annotate liboctave/dRowVector.cc @ 2386:4fc9fd1424a9

[project @ 1996-10-12 18:31:34 by jwe]
author jwe
date Sat, 12 Oct 1996 18:38:10 +0000
parents 1b57120c997b
children a5a300c61159
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1 // RowVector manipulations.
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2 /*
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3
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4 Copyright (C) 1996 John W. Eaton
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5
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6 This file is part of Octave.
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7
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8 Octave is free software; you can redistribute it and/or modify it
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9 under the terms of the GNU General Public License as published by the
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10 Free Software Foundation; either version 2, or (at your option) any
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11 later version.
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12
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13 Octave is distributed in the hope that it will be useful, but WITHOUT
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14 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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15 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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16 for more details.
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17
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18 You should have received a copy of the GNU General Public License
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19 along with Octave; see the file COPYING. If not, write to the Free
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20 Software Foundation, 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
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21
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22 */
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23
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24 #if defined (__GNUG__)
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25 #pragma implementation
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26 #endif
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27
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28 #ifdef HAVE_CONFIG_H
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29 #include <config.h>
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30 #endif
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31
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32 #include <iostream.h>
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33
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34 #include "f77-fcn.h"
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35 #include "lo-error.h"
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36 #include "mx-base.h"
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37 #include "mx-inlines.cc"
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38 #include "oct-cmplx.h"
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39
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40 // Fortran functions we call.
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41
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42 extern "C"
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43 {
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44 int F77_FCN (dgemv, DGEMV) (const char*, const int&, const int&,
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45 const double&, const double*,
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46 const int&, const double*, const int&,
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47 const double&, double*, const int&,
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48 long);
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49
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50 double F77_FCN (ddot, DDOT) (const int&, const double*, const int&,
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51 const double*, const int&);
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52 }
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53
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54 // Row Vector class.
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55
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56 bool
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57 RowVector::operator == (const RowVector& a) const
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58 {
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59 int len = length ();
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60 if (len != a.length ())
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61 return 0;
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62 return equal (data (), a.data (), len);
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63 }
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64
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65 bool
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66 RowVector::operator != (const RowVector& a) const
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67 {
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68 return !(*this == a);
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69 }
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70
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71 RowVector&
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72 RowVector::insert (const RowVector& a, int c)
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73 {
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74 int a_len = a.length ();
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75 if (c < 0 || c + a_len > length ())
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76 {
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77 (*current_liboctave_error_handler) ("range error for insert");
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78 return *this;
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79 }
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80
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81 for (int i = 0; i < a_len; i++)
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82 elem (c+i) = a.elem (i);
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83
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84 return *this;
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85 }
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86
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87 RowVector&
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88 RowVector::fill (double val)
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89 {
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90 int len = length ();
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91 if (len > 0)
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92 for (int i = 0; i < len; i++)
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93 elem (i) = val;
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94 return *this;
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95 }
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96
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97 RowVector&
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98 RowVector::fill (double val, int c1, int c2)
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99 {
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100 int len = length ();
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101 if (c1 < 0 || c2 < 0 || c1 >= len || c2 >= len)
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102 {
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103 (*current_liboctave_error_handler) ("range error for fill");
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104 return *this;
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105 }
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106
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107 if (c1 > c2) { int tmp = c1; c1 = c2; c2 = tmp; }
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108
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109 for (int i = c1; i <= c2; i++)
