uiua-math is a library of mathematical functions for the Uiua programming language.
The library requires # Experimental! due to usage of the fft function (for RPFFT and FFTConvolve) and internal usage of experimental stack manipulation modifiers.
Import the whole lib
Math ~ "git: github.com/Omnikar/uiua-math"
or import select functions
~ "git: github.com/Omnikar/uiua-math" ~ QRot Qqp RQuat
Feel free to PR
Functions list (see in-code documentation for more detail)
| Function | Description |
|---|---|
Mean |
Arithmetic mean |
GMean |
Geometric mean |
HMean |
Harmonic mean |
QMean |
Quadratic mean |
Median |
Median |
Var |
Variance |
Stdev |
Standard deviation |
MDet |
Matrix determinant |
Mgje |
Matrix Gauss-Jordan Elimination |
MCof |
Matrix cofactors |
MInv |
Matrix inverse |
Dot |
Dot product |
Cross |
Cross product |
Mmp |
Matrix product |
Mvp |
Matrix-vector product |
Mpow |
Matrix power |
Qqp |
Quaternion product |
RQuat |
Create 3D rotation quaternions |
QRot |
Rotate a 3D vector array using a quaternion array |
Fact |
Pervasive factorial |
Gamma |
Gamma function |
GCD |
Greatest common divisor |
LCM |
Least common multiple |
Base |
Encode an array of numbers into digits of a given base |
ModInv |
Inverse of N modulo M |
ModOrd |
Multiplicative order of N modulo M |
Binom |
Binomial coefficient aka N choose K |
CFrac |
Convert a number X to a continued fraction to N terms |
Erf |
Error function |
DistRand |
Seeded random indices from a distribution array |
BoxMuller |
Box-muller transform: generate pairs of normally distributed values given pairs of uniformly distributed values |
Gaussian |
Generate a 2 dimensional square Gaussian kernel |
BinomPmf |
Binomial distribution |
BinomCmf |
Cumulative binomial distribution |
GeomPmf |
Geometric distribution (0-indexed) |
GeomCmf |
Cumulative geometric distribution (0-indexed) |
PoissonPmf |
Poisson distribution |
PoissonCmf |
Cumulative Poisson distribution |
NormalPdf |
Normal distribution |
NormalCdf |
Cumulative normal distribution |
Perms |
Permutations of N items |
Quad |
Po-Shen quadratic solver |
PSet |
Powerset of a list |
RPFFT |
Rank-polymorphic fast fourier transform |
FFTConvolve |
Rank-polymorphic convolution using fast fourier transform |