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<div class="title">GeometryStrategyAbstractBase.cpp</div>  </div>
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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment">/******************************************************************************************************</span></div><div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment"> * (C) 2016 markummitchell@github.com. This file is part of Engauge Digitizer, which is released      *</span></div><div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment"> * under GNU General Public License version 2 (GPLv2) or (at your option) any later version. See file *</span></div><div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment"> * LICENSE or go to gnu.org/licenses for details. Distribution requires prior written permission.     *</span></div><div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment"> ******************************************************************************************************/</span></div><div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;</div><div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &quot;EngaugeAssert.h&quot;</span></div><div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &quot;FormatCoordsUnits.h&quot;</span></div><div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &quot;GeometryStrategyAbstractBase.h&quot;</span></div><div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;qmath.h&gt;</span></div><div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;QPointF&gt;</span></div><div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &quot;Spline.h&quot;</span></div><div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &quot;SplinePair.h&quot;</span></div><div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &quot;Transformation.h&quot;</span></div><div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div><div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;</div><div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="keyword">using namespace </span><a class="code" href="namespacestd.html">std</a>;</div><div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;</div><div class="line"><a name="l00019"></a><span class="lineno"><a class="line" href="classGeometryStrategyAbstractBase.html#ac56c910894be58c0824902130024853f">   19</a></span>&#160;<a class="code" href="classGeometryStrategyAbstractBase.html#ac56c910894be58c0824902130024853f">GeometryStrategyAbstractBase::GeometryStrategyAbstractBase</a>()</div><div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;{</div><div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;}</div><div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;</div><div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;GeometryStrategyAbstractBase::~GeometryStrategyAbstractBase()</div><div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;{</div><div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;}</div><div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;</div><div class="line"><a name="l00027"></a><span class="lineno"><a class="line" href="classGeometryStrategyAbstractBase.html#a9033de2fd2f8088aa7d9688d17e503c8">   27</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="classGeometryStrategyAbstractBase.html#a9033de2fd2f8088aa7d9688d17e503c8">GeometryStrategyAbstractBase::calculatePositionsGraph</a> (<span class="keyword">const</span> Points &amp;points,</div><div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;                                                            <span class="keyword">const</span> <a class="code" href="classTransformation.html">Transformation</a> &amp;transformation,</div><div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;                                                            QVector&lt;QPointF&gt; &amp;positionsGraph)<span class="keyword"> const</span></div><div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;<span class="keyword"></span>{</div><div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;  positionsGraph.clear();</div><div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div><div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; points.size(); i++) {</div><div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;    <span class="keyword">const</span> <a class="code" href="classPoint.html">Point</a> &amp;pointScreen = points [i];</div><div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;    QPointF posScreen = pointScreen.<a class="code" href="classPoint.html#a7a10394ed496307f890f7c64520149f5">posScreen</a> ();</div><div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;    QPointF posGraph;</div><div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;</div><div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;    transformation.