qmath.md

qmath: rational number library

local qmath = require "qmath"

qmath is taken from Libraries and tools for Lua.

qmath is a rational number library for Lua based on imath.

Standard qmath library

__add(x,y)          abs(x)              neg(x)
__div(x,y)          add(x,y)            new(x,[d])
__eq(x,y)           compare(x,y)        numer(x)
__le(x,y)           denom(x)            pow(x,y)
__lt(x,y)           div(x,y)            sign(x)
__mul(x,y)          int(x)              sub(x,y)
__pow(x,y)          inv(x)              todecimal(x,[n])
__sub(x,y)          isinteger(x)        tonumber(x)
__tostring(x)       iszero(x)           tostring(x)
__unm(x)            mul(x,y)            version

qmath additional functions

q = qmath.torat(x, [eps])

approximates a floating point number x with a rational value. The rational number q is an approximation of x such that $|q - x| < eps$. The default eps value is $10^{-6}$.