyx_n_s_data, __pyx_n_s_cdummy, __pyx_n_s_cddummy, __pyx_n_s_do_dummy, __pyx_n_s_do_dark, __pyx_n_s_do_flat, __pyx_n_s_do_polarization, __pyx_n_s_do_solidAngle, __pyx_n_s_sum_data, __pyx_n_s_sum_count, __pyx_n_s_merged, __pyx_n_s_ccoef, __pyx_n_s_cdata, __pyx_n_s_tdata, __pyx_n_s_cflat, __pyx_n_s_cdark, __pyx_n_s_csolidAngle, __pyx_n_s_cpolarization, __pyx_n_s_indices, __pyx_n_s_indptr); if (unlikely(!__pyx_tuple__270)) __PYX_ERR(0, 117, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__270);
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  __pyx_codeobj__271 = (PyObject*)__Pyx_PyCode_New(10, 0, 39, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__270, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_pyFAI_ext_sparse_common_pxi, __pyx_n_s_integrate_legacy, 117, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__271)) __PYX_ERR(0, 117, __pyx_L1_error)

  /* "pyFAI/ext/_distortion.pyx":63
 * from .sparse_builder cimport SparseBuilder
 * 
 * cdef bint NEED_DECREF = sys.version_info < (2, 7) and numpy.version.version < "1.5"             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_tuple__272 = PyTuple_Pack(2, __pyx_int_2, __pyx_int_7); if (unlikely(!__pyx_tuple__272)) __PYX_ERR(1, 63, __pyx_L1_error)
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  /* "pyFAI/ext/_distortion.pyx":252
 * @cython.wraparound(False)
 * @cython.initializedcheck(False)
 * def calc_pos(floating[:, :, :, ::1] pixel_corners not None,             # <<<<<<<<<<<<<<
 *              float pixel1, float pixel2, shape_out=None):
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 *         return out[:img_shape[0], :img_shape[1]]
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                #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
                    (PyUnicode_GET_SIZE(**name) != PyUnicode_GET_SIZE(key)) ? 1 :
                #endif
                    PyUnicode_Compare(**name, key);
                if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
                if (cmp == 0) {
                    values[name-argnames] = value;
                    break;
                }
                name++;
            }
            if (*name) continue;
            else {
                PyObject*** argname = argnames;
                while (argname != first_kw_arg) {
                    int cmp = (**argname == key) ? 0 :
                    #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
                        (PyUnicode_GET_SIZE(**argname) != PyUnicode_GET_SIZE(key)) ? 1 :
                    #endif
                        PyUnicode_Compare(**argname, key);
                    if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
                    if (cmp == 0) goto arg_passed_twice;
                    argname++;
                }
            }
        } else
            goto invalid_keyword_type;
        if (kwds2) {
            if (unlikely(PyDict_SetItem(kwds2, key, value))) goto bad;
        } else {
            goto invalid_keyword;
        }
    }
    return 0;
arg_passed_twice:
    __Pyx_RaiseDoubleKeywordsError(function_name, key);
    goto bad;
invalid_keyword_type:
    PyErr_Format(PyExc_TypeError,
        "%.200s() keywords must be strings", function_name);
    goto bad;
invalid_keyword:
    PyErr_Format(PyExc_TypeError,
    #if PY_MAJOR_VERSION < 3
        "%.200s() got an unexpected keyword argument '%.200s'",
        function_name, PyString_AsString(key));
    #else
        "%s() got an unexpected keyword argument '%U'",
        function_name, key);
    #endif
bad:
    return -1;
}

/* PyObjectSetAttrStr */
#if CYTHON_USE_TYPE_SLOTS
static CYTHON_INLINE int __Pyx_PyObject_SetAttrStr(PyObject* obj, PyObject* attr_name, PyObject* value) {
    PyTypeObject* tp = Py_TYPE(obj);
    if (likely(tp->tp_setattro))
        return tp->tp_setattro(obj, attr_name, value);
#if PY_MAJOR_VERSION < 3
    if (likely(tp->tp_setattr))
        return tp->tp_setattr(obj, PyString_AS_STRING(attr_name), value);
#endif
    return PyObject_SetAttr(obj, attr_name, value);
}
#endif

/* PyObjectCall */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw) {
    PyObject *result;
    ternaryfunc call = func->ob_type->tp_call;
    if (unlikely(!call))
        return PyObject_Call(func, arg, kw);
    if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object")))
        return NULL;
    result = (*call)(func, arg, kw);
    Py_LeaveRecursiveCall();
    if (unlikely(!result) && unlikely(!PyErr_Occurred())) {
        PyErr_SetString(
            PyExc_SystemError,
            "NULL result without error in PyObject_Call");
    }
    return result;
}
#endif

/* Import */
static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level) {
    PyObject *empty_list = 0;
    PyObject *module = 0;
    PyObject *global_dict = 0;
    PyObject *empty_dict = 0;
    PyObject *list;
    #if PY_MAJOR_VERSION < 3
    PyObject *py_import;
    py_import = __Pyx_PyObject_GetAttrStr(__pyx_b, __pyx_n_s_import);
    if (!py_import)
        goto bad;
    #endif
    if (from_list)
        list = from_list;
    else {
        empty_list = PyList_New(0);
        if (!empty_list)
            goto bad;
        list = empty_list;
    }
    global_dict = PyModule_GetDict(__pyx_m);
    if (!global_dict)
        goto bad;
    empty_dict = PyDict_New();
    if (!empty_dict)
        goto bad;
    {
        #if PY_MAJOR_VERSION >= 3
        if (level == -1) {
            if (strchr(__Pyx_MODULE_NAME, '.')) {
                module = PyImport_ImportModuleLevelObject(
                    name, global_dict, empty_dict, list, 1);
                if (!module) {
                    if (!PyErr_ExceptionMatches(PyExc_ImportError))
                        goto bad;
                    PyErr_Clear();
                }
            }
            level = 0;
        }
        #endif
        if (!module) {
            #if PY_MAJOR_VERSION < 3
            PyObject *py_level = PyInt_FromLong(level);
            if (!py_level)
                goto bad;
            module = PyObject_CallFunctionObjArgs(py_import,
                name, global_dict, empty_dict, list, py_level, (PyObject *)NULL);
            Py_DECREF(py_level);
            #else
            module = PyImport_ImportModuleLevelObject(
                name, global_dict, empty_dict, list, level);
            #endif
        }
    }
bad:
    #if PY_MAJOR_VERSION < 3
    Py_XDECREF(py_import);
    #endif
    Py_XDECREF(empty_list);
    Py_XDECREF(empty_dict);
    return module;
}

/* ImportFrom */
static PyObject* __Pyx_ImportFrom(PyObject* module, PyObject* name) {
    PyObject* value = __Pyx_PyObject_GetAttrStr(module, name);
    if (unlikely(!value) && PyErr_ExceptionMatches(PyExc_AttributeError)) {
        PyErr_Format(PyExc_ImportError,
        #if PY_MAJOR_VERSION < 3
            "cannot import name %.230s", PyString_AS_STRING(name));
        #else
            "cannot import name %S", name);
        #endif
    }
    return value;
}

/* PyCFunctionFastCall */
#if CYTHON_FAST_PYCCALL
static CYTHON_INLINE PyObject * __Pyx_PyCFunction_FastCall(PyObject *func_obj, PyObject **args, Py_ssize_t nargs) {
    PyCFunctionObject *func = (PyCFunctionObject*)func_obj;
    PyCFunction meth = PyCFunction_GET_FUNCTION(func);
    PyObject *self = PyCFunction_GET_SELF(func);
    int flags = PyCFunction_GET_FLAGS(func);
    assert(PyCFunction_Check(func));
    assert(METH_FASTCALL == (flags & ~(METH_CLASS | METH_STATIC | METH_COEXIST | METH_KEYWORDS | METH_STACKLESS)));
    assert(nargs >= 0);
    assert(nargs == 0 || args != NULL);
    /* _PyCFunction_FastCallDict() must not be called with an exception set,
       because it may clear it (directly or indirectly) and so the
       caller loses its exception */
    assert(!PyErr_Occurred());
    if ((PY_VERSION_HEX < 0x030700A0) || unlikely(flags & METH_KEYWORDS)) {
        return (*((__Pyx_PyCFunctionFastWithKeywords)(void*)meth)) (self, args, nargs, NULL);
    } else {
        return (*((__Pyx_PyCFunctionFast)(void*)meth)) (self, args, nargs);
    }
}
#endif

/* PyFunctionFastCall */
#if CYTHON_FAST_PYCALL
static PyObject* __Pyx_PyFunction_FastCallNoKw(PyCodeObject *co, PyObject **args, Py_ssize_t na,
                                               PyObject *globals) {
    PyFrameObject *f;
    PyThreadState *tstate = __Pyx_PyThreadState_Current;
    PyObject **fastlocals;
    Py_ssize_t i;
    PyObject *result;
    assert(globals != NULL);
    /* XXX Perhaps we should create a specialized
       PyFrame_New() that doesn't take locals, but does
       take builtins without sanity checking them.
       */
    assert(tstate != NULL);
    f = PyFrame_New(tstate, co, globals, NULL);
    if (f == NULL) {
        return NULL;
    }
    fastlocals = __Pyx_PyFrame_GetLocalsplus(f);
    for (i = 0; i < na; i++) {
        Py_INCREF(*args);
        fastlocals[i] = *args++;
    }
    result = PyEval_EvalFrameEx(f,0);
    ++tstate->recursion_depth;
    Py_DECREF(f);
    --tstate->recursion_depth;
    return result;
}
#if 1 || PY_VERSION_HEX < 0x030600B1
static PyObject *__Pyx_PyFunction_FastCallDict(PyObject *func, PyObject **args, Py_ssize_t nargs, PyObject *kwargs) {
    PyCodeObject *co = (PyCodeObject *)PyFunction_GET_CODE(func);
    PyObject *globals = PyFunction_GET_GLOBALS(func);
    PyObject *argdefs = PyFunction_GET_DEFAULTS(func);
    PyObject *closure;
#if PY_MAJOR_VERSION >= 3
    PyObject *kwdefs;
#endif
    PyObject *kwtuple, **k;
    PyObject **d;
    Py_ssize_t nd;
    Py_ssize_t nk;
    PyObject *result;
    assert(kwargs == NULL || PyDict_Check(kwargs));
    nk = kwargs ? PyDict_Size(kwargs) : 0;
    if (Py_EnterRecursiveCall((char*)" while calling a Python object")) {
        return NULL;
    }
    if (
#if PY_MAJOR_VERSION >= 3
            co->co_kwonlyargcount == 0 &&
#endif
            likely(kwargs == NULL || nk == 0) &&
            co->co_flags == (CO_OPTIMIZED | CO_NEWLOCALS | CO_NOFREE)) {
        if (argdefs == NULL && co->co_argcount == nargs) {
            result = __Pyx_PyFunction_FastCallNoKw(co, args, nargs, globals);
            goto done;
        }
        else if (nargs == 0 && argdefs != NULL
                 && co->co_argcount == Py_SIZE(argdefs)) {
            /* function called with no arguments, but all parameters have
               a default value: use default values as arguments .*/
            args = &PyTuple_GET_ITEM(argdefs, 0);
            result =__Pyx_PyFunction_FastCallNoKw(co, args, Py_SIZE(argdefs), globals);
            goto done;
        }
    }
    if (kwargs != NULL) {
        Py_ssize_t pos, i;
        kwtuple = PyTuple_New(2 * nk);
        if (kwtuple == NULL) {
            result = NULL;
            goto done;
        }
        k = &PyTuple_GET_ITEM(kwtuple, 0);
        pos = i = 0;
        while (PyDict_Next(kwargs, &pos, &k[i], &k[i+1])) {
            Py_INCREF(k[i]);
            Py_INCREF(k[i+1]);
            i += 2;
        }
        nk = i / 2;
    }
    else {
        kwtuple = NULL;
        k = NULL;
    }
    closure = PyFunction_GET_CLOSURE(func);
#if PY_MAJOR_VERSION >= 3
    kwdefs = PyFunction_GET_KW_DEFAULTS(func);
#endif
    if (argdefs != NULL) {
        d = &PyTuple_GET_ITEM(argdefs, 0);
        nd = Py_SIZE(argdefs);
    }
    else {
        d = NULL;
        nd = 0;
    }
#if PY_MAJOR_VERSION >= 3
    result = PyEval_EvalCodeEx((PyObject*)co, globals, (PyObject *)NULL,
                               args, (int)nargs,
                               k, (int)nk,
                               d, (int)nd, kwdefs, closure);
#else
    result = PyEval_EvalCodeEx(co, globals, (PyObject *)NULL,
                               args, (int)nargs,
                               k, (int)nk,
                               d, (int)nd, closure);
#endif
    Py_XDECREF(kwtuple);
done:
    Py_LeaveRecursiveCall();
    return result;
}
#endif
#endif

/* PyObjectCall2Args */
static CYTHON_UNUSED PyObject* __Pyx_PyObject_Call2Args(PyObject* function, PyObject* arg1, PyObject* arg2) {
    PyObject *args, *result = NULL;
    #if CYTHON_FAST_PYCALL
    if (PyFunction_Check(function)) {
        PyObject *args[2] = {arg1, arg2};
        return __Pyx_PyFunction_FastCall(function, args, 2);
    }
    #endif
    #if CYTHON_FAST_PYCCALL
    if (__Pyx_PyFastCFunction_Check(function)) {
        PyObject *args[2] = {arg1, arg2};
        return __Pyx_PyCFunction_FastCall(function, args, 2);
    }
    #endif
    args = PyTuple_New(2);
    if (unlikely(!args)) goto done;
    Py_INCREF(arg1);
    PyTuple_SET_ITEM(args, 0, arg1);
    Py_INCREF(arg2);
    PyTuple_SET_ITEM(args, 1, arg2);
    Py_INCREF(function);
    result = __Pyx_PyObject_Call(function, args, NULL);
    Py_DECREF(args);
    Py_DECREF(function);
done:
    return result;
}

/* PyObjectCallMethO */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg) {
    PyObject *self, *result;
    PyCFunction cfunc;
    cfunc = PyCFunction_GET_FUNCTION(func);
    self = PyCFunction_GET_SELF(func);
    if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object")))
        return NULL;
    result = cfunc(self, arg);
    Py_LeaveRecursiveCall();
    if (unlikely(!result) && unlikely(!PyErr_Occurred())) {
        PyErr_SetString(
            PyExc_SystemError,
            "NULL result without error in PyObject_Call");
    }
    return result;
}
#endif

/* PyObjectCallOneArg */
#if CYTHON_COMPILING_IN_CPYTHON
static PyObject* __Pyx__PyObject_CallOneArg(PyObject *func, PyObject *arg) {
    PyObject *result;
    PyObject *args = PyTuple_New(1);
    if (unlikely(!args)) return NULL;
    Py_INCREF(arg);
    PyTuple_SET_ITEM(args, 0, arg);
    result = __Pyx_PyObject_Call(func, args, NULL);
    Py_DECREF(args);
    return result;
}
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) {
#if CYTHON_FAST_PYCALL
    if (PyFunction_Check(func)) {
        return __Pyx_PyFunction_FastCall(func, &arg, 1);
    }
#endif
    if (likely(PyCFunction_Check(func))) {
        if (likely(PyCFunction_GET_FLAGS(func) & METH_O)) {
            return __Pyx_PyObject_CallMethO(func, arg);
#if CYTHON_FAST_PYCCALL
        } else if (PyCFunction_GET_FLAGS(func) & METH_FASTCALL) {
            return __Pyx_PyCFunction_FastCall(func, &arg, 1);
#endif
        }
    }
    return __Pyx__PyObject_CallOneArg(func, arg);
}
#else
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) {
    PyObject *result;
    PyObject *args = PyTuple_Pack(1, arg);
    if (unlikely(!args)) return NULL;
    result = __Pyx_PyObject_Call(func, args, NULL);
    Py_DECREF(args);
    return result;
}
#endif

/* MemviewSliceInit */
static int
__Pyx_init_memviewslice(struct __pyx_memoryview_obj *memview,
                        int ndim,
                        __Pyx_memviewslice *memviewslice,
                        int memview_is_new_reference)
{
    __Pyx_RefNannyDeclarations
    int i, retval=-1;
    Py_buffer *buf = &memview->view;
    __Pyx_RefNannySetupContext("init_memviewslice", 0);
    if (memviewslice->memview || memviewslice->data) {
        PyErr_SetString(PyExc_ValueError,
            "memviewslice is already initialized!");
        goto fail;
    }
    if (buf->strides) {
        for (i = 0; i < ndim; i++) {
            memviewslice->strides[i] = buf->strides[i];
        }
    } else {
        Py_ssize_t stride = buf->itemsize;
        for (i = ndim - 1; i >= 0; i--) {
            memviewslice->strides[i] = stride;
            stride *= buf->shape[i];
        }
    }
    for (i = 0; i < ndim; i++) {
        memviewslice->shape[i]   = buf->shape[i];
        if (buf->suboffsets) {
            memviewslice->suboffsets[i] = buf->suboffsets[i];
        } else {
            memviewslice->suboffsets[i] = -1;
        }
    }
    memviewslice->memview = memview;
    memviewslice->data = (char *)buf->buf;
    if (__pyx_add_acquisition_count(memview) == 0 && !memview_is_new_reference) {
        Py_INCREF(memview);
    }
    retval = 0;
    goto no_fail;
fail:
    memviewslice->memview = 0;
    memviewslice->data = 0;
    retval = -1;
no_fail:
    __Pyx_RefNannyFinishContext();
    return retval;
}
#ifndef Py_NO_RETURN
#define Py_NO_RETURN
#endif
static void __pyx_fatalerror(const char *fmt, ...) Py_NO_RETURN {
    va_list vargs;
    char msg[200];
#ifdef HAVE_STDARG_PROTOTYPES
    va_start(vargs, fmt);
#else
    va_start(vargs);
#endif
    vsnprintf(msg, 200, fmt, vargs);
    va_end(vargs);
    Py_FatalError(msg);
}
static CYTHON_INLINE int
__pyx_add_acquisition_count_locked(__pyx_atomic_int *acquisition_count,
                                   PyThread_type_lock lock)
{
    int result;
    PyThread_acquire_lock(lock, 1);
    result = (*acquisition_count)++;
    PyThread_release_lock(lock);
    return result;
}
static CYTHON_INLINE int
__pyx_sub_acquisition_count_locked(__pyx_atomic_int *acquisition_count,
                                   PyThread_type_lock lock)
{
    int result;
    PyThread_acquire_lock(lock, 1);
    result = (*acquisition_count)--;
    PyThread_release_lock(lock);
    return result;
}
static CYTHON_INLINE void
__Pyx_INC_MEMVIEW(__Pyx_memviewslice *memslice, int have_gil, int lineno)
{
    int first_time;
    struct __pyx_memoryview_obj *memview = memslice->memview;
    if (!memview || (PyObject *) memview == Py_None)
        return;
    if (__pyx_get_slice_count(memview) < 0)
        __pyx_fatalerror("Acquisition count is %d (line %d)",
                         __pyx_get_slice_count(memview), lineno);
    first_time = __pyx_add_acquisition_count(memview) == 0;
    if (first_time) {
        if (have_gil) {
            Py_INCREF((PyObject *) memview);
        } else {
            PyGILState_STATE _gilstate = PyGILState_Ensure();
            Py_INCREF((PyObject *) memview);
            PyGILState_Release(_gilstate);
        }
    }
}
static CYTHON_INLINE void __Pyx_XDEC_MEMVIEW(__Pyx_memviewslice *memslice,
                                             int have_gil, int lineno) {
    int last_time;
    struct __pyx_memoryview_obj *memview = memslice->memview;
    if (!memview ) {
        return;
    } else if ((PyObject *) memview == Py_None) {
        memslice->memview = NULL;
        return;
    }
    if (__pyx_get_slice_count(memview) <= 0)
        __pyx_fatalerror("Acquisition count is %d (line %d)",
                         __pyx_get_slice_count(memview), lineno);
    last_time = __pyx_sub_acquisition_count(memview) == 1;
    memslice->data = NULL;
    if (last_time) {
        if (have_gil) {
            Py_CLEAR(memslice->memview);
        } else {
            PyGILState_STATE _gilstate = PyGILState_Ensure();
            Py_CLEAR(memslice->memview);
            PyGILState_Release(_gilstate);
        }
    } else {
        memslice->memview = NULL;
    }
}

/* PyDictVersioning */
#if CYTHON_USE_DICT_VERSIONS && CYTHON_USE_TYPE_SLOTS
static CYTHON_INLINE PY_UINT64_T __Pyx_get_tp_dict_version(PyObject *obj) {
    PyObject *dict = Py_TYPE(obj)->tp_dict;
    return likely(dict) ? __PYX_GET_DICT_VERSION(dict) : 0;
}
static CYTHON_INLINE PY_UINT64_T __Pyx_get_object_dict_version(PyObject *obj) {
    PyObject **dictptr = NULL;
    Py_ssize_t offset = Py_TYPE(obj)->tp_dictoffset;
    if (offset) {
#if CYTHON_COMPILING_IN_CPYTHON
        dictptr = (likely(offset > 0)) ? (PyObject **) ((char *)obj + offset) : _PyObject_GetDictPtr(obj);
#else
        dictptr = _PyObject_GetDictPtr(obj);
#endif
    }
    return (dictptr && *dictptr) ? __PYX_GET_DICT_VERSION(*dictptr) : 0;
}
static CYTHON_INLINE int __Pyx_object_dict_version_matches(PyObject* obj, PY_UINT64_T tp_dict_version, PY_UINT64_T obj_dict_version) {
    PyObject *dict = Py_TYPE(obj)->tp_dict;
    if (unlikely(!dict) || unlikely(tp_dict_version != __PYX_GET_DICT_VERSION(dict)))
        return 0;
    return obj_dict_version == __Pyx_get_object_dict_version(obj);
}
#endif

/* GetModuleGlobalName */
#if CYTHON_USE_DICT_VERSIONS
static PyObject *__Pyx__GetModuleGlobalName(PyObject *name, PY_UINT64_T *dict_version, PyObject **dict_cached_value)
#else
static CYTHON_INLINE PyObject *__Pyx__GetModuleGlobalName(PyObject *name)
#endif
{
    PyObject *result;
#if !CYTHON_AVOID_BORROWED_REFS
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030500A1
    result = _PyDict_GetItem_KnownHash(__pyx_d, name, ((PyASCIIObject *) name)->hash);
    __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
    if (likely(result)) {
        return __Pyx_NewRef(result);
    } else if (unlikely(PyErr_Occurred())) {
        return NULL;
    }
#else
    result = PyDict_GetItem(__pyx_d, name);
    __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
    if (likely(result)) {
        return __Pyx_NewRef(result);
    }
#endif
#else
    result = PyObject_GetItem(__pyx_d, name);
    __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
    if (likely(result)) {
        return __Pyx_NewRef(result);
    }
    PyErr_Clear();
#endif
    return __Pyx_GetBuiltinName(name);
}

/* pyobject_as_double */
static double __Pyx__PyObject_AsDouble(PyObject* obj) {
    PyObject* float_value;
#if !CYTHON_USE_TYPE_SLOTS
    float_value = PyNumber_Float(obj);  if ((0)) goto bad;
#else
    PyNumberMethods *nb = Py_TYPE(obj)->tp_as_number;
    if (likely(nb) && likely(nb->nb_float)) {
        float_value = nb->nb_float(obj);
        if (likely(float_value) && unlikely(!PyFloat_Check(float_value))) {
            PyErr_Format(PyExc_TypeError,
                "__float__ returned non-float (type %.200s)",
                Py_TYPE(float_value)->tp_name);
            Py_DECREF(float_value);
            goto bad;
        }
    } else if (PyUnicode_CheckExact(obj) || PyBytes_CheckExact(obj)) {
#if PY_MAJOR_VERSION >= 3
        float_value = PyFloat_FromString(obj);
#else
        float_value = PyFloat_FromString(obj, 0);
#endif
    } else {
        PyObject* args = PyTuple_New(1);
        if (unlikely(!args)) goto bad;
        PyTuple_SET_ITEM(args, 0, obj);
        float_value = PyObject_Call((PyObject*)&PyFloat_Type, args, 0);
        PyTuple_SET_ITEM(args, 0, 0);
        Py_DECREF(args);
    }
#endif
    if (likely(float_value)) {
        double value = PyFloat_AS_DOUBLE(float_value);
        Py_DECREF(float_value);
        return value;
    }
bad:
    return (double)-1;
}

/* PyObjectCallNoArg */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallNoArg(PyObject *func) {
#if CYTHON_FAST_PYCALL
    if (PyFunction_Check(func)) {
        return __Pyx_PyFunction_FastCall(func, NULL, 0);
    }
#endif
#ifdef __Pyx_CyFunction_USED
    if (likely(PyCFunction_Check(func) || __Pyx_CyFunction_Check(func)))
#else
    if (likely(PyCFunction_Check(func)))
#endif
    {
        if (likely(PyCFunction_GET_FLAGS(func) & METH_NOARGS)) {
            return __Pyx_PyObject_CallMethO(func, NULL);
        }
    }
    return __Pyx_PyObject_Call(func, __pyx_empty_tuple, NULL);
}
#endif

/* None */
static CYTHON_INLINE void __Pyx_RaiseUnboundLocalError(const char *varname) {
    PyErr_Format(PyExc_UnboundLocalError, "local variable '%s' referenced before assignment", varname);
}

/* None */
static void __Pyx_RaiseUnboundMemoryviewSliceNogil(const char *varname) {
    #ifdef WITH_THREAD
    PyGILState_STATE gilstate = PyGILState_Ensure();
    #endif
    __Pyx_RaiseUnboundLocalError(varname);
    #ifdef WITH_THREAD
    PyGILState_Release(gilstate);
    #endif
}

/* PyErrFetchRestore */
#if CYTHON_FAST_THREAD_STATE
static CYTHON_INLINE void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    tmp_type = tstate->curexc_type;
    tmp_value = tstate->curexc_value;
    tmp_tb = tstate->curexc_traceback;
    tstate->curexc_type = type;
    tstate->curexc_value = value;
    tstate->curexc_traceback = tb;
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
}
static CYTHON_INLINE void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
    *type = tstate->curexc_type;
    *value = tstate->curexc_value;
    *tb = tstate->curexc_traceback;
    tstate->curexc_type = 0;
    tstate->curexc_value = 0;
    tstate->curexc_traceback = 0;
}
#endif

/* DictGetItem */
#if PY_MAJOR_VERSION >= 3 && !CYTHON_COMPILING_IN_PYPY
static PyObject *__Pyx_PyDict_GetItem(PyObject *d, PyObject* key) {
    PyObject *value;
    value = PyDict_GetItemWithError(d, key);
    if (unlikely(!value)) {
        if (!PyErr_Occurred()) {
            if (unlikely(PyTuple_Check(key))) {
                PyObject* args = PyTuple_Pack(1, key);
                if (likely(args)) {
                    PyErr_SetObject(PyExc_KeyError, args);
                    Py_DECREF(args);
                }
            } else {
                PyErr_SetObject(PyExc_KeyError, key);
            }
        }
        return NULL;
    }
    Py_INCREF(value);
    return value;
}
#endif

/* RaiseException */
#if PY_MAJOR_VERSION < 3
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb,
                        CYTHON_UNUSED PyObject *cause) {
    __Pyx_PyThreadState_declare
    Py_XINCREF(type);
    if (!value || value == Py_None)
        value = NULL;
    else
        Py_INCREF(value);
    if (!tb || tb == Py_None)
        tb = NULL;
    else {
        Py_INCREF(tb);
        if (!PyTraceBack_Check(tb)) {
            PyErr_SetString(PyExc_TypeError,
                "raise: arg 3 must be a traceback or None");
            goto raise_error;
        }
    }
    if (PyType_Check(type)) {
#if CYTHON_COMPILING_IN_PYPY
        if (!value) {
            Py_INCREF(Py_None);
            value = Py_None;
        }
#endif
        PyErr_NormalizeException(&type, &value, &tb);
    } else {
        if (value) {
            PyErr_SetString(PyExc_TypeError,
                "instance exception may not have a separate value");
            goto raise_error;
        }
        value = type;
        type = (PyObject*) Py_TYPE(type);
        Py_INCREF(type);
        if (!PyType_IsSubtype((PyTypeObject *)type, (PyTypeObject *)PyExc_BaseException)) {
            PyErr_SetString(PyExc_TypeError,
                "raise: exception class must be a subclass of BaseException");
            goto raise_error;
        }
    }
    __Pyx_PyThreadState_assign
    __Pyx_ErrRestore(type, value, tb);
    return;
raise_error:
    Py_XDECREF(value);
    Py_XDECREF(type);
    Py_XDECREF(tb);
    return;
}
#else
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause) {
    PyObject* owned_instance = NULL;
    if (tb == Py_None) {
        tb = 0;
    } else if (tb && !PyTraceBack_Check(tb)) {
        PyErr_SetString(PyExc_TypeError,
            "raise: arg 3 must be a traceback or None");
        goto bad;
    }
    if (value == Py_None)
        value = 0;
    if (PyExceptionInstance_Check(type)) {
        if (value) {
            PyErr_SetString(PyExc_TypeError,
                "instance exception may not have a separate value");
            goto bad;
        }
        value = type;
        type = (PyObject*) Py_TYPE(value);
    } else if (PyExceptionClass_Check(type)) {
        PyObject *instance_class = NULL;
        if (value && PyExceptionInstance_Check(value)) {
            instance_class = (PyObject*) Py_TYPE(value);
            if (instance_class != type) {
                int is_subclass = PyObject_IsSubclass(instance_class, type);
                if (!is_subclass) {
                    instance_class = NULL;
                } else if (unlikely(is_subclass == -1)) {
                    goto bad;
                } else {
                    type = instance_class;
                }
            }
        }
        if (!instance_class) {
            PyObject *args;
            if (!value)
                args = PyTuple_New(0);
            else if (PyTuple_Check(value)) {
                Py_INCREF(value);
                args = value;
            } else
                args = PyTuple_Pack(1, value);
            if (!args)
                goto bad;
            owned_instance = PyObject_Call(type, args, NULL);
            Py_DECREF(args);
            if (!owned_instance)
                goto bad;
            value = owned_instance;
            if (!PyExceptionInstance_Check(value)) {
                PyErr_Format(PyExc_TypeError,
                             "calling %R should have returned an instance of "
                             "BaseException, not %R",
                             type, Py_TYPE(value));
                goto bad;
            }
        }
    } else {
        PyErr_SetString(PyExc_TypeError,
            "raise: exception class must be a subclass of BaseException");
        goto bad;
    }
    if (cause) {
        PyObject *fixed_cause;
        if (cause == Py_None) {
            fixed_cause = NULL;
        } else if (PyExceptionClass_Check(cause)) {
            fixed_cause = PyObject_CallObject(cause, NULL);
            if (fixed_cause == NULL)
                goto bad;
        } else if (PyExceptionInstance_Check(cause)) {
            fixed_cause = cause;
            Py_INCREF(fixed_cause);
        } else {
            PyErr_SetString(PyExc_TypeError,
                            "exception causes must derive from "
                            "BaseException");
            goto bad;
        }
        PyException_SetCause(value, fixed_cause);
    }
    PyErr_SetObject(type, value);
    if (tb) {
#if CYTHON_COMPILING_IN_PYPY
        PyObject *tmp_type, *tmp_value, *tmp_tb;
        PyErr_Fetch(&tmp_type, &tmp_value, &tmp_tb);
        Py_INCREF(tb);
        PyErr_Restore(tmp_type, tmp_value, tb);
        Py_XDECREF(tmp_tb);
#else
        PyThreadState *tstate = __Pyx_PyThreadState_Current;
        PyObject* tmp_tb = tstate->curexc_traceback;
        if (tb != tmp_tb) {
            Py_INCREF(tb);
            tstate->curexc_traceback = tb;
            Py_XDECREF(tmp_tb);
        }
#endif
    }
bad:
    Py_XDECREF(owned_instance);
    return;
}
#endif

/* UnicodeAsUCS4 */
static CYTHON_INLINE Py_UCS4 __Pyx_PyUnicode_AsPy_UCS4(PyObject* x) {
   Py_ssize_t length;
   #if CYTHON_PEP393_ENABLED
   length = PyUnicode_GET_LENGTH(x);
   if (likely(length == 1)) {
       return PyUnicode_READ_CHAR(x, 0);
   }
   #else
   length = PyUnicode_GET_SIZE(x);
   if (likely(length == 1)) {
       return PyUnicode_AS_UNICODE(x)[0];
   }
   #if Py_UNICODE_SIZE == 2
   else if (PyUnicode_GET_SIZE(x) == 2) {
       Py_UCS4 high_val = PyUnicode_AS_UNICODE(x)[0];
       if (high_val >= 0xD800 && high_val <= 0xDBFF) {
           Py_UCS4 low_val = PyUnicode_AS_UNICODE(x)[1];
           if (low_val >= 0xDC00 && low_val <= 0xDFFF) {
               return 0x10000 + (((high_val & ((1<<10)-1)) << 10) | (low_val & ((1<<10)-1)));
           }
       }
   }
   #endif
   #endif
   PyErr_Format(PyExc_ValueError,
                "only single character unicode strings can be converted to Py_UCS4, "
                "got length %" CYTHON_FORMAT_SSIZE_T "d", length);
   return (Py_UCS4)-1;
}