<a class="code" href="classTransformation.html#a52c9e6ea2fb295b91625779be3f3c444">transformScreenToRawGraph</a> (posScreen,</div><div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;                                              posGraph);</div><div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;</div><div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;    positionsGraph.push_back (posGraph);</div><div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;  }</div><div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;}</div><div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;</div><div class="line"><a name="l00045"></a><span class="lineno"><a class="line" href="classGeometryStrategyAbstractBase.html#aac895dd50cdf1d8efe7543af53b63344">   45</a></span>&#160;<span class="keywordtype">double</span> <a class="code" href="classGeometryStrategyAbstractBase.html#aac895dd50cdf1d8efe7543af53b63344">GeometryStrategyAbstractBase::functionArea</a> (<span class="keyword">const</span> QVector&lt;QPointF&gt; &amp;positionsGraph)<span class="keyword"> const</span></div><div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;<span class="keyword"></span>{</div><div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;  <span class="comment">// Integrate using trapezoidal approximation to get the area under the function</span></div><div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;  <span class="keywordtype">double</span> sum = 0, xLast = 0, yLast = 0;</div><div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 1; i &lt; positionsGraph.size (); i++) {</div><div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;    <span class="keywordtype">double</span> x = positionsGraph [i].x();</div><div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;    <span class="keywordtype">double</span> y = positionsGraph [i].y();</div><div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;    <span class="keywordtype">double</span> area = 0.5 * (y + yLast) * (x - xLast);</div><div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;    sum += area;</div><div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;    xLast = x;</div><div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;    yLast = y;</div><div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;  }</div><div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;</div><div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;  <span class="keywordflow">return</span> sum;</div><div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;}</div><div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;</div><div class="line"><a name="l00061"></a><span class="lineno"><a class="line" href="classGeometryStrategyAbstractBase.html#a8d5881a2e283b66a5815edfabc08b7b7">   61</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="classGeometryStrategyAbstractBase.html#a8d5881a2e283b66a5815edfabc08b7b7">GeometryStrategyAbstractBase::insertSubintervalsAndLoadDistances</a> (<span class="keywordtype">int</span> subintervalsPerInterval,</div><div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;                                                                       <span class="keyword">const</span> QVector&lt;QPointF&gt; &amp;positionsGraph,</div><div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;                                                                       QVector&lt;QPointF&gt; &amp;positionsGraphWithSubintervals,</div><div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;                                                                       QVector&lt;QString&gt; &amp;distanceGraphForward,</div><div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;                                                                       QVector&lt;QString&gt; &amp;distancePercentForward,</div><div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;                                                                       QVector&lt;QString&gt; &amp;distanceGraphBackward,</div><div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;                                                                       QVector&lt;QString&gt; &amp;distancePercentBackward)<span class="keyword"> const</span></div><div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;<span class="keyword"></span>{</div><div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;  <span class="keywordflow">if</span> (positionsGraph.size () &gt; 0) {</div><div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;</div><div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;    <span class="keywordtype">int</span> i;</div><div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;</div><div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;    <span class="comment">// Fit splines to the points</span></div><div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;    vector&lt;double&gt; t;</div><div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;    vector&lt;SplinePair&gt; xy;</div><div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;    <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; positionsGraph.size (); i++) {</div><div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      t.push_back ((<span class="keywordtype">double</span>) i);</div><div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      xy.push_back (<a class="code" href="classSplinePair.html">SplinePair</a> (positionsGraph [i].x(),</div><div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;                                positionsGraph [i].y()));</div><div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;    }</div><div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;</div><div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;    <a class="code" href="classSpline.html">Spline</a> spline (t,</div><div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;                   xy);</div><div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;</div><div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;    <span class="comment">// Loop over the original points, with one original point per original