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annotate libinterp/corefcn/ordschur.cc @ 22135:407c66ae1e20

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reduce warnings from GCC's link-time optimization feature (bug #48531) * f77-fcn.h (F77_DBLE_CMPLX, F77_CMPLX): Use C types instead of typedefs for std::complex<T> types. (F77_CMPLX_ARG, F77_CONST_CMPLX_ARG, F77_DBLE_CMPLX_ARG, F77_CONST_DBLE_CMPLX_ARG): New macros. * dot.cc, ordschur.cc, qz.cc, CColVector.cc, CMatrix.cc, CRowVector.cc, CSparse.cc, dSparse.cc, fCColVector.cc, fCMatrix.cc, fCRowVector.cc, f77-fcn.h, EIG.cc, aepbalance.cc, chol.cc, eigs-base.cc, fEIG.cc, gepbalance.cc, hess.cc, lo-specfun.cc, lu.cc, oct-convn.cc, qr.cc, qrp.cc, schur.cc, svd.cc: Use new macros for passing complex arguments to Fortran function. Always pass pointers to complex arguments.
author John W. Eaton <jwe@octave.org>
date Mon, 18 Jul 2016 09:38:57 -0400
parents 59cadee1c74b
children e43d83253e28
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
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1 /*
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2
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3 Copyright (C) 2015 Sébastien Villemot <sebastien@debian.org>
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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 the
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9 Free Software Foundation; either version 3 of the License, or (at your
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10 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 WITHOUT
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13 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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14 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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15 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 "defun.h"
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28 #include "error.h"
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29 #include "ovl.h"
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30 #include "f77-fcn.h"
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31
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32 extern "C"
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33 {
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34 F77_RET_T
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35 F77_FUNC (dtrsen, DTRSEN) (F77_CONST_CHAR_ARG_DECL, F77_CONST_CHAR_ARG_DECL,
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36 const F77_INT*, const F77_INT&,
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37 F77_DBLE*, const F77_INT&, F77_DBLE*, const F77_INT&,
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38 F77_DBLE*, F77_DBLE*, F77_INT&, F77_DBLE&, F77_DBLE&, F77_DBLE*,
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39 const F77_INT&, F77_INT*,
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40 const F77_INT&, F77_INT&);
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41
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42 F77_RET_T
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43 F77_FUNC (ztrsen, ZTRSEN) (F77_CONST_CHAR_ARG_DECL, F77_CONST_CHAR_ARG_DECL,
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44 const F77_INT*, const F77_INT&,
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45 F77_DBLE_CMPLX*, const F77_INT&, F77_DBLE_CMPLX*, const F77_INT&,
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46 F77_DBLE_CMPLX*, F77_INT&, F77_DBLE&, F77_DBLE&, F77_DBLE_CMPLX*,
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47 const F77_INT&, F77_INT &);
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48
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49 F77_RET_T
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50 F77_FUNC (strsen, STRSEN) (F77_CONST_CHAR_ARG_DECL, F77_CONST_CHAR_ARG_DECL,
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51 const F77_INT*, const F77_INT&,
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52 F77_REAL*, const F77_INT&, F77_REAL*, const F77_INT&,
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53 F77_REAL*, F77_REAL*, F77_INT&, F77_REAL&, F77_REAL&, F77_REAL*,
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54 const F77_INT&, F77_INT*,
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55 const F77_INT&, F77_INT&);
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56
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57 F77_RET_T
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58 F77_FUNC (ctrsen, CTRSEN) (F77_CONST_CHAR_ARG_DECL, F77_CONST_CHAR_ARG_DECL,
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59 const F77_INT*, const F77_INT&,
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60 F77_CMPLX*, const F77_INT&, F77_CMPLX*, const F77_INT&,
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61 F77_CMPLX*, F77_INT&, F77_REAL&, F77_REAL&, F77_CMPLX*,
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62 const F77_INT&, F77_INT &);
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63 }
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64
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65 DEFUN (ordschur, args, ,
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66 doc: /* -*- texinfo -*-
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67 @deftypefn {} {[@var{UR}, @var{SR}] =} ordschur (@var{U}, @var{S}, @var{select})
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68 Reorders the real Schur factorization (@var{U},@var{S}) obtained with the
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69 @code{schur} function, so that selected eigenvalues appear in the upper left
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70 diagonal blocks of the quasi triangular Schur matrix.
