annotate libinterp/corefcn/gcd.cc @ 29958:32c3a5805893

move DEFUN and DEFMETHOD functions inside octave namespace * mk-opts.pl: Surround emitted function definitions with OCTAVE_NAMESPACE_BEGIN and OCTAVE_NAMESPACE_END tags. * mk-builtins.pl: Surround emitted function declarations with OCTAVE_NAMESPACE_BEGIN and OCTAVE_NAMESPACE_END tags. Emit deprecated global inline functions. * __betainc__.cc, __contourc__.cc, __dsearchn__.cc, __eigs__.cc, __expint__.cc, __ftp__.cc, __gammainc__.cc, __ichol__.cc, __ilu__.cc, __lin_interpn__.cc, __magick_read__.cc, __pchip_deriv__.cc, __qp__.cc, amd.cc, balance.cc, besselj.cc, bitfcns.cc, bsxfun.cc, call-stack.cc, ccolamd.cc, cellfun.cc, chol.cc, colamd.cc, colloc.cc, conv2.cc, daspk.cc, dasrt.cc, dassl.cc, data.cc, debug.cc, defaults.cc, defun.cc, det.cc, dirfns.cc, display.cc, dlmread.cc, dmperm.cc, dot.cc, eig.cc, ellipj.cc, environment.cc, error.cc, event-manager.cc, fcn-info.cc, fft.cc, fft2.cc, fftn.cc, file-io.cc, filter.cc, find.cc, gcd.cc, getgrent.cc, getpwent.cc, getrusage.cc, givens.cc, graphics.cc, gsvd.cc, hash.cc, help.cc, hess.cc, hex2num.cc, input.cc, interpreter.cc, inv.cc, jsondecode.cc, jsonencode.cc, kron.cc, load-path.cc, load-save.cc, lookup.cc, ls-oct-text.cc, lsode.cc, lu.cc, mappers.cc, matrix_type.cc, max.cc, mgorth.cc, nproc.cc, oct-hist.cc, ordqz.cc, ordschur.cc, pager.cc, pinv.cc, pr-flt-fmt.cc, pr-output.cc, psi.cc, qr.cc, quad.cc, quadcc.cc, qz.cc, rand.cc, rcond.cc, regexp.cc, schur.cc, settings.cc, sighandlers.cc, sparse.cc, spparms.cc, sqrtm.cc, stream-euler.cc, strfind.cc, strfns.cc, sub2ind.cc, svd.cc, sylvester.cc, symbfact.cc, symrcm.cc, symtab.cc, syscalls.cc, sysdep.cc, time.cc, toplev.cc, tril.cc, tsearch.cc, typecast.cc, urlwrite.cc, utils.cc, variables.cc, __delaunayn__.cc, __fltk_uigetfile__.cc, __glpk__.cc, __init_gnuplot__.cc, __ode15__.cc, __voronoi__.cc, audiodevinfo.cc, audioread.cc, convhulln.cc, fftw.cc, gzip.cc, ov-base.cc, ov-bool-mat.cc, ov-cell.cc, ov-class.cc, ov-classdef.cc, ov-fcn-handle.cc, ov-java.cc, ov-null-mat.cc, ov-oncleanup.cc, ov-struct.cc, ov-typeinfo.cc, ov-usr-fcn.cc, ov.cc, octave.cc, lex.ll, oct-parse.yy, profiler.cc, pt-eval.cc: Surround DEFUN and DEFMETHOD function defnitions with OCTAVE_NAMESPACE_BEGIN and OCTAVE_NAMESPACE_END tags.
author John W. Eaton <jwe@octave.org>
date Fri, 13 Aug 2021 21:53:51 -0400
parents 7faff48840eb
children 7d6709900da7
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1 ////////////////////////////////////////////////////////////////////////
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2 //
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3 // Copyright (C) 2004-2021 The Octave Project Developers
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4 //
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5 // See the file COPYRIGHT.md in the top-level directory of this
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6 // distribution or <https://octave.org/copyright/>.
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7 //
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8 // This file is part of Octave.
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9 //
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10 // Octave is free software: you can redistribute it and/or modify it
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11 // under the terms of the GNU General Public License as published by
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12 // the Free Software Foundation, either version 3 of the License, or
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13 // (at your option) any later version.
