# paramfplot2d

animated plot of a 2D parametrized curve.

## Calling Sequence

    paramfplot2d(f,x,theta)
                paramfplot2d(f,x,theta,flag)
                paramfplot2d(f,x,theta,flag,rect)

## Arguments

x

  real vector.

f

  function `y=f(x,t)` . f is a Scilab function or a dynamically linked routine (referred to as a string).

theta

  real vector (set of parameters).

flag

  string `'no'` or `'yes'`: If "yes" screen is not cleared between two consecutive plots.

rect

  "rectangle" [xmin, xmax, ymin, ymax] (1 x 4 real vector),

## Description

Animated plot of the function `x`, `t`-->`f(x,t)` for `t=theta(1),theta(2),etc`. `f` can be a either Scilab function or a dynamically linked routine since `y=f(x,t)` is evaluated as `y=feval(x(:),t,f)`. See feval.

`f` is a mapping `x`, `t`--> `f(x,t) = R^N` valued function for `x` a vector of `R^N` and `t` a real number.

## Examples

    deff('y=f(x,t)','y=t*sin(x)')
    x=linspace(0,2*%pi,50);
    theta=0:0.05:1;
    clf;paramfplot2d(f,x,theta);

    function V=twosoliton(x,t)
      a1=6;s1=2;v1=a1^2;
      a2=4;s2=40;v2=a2^2;

      f1=exp(-a1*(x-s1-v1*t));
      f2=exp(-a2*(x-s2-v2*t));
      r=((a2-1)/(a2+a1))^2;
      V=2*(v1*f1+v2*f2+2*(a2-a1)^2*f1.*f2+r*(v2*(f1.^2).*f2+v1*f1.*(f2.^2)))./((1+f1+f2+r*f1.*f2).^2);
    endfunction
    x=linspace(1,100,3000);
    clf;paramfplot2d(twosoliton,x,0:0.05:3);

## See Also

- comet
- plot2d
- feval
- fplot2d