rat

Scilab Function
Last update : 25/04/2007

rat - Floating point rational approximation

### Calling Sequence

  `[N,D]=rat(x [,tol])`
  `y=rat(x [,tol])`

### Parameters

- `x` : real vector or matrix
- `n` : integer vector or matrix
- `d` : integer vector or matrix
- `y` : real vector or matrix

### Description

`[N,D] = rat(x,tol)` returns two integer matrices so that `N./D` is close to`x` in the sense that `abs(N./D - X) <= tol*abs(x)` . The rational approximations are generated by truncating continued fraction expansions. `tol = 1.e-6*norm(X,1)` is the default. `y = rat(x,tol)` return the quotient `N./D`

### Examples

    [n,d]=rat(%pi)
    [n,d]=rat(%pi,1.d-12)
    n/d-%pi

### See Also

`int` , `round` ,