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14 //
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15 // Octave is distributed in the hope that it will be useful, but
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16 // WITHOUT ANY WARRANTY; without even the implied warranty of
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17 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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18 // GNU General Public License for more details.
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19 //
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20 // You should have received a copy of the GNU General Public License
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21 // along with Octave; see the file COPYING. If not, see
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22 // <https://www.gnu.org/licenses/>.
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23 //
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24 ////////////////////////////////////////////////////////////////////////
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25
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26 #if defined (HAVE_CONFIG_H)
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27 # include "config.h"
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28 #endif
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29
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30 #include "dNDArray.h"
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31 #include "CNDArray.h"
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32 #include "fNDArray.h"
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33 #include "fCNDArray.h"
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34 #include "lo-mappers.h"
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35 #include "oct-binmap.h"
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36
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37 #include "defun.h"
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38 #include "error.h"
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39 #include "ovl.h"
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41 OCTAVE_NAMESPACE_BEGIN
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42
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43 static double
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44 simple_gcd (double a, double b)
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45 {
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46 if (! octave::math::isinteger (a) || ! octave::math::isinteger (b))
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47 error ("gcd: all values must be integers");
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48
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49 double aa = fabs (a);
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50 double bb = fabs (b);
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51
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52 while (bb != 0)
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53 {
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54 double tt = fmod (aa, bb);
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55 aa = bb;
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56 bb = tt;
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57 }
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58
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59 return aa;
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60 }
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61
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62 // Don't use the Complex and FloatComplex typedefs because we need to
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63 // refer to the actual float precision FP in the body (and when gcc
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64 // implements template aliases from C++0x, can do a small fix here).
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65 template <typename FP>
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66 static void
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67 divide (const std::complex<FP>& a, const std::complex<FP>& b,
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68 std::complex<FP>& q, std::complex<FP>& r)
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69 {
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70 FP qr = std::floor ((a/b).real () + 0.5);
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71 FP qi = std::floor ((a/b).imag () + 0.5);
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72
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73 q = std::complex<FP> (qr, qi);
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74
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75 r = a - q*b;
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76 }
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77
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78 template <typename FP>
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79 static std::complex<FP>
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80 simple_gcd (const std::complex<FP>& a, const std::complex<FP>& b)
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81 {
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82 if (! octave::math::isinteger (a.real ())
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83 || ! octave::math::isinteger (a.imag ())
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84 || ! octave::math::isinteger (b.real ())
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85 || ! octave::math::isinteger (b.imag ()))
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86 error ("gcd: all complex parts must be integers");
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87
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88 std::complex<FP> aa = a;
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89 std::complex<FP> bb = b;
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90
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91 if (abs (aa) < abs (bb))
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92 std::swap (aa, bb);
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93
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94 while (abs (bb) != 0)
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95 {
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96 std::complex<FP> qq, rr;
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97 divide (aa, bb, qq, rr);
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98 aa = bb;
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99 bb = rr;
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100 }
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101
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102 return aa;
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103 }
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104
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105 template <typename T>
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106 static octave_int<T>
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107 simple_gcd (const octave_int<T>& a, const octave_int<T>& b)
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108 {
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109 T aa = a.abs ().value ();
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110 T bb = b.abs ().value ();
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111
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112 while (bb != 0)
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113 {
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114 T tt = aa % bb;
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115 aa = bb;
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116 bb = tt;
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117 }
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118
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119 return aa;
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120 }
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121
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122 static double
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123 extended_gcd (double a, double b, double& x, double& y)
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124 {
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125 if (! octave::math::isinteger (a) || ! octave::math::isinteger (b))
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126 error ("gcd: all values must be integers");
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127
