Mercurial > octave-nkf
view src/corefcn/betainc.cc @ 15039:e753177cde93
maint: Move non-dynamically linked functions from DLD-FUNCTIONS/ to corefcn/ directory
* __contourc__.cc, __dispatch__.cc, __lin_interpn__.cc, __pchip_deriv__.cc,
__qp__.cc, balance.cc, besselj.cc, betainc.cc, bsxfun.cc, cellfun.cc,
colloc.cc, conv2.cc, daspk.cc, dasrt.cc, dassl.cc, det.cc, dlmread.cc, dot.cc,
eig.cc, fft.cc, fft2.cc, fftn.cc, filter.cc, find.cc, gammainc.cc, gcd.cc,
getgrent.cc, getpwent.cc, getrusage.cc, givens.cc, hess.cc, hex2num.cc, inv.cc,
kron.cc, lookup.cc, lsode.cc, lu.cc, luinc.cc, matrix_type.cc, max.cc,
md5sum.cc, mgorth.cc, nproc.cc, pinv.cc, quad.cc, quadcc.cc, qz.cc,
rand.cc, rcond.cc, regexp.cc, schur.cc, spparms.cc, sqrtm.cc, str2double.cc,
strfind.cc, sub2ind.cc, svd.cc, syl.cc, time.cc, tril.cc, typecast.cc:
Move functions from DLD-FUNCTIONS/ to corefcn/ directory. Include "defun.h",
not "defun-dld.h". Change docstring to refer to these as "Built-in Functions".
* build-aux/mk-opts.pl: Generate options code with '#include "defun.h"'. Change
option docstrings to refer to these as "Built-in Functions".
* corefcn/module.mk: List of functions to build in corefcn/ dir.
* DLD-FUNCTIONS/config-module.awk: Update to new build system.
* DLD-FUNCTIONS/module-files: Remove functions which are now in corefcn/ directory.
* src/Makefile.am: Update to build "convenience library" in corefcn/. Octave
program now links against all other libraries + corefcn libary.
* src/find-defun-files.sh: Strip $srcdir from filename.
* src/link-deps.mk: Add REGEX and FFTW link dependencies for liboctinterp.
* type.m, which.m: Change failing tests to use 'amd', still a dynamic function,
rather than 'dot', which isn't.
author | Rik <rik@octave.org> |
---|---|
date | Fri, 27 Jul 2012 15:35:00 -0700 |
parents | src/DLD-FUNCTIONS/betainc.cc@cfb64ea5c6a3 |
children |
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/* Copyright (C) 1997-2012 John W. Eaton 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 <http://www.gnu.org/licenses/>. */ #ifdef HAVE_CONFIG_H #include <config.h> #endif #include "lo-specfun.h" #include "defun.h" #include "error.h" #include "gripes.h" #include "oct-obj.h" #include "utils.h" // FIXME: These functions do not need to be dynamically loaded. They should // be placed elsewhere in the Octave code hierarchy. DEFUN (betainc, args, , "-*- texinfo -*-\n\ @deftypefn {Mapping Function} {} betainc (@var{x}, @var{a}, @var{b})\n\ Return the regularized incomplete Beta function,\n\ @tex\n\ $$\n\ I (x, a, b) = {1 \\over {B (a, b)}} \\int_0^x t^{(a-z)} (1-t)^{(b-1)} dt.\n\ $$\n\ @end tex\n\ @ifnottex\n\ @c Set example in small font to prevent overfull line\n\ \n\ @smallexample\n\ @group\n\ x\n\ 1 /\n\ betainc (x, a, b) = ----------- | t^(a-1) (1-t)^(b-1) dt.\n\ beta (a, b) /\n\ t=0\n\ @end group\n\ @end smallexample\n\ \n\ @end ifnottex\n\ \n\ If @var{x} has more than one component, both @var{a} and @var{b} must be\n\ scalars. If @var{x} is a scalar, @var{a} and @var{b} must be of\n\ compatible dimensions.