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2928
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1 /* |
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2 |
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3 Copyright (C) 1996, 1997 John W. Eaton |
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4 |
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5 This file is part of Octave. |
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6 |
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7 Octave is free software; you can redistribute it and/or modify it |
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8 under the terms of the GNU General Public License as published by 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, 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. |
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20 |
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21 */ |
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22 |
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23 #ifdef HAVE_CONFIG_H |
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24 #include <config.h> |
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25 #endif |
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26 |
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27 #include "lo-ieee.h" |
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28 #include "oct-math.h" |
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29 |
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30 #include "defun-dld.h" |
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31 #include "error.h" |
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32 #include "gripes.h" |
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33 #include "help.h" |
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34 #include "oct-obj.h" |
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35 |
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36 #ifndef MAX |
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37 #define MAX(a,b) ((a) > (b) ? (a) : (b)) |
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38 #endif |
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39 |
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40 #ifndef MIN |
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41 #define MIN(a,b) ((a) < (b) ? (a) : (b)) |
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42 #endif |
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43 |
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44 // XXX FIXME XXX -- it would be nice to share code among the min/max |
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45 // functions below. |
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46 |
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47 static Matrix |
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48 min (double d, const Matrix& m) |
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49 { |
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50 int nr = m.rows (); |
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51 int nc = m.columns (); |
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52 |
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53 Matrix result (nr, nc); |
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54 |
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55 for (int j = 0; j < nc; j++) |
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56 for (int i = 0; i < nr; i++) |
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57 { |
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58 double m_elem = m (i, j); |
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59 result (i, j) = MIN (d, m_elem); |
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60 } |
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61 |
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62 return result; |
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63 } |
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64 |
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65 static Matrix |
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66 min (const Matrix& m, double d) |
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67 { |
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68 int nr = m.rows (); |
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69 int nc = m.columns (); |
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70 |
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71 Matrix result (nr, nc); |
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72 |
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73 for (int j = 0; j < nc; j++) |
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74 for (int i = 0; i < nr; i++) |
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75 { |
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76 double m_elem = m (i, j); |
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77 result (i, j) = MIN (m_elem, d); |
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78 } |
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79 |
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80 return result; |
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81 } |
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82 |
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83 static ComplexMatrix |
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84 min (const Complex& c, const ComplexMatrix& m) |
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85 { |
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86 int nr = m.rows (); |
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87 int nc = m.columns (); |
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88 |
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89 ComplexMatrix result (nr, nc); |
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90 |
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91 double abs_c = abs (c); |
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92 |
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93 for (int j = 0; j < nc; j++) |
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94 { |
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95 for (int i = 0; i < nr; i++) |
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96 { |
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97 double abs_m_elem = abs (m (i, j)); |
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98 if (abs_c < abs_m_elem) |
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99 result (i, j) = c; |
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100 else |
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101 result (i, j) = m (i, j); |
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102 } |
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103 } |
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104 |
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105 return result; |
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106 } |
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107 |
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108 static ComplexMatrix |
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109 min (const ComplexMatrix& m, const Complex& c) |
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110 { |
