Mercurial > octave
annotate libinterp/corefcn/tril.cc @ 31706:597f3ee61a48 stable
update Octave Project Developers copyright for the new year
author | John W. Eaton <jwe@octave.org> |
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date | Fri, 06 Jan 2023 13:11:27 -0500 |
parents | e88a07dec498 |
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rev | line source |
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1 //////////////////////////////////////////////////////////////////////// |
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2 // |
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3 // Copyright (C) 2004-2023 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 <algorithm> |
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31 #include "Array.h" |
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32 #include "Sparse.h" |
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33 #include "mx-base.h" |
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34 |
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35 #include "ov.h" |
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36 #include "Cell.h" |
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37 |
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38 #include "defun.h" |
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39 #include "error.h" |
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40 #include "ovl.h" |
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41 |
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42 OCTAVE_BEGIN_NAMESPACE(octave) |
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43 |
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44 // The bulk of the work. |
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45 template <typename T> |
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46 static Array<T> |
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47 do_tril (const Array<T>& a, octave_idx_type k, bool pack) |
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48 { |
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49 octave_idx_type nr = a.rows (); |
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50 octave_idx_type nc = a.columns (); |
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51 const T *avec = a.data (); |
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53 |
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54 if (pack) |
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55 { |
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56 octave_idx_type j1 = std::min (std::max (zero, k), nc); |
10258 | 57 octave_idx_type j2 = std::min (std::max (zero, nr + k), nc); |
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58 octave_idx_type n = j1 * nr + ((j2 - j1) * (nr-(j1-k) + nr-(j2-1-k))) / 2; |
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59 Array<T> r (dim_vector (n, 1)); |
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60 T *rvec = r.fortran_vec (); |
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61 for (octave_idx_type j = 0; j < nc; j++) |
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62 { |
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64 rvec = std::copy (avec + ii, avec + nr, rvec); |
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65 avec += nr; |
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66 } |
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67 |
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68 return r; |
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69 } |
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70 else |
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71 { |
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72 Array<T> r (a.dims ()); |
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73 T *rvec = r.fortran_vec (); |
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74 for (octave_idx_type j = 0; j < nc; j++) |
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75 { |
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77 std::fill (rvec, rvec + ii, T ()); |
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78 std::copy (avec + ii, avec + nr, rvec + ii); |
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79 avec += nr; |
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80 rvec += nr; |
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81 } |
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82 |
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83 return r; |
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84 } |
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85 } |
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86 |
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87 template <typename T> |
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88 static Array<T> |
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89 do_triu (const Array<T>& a, octave_idx_type k, bool pack) |
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90 { |
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91 octave_idx_type nr = a.rows (); |
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92 octave_idx_type nc = a.columns (); |
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93 const T *avec = a.data (); |
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95 |
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96 if (pack) |
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97 { |
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98 octave_idx_type j1 = std::min (std::max (zero, k), nc); |
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100 octave_idx_type n |
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101 = ((j2 - j1) * ((j1+1-k) + (j2-k))) / 2 + (nc - j2) * nr; |
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102 Array<T> r (dim_vector (n, 1)); |
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103 T *rvec = r.fortran_vec (); |
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104 for (octave_idx_type j = 0; j < nc; j++) |
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105 { |
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107 rvec = std::copy (avec, avec + ii, rvec); |
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108 avec += nr; |
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109 } |
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110 |
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111 return r; |
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112 } |
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113 else |
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114 { |
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115 Array<T> r (a.dims ()); |
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116 T *rvec = r.fortran_vec (); |
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117 for (octave_idx_type j = 0; j < nc; j++) |
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118 { |
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120 std::copy (avec, avec + ii, rvec); |
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121 std::fill (rvec + ii, rvec + nr, T ()); |
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122 avec += nr; |
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123 rvec += nr; |
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124 } |
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125 |
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126 return r; |
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127 } |
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128 } |
