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<div class="title">qwt_spline_cubic.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_cubic.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_polynomial.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 <qpainterpath.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="preprocessor">#define SLOPES_INCREMENTAL 0</span></div>
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<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="preprocessor">#define KAHAN 0</span></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="keyword">namespace </span>QwtSplineCubicP</div>
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<div class="line"><a name="l00020"></a><span class="lineno"> 20</span> {</div>
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<div class="line"><a name="l00021"></a><span class="lineno"> 21</span>  <span class="keyword">class </span>KahanSum</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="keyword">public</span>:</div>
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<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>  <span class="keyword">inline</span> KahanSum( <span class="keywordtype">double</span> value = 0.0 ):</div>
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<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>  m_sum( value ),</div>
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<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>  m_carry( 0.0 )</div>
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<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  {</div>
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<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  }</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="keyword">inline</span> <span class="keywordtype">void</span> reset()</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>  m_sum = m_carry = 0.0;</div>
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<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  }</div>
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<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  </div>
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<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  <span class="keyword">inline</span> <span class="keywordtype">double</span> value()<span class="keyword"> const</span></div>
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<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="keyword"> </span>{</div>
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<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  <span class="keywordflow">return</span> m_sum;</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>  </div>
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<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  <span class="keyword">inline</span> <span class="keywordtype">void</span> add( <span class="keywordtype">double</span> value )</div>
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<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  {</div>
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<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> y = value - m_carry;</div>
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<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> t = m_sum + y;</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>  m_carry = ( t - m_sum ) - y;</div>
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<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  m_sum = t;</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>  </div>
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<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">double</span> sum3( <span class="keywordtype">double</span> d1, <span class="keywordtype">double</span> d2, <span class="keywordtype">double</span> d3 )</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>  KahanSum sum( d1 );</div>
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<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  sum.add( d2 );</div>
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<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  sum.add( d3 );</div>
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<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  </div>
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<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <span class="keywordflow">return</span> sum.value();</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>  </div>
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<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">double</span> sum4( <span class="keywordtype">double</span> d1, <span class="keywordtype">double</span> d2, <span class="keywordtype">double</span> d3, <span class="keywordtype">double</span> d4 )</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>  KahanSum sum( d1 );</div>
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<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  sum.add( d2 );</div>
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<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  sum.add( d3 );</div>
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<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  sum.add( d4 );</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>  <span class="keywordflow">return</span> sum.value();</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>  </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">private</span>:</div>
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<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <span class="keywordtype">double</span> m_sum;</div>
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<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  <span class="keywordtype">double</span> m_carry; <span class="comment">// The carry from the previous operation</span></div>
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<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  };</div>
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<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  </div>
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<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  <span class="keyword">class </span>CurvatureStore</div>
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<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  {</div>
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<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <span class="keyword">public</span>:</div>
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<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  <span class="keyword">inline</span> <span class="keywordtype">void</span> setup( <span class="keywordtype">int</span> size )</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>  m_curvatures.resize( size );</div>
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<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  m_cv = m_curvatures.data();</div>
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<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  }</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="keyword">inline</span> <span class="keywordtype">void</span> storeFirst( <span class="keywordtype">double</span>,</div>
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<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  <span class="keyword">const</span> QPointF&, <span class="keyword">const</span> QPointF&, <span class="keywordtype">double</span> b1, <span class="keywordtype">double</span> )</div>
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<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  {</div>
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<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  m_cv[0] = 2.0 * b1;</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="keyword">inline</span> <span class="keywordtype">void</span> storeNext( <span class="keywordtype">int</span> index, <span class="keywordtype">double</span>,</div>
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<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  <span class="keyword">const</span> QPointF&, <span class="keyword">const</span> QPointF&, <span class="keywordtype">double</span>, <span class="keywordtype">double</span> b2 )</div>
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<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  {</div>
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<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  m_cv[index] = 2.0 * b2;</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>  </div>
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<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  <span class="keyword">inline</span> <span class="keywordtype">void</span> storeLast( <span class="keywordtype">double</span>,</div>
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<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  <span class="keyword">const</span> QPointF&, <span class="keyword">const</span> QPointF&, <span class="keywordtype">double</span>, <span class="keywordtype">double</span> b2 )</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>  m_cv[m_curvatures.size() - 1] = 2.0 * b2;</div>
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<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  }</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">inline</span> <span class="keywordtype">void</span> storePrevious( <span class="keywordtype">int</span> index, <span class="keywordtype">double</span>,</div>
