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annotate libinterp/corefcn/det.cc @ 23582:0cc2011d800e

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maint: Deprecate is_real_type and replace with isreal. * ov.h (is_real_type): Use OCTAVE_DEPRECATED macro around function. * ov.h (isreal): New function. * QtHandlesUtils.cc, __luinc__.cc, bsxfun.cc, cellfun.cc, conv2.cc, data.cc, det.cc, eig.cc, ellipj.cc, fft.cc, fft2.cc, fftn.cc, find.cc, graphics.cc, graphics.in.h, gsvd.cc, hess.cc, inv.cc, lu.cc, mex.cc, oct-stream.cc, pinv.cc, psi.cc, qz.cc, schur.cc, svd.cc, typecast.cc, chol.cc, dmperm.cc, qr.cc, symbfact.cc, symrcm.cc, ov-base-int.h, ov-base.h, ov-bool-mat.h, ov-bool-sparse.h, ov-bool.h, ov-ch-mat.h, ov-float.h, ov-flt-re-diag.h, ov-flt-re-mat.h, ov-java.cc, ov-lazy-idx.h, ov-perm.h, ov-range.h, ov-re-diag.h, ov-re-mat.h, ov-re-sparse.h, ov-scalar.h, pt-tm-const.cc: Replace instances of is_real_type with isreal.
author Rik <rik@octave.org>
date Tue, 13 Jun 2017 07:53:53 -0700
parents c3075ae020e1
children b7747a2c88b2
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1 /*
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2
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3 Copyright (C) 1996-2017 John W. Eaton
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4
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5 This file is part of Octave.
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6
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7 Octave is free software; you can redistribute it and/or modify it
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8 under the terms of the GNU General Public License as published by
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9 the Free Software Foundation; either version 3 of the License, or
3a2b891d0b33 maint: Standardize Copyright formatting.
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10 (at your option) any later version.
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11
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12 Octave is distributed in the hope that it will be useful, but
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13 WITHOUT ANY WARRANTY; without even the implied warranty of
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14 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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15 GNU General Public License for more details.
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16
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17 You should have received a copy of the GNU General Public License
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18 along with Octave; see the file COPYING. If not, see
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19 <http://www.gnu.org/licenses/>.
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20
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21 */
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22
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23 #if defined (HAVE_CONFIG_H)
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24 # include "config.h"
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25 #endif
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26
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27 #include "DET.h"
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29 #include "defun.h"
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30 #include "error.h"
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31 #include "errwarn.h"
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32 #include "ovl.h"
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33 #include "ops.h"
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34
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35 #include "ov-re-mat.h"
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36 #include "ov-cx-mat.h"
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37 #include "ov-flt-re-mat.h"
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38 #include "ov-flt-cx-mat.h"
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39 #include "ov-re-diag.h"
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40 #include "ov-cx-diag.h"
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41 #include "ov-flt-re-diag.h"
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42 #include "ov-flt-cx-diag.h"
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43 #include "ov-perm.h"
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44
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45 #define MAYBE_CAST(VAR, CLASS) \
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46 const CLASS *VAR = (arg.type_id () == CLASS::static_type_id () \
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47 ? dynamic_cast<const CLASS *> (&arg.get_rep ()) \
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48 : 0)
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49
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50 DEFUN (det, args, nargout,
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51 doc: /* -*- texinfo -*-
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52 @deftypefn {} {} det (@var{A})
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53 @deftypefnx {} {[@var{d}, @var{rcond}] =} det (@var{A})
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54 Compute the determinant of @var{A}.
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55
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56 Return an estimate of the reciprocal condition number if requested.
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57
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58 Programming Notes: Routines from @sc{lapack} are used for full matrices and
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59 code from @sc{umfpack} is used for sparse matrices.
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60
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61 The determinant should not be used to check a matrix for singularity.
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62 For that, use any of the condition number functions: @code{cond},
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63 @code{condest}, @code{rcond}.