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71
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72 The logical vector @var{select} specifies the selected eigenvalues as they
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73 appear along @var{S}'s diagonal.
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74
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75 For example, given the matrix @code{@var{A} = [1, 2; 3, 4]}, and its Schur
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76 decomposition
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77
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78 @example
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79 [@var{U}, @var{S}] = schur (@var{A})
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80 @end example
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81
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82 @noindent
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83 which returns
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84
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85 @example
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86 @group
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87 @var{U} =
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88
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89 -0.82456 -0.56577
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90 0.56577 -0.82456
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91
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92 @var{S} =
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93
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94 -0.37228 -1.00000
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95 0.00000 5.37228
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96
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97 @end group
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98 @end example
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99
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100 It is possible to reorder the decomposition so that the positive eigenvalue
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101 is in the upper left corner, by doing:
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102
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103 @example
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104 [@var{U}, @var{S}] = ordschur (@var{U}, @var{S}, [0,1])
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105 @end example
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106
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107 @seealso{schur}
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108 @end deftypefn */)
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109 {
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110 if (args.length () != 3)
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111 print_usage ();
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112
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113 const Array<octave_idx_type> sel = args(2).octave_idx_type_vector_value ("ordschur: SELECT must be an array of integers");
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114
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115 const octave_idx_type n = sel.numel ();
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116
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117 const dim_vector dimU = args(0).dims ();
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118 const dim_vector dimS = args(1).dims ();
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119
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120 if (n != dimU(0))
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121 error ("ordschur: SELECT must have same length as the sides of U and S");
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122 else if (n != dimU(0) || n != dimS(0) || n != dimU(1) || n != dimS(1))
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123 error ("ordschur: U and S must be square and of equal sizes");
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124
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125 octave_value_list retval;
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126
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127 const bool double_type = args(0).is_double_type ()
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128 || args(1).is_double_type ();
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129 const bool complex_type = args(0).is_complex_type ()
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130 || args(1).is_complex_type ();
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131
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132 #define PREPARE_ARGS(TYPE, TYPE_M, TYPE_COND) \
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133 TYPE ## Matrix U = args(0).x ## TYPE_M ## _value ("ordschur: U and S must be real or complex floating point matrices"); \
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134 TYPE ## Matrix S = args(1).x ## TYPE_M ## _value ("ordschur: U and S must be real or complex floating point matrices"); \
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135 TYPE ## Matrix w (dim_vector (n, 1)); \
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136 TYPE ## Matrix work (dim_vector (n, 1)); \
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137 octave_idx_type m; \
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138 octave_idx_type info; \
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139 TYPE_COND cond1, cond2;
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140
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141 #define PREPARE_OUTPUT()\
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142 if (info != 0) \
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143 error ("ordschur: trsen failed"); \
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144 \
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145 retval = ovl (U, S);
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146
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147 if (double_type)
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148 {
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149 if (complex_type)
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150 {
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151 PREPARE_ARGS (Complex, complex_matrix, double)
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152
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153 F77_XFCN (ztrsen, ztrsen,
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154 (F77_CONST_CHAR_ARG ("N"), F77_CONST_CHAR_ARG ("V"),
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155 sel.data (), n, F77_DBLE_CMPLX_ARG (S.fortran_vec ()), n, F77_DBLE_CMPLX_ARG (U.fortran_vec ()), n,
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156 F77_DBLE_CMPLX_ARG (w.fortran_vec ()), m, cond1, cond2, F77_DBLE_CMPLX_ARG (work.fortran_vec ()), n,
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157 info));