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128 double aa = fabs (a);
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129 double bb = fabs (b);
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130
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131 double xx, lx, yy, ly;
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132 xx = 0, lx = 1;
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133 yy = 1, ly = 0;
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134
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135 while (bb != 0)
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136 {
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137 double qq = std::floor (aa / bb);
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138 double tt = fmod (aa, bb);
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139
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140 aa = bb;
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141 bb = tt;
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142
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143 double tx = lx - qq*xx;
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144 lx = xx;
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145 xx = tx;
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146
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147 double ty = ly - qq*yy;
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148 ly = yy;
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149 yy = ty;
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150 }
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151
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152 x = (a >= 0 ? lx : -lx);
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153 y = (b >= 0 ? ly : -ly);
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154
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155 return aa;
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156 }
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157
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158 template <typename FP>
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159 static std::complex<FP>
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160 extended_gcd (const std::complex<FP>& a, const std::complex<FP>& b,
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161 std::complex<FP>& x, std::complex<FP>& y)
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162 {
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163 if (! octave::math::isinteger (a.real ())
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164 || ! octave::math::isinteger (a.imag ())
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165 || ! octave::math::isinteger (b.real ())
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166 || ! octave::math::isinteger (b.imag ()))
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167 error ("gcd: all complex parts must be integers");
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168
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169 std::complex<FP> aa = a;
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170 std::complex<FP> bb = b;
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171 bool swapped = false;
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172 if (abs (aa) < abs (bb))
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173 {
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174 std::swap (aa, bb);
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175 swapped = true;
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176 }
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177
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178 std::complex<FP> xx, lx, yy, ly;
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179 xx = 0, lx = 1;
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180 yy = 1, ly = 0;
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181
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182 while (abs(bb) != 0)
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183 {
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184 std::complex<FP> qq, rr;
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185 divide (aa, bb, qq, rr);
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186 aa = bb;
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187 bb = rr;
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188
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189 std::complex<FP> tx = lx - qq*xx;
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190 lx = xx;
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191 xx = tx;
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192
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193 std::complex<FP> ty = ly - qq*yy;
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194 ly = yy;
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195 yy = ty;
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196 }
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197
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198 x = lx;
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199 y = ly;
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200
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201 if (swapped)
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202 std::swap (x, y);
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203
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204 return aa;
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205 }
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206
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207 template <typename T>
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208 static octave_int<T>
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209 extended_gcd (const octave_int<T>& a, const octave_int<T>& b,
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210 octave_int<T>& x, octave_int<T>& y)
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211 {
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212 T aa = a.abs ().value ();
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213 T bb = b.abs ().value ();
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214 T xx, lx, yy, ly;
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215 xx = 0, lx = 1;
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216 yy = 1, ly = 0;
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217
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218 while (bb != 0)
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219 {
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220 T qq = aa / bb;
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221 T tt = aa % bb;
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222 aa = bb;
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223 bb = tt;
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224
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225 T tx = lx - qq*xx;
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226 lx = xx;
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227 xx = tx;
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228
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229 T ty = ly - qq*yy;
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230 ly = yy;
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231 yy = ty;
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232 }
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233
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234 x = octave_int<T> (lx) * a.signum ();
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235 y = octave_int<T> (ly) * b.signum ();
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236
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237 return aa;
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238 }
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239
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240 template <typename NDA>
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241 static octave_value
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242 do_simple_gcd (const octave_value& a, const octave_value& b)
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243 {
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244 typedef typename NDA::element_type T;
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245 octave_value retval;
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246
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247 if (a.is_scalar_type () && b.is_scalar_type ())
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248 {
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249 // Optimize scalar case.