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<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  <span class="keyword">const</span> QPointF&, <span class="keyword">const</span> QPointF&, <span class="keywordtype">double</span> b1, <span class="keywordtype">double</span> )</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>  m_cv[index] = 2.0 * b1;</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>  </div>
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<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <span class="keyword">inline</span> <span class="keywordtype">void</span> closeR()</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>  m_cv[0] = m_cv[m_curvatures.size() - 1];</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>  </div>
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<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  <a class="code" href="class_q_vector.html">QVector< double ></a> curvatures()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_curvatures; }</div>
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<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  </div>
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<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  <span class="keyword">private</span>:</div>
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<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  <a class="code" href="class_q_vector.html">QVector< double ></a> m_curvatures;</div>
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<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  <span class="keywordtype">double</span>* m_cv;</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>  <span class="keyword">class </span>SlopeStore</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>  <span class="keyword">public</span>:</div>
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<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  <span class="keyword">inline</span> <span class="keywordtype">void</span> setup( <span class="keywordtype">int</span> size )</div>
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<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  {</div>
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<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  m_slopes.resize( size );</div>
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<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  m_m = m_slopes.data();</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>  </div>
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<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  <span class="keyword">inline</span> <span class="keywordtype">void</span> storeFirst( <span class="keywordtype">double</span> h,</div>
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<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  <span class="keyword">const</span> QPointF& p1, <span class="keyword">const</span> QPointF& p2, <span class="keywordtype">double</span> b1, <span class="keywordtype">double</span> b2 )</div>
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<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  {</div>
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<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> s = ( p2.y() - p1.y() ) / h;</div>
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<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  m_m[0] = s - h * ( 2.0 * b1 + b2 ) / 3.0;</div>
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<div class="line"><a name="l00133"></a><span class="lineno"> 133</span> <span class="preprocessor">#if KAHAN</span></div>
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<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  m_sum.add( m_m[0] );</div>
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<div class="line"><a name="l00135"></a><span class="lineno"> 135</span> <span class="preprocessor">#endif</span></div>
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<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  }</div>
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<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  </div>
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<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  <span class="keyword">inline</span> <span class="keywordtype">void</span> storeNext( <span class="keywordtype">int</span> index, <span class="keywordtype">double</span> h,</div>
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<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  <span class="keyword">const</span> QPointF& p1, <span class="keyword">const</span> QPointF& p2, <span class="keywordtype">double</span> b1, <span class="keywordtype">double</span> b2 )</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="preprocessor">#if SLOPES_INCREMENTAL</span></div>
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<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  Q_UNUSED( p1 )</div>
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<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  Q_UNUSED( p2 )</div>
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<div class="line"><a name="l00144"></a><span class="lineno"> 144</span> <span class="preprocessor">#if KAHAN</span></div>
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<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  m_sum.add( ( b1 + b2 ) * h );</div>
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<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  m_m[index] = m_sum.value();</div>
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<div class="line"><a name="l00147"></a><span class="lineno"> 147</span> <span class="preprocessor">#else</span></div>
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<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  m_m[index] = m_m[index - 1] + ( b1 + b2 ) * h;</div>
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<div class="line"><a name="l00149"></a><span class="lineno"> 149</span> <span class="preprocessor">#endif</span></div>
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<div class="line"><a name="l00150"></a><span class="lineno"> 150</span> <span class="preprocessor">#else</span></div>
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<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> s = ( p2.y() - p1.y() ) / h;</div>
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<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  m_m[index] = s + h * ( b1 + 2.0 * b2 ) / 3.0;</div>
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<div class="line"><a name="l00153"></a><span class="lineno"> 153</span> <span class="preprocessor">#endif</span></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>  <span class="keyword">inline</span> <span class="keywordtype">void</span> storeLast( <span class="keywordtype">double</span> h,</div>
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<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  <span class="keyword">const</span> QPointF& p1, <span class="keyword">const</span> QPointF& p2, <span class="keywordtype">double</span> b1, <span class="keywordtype">double</span> b2 )</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="keyword">const</span> <span class="keywordtype">double</span> s = ( p2.y() - p1.y() ) / h;</div>
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<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  m_m[m_slopes.size() - 1] = s + h * ( b1 + 2.0 * b2 ) / 3.0;</div>
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<div class="line"><a name="l00161"></a><span class="lineno"> 161</span> <span class="preprocessor">#if KAHAN</span></div>
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<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  m_sum.add( m_m[m_slopes.size() - 1] );</div>
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<div class="line"><a name="l00163"></a><span class="lineno"> 163</span> <span class="preprocessor">#endif</span></div>
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<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  }</div>
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<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  </div>
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<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  <span class="keyword">inline</span> <span class="keywordtype">void</span> storePrevious( <span class="keywordtype">int</span> index, <span class="keywordtype">double</span> h,</div>
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<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  <span class="keyword">const</span> QPointF& p1, <span class="keyword">const</span> QPointF& p2, <span class="keywordtype">double</span> b1, <span class="keywordtype">double</span> b2 )</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> <span class="preprocessor">#if SLOPES_INCREMENTAL</span></div>
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<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  Q_UNUSED( p1 )</div>
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<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  Q_UNUSED( p2 )</div>
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<div class="line"><a name="l00172"></a><span class="lineno"> 172</span> <span class="preprocessor">#if KAHAN</span></div>
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<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  m_sum.add( -( b1 + b2 ) * h );</div>