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111 int nr = m.rows (); |
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112 int nc = m.columns (); |
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113 |
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114 ComplexMatrix result (nr, nc); |
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115 |
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116 double abs_c = abs (c); |
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117 |
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118 for (int j = 0; j < nc; j++) |
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119 for (int i = 0; i < nr; i++) |
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120 { |
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121 double abs_m_elem = abs (m (i, j)); |
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122 if (abs_m_elem < abs_c) |
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123 result (i, j) = m (i, j); |
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124 else |
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125 result (i, j) = c; |
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126 } |
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127 |
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128 return result; |
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129 } |
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130 |
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131 static Matrix |
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132 min (const Matrix& a, const Matrix& b) |
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133 { |
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134 int nr = a.rows (); |
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135 int nc = a.columns (); |
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136 if (nr != b.rows () || nc != b.columns ()) |
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137 { |
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138 error ("two-arg min expecting args of same size"); |
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139 return Matrix (); |
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140 } |
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141 |
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142 Matrix result (nr, nc); |
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143 |
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144 for (int j = 0; j < nc; j++) |
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145 for (int i = 0; i < nr; i++) |
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146 { |
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147 double a_elem = a (i, j); |
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148 double b_elem = b (i, j); |
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149 result (i, j) = MIN (a_elem, b_elem); |
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150 } |
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151 |
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152 return result; |
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153 } |
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154 |
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155 static ComplexMatrix |
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156 min (const ComplexMatrix& a, const ComplexMatrix& b) |
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157 { |
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158 int nr = a.rows (); |
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159 int nc = a.columns (); |
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160 if (nr != b.rows () || nc != b.columns ()) |
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161 { |
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162 error ("two-arg min expecting args of same size"); |
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163 return ComplexMatrix (); |
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164 } |
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165 |
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166 ComplexMatrix result (nr, nc); |
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167 |
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168 for (int j = 0; j < nc; j++) |
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169 { |
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170 int columns_are_real_only = 1; |
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171 for (int i = 0; i < nr; i++) |
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172 if (imag (a (i, j)) != 0.0 && imag (b (i, j)) != 0.0) |
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173 { |
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174 columns_are_real_only = 0; |
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175 break; |
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176 } |
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177 |
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178 if (columns_are_real_only) |
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179 { |
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180 for (int i = 0; i < nr; i++) |
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181 { |
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182 double a_elem = real (a (i, j)); |
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183 double b_elem = real (b (i, j)); |
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184 if (a_elem < b_elem) |
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185 result (i, j) = a_elem; |
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186 else |
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187 result (i, j) = b_elem; |
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188 } |
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189 } |
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190 else |
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191 { |
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192 for (int i = 0; i < nr; i++) |
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193 { |
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194 double abs_a_elem = abs (a (i, j)); |
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195 double abs_b_elem = abs (b (i, j)); |
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196 if (abs_a_elem < abs_b_elem) |
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197 result (i, j) = a (i, j); |
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198 else |
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199 result (i, j) = b (i, j); |
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200 } |
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201 } |
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202 } |
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203 |
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204 return result; |
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205 } |
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206 |
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207 static Matrix |
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208 max (double d, const Matrix& m) |