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250 T aa = octave_value_extract<T> (a);
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251 T bb = octave_value_extract<T> (b);
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252 retval = simple_gcd (aa, bb);
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253 }
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254 else
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255 {
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256 NDA aa = octave_value_extract<NDA> (a);
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257 NDA bb = octave_value_extract<NDA> (b);
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258 retval = binmap<T> (aa, bb, simple_gcd, "gcd");
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259 }
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260
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261 return retval;
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262 }
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263
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264 // Dispatcher
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265 static octave_value
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266 do_simple_gcd (const octave_value& a, const octave_value& b)
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267 {
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268 octave_value retval;
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269 builtin_type_t btyp = btyp_mixed_numeric (a.builtin_type (),
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270 b.builtin_type ());
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271 switch (btyp)
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272 {
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273 case btyp_double:
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274 if (a.issparse () && b.issparse ())
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275 {
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276 retval = do_simple_gcd<SparseMatrix> (a, b);
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277 break;
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278 }
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279 OCTAVE_FALLTHROUGH;
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280
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281 case btyp_float:
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282 retval = do_simple_gcd<NDArray> (a, b);
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283 break;
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284
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285 #define MAKE_INT_BRANCH(X) \
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286 case btyp_ ## X: \
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287 retval = do_simple_gcd<X ## NDArray> (a, b); \
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288 break
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289
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290 MAKE_INT_BRANCH (int8);
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291 MAKE_INT_BRANCH (int16);
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292 MAKE_INT_BRANCH (int32);
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293 MAKE_INT_BRANCH (int64);
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294 MAKE_INT_BRANCH (uint8);
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295 MAKE_INT_BRANCH (uint16);
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296 MAKE_INT_BRANCH (uint32);
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297 MAKE_INT_BRANCH (uint64);
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298
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299 #undef MAKE_INT_BRANCH
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300
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301 case btyp_complex:
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302 retval = do_simple_gcd<ComplexNDArray> (a, b);
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303 break;
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304
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305 case btyp_float_complex:
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306 retval = do_simple_gcd<FloatComplexNDArray> (a, b);
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307 break;
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308
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309 default:
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310 error ("gcd: invalid class combination for gcd: %s and %s\n",
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311 a.class_name ().c_str (), b.class_name ().c_str ());
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312 }
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313
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314 if (btyp == btyp_float)
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315 retval = retval.float_array_value ();
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316
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317 return retval;
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318 }
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319
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538b57866b90 consistently use "typename" intead of "class" in template declarations
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320 template <typename NDA>
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321 static octave_value
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322 do_extended_gcd (const octave_value& a, const octave_value& b,
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323 octave_value& x, octave_value& y)
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324 {
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325 typedef typename NDA::element_type T;
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326 octave_value retval;
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327
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328 if (a.is_scalar_type () && b.is_scalar_type ())
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329 {
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330 // Optimize scalar case.
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331 T aa = octave_value_extract<T> (a);
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332 T bb = octave_value_extract<T> (b);
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diff changeset
333 T xx, yy;
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334 retval = extended_gcd (aa, bb, xx, yy);
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335 x = xx;
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336 y = yy;
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337 }
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338 else
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339 {
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340 NDA aa = octave_value_extract<NDA> (a);
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341 NDA bb = octave_value_extract<NDA> (b);
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342
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343 dim_vector dv = aa.dims ();
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344 if (aa.numel () == 1)
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345 dv = bb.dims ();
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346 else if (bb.numel () != 1 && bb.dims () != dv)
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d0562b3159c7 move more classes inside octave namespace
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diff changeset
347 octave::err_nonconformant ("gcd", a.dims (), b.dims ());
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348
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349 NDA gg (dv), xx (dv), yy (dv);
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diff changeset
350
29931
7faff48840eb prefer data over fortran_vec for read-only access to data
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diff changeset
351 const T *aptr = aa.data ();
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352 const T *bptr = bb.data ();
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diff changeset
353
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diff changeset
354 bool inca = aa.numel () != 1;
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diff changeset
355 bool incb = bb.numel () != 1;
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diff changeset
356
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357 T *gptr = gg.fortran_vec ();
18100
6a71e5030df5 Follow coding convention of defining and initializing only 1 variable per line in liboctinterp.
