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<div class="title">qwt_spline_basis.cpp</div> </div>
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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/******************************************************************************</span></div>
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<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Qwt Widget Library</span></div>
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<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * Copyright (C) 1997 Josef Wilgen</span></div>
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<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> * Copyright (C) 2002 Uwe Rathmann</span></div>
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<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> *</span></div>
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<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * This library is free software; you can redistribute it and/or</span></div>
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<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * modify it under the terms of the Qwt License, Version 1.0</span></div>
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<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> *****************************************************************************/</span></div>
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<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
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<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="preprocessor">#include "qwt_spline_basis.h"</span></div>
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<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="preprocessor">#include "qwt_spline_parametrization.h"</span></div>
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<div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="preprocessor">#include <qpainterpath.h></span></div>
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<div class="line"><a name="l00013"></a><span class="lineno"> 13</span>  </div>
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<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="preprocessor">#if 0</span></div>
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<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="keyword">static</span> QPolygonF qwtBasisUniformKnots( <span class="keyword">const</span> QPolygonF& points )</div>
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<div class="line"><a name="l00016"></a><span class="lineno"> 16</span> {</div>
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<div class="line"><a name="l00017"></a><span class="lineno"> 17</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> n = points.size();</div>
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<div class="line"><a name="l00018"></a><span class="lineno"> 18</span>  </div>
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<div class="line"><a name="l00019"></a><span class="lineno"> 19</span>  <span class="keywordflow">if</span> ( n < 3 )</div>
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<div class="line"><a name="l00020"></a><span class="lineno"> 20</span>  <span class="keywordflow">return</span> points;</div>
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<div class="line"><a name="l00021"></a><span class="lineno"> 21</span>  </div>
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<div class="line"><a name="l00022"></a><span class="lineno"> 22</span>  <a class="code" href="class_q_vector.html">QVector< double ></a> u( n - 2 );</div>
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<div class="line"><a name="l00023"></a><span class="lineno"> 23</span>  <a class="code" href="class_q_vector.html">QVector< double ></a> kx( n - 2 );</div>
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<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>  <a class="code" href="class_q_vector.html">QVector< double ></a> ky( n - 2 );</div>
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<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>  </div>
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<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>  u[n - 3] = 4.0;</div>
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<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  kx[n - 3] = 6.0 * points[n - 2].x() - points[n - 1].x();</div>
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<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  ky[n - 3] = 6.0 * points[n - 2].y() - points[n - 1].y();</div>
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<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  </div>
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<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  <span class="keywordflow">for</span> ( <span class="keywordtype">int</span> i = n - 4; i >= 0; i-- )</div>
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<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  {</div>
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<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  u[i] = 4.0 - 1.0 / u[i + 1];</div>
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<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  kx[i] = 6.0 * points[i + 1].x() - kx[i + 1] / u[i + 1];</div>
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<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  ky[i] = 6.0 * points[i + 1].y() - ky[i + 1] / u[i + 1];</div>
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<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  }</div>
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<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  </div>
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<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  <a class="code" href="class_q_vector.html">QVector< QPointF ></a> knots( n );</div>
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<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  </div>
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<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  knots[0] = points[0];</div>
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<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  </div>
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<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  <span class="keywordflow">for</span> ( <span class="keywordtype">int</span> i = 1; i < n - 1; i++ )</div>
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<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  {</div>
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<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  knots[i].rx() = ( kx[i - 1] - knots[i - 1].x() ) / u[i - 1];</div>