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209 { |
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210 int nr = m.rows (); |
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211 int nc = m.columns (); |
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212 |
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213 Matrix result (nr, nc); |
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214 |
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215 for (int j = 0; j < nc; j++) |
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216 for (int i = 0; i < nr; i++) |
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217 { |
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218 double m_elem = m (i, j); |
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219 result (i, j) = MAX (d, m_elem); |
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220 } |
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221 |
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222 return result; |
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223 } |
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224 |
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225 static Matrix |
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226 max (const Matrix& m, double d) |
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227 { |
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228 int nr = m.rows (); |
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229 int nc = m.columns (); |
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230 |
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231 Matrix result (nr, nc); |
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232 |
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233 for (int j = 0; j < nc; j++) |
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234 for (int i = 0; i < nr; i++) |
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235 { |
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236 double m_elem = m (i, j); |
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237 result (i, j) = MAX (m_elem, d); |
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238 } |
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239 |
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240 return result; |
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241 } |
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242 |
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243 static ComplexMatrix |
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244 max (const Complex& c, const ComplexMatrix& m) |
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245 { |
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246 int nr = m.rows (); |
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247 int nc = m.columns (); |
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248 |
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249 ComplexMatrix result (nr, nc); |
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250 |
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251 double abs_c = abs (c); |
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252 |
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253 for (int j = 0; j < nc; j++) |
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254 for (int i = 0; i < nr; i++) |
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255 { |
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256 double abs_m_elem = abs (m (i, j)); |
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257 if (abs_c > abs_m_elem) |
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258 result (i, j) = c; |
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259 else |
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260 result (i, j) = m (i, j); |
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261 } |
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262 |
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263 return result; |
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264 } |
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265 |
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266 static ComplexMatrix |
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267 max (const ComplexMatrix& m, const Complex& c) |
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268 { |
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269 int nr = m.rows (); |
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270 int nc = m.columns (); |
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271 |
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272 ComplexMatrix result (nr, nc); |
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273 |
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274 double abs_c = abs (c); |
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275 |
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276 for (int j = 0; j < nc; j++) |
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277 for (int i = 0; i < nr; i++) |
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278 { |
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279 double abs_m_elem = abs (m (i, j)); |
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280 if (abs_m_elem > abs_c) |
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281 result (i, j) = m (i, j); |
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282 else |
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283 result (i, j) = c; |
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284 } |
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285 |
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286 return result; |
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287 } |
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288 |
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289 static Matrix |
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290 max (const Matrix& a, const Matrix& b) |
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291 { |
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292 int nr = a.rows (); |
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293 int nc = a.columns (); |
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294 if (nr != b.rows () || nc != b.columns ()) |
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295 { |
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296 error ("two-arg max expecting args of same size"); |
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297 return Matrix (); |
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298 } |
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299 |
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300 Matrix result (nr, nc); |
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301 |
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302 for (int j = 0; j < nc; j++) |
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303 for (int i = 0; i < nr; i++) |
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304 { |
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305 double a_elem = a (i, j); |
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306 double b_elem = b (i, j); |
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307 result (i, j) = MAX (a_elem, b_elem); |
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308 } |