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diff changeset
358 T *xptr = xx.fortran_vec ();
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diff changeset
359 T *yptr = yy.fortran_vec ();
11021
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diff changeset
360
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361 octave_idx_type n = gg.numel ();
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362 for (octave_idx_type i = 0; i < n; i++)
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363 {
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diff changeset
364 octave_quit ();
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diff changeset
365
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366 *gptr++ = extended_gcd (*aptr, *bptr, *xptr++, *yptr++);
11064
61a6c99d8ff7 gcd.cc: style fixes
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diff changeset
367
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diff changeset
368 aptr += inca;
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diff changeset
369 bptr += incb;
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370 }
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diff changeset
371
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diff changeset
372 x = xx;
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diff changeset
373 y = yy;
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diff changeset
374
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375 retval = gg;
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376 }
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diff changeset
377
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diff changeset
378 return retval;
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diff changeset
379 }
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diff changeset
380
11021
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381 // Dispatcher
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382 static octave_value
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diff changeset
383 do_extended_gcd (const octave_value& a, const octave_value& b,
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diff changeset
384 octave_value& x, octave_value& y)
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385 {
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diff changeset
386 octave_value retval;
11064
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diff changeset
387
11021
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diff changeset
388 builtin_type_t btyp = btyp_mixed_numeric (a.builtin_type (),
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diff changeset
389 b.builtin_type ());
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diff changeset
390 switch (btyp)
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diff changeset
391 {
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392 case btyp_double:
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393 case btyp_float:
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394 retval = do_extended_gcd<NDArray> (a, b, x, y);
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diff changeset
395 break;
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diff changeset
396
22407
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diff changeset
397 #define MAKE_INT_BRANCH(X) \
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diff changeset
398 case btyp_ ## X: \
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diff changeset
399 retval = do_extended_gcd<X ## NDArray> (a, b, x, y); \
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diff changeset
400 break
11064
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diff changeset
401
11021
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diff changeset
402 MAKE_INT_BRANCH (int8);
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diff changeset
403 MAKE_INT_BRANCH (int16);
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404 MAKE_INT_BRANCH (int32);
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diff changeset
405 MAKE_INT_BRANCH (int64);
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diff changeset
406 MAKE_INT_BRANCH (uint8);
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diff changeset
407 MAKE_INT_BRANCH (uint16);
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diff changeset
408 MAKE_INT_BRANCH (uint32);
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diff changeset
409 MAKE_INT_BRANCH (uint64);
11064
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diff changeset
410
11021
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diff changeset
411 #undef MAKE_INT_BRANCH
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diff changeset
412
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diff changeset
413 case btyp_complex:
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diff changeset
414 retval = do_extended_gcd<ComplexNDArray> (a, b, x, y);
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diff changeset
415 break;
11064
61a6c99d8ff7 gcd.cc: style fixes
John W. Eaton <jwe@octave.org>
parents: 11062
diff changeset
416
11021
0ee74d581c00 optimize & rewrite gcd
Jaroslav Hajek <highegg@gmail.com>
parents: 10840
diff changeset
417 case btyp_float_complex:
11062
88d78ee12ee8 Implement gcd for Gaussian (complex) integers
Jordi Gutiérrez Hermoso <jordigh@gmail.com>
parents: 11061
diff changeset
418 retval = do_extended_gcd<FloatComplexNDArray> (a, b, x, y);
88d78ee12ee8 Implement gcd for Gaussian (complex) integers
Jordi Gutiérrez Hermoso <jordigh@gmail.com>
parents: 11061
diff changeset
419 break;
11064
61a6c99d8ff7 gcd.cc: style fixes
John W. Eaton <jwe@octave.org>
parents: 11062
diff changeset
420
11021
0ee74d581c00 optimize & rewrite gcd
Jaroslav Hajek <highegg@gmail.com>
parents: 10840
diff changeset
421 default:
0ee74d581c00 optimize & rewrite gcd
Jaroslav Hajek <highegg@gmail.com>
parents: 10840
diff changeset
422 error ("gcd: invalid class combination for gcd: %s and %s\n",
0ee74d581c00 optimize & rewrite gcd
Jaroslav Hajek <highegg@gmail.com>
parents: 10840
diff changeset
423 a.class_name ().c_str (), b.class_name ().c_str ());
0ee74d581c00 optimize & rewrite gcd
Jaroslav Hajek <highegg@gmail.com>
parents: 10840
diff changeset
424 }
0ee74d581c00 optimize & rewrite gcd
Jaroslav Hajek <highegg@gmail.com>
parents: 10840
diff changeset
425
0ee74d581c00 optimize & rewrite gcd
Jaroslav Hajek <highegg@gmail.com>
parents: 10840
diff changeset
426 // For consistency.
23583
b7747a2c88b2 maint: Deprecate is_sparse_type and replace with issparse.