/* object_ord */
static long __Pyx__PyObject_Ord(PyObject* c) {
    Py_ssize_t size;
    if (PyBytes_Check(c)) {
        size = PyBytes_GET_SIZE(c);
        if (likely(size == 1)) {
            return (unsigned char) PyBytes_AS_STRING(c)[0];
        }
#if PY_MAJOR_VERSION < 3
    } else if (PyUnicode_Check(c)) {
        return (long)__Pyx_PyUnicode_AsPy_UCS4(c);
#endif
#if (!CYTHON_COMPILING_IN_PYPY) || (defined(PyByteArray_AS_STRING) && defined(PyByteArray_GET_SIZE))
    } else if (PyByteArray_Check(c)) {
        size = PyByteArray_GET_SIZE(c);
        if (likely(size == 1)) {
            return (unsigned char) PyByteArray_AS_STRING(c)[0];
        }
#endif
    } else {
        PyErr_Format(PyExc_TypeError,
            "ord() expected string of length 1, but %.200s found", c->ob_type->tp_name);
        return (long)(Py_UCS4)-1;
    }
    PyErr_Format(PyExc_TypeError,
        "ord() expected a character, but string of length %zd found", size);
    return (long)(Py_UCS4)-1;
}

/* SetItemInt */
static int __Pyx_SetItemInt_Generic(PyObject *o, PyObject *j, PyObject *v) {
    int r;
    if (!j) return -1;
    r = PyObject_SetItem(o, j, v);
    Py_DECREF(j);
    return r;
}
static CYTHON_INLINE int __Pyx_SetItemInt_Fast(PyObject *o, Py_ssize_t i, PyObject *v, int is_list,
                                               CYTHON_NCP_UNUSED int wraparound, CYTHON_NCP_UNUSED int boundscheck) {
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS && CYTHON_USE_TYPE_SLOTS
    if (is_list || PyList_CheckExact(o)) {
        Py_ssize_t n = (!wraparound) ? i : ((likely(i >= 0)) ? i : i + PyList_GET_SIZE(o));
        if ((!boundscheck) || likely(__Pyx_is_valid_index(n, PyList_GET_SIZE(o)))) {
            PyObject* old = PyList_GET_ITEM(o, n);
            Py_INCREF(v);
            PyList_SET_ITEM(o, n, v);
            Py_DECREF(old);
            return 1;
        }
    } else {
        PySequenceMethods *m = Py_TYPE(o)->tp_as_sequence;
        if (likely(m && m->sq_ass_item)) {
            if (wraparound && unlikely(i < 0) && likely(m->sq_length)) {
                Py_ssize_t l = m->sq_length(o);
                if (likely(l >= 0)) {
                    i += l;
                } else {
                    if (!PyErr_ExceptionMatches(PyExc_OverflowError))
                        return -1;
                    PyErr_Clear();
                }
            }
            return m->sq_ass_item(o, i, v);
        }
    }
#else
#if CYTHON_COMPILING_IN_PYPY
    if (is_list || (PySequence_Check(o) && !PyDict_Check(o)))
#else
    if (is_list || PySequence_Check(o))
#endif
    {
        return PySequence_SetItem(o, i, v);
    }
#endif
    return __Pyx_SetItemInt_Generic(o, PyInt_FromSsize_t(i), v);
}

/* IterFinish */
static CYTHON_INLINE int __Pyx_IterFinish(void) {
#if CYTHON_FAST_THREAD_STATE
    PyThreadState *tstate = __Pyx_PyThreadState_Current;
    PyObject* exc_type = tstate->curexc_type;
    if (unlikely(exc_type)) {
        if (likely(__Pyx_PyErr_GivenExceptionMatches(exc_type, PyExc_StopIteration))) {
            PyObject *exc_value, *exc_tb;
            exc_value = tstate->curexc_value;
            exc_tb = tstate->curexc_traceback;
            tstate->curexc_type = 0;
            tstate->curexc_value = 0;
            tstate->curexc_traceback = 0;
            Py_DECREF(exc_type);
            Py_XDECREF(exc_value);
            Py_XDECREF(exc_tb);
            return 0;
        } else {
            return -1;
        }
    }
    return 0;
#else
    if (unlikely(PyErr_Occurred())) {
        if (likely(PyErr_ExceptionMatches(PyExc_StopIteration))) {
            PyErr_Clear();
            return 0;
        } else {
            return -1;
        }
    }
    return 0;
#endif
}

/* PyObjectGetMethod */
static int __Pyx_PyObject_GetMethod(PyObject *obj, PyObject *name, PyObject **method) {
    PyObject *attr;
#if CYTHON_UNPACK_METHODS && CYTHON_COMPILING_IN_CPYTHON && CYTHON_USE_PYTYPE_LOOKUP
    PyTypeObject *tp = Py_TYPE(obj);
    PyObject *descr;
    descrgetfunc f = NULL;
    PyObject **dictptr, *dict;
    int meth_found = 0;
    assert (*method == NULL);
    if (unlikely(tp->tp_getattro != PyObject_GenericGetAttr)) {
        attr = __Pyx_PyObject_GetAttrStr(obj, name);
        goto try_unpack;
    }
    if (unlikely(tp->tp_dict == NULL) && unlikely(PyType_Ready(tp) < 0)) {
        return 0;
    }
    descr = _PyType_Lookup(tp, name);
    if (likely(descr != NULL)) {
        Py_INCREF(descr);
#if PY_MAJOR_VERSION >= 3
        #ifdef __Pyx_CyFunction_USED
        if (likely(PyFunction_Check(descr) || (Py_TYPE(descr) == &PyMethodDescr_Type) || __Pyx_CyFunction_Check(descr)))
        #else
        if (likely(PyFunction_Check(descr) || (Py_TYPE(descr) == &PyMethodDescr_Type)))
        #endif
#else
        #ifdef __Pyx_CyFunction_USED
        if (likely(PyFunction_Check(descr) || __Pyx_CyFunction_Check(descr)))
        #else
        if (likely(PyFunction_Check(descr)))
        #endif
#endif
        {
            meth_found = 1;
        } else {
            f = Py_TYPE(descr)->tp_descr_get;
            if (f != NULL && PyDescr_IsData(descr)) {
                attr = f(descr, obj, (PyObject *)Py_TYPE(obj));
                Py_DECREF(descr);
                goto try_unpack;
            }
        }
    }
    dictptr = _PyObject_GetDictPtr(obj);
    if (dictptr != NULL && (dict = *dictptr) != NULL) {
        Py_INCREF(dict);
        attr = __Pyx_PyDict_GetItemStr(dict, name);
        if (attr != NULL) {
            Py_INCREF(attr);
            Py_DECREF(dict);
            Py_XDECREF(descr);
            goto try_unpack;
        }
        Py_DECREF(dict);
    }
    if (meth_found) {
        *method = descr;
        return 1;
    }
    if (f != NULL) {
        attr = f(descr, obj, (PyObject *)Py_TYPE(obj));
        Py_DECREF(descr);
        goto try_unpack;
    }
    if (descr != NULL) {
        *method = descr;
        return 0;
    }
    PyErr_Format(PyExc_AttributeError,
#if PY_MAJOR_VERSION >= 3
                 "'%.50s' object has no attribute '%U'",
                 tp->tp_name, name);
#else
                 "'%.50s' object has no attribute '%.400s'",
                 tp->tp_name, PyString_AS_STRING(name));
#endif
    return 0;
#else
    attr = __Pyx_PyObject_GetAttrStr(obj, name);
    goto try_unpack;
#endif
try_unpack:
#if CYTHON_UNPACK_METHODS
    if (likely(attr) && PyMethod_Check(attr) && likely(PyMethod_GET_SELF(attr) == obj)) {
        PyObject *function = PyMethod_GET_FUNCTION(attr);
        Py_INCREF(function);
        Py_DECREF(attr);
        *method = function;
        return 1;
    }
#endif
    *method = attr;
    return 0;
}

/* PyObjectCallMethod0 */
static PyObject* __Pyx_PyObject_CallMethod0(PyObject* obj, PyObject* method_name) {
    PyObject *method = NULL, *result = NULL;
    int is_method = __Pyx_PyObject_GetMethod(obj, method_name, &method);
    if (likely(is_method)) {
        result = __Pyx_PyObject_CallOneArg(method, obj);
        Py_DECREF(method);
        return result;
    }
    if (unlikely(!method)) goto bad;
    result = __Pyx_PyObject_CallNoArg(method);
    Py_DECREF(method);
bad:
    return result;
}

/* RaiseNeedMoreValuesToUnpack */
static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index) {
    PyErr_Format(PyExc_ValueError,
                 "need more than %" CYTHON_FORMAT_SSIZE_T "d value%.1s to unpack",
                 index, (index == 1) ? "" : "s");
}

/* RaiseTooManyValuesToUnpack */
static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected) {
    PyErr_Format(PyExc_ValueError,
                 "too many values to unpack (expected %" CYTHON_FORMAT_SSIZE_T "d)", expected);
}

/* UnpackItemEndCheck */
static int __Pyx_IternextUnpackEndCheck(PyObject *retval, Py_ssize_t expected) {
    if (unlikely(retval)) {
        Py_DECREF(retval);
        __Pyx_RaiseTooManyValuesError(expected);
        return -1;
    } else {
        return __Pyx_IterFinish();
    }
    return 0;
}

/* RaiseNoneIterError */
static CYTHON_INLINE void __Pyx_RaiseNoneNotIterableError(void) {
    PyErr_SetString(PyExc_TypeError, "'NoneType' object is not iterable");
}

/* UnpackTupleError */
static void __Pyx_UnpackTupleError(PyObject *t, Py_ssize_t index) {
    if (t == Py_None) {
      __Pyx_RaiseNoneNotIterableError();
    } else if (PyTuple_GET_SIZE(t) < index) {
      __Pyx_RaiseNeedMoreValuesError(PyTuple_GET_SIZE(t));
    } else {
      __Pyx_RaiseTooManyValuesError(index);
    }
}

/* UnpackTuple2 */
static CYTHON_INLINE int __Pyx_unpack_tuple2_exact(
        PyObject* tuple, PyObject** pvalue1, PyObject** pvalue2, int decref_tuple) {
    PyObject *value1 = NULL, *value2 = NULL;
#if CYTHON_COMPILING_IN_PYPY
    value1 = PySequence_ITEM(tuple, 0);  if (unlikely(!value1)) goto bad;
    value2 = PySequence_ITEM(tuple, 1);  if (unlikely(!value2)) goto bad;
#else
    value1 = PyTuple_GET_ITEM(tuple, 0);  Py_INCREF(value1);
    value2 = PyTuple_GET_ITEM(tuple, 1);  Py_INCREF(value2);
#endif
    if (decref_tuple) {
        Py_DECREF(tuple);
    }
    *pvalue1 = value1;
    *pvalue2 = value2;
    return 0;
#if CYTHON_COMPILING_IN_PYPY
bad:
    Py_XDECREF(value1);
    Py_XDECREF(value2);
    if (decref_tuple) { Py_XDECREF(tuple); }
    return -1;
#endif
}
static int __Pyx_unpack_tuple2_generic(PyObject* tuple, PyObject** pvalue1, PyObject** pvalue2,
                                       int has_known_size, int decref_tuple) {
    Py_ssize_t index;
    PyObject *value1 = NULL, *value2 = NULL, *iter = NULL;
    iternextfunc iternext;
    iter = PyObject_GetIter(tuple);
    if (unlikely(!iter)) goto bad;
    if (decref_tuple) { Py_DECREF(tuple); tuple = NULL; }
    iternext = Py_TYPE(iter)->tp_iternext;
    value1 = iternext(iter); if (unlikely(!value1)) { index = 0; goto unpacking_failed; }
    value2 = iternext(iter); if (unlikely(!value2)) { index = 1; goto unpacking_failed; }
    if (!has_known_size && unlikely(__Pyx_IternextUnpackEndCheck(iternext(iter), 2))) goto bad;
    Py_DECREF(iter);
    *pvalue1 = value1;
    *pvalue2 = value2;
    return 0;
unpacking_failed:
    if (!has_known_size && __Pyx_IterFinish() == 0)
        __Pyx_RaiseNeedMoreValuesError(index);
bad:
    Py_XDECREF(iter);
    Py_XDECREF(value1);
    Py_XDECREF(value2);
    if (decref_tuple) { Py_XDECREF(tuple); }
    return -1;
}

/* dict_iter */
static CYTHON_INLINE PyObject* __Pyx_dict_iterator(PyObject* iterable, int is_dict, PyObject* method_name,
                                                   Py_ssize_t* p_orig_length, int* p_source_is_dict) {
    is_dict = is_dict || likely(PyDict_CheckExact(iterable));
    *p_source_is_dict = is_dict;
    if (is_dict) {
#if !CYTHON_COMPILING_IN_PYPY
        *p_orig_length = PyDict_Size(iterable);
        Py_INCREF(iterable);
        return iterable;
#elif PY_MAJOR_VERSION >= 3
        static PyObject *py_items = NULL, *py_keys = NULL, *py_values = NULL;
        PyObject **pp = NULL;
        if (method_name) {
            const char *name = PyUnicode_AsUTF8(method_name);
            if (strcmp(name, "iteritems") == 0) pp = &py_items;
            else if (strcmp(name, "iterkeys") == 0) pp = &py_keys;
            else if (strcmp(name, "itervalues") == 0) pp = &py_values;
            if (pp) {
                if (!*pp) {
                    *pp = PyUnicode_FromString(name + 4);
                    if (!*pp)
                        return NULL;
                }
                method_name = *pp;
            }
        }
#endif
    }
    *p_orig_length = 0;
    if (method_name) {
        PyObject* iter;
        iterable = __Pyx_PyObject_CallMethod0(iterable, method_name);
        if (!iterable)
            return NULL;
#if !CYTHON_COMPILING_IN_PYPY
        if (PyTuple_CheckExact(iterable) || PyList_CheckExact(iterable))
            return iterable;
#endif
        iter = PyObject_GetIter(iterable);
        Py_DECREF(iterable);
        return iter;
    }
    return PyObject_GetIter(iterable);
}
static CYTHON_INLINE int __Pyx_dict_iter_next(
        PyObject* iter_obj, CYTHON_NCP_UNUSED Py_ssize_t orig_length, CYTHON_NCP_UNUSED Py_ssize_t* ppos,
        PyObject** pkey, PyObject** pvalue, PyObject** pitem, int source_is_dict) {
    PyObject* next_item;
#if !CYTHON_COMPILING_IN_PYPY
    if (source_is_dict) {
        PyObject *key, *value;
        if (unlikely(orig_length != PyDict_Size(iter_obj))) {
            PyErr_SetString(PyExc_RuntimeError, "dictionary changed size during iteration");
            return -1;
        }
        if (unlikely(!PyDict_Next(iter_obj, ppos, &key, &value))) {
            return 0;
        }
        if (pitem) {
            PyObject* tuple = PyTuple_New(2);
            if (unlikely(!tuple)) {
                return -1;
            }
            Py_INCREF(key);
            Py_INCREF(value);
            PyTuple_SET_ITEM(tuple, 0, key);
            PyTuple_SET_ITEM(tuple, 1, value);
            *pitem = tuple;
        } else {
            if (pkey) {
                Py_INCREF(key);
                *pkey = key;
            }
            if (pvalue) {
                Py_INCREF(value);
                *pvalue = value;
            }
        }
        return 1;
    } else if (PyTuple_CheckExact(iter_obj)) {
        Py_ssize_t pos = *ppos;
        if (unlikely(pos >= PyTuple_GET_SIZE(iter_obj))) return 0;
        *ppos = pos + 1;
        next_item = PyTuple_GET_ITEM(iter_obj, pos);
        Py_INCREF(next_item);
    } else if (PyList_CheckExact(iter_obj)) {
        Py_ssize_t pos = *ppos;
        if (unlikely(pos >= PyList_GET_SIZE(iter_obj))) return 0;
        *ppos = pos + 1;
        next_item = PyList_GET_ITEM(iter_obj, pos);
        Py_INCREF(next_item);
    } else
#endif
    {
        next_item = PyIter_Next(iter_obj);
        if (unlikely(!next_item)) {
            return __Pyx_IterFinish();
        }
    }
    if (pitem) {
        *pitem = next_item;
    } else if (pkey && pvalue) {
        if (__Pyx_unpack_tuple2(next_item, pkey, pvalue, source_is_dict, source_is_dict, 1))
            return -1;
    } else if (pkey) {
        *pkey = next_item;
    } else {
        *pvalue = next_item;
    }
    return 1;
}

/* GetItemInt */
static PyObject *__Pyx_GetItemInt_Generic(PyObject *o, PyObject* j) {
    PyObject *r;
    if (!j) return NULL;
    r = PyObject_GetItem(o, j);
    Py_DECREF(j);
    return r;
}
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_List_Fast(PyObject *o, Py_ssize_t i,
                                                              CYTHON_NCP_UNUSED int wraparound,
                                                              CYTHON_NCP_UNUSED int boundscheck) {
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    Py_ssize_t wrapped_i = i;
    if (wraparound & unlikely(i < 0)) {
        wrapped_i += PyList_GET_SIZE(o);
    }
    if ((!boundscheck) || likely(__Pyx_is_valid_index(wrapped_i, PyList_GET_SIZE(o)))) {
        PyObject *r = PyList_GET_ITEM(o, wrapped_i);
        Py_INCREF(r);
        return r;
    }
    return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
#else
    return PySequence_GetItem(o, i);
#endif
}
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Tuple_Fast(PyObject *o, Py_ssize_t i,
                                                              CYTHON_NCP_UNUSED int wraparound,
                                                              CYTHON_NCP_UNUSED int boundscheck) {
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    Py_ssize_t wrapped_i = i;
    if (wraparound & unlikely(i < 0)) {
        wrapped_i += PyTuple_GET_SIZE(o);
    }
    if ((!boundscheck) || likely(__Pyx_is_valid_index(wrapped_i, PyTuple_GET_SIZE(o)))) {
        PyObject *r = PyTuple_GET_ITEM(o, wrapped_i);
        Py_INCREF(r);
        return r;
    }
    return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
#else
    return PySequence_GetItem(o, i);
#endif
}
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Fast(PyObject *o, Py_ssize_t i, int is_list,
                                                     CYTHON_NCP_UNUSED int wraparound,
                                                     CYTHON_NCP_UNUSED int boundscheck) {
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS && CYTHON_USE_TYPE_SLOTS
    if (is_list || PyList_CheckExact(o)) {
        Py_ssize_t n = ((!wraparound) | likely(i >= 0)) ? i : i + PyList_GET_SIZE(o);
        if ((!boundscheck) || (likely(__Pyx_is_valid_index(n, PyList_GET_SIZE(o))))) {
            PyObject *r = PyList_GET_ITEM(o, n);
            Py_INCREF(r);
            return r;
        }
    }
    else if (PyTuple_CheckExact(o)) {
        Py_ssize_t n = ((!wraparound) | likely(i >= 0)) ? i : i + PyTuple_GET_SIZE(o);
        if ((!boundscheck) || likely(__Pyx_is_valid_index(n, PyTuple_GET_SIZE(o)))) {
            PyObject *r = PyTuple_GET_ITEM(o, n);
            Py_INCREF(r);
            return r;
        }
    } else {
        PySequenceMethods *m = Py_TYPE(o)->tp_as_sequence;
        if (likely(m && m->sq_item)) {
            if (wraparound && unlikely(i < 0) && likely(m->sq_length)) {
                Py_ssize_t l = m->sq_length(o);
                if (likely(l >= 0)) {
                    i += l;
                } else {
                    if (!PyErr_ExceptionMatches(PyExc_OverflowError))
                        return NULL;
                    PyErr_Clear();
                }
            }
            return m->sq_item(o, i);
        }
    }
#else
    if (is_list || PySequence_Check(o)) {
        return PySequence_GetItem(o, i);
    }
#endif
    return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
}

/* PyIntFromDouble */
#if PY_MAJOR_VERSION < 3
static CYTHON_INLINE PyObject* __Pyx_PyInt_FromDouble(double value) {
    if (value >= (double)LONG_MIN && value <= (double)LONG_MAX) {
        return PyInt_FromLong((long)value);
    }
    return PyLong_FromDouble(value);
}
#endif

/* CIntToDigits */
static const char DIGIT_PAIRS_10[2*10*10+1] = {
    "00010203040506070809"
    "10111213141516171819"
    "20212223242526272829"
    "30313233343536373839"
    "40414243444546474849"
    "50515253545556575859"
    "60616263646566676869"
    "70717273747576777879"
    "80818283848586878889"
    "90919293949596979899"
};
static const char DIGIT_PAIRS_8[2*8*8+1] = {
    "0001020304050607"
    "1011121314151617"
    "2021222324252627"
    "3031323334353637"
    "4041424344454647"
    "5051525354555657"
    "6061626364656667"
    "7071727374757677"
};
static const char DIGITS_HEX[2*16+1] = {
    "0123456789abcdef"
    "0123456789ABCDEF"
};

/* BuildPyUnicode */
static PyObject* __Pyx_PyUnicode_BuildFromAscii(Py_ssize_t ulength, char* chars, int clength,
                                                int prepend_sign, char padding_char) {
    PyObject *uval;
    Py_ssize_t uoffset = ulength - clength;
#if CYTHON_USE_UNICODE_INTERNALS
    Py_ssize_t i;
#if CYTHON_PEP393_ENABLED
    void *udata;
    uval = PyUnicode_New(ulength, 127);
    if (unlikely(!uval)) return NULL;
    udata = PyUnicode_DATA(uval);
#else
    Py_UNICODE *udata;
    uval = PyUnicode_FromUnicode(NULL, ulength);
    if (unlikely(!uval)) return NULL;
    udata = PyUnicode_AS_UNICODE(uval);
#endif
    if (uoffset > 0) {
        i = 0;
        if (prepend_sign) {
            __Pyx_PyUnicode_WRITE(PyUnicode_1BYTE_KIND, udata, 0, '-');
            i++;
        }
        for (; i < uoffset; i++) {
            __Pyx_PyUnicode_WRITE(PyUnicode_1BYTE_KIND, udata, i, padding_char);
        }
    }
    for (i=0; i < clength; i++) {
        __Pyx_PyUnicode_WRITE(PyUnicode_1BYTE_KIND, udata, uoffset+i, chars[i]);
    }
#else
    {
        PyObject *sign = NULL, *padding = NULL;
        uval = NULL;
        if (uoffset > 0) {
            prepend_sign = !!prepend_sign;
            if (uoffset > prepend_sign) {
                padding = PyUnicode_FromOrdinal(padding_char);
                if (likely(padding) && uoffset > prepend_sign + 1) {
                    PyObject *tmp;
                    PyObject *repeat = PyInt_FromSize_t(uoffset - prepend_sign);
                    if (unlikely(!repeat)) goto done_or_error;
                    tmp = PyNumber_Multiply(padding, repeat);
                    Py_DECREF(repeat);
                    Py_DECREF(padding);
                    padding = tmp;
                }
                if (unlikely(!padding)) goto done_or_error;
            }
            if (prepend_sign) {
                sign = PyUnicode_FromOrdinal('-');
                if (unlikely(!sign)) goto done_or_error;
            }
        }
        uval = PyUnicode_DecodeASCII(chars, clength, NULL);
        if (likely(uval) && padding) {
            PyObject *tmp = PyNumber_Add(padding, uval);
            Py_DECREF(uval);
            uval = tmp;
        }
        if (likely(uval) && sign) {
            PyObject *tmp = PyNumber_Add(sign, uval);
            Py_DECREF(uval);
            uval = tmp;
        }
done_or_error:
        Py_XDECREF(padding);
        Py_XDECREF(sign);
    }
#endif
    return uval;
}

/* CIntToPyUnicode */
#ifdef _MSC_VER
    #ifndef _MSC_STDINT_H_
        #if _MSC_VER < 1300
           typedef unsigned short    uint16_t;
        #else
           typedef unsigned __int16  uint16_t;
        #endif
    #endif
#else
   #include <stdint.h>
#endif
#if defined(__GNUC__) && (__GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ >= 6))
#define GCC_DIAGNOSTIC
#endif
static CYTHON_INLINE PyObject* __Pyx_PyUnicode_From_int(int value, Py_ssize_t width, char padding_char, char format_char) {
    char digits[sizeof(int)*3+2];
    char *dpos, *end = digits + sizeof(int)*3+2;
    const char *hex_digits = DIGITS_HEX;
    Py_ssize_t length, ulength;
    int prepend_sign, last_one_off;
    int remaining;
#ifdef GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const int neg_one = (int) -1, const_zero = (int) 0;
#ifdef GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    if (format_char == 'X') {
        hex_digits += 16;
        format_char = 'x';
    }
    remaining = value;
    last_one_off = 0;
    dpos = end;
    do {
        int digit_pos;
        switch (format_char) {
        case 'o':
            digit_pos = abs((int)(remaining % (8*8)));
            remaining = (int) (remaining / (8*8));
            dpos -= 2;
            *(uint16_t*)dpos = ((const uint16_t*)DIGIT_PAIRS_8)[digit_pos];
            last_one_off = (digit_pos < 8);
            break;
        case 'd':
            digit_pos = abs((int)(remaining % (10*10)));
            remaining = (int) (remaining / (10*10));
            dpos -= 2;
            *(uint16_t*)dpos = ((const uint16_t*)DIGIT_PAIRS_10)[digit_pos];
            last_one_off = (digit_pos < 10);
            break;
        case 'x':
            *(--dpos) = hex_digits[abs((int)(remaining % 16))];
            remaining = (int) (remaining / 16);
            break;
        default:
            assert(0);
            break;
        }
    } while (unlikely(remaining != 0));
    if (last_one_off) {
        assert(*dpos == '0');
        dpos++;
    }
    length = end - dpos;
    ulength = length;
    prepend_sign = 0;
    if (!is_unsigned && value <= neg_one) {
        if (padding_char == ' ' || width <= length + 1) {
            *(--dpos) = '-';
            ++length;
        } else {
            prepend_sign = 1;
        }
        ++ulength;
    }
    if (width > ulength) {
        ulength = width;
    }
    if (ulength == 1) {
        return PyUnicode_FromOrdinal(*dpos);
    }
    return __Pyx_PyUnicode_BuildFromAscii(ulength, dpos, (int) length, prepend_sign, padding_char);
}

/* CIntToPyUnicode */
#ifdef _MSC_VER
    #ifndef _MSC_STDINT_H_
        #if _MSC_VER < 1300
           typedef unsigned short    uint16_t;
        #else
           typedef unsigned __int16  uint16_t;
        #endif
    #endif
#else
   #include <stdint.h>
#endif
#if defined(__GNUC__) && (__GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ >= 6))
#define GCC_DIAGNOSTIC
#endif
static CYTHON_INLINE PyObject* __Pyx_PyUnicode_From_Py_ssize_t(Py_ssize_t value, Py_ssize_t width, char padding_char, char format_char) {
    char digits[sizeof(Py_ssize_t)*3+2];
    char *dpos, *end = digits + sizeof(Py_ssize_t)*3+2;
    const char *hex_digits = DIGITS_HEX;
    Py_ssize_t length, ulength;
    int prepend_sign, last_one_off;
    Py_ssize_t remaining;
#ifdef GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const Py_ssize_t neg_one = (Py_ssize_t) -1, const_zero = (Py_ssize_t) 0;
#ifdef GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    if (format_char == 'X') {
        hex_digits += 16;
        format_char = 'x';
    }
    remaining = value;
    last_one_off = 0;
    dpos = end;
    do {
        int digit_pos;
        switch (format_char) {
        case 'o':
            digit_pos = abs((int)(remaining % (8*8)));
            remaining = (Py_ssize_t) (remaining / (8*8));
            dpos -= 2;
            *(uint16_t*)dpos = ((const uint16_t*)DIGIT_PAIRS_8)[digit_pos];
            last_one_off = (digit_pos < 8);
            break;
        case 'd':
            digit_pos = abs((int)(remaining % (10*10)));
            remaining = (Py_ssize_t) (remaining / (10*10));
            dpos -= 2;
            *(uint16_t*)dpos = ((const uint16_t*)DIGIT_PAIRS_10)[digit_pos];
            last_one_off = (digit_pos < 10);
            break;
        case 'x':
            *(--dpos) = hex_digits[abs((int)(remaining % 16))];
            remaining = (Py_ssize_t) (remaining / 16);
            break;
        default:
            assert(0);
            break;
        }
    } while (unlikely(remaining != 0));
    if (last_one_off) {
        assert(*dpos == '0');
        dpos++;
    }
    length = end - dpos;
    ulength = length;
    prepend_sign = 0;
    if (!is_unsigned && value <= neg_one) {
        if (padding_char == ' ' || width <= length + 1) {
            *(--dpos) = '-';
            ++length;
        } else {
            prepend_sign = 1;
        }
        ++ulength;
    }
    if (width > ulength) {
        ulength = width;
    }
    if (ulength == 1) {
        return PyUnicode_FromOrdinal(*dpos);
    }
    return __Pyx_PyUnicode_BuildFromAscii(ulength, dpos, (int) length, prepend_sign, padding_char);
}

/* JoinPyUnicode */
static PyObject* __Pyx_PyUnicode_Join(PyObject* value_tuple, Py_ssize_t value_count, Py_ssize_t result_ulength,
                                      CYTHON_UNUSED Py_UCS4 max_char) {
#if CYTHON_USE_UNICODE_INTERNALS && CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    PyObject *result_uval;
    int result_ukind;
    Py_ssize_t i, char_pos;
    void *result_udata;
#if CYTHON_PEP393_ENABLED
    result_uval = PyUnicode_New(result_ulength, max_char);
    if (unlikely(!result_uval)) return NULL;
    result_ukind = (max_char <= 255) ? PyUnicode_1BYTE_KIND : (max_char <= 65535) ? PyUnicode_2BYTE_KIND : PyUnicode_4BYTE_KIND;
    result_udata = PyUnicode_DATA(result_uval);
#else
    result_uval = PyUnicode_FromUnicode(NULL, result_ulength);
    if (unlikely(!result_uval)) return NULL;
    result_ukind = sizeof(Py_UNICODE);
    result_udata = PyUnicode_AS_UNICODE(result_uval);
#endif
    char_pos = 0;
    for (i=0; i < value_count; i++) {
        int ukind;
        Py_ssize_t ulength;
        void *udata;
        PyObject *uval = PyTuple_GET_ITEM(value_tuple, i);
        if (unlikely(__Pyx_PyUnicode_READY(uval)))
            goto bad;
        ulength = __Pyx_PyUnicode_GET_LENGTH(uval);
        if (unlikely(!ulength))
            continue;
        if (unlikely(char_pos + ulength < 0))
            goto overflow;
        ukind = __Pyx_PyUnicode_KIND(uval);
        udata = __Pyx_PyUnicode_DATA(uval);
        if (!CYTHON_PEP393_ENABLED || ukind == result_ukind) {
            memcpy((char *)result_udata + char_pos * result_ukind, udata, (size_t) (ulength * result_ukind));
        } else {
            #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030300F0 || defined(_PyUnicode_FastCopyCharacters)
            _PyUnicode_FastCopyCharacters(result_uval, char_pos, uval, 0, ulength);
            #else
            Py_ssize_t j;
            for (j=0; j < ulength; j++) {
                Py_UCS4 uchar = __Pyx_PyUnicode_READ(ukind, udata, j);
                __Pyx_PyUnicode_WRITE(result_ukind, result_udata, char_pos+j, uchar);
            }
            #endif
        }
        char_pos += ulength;
    }
    return result_uval;
overflow:
    PyErr_SetString(PyExc_OverflowError, "join() result is too long for a Python string");
bad:
    Py_DECREF(result_uval);
    return NULL;
#else
    result_ulength++;
    value_count++;
    return PyUnicode_Join(__pyx_empty_unicode, value_tuple);
#endif
}

/* PyFloatBinop */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyFloat_TrueDivideObjC(PyObject *op1, PyObject *op2, double floatval, int inplace, int zerodivision_check) {
    const double b = floatval;
    double a, result;
    (void)inplace;
    (void)zerodivision_check;
    if (likely(PyFloat_CheckExact(op1))) {
        a = PyFloat_AS_DOUBLE(op1);
        
    } else
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        a = (double) PyInt_AS_LONG(op1);
        