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110 elem (i) = val;
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111
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112 return *this;
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113 }
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114
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115 RowVector
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116 RowVector::append (const RowVector& a) const
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117 {
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118 int len = length ();
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119 int nc_insert = len;
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120 RowVector retval (len + a.length ());
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121 retval.insert (*this, 0);
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122 retval.insert (a, nc_insert);
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123 return retval;
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124 }
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125
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126 ColumnVector
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127 RowVector::transpose (void) const
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128 {
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129 return ColumnVector (*this);
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130 }
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131
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132 RowVector
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133 real (const ComplexRowVector& a)
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134 {
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135 int a_len = a.length ();
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136 RowVector retval;
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137 if (a_len > 0)
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138 retval = RowVector (real_dup (a.data (), a_len), a_len);
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139 return retval;
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140 }
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141
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142 RowVector
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143 imag (const ComplexRowVector& a)
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144 {
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145 int a_len = a.length ();
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146 RowVector retval;
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147 if (a_len > 0)
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148 retval = RowVector (imag_dup (a.data (), a_len), a_len);
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149 return retval;
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150 }
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151
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152 RowVector
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153 RowVector::extract (int c1, int c2) const
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154 {
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155 if (c1 > c2) { int tmp = c1; c1 = c2; c2 = tmp; }
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156
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157 int new_c = c2 - c1 + 1;
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158
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159 RowVector result (new_c);
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160
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161 for (int i = 0; i < new_c; i++)
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162 result.elem (i) = elem (c1+i);
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163
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164 return result;
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165 }
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166
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167 // row vector by row vector -> row vector operations
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168
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169 RowVector&
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170 RowVector::operator += (const RowVector& a)
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171 {
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172 int len = length ();
2386
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diff changeset
173
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diff changeset
174 int a_len = a.length ();
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175
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diff changeset
176 if (len != a_len)
458
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177 {
2386
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diff changeset
178 gripe_nonconformant ("operator +=", len, a_len);
458
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179 return *this;
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
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180 }
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
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diff changeset
181
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
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parents:
diff changeset
182 if (len == 0)
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
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parents:
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183 return *this;
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
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184
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
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185 double *d = fortran_vec (); // Ensures only one reference to my privates!
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186
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
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187 add2 (d, a.data (), len);
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
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188 return *this;
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
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parents:
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189 }
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
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190
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
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diff changeset
191 RowVector&
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
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192 RowVector::operator -= (const RowVector& a)
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
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193 {
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
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194 int len = length ();
2386
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195
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196 int a_len = a.length ();
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197
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diff changeset
198 if (len != a_len)
458
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199 {
2386
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diff changeset
200 gripe_nonconformant ("operator -=", len, a_len);
458
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201 return *this;
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
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parents:
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202 }
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
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diff changeset
203
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
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parents:
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204 if (len == 0)
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
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parents:
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205 return *this;
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
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parents:
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206
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
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207 double *d = fortran_vec (); // Ensures only one reference to my privates!
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
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208
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
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diff changeset
209 subtract2 (d, a.data (), len);
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
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210 return *this;
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
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parents:
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211 }
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
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212
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
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213 // row vector by matrix -> row vector
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
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214
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
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215 RowVector
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
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diff changeset
216 operator * (const RowVector& v, const Matrix& a)
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
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diff changeset
217 {
1947
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diff changeset
218 RowVector retval;
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diff changeset
219
458
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220 int len = v.length ();
1947
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diff changeset
221
2386
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diff changeset
222 int a_nr = a.rows ();
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diff changeset
223 int a_nc = a.cols ();
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parents: 1993
diff changeset
224
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parents: 1993
diff changeset
225 if (a_nr != len)
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diff changeset
226 gripe_nonconformant ("operator *", 1, len, a_nr, a_nc);
1947
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parents: 1882
diff changeset
227 else
458
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
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parents:
diff changeset
228 {
1947
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parents: 1882
diff changeset
229 int a_nr = a.rows ();
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parents: 1882
diff changeset
230 int a_nc = a.cols ();
5ab3c25a3cf9 [project @ 1996-02-14 01:50:42 by jwe]
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parents: 1882
diff changeset
231
5ab3c25a3cf9 [project @ 1996-02-14 01:50:42 by jwe]
jwe
parents: 1882
diff changeset
232 if (len == 0)
5ab3c25a3cf9 [project @ 1996-02-14 01:50:42 by jwe]
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parents: 1882
diff changeset
233 retval.resize (a_nc, 0.0);
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parents: 1882
diff changeset
234 else
5ab3c25a3cf9 [project @ 1996-02-14 01:50:42 by jwe]
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parents: 1882
diff changeset
235 {
5ab3c25a3cf9 [project @ 1996-02-14 01:50:42 by jwe]
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parents: 1882
diff changeset
236 // Transpose A to form A'*x == (x'*A)'
5ab3c25a3cf9 [project @ 1996-02-14 01:50:42 by jwe]
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parents: 1882
diff changeset
237
5ab3c25a3cf9 [project @ 1996-02-14 01:50:42 by jwe]
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parents: 1882
diff changeset
238 int ld = a_nr;
5ab3c25a3cf9 [project @ 1996-02-14 01:50:42 by jwe]
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parents: 1882
diff changeset
239
5ab3c25a3cf9 [project @ 1996-02-14 01:50:42 by jwe]
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parents: 1882
diff changeset
240 retval.resize (a_nc);
5ab3c25a3cf9 [project @ 1996-02-14 01:50:42 by jwe]
jwe
parents: 1882
diff changeset
241 double *y = retval.fortran_vec ();
5ab3c25a3cf9 [project @ 1996-02-14 01:50:42 by jwe]
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parents: 1882
diff changeset
242
5ab3c25a3cf9 [project @ 1996-02-14 01:50:42 by jwe]
jwe
parents: 1882
diff changeset
243 F77_XFCN (dgemv, DGEMV, ("T", a_nr, a_nc, 1.0, a.data (),
5ab3c25a3cf9 [project @ 1996-02-14 01:50:42 by jwe]
jwe
parents: 1882
diff changeset
244 ld, v.data (), 1, 0.0, y, 1, 1L));
5ab3c25a3cf9 [project @ 1996-02-14 01:50:42 by jwe]
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parents: 1882
diff changeset
245
5ab3c25a3cf9 [project @ 1996-02-14 01:50:42 by jwe]
jwe
parents: 1882
diff changeset
246 if (f77_exception_encountered)
5ab3c25a3cf9 [project @ 1996-02-14 01:50:42 by jwe]
jwe
parents: 1882
diff changeset
247 (*current_liboctave_error_handler)
5ab3c25a3cf9 [project @ 1996-02-14 01:50:42 by jwe]
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parents: 1882
diff changeset
248 ("unrecoverable error in dgemv");
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parents: 1882
diff changeset
249 }
458
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parents:
diff changeset
250 }
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
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parents:
diff changeset
251
1947
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parents: 1882
diff changeset
252 return retval;
458
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
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parents:
diff changeset
253 }
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
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diff changeset
254
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
255 // other operations
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parents:
diff changeset
256
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
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parents:
diff changeset
257 RowVector
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
258 map (d_d_Mapper f, const RowVector& a)
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
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parents:
diff changeset
259 {
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
260 RowVector b (a);
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
261 b.map (f);
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
262 return b;
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
263 }
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
264
1205
8302fab9fe24 [project @ 1995-04-04 02:05:01 by jwe]
jwe
parents: 1192
diff changeset
265 RowVector
8302fab9fe24 [project @ 1995-04-04 02:05:01 by jwe]
jwe
parents: 1192
diff changeset
266 map (d_c_Mapper f, const ComplexRowVector& a)
8302fab9fe24 [project @ 1995-04-04 02:05:01 by jwe]
jwe
parents: 1192
diff changeset
267 {
8302fab9fe24 [project @ 1995-04-04 02:05:01 by jwe]
jwe
parents: 1192
diff changeset
268 int a_len = a.length ();
8302fab9fe24 [project @ 1995-04-04 02:05:01 by jwe]
jwe
parents: 1192
diff changeset
269 RowVector b (a_len);
8302fab9fe24 [project @ 1995-04-04 02:05:01 by jwe]
jwe
parents: 1192
diff changeset
270 for (int i = 0; i < a_len; i++)
8302fab9fe24 [project @ 1995-04-04 02:05:01 by jwe]
jwe
parents: 1192
diff changeset
271 b.elem (i) = f (a.elem (i));
8302fab9fe24 [project @ 1995-04-04 02:05:01 by jwe]
jwe
parents: 1192
diff changeset
272 return b;
8302fab9fe24 [project @ 1995-04-04 02:05:01 by jwe]
jwe
parents: 1192
diff changeset
273 }
8302fab9fe24 [project @ 1995-04-04 02:05:01 by jwe]
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parents: 1192
diff changeset
274
458
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jwe
parents:
diff changeset
275 void
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
276 RowVector::map (d_d_Mapper f)
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
277 {
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
278 for (int i = 0; i < length (); i++)
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
279 elem (i) = f (elem (i));
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