interval</span></div><div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;    QVector&lt;double&gt; distanceGraphDouble;</div><div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;    <span class="keywordtype">double</span> xLast = 0, yLast = 0, distance = 0;</div><div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;    <span class="keywordflow">for</span> (i = 0; i &lt; positionsGraph.size(); i++) {</div><div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;</div><div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;      <span class="comment">// In the interval i-1 to i we insert points to create smaller subintervals</span></div><div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">int</span> subinterval = 0; subinterval &lt; subintervalsPerInterval; subinterval++) {</div><div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;</div><div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;        <span class="comment">// Go from i-1 (exclusive) to i (inclusive)</span></div><div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;        <span class="keywordtype">double</span> t = (double) (i - 1.0) + (double) (subinterval + 1) / (double) (subintervalsPerInterval);</div><div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;</div><div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;        <a class="code" href="classSplinePair.html">SplinePair</a> splinePair = spline.<a class="code" href="classSpline.html#aee93a813e8cd326df64b601836baafef">interpolateCoeff</a> (t);</div><div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;</div><div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;        <span class="keywordtype">double</span> x = splinePair.<a class="code" href="classSplinePair.html#a15ed2885edcdbe91f83c172f76b7f9b0">x</a> ();</div><div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;        <span class="keywordtype">double</span> y = splinePair.<a class="code" href="classSplinePair.html#a0f425a4a773b7611e11ce422b5149364">y</a> ();</div><div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;</div><div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;        <span class="comment">// All points from intervals where i&gt;0, and last point from interval i=0</span></div><div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;        <span class="keywordflow">if</span> (i &gt; 0 || subinterval == subintervalsPerInterval - 1) {</div><div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;</div><div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;          <span class="comment">// Insert one of several new points for each original point</span></div><div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;          positionsGraphWithSubintervals.push_back (QPointF (x, y));</div><div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;</div><div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;        }</div><div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;</div><div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;        <span class="keywordflow">if</span> (i &gt; 0) {</div><div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;</div><div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;          <span class="comment">// Add to cumulative distance</span></div><div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;          distance += qSqrt ((x - xLast) * (x - xLast) + (y - yLast) * (y - yLast));</div><div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;</div><div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;        }</div><div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;</div><div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;        xLast = x;</div><div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;        yLast = y;</div><div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;      }</div><div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;</div><div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;      <span class="comment">// Insert one distance entry for each original point</span></div><div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;      distanceGraphDouble.push_back (distance);</div><div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;    }</div><div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;</div><div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;    <span class="comment">// Compute distance columns</span></div><div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;    <span class="keywordtype">double</span> dTotal = qMax (1.0, distanceGraphDouble [distanceGraphDouble.size() - 1]); <span class="comment">// qMax prevents divide by zero</span></div><div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;    <span class="keywordflow">for</span> (i = 0; i &lt; distanceGraphDouble.size (); i++) {</div><div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;      <span class="keywordtype">double</span> d = distanceGraphDouble [i];</div><div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;      distanceGraphForward.push_back (QString::number (d));</div><div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;      distancePercentForward.push_back (QString::number (100.0 * d / dTotal));</div><div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;      distanceGraphBackward.push_back (QString::number (dTotal - d));</div><div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;      distancePercentBackward.push_back (QString::number (100.0 * (dTotal - d) / dTotal));</div><div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;    }</div><div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;  }</div><div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;}</div><div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;</div><div class="line"><a name="l00136"></a><span class="lineno"><a class="line" href="classGeometryStrategyAbstractBase.html#a8b0284b4f993969a1c947579622d8638">  136</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="classGeometryStrategyAbstractBase.html#a8b0284b4f993969a1c947579622d8638">GeometryStrategyAbstractBase::loadXY</a> (<span class="keyword">const</span> QVector&lt;QPointF&gt; &amp;positionsGraph,</div><div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;                                           <span class="keyword">const</span> <a class="code" href="classDocumentModelCoords.html">DocumentModelCoords</a> &amp;modelCoords,</div><div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;                                           <span class="keyword">const</span> <a class="code" href="classDocumentModelGeneral.html">DocumentModelGeneral</a> &amp;modelGeneral,</div><div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;                                           <span class="keyword">const</span> <a class="code" href="classMainWindowModel.html">MainWindowModel</a> &amp;modelMainWindow,</div><div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;                                           <span class="keyword">const</span> <a class="code" href="classTransformation.html">Transformation</a> &amp;transformation,</div><div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;                                           QVector&lt;QString&gt; &amp;x,</div><div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;                                           QVector&lt;QString&gt; &amp;y)<span class="keyword"> const</span></div><div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;<span class="keyword"></span>{</div><div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;  <a class="code" href="classFormatCoordsUnits.html">FormatCoordsUnits</a> formatCoordsUnits;</div><div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;</div><div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; positionsGraph.size(); i++) {</div><div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;</div><div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;    <span class="keywordtype">double</span> xI = positionsGraph [i].x();</div><div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;    <span class="keywordtype">double</span> yI = positionsGraph [i].y();</div><div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;</div><div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;    QString xFormatted, yFormatted;</div><div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;    formatCoordsUnits.<a class="code" href="classFormatCoordsUnits.html#a73a6b88cf7f4f1d28256399a20f71ff8">unformattedToFormatted</a> (xI,</div><div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;                                              yI,</div><div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;                                              modelCoords,</div><div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;                                              modelGeneral,</div><div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;                                              modelMainWindow,</div><div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;                                              xFormatted,</div><div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;                                              yFormatted,</div><div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;                                              transformation);</div><div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;    x.push_back (xFormatted);</div><div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;    y.push_back (yFormatted);</div><div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;</div><div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;  }</div><div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;}</div><div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;</div><div class="line"><a name="l00166"></a><span class="lineno"><a class="line" href="classGeometryStrategyAbstractBase.html#a5e68adc0efcc5b27550763f00d62f1e1">  166</a></span>&#160;<span class="keywordtype">double</span> <a class="code" href="classGeometryStrategyAbstractBase.html#a5e68adc0efcc5b27550763f00d62f1e1">GeometryStrategyAbstractBase::polygonAreaForSimplyConnected</a> (<span class="keyword">const</span> QVector&lt;QPointF&gt; &amp;points)<span class="keyword"> const</span></div><div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;<span class="keyword"></span>{</div><div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;  <span class="comment">// Shoelace formula</span></div><div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;  <span class="keywordtype">int</span> N = points.size ();</div><div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;</div><div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;  <span class="keywordtype">double</span> sum = 0.0;</div><div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;  <span class="keywordflow">if</span> (N &gt; 