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annotate libinterp/corefcn/tril.cc @ 20830:b65888ec820e draft default tip gccjit

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dmalcom gcc jit import
author Stefan Mahr <dac922@gmx.de>
date Fri, 27 Feb 2015 16:59:36 +0100
parents f90c8372b7ba
children
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1 /*
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2
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3 Copyright (C) 2004-2015 David Bateman
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4 Copyright (C) 2009 VZLU Prague
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5
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6 This file is part of Octave.
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7
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8 Octave is free software; you can redistribute it and/or modify it
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9 under the terms of the GNU General Public License as published by the
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10 Free Software Foundation; either version 3 of the License, or (at your
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11 option) any later version.
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12
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13 Octave is distributed in the hope that it will be useful, but WITHOUT
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14 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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15 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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16 for more details.
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17
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18 You should have received a copy of the GNU General Public License
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19 along with Octave; see the file COPYING. If not, see
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20 <http://www.gnu.org/licenses/>.
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21
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22 */
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23
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24 #ifdef HAVE_CONFIG_H
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25 #include <config.h>
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26 #endif
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27
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28 #include <algorithm>
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29 #include "Array.h"
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30 #include "Sparse.h"
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31 #include "mx-base.h"
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32
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33 #include "ov.h"
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34 #include "Cell.h"
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35
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36 #include "defun.h"
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37 #include "error.h"
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38 #include "oct-obj.h"
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39
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40 // The bulk of the work.
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41 template <class T>
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42 static Array<T>
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43 do_tril (const Array<T>& a, octave_idx_type k, bool pack)
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44 {
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45 octave_idx_type nr = a.rows ();
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46 octave_idx_type nc = a.columns ();
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47 const T *avec = a.fortran_vec ();
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48 octave_idx_type zero = 0;
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49
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50 if (pack)
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51 {
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52 octave_idx_type j1 = std::min (std::max (zero, k), nc);
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53 octave_idx_type j2 = std::min (std::max (zero, nr + k), nc);
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54 octave_idx_type n = j1 * nr + ((j2 - j1) * (nr-(j1-k) + nr-(j2-1-k))) / 2;
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55 Array<T> r (dim_vector (n, 1));
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56 T *rvec = r.fortran_vec ();
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57 for (octave_idx_type j = 0; j < nc; j++)
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58 {
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59 octave_idx_type ii = std::min (std::max (zero, j - k), nr);
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60 rvec = std::copy (avec + ii, avec + nr, rvec);
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61 avec += nr;
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62 }
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63
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64 return r;
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65 }
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66 else
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67 {
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68 Array<T> r (a.dims ());
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69 T *rvec = r.fortran_vec ();
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70 for (octave_idx_type j = 0; j < nc; j++)
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71 {
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72 octave_idx_type ii = std::min (std::max (zero, j - k), nr);
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73 std::fill (rvec, rvec + ii, T ());
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74 std::copy (avec + ii, avec + nr, rvec + ii);
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75 avec += nr;
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76 rvec += nr;
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77 }
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78
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79 return r;
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80 }
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81 }
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82
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83 template <class T>
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84 static Array<T>
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85 do_triu (const Array<T>& a, octave_idx_type k, bool pack)
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86 {
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87 octave_idx_type nr = a.rows ();
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88 octave_idx_type nc = a.columns ();
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89 const T *avec = a.fortran_vec ();
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90 octave_idx_type zero = 0;
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91
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92 if (pack)
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93 {
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94 octave_idx_type j1 = std::min (std::max (zero, k), nc);
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95 octave_idx_type j2 = std::min (std::max (zero, nr + k), nc);
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96 octave_idx_type n
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97 = ((j2 - j1) * ((j1+1-k) + (j2-k))) / 2 + (nc - j2) * nr;
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98 Array<T> r (dim_vector (n, 1));
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99 T *rvec = r.fortran_vec ();
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100 for (octave_idx_type j = 0; j < nc; j++)
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101 {
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102 octave_idx_type ii = std::min (std::max (zero, j + 1 - k), nr);
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103 rvec = std::copy (avec, avec + ii, rvec);
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104 avec += nr;
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105 }
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106
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107 return r;
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108 }
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109 else
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110 {
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111 NoAlias<Array<T> > r (a.dims ());
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112 T *rvec = r.fortran_vec ();
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113 for (octave_idx_type j = 0; j < nc; j++)
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114 {
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115 octave_idx_type ii = std::min (std::max (zero, j + 1 - k), nr);
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116 std::copy (avec, avec + ii, rvec);
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117 std::fill (rvec + ii, rvec + nr, T ());
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118 avec += nr;
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119 rvec += nr;
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120 }
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121
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122 return r;
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123 }
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124 }
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125
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126 // These two are by David Bateman.
