Liking cljdoc? Tell your friends :D

Clojars Project

fastmath

Fast and primitive based math library.

NOTE

Due to significant change in SMILE 2.x API I decided to remove ML namespaces: regression and classification. Possible scenarios are: separate library with ML elements or further development of Clojure bindings in SMILE directly.

Installation

[generateme/fastmath "2.1.0"]

Documentation with examples

Previous version

Based on SMILE 1.5.3 and including: regression and classification.

[generateme/fastmath "1.5.3"]

Documentation with examples

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
  • 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

Distributions

  • Collection of distributions (60+)

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
  • Warp noise

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.

Gaussian Processes

Gaussian Processes

Clustering

Various clustering algorithms including K-Means++, DBSCAN, CLARANS, DENCLUE, MEC, Spectral, Deterministic Annealing

Optimization

L-BFGS-B, 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
  • Smoothing filters: Savitzky-Golay, moving average, kernel smoothing

Other

Plenty of constant values

Almost all functions optimized to work with double and long primitives

Supporting libraries

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 - up to 1.5.2
  • MIT License - from 1.5.3

Copyright (c) 2020 generateme

Can you improve this documentation? These fine people already did:
tsulej, GenerateMe, genmeblog, generateme, teesel & Josef PospíšilEdit on GitHub

cljdoc is a website building & hosting documentation for Clojure/Script libraries

Keyboard shortcutsReport a problemcljdoc on GitHub
× close