    } else
    #endif
    if (likely(PyLong_CheckExact(op1))) {
        #if CYTHON_USE_PYLONG_INTERNALS
        const digit* digits = ((PyLongObject*)op1)->ob_digit;
        const Py_ssize_t size = Py_SIZE(op1);
        switch (size) {
            case  0: a = 0.0; break;
            case -1: a = -(double) digits[0]; break;
            case  1: a = (double) digits[0]; break;
            case -2:
            case 2:
                if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (1 * PyLong_SHIFT < 53))) {
                    a = (double) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if ((8 * sizeof(unsigned long) < 53) || (2 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
                        if (size == -2)
                            a = -a;
                        break;
                    }
                }
                CYTHON_FALLTHROUGH;
            case -3:
            case 3:
                if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (2 * PyLong_SHIFT < 53))) {
                    a = (double) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if ((8 * sizeof(unsigned long) < 53) || (3 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
                        if (size == -3)
                            a = -a;
                        break;
                    }
                }
                CYTHON_FALLTHROUGH;
            case -4:
            case 4:
                if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (3 * PyLong_SHIFT < 53))) {
                    a = (double) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if ((8 * sizeof(unsigned long) < 53) || (4 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
                        if (size == -4)
                            a = -a;
                        break;
                    }
                }
                CYTHON_FALLTHROUGH;
            default:
        #else
        {
        #endif
            a = PyLong_AsDouble(op1);
            if (unlikely(a == -1.0 && PyErr_Occurred())) return NULL;
            
        }
    } else {
        return (inplace ? PyNumber_InPlaceTrueDivide : PyNumber_TrueDivide)(op1, op2);
    }
        
        PyFPE_START_PROTECT("divide", return NULL)
        result = a / b;
        PyFPE_END_PROTECT(result)
        return PyFloat_FromDouble(result);
}
#endif

/* PyObjectFormatAndDecref */
  static CYTHON_INLINE PyObject* __Pyx_PyObject_FormatSimpleAndDecref(PyObject* s, PyObject* f) {
    if (unlikely(!s)) return NULL;
    if (likely(PyUnicode_CheckExact(s))) return s;
    #if PY_MAJOR_VERSION < 3
    if (likely(PyString_CheckExact(s))) {
        PyObject *result = PyUnicode_FromEncodedObject(s, NULL, "strict");
        Py_DECREF(s);
        return result;
    }
    #endif
    return __Pyx_PyObject_FormatAndDecref(s, f);
}
static CYTHON_INLINE PyObject* __Pyx_PyObject_FormatAndDecref(PyObject* s, PyObject* f) {
    PyObject *result = PyObject_Format(s, f);
    Py_DECREF(s);
    return result;
}

/* ExtTypeTest */
  static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type) {
    if (unlikely(!type)) {
        PyErr_SetString(PyExc_SystemError, "Missing type object");
        return 0;
    }
    if (likely(__Pyx_TypeCheck(obj, type)))
        return 1;
    PyErr_Format(PyExc_TypeError, "Cannot convert %.200s to %.200s",
                 Py_TYPE(obj)->tp_name, type->tp_name);
    return 0;
}

/* IsLittleEndian */
  static CYTHON_INLINE int __Pyx_Is_Little_Endian(void)
{
  union {
    uint32_t u32;
    uint8_t u8[4];
  } S;
  S.u32 = 0x01020304;
  return S.u8[0] == 4;
}

/* BufferFormatCheck */
  static void __Pyx_BufFmt_Init(__Pyx_BufFmt_Context* ctx,
                              __Pyx_BufFmt_StackElem* stack,
                              __Pyx_TypeInfo* type) {
  stack[0].field = &ctx->root;
  stack[0].parent_offset = 0;
  ctx->root.type = type;
  ctx->root.name = "buffer dtype";
  ctx->root.offset = 0;
  ctx->head = stack;
  ctx->head->field = &ctx->root;
  ctx->fmt_offset = 0;
  ctx->head->parent_offset = 0;
  ctx->new_packmode = '@';
  ctx->enc_packmode = '@';
  ctx->new_count = 1;
  ctx->enc_count = 0;
  ctx->enc_type = 0;
  ctx->is_complex = 0;
  ctx->is_valid_array = 0;
  ctx->struct_alignment = 0;
  while (type->typegroup == 'S') {
    ++ctx->head;
    ctx->head->field = type->fields;
    ctx->head->parent_offset = 0;
    type = type->fields->type;
  }
}
static int __Pyx_BufFmt_ParseNumber(const char** ts) {
    int count;
    const char* t = *ts;
    if (*t < '0' || *t > '9') {
      return -1;
    } else {
        count = *t++ - '0';
        while (*t >= '0' && *t <= '9') {
            count *= 10;
            count += *t++ - '0';
        }
    }
    *ts = t;
    return count;
}
static int __Pyx_BufFmt_ExpectNumber(const char **ts) {
    int number = __Pyx_BufFmt_ParseNumber(ts);
    if (number == -1)
        PyErr_Format(PyExc_ValueError,\
                     "Does not understand character buffer dtype format string ('%c')", **ts);
    return number;
}
static void __Pyx_BufFmt_RaiseUnexpectedChar(char ch) {
  PyErr_Format(PyExc_ValueError,
               "Unexpected format string character: '%c'", ch);
}
static const char* __Pyx_BufFmt_DescribeTypeChar(char ch, int is_complex) {
  switch (ch) {
    case '?': return "'bool'";
    case 'c': return "'char'";
    case 'b': return "'signed char'";
    case 'B': return "'unsigned char'";
    case 'h': return "'short'";
    case 'H': return "'unsigned short'";
    case 'i': return "'int'";
    case 'I': return "'unsigned int'";
    case 'l': return "'long'";
    case 'L': return "'unsigned long'";
    case 'q': return "'long long'";
    case 'Q': return "'unsigned long long'";
    case 'f': return (is_complex ? "'complex float'" : "'float'");
    case 'd': return (is_complex ? "'complex double'" : "'double'");
    case 'g': return (is_complex ? "'complex long double'" : "'long double'");
    case 'T': return "a struct";
    case 'O': return "Python object";
    case 'P': return "a pointer";
    case 's': case 'p': return "a string";
    case 0: return "end";
    default: return "unparseable format string";
  }
}
static size_t __Pyx_BufFmt_TypeCharToStandardSize(char ch, int is_complex) {
  switch (ch) {
    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
    case 'h': case 'H': return 2;
    case 'i': case 'I': case 'l': case 'L': return 4;
    case 'q': case 'Q': return 8;
    case 'f': return (is_complex ? 8 : 4);
    case 'd': return (is_complex ? 16 : 8);
    case 'g': {
      PyErr_SetString(PyExc_ValueError, "Python does not define a standard format string size for long double ('g')..");
      return 0;
    }
    case 'O': case 'P': return sizeof(void*);
    default:
      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
      return 0;
    }
}
static size_t __Pyx_BufFmt_TypeCharToNativeSize(char ch, int is_complex) {
  switch (ch) {
    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
    case 'h': case 'H': return sizeof(short);
    case 'i': case 'I': return sizeof(int);
    case 'l': case 'L': return sizeof(long);
    #ifdef HAVE_LONG_LONG
    case 'q': case 'Q': return sizeof(PY_LONG_LONG);
    #endif
    case 'f': return sizeof(float) * (is_complex ? 2 : 1);
    case 'd': return sizeof(double) * (is_complex ? 2 : 1);
    case 'g': return sizeof(long double) * (is_complex ? 2 : 1);
    case 'O': case 'P': return sizeof(void*);
    default: {
      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
      return 0;
    }
  }
}
typedef struct { char c; short x; } __Pyx_st_short;
typedef struct { char c; int x; } __Pyx_st_int;
typedef struct { char c; long x; } __Pyx_st_long;
typedef struct { char c; float x; } __Pyx_st_float;
typedef struct { char c; double x; } __Pyx_st_double;
typedef struct { char c; long double x; } __Pyx_st_longdouble;
typedef struct { char c; void *x; } __Pyx_st_void_p;
#ifdef HAVE_LONG_LONG
typedef struct { char c; PY_LONG_LONG x; } __Pyx_st_longlong;
#endif
static size_t __Pyx_BufFmt_TypeCharToAlignment(char ch, CYTHON_UNUSED int is_complex) {
  switch (ch) {
    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
    case 'h': case 'H': return sizeof(__Pyx_st_short) - sizeof(short);
    case 'i': case 'I': return sizeof(__Pyx_st_int) - sizeof(int);
    case 'l': case 'L': return sizeof(__Pyx_st_long) - sizeof(long);
#ifdef HAVE_LONG_LONG
    case 'q': case 'Q': return sizeof(__Pyx_st_longlong) - sizeof(PY_LONG_LONG);
#endif
    case 'f': return sizeof(__Pyx_st_float) - sizeof(float);
    case 'd': return sizeof(__Pyx_st_double) - sizeof(double);
    case 'g': return sizeof(__Pyx_st_longdouble) - sizeof(long double);
    case 'P': case 'O': return sizeof(__Pyx_st_void_p) - sizeof(void*);
    default:
      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
      return 0;
    }
}
/* These are for computing the padding at the end of the struct to align
   on the first member of the struct. This will probably the same as above,
   but we don't have any guarantees.
 */
typedef struct { short x; char c; } __Pyx_pad_short;
typedef struct { int x; char c; } __Pyx_pad_int;
typedef struct { long x; char c; } __Pyx_pad_long;
typedef struct { float x; char c; } __Pyx_pad_float;
typedef struct { double x; char c; } __Pyx_pad_double;
typedef struct { long double x; char c; } __Pyx_pad_longdouble;
typedef struct { void *x; char c; } __Pyx_pad_void_p;
#ifdef HAVE_LONG_LONG
typedef struct { PY_LONG_LONG x; char c; } __Pyx_pad_longlong;
#endif
static size_t __Pyx_BufFmt_TypeCharToPadding(char ch, CYTHON_UNUSED int is_complex) {
  switch (ch) {
    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
    case 'h': case 'H': return sizeof(__Pyx_pad_short) - sizeof(short);
    case 'i': case 'I': return sizeof(__Pyx_pad_int) - sizeof(int);
    case 'l': case 'L': return sizeof(__Pyx_pad_long) - sizeof(long);
#ifdef HAVE_LONG_LONG
    case 'q': case 'Q': return sizeof(__Pyx_pad_longlong) - sizeof(PY_LONG_LONG);
#endif
    case 'f': return sizeof(__Pyx_pad_float) - sizeof(float);
    case 'd': return sizeof(__Pyx_pad_double) - sizeof(double);
    case 'g': return sizeof(__Pyx_pad_longdouble) - sizeof(long double);
    case 'P': case 'O': return sizeof(__Pyx_pad_void_p) - sizeof(void*);
    default:
      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
      return 0;
    }
}
static char __Pyx_BufFmt_TypeCharToGroup(char ch, int is_complex) {
  switch (ch) {
    case 'c':
        return 'H';
    case 'b': case 'h': case 'i':
    case 'l': case 'q': case 's': case 'p':
        return 'I';
    case '?': case 'B': case 'H': case 'I': case 'L': case 'Q':
        return 'U';
    case 'f': case 'd': case 'g':
        return (is_complex ? 'C' : 'R');
    case 'O':
        return 'O';
    case 'P':
        return 'P';
    default: {
      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
      return 0;
    }
  }
}
static void __Pyx_BufFmt_RaiseExpected(__Pyx_BufFmt_Context* ctx) {
  if (ctx->head == NULL || ctx->head->field == &ctx->root) {
    const char* expected;
    const char* quote;
    if (ctx->head == NULL) {
      expected = "end";
      quote = "";
    } else {
      expected = ctx->head->field->type->name;
      quote = "'";
    }
    PyErr_Format(PyExc_ValueError,
                 "Buffer dtype mismatch, expected %s%s%s but got %s",
                 quote, expected, quote,
                 __Pyx_BufFmt_DescribeTypeChar(ctx->enc_type, ctx->is_complex));
  } else {
    __Pyx_StructField* field = ctx->head->field;
    __Pyx_StructField* parent = (ctx->head - 1)->field;
    PyErr_Format(PyExc_ValueError,
                 "Buffer dtype mismatch, expected '%s' but got %s in '%s.%s'",
                 field->type->name, __Pyx_BufFmt_DescribeTypeChar(ctx->enc_type, ctx->is_complex),
                 parent->type->name, field->name);
  }
}
static int __Pyx_BufFmt_ProcessTypeChunk(__Pyx_BufFmt_Context* ctx) {
  char group;
  size_t size, offset, arraysize = 1;
  if (ctx->enc_type == 0) return 0;
  if (ctx->head->field->type->arraysize[0]) {
    int i, ndim = 0;
    if (ctx->enc_type == 's' || ctx->enc_type == 'p') {
        ctx->is_valid_array = ctx->head->field->type->ndim == 1;
        ndim = 1;
        if (ctx->enc_count != ctx->head->field->type->arraysize[0]) {
            PyErr_Format(PyExc_ValueError,
                         "Expected a dimension of size %zu, got %zu",
                         ctx->head->field->type->arraysize[0], ctx->enc_count);
            return -1;
        }
    }
    if (!ctx->is_valid_array) {
      PyErr_Format(PyExc_ValueError, "Expected %d dimensions, got %d",
                   ctx->head->field->type->ndim, ndim);
      return -1;
    }
    for (i = 0; i < ctx->head->field->type->ndim; i++) {
      arraysize *= ctx->head->field->type->arraysize[i];
    }
    ctx->is_valid_array = 0;
    ctx->enc_count = 1;
  }
  group = __Pyx_BufFmt_TypeCharToGroup(ctx->enc_type, ctx->is_complex);
  do {
    __Pyx_StructField* field = ctx->head->field;
    __Pyx_TypeInfo* type = field->type;
    if (ctx->enc_packmode == '@' || ctx->enc_packmode == '^') {
      size = __Pyx_BufFmt_TypeCharToNativeSize(ctx->enc_type, ctx->is_complex);
    } else {
      size = __Pyx_BufFmt_TypeCharToStandardSize(ctx->enc_type, ctx->is_complex);
    }
    if (ctx->enc_packmode == '@') {
      size_t align_at = __Pyx_BufFmt_TypeCharToAlignment(ctx->enc_type, ctx->is_complex);
      size_t align_mod_offset;
      if (align_at == 0) return -1;
      align_mod_offset = ctx->fmt_offset % align_at;
      if (align_mod_offset > 0) ctx->fmt_offset += align_at - align_mod_offset;
      if (ctx->struct_alignment == 0)
          ctx->struct_alignment = __Pyx_BufFmt_TypeCharToPadding(ctx->enc_type,
                                                                 ctx->is_complex);
    }
    if (type->size != size || type->typegroup != group) {
      if (type->typegroup == 'C' && type->fields != NULL) {
        size_t parent_offset = ctx->head->parent_offset + field->offset;
        ++ctx->head;
        ctx->head->field = type->fields;
        ctx->head->parent_offset = parent_offset;
        continue;
      }
      if ((type->typegroup == 'H' || group == 'H') && type->size == size) {
      } else {
          __Pyx_BufFmt_RaiseExpected(ctx);
          return -1;
      }
    }
    offset = ctx->head->parent_offset + field->offset;
    if (ctx->fmt_offset != offset) {
      PyErr_Format(PyExc_ValueError,
                   "Buffer dtype mismatch; next field is at offset %" CYTHON_FORMAT_SSIZE_T "d but %" CYTHON_FORMAT_SSIZE_T "d expected",
                   (Py_ssize_t)ctx->fmt_offset, (Py_ssize_t)offset);
      return -1;
    }
    ctx->fmt_offset += size;
    if (arraysize)
      ctx->fmt_offset += (arraysize - 1) * size;
    --ctx->enc_count;
    while (1) {
      if (field == &ctx->root) {
        ctx->head = NULL;
        if (ctx->enc_count != 0) {
          __Pyx_BufFmt_RaiseExpected(ctx);
          return -1;
        }
        break;
      }
      ctx->head->field = ++field;
      if (field->type == NULL) {
        --ctx->head;
        field = ctx->head->field;
        continue;
      } else if (field->type->typegroup == 'S') {
        size_t parent_offset = ctx->head->parent_offset + field->offset;
        if (field->type->fields->type == NULL) continue;
        field = field->type->fields;
        ++ctx->head;
        ctx->head->field = field;
        ctx->head->parent_offset = parent_offset;
        break;
      } else {
        break;
      }
    }
  } while (ctx->enc_count);
  ctx->enc_type = 0;
  ctx->is_complex = 0;
  return 0;
}
static PyObject *
__pyx_buffmt_parse_array(__Pyx_BufFmt_Context* ctx, const char** tsp)
{
    const char *ts = *tsp;
    int i = 0, number;
    int ndim = ctx->head->field->type->ndim;
;
    ++ts;
    if (ctx->new_count != 1) {
        PyErr_SetString(PyExc_ValueError,
                        "Cannot handle repeated arrays in format string");
        return NULL;
    }
    if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
    while (*ts && *ts != ')') {
        switch (*ts) {
            case ' ': case '\f': case '\r': case '\n': case '\t': case '\v':  continue;
            default:  break;
        }
        number = __Pyx_BufFmt_ExpectNumber(&ts);
        if (number == -1) return NULL;
        if (i < ndim && (size_t) number != ctx->head->field->type->arraysize[i])
            return PyErr_Format(PyExc_ValueError,
                        "Expected a dimension of size %zu, got %d",
                        ctx->head->field->type->arraysize[i], number);
        if (*ts != ',' && *ts != ')')
            return PyErr_Format(PyExc_ValueError,
                                "Expected a comma in format string, got '%c'", *ts);
        if (*ts == ',') ts++;
        i++;
    }
    if (i != ndim)
        return PyErr_Format(PyExc_ValueError, "Expected %d dimension(s), got %d",
                            ctx->head->field->type->ndim, i);
    if (!*ts) {
        PyErr_SetString(PyExc_ValueError,
                        "Unexpected end of format string, expected ')'");
        return NULL;
    }
    ctx->is_valid_array = 1;
    ctx->new_count = 1;
    *tsp = ++ts;
    return Py_None;
}
static const char* __Pyx_BufFmt_CheckString(__Pyx_BufFmt_Context* ctx, const char* ts) {
  int got_Z = 0;
  while (1) {
    switch(*ts) {
      case 0:
        if (ctx->enc_type != 0 && ctx->head == NULL) {
          __Pyx_BufFmt_RaiseExpected(ctx);
          return NULL;
        }
        if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
        if (ctx->head != NULL) {
          __Pyx_BufFmt_RaiseExpected(ctx);
          return NULL;
        }
        return ts;
      case ' ':
      case '\r':
      case '\n':
        ++ts;
        break;
      case '<':
        if (!__Pyx_Is_Little_Endian()) {
          PyErr_SetString(PyExc_ValueError, "Little-endian buffer not supported on big-endian compiler");
          return NULL;
        }
        ctx->new_packmode = '=';
        ++ts;
        break;
      case '>':
      case '!':
        if (__Pyx_Is_Little_Endian()) {
          PyErr_SetString(PyExc_ValueError, "Big-endian buffer not supported on little-endian compiler");
          return NULL;
        }
        ctx->new_packmode = '=';
        ++ts;
        break;
      case '=':
      case '@':
      case '^':
        ctx->new_packmode = *ts++;
        break;
      case 'T':
        {
          const char* ts_after_sub;
          size_t i, struct_count = ctx->new_count;
          size_t struct_alignment = ctx->struct_alignment;
          ctx->new_count = 1;
          ++ts;
          if (*ts != '{') {
            PyErr_SetString(PyExc_ValueError, "Buffer acquisition: Expected '{' after 'T'");
            return NULL;
          }
          if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
          ctx->enc_type = 0;
          ctx->enc_count = 0;
          ctx->struct_alignment = 0;
          ++ts;
          ts_after_sub = ts;
          for (i = 0; i != struct_count; ++i) {
            ts_after_sub = __Pyx_BufFmt_CheckString(ctx, ts);
            if (!ts_after_sub) return NULL;
          }
          ts = ts_after_sub;
          if (struct_alignment) ctx->struct_alignment = struct_alignment;
        }
        break;
      case '}':
        {
          size_t alignment = ctx->struct_alignment;
          ++ts;
          if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
          ctx->enc_type = 0;
          if (alignment && ctx->fmt_offset % alignment) {
            ctx->fmt_offset += alignment - (ctx->fmt_offset % alignment);
          }
        }
        return ts;
      case 'x':
        if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
        ctx->fmt_offset += ctx->new_count;
        ctx->new_count = 1;
        ctx->enc_count = 0;
        ctx->enc_type = 0;
        ctx->enc_packmode = ctx->new_packmode;
        ++ts;
        break;
      case 'Z':
        got_Z = 1;
        ++ts;
        if (*ts != 'f' && *ts != 'd' && *ts != 'g') {
          __Pyx_BufFmt_RaiseUnexpectedChar('Z');
          return NULL;
        }
        CYTHON_FALLTHROUGH;
      case '?': case 'c': case 'b': case 'B': case 'h': case 'H': case 'i': case 'I':
      case 'l': case 'L': case 'q': case 'Q':
      case 'f': case 'd': case 'g':
      case 'O': case 'p':
        if (ctx->enc_type == *ts && got_Z == ctx->is_complex &&
            ctx->enc_packmode == ctx->new_packmode) {
          ctx->enc_count += ctx->new_count;
          ctx->new_count = 1;
          got_Z = 0;
          ++ts;
          break;
        }
        CYTHON_FALLTHROUGH;
      case 's':
        if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
        ctx->enc_count = ctx->new_count;
        ctx->enc_packmode = ctx->new_packmode;
        ctx->enc_type = *ts;
        ctx->is_complex = got_Z;
        ++ts;
        ctx->new_count = 1;
        got_Z = 0;
        break;
      case ':':
        ++ts;
        while(*ts != ':') ++ts;
        ++ts;
        break;
      case '(':
        if (!__pyx_buffmt_parse_array(ctx, &ts)) return NULL;
        break;
      default:
        {
          int number = __Pyx_BufFmt_ExpectNumber(&ts);
          if (number == -1) return NULL;
          ctx->new_count = (size_t)number;
        }
    }
  }
}

/* BufferGetAndValidate */
    static CYTHON_INLINE void __Pyx_SafeReleaseBuffer(Py_buffer* info) {
  if (unlikely(info->buf == NULL)) return;
  if (info->suboffsets == __Pyx_minusones) info->suboffsets = NULL;
  __Pyx_ReleaseBuffer(info);
}
static void __Pyx_ZeroBuffer(Py_buffer* buf) {
  buf->buf = NULL;
  buf->obj = NULL;
  buf->strides = __Pyx_zeros;
  buf->shape = __Pyx_zeros;
  buf->suboffsets = __Pyx_minusones;
}
static int __Pyx__GetBufferAndValidate(
        Py_buffer* buf, PyObject* obj,  __Pyx_TypeInfo* dtype, int flags,
        int nd, int cast, __Pyx_BufFmt_StackElem* stack)
{
  buf->buf = NULL;
  if (unlikely(__Pyx_GetBuffer(obj, buf, flags) == -1)) {
    __Pyx_ZeroBuffer(buf);
    return -1;
  }
  if (unlikely(buf->ndim != nd)) {
    PyErr_Format(PyExc_ValueError,
                 "Buffer has wrong number of dimensions (expected %d, got %d)",
                 nd, buf->ndim);
    goto fail;
  }
  if (!cast) {
    __Pyx_BufFmt_Context ctx;
    __Pyx_BufFmt_Init(&ctx, stack, dtype);
    if (!__Pyx_BufFmt_CheckString(&ctx, buf->format)) goto fail;
  }
  if (unlikely((size_t)buf->itemsize != dtype->size)) {
    PyErr_Format(PyExc_ValueError,
      "Item size of buffer (%" CYTHON_FORMAT_SSIZE_T "d byte%s) does not match size of '%s' (%" CYTHON_FORMAT_SSIZE_T "d byte%s)",
      buf->itemsize, (buf->itemsize > 1) ? "s" : "",
      dtype->name, (Py_ssize_t)dtype->size, (dtype->size > 1) ? "s" : "");
    goto fail;
  }
  if (buf->suboffsets == NULL) buf->suboffsets = __Pyx_minusones;
  return 0;
fail:;
  __Pyx_SafeReleaseBuffer(buf);
  return -1;
}

/* BytesEquals */
    static CYTHON_INLINE int __Pyx_PyBytes_Equals(PyObject* s1, PyObject* s2, int equals) {
#if CYTHON_COMPILING_IN_PYPY
    return PyObject_RichCompareBool(s1, s2, equals);
#else
    if (s1 == s2) {
        return (equals == Py_EQ);
    } else if (PyBytes_CheckExact(s1) & PyBytes_CheckExact(s2)) {
        const char *ps1, *ps2;
        Py_ssize_t length = PyBytes_GET_SIZE(s1);
        if (length != PyBytes_GET_SIZE(s2))
            return (equals == Py_NE);
        ps1 = PyBytes_AS_STRING(s1);
        ps2 = PyBytes_AS_STRING(s2);
        if (ps1[0] != ps2[0]) {
            return (equals == Py_NE);
        } else if (length == 1) {
            return (equals == Py_EQ);
        } else {
            int result;
#if CYTHON_USE_UNICODE_INTERNALS
            Py_hash_t hash1, hash2;
            hash1 = ((PyBytesObject*)s1)->ob_shash;
            hash2 = ((PyBytesObject*)s2)->ob_shash;
            if (hash1 != hash2 && hash1 != -1 && hash2 != -1) {
                return (equals == Py_NE);
            }
#endif
            result = memcmp(ps1, ps2, (size_t)length);
            return (equals == Py_EQ) ? (result == 0) : (result != 0);
        }
    } else if ((s1 == Py_None) & PyBytes_CheckExact(s2)) {
        return (equals == Py_NE);
    } else if ((s2 == Py_None) & PyBytes_CheckExact(s1)) {
        return (equals == Py_NE);
    } else {
        int result;
        PyObject* py_result = PyObject_RichCompare(s1, s2, equals);
        if (!py_result)
            return -1;
        result = __Pyx_PyObject_IsTrue(py_result);
        Py_DECREF(py_result);
        return result;
    }
#endif
}

/* UnicodeEquals */
    static CYTHON_INLINE int __Pyx_PyUnicode_Equals(PyObject* s1, PyObject* s2, int equals) {
#if CYTHON_COMPILING_IN_PYPY
    return PyObject_RichCompareBool(s1, s2, equals);
#else
#if PY_MAJOR_VERSION < 3
    PyObject* owned_ref = NULL;
#endif
    int s1_is_unicode, s2_is_unicode;
    if (s1 == s2) {
        goto return_eq;
    }
    s1_is_unicode = PyUnicode_CheckExact(s1);
    s2_is_unicode = PyUnicode_CheckExact(s2);
#if PY_MAJOR_VERSION < 3
    if ((s1_is_unicode & (!s2_is_unicode)) && PyString_CheckExact(s2)) {
        owned_ref = PyUnicode_FromObject(s2);
        if (unlikely(!owned_ref))
            return -1;
        s2 = owned_ref;
        s2_is_unicode = 1;
    } else if ((s2_is_unicode & (!s1_is_unicode)) && PyString_CheckExact(s1)) {
        owned_ref = PyUnicode_FromObject(s1);
        if (unlikely(!owned_ref))
            return -1;
        s1 = owned_ref;
        s1_is_unicode = 1;
    } else if (((!s2_is_unicode) & (!s1_is_unicode))) {
        return __Pyx_PyBytes_Equals(s1, s2, equals);
    }
#endif
    if (s1_is_unicode & s2_is_unicode) {
        Py_ssize_t length;
        int kind;
        void *data1, *data2;
        if (unlikely(__Pyx_PyUnicode_READY(s1) < 0) || unlikely(__Pyx_PyUnicode_READY(s2) < 0))
            return -1;
        length = __Pyx_PyUnicode_GET_LENGTH(s1);
        if (length != __Pyx_PyUnicode_GET_LENGTH(s2)) {
            goto return_ne;
        }
#if CYTHON_USE_UNICODE_INTERNALS
        {
            Py_hash_t hash1, hash2;
        #if CYTHON_PEP393_ENABLED
            hash1 = ((PyASCIIObject*)s1)->hash;
            hash2 = ((PyASCIIObject*)s2)->hash;
        #else
            hash1 = ((PyUnicodeObject*)s1)->hash;
            hash2 = ((PyUnicodeObject*)s2)->hash;
        #endif
            if (hash1 != hash2 && hash1 != -1 && hash2 != -1) {
                goto return_ne;
            }
        }
#endif
        kind = __Pyx_PyUnicode_KIND(s1);
        if (kind != __Pyx_PyUnicode_KIND(s2)) {
            goto return_ne;
        }
        data1 = __Pyx_PyUnicode_DATA(s1);
        data2 = __Pyx_PyUnicode_DATA(s2);
        if (__Pyx_PyUnicode_READ(kind, data1, 0) != __Pyx_PyUnicode_READ(kind, data2, 0)) {
            goto return_ne;
        } else if (length == 1) {
            goto return_eq;
        } else {
            int result = memcmp(data1, data2, (size_t)(length * kind));
            #if PY_MAJOR_VERSION < 3
            Py_XDECREF(owned_ref);
            #endif
            return (equals == Py_EQ) ? (result == 0) : (result != 0);
        }
    } else if ((s1 == Py_None) & s2_is_unicode) {
        goto return_ne;
    } else if ((s2 == Py_None) & s1_is_unicode) {
        goto return_ne;
    } else {
        int result;
        PyObject* py_result = PyObject_RichCompare(s1, s2, equals);
        #if PY_MAJOR_VERSION < 3
        Py_XDECREF(owned_ref);
        #endif
        if (!py_result)
            return -1;
        result = __Pyx_PyObject_IsTrue(py_result);
        Py_DECREF(py_result);
        return result;
    }
return_eq:
    #if PY_MAJOR_VERSION < 3
    Py_XDECREF(owned_ref);
    #endif
    return (equals == Py_EQ);
return_ne:
    #if PY_MAJOR_VERSION < 3
    Py_XDECREF(owned_ref);
    #endif
    return (equals == Py_NE);
#endif
}

/* PyIntCompare */
    static CYTHON_INLINE PyObject* __Pyx_PyInt_EqObjC(PyObject *op1, PyObject *op2, CYTHON_UNUSED long intval, CYTHON_UNUSED long inplace) {
    if (op1 == op2) {
        Py_RETURN_TRUE;
    }
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        const long b = intval;
        long a = PyInt_AS_LONG(op1);
        if (a == b) Py_RETURN_TRUE; else Py_RETURN_FALSE;
    }
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op1))) {
        int unequal;
        unsigned long uintval;
        Py_ssize_t size = Py_SIZE(op1);
        const digit* digits = ((PyLongObject*)op1)->ob_digit;
        if (intval == 0) {
            if (size == 0) Py_RETURN_TRUE; else Py_RETURN_FALSE;
        } else if (intval < 0) {
            if (size >= 0)
                Py_RETURN_FALSE;
            intval = -intval;
            size = -size;
        } else {
            if (size <= 0)
                Py_RETURN_FALSE;
        }
        uintval = (unsigned long) intval;
#if PyLong_SHIFT * 4 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 4)) {
            unequal = (size != 5) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[3] != ((uintval >> (3 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[4] != ((uintval >> (4 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
#if PyLong_SHIFT * 3 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 3)) {
            unequal = (size != 4) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[3] != ((uintval >> (3 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
#if PyLong_SHIFT * 2 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 2)) {
            unequal = (size != 3) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
#if PyLong_SHIFT * 1 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 1)) {
            unequal = (size != 2) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
            unequal = (size != 1) || (((unsigned long) digits[0]) != (uintval & (unsigned long) PyLong_MASK));
        if (unequal == 0) Py_RETURN_TRUE; else Py_RETURN_FALSE;
    }
    #endif
    if (PyFloat_CheckExact(op1)) {
        const long b = intval;
        double a = PyFloat_AS_DOUBLE(op1);
        if ((double)a == (double)b) Py_RETURN_TRUE; else Py_RETURN_FALSE;
    }
    return (
        PyObject_RichCompare(op1, op2, Py_EQ));
}

/* ObjectGetItem */
    #if CYTHON_USE_TYPE_SLOTS
static PyObject *__Pyx_PyObject_GetIndex(PyObject *obj, PyObject* index) {
    PyObject *runerr;
    Py_ssize_t key_value;
    PySequenceMethods *m = Py_TYPE(obj)->tp_as_sequence;
    if (unlikely(!(m && m->sq_item))) {
        PyErr_Format(PyExc_TypeError, "'%.200s' object is not subscriptable", Py_TYPE(obj)->tp_name);
        return NULL;
    }
    key_value = __Pyx_PyIndex_AsSsize_t(index);
    if (likely(key_value != -1 || !(runerr = PyErr_Occurred()))) {
        return __Pyx_GetItemInt_Fast(obj, key_value, 0, 1, 1);
    }
    if (PyErr_GivenExceptionMatches(runerr, PyExc_OverflowError)) {
        PyErr_Clear();
        PyErr_Format(PyExc_IndexError, "cannot fit '%.200s' into an index-sized integer", Py_TYPE(index)->tp_name);
    }
    return NULL;
}
static PyObject *__Pyx_PyObject_GetItem(PyObject *obj, PyObject* key) {
    PyMappingMethods *m = Py_TYPE(obj)->tp_as_mapping;
    if (likely(m && m->mp_subscript)) {
        return m->mp_subscript(obj, key);
    }
    return __Pyx_PyObject_GetIndex(obj, key);
}
#endif

