annotate libinterp/corefcn/__contourc__.cc @ 29359:7854d5752dd2

maint: merge stable to default.
author John W. Eaton <jwe@octave.org>
date Wed, 10 Feb 2021 10:10:40 -0500
parents 7bfc454b9e08 0a5b15007766
children 32c3a5805893
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1 ////////////////////////////////////////////////////////////////////////
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2 //
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3 // Contour lines for function evaluated on a grid.
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4 //
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5 // Copyright (C) 2001-2021 The Octave Project Developers
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6 //
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7 // See the file COPYRIGHT.md in the top-level directory of this
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8 // distribution or <https://octave.org/copyright/>.
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9 //
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10 // Adapted to an oct file from the stand alone contourl by Victro Munoz
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11 // Copyright (C) 2004 Victor Munoz
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12 //
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13 // Based on contour plot routine (plcont.c) in PLPlot package
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14 // http://plplot.org/
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15 //
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16 // Copyright (C) 1995, 2000, 2001 Maurice LeBrun
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17 // Copyright (C) 2000, 2002 Joao Cardoso
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18 // Copyright (C) 2000, 2001, 2002, 2004 Alan W. Irwin
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19 // Copyright (C) 2004 Andrew Ross
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20 //
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21 //
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22 // This file is part of Octave.
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23 //
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24 // Octave is free software: you can redistribute it and/or modify it
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25 // under the terms of the GNU General Public License as published by
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26 // the Free Software Foundation, either version 3 of the License, or
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27 // (at your option) any later version.
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28 //
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29 // Octave is distributed in the hope that it will be useful, but
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30 // WITHOUT ANY WARRANTY; without even the implied warranty of
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31 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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32 // GNU General Public License for more details.
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33 //
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34 // You should have received a copy of the GNU General Public License
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35 // along with Octave; see the file COPYING. If not, see
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36 // <https://www.gnu.org/licenses/>.
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37 //
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38 ////////////////////////////////////////////////////////////////////////
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39
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40 #if defined (HAVE_CONFIG_H)
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41 # include "config.h"
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42 #endif
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43
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44 #include <limits>
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45
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46 #include "defun.h"
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47 #include "ov.h"
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48
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49 // FIXME: this looks like trouble...
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50 static Matrix this_contour;
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51 static Matrix contourc;
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52 static int elem;
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53
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54 // This is the quanta in which we increase this_contour.
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55 #define CONTOUR_QUANT 50
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56
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57 // Add a coordinate point (x,y) to this_contour.
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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 static void
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72 end_contour (void)
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73 {
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74 if (elem > 2)
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75 {
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76 this_contour(1, 0) = elem - 1;
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77 contourc = contourc.append (this_contour.extract_n (0, 0, 2, elem));
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78 }
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79
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80 this_contour = Matrix ();
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81 elem = 0;
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82 }
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83
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84 // Start a new contour, and add contents of current one to contourc.
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85
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86 static void
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87 start_contour (double lvl, double x, double y)
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88 {
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89 end_contour ();
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90 this_contour.resize (2, 0);
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91 add_point (lvl, 0);
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92 add_point (x, y);
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93 }
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94
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95 static void
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96 drawcn (const RowVector& X, const RowVector& Y, const Matrix& Z,
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97 double lvl, int r, int c, double ct_x, double ct_y,
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98 unsigned int start_edge, bool first, charMatrix& mark)
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99 {
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100 double px[4], py[4], pz[4], tmp;
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101 unsigned int stop_edge, pt[2];
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102
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103 // Continue while next facet is not done yet.
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104 while (r >= 0 && c >= 0 && r < mark.rows () && c < mark.cols ()
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105 && mark(r, c) > 0)
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106 {
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107
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108 //get x, y, and z - lvl for current facet
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109 px[0] = px[3] = X(c);
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110 px[1] = px[2] = X(c+1);
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111
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112 py[0] = py[1] = Y(r);
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113 py[2] = py[3] = Y(r+1);
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114
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115 pz[3] = Z(r+1, c) - lvl;
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116 pz[2] = Z(r+1, c + 1) - lvl;
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117 pz[1] = Z(r, c+1) - lvl;
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118 pz[0] = Z(r, c) - lvl;
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119
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120 // Facet edge and point naming assignment.