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127 // FIXME: optimizations possible. "pack" support missing.
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128
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129 template <class T>
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130 static Sparse<T>
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131 do_tril (const Sparse<T>& a, octave_idx_type k, bool pack)
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132 {
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133 if (pack) // FIXME
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134 {
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135 error ("tril: \"pack\" not implemented for sparse matrices");
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136 return Sparse<T> ();
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137 }
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138
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139 Sparse<T> m = a;
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140 octave_idx_type nc = m.cols ();
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141
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142 for (octave_idx_type j = 0; j < nc; j++)
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143 for (octave_idx_type i = m.cidx (j); i < m.cidx (j+1); i++)
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144 if (m.ridx (i) < j-k)
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145 m.data(i) = 0.;
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146
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147 m.maybe_compress (true);
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148 return m;
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149 }
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150
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151 template <class T>
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152 static Sparse<T>
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153 do_triu (const Sparse<T>& a, octave_idx_type k, bool pack)
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154 {
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155 if (pack) // FIXME
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156 {
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157 error ("triu: \"pack\" not implemented for sparse matrices");
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158 return Sparse<T> ();
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159 }
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160
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161 Sparse<T> m = a;
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162 octave_idx_type nc = m.cols ();
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163
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164 for (octave_idx_type j = 0; j < nc; j++)
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165 for (octave_idx_type i = m.cidx (j); i < m.cidx (j+1); i++)
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166 if (m.ridx (i) > j-k)
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167 m.data(i) = 0.;
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168
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169 m.maybe_compress (true);
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170 return m;
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171 }
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172
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173 // Convenience dispatchers.
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174 template <class T>
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175 static Array<T>
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176 do_trilu (const Array<T>& a, octave_idx_type k, bool lower, bool pack)
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177 {
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178 return lower ? do_tril (a, k, pack) : do_triu (a, k, pack);
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179 }
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180
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181 template <class T>
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182 static Sparse<T>
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183 do_trilu (const Sparse<T>& a, octave_idx_type k, bool lower, bool pack)
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184 {
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185 return lower ? do_tril (a, k, pack) : do_triu (a, k, pack);
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186 }
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187
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188 static octave_value
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189 do_trilu (const std::string& name,
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190 const octave_value_list& args)
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191 {
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192 bool lower = name == "tril";
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193
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194 octave_value retval;
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195 int nargin = args.length ();
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196 octave_idx_type k = 0;
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197 bool pack = false;
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198 if (nargin >= 2 && args(nargin-1).is_string ())
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199 {
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200 pack = args(nargin-1).string_value () == "pack";
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201 nargin--;
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202 }
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203
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204 if (nargin == 2)
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205 k = args(1).int_value (true);
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206
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207 if (nargin < 1 || nargin > 2)
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208 print_usage ();
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209 else
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210 {
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211 octave_value arg = args(0);
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212
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213 dim_vector dims = arg.dims ();
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214 if (dims.length () != 2)
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215 error ("%s: need a 2-D matrix", name.c_str ());
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216 else if (k < -dims(0) || k > dims(1))
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217 error ("%s: requested diagonal out of range", name.c_str ());
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218 else
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219 {
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220 switch (arg.builtin_type ())
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221 {
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222 case btyp_double:
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223 if (arg.is_sparse_type ())
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224 retval = do_trilu (arg.sparse_matrix_value (), k, lower, pack);
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225 else
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226 retval = do_trilu (arg.array_value (), k, lower, pack);
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227 break;
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228 case btyp_complex:
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229 if (arg.is_sparse_type ())
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230 retval = do_trilu (arg.sparse_complex_matrix_value (), k, lower,
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231 pack);