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<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  m_m[index] = m_sum.value();</div>
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<div class="line"><a name="l00175"></a><span class="lineno"> 175</span> <span class="preprocessor">#else</span></div>
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<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  m_m[index] = m_m[index + 1] - ( b1 + b2 ) * h;</div>
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<div class="line"><a name="l00177"></a><span class="lineno"> 177</span> <span class="preprocessor">#endif</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> <span class="preprocessor">#else</span></div>
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<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> s = ( p2.y() - p1.y() ) / h;</div>
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<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  m_m[index] = s - h * ( 2.0 * b1 + b2 ) / 3.0;</div>
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<div class="line"><a name="l00182"></a><span class="lineno"> 182</span> <span class="preprocessor">#endif</span></div>
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<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  }</div>
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<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  </div>
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<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  <span class="keyword">inline</span> <span class="keywordtype">void</span> closeR()</div>
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<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  {</div>
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<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  m_m[0] = m_m[m_slopes.size() - 1];</div>
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<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  }</div>
|
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<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  </div>
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<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  <a class="code" href="class_q_vector.html">QVector< double ></a> slopes()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_slopes; }</div>
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<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  </div>
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<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  <span class="keyword">private</span>:</div>
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<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  <a class="code" href="class_q_vector.html">QVector< double ></a> m_slopes;</div>
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<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  <span class="keywordtype">double</span>* m_m;</div>
|
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<div class="line"><a name="l00195"></a><span class="lineno"> 195</span> <span class="preprocessor">#if SLOPES_INCREMENTAL</span></div>
|
|
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  KahanSum m_sum;</div>
|
|
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span> <span class="preprocessor">#endif</span></div>
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|
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  };</div>
|
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<div class="line"><a name="l00199"></a><span class="lineno"> 199</span> }</div>
|
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<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>  </div>
|
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<div class="line"><a name="l00201"></a><span class="lineno"> 201</span> <span class="keyword">namespace </span>QwtSplineCubicP</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">class </span>Equation2</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="keyword">public</span>:</div>
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|
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  <span class="keyword">inline</span> Equation2()</div>
|
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<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  {</div>
|
|
<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>  </div>
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<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  <span class="keyword">inline</span> Equation2( <span class="keywordtype">double</span> p0, <span class="keywordtype">double</span> q0, <span class="keywordtype">double</span> r0 ):</div>
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<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  p( p0 ),</div>
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<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  q( q0 ),</div>
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<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  r( r0 )</div>
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<div class="line"><a name="l00214"></a><span class="lineno"> 214</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>  <span class="keyword">inline</span> <span class="keywordtype">void</span> setup( <span class="keywordtype">double</span> p0, <span class="keywordtype">double</span> q0, <span class="keywordtype">double</span> r0 )</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>  p = p0;</div>
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<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  q = q0;</div>
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<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  r = r0;</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>  </div>
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<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  <span class="keyword">inline</span> Equation2 normalized()<span class="keyword"> const</span></div>
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<div class="line"><a name="l00225"></a><span class="lineno"> 225</span> <span class="keyword"> </span>{</div>
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<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>  Equation2 c;</div>
|
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<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>  c.p = 1.0;</div>
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<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  c.q = q / p;</div>
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<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  c.r = r / p;</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="l00231"></a><span class="lineno"> 231</span>  <span class="keywordflow">return</span> c;</div>
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<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  }</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>  <span class="keyword">inline</span> <span class="keywordtype">double</span> resolved1( <span class="keywordtype">double</span> x2 )<span class="keyword"> const</span></div>
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<div class="line"><a name="l00235"></a><span class="lineno"> 235</span> <span class="keyword"> </span>{</div>
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<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>  <span class="keywordflow">return</span> ( r - q * x2 ) / p;</div>
|
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<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>  }</div>
|
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<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  </div>
|
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<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  <span class="keyword">inline</span> <span class="keywordtype">double</span> resolved2( <span class="keywordtype">double</span> x1 )<span class="keyword"> const</span></div>
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<div class="line"><a name="l00240"></a><span class="lineno"> 240</span> <span class="keyword"> </span>{</div>
|
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<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>  <span class="keywordflow">return</span> ( r - p * x1 ) / q;</div>
|
|
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>  }</div>
|
|
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>  </div>
|
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<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>  <span class="keyword">inline</span> <span class="keywordtype">double</span> resolved1( <span class="keyword">const</span> Equation2& eq )<span class="keyword"> const</span></div>
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<div class="line"><a name="l00245"></a><span class="lineno"> 245</span> <span class="keyword"> </span>{</div>
|
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<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  <span class="comment">// find x1</span></div>
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<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  <span class="keywordtype">double</span> k = q / eq.q;</div>
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<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  <span class="keywordflow">return</span> ( r - k * eq.r ) / ( p - k * eq.p );</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>  </div>
|
