annotate libinterp/corefcn/__contourc__.cc @ 27919:1891570abac8

update Octave Project Developers copyright for the new year In files that have the "Octave Project Developers" copyright notice, update for 2020.
author John W. Eaton <jwe@octave.org>
date Mon, 06 Jan 2020 22:29:51 -0500
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1 /* Contour lines for function evaluated on a grid.
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2
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3 Copyright (C) 2001-2020 The Octave Project Developers
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4
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5 See the file COPYRIGHT.md in the top-level directory of this distribution
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6 or <https://octave.org/COPYRIGHT.html/>.
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7
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8
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9 Adapted to an oct file from the stand alone contourl by Victro Munoz
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10 Copyright (C) 2004 Victor Munoz
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11
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12 Based on contour plot routine (plcont.c) in PLPlot package
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13 http://plplot.org/
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14
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15 Copyright (C) 1995, 2000, 2001 Maurice LeBrun
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16 Copyright (C) 2000, 2002 Joao Cardoso
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17 Copyright (C) 2000, 2001, 2002, 2004 Alan W. Irwin
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18 Copyright (C) 2004 Andrew Ross
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20
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21 This file is part of Octave.
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22
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23 Octave is free software: you can redistribute it and/or modify it
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24 under the terms of the GNU General Public License as published by
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25 the Free Software Foundation, either version 3 of the License, or
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26 (at your option) any later version.
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27
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28 Octave is distributed in the hope that it will be useful, but
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29 WITHOUT ANY WARRANTY; without even the implied warranty of
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30 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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31 GNU General Public License for more details.
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32
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33 You should have received a copy of the GNU General Public License
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34 along with Octave; see the file COPYING. If not, see
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35 <https://www.gnu.org/licenses/>.
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36
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37 */
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38
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39 #if defined (HAVE_CONFIG_H)
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40 # include "config.h"
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41 #endif
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42
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43 #include <limits>
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44
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45 #include "defun.h"
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46 #include "ov.h"
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47
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48 // FIXME: this looks like trouble...
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49 static Matrix this_contour;
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50 static Matrix contourc;
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51 static int elem;
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52
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53 // This is the quanta in which we increase this_contour.
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54 #define CONTOUR_QUANT 50
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55
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56 // Add a coordinate point (x,y) to this_contour.
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57
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58 static void
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59 add_point (double x, double y)
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60 {
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61 if (elem % CONTOUR_QUANT == 0)
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62 this_contour = this_contour.append (Matrix (2, CONTOUR_QUANT, 0));
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63
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64 this_contour (0, elem) = x;
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65 this_contour (1, elem) = y;
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66 elem++;
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67 }
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68
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69 // Add contents of current contour to contourc.
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70 // this_contour.cols () - 1;
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71
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72 static void
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73 end_contour (void)
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74 {
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75 if (elem > 2)
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76 {
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77 this_contour (1, 0) = elem - 1;
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78 contourc = contourc.append (this_contour.extract_n (0, 0, 2, elem));
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79 }
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80
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81 this_contour = Matrix ();
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82 elem = 0;
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83 }
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84
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85 // Start a new contour, and add contents of current one to contourc.
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86
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87 static void
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88 start_contour (double lvl, double x, double y)
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89 {
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90 end_contour ();
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91 this_contour.resize (2, 0);
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92 add_point (lvl, 0);
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93 add_point (x, y);
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94 }
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95
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96 static void
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97 drawcn (const RowVector& X, const RowVector& Y, const Matrix& Z,
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98 double lvl, int r, int c, double ct_x, double ct_y,
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99 unsigned int start_edge, bool first, charMatrix& mark)
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100 {
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101 double px[4], py[4], pz[4], tmp;
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102 unsigned int stop_edge, pt[2];
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103
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104 // Continue while next facet is not done yet.
