Mercurial > hg > octave-lyh
annotate liboctave/fDiagMatrix.cc @ 10010:c5e9931c7ba7
Correctly produce postcript output for geometryimages when QHULL library is not present
author | Rik <rdrider0-list@yahoo.com> |
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date | Sun, 20 Dec 2009 17:02:57 -0800 |
parents | f80c566bc751 |
children | 4c0cdbe0acca |
rev | line source |
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1 // FloatDiagMatrix manipulations. |
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2 /* |
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3 |
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4 Copyright (C) 1994, 1995, 1996, 1997, 2000, 2001, 2002, 2003, 2004, |
8920 | 5 2005, 2007, 2008, 2009 John W. Eaton |
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6 Copyright (C) 2009 VZLU Prague |
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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 the |
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12 Free Software Foundation; either version 3 of the License, or (at your |
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13 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 WITHOUT |
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16 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or |
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17 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License |
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18 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 <http://www.gnu.org/licenses/>. |
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23 |
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24 */ |
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25 |
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26 #ifdef 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 <iostream> |
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31 |
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32 #include "Array-util.h" |
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33 #include "lo-error.h" |
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34 #include "mx-base.h" |
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35 #include "mx-inlines.cc" |
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36 #include "oct-cmplx.h" |
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37 |
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38 // Diagonal Matrix class. |
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39 |
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40 bool |
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41 FloatDiagMatrix::operator == (const FloatDiagMatrix& a) const |
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42 { |
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43 if (rows () != a.rows () || cols () != a.cols ()) |
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44 return 0; |
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45 |
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46 return mx_inline_equal (length (), data (), a.data ()); |
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47 } |
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48 |
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49 bool |
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50 FloatDiagMatrix::operator != (const FloatDiagMatrix& a) const |
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51 { |
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52 return !(*this == a); |
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53 } |
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54 |
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55 FloatDiagMatrix& |
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56 FloatDiagMatrix::fill (float val) |
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57 { |
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58 for (octave_idx_type i = 0; i < length (); i++) |
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59 elem (i, i) = val; |
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60 return *this; |
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61 } |
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62 |
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63 FloatDiagMatrix& |
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64 FloatDiagMatrix::fill (float val, octave_idx_type beg, octave_idx_type end) |
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65 { |
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66 if (beg < 0 || end >= length () || end < beg) |
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67 { |
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68 (*current_liboctave_error_handler) ("range error for fill"); |
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69 return *this; |
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70 } |
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71 |
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72 for (octave_idx_type i = beg; i <= end; i++) |
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73 elem (i, i) = val; |
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74 |
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75 return *this; |
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76 } |
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77 |
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78 FloatDiagMatrix& |
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79 FloatDiagMatrix::fill (const FloatColumnVector& a) |
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80 { |
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81 octave_idx_type len = length (); |
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82 if (a.length () != len) |
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83 { |
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84 (*current_liboctave_error_handler) ("range error for fill"); |
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85 return *this; |
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86 } |
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87 |
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88 for (octave_idx_type i = 0; i < len; i++) |
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89 elem (i, i) = a.elem (i); |
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90 |
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91 return *this; |
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92 } |
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93 |
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94 FloatDiagMatrix& |
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95 FloatDiagMatrix::fill (const FloatRowVector& a) |
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96 { |
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97 octave_idx_type len = length (); |
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98 if (a.length () != len) |
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99 { |
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100 (*current_liboctave_error_handler) ("range error for fill"); |
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101 return *this; |
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102 } |
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103 |
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104 for (octave_idx_type i = 0; i < len; i++) |
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105 elem (i, i) = a.elem (i); |
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106 |
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107 return *this; |
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108 } |
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109 |
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110 FloatDiagMatrix& |
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111 FloatDiagMatrix::fill (const FloatColumnVector& a, octave_idx_type beg) |
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112 { |
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113 octave_idx_type a_len = a.length (); |
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114 if (beg < 0 || beg + a_len >= length ()) |
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115 { |
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116 (*current_liboctave_error_handler) ("range error for fill"); |
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117 return *this; |
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118 } |
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119 |
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120 for (octave_idx_type i = 0; i < a_len; i++) |
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121 elem (i+beg, i+beg) = a.elem (i); |
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122 |
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123 return *this; |
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124 } |
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125 |
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126 FloatDiagMatrix& |
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127 FloatDiagMatrix::fill (const FloatRowVector& a, octave_idx_type beg) |
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128 { |
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129 octave_idx_type a_len = a.length (); |
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130 if (beg < 0 || beg + a_len >= length ()) |
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131 { |
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132 (*current_liboctave_error_handler) ("range error for fill"); |
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133 return *this; |
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134 } |
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135 |
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136 for (octave_idx_type i = 0; i < a_len; i++) |
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137 elem (i+beg, i+beg) = a.elem (i); |
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138 |
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139 return *this; |
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140 } |
