rat

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 toX 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