Name: GaussQuadIntegration Version: 0.1 Stability: Experimental Author: Grigory Sarnitsky Maintainer: Grigory Sarnitsky License: BSD3 License-file: LICENSE Build-type: Simple Cabal-version: >=1.2 Category: Math Synopsis: Non-adaptive Gaussian quadrature for numeric integraton Description: This package provides means for numeric integration with a Gaussian quadrature. Precisely, it incorporates non-adaptive approximation for definite integrals using 128-, 256-, 512- and 1024-point Gaussian quadrature rule. For example, to find the approximation of an integral with a 256-point rule: . > ╭ a > │ f(x) dx = nIntegrate256 f a b > ╯ b . > > nIntegrate256 (\x -> x^999) 0 1 > 9.999999999999887e-4 . The type of a function here is not confined only by Double -> Double, indeed one can use any instance of Fractional: . > > nIntegrate256 (\x -> x^999 :: Fixed Prec50) 0 1 > 0.00100000000000000000000000000000000000000000000009 . 128 and 256 rules are given with the accuracy of 50 digits, 512 --- with 35 digits (roughly quad), all of them were computed by myself. 1024-point rule was taken from the Gauss-Legendre Quadrature C\/C++ library by Pavel Holoborodko () and goes with the accuracy of 25 decimal digits (fixed point). Library hs-source-dirs: src Exposed-modules: Math.GaussianQuadratureIntegration other-modules: Math.GaussianQuadratureRules build-depends: base >= 3 && < 6