/* PyIntBinop */
    #if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyInt_SubtractObjC(PyObject *op1, PyObject *op2, CYTHON_UNUSED long intval, int inplace, int zerodivision_check) {
    (void)inplace;
    (void)zerodivision_check;
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        const long b = intval;
        long x;
        long a = PyInt_AS_LONG(op1);
            x = (long)((unsigned long)a - b);
            if (likely((x^a) >= 0 || (x^~b) >= 0))
                return PyInt_FromLong(x);
            return PyLong_Type.tp_as_number->nb_subtract(op1, op2);
    }
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op1))) {
        const long b = intval;
        long a, x;
#ifdef HAVE_LONG_LONG
        const PY_LONG_LONG llb = intval;
        PY_LONG_LONG lla, llx;
#endif
        const digit* digits = ((PyLongObject*)op1)->ob_digit;
        const Py_ssize_t size = Py_SIZE(op1);
        if (likely(__Pyx_sst_abs(size) <= 1)) {
            a = likely(size) ? digits[0] : 0;
            if (size == -1) a = -a;
        } else {
            switch (size) {
                case -2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        a = -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                case 2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        a = (long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                case -3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        a = -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                case 3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        a = (long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                case -4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                        a = -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                case 4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                        a = (long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                default: return PyLong_Type.tp_as_number->nb_subtract(op1, op2);
            }
        }
                x = a - b;
            return PyLong_FromLong(x);
#ifdef HAVE_LONG_LONG
        long_long:
                llx = lla - llb;
            return PyLong_FromLongLong(llx);
#endif
        
        
    }
    #endif
    if (PyFloat_CheckExact(op1)) {
        const long b = intval;
        double a = PyFloat_AS_DOUBLE(op1);
            double result;
            PyFPE_START_PROTECT("subtract", return NULL)
            result = ((double)a) - (double)b;
            PyFPE_END_PROTECT(result)
            return PyFloat_FromDouble(result);
    }
    return (inplace ? PyNumber_InPlaceSubtract : PyNumber_Subtract)(op1, op2);
}
#endif

/* PyIntBinop */
    #if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyInt_AddObjC(PyObject *op1, PyObject *op2, CYTHON_UNUSED long intval, int inplace, int zerodivision_check) {
    (void)inplace;
    (void)zerodivision_check;
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        const long b = intval;
        long x;
        long a = PyInt_AS_LONG(op1);
            x = (long)((unsigned long)a + b);
            if (likely((x^a) >= 0 || (x^b) >= 0))
                return PyInt_FromLong(x);
            return PyLong_Type.tp_as_number->nb_add(op1, op2);
    }
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op1))) {
        const long b = intval;
        long a, x;
#ifdef HAVE_LONG_LONG
        const PY_LONG_LONG llb = intval;
        PY_LONG_LONG lla, llx;
#endif
        const digit* digits = ((PyLongObject*)op1)->ob_digit;
        const Py_ssize_t size = Py_SIZE(op1);
        if (likely(__Pyx_sst_abs(size) <= 1)) {
            a = likely(size) ? digits[0] : 0;
            if (size == -1) a = -a;
        } else {
            switch (size) {
                case -2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        a = -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                case 2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        a = (long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                case -3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        a = -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                case 3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        a = (long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                case -4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                        a = -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                case 4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                        a = (long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                default: return PyLong_Type.tp_as_number->nb_add(op1, op2);
            }
        }
                x = a + b;
            return PyLong_FromLong(x);
#ifdef HAVE_LONG_LONG
        long_long:
                llx = lla + llb;
            return PyLong_FromLongLong(llx);
#endif
        
        
    }
    #endif
    if (PyFloat_CheckExact(op1)) {
        const long b = intval;
        double a = PyFloat_AS_DOUBLE(op1);
            double result;
            PyFPE_START_PROTECT("add", return NULL)
            result = ((double)a) + (double)b;
            PyFPE_END_PROTECT(result)
            return PyFloat_FromDouble(result);
    }
    return (inplace ? PyNumber_InPlaceAdd : PyNumber_Add)(op1, op2);
}
#endif

/* PyFloatBinop */
    #if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyFloat_SubtractObjC(PyObject *op1, PyObject *op2, double floatval, int inplace, int zerodivision_check) {
    const double b = floatval;
    double a, result;
    (void)inplace;
    (void)zerodivision_check;
    if (likely(PyFloat_CheckExact(op1))) {
        a = PyFloat_AS_DOUBLE(op1);
        
    } else
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        a = (double) PyInt_AS_LONG(op1);
        
    } else
    #endif
    if (likely(PyLong_CheckExact(op1))) {
        #if CYTHON_USE_PYLONG_INTERNALS
        const digit* digits = ((PyLongObject*)op1)->ob_digit;
        const Py_ssize_t size = Py_SIZE(op1);
        switch (size) {
            case  0: a = 0.0; break;
            case -1: a = -(double) digits[0]; break;
            case  1: a = (double) digits[0]; break;
            case -2:
            case 2:
                if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (1 * PyLong_SHIFT < 53))) {
                    a = (double) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if ((8 * sizeof(unsigned long) < 53) || (2 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
                        if (size == -2)
                            a = -a;
                        break;
                    }
                }
                CYTHON_FALLTHROUGH;
            case -3:
            case 3:
                if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (2 * PyLong_SHIFT < 53))) {
                    a = (double) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if ((8 * sizeof(unsigned long) < 53) || (3 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
                        if (size == -3)
                            a = -a;
                        break;
                    }
                }
                CYTHON_FALLTHROUGH;
            case -4:
            case 4:
                if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (3 * PyLong_SHIFT < 53))) {
                    a = (double) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if ((8 * sizeof(unsigned long) < 53) || (4 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
                        if (size == -4)
                            a = -a;
                        break;
                    }
                }
                CYTHON_FALLTHROUGH;
            default:
        #else
        {
        #endif
            a = PyLong_AsDouble(op1);
            if (unlikely(a == -1.0 && PyErr_Occurred())) return NULL;
            
        }
    } else {
        return (inplace ? PyNumber_InPlaceSubtract : PyNumber_Subtract)(op1, op2);
    }
        
        PyFPE_START_PROTECT("subtract", return NULL)
        result = a - b;
        PyFPE_END_PROTECT(result)
        return PyFloat_FromDouble(result);
}
#endif

/* PyFloatBinop */
      #if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyFloat_AddObjC(PyObject *op1, PyObject *op2, double floatval, int inplace, int zerodivision_check) {
    const double b = floatval;
    double a, result;
    (void)inplace;
    (void)zerodivision_check;
    if (likely(PyFloat_CheckExact(op1))) {
        a = PyFloat_AS_DOUBLE(op1);
        
    } else
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        a = (double) PyInt_AS_LONG(op1);
        
    } else
    #endif
    if (likely(PyLong_CheckExact(op1))) {
        #if CYTHON_USE_PYLONG_INTERNALS
        const digit* digits = ((PyLongObject*)op1)->ob_digit;
        const Py_ssize_t size = Py_SIZE(op1);
        switch (size) {
            case  0: a = 0.0; break;
            case -1: a = -(double) digits[0]; break;
            case  1: a = (double) digits[0]; break;
            case -2:
            case 2:
                if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (1 * PyLong_SHIFT < 53))) {
                    a = (double) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if ((8 * sizeof(unsigned long) < 53) || (2 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
                        if (size == -2)
                            a = -a;
                        break;
                    }
                }
                CYTHON_FALLTHROUGH;
            case -3:
            case 3:
                if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (2 * PyLong_SHIFT < 53))) {
                    a = (double) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if ((8 * sizeof(unsigned long) < 53) || (3 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
                        if (size == -3)
                            a = -a;
                        break;
                    }
                }
                CYTHON_FALLTHROUGH;
            case -4:
            case 4:
                if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (3 * PyLong_SHIFT < 53))) {
                    a = (double) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if ((8 * sizeof(unsigned long) < 53) || (4 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
                        if (size == -4)
                            a = -a;
                        break;
                    }
                }
                CYTHON_FALLTHROUGH;
            default:
        #else
        {
        #endif
            a = PyLong_AsDouble(op1);
            if (unlikely(a == -1.0 && PyErr_Occurred())) return NULL;
            
        }
    } else {
        return (inplace ? PyNumber_InPlaceAdd : PyNumber_Add)(op1, op2);
    }
        
        PyFPE_START_PROTECT("add", return NULL)
        result = a + b;
        PyFPE_END_PROTECT(result)
        return PyFloat_FromDouble(result);
}
#endif

/* SliceObject */
        static CYTHON_INLINE PyObject* __Pyx_PyObject_GetSlice(PyObject* obj,
        Py_ssize_t cstart, Py_ssize_t cstop,
        PyObject** _py_start, PyObject** _py_stop, PyObject** _py_slice,
        int has_cstart, int has_cstop, CYTHON_UNUSED int wraparound) {
#if CYTHON_USE_TYPE_SLOTS
    PyMappingMethods* mp;
#if PY_MAJOR_VERSION < 3
    PySequenceMethods* ms = Py_TYPE(obj)->tp_as_sequence;
    if (likely(ms && ms->sq_slice)) {
        if (!has_cstart) {
            if (_py_start && (*_py_start != Py_None)) {
                cstart = __Pyx_PyIndex_AsSsize_t(*_py_start);
                if ((cstart == (Py_ssize_t)-1) && PyErr_Occurred()) goto bad;
            } else
                cstart = 0;
        }
        if (!has_cstop) {
            if (_py_stop && (*_py_stop != Py_None)) {
                cstop = __Pyx_PyIndex_AsSsize_t(*_py_stop);
                if ((cstop == (Py_ssize_t)-1) && PyErr_Occurred()) goto bad;
            } else
                cstop = PY_SSIZE_T_MAX;
        }
        if (wraparound && unlikely((cstart < 0) | (cstop < 0)) && likely(ms->sq_length)) {
            Py_ssize_t l = ms->sq_length(obj);
            if (likely(l >= 0)) {
                if (cstop < 0) {
                    cstop += l;
                    if (cstop < 0) cstop = 0;
                }
                if (cstart < 0) {
                    cstart += l;
                    if (cstart < 0) cstart = 0;
                }
            } else {
                if (!PyErr_ExceptionMatches(PyExc_OverflowError))
                    goto bad;
                PyErr_Clear();
            }
        }
        return ms->sq_slice(obj, cstart, cstop);
    }
#endif
    mp = Py_TYPE(obj)->tp_as_mapping;
    if (likely(mp && mp->mp_subscript))
#endif
    {
        PyObject* result;
        PyObject *py_slice, *py_start, *py_stop;
        if (_py_slice) {
            py_slice = *_py_slice;
        } else {
            PyObject* owned_start = NULL;
            PyObject* owned_stop = NULL;
            if (_py_start) {
                py_start = *_py_start;
            } else {
                if (has_cstart) {
                    owned_start = py_start = PyInt_FromSsize_t(cstart);
                    if (unlikely(!py_start)) goto bad;
                } else
                    py_start = Py_None;
            }
            if (_py_stop) {
                py_stop = *_py_stop;
            } else {
                if (has_cstop) {
                    owned_stop = py_stop = PyInt_FromSsize_t(cstop);
                    if (unlikely(!py_stop)) {
                        Py_XDECREF(owned_start);
                        goto bad;
                    }
                } else
                    py_stop = Py_None;
            }
            py_slice = PySlice_New(py_start, py_stop, Py_None);
            Py_XDECREF(owned_start);
            Py_XDECREF(owned_stop);
            if (unlikely(!py_slice)) goto bad;
        }
#if CYTHON_USE_TYPE_SLOTS
        result = mp->mp_subscript(obj, py_slice);
#else
        result = PyObject_GetItem(obj, py_slice);
#endif
        if (!_py_slice) {
            Py_DECREF(py_slice);
        }
        return result;
    }
    PyErr_Format(PyExc_TypeError,
        "'%.200s' object is unsliceable", Py_TYPE(obj)->tp_name);
bad:
    return NULL;
}

/* GetTopmostException */
        #if CYTHON_USE_EXC_INFO_STACK
static _PyErr_StackItem *
__Pyx_PyErr_GetTopmostException(PyThreadState *tstate)
{
    _PyErr_StackItem *exc_info = tstate->exc_info;
    while ((exc_info->exc_type == NULL || exc_info->exc_type == Py_None) &&
           exc_info->previous_item != NULL)
    {
        exc_info = exc_info->previous_item;
    }
    return exc_info;
}
#endif

/* SaveResetException */
        #if CYTHON_FAST_THREAD_STATE
static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
    #if CYTHON_USE_EXC_INFO_STACK
    _PyErr_StackItem *exc_info = __Pyx_PyErr_GetTopmostException(tstate);
    *type = exc_info->exc_type;
    *value = exc_info->exc_value;
    *tb = exc_info->exc_traceback;
    #else
    *type = tstate->exc_type;
    *value = tstate->exc_value;
    *tb = tstate->exc_traceback;
    #endif
    Py_XINCREF(*type);
    Py_XINCREF(*value);
    Py_XINCREF(*tb);
}
static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    #if CYTHON_USE_EXC_INFO_STACK
    _PyErr_StackItem *exc_info = tstate->exc_info;
    tmp_type = exc_info->exc_type;
    tmp_value = exc_info->exc_value;
    tmp_tb = exc_info->exc_traceback;
    exc_info->exc_type = type;
    exc_info->exc_value = value;
    exc_info->exc_traceback = tb;
    #else
    tmp_type = tstate->exc_type;
    tmp_value = tstate->exc_value;
    tmp_tb = tstate->exc_traceback;
    tstate->exc_type = type;
    tstate->exc_value = value;
    tstate->exc_traceback = tb;
    #endif
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
}
#endif

/* GetException */
        #if CYTHON_FAST_THREAD_STATE
static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb)
#else
static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb)
#endif
{
    PyObject *local_type, *local_value, *local_tb;
#if CYTHON_FAST_THREAD_STATE
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    local_type = tstate->curexc_type;
    local_value = tstate->curexc_value;
    local_tb = tstate->curexc_traceback;
    tstate->curexc_type = 0;
    tstate->curexc_value = 0;
    tstate->curexc_traceback = 0;
#else
    PyErr_Fetch(&local_type, &local_value, &local_tb);
#endif
    PyErr_NormalizeException(&local_type, &local_value, &local_tb);
#if CYTHON_FAST_THREAD_STATE
    if (unlikely(tstate->curexc_type))
#else
    if (unlikely(PyErr_Occurred()))
#endif
        goto bad;
    #if PY_MAJOR_VERSION >= 3
    if (local_tb) {
        if (unlikely(PyException_SetTraceback(local_value, local_tb) < 0))
            goto bad;
    }
    #endif
    Py_XINCREF(local_tb);
    Py_XINCREF(local_type);
    Py_XINCREF(local_value);
    *type = local_type;
    *value = local_value;
    *tb = local_tb;
#if CYTHON_FAST_THREAD_STATE
    #if CYTHON_USE_EXC_INFO_STACK
    {
        _PyErr_StackItem *exc_info = tstate->exc_info;
        tmp_type = exc_info->exc_type;
        tmp_value = exc_info->exc_value;
        tmp_tb = exc_info->exc_traceback;
        exc_info->exc_type = local_type;
        exc_info->exc_value = local_value;
        exc_info->exc_traceback = local_tb;
    }
    #else
    tmp_type = tstate->exc_type;
    tmp_value = tstate->exc_value;
    tmp_tb = tstate->exc_traceback;
    tstate->exc_type = local_type;
    tstate->exc_value = local_value;
    tstate->exc_traceback = local_tb;
    #endif
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
#else
    PyErr_SetExcInfo(local_type, local_value, local_tb);
#endif
    return 0;
bad:
    *type = 0;
    *value = 0;
    *tb = 0;
    Py_XDECREF(local_type);
    Py_XDECREF(local_value);
    Py_XDECREF(local_tb);
    return -1;
}

/* BufferFallbackError */
        static void __Pyx_RaiseBufferFallbackError(void) {
  PyErr_SetString(PyExc_ValueError,
     "Buffer acquisition failed on assignment; and then reacquiring the old buffer failed too!");
}

/* PyErrExceptionMatches */
        #if CYTHON_FAST_THREAD_STATE
static int __Pyx_PyErr_ExceptionMatchesTuple(PyObject *exc_type, PyObject *tuple) {
    Py_ssize_t i, n;
    n = PyTuple_GET_SIZE(tuple);
#if PY_MAJOR_VERSION >= 3
    for (i=0; i<n; i++) {
        if (exc_type == PyTuple_GET_ITEM(tuple, i)) return 1;
    }
#endif
    for (i=0; i<n; i++) {
        if (__Pyx_PyErr_GivenExceptionMatches(exc_type, PyTuple_GET_ITEM(tuple, i))) return 1;
    }
    return 0;
}
static CYTHON_INLINE int __Pyx_PyErr_ExceptionMatchesInState(PyThreadState* tstate, PyObject* err) {
    PyObject *exc_type = tstate->curexc_type;
    if (exc_type == err) return 1;
    if (unlikely(!exc_type)) return 0;
    if (unlikely(PyTuple_Check(err)))
        return __Pyx_PyErr_ExceptionMatchesTuple(exc_type, err);
    return __Pyx_PyErr_GivenExceptionMatches(exc_type, err);
}
#endif

/* ArgTypeTest */
        static int __Pyx__ArgTypeTest(PyObject *obj, PyTypeObject *type, const char *name, int exact)
{
    if (unlikely(!type)) {
        PyErr_SetString(PyExc_SystemError, "Missing type object");
        return 0;
    }
    else if (exact) {
        #if PY_MAJOR_VERSION == 2
        if ((type == &PyBaseString_Type) && likely(__Pyx_PyBaseString_CheckExact(obj))) return 1;
        #endif
    }
    else {
        if (likely(__Pyx_TypeCheck(obj, type))) return 1;
    }
    PyErr_Format(PyExc_TypeError,
        "Argument '%.200s' has incorrect type (expected %.200s, got %.200s)",
        name, type->tp_name, Py_TYPE(obj)->tp_name);
    return 0;
}

/* None */
        static CYTHON_INLINE Py_ssize_t __Pyx_div_Py_ssize_t(Py_ssize_t a, Py_ssize_t b) {
    Py_ssize_t q = a / b;
    Py_ssize_t r = a - q*b;
    q -= ((r != 0) & ((r ^ b) < 0));
    return q;
}

/* GetAttr */
        static CYTHON_INLINE PyObject *__Pyx_GetAttr(PyObject *o, PyObject *n) {
#if CYTHON_USE_TYPE_SLOTS
#if PY_MAJOR_VERSION >= 3
    if (likely(PyUnicode_Check(n)))
#else
    if (likely(PyString_Check(n)))
#endif
        return __Pyx_PyObject_GetAttrStr(o, n);
#endif
    return PyObject_GetAttr(o, n);
}

/* decode_c_string */
        static CYTHON_INLINE PyObject* __Pyx_decode_c_string(
         const char* cstring, Py_ssize_t start, Py_ssize_t stop,
         const char* encoding, const char* errors,
         PyObject* (*decode_func)(const char *s, Py_ssize_t size, const char *errors)) {
    Py_ssize_t length;
    if (unlikely((start < 0) | (stop < 0))) {
        size_t slen = strlen(cstring);
        if (unlikely(slen > (size_t) PY_SSIZE_T_MAX)) {
            PyErr_SetString(PyExc_OverflowError,
                            "c-string too long to convert to Python");
            return NULL;
        }
        length = (Py_ssize_t) slen;
        if (start < 0) {
            start += length;
            if (start < 0)
                start = 0;
        }
        if (stop < 0)
            stop += length;
    }
    length = stop - start;
    if (unlikely(length <= 0))
        return PyUnicode_FromUnicode(NULL, 0);
    cstring += start;
    if (decode_func) {
        return decode_func(cstring, length, errors);
    } else {
        return PyUnicode_Decode(cstring, length, encoding, errors);
    }
}

/* GetAttr3 */
        static PyObject *__Pyx_GetAttr3Default(PyObject *d) {
    __Pyx_PyThreadState_declare
    __Pyx_PyThreadState_assign
    if (unlikely(!__Pyx_PyErr_ExceptionMatches(PyExc_AttributeError)))
        return NULL;
    __Pyx_PyErr_Clear();
    Py_INCREF(d);
    return d;
}
static CYTHON_INLINE PyObject *__Pyx_GetAttr3(PyObject *o, PyObject *n, PyObject *d) {
    PyObject *r = __Pyx_GetAttr(o, n);
    return (likely(r)) ? r : __Pyx_GetAttr3Default(d);
}

/* SwapException */
        #if CYTHON_FAST_THREAD_STATE
static CYTHON_INLINE void __Pyx__ExceptionSwap(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    #if CYTHON_USE_EXC_INFO_STACK
    _PyErr_StackItem *exc_info = tstate->exc_info;
    tmp_type = exc_info->exc_type;
    tmp_value = exc_info->exc_value;
    tmp_tb = exc_info->exc_traceback;
    exc_info->exc_type = *type;
    exc_info->exc_value = *value;
    exc_info->exc_traceback = *tb;
    #else
    tmp_type = tstate->exc_type;
    tmp_value = tstate->exc_value;
    tmp_tb = tstate->exc_traceback;
    tstate->exc_type = *type;
    tstate->exc_value = *value;
    tstate->exc_traceback = *tb;
    #endif
    *type = tmp_type;
    *value = tmp_value;
    *tb = tmp_tb;
}
#else
static CYTHON_INLINE void __Pyx_ExceptionSwap(PyObject **type, PyObject **value, PyObject **tb) {
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    PyErr_GetExcInfo(&tmp_type, &tmp_value, &tmp_tb);
    PyErr_SetExcInfo(*type, *value, *tb);
    *type = tmp_type;
    *value = tmp_value;
    *tb = tmp_tb;
}
#endif

/* FastTypeChecks */
        #if CYTHON_COMPILING_IN_CPYTHON
static int __Pyx_InBases(PyTypeObject *a, PyTypeObject *b) {
    while (a) {
        a = a->tp_base;
        if (a == b)
            return 1;
    }
    return b == &PyBaseObject_Type;
}
static CYTHON_INLINE int __Pyx_IsSubtype(PyTypeObject *a, PyTypeObject *b) {
    PyObject *mro;
    if (a == b) return 1;
    mro = a->tp_mro;
    if (likely(mro)) {
        Py_ssize_t i, n;
        n = PyTuple_GET_SIZE(mro);
        for (i = 0; i < n; i++) {
            if (PyTuple_GET_ITEM(mro, i) == (PyObject *)b)
                return 1;
        }
        return 0;
    }
    return __Pyx_InBases(a, b);
}
#if PY_MAJOR_VERSION == 2
static int __Pyx_inner_PyErr_GivenExceptionMatches2(PyObject *err, PyObject* exc_type1, PyObject* exc_type2) {
    PyObject *exception, *value, *tb;
    int res;
    __Pyx_PyThreadState_declare
    __Pyx_PyThreadState_assign
    __Pyx_ErrFetch(&exception, &value, &tb);
    res = exc_type1 ? PyObject_IsSubclass(err, exc_type1) : 0;
    if (unlikely(res == -1)) {
        PyErr_WriteUnraisable(err);
        res = 0;
    }
    if (!res) {
        res = PyObject_IsSubclass(err, exc_type2);
        if (unlikely(res == -1)) {
            PyErr_WriteUnraisable(err);
            res = 0;
        }
    }
    __Pyx_ErrRestore(exception, value, tb);
    return res;
}
#else
static CYTHON_INLINE int __Pyx_inner_PyErr_GivenExceptionMatches2(PyObject *err, PyObject* exc_type1, PyObject *exc_type2) {
    int res = exc_type1 ? __Pyx_IsSubtype((PyTypeObject*)err, (PyTypeObject*)exc_type1) : 0;
    if (!res) {
        res = __Pyx_IsSubtype((PyTypeObject*)err, (PyTypeObject*)exc_type2);
    }
    return res;
}
#endif
static int __Pyx_PyErr_GivenExceptionMatchesTuple(PyObject *exc_type, PyObject *tuple) {
    Py_ssize_t i, n;
    assert(PyExceptionClass_Check(exc_type));
    n = PyTuple_GET_SIZE(tuple);
#if PY_MAJOR_VERSION >= 3
    for (i=0; i<n; i++) {
        if (exc_type == PyTuple_GET_ITEM(tuple, i)) return 1;
    }
#endif
    for (i=0; i<n; i++) {
        PyObject *t = PyTuple_GET_ITEM(tuple, i);
        #if PY_MAJOR_VERSION < 3
        if (likely(exc_type == t)) return 1;
        #endif
        if (likely(PyExceptionClass_Check(t))) {
            if (__Pyx_inner_PyErr_GivenExceptionMatches2(exc_type, NULL, t)) return 1;
        } else {
        }
    }
    return 0;
}
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches(PyObject *err, PyObject* exc_type) {
    if (likely(err == exc_type)) return 1;
    if (likely(PyExceptionClass_Check(err))) {
        if (likely(PyExceptionClass_Check(exc_type))) {
            return __Pyx_inner_PyErr_GivenExceptionMatches2(err, NULL, exc_type);
        } else if (likely(PyTuple_Check(exc_type))) {
            return __Pyx_PyErr_GivenExceptionMatchesTuple(err, exc_type);
        } else {
        }
    }
    return PyErr_GivenExceptionMatches(err, exc_type);
}
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *exc_type1, PyObject *exc_type2) {
    assert(PyExceptionClass_Check(exc_type1));
    assert(PyExceptionClass_Check(exc_type2));
    if (likely(err == exc_type1 || err == exc_type2)) return 1;
    if (likely(PyExceptionClass_Check(err))) {
        return __Pyx_inner_PyErr_GivenExceptionMatches2(err, exc_type1, exc_type2);
    }
    return (PyErr_GivenExceptionMatches(err, exc_type1) || PyErr_GivenExceptionMatches(err, exc_type2));
}
#endif

/* None */
        static CYTHON_INLINE long __Pyx_div_long(long a, long b) {
    long q = a / b;
    long r = a - q*b;
    q -= ((r != 0) & ((r ^ b) < 0));
    return q;
}

/* HasAttr */
        static CYTHON_INLINE int __Pyx_HasAttr(PyObject *o, PyObject *n) {
    PyObject *r;
    if (unlikely(!__Pyx_PyBaseString_Check(n))) {
        PyErr_SetString(PyExc_TypeError,
                        "hasattr(): attribute name must be string");
        return -1;
    }
    r = __Pyx_GetAttr(o, n);
    if (unlikely(!r)) {
        PyErr_Clear();
        return 0;
    } else {
        Py_DECREF(r);
        return 1;
    }
}

/* PyObject_GenericGetAttrNoDict */
        #if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
static PyObject *__Pyx_RaiseGenericGetAttributeError(PyTypeObject *tp, PyObject *attr_name) {
    PyErr_Format(PyExc_AttributeError,
#if PY_MAJOR_VERSION >= 3
                 "'%.50s' object has no attribute '%U'",
                 tp->tp_name, attr_name);
#else
                 "'%.50s' object has no attribute '%.400s'",
                 tp->tp_name, PyString_AS_STRING(attr_name));
#endif
    return NULL;
}
static CYTHON_INLINE PyObject* __Pyx_PyObject_GenericGetAttrNoDict(PyObject* obj, PyObject* attr_name) {
    PyObject *descr;
    PyTypeObject *tp = Py_TYPE(obj);
    if (unlikely(!PyString_Check(attr_name))) {
        return PyObject_GenericGetAttr(obj, attr_name);
    }
    assert(!tp->tp_dictoffset);
    descr = _PyType_Lookup(tp, attr_name);
    if (unlikely(!descr)) {
        return __Pyx_RaiseGenericGetAttributeError(tp, attr_name);
    }
    Py_INCREF(descr);
    #if PY_MAJOR_VERSION < 3
    if (likely(PyType_HasFeature(Py_TYPE(descr), Py_TPFLAGS_HAVE_CLASS)))
    #endif
    {
        descrgetfunc f = Py_TYPE(descr)->tp_descr_get;
        if (unlikely(f)) {
            PyObject *res = f(descr, obj, (PyObject *)tp);
            Py_DECREF(descr);
            return res;
        }
    }
    return descr;
}
#endif

/* PyObject_GenericGetAttr */
        #if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
static PyObject* __Pyx_PyObject_GenericGetAttr(PyObject* obj, PyObject* attr_name) {
    if (unlikely(Py_TYPE(obj)->tp_dictoffset)) {
        return PyObject_GenericGetAttr(obj, attr_name);
    }
    return __Pyx_PyObject_GenericGetAttrNoDict(obj, attr_name);
}
#endif

/* SetVTable */
        static int __Pyx_SetVtable(PyObject *dict, void *vtable) {
#if PY_VERSION_HEX >= 0x02070000
    PyObject *ob = PyCapsule_New(vtable, 0, 0);
#else
    PyObject *ob = PyCObject_FromVoidPtr(vtable, 0);
#endif
    if (!ob)
        goto bad;
    if (PyDict_SetItem(dict, __pyx_n_s_pyx_vtable, ob) < 0)
        goto bad;
    Py_DECREF(ob);
    return 0;
bad:
    Py_XDECREF(ob);
    return -1;
}

/* SetupReduce */
        static int __Pyx_setup_reduce_is_named(PyObject* meth, PyObject* name) {
  int ret;
  PyObject *name_attr;
  name_attr = __Pyx_PyObject_GetAttrStr(meth, __pyx_n_s_name_2);
  if (likely(name_attr)) {
      ret = PyObject_RichCompareBool(name_attr, name, Py_EQ);
  } else {
      ret = -1;
  }
  if (unlikely(ret < 0)) {
      PyErr_Clear();
      ret = 0;
  }
  Py_XDECREF(name_attr);
  return ret;
}
static int __Pyx_setup_reduce(PyObject* type_obj) {
    int ret = 0;
    PyObject *object_reduce = NULL;
    PyObject *object_reduce_ex = NULL;
    PyObject *reduce = NULL;
    PyObject *reduce_ex = NULL;
    PyObject *reduce_cython = NULL;
    PyObject *setstate = NULL;
    PyObject *setstate_cython = NULL;
#if CYTHON_USE_PYTYPE_LOOKUP
    if (_PyType_Lookup((PyTypeObject*)type_obj, __pyx_n_s_getstate)) goto GOOD;
#else
    if (PyObject_HasAttr(type_obj, __pyx_n_s_getstate)) goto GOOD;
#endif
#if CYTHON_USE_PYTYPE_LOOKUP
    object_reduce_ex = _PyType_Lookup(&PyBaseObject_Type, __pyx_n_s_reduce_ex); if (!object_reduce_ex) goto BAD;
#else
    object_reduce_ex = __Pyx_PyObject_GetAttrStr((PyObject*)&PyBaseObject_Type, __pyx_n_s_reduce_ex); if (!object_reduce_ex) goto BAD;
#endif
    reduce_ex = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_reduce_ex); if (unlikely(!reduce_ex)) goto BAD;
    if (reduce_ex == object_reduce_ex) {
#if CYTHON_USE_PYTYPE_LOOKUP
        object_reduce = _PyType_Lookup(&PyBaseObject_Type, __pyx_n_s_reduce); if (!object_reduce) goto BAD;
#else
        object_reduce = __Pyx_PyObject_GetAttrStr((PyObject*)&PyBaseObject_Type, __pyx_n_s_reduce); if (!object_reduce) goto BAD;
#endif
        reduce = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_reduce); if (unlikely(!reduce)) goto BAD;
        if (reduce == object_reduce || __Pyx_setup_reduce_is_named(reduce, __pyx_n_s_reduce_cython)) {
            reduce_cython = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_reduce_cython); if (unlikely(!reduce_cython)) goto BAD;
            ret = PyDict_SetItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_reduce, reduce_cython); if (unlikely(ret < 0)) goto BAD;
            ret = PyDict_DelItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_reduce_cython); if (unlikely(ret < 0)) goto BAD;
            setstate = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_setstate);
            if (!setstate) PyErr_Clear();
            if (!setstate || __Pyx_setup_reduce_is_named(setstate, __pyx_n_s_setstate_cython)) {
                setstate_cython = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_setstate_cython); if (unlikely(!setstate_cython)) goto BAD;
                ret = PyDict_SetItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_setstate, setstate_cython); if (unlikely(ret < 0)) goto BAD;
                ret = PyDict_DelItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_setstate_cython); if (unlikely(ret < 0)) goto BAD;
            }
            PyType_Modified((PyTypeObject*)type_obj);
        }
    }
    goto GOOD;
BAD:
    if (!PyErr_Occurred())
        PyErr_Format(PyExc_RuntimeError, "Unable to initialize pickling for %s", ((PyTypeObject*)type_obj)->tp_name);
    ret = -1;
GOOD:
#if !CYTHON_USE_PYTYPE_LOOKUP
    Py_XDECREF(object_reduce);
    Py_XDECREF(object_reduce_ex);
#endif
    Py_XDECREF(reduce);
    Py_XDECREF(reduce_ex);
    Py_XDECREF(reduce_cython);
    Py_XDECREF(setstate);
    Py_XDECREF(setstate_cython);
    return ret;
}

