# boolean

Scilab Objects, boolean variables and operators & | ~

## Description

A boolean variable is `%T` (for "true") or `%F` (for "false"). These variables can be used to define matrices of booleans, with the usual syntax. Boolean matrices can be manipulated as ordinary matrices for elements extraction/insertion and concatenation.

Note that other usual operations (`+`, `*`, `-`, `^`, etc) are undefined for boolean matrices. Three special operators are defined for boolean matrices:

~b

  is the element-wise negation of boolean `b` (matrix).

b1 & b2

  is the element-wise logical `and` of `b1` and `b2` (matrices).

b1 | b2

  is the element-wise logical `or` of `b1` and `b2` (matrices).

Boolean variables can be used for indexing matrices or vectors. For instance `a([%T,%F,%T],:)` returns the submatrix made of rows `1` and `3` of `a`. Boolean sparse matrices are supported.

## Examples

    [1,2]==[1,3]
    [1,2]==1
    a=1:5; a(a>2)

## See Also

- matrices
- or
- and
- not