1 | /* -*- mode: C++ ; c-file-style: "stroustrup" -*- *****************************
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2 | * Qwt Widget Library
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3 | * Copyright (C) 1997 Josef Wilgen
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4 | * Copyright (C) 2002 Uwe Rathmann
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5 | *
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6 | * This library is free software; you can redistribute it and/or
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7 | * modify it under the terms of the Qwt License, Version 1.0
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8 | *****************************************************************************/
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9 |
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10 | #include "qwt_raster_data.h"
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11 | #include "qwt_point_3d.h"
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12 | #include <qnumeric.h>
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13 |
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14 | class QwtRasterData::ContourPlane
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15 | {
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16 | public:
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17 | inline ContourPlane( double z ):
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18 | d_z( z )
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19 | {
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20 | }
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21 |
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22 | inline bool intersect( const QwtPoint3D vertex[3],
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23 | QPointF line[2], bool ignoreOnPlane ) const;
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24 |
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25 | inline double z() const { return d_z; }
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26 |
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27 | private:
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28 | inline int compare( double z ) const;
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29 | inline QPointF intersection(
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30 | const QwtPoint3D& p1, const QwtPoint3D &p2 ) const;
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31 |
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32 | double d_z;
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33 | };
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34 |
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35 | inline bool QwtRasterData::ContourPlane::intersect(
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36 | const QwtPoint3D vertex[3], QPointF line[2],
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37 | bool ignoreOnPlane ) const
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38 | {
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39 | bool found = true;
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40 |
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41 | // Are the vertices below (-1), on (0) or above (1) the plan ?
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42 | const int eq1 = compare( vertex[0].z() );
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43 | const int eq2 = compare( vertex[1].z() );
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44 | const int eq3 = compare( vertex[2].z() );
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45 |
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46 | /*
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47 | (a) All the vertices lie below the contour level.
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48 | (b) Two vertices lie below and one on the contour level.
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49 | (c) Two vertices lie below and one above the contour level.
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50 | (d) One vertex lies below and two on the contour level.
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51 | (e) One vertex lies below, one on and one above the contour level.
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52 | (f) One vertex lies below and two above the contour level.
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53 | (g) Three vertices lie on the contour level.
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54 | (h) Two vertices lie on and one above the contour level.
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55 | (i) One vertex lies on and two above the contour level.
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56 | (j) All the vertices lie above the contour level.
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57 | */
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58 |
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59 | static const int tab[3][3][3] =
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60 | {
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61 | // jump table to avoid nested case statements
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62 | { { 0, 0, 8 }, { 0, 2, 5 }, { 7, 6, 9 } },
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63 | { { 0, 3, 4 }, { 1, 10, 1 }, { 4, 3, 0 } },
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64 | { { 9, 6, 7 }, { 5, 2, 0 }, { 8, 0, 0 } }
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65 | };
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66 |
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67 | const int edgeType = tab[eq1+1][eq2+1][eq3+1];
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68 | switch ( edgeType )
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69 | {
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70 | case 1:
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71 | // d(0,0,-1), h(0,0,1)
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72 | line[0] = vertex[0].toPoint();
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73 | line[1] = vertex[1].toPoint();
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74 | break;
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75 | case 2:
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76 | // d(-1,0,0), h(1,0,0)
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77 | line[0] = vertex[1].toPoint();
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78 | line[1] = vertex[2].toPoint();
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79 | break;
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80 | case 3:
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81 | // d(0,-1,0), h(0,1,0)
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82 | line[0] = vertex[2].toPoint();
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83 | line[1] = vertex[0].toPoint();
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84 | break;
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85 | case 4:
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86 | // e(0,-1,1), e(0,1,-1)
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87 | line[0] = vertex[0].toPoint();
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88 | line[1] = intersection( vertex[1], vertex[2] );
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89 | break;
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90 | case 5:
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91 | // e(-1,0,1), e(1,0,-1)
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92 | line[0] = vertex[1].toPoint();
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93 | line[1] = intersection( vertex[2], vertex[0] );
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94 | break;
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95 | case 6:
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96 | // e(-1,1,0), e(1,0,-1)
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97 | line[0] = vertex[2].toPoint();
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98 | line[1] = intersection( vertex[0], vertex[1] );
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99 | break;
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100 | case 7:
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101 | // c(-1,1,-1), f(1,1,-1)
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102 | line[0] = intersection( vertex[0], vertex[1] );
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103 | line[1] = intersection( vertex[1], vertex[2] );
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104 | break;
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105 | case 8:
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106 | // c(-1,-1,1), f(1,1,-1)
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107 | line[0] = intersection( vertex[1], vertex[2] );
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108 | line[1] = intersection( vertex[2], vertex[0] );
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109 | break;
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110 | case 9:
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111 | // f(-1,1,1), c(1,-1,-1)
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112 | line[0] = intersection( vertex[2], vertex[0] );
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113 | line[1] = intersection( vertex[0], vertex[1] );
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114 | break;
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115 | case 10:
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116 | // g(0,0,0)
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117 | // The CONREC algorithm has no satisfying solution for
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118 | // what to do, when all vertices are on the plane.