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309 |
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310 return result; |
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311 } |
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312 |
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313 static ComplexMatrix |
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314 max (const ComplexMatrix& a, const ComplexMatrix& b) |
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315 { |
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316 int nr = a.rows (); |
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317 int nc = a.columns (); |
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318 if (nr != b.rows () || nc != b.columns ()) |
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319 { |
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320 error ("two-arg max expecting args of same size"); |
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321 return ComplexMatrix (); |
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322 } |
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323 |
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324 ComplexMatrix result (nr, nc); |
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325 |
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326 for (int j = 0; j < nc; j++) |
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327 { |
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328 int columns_are_real_only = 1; |
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329 for (int i = 0; i < nr; i++) |
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330 if (imag (a (i, j)) != 0.0 && imag (b (i, j)) != 0.0) |
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331 { |
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332 columns_are_real_only = 0; |
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333 break; |
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334 } |
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335 |
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336 if (columns_are_real_only) |
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337 { |
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338 for (int i = 0; i < nr; i++) |
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339 { |
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340 double a_elem = real (a (i, j)); |
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341 double b_elem = real (b (i, j)); |
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342 if (a_elem > b_elem) |
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343 result (i, j) = a_elem; |
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344 else |
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345 result (i, j) = b_elem; |
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346 } |
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347 } |
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348 else |
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349 { |
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350 for (int i = 0; i < nr; i++) |
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351 { |
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352 double abs_a_elem = abs (a (i, j)); |
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353 double abs_b_elem = abs (b (i, j)); |
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354 if (abs_a_elem > abs_b_elem) |
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355 result (i, j) = a (i, j); |
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356 else |
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357 result (i, j) = b (i, j); |
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358 } |
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359 } |
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360 } |
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361 |
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362 return result; |
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363 } |
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364 |
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365 DEFUN_DLD (min, args, nargout, |
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366 "min (X): minimum value(s) of a vector (matrix)") |
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367 { |
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368 octave_value_list retval; |
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369 |
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370 int nargin = args.length (); |
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371 |
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372 if (nargin < 1 || nargin > 2 || nargout > 2) |
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373 { |
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374 print_usage ("min"); |
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375 return retval; |
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376 } |
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377 |
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378 octave_value arg1; |
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379 octave_value arg2; |
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380 |
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381 switch (nargin) |
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382 { |
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383 case 2: |
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384 arg2 = args(1); |
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385 // Fall through... |
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386 |
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387 case 1: |
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388 arg1 = args(0); |
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389 break; |
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390 |
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391 default: |
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392 panic_impossible (); |
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393 break; |
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394 } |
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395 |
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396 if (nargin == 1 && (nargout == 1 || nargout == 0)) |
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397 { |
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398 if (arg1.is_real_type ()) |
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399 { |
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400 Matrix m = arg1.matrix_value (); |
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401 |
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402 if (! error_state) |
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403 { |
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404 if (m.rows () == 1) |
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405 retval(0) = m.row_min (); |
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406 else |
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407 retval(0) = octave_value (m.column_min (), 0); |
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408 } |
