Mercurial > octave
view libinterp/corefcn/__betainc__.cc @ 30564:796f54d4ddbf stable
update Octave Project Developers copyright for the new year
In files that have the "Octave Project Developers" copyright notice,
update for 2021.
In all .txi and .texi files except gpl.txi and gpl.texi in the
doc/liboctave and doc/interpreter directories, change the copyright
to "Octave Project Developers", the same as used for other source
files. Update copyright notices for 2022 (not done since 2019). For
gpl.txi and gpl.texi, change the copyright notice to be "Free Software
Foundation, Inc." and leave the date at 2007 only because this file
only contains the text of the GPL, not anything created by the Octave
Project Developers.
Add Paul Thomas to contributors.in.
author | John W. Eaton <jwe@octave.org> |
---|---|
date | Tue, 28 Dec 2021 18:22:40 -0500 |
parents | 7d6709900da7 |
children | e88a07dec498 |
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//////////////////////////////////////////////////////////////////////// // // Copyright (C) 2018-2022 The Octave Project Developers // // See the file COPYRIGHT.md in the top-level directory of this // distribution or <https://octave.org/copyright/>. // // 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 // <https://www.gnu.org/licenses/>. // //////////////////////////////////////////////////////////////////////// #if defined (HAVE_CONFIG_H) # include "config.h" #endif #include "defun.h" #include "dNDArray.h" #include "fNDArray.h" OCTAVE_NAMESPACE_BEGIN DEFUN (__betainc__, args, , doc: /* -*- texinfo -*- @deftypefn {} {@var{y} =} __betainc__ (@var{x}, @var{a}, @var{b}) Continued fraction for incomplete beta function. @end deftypefn */) { if (args.length () != 3) print_usage (); bool is_single = (args(0).is_single_type () || args(1).is_single_type () || args(2).is_single_type ()); // Total number of scenarios: get maximum of length of all vectors int numel_x = args(0).numel (); int numel_a = args(1).numel (); int numel_b = args(2).numel (); int len = std::max (std::max (numel_x, numel_a), numel_b); octave_value_list retval; // Initialize output dimension vector dim_vector output_dv (len, 1); // Lentz's algorithm in two cases: single and double precision if (is_single) { // Initialize output and inputs FloatColumnVector output (output_dv); FloatNDArray x, a, b; if (numel_x == 1) x = FloatNDArray (output_dv, args(0).float_scalar_value ()); else x = args(0).float_array_value (); if (numel_a == 1) a = FloatNDArray (output_dv, args(1).float_scalar_value ()); else a = args(1).float_array_value (); if (numel_b == 1) b = FloatNDArray (output_dv, args(2).float_scalar_value ()); else b = args(2).float_array_value (); // Initialize variables used in algorithm static const float tiny = math::exp2 (-50.0f); static const float eps = std::numeric_limits<float>::epsilon (); float xj, x2, y, Cj, Dj, aj, bj, Deltaj, alpha_j, beta_j; int j, maxit; maxit = 200; // Loop over all elements for (octave_idx_type i = 0; i < len; ++i) { // Catch Ctrl+C OCTAVE_QUIT; // Variable initialization for the current element xj = x(i); y = tiny; Cj = y; Dj = 0; aj = a(i); bj = b(i); Deltaj = 0; alpha_j = 1; beta_j = aj - (aj * (aj + bj)) / (aj + 1) * xj; x2 = xj * xj; j = 1; // Lentz's algorithm while ((std::abs ((Deltaj - 1)) > eps) && (j < maxit)) { Dj = beta_j + alpha_j * Dj; if (Dj == 0) Dj = tiny; Cj = beta_j + alpha_j / Cj; if (Cj == 0) Cj = tiny; Dj = 1 / Dj; Deltaj = Cj * Dj; y *= Deltaj; alpha_j = ((aj + j - 1) * (aj + bj + j -1) * (bj - j) * j) / ((aj + 2 * j - 1) * (aj + 2 * j - 1)) * x2; beta_j = aj + 2 * j + ((j * (bj - j)) / (aj + 2 * j - 1) - ((aj + j) * (aj + bj + j)) / (aj + 2 * j + 1)) * xj; j++; } output(i) = y; } retval(0) = output; } else { // Initialize output and inputs ColumnVector output (output_dv); NDArray x, a, b; if (numel_x == 1) x = NDArray (output_dv, args(0).scalar_value ()); else x = args(0).array_value (); if (numel_a == 1) a = NDArray (output_dv, args(1).scalar_value ()); else a = args(1).array_value (); if (numel_b == 1) b = NDArray (output_dv, args(2).scalar_value ()); else b = args(2).array_value (); // Initialize variables used in algorithm static const double tiny = math::exp2 (-100.0); static const double eps = std::numeric_limits<double>::epsilon (); double xj, x2, y, Cj, Dj, aj, bj, Deltaj, alpha_j, beta_j; int j, maxit; maxit = 200; // Loop over all elements for (octave_idx_type i = 0; i < len; ++i) { // Catch Ctrl+C OCTAVE_QUIT; // Variable initialization for the current element xj = x(i); y = tiny; Cj = y; Dj = 0; aj = a(i); bj = b(i); Deltaj = 0; alpha_j = 1; beta_j = aj - (aj * (aj + bj)) / (aj + 1) * xj; x2 = xj * xj; j = 1; // Lentz's algorithm while ((std::abs ((Deltaj - 1)) > eps) && (j < maxit)) { Dj = beta_j + alpha_j * Dj; if (Dj == 0) Dj = tiny; Cj = beta_j + alpha_j / Cj; if (Cj == 0) Cj = tiny; Dj = 1 / Dj; Deltaj = Cj * Dj; y *= Deltaj; alpha_j = ((aj + j - 1) * (aj + bj + j - 1) * (bj - j) * j) / ((aj + 2 * j - 1) * (aj + 2 * j - 1)) * x2; beta_j = aj + 2 * j + ((j * (bj - j)) / (aj + 2 * j - 1) - ((aj + j) * (aj + bj + j)) / (aj + 2 * j + 1)) * xj; j++; } output(i) = y; } retval(0) = output; } return retval; } OCTAVE_NAMESPACE_END