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64 @seealso{cond, condest, rcond}
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65 @end deftypefn */)
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66 {
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67 if (args.length () != 1)
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68 print_usage ();
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69
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70 octave_value arg = args(0);
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71
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72 if (arg.isempty ())
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73 return ovl (1.0);
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74
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75 if (arg.rows () != arg.columns ())
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76 err_square_matrix_required ("det", "A");
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78 octave_value_list retval (2);
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79
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80 bool isfloat = arg.is_single_type ();
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81
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82 if (arg.is_diag_matrix ())
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83 {
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84 if (nargout <= 1)
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85 retval.resize (1);
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86
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87 if (arg.iscomplex ())
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88 {
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89 if (isfloat)
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90 {
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91 retval(0) = arg.float_complex_diag_matrix_value ()
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92 .determinant ().value ();
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93 if (nargout > 1)
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94 retval(1) = arg.float_complex_diag_matrix_value ().rcond ();
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95 }
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96 else
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97 {
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98 retval(0) = arg.complex_diag_matrix_value ()
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99 .determinant ().value ();
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100 if (nargout > 1)
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101 retval(1) = arg.complex_diag_matrix_value ().rcond ();
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102 }
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103 }
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104 else
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105 {
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106 if (isfloat)
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107 {
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108 retval(0) = arg.float_diag_matrix_value ()
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109 .determinant ().value ();
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110 if (nargout > 1)
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111 retval(1) = arg.float_diag_matrix_value ().rcond ();
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112 }
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113 else
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114 {
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115 retval(0) = arg.diag_matrix_value ().determinant ().value ();
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116 if (nargout > 1)
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117 retval(1) = arg.diag_matrix_value ().rcond ();
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118 }
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119 }
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120 }
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121 else if (arg.is_perm_matrix ())
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122 {
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123 if (nargout <= 1)
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124 retval.resize (1);
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125
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126 retval(0) = static_cast<double> (arg.perm_matrix_value ().determinant ());
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127 if (nargout > 1)
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128 retval(1) = 1.0;
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129 }
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130 else if (arg.is_single_type ())
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131 {
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132 if (arg.isreal ())
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133 {
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134 octave_idx_type info;
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135 float rcond = 0.0;
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136 // Always compute rcond, so we can detect singular matrices.
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137 FloatMatrix m = arg.float_matrix_value ();
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138
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139 MAYBE_CAST (rep, octave_float_matrix);
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140 MatrixType mtype = (rep ? rep -> matrix_type () : MatrixType ());
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141 FloatDET det = m.determinant (mtype, info, rcond);
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142 retval(0) = (info == -1 ? 0.0f : det.value ());
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143 retval(1) = rcond;
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144 if (rep)
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145 rep->matrix_type (mtype);
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146 }
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147 else if (arg.iscomplex ())
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148 {
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149 octave_idx_type info;
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150 float rcond = 0.0;
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151 // Always compute rcond, so we can detect singular matrices.
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152 FloatComplexMatrix m = arg.float_complex_matrix_value ();
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153
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154 MAYBE_CAST (rep, octave_float_complex_matrix);
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155 MatrixType mtype = (rep ? rep -> matrix_type () : MatrixType ());
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156 FloatComplexDET det = m.determinant (mtype, info, rcond);
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157 retval(0) = (info == -1 ? FloatComplex (0.0) : det.value ());
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158 retval(1) = rcond;
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159 if (rep)
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160 rep->matrix_type (mtype);
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161 }
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162 }
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163 else
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164 {
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165 if (arg.isreal ())
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166 {
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167 octave_idx_type info;
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168 double rcond = 0.0;
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169 // Always compute rcond, so we can detect singular matrices.
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170 if (arg.is_sparse_type ())
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171 {
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172 SparseMatrix m = arg.sparse_matrix_value ();
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173
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174 DET det = m.determinant (info, rcond);
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175 retval(0) = (info == -1 ? 0.0 : det.value ());
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176 retval(1) = rcond;
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177 }
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178 else
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179 {
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180 Matrix m = arg.matrix_value ();
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181
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182 MAYBE_CAST (rep, octave_matrix);
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183 MatrixType mtype = (rep ? rep -> matrix_type ()
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184 : MatrixType ());
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185 DET det = m.determinant (mtype, info, rcond);
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186 retval(0) = (info == -1 ? 0.0 : det.value ());
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187 retval(1) = rcond;
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188 if (rep)
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189 rep->matrix_type (mtype);
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190 }
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191 }
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192 else if (arg.iscomplex ())
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193 {
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194 octave_idx_type info;
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195 double rcond = 0.0;
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196 // Always compute rcond, so we can detect singular matrices.
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197 if (arg.is_sparse_type ())
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198 {
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199 SparseComplexMatrix m = arg.sparse_complex_matrix_value ();
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200
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201 ComplexDET det = m.determinant (info, rcond);
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202 retval(0) = (info == -1 ? Complex (0.0) : det.value ());
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203 retval(1) = rcond;
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204 }
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205 else
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206 {
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207 ComplexMatrix m = arg.complex_matrix_value ();
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208
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209 MAYBE_CAST (rep, octave_complex_matrix);
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210 MatrixType mtype = (rep ? rep -> matrix_type ()
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211 : MatrixType ());
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212 ComplexDET det = m.determinant (mtype, info, rcond);
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213 retval(0) = (info == -1 ? Complex (0.0) : det.value ());
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214 retval(1) = rcond;
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215 if (rep)
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216 rep->matrix_type (mtype);
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217 }
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218 }
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219 else
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220 err_wrong_type_arg ("det", arg);
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221 }
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diff changeset
222
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223 return retval;
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224 }
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225
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
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226 /*
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227 %!assert (det ([1, 2; 3, 4]), -2, 10*eps)
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228 %!assert (det (single ([1, 2; 3, 4])), single (-2), 10*eps ("single"))
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229 %!error det ()
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230 %!error det (1, 2)
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231 %!error <must be a square matrix> det ([1, 2; 3, 4; 5, 6])
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232 */