Rik <rik@octave.org>
parents: 23450
diff changeset
427 if (a.issparse () && b.issparse ())
11021
0ee74d581c00 optimize & rewrite gcd
Jaroslav Hajek <highegg@gmail.com>
parents: 10840
diff changeset
428 {
0ee74d581c00 optimize & rewrite gcd
Jaroslav Hajek <highegg@gmail.com>
parents: 10840
diff changeset
429 retval = retval.sparse_matrix_value ();
0ee74d581c00 optimize & rewrite gcd
Jaroslav Hajek <highegg@gmail.com>
parents: 10840
diff changeset
430 x = x.sparse_matrix_value ();
0ee74d581c00 optimize & rewrite gcd
Jaroslav Hajek <highegg@gmail.com>
parents: 10840
diff changeset
431 y = y.sparse_matrix_value ();
0ee74d581c00 optimize & rewrite gcd
Jaroslav Hajek <highegg@gmail.com>
parents: 10840
diff changeset
432 }
0ee74d581c00 optimize & rewrite gcd
Jaroslav Hajek <highegg@gmail.com>
parents: 10840
diff changeset
433
0ee74d581c00 optimize & rewrite gcd
Jaroslav Hajek <highegg@gmail.com>
parents: 10840
diff changeset
434 if (btyp == btyp_float)
0ee74d581c00 optimize & rewrite gcd
Jaroslav Hajek <highegg@gmail.com>
parents: 10840
diff changeset
435 {
0ee74d581c00 optimize & rewrite gcd
Jaroslav Hajek <highegg@gmail.com>
parents: 10840
diff changeset
436 retval = retval.float_array_value ();
0ee74d581c00 optimize & rewrite gcd
Jaroslav Hajek <highegg@gmail.com>
parents: 10840
diff changeset
437 x = x.float_array_value ();
0ee74d581c00 optimize & rewrite gcd
Jaroslav Hajek <highegg@gmail.com>
parents: 10840
diff changeset
438 y = y.float_array_value ();
0ee74d581c00 optimize & rewrite gcd
Jaroslav Hajek <highegg@gmail.com>
parents: 10840
diff changeset
439 }
0ee74d581c00 optimize & rewrite gcd
Jaroslav Hajek <highegg@gmail.com>
parents: 10840
diff changeset
440
0ee74d581c00 optimize & rewrite gcd
Jaroslav Hajek <highegg@gmail.com>
parents: 10840
diff changeset
441 return retval;
0ee74d581c00 optimize & rewrite gcd
Jaroslav Hajek <highegg@gmail.com>
parents: 10840
diff changeset
442 }
0ee74d581c00 optimize & rewrite gcd
Jaroslav Hajek <highegg@gmail.com>
parents: 10840
diff changeset
443
15039
e753177cde93 maint: Move non-dynamically linked functions from DLD-FUNCTIONS/ to corefcn/ directory
Rik <rik@octave.org>
parents: 14854
diff changeset
444 DEFUN (gcd, args, nargout,
21966
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21942
diff changeset
445 doc: /* -*- texinfo -*-
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21942
diff changeset
446 @deftypefn {} {@var{g} =} gcd (@var{a1}, @var{a2}, @dots{})
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21942
diff changeset
447 @deftypefnx {} {[@var{g}, @var{v1}, @dots{}] =} gcd (@var{a1}, @var{a2}, @dots{})
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21942
diff changeset
448 Compute the greatest common divisor of @var{a1}, @var{a2}, @dots{}.
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21942
diff changeset
449
27954
cbabcd7bb6c3 doc: Clarify documentation of inputs for gcd (bug #57609).
Rik <rik@octave.org>
parents: 27923
diff changeset
450 All arguments must be the same size or scalar. For arrays, the greatest common
cbabcd7bb6c3 doc: Clarify documentation of inputs for gcd (bug #57609).
Rik <rik@octave.org>
parents: 27923
diff changeset
451 divisor is calculated for each element individually. All elements must be
cbabcd7bb6c3 doc: Clarify documentation of inputs for gcd (bug #57609).
Rik <rik@octave.org>
parents: 27923
diff changeset
452 ordinary or Gaussian (complex) integers. Note that for Gaussian integers, the
cbabcd7bb6c3 doc: Clarify documentation of inputs for gcd (bug #57609).
Rik <rik@octave.org>
parents: 27923
diff changeset
453 gcd is only unique up to a phase factor (multiplication by 1, -1, i, or -i), so
cbabcd7bb6c3 doc: Clarify documentation of inputs for gcd (bug #57609).