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232 else
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233 retval = do_trilu (arg.complex_array_value (), k, lower, pack);
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234 break;
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235 case btyp_bool:
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236 if (arg.is_sparse_type ())
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237 retval = do_trilu (arg.sparse_bool_matrix_value (), k, lower,
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238 pack);
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239 else
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240 retval = do_trilu (arg.bool_array_value (), k, lower, pack);
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241 break;
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242 #define ARRAYCASE(TYP) \
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243 case btyp_ ## TYP: \
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244 retval = do_trilu (arg.TYP ## _array_value (), k, lower, pack); \
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245 break
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246 ARRAYCASE (float);
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247 ARRAYCASE (float_complex);
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248 ARRAYCASE (int8);
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249 ARRAYCASE (int16);
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250 ARRAYCASE (int32);
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251 ARRAYCASE (int64);
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252 ARRAYCASE (uint8);
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253 ARRAYCASE (uint16);
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254 ARRAYCASE (uint32);
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255 ARRAYCASE (uint64);
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256 ARRAYCASE (char);
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257 #undef ARRAYCASE
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258 default:
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259 {
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260 // Generic code that works on octave-values, that is slow
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261 // but will also work on arbitrary user types
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262
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263 if (pack) // FIXME
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264 {
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265 error ("%s: \"pack\" not implemented for class %s",
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266 name.c_str (), arg.class_name ().c_str ());
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267 return octave_value ();
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268 }
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269
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270 octave_value tmp = arg;
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271 if (arg.numel () == 0)
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272 return arg;
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273
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274 octave_idx_type nr = dims(0);
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275 octave_idx_type nc = dims(1);
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276
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277 // The sole purpose of the below is to force the correct
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278 // matrix size. This would not be necessary if the
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279 // octave_value resize function allowed a fill_value.
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280 // It also allows odd attributes in some user types
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281 // to be handled. With a fill_value ot should be replaced
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282 // with
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283 //
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284 // octave_value_list ov_idx;
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285 // tmp = tmp.resize(dim_vector (0,0)).resize (dims, fill_value);
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286
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287 octave_value_list ov_idx;
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288 std::list<octave_value_list> idx_tmp;
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289 ov_idx(1) = static_cast<double> (nc+1);
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290 ov_idx(0) = Range (1, nr);
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291 idx_tmp.push_back (ov_idx);
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292 ov_idx(1) = static_cast<double> (nc);
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293 tmp = tmp.resize (dim_vector (0,0));
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294 tmp = tmp.subsasgn ("(",idx_tmp, arg.do_index_op (ov_idx));
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295 tmp = tmp.resize (dims);
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296
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297 if (lower)
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298 {
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299 octave_idx_type st = nc < nr + k ? nc : nr + k;
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300
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301 for (octave_idx_type j = 1; j <= st; j++)
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302 {
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303 octave_idx_type nr_limit = 1 > j - k ? 1 : j - k;
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304 ov_idx(1) = static_cast<double> (j);
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305 ov_idx(0) = Range (nr_limit, nr);
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306 std::list<octave_value_list> idx;
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307 idx.push_back (ov_idx);
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308
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309 tmp = tmp.subsasgn ("(", idx, arg.do_index_op (ov_idx));
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310 }
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311 }
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312 else
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313 {
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314 octave_idx_type st = k + 1 > 1 ? k + 1 : 1;
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315
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316 for (octave_idx_type j = st; j <= nc; j++)
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317 {
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318 octave_idx_type nr_limit = nr < j - k ? nr : j - k;
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319 ov_idx(1) = static_cast<double> (j);
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320 ov_idx(0) = Range (1, nr_limit);
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321 std::list<octave_value_list> idx;
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322 idx.push_back (ov_idx);
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323
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324 tmp = tmp.subsasgn ("(", idx, arg.do_index_op (ov_idx));
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325 }
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326 }
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327
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328 retval = tmp;
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329 }
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330 }
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331 }
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332 }
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333
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334 return retval;