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121 //
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122 // 0-----1 .-0-.
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123 // | | | |
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124 // | | 3 1
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125 // | | | |
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126 // 3-----2 .-2-.
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127
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128 // Get mark value of current facet.
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129 char id = static_cast<char> (mark(r, c));
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130
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131 // Check startedge s.
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132 if (start_edge == 255)
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133 {
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134 // Find start edge.
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135 for (unsigned int k = 0; k < 4; k++)
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136 if (static_cast<char> (1 << k) & id)
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137 start_edge = k;
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138 }
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139
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140 if (start_edge == 255)
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141 break;
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142
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143 // Decrease mark value of current facet for start edge.
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144 mark(r, c) -= static_cast<char> (1 << start_edge);
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145
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146 // Next point (clockwise).
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147 pt[0] = start_edge;
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148 pt[1] = (pt[0] + 1) % 4;
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149
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150 // Calculate contour segment start if first of contour.
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151 if (first)
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152 {
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153 tmp = fabs (pz[pt[1]]) / fabs (pz[pt[0]]);
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154
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155 if (octave::math::isnan (tmp))
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156 ct_x = ct_y = 0.5;
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157 else
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158 {
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159 ct_x = px[pt[0]] + (px[pt[1]] - px[pt[0]])/(1 + tmp);
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160 ct_y = py[pt[0]] + (py[pt[1]] - py[pt[0]])/(1 + tmp);
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161 }
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162
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163 start_contour (lvl, ct_x, ct_y);
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164 first = false;
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165 }
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166
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167 // Find stop edge.
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168 // FIXME: perhaps this should use a while loop?
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169 for (unsigned int k = 1; k <= 4; k++)
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170 {
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171 if (start_edge == 0 || start_edge == 2)
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172 stop_edge = (start_edge + k) % 4;
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173 else
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174 stop_edge = (start_edge - k) % 4;
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175
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176 if (static_cast<char> (1 << stop_edge) & id)
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177 break;
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178 }
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179
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180 pt[0] = stop_edge;
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181 pt[1] = (pt[0] + 1) % 4;
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182 tmp = fabs (pz[pt[1]]) / fabs (pz[pt[0]]);
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183
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184 if (octave::math::isnan (tmp))
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185 ct_x = ct_y = 0.5;
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186 else
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187 {
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188 ct_x = px[pt[0]] + (px[pt[1]] - px[pt[0]])/(1 + tmp);
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189 ct_y = py[pt[0]] + (py[pt[1]] - py[pt[0]])/(1 + tmp);
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190 }
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191
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192 // Add point to contour.
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193 add_point (ct_x, ct_y);
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194
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195 // Decrease id value of current facet for start edge.
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196 mark(r, c) -= static_cast<char> (1 << stop_edge);
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197
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198 // Find next facet.
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199 if (stop_edge == 0)
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200 r--;
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201 else if (stop_edge == 1)
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202 c++;
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203 else if (stop_edge == 2)
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204 r++;
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205 else if (stop_edge == 3)
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206 c--;
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207
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208 // Go to next facet.