0) {</div><div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;</div><div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;</div><div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;    <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; N - 1; i++) {</div><div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;      sum += points [i].x() * points [i + 1].y() - points [i + 1].x() * points [i].y();</div><div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;    }</div><div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;</div><div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;    sum += points [N  - 1].x() * points [0].y() - points [0].x() * points [N - 1].y ();</div><div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;  }</div><div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;</div><div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;  <span class="keywordflow">return</span> qAbs (sum) / 2.0;</div><div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;}</div><div class="ttc" id="classDocumentModelGeneral_html"><div class="ttname"><a href="classDocumentModelGeneral.html">DocumentModelGeneral</a></div><div class="ttdoc">Model for DlgSettingsGeneral and CmdSettingsGeneral. </div><div class="ttdef"><b>Definition:</b> <a href="DocumentModelGeneral_8h_source.html#l00016">DocumentModelGeneral.h:16</a></div></div>
<div class="ttc" id="classGeometryStrategyAbstractBase_html_aac895dd50cdf1d8efe7543af53b63344"><div class="ttname"><a href="classGeometryStrategyAbstractBase.html#aac895dd50cdf1d8efe7543af53b63344">GeometryStrategyAbstractBase::functionArea</a></div><div class="ttdeci">double functionArea(const QVector&lt; QPointF &gt; &amp;positionsGraph) const</div><div class="ttdoc">Use trapezoidal approximation to compute area under the function. Does not apply to relation...</div><div class="ttdef"><b>Definition:</b> <a href="GeometryStrategyAbstractBase_8cpp_source.html#l00045">GeometryStrategyAbstractBase.cpp:45</a></div></div>
<div class="ttc" id="classGeometryStrategyAbstractBase_html_a9033de2fd2f8088aa7d9688d17e503c8"><div class="ttname"><a href="classGeometryStrategyAbstractBase.html#a9033de2fd2f8088aa7d9688d17e503c8">GeometryStrategyAbstractBase::calculatePositionsGraph</a></div><div class="ttdeci">void calculatePositionsGraph(const Points &amp;points, const Transformation &amp;transformation, QVector&lt; QPointF &gt; &amp;positionsGraph) const</div><div class="ttdoc">Convert screen positions to graph positions. </div><div class="ttdef"><b>Definition:</b> <a href="GeometryStrategyAbstractBase_8cpp_source.html#l00027">GeometryStrategyAbstractBase.cpp:27</a></div></div>
<div class="ttc" id="classSpline_html"><div class="ttname"><a href="classSpline.html">Spline</a></div><div class="ttdoc">Cubic interpolation given independent and dependent value vectors. </div><div class="ttdef"><b>Definition:</b> <a href="Spline_8h_source.html#l00021">Spline.h:21</a></div></div>
<div class="ttc" id="classSpline_html_aee93a813e8cd326df64b601836baafef"><div class="ttname"><a href="classSpline.html#aee93a813e8cd326df64b601836baafef">Spline::interpolateCoeff</a></div><div class="ttdeci">SplinePair interpolateCoeff(double t) const</div><div class="ttdoc">Return interpolated y for specified x. </div><div class="ttdef"><b>Definition:</b> <a href="Spline_8cpp_source.html#l00166">Spline.cpp:166</a></div></div>
<div class="ttc" id="classSplinePair_html_a0f425a4a773b7611e11ce422b5149364"><div class="ttname"><a href="classSplinePair.html#a0f425a4a773b7611e11ce422b5149364">SplinePair::y</a></div><div class="ttdeci">double y() const</div><div class="ttdoc">Get method for y. </div><div class="ttdef"><b>Definition:</b> <a href="SplinePair_8cpp_source.html#l00071">SplinePair.cpp:71</a></div></div>
<div class="ttc" id="classGeometryStrategyAbstractBase_html_a8b0284b4f993969a1c947579622d8638"><div class="ttname"><a href="classGeometryStrategyAbstractBase.html#a8b0284b4f993969a1c947579622d8638">GeometryStrategyAbstractBase::loadXY</a></div><div class="ttdeci">void loadXY(const QVector&lt; QPointF &gt; &amp;positionsGraph, const DocumentModelCoords &amp;modelCoords, const DocumentModelGeneral &amp;modelGeneral, const MainWindowModel &amp;modelMainWindow, const Transformation &amp;transformation, QVector&lt; QString &gt; &amp;x, QVector&lt; QString &gt; &amp;y) const</div><div class="ttdoc">Load x and y coordinate vectors. </div><div class="ttdef"><b>Definition:</b> <a href="GeometryStrategyAbstractBase_8cpp_source.html#l00136">GeometryStrategyAbstractBase.cpp:136</a></div></div>
<div class="ttc" id="namespacestd_html"><div class="ttname"><a href="namespacestd.html">std</a></div></div>
<div class="ttc" id="classPoint_html"><div class="ttname"><a href="classPoint.html">Point</a></div><div class="ttdoc">Class that represents one digitized point. The screen-to-graph coordinate transformation is always ex...</div><div class="ttdef"><b>Definition:</b> <a href="Point_8h_source.html#l00023">Point.h:23</a></div></div>
<div class="ttc" id="classPoint_html_a7a10394ed496307f890f7c64520149f5"><div class="ttname"><a href="classPoint.html#a7a10394ed496307f890f7c64520149f5">Point::posScreen</a></div><div class="ttdeci">QPointF posScreen() const</div><div class="ttdoc">Accessor for screen position. </div><div class="ttdef"><b>Definition:</b> <a href="Point_8cpp_source.html#l00392">Point.cpp:392</a></div></div>