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105 while (r >= 0 && c >= 0 && r < mark.rows () && c < mark.cols ()
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106 && mark(r, c) > 0)
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107 {
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108
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109 //get x, y, and z - lvl for current facet
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110 px[0] = px[3] = X(c);
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111 px[1] = px[2] = X(c+1);
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112
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113 py[0] = py[1] = Y(r);
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114 py[2] = py[3] = Y(r+1);
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115
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116 pz[3] = Z(r+1, c) - lvl;
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117 pz[2] = Z(r+1, c + 1) - lvl;
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118 pz[1] = Z(r, c+1) - lvl;
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119 pz[0] = Z(r, c) - lvl;
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120
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121 // Facet edge and point naming assignment.
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122 //
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123 // 0-----1 .-0-.
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124 // | | | |
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125 // | | 3 1
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126 // | | | |
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127 // 3-----2 .-2-.
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128
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129 // Get mark value of current facet.
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130 char id = static_cast<char> (mark(r, c));
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131
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132 // Check startedge s.
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133 if (start_edge == 255)
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134 {
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135 // Find start edge.
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136 for (unsigned int k = 0; k < 4; k++)
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137 if (static_cast<char> (1 << k) & id)
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138 start_edge = k;
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139 }
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140
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141 if (start_edge == 255)
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142 break;
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143
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144 // Decrease mark value of current facet for start edge.
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145 mark(r, c) -= static_cast<char> (1 << start_edge);
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146
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147 // Next point (clockwise).
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148 pt[0] = start_edge;
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149 pt[1] = (pt[0] + 1) % 4;
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150
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151 // Calculate contour segment start if first of contour.
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152 if (first)
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153 {
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154 tmp = fabs (pz[pt[1]]) / fabs (pz[pt[0]]);
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155
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156 if (octave::math::isnan (tmp))
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157 ct_x = ct_y = 0.5;
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158 else
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159 {
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160 ct_x = px[pt[0]] + (px[pt[1]] - px[pt[0]])/(1 + tmp);
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161 ct_y = py[pt[0]] + (py[pt[1]] - py[pt[0]])/(1 + tmp);
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162 }
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163
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164 start_contour (lvl, ct_x, ct_y);
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165 first = false;
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166 }
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167
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168 // Find stop edge.
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169 // FIXME: perhaps this should use a while loop?
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170 for (unsigned int k = 1; k <= 4; k++)
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171 {
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172 if (start_edge == 0 || start_edge == 2)
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173 stop_edge = (start_edge + k) % 4;
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174 else
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175 stop_edge = (start_edge - k) % 4;
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176
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177 if (static_cast<char> (1 << stop_edge) & id)
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178 break;
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179 }
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180
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181 pt[0] = stop_edge;
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182 pt[1] = (pt[0] + 1) % 4;
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183 tmp = fabs (pz[pt[1]]) / fabs (pz[pt[0]]);
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184
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185 if (octave::math::isnan (tmp))
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186 ct_x = ct_y = 0.5;
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187 else
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188 {
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189 ct_x = px[pt[0]] + (px[pt[1]] - px[pt[0]])/(1 + tmp);
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190 ct_y = py[pt[0]] + (py[pt[1]] - py[pt[0]])/(1 + tmp);
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191 }
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192
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193 // Add point to contour.
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194 add_point (ct_x, ct_y);
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195
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196 // Decrease id value of current facet for start edge.
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197 mark(r, c) -= static_cast<char> (1 << stop_edge);
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198
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199 // Find next facet.
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200 if (stop_edge == 0)
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201 r--;
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202 else if (stop_edge == 1)
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203 c++;
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204 else if (stop_edge == 2)
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205 r++;
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206 else if (stop_edge == 3)
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207 c--;
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208
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209 // Go to next facet.