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209 start_edge = (stop_edge + 2) % 4;
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210
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211 }
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212 }
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213
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214 static void
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215 mark_facets (const Matrix& Z, charMatrix& mark, double lvl)
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216 {
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217 unsigned int nr = mark.rows ();
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218 unsigned int nc = mark.cols ();
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219
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220 double f[4];
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221
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222 for (unsigned int c = 0; c < nc; c++)
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223 for (unsigned int r = 0; r < nr; r++)
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224 {
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225 f[0] = Z(r, c) - lvl;
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226 f[1] = Z(r, c+1) - lvl;
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227 f[3] = Z(r+1, c) - lvl;
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228 f[2] = Z(r+1, c+1) - lvl;
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229
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230 for (unsigned int i = 0; i < 4; i++)
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231 if (fabs(f[i]) < std::numeric_limits<double>::epsilon ())
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232 f[i] = std::numeric_limits<double>::epsilon ();
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233
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234 if (f[1] * f[2] < 0)
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235 mark(r, c) += 2;
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236
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237 if (f[0] * f[3] < 0)
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238 mark(r, c) += 8;
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239 }
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240
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241 for (unsigned int r = 0; r < nr; r++)
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242 for (unsigned int c = 0; c < nc; c++)
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243 {
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244 f[0] = Z(r, c) - lvl;
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245 f[1] = Z(r, c+1) - lvl;
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246 f[3] = Z(r+1, c) - lvl;
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247 f[2] = Z(r+1, c+1) - lvl;
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248
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249 for (unsigned int i = 0; i < 4; i++)
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250 if (fabs(f[i]) < std::numeric_limits<double>::epsilon ())
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251 f[i] = std::numeric_limits<double>::epsilon ();
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252
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253 if (f[0] * f[1] < 0)
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254 mark(r, c) += 1;
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255
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256 if (f[2] * f[3] < 0)
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257 mark(r, c) += 4;
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258 }
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259 }
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260
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261 static void
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262 cntr (const RowVector& X, const RowVector& Y, const Matrix& Z, double lvl)
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263 {
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264 unsigned int nr = Z.rows ();
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265 unsigned int nc = Z.cols ();
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266
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267 charMatrix mark (nr - 1, nc - 1, 0);
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268
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269 mark_facets (Z, mark, lvl);
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270
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271 // Find contours that start at a domain edge.
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272
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273 for (unsigned int c = 0; c < nc - 1; c++)
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274 {
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275 // Top.
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276 if (mark(0, c) & 1)
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277 drawcn (X, Y, Z, lvl, 0, c, 0.0, 0.0, 0, true, mark);
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278
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279 // Bottom.
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280 if (mark(nr - 2, c) & 4)
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281 drawcn (X, Y, Z, lvl, nr - 2, c, 0.0, 0.0, 2, true, mark);
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282 }
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283
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284 for (unsigned int r = 0; r < nr - 1; r++)
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285 {
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286 // Left.
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287 if (mark(r, 0) & 8)
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288 drawcn (X, Y, Z, lvl, r, 0, 0.0, 0.0, 3, true, mark);
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289
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290 // Right.
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291 if (mark(r, nc - 2) & 2)
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292 drawcn (X, Y, Z, lvl, r, nc - 2, 0.0, 0.0, 1, true, mark);
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293 }
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294
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295 for (unsigned int r = 0; r < nr - 1; r++)
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296 for (unsigned int c = 0; c < nc - 1; c++)
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297 if (mark (r, c) > 0)
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298 drawcn (X, Y, Z, lvl, r, c, 0.0, 0.0, 255, true, mark);
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299 }
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300
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e753177cde93 maint: Move non-dynamically linked functions from DLD-FUNCTIONS/ to corefcn/ directory
Rik <rik@octave.org>
parents: 14501
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301 DEFUN (__contourc__, args, ,
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112b20240c87 move docstrings in C++ files out of C strings and into comments
John W. Eaton <jwe@octave.org>
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302 doc: /* -*- texinfo -*-
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7bfc454b9e08 contourc.m: Overhaul function.
Rik <rik@octave.org>
parents: 27923
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303 @deftypefn {} {@var{c} =} __contourc__ (@var{x}, @var{y}, @var{z}, @var{levels})
7bfc454b9e08 contourc.m: Overhaul function.
Rik <rik@octave.org>
parents: 27923
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304 Calculate Z-level contours (isolines).
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305 @end deftypefn */)
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306 {
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307 RowVector X = args(0).row_vector_value ();
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308 RowVector Y = args(1).row_vector_value ();
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309 Matrix Z = args(2).matrix_value ();
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310 RowVector L = args(3).row_vector_value ();
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311
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312 contourc.resize (2, 0);
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313
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314 for (int i = 0; i < L.numel (); i++)
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Rik <rik@octave.org>
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315 cntr (X, Y, Z, L(i));
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316
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317 end_contour ();
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318
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319 return octave_value (contourc);
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320 }
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3641167e5b75 codesprint: *.cc helper functions do not need tests
Rik <octave@nomad.inbox5.com>
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321
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322 /*
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323 ## No test needed for internal helper function.
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324 %!assert (1)
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325 */