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129 |
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130 // These two are by David Bateman. |
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131 // FIXME: optimizations possible. "pack" support missing. |
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132 |
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133 template <typename T> |
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134 static Sparse<T> |
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135 do_tril (const Sparse<T>& a, octave_idx_type k, bool pack) |
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136 { |
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137 if (pack) // FIXME |
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138 error (R"(tril: "pack" not implemented for sparse matrices)"); |
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139 |
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140 Sparse<T> m = a; |
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141 octave_idx_type nc = m.cols (); |
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142 |
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143 for (octave_idx_type j = 0; j < nc; j++) |
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144 for (octave_idx_type i = m.cidx (j); i < m.cidx (j+1); i++) |
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145 if (m.ridx (i) < j-k) |
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146 m.data(i) = 0.; |
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147 |
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148 m.maybe_compress (true); |
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149 |
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150 return m; |
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151 } |
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152 |
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153 template <typename T> |
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154 static Sparse<T> |
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155 do_triu (const Sparse<T>& a, octave_idx_type k, bool pack) |
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156 { |
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157 if (pack) // FIXME |
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158 error (R"(triu: "pack" not implemented for sparse matrices)"); |
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159 |
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160 Sparse<T> m = a; |
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161 octave_idx_type nc = m.cols (); |
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162 |
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163 for (octave_idx_type j = 0; j < nc; j++) |
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164 for (octave_idx_type i = m.cidx (j); i < m.cidx (j+1); i++) |
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165 if (m.ridx (i) > j-k) |
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166 m.data(i) = 0.; |
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167 |
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168 m.maybe_compress (true); |
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169 return m; |
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170 } |
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171 |
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172 // Convenience dispatchers. |
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173 template <typename T> |
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174 static Array<T> |
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175 do_trilu (const Array<T>& a, octave_idx_type k, bool lower, bool pack) |
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176 { |
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177 return lower ? do_tril (a, k, pack) : do_triu (a, k, pack); |
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178 } |
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179 |
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180 template <typename T> |
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181 static Sparse<T> |
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182 do_trilu (const Sparse<T>& a, octave_idx_type k, bool lower, bool pack) |
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183 { |
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184 return lower ? do_tril (a, k, pack) : do_triu (a, k, pack); |
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185 } |
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186 |
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187 static octave_value |
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188 do_trilu (const std::string& name, |
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189 const octave_value_list& args) |
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190 { |
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191 bool lower = (name == "tril"); |
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192 |
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193 int nargin = args.length (); |
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194 bool pack = false; |
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195 |
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196 if (nargin >= 2 && args(nargin-1).is_string ()) |
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197 { |
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198 pack = (args(nargin-1).string_value () == "pack"); |
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199 nargin--; |
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200 } |
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201 |
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202 if (nargin < 1 || nargin > 2) |
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203 print_usage (); |
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204 |
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205 octave_idx_type k = 0; |
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206 if (nargin == 2) |
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207 k = args(1).idx_type_value (true); |
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208 |
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209 octave_value arg = args(0); |
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210 |
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211 dim_vector dims = arg.dims (); |
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212 if (dims.ndims () != 2) |
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213 error ("%s: need a 2-D matrix", name.c_str ()); |
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214 else if (k < -dims(0)) |
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215 k = -dims(0); |
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216 else if (k > dims(1)) |
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217 k = dims(1); |
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218 |
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219 octave_value retval; |
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220 |
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221 switch (arg.builtin_type ()) |
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222 { |
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223 case btyp_double: |
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224 if (arg.issparse ()) |
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225 retval = do_trilu (arg.sparse_matrix_value (), k, lower, pack); |