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210 start_edge = (stop_edge + 2) % 4;
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211
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212 }
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213 }
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214
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215 static void
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216 mark_facets (const Matrix& Z, charMatrix& mark, double lvl)
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217 {
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218 unsigned int nr = mark.rows ();
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219 unsigned int nc = mark.cols ();
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220
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221 double f[4];
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222
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223 for (unsigned int c = 0; c < nc; c++)
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224 for (unsigned int r = 0; r < nr; r++)
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225 {
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226 f[0] = Z(r, c) - lvl;
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227 f[1] = Z(r, c+1) - lvl;
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228 f[3] = Z(r+1, c) - lvl;
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229 f[2] = Z(r+1, c+1) - lvl;
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230
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231 for (unsigned int i = 0; i < 4; i++)
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232 if (fabs(f[i]) < std::numeric_limits<double>::epsilon ())
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233 f[i] = std::numeric_limits<double>::epsilon ();
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234
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235 if (f[1] * f[2] < 0)
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236 mark(r, c) += 2;
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237
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238 if (f[0] * f[3] < 0)
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239 mark(r, c) += 8;
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240 }
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241
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242 for (unsigned int r = 0; r < nr; r++)
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243 for (unsigned int c = 0; c < nc; c++)
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244 {
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245 f[0] = Z(r, c) - lvl;
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246 f[1] = Z(r, c+1) - lvl;
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247 f[3] = Z(r+1, c) - lvl;
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248 f[2] = Z(r+1, c+1) - lvl;
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249
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250 for (unsigned int i = 0; i < 4; i++)
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251 if (fabs(f[i]) < std::numeric_limits<double>::epsilon ())
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252 f[i] = std::numeric_limits<double>::epsilon ();
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253
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254 if (f[0] * f[1] < 0)
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255 mark(r, c) += 1;
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256
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257 if (f[2] * f[3] < 0)
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258 mark(r, c) += 4;
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259 }
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260 }
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261
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262 static void
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263 cntr (const RowVector& X, const RowVector& Y, const Matrix& Z, double lvl)
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264 {
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265 unsigned int nr = Z.rows ();
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266 unsigned int nc = Z.cols ();
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267
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268 charMatrix mark (nr - 1, nc - 1, 0);
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269
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270 mark_facets (Z, mark, lvl);
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271
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272 // Find contours that start at a domain edge.
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273
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274 for (unsigned int c = 0; c < nc - 1; c++)
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275 {
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276 // Top.
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277 if (mark(0, c) & 1)
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278 drawcn (X, Y, Z, lvl, 0, c, 0.0, 0.0, 0, true, mark);
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279
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280 // Bottom.
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281 if (mark(nr - 2, c) & 4)
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282 drawcn (X, Y, Z, lvl, nr - 2, c, 0.0, 0.0, 2, true, mark);
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283 }
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284
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285 for (unsigned int r = 0; r < nr - 1; r++)
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286 {
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287 // Left.
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288 if (mark(r, 0) & 8)
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289 drawcn (X, Y, Z, lvl, r, 0, 0.0, 0.0, 3, true, mark);
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290
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291 // Right.
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292 if (mark(r, nc - 2) & 2)
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293 drawcn (X, Y, Z, lvl, r, nc - 2, 0.0, 0.0, 1, true, mark);
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294 }
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295
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296 for (unsigned int r = 0; r < nr - 1; r++)
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297 for (unsigned int c = 0; c < nc - 1; c++)
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298 if (mark (r, c) > 0)
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299 drawcn (X, Y, Z, lvl, r, c, 0.0, 0.0, 255, true, mark);
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300 }
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301
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302 DEFUN (__contourc__, args, ,
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303 doc: /* -*- texinfo -*-
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304 @deftypefn {} {} __contourc__ (@var{x}, @var{y}, @var{z}, @var{levels})
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305 Undocumented internal function.
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306 @end deftypefn */)
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307 {
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308 if (args.length () != 4)
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309 print_usage ();
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310
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311 RowVector X = args(0).row_vector_value ();
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312 RowVector Y = args(1).row_vector_value ();
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313 Matrix Z = args(2).matrix_value ();
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314 RowVector L = args(3).row_vector_value ();
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315
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316 contourc.resize (2, 0);
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317
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318 for (int i = 0; i < L.numel (); i++)
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319 cntr (X, Y, Z, L (i));
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320
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321 end_contour ();
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322
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323 return octave_value (contourc);
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324 }
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325
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326 /*
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327 ## No test needed for internal helper function.
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328 %!assert (1)
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329 */