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<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  <span class="keyword">inline</span> <span class="keywordtype">double</span> resolved2( <span class="keyword">const</span> Equation2& eq )<span class="keyword"> const</span></div>
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<div class="line"><a name="l00252"></a><span class="lineno"> 252</span> <span class="keyword"> </span>{</div>
|
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<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>  <span class="comment">// find x2</span></div>
|
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<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> k = p / eq.p;</div>
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<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>  <span class="keywordflow">return</span> ( r - k * eq.r ) / ( q - k * eq.q );</div>
|
|
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  }</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="comment">// p * x1 + q * x2 = r</span></div>
|
|
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>  <span class="keywordtype">double</span> p, q, r;</div>
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<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>  };</div>
|
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<div class="line"><a name="l00261"></a><span class="lineno"> 261</span>  </div>
|
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<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>  <span class="keyword">class </span>Equation3</div>
|
|
<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>  {</div>
|
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<div class="line"><a name="l00264"></a><span class="lineno"> 264</span>  <span class="keyword">public</span>:</div>
|
|
<div class="line"><a name="l00265"></a><span class="lineno"> 265</span>  <span class="keyword">inline</span> Equation3()</div>
|
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<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>  {</div>
|
|
<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="keyword">inline</span> Equation3( <span class="keyword">const</span> QPointF& p1, <span class="keyword">const</span> QPointF& p2, <span class="keyword">const</span> QPointF& p3 )</div>
|
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<div class="line"><a name="l00270"></a><span class="lineno"> 270</span>  {</div>
|
|
<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> h1 = p2.x() - p1.x();</div>
|
|
<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> s1 = ( p2.y() - p1.y() ) / h1;</div>
|
|
<div class="line"><a name="l00273"></a><span class="lineno"> 273</span>  </div>
|
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<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> h2 = p3.x() - p2.x();</div>
|
|
<div class="line"><a name="l00275"></a><span class="lineno"> 275</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> s2 = ( p3.y() - p2.y() ) / h2;</div>
|
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<div class="line"><a name="l00276"></a><span class="lineno"> 276</span>  </div>
|
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<div class="line"><a name="l00277"></a><span class="lineno"> 277</span>  p = h1;</div>
|
|
<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>  q = 2 * ( h1 + h2 );</div>
|
|
<div class="line"><a name="l00279"></a><span class="lineno"> 279</span>  u = h2;</div>
|
|
<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>  r = 3 * ( s2 - s1 );</div>
|
|
<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>  }</div>
|
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<div class="line"><a name="l00282"></a><span class="lineno"> 282</span>  </div>
|
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<div class="line"><a name="l00283"></a><span class="lineno"> 283</span>  <span class="keyword">inline</span> Equation3( <span class="keywordtype">double</span> cp, <span class="keywordtype">double</span> cq, <span class="keywordtype">double</span> du, <span class="keywordtype">double</span> dr ):</div>
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|
<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>  p( cp ),</div>
|
|
<div class="line"><a name="l00285"></a><span class="lineno"> 285</span>  q( cq ),</div>
|
|
<div class="line"><a name="l00286"></a><span class="lineno"> 286</span>  u( du ),</div>
|
|
<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>  r( dr )</div>
|
|
<div class="line"><a name="l00288"></a><span class="lineno"> 288</span>  {</div>
|
|
<div class="line"><a name="l00289"></a><span class="lineno"> 289</span>  }</div>
|
|
<div class="line"><a name="l00290"></a><span class="lineno"> 290</span>  </div>
|
|
<div class="line"><a name="l00291"></a><span class="lineno"> 291</span>  <span class="keyword">inline</span> <span class="keywordtype">bool</span> operator==( <span class="keyword">const</span> Equation3& c )<span class="keyword"> const</span></div>
|
|
<div class="line"><a name="l00292"></a><span class="lineno"> 292</span> <span class="keyword"> </span>{</div>
|
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<div class="line"><a name="l00293"></a><span class="lineno"> 293</span>  <span class="keywordflow">return</span> ( p == c.p ) && ( q == c.q ) &&</div>
|
|
<div class="line"><a name="l00294"></a><span class="lineno"> 294</span>  ( u == c.u ) && ( r == c.r );</div>
|
|
<div class="line"><a name="l00295"></a><span class="lineno"> 295</span>  }</div>
|
|
<div class="line"><a name="l00296"></a><span class="lineno"> 296</span>  </div>
|
|
<div class="line"><a name="l00297"></a><span class="lineno"> 297</span>  <span class="keyword">inline</span> <span class="keywordtype">void</span> setup( <span class="keywordtype">double</span> cp, <span class="keywordtype">double</span> cq, <span class="keywordtype">double</span> du, <span class="keywordtype">double</span> dr )</div>
|
|
<div class="line"><a name="l00298"></a><span class="lineno"> 298</span>  {</div>
|
|
<div class="line"><a name="l00299"></a><span class="lineno"> 299</span>  p = cp;</div>
|
|
<div class="line"><a name="l00300"></a><span class="lineno"> 300</span>  q = cq;</div>
|
|
<div class="line"><a name="l00301"></a><span class="lineno"> 301</span>  u = du;</div>
|
|
<div class="line"><a name="l00302"></a><span class="lineno"> 302</span>  r = dr;</div>
|
|
<div class="line"><a name="l00303"></a><span class="lineno"> 303</span>  }</div>
|
|
<div class="line"><a name="l00304"></a><span class="lineno"> 304</span>  </div>
|
|
<div class="line"><a name="l00305"></a><span class="lineno"> 305</span>  <span class="keyword">inline</span> Equation3 normalized()<span class="keyword"> const</span></div>
|
|
<div class="line"><a name="l00306"></a><span class="lineno"> 306</span> <span class="keyword"> </span>{</div>
|
|
<div class="line"><a name="l00307"></a><span class="lineno"> 307</span>  Equation3 c;</div>
|
|
<div class="line"><a name="l00308"></a><span class="lineno"> 308</span>  c.p = 1.0;</div>
|
|
<div class="line"><a name="l00309"></a><span class="lineno"> 309</span>  c.q = q / p;</div>
|
|
<div class="line"><a name="l00310"></a><span class="lineno"> 310</span>  c.u = u / p;</div>
|
|
<div class="line"><a name="l00311"></a><span class="lineno"> 311</span>  c.r = r / p;</div>
|
|
<div class="line"><a name="l00312"></a><span class="lineno"> 312</span>  </div>
|
|
<div class="line"><a name="l00313"></a><span class="lineno"> 313</span>  <span class="keywordflow">return</span> c;</div>
|
|
<div class="line"><a name="l00314"></a><span class="lineno"> 314</span>  }</div>
|
|
<div class="line"><a name="l00315"></a><span class="lineno"> 315</span>  </div>
|
|
<div class="line"><a name="l00316"></a><span class="lineno"> 316</span>  <span class="keyword">inline</span> Equation2 substituted1( <span class="keyword">const</span> Equation3& eq )<span class="keyword"> const</span></div>
|
|
<div class="line"><a name="l00317"></a><span class="lineno"> 317</span> <span class="keyword"> </span>{</div>
|
|
<div class="line"><a name="l00318"></a><span class="lineno"> 318</span>  <span class="comment">// eliminate x1</span></div>
|
|
<div class="line"><a name="l00319"></a><span class="lineno"> 319</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> k = p / eq.p;</div>
|
|
<div class="line"><a name="l00320"></a><span class="lineno"> 320</span>  <span class="keywordflow">return</span> Equation2( q - k * eq.q, u - k * eq.u, r - k * eq.r );</div>
|
|
<div class="line"><a name="l00321"></a><span class="lineno"> 321</span>  }</div>
|
|
<div class="line"><a name="l00322"></a><span class="lineno"> 322</span>  </div>
|
|
<div class="line"><a name="l00323"></a><span class="lineno"> 323</span>  <span class="keyword">inline</span> Equation2 substituted2( <span class="keyword">const</span> Equation3& eq )<span class="keyword"> const</span></div>
|
|
<div class="line"><a name="l00324"></a><span class="lineno"> 324</span> <span class="keyword"> </span>{</div>
|
|
<div class="line"><a name="l00325"></a><span class="lineno"> 325</span>  <span class="comment">// eliminate x2</span></div>
|
|
<div class="line"><a name="l00326"></a><span class="lineno"> 326</span>  </div>
|
|
<div class="line"><a name="l00327"></a><span class="lineno"> 327</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> k = q / eq.q;</div>
|
|
<div class="line"><a name="l00328"></a><span class="lineno"> 328</span>  <span class="keywordflow">return</span> Equation2( p - k * eq.p, u - k * eq.u, r - k * eq.r );</div>
|
|
<div class="line"><a name="l00329"></a><span class="lineno"> 329</span>  }</div>
|
|
<div class="line"><a name="l00330"></a><span class="lineno"> 330</span>  </div>
|
|