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<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  knots[i].ry() = ( ky[i - 1] - knots[i - 1].y() ) / u[i - 1];</div>
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<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  }</div>
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<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  </div>
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<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  knots[n - 1] = points[n - 1];</div>
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<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  </div>
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<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  <span class="keywordflow">return</span> knots;</div>
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<div class="line"><a name="l00050"></a><span class="lineno"> 50</span> }</div>
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<div class="line"><a name="l00051"></a><span class="lineno"> 51</span> <span class="preprocessor">#endif</span></div>
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<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  </div>
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<div class="line"><a name="l00053"></a><span class="lineno"> 53</span> <span class="preprocessor">#if 0</span></div>
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<div class="line"><a name="l00054"></a><span class="lineno"> 54</span> <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">void</span> qwtSplineBezierControlPoints( <span class="keyword">const</span> <a class="code" href="class_qwt_spline_parametrization.html">QwtSplineParametrization</a>* param,</div>
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<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <span class="keyword">const</span> QPointF& p1, <span class="keyword">const</span> QPointF& p2, <span class="keyword">const</span> QPointF& p3, <span class="keyword">const</span> QPointF& p4,</div>
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<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  QPointF& cp1, QPointF& cp2 )</div>
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<div class="line"><a name="l00057"></a><span class="lineno"> 57</span> {</div>
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<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> t1 = param-><a class="code" href="class_qwt_spline_parametrization.html#a5cd58cf9777799bec478ad524baa22f9">valueIncrement</a>( p1, p2 );</div>
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<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> t2 = param-><a class="code" href="class_qwt_spline_parametrization.html#a5cd58cf9777799bec478ad524baa22f9">valueIncrement</a>( p2, p3 );</div>
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<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> t3 = param-><a class="code" href="class_qwt_spline_parametrization.html#a5cd58cf9777799bec478ad524baa22f9">valueIncrement</a>( p3, p4 );</div>
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<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  </div>
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<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> t123 = t1 + t2 + t3;</div>
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<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  </div>
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<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  cp1 = ( t2 + t3 ) / t123 * p2 + t1 / t123 * p3;</div>
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<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  cp2 = ( t3 * p2 + ( t1 + t2 ) * p3 ) / t123;</div>
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<div class="line"><a name="l00066"></a><span class="lineno"> 66</span> }</div>
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<div class="line"><a name="l00067"></a><span class="lineno"> 67</span> <span class="preprocessor">#endif</span></div>
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<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  </div>
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<div class="line"><a name="l00069"></a><span class="lineno"> 69</span> <span class="keyword">static</span> QPainterPath qwtSplineBasisPathUniform( <span class="keyword">const</span> QPolygonF& points,</div>
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<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <a class="code" href="class_qwt_spline.html#ad82b1f33946d2489511f5e697a32b128">QwtSpline::BoundaryType</a> boundaryType )</div>
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<div class="line"><a name="l00071"></a><span class="lineno"> 71</span> {</div>
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<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> n = points.size();</div>
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<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <span class="keyword">const</span> QPointF* pd = points.constData();</div>
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<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  </div>
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<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  QPainterPath path;</div>
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<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  </div>
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<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  QPointF cp1 = ( 2.0 * pd[0] + pd[1] ) / 3.0;;</div>
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<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  </div>
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<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  <span class="keywordflow">if</span> ( boundaryType == <a class="code" href="class_qwt_spline.html#ad82b1f33946d2489511f5e697a32b128af5bf38b7f712e69c699458cd6dfef711">QwtSpline::ConditionalBoundaries</a> )</div>
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<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  {</div>
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<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  path.moveTo( pd[0] );</div>
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<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  }</div>
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<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  <span class="keywordflow">else</span></div>
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<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  {</div>
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<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  <span class="keyword">const</span> QPointF cpN = ( pd[n - 1] + 2.0 * pd[0] ) / 3.0;</div>
