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6869
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1 /* |
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2 |
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3 Copyright (C) 2007 David Bateman |
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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 2, or (at your option) any |
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10 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, write to the Free |
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19 Software Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA |
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20 02110-1301, USA. |
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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 <string> |
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29 #include <vector> |
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30 #include <list> |
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31 |
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32 #include "lo-mappers.h" |
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33 |
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34 #include "oct-map.h" |
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35 #include "defun-dld.h" |
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36 #include "parse.h" |
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37 #include "variables.h" |
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38 #include "ov-colon.h" |
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39 #include "unwind-prot.h" |
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40 |
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41 static bool |
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42 maybe_update_column (octave_value& Ac, const octave_value& A, |
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43 const dim_vector& dva, const dim_vector& dvc, |
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44 octave_idx_type i, octave_value_list &idx) |
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45 { |
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46 octave_idx_type nd = dva.length (); |
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47 |
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48 if (i == 0) |
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49 { |
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50 idx(0) = octave_value (':'); |
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51 for (octave_idx_type j = 1; j < nd; j++) |
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52 { |
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53 if (dva (j) == 1) |
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54 idx (j) = octave_value (1); |
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55 else |
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56 idx (j) = octave_value ((i % dvc(j)) + 1); |
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57 |
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58 i = i / dvc (j); |
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59 } |
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60 |
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61 Ac = A; |
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62 Ac = Ac.single_subsref ("(", idx); |
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63 return true; |
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64 } |
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65 else |
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66 { |
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67 bool is_changed = false; |
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68 octave_idx_type k = i; |
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69 octave_idx_type k1 = i - 1; |
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70 for (octave_idx_type j = 1; j < nd; j++) |
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71 { |
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72 if (dva(j) != 1 && k % dvc (j) != k1 % dvc (j)) |
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73 { |
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74 idx (j) = octave_value ((k % dvc(j)) + 1); |
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75 is_changed = true; |
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76 } |
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77 |
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78 k = k / dvc (j); |
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79 k1 = k1 / dvc (j); |
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80 } |
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81 |
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82 if (is_changed) |
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83 { |
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84 Ac = A; |
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85 Ac = Ac.single_subsref ("(", idx); |
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86 return true; |
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87 } |
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88 else |
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89 return false; |
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90 } |
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91 } |
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92 |
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93 static void |
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94 update_index (octave_value_list& idx, const dim_vector& dv, octave_idx_type i) |
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95 { |
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96 octave_idx_type nd = dv.length (); |
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97 |
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98 if (i == 0) |
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99 { |
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100 for (octave_idx_type j = nd - 1; j > 0; j--) |
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101 idx(j) = octave_value (static_cast<double>(1)); |
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102 idx(0) = octave_value (':'); |
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103 } |
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104 else |
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105 { |
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106 for (octave_idx_type j = 1; j < nd; j++) |
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107 { |
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108 idx (j) = octave_value (i % dv (j) + 1); |
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109 i = i / dv (j); |
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110 } |
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111 } |
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112 } |
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113 |
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114 static void |
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115 update_index (Array<int>& idx, const dim_vector& dv, octave_idx_type i) |
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116 { |
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117 octave_idx_type nd = dv.length (); |
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118 |