\n\ @seealso{betaincinv, beta, betaln}\n\ @end deftypefn") { octave_value retval; int nargin = args.length (); if (nargin == 3) { octave_value x_arg = args(0); octave_value a_arg = args(1); octave_value b_arg = args(2); // FIXME Can we make a template version of the duplicated code below if (x_arg.is_single_type () || a_arg.is_single_type () || b_arg.is_single_type ()) { if (x_arg.is_scalar_type ()) { float x = x_arg.float_value (); if (a_arg.is_scalar_type ()) { float a = a_arg.float_value (); if (! error_state) { if (b_arg.is_scalar_type ()) { float b = b_arg.float_value (); if (! error_state) retval = betainc (x, a, b); } else { Array<float> b = b_arg.float_array_value (); if (! error_state) retval = betainc (x, a, b); } } } else { Array<float> a = a_arg.float_array_value (); if (! error_state) { if (b_arg.is_scalar_type ()) { float b = b_arg.float_value (); if (! error_state) retval = betainc (x, a, b); } else { Array<float> b = b_arg.float_array_value (); if (! error_state) retval = betainc (x, a, b); } } } } else { Array<float> x = x_arg.float_array_value (); if (a_arg.is_scalar_type ()) { float a = a_arg.float_value (); if (! error_state) { if (b_arg.is_scalar_type ()) { float b = b_arg.float_value (); if (! error_state) retval = betainc (x, a, b); } else { Array<float> b = b_arg.float_array_value (); if (! error_state) retval = betainc (x, a, b); } } } else { Array<float> a = a_arg.float_array_value (); if (! error_state) { if (b_arg.is_scalar_type ()) { float b = b_arg.float_value (); if (! error_state) retval = betainc (x, a, b); } else { Array<float> b = b_arg.float_array_value (); if (! error_state) retval = betainc (x, a, b); } } } } } else { if (x_arg.is_scalar_type ()) { double x = x_arg.double_value (); if (a_arg.is_scalar_type ()) { double a = a_arg.double_value (); if (! error_state) { if (b_arg.is_scalar_type ()) { double b = b_arg.double_value (); if (! error_state) retval = betainc (x, a, b); } else { Array<double> b = b_arg.array_value (); if (! error_state) retval = betainc (x, a, b); } } } else { Array<double> a = a_arg.array_value (); if (! error_state) { if (b_arg.is_scalar_type ()) { double b = b_arg.double_value (); if (! error_state) retval = betainc (x, a, b); } else { Array<double> b = b_arg.array_value (); if (! error_state) retval = betainc (x, a, b); } } } } else { Array<double> x = x_arg.array_value (); if (a_arg.is_scalar_type ()) { double a = a_arg.double_value (); if (! error_state) { if (b_arg.is_scalar_type ()) { double b = b_arg.double_value (); if (! error_state) retval = betainc (x, a, b); } else { Array<double> b = b_arg.array_value (); if (! error_state) retval = betainc (x, a, b); } } } else { Array<double> a = a_arg.array_value (); if (! error_state) { if (b_arg.is_scalar_type ()) { double b = b_arg.double_value (); if (! error_state) retval = betainc (x, a, b); } else { Array<double> b = b_arg.array_value (); if (! error_state) retval = betainc (x, a, b); } } } } } } else print_usage (); return retval; } /* ## Double precision %!test %! a = [1, 1.5, 2, 3]; %! b = [4, 3, 2, 1]; %! v1 = betainc (1,a,b); %! v2 = [1,1,1,1]; %! x = [.2, .4, .6, .8]; %! v3 = betainc (x, a, b); %! v4 = 1 - betainc (1.-x, b, a); %! assert (v1, v2, sqrt (eps)); %! assert (v3, v4, sqrt (eps)); ## Single precision %!test %! a = single ([1, 1.5, 2, 3]); %! b = single ([4, 3, 2, 1]); %! v1 = betainc (1,a,b); %! v2 = single ([1,1,1,1]); %! x = single ([.2, .4, .6, .8]); %! v3 = betainc (x, a, b); %! v4 = 1 - betainc (1.-x, b, a); %! assert (v1, v2, sqrt (eps ("single"))); %! assert (v3, v4, sqrt (eps ("single"))); ## Mixed double/single precision %!test %! a = single ([1, 1.5, 2, 3]); %! b = [4, 3, 2, 1]; %! v1 = betainc (1,a,b); %! v2 = single ([1,1,1,1]); %! x = [.2, .4, .6, .8]; %! v3 = betainc (x, a, b); %! v4 = 1-betainc (1.