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<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  path.moveTo( 0.5 * ( cpN + cp1 ) );</div>
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<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  }</div>
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<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  </div>
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<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  <span class="keywordflow">for</span> ( <span class="keywordtype">int</span> i = 1; i < n - 1; i++ )</div>
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<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  {</div>
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<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  <span class="keyword">const</span> QPointF cp2 = ( pd[i - 1] + 2.0 * pd[i] ) / 3.0;</div>
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<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  <span class="keyword">const</span> QPointF cp3 = ( 2.0 * pd[i] + pd[i + 1] ) / 3.0;</div>
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<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  </div>
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<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  path.cubicTo( cp1, cp2, 0.5 * ( cp2 + cp3 ) );</div>
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<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  </div>
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<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  cp1 = cp3;</div>
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<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  }</div>
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<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  </div>
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<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <span class="keywordflow">if</span> ( boundaryType == <a class="code" href="class_qwt_spline.html#ad82b1f33946d2489511f5e697a32b128af5bf38b7f712e69c699458cd6dfef711">QwtSpline::ConditionalBoundaries</a> )</div>
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<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  {</div>
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<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  <span class="keyword">const</span> QPointF cp2 = ( pd[n - 2] + 2.0 * pd[n - 1] ) / 3.0;</div>
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<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  path.cubicTo( cp1, cp2, pd[n - 1] );</div>
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<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  }</div>
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<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <span class="keywordflow">else</span></div>
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<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  {</div>
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<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  <span class="keyword">const</span> QPointF cp2 = ( pd[n - 2] + 2.0 * pd[n - 1] ) / 3.0;</div>
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<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <span class="keyword">const</span> QPointF cp3 = ( 2.0 * pd[n - 1] + pd[0] ) / 3.0;</div>
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<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  </div>
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<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  path.cubicTo( cp1, cp2, 0.5 * ( cp2 + cp3 ) );</div>
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<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  </div>
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<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  <span class="keywordflow">if</span> ( boundaryType == <a class="code" href="class_qwt_spline.html#ad82b1f33946d2489511f5e697a32b128a63108a1fe17778b7d9c236efc17774b1">QwtSpline::ClosedPolygon</a> )</div>
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<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  {</div>
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<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  <span class="keyword">const</span> QPointF cp4 = ( pd[n - 1] + 2.0 * pd[0] ) / 3.0;</div>
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<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  <span class="keyword">const</span> QPointF cp5 = ( 2.0 * pd[0] + pd[1] ) / 3.0;</div>
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<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  </div>
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<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  path.cubicTo( cp3, cp4, 0.5 * ( cp4 + cp5 ) );</div>
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<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  }</div>
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<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  }</div>
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<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  </div>
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<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  <span class="keywordflow">return</span> path;</div>
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<div class="line"><a name="l00121"></a><span class="lineno"> 121</span> }</div>
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<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  </div>
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<div class="line"><a name="l00123"></a><span class="lineno"> 123</span> <span class="keyword">static</span> QPainterPath qwtSplineBasisPath( <span class="keyword">const</span> QPolygonF& points,</div>
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<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  <span class="keyword">const</span> <a class="code" href="class_qwt_spline_parametrization.html">QwtSplineParametrization</a>* param,</div>
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<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  <a class="code" href="class_qwt_spline.html#ad82b1f33946d2489511f5e697a32b128">QwtSpline::BoundaryType</a> boundaryType )</div>
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<div class="line"><a name="l00126"></a><span class="lineno"> 126</span> {</div>
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<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> n = points.size();</div>
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<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  <span class="keyword">const</span> QPointF* pd = points.constData();</div>