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119 |
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120 | if ( ignoreOnPlane )
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121 | found = false;
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122 | else
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123 | {
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124 | line[0] = vertex[2].toPoint();
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125 | line[1] = vertex[0].toPoint();
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126 | }
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127 | break;
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128 | default:
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129 | found = false;
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130 | }
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131 |
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132 | return found;
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133 | }
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134 |
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135 | inline int QwtRasterData::ContourPlane::compare( double z ) const
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136 | {
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137 | if ( z > d_z )
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138 | return 1;
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139 |
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140 | if ( z < d_z )
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141 | return -1;
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142 |
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143 | return 0;
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144 | }
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145 |
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146 | inline QPointF QwtRasterData::ContourPlane::intersection(
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147 | const QwtPoint3D& p1, const QwtPoint3D &p2 ) const
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148 | {
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149 | const double h1 = p1.z() - d_z;
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150 | const double h2 = p2.z() - d_z;
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151 |
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152 | const double x = ( h2 * p1.x() - h1 * p2.x() ) / ( h2 - h1 );
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153 | const double y = ( h2 * p1.y() - h1 * p2.y() ) / ( h2 - h1 );
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154 |
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155 | return QPointF( x, y );
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156 | }
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157 |
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158 | //! Constructor
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159 | QwtRasterData::QwtRasterData()
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160 | {
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161 | }
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162 |
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163 | //! Destructor
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164 | QwtRasterData::~QwtRasterData()
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165 | {
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166 | }
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167 |
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168 | /*!
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169 | Set the bounding interval for the x, y or z coordinates.
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170 |
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171 | \param axis Axis
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172 | \param interval Bounding interval
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173 |
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174 | \sa interval()
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175 | */
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176 | void QwtRasterData::setInterval( Qt::Axis axis, const QwtInterval &interval )
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177 | {
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178 | d_intervals[axis] = interval;
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179 | }
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180 |
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181 | /*!
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182 | \brief Initialize a raster
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183 |
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184 | Before the composition of an image QwtPlotSpectrogram calls initRaster(),
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185 | announcing the area and its resolution that will be requested.
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186 |
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187 | The default implementation does nothing, but for data sets that
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188 | are stored in files, it might be good idea to reimplement initRaster(),
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189 | where the data is resampled and loaded into memory.
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190 |
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191 | \param area Area of the raster
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192 | \param raster Number of horizontal and vertical pixels
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193 |
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194 | \sa initRaster(), value()
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195 | */
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196 | void QwtRasterData::initRaster( const QRectF &area, const QSize &raster )
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197 | {
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198 | Q_UNUSED( area );
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199 | Q_UNUSED( raster );
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200 | }
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201 |
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202 | /*!
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203 | \brief Discard a raster
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204 |
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205 | After the composition of an image QwtPlotSpectrogram calls discardRaster().
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206 |
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207 | The default implementation does nothing, but if data has been loaded
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208 | in initRaster(), it could deleted now.
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209 |
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210 | \sa initRaster(), value()
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211 | */
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212 | void QwtRasterData::discardRaster()
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213 | {
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214 | }
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215 |
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216 | /*!
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217 | \brief Pixel hint
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218 |
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219 | pixelHint() returns the geometry of a pixel, that can be used
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220 | to calculate the resolution and alignment of the plot item, that is
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221 | representing the data.
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222 |
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223 | Width and height of the hint need to be the horizontal
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224 | and vertical distances between 2 neighbored points.
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225 | The center of the hint has to be the position of any point
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226 | ( it doesn't matter which one ).
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227 |
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228 | An empty hint indicates, that there are values for any detail level.
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229 |
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230 | Limiting the resolution of the image might significantly improve
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231 | the performance and heavily reduce the amount of memory when rendering
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232 | a QImage from the raster data.
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233 |
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234 | The default implementation returns an empty rectangle recommending
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235 | to render in target device ( f.e. screen ) resolution.
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236 |
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237 | \param area In most implementations the resolution of the data doesn't
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238 | depend on the requested area.
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239 |
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240 | \return Bounding rectangle of a pixel
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241 | */
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242 | QRectF QwtRasterData::pixelHint( const QRectF &area ) const
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243 | {
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244 | Q_UNUSED( area );
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245 | return QRectF();
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246 | }
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247 |
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248 | /*!
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249 | Calculate contour lines
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250 |
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251 | \param rect Bounding rectangle for the contour lines
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252 | \param raster Number of data pixels of the raster data
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253 | \param levels List of limits, where to insert contour lines
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254 | \param flags Flags to customize the contouring algorithm
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255 |
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256 | \return Calculated contour lines
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257 |
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258 | An adaption of CONREC, a simple contouring algorithm.