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119 idx(0) = 0; |
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120 for (octave_idx_type j = 1; j < nd; j++) |
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121 { |
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122 idx (j) = i % dv (j); |
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123 i = i / dv (j); |
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124 } |
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125 } |
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126 |
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127 DEFUN_DLD (bsxfun, args, nargout, |
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128 " -*- texinfo -*-\n\ |
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129 @deftypefn {Lodable Function} {} bsxfun (@var{f}, @var{a}, @var{b})\n\ |
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130 Applies a binary function @var{f} element-wise to two matrix arguments\n\ |
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131 @var{a} and @var{b}. The function @var{f} must be capable of accepting\n\ |
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132 two column vector arguments of equal length, or one column vector\n\ |
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133 argument and a scalar.\n\ |
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134 \n\ |
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135 The dimensions of @var{a} and @var{b} must be equal or singleton. The\n\ |
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136 singleton dimensions a the matirces will be expanded to the same\n\ |
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137 dimensioanlity as the other matrix.\n\ |
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138 \n\ |
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139 @seealso{arrayfun, cellfun}\n\ |
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140 @end deftypefn") |
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141 { |
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142 int nargin = args.length (); |
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143 octave_value_list retval; |
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144 |
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145 if (nargin != 3) |
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146 print_usage (); |
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147 else |
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148 { |
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149 octave_function *func = 0; |
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150 std::string name; |
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151 std::string fcn_name; |
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152 |
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153 if (args(0).is_function_handle () || args(0).is_inline_function ()) |
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154 func = args(0).function_value (); |
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155 else if (args(0).is_string ()) |
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156 { |
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157 name = args(0).string_value (); |
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158 fcn_name = unique_symbol_name ("__bsxfun_fcn_"); |
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159 std::string fname = "function y = "; |
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160 fname.append (fcn_name); |
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161 fname.append ("(x) y = "); |
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162 func = extract_function (args(0), "bsxfun", fcn_name, fname, |
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163 "; endfunction"); |
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164 } |
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165 else |
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166 error ("bsxfun: first argument must be a string or function handle"); |
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167 |
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168 if (! error_state) |
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169 { |
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170 const octave_value A = args (1); |
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171 dim_vector dva = A.dims (); |
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172 octave_idx_type nda = dva.length (); |
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173 const octave_value B = args (2); |
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174 dim_vector dvb = B.dims (); |
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175 octave_idx_type ndb = dvb.length (); |
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176 octave_idx_type nd = nda; |
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177 |
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178 if (nda > ndb) |
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179 dvb.resize (nda, 1); |
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180 else if (nda < ndb) |
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181 { |
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182 dva.resize (ndb, 1); |
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183 nd = ndb; |
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184 } |
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185 |
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186 for (octave_idx_type i = 0; i < nd; i++) |
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187 if (dva (i) != dvb (i) && dva (i) != 1 && dvb (i) != 1) |
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188 { |
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189 error ("bsxfun: dimensions don't match"); |
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190 break; |
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191 } |
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192 |
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193 if (!error_state) |
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194 { |
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195 // Find the size of the output |
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196 dim_vector dvc; |
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197 dvc.resize (nd); |
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198 |
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199 for (octave_idx_type i = 0; i < nd; i++) |
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200 dvc (i) = (dva (i) < 1 ? dva (i) : (dvb (i) < 1 ? dvb (i) : |
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201 (dva (i) > dvb (i) ? dva (i) : dvb (i)))); |
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202 |
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203 if (dva == dvb || dva.numel () == 1 || dvb.numel () == 1) |
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204 { |
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205 octave_value_list inputs; |
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206 inputs (0) = A; |
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207 inputs (1) = B; |
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208 retval = feval (func, inputs, 1); |
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209 } |
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210 else if (dvc.numel () < 1) |