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<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  </div>
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<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  QPointF p0;</div>
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<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  </div>
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<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  <span class="keywordtype">double</span> t1 = param-><a class="code" href="class_qwt_spline_parametrization.html#a5cd58cf9777799bec478ad524baa22f9">valueIncrement</a>( pd[0], pd[1] );</div>
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<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  <span class="keywordtype">double</span> t2 = param-><a class="code" href="class_qwt_spline_parametrization.html#a5cd58cf9777799bec478ad524baa22f9">valueIncrement</a>( pd[1], pd[2] );</div>
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<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  </div>
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<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  <span class="keywordtype">double</span> t0;</div>
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<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  <span class="keywordflow">if</span> ( boundaryType == <a class="code" href="class_qwt_spline.html#ad82b1f33946d2489511f5e697a32b128af5bf38b7f712e69c699458cd6dfef711">QwtSpline::ConditionalBoundaries</a> )</div>
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<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  t0 = t1;</div>
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<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  <span class="keywordflow">else</span></div>
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<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  t0 = param-><a class="code" href="class_qwt_spline_parametrization.html#a5cd58cf9777799bec478ad524baa22f9">valueIncrement</a>( pd[n - 1], pd[0] );</div>
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<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  </div>
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<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  <span class="keywordtype">double</span> t012 = t0 + t1 + t2;</div>
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<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  QPointF cp1 = ( ( t1 + t2 ) * pd[0] + t0 * pd[1] ) / t012;</div>
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<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  </div>
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<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  <span class="keywordflow">if</span> ( boundaryType == <a class="code" href="class_qwt_spline.html#ad82b1f33946d2489511f5e697a32b128af5bf38b7f712e69c699458cd6dfef711">QwtSpline::ConditionalBoundaries</a> )</div>
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<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  {</div>
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<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  p0 = pd[0];</div>
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<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  }</div>
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<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  <span class="keywordflow">else</span></div>
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<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  {</div>
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<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> tN = param-><a class="code" href="class_qwt_spline_parametrization.html#a5cd58cf9777799bec478ad524baa22f9">valueIncrement</a>( pd[n - 2], pd[n - 1] );</div>
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<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  <span class="keyword">const</span> QPointF cpN = ( t1 * pd[n - 1] + ( tN + t0 ) * pd[0] ) / ( tN + t0 + t1 );</div>
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<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  </div>
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<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  p0 = ( t1 * cpN + t0 * cp1 ) / ( t0 + t1 );</div>
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<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  }</div>
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<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  </div>
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<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  QPainterPath path;</div>
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<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  path.moveTo( p0 );</div>
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<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  </div>
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<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  <span class="keywordflow">for</span> ( <span class="keywordtype">int</span> i = 1; i < n - 2; i++ )</div>
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<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  {</div>
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<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> t3 = param-><a class="code" href="class_qwt_spline_parametrization.html#a5cd58cf9777799bec478ad524baa22f9">valueIncrement</a>( pd[i + 1], pd[i + 2] );</div>
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<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> t123 = t1 + t2 + t3;</div>
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<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  </div>
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<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  <span class="keyword">const</span> QPointF cp2 = ( t2 * pd[i - 1] + ( t0 + t1 ) * pd[i] ) / t012;</div>
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<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  <span class="keyword">const</span> QPointF cp3 = ( ( t2 + t3 ) * pd[i] + t1 * pd[i + 1] ) / t123;</div>
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<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  </div>
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<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  <span class="keyword">const</span> QPointF p2 = ( t2 * cp2 + t1 * cp3 ) / ( t1 + t2 );</div>
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<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  </div>
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<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  path.cubicTo( cp1, cp2, p2 );</div>