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259 | http://local.wasp.uwa.edu.au/~pbourke/papers/conrec/
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260 | */
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261 | QwtRasterData::ContourLines QwtRasterData::contourLines(
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262 | const QRectF &rect, const QSize &raster,
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263 | const QList<double> &levels, ConrecFlags flags ) const
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264 | {
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265 | ContourLines contourLines;
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266 |
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267 | if ( levels.size() == 0 || !rect.isValid() || !raster.isValid() )
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268 | return contourLines;
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269 |
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270 | const double dx = rect.width() / raster.width();
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271 | const double dy = rect.height() / raster.height();
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272 |
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273 | const bool ignoreOnPlane =
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274 | flags & QwtRasterData::IgnoreAllVerticesOnLevel;
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275 |
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276 | const QwtInterval range = interval( Qt::ZAxis );
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277 | bool ignoreOutOfRange = false;
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278 | if ( range.isValid() )
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279 | ignoreOutOfRange = flags & IgnoreOutOfRange;
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280 |
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281 | QwtRasterData *that = const_cast<QwtRasterData *>( this );
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282 | that->initRaster( rect, raster );
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283 |
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284 | for ( int y = 0; y < raster.height() - 1; y++ )
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285 | {
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286 | enum Position
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287 | {
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288 | Center,
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289 |
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290 | TopLeft,
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291 | TopRight,
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292 | BottomRight,
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293 | BottomLeft,
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294 |
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295 | NumPositions
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296 | };
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297 |
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298 | QwtPoint3D xy[NumPositions];
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299 |
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300 | for ( int x = 0; x < raster.width() - 1; x++ )
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301 | {
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302 | const QPointF pos( rect.x() + x * dx, rect.y() + y * dy );
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303 |
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304 | if ( x == 0 )
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305 | {
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306 | xy[TopRight].setX( pos.x() );
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307 | xy[TopRight].setY( pos.y() );
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308 | xy[TopRight].setZ(
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309 | value( xy[TopRight].x(), xy[TopRight].y() )
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310 | );
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311 |
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312 | xy[BottomRight].setX( pos.x() );
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313 | xy[BottomRight].setY( pos.y() + dy );
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314 | xy[BottomRight].setZ(
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315 | value( xy[BottomRight].x(), xy[BottomRight].y() )
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316 | );
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317 | }
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318 |
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319 | xy[TopLeft] = xy[TopRight];
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320 | xy[BottomLeft] = xy[BottomRight];
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321 |
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322 | xy[TopRight].setX( pos.x() + dx );
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323 | xy[TopRight].setY( pos.y() );
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324 | xy[BottomRight].setX( pos.x() + dx );
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325 | xy[BottomRight].setY( pos.y() + dy );
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326 |
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327 | xy[TopRight].setZ(
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328 | value( xy[TopRight].x(), xy[TopRight].y() )
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329 | );
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330 | xy[BottomRight].setZ(
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331 | value( xy[BottomRight].x(), xy[BottomRight].y() )
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332 | );
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333 |
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334 | double zMin = xy[TopLeft].z();
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335 | double zMax = zMin;
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336 | double zSum = zMin;
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337 |
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338 | for ( int i = TopRight; i <= BottomLeft; i++ )
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339 | {
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340 | const double z = xy[i].z();
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341 |
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342 | zSum += z;
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343 | if ( z < zMin )
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344 | zMin = z;
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345 | if ( z > zMax )
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346 | zMax = z;
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347 | }
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348 |
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349 | if ( qIsNaN( zSum ) )
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350 | {
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351 | // one of the points is NaN
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352 | continue;
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353 | }
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354 |
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355 | if ( ignoreOutOfRange )
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356 | {
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357 | if ( !range.contains( zMin ) || !range.contains( zMax ) )
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358 | continue;
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359 | }
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360 |
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361 | if ( zMax < levels[0] ||
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362 | zMin > levels[levels.size() - 1] )
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363 | {
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364 | continue;
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365 | }
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366 |
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367 | xy[Center].setX( pos.x() + 0.5 * dx );
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368 | xy[Center].setY( pos.y() + 0.5 * dy );
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369 | xy[Center].setZ( 0.25 * zSum );
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370 |
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371 | const int numLevels = levels.size();
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372 | for ( int l = 0; l < numLevels; l++ )
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373 | {
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374 | const double level = levels[l];
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375 | if ( level < zMin || level > zMax )
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376 | continue;
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377 | QPolygonF &lines = contourLines[level];
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378 | const ContourPlane plane( level );
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379 |
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380 | QPointF line[2];
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381 | QwtPoint3D vertex[3];
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382 |
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383 | for ( int m = TopLeft; m < NumPositions; m++ )
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384 | {
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385 | vertex[0] = xy[m];
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386 | vertex[1] = xy[0];
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387 | vertex[2] = xy[m != BottomLeft ? m + 1 : TopLeft];
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388 |
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389 | const bool intersects =
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390 | plane.intersect( vertex, line, ignoreOnPlane );
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391 | if ( intersects )
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392 | {
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393 | lines += line[0];
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394 | lines += line[1];
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395 | }
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396 | }
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397 | }
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398 | }
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399 | }
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400 |
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401 | that->discardRaster();
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402 |
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403 | return contourLines;
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404 | }
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