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226 else |
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227 retval = do_trilu (arg.array_value (), k, lower, pack); |
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228 break; |
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229 |
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230 case btyp_complex: |
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231 if (arg.issparse ()) |
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232 retval = do_trilu (arg.sparse_complex_matrix_value (), k, lower, |
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233 pack); |
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234 else |
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235 retval = do_trilu (arg.complex_array_value (), k, lower, pack); |
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236 break; |
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237 |
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238 case btyp_bool: |
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239 if (arg.issparse ()) |
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240 retval = do_trilu (arg.sparse_bool_matrix_value (), k, lower, |
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241 pack); |
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242 else |
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243 retval = do_trilu (arg.bool_array_value (), k, lower, pack); |
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244 break; |
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245 |
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246 #define ARRAYCASE(TYP) \ |
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247 case btyp_ ## TYP: \ |
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248 retval = do_trilu (arg.TYP ## _array_value (), k, lower, pack); \ |
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249 break |
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250 |
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251 ARRAYCASE (float); |
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252 ARRAYCASE (float_complex); |
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253 ARRAYCASE (int8); |
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254 ARRAYCASE (int16); |
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255 ARRAYCASE (int32); |
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256 ARRAYCASE (int64); |
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257 ARRAYCASE (uint8); |
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258 ARRAYCASE (uint16); |
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259 ARRAYCASE (uint32); |
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260 ARRAYCASE (uint64); |
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261 ARRAYCASE (char); |
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262 |
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263 #undef ARRAYCASE |
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264 |
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265 default: |
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266 { |
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267 // Generic code that works on octave-values, that is slow |
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268 // but will also work on arbitrary user types |
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269 if (pack) // FIXME |
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270 error (R"(%s: "pack" not implemented for class %s)", |
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271 name.c_str (), arg.class_name ().c_str ()); |
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272 |
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273 octave_value tmp = arg; |
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274 if (arg.isempty ()) |
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275 return arg; |
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276 |
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277 octave_idx_type nr = dims(0); |
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278 octave_idx_type nc = dims(1); |
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279 |
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280 // The sole purpose of this code is to force the correct matrix size. |
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281 // This would not be necessary if the octave_value resize function |
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282 // allowed a fill_value. It also allows odd attributes in some user |
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283 // types to be handled. With a fill_value, it should be replaced with |
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284 // |
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285 // octave_value_list ov_idx; |
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286 // tmp = tmp.resize(dim_vector (0,0)).resize (dims, fill_value); |
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287 |
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288 octave_value_list ov_idx; |
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289 std::list<octave_value_list> idx_tmp; |
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290 ov_idx(1) = static_cast<double> (nc+1); |
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291 ov_idx(0) = range<double> (1, nr); |
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292 idx_tmp.push_back (ov_idx); |
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293 ov_idx(1) = static_cast<double> (nc); |
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294 tmp = tmp.resize (dim_vector (0, 0)); |
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295 tmp = tmp.subsasgn ("(", idx_tmp, arg.index_op (ov_idx)); |
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296 tmp = tmp.resize (dims); |
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297 |
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298 octave_idx_type one = 1; |
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299 |
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300 if (lower) |
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301 { |
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302 octave_idx_type st = std::min (nc, nr + k); |
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303 |
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304 for (octave_idx_type j = 1; j <= st; j++) |
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305 { |
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306 octave_idx_type nr_limit = std::max (one, j - k); |
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307 ov_idx(1) = static_cast<double> (j); |
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308 ov_idx(0) = range<double> (nr_limit, nr); |
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309 std::list<octave_value_list> idx; |
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310 idx.push_back (ov_idx); |
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311 |
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312 tmp = tmp.subsasgn ("(", idx, arg.index_op (ov_idx)); |
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313 } |
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314 } |
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315 else |
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316 { |
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317 octave_idx_type st = std::max (k + 1, one); |