Rik <rik@octave.org>
parents: 27923
diff changeset
454 an arbitrary greatest common divisor among the four possible is returned.
21966
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21942
diff changeset
455
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21942
diff changeset
456 Optional return arguments @var{v1}, @dots{}, contain integer vectors such
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21942
diff changeset
457 that,
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21942
diff changeset
458
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21942
diff changeset
459 @tex
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21942
diff changeset
460 $g = v_1 a_1 + v_2 a_2 + \cdots$
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21942
diff changeset
461 @end tex
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21942
diff changeset
462 @ifnottex
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21942
diff changeset
463
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21942
diff changeset
464 @example
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21942
diff changeset
465 @var{g} = @var{v1} .* @var{a1} + @var{v2} .* @var{a2} + @dots{}
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21942
diff changeset
466 @end example
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21942
diff changeset
467
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21942
diff changeset
468 @end ifnottex
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21942
diff changeset
469
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21942
diff changeset
470 Example code:
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21942
diff changeset
471
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21942
diff changeset
472 @example
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21942
diff changeset
473 @group
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21942
diff changeset
474 gcd ([15, 9], [20, 18])
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21942
diff changeset
475 @result{} 5 9
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21942
diff changeset
476 @end group
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21942
diff changeset
477 @end example
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21942
diff changeset
478
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21942
diff changeset
479 @seealso{lcm, factor, isprime}
112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
parents: 21942
diff changeset
480 @end deftypefn */)
4864
d49d761c8c93 [project @ 2004-04-16 16:01:11 by jwe]
jwe
parents:
diff changeset
481 {
d49d761c8c93 [project @ 2004-04-16 16:01:11 by jwe]
jwe
parents:
diff changeset
482 int nargin = args.length ();
d49d761c8c93 [project @ 2004-04-16 16:01:11 by jwe]
jwe
parents:
diff changeset
483
20802
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20650
diff changeset
484 if (nargin < 2)
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20650
diff changeset
485 print_usage ();
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20650
diff changeset
486
20939
b17fda023ca6 maint: Use new C++ archetype in more files.
Rik <rik@octave.org>
parents: 20853
diff changeset
487 octave_value_list retval;
b17fda023ca6 maint: Use new C++ archetype in more files.
Rik <rik@octave.org>
parents: 20853
diff changeset
488
20802
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20650
diff changeset
489 if (nargout > 1)
4864
d49d761c8c93 [project @ 2004-04-16 16:01:11 by jwe]
jwe
parents:
diff changeset
490 {
20802
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20650
diff changeset
491 retval.resize (nargin + 1);
11064
61a6c99d8ff7 gcd.cc: style fixes
John W. Eaton <jwe@octave.org>
parents: 11062
diff changeset
492
20802
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20650
diff changeset
493 retval(0) = do_extended_gcd (args(0), args(1), retval(1), retval(2));
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20650
diff changeset
494
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20650
diff changeset
495 for (int j = 2; j < nargin; j++)
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9167
diff changeset
496 {
20802
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20650
diff changeset
497 octave_value x;
20939
b17fda023ca6 maint: Use new C++ archetype in more files.