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141 |
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142 FloatDiagMatrix |
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143 FloatDiagMatrix::abs (void) const |
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144 { |
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145 FloatDiagMatrix retval (rows (), cols ()); |
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146 for (octave_idx_type i = 0; i < rows (); i++) |
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147 retval(i, i) = std::abs (elem (i, i)); |
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148 return retval; |
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149 } |
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150 |
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151 FloatDiagMatrix |
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152 real (const FloatComplexDiagMatrix& a) |
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153 { |
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154 FloatDiagMatrix retval; |
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155 octave_idx_type a_len = a.length (); |
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156 if (a_len > 0) |
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157 retval = FloatDiagMatrix (mx_inline_real_dup (a.data (), a_len), a.rows (), |
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158 a.cols ()); |
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159 return retval; |
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160 } |
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161 |
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162 FloatDiagMatrix |
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163 imag (const FloatComplexDiagMatrix& a) |
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164 { |
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165 FloatDiagMatrix retval; |
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166 octave_idx_type a_len = a.length (); |
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167 if (a_len > 0) |
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168 retval = FloatDiagMatrix (mx_inline_imag_dup (a.data (), a_len), a.rows (), |
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169 a.cols ()); |
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170 return retval; |
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171 } |
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172 |
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173 FloatMatrix |
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174 FloatDiagMatrix::extract (octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) const |
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175 { |
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176 if (r1 > r2) { octave_idx_type tmp = r1; r1 = r2; r2 = tmp; } |
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177 if (c1 > c2) { octave_idx_type tmp = c1; c1 = c2; c2 = tmp; } |
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178 |
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179 octave_idx_type new_r = r2 - r1 + 1; |
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180 octave_idx_type new_c = c2 - c1 + 1; |
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181 |
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182 FloatMatrix result (new_r, new_c); |
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183 |
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184 for (octave_idx_type j = 0; j < new_c; j++) |
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185 for (octave_idx_type i = 0; i < new_r; i++) |
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186 result.elem (i, j) = elem (r1+i, c1+j); |
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187 |
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188 return result; |
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189 } |
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190 |
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191 // extract row or column i. |
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192 |
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193 FloatRowVector |
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194 FloatDiagMatrix::row (octave_idx_type i) const |
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195 { |
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196 octave_idx_type r = rows (); |
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197 octave_idx_type c = cols (); |
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198 if (i < 0 || i >= r) |
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199 { |
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200 (*current_liboctave_error_handler) ("invalid row selection"); |
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201 return FloatRowVector (); |
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202 } |
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203 |
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204 FloatRowVector retval (c, 0.0); |
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205 if (r <= c || (r > c && i < c)) |
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206 retval.elem (i) = elem (i, i); |
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207 |
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208 return retval; |
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209 } |
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210 |
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211 FloatRowVector |
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212 FloatDiagMatrix::row (char *s) const |
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213 { |
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214 if (! s) |
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215 { |
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216 (*current_liboctave_error_handler) ("invalid row selection"); |
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217 return FloatRowVector (); |
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218 } |
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219 |
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220 char c = *s; |
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221 if (c == 'f' || c == 'F') |
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222 return row (static_cast<octave_idx_type>(0)); |
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223 else if (c == 'l' || c == 'L') |
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224 return row (rows () - 1); |
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225 else |
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226 { |
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227 (*current_liboctave_error_handler) ("invalid row selection"); |
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228 return FloatRowVector (); |
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229 } |
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230 } |
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231 |
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232 FloatColumnVector |
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233 FloatDiagMatrix::column (octave_idx_type i) const |
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234 { |
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235 octave_idx_type r = rows (); |
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236 octave_idx_type c = cols (); |
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237 if (i < 0 || i >= c) |
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238 { |
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239 (*current_liboctave_error_handler) ("invalid column selection"); |
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240 return FloatColumnVector (); |
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241 } |
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242 |
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243 FloatColumnVector retval (r, 0.0); |
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244 if (r >= c || (r < c && i < r)) |
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245 retval.elem (i) = elem (i, i); |
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246 |
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247 return retval; |
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248 } |
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249 |
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250 FloatColumnVector |
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251 FloatDiagMatrix::column (char *s) const |
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252 { |
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253 if (! s) |
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254 { |
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255 (*current_liboctave_error_handler) ("invalid column selection"); |
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256 return FloatColumnVector (); |
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257 } |
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258 |
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259 char c = *s; |
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260 if (c == 'f' || c == 'F') |
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261 return column (static_cast<octave_idx_type>(0)); |
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262 else if (c == 'l' || c == 'L') |
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263 return column (cols () - 1); |
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264 else |
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265 { |
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266 (*current_liboctave_error_handler) ("invalid column selection"); |
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267 return FloatColumnVector (); |
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268 } |
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269 } |
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270 |
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271 FloatDiagMatrix |