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318 |
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319 for (octave_idx_type j = st; j <= nc; j++) |
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320 { |
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321 octave_idx_type nr_limit = std::min (nr, j - k); |
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322 ov_idx(1) = static_cast<double> (j); |
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323 ov_idx(0) = range<double> (1, nr_limit); |
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324 std::list<octave_value_list> idx; |
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325 idx.push_back (ov_idx); |
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326 |
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327 tmp = tmp.subsasgn ("(", idx, arg.index_op (ov_idx)); |
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328 } |
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329 } |
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330 |
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331 retval = tmp; |
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332 } |
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333 } |
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334 |
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335 return retval; |
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336 } |
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337 |
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338 DEFUN (tril, args, , |
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339 doc: /* -*- texinfo -*- |
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340 @deftypefn {} {@var{A_LO} =} tril (@var{A}) |
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341 @deftypefnx {} {@var{A_LO} =} tril (@var{A}, @var{k}) |
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342 @deftypefnx {} {@var{A_LO} =} tril (@var{A}, @var{k}, @var{pack}) |
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343 Return a new matrix formed by extracting the lower triangular part of the |
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344 matrix @var{A}, and setting all other elements to zero. |
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345 |
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346 The optional second argument specifies how many diagonals above or below the |
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347 main diagonal should also be set to zero. The default value of @var{k} is |
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348 zero which includes the main diagonal as part of the result. If the value of |
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349 @var{k} is a nonzero integer then the selection of elements starts at an offset |
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350 of @var{k} diagonals above the main diagonal for positive @var{k} or below the |
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351 main diagonal for negative @var{k}. The absolute value of @var{k} may not be |
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352 greater than the number of subdiagonals or superdiagonals. |
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353 |
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354 Example 1 : exclude main diagonal |
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355 |
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356 @example |
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357 @group |
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358 tril (ones (3), -1) |
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359 @result{} 0 0 0 |
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360 1 0 0 |
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361 1 1 0 |
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362 @end group |
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363 @end example |
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364 |
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365 @noindent |
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366 |
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367 Example 2 : include first superdiagonal |
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368 |
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369 @example |
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370 @group |
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371 tril (ones (3), 1) |
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372 @result{} 1 1 0 |
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373 1 1 1 |
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374 1 1 1 |
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375 @end group |
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376 @end example |
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377 |
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378 If the optional third argument @qcode{"pack"} is given then the extracted |
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379 elements are not inserted into a matrix, but instead stacked column-wise one |
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380 above another, and returned as a column vector. |
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381 @seealso{triu, istril, diag} |
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382 @end deftypefn */) |
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383 { |
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384 return do_trilu ("tril", args); |
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385 } |
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386 |
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387 DEFUN (triu, args, , |
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388 doc: /* -*- texinfo -*- |
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389 @deftypefn {} {@var{A_UP} =} triu (@var{A}) |
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390 @deftypefnx {} {@var{A_UP} =} triu (@var{A}, @var{k}) |
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391 @deftypefnx {} {@var{A_UP} =} triu (@var{A}, @var{k}, @var{pack}) |
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392 Return a new matrix formed by extracting the upper triangular part of the |
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393 matrix @var{A}, and setting all other elements to zero. |
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394 |
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395 The optional second argument specifies how many diagonals above or below the |
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396 main diagonal should also be set to zero. The default value of @var{k} is |
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397 zero which includes the main diagonal as part of the result. If the value of |
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398 @var{k} is a nonzero integer then the selection of elements starts at an offset |
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399 of @var{k} diagonals above the main diagonal for positive @var{k} or below the |
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400 main diagonal for negative @var{k}. The absolute value of @var{k} may not be |
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401 greater than the number of subdiagonals or superdiagonals. |
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402 |
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403 Example 1 : exclude main diagonal |
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404 |