/* TypeImport */
        #ifndef __PYX_HAVE_RT_ImportType
#define __PYX_HAVE_RT_ImportType
static PyTypeObject *__Pyx_ImportType(PyObject *module, const char *module_name, const char *class_name,
    size_t size, enum __Pyx_ImportType_CheckSize check_size)
{
    PyObject *result = 0;
    char warning[200];
    Py_ssize_t basicsize;
#ifdef Py_LIMITED_API
    PyObject *py_basicsize;
#endif
    result = PyObject_GetAttrString(module, class_name);
    if (!result)
        goto bad;
    if (!PyType_Check(result)) {
        PyErr_Format(PyExc_TypeError,
            "%.200s.%.200s is not a type object",
            module_name, class_name);
        goto bad;
    }
#ifndef Py_LIMITED_API
    basicsize = ((PyTypeObject *)result)->tp_basicsize;
#else
    py_basicsize = PyObject_GetAttrString(result, "__basicsize__");
    if (!py_basicsize)
        goto bad;
    basicsize = PyLong_AsSsize_t(py_basicsize);
    Py_DECREF(py_basicsize);
    py_basicsize = 0;
    if (basicsize == (Py_ssize_t)-1 && PyErr_Occurred())
        goto bad;
#endif
    if ((size_t)basicsize < size) {
        PyErr_Format(PyExc_ValueError,
            "%.200s.%.200s size changed, may indicate binary incompatibility. "
            "Expected %zd from C header, got %zd from PyObject",
            module_name, class_name, size, basicsize);
        goto bad;
    }
    if (check_size == __Pyx_ImportType_CheckSize_Error && (size_t)basicsize != size) {
        PyErr_Format(PyExc_ValueError,
            "%.200s.%.200s size changed, may indicate binary incompatibility. "
            "Expected %zd from C header, got %zd from PyObject",
            module_name, class_name, size, basicsize);
        goto bad;
    }
    else if (check_size == __Pyx_ImportType_CheckSize_Warn && (size_t)basicsize > size) {
        PyOS_snprintf(warning, sizeof(warning),
            "%s.%s size changed, may indicate binary incompatibility. "
            "Expected %zd from C header, got %zd from PyObject",
            module_name, class_name, size, basicsize);
        if (PyErr_WarnEx(NULL, warning, 0) < 0) goto bad;
    }
    return (PyTypeObject *)result;
bad:
    Py_XDECREF(result);
    return NULL;
}
#endif

/* GetVTable */
        static void* __Pyx_GetVtable(PyObject *dict) {
    void* ptr;
    PyObject *ob = PyObject_GetItem(dict, __pyx_n_s_pyx_vtable);
    if (!ob)
        goto bad;
#if PY_VERSION_HEX >= 0x02070000
    ptr = PyCapsule_GetPointer(ob, 0);
#else
    ptr = PyCObject_AsVoidPtr(ob);
#endif
    if (!ptr && !PyErr_Occurred())
        PyErr_SetString(PyExc_RuntimeError, "invalid vtable found for imported type");
    Py_DECREF(ob);
    return ptr;
bad:
    Py_XDECREF(ob);
    return NULL;
}

/* PyFloatBinop */
        #if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyFloat_AddCObj(PyObject *op1, PyObject *op2, double floatval, int inplace, int zerodivision_check) {
    const double a = floatval;
    double b, result;
    (void)inplace;
    (void)zerodivision_check;
    if (likely(PyFloat_CheckExact(op2))) {
        b = PyFloat_AS_DOUBLE(op2);
        
    } else
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op2))) {
        b = (double) PyInt_AS_LONG(op2);
        
    } else
    #endif
    if (likely(PyLong_CheckExact(op2))) {
        #if CYTHON_USE_PYLONG_INTERNALS
        const digit* digits = ((PyLongObject*)op2)->ob_digit;
        const Py_ssize_t size = Py_SIZE(op2);
        switch (size) {
            case  0: b = 0.0; break;
            case -1: b = -(double) digits[0]; break;
            case  1: b = (double) digits[0]; break;
            case -2:
            case 2:
                if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (1 * PyLong_SHIFT < 53))) {
                    b = (double) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if ((8 * sizeof(unsigned long) < 53) || (2 * PyLong_SHIFT < 53) || (b < (double) ((PY_LONG_LONG)1 << 53))) {
                        if (size == -2)
                            b = -b;
                        break;
                    }
                }
                CYTHON_FALLTHROUGH;
            case -3:
            case 3:
                if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (2 * PyLong_SHIFT < 53))) {
                    b = (double) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if ((8 * sizeof(unsigned long) < 53) || (3 * PyLong_SHIFT < 53) || (b < (double) ((PY_LONG_LONG)1 << 53))) {
                        if (size == -3)
                            b = -b;
                        break;
                    }
                }
                CYTHON_FALLTHROUGH;
            case -4:
            case 4:
                if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (3 * PyLong_SHIFT < 53))) {
                    b = (double) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if ((8 * sizeof(unsigned long) < 53) || (4 * PyLong_SHIFT < 53) || (b < (double) ((PY_LONG_LONG)1 << 53))) {
                        if (size == -4)
                            b = -b;
                        break;
                    }
                }
                CYTHON_FALLTHROUGH;
            default:
        #else
        {
        #endif
            b = PyLong_AsDouble(op2);
            if (unlikely(b == -1.0 && PyErr_Occurred())) return NULL;
            
        }
    } else {
        return (inplace ? PyNumber_InPlaceAdd : PyNumber_Add)(op1, op2);
    }
        
        PyFPE_START_PROTECT("add", return NULL)
        result = a + b;
        PyFPE_END_PROTECT(result)
        return PyFloat_FromDouble(result);
}
#endif

/* CalculateMetaclass */
          static PyObject *__Pyx_CalculateMetaclass(PyTypeObject *metaclass, PyObject *bases) {
    Py_ssize_t i, nbases = PyTuple_GET_SIZE(bases);
    for (i=0; i < nbases; i++) {
        PyTypeObject *tmptype;
        PyObject *tmp = PyTuple_GET_ITEM(bases, i);
        tmptype = Py_TYPE(tmp);
#if PY_MAJOR_VERSION < 3
        if (tmptype == &PyClass_Type)
            continue;
#endif
        if (!metaclass) {
            metaclass = tmptype;
            continue;
        }
        if (PyType_IsSubtype(metaclass, tmptype))
            continue;
        if (PyType_IsSubtype(tmptype, metaclass)) {
            metaclass = tmptype;
            continue;
        }
        PyErr_SetString(PyExc_TypeError,
                        "metaclass conflict: "
                        "the metaclass of a derived class "
                        "must be a (non-strict) subclass "
                        "of the metaclasses of all its bases");
        return NULL;
    }
    if (!metaclass) {
#if PY_MAJOR_VERSION < 3
        metaclass = &PyClass_Type;
#else
        metaclass = &PyType_Type;
#endif
    }
    Py_INCREF((PyObject*) metaclass);
    return (PyObject*) metaclass;
}

/* FetchCommonType */
          static PyTypeObject* __Pyx_FetchCommonType(PyTypeObject* type) {
    PyObject* fake_module;
    PyTypeObject* cached_type = NULL;
    fake_module = PyImport_AddModule((char*) "_cython_" CYTHON_ABI);
    if (!fake_module) return NULL;
    Py_INCREF(fake_module);
    cached_type = (PyTypeObject*) PyObject_GetAttrString(fake_module, type->tp_name);
    if (cached_type) {
        if (!PyType_Check((PyObject*)cached_type)) {
            PyErr_Format(PyExc_TypeError,
                "Shared Cython type %.200s is not a type object",
                type->tp_name);
            goto bad;
        }
        if (cached_type->tp_basicsize != type->tp_basicsize) {
            PyErr_Format(PyExc_TypeError,
                "Shared Cython type %.200s has the wrong size, try recompiling",
                type->tp_name);
            goto bad;
        }
    } else {
        if (!PyErr_ExceptionMatches(PyExc_AttributeError)) goto bad;
        PyErr_Clear();
        if (PyType_Ready(type) < 0) goto bad;
        if (PyObject_SetAttrString(fake_module, type->tp_name, (PyObject*) type) < 0)
            goto bad;
        Py_INCREF(type);
        cached_type = type;
    }
done:
    Py_DECREF(fake_module);
    return cached_type;
bad:
    Py_XDECREF(cached_type);
    cached_type = NULL;
    goto done;
}

/* CythonFunction */
          #include <structmember.h>
static PyObject *
__Pyx_CyFunction_get_doc(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *closure)
{
    if (unlikely(op->func_doc == NULL)) {
        if (op->func.m_ml->ml_doc) {
#if PY_MAJOR_VERSION >= 3
            op->func_doc = PyUnicode_FromString(op->func.m_ml->ml_doc);
#else
            op->func_doc = PyString_FromString(op->func.m_ml->ml_doc);
#endif
            if (unlikely(op->func_doc == NULL))
                return NULL;
        } else {
            Py_INCREF(Py_None);
            return Py_None;
        }
    }
    Py_INCREF(op->func_doc);
    return op->func_doc;
}
static int
__Pyx_CyFunction_set_doc(__pyx_CyFunctionObject *op, PyObject *value, CYTHON_UNUSED void *context)
{
    PyObject *tmp = op->func_doc;
    if (value == NULL) {
        value = Py_None;
    }
    Py_INCREF(value);
    op->func_doc = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_name(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context)
{
    if (unlikely(op->func_name == NULL)) {
#if PY_MAJOR_VERSION >= 3
        op->func_name = PyUnicode_InternFromString(op->func.m_ml->ml_name);
#else
        op->func_name = PyString_InternFromString(op->func.m_ml->ml_name);
#endif
        if (unlikely(op->func_name == NULL))
            return NULL;
    }
    Py_INCREF(op->func_name);
    return op->func_name;
}
static int
__Pyx_CyFunction_set_name(__pyx_CyFunctionObject *op, PyObject *value, CYTHON_UNUSED void *context)
{
    PyObject *tmp;
#if PY_MAJOR_VERSION >= 3
    if (unlikely(value == NULL || !PyUnicode_Check(value)))
#else
    if (unlikely(value == NULL || !PyString_Check(value)))
#endif
    {
        PyErr_SetString(PyExc_TypeError,
                        "__name__ must be set to a string object");
        return -1;
    }
    tmp = op->func_name;
    Py_INCREF(value);
    op->func_name = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_qualname(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context)
{
    Py_INCREF(op->func_qualname);
    return op->func_qualname;
}
static int
__Pyx_CyFunction_set_qualname(__pyx_CyFunctionObject *op, PyObject *value, CYTHON_UNUSED void *context)
{
    PyObject *tmp;
#if PY_MAJOR_VERSION >= 3
    if (unlikely(value == NULL || !PyUnicode_Check(value)))
#else
    if (unlikely(value == NULL || !PyString_Check(value)))
#endif
    {
        PyErr_SetString(PyExc_TypeError,
                        "__qualname__ must be set to a string object");
        return -1;
    }
    tmp = op->func_qualname;
    Py_INCREF(value);
    op->func_qualname = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_self(__pyx_CyFunctionObject *m, CYTHON_UNUSED void *closure)
{
    PyObject *self;
    self = m->func_closure;
    if (self == NULL)
        self = Py_None;
    Py_INCREF(self);
    return self;
}
static PyObject *
__Pyx_CyFunction_get_dict(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context)
{
    if (unlikely(op->func_dict == NULL)) {
        op->func_dict = PyDict_New();
        if (unlikely(op->func_dict == NULL))
            return NULL;
    }
    Py_INCREF(op->func_dict);
    return op->func_dict;
}
static int
__Pyx_CyFunction_set_dict(__pyx_CyFunctionObject *op, PyObject *value, CYTHON_UNUSED void *context)
{
    PyObject *tmp;
    if (unlikely(value == NULL)) {
        PyErr_SetString(PyExc_TypeError,
               "function's dictionary may not be deleted");
        return -1;
    }
    if (unlikely(!PyDict_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
               "setting function's dictionary to a non-dict");
        return -1;
    }
    tmp = op->func_dict;
    Py_INCREF(value);
    op->func_dict = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_globals(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context)
{
    Py_INCREF(op->func_globals);
    return op->func_globals;
}
static PyObject *
__Pyx_CyFunction_get_closure(CYTHON_UNUSED __pyx_CyFunctionObject *op, CYTHON_UNUSED void *context)
{
    Py_INCREF(Py_None);
    return Py_None;
}
static PyObject *
__Pyx_CyFunction_get_code(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context)
{
    PyObject* result = (op->func_code) ? op->func_code : Py_None;
    Py_INCREF(result);
    return result;
}
static int
__Pyx_CyFunction_init_defaults(__pyx_CyFunctionObject *op) {
    int result = 0;
    PyObject *res = op->defaults_getter((PyObject *) op);
    if (unlikely(!res))
        return -1;
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    op->defaults_tuple = PyTuple_GET_ITEM(res, 0);
    Py_INCREF(op->defaults_tuple);
    op->defaults_kwdict = PyTuple_GET_ITEM(res, 1);
    Py_INCREF(op->defaults_kwdict);
    #else
    op->defaults_tuple = PySequence_ITEM(res, 0);
    if (unlikely(!op->defaults_tuple)) result = -1;
    else {
        op->defaults_kwdict = PySequence_ITEM(res, 1);
        if (unlikely(!op->defaults_kwdict)) result = -1;
    }
    #endif
    Py_DECREF(res);
    return result;
}
static int
__Pyx_CyFunction_set_defaults(__pyx_CyFunctionObject *op, PyObject* value, CYTHON_UNUSED void *context) {
    PyObject* tmp;
    if (!value) {
        value = Py_None;
    } else if (value != Py_None && !PyTuple_Check(value)) {
        PyErr_SetString(PyExc_TypeError,
                        "__defaults__ must be set to a tuple object");
        return -1;
    }
    Py_INCREF(value);
    tmp = op->defaults_tuple;
    op->defaults_tuple = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_defaults(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context) {
    PyObject* result = op->defaults_tuple;
    if (unlikely(!result)) {
        if (op->defaults_getter) {
            if (__Pyx_CyFunction_init_defaults(op) < 0) return NULL;
            result = op->defaults_tuple;
        } else {
            result = Py_None;
        }
    }
    Py_INCREF(result);
    return result;
}
static int
__Pyx_CyFunction_set_kwdefaults(__pyx_CyFunctionObject *op, PyObject* value, CYTHON_UNUSED void *context) {
    PyObject* tmp;
    if (!value) {
        value = Py_None;
    } else if (value != Py_None && !PyDict_Check(value)) {
        PyErr_SetString(PyExc_TypeError,
                        "__kwdefaults__ must be set to a dict object");
        return -1;
    }
    Py_INCREF(value);
    tmp = op->defaults_kwdict;
    op->defaults_kwdict = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_kwdefaults(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context) {
    PyObject* result = op->defaults_kwdict;
    if (unlikely(!result)) {
        if (op->defaults_getter) {
            if (__Pyx_CyFunction_init_defaults(op) < 0) return NULL;
            result = op->defaults_kwdict;
        } else {
            result = Py_None;
        }
    }
    Py_INCREF(result);
    return result;
}
static int
__Pyx_CyFunction_set_annotations(__pyx_CyFunctionObject *op, PyObject* value, CYTHON_UNUSED void *context) {
    PyObject* tmp;
    if (!value || value == Py_None) {
        value = NULL;
    } else if (!PyDict_Check(value)) {
        PyErr_SetString(PyExc_TypeError,
                        "__annotations__ must be set to a dict object");
        return -1;
    }
    Py_XINCREF(value);
    tmp = op->func_annotations;
    op->func_annotations = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_annotations(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context) {
    PyObject* result = op->func_annotations;
    if (unlikely(!result)) {
        result = PyDict_New();
        if (unlikely(!result)) return NULL;
        op->func_annotations = result;
    }
    Py_INCREF(result);
    return result;
}
static PyGetSetDef __pyx_CyFunction_getsets[] = {
    {(char *) "func_doc", (getter)__Pyx_CyFunction_get_doc, (setter)__Pyx_CyFunction_set_doc, 0, 0},
    {(char *) "__doc__",  (getter)__Pyx_CyFunction_get_doc, (setter)__Pyx_CyFunction_set_doc, 0, 0},
    {(char *) "func_name", (getter)__Pyx_CyFunction_get_name, (setter)__Pyx_CyFunction_set_name, 0, 0},
    {(char *) "__name__", (getter)__Pyx_CyFunction_get_name, (setter)__Pyx_CyFunction_set_name, 0, 0},
    {(char *) "__qualname__", (getter)__Pyx_CyFunction_get_qualname, (setter)__Pyx_CyFunction_set_qualname, 0, 0},
    {(char *) "__self__", (getter)__Pyx_CyFunction_get_self, 0, 0, 0},
    {(char *) "func_dict", (getter)__Pyx_CyFunction_get_dict, (setter)__Pyx_CyFunction_set_dict, 0, 0},
    {(char *) "__dict__", (getter)__Pyx_CyFunction_get_dict, (setter)__Pyx_CyFunction_set_dict, 0, 0},
    {(char *) "func_globals", (getter)__Pyx_CyFunction_get_globals, 0, 0, 0},
    {(char *) "__globals__", (getter)__Pyx_CyFunction_get_globals, 0, 0, 0},
    {(char *) "func_closure", (getter)__Pyx_CyFunction_get_closure, 0, 0, 0},
    {(char *) "__closure__", (getter)__Pyx_CyFunction_get_closure, 0, 0, 0},
    {(char *) "func_code", (getter)__Pyx_CyFunction_get_code, 0, 0, 0},
    {(char *) "__code__", (getter)__Pyx_CyFunction_get_code, 0, 0, 0},
    {(char *) "func_defaults", (getter)__Pyx_CyFunction_get_defaults, (setter)__Pyx_CyFunction_set_defaults, 0, 0},
    {(char *) "__defaults__", (getter)__Pyx_CyFunction_get_defaults, (setter)__Pyx_CyFunction_set_defaults, 0, 0},
    {(char *) "__kwdefaults__", (getter)__Pyx_CyFunction_get_kwdefaults, (setter)__Pyx_CyFunction_set_kwdefaults, 0, 0},
    {(char *) "__annotations__", (getter)__Pyx_CyFunction_get_annotations, (setter)__Pyx_CyFunction_set_annotations, 0, 0},
    {0, 0, 0, 0, 0}
};
static PyMemberDef __pyx_CyFunction_members[] = {
    {(char *) "__module__", T_OBJECT, offsetof(PyCFunctionObject, m_module), PY_WRITE_RESTRICTED, 0},
    {0, 0, 0,  0, 0}
};
static PyObject *
__Pyx_CyFunction_reduce(__pyx_CyFunctionObject *m, CYTHON_UNUSED PyObject *args)
{
#if PY_MAJOR_VERSION >= 3
    return PyUnicode_FromString(m->func.m_ml->ml_name);
#else
    return PyString_FromString(m->func.m_ml->ml_name);
#endif
}
static PyMethodDef __pyx_CyFunction_methods[] = {
    {"__reduce__", (PyCFunction)__Pyx_CyFunction_reduce, METH_VARARGS, 0},
    {0, 0, 0, 0}
};
#if PY_VERSION_HEX < 0x030500A0
#define __Pyx_CyFunction_weakreflist(cyfunc) ((cyfunc)->func_weakreflist)
#else
#define __Pyx_CyFunction_weakreflist(cyfunc) ((cyfunc)->func.m_weakreflist)
#endif
static PyObject *__Pyx_CyFunction_New(PyTypeObject *type, PyMethodDef *ml, int flags, PyObject* qualname,
                                      PyObject *closure, PyObject *module, PyObject* globals, PyObject* code) {
    __pyx_CyFunctionObject *op = PyObject_GC_New(__pyx_CyFunctionObject, type);
    if (op == NULL)
        return NULL;
    op->flags = flags;
    __Pyx_CyFunction_weakreflist(op) = NULL;
    op->func.m_ml = ml;
    op->func.m_self = (PyObject *) op;
    Py_XINCREF(closure);
    op->func_closure = closure;
    Py_XINCREF(module);
    op->func.m_module = module;
    op->func_dict = NULL;
    op->func_name = NULL;
    Py_INCREF(qualname);
    op->func_qualname = qualname;
    op->func_doc = NULL;
    op->func_classobj = NULL;
    op->func_globals = globals;
    Py_INCREF(op->func_globals);
    Py_XINCREF(code);
    op->func_code = code;
    op->defaults_pyobjects = 0;
    op->defaults = NULL;
    op->defaults_tuple = NULL;
    op->defaults_kwdict = NULL;
    op->defaults_getter = NULL;
    op->func_annotations = NULL;
    PyObject_GC_Track(op);
    return (PyObject *) op;
}
static int
__Pyx_CyFunction_clear(__pyx_CyFunctionObject *m)
{
    Py_CLEAR(m->func_closure);
    Py_CLEAR(m->func.m_module);
    Py_CLEAR(m->func_dict);
    Py_CLEAR(m->func_name);
    Py_CLEAR(m->func_qualname);
    Py_CLEAR(m->func_doc);
    Py_CLEAR(m->func_globals);
    Py_CLEAR(m->func_code);
    Py_CLEAR(m->func_classobj);
    Py_CLEAR(m->defaults_tuple);
    Py_CLEAR(m->defaults_kwdict);
    Py_CLEAR(m->func_annotations);
    if (m->defaults) {
        PyObject **pydefaults = __Pyx_CyFunction_Defaults(PyObject *, m);
        int i;
        for (i = 0; i < m->defaults_pyobjects; i++)
            Py_XDECREF(pydefaults[i]);
        PyObject_Free(m->defaults);
        m->defaults = NULL;
    }
    return 0;
}
static void __Pyx__CyFunction_dealloc(__pyx_CyFunctionObject *m)
{
    if (__Pyx_CyFunction_weakreflist(m) != NULL)
        PyObject_ClearWeakRefs((PyObject *) m);
    __Pyx_CyFunction_clear(m);
    PyObject_GC_Del(m);
}
static void __Pyx_CyFunction_dealloc(__pyx_CyFunctionObject *m)
{
    PyObject_GC_UnTrack(m);
    __Pyx__CyFunction_dealloc(m);
}
static int __Pyx_CyFunction_traverse(__pyx_CyFunctionObject *m, visitproc visit, void *arg)
{
    Py_VISIT(m->func_closure);
    Py_VISIT(m->func.m_module);
    Py_VISIT(m->func_dict);
    Py_VISIT(m->func_name);
    Py_VISIT(m->func_qualname);
    Py_VISIT(m->func_doc);
    Py_VISIT(m->func_globals);
    Py_VISIT(m->func_code);
    Py_VISIT(m->func_classobj);
    Py_VISIT(m->defaults_tuple);
    Py_VISIT(m->defaults_kwdict);
    if (m->defaults) {
        PyObject **pydefaults = __Pyx_CyFunction_Defaults(PyObject *, m);
        int i;
        for (i = 0; i < m->defaults_pyobjects; i++)
            Py_VISIT(pydefaults[i]);
    }
    return 0;
}
static PyObject *__Pyx_CyFunction_descr_get(PyObject *func, PyObject *obj, PyObject *type)
{
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    if (m->flags & __Pyx_CYFUNCTION_STATICMETHOD) {
        Py_INCREF(func);
        return func;
    }
    if (m->flags & __Pyx_CYFUNCTION_CLASSMETHOD) {
        if (type == NULL)
            type = (PyObject *)(Py_TYPE(obj));
        return __Pyx_PyMethod_New(func, type, (PyObject *)(Py_TYPE(type)));
    }
    if (obj == Py_None)
        obj = NULL;
    return __Pyx_PyMethod_New(func, obj, type);
}
static PyObject*
__Pyx_CyFunction_repr(__pyx_CyFunctionObject *op)
{
#if PY_MAJOR_VERSION >= 3
    return PyUnicode_FromFormat("<cyfunction %U at %p>",
                                op->func_qualname, (void *)op);
#else
    return PyString_FromFormat("<cyfunction %s at %p>",
                               PyString_AsString(op->func_qualname), (void *)op);
#endif
}
static PyObject * __Pyx_CyFunction_CallMethod(PyObject *func, PyObject *self, PyObject *arg, PyObject *kw) {
    PyCFunctionObject* f = (PyCFunctionObject*)func;
    PyCFunction meth = f->m_ml->ml_meth;
    Py_ssize_t size;
    switch (f->m_ml->ml_flags & (METH_VARARGS | METH_KEYWORDS | METH_NOARGS | METH_O)) {
    case METH_VARARGS:
        if (likely(kw == NULL || PyDict_Size(kw) == 0))
            return (*meth)(self, arg);
        break;
    case METH_VARARGS | METH_KEYWORDS:
        return (*(PyCFunctionWithKeywords)(void*)meth)(self, arg, kw);
    case METH_NOARGS:
        if (likely(kw == NULL || PyDict_Size(kw) == 0)) {
            size = PyTuple_GET_SIZE(arg);
            if (likely(size == 0))
                return (*meth)(self, NULL);
            PyErr_Format(PyExc_TypeError,
                "%.200s() takes no arguments (%" CYTHON_FORMAT_SSIZE_T "d given)",
                f->m_ml->ml_name, size);
            return NULL;
        }
        break;
    case METH_O:
        if (likely(kw == NULL || PyDict_Size(kw) == 0)) {
            size = PyTuple_GET_SIZE(arg);
            if (likely(size == 1)) {
                PyObject *result, *arg0;
                #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
                arg0 = PyTuple_GET_ITEM(arg, 0);
                #else
                arg0 = PySequence_ITEM(arg, 0); if (unlikely(!arg0)) return NULL;
                #endif
                result = (*meth)(self, arg0);
                #if !(CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS)
                Py_DECREF(arg0);
                #endif
                return result;
            }
            PyErr_Format(PyExc_TypeError,
                "%.200s() takes exactly one argument (%" CYTHON_FORMAT_SSIZE_T "d given)",
                f->m_ml->ml_name, size);
            return NULL;
        }
        break;
    default:
        PyErr_SetString(PyExc_SystemError, "Bad call flags in "
                        "__Pyx_CyFunction_Call. METH_OLDARGS is no "
                        "longer supported!");
        return NULL;
    }
    PyErr_Format(PyExc_TypeError, "%.200s() takes no keyword arguments",
                 f->m_ml->ml_name);
    return NULL;
}
static CYTHON_INLINE PyObject *__Pyx_CyFunction_Call(PyObject *func, PyObject *arg, PyObject *kw) {
    return __Pyx_CyFunction_CallMethod(func, ((PyCFunctionObject*)func)->m_self, arg, kw);
}
static PyObject *__Pyx_CyFunction_CallAsMethod(PyObject *func, PyObject *args, PyObject *kw) {
    PyObject *result;
    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *) func;
    if ((cyfunc->flags & __Pyx_CYFUNCTION_CCLASS) && !(cyfunc->flags & __Pyx_CYFUNCTION_STATICMETHOD)) {
        Py_ssize_t argc;
        PyObject *new_args;
        PyObject *self;
        argc = PyTuple_GET_SIZE(args);
        new_args = PyTuple_GetSlice(args, 1, argc);
        if (unlikely(!new_args))
            return NULL;
        self = PyTuple_GetItem(args, 0);
        if (unlikely(!self)) {
            Py_DECREF(new_args);
            return NULL;
        }
        result = __Pyx_CyFunction_CallMethod(func, self, new_args, kw);
        Py_DECREF(new_args);
    } else {
        result = __Pyx_CyFunction_Call(func, args, kw);
    }
    return result;
}
static PyTypeObject __pyx_CyFunctionType_type = {
    PyVarObject_HEAD_INIT(0, 0)
    "cython_function_or_method",
    sizeof(__pyx_CyFunctionObject),
    0,
    (destructor) __Pyx_CyFunction_dealloc,
    0,
    0,
    0,
#if PY_MAJOR_VERSION < 3
    0,
#else
    0,
#endif
    (reprfunc) __Pyx_CyFunction_repr,
    0,
    0,
    0,
    0,
    __Pyx_CyFunction_CallAsMethod,
    0,
    0,
    0,
    0,
    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC,
    0,
    (traverseproc) __Pyx_CyFunction_traverse,
    (inquiry) __Pyx_CyFunction_clear,
    0,
#if PY_VERSION_HEX < 0x030500A0
    offsetof(__pyx_CyFunctionObject, func_weakreflist),
#else
    offsetof(PyCFunctionObject, m_weakreflist),
#endif
    0,
    0,
    __pyx_CyFunction_methods,
    __pyx_CyFunction_members,
    __pyx_CyFunction_getsets,
    0,
    0,
    __Pyx_CyFunction_descr_get,
    0,
    offsetof(__pyx_CyFunctionObject, func_dict),
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
#if PY_VERSION_HEX >= 0x030400a1
    0,
#endif
#if PY_VERSION_HEX >= 0x030800b1
    0,
#endif
#if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
    0,
#endif
};
static int __pyx_CyFunction_init(void) {
    __pyx_CyFunctionType = __Pyx_FetchCommonType(&__pyx_CyFunctionType_type);
    if (unlikely(__pyx_CyFunctionType == NULL)) {
        return -1;
    }
    return 0;
}
static CYTHON_INLINE void *__Pyx_CyFunction_InitDefaults(PyObject *func, size_t size, int pyobjects) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults = PyObject_Malloc(size);
    if (unlikely(!m->defaults))
        return PyErr_NoMemory();
    memset(m->defaults, 0, size);
    m->defaults_pyobjects = pyobjects;
    return m->defaults;
}
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsTuple(PyObject *func, PyObject *tuple) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults_tuple = tuple;
    Py_INCREF(tuple);
}
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsKwDict(PyObject *func, PyObject *dict) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults_kwdict = dict;
    Py_INCREF(dict);
}
static CYTHON_INLINE void __Pyx_CyFunction_SetAnnotationsDict(PyObject *func, PyObject *dict) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->func_annotations = dict;
    Py_INCREF(dict);
}

/* Py3ClassCreate */
          static PyObject *__Pyx_Py3MetaclassPrepare(PyObject *metaclass, PyObject *bases, PyObject *name,
                                           PyObject *qualname, PyObject *mkw, PyObject *modname, PyObject *doc) {
    PyObject *ns;
    if (metaclass) {
        PyObject *prep = __Pyx_PyObject_GetAttrStr(metaclass, __pyx_n_s_prepare);
        if (prep) {
            PyObject *pargs = PyTuple_Pack(2, name, bases);
            if (unlikely(!pargs)) {
                Py_DECREF(prep);
                return NULL;
            }
            ns = PyObject_Call(prep, pargs, mkw);
            Py_DECREF(prep);
            Py_DECREF(pargs);
        } else {
            if (unlikely(!PyErr_ExceptionMatches(PyExc_AttributeError)))
                return NULL;
            PyErr_Clear();
            ns = PyDict_New();
        }
    } else {
        ns = PyDict_New();
    }
    if (unlikely(!ns))
        return NULL;
    if (unlikely(PyObject_SetItem(ns, __pyx_n_s_module, modname) < 0)) goto bad;
    if (unlikely(PyObject_SetItem(ns, __pyx_n_s_qualname, qualname) < 0)) goto bad;
    if (unlikely(doc && PyObject_SetItem(ns, __pyx_n_s_doc, doc) < 0)) goto bad;
    return ns;
bad:
    Py_DECREF(ns);
    return NULL;
}
static PyObject *__Pyx_Py3ClassCreate(PyObject *metaclass, PyObject *name, PyObject *bases,
                                      PyObject *dict, PyObject *mkw,
                                      int calculate_metaclass, int allow_py2_metaclass) {
    PyObject *result, *margs;
    PyObject *owned_metaclass = NULL;
    if (allow_py2_metaclass) {
        owned_metaclass = PyObject_GetItem(dict, __pyx_n_s_metaclass);
        if (owned_metaclass) {
            metaclass = owned_metaclass;
        } else if (likely(PyErr_ExceptionMatches(PyExc_KeyError))) {
            PyErr_Clear();
        } else {
            return NULL;
        }
    }
    if (calculate_metaclass && (!metaclass || PyType_Check(metaclass))) {
        metaclass = __Pyx_CalculateMetaclass((PyTypeObject*) metaclass, bases);
        Py_XDECREF(owned_metaclass);
        if (unlikely(!metaclass))
            return NULL;
        owned_metaclass = metaclass;
    }
    margs = PyTuple_Pack(3, name, bases, dict);
    if (unlikely(!margs)) {
        result = NULL;
    } else {
        result = PyObject_Call(metaclass, margs, mkw);
        Py_DECREF(margs);
    }
    Py_XDECREF(owned_metaclass);
    return result;
}