<div class="ttc" id="classFormatCoordsUnits_html_a73a6b88cf7f4f1d28256399a20f71ff8"><div class="ttname"><a href="classFormatCoordsUnits.html#a73a6b88cf7f4f1d28256399a20f71ff8">FormatCoordsUnits::unformattedToFormatted</a></div><div class="ttdeci">void unformattedToFormatted(double xThetaUnformatted, double yRadiusUnformatted, const DocumentModelCoords &amp;modelCoords, const DocumentModelGeneral &amp;modelGeneral, const MainWindowModel &amp;mainWindowModel, QString &amp;xThetaFormatted, QString &amp;yRadiusFormatted, const Transformation &amp;transformation) const</div><div class="ttdoc">Convert unformatted numeric value to formatted string. Transformation is used to determine best resol...</div><div class="ttdef"><b>Definition:</b> <a href="FormatCoordsUnits_8cpp_source.html#l00063">FormatCoordsUnits.cpp:63</a></div></div>
<div class="ttc" id="classTransformation_html"><div class="ttname"><a href="classTransformation.html">Transformation</a></div><div class="ttdoc">Affine transformation between screen and graph coordinates, based on digitized axis points...</div><div class="ttdef"><b>Definition:</b> <a href="Transformation_8h_source.html#l00031">Transformation.h:31</a></div></div>
<div class="ttc" id="classMainWindowModel_html"><div class="ttname"><a href="classMainWindowModel.html">MainWindowModel</a></div><div class="ttdoc">Model for DlgSettingsMainWindow. </div><div class="ttdef"><b>Definition:</b> <a href="MainWindowModel_8h_source.html#l00027">MainWindowModel.h:27</a></div></div>
<div class="ttc" id="classDocumentModelCoords_html"><div class="ttname"><a href="classDocumentModelCoords.html">DocumentModelCoords</a></div><div class="ttdoc">Model for DlgSettingsCoords and CmdSettingsCoords. </div><div class="ttdef"><b>Definition:</b> <a href="DocumentModelCoords_8h_source.html#l00020">DocumentModelCoords.h:20</a></div></div>
<div class="ttc" id="classGeometryStrategyAbstractBase_html_a5e68adc0efcc5b27550763f00d62f1e1"><div class="ttname"><a href="classGeometryStrategyAbstractBase.html#a5e68adc0efcc5b27550763f00d62f1e1">GeometryStrategyAbstractBase::polygonAreaForSimplyConnected</a></div><div class="ttdeci">double polygonAreaForSimplyConnected(const QVector&lt; QPointF &gt; &amp;points) const</div><div class="ttdoc">Area in polygon using Shoelace formula, which only works if polygon is simply connected. </div><div class="ttdef"><b>Definition:</b> <a href="GeometryStrategyAbstractBase_8cpp_source.html#l00166">GeometryStrategyAbstractBase.cpp:166</a></div></div>
<div class="ttc" id="classFormatCoordsUnits_html"><div class="ttname"><a href="classFormatCoordsUnits.html">FormatCoordsUnits</a></div><div class="ttdoc">Highest-level wrapper around other Formats classes. </div><div class="ttdef"><b>Definition:</b> <a href="FormatCoordsUnits_8h_source.html#l00017">FormatCoordsUnits.h:17</a></div></div>
<div class="ttc" id="classGeometryStrategyAbstractBase_html_ac56c910894be58c0824902130024853f"><div class="ttname"><a href="classGeometryStrategyAbstractBase.html#ac56c910894be58c0824902130024853f">GeometryStrategyAbstractBase::GeometryStrategyAbstractBase</a></div><div class="ttdeci">GeometryStrategyAbstractBase()</div><div class="ttdoc">Single constructor. </div><div class="ttdef"><b>Definition:</b> <a href="GeometryStrategyAbstractBase_8cpp_source.html#l00019">GeometryStrategyAbstractBase.cpp:19</a></div></div>
<div class="ttc" id="classTransformation_html_a52c9e6ea2fb295b91625779be3f3c444"><div class="ttname"><a href="classTransformation.html#a52c9e6ea2fb295b91625779be3f3c444">Transformation::transformScreenToRawGraph</a></div><div class="ttdeci">void transformScreenToRawGraph(const QPointF &amp;coordScreen, QPointF &amp;coordGraph) const</div><div class="ttdoc">Transform from cartesian pixel screen coordinates to cartesian/polar graph coordinates. </div><div class="ttdef"><b>Definition:</b> <a href="Transformation_8cpp_source.html#l00448">Transformation.cpp:448</a></div></div>
<div class="ttc" id="classSplinePair_html_a15ed2885edcdbe91f83c172f76b7f9b0"><div class="ttname"><a href="classSplinePair.html#a15ed2885edcdbe91f83c172f76b7f9b0">SplinePair::x</a></div><div class="ttdeci">double x() const</div><div class="ttdoc">Get method for x. </div><div class="ttdef"><b>Definition:</b> <a href="SplinePair_8cpp_source.html#l00066">SplinePair.cpp:66</a></div></div>
<div class="ttc" id="classGeometryStrategyAbstractBase_html_a8d5881a2e283b66a5815edfabc08b7b7"><div class="ttname"><a href="classGeometryStrategyAbstractBase.html#a8d5881a2e283b66a5815edfabc08b7b7">GeometryStrategyAbstractBase::insertSubintervalsAndLoadDistances</a></div><div class="ttdeci">void insertSubintervalsAndLoadDistances(int subintervalsPerInterval, const QVector&lt; QPointF &gt; &amp;positionsGraph, QVector&lt; QPointF &gt; &amp;positionsGraphWithSubintervals, QVector&lt; QString &gt; &amp;distanceGraphForward, QVector&lt; QString &gt; &amp;distancePercentForward, QVector&lt; QString &gt; &amp;distanceGraphBackward, QVector&lt; QString &gt; &amp;distancePercentBackward) const</div><div class="ttdoc">Insert the specified number of subintervals into each interval. </div><div class="ttdef"><b>Definition:</b> <a href="GeometryStrategyAbstractBase_8cpp_source.html#l00061">GeometryStrategyAbstractBase.cpp:61</a></div></div>
<div class="ttc" id="classSplinePair_html"><div class="ttname"><a href="classSplinePair.html">SplinePair</a></div><div class="ttdoc">Single X/Y pair for cubic spline interpolation initialization and calculations. </div><div class="ttdef"><b>Definition:</b> <a href="SplinePair_8h_source.html#l00011">SplinePair.h:11</a></div></div>
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