Mercurial > octave
annotate libinterp/corefcn/__contourc__.cc @ 29278:7bfc454b9e08
contourc.m: Overhaul function.
* contourc.m: Update calling forms of function in documentation.
Wrap documentation to 80 characters. Add input validation that X,Y,Z
be real. Rename internal variable vv to output variable lev. Rename
internal variable cdat to output variable c. Remove test for nargout > 0
before transferring internal variables to output which prevented 'ans'
from being assigned. Add BIST tests for new input validation and update
existing BIST tests to pass.
* _contourc__.cc: Use Octave convention of cuddling parenthesis to indicate
indexing.
* _contourc__.cc (__contourc__): Add Texinfo description of function.
Remove input validation which is not necessary for internal function.
author | Rik <rik@octave.org> |
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date | Thu, 07 Jan 2021 11:11:39 -0800 |
parents | bd51beb6205e |
children | 7854d5752dd2 |
rev | line source |
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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) 2001-2020 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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40 #if defined (HAVE_CONFIG_H) |
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41 # include "config.h" |
6257 | 42 #endif |
43 | |
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44 #include <limits> |
6257 | 45 |
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46 #include "defun.h" |
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47 #include "ov.h" |
6257 | 48 |
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49 // FIXME: this looks like trouble... |
6257 | 50 static Matrix this_contour; |
51 static Matrix contourc; | |
52 static int elem; | |
53 | |
7042 | 54 // This is the quanta in which we increase this_contour. |
6257 | 55 #define CONTOUR_QUANT 50 |
56 | |
7042 | 57 // Add a coordinate point (x,y) to this_contour. |
6257 | 58 static void |
7042 | 59 add_point (double x, double y) |
6257 | 60 { |
61 if (elem % CONTOUR_QUANT == 0) | |
62 this_contour = this_contour.append (Matrix (2, CONTOUR_QUANT, 0)); | |
63 | |
29278 | 64 this_contour(0, elem) = x; |
65 this_contour(1, elem) = y; | |
6257 | 66 elem++; |
67 } | |
68 | |
7042 | 69 // Add contents of current contour to contourc. |
6257 | 70 // this_contour.cols () - 1; |
71 static void | |
7042 | 72 end_contour (void) |
6257 | 73 { |
74 if (elem > 2) | |
75 { | |
29278 | 76 this_contour(1, 0) = elem - 1; |
6257 | 77 contourc = contourc.append (this_contour.extract_n (0, 0, 2, elem)); |
78 } | |
7042 | 79 |
6257 | 80 this_contour = Matrix (); |
81 elem = 0; | |
82 } | |
83 | |
7042 | 84 // Start a new contour, and add contents of current one to contourc. |
6257 | 85 |
86 static void | |
7042 | 87 start_contour (double lvl, double x, double y) |
6257 | 88 { |
7042 | 89 end_contour (); |
6257 | 90 this_contour.resize (2, 0); |
7042 | 91 add_point (lvl, 0); |
92 add_point (x, y); | |
6257 | 93 } |
94 | |
95 static void | |
7042 | 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) |
6257 | 99 { |
7042 | 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 { |
6257 | 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); |
6257 | 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; |
6257 | 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-. |
6257 | 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 } |
6257 | 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); |
7042 | 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]]); |
6257 | 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 } |
7042 | 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 } |
6257 | 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; |
7042 | 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; |
7042 | 182 tmp = fabs (pz[pt[1]]) / fabs (pz[pt[0]]); |
183 | |