/* FusedFunction */
          static PyObject *
__pyx_FusedFunction_New(PyTypeObject *type, PyMethodDef *ml, int flags,
                        PyObject *qualname, PyObject *self,
                        PyObject *module, PyObject *globals,
                        PyObject *code)
{
    __pyx_FusedFunctionObject *fusedfunc =
        (__pyx_FusedFunctionObject *) __Pyx_CyFunction_New(type, ml, flags, qualname,
                                                           self, module, globals, code);
    if (!fusedfunc)
        return NULL;
    fusedfunc->__signatures__ = NULL;
    fusedfunc->type = NULL;
    fusedfunc->self = NULL;
    return (PyObject *) fusedfunc;
}
static void
__pyx_FusedFunction_dealloc(__pyx_FusedFunctionObject *self)
{
    PyObject_GC_UnTrack(self);
    Py_CLEAR(self->self);
    Py_CLEAR(self->type);
    Py_CLEAR(self->__signatures__);
    __Pyx__CyFunction_dealloc((__pyx_CyFunctionObject *) self);
}
static int
__pyx_FusedFunction_traverse(__pyx_FusedFunctionObject *self,
                             visitproc visit,
                             void *arg)
{
    Py_VISIT(self->self);
    Py_VISIT(self->type);
    Py_VISIT(self->__signatures__);
    return __Pyx_CyFunction_traverse((__pyx_CyFunctionObject *) self, visit, arg);
}
static int
__pyx_FusedFunction_clear(__pyx_FusedFunctionObject *self)
{
    Py_CLEAR(self->self);
    Py_CLEAR(self->type);
    Py_CLEAR(self->__signatures__);
    return __Pyx_CyFunction_clear((__pyx_CyFunctionObject *) self);
}
static PyObject *
__pyx_FusedFunction_descr_get(PyObject *self, PyObject *obj, PyObject *type)
{
    __pyx_FusedFunctionObject *func, *meth;
    func = (__pyx_FusedFunctionObject *) self;
    if (func->self || func->func.flags & __Pyx_CYFUNCTION_STATICMETHOD) {
        Py_INCREF(self);
        return self;
    }
    if (obj == Py_None)
        obj = NULL;
    meth = (__pyx_FusedFunctionObject *) __pyx_FusedFunction_NewEx(
                    ((PyCFunctionObject *) func)->m_ml,
                    ((__pyx_CyFunctionObject *) func)->flags,
                    ((__pyx_CyFunctionObject *) func)->func_qualname,
                    ((__pyx_CyFunctionObject *) func)->func_closure,
                    ((PyCFunctionObject *) func)->m_module,
                    ((__pyx_CyFunctionObject *) func)->func_globals,
                    ((__pyx_CyFunctionObject *) func)->func_code);
    if (!meth)
        return NULL;
    Py_XINCREF(func->func.func_classobj);
    meth->func.func_classobj = func->func.func_classobj;
    Py_XINCREF(func->__signatures__);
    meth->__signatures__ = func->__signatures__;
    Py_XINCREF(type);
    meth->type = type;
    Py_XINCREF(func->func.defaults_tuple);
    meth->func.defaults_tuple = func->func.defaults_tuple;
    if (func->func.flags & __Pyx_CYFUNCTION_CLASSMETHOD)
        obj = type;
    Py_XINCREF(obj);
    meth->self = obj;
    return (PyObject *) meth;
}
static PyObject *
_obj_to_str(PyObject *obj)
{
    if (PyType_Check(obj))
        return PyObject_GetAttr(obj, __pyx_n_s_name_2);
    else
        return PyObject_Str(obj);
}
static PyObject *
__pyx_FusedFunction_getitem(__pyx_FusedFunctionObject *self, PyObject *idx)
{
    PyObject *signature = NULL;
    PyObject *unbound_result_func;
    PyObject *result_func = NULL;
    if (self->__signatures__ == NULL) {
        PyErr_SetString(PyExc_TypeError, "Function is not fused");
        return NULL;
    }
    if (PyTuple_Check(idx)) {
        PyObject *list = PyList_New(0);
        Py_ssize_t n = PyTuple_GET_SIZE(idx);
        PyObject *string = NULL;
        PyObject *sep = NULL;
        int i;
        if (!list)
            return NULL;
        for (i = 0; i < n; i++) {
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
            PyObject *item = PyTuple_GET_ITEM(idx, i);
#else
            PyObject *item = PySequence_ITEM(idx, i);
#endif
            string = _obj_to_str(item);
#if !(CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS)
            Py_DECREF(item);
#endif
            if (!string || PyList_Append(list, string) < 0)
                goto __pyx_err;
            Py_DECREF(string);
        }
        sep = PyUnicode_FromString("|");
        if (sep)
            signature = PyUnicode_Join(sep, list);
__pyx_err:
;
        Py_DECREF(list);
        Py_XDECREF(sep);
    } else {
        signature = _obj_to_str(idx);
    }
    if (!signature)
        return NULL;
    unbound_result_func = PyObject_GetItem(self->__signatures__, signature);
    if (unbound_result_func) {
        if (self->self || self->type) {
            __pyx_FusedFunctionObject *unbound = (__pyx_FusedFunctionObject *) unbound_result_func;
            Py_CLEAR(unbound->func.func_classobj);
            Py_XINCREF(self->func.func_classobj);
            unbound->func.func_classobj = self->func.func_classobj;
            result_func = __pyx_FusedFunction_descr_get(unbound_result_func,
                                                        self->self, self->type);
        } else {
            result_func = unbound_result_func;
            Py_INCREF(result_func);
        }
    }
    Py_DECREF(signature);
    Py_XDECREF(unbound_result_func);
    return result_func;
}
static PyObject *
__pyx_FusedFunction_callfunction(PyObject *func, PyObject *args, PyObject *kw)
{
     __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *) func;
    int static_specialized = (cyfunc->flags & __Pyx_CYFUNCTION_STATICMETHOD &&
                              !((__pyx_FusedFunctionObject *) func)->__signatures__);
    if (cyfunc->flags & __Pyx_CYFUNCTION_CCLASS && !static_specialized) {
        return __Pyx_CyFunction_CallAsMethod(func, args, kw);
    } else {
        return __Pyx_CyFunction_Call(func, args, kw);
    }
}
static PyObject *
__pyx_FusedFunction_call(PyObject *func, PyObject *args, PyObject *kw)
{
    __pyx_FusedFunctionObject *binding_func = (__pyx_FusedFunctionObject *) func;
    Py_ssize_t argc = PyTuple_GET_SIZE(args);
    PyObject *new_args = NULL;
    __pyx_FusedFunctionObject *new_func = NULL;
    PyObject *result = NULL;
    PyObject *self = NULL;
    int is_staticmethod = binding_func->func.flags & __Pyx_CYFUNCTION_STATICMETHOD;
    int is_classmethod = binding_func->func.flags & __Pyx_CYFUNCTION_CLASSMETHOD;
    if (binding_func->self) {
        Py_ssize_t i;
        new_args = PyTuple_New(argc + 1);
        if (!new_args)
            return NULL;
        self = binding_func->self;
#if !(CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS)
        Py_INCREF(self);
#endif
        Py_INCREF(self);
        PyTuple_SET_ITEM(new_args, 0, self);
        for (i = 0; i < argc; i++) {
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
            PyObject *item = PyTuple_GET_ITEM(args, i);
            Py_INCREF(item);
#else
            PyObject *item = PySequence_ITEM(args, i);  if (unlikely(!item)) goto bad;
#endif
            PyTuple_SET_ITEM(new_args, i + 1, item);
        }
        args = new_args;
    } else if (binding_func->type) {
        if (argc < 1) {
            PyErr_SetString(PyExc_TypeError, "Need at least one argument, 0 given.");
            return NULL;
        }
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
        self = PyTuple_GET_ITEM(args, 0);
#else
        self = PySequence_ITEM(args, 0);  if (unlikely(!self)) return NULL;
#endif
    }
    if (self && !is_classmethod && !is_staticmethod) {
        int is_instance = PyObject_IsInstance(self, binding_func->type);
        if (unlikely(!is_instance)) {
            PyErr_Format(PyExc_TypeError,
                         "First argument should be of type %.200s, got %.200s.",
                         ((PyTypeObject *) binding_func->type)->tp_name,
                         self->ob_type->tp_name);
            goto bad;
        } else if (unlikely(is_instance == -1)) {
            goto bad;
        }
    }
#if !(CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS)
    Py_XDECREF(self);
    self = NULL;
#endif
    if (binding_func->__signatures__) {
        PyObject *tup;
        if (is_staticmethod && binding_func->func.flags & __Pyx_CYFUNCTION_CCLASS) {
            tup = PyTuple_Pack(3, args,
                               kw == NULL ? Py_None : kw,
                               binding_func->func.defaults_tuple);
            if (unlikely(!tup)) goto bad;
            new_func = (__pyx_FusedFunctionObject *) __Pyx_CyFunction_CallMethod(
                func, binding_func->__signatures__, tup, NULL);
        } else {
            tup = PyTuple_Pack(4, binding_func->__signatures__, args,
                               kw == NULL ? Py_None : kw,
                               binding_func->func.defaults_tuple);
            if (unlikely(!tup)) goto bad;
            new_func = (__pyx_FusedFunctionObject *) __pyx_FusedFunction_callfunction(func, tup, NULL);
        }
        Py_DECREF(tup);
        if (unlikely(!new_func))
            goto bad;
        Py_XINCREF(binding_func->func.func_classobj);
        Py_CLEAR(new_func->func.func_classobj);
        new_func->func.func_classobj = binding_func->func.func_classobj;
        func = (PyObject *) new_func;
    }
    result = __pyx_FusedFunction_callfunction(func, args, kw);
bad:
#if !(CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS)
    Py_XDECREF(self);
#endif
    Py_XDECREF(new_args);
    Py_XDECREF((PyObject *) new_func);
    return result;
}
static PyMemberDef __pyx_FusedFunction_members[] = {
    {(char *) "__signatures__",
     T_OBJECT,
     offsetof(__pyx_FusedFunctionObject, __signatures__),
     READONLY,
     0},
    {0, 0, 0, 0, 0},
};
static PyMappingMethods __pyx_FusedFunction_mapping_methods = {
    0,
    (binaryfunc) __pyx_FusedFunction_getitem,
    0,
};
static PyTypeObject __pyx_FusedFunctionType_type = {
    PyVarObject_HEAD_INIT(0, 0)
    "fused_cython_function",
    sizeof(__pyx_FusedFunctionObject),
    0,
    (destructor) __pyx_FusedFunction_dealloc,
    0,
    0,
    0,
#if PY_MAJOR_VERSION < 3
    0,
#else
    0,
#endif
    0,
    0,
    0,
    &__pyx_FusedFunction_mapping_methods,
    0,
    (ternaryfunc) __pyx_FusedFunction_call,
    0,
    0,
    0,
    0,
    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC | Py_TPFLAGS_BASETYPE,
    0,
    (traverseproc) __pyx_FusedFunction_traverse,
    (inquiry) __pyx_FusedFunction_clear,
    0,
    0,
    0,
    0,
    0,
    __pyx_FusedFunction_members,
    __pyx_CyFunction_getsets,
    &__pyx_CyFunctionType_type,
    0,
    __pyx_FusedFunction_descr_get,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
#if PY_VERSION_HEX >= 0x030400a1
    0,
#endif
#if PY_VERSION_HEX >= 0x030800b1
    0,
#endif
#if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
    0,
#endif
};
static int __pyx_FusedFunction_init(void) {
    __pyx_FusedFunctionType = __Pyx_FetchCommonType(&__pyx_FusedFunctionType_type);
    if (__pyx_FusedFunctionType == NULL) {
        return -1;
    }
    return 0;
}

/* CLineInTraceback */
          #ifndef CYTHON_CLINE_IN_TRACEBACK
static int __Pyx_CLineForTraceback(PyThreadState *tstate, int c_line) {
    PyObject *use_cline;
    PyObject *ptype, *pvalue, *ptraceback;
#if CYTHON_COMPILING_IN_CPYTHON
    PyObject **cython_runtime_dict;
#endif
    if (unlikely(!__pyx_cython_runtime)) {
        return c_line;
    }
    __Pyx_ErrFetchInState(tstate, &ptype, &pvalue, &ptraceback);
#if CYTHON_COMPILING_IN_CPYTHON
    cython_runtime_dict = _PyObject_GetDictPtr(__pyx_cython_runtime);
    if (likely(cython_runtime_dict)) {
        __PYX_PY_DICT_LOOKUP_IF_MODIFIED(
            use_cline, *cython_runtime_dict,
            __Pyx_PyDict_GetItemStr(*cython_runtime_dict, __pyx_n_s_cline_in_traceback))
    } else
#endif
    {
      PyObject *use_cline_obj = __Pyx_PyObject_GetAttrStr(__pyx_cython_runtime, __pyx_n_s_cline_in_traceback);
      if (use_cline_obj) {
        use_cline = PyObject_Not(use_cline_obj) ? Py_False : Py_True;
        Py_DECREF(use_cline_obj);
      } else {
        PyErr_Clear();
        use_cline = NULL;
      }
    }
    if (!use_cline) {
        c_line = 0;
        PyObject_SetAttr(__pyx_cython_runtime, __pyx_n_s_cline_in_traceback, Py_False);
    }
    else if (use_cline == Py_False || (use_cline != Py_True && PyObject_Not(use_cline) != 0)) {
        c_line = 0;
    }
    __Pyx_ErrRestoreInState(tstate, ptype, pvalue, ptraceback);
    return c_line;
}
#endif

/* CodeObjectCache */
          static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line) {
    int start = 0, mid = 0, end = count - 1;
    if (end >= 0 && code_line > entries[end].code_line) {
        return count;
    }
    while (start < end) {
        mid = start + (end - start) / 2;
        if (code_line < entries[mid].code_line) {
            end = mid;
        } else if (code_line > entries[mid].code_line) {
             start = mid + 1;
        } else {
            return mid;
        }
    }
    if (code_line <= entries[mid].code_line) {
        return mid;
    } else {
        return mid + 1;
    }
}
static PyCodeObject *__pyx_find_code_object(int code_line) {
    PyCodeObject* code_object;
    int pos;
    if (unlikely(!code_line) || unlikely(!__pyx_code_cache.entries)) {
        return NULL;
    }
    pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line);
    if (unlikely(pos >= __pyx_code_cache.count) || unlikely(__pyx_code_cache.entries[pos].code_line != code_line)) {
        return NULL;
    }
    code_object = __pyx_code_cache.entries[pos].code_object;
    Py_INCREF(code_object);
    return code_object;
}
static void __pyx_insert_code_object(int code_line, PyCodeObject* code_object) {
    int pos, i;
    __Pyx_CodeObjectCacheEntry* entries = __pyx_code_cache.entries;
    if (unlikely(!code_line)) {
        return;
    }
    if (unlikely(!entries)) {
        entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Malloc(64*sizeof(__Pyx_CodeObjectCacheEntry));
        if (likely(entries)) {
            __pyx_code_cache.entries = entries;
            __pyx_code_cache.max_count = 64;
            __pyx_code_cache.count = 1;
            entries[0].code_line = code_line;
            entries[0].code_object = code_object;
            Py_INCREF(code_object);
        }
        return;
    }
    pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line);
    if ((pos < __pyx_code_cache.count) && unlikely(__pyx_code_cache.entries[pos].code_line == code_line)) {
        PyCodeObject* tmp = entries[pos].code_object;
        entries[pos].code_object = code_object;
        Py_DECREF(tmp);
        return;
    }
    if (__pyx_code_cache.count == __pyx_code_cache.max_count) {
        int new_max = __pyx_code_cache.max_count + 64;
        entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Realloc(
            __pyx_code_cache.entries, (size_t)new_max*sizeof(__Pyx_CodeObjectCacheEntry));
        if (unlikely(!entries)) {
            return;
        }
        __pyx_code_cache.entries = entries;
        __pyx_code_cache.max_count = new_max;
    }
    for (i=__pyx_code_cache.count; i>pos; i--) {
        entries[i] = entries[i-1];
    }
    entries[pos].code_line = code_line;
    entries[pos].code_object = code_object;
    __pyx_code_cache.count++;
    Py_INCREF(code_object);
}

/* AddTraceback */
          #include "compile.h"
#include "frameobject.h"
#include "traceback.h"
static PyCodeObject* __Pyx_CreateCodeObjectForTraceback(
            const char *funcname, int c_line,
            int py_line, const char *filename) {
    PyCodeObject *py_code = 0;
    PyObject *py_srcfile = 0;
    PyObject *py_funcname = 0;
    #if PY_MAJOR_VERSION < 3
    py_srcfile = PyString_FromString(filename);
    #else
    py_srcfile = PyUnicode_FromString(filename);
    #endif
    if (!py_srcfile) goto bad;
    if (c_line) {
        #if PY_MAJOR_VERSION < 3
        py_funcname = PyString_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
        #else
        py_funcname = PyUnicode_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
        #endif
    }
    else {
        #if PY_MAJOR_VERSION < 3
        py_funcname = PyString_FromString(funcname);
        #else
        py_funcname = PyUnicode_FromString(funcname);
        #endif
    }
    if (!py_funcname) goto bad;
    py_code = __Pyx_PyCode_New(
        0,
        0,
        0,
        0,
        0,
        __pyx_empty_bytes, /*PyObject *code,*/
        __pyx_empty_tuple, /*PyObject *consts,*/
        __pyx_empty_tuple, /*PyObject *names,*/
        __pyx_empty_tuple, /*PyObject *varnames,*/
        __pyx_empty_tuple, /*PyObject *freevars,*/
        __pyx_empty_tuple, /*PyObject *cellvars,*/
        py_srcfile,   /*PyObject *filename,*/
        py_funcname,  /*PyObject *name,*/
        py_line,
        __pyx_empty_bytes  /*PyObject *lnotab*/
    );
    Py_DECREF(py_srcfile);
    Py_DECREF(py_funcname);
    return py_code;
bad:
    Py_XDECREF(py_srcfile);
    Py_XDECREF(py_funcname);
    return NULL;
}
static void __Pyx_AddTraceback(const char *funcname, int c_line,
                               int py_line, const char *filename) {
    PyCodeObject *py_code = 0;
    PyFrameObject *py_frame = 0;
    PyThreadState *tstate = __Pyx_PyThreadState_Current;
    if (c_line) {
        c_line = __Pyx_CLineForTraceback(tstate, c_line);
    }
    py_code = __pyx_find_code_object(c_line ? -c_line : py_line);
    if (!py_code) {
        py_code = __Pyx_CreateCodeObjectForTraceback(
            funcname, c_line, py_line, filename);
        if (!py_code) goto bad;
        __pyx_insert_code_object(c_line ? -c_line : py_line, py_code);
    }
    py_frame = PyFrame_New(
        tstate,            /*PyThreadState *tstate,*/
        py_code,           /*PyCodeObject *code,*/
        __pyx_d,    /*PyObject *globals,*/
        0                  /*PyObject *locals*/
    );
    if (!py_frame) goto bad;
    __Pyx_PyFrame_SetLineNumber(py_frame, py_line);
    PyTraceBack_Here(py_frame);
bad:
    Py_XDECREF(py_code);
    Py_XDECREF(py_frame);
}

#if PY_MAJOR_VERSION < 3
static int __Pyx_GetBuffer(PyObject *obj, Py_buffer *view, int flags) {
    if (PyObject_CheckBuffer(obj)) return PyObject_GetBuffer(obj, view, flags);
        if (__Pyx_TypeCheck(obj, __pyx_ptype_5numpy_ndarray)) return __pyx_pw_5numpy_7ndarray_1__getbuffer__(obj, view, flags);
        if (__Pyx_TypeCheck(obj, __pyx_array_type)) return __pyx_array_getbuffer(obj, view, flags);
        if (__Pyx_TypeCheck(obj, __pyx_memoryview_type)) return __pyx_memoryview_getbuffer(obj, view, flags);
    PyErr_Format(PyExc_TypeError, "'%.200s' does not have the buffer interface", Py_TYPE(obj)->tp_name);
    return -1;
}
static void __Pyx_ReleaseBuffer(Py_buffer *view) {
    PyObject *obj = view->obj;
    if (!obj) return;
    if (PyObject_CheckBuffer(obj)) {
        PyBuffer_Release(view);
        return;
    }
    if ((0)) {}
        else if (__Pyx_TypeCheck(obj, __pyx_ptype_5numpy_ndarray)) __pyx_pw_5numpy_7ndarray_3__releasebuffer__(obj, view);
    view->obj = NULL;
    Py_DECREF(obj);
}
#endif


          /* MemviewSliceIsContig */
          static int
__pyx_memviewslice_is_contig(const __Pyx_memviewslice mvs, char order, int ndim)
{
    int i, index, step, start;
    Py_ssize_t itemsize = mvs.memview->view.itemsize;
    if (order == 'F') {
        step = 1;
        start = 0;
    } else {
        step = -1;
        start = ndim - 1;
    }
    for (i = 0; i < ndim; i++) {
        index = start + step * i;
        if (mvs.suboffsets[index] >= 0 || mvs.strides[index] != itemsize)
            return 0;
        itemsize *= mvs.shape[index];
    }
    return 1;
}

/* OverlappingSlices */
          static void
__pyx_get_array_memory_extents(__Pyx_memviewslice *slice,
                               void **out_start, void **out_end,
                               int ndim, size_t itemsize)
{
    char *start, *end;
    int i;
    start = end = slice->data;
    for (i = 0; i < ndim; i++) {
        Py_ssize_t stride = slice->strides[i];
        Py_ssize_t extent = slice->shape[i];
        if (extent == 0) {
            *out_start = *out_end = start;
            return;
        } else {
            if (stride > 0)
                end += stride * (extent - 1);
            else
                start += stride * (extent - 1);
        }
    }
    *out_start = start;
    *out_end = end + itemsize;
}
static int
__pyx_slices_overlap(__Pyx_memviewslice *slice1,
                     __Pyx_memviewslice *slice2,
                     int ndim, size_t itemsize)
{
    void *start1, *end1, *start2, *end2;
    __pyx_get_array_memory_extents(slice1, &start1, &end1, ndim, itemsize);
    __pyx_get_array_memory_extents(slice2, &start2, &end2, ndim, itemsize);
    return (start1 < end2) && (start2 < end1);
}

/* Capsule */
          static CYTHON_INLINE PyObject *
__pyx_capsule_create(void *p, CYTHON_UNUSED const char *sig)
{
    PyObject *cobj;
#if PY_VERSION_HEX >= 0x02070000
    cobj = PyCapsule_New(p, sig, NULL);
#else
    cobj = PyCObject_FromVoidPtr(p, NULL);
#endif
    return cobj;
}

/* TypeInfoCompare */
          static int
__pyx_typeinfo_cmp(__Pyx_TypeInfo *a, __Pyx_TypeInfo *b)
{
    int i;
    if (!a || !b)
        return 0;
    if (a == b)
        return 1;
    if (a->size != b->size || a->typegroup != b->typegroup ||
            a->is_unsigned != b->is_unsigned || a->ndim != b->ndim) {
        if (a->typegroup == 'H' || b->typegroup == 'H') {
            return a->size == b->size;
        } else {
            return 0;
        }
    }
    if (a->ndim) {
        for (i = 0; i < a->ndim; i++)
            if (a->arraysize[i] != b->arraysize[i])
                return 0;
    }
    if (a->typegroup == 'S') {
        if (a->flags != b->flags)
            return 0;
        if (a->fields || b->fields) {
            if (!(a->fields && b->fields))
                return 0;
            for (i = 0; a->fields[i].type && b->fields[i].type; i++) {
                __Pyx_StructField *field_a = a->fields + i;
                __Pyx_StructField *field_b = b->fields + i;
                if (field_a->offset != field_b->offset ||
                    !__pyx_typeinfo_cmp(field_a->type, field_b->type))
                    return 0;
            }
            return !a->fields[i].type && !b->fields[i].type;
        }
    }
    return 1;
}

/* MemviewSliceValidateAndInit */
          static int
__pyx_check_strides(Py_buffer *buf, int dim, int ndim, int spec)
{
    if (buf->shape[dim] <= 1)
        return 1;
    if (buf->strides) {
        if (spec & __Pyx_MEMVIEW_CONTIG) {
            if (spec & (__Pyx_MEMVIEW_PTR|__Pyx_MEMVIEW_FULL)) {
                if (buf->strides[dim] != sizeof(void *)) {
                    PyErr_Format(PyExc_ValueError,
                                 "Buffer is not indirectly contiguous "
                                 "in dimension %d.", dim);
                    goto fail;
                }
            } else if (buf->strides[dim] != buf->itemsize) {
                PyErr_SetString(PyExc_ValueError,
                                "Buffer and memoryview are not contiguous "
                                "in the same dimension.");
                goto fail;
            }
        }
        if (spec & __Pyx_MEMVIEW_FOLLOW) {
            Py_ssize_t stride = buf->strides[dim];
            if (stride < 0)
                stride = -stride;
            if (stride < buf->itemsize) {
                PyErr_SetString(PyExc_ValueError,
                                "Buffer and memoryview are not contiguous "
                                "in the same dimension.");
                goto fail;
            }
        }
    } else {
        if (spec & __Pyx_MEMVIEW_CONTIG && dim != ndim - 1) {
            PyErr_Format(PyExc_ValueError,
                         "C-contiguous buffer is not contiguous in "
                         "dimension %d", dim);
            goto fail;
        } else if (spec & (__Pyx_MEMVIEW_PTR)) {
            PyErr_Format(PyExc_ValueError,
                         "C-contiguous buffer is not indirect in "
                         "dimension %d", dim);
            goto fail;
        } else if (buf->suboffsets) {
            PyErr_SetString(PyExc_ValueError,
                            "Buffer exposes suboffsets but no strides");
            goto fail;
        }
    }
    return 1;
fail:
    return 0;
}
static int
__pyx_check_suboffsets(Py_buffer *buf, int dim, CYTHON_UNUSED int ndim, int spec)
{
    if (spec & __Pyx_MEMVIEW_DIRECT) {
        if (buf->suboffsets && buf->suboffsets[dim] >= 0) {
            PyErr_Format(PyExc_ValueError,
                         "Buffer not compatible with direct access "
                         "in dimension %d.", dim);
            goto fail;
        }
    }
    if (spec & __Pyx_MEMVIEW_PTR) {
        if (!buf->suboffsets || (buf->suboffsets[dim] < 0)) {
            PyErr_Format(PyExc_ValueError,
                         "Buffer is not indirectly accessible "
                         "in dimension %d.", dim);
            goto fail;
        }
    }
    return 1;
fail:
    return 0;
}
static int
__pyx_verify_contig(Py_buffer *buf, int ndim, int c_or_f_flag)
{
    int i;
    if (c_or_f_flag & __Pyx_IS_F_CONTIG) {
        Py_ssize_t stride = 1;
        for (i = 0; i < ndim; i++) {
            if (stride * buf->itemsize != buf->strides[i] &&
                    buf->shape[i] > 1)
            {
                PyErr_SetString(PyExc_ValueError,
                    "Buffer not fortran contiguous.");
                goto fail;
            }
            stride = stride * buf->shape[i];
        }
    } else if (c_or_f_flag & __Pyx_IS_C_CONTIG) {
        Py_ssize_t stride = 1;
        for (i = ndim - 1; i >- 1; i--) {
            if (stride * buf->itemsize != buf->strides[i] &&
                    buf->shape[i] > 1) {
                PyErr_SetString(PyExc_ValueError,
                    "Buffer not C contiguous.");
                goto fail;
            }
            stride = stride * buf->shape[i];
        }
    }
    return 1;
fail:
    return 0;
}
static int __Pyx_ValidateAndInit_memviewslice(
                int *axes_specs,
                int c_or_f_flag,
                int buf_flags,
                int ndim,
                __Pyx_TypeInfo *dtype,
                __Pyx_BufFmt_StackElem stack[],
                __Pyx_memviewslice *memviewslice,
                PyObject *original_obj)
{
    struct __pyx_memoryview_obj *memview, *new_memview;
    __Pyx_RefNannyDeclarations
    Py_buffer *buf;
    int i, spec = 0, retval = -1;
    __Pyx_BufFmt_Context ctx;
    int from_memoryview = __pyx_memoryview_check(original_obj);
    __Pyx_RefNannySetupContext("ValidateAndInit_memviewslice", 0);
    if (from_memoryview && __pyx_typeinfo_cmp(dtype, ((struct __pyx_memoryview_obj *)
                                                            original_obj)->typeinfo)) {
        memview = (struct __pyx_memoryview_obj *) original_obj;
        new_memview = NULL;
    } else {
        memview = (struct __pyx_memoryview_obj *) __pyx_memoryview_new(
                                            original_obj, buf_flags, 0, dtype);
        new_memview = memview;
        if (unlikely(!memview))
            goto fail;
    }
    buf = &memview->view;
    if (buf->ndim != ndim) {
        PyErr_Format(PyExc_ValueError,
                "Buffer has wrong number of dimensions (expected %d, got %d)",
                ndim, buf->ndim);
        goto fail;
    }
    if (new_memview) {
        __Pyx_BufFmt_Init(&ctx, stack, dtype);
        if (!__Pyx_BufFmt_CheckString(&ctx, buf->format)) goto fail;
    }
    if ((unsigned) buf->itemsize != dtype->size) {
        PyErr_Format(PyExc_ValueError,
                     "Item size of buffer (%" CYTHON_FORMAT_SSIZE_T "u byte%s) "
                     "does not match size of '%s' (%" CYTHON_FORMAT_SSIZE_T "u byte%s)",
                     buf->itemsize,
                     (buf->itemsize > 1) ? "s" : "",
                     dtype->name,
                     dtype->size,
                     (dtype->size > 1) ? "s" : "");
        goto fail;
    }
    for (i = 0; i < ndim; i++) {
        spec = axes_specs[i];
        if (!__pyx_check_strides(buf, i, ndim, spec))
            goto fail;
        if (!__pyx_check_suboffsets(buf, i, ndim, spec))
            goto fail;
    }
    if (buf->strides && !__pyx_verify_contig(buf, ndim, c_or_f_flag))
        goto fail;
    if (unlikely(__Pyx_init_memviewslice(memview, ndim, memviewslice,
                                         new_memview != NULL) == -1)) {
        goto fail;
    }
    retval = 0;
    goto no_fail;
fail:
    Py_XDECREF(new_memview);
    retval = -1;
no_fail:
    __Pyx_RefNannyFinishContext();
    return retval;
}

/* ObjectToMemviewSlice */
          static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_d_d_dc_float(PyObject *obj, int writable_flag) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_FOLLOW), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_FOLLOW), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_FOLLOW), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_CONTIG) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, __Pyx_IS_C_CONTIG,
                                                 (PyBUF_C_CONTIGUOUS | PyBUF_FORMAT) | writable_flag, 4,
                                                 &__Pyx_TypeInfo_float, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
          static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_d_d_dc_double(PyObject *obj, int writable_flag) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_FOLLOW), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_FOLLOW), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_FOLLOW), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_CONTIG) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, __Pyx_IS_C_CONTIG,
                                                 (PyBUF_C_CONTIGUOUS | PyBUF_FORMAT) | writable_flag, 4,
                                                 &__Pyx_TypeInfo_double, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* CIntFromPyVerify */
          #define __PYX_VERIFY_RETURN_INT(target_type, func_type, func_value)\
    __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 0)
#define __PYX_VERIFY_RETURN_INT_EXC(target_type, func_type, func_value)\
    __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 1)
#define __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, exc)\
    {\
        func_type value = func_value;\
        if (sizeof(target_type) < sizeof(func_type)) {\
            if (unlikely(value != (func_type) (target_type) value)) {\
                func_type zero = 0;\
                if (exc && unlikely(value == (func_type)-1 && PyErr_Occurred()))\
                    return (target_type) -1;\
                if (is_unsigned && unlikely(value < zero))\
                    goto raise_neg_overflow;\
                else\
                    goto raise_overflow;\
            }\
        }\
        return (target_type) value;\
    }

/* ObjectToMemviewSlice */
          static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dc_nn___pyx_t_5numpy_float32_t(PyObject *obj, int writable_flag) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_CONTIG) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, __Pyx_IS_C_CONTIG,
                                                 (PyBUF_C_CONTIGUOUS | PyBUF_FORMAT) | writable_flag, 1,
                                                 &__Pyx_TypeInfo_nn___pyx_t_5numpy_float32_t, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
          static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dc_nn___pyx_t_5numpy_int_t(PyObject *obj, int writable_flag) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_CONTIG) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, __Pyx_IS_C_CONTIG,
                                                 (PyBUF_C_CONTIGUOUS | PyBUF_FORMAT) | writable_flag, 1,
                                                 &__Pyx_TypeInfo_nn___pyx_t_5numpy_int_t, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* CIntToPy */
          static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value) {
    const int neg_one = (int) ((int) 0 - (int) 1), const_zero = (int) 0;
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(int) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(int) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(int) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(int),
                                     little, !is_unsigned);
    }
}

