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<div class="title">qwt_bezier.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_bezier.h"</span></div>
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<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="preprocessor">#include "qwt_math.h"</span></div>
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<div class="line"><a name="l00012"></a><span class="lineno"> 12</span>  </div>
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<div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="preprocessor">#include <qpolygon.h></span></div>
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<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="preprocessor">#include <qstack.h></span></div>
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<div class="line"><a name="l00015"></a><span class="lineno"> 15</span>  </div>
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<div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="keyword">namespace</span></div>
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<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> {</div>
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<div class="line"><a name="l00018"></a><span class="lineno"> 18</span>  <span class="keyword">class </span>BezierData</div>
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<div class="line"><a name="l00019"></a><span class="lineno"> 19</span>  {</div>
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<div class="line"><a name="l00020"></a><span class="lineno"> 20</span>  <span class="keyword">public</span>:</div>
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<div class="line"><a name="l00021"></a><span class="lineno"> 21</span>  <span class="keyword">inline</span> BezierData()</div>
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<div class="line"><a name="l00022"></a><span class="lineno"> 22</span>  {</div>
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<div class="line"><a name="l00023"></a><span class="lineno"> 23</span>  <span class="comment">// default constructor with uninitialized points</span></div>
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<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>  }</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>  <span class="keyword">inline</span> BezierData( <span class="keyword">const</span> QPointF& p1, <span class="keyword">const</span> QPointF& cp1,</div>
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<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  <span class="keyword">const</span> QPointF& cp2, <span class="keyword">const</span> QPointF& p2 ):</div>
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<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  m_x1( p1.x() ),</div>
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<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  m_y1( p1.y() ),</div>
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<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  m_cx1( cp1.x() ),</div>
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<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  m_cy1( cp1.y() ),</div>
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<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  m_cx2( cp2.x() ),</div>
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<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  m_cy2( cp2.y() ),</div>
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<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  m_x2( p2.x() ),</div>
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<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  m_y2( p2.y() )</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>  }</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>  <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">double</span> minFlatness( <span class="keywordtype">double</span> tolerance )</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="comment">// we can simplify the tolerance criterion check in</span></div>
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<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  <span class="comment">// the subdivision loop, by precalculating some</span></div>
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<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  <span class="comment">// flatness value.</span></div>
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<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  </div>
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<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  <span class="keywordflow">return</span> 16 * ( tolerance * tolerance );</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>  </div>
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<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  <span class="keyword">inline</span> <span class="keywordtype">double</span> flatness()<span class="keyword"> const</span></div>
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<div class="line"><a name="l00049"></a><span class="lineno"> 49</span> <span class="keyword"> </span>{</div>
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<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  <span class="comment">// algo by Roger Willcocks ( http://www.rops.org )</span></div>
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<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  </div>
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<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> ux = 3.0 * m_cx1 - 2.0 * m_x1 - m_x2;</div>
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<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> uy = 3.0 * m_cy1 - 2.0 * m_y1 - m_y2;</div>
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<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> vx = 3.0 * m_cx2 - 2.0 * m_x2 - m_x1;</div>
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<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> vy = 3.0 * m_cy2 - 2.0 * m_y2 - m_y1;</div>
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<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  </div>
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<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> ux2 = ux * ux;</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> uy2 = uy * uy;</div>
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<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  </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> vx2 = vx * vx;</div>