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158
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159 PREPARE_OUTPUT()
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160 }
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161 else
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162 {
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163 PREPARE_ARGS (, matrix, double)
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164 Matrix wi (dim_vector (n, 1));
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165 Array<octave_idx_type> iwork (dim_vector (n, 1));
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166
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167 F77_XFCN (dtrsen, dtrsen,
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168 (F77_CONST_CHAR_ARG ("N"), F77_CONST_CHAR_ARG ("V"),
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169 sel.data (), n, S.fortran_vec (), n, U.fortran_vec (), n,
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170 w.fortran_vec (), wi.fortran_vec (), m, cond1, cond2,
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171 work.fortran_vec (), n, iwork.fortran_vec (), n, info));
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172
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173 PREPARE_OUTPUT ()
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174 }
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175 }
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176 else
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177 {
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178 if (complex_type)
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179 {
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180 PREPARE_ARGS (FloatComplex, float_complex_matrix, float)
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181
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182 F77_XFCN (ctrsen, ctrsen,
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183 (F77_CONST_CHAR_ARG ("N"), F77_CONST_CHAR_ARG ("V"),
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184 sel.data (), n, F77_CMPLX_ARG (S.fortran_vec ()), n, F77_CMPLX_ARG (U.fortran_vec ()), n,
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185 F77_CMPLX_ARG (w.fortran_vec ()), m, cond1, cond2, F77_CMPLX_ARG (work.fortran_vec ()), n,
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186 info));
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187
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188 PREPARE_OUTPUT ()
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189 }
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190 else
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191 {
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192 PREPARE_ARGS (Float, float_matrix, float)
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193 FloatMatrix wi (dim_vector (n, 1));
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194 Array<octave_idx_type> iwork (dim_vector (n, 1));
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195
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196 F77_XFCN (strsen, strsen,
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197 (F77_CONST_CHAR_ARG ("N"), F77_CONST_CHAR_ARG ("V"),
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198 sel.data (), n, S.fortran_vec (), n, U.fortran_vec (), n,
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199 w.fortran_vec (), wi.fortran_vec (), m, cond1, cond2,
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200 work.fortran_vec (), n, iwork.fortran_vec (), n, info));
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201
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202 PREPARE_OUTPUT ()
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203 }
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204 }
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205
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206 #undef PREPARE_ARGS
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207 #undef PREPARE_OUTPUT
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208
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209 return retval;
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210 }
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211
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212 /*
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213
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214 %!test
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215 %! A = [1, 2, 3, -2; 4, 5, 6, -5 ; 7, 8, 9, -5; 10, 11, 12, 4 ];
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216 %! [U, T] = schur (A);
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217 %! [US, TS] = ordschur (U, T, [ 0, 0, 1, 1 ]);
21580
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218 %! assert (US*TS*US', A, sqrt (eps));
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219 %! assert (diag (T)(3:4), diag (TS)(1:2), sqrt (eps));
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220
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221 %!test
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222 %! A = [1, 2, 3, -2; 4, 5, 6, -5 ; 7, 8, 9, -5; 10, 11, 12, 4 ];
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223 %! [U, T] = schur (A);
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224 %! [US, TS] = ordschur (single (U), single (T), [ 0, 0, 1, 1 ]);
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225 %! assert (US*TS*US', A, sqrt (eps ("single")));
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226 %! assert (diag (T)(3:4), diag (TS)(1:2), sqrt (eps ("single")));
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227
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228 %!test
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229 %! A = [1, 2, 3, -2; 4, 5, 6, -5 ; 7, 8, 9, -5; 10, 11, 12, 4+3i ];
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230 %! [U, T] = schur (A);
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231 %! [US, TS] = ordschur (U, T, [ 0, 0, 1, 1 ]);
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232 %! assert (US*TS*US', A, sqrt (eps));
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233 %! assert (diag (T)(3:4), diag (TS)(1:2), sqrt (eps));
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234
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235 %!test
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236 %! A = [1, 2, 3, -2; 4, 5, 6, -5 ; 7, 8, 9, -5; 10, 11, 12, 4+3i ];
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237 %! [U, T] = schur (A);
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238 %! [US, TS] = ordschur (single (U), single (T), [ 0, 0, 1, 1 ]);
21580
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239 %! assert (US*TS*US', A, sqrt (eps ("single")));
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240 %! assert (diag (T)(3:4), diag (TS)(1:2), sqrt (eps ("single")));
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241
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242 */