/* ObjectToMemviewSlice */
          static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_dc_nn___pyx_t_5numpy_int8_t(PyObject *obj, int writable_flag) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_FOLLOW), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_CONTIG) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, __Pyx_IS_C_CONTIG,
                                                 (PyBUF_C_CONTIGUOUS | PyBUF_FORMAT) | writable_flag, 2,
                                                 &__Pyx_TypeInfo_nn___pyx_t_5numpy_int8_t, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* CIntToPy */
          static CYTHON_INLINE PyObject* __Pyx_PyInt_From_npy_int8(npy_int8 value) {
    const npy_int8 neg_one = (npy_int8) ((npy_int8) 0 - (npy_int8) 1), const_zero = (npy_int8) 0;
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(npy_int8) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(npy_int8) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(npy_int8) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(npy_int8) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(npy_int8) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(npy_int8),
                                     little, !is_unsigned);
    }
}

/* MemviewDtypeToObject */
          static CYTHON_INLINE PyObject *__pyx_memview_get_nn___pyx_t_5numpy_int8_t(const char *itemp) {
    return (PyObject *) __Pyx_PyInt_From_npy_int8(*(__pyx_t_5numpy_int8_t *) itemp);
}
static CYTHON_INLINE int __pyx_memview_set_nn___pyx_t_5numpy_int8_t(const char *itemp, PyObject *obj) {
    __pyx_t_5numpy_int8_t value = __Pyx_PyInt_As_npy_int8(obj);
    if ((value == ((npy_int8)-1)) && PyErr_Occurred())
        return 0;
    *(__pyx_t_5numpy_int8_t *) itemp = value;
    return 1;
}

/* ObjectToMemviewSlice */
          static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_d_d_dc_nn___pyx_t_5numpy_float32_t(PyObject *obj, int writable_flag) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_FOLLOW), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_FOLLOW), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_FOLLOW), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_CONTIG) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, __Pyx_IS_C_CONTIG,
                                                 (PyBUF_C_CONTIGUOUS | PyBUF_FORMAT) | writable_flag, 4,
                                                 &__Pyx_TypeInfo_nn___pyx_t_5numpy_float32_t, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
          static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsds_nn___pyx_t_5numpy_int8_t(PyObject *obj, int writable_flag) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, 0,
                                                 PyBUF_RECORDS_RO | writable_flag, 2,
                                                 &__Pyx_TypeInfo_nn___pyx_t_5numpy_int8_t, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
          static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsdsdsds_nn___pyx_t_5numpy_float32_t(PyObject *obj, int writable_flag) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, 0,
                                                 PyBUF_RECORDS_RO | writable_flag, 4,
                                                 &__Pyx_TypeInfo_nn___pyx_t_5numpy_float32_t, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
          static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_dc_nn_struct____pyx_t_5pyFAI_3ext_11_distortion_lut_t(PyObject *obj, int writable_flag) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[2];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_FOLLOW), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_CONTIG) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, __Pyx_IS_C_CONTIG,
                                                 (PyBUF_C_CONTIGUOUS | PyBUF_FORMAT) | writable_flag, 2,
                                                 &__Pyx_TypeInfo_nn_struct____pyx_t_5pyFAI_3ext_11_distortion_lut_t, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
          static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsds_nn_struct____pyx_t_5pyFAI_3ext_11_distortion_lut_t(PyObject *obj, int writable_flag) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[2];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, 0,
                                                 PyBUF_RECORDS_RO | writable_flag, 2,
                                                 &__Pyx_TypeInfo_nn_struct____pyx_t_5pyFAI_3ext_11_distortion_lut_t, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* MemviewDtypeToObject */
          static CYTHON_INLINE PyObject *__pyx_memview_get_nn___pyx_t_5numpy_float32_t(const char *itemp) {
    return (PyObject *) PyFloat_FromDouble(*(__pyx_t_5numpy_float32_t *) itemp);
}
static CYTHON_INLINE int __pyx_memview_set_nn___pyx_t_5numpy_float32_t(const char *itemp, PyObject *obj) {
    __pyx_t_5numpy_float32_t value = __pyx_PyFloat_AsFloat(obj);
    if ((value == ((npy_float32)-1)) && PyErr_Occurred())
        return 0;
    *(__pyx_t_5numpy_float32_t *) itemp = value;
    return 1;
}

/* CIntToPy */
          static CYTHON_INLINE PyObject* __Pyx_PyInt_From_npy_long(npy_long value) {
    const npy_long neg_one = (npy_long) ((npy_long) 0 - (npy_long) 1), const_zero = (npy_long) 0;
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(npy_long) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(npy_long) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(npy_long) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(npy_long) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(npy_long) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(npy_long),
                                     little, !is_unsigned);
    }
}

/* MemviewDtypeToObject */
          static CYTHON_INLINE PyObject *__pyx_memview_get_nn___pyx_t_5numpy_int_t(const char *itemp) {
    return (PyObject *) __Pyx_PyInt_From_npy_long(*(__pyx_t_5numpy_int_t *) itemp);
}
static CYTHON_INLINE int __pyx_memview_set_nn___pyx_t_5numpy_int_t(const char *itemp, PyObject *obj) {
    __pyx_t_5numpy_int_t value = __Pyx_PyInt_As_npy_long(obj);
    if ((value == ((npy_long)-1)) && PyErr_Occurred())
        return 0;
    *(__pyx_t_5numpy_int_t *) itemp = value;
    return 1;
}

/* CIntToPy */
          static CYTHON_INLINE PyObject* __Pyx_PyInt_From_npy_int32(npy_int32 value) {
    const npy_int32 neg_one = (npy_int32) ((npy_int32) 0 - (npy_int32) 1), const_zero = (npy_int32) 0;
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(npy_int32) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(npy_int32) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(npy_int32) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(npy_int32) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(npy_int32) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(npy_int32),
                                     little, !is_unsigned);
    }
}

/* MemviewDtypeToObject */
          static CYTHON_INLINE PyObject *__pyx_memview_get_nn___pyx_t_5pyFAI_3ext_11_distortion_data_t(const char *itemp) {
    return (PyObject *) PyFloat_FromDouble(*(__pyx_t_5pyFAI_3ext_11_distortion_data_t *) itemp);
}
static CYTHON_INLINE int __pyx_memview_set_nn___pyx_t_5pyFAI_3ext_11_distortion_data_t(const char *itemp, PyObject *obj) {
    __pyx_t_5pyFAI_3ext_11_distortion_data_t value = __pyx_PyFloat_AsFloat(obj);
    if ((value == ((npy_float32)-1)) && PyErr_Occurred())
        return 0;
    *(__pyx_t_5pyFAI_3ext_11_distortion_data_t *) itemp = value;
    return 1;
}

/* MemviewDtypeToObject */
          static CYTHON_INLINE PyObject *__pyx_memview_get_nn___pyx_t_5pyFAI_3ext_11_distortion_acc_t(const char *itemp) {
    return (PyObject *) PyFloat_FromDouble(*(__pyx_t_5pyFAI_3ext_11_distortion_acc_t *) itemp);
}
static CYTHON_INLINE int __pyx_memview_set_nn___pyx_t_5pyFAI_3ext_11_distortion_acc_t(const char *itemp, PyObject *obj) {
    __pyx_t_5pyFAI_3ext_11_distortion_acc_t value = __pyx_PyFloat_AsDouble(obj);
    if ((value == ((npy_float64)-1)) && PyErr_Occurred())
        return 0;
    *(__pyx_t_5pyFAI_3ext_11_distortion_acc_t *) itemp = value;
    return 1;
}

/* CIntToPy */
          static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value) {
    const long neg_one = (long) ((long) 0 - (long) 1), const_zero = (long) 0;
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(long) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(long) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(long) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(long),
                                     little, !is_unsigned);
    }
}

/* MemviewDtypeToObject */
          static CYTHON_INLINE PyObject *__pyx_memview_get_nn___pyx_t_5numpy_int32_t(const char *itemp) {
    return (PyObject *) __Pyx_PyInt_From_npy_int32(*(__pyx_t_5numpy_int32_t *) itemp);
}
static CYTHON_INLINE int __pyx_memview_set_nn___pyx_t_5numpy_int32_t(const char *itemp, PyObject *obj) {
    __pyx_t_5numpy_int32_t value = __Pyx_PyInt_As_npy_int32(obj);
    if ((value == ((npy_int32)-1)) && PyErr_Occurred())
        return 0;
    *(__pyx_t_5numpy_int32_t *) itemp = value;
    return 1;
}

static PyObject* __pyx_convert__to_py_struct____pyx_t_5pyFAI_3ext_11_distortion_lut_t(struct __pyx_t_5pyFAI_3ext_11_distortion_lut_t s) {
            PyObject* res;
            PyObject* member;
            res = __Pyx_PyDict_NewPresized(2); if (unlikely(!res)) return NULL;
            member = __Pyx_PyInt_From_npy_int32(s.idx); if (unlikely(!member)) goto bad;
            if (unlikely(PyDict_SetItem(res, __pyx_n_s_idx, member) < 0)) goto bad;
            Py_DECREF(member);
            member = PyFloat_FromDouble(s.coef); if (unlikely(!member)) goto bad;
            if (unlikely(PyDict_SetItem(res, __pyx_n_s_coef, member) < 0)) goto bad;
            Py_DECREF(member);
            return res;
            bad:
            Py_XDECREF(member);
            Py_DECREF(res);
            return NULL;
          }
          /* MemviewDtypeToObject */
          static CYTHON_INLINE PyObject *__pyx_memview_get_nn_struct____pyx_t_5pyFAI_3ext_11_distortion_lut_t(const char *itemp) {
    return (PyObject *) __pyx_convert__to_py_struct____pyx_t_5pyFAI_3ext_11_distortion_lut_t(*(struct __pyx_t_5pyFAI_3ext_11_distortion_lut_t *) itemp);
}
static CYTHON_INLINE int __pyx_memview_set_nn_struct____pyx_t_5pyFAI_3ext_11_distortion_lut_t(const char *itemp, PyObject *obj) {
    struct __pyx_t_5pyFAI_3ext_11_distortion_lut_t value = __pyx_convert__from_py_struct____pyx_t_5pyFAI_3ext_11_distortion_lut_t(obj);
    if (PyErr_Occurred())
        return 0;
    *(struct __pyx_t_5pyFAI_3ext_11_distortion_lut_t *) itemp = value;
    return 1;
}

/* MemviewDtypeToObject */
          static CYTHON_INLINE PyObject *__pyx_memview_get_int(const char *itemp) {
    return (PyObject *) __Pyx_PyInt_From_int(*(int *) itemp);
}
static CYTHON_INLINE int __pyx_memview_set_int(const char *itemp, PyObject *obj) {
    int value = __Pyx_PyInt_As_int(obj);
    if ((value == (int)-1) && PyErr_Occurred())
        return 0;
    *(int *) itemp = value;
    return 1;
}

/* CIntToPy */
          static CYTHON_INLINE PyObject* __Pyx_PyInt_From_Py_intptr_t(Py_intptr_t value) {
    const Py_intptr_t neg_one = (Py_intptr_t) ((Py_intptr_t) 0 - (Py_intptr_t) 1), const_zero = (Py_intptr_t) 0;
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(Py_intptr_t) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(Py_intptr_t) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(Py_intptr_t) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(Py_intptr_t) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(Py_intptr_t) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(Py_intptr_t),
                                     little, !is_unsigned);
    }
}

/* Declarations */
          #if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
      return ::std::complex< float >(x, y);
    }
  #else
    static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
      return x + y*(__pyx_t_float_complex)_Complex_I;
    }
  #endif
#else
    static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
      __pyx_t_float_complex z;
      z.real = x;
      z.imag = y;
      return z;
    }
#endif

/* Arithmetic */
          #if CYTHON_CCOMPLEX
#else
    static CYTHON_INLINE int __Pyx_c_eq_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
       return (a.real == b.real) && (a.imag == b.imag);
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_sum_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        __pyx_t_float_complex z;
        z.real = a.real + b.real;
        z.imag = a.imag + b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_diff_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        __pyx_t_float_complex z;
        z.real = a.real - b.real;
        z.imag = a.imag - b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_prod_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        __pyx_t_float_complex z;
        z.real = a.real * b.real - a.imag * b.imag;
        z.imag = a.real * b.imag + a.imag * b.real;
        return z;
    }
    #if 1
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        if (b.imag == 0) {
            return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.real);
        } else if (fabsf(b.real) >= fabsf(b.imag)) {
            if (b.real == 0 && b.imag == 0) {
                return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.imag);
            } else {
                float r = b.imag / b.real;
                float s = (float)(1.0) / (b.real + b.imag * r);
                return __pyx_t_float_complex_from_parts(
                    (a.real + a.imag * r) * s, (a.imag - a.real * r) * s);
            }
        } else {
            float r = b.real / b.imag;
            float s = (float)(1.0) / (b.imag + b.real * r);
            return __pyx_t_float_complex_from_parts(
                (a.real * r + a.imag) * s, (a.imag * r - a.real) * s);
        }
    }
    #else
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        if (b.imag == 0) {
            return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.real);
        } else {
            float denom = b.real * b.real + b.imag * b.imag;
            return __pyx_t_float_complex_from_parts(
                (a.real * b.real + a.imag * b.imag) / denom,
                (a.imag * b.real - a.real * b.imag) / denom);
        }
    }
    #endif
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_neg_float(__pyx_t_float_complex a) {
        __pyx_t_float_complex z;
        z.real = -a.real;
        z.imag = -a.imag;
        return z;
    }
    static CYTHON_INLINE int __Pyx_c_is_zero_float(__pyx_t_float_complex a) {
       return (a.real == 0) && (a.imag == 0);
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conj_float(__pyx_t_float_complex a) {
        __pyx_t_float_complex z;
        z.real =  a.real;
        z.imag = -a.imag;
        return z;
    }
    #if 1
        static CYTHON_INLINE float __Pyx_c_abs_float(__pyx_t_float_complex z) {
          #if !defined(HAVE_HYPOT) || defined(_MSC_VER)
            return sqrtf(z.real*z.real + z.imag*z.imag);
          #else
            return hypotf(z.real, z.imag);
          #endif
        }
        static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_pow_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
            __pyx_t_float_complex z;
            float r, lnr, theta, z_r, z_theta;
            if (b.imag == 0 && b.real == (int)b.real) {
                if (b.real < 0) {
                    float denom = a.real * a.real + a.imag * a.imag;
                    a.real = a.real / denom;
                    a.imag = -a.imag / denom;
                    b.real = -b.real;
                }
                switch ((int)b.real) {
                    case 0:
                        z.real = 1;
                        z.imag = 0;
                        return z;
                    case 1:
                        return a;
                    case 2:
                        return __Pyx_c_prod_float(a, a);
                    case 3:
                        z = __Pyx_c_prod_float(a, a);
                        return __Pyx_c_prod_float(z, a);
                    case 4:
                        z = __Pyx_c_prod_float(a, a);
                        return __Pyx_c_prod_float(z, z);
                }
            }
            if (a.imag == 0) {
                if (a.real == 0) {
                    return a;
                } else if (b.imag == 0) {
                    z.real = powf(a.real, b.real);
                    z.imag = 0;
                    return z;
                } else if (a.real > 0) {
                    r = a.real;
                    theta = 0;
                } else {
                    r = -a.real;
                    theta = atan2f(0.0, -1.0);
                }
            } else {
                r = __Pyx_c_abs_float(a);
                theta = atan2f(a.imag, a.real);
            }
            lnr = logf(r);
            z_r = expf(lnr * b.real - theta * b.imag);
            z_theta = theta * b.real + lnr * b.imag;
            z.real = z_r * cosf(z_theta);
            z.imag = z_r * sinf(z_theta);
            return z;
        }
    #endif
#endif

/* Declarations */
          #if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
      return ::std::complex< double >(x, y);
    }
  #else
    static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
      return x + y*(__pyx_t_double_complex)_Complex_I;
    }
  #endif
#else
    static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
      __pyx_t_double_complex z;
      z.real = x;
      z.imag = y;
      return z;
    }
#endif

/* Arithmetic */
          #if CYTHON_CCOMPLEX
#else
    static CYTHON_INLINE int __Pyx_c_eq_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
       return (a.real == b.real) && (a.imag == b.imag);
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        z.real = a.real + b.real;
        z.imag = a.imag + b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        z.real = a.real - b.real;
        z.imag = a.imag - b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        z.real = a.real * b.real - a.imag * b.imag;
        z.imag = a.real * b.imag + a.imag * b.real;
        return z;
    }
    #if 1
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        if (b.imag == 0) {
            return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.real);
        } else if (fabs(b.real) >= fabs(b.imag)) {
            if (b.real == 0 && b.imag == 0) {
                return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.imag);
            } else {
                double r = b.imag / b.real;
                double s = (double)(1.0) / (b.real + b.imag * r);
                return __pyx_t_double_complex_from_parts(
                    (a.real + a.imag * r) * s, (a.imag - a.real * r) * s);
            }
        } else {
            double r = b.real / b.imag;
            double s = (double)(1.0) / (b.imag + b.real * r);
            return __pyx_t_double_complex_from_parts(
                (a.real * r + a.imag) * s, (a.imag * r - a.real) * s);
        }
    }
    #else
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        if (b.imag == 0) {
            return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.real);
        } else {
            double denom = b.real * b.real + b.imag * b.imag;
            return __pyx_t_double_complex_from_parts(
                (a.real * b.real + a.imag * b.imag) / denom,
                (a.imag * b.real - a.real * b.imag) / denom);
        }
    }
    #endif
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg_double(__pyx_t_double_complex a) {
        __pyx_t_double_complex z;
        z.real = -a.real;
        z.imag = -a.imag;
        return z;
    }
    static CYTHON_INLINE int __Pyx_c_is_zero_double(__pyx_t_double_complex a) {
       return (a.real == 0) && (a.imag == 0);
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj_double(__pyx_t_double_complex a) {
        __pyx_t_double_complex z;
        z.real =  a.real;
        z.imag = -a.imag;
        return z;
    }
    #if 1
        static CYTHON_INLINE double __Pyx_c_abs_double(__pyx_t_double_complex z) {
          #if !defined(HAVE_HYPOT) || defined(_MSC_VER)
            return sqrt(z.real*z.real + z.imag*z.imag);
          #else
            return hypot(z.real, z.imag);
          #endif
        }
        static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
            __pyx_t_double_complex z;
            double r, lnr, theta, z_r, z_theta;
            if (b.imag == 0 && b.real == (int)b.real) {
                if (b.real < 0) {
                    double denom = a.real * a.real + a.imag * a.imag;
                    a.real = a.real / denom;
                    a.imag = -a.imag / denom;
                    b.real = -b.real;
                }
                switch ((int)b.real) {
                    case 0:
                        z.real = 1;
                        z.imag = 0;
                        return z;
                    case 1:
                        return a;
                    case 2:
                        return __Pyx_c_prod_double(a, a);
                    case 3:
                        z = __Pyx_c_prod_double(a, a);
                        return __Pyx_c_prod_double(z, a);
                    case 4:
                        z = __Pyx_c_prod_double(a, a);
                        return __Pyx_c_prod_double(z, z);
                }
            }
            if (a.imag == 0) {
                if (a.real == 0) {
                    return a;
                } else if (b.imag == 0) {
                    z.real = pow(a.real, b.real);
                    z.imag = 0;
                    return z;
                } else if (a.real > 0) {
                    r = a.real;
                    theta = 0;
                } else {
                    r = -a.real;
                    theta = atan2(0.0, -1.0);
                }
            } else {
                r = __Pyx_c_abs_double(a);
                theta = atan2(a.imag, a.real);
            }
            lnr = log(r);
            z_r = exp(lnr * b.real - theta * b.imag);
            z_theta = theta * b.real + lnr * b.imag;
            z.real = z_r * cos(z_theta);
            z.imag = z_r * sin(z_theta);
            return z;
        }
    #endif
#endif

/* CIntToPy */
          static CYTHON_INLINE PyObject* __Pyx_PyInt_From_enum__NPY_TYPES(enum NPY_TYPES value) {
    const enum NPY_TYPES neg_one = (enum NPY_TYPES) ((enum NPY_TYPES) 0 - (enum NPY_TYPES) 1), const_zero = (enum NPY_TYPES) 0;
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(enum NPY_TYPES) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(enum NPY_TYPES) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(enum NPY_TYPES) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(enum NPY_TYPES) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(enum NPY_TYPES) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(enum NPY_TYPES),
                                     little, !is_unsigned);
    }
}

/* MemviewSliceCopyTemplate */
          static __Pyx_memviewslice
__pyx_memoryview_copy_new_contig(const __Pyx_memviewslice *from_mvs,
                                 const char *mode, int ndim,
                                 size_t sizeof_dtype, int contig_flag,
                                 int dtype_is_object)
{
    __Pyx_RefNannyDeclarations
    int i;
    __Pyx_memviewslice new_mvs = { 0, 0, { 0 }, { 0 }, { 0 } };
    struct __pyx_memoryview_obj *from_memview = from_mvs->memview;
    Py_buffer *buf = &from_memview->view;
    PyObject *shape_tuple = NULL;
    PyObject *temp_int = NULL;
    struct __pyx_array_obj *array_obj = NULL;
    struct __pyx_memoryview_obj *memview_obj = NULL;
    __Pyx_RefNannySetupContext("__pyx_memoryview_copy_new_contig", 0);
    for (i = 0; i < ndim; i++) {
        if (from_mvs->suboffsets[i] >= 0) {
            PyErr_Format(PyExc_ValueError, "Cannot copy memoryview slice with "
                                           "indirect dimensions (axis %d)", i);
            goto fail;
        }
    }
    shape_tuple = PyTuple_New(ndim);
    if (unlikely(!shape_tuple)) {
        goto fail;
    }
    __Pyx_GOTREF(shape_tuple);
    for(i = 0; i < ndim; i++) {
        temp_int = PyInt_FromSsize_t(from_mvs->shape[i]);
        if(unlikely(!temp_int)) {
            goto fail;
        } else {
            PyTuple_SET_ITEM(shape_tuple, i, temp_int);
            temp_int = NULL;
        }
    }
    array_obj = __pyx_array_new(shape_tuple, sizeof_dtype, buf->format, (char *) mode, NULL);
    if (unlikely(!array_obj)) {
        goto fail;
    }
    __Pyx_GOTREF(array_obj);
    memview_obj = (struct __pyx_memoryview_obj *) __pyx_memoryview_new(
                                    (PyObject *) array_obj, contig_flag,
                                    dtype_is_object,
                                    from_mvs->memview->typeinfo);
    if (unlikely(!memview_obj))
        goto fail;
    if (unlikely(__Pyx_init_memviewslice(memview_obj, ndim, &new_mvs, 1) < 0))
        goto fail;
    if (unlikely(__pyx_memoryview_copy_contents(*from_mvs, new_mvs, ndim, ndim,
                                                dtype_is_object) < 0))
        goto fail;
    goto no_fail;
fail:
    __Pyx_XDECREF(new_mvs.memview);
    new_mvs.memview = NULL;
    new_mvs.data = NULL;
no_fail:
    __Pyx_XDECREF(shape_tuple);
    __Pyx_XDECREF(temp_int);
    __Pyx_XDECREF(array_obj);
    __Pyx_RefNannyFinishContext();
    return new_mvs;
}

/* CIntFromPy */
          static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *x) {
    const int neg_one = (int) ((int) 0 - (int) 1), const_zero = (int) 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if (sizeof(int) < sizeof(long)) {
            __PYX_VERIFY_RETURN_INT(int, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (int) val;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (int) 0;
                case  1: __PYX_VERIFY_RETURN_INT(int, digit, digits[0])
                case 2:
                    if (8 * sizeof(int) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) >= 2 * PyLong_SHIFT) {
                            return (int) (((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(int) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) >= 3 * PyLong_SHIFT) {
                            return (int) (((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(int) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) >= 4 * PyLong_SHIFT) {
                            return (int) (((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
                        }
                    }
                    break;
            }
#endif
#if CYTHON_COMPILING_IN_CPYTHON
            if (unlikely(Py_SIZE(x) < 0)) {
                goto raise_neg_overflow;
            }
#else
            {
                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                if (unlikely(result < 0))
                    return (int) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if (sizeof(int) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT_EXC(int, unsigned long, PyLong_AsUnsignedLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(int, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
#endif
            }
        } else {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (int) 0;
                case -1: __PYX_VERIFY_RETURN_INT(int, sdigit, (sdigit) (-(sdigit)digits[0]))
                case  1: __PYX_VERIFY_RETURN_INT(int,  digit, +digits[0])
                case -2:
                    if (8 * sizeof(int) - 1 > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) {
                            return (int) (((int)-1)*(((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
                case 2:
                    if (8 * sizeof(int) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) {
                            return (int) ((((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
                case -3:
                    if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) {
                            return (int) (((int)-1)*(((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(int) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) {
                            return (int) ((((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
                case -4:
                    if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) - 1 > 4 * PyLong_SHIFT) {
                            return (int) (((int)-1)*(((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(int) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) - 1 > 4 * PyLong_SHIFT) {
                            return (int) ((((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
            }
#endif
            if (sizeof(int) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT_EXC(int, long, PyLong_AsLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(int, PY_LONG_LONG, PyLong_AsLongLong(x))
#endif
            }
        }
        {
#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
#else
            int val;
            PyObject *v = __Pyx_PyNumber_IntOrLong(x);
 #if PY_MAJOR_VERSION < 3
            if (likely(v) && !PyLong_Check(v)) {
                PyObject *tmp = v;
                v = PyNumber_Long(tmp);
                Py_DECREF(tmp);
            }
 #endif
            if (likely(v)) {
                int one = 1; int is_little = (int)*(unsigned char *)&one;
                unsigned char *bytes = (unsigned char *)&val;
                int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                              bytes, sizeof(val),
                                              is_little, !is_unsigned);
                Py_DECREF(v);
                if (likely(!ret))
                    return val;
            }
#endif
            return (int) -1;
        }
    } else {
        int val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (int) -1;
        val = __Pyx_PyInt_As_int(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to int");
    return (int) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to int");
    return (int) -1;
}

/* CIntFromPy */
          static CYTHON_INLINE npy_int8 __Pyx_PyInt_As_npy_int8(PyObject *x) {
    const npy_int8 neg_one = (npy_int8) ((npy_int8) 0 - (npy_int8) 1), const_zero = (npy_int8) 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if (sizeof(npy_int8) < sizeof(long)) {
            __PYX_VERIFY_RETURN_INT(npy_int8, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (npy_int8) val;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (npy_int8) 0;
                case  1: __PYX_VERIFY_RETURN_INT(npy_int8, digit, digits[0])
                case 2:
                    if (8 * sizeof(npy_int8) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int8, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_int8) >= 2 * PyLong_SHIFT) {
                            return (npy_int8) (((((npy_int8)digits[1]) << PyLong_SHIFT) | (npy_int8)digits[0]));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(npy_int8) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int8, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_int8) >= 3 * PyLong_SHIFT) {
                            return (npy_int8) (((((((npy_int8)digits[2]) << PyLong_SHIFT) | (npy_int8)digits[1]) << PyLong_SHIFT) | (npy_int8)digits[0]));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(npy_int8) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int8, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_int8) >= 4 * PyLong_SHIFT) {
                            return (npy_int8) (((((((((npy_int8)digits[3]) << PyLong_SHIFT) | (npy_int8)digits[2]) << PyLong_SHIFT) | (npy_int8)digits[1]) << PyLong_SHIFT) | (npy_int8)digits[0]));
                        }
                    }
                    break;
            }
#endif
#if CYTHON_COMPILING_IN_CPYTHON
            if (unlikely(Py_SIZE(x) < 0)) {
                goto raise_neg_overflow;
            }
#else
            {
                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                if (unlikely(result < 0))
                    return (npy_int8) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if (sizeof(npy_int8) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT_EXC(npy_int8, unsigned long, PyLong_AsUnsignedLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(npy_int8) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(npy_int8, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
#endif
            }
        } else {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (npy_int8) 0;
                case -1: __PYX_VERIFY_RETURN_INT(npy_int8, sdigit, (sdigit) (-(sdigit)digits[0]))
                case  1: __PYX_VERIFY_RETURN_INT(npy_int8,  digit, +digits[0])
                case -2:
                    if (8 * sizeof(npy_int8) - 1 > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int8, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_int8) - 1 > 2 * PyLong_SHIFT) {
                            return (npy_int8) (((npy_int8)-1)*(((((npy_int8)digits[1]) << PyLong_SHIFT) | (npy_int8)digits[0])));
                        }
                    }
                    break;
                case 2:
                    if (8 * sizeof(npy_int8) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int8, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_int8) - 1 > 2 * PyLong_SHIFT) {
                            return (npy_int8) ((((((npy_int8)digits[1]) << PyLong_SHIFT) | (npy_int8)digits[0])));
                        }
                    }
                    break;
                case -3:
                    if (8 * sizeof(npy_int8) - 1 > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int8, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_int8) - 1 > 3 * PyLong_SHIFT) {
                            return (npy_int8) (((npy_int8)-1)*(((((((npy_int8)digits[2]) << PyLong_SHIFT) | (npy_int8)digits[1]) << PyLong_SHIFT) | (npy_int8)digits[0])));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(npy_int8) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int8, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_int8) - 1 > 3 * PyLong_SHIFT) {
                            return (npy_int8) ((((((((npy_int8)digits[2]) << PyLong_SHIFT) | (npy_int8)digits[1]) << PyLong_SHIFT) | (npy_int8)digits[0])));
                        }
                    }
                    break;
                case -4:
                    if (8 * sizeof(npy_int8) - 1 > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int8, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_int8) - 1 > 4 * PyLong_SHIFT) {
                            return (npy_int8) (((npy_int8)-1)*(((((((((npy_int8)digits[3]) << PyLong_SHIFT) | (npy_int8)digits[2]) << PyLong_SHIFT) | (npy_int8)digits[1]) << PyLong_SHIFT) | (npy_int8)digits[0])));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(npy_int8) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int8, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_int8) - 1 > 4 * PyLong_SHIFT) {
                            return (npy_int8) ((((((((((npy_int8)digits[3]) << PyLong_SHIFT) | (npy_int8)digits[2]) << PyLong_SHIFT) | (npy_int8)digits[1]) << PyLong_SHIFT) | (npy_int8)digits[0])));
                        }
                    }
                    break;
            }
#endif
            if (sizeof(npy_int8) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT_EXC(npy_int8, long, PyLong_AsLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(npy_int8) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(npy_int8, PY_LONG_LONG, PyLong_AsLongLong(x))
#endif
            }
        }
        {
#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
#else
            npy_int8 val;
            PyObject *v = __Pyx_PyNumber_IntOrLong(x);
 #if PY_MAJOR_VERSION < 3
            if (likely(v) && !PyLong_Check(v)) {
                PyObject *tmp = v;
                v = PyNumber_Long(tmp);
                Py_DECREF(tmp);
            }
 #endif
            if (likely(v)) {
                int one = 1; int is_little = (int)*(unsigned char *)&one;
                unsigned char *bytes = (unsigned char *)&val;
                int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                              bytes, sizeof(val),
                                              is_little, !is_unsigned);
                Py_DECREF(v);
                if (likely(!ret))
                    return val;
            }
#endif
            return (npy_int8) -1;
        }
    } else {
        npy_int8 val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (npy_int8) -1;
        val = __Pyx_PyInt_As_npy_int8(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to npy_int8");
    return (npy_int8) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to npy_int8");
    return (npy_int8) -1;
}