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335 }
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336
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337 DEFUN (tril, args, ,
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338 "-*- texinfo -*-\n\
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339 @deftypefn {Function File} {} tril (@var{A})\n\
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340 @deftypefnx {Function File} {} tril (@var{A}, @var{k})\n\
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341 @deftypefnx {Function File} {} tril (@var{A}, @var{k}, @var{pack})\n\
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342 @deftypefnx {Function File} {} triu (@var{A})\n\
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343 @deftypefnx {Function File} {} triu (@var{A}, @var{k})\n\
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344 @deftypefnx {Function File} {} triu (@var{A}, @var{k}, @var{pack})\n\
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345 Return a new matrix formed by extracting the lower (@code{tril})\n\
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346 or upper (@code{triu}) triangular part of the matrix @var{A}, and\n\
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347 setting all other elements to zero.\n\
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348 \n\
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349 The second argument is optional, and specifies how many diagonals above or\n\
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350 below the main diagonal should also be set to zero.\n\
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351 \n\
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352 The default value of @var{k} is zero, so that @code{triu} and @code{tril}\n\
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353 normally include the main diagonal as part of the result.\n\
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354 \n\
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355 If the value of @var{k} is nonzero integer, the selection of elements starts\n\
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356 at an offset of @var{k} diagonals above or below the main diagonal; above\n\
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357 for positive @var{k} and below for negative @var{k}.\n\
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358 \n\
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359 The absolute value of @var{k} must not be greater than the number of\n\
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360 subdiagonals or superdiagonals.\n\
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361 \n\
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362 For example:\n\
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363 \n\
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364 @example\n\
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365 @group\n\
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366 tril (ones (3), -1)\n\
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367 @result{} 0 0 0\n\
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368 1 0 0\n\
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369 1 1 0\n\
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370 @end group\n\
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371 @end example\n\
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372 \n\
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373 @noindent\n\
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374 and\n\
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375 \n\
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376 @example\n\
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377 @group\n\
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378 tril (ones (3), 1)\n\
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379 @result{} 1 1 0\n\
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380 1 1 1\n\
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381 1 1 1\n\
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382 @end group\n\
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383 @end example\n\
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384 \n\
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385 If the option @qcode{\"pack\"} is given as third argument, the extracted\n\
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386 elements are not inserted into a matrix, but rather stacked column-wise one\n\
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387 above other.\n\
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388 @seealso{diag}\n\
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389 @end deftypefn")
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390 {
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391 return do_trilu ("tril", args);
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392 }
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393
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394 DEFUN (triu, args, ,
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395 "-*- texinfo -*-\n\
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396 @deftypefn {Function File} {} triu (@var{A})\n\
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397 @deftypefnx {Function File} {} triu (@var{A}, @var{k})\n\
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398 @deftypefnx {Function File} {} triu (@var{A}, @var{k}, @var{pack})\n\
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399 See the documentation for the @code{tril} function (@pxref{tril}).\n\
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400 @seealso{tril}\n\
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401 @end deftypefn")
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402 {
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403 return do_trilu ("triu", args);
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404 }
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405
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406 /*
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407 %!test
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408 %! a = [1, 2, 3; 4, 5, 6; 7, 8, 9; 10, 11, 12];
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409 %!
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410 %! l0 = [1, 0, 0; 4, 5, 0; 7, 8, 9; 10, 11, 12];
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411 %! l1 = [1, 2, 0; 4, 5, 6; 7, 8, 9; 10, 11, 12];
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412 %! l2 = [1, 2, 3; 4, 5, 6; 7, 8, 9; 10, 11, 12];
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413 %! lm1 = [0, 0, 0; 4, 0, 0; 7, 8, 0; 10, 11, 12];
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414 %! lm2 = [0, 0, 0; 0, 0, 0; 7, 0, 0; 10, 11, 0];
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415 %! lm3 = [0, 0, 0; 0, 0, 0; 0, 0, 0; 10, 0, 0];
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416 %! lm4 = [0, 0, 0; 0, 0, 0; 0, 0, 0; 0, 0, 0];
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417 %!
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418 %! assert (tril (a, -4), lm4);
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419 %! assert (tril (a, -3), lm3);
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420 %! assert (tril (a, -2), lm2);
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421 %! assert (tril (a, -1), lm1);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
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422 %! assert (tril (a), l0);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
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423 %! assert (tril (a, 1), l1);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
424 %! assert (tril (a, 2), l2);
9756
b134960cea23 implement built-in tril/triu
Jaroslav Hajek <highegg@gmail.com>
parents:
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425
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
426 %!error tril ()
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b134960cea23 implement built-in tril/triu
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
427 */