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<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  </div>
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<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  cp1 = cp3;</div>
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<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  </div>
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<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  t0 = t1;</div>
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<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  t1 = t2;</div>
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<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  t2 = t3;</div>
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<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  t012 = t123;</div>
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<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  }</div>
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<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  </div>
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<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  {</div>
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<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  <span class="keywordtype">double</span> t3;</div>
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<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  <span class="keywordflow">if</span> ( boundaryType == <a class="code" href="class_qwt_spline.html#ad82b1f33946d2489511f5e697a32b128af5bf38b7f712e69c699458cd6dfef711">QwtSpline::ConditionalBoundaries</a> )</div>
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<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  t3 = t2;</div>
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<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  <span class="keywordflow">else</span></div>
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<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  t3 = param-><a class="code" href="class_qwt_spline_parametrization.html#a5cd58cf9777799bec478ad524baa22f9">valueIncrement</a>( pd[n - 1], pd[0] );</div>
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|
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  </div>
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<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> t123 = t1 + t2 + t3;</div>
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<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  </div>
|
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<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  <span class="keyword">const</span> QPointF cp2 = ( t2 * pd[n - 3] + ( t0 + t1 ) * pd[n - 2] ) / t012;</div>
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|
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  <span class="keyword">const</span> QPointF cp3 = ( ( t2 + t3 ) * pd[n - 2] + t1 * pd[n - 1] ) / t123;</div>
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<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  </div>
|
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<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  <span class="keyword">const</span> QPointF p2 = ( t2 * cp2 + t1 * cp3 ) / ( t1 + t2 );</div>
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<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  </div>
|
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<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  path.cubicTo( cp1, cp2, p2 );</div>
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|
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  </div>
|
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<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  cp1 = cp3;</div>
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<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  </div>
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<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  t0 = t1;</div>
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<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  t1 = t2;</div>
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<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  t2 = t3;</div>
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<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>  t012 = t123;</div>
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<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>  }</div>
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<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  </div>
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<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>  <span class="keyword">const</span> QPointF cp2 = ( t2 * pd[n - 2] + ( t0 + t1 ) * pd[n - 1] ) / t012;</div>
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<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  </div>
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<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  <span class="keywordflow">if</span> ( boundaryType == <a class="code" href="class_qwt_spline.html#ad82b1f33946d2489511f5e697a32b128af5bf38b7f712e69c699458cd6dfef711">QwtSpline::ConditionalBoundaries</a> )</div>
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|
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  {</div>
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<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  path.cubicTo( cp1, cp2, pd[n - 1] );</div>
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<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  }</div>
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<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>  <span class="keywordflow">else</span></div>
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<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  {</div>
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<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> t3 = param-><a class="code" href="class_qwt_spline_parametrization.html#a5cd58cf9777799bec478ad524baa22f9">valueIncrement</a>( pd[0], pd[1] );</div>
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<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> t123 = t1 + t2 + t3;</div>
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<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  </div>
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<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  <span class="keyword">const</span> QPointF cp3 = ( t2 + t3 ) / t123 * pd[n - 1] + t1 / t123 * pd[0];</div>
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|
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>  <span class="keyword">const</span> QPointF cp4 = ( t3 * pd[n - 1] + ( t1 + t2 ) * pd[0] ) / t123;</div>