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184 if (octave::math::isnan (tmp)) |
7042 | 185 ct_x = ct_y = 0.5; |
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 } |
7042 | 191 |
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192 // Add point to contour. |
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193 add_point (ct_x, ct_y); |
7042 | 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); |
6257 | 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--; |
7042 | 207 |
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208 // Go to next facet. |
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209 start_edge = (stop_edge + 2) % 4; |
7042 | 210 |
6257 | 211 } |
212 } | |
213 | |
214 static void | |
7042 | 215 mark_facets (const Matrix& Z, charMatrix& mark, double lvl) |
6257 | 216 { |
7070 | 217 unsigned int nr = mark.rows (); |
218 unsigned int nc = mark.cols (); | |
7042 | 219 |
220 double f[4]; | |
221 | |
7070 | 222 for (unsigned int c = 0; c < nc; c++) |
223 for (unsigned int r = 0; r < nr; r++) | |
7042 | 224 { |
225 f[0] = Z(r, c) - lvl; | |
226 f[1] = Z(r, c+1) - lvl; | |
227 f[3] = Z(r+1, c) - lvl; | |
228 f[2] = Z(r+1, c+1) - lvl; | |
229 | |
7070 | 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 (); |
7042 | 233 |
234 if (f[1] * f[2] < 0) | |
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235 mark(r, c) += 2; |
7042 | 236 |
237 if (f[0] * f[3] < 0) | |
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238 mark(r, c) += 8; |
7042 | 239 } |
6257 | 240 |
7070 | 241 for (unsigned int r = 0; r < nr; r++) |
242 for (unsigned int c = 0; c < nc; c++) | |
7042 | 243 { |
244 f[0] = Z(r, c) - lvl; | |
245 f[1] = Z(r, c+1) - lvl; | |
246 f[3] = Z(r+1, c) - lvl; | |
247 f[2] = Z(r+1, c+1) - lvl; | |
248 | |
7070 | 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 (); |
7042 | 252 |
253 if (f[0] * f[1] < 0) | |
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254 mark(r, c) += 1; |
7042 | 255 |
256 if (f[2] * f[3] < 0) | |
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257 mark(r, c) += 4; |
7042 | 258 } |
259 } | |
260 | |
261 static void | |
262 cntr (const RowVector& X, const RowVector& Y, const Matrix& Z, double lvl) | |
263 { | |
7070 | 264 unsigned int nr = Z.rows (); |
265 unsigned int nc = Z.cols (); | |
7042 | 266 |
267 charMatrix mark (nr - 1, nc - 1, 0); | |
268 | |
269 mark_facets (Z, mark, lvl); | |
270 | |
271 // Find contours that start at a domain edge. | |
272 | |
7070 | 273 for (unsigned int c = 0; c < nc - 1; c++) |
6257 | 274 { |
7042 | 275 // Top. |
276 if (mark(0, c) & 1) | |
277 drawcn (X, Y, Z, lvl, 0, c, 0.0, 0.0, 0, true, mark); | |
278 | |
279 // Bottom. | |
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); |
6257 | 282 } |
7042 | 283 |
7070 | 284 for (unsigned int r = 0; r < nr - 1; r++) |
7042 | 285 { |
286 // Left. | |
287 if (mark(r, 0) & 8) | |
288 drawcn (X, Y, Z, lvl, r, 0, 0.0, 0.0, 3, true, mark); | |
289 | |
290 // Right. | |
291 if (mark(r, nc - 2) & 2) | |
292 drawcn (X, Y, Z, lvl, r, nc - 2, 0.0, 0.0, 1, true, mark); | |
293 } | |
294 | |
7070 | 295 for (unsigned int r = 0; r < nr - 1; r++) |
296 for (unsigned int c = 0; c < nc - 1; c++) | |
7042 | 297 if (mark (r, c) > 0) |
298 drawcn (X, Y, Z, lvl, r, c, 0.0, 0.0, 255, true, mark); | |
6257 | 299 } |
300 | |
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301 DEFUN (__contourc__, args, , |
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302 doc: /* -*- texinfo -*- |
29278 | 303 @deftypefn {} {@var{c} =} __contourc__ (@var{x}, @var{y}, @var{z}, @var{levels}) |
304 Calculate Z-level contours (isolines). | |
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305 @end deftypefn */) |
6257 | 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++) |
29278 | 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); |
6257 | 320 } |
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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 */ |