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<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> vy2 = vy * vy;</div>
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<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  </div>
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<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  <span class="keywordflow">return</span> qwtMaxF( ux2, vx2 ) + qwtMaxF( uy2, vy2 );</div>
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<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  }</div>
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<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  </div>
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<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  <span class="keyword">inline</span> BezierData subdivided()</div>
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<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  {</div>
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<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  BezierData bz;</div>
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<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  </div>
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<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> c1 = midValue( m_cx1, m_cx2 );</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>  bz.m_cx1 = midValue( m_x1, m_cx1 );</div>
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<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  m_cx2 = midValue( m_cx2, m_x2 );</div>
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<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  bz.m_x1 = m_x1;</div>
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<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  bz.m_cx2 = midValue( bz.m_cx1, c1 );</div>
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<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  m_cx1 = midValue( c1, m_cx2 );</div>
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<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  bz.m_x2 = m_x1 = midValue( bz.m_cx2, m_cx1 );</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="keyword">const</span> <span class="keywordtype">double</span> c2 = midValue( m_cy1, m_cy2 );</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>  bz.m_cy1 = midValue( m_y1, m_cy1 );</div>
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<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  m_cy2 = midValue( m_cy2, m_y2 );</div>
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<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  bz.m_y1 = m_y1;</div>
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<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  bz.m_cy2 = midValue( bz.m_cy1, c2 );</div>
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<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  m_cy1 = midValue( m_cy2, c2 );</div>
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<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  bz.m_y2 = m_y1 = midValue( bz.m_cy2, m_cy1 );</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>  <span class="keywordflow">return</span> bz;</div>
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<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  }</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">inline</span> QPointF p2()<span class="keyword"> const</span></div>
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<div class="line"><a name="l00092"></a><span class="lineno"> 92</span> <span class="keyword"> </span>{</div>
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<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <span class="keywordflow">return</span> QPointF( m_x2, m_y2 );</div>
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<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  }</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>  <span class="keyword">private</span>:</div>
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<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  <span class="keyword">inline</span> <span class="keywordtype">double</span> midValue( <span class="keywordtype">double</span> v1, <span class="keywordtype">double</span> v2 )</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">return</span> 0.5 * ( v1 + v2 );</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>  </div>
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<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  <span class="keywordtype">double</span> m_x1, m_y1;</div>
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<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  <span class="keywordtype">double</span> m_cx1, m_cy1;</div>
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<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <span class="keywordtype">double</span> m_cx2, m_cy2;</div>
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<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  <span class="keywordtype">double</span> m_x2, m_y2;</div>
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<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  };</div>
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<div class="line"><a name="l00107"></a><span class="lineno"> 107</span> }</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="l00116"></a><span class="lineno"><a class="line" href="class_qwt_bezier.html#a7b74d8e4874bc39110c84f74594d61b9"> 116</a></span> <a class="code" href="class_qwt_bezier.html#a7b74d8e4874bc39110c84f74594d61b9">QwtBezier::QwtBezier</a>( <span class="keywordtype">double</span> tolerance )</div>
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<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  : m_tolerance( qwtMaxF( tolerance, 0.0 ) )</div>
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<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  , m_flatness( BezierData::minFlatness( m_tolerance ) )</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> }</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="l00123"></a><span class="lineno"><a class="line" href="class_qwt_bezier.html#a750ad26d6b7a3c37685f03db98868d3f"> 123</a></span> <a class="code" href="class_qwt_bezier.html#a750ad26d6b7a3c37685f03db98868d3f">QwtBezier::~QwtBezier</a>()</div>
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<div class="line"><a name="l00124"></a><span class="lineno"> 124</span> {</div>