<div class="line"><a name="l00331"></a><span class="lineno"> 331</span>  <span class="keyword">inline</span> Equation2 substituted3( <span class="keyword">const</span> Equation3& eq )<span class="keyword"> const</span></div>
|
|
<div class="line"><a name="l00332"></a><span class="lineno"> 332</span> <span class="keyword"> </span>{</div>
|
|
<div class="line"><a name="l00333"></a><span class="lineno"> 333</span>  <span class="comment">// eliminate x3</span></div>
|
|
<div class="line"><a name="l00334"></a><span class="lineno"> 334</span>  </div>
|
|
<div class="line"><a name="l00335"></a><span class="lineno"> 335</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> k = u / eq.u;</div>
|
|
<div class="line"><a name="l00336"></a><span class="lineno"> 336</span>  <span class="keywordflow">return</span> Equation2( p - k * eq.p, q - k * eq.q, r - k * eq.r );</div>
|
|
<div class="line"><a name="l00337"></a><span class="lineno"> 337</span>  }</div>
|
|
<div class="line"><a name="l00338"></a><span class="lineno"> 338</span>  </div>
|
|
<div class="line"><a name="l00339"></a><span class="lineno"> 339</span>  <span class="keyword">inline</span> Equation2 substituted1( <span class="keyword">const</span> Equation2& eq )<span class="keyword"> const</span></div>
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|
<div class="line"><a name="l00340"></a><span class="lineno"> 340</span> <span class="keyword"> </span>{</div>
|
|
<div class="line"><a name="l00341"></a><span class="lineno"> 341</span>  <span class="comment">// eliminate x1</span></div>
|
|
<div class="line"><a name="l00342"></a><span class="lineno"> 342</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> k = p / eq.p;</div>
|
|
<div class="line"><a name="l00343"></a><span class="lineno"> 343</span>  <span class="keywordflow">return</span> Equation2( q - k * eq.q, u, r - k * eq.r );</div>
|
|
<div class="line"><a name="l00344"></a><span class="lineno"> 344</span>  }</div>
|
|
<div class="line"><a name="l00345"></a><span class="lineno"> 345</span>  </div>
|
|
<div class="line"><a name="l00346"></a><span class="lineno"> 346</span>  <span class="keyword">inline</span> Equation2 substituted3( <span class="keyword">const</span> Equation2& eq )<span class="keyword"> const</span></div>
|
|
<div class="line"><a name="l00347"></a><span class="lineno"> 347</span> <span class="keyword"> </span>{</div>
|
|
<div class="line"><a name="l00348"></a><span class="lineno"> 348</span>  <span class="comment">// eliminate x3</span></div>
|
|
<div class="line"><a name="l00349"></a><span class="lineno"> 349</span>  </div>
|
|
<div class="line"><a name="l00350"></a><span class="lineno"> 350</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> k = u / eq.q;</div>
|
|
<div class="line"><a name="l00351"></a><span class="lineno"> 351</span>  <span class="keywordflow">return</span> Equation2( p, q - k * eq.p, r - k * eq.r );</div>
|
|
<div class="line"><a name="l00352"></a><span class="lineno"> 352</span>  }</div>
|
|
<div class="line"><a name="l00353"></a><span class="lineno"> 353</span>  </div>
|
|
<div class="line"><a name="l00354"></a><span class="lineno"> 354</span>  </div>
|
|
<div class="line"><a name="l00355"></a><span class="lineno"> 355</span>  <span class="keyword">inline</span> <span class="keywordtype">double</span> resolved1( <span class="keywordtype">double</span> x2, <span class="keywordtype">double</span> x3 )<span class="keyword"> const</span></div>
|
|
<div class="line"><a name="l00356"></a><span class="lineno"> 356</span> <span class="keyword"> </span>{</div>
|
|
<div class="line"><a name="l00357"></a><span class="lineno"> 357</span>  <span class="keywordflow">return</span> ( r - q * x2 - u * x3 ) / p;</div>
|
|
<div class="line"><a name="l00358"></a><span class="lineno"> 358</span>  }</div>
|
|
<div class="line"><a name="l00359"></a><span class="lineno"> 359</span>  </div>
|
|
<div class="line"><a name="l00360"></a><span class="lineno"> 360</span>  <span class="keyword">inline</span> <span class="keywordtype">double</span> resolved2( <span class="keywordtype">double</span> x1, <span class="keywordtype">double</span> x3 )<span class="keyword"> const</span></div>
|
|
<div class="line"><a name="l00361"></a><span class="lineno"> 361</span> <span class="keyword"> </span>{</div>
|
|
<div class="line"><a name="l00362"></a><span class="lineno"> 362</span>  <span class="keywordflow">return</span> ( r - u * x3 - p * x1 ) / q;</div>
|
|
<div class="line"><a name="l00363"></a><span class="lineno"> 363</span>  }</div>
|
|
<div class="line"><a name="l00364"></a><span class="lineno"> 364</span>  </div>
|
|
<div class="line"><a name="l00365"></a><span class="lineno"> 365</span>  <span class="keyword">inline</span> <span class="keywordtype">double</span> resolved3( <span class="keywordtype">double</span> x1, <span class="keywordtype">double</span> x2 )<span class="keyword"> const</span></div>
|
|
<div class="line"><a name="l00366"></a><span class="lineno"> 366</span> <span class="keyword"> </span>{</div>
|
|
<div class="line"><a name="l00367"></a><span class="lineno"> 367</span>  <span class="keywordflow">return</span> ( r - p * x1 - q * x2 ) / u;</div>
|
|
<div class="line"><a name="l00368"></a><span class="lineno"> 368</span>  }</div>
|
|
<div class="line"><a name="l00369"></a><span class="lineno"> 369</span>  </div>
|
|
<div class="line"><a name="l00370"></a><span class="lineno"> 370</span>  <span class="comment">// p * x1 + q * x2 + u * x3 = r</span></div>
|
|
<div class="line"><a name="l00371"></a><span class="lineno"> 371</span>  <span class="keywordtype">double</span> p, q, u, r;</div>
|
|
<div class="line"><a name="l00372"></a><span class="lineno"> 372</span>  };</div>
|
|
<div class="line"><a name="l00373"></a><span class="lineno"> 373</span> }</div>
|
|
<div class="line"><a name="l00374"></a><span class="lineno"> 374</span>  </div>
|
|
<div class="line"><a name="l00375"></a><span class="lineno"> 375</span> <span class="preprocessor">#if 0</span></div>
|
|
<div class="line"><a name="l00376"></a><span class="lineno"> 376</span> <span class="keyword">static</span> QDebug operator<<( QDebug debug, <span class="keyword">const</span> QwtSplineCubicP::Equation2& eq )</div>
|
|
<div class="line"><a name="l00377"></a><span class="lineno"> 377</span> {</div>
|
|
<div class="line"><a name="l00378"></a><span class="lineno"> 378</span>  debug.nospace() << <span class="stringliteral">"EQ2("</span> << eq.p << <span class="stringliteral">", "</span> << eq.q << <span class="stringliteral">", "</span> << eq.r << <span class="stringliteral">")"</span>;</div>
|
|
<div class="line"><a name="l00379"></a><span class="lineno"> 379</span>  <span class="keywordflow">return</span> debug.space();</div>
|
|
<div class="line"><a name="l00380"></a><span class="lineno"> 380</span> }</div>
|
|
<div class="line"><a name="l00381"></a><span class="lineno"> 381</span>  </div>
|
|
<div class="line"><a name="l00382"></a><span class="lineno"> 382</span> <span class="keyword">static</span> QDebug operator<<( QDebug debug, <span class="keyword">const</span> QwtSplineCubicP::Equation3& eq )</div>
|
|
<div class="line"><a name="l00383"></a><span class="lineno"> 383</span> {</div>
|
|
<div class="line"><a name="l00384"></a><span class="lineno"> 384</span>  debug.nospace() << <span class="stringliteral">"EQ3("</span> << eq.p << <span class="stringliteral">", "</span></div>
|
|
<div class="line"><a name="l00385"></a><span class="lineno"> 385</span>  << eq.q << <span class="stringliteral">", "</span> << eq.u << <span class="stringliteral">", "</span> << eq.r << <span class="stringliteral">")"</span>;</div>
|
|
<div class="line"><a name="l00386"></a><span class="lineno"> 386</span>  <span class="keywordflow">return</span> debug.space();</div>
|
|
<div class="line"><a name="l00387"></a><span class="lineno"> 387</span> }</div>
|
|
<div class="line"><a name="l00388"></a><span class="lineno"> 388</span> <span class="preprocessor">#endif</span></div>
|
|
<div class="line"><a name="l00389"></a><span class="lineno"> 389</span>  </div>
|
|
<div class="line"><a name="l00390"></a><span class="lineno"> 390</span> <span class="keyword">namespace </span>QwtSplineCubicP</div>
|
|
<div class="line"><a name="l00391"></a><span class="lineno"> 391</span> {</div>
|
|
<div class="line"><a name="l00392"></a><span class="lineno"> 392</span>  <span class="keyword">template</span>< <span class="keyword">class</span> T ></div>
|
|
<div class="line"><a name="l00393"></a><span class="lineno"> 393</span>  <span class="keyword">class </span>EquationSystem</div>
|
|
<div class="line"><a name="l00394"></a><span class="lineno"> 394</span>  {</div>
|
|
<div class="line"><a name="l00395"></a><span class="lineno"> 395</span>  <span class="keyword">public</span>:</div>
|
|
<div class="line"><a name="l00396"></a><span class="lineno"> 396</span>  <span class="keywordtype">void</span> setStartCondition( <span class="keywordtype">double</span> p, <span class="keywordtype">double</span> q, <span class="keywordtype">double</span> u, <span class="keywordtype">double</span> r )</div>
|
|
<div class="line"><a name="l00397"></a><span class="lineno"> 397</span>  {</div>
|
|
<div class="line"><a name="l00398"></a><span class="lineno"> 398</span>  m_conditionsEQ[0].setup( p, q, u, r );</div>
|
|
<div class="line"><a name="l00399"></a><span class="lineno"> 399</span>  }</div>
|
|
<div class="line"><a name="l00400"></a><span class="lineno"> 400</span>  </div>
|
|
<div class="line"><a name="l00401"></a><span class="lineno"> 401</span>  <span class="keywordtype">void</span> setEndCondition( <span class="keywordtype">double</span> p, <span class="keywordtype">double</span> q, <span class="keywordtype">double</span> u, <span class="keywordtype">double</span> r )</div>