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<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  </div>
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<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>  <span class="keyword">const</span> QPointF pN = ( t2 * cp2 + t1 * cp3 ) / ( t1 + t2 );</div>
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<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>  </div>
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<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  path.cubicTo( cp1, cp2, pN );</div>
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<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  path.cubicTo( cp3, cp4, p0 );</div>
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<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  }</div>
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<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>  </div>
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<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  <span class="keywordflow">return</span> path;</div>
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<div class="line"><a name="l00224"></a><span class="lineno"> 224</span> }</div>
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<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>  </div>
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<div class="line"><a name="l00227"></a><span class="lineno"><a class="line" href="class_qwt_spline_basis.html#a84187686884d133830ea4c94fd57ff17"> 227</a></span> <a class="code" href="class_qwt_spline_basis.html#a84187686884d133830ea4c94fd57ff17">QwtSplineBasis::QwtSplineBasis</a>()</div>
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<div class="line"><a name="l00228"></a><span class="lineno"> 228</span> {</div>
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<div class="line"><a name="l00229"></a><span class="lineno"> 229</span> }</div>
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<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  </div>
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<div class="line"><a name="l00232"></a><span class="lineno"><a class="line" href="class_qwt_spline_basis.html#a623c89b2080e099bac2c39c0418bfa84"> 232</a></span> <a class="code" href="class_qwt_spline_basis.html#a623c89b2080e099bac2c39c0418bfa84">QwtSplineBasis::~QwtSplineBasis</a>()</div>
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<div class="line"><a name="l00233"></a><span class="lineno"> 233</span> {</div>
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<div class="line"><a name="l00234"></a><span class="lineno"> 234</span> }</div>
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<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>  </div>
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<div class="line"><a name="l00237"></a><span class="lineno"><a class="line" href="class_qwt_spline_basis.html#a1eeb7e3edab36759d523613bb80c69db"> 237</a></span> uint <a class="code" href="class_qwt_spline_basis.html#a1eeb7e3edab36759d523613bb80c69db">QwtSplineBasis::locality</a>()<span class="keyword"> const</span></div>
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<div class="line"><a name="l00238"></a><span class="lineno"> 238</span> <span class="keyword"></span>{</div>
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<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  <span class="keywordflow">return</span> 2;</div>
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<div class="line"><a name="l00240"></a><span class="lineno"> 240</span> }</div>
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<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>  </div>
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<div class="line"><a name="l00249"></a><span class="lineno"><a class="line" href="class_qwt_spline_basis.html#af6be32c8dbfb01f1110504d949088b3b"> 249</a></span> QPainterPath <a class="code" href="class_qwt_spline_basis.html#af6be32c8dbfb01f1110504d949088b3b">QwtSplineBasis::painterPath</a>( <span class="keyword">const</span> QPolygonF& points )<span class="keyword"> const</span></div>
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<div class="line"><a name="l00250"></a><span class="lineno"> 250</span> <span class="keyword"></span>{</div>
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<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  <span class="keywordflow">if</span> ( points.size() < 4 )</div>
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<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  <span class="keywordflow">return</span> QPainterPath();</div>
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<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>  </div>
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<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  QPainterPath path;</div>
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<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>  </div>
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<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  <span class="keywordflow">switch</span>( <a class="code" href="class_qwt_spline.html#a6aa6f2c0b844e6a27284aa474c6bca7b">parametrization</a>()->type() )</div>
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<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  {</div>
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<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>  <span class="keywordflow">case</span> <a class="code" href="class_qwt_spline_parametrization.html#aa63256420483fa4981452127366cb48daa34d8f54e326e8964c6131287dd3e478">QwtSplineParametrization::ParameterUniform</a>:</div>
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<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>  {</div>
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<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>  path = qwtSplineBasisPathUniform( points, <a class="code" href="class_qwt_spline.html#a7f5f43e9e83fd23210ac528802c0496d">boundaryType</a>() );</div>
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<div class="line"><a name="l00261"></a><span class="lineno"> 261</span>  <span class="keywordflow">break</span>;</div>
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<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>  }</div>
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<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>  <span class="keywordflow">default</span>:</div>
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<div class="line"><a name="l00264"></a><span class="lineno"> 264</span>  {</div>
