X-Git-Url: https://git.creatis.insa-lyon.fr/pubgit/?p=CreaPhase.git;a=blobdiff_plain;f=octave_packages%2Fm%2Fgeneral%2Ftriplequad.m;fp=octave_packages%2Fm%2Fgeneral%2Ftriplequad.m;h=0e61e9145a7019b5c092c5ce47f9c0b746382fad;hp=0000000000000000000000000000000000000000;hb=1c0469ada9531828709108a4882a751d2816994a;hpb=63de9f36673d49121015e3695f2c336ea92bc278 diff --git a/octave_packages/m/general/triplequad.m b/octave_packages/m/general/triplequad.m new file mode 100644 index 0000000..0e61e91 --- /dev/null +++ b/octave_packages/m/general/triplequad.m @@ -0,0 +1,85 @@ +## Copyright (C) 2008-2012 David Bateman +## +## This file is part of Octave. +## +## Octave is free software; you can redistribute it and/or modify it +## under the terms of the GNU General Public License as published by +## the Free Software Foundation; either version 3 of the License, or (at +## your option) any later version. +## +## Octave is distributed in the hope that it will be useful, but +## WITHOUT ANY WARRANTY; without even the implied warranty of +## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU +## General Public License for more details. +## +## You should have received a copy of the GNU General Public License +## along with Octave; see the file COPYING. If not, see +## . + +## -*- texinfo -*- +## @deftypefn {Function File} {} triplequad (@var{f}, @var{xa}, @var{xb}, @var{ya}, @var{yb}, @var{za}, @var{zb}) +## @deftypefnx {Function File} {} triplequad (@var{f}, @var{xa}, @var{xb}, @var{ya}, @var{yb}, @var{za}, @var{zb}, @var{tol}) +## @deftypefnx {Function File} {} triplequad (@var{f}, @var{xa}, @var{xb}, @var{ya}, @var{yb}, @var{za}, @var{zb}, @var{tol}, @var{quadf}) +## @deftypefnx {Function File} {} triplequad (@var{f}, @var{xa}, @var{xb}, @var{ya}, @var{yb}, @var{za}, @var{zb}, @var{tol}, @var{quadf}, @dots{}) +## Numerically evaluate the triple integral of @var{f}. +## @var{f} is a function handle, inline function, or string +## containing the name of the function to evaluate. The function @var{f} must +## have the form @math{w = f(x,y,z)} where either @var{x} or @var{y} is a +## vector and the remaining inputs are scalars. It should return a vector of +## the same length and orientation as @var{x} or @var{y}. +## +## @var{xa}, @var{ya}, @var{za} and @var{xb}, @var{yb}, @var{zb} are the lower +## and upper limits of integration for x, y, and z respectively. The +## underlying integrator determines whether infinite bounds are accepted. +## +## The optional argument @var{tol} defines the absolute tolerance used to +## integrate each sub-integral. The default value is @math{1e^{-6}}. +## +## The optional argument @var{quadf} specifies which underlying integrator +## function to use. Any choice but @code{quad} is available and the default +## is @code{quadcc}. +## +## Additional arguments, are passed directly to @var{f}. To use the default +## value for @var{tol} or @var{quadf} one may pass ':' or an empty matrix ([]). +## @seealso{dblquad, quad, quadv, quadl, quadgk, quadcc, trapz} +## @end deftypefn + +function q = triplequad (f, xa, xb, ya, yb, za, zb, tol = 1e-6, quadf = @quadcc, varargin) + + if (nargin < 7) + print_usage (); + endif + + ## Allow use of empty matrix ([]) to indicate default + if (isempty (tol)) + tol = 1e-6; + endif + if (isempty (quadf)) + quadf = @quadcc; + endif + + inner = @__triplequad_inner__; + if (ischar (f)) + f = @(x,y,z) feval (f, x, y, z, varargin{:}); + varargin = {}; + endif + + q = dblquad (@(y, z) inner (y, z, f, xa, xb, tol, quadf, varargin{:}), ya, yb, za, zb, tol); + +endfunction + +function q = __triplequad_inner__ (y, z, f, xa, xb, tol, quadf, varargin) + q = zeros (size(y)); + for i = 1 : length (y) + q(i) = feval (quadf, @(x) f (x, y(i), z, varargin{:}), xa, xb, tol); + endfor +endfunction + + +%!assert (triplequad (@(x,y,z) exp(-x.^2 - y.^2 - z.^2) , -1, 1, -1, 1, -1, 1, [], @quadcc), pi ^ (3/2) * erf(1).^3, 1e-6) + +%% These tests are too expensive to run normally (~30 sec each). Disable them +#%!assert (triplequad (@(x,y,z) exp(-x.^2 - y.^2 - z.^2) , -1, 1, -1, 1, -1, 1, [], @quadgk), pi ^ (3/2) * erf(1).^3, 1e-6) +#%!#assert (triplequad (@(x,y,z) exp(-x.^2 - y.^2 - z.^2) , -1, 1, -1, 1, -1, 1, [], @quadl), pi ^ (3/2) * erf(1).^3, 1e-6) +#%!#assert (triplequad (@(x,y,z) exp(-x.^2 - y.^2 - z.^2) , -1, 1, -1, 1, -1, 1, [], @quadv), pi ^ (3/2) * erf(1).^3, 1e-6) +