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409 } |
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410 else if (arg1.is_complex_type ()) |
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411 { |
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412 ComplexMatrix m = arg1.complex_matrix_value (); |
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413 |
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414 if (! error_state) |
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415 { |
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416 if (m.rows () == 1) |
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417 retval(0) = m.row_min (); |
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418 else |
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419 retval(0) = octave_value (m.column_min (), 0); |
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420 } |
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421 } |
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422 else |
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423 gripe_wrong_type_arg ("min", arg1); |
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424 } |
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425 else if (nargin == 1 && nargout == 2) |
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426 { |
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427 Array<int> index; |
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428 |
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429 if (arg1.is_real_type ()) |
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430 { |
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431 Matrix m = arg1.matrix_value (); |
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432 |
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433 if (! error_state) |
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434 { |
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435 retval.resize (2); |
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436 |
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437 if (m.rows () == 1) |
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438 retval(0) = m.row_min (index); |
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439 else |
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440 retval(0) = octave_value (m.column_min (index), 0); |
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441 } |
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442 } |
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443 else if (arg1.is_complex_type ()) |
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444 { |
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445 ComplexMatrix m = arg1.complex_matrix_value (); |
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446 |
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447 if (! error_state) |
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448 { |
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449 retval.resize (2); |
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450 |
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451 if (m.rows () == 1) |
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452 retval(0) = m.row_min (index); |
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453 else |
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454 retval(0) = octave_value (m.column_min (index), 0); |
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455 } |
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456 } |
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457 else |
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458 gripe_wrong_type_arg ("min", arg1); |
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459 |
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460 int len = index.length (); |
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461 |
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462 if (len > 0) |
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463 { |
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464 RowVector idx (len); |
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465 |
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466 for (int i = 0; i < len; i++) |
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467 { |
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468 int tmp = index.elem (i) + 1; |
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469 idx.elem (i) = (tmp <= 0) |
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470 ? octave_NaN : static_cast<double> (tmp); |
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471 } |
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472 |
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473 retval(1) = octave_value (idx, 0); |
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474 } |
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475 } |
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476 else if (nargin == 2) |
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477 { |
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478 int arg1_is_scalar = arg1.is_scalar_type (); |
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479 int arg2_is_scalar = arg2.is_scalar_type (); |
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480 |
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481 int arg1_is_complex = arg1.is_complex_type (); |
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482 int arg2_is_complex = arg2.is_complex_type (); |
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483 |
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484 if (arg1_is_scalar) |
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485 { |
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486 if (arg1_is_complex || arg2_is_complex) |
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487 { |
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488 Complex c1 = arg1.complex_value (); |
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489 ComplexMatrix m2 = arg2.complex_matrix_value (); |
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490 if (! error_state) |
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491 { |
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492 ComplexMatrix result = min (c1, m2); |
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493 if (! error_state) |
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494 retval(0) = result; |
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495 } |
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496 } |
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497 else |
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498 { |
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499 double d1 = arg1.double_value (); |
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500 Matrix m2 = arg2.matrix_value (); |
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501 |
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502 if (! error_state) |
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503 { |
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504 Matrix result = min (d1, m2); |
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505 if (! error_state) |
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506 retval(0) = result; |