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211 { |
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212 octave_value_list inputs; |
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213 inputs (0) = A.resize (dvc); |
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214 inputs (1) = B.resize (dvc); |
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215 retval = feval (func, inputs, 1); |
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216 } |
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217 else |
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218 { |
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219 octave_idx_type ncount = 1; |
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220 for (octave_idx_type i = 1; i < nd; i++) |
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221 ncount *= dvc (i); |
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222 |
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223 #define BSXDEF(T) \ |
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224 T result_ ## T; \ |
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225 bool have_ ## T = false; |
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226 |
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227 BSXDEF(NDArray); |
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228 BSXDEF(ComplexNDArray); |
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229 BSXDEF(boolNDArray); |
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230 BSXDEF(int8NDArray); |
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231 BSXDEF(int16NDArray); |
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232 BSXDEF(int32NDArray); |
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233 BSXDEF(int64NDArray); |
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234 BSXDEF(uint8NDArray); |
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235 BSXDEF(uint16NDArray); |
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236 BSXDEF(uint32NDArray); |
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237 BSXDEF(uint64NDArray); |
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238 |
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239 octave_value Ac ; |
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240 octave_value_list idxA; |
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241 octave_value Bc; |
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242 octave_value_list idxB; |
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243 octave_value C; |
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244 octave_value_list inputs; |
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245 Array<int> ra_idx (dvc.length(), 0); |
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246 |
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247 |
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248 for (octave_idx_type i = 0; i < ncount; i++) |
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249 { |
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250 if (maybe_update_column (Ac, A, dva, dvc, i, idxA)) |
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251 inputs (0) = Ac; |
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252 |
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253 if (maybe_update_column (Bc, B, dvb, dvc, i, idxB)) |
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254 inputs (1) = Bc; |
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255 |
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256 octave_value_list tmp = feval (func, inputs, 1); |
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257 |
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258 if (error_state) |
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259 break; |
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260 |
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261 #define BSXINIT(T, CLS, EXTRACTOR) \ |
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262 (result_type == CLS) \ |
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263 { \ |
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264 have_ ## T = true; \ |
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265 result_ ## T = \ |
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266 tmp (0). EXTRACTOR ## _array_value (); \ |
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267 result_ ## T .resize (dvc); \ |
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268 } |
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269 |
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270 if (i == 0) |
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271 { |
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272 if (! tmp(0).is_sparse_type ()) |
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273 { |
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274 std::string result_type = tmp(0).class_name (); |
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275 if (result_type == "double") |
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276 { |
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277 if (tmp(0).is_real_type ()) |
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278 { |
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279 have_NDArray = true; |
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280 result_NDArray = tmp(0).array_value (); |
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281 result_NDArray.resize (dvc); |
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282 } |
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283 else |
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284 { |
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285 have_ComplexNDArray = true; |
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286 result_ComplexNDArray = |
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287 tmp(0).complex_array_value (); |
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288 result_ComplexNDArray.resize (dvc); |
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289 } |
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290 } |
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291 else if BSXINIT(boolNDArray, "logical", bool) |
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292 else if BSXINIT(int8NDArray, "int8", int8) |
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293 else if BSXINIT(int16NDArray, "int16", int16) |
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294 else if BSXINIT(int32NDArray, "int32", int32) |
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295 else if BSXINIT(int64NDArray, "int64", int64) |
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296 else if BSXINIT(uint8NDArray, "uint8", uint8) |
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297 else if BSXINIT(uint16NDArray, "uint16", uint16) |
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298 else if BSXINIT(uint32NDArray, "uint32", uint32) |
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299 else if BSXINIT(uint64NDArray, "uint64", uint64) |
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300 else |
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301 { |
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302 C = tmp (0); |
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303 C = C.resize (dvc); |
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304 } |
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305 } |
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306 } |
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307 else |
