For Cairo 1 see the successor project (WIP) here: https://github.com/influenceth/cubit
A fixed point 64.61 math library for Cairo & Starknet.
Install with pip install cairo_math_64x61 and import and use with from cairo_math_64x61.math64x61 import Math64x61. Previous installation as an npm module has been deprecated, the last available npm module is v1.2.0. Starting with v2.0.0 the library utilizes Cairo 0.10 syntax and simplifies return values from objects to simple felts wherever possible.
A signed 64.61-bit fixed point number is a fraction in which the numerator is a signed 125-bit integer and the denominator is 2^61. Since the denominator stays the same there is no need to store it (as in a floating point value).
64.61 is utilized as the 125 bit representation allows for overflow up to 2^125 * 2^125 (250 bits) during calculation taking advantage of Cairo's 251 bit felts.
Can represent values in the range of -2^64 to 2^64 with precision to 4.34e-19.
Math64x61 includes implementation of add, sub, mul, div, sqrt, exp, ln, log2, log10, and pow as well as conversion to / from felts and Uint256 values, floor, ceil, min, max and assertion methods.
Trig64x61 includes implementation of sin, cos, tan and their inverses.
Hyp64x61 includes implementation of sinh, cosh, tanh, and their inverses.
Vec64x61 includes implementation of vector arithmetic (add, sub, div), dot product (dot), cross product (cross) and norm.