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405 @example |
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406 @group |
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407 triu (ones (3), 1) |
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408 @result{} 0 1 1 |
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409 0 0 1 |
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410 0 0 0 |
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411 @end group |
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412 @end example |
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413 |
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414 @noindent |
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415 |
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416 Example 2 : include first subdiagonal |
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417 |
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418 @example |
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419 @group |
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420 triu (ones (3), -1) |
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421 @result{} 1 1 1 |
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422 1 1 1 |
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423 0 1 1 |
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424 @end group |
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425 @end example |
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426 |
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427 If the optional third argument @qcode{"pack"} is given then the extracted |
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428 elements are not inserted into a matrix, but instead stacked column-wise one |
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429 above another, and returned as a column vector. |
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430 @seealso{tril, istriu, diag} |
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431 @end deftypefn */) |
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432 { |
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433 return do_trilu ("triu", args); |
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434 } |
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435 |
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436 /* |
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437 %!shared a, l2, l1, l0, lm1, lm2, lm3, lm4 |
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438 %! a = [1, 2, 3; 4, 5, 6; 7, 8, 9; 10, 11, 12]; |
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439 %! |
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440 %! l2 = [1, 2, 3; 4, 5, 6; 7, 8, 9; 10, 11, 12]; |
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441 %! l1 = [1, 2, 0; 4, 5, 6; 7, 8, 9; 10, 11, 12]; |
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442 %! l0 = [1, 0, 0; 4, 5, 0; 7, 8, 9; 10, 11, 12]; |
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443 %! lm1 = [0, 0, 0; 4, 0, 0; 7, 8, 0; 10, 11, 12]; |
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444 %! lm2 = [0, 0, 0; 0, 0, 0; 7, 0, 0; 10, 11, 0]; |
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445 %! lm3 = [0, 0, 0; 0, 0, 0; 0, 0, 0; 10, 0, 0]; |
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446 %! lm4 = [0, 0, 0; 0, 0, 0; 0, 0, 0; 0, 0, 0]; |
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447 %! |
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448 %!assert (tril (a, 3), l2) |
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449 %!assert (tril (a, 2), l2) |
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450 %!assert (tril (a, 1), l1) |
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451 %!assert (tril (a, 0), l0) |
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452 %!assert (tril (a), l0) |
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453 %!assert (tril (a, -1), lm1) |
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454 %!assert (tril (a, -2), lm2) |
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455 %!assert (tril (a, -3), lm3) |
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456 %!assert (tril (a, -4), lm4) |
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457 %!assert (tril (a, -5), lm4) |
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458 |
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459 %!shared a, u3, u2, u1, u0, um1, um2, um3 |
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460 %! |
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461 %! a = [1, 2, 3; 4, 5, 6; 7, 8, 9; 10, 11, 12]; |
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462 %! |
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463 %! u3 = [0, 0, 0; 0, 0, 0; 0, 0, 0; 0, 0, 0]; |
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464 %! u2 = [0, 0, 3; 0, 0, 0; 0, 0, 0; 0, 0, 0]; |
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465 %! u1 = [0, 2, 3; 0, 0, 6; 0, 0, 0; 0, 0, 0]; |
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466 %! u0 = [1, 2, 3; 0, 5, 6; 0, 0, 9; 0, 0, 0]; |
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467 %! um1 = [1, 2, 3; 4, 5, 6; 0, 8, 9; 0, 0, 12]; |
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468 %! um2 = [1, 2, 3; 4, 5, 6; 7, 8, 9; 0, 11, 12]; |
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469 %! um3 = [1, 2, 3; 4, 5, 6; 7, 8, 9; 10, 11, 12]; |
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470 %! |
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471 %!assert (triu (a, 4), u3) |
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472 %!assert (triu (a, 3), u3) |
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473 %!assert (triu (a, 2), u2) |
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474 %!assert (triu (a, 1), u1) |
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475 %!assert (triu (a, 0), u0) |
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476 %!assert (triu (a), u0) |
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477 %!assert (triu (a, -1), um1) |
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478 %!assert (triu (a, -2), um2) |
11f1207111c5
maint: Don't use semicolon at end of single-line BIST tests.
Rik <rik@octave.org>
parents:
28888
diff
changeset
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479 %!assert (triu (a, -3), um3) |
11f1207111c5
maint: Don't use semicolon at end of single-line BIST tests.
Rik <rik@octave.org>
parents:
28888
diff
changeset
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480 %!assert (triu (a, -4), um3) |
9756
b134960cea23
implement built-in tril/triu
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
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481 |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14138
diff
changeset
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482 %!error tril () |
28888
06c8e0877864
maint: Backed out changeset 09c071328135.
Rik <rik@octave.org>
parents:
28887
diff
changeset
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483 %!error triu () |
9756
b134960cea23
implement built-in tril/triu
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
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484 */ |
29958
32c3a5805893
move DEFUN and DEFMETHOD functions inside octave namespace
John W. Eaton <jwe@octave.org>
parents:
29931
diff
changeset
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485 |
31605
e88a07dec498
maint: Use macros to begin/end C++ namespaces.
Rik <rik@octave.org>
parents:
30564
diff
changeset
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486 OCTAVE_END_NAMESPACE(octave) |