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308 { |
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309 update_index (ra_idx, dvc, i); |
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310 |
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311 if (have_NDArray) |
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312 { |
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313 if (tmp(0).class_name () != "double") |
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314 { |
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315 have_NDArray = false; |
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316 C = result_NDArray; |
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317 C = do_cat_op (C, tmp(0), ra_idx); |
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318 } |
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319 else if (tmp(0).is_real_type ()) |
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320 result_NDArray.insert (tmp(0).array_value(), |
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321 ra_idx); |
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322 else |
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323 { |
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324 result_ComplexNDArray = |
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325 ComplexNDArray (result_NDArray); |
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326 result_ComplexNDArray.insert |
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327 (tmp(0).complex_array_value(), ra_idx); |
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328 have_NDArray = false; |
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329 have_ComplexNDArray = true; |
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330 } |
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331 } |
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332 |
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333 #define BSXLOOP(T, CLS, EXTRACTOR) \ |
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334 (have_ ## T) \ |
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335 { \ |
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336 if (tmp (0).class_name () != CLS) \ |
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337 { \ |
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338 have_ ## T = false; \ |
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339 C = result_ ## T; \ |
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340 C = do_cat_op (C, tmp (0), ra_idx); \ |
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341 } \ |
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342 else \ |
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343 result_ ## T .insert \ |
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344 (tmp(0). EXTRACTOR ## _array_value (), \ |
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345 ra_idx); \ |
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346 } |
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347 |
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348 else if BSXLOOP(ComplexNDArray, "double", complex) |
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349 else if BSXLOOP(boolNDArray, "logical", bool) |
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350 else if BSXLOOP(int8NDArray, "int8", int8) |
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351 else if BSXLOOP(int16NDArray, "int16", int16) |
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352 else if BSXLOOP(int32NDArray, "int32", int32) |
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353 else if BSXLOOP(int64NDArray, "int64", int64) |
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354 else if BSXLOOP(uint8NDArray, "uint8", uint8) |
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355 else if BSXLOOP(uint16NDArray, "uint16", uint16) |
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356 else if BSXLOOP(uint32NDArray, "uint32", uint32) |
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357 else if BSXLOOP(uint64NDArray, "uint64", uint64) |
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358 else |
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359 C = do_cat_op (C, tmp(0), ra_idx); |
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360 } |
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361 } |
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362 |
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363 #define BSXEND(T) \ |
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364 (have_ ## T) \ |
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365 retval (0) = result_ ## T; |
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366 |
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367 if BSXEND(NDArray) |
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368 else if BSXEND(ComplexNDArray) |
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369 else if BSXEND(boolNDArray) |
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370 else if BSXEND(int8NDArray) |
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371 else if BSXEND(int16NDArray) |
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372 else if BSXEND(int32NDArray) |
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373 else if BSXEND(int64NDArray) |
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374 else if BSXEND(uint8NDArray) |
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375 else if BSXEND(uint16NDArray) |
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376 else if BSXEND(uint32NDArray) |
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377 else if BSXEND(uint64NDArray) |
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378 else |
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379 retval(0) = C; |
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380 } |
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381 } |
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382 } |
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383 |
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384 if (! fcn_name.empty ()) |
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385 clear_function (fcn_name); |
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386 } |
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387 |
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388 return retval; |
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389 } |
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390 |
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391 /* |
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392 |
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393 %!shared a, b, c, f |
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394 %! a = randn (4, 4); |
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395 %! b = mean (a, 1); |
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396 %! c = mean (a, 2); |
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397 %! f = @minus; |
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398 %!error(bsxfun (f)); |
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399 %!error(bsxfun (f, a)); |
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400 %!error(bsxfun (a, b)); |
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401 %!error(bsxfun (a, b, c)); |
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402 %!error(bsxfun (f, a, b, c)); |
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403 %!error(bsxfun (f, ones(4, 0), ones(4, 4))) |