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<div class="line"><a name="l00125"></a><span class="lineno"> 125</span> }</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="l00141"></a><span class="lineno"><a class="line" href="class_qwt_bezier.html#a5c0ad844ea7d4ee69f3c391fd1a93ae7"> 141</a></span> <span class="keywordtype">void</span> <a class="code" href="class_qwt_bezier.html#a5c0ad844ea7d4ee69f3c391fd1a93ae7">QwtBezier::setTolerance</a>( <span class="keywordtype">double</span> tolerance )</div>
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<div class="line"><a name="l00142"></a><span class="lineno"> 142</span> {</div>
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<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  m_tolerance = qwtMaxF( <a class="code" href="class_qwt_bezier.html#a53b980b7397ef4bdcbc011d6556108b8">tolerance</a>, 0.0 );</div>
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<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  m_flatness = BezierData::minFlatness( m_tolerance );</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>  </div>
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<div class="line"><a name="l00157"></a><span class="lineno"><a class="line" href="class_qwt_bezier.html#a1cac7efebcc8bf42fe9a12552a9d727d"> 157</a></span> QPolygonF <a class="code" href="class_qwt_bezier.html#a1cac7efebcc8bf42fe9a12552a9d727d">QwtBezier::toPolygon</a>( <span class="keyword">const</span> QPointF& p1,</div>
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<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  <span class="keyword">const</span> QPointF& cp1, <span class="keyword">const</span> QPointF& cp2, <span class="keyword">const</span> QPointF& p2 )<span class="keyword"> const</span></div>
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<div class="line"><a name="l00159"></a><span class="lineno"> 159</span> <span class="keyword"></span>{</div>
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<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  QPolygonF polygon;</div>
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<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  </div>
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<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  <span class="keywordflow">if</span> ( m_flatness > 0.0 )</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="comment">// a flatness of 0.0 is not achievable</span></div>
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<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  <a class="code" href="class_qwt_bezier.html#a1e67390b7109a819d29b043418bcb1b5">appendToPolygon</a>( p1, cp1, cp2, p2, polygon );</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>  </div>
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<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  <span class="keywordflow">return</span> polygon;</div>
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<div class="line"><a name="l00169"></a><span class="lineno"> 169</span> }</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="l00186"></a><span class="lineno"><a class="line" href="class_qwt_bezier.html#a1e67390b7109a819d29b043418bcb1b5"> 186</a></span> <span class="keywordtype">void</span> <a class="code" href="class_qwt_bezier.html#a1e67390b7109a819d29b043418bcb1b5">QwtBezier::appendToPolygon</a>( <span class="keyword">const</span> QPointF& p1, <span class="keyword">const</span> QPointF& cp1,</div>
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<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  <span class="keyword">const</span> QPointF& cp2, <span class="keyword">const</span> QPointF& p2, QPolygonF& polygon )<span class="keyword"> const</span></div>
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<div class="line"><a name="l00188"></a><span class="lineno"> 188</span> <span class="keyword"></span>{</div>
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<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  <span class="keywordflow">if</span> ( m_flatness <= 0.0 )</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="comment">// a flatness of 0.0 is not achievable</span></div>
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<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  <span class="keywordflow">return</span>;</div>
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<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  }</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>  <span class="keywordflow">if</span> ( polygon.isEmpty() || polygon.last() != p1 )</div>
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<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  polygon += p1;</div>
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<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  </div>
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<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  <span class="comment">// to avoid deep stacks we convert the recursive algo</span></div>
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<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  <span class="comment">// to something iterative, where the parameters of the</span></div>
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<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>  <span class="comment">// recursive class are pushed to a stack instead</span></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>  <a class="code" href="class_q_stack.html">QStack< BezierData ></a> stack;</div>
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<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>  stack.push( BezierData( p1, cp1, cp2, p2 ) );</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">while</span>( <span class="keyword">true</span> )</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>  BezierData& bz = stack.top();</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">if</span> ( bz.flatness() < m_flatness )</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="keywordflow">if</span> ( stack.size() == 1 )</div>
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<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  {</div>
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<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  polygon += p2;</div>
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<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  <span class="keywordflow">return</span>;</div>
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<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>  }</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>  polygon += bz.p2();</div>
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<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>  stack.pop();</div>