-x, b, a); %! assert (v1, v2, sqrt (eps ("single"))); %! assert (v3, v4, sqrt (eps ("single"))); %!error betainc () %!error betainc (1) %!error betainc (1,2) %!error betainc (1,2,3,4) */ DEFUN (betaincinv, args, , "-*- texinfo -*-\n\ @deftypefn {Mapping Function} {} betaincinv (@var{y}, @var{a}, @var{b})\n\ Compute the inverse of the incomplete Beta function, i.e., @var{x} such that\n\ \n\ @example\n\ @var{y} == betainc (@var{x}, @var{a}, @var{b}) \n\ @end example\n\ @seealso{betainc, beta, betaln}\n\ @end deftypefn") { octave_value retval; int nargin = args.length (); if (nargin == 3) { octave_value x_arg = args(0); octave_value a_arg = args(1); octave_value b_arg = args(2); if (x_arg.is_scalar_type ()) { double x = x_arg.double_value (); if (a_arg.is_scalar_type ()) { double a = a_arg.double_value (); if (! error_state) { if (b_arg.is_scalar_type ()) { double b = b_arg.double_value (); if (! error_state) retval = betaincinv (x, a, b); } else { Array<double> b = b_arg.array_value (); if (! error_state) retval = betaincinv (x, a, b); } } } else { Array<double> a = a_arg.array_value (); if (! error_state) { if (b_arg.is_scalar_type ()) { double b = b_arg.double_value (); if (! error_state) retval = betaincinv (x, a, b); } else { Array<double> b = b_arg.array_value (); if (! error_state) retval = betaincinv (x, a, b); } } } } else { Array<double> x = x_arg.array_value (); if (a_arg.is_scalar_type ()) { double a = a_arg.double_value (); if (! error_state) { if (b_arg.is_scalar_type ()) { double b = b_arg.double_value (); if (! error_state) retval = betaincinv (x, a, b); } else { Array<double> b = b_arg.array_value (); if (! error_state) retval = betaincinv (x, a, b); } } } else { Array<double> a = a_arg.array_value (); if (! error_state) { if (b_arg.is_scalar_type ()) { double b = b_arg.double_value (); if (! error_state) retval = betaincinv (x, a, b); } else { Array<double> b = b_arg.array_value (); if (! error_state) retval = betaincinv (x, a, b); } } } } // FIXME: It would be better to have an algorithm for betaincinv which // accepted float inputs and returned float outputs. As it is, we do // extra work to calculate betaincinv to double precision and then throw // that precision away. if (x_arg.is_single_type () || a_arg.is_single_type () || b_arg.is_single_type ()) { retval = Array<float> (retval.array_value ()); } } else print_usage (); return retval; } /* %!assert (betaincinv ([0.875 0.6875], [1 2], 3), [0.5 0.5], sqrt (eps)) %!assert (betaincinv (0.5, 3, 3), 0.5, sqrt (eps)) %!assert (betaincinv (0.34375, 4, 3), 0.5, sqrt (eps)) %!assert (betaincinv (0.2265625, 5, 3), 0.5, sqrt (eps)) %!assert (betaincinv (0.14453125, 6, 3), 0.5, sqrt (eps)) %!assert (betaincinv (0.08984375, 7, 3), 0.5, sqrt (eps)) %!assert (betaincinv (0.0546875, 8, 3), 0.5, sqrt (eps)) %!assert (betaincinv (0.03271484375, 9, 3), 0.5, sqrt (eps)) %!assert (betaincinv (0.019287109375, 10, 3), 0.5, sqrt (eps)) ## Test class single as well %!assert (betaincinv ([0.875 0.6875], [1 2], single (3)), [0.5 0.5], sqrt (eps ("single"))) %!assert (betaincinv (0.5, 3, single (3)), 0.5, sqrt (eps ("single"))) %!assert (betaincinv (0.34375, 4, single (3)), 0.5, sqrt (eps ("single"))) ## Extreme values %!assert (betaincinv (0, 42, 42), 0, sqrt (eps)) %!assert (betaincinv (1, 42, 42), 1, sqrt (eps)) %!error betaincinv () %!error betaincinv (1, 2) */