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Please note that the recommended version of Scilab is 6.1.0. This page might be outdated.
See the recommended documentation of this function

# rat

Floating point rational approximation

### Calling Sequence

```[N,D]=rat(X [,tol])
Y=rat(X [,tol])```

### Arguments

X

real vector or matrix

tol

real positive scalar, the tolerance (see below). Default value is 1d-6.

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*norm(X,1)*abs(X)`.

`y=rat(x,tol)` return the quotient `N./D`

The rational approximations are generated by truncating continued fraction expansions.

### Examples

```[n,d]=rat([3.5, 1.333333,-0.8])
[n,d]=rat(%pi)
[n,d]=rat(%pi,1.d-12)
n/d-%pi```

### See Also

• int — round towards zero
• round — round to nearest integer

### Comments

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