fastmath

Fast and primitive based math library.

Installation

[generateme/fastmath "1.5.0-alpha1"]

Documentation

HERE

Content

PrimitiveMath

Code adopted from Zach Tellmans' library.

[* + - / > < >= <= == rem quot mod bit-or bit-and bit-xor bit-not bit-shift-left bit-shift-right unsigned-bit-shift-right inc dec zero? neg? pos? min max even? odd? bool-and bool-or bool-xor bool-not << >> >>> not==]

Math functions

• Trigonometric functions
• Power: log, ln, logb, exp, pow, sqrt
• Rounding functions: round, floor, ceil, trunc, frac, approx + other
• Normalizations: norm wrap, constrain
• Interpolations: lerp, cos-interpolation, smooth-interpolation, quad-interpolation, smoothstep
• Special functions: erf, beta, gamma + other
• Distance: dist, hypot
• Sign: sgn, signum, abs
• Other: gcd

Most of them backed by Jafama FastMath 2.3.1 or Apache Commons Math 3.6.1

Vector operations protocol and implementations

• 2d (Vec2), 3d (Vec3) and 4d (Vec4) vector types.
• ArrayVector for fixed length long vectors (fixed sized double-array)
• Clojure vector, double array, Number (as 1d vector)

With following groups of functions:

• Basic linear operations: add, mult, div, sub, dot, cross, hadamard product
• mag, magsq, heading, angle-between, limit, normalize
• rotations (2d,3d)
• translations (2d, 3d)
• various distances
• centroid, interpolations
• and other

Complex number functions

• primitive operations: mult, div, add, sub
• abs, arg, conjugate, reciprocal, neg
• atan, asin, acos, csc, sec, tanh, tan, sinh, sin, cosh, cos
• log, exp, pow
• sqrt, sq, sqrt1z

Random numbers

• Collection of random number generators
• Collection of distributions
• Random generator functions for each primitive type (drand - double, lrand - long, frand - float, irand - int)
• Additional RNG functions: brand - true/false, grand - gaussian distributed double
• Random sequences: from distribution, halton, sobol, R2, sphere, uniform

Noise

• 4 noise types: value, gradient, simplex, discrete
• 3 noise blends: fbm, ridgedmulti, billow
• Ready to use fbm functions: noise (perlin), vnoise (value noise), simplex

Statistics

• Descriptive statistics: size, min, max, mode, mean, median, percentiles, kurtosis, skewness, IQR, LAV, UAV and other
• Correlations
• t-test
• ACF/PACF
• histogram
• Bootstrap
• Confidence intervals

Interpolations

1d, 2d interpolations

Easings

Several easing functions (in, out, in-out)

Transforms

• Wavelets: 1d, 2d (haar, biorthogonal, symlet, coiflet, daubechies, legendre)
• 1d Fast Sine, Cosine and Hadamard

Vector fields

Great collection (100+) of R^2->R^2 functions.

Clustering

SMILE bindings for clustering

Classifcations

SMILE, LIBLINEAR classification bindings

Regression

• SMILE regression bindings
• extended Gaussian Processes

Optimization

Gradient, Nelder-Mead, Simplex, Powell, BOBYQA, CMAES, BayesianOptimizer

Grids

Hexagonal, squared, triangular, rhomboidal grid functions

Kernels

Collection of various kernels (density, RBF, correlation)

Signal

Signal (audio) processing filters and oscillators

Other

Plenty of constant values

Almost all functions optimized to work on double and long primitives

Supporting libraries

• Apache Commons Math 3.6.1 - Apache 2.0 Licence
• SMILE 1.5.1 - Apache 2.0 Licence
• Jafama FastMath 2.3.1 - Apache 2.0 Licence
• PrimitiveMath - MIT Licence
• JWave - MIT Licence
• SSJ - Apache 2.0 Licence

Alternatives

Since this library is only JVM version, you can check following Clojure/ClojureScript libraries as replacement

• PrimitiveMath - for primitive operators
• Kixi stats - for pure clj(s) statistics/distributions (tends to be 2-10x slower)
• thi.ng - for vectors, general math, noise, complex numbers, transforms (fourier)
• vectorz-clj - fast vector operations
• Incanter - statistics/distributions/probability

Java

Java classes are compiled for java 1.8

How To Help

If you see place of improvement, I'm accepting PRs.

Licence

The Unlicence