Fixed point 64.61 math library for Cairo / Starknet
Project description
Cairo Math 64x61
A fixed point 64.61 math library for Cairo & Starknet.
Usage
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.
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 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.
Trigonometry Library
Trig64x61
includes implementation of sin
, cos
, tan
and their inverses.
Hyperbolic Library
Hyp64x61
includes implementation of sinh
, cosh
, tanh
, and their inverses.
Vector Library
Vec64x61
includes implementation of vector arithmetic (add
, sub
, div
), dot product (dot
), cross product (cross
) and norm
.
Project details
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