Rik <rik@octave.org>
parents: 20853
diff changeset
498 retval(0) = do_extended_gcd (retval(0), args(j), x, retval(j+1));
20802
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20650
diff changeset
499 for (int i = 0; i < j; i++)
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20650
diff changeset
500 retval(i+1).assign (octave_value::op_el_mul_eq, x);
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9167
diff changeset
501 }
7815
a41df65f3f00 Add some single precision test code and fix resulting bugs
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
502 }
4864
d49d761c8c93 [project @ 2004-04-16 16:01:11 by jwe]
jwe
parents:
diff changeset
503 else
20802
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20650
diff changeset
504 {
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20650
diff changeset
505 retval(0) = do_simple_gcd (args(0), args(1));
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20650
diff changeset
506
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20650
diff changeset
507 for (int j = 2; j < nargin; j++)
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20650
diff changeset
508 retval(0) = do_simple_gcd (retval(0), args(j));
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20650
diff changeset
509 }
4864
d49d761c8c93 [project @ 2004-04-16 16:01:11 by jwe]
jwe
parents:
diff changeset
510
d49d761c8c93 [project @ 2004-04-16 16:01:11 by jwe]
jwe
parents:
diff changeset
511 return retval;
d49d761c8c93 [project @ 2004-04-16 16:01:11 by jwe]
jwe
parents:
diff changeset
512 }
d49d761c8c93 [project @ 2004-04-16 16:01:11 by jwe]
jwe
parents:
diff changeset
513
d49d761c8c93 [project @ 2004-04-16 16:01:11 by jwe]
jwe
parents:
diff changeset
514 /*
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14360
diff changeset
515 %!assert (gcd (200, 300, 50, 35), 5)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14360
diff changeset
516 %!assert (gcd (int16 (200), int16 (300), int16 (50), int16 (35)), int16 (5))
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14360
diff changeset
517 %!assert (gcd (uint64 (200), uint64 (300), uint64 (50), uint64 (35)), uint64 (5))
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14360
diff changeset
518 %!assert (gcd (18-i, -29+3i), -3-4i)
7815
a41df65f3f00 Add some single precision test code and fix resulting bugs
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
519
19132
c3bdd640a4dd * gcd.cc: add more tests
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 18100
diff changeset
520 %!test
c3bdd640a4dd * gcd.cc: add more tests
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 18100
diff changeset
521 %! p = [953 967];
c3bdd640a4dd * gcd.cc: add more tests
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 18100
diff changeset
522 %! u = [953 + i*971, 967 + i*977];
c3bdd640a4dd * gcd.cc: add more tests
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 18100
diff changeset
523 %! [d, k(1), k(2)] = gcd (p(1), p(2));
c3bdd640a4dd * gcd.cc: add more tests
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 18100
diff changeset
524 %! [z, w(1), w(2)] = gcd (u(1), u(2));
21580
ecce63c99c3f maint: Add semicolons to terminate code in %! blocks.
Rik <rik@octave.org>
parents: 21301
diff changeset
525 %! assert (d, 1);
ecce63c99c3f maint: Add semicolons to terminate code in %! blocks.
Rik <rik@octave.org>
parents: 21301
diff changeset
526 %! assert (sum (p.*k), d);
ecce63c99c3f maint: Add semicolons to terminate code in %! blocks.
Rik <rik@octave.org>
parents: 21301
diff changeset
527 %! assert (abs (z), sqrt (2));
ecce63c99c3f maint: Add semicolons to terminate code in %! blocks.
Rik <rik@octave.org>
parents: 21301
diff changeset
528 %! assert (abs (sum (u.*w)), sqrt (2));
19132
c3bdd640a4dd * gcd.cc: add more tests
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 18100
diff changeset
529
21581
6fab85c1538f maint: Follow Octave conventions for use of semicolon in BIST tests.
Rik <rik@octave.org>
parents: 21580
diff changeset
530 %!error <all values must be integers> gcd (1/2, 2)
6fab85c1538f maint: Follow Octave conventions for use of semicolon in BIST tests.
Rik <rik@octave.org>
parents: 21580
diff changeset
531 %!error <all complex parts must be integers> gcd (e + i*pi, 1)
19132
c3bdd640a4dd * gcd.cc: add more tests
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 18100
diff changeset
532
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14360
diff changeset
533 %!error gcd ()
7815
a41df65f3f00 Add some single precision test code and fix resulting bugs
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
534
a41df65f3f00 Add some single precision test code and fix resulting bugs
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
535 %!test
a41df65f3f00 Add some single precision test code and fix resulting bugs
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
536 %! s.a = 1;
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14360
diff changeset
537 %! fail ("gcd (s)");
4864
d49d761c8c93 [project @ 2004-04-16 16:01:11 by jwe]
jwe
parents:
diff changeset
538 */
29958
32c3a5805893 move DEFUN and DEFMETHOD functions inside octave namespace
John W. Eaton <jwe@octave.org>
parents: 29931
diff changeset
539
32c3a5805893 move DEFUN and DEFMETHOD functions inside octave namespace
John W. Eaton <jwe@octave.org>
parents: 29931
diff changeset
540 OCTAVE_NAMESPACE_END