Cairo Math 64×61
A fixed point 64.61 math library for Cairo & Starknet
Signed 64.61 Fixed Point Numbers
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.
Standard Library
Math64x61 includes implementation of mul, div, sqrt, exp, ln, log2, log10, and pow as well as conversion and assertion methods.
Trigonometry Library
Trig64x61 includes implementation of sin, cos, tan and their inverses.
Hyperbolic Library
Hyp64x61 includes implementation of sinh, cosh, tanh, and their inverses.
Extensibility
This library strives to adhere to the OpenZeppelin extensibility pattern: https://github.com/OpenZeppelin/cairo-contracts/blob/main/docs/Extensibility.md