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<div class="line"><a name="l00265"></a><span class="lineno"> 265</span>  path = qwtSplineBasisPath( points, <a class="code" href="class_qwt_spline.html#a6aa6f2c0b844e6a27284aa474c6bca7b">parametrization</a>(), <a class="code" href="class_qwt_spline.html#a7f5f43e9e83fd23210ac528802c0496d">boundaryType</a>() );</div>
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<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>  }</div>
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<div class="line"><a name="l00267"></a><span class="lineno"> 267</span>  }</div>
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<div class="line"><a name="l00268"></a><span class="lineno"> 268</span>  </div>
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<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>  <span class="keywordflow">return</span> path;</div>
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<div class="line"><a name="l00270"></a><span class="lineno"> 270</span> }</div>
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<div class="ttc" id="aclass_q_vector_html"><div class="ttname"><a href="class_q_vector.html">QVector< double ></a></div></div>
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<div class="ttc" id="aclass_qwt_spline_basis_html_a1eeb7e3edab36759d523613bb80c69db"><div class="ttname"><a href="class_qwt_spline_basis.html#a1eeb7e3edab36759d523613bb80c69db">QwtSplineBasis::locality</a></div><div class="ttdeci">virtual uint locality() const override</div><div class="ttdoc">The locality is always 2.</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline__basis_8cpp_source.html#l00237">qwt_spline_basis.cpp:237</a></div></div>
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<div class="ttc" id="aclass_qwt_spline_basis_html_a623c89b2080e099bac2c39c0418bfa84"><div class="ttname"><a href="class_qwt_spline_basis.html#a623c89b2080e099bac2c39c0418bfa84">QwtSplineBasis::~QwtSplineBasis</a></div><div class="ttdeci">virtual ~QwtSplineBasis()</div><div class="ttdoc">Destructor.</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline__basis_8cpp_source.html#l00232">qwt_spline_basis.cpp:232</a></div></div>
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<div class="ttc" id="aclass_qwt_spline_basis_html_a84187686884d133830ea4c94fd57ff17"><div class="ttname"><a href="class_qwt_spline_basis.html#a84187686884d133830ea4c94fd57ff17">QwtSplineBasis::QwtSplineBasis</a></div><div class="ttdeci">QwtSplineBasis()</div><div class="ttdoc">Constructor.</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline__basis_8cpp_source.html#l00227">qwt_spline_basis.cpp:227</a></div></div>
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<div class="ttc" id="aclass_qwt_spline_basis_html_af6be32c8dbfb01f1110504d949088b3b"><div class="ttname"><a href="class_qwt_spline_basis.html#af6be32c8dbfb01f1110504d949088b3b">QwtSplineBasis::painterPath</a></div><div class="ttdeci">virtual QPainterPath painterPath(const QPolygonF &) const override</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline__basis_8cpp_source.html#l00249">qwt_spline_basis.cpp:249</a></div></div>
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<div class="ttc" id="aclass_qwt_spline_html_a6aa6f2c0b844e6a27284aa474c6bca7b"><div class="ttname"><a href="class_qwt_spline.html#a6aa6f2c0b844e6a27284aa474c6bca7b">QwtSpline::parametrization</a></div><div class="ttdeci">const QwtSplineParametrization * parametrization() const</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline_8cpp_source.html#l00605">qwt_spline.cpp:605</a></div></div>
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<div class="ttc" id="aclass_qwt_spline_html_a7f5f43e9e83fd23210ac528802c0496d"><div class="ttname"><a href="class_qwt_spline.html#a7f5f43e9e83fd23210ac528802c0496d">QwtSpline::boundaryType</a></div><div class="ttdeci">BoundaryType boundaryType() const</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline_8cpp_source.html#l00626">qwt_spline.cpp:626</a></div></div>
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<div class="ttc" id="aclass_qwt_spline_html_ad82b1f33946d2489511f5e697a32b128"><div class="ttname"><a href="class_qwt_spline.html#ad82b1f33946d2489511f5e697a32b128">QwtSpline::BoundaryType</a></div><div class="ttdeci">BoundaryType</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline_8h_source.html#l00065">qwt_spline.h:66</a></div></div>
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<div class="ttc" id="aclass_qwt_spline_html_ad82b1f33946d2489511f5e697a32b128a63108a1fe17778b7d9c236efc17774b1"><div class="ttname"><a href="class_qwt_spline.html#ad82b1f33946d2489511f5e697a32b128a63108a1fe17778b7d9c236efc17774b1">QwtSpline::ClosedPolygon</a></div><div class="ttdeci">@ ClosedPolygon</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline_8h_source.html#l00093">qwt_spline.h:92</a></div></div>
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<div class="ttc" id="aclass_qwt_spline_html_ad82b1f33946d2489511f5e697a32b128af5bf38b7f712e69c699458cd6dfef711"><div class="ttname"><a href="class_qwt_spline.html#ad82b1f33946d2489511f5e697a32b128af5bf38b7f712e69c699458cd6dfef711">QwtSpline::ConditionalBoundaries</a></div><div class="ttdeci">@ ConditionalBoundaries</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline_8h_source.html#l00072">qwt_spline.h:72</a></div></div>
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<div class="ttc" id="aclass_qwt_spline_parametrization_html"><div class="ttname"><a href="class_qwt_spline_parametrization.html">QwtSplineParametrization</a></div><div class="ttdoc">Curve parametrization used for a spline interpolation.</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline__parametrization_8h_source.html#l00044">qwt_spline_parametrization.h:45</a></div></div>
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<div class="ttc" id="aclass_qwt_spline_parametrization_html_a5cd58cf9777799bec478ad524baa22f9"><div class="ttname"><a href="class_qwt_spline_parametrization.html#a5cd58cf9777799bec478ad524baa22f9">QwtSplineParametrization::valueIncrement</a></div><div class="ttdeci">virtual double valueIncrement(const QPointF &, const QPointF &) const</div><div class="ttdoc">Calculate the parameter value increment for 2 points.</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline__parametrization_8cpp_source.html#l00035">qwt_spline_parametrization.cpp:35</a></div></div>
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<div class="ttc" id="aclass_qwt_spline_parametrization_html_aa63256420483fa4981452127366cb48daa34d8f54e326e8964c6131287dd3e478"><div class="ttname"><a href="class_qwt_spline_parametrization.html#aa63256420483fa4981452127366cb48daa34d8f54e326e8964c6131287dd3e478">QwtSplineParametrization::ParameterUniform</a></div><div class="ttdeci">@ ParameterUniform</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline__parametrization_8h_source.html#l00072">qwt_spline_parametrization.h:72</a></div></div>
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