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404 %!assert(bsxfun (f, ones(4, 0), ones(4, 1)), zeros(4, 0)); |
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405 %!assert(bsxfun (f, ones(1, 4), ones(4, 1)), zeros(4, 4)); |
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406 %!assert(bsxfun (f, a, b), a - repmat(b, 4, 1)); |
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407 %!assert(bsxfun (f, a, c), a - repmat(c, 1, 4)); |
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408 %!assert(bsxfun ("minus", ones(1, 4), ones(4, 1)), zeros(4, 4)); |
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409 |
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410 %!shared a, b, c, f |
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411 %! a = randn (4, 4); |
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412 %! a(1) *= 1i; |
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413 %! b = mean (a, 1); |
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414 %! c = mean (a, 2); |
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415 %! f = @minus; |
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416 %!error(bsxfun (f)); |
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417 %!error(bsxfun (f, a)); |
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418 %!error(bsxfun (a, b)); |
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419 %!error(bsxfun (a, b, c)); |
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420 %!error(bsxfun (f, a, b, c)); |
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421 %!error(bsxfun (f, ones(4, 0), ones(4, 4))) |
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422 %!assert(bsxfun (f, ones(4, 0), ones(4, 1)), zeros(4, 0)); |
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423 %!assert(bsxfun (f, ones(1, 4), ones(4, 1)), zeros(4, 4)); |
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424 %!assert(bsxfun (f, a, b), a - repmat(b, 4, 1)); |
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425 %!assert(bsxfun (f, a, c), a - repmat(c, 1, 4)); |
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426 %!assert(bsxfun ("minus", ones(1, 4), ones(4, 1)), zeros(4, 4)); |
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427 |
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428 %!shared a, b, c, f |
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429 %! a = randn (4, 4); |
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430 %! a(end) *= 1i; |
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431 %! b = mean (a, 1); |
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432 %! c = mean (a, 2); |
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433 %! f = @minus; |
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434 %!error(bsxfun (f)); |
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435 %!error(bsxfun (f, a)); |
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436 %!error(bsxfun (a, b)); |
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437 %!error(bsxfun (a, b, c)); |
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438 %!error(bsxfun (f, a, b, c)); |
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439 %!error(bsxfun (f, ones(4, 0), ones(4, 4))) |
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440 %!assert(bsxfun (f, ones(4, 0), ones(4, 1)), zeros(4, 0)); |
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441 %!assert(bsxfun (f, ones(1, 4), ones(4, 1)), zeros(4, 4)); |
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442 %!assert(bsxfun (f, a, b), a - repmat(b, 4, 1)); |
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443 %!assert(bsxfun (f, a, c), a - repmat(c, 1, 4)); |
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444 %!assert(bsxfun ("minus", ones(1, 4), ones(4, 1)), zeros(4, 4)); |
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445 |
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446 %!shared a, b, c, f |
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447 %! a = randn (4, 4); |
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448 %! b = a (1, :); |
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449 %! c = a (:, 1); |
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450 %! f = @(x, y) x == y; |
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451 %!error(bsxfun (f)); |
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452 %!error(bsxfun (f, a)); |
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453 %!error(bsxfun (a, b)); |
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454 %!error(bsxfun (a, b, c)); |
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455 %!error(bsxfun (f, a, b, c)); |
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456 %!error(bsxfun (f, ones(4, 0), ones(4, 4))) |
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457 %!assert(bsxfun (f, ones(4, 0), ones(4, 1)), zeros(4, 0, "logical")); |
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458 %!assert(bsxfun (f, ones(1, 4), ones(4, 1)), ones(4, 4, "logical")); |
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459 %!assert(bsxfun (f, a, b), a == repmat(b, 4, 1)); |
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460 %!assert(bsxfun (f, a, c), a == repmat(c, 1, 4)); |
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461 |
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462 %!shared a, b, c, d, f |
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463 %! a = randn (4, 4, 4); |
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464 %! b = mean (a, 1); |
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465 %! c = mean (a, 2); |
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466 %! d = mean (a, 3); |
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467 %! f = @minus; |
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468 %!error(bsxfun (f, ones([4, 0, 4]), ones([4, 4, 4]))); |
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469 %!assert(bsxfun (f, ones([4, 0, 4]), ones([4, 1, 4])), zeros([4, 0, 4])); |
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470 %!assert(bsxfun (f, ones([4, 4, 0]), ones([4, 1, 1])), zeros([4, 4, 0])); |
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471 %!assert(bsxfun (f, ones([1, 4, 4]), ones([4, 1, 4])), zeros([4, 4, 4])); |
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472 %!assert(bsxfun (f, ones([4, 4, 1]), ones([4, 1, 4])), zeros([4, 4, 4])); |
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473 %!assert(bsxfun (f, ones([4, 1, 4]), ones([1, 4, 4])), zeros([4, 4, 4])); |
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474 %!assert(bsxfun (f, ones([4, 1, 4]), ones([1, 4, 1])), zeros([4, 4, 4])); |
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475 %!assert(bsxfun (f, a, b), a - repmat(b, [4, 1, 1])); |
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476 %!assert(bsxfun (f, a, c), a - repmat(c, [1, 4, 1])); |
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477 %!assert(bsxfun (f, a, d), a - repmat(d, [1, 1, 4])); |
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478 %!assert(bsxfun ("minus", ones([4, 0, 4]), ones([4, 1, 4])), zeros([4, 0, 4])); |
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479 |
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480 %% The below is a very hard case to treat |
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481 %!assert(bsxfun (f, ones([4, 1, 4, 1]), ones([1, 4, 1, 4])), zeros([4, 4, 4, 4])); |
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482 |
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483 */ |