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272 FloatDiagMatrix::inverse (void) const |
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273 { |
8811 | 274 octave_idx_type info; |
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275 return inverse (info); |
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276 } |
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277 |
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278 FloatDiagMatrix |
8811 | 279 FloatDiagMatrix::inverse (octave_idx_type &info) const |
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280 { |
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281 octave_idx_type r = rows (); |
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282 octave_idx_type c = cols (); |
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283 octave_idx_type len = length (); |
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284 if (r != c) |
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285 { |
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286 (*current_liboctave_error_handler) ("inverse requires square matrix"); |
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287 return FloatDiagMatrix (); |
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288 } |
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289 |
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290 FloatDiagMatrix retval (r, c); |
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291 |
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292 info = 0; |
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293 for (octave_idx_type i = 0; i < len; i++) |
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294 { |
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295 if (elem (i, i) == 0.0) |
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296 { |
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297 info = -1; |
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298 return *this; |
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299 } |
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300 else |
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301 retval.elem (i, i) = 1.0 / elem (i, i); |
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302 } |
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303 |
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304 return retval; |
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305 } |
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306 |
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307 FloatDiagMatrix |
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308 FloatDiagMatrix::pseudo_inverse (void) const |
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309 { |
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310 octave_idx_type r = rows (); |
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311 octave_idx_type c = cols (); |
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312 octave_idx_type len = length (); |
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313 |
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314 FloatDiagMatrix retval (c, r); |
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315 |
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316 for (octave_idx_type i = 0; i < len; i++) |
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317 { |
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318 if (elem (i, i) != 0.0f) |
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319 retval.elem (i, i) = 1.0f / elem (i, i); |
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320 else |
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321 retval.elem (i, i) = 0.0f; |
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322 } |
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323 |
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324 return retval; |
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325 } |
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326 |
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327 // diagonal matrix by diagonal matrix -> diagonal matrix operations |
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328 |
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329 // diagonal matrix by diagonal matrix -> diagonal matrix operations |
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330 |
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331 FloatDiagMatrix |
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332 operator * (const FloatDiagMatrix& a, const FloatDiagMatrix& b) |
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333 { |
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334 octave_idx_type a_nr = a.rows (); |
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335 octave_idx_type a_nc = a.cols (); |
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336 |
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337 octave_idx_type b_nr = b.rows (); |
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338 octave_idx_type b_nc = b.cols (); |
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339 |
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340 if (a_nc != b_nr) |
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341 gripe_nonconformant ("operator *", a_nr, a_nc, b_nr, b_nc); |
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342 |
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343 FloatDiagMatrix c (a_nr, b_nc); |
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344 |
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345 octave_idx_type len = c.length (), lenm = len < a_nc ? len : a_nc; |
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346 |
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347 for (octave_idx_type i = 0; i < lenm; i++) |
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348 c.dgxelem (i) = a.dgelem (i) * b.dgelem (i); |
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349 for (octave_idx_type i = lenm; i < len; i++) |
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350 c.dgxelem (i) = 0.0f; |
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351 |
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352 return c; |
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353 } |
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354 |
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355 // other operations |
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356 |
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357 FloatDET |
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358 FloatDiagMatrix::determinant (void) const |
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359 { |
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360 FloatDET det (1.0f); |
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361 if (rows () != cols ()) |
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362 { |
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363 (*current_liboctave_error_handler) ("determinant requires square matrix"); |
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364 det = 0.0f; |
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365 } |
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366 else |
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367 { |
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368 octave_idx_type len = length (); |
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369 for (octave_idx_type i = 0; i < len; i++) |
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370 det *= elem (i, i); |
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371 } |
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372 |
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373 return det; |
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374 } |
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375 |
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376 float |
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377 FloatDiagMatrix::rcond (void) const |
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378 { |
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379 FloatColumnVector av = diag (0).map<float> (fabsf); |
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380 float amx = av.max (), amn = av.min (); |
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381 return amx == 0 ? 0.0f : amn / amx; |
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382 } |
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|
383 |
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384 std::ostream& |
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385 operator << (std::ostream& os, const FloatDiagMatrix& a) |
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386 { |
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387 // int field_width = os.precision () + 7; |
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388 |
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389 for (octave_idx_type i = 0; i < a.rows (); i++) |
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390 { |
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|
391 for (octave_idx_type j = 0; j < a.cols (); j++) |
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392 { |
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393 if (i == j) |
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394 os << " " /* setw (field_width) */ << a.elem (i, i); |
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395 else |
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396 os << " " /* setw (field_width) */ << 0.0; |
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397 } |
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398 os << "\n"; |
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|
399 } |
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400 return os; |
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|
401 } |
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|
402 |
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|
403 /* |
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|
404 ;;; Local Variables: *** |
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405 ;;; mode: C++ *** |
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406 ;;; End: *** |
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407 */ |