/* CIntFromPy */
          static CYTHON_INLINE npy_long __Pyx_PyInt_As_npy_long(PyObject *x) {
    const npy_long neg_one = (npy_long) ((npy_long) 0 - (npy_long) 1), const_zero = (npy_long) 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if (sizeof(npy_long) < sizeof(long)) {
            __PYX_VERIFY_RETURN_INT(npy_long, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (npy_long) val;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (npy_long) 0;
                case  1: __PYX_VERIFY_RETURN_INT(npy_long, digit, digits[0])
                case 2:
                    if (8 * sizeof(npy_long) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_long, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_long) >= 2 * PyLong_SHIFT) {
                            return (npy_long) (((((npy_long)digits[1]) << PyLong_SHIFT) | (npy_long)digits[0]));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(npy_long) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_long, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_long) >= 3 * PyLong_SHIFT) {
                            return (npy_long) (((((((npy_long)digits[2]) << PyLong_SHIFT) | (npy_long)digits[1]) << PyLong_SHIFT) | (npy_long)digits[0]));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(npy_long) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_long, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_long) >= 4 * PyLong_SHIFT) {
                            return (npy_long) (((((((((npy_long)digits[3]) << PyLong_SHIFT) | (npy_long)digits[2]) << PyLong_SHIFT) | (npy_long)digits[1]) << PyLong_SHIFT) | (npy_long)digits[0]));
                        }
                    }
                    break;
            }
#endif
#if CYTHON_COMPILING_IN_CPYTHON
            if (unlikely(Py_SIZE(x) < 0)) {
                goto raise_neg_overflow;
            }
#else
            {
                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                if (unlikely(result < 0))
                    return (npy_long) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if (sizeof(npy_long) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT_EXC(npy_long, unsigned long, PyLong_AsUnsignedLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(npy_long) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(npy_long, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
#endif
            }
        } else {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (npy_long) 0;
                case -1: __PYX_VERIFY_RETURN_INT(npy_long, sdigit, (sdigit) (-(sdigit)digits[0]))
                case  1: __PYX_VERIFY_RETURN_INT(npy_long,  digit, +digits[0])
                case -2:
                    if (8 * sizeof(npy_long) - 1 > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_long, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_long) - 1 > 2 * PyLong_SHIFT) {
                            return (npy_long) (((npy_long)-1)*(((((npy_long)digits[1]) << PyLong_SHIFT) | (npy_long)digits[0])));
                        }
                    }
                    break;
                case 2:
                    if (8 * sizeof(npy_long) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_long, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_long) - 1 > 2 * PyLong_SHIFT) {
                            return (npy_long) ((((((npy_long)digits[1]) << PyLong_SHIFT) | (npy_long)digits[0])));
                        }
                    }
                    break;
                case -3:
                    if (8 * sizeof(npy_long) - 1 > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_long, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_long) - 1 > 3 * PyLong_SHIFT) {
                            return (npy_long) (((npy_long)-1)*(((((((npy_long)digits[2]) << PyLong_SHIFT) | (npy_long)digits[1]) << PyLong_SHIFT) | (npy_long)digits[0])));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(npy_long) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_long, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_long) - 1 > 3 * PyLong_SHIFT) {
                            return (npy_long) ((((((((npy_long)digits[2]) << PyLong_SHIFT) | (npy_long)digits[1]) << PyLong_SHIFT) | (npy_long)digits[0])));
                        }
                    }
                    break;
                case -4:
                    if (8 * sizeof(npy_long) - 1 > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_long, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_long) - 1 > 4 * PyLong_SHIFT) {
                            return (npy_long) (((npy_long)-1)*(((((((((npy_long)digits[3]) << PyLong_SHIFT) | (npy_long)digits[2]) << PyLong_SHIFT) | (npy_long)digits[1]) << PyLong_SHIFT) | (npy_long)digits[0])));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(npy_long) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_long, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_long) - 1 > 4 * PyLong_SHIFT) {
                            return (npy_long) ((((((((((npy_long)digits[3]) << PyLong_SHIFT) | (npy_long)digits[2]) << PyLong_SHIFT) | (npy_long)digits[1]) << PyLong_SHIFT) | (npy_long)digits[0])));
                        }
                    }
                    break;
            }
#endif
            if (sizeof(npy_long) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT_EXC(npy_long, long, PyLong_AsLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(npy_long) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(npy_long, PY_LONG_LONG, PyLong_AsLongLong(x))
#endif
            }
        }
        {
#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
#else
            npy_long val;
            PyObject *v = __Pyx_PyNumber_IntOrLong(x);
 #if PY_MAJOR_VERSION < 3
            if (likely(v) && !PyLong_Check(v)) {
                PyObject *tmp = v;
                v = PyNumber_Long(tmp);
                Py_DECREF(tmp);
            }
 #endif
            if (likely(v)) {
                int one = 1; int is_little = (int)*(unsigned char *)&one;
                unsigned char *bytes = (unsigned char *)&val;
                int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                              bytes, sizeof(val),
                                              is_little, !is_unsigned);
                Py_DECREF(v);
                if (likely(!ret))
                    return val;
            }
#endif
            return (npy_long) -1;
        }
    } else {
        npy_long val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (npy_long) -1;
        val = __Pyx_PyInt_As_npy_long(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to npy_long");
    return (npy_long) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to npy_long");
    return (npy_long) -1;
}

/* CIntFromPy */
          static CYTHON_INLINE npy_int32 __Pyx_PyInt_As_npy_int32(PyObject *x) {
    const npy_int32 neg_one = (npy_int32) ((npy_int32) 0 - (npy_int32) 1), const_zero = (npy_int32) 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if (sizeof(npy_int32) < sizeof(long)) {
            __PYX_VERIFY_RETURN_INT(npy_int32, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (npy_int32) val;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (npy_int32) 0;
                case  1: __PYX_VERIFY_RETURN_INT(npy_int32, digit, digits[0])
                case 2:
                    if (8 * sizeof(npy_int32) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int32, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_int32) >= 2 * PyLong_SHIFT) {
                            return (npy_int32) (((((npy_int32)digits[1]) << PyLong_SHIFT) | (npy_int32)digits[0]));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(npy_int32) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int32, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_int32) >= 3 * PyLong_SHIFT) {
                            return (npy_int32) (((((((npy_int32)digits[2]) << PyLong_SHIFT) | (npy_int32)digits[1]) << PyLong_SHIFT) | (npy_int32)digits[0]));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(npy_int32) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int32, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_int32) >= 4 * PyLong_SHIFT) {
                            return (npy_int32) (((((((((npy_int32)digits[3]) << PyLong_SHIFT) | (npy_int32)digits[2]) << PyLong_SHIFT) | (npy_int32)digits[1]) << PyLong_SHIFT) | (npy_int32)digits[0]));
                        }
                    }
                    break;
            }
#endif
#if CYTHON_COMPILING_IN_CPYTHON
            if (unlikely(Py_SIZE(x) < 0)) {
                goto raise_neg_overflow;
            }
#else
            {
                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                if (unlikely(result < 0))
                    return (npy_int32) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if (sizeof(npy_int32) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT_EXC(npy_int32, unsigned long, PyLong_AsUnsignedLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(npy_int32) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(npy_int32, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
#endif
            }
        } else {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (npy_int32) 0;
                case -1: __PYX_VERIFY_RETURN_INT(npy_int32, sdigit, (sdigit) (-(sdigit)digits[0]))
                case  1: __PYX_VERIFY_RETURN_INT(npy_int32,  digit, +digits[0])
                case -2:
                    if (8 * sizeof(npy_int32) - 1 > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int32, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_int32) - 1 > 2 * PyLong_SHIFT) {
                            return (npy_int32) (((npy_int32)-1)*(((((npy_int32)digits[1]) << PyLong_SHIFT) | (npy_int32)digits[0])));
                        }
                    }
                    break;
                case 2:
                    if (8 * sizeof(npy_int32) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int32, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_int32) - 1 > 2 * PyLong_SHIFT) {
                            return (npy_int32) ((((((npy_int32)digits[1]) << PyLong_SHIFT) | (npy_int32)digits[0])));
                        }
                    }
                    break;
                case -3:
                    if (8 * sizeof(npy_int32) - 1 > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int32, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_int32) - 1 > 3 * PyLong_SHIFT) {
                            return (npy_int32) (((npy_int32)-1)*(((((((npy_int32)digits[2]) << PyLong_SHIFT) | (npy_int32)digits[1]) << PyLong_SHIFT) | (npy_int32)digits[0])));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(npy_int32) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int32, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_int32) - 1 > 3 * PyLong_SHIFT) {
                            return (npy_int32) ((((((((npy_int32)digits[2]) << PyLong_SHIFT) | (npy_int32)digits[1]) << PyLong_SHIFT) | (npy_int32)digits[0])));
                        }
                    }
                    break;
                case -4:
                    if (8 * sizeof(npy_int32) - 1 > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int32, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_int32) - 1 > 4 * PyLong_SHIFT) {
                            return (npy_int32) (((npy_int32)-1)*(((((((((npy_int32)digits[3]) << PyLong_SHIFT) | (npy_int32)digits[2]) << PyLong_SHIFT) | (npy_int32)digits[1]) << PyLong_SHIFT) | (npy_int32)digits[0])));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(npy_int32) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int32, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_int32) - 1 > 4 * PyLong_SHIFT) {
                            return (npy_int32) ((((((((((npy_int32)digits[3]) << PyLong_SHIFT) | (npy_int32)digits[2]) << PyLong_SHIFT) | (npy_int32)digits[1]) << PyLong_SHIFT) | (npy_int32)digits[0])));
                        }
                    }
                    break;
            }
#endif
            if (sizeof(npy_int32) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT_EXC(npy_int32, long, PyLong_AsLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(npy_int32) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(npy_int32, PY_LONG_LONG, PyLong_AsLongLong(x))
#endif
            }
        }
        {
#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
#else
            npy_int32 val;
            PyObject *v = __Pyx_PyNumber_IntOrLong(x);
 #if PY_MAJOR_VERSION < 3
            if (likely(v) && !PyLong_Check(v)) {
                PyObject *tmp = v;
                v = PyNumber_Long(tmp);
                Py_DECREF(tmp);
            }
 #endif
            if (likely(v)) {
                int one = 1; int is_little = (int)*(unsigned char *)&one;
                unsigned char *bytes = (unsigned char *)&val;
                int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                              bytes, sizeof(val),
                                              is_little, !is_unsigned);
                Py_DECREF(v);
                if (likely(!ret))
                    return val;
            }
#endif
            return (npy_int32) -1;
        }
    } else {
        npy_int32 val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (npy_int32) -1;
        val = __Pyx_PyInt_As_npy_int32(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to npy_int32");
    return (npy_int32) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to npy_int32");
    return (npy_int32) -1;
}

/* CIntFromPy */
          static CYTHON_INLINE size_t __Pyx_PyInt_As_size_t(PyObject *x) {
    const size_t neg_one = (size_t) ((size_t) 0 - (size_t) 1), const_zero = (size_t) 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if (sizeof(size_t) < sizeof(long)) {
            __PYX_VERIFY_RETURN_INT(size_t, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (size_t) val;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (size_t) 0;
                case  1: __PYX_VERIFY_RETURN_INT(size_t, digit, digits[0])
                case 2:
                    if (8 * sizeof(size_t) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(size_t, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(size_t) >= 2 * PyLong_SHIFT) {
                            return (size_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(size_t) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(size_t, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(size_t) >= 3 * PyLong_SHIFT) {
                            return (size_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(size_t) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(size_t, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(size_t) >= 4 * PyLong_SHIFT) {
                            return (size_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
                        }
                    }
                    break;
            }
#endif
#if CYTHON_COMPILING_IN_CPYTHON
            if (unlikely(Py_SIZE(x) < 0)) {
                goto raise_neg_overflow;
            }
#else
            {
                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                if (unlikely(result < 0))
                    return (size_t) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if (sizeof(size_t) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT_EXC(size_t, unsigned long, PyLong_AsUnsignedLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(size_t) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(size_t, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
#endif
            }
        } else {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (size_t) 0;
                case -1: __PYX_VERIFY_RETURN_INT(size_t, sdigit, (sdigit) (-(sdigit)digits[0]))
                case  1: __PYX_VERIFY_RETURN_INT(size_t,  digit, +digits[0])
                case -2:
                    if (8 * sizeof(size_t) - 1 > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(size_t, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(size_t) - 1 > 2 * PyLong_SHIFT) {
                            return (size_t) (((size_t)-1)*(((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0])));
                        }
                    }
                    break;
                case 2:
                    if (8 * sizeof(size_t) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(size_t, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(size_t) - 1 > 2 * PyLong_SHIFT) {
                            return (size_t) ((((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0])));
                        }
                    }
                    break;
                case -3:
                    if (8 * sizeof(size_t) - 1 > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(size_t, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(size_t) - 1 > 3 * PyLong_SHIFT) {
                            return (size_t) (((size_t)-1)*(((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0])));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(size_t) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(size_t, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(size_t) - 1 > 3 * PyLong_SHIFT) {
                            return (size_t) ((((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0])));
                        }
                    }
                    break;
                case -4:
                    if (8 * sizeof(size_t) - 1 > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(size_t, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(size_t) - 1 > 4 * PyLong_SHIFT) {
                            return (size_t) (((size_t)-1)*(((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0])));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(size_t) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(size_t, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(size_t) - 1 > 4 * PyLong_SHIFT) {
                            return (size_t) ((((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0])));
                        }
                    }
                    break;
            }
#endif
            if (sizeof(size_t) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT_EXC(size_t, long, PyLong_AsLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(size_t) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(size_t, PY_LONG_LONG, PyLong_AsLongLong(x))
#endif
            }
        }
        {
#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
#else
            size_t val;
            PyObject *v = __Pyx_PyNumber_IntOrLong(x);
 #if PY_MAJOR_VERSION < 3
            if (likely(v) && !PyLong_Check(v)) {
                PyObject *tmp = v;
                v = PyNumber_Long(tmp);
                Py_DECREF(tmp);
            }
 #endif
            if (likely(v)) {
                int one = 1; int is_little = (int)*(unsigned char *)&one;
                unsigned char *bytes = (unsigned char *)&val;
                int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                              bytes, sizeof(val),
                                              is_little, !is_unsigned);
                Py_DECREF(v);
                if (likely(!ret))
                    return val;
            }
#endif
            return (size_t) -1;
        }
    } else {
        size_t val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (size_t) -1;
        val = __Pyx_PyInt_As_size_t(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to size_t");
    return (size_t) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to size_t");
    return (size_t) -1;
}

/* BytesContains */
          static CYTHON_INLINE int __Pyx_BytesContains(PyObject* bytes, char character) {
    const Py_ssize_t length = PyBytes_GET_SIZE(bytes);
    char* char_start = PyBytes_AS_STRING(bytes);
    return memchr(char_start, (unsigned char)character, (size_t)length) != NULL;
}

/* ImportNumPyArray */
          static PyObject* __Pyx__ImportNumPyArray(void) {
    PyObject *numpy_module, *ndarray_object = NULL;
    numpy_module = __Pyx_Import(__pyx_n_s_numpy, NULL, 0);
    if (likely(numpy_module)) {
        ndarray_object = PyObject_GetAttrString(numpy_module, "ndarray");
        Py_DECREF(numpy_module);
    }
    if (unlikely(!ndarray_object)) {
        PyErr_Clear();
    }
    if (unlikely(!ndarray_object || !PyObject_TypeCheck(ndarray_object, &PyType_Type))) {
        Py_XDECREF(ndarray_object);
        Py_INCREF(Py_None);
        ndarray_object = Py_None;
    }
    return ndarray_object;
}
static CYTHON_INLINE PyObject* __Pyx_ImportNumPyArrayTypeIfAvailable(void) {
    if (unlikely(!__pyx_numpy_ndarray)) {
        __pyx_numpy_ndarray = __Pyx__ImportNumPyArray();
    }
    Py_INCREF(__pyx_numpy_ndarray);
    return __pyx_numpy_ndarray;
}

/* CIntFromPy */
          static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *x) {
    const long neg_one = (long) ((long) 0 - (long) 1), const_zero = (long) 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if (sizeof(long) < sizeof(long)) {
            __PYX_VERIFY_RETURN_INT(long, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (long) val;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (long) 0;
                case  1: __PYX_VERIFY_RETURN_INT(long, digit, digits[0])
                case 2:
                    if (8 * sizeof(long) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) >= 2 * PyLong_SHIFT) {
                            return (long) (((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(long) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) >= 3 * PyLong_SHIFT) {
                            return (long) (((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(long) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) >= 4 * PyLong_SHIFT) {
                            return (long) (((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
                        }
                    }
                    break;
            }
#endif
#if CYTHON_COMPILING_IN_CPYTHON
            if (unlikely(Py_SIZE(x) < 0)) {
                goto raise_neg_overflow;
            }
#else
            {
                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                if (unlikely(result < 0))
                    return (long) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if (sizeof(long) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT_EXC(long, unsigned long, PyLong_AsUnsignedLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(long, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
#endif
            }
        } else {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (long) 0;
                case -1: __PYX_VERIFY_RETURN_INT(long, sdigit, (sdigit) (-(sdigit)digits[0]))
                case  1: __PYX_VERIFY_RETURN_INT(long,  digit, +digits[0])
                case -2:
                    if (8 * sizeof(long) - 1 > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                            return (long) (((long)-1)*(((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
                case 2:
                    if (8 * sizeof(long) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                            return (long) ((((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
                case -3:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                            return (long) (((long)-1)*(((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(long) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                            return (long) ((((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
                case -4:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                            return (long) (((long)-1)*(((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(long) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                            return (long) ((((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
            }
#endif
            if (sizeof(long) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT_EXC(long, long, PyLong_AsLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(long, PY_LONG_LONG, PyLong_AsLongLong(x))
#endif
            }
        }
        {
#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
#else
            long val;
            PyObject *v = __Pyx_PyNumber_IntOrLong(x);
 #if PY_MAJOR_VERSION < 3
            if (likely(v) && !PyLong_Check(v)) {
                PyObject *tmp = v;
                v = PyNumber_Long(tmp);
                Py_DECREF(tmp);
            }
 #endif
            if (likely(v)) {
                int one = 1; int is_little = (int)*(unsigned char *)&one;
                unsigned char *bytes = (unsigned char *)&val;
                int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                              bytes, sizeof(val),
                                              is_little, !is_unsigned);
                Py_DECREF(v);
                if (likely(!ret))
                    return val;
            }
#endif
            return (long) -1;
        }
    } else {
        long val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (long) -1;
        val = __Pyx_PyInt_As_long(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to long");
    return (long) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to long");
    return (long) -1;
}

/* CIntFromPy */
          static CYTHON_INLINE char __Pyx_PyInt_As_char(PyObject *x) {
    const char neg_one = (char) ((char) 0 - (char) 1), const_zero = (char) 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if (sizeof(char) < sizeof(long)) {
            __PYX_VERIFY_RETURN_INT(char, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (char) val;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (char) 0;
                case  1: __PYX_VERIFY_RETURN_INT(char, digit, digits[0])
                case 2:
                    if (8 * sizeof(char) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(char) >= 2 * PyLong_SHIFT) {
                            return (char) (((((char)digits[1]) << PyLong_SHIFT) | (char)digits[0]));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(char) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(char) >= 3 * PyLong_SHIFT) {
                            return (char) (((((((char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0]));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(char) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(char) >= 4 * PyLong_SHIFT) {
                            return (char) (((((((((char)digits[3]) << PyLong_SHIFT) | (char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0]));
                        }
                    }
                    break;
            }
#endif
#if CYTHON_COMPILING_IN_CPYTHON
            if (unlikely(Py_SIZE(x) < 0)) {
                goto raise_neg_overflow;
            }
#else
            {
                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                if (unlikely(result < 0))
                    return (char) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if (sizeof(char) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT_EXC(char, unsigned long, PyLong_AsUnsignedLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(char) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(char, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
#endif
            }
        } else {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (char) 0;
                case -1: __PYX_VERIFY_RETURN_INT(char, sdigit, (sdigit) (-(sdigit)digits[0]))
                case  1: __PYX_VERIFY_RETURN_INT(char,  digit, +digits[0])
                case -2:
                    if (8 * sizeof(char) - 1 > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(char, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(char) - 1 > 2 * PyLong_SHIFT) {
                            return (char) (((char)-1)*(((((char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));
                        }
                    }
                    break;
                case 2:
                    if (8 * sizeof(char) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(char) - 1 > 2 * PyLong_SHIFT) {
                            return (char) ((((((char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));
                        }
                    }
                    break;
                case -3:
                    if (8 * sizeof(char) - 1 > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(char, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(char) - 1 > 3 * PyLong_SHIFT) {
                            return (char) (((char)-1)*(((((((char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(char) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(char) - 1 > 3 * PyLong_SHIFT) {
                            return (char) ((((((((char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));
                        }
                    }
                    break;
                case -4:
                    if (8 * sizeof(char) - 1 > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(char, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(char) - 1 > 4 * PyLong_SHIFT) {
                            return (char) (((char)-1)*(((((((((char)digits[3]) << PyLong_SHIFT) | (char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(char) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(char) - 1 > 4 * PyLong_SHIFT) {
                            return (char) ((((((((((char)digits[3]) << PyLong_SHIFT) | (char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));
                        }
                    }
                    break;
            }
#endif
            if (sizeof(char) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT_EXC(char, long, PyLong_AsLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(char) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(char, PY_LONG_LONG, PyLong_AsLongLong(x))
#endif
            }
        }
        {
#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
#else
            char val;
            PyObject *v = __Pyx_PyNumber_IntOrLong(x);
 #if PY_MAJOR_VERSION < 3
            if (likely(v) && !PyLong_Check(v)) {
                PyObject *tmp = v;
                v = PyNumber_Long(tmp);
                Py_DECREF(tmp);
            }
 #endif
            if (likely(v)) {
                int one = 1; int is_little = (int)*(unsigned char *)&one;
                unsigned char *bytes = (unsigned char *)&val;
                int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                              bytes, sizeof(val),
                                              is_little, !is_unsigned);
                Py_DECREF(v);
                if (likely(!ret))
                    return val;
            }
#endif
            return (char) -1;
        }
    } else {
        char val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (char) -1;
        val = __Pyx_PyInt_As_char(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to char");
    return (char) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to char");
    return (char) -1;
}

/* ObjectToMemviewSlice */
          static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dc_nn___pyx_t_5pyFAI_3ext_11_distortion_acc_t(PyObject *obj, int writable_flag) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_CONTIG) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, __Pyx_IS_C_CONTIG,
                                                 (PyBUF_C_CONTIGUOUS | PyBUF_FORMAT) | writable_flag, 1,
                                                 &__Pyx_TypeInfo_nn___pyx_t_5pyFAI_3ext_11_distortion_acc_t, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
          static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dc_nn___pyx_t_5pyFAI_3ext_11_distortion_data_t(PyObject *obj, int writable_flag) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_CONTIG) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, __Pyx_IS_C_CONTIG,
                                                 (PyBUF_C_CONTIGUOUS | PyBUF_FORMAT) | writable_flag, 1,
                                                 &__Pyx_TypeInfo_nn___pyx_t_5pyFAI_3ext_11_distortion_data_t, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
          static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dc_nn___pyx_t_5numpy_int32_t(PyObject *obj, int writable_flag) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_CONTIG) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, __Pyx_IS_C_CONTIG,
                                                 (PyBUF_C_CONTIGUOUS | PyBUF_FORMAT) | writable_flag, 1,
                                                 &__Pyx_TypeInfo_nn___pyx_t_5numpy_int32_t, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
          static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_dc_nn___pyx_t_5numpy_int32_t(PyObject *obj, int writable_flag) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_FOLLOW), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_CONTIG) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, __Pyx_IS_C_CONTIG,
                                                 (PyBUF_C_CONTIGUOUS | PyBUF_FORMAT) | writable_flag, 2,
                                                 &__Pyx_TypeInfo_nn___pyx_t_5numpy_int32_t, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
          static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsds_int(PyObject *obj, int writable_flag) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, 0,
                                                 PyBUF_RECORDS_RO | writable_flag, 2,
                                                 &__Pyx_TypeInfo_int, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
          static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_dc_nn___pyx_t_5numpy_float32_t(PyObject *obj, int writable_flag) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_FOLLOW), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_CONTIG) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, __Pyx_IS_C_CONTIG,
                                                 (PyBUF_C_CONTIGUOUS | PyBUF_FORMAT) | writable_flag, 2,
                                                 &__Pyx_TypeInfo_nn___pyx_t_5numpy_float32_t, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
          static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsdsds_nn_struct____pyx_t_5pyFAI_3ext_11_distortion_lut_t(PyObject *obj, int writable_flag) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[2];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, 0,
                                                 PyBUF_RECORDS_RO | writable_flag, 3,
                                                 &__Pyx_TypeInfo_nn_struct____pyx_t_5pyFAI_3ext_11_distortion_lut_t, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
          static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dc_int(PyObject *obj, int writable_flag) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_CONTIG) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, __Pyx_IS_C_CONTIG,
                                                 (PyBUF_C_CONTIGUOUS | PyBUF_FORMAT) | writable_flag, 1,
                                                 &__Pyx_TypeInfo_int, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
          static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dc_nn___pyx_t_5numpy_int8_t(PyObject *obj, int writable_flag) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_CONTIG) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, __Pyx_IS_C_CONTIG,
                                                 (PyBUF_C_CONTIGUOUS | PyBUF_FORMAT) | writable_flag, 1,
                                                 &__Pyx_TypeInfo_nn___pyx_t_5numpy_int8_t, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
          static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_ds_nn___pyx_t_5numpy_int8_t(PyObject *obj, int writable_flag) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, 0,
                                                 PyBUF_RECORDS_RO | writable_flag, 1,
                                                 &__Pyx_TypeInfo_nn___pyx_t_5numpy_int8_t, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
          static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_dc_int(PyObject *obj, int writable_flag) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_FOLLOW), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_CONTIG) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, __Pyx_IS_C_CONTIG,
                                                 (PyBUF_C_CONTIGUOUS | PyBUF_FORMAT) | writable_flag, 2,
                                                 &__Pyx_TypeInfo_int, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* CheckBinaryVersion */
          static int __Pyx_check_binary_version(void) {
    char ctversion[4], rtversion[4];
    PyOS_snprintf(ctversion, 4, "%d.%d", PY_MAJOR_VERSION, PY_MINOR_VERSION);
    PyOS_snprintf(rtversion, 4, "%s", Py_GetVersion());
    if (ctversion[0] != rtversion[0] || ctversion[2] != rtversion[2]) {
        char message[200];
        PyOS_snprintf(message, sizeof(message),
                      "compiletime version %s of module '%.100s' "
                      "does not match runtime version %s",
                      ctversion, __Pyx_MODULE_NAME, rtversion);
        return PyErr_WarnEx(NULL, message, 1);
    }
    return 0;
}

/* InitStrings */
          static int __Pyx_InitStrings(__Pyx_StringTabEntry *t) {
    while (t->p) {
        #if PY_MAJOR_VERSION < 3
        if (t->is_unicode) {
            *t->p = PyUnicode_DecodeUTF8(t->s, t->n - 1, NULL);
        } else if (t->intern) {
            *t->p = PyString_InternFromString(t->s);
        } else {
            *t->p = PyString_FromStringAndSize(t->s, t->n - 1);
        }
        #else
        if (t->is_unicode | t->is_str) {
            if (t->intern) {
                *t->p = PyUnicode_InternFromString(t->s);
            } else if (t->encoding) {
                *t->p = PyUnicode_Decode(t->s, t->n - 1, t->encoding, NULL);
            } else {
                *t->p = PyUnicode_FromStringAndSize(t->s, t->n - 1);
            }
        } else {
            *t->p = PyBytes_FromStringAndSize(t->s, t->n - 1);
        }
        #endif
        if (!*t->p)
            return -1;
        if (PyObject_Hash(*t->p) == -1)
            return -1;
        ++t;
    }
    return 0;
}

static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char* c_str) {
    return __Pyx_PyUnicode_FromStringAndSize(c_str, (Py_ssize_t)strlen(c_str));
}
static CYTHON_INLINE const char* __Pyx_PyObject_AsString(PyObject* o) {
    Py_ssize_t ignore;
    return __Pyx_PyObject_AsStringAndSize(o, &ignore);
}
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
#if !CYTHON_PEP393_ENABLED
static const char* __Pyx_PyUnicode_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
    char* defenc_c;
    PyObject* defenc = _PyUnicode_AsDefaultEncodedString(o, NULL);
    if (!defenc) return NULL;
    defenc_c = PyBytes_AS_STRING(defenc);
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
    {
        char* end = defenc_c + PyBytes_GET_SIZE(defenc);
        char* c;
        for (c = defenc_c; c < end; c++) {
            if ((unsigned char) (*c) >= 128) {
                PyUnicode_AsASCIIString(o);
                return NULL;
            }
        }
    }
#endif
    *length = PyBytes_GET_SIZE(defenc);
    return defenc_c;
}
#else
static CYTHON_INLINE const char* __Pyx_PyUnicode_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
    if (unlikely(__Pyx_PyUnicode_READY(o) == -1)) return NULL;
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
    if (likely(PyUnicode_IS_ASCII(o))) {
        *length = PyUnicode_GET_LENGTH(o);
        return PyUnicode_AsUTF8(o);
    } else {
        PyUnicode_AsASCIIString(o);
        return NULL;
    }
#else
    return PyUnicode_AsUTF8AndSize(o, length);
#endif
}
#endif
#endif
static CYTHON_INLINE const char* __Pyx_PyObject_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
    if (
#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
            __Pyx_sys_getdefaultencoding_not_ascii &&
#endif
            PyUnicode_Check(o)) {
        return __Pyx_PyUnicode_AsStringAndSize(o, length);
    } else
#endif
#if (!CYTHON_COMPILING_IN_PYPY) || (defined(PyByteArray_AS_STRING) && defined(PyByteArray_GET_SIZE))
    if (PyByteArray_Check(o)) {
        *length = PyByteArray_GET_SIZE(o);
        return PyByteArray_AS_STRING(o);
    } else
#endif
    {
        char* result;
        int r = PyBytes_AsStringAndSize(o, &result, length);
        if (unlikely(r < 0)) {
            return NULL;
        } else {
            return result;
        }
    }
}
static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject* x) {
   int is_true = x == Py_True;
   if (is_true | (x == Py_False) | (x == Py_None)) return is_true;
   else return PyObject_IsTrue(x);
}
static CYTHON_INLINE int __Pyx_PyObject_IsTrueAndDecref(PyObject* x) {
    int retval;
    if (unlikely(!x)) return -1;
    retval = __Pyx_PyObject_IsTrue(x);
    Py_DECREF(x);
    return retval;
}
static PyObject* __Pyx_PyNumber_IntOrLongWrongResultType(PyObject* result, const char* type_name) {
#if PY_MAJOR_VERSION >= 3
    if (PyLong_Check(result)) {
        if (PyErr_WarnFormat(PyExc_DeprecationWarning, 1,
                "__int__ returned non-int (type %.200s).  "
                "The ability to return an instance of a strict subclass of int "
                "is deprecated, and may be removed in a future version of Python.",
                Py_TYPE(result)->tp_name)) {
            Py_DECREF(result);
            return NULL;
        }
        return result;
    }
#endif
    PyErr_Format(PyExc_TypeError,
                 "__%.4s__ returned non-%.4s (type %.200s)",
                 type_name, type_name, Py_TYPE(result)->tp_name);
    Py_DECREF(result);
    return NULL;
}
static CYTHON_INLINE PyObject* __Pyx_PyNumber_IntOrLong(PyObject* x) {
#if CYTHON_USE_TYPE_SLOTS
  PyNumberMethods *m;
#endif
  const char *name = NULL;
  PyObject *res = NULL;
#if PY_MAJOR_VERSION < 3
  if (likely(PyInt_Check(x) || PyLong_Check(x)))
#else
  if (likely(PyLong_Check(x)))
#endif
    return __Pyx_NewRef(x);
#if CYTHON_USE_TYPE_SLOTS
  m = Py_TYPE(x)->tp_as_number;
  #if PY_MAJOR_VERSION < 3
  if (m && m->nb_int) {
    name = "int";
    res = m->nb_int(x);
  }
  else if (m && m->nb_long) {
    name = "long";
    res = m->nb_long(x);
  }
  #else
  if (likely(m && m->nb_int)) {
    name = "int";
    res = m->nb_int(x);
  }
  #endif
#else
  if (!PyBytes_CheckExact(x) && !PyUnicode_CheckExact(x)) {
    res = PyNumber_Int(x);
  }
#endif
  if (likely(res)) {
#if PY_MAJOR_VERSION < 3
    if (unlikely(!PyInt_Check(res) && !PyLong_Check(res))) {
#else
    if (unlikely(!PyLong_CheckExact(res))) {
#endif
        return __Pyx_PyNumber_IntOrLongWrongResultType(res, name);
    }
  }
  else if (!PyErr_Occurred()) {
    PyErr_SetString(PyExc_TypeError,
                    "an integer is required");
  }
  return res;
}
static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject* b) {
  Py_ssize_t ival;
  PyObject *x;
#if PY_MAJOR_VERSION < 3
  if (likely(PyInt_CheckExact(b))) {
    if (sizeof(Py_ssize_t) >= sizeof(long))
        return PyInt_AS_LONG(b);
    else
        return PyInt_AsSsize_t(b);
  }
#endif
  if (likely(PyLong_CheckExact(b))) {
    #if CYTHON_USE_PYLONG_INTERNALS
    const digit* digits = ((PyLongObject*)b)->ob_digit;
    const Py_ssize_t size = Py_SIZE(b);
    if (likely(__Pyx_sst_abs(size) <= 1)) {
        ival = likely(size) ? digits[0] : 0;
        if (size == -1) ival = -ival;
        return ival;
    } else {
      switch (size) {
         case 2:
           if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -2:
           if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case 3:
           if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -3:
           if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case 4:
           if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -4:
           if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
      }
    }
    #endif
    return PyLong_AsSsize_t(b);
  }
  x = PyNumber_Index(b);
  if (!x) return -1;
  ival = PyInt_AsSsize_t(x);
  Py_DECREF(x);
  return ival;
}
static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(long b) {
  return b ? __Pyx_NewRef(Py_True) : __Pyx_NewRef(Py_False);
}
static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t ival) {
    return PyInt_FromSize_t(ival);
}


#endif /* Py_PYTHON_H */
