Mercurial > octave
view libinterp/corefcn/__betainc__.cc @ 31144:f125ddb46055
dir_encoding: Use encoding from .oct-config file in current directory (bug #62761).
* libinterp/corefcn/load-path.cc (load_path::read_dir_config),
libinterp/corefcn/input.cc (input_system::dir_encoding): Use canonicalized path
as key for the dir_encoding map.
* test/file-encoding: Add tests for this feature.
* test/Makefile.am: Add new folder to test suite.
author | Markus Mützel <markus.muetzel@gmx.de> |
---|---|
date | Wed, 13 Jul 2022 13:20:48 +0200 |
parents | 796f54d4ddbf |
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