|
|
<div class="line"><a name="l00402"></a><span class="lineno"> 402</span>  {</div>
|
|
<div class="line"><a name="l00403"></a><span class="lineno"> 403</span>  m_conditionsEQ[1].setup( p, q, u, r );</div>
|
|
<div class="line"><a name="l00404"></a><span class="lineno"> 404</span>  }</div>
|
|
<div class="line"><a name="l00405"></a><span class="lineno"> 405</span>  </div>
|
|
<div class="line"><a name="l00406"></a><span class="lineno"> 406</span>  <span class="keyword">const</span> T& store()<span class="keyword"> const</span></div>
|
|
<div class="line"><a name="l00407"></a><span class="lineno"> 407</span> <span class="keyword"> </span>{</div>
|
|
<div class="line"><a name="l00408"></a><span class="lineno"> 408</span>  <span class="keywordflow">return</span> m_store;</div>
|
|
<div class="line"><a name="l00409"></a><span class="lineno"> 409</span>  }</div>
|
|
<div class="line"><a name="l00410"></a><span class="lineno"> 410</span>  </div>
|
|
<div class="line"><a name="l00411"></a><span class="lineno"> 411</span>  <span class="keywordtype">void</span> resolve( <span class="keyword">const</span> QPolygonF& p )</div>
|
|
<div class="line"><a name="l00412"></a><span class="lineno"> 412</span>  {</div>
|
|
<div class="line"><a name="l00413"></a><span class="lineno"> 413</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> n = p.size();</div>
|
|
<div class="line"><a name="l00414"></a><span class="lineno"> 414</span>  <span class="keywordflow">if</span> ( n < 3 )</div>
|
|
<div class="line"><a name="l00415"></a><span class="lineno"> 415</span>  <span class="keywordflow">return</span>;</div>
|
|
<div class="line"><a name="l00416"></a><span class="lineno"> 416</span>  </div>
|
|
<div class="line"><a name="l00417"></a><span class="lineno"> 417</span>  <span class="keywordflow">if</span> ( m_conditionsEQ[0].p == 0.0 ||</div>
|
|
<div class="line"><a name="l00418"></a><span class="lineno"> 418</span>  ( m_conditionsEQ[0].q == 0.0 && m_conditionsEQ[0].u != 0.0 ) )</div>
|
|
<div class="line"><a name="l00419"></a><span class="lineno"> 419</span>  {</div>
|
|
<div class="line"><a name="l00420"></a><span class="lineno"> 420</span>  <span class="keywordflow">return</span>;</div>
|
|
<div class="line"><a name="l00421"></a><span class="lineno"> 421</span>  }</div>
|
|
<div class="line"><a name="l00422"></a><span class="lineno"> 422</span>  </div>
|
|
<div class="line"><a name="l00423"></a><span class="lineno"> 423</span>  <span class="keywordflow">if</span> ( m_conditionsEQ[1].u == 0.0 ||</div>
|
|
<div class="line"><a name="l00424"></a><span class="lineno"> 424</span>  ( m_conditionsEQ[1].q == 0.0 && m_conditionsEQ[1].p != 0.0 ) )</div>
|
|
<div class="line"><a name="l00425"></a><span class="lineno"> 425</span>  {</div>
|
|
<div class="line"><a name="l00426"></a><span class="lineno"> 426</span>  <span class="keywordflow">return</span>;</div>
|
|
<div class="line"><a name="l00427"></a><span class="lineno"> 427</span>  }</div>
|
|
<div class="line"><a name="l00428"></a><span class="lineno"> 428</span>  </div>
|
|
<div class="line"><a name="l00429"></a><span class="lineno"> 429</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> h0 = p[1].x() - p[0].x();</div>
|
|
<div class="line"><a name="l00430"></a><span class="lineno"> 430</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> h1 = p[2].x() - p[1].x();</div>
|
|
<div class="line"><a name="l00431"></a><span class="lineno"> 431</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> hn = p[n - 1].x() - p[n - 2].x();</div>
|
|
<div class="line"><a name="l00432"></a><span class="lineno"> 432</span>  </div>
|
|
<div class="line"><a name="l00433"></a><span class="lineno"> 433</span>  m_store.setup( n );</div>
|
|
<div class="line"><a name="l00434"></a><span class="lineno"> 434</span>  </div>
|
|
<div class="line"><a name="l00435"></a><span class="lineno"> 435</span>  </div>
|
|
<div class="line"><a name="l00436"></a><span class="lineno"> 436</span>  <span class="keywordflow">if</span> ( n == 3 )</div>
|
|
<div class="line"><a name="l00437"></a><span class="lineno"> 437</span>  {</div>
|
|
<div class="line"><a name="l00438"></a><span class="lineno"> 438</span>  <span class="comment">// For certain conditions the first/last point does not</span></div>
|
|
<div class="line"><a name="l00439"></a><span class="lineno"> 439</span>  <span class="comment">// necessarily meet the spline equation and we would</span></div>
|
|
<div class="line"><a name="l00440"></a><span class="lineno"> 440</span>  <span class="comment">// have many solutions. In this case we resolve using</span></div>
|
|
<div class="line"><a name="l00441"></a><span class="lineno"> 441</span>  <span class="comment">// the spline equation - as for all other conditions.</span></div>
|
|
<div class="line"><a name="l00442"></a><span class="lineno"> 442</span>  </div>
|
|
<div class="line"><a name="l00443"></a><span class="lineno"> 443</span>  <span class="keyword">const</span> Equation3 eqSpline0( p[0], p[1], p[2] ); <span class="comment">// ???</span></div>
|
|
<div class="line"><a name="l00444"></a><span class="lineno"> 444</span>  <span class="keyword">const</span> Equation2 eq0 = m_conditionsEQ[0].substituted1( eqSpline0 );</div>
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|
<div class="line"><a name="l00445"></a><span class="lineno"> 445</span>  </div>
|
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<div class="line"><a name="l00446"></a><span class="lineno"> 446</span>  <span class="comment">// The equation system can be solved without substitution</span></div>
|
|
<div class="line"><a name="l00447"></a><span class="lineno"> 447</span>  <span class="comment">// from the start/end conditions and eqSpline0 ( = eqSplineN ).</span></div>
|
|
<div class="line"><a name="l00448"></a><span class="lineno"> 448</span>  </div>
|
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<div class="line"><a name="l00449"></a><span class="lineno"> 449</span>  <span class="keywordtype">double</span> b1;</div>
|
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<div class="line"><a name="l00450"></a><span class="lineno"> 450</span>  </div>
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<div class="line"><a name="l00451"></a><span class="lineno"> 451</span>  <span class="keywordflow">if</span> ( m_conditionsEQ[0].normalized() == m_conditionsEQ[1].normalized() )</div>
|
|
<div class="line"><a name="l00452"></a><span class="lineno"> 452</span>  {</div>
|
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<div class="line"><a name="l00453"></a><span class="lineno"> 453</span>  <span class="comment">// When we have 3 points only and start/end conditions</span></div>
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<div class="line"><a name="l00454"></a><span class="lineno"> 454</span>  <span class="comment">// for 3 points mean the same condition the system</span></div>
|
|
<div class="line"><a name="l00455"></a><span class="lineno"> 455</span>  <span class="comment">// is under-determined and has many solutions.</span></div>
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|
<div class="line"><a name="l00456"></a><span class="lineno"> 456</span>  <span class="comment">// We chose b1 = 0.0</span></div>
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<div class="line"><a name="l00457"></a><span class="lineno"> 457</span>  </div>
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<div class="line"><a name="l00458"></a><span class="lineno"> 458</span>  b1 = 0.0;</div>
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<div class="line"><a name="l00459"></a><span class="lineno"> 459</span>  }</div>
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<div class="line"><a name="l00460"></a><span class="lineno"> 460</span>  <span class="keywordflow">else</span></div>
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<div class="line"><a name="l00461"></a><span class="lineno"> 461</span>  {</div>
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<div class="line"><a name="l00462"></a><span class="lineno"> 462</span>  <span class="keyword">const</span> Equation2 eq = m_conditionsEQ[1].substituted1( eqSpline0 );</div>
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<div class="line"><a name="l00463"></a><span class="lineno"> 463</span>  b1 = eq0.resolved1( eq );</div>
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<div class="line"><a name="l00464"></a><span class="lineno"> 464</span>  }</div>
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<div class="line"><a name="l00465"></a><span class="lineno"> 465</span>  </div>
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<div class="line"><a name="l00466"></a><span class="lineno"> 466</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> b2 = eq0.resolved2( b1 );</div>
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<div class="line"><a name="l00467"></a><span class="lineno"> 467</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> b0 = eqSpline0.resolved1( b1, b2 );</div>
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<div class="line"><a name="l00468"></a><span class="lineno"> 468</span>  </div>
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<div class="line"><a name="l00469"></a><span class="lineno"> 469</span>  m_store.storeFirst( h0, p[0], p[1], b0, b1 );</div>
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<div class="line"><a name="l00470"></a><span class="lineno"> 470</span>  m_store.storeNext( 1, h0, p[0], p[1], b0, b1 );</div>
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<div class="line"><a name="l00471"></a><span class="lineno"> 471</span>  m_store.storeNext( 2, h1, p[1], p[2], b1, b2 );</div>