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507 } |
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508 } |
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509 } |
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510 else if (arg2_is_scalar) |
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511 { |
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512 if (arg1_is_complex || arg2_is_complex) |
|
|
513 { |
|
|
514 ComplexMatrix m1 = arg1.complex_matrix_value (); |
|
|
515 |
|
|
516 if (! error_state) |
|
|
517 { |
|
|
518 Complex c2 = arg2.complex_value (); |
|
|
519 ComplexMatrix result = min (m1, c2); |
|
|
520 if (! error_state) |
|
|
521 retval(0) = result; |
|
|
522 } |
|
|
523 } |
|
|
524 else |
|
|
525 { |
|
|
526 Matrix m1 = arg1.matrix_value (); |
|
|
527 |
|
|
528 if (! error_state) |
|
|
529 { |
|
|
530 double d2 = arg2.double_value (); |
|
|
531 Matrix result = min (m1, d2); |
|
|
532 if (! error_state) |
|
|
533 retval(0) = result; |
|
|
534 } |
|
|
535 } |
|
|
536 } |
|
|
537 else |
|
|
538 { |
|
|
539 if (arg1_is_complex || arg2_is_complex) |
|
|
540 { |
|
|
541 ComplexMatrix m1 = arg1.complex_matrix_value (); |
|
|
542 |
|
|
543 if (! error_state) |
|
|
544 { |
|
|
545 ComplexMatrix m2 = arg2.complex_matrix_value (); |
|
|
546 |
|
|
547 if (! error_state) |
|
|
548 { |
|
|
549 ComplexMatrix result = min (m1, m2); |
|
|
550 if (! error_state) |
|
|
551 retval(0) = result; |
|
|
552 } |
|
|
553 } |
|
|
554 } |
|
|
555 else |
|
|
556 { |
|
|
557 Matrix m1 = arg1.matrix_value (); |
|
|
558 |
|
|
559 if (! error_state) |
|
|
560 { |
|
|
561 Matrix m2 = arg2.matrix_value (); |
|
|
562 |
|
|
563 if (! error_state) |
|
|
564 { |
|
|
565 Matrix result = min (m1, m2); |
|
|
566 if (! error_state) |
|
|
567 retval(0) = result; |
|
|
568 } |
|
|
569 } |
|
|
570 } |
|
|
571 } |
|
|
572 } |
|
|
573 else |
|
|
574 panic_impossible (); |
|
|
575 |
|
|
576 return retval; |
|
|
577 } |
|
|
578 |
|
|
579 DEFUN_DLD (max, args, nargout, |
|
|
580 "max (X): maximum value(s) of a vector (matrix)") |
|
|
581 { |
|
|
582 octave_value_list retval; |
|
|
583 |
|
|
584 int nargin = args.length (); |
|
|
585 |
|
|
586 if (nargin < 1 || nargin > 2 || nargout > 2) |
|
|
587 { |
|
|
588 print_usage ("max"); |
|
|
589 return retval; |
|
|
590 } |
|
|
591 |
|
|
592 octave_value arg1; |
|
|
593 octave_value arg2; |
|
|
594 |
|
|
595 switch (nargin) |
|
|
596 { |
|
|
597 case 2: |
|
|
598 arg2 = args(1); |
|
|
599 // Fall through... |
|
|
600 |
|
|
601 case 1: |
|
|
602 arg1 = args(0); |
|
|
603 break; |
|
|
604 |
|
|
605 default: |
|
|
606 panic_impossible (); |
|
|
607 break; |
|
|
608 } |
|
|
609 |
|
|
610 if (nargin == 1 && (nargout == 1 || nargout == 0)) |
|
|
611 { |
|
|
612 if (arg1.is_real_type ()) |
|
|
613 { |
|
|
614 Matrix m = arg1.matrix_value (); |
|
|
615 |
|
|
616 if (! error_state) |
|
|
617 { |
|
|
618 if (m.rows () == 1) |
|
|
619 retval(0) = m.row_max (); |
|
|
620 else |
|
|
621 retval(0) = octave_value (m.column_max (), 0); |
|
|
622 } |
|
|
623 } |
|
|
624 else if (arg1.is_complex_type ()) |
|
|
625 { |
|
|
626 ComplexMatrix m = arg1.complex_matrix_value (); |
|
|
627 |
|
|
628 if (! error_state) |
|
|
629 { |
|
|
630 if (m.rows () == 1) |
|
|
631 retval(0) = m.row_max (); |
|
|
632 else |
|
|
633 retval(0) = octave_value (m.column_max (), 0); |
|
|
634 } |
|
|
635 } |
|
|
636 else |
|
|
637 gripe_wrong_type_arg ("max", arg1); |
|
|
638 } |
|
|
639 else if (nargin == 1 && nargout == 2) |
|
|
640 { |
|
|
641 Array<int> index; |
|
|
642 |
|
|
643 if (arg1.is_real_type ()) |
|
|
644 { |
|
|
645 Matrix m = arg1.matrix_value (); |
|
|
646 |
|
|
647 if (! error_state) |
|
|
648 { |
|
|
649 retval.resize (2); |
|
|
650 |
|
|
651 if (m.rows () == 1) |
|
|
652 retval(0) = m.row_max (index); |
|
|
653 else |
|
|
654 retval(0) = octave_value (m.column_max (index), 0); |
|
|
655 } |
|
|
656 } |
|
|
657 else if (arg1.is_complex_type ()) |
|
|
658 { |
|
|
659 ComplexMatrix m = arg1.complex_matrix_value (); |
|
|
660 |
|
|
661 if (! error_state) |
|
|
662 { |
|
|
663 retval.resize (2); |
|
|
664 |
|
|
665 if (m.rows () == 1) |
|
|
666 retval(0) = m.row_max (index); |
|
|
667 else |
|
|
668 retval(0) = octave_value (m.column_max (index), 0); |
|
|
669 } |
|
|
670 } |
|
|
671 else |
|
|
672 gripe_wrong_type_arg ("max", arg1); |
|
|
673 |
|
|
674 int len = index.length (); |
|
|
675 |
|
|
676 if (len > 0) |
|
|
677 { |
|
|
678 RowVector idx (len); |
|
|
679 |
|
|
680 for (int i = 0; i < len; i++) |
|
|
681 { |
|
|
682 int tmp = index.elem (i) + 1; |
|
|
683 idx.elem (i) = (tmp <= 0) |
|
|
684 ? octave_NaN : static_cast<double> (tmp); |
|
|
685 } |
|
|
686 |
|
|
687 retval(1) = octave_value (idx, 0); |
|
|
688 } |
|
|
689 } |
|
|
690 else if (nargin == 2) |
|
|
691 { |
|
|
692 int arg1_is_scalar = arg1.is_scalar_type (); |
|
|
693 int arg2_is_scalar = arg2.is_scalar_type (); |
|
|
694 |
|
|
695 int arg1_is_complex = arg1.is_complex_type (); |
|
|
696 int arg2_is_complex = arg2.is_complex_type (); |
|
|
697 |
|
|
698 if (arg1_is_scalar) |
|
|
699 { |
|
|
700 if (arg1_is_complex || arg2_is_complex) |
|
|
701 { |
|
|
702 Complex c1 = arg1.complex_value (); |
|
|
703 ComplexMatrix m2 = arg2.complex_matrix_value (); |
|
|
704 if (! error_state) |
|
|
705 { |
|
|
706 ComplexMatrix result = max (c1, m2); |
|
|
707 if (! error_state) |
|
|
708 retval(0) = result; |
|
|
709 } |
|
|
710 } |
|
|
711 else |
|
|
712 { |
|
|
713 double d1 = arg1.double_value (); |
|
|
714 Matrix m2 = arg2.matrix_value (); |
|
|
715 |
|
|
716 if (! error_state) |
|
|
717 { |
|
|
718 Matrix result = max (d1, m2); |
|
|
719 if (! error_state) |
|
|
720 retval(0) = result; |
|
|
721 } |
|
|
722 } |
|
|
723 } |
|
|
724 else if (arg2_is_scalar) |
|
|
725 { |
|
|
726 if (arg1_is_complex || arg2_is_complex) |
|
|
727 { |
|
|
728 ComplexMatrix m1 = arg1.complex_matrix_value (); |
|
|
729 |
|
|
730 if (! error_state) |
|
|
731 { |
|
|
732 Complex c2 = arg2.complex_value (); |
|
|
733 ComplexMatrix result = max (m1, c2); |
|
|
734 if (! error_state) |
|
|
735 retval(0) = result; |
|
|
736 } |
|
|
737 } |
|
|
738 else |
|
|
739 { |
|
|
740 Matrix m1 = arg1.matrix_value (); |
|
|
741 |
|
|
742 if (! error_state) |
|
|
743 { |
|
|
744 double d2 = arg2.double_value (); |
|
|
745 Matrix result = max (m1, d2); |
|
|
746 if (! error_state) |
|
|
747 retval(0) = result; |
|
|
748 } |
|
|
749 } |
|
|
750 } |
|
|
751 else |
|
|
752 { |
|
|
753 if (arg1_is_complex || arg2_is_complex) |
|
|
754 { |
|
|
755 ComplexMatrix m1 = arg1.complex_matrix_value (); |
|
|
756 |
|
|
757 if (! error_state) |
|
|
758 { |
|
|
759 ComplexMatrix m2 = arg2.complex_matrix_value (); |
|
|
760 |
|
|
761 if (! error_state) |
|
|
762 { |
|
|
763 ComplexMatrix result = max (m1, m2); |
|
|
764 if (! error_state) |
|
|
765 retval(0) = result; |
|
|
766 } |
|
|
767 } |
|
|
768 } |
|
|
769 else |
|
|
770 { |
|
|
771 Matrix m1 = arg1.matrix_value (); |
|
|
772 |
|
|
773 if (! error_state) |
|
|
774 { |
|
|
775 Matrix m2 = arg2.matrix_value (); |
|
|
776 |
|
|
777 if (! error_state) |
|
|
778 { |
|
|
779 Matrix result = max (m1, m2); |
|
|
780 if (! error_state) |
|
|
781 retval(0) = result; |
|
|
782 } |
|
|
783 } |
|
|
784 } |
|
|
785 } |
|
|
786 } |
|
|
787 else |
|
|
788 panic_impossible (); |
|
|
789 |
|
|
790 return retval; |
|
|
791 } |
|
|
792 |
|
|
793 /* |
|
|
794 ;;; Local Variables: *** |
|
|
795 ;;; mode: C++ *** |
|
|
796 ;;; End: *** |
|
|
797 */ |