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<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  }</div>
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<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  <span class="keywordflow">else</span></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>  stack.push( bz.subdivided() );</div>
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<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  }</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="l00226"></a><span class="lineno"> 226</span> }</div>
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<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>  </div>
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<div class="line"><a name="l00239"></a><span class="lineno"><a class="line" href="class_qwt_bezier.html#a962c356b89fb7fd2343091fed1569530"> 239</a></span> QPointF <a class="code" href="class_qwt_bezier.html#a962c356b89fb7fd2343091fed1569530">QwtBezier::pointAt</a>( <span class="keyword">const</span> QPointF& p1,</div>
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<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>  <span class="keyword">const</span> QPointF& cp1, <span class="keyword">const</span> QPointF& cp2, <span class="keyword">const</span> QPointF& p2, <span class="keywordtype">double</span> t )</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="l00242"></a><span class="lineno"> 242</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> d1 = 3.0 * t;</div>
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<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> d2 = 3.0 * t * t;</div>
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<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> d3 = t * t * t;</div>
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<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> s = 1.0 - t;</div>
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<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  </div>
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<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> x = ( ( s * p1.x() + d1 * cp1.x() ) * s + d2 * cp2.x() ) * s + d3 * p2.x();</div>
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<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> y = ( ( s * p1.y() + d1 * cp1.y() ) * s + d2 * cp2.y() ) * s + d3 * p2.y();</div>
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<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>  </div>
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<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>  <span class="keywordflow">return</span> QPointF( x, y );</div>
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<div class="line"><a name="l00251"></a><span class="lineno"> 251</span> }</div>
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<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  </div>
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<div class="ttc" id="aclass_q_stack_html"><div class="ttname"><a href="class_q_stack.html">QStack</a></div><div class="ttdef"><b>Definition:</b> <a href="qwt__plot__zoomer_8h_source.html#l00017">qwt_plot_zoomer.h:17</a></div></div>
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<div class="ttc" id="aclass_qwt_bezier_html_a1cac7efebcc8bf42fe9a12552a9d727d"><div class="ttname"><a href="class_qwt_bezier.html#a1cac7efebcc8bf42fe9a12552a9d727d">QwtBezier::toPolygon</a></div><div class="ttdeci">QPolygonF toPolygon(const QPointF &p1, const QPointF &cp1, const QPointF &cp2, const QPointF &p2) const</div><div class="ttdoc">Interpolate a Bézier curve by a polygon.</div><div class="ttdef"><b>Definition:</b> <a href="qwt__bezier_8cpp_source.html#l00157">qwt_bezier.cpp:157</a></div></div>
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<div class="ttc" id="aclass_qwt_bezier_html_a1e67390b7109a819d29b043418bcb1b5"><div class="ttname"><a href="class_qwt_bezier.html#a1e67390b7109a819d29b043418bcb1b5">QwtBezier::appendToPolygon</a></div><div class="ttdeci">void appendToPolygon(const QPointF &p1, const QPointF &cp1, const QPointF &cp2, const QPointF &p2, QPolygonF &polygon) const</div><div class="ttdoc">Interpolate a Bézier curve by a polygon.</div><div class="ttdef"><b>Definition:</b> <a href="qwt__bezier_8cpp_source.html#l00186">qwt_bezier.cpp:186</a></div></div>
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<div class="ttc" id="aclass_qwt_bezier_html_a53b980b7397ef4bdcbc011d6556108b8"><div class="ttname"><a href="class_qwt_bezier.html#a53b980b7397ef4bdcbc011d6556108b8">QwtBezier::tolerance</a></div><div class="ttdeci">double tolerance() const</div><div class="ttdef"><b>Definition:</b> <a href="qwt__bezier_8h_source.html#l00056">qwt_bezier.h:56</a></div></div>
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<div class="ttc" id="aclass_qwt_bezier_html_a5c0ad844ea7d4ee69f3c391fd1a93ae7"><div class="ttname"><a href="class_qwt_bezier.html#a5c0ad844ea7d4ee69f3c391fd1a93ae7">QwtBezier::setTolerance</a></div><div class="ttdeci">void setTolerance(double tolerance)</div><div class="ttdef"><b>Definition:</b> <a href="qwt__bezier_8cpp_source.html#l00141">qwt_bezier.cpp:141</a></div></div>
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<div class="ttc" id="aclass_qwt_bezier_html_a750ad26d6b7a3c37685f03db98868d3f"><div class="ttname"><a href="class_qwt_bezier.html#a750ad26d6b7a3c37685f03db98868d3f">QwtBezier::~QwtBezier</a></div><div class="ttdeci">~QwtBezier()</div><div class="ttdoc">Destructor.</div><div class="ttdef"><b>Definition:</b> <a href="qwt__bezier_8cpp_source.html#l00123">qwt_bezier.cpp:123</a></div></div>
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<div class="ttc" id="aclass_qwt_bezier_html_a7b74d8e4874bc39110c84f74594d61b9"><div class="ttname"><a href="class_qwt_bezier.html#a7b74d8e4874bc39110c84f74594d61b9">QwtBezier::QwtBezier</a></div><div class="ttdeci">QwtBezier(double tolerance=0.5)</div><div class="ttdoc">Constructor.</div><div class="ttdef"><b>Definition:</b> <a href="qwt__bezier_8cpp_source.html#l00116">qwt_bezier.cpp:116</a></div></div>
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<div class="ttc" id="aclass_qwt_bezier_html_a962c356b89fb7fd2343091fed1569530"><div class="ttname"><a href="class_qwt_bezier.html#a962c356b89fb7fd2343091fed1569530">QwtBezier::pointAt</a></div><div class="ttdeci">static QPointF pointAt(const QPointF &p1, const QPointF &cp1, const QPointF &cp2, const QPointF &p2, double t)</div><div class="ttdef"><b>Definition:</b> <a href="qwt__bezier_8cpp_source.html#l00239">qwt_bezier.cpp:239</a></div></div>
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