280 }
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
281
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
282 double
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
283 RowVector::min (void) const
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
284 {
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
285 int len = length ();
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
286 if (len == 0)
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
287 return 0;
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
288
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
289 double res = elem (0);
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
290
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
291 for (int i = 1; i < len; i++)
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
292 if (elem (i) < res)
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
293 res = elem (i);
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
294
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
295 return res;
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
296 }
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
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parents:
diff changeset
297
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
298 double
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
299 RowVector::max (void) const
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
300 {
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
301 int len = length ();
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
302 if (len == 0)
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
303 return 0;
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
304
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
305 double res = elem (0);
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
306
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
307 for (int i = 1; i < len; i++)
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
308 if (elem (i) > res)
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
309 res = elem (i);
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
310
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
311 return res;
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
312 }
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
313
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
314 ostream&
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
315 operator << (ostream& os, const RowVector& a)
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
316 {
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
317 // int field_width = os.precision () + 7;
1360
7eb93d12654c [project @ 1995-09-05 21:51:54 by jwe]
jwe
parents: 1315
diff changeset
318
458
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
319 for (int i = 0; i < a.length (); i++)
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
320 os << " " /* setw (field_width) */ << a.elem (i);
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
321 return os;
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
322 }
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
323
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
324 istream&
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
325 operator >> (istream& is, RowVector& a)
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
326 {
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
327 int len = a.length();
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
328
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
329 if (len < 1)
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
330 is.clear (ios::badbit);
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
331 else
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
332 {
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
333 double tmp;
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
334 for (int i = 0; i < len; i++)
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
335 {
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
336 is >> tmp;
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
337 if (is)
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
338 a.elem (i) = tmp;
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
339 else
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
340 break;
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
341 }
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
diff changeset
342 }
532
2ca256b77602 [project @ 1994-07-20 19:56:55 by jwe]
jwe
parents: 458
diff changeset
343 return is;
458
38cb88095913 [project @ 1994-06-06 00:41:10 by jwe]
jwe
parents:
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344 }
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345
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346 // other operations
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347
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348 RowVector
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349 linspace (double x1, double x2, int n)
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350 {
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351 RowVector retval;
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352
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353 if (n > 0)
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354 {
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355 retval.resize (n);
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356 double delta = (x2 - x1) / (n - 1);
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357 retval.elem (0) = x1;
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358 for (int i = 1; i < n-1; i++)
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359 retval.elem (i) = x1 + i * delta;
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360 retval.elem (n-1) = x2;
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361 }
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362
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363 return retval;
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364 }
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365
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366 // row vector by column vector -> scalar
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367
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368 double
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369 operator * (const RowVector& v, const ColumnVector& a)
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370 {
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371 double retval = 0.0;
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372
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373 int len = v.length ();
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374
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375 int a_len = a.length ();
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376
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377 if (len != a_len)
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378 gripe_nonconformant ("operator *", len, a_len);
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379 else if (len != 0)
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380 retval = F77_FCN (ddot, DDOT) (len, v.data (), 1, a.data (), 1);
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381
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382 return retval;
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383 }
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384
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385 Complex
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386 operator * (const RowVector& v, const ComplexColumnVector& a)
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387 {
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388 ComplexRowVector tmp (v);
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389 return tmp * a;
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390 }
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391
458
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392 /*
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393 ;;; Local Variables: ***
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394 ;;; mode: C++ ***
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395 ;;; End: ***
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396 */