Integration methods, based on original work by Beng
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Latest commit 48d417b Dec 13, 2014 @clbustos Merge pull request #4 from lasandun/opencl
Opencl

README.md

integration

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DESCRIPTION:

Numerical integration for Ruby, with a simple interface

FEATURES/PROBLEMS:

  • Use only one method: Integration.integrate
  • Rectangular, Trapezoidal, Simpson, Adaptive quadrature, Monte Carlo and Romberg integration methods available on pure Ruby.
  • If available, uses Ruby/GSL QNG non-adaptive Gauss-Kronrod integration and QAG adaptive integration, with support for Infinity+ and Infinity-

SYNOPSIS:

Integration.integrate(1,2,{:tolerance=>1e-10,:method=>:simpson}) {|x| x**2} => 2.333333

Support for infinity bounds with GSL QAG adaptative integration

normal_pdf=lambda {|x| (1/Math.sqrt(2*Math::PI))*Math.exp(-(x**2/2))} Integration.integrate(Integration::MInfinity, 0 , {:tolerance=>1e-10}, &normal_pdf) => 0.5 Integration.integrate(0, Integration::Infinity , {:tolerance=>1e-10}, &normal_pdf) => 0.5

REQUIREMENTS:

  • Ruby/GSL, for better performance and support for infinite bounds

INSTALL:

gem install integration

LICENSE:

Copyright (c) 2005  Beng
              2011.2014  clbustos

Permission is hereby granted, free of charge, to any person obtaining a
copy of this software and associated documentation files (the "Software"),
to deal in the Software without restriction, including without limitation
the rights to use, copy, modify, merge, publish, distribute, sublicense,
and/or sell copies of the Software, and to permit persons to whom the
Software is furnished to do so, subject to the following conditions:

The above copyright notice and this permission notice shall be included in
all copies or substantial portions of the Software.

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.  IN NO EVENT SHALL
THE DEVELOPERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY,
WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF
OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
SOFTWARE.

Except as contained in this notice, the name of the Beng shall not
be used in advertising or otherwise to promote the sale, use or other dealings
in this Software without prior written authorization from Beng.