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|
<div class="line"><a name="l00472"></a><span class="lineno"> 472</span>  </div>
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<div class="line"><a name="l00473"></a><span class="lineno"> 473</span>  <span class="keywordflow">return</span>;</div>
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<div class="line"><a name="l00474"></a><span class="lineno"> 474</span>  }</div>
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<div class="line"><a name="l00475"></a><span class="lineno"> 475</span>  </div>
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<div class="line"><a name="l00476"></a><span class="lineno"> 476</span>  <span class="keyword">const</span> Equation3 eqSplineN( p[n - 3], p[n - 2], p[n - 1] );</div>
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<div class="line"><a name="l00477"></a><span class="lineno"> 477</span>  <span class="keyword">const</span> Equation2 eqN = m_conditionsEQ[1].substituted3( eqSplineN );</div>
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<div class="line"><a name="l00478"></a><span class="lineno"> 478</span>  </div>
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<div class="line"><a name="l00479"></a><span class="lineno"> 479</span>  Equation2 eq = eqN;</div>
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<div class="line"><a name="l00480"></a><span class="lineno"> 480</span>  <span class="keywordflow">if</span> ( n > 4 )</div>
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<div class="line"><a name="l00481"></a><span class="lineno"> 481</span>  {</div>
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<div class="line"><a name="l00482"></a><span class="lineno"> 482</span>  <span class="keyword">const</span> Equation3 eqSplineR( p[n - 4], p[n - 3], p[n - 2] );</div>
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<div class="line"><a name="l00483"></a><span class="lineno"> 483</span>  eq = eqSplineR.substituted3( eq );</div>
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<div class="line"><a name="l00484"></a><span class="lineno"> 484</span>  eq = substituteSpline( p, eq );</div>
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<div class="line"><a name="l00485"></a><span class="lineno"> 485</span>  }</div>
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<div class="line"><a name="l00486"></a><span class="lineno"> 486</span>  </div>
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<div class="line"><a name="l00487"></a><span class="lineno"> 487</span>  <span class="keyword">const</span> Equation3 eqSpline0( p[0], p[1], p[2] );</div>
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<div class="line"><a name="l00488"></a><span class="lineno"> 488</span>  </div>
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<div class="line"><a name="l00489"></a><span class="lineno"> 489</span>  <span class="keywordtype">double</span> b0, b1;</div>
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<div class="line"><a name="l00490"></a><span class="lineno"> 490</span>  <span class="keywordflow">if</span> ( m_conditionsEQ[0].u == 0.0 )</div>
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<div class="line"><a name="l00491"></a><span class="lineno"> 491</span>  {</div>
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<div class="line"><a name="l00492"></a><span class="lineno"> 492</span>  eq = eqSpline0.substituted3( eq );</div>
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<div class="line"><a name="l00493"></a><span class="lineno"> 493</span>  </div>
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<div class="line"><a name="l00494"></a><span class="lineno"> 494</span>  <span class="keyword">const</span> Equation3& eq0 = m_conditionsEQ[0];</div>
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<div class="line"><a name="l00495"></a><span class="lineno"> 495</span>  b0 = Equation2( eq0.p, eq0.q, eq0.r ).resolved1( eq );</div>
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<div class="line"><a name="l00496"></a><span class="lineno"> 496</span>  b1 = eq.resolved2( b0 );</div>
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<div class="line"><a name="l00497"></a><span class="lineno"> 497</span>  }</div>
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<div class="line"><a name="l00498"></a><span class="lineno"> 498</span>  <span class="keywordflow">else</span></div>
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<div class="line"><a name="l00499"></a><span class="lineno"> 499</span>  {</div>
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<div class="line"><a name="l00500"></a><span class="lineno"> 500</span>  <span class="keyword">const</span> Equation2 eqX = m_conditionsEQ[0].substituted3( eq );</div>
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<div class="line"><a name="l00501"></a><span class="lineno"> 501</span>  <span class="keyword">const</span> Equation2 eqY = eqSpline0.substituted3( eq );</div>
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<div class="line"><a name="l00502"></a><span class="lineno"> 502</span>  </div>
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<div class="line"><a name="l00503"></a><span class="lineno"> 503</span>  b0 = eqY.resolved1( eqX );</div>
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<div class="line"><a name="l00504"></a><span class="lineno"> 504</span>  b1 = eqY.resolved2( b0 );</div>
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<div class="line"><a name="l00505"></a><span class="lineno"> 505</span>  }</div>
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<div class="line"><a name="l00506"></a><span class="lineno"> 506</span>  </div>
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<div class="line"><a name="l00507"></a><span class="lineno"> 507</span>  m_store.storeFirst( h0, p[0], p[1], b0, b1 );</div>
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<div class="line"><a name="l00508"></a><span class="lineno"> 508</span>  m_store.storeNext( 1, h0, p[0], p[1], b0, b1 );</div>
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<div class="line"><a name="l00509"></a><span class="lineno"> 509</span>  </div>
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<div class="line"><a name="l00510"></a><span class="lineno"> 510</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> bn2 = resolveSpline( p, b1 );</div>
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<div class="line"><a name="l00511"></a><span class="lineno"> 511</span>  </div>
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<div class="line"><a name="l00512"></a><span class="lineno"> 512</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> bn1 = eqN.resolved2( bn2 );</div>
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<div class="line"><a name="l00513"></a><span class="lineno"> 513</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> bn0 = m_conditionsEQ[1].resolved3( bn2, bn1 );</div>
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<div class="line"><a name="l00514"></a><span class="lineno"> 514</span>  </div>
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<div class="line"><a name="l00515"></a><span class="lineno"> 515</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> hx = p[n - 2].x() - p[n - 3].x();</div>
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<div class="line"><a name="l00516"></a><span class="lineno"> 516</span>  m_store.storeNext( n - 2, hx, p[n - 3], p[n - 2], bn2, bn1 );</div>
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|
<div class="line"><a name="l00517"></a><span class="lineno"> 517</span>  m_store.storeNext( n - 1, hn, p[n - 2], p[n - 1], bn1, bn0 );</div>
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<div class="line"><a name="l00518"></a><span class="lineno"> 518</span>  }</div>
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<div class="line"><a name="l00519"></a><span class="lineno"> 519</span>  </div>
|
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<div class="line"><a name="l00520"></a><span class="lineno"> 520</span>  <span class="keyword">private</span>:</div>
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<div class="line"><a name="l00521"></a><span class="lineno"> 521</span>  Equation2 substituteSpline( <span class="keyword">const</span> QPolygonF& points, <span class="keyword">const</span> Equation2& eq )</div>
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<div class="line"><a name="l00522"></a><span class="lineno"> 522</span>  {</div>
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<div class="line"><a name="l00523"></a><span class="lineno"> 523</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> n = points.size();</div>
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<div class="line"><a name="l00524"></a><span class="lineno"> 524</span>  </div>
|
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<div class="line"><a name="l00525"></a><span class="lineno"> 525</span>  m_eq.resize( n - 2 );</div>
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<div class="line"><a name="l00526"></a><span class="lineno"> 526</span>  m_eq[n - 3] = eq;</div>
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<div class="line"><a name="l00527"></a><span class="lineno"> 527</span>  </div>
|
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<div class="line"><a name="l00528"></a><span class="lineno"> 528</span>  <span class="comment">// eq[i].resolved2( b[i-1] ) => b[i]</span></div>
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<div class="line"><a name="l00529"></a><span class="lineno"> 529</span>  </div>
|
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<div class="line"><a name="l00530"></a><span class="lineno"> 530</span>  <span class="keywordtype">double</span> slope2 = ( points[n - 3].y() - points[n - 4].y() ) / eq.p;</div>
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<div class="line"><a name="l00531"></a><span class="lineno"> 531</span>  </div>
|
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<div class="line"><a name="l00532"></a><span class="lineno"> 532</span>  for ( <span class="keywordtype">int</span> i = n - 4; i > 1; i-- )</div>
|
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<div class="line"><a name="l00533"></a><span class="lineno"> 533</span>  {</div>
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<div class="line"><a name="l00534"></a><span class="lineno"> 534</span>  <span class="keyword">const</span> Equation2& eq2 = m_eq[i + 1];</div>
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<div class="line"><a name="l00535"></a><span class="lineno"> 535</span>  Equation2& eq1 = m_eq[i];</div>
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<div class="line"><a name="l00536"></a><span class="lineno"> 536</span>  </div>
|
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<div class="line"><a name="l00537"></a><span class="lineno"> 537</span>  eq1.p = points[i].x() - points[i - 1].x();</div>
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|
<div class="line"><a name="l00538"></a><span class="lineno"> 538</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> slope1 = ( points[i].y() - points[i - 1].y() ) / eq1.p;</div>
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<div class="line"><a name="l00539"></a><span class="lineno"> 539</span>  </div>
|
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<div class="line"><a name="l00540"></a><span class="lineno"> 540</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> v = eq2.p / eq2.q;</div>
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<div class="line"><a name="l00541"></a><span class="lineno"> 541</span>  </div>
|
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<div class="line"><a name="l00542"></a><span class="lineno"> 542</span>  eq1.q = 2.0 * ( eq1.p + eq2.p ) - v * eq2.p;</div>
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|
<div class="line"><a name="l00543"></a><span class="lineno"> 543</span>  eq1.r = 3.0 * ( slope2 - slope1 ) - v * eq2.r;</div>
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<div class="line"><a name="l00544"></a><span class="lineno"> 544</span>  </div>
|
|
<div class="line"><a name="l00545"></a><span class="lineno"> 545</span>  slope2 = slope1;</div>
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|
<div class="line"><a name="l00546"></a><span class="lineno"> 546</span>  }</div>
|
|
<div class="line"><a name="l00547"></a><span class="lineno"> 547</span>  </div>
|
|
<div class="line"><a name="l00548"></a><span class="lineno"> 548</span>  <span class="keywordflow">return</span> m_eq[2];</div>
|
|
<div class="line"><a name="l00549"></a><span class="lineno"> 549</span>  }</div>
|
|
<div class="line"><a name="l00550"></a><span class="lineno"> 550</span>  </div>
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<div class="line"><a name="l00551"></a><span class="lineno"> 551</span>  <span class="keywordtype">double</span> resolveSpline( <span class="keyword">const</span> QPolygonF& points, <span class="keywordtype">double</span> b1 )</div>
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<div class="line"><a name="l00552"></a><span class="lineno"> 552</span>  {</div>
|
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<div class="line"><a name="l00553"></a><span class="lineno"> 553</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> n = points.size();</div>
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<div class="line"><a name="l00554"></a><span class="lineno"> 554</span>  <span class="keyword">const</span> QPointF* p = points.constData();</div>
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<div class="line"><a name="l00555"></a><span class="lineno"> 555</span>  </div>
|
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<div class="line"><a name="l00556"></a><span class="lineno"> 556</span>  <span class="keywordflow">for</span> ( <span class="keywordtype">int</span> i = 2; i < n - 2; i++ )</div>
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<div class="line"><a name="l00557"></a><span class="lineno"> 557</span>  {</div>
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<div class="line"><a name="l00558"></a><span class="lineno"> 558</span>  <span class="comment">// eq[i].resolved2( b[i-1] ) => b[i]</span></div>
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<div class="line"><a name="l00559"></a><span class="lineno"> 559</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> b2 = m_eq[i].resolved2( b1 );</div>
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<div class="line"><a name="l00560"></a><span class="lineno"> 560</span>  m_store.storeNext( i, m_eq[i].p, p[i - 1], p[i], b1, b2 );</div>
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<div class="line"><a name="l00561"></a><span class="lineno"> 561</span>  </div>
|
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<div class="line"><a name="l00562"></a><span class="lineno"> 562</span>  b1 = b2;</div>
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<div class="line"><a name="l00563"></a><span class="lineno"> 563</span>  }</div>
|
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<div class="line"><a name="l00564"></a><span class="lineno"> 564</span>  </div>
|
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<div class="line"><a name="l00565"></a><span class="lineno"> 565</span>  <span class="keywordflow">return</span> b1;</div>
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<div class="line"><a name="l00566"></a><span class="lineno"> 566</span>  }</div>
|
|
<div class="line"><a name="l00567"></a><span class="lineno"> 567</span>  </div>
|
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<div class="line"><a name="l00568"></a><span class="lineno"> 568</span>  <span class="keyword">private</span>:</div>
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<div class="line"><a name="l00569"></a><span class="lineno"> 569</span>  Equation3 m_conditionsEQ[2];</div>
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<div class="line"><a name="l00570"></a><span class="lineno"> 570</span>  <a class="code" href="class_q_vector.html">QVector< Equation2 ></a> m_eq;</div>
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<div class="line"><a name="l00571"></a><span class="lineno"> 571</span>  T m_store;</div>
|
|
<div class="line"><a name="l00572"></a><span class="lineno"> 572</span>  };</div>
|
|
<div class="line"><a name="l00573"></a><span class="lineno"> 573</span>  </div>
|
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<div class="line"><a name="l00574"></a><span class="lineno"> 574</span>  <span class="keyword">template</span>< <span class="keyword">class</span> T ></div>
|
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<div class="line"><a name="l00575"></a><span class="lineno"> 575</span>  <span class="keyword">class </span>EquationSystem2</div>
|
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<div class="line"><a name="l00576"></a><span class="lineno"> 576</span>  {</div>
|
|
<div class="line"><a name="l00577"></a><span class="lineno"> 577</span>  <span class="keyword">public</span>:</div>
|
|
<div class="line"><a name="l00578"></a><span class="lineno"> 578</span>  <span class="keyword">const</span> T& store()<span class="keyword"> const</span></div>
|
|
<div class="line"><a name="l00579"></a><span class="lineno"> 579</span> <span class="keyword"> </span>{</div>
|
|
<div class="line"><a name="l00580"></a><span class="lineno"> 580</span>  <span class="keywordflow">return</span> m_store;</div>
|
|
<div class="line"><a name="l00581"></a><span class="lineno"> 581</span>  }</div>
|
|
<div class="line"><a name="l00582"></a><span class="lineno"> 582</span>  </div>
|
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<div class="line"><a name="l00583"></a><span class="lineno"> 583</span>  <span class="keywordtype">void</span> resolve( <span class="keyword">const</span> QPolygonF& p )</div>
|
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<div class="line"><a name="l00584"></a><span class="lineno"> 584</span>  {</div>
|
|
<div class="line"><a name="l00585"></a><span class="lineno"> 585</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> n = p.size();</div>
|
|
<div class="line"><a name="l00586"></a><span class="lineno"> 586</span>  </div>
|
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<div class="line"><a name="l00587"></a><span class="lineno"> 587</span>  <span class="keywordflow">if</span> ( p[n - 1].y() != p[0].y() )</div>
|
|
<div class="line"><a name="l00588"></a><span class="lineno"> 588</span>  {</div>
|
|
<div class="line"><a name="l00589"></a><span class="lineno"> 589</span>  <span class="comment">// TODO ???</span></div>
|
|
<div class="line"><a name="l00590"></a><span class="lineno"> 590</span>  }</div>
|
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<div class="line"><a name="l00591"></a><span class="lineno"> 591</span>  </div>
|
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<div class="line"><a name="l00592"></a><span class="lineno"> 592</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> h0 = p[1].x() - p[0].x();</div>
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|
<div class="line"><a name="l00593"></a><span class="lineno"> 593</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> s0 = ( p[1].y() - p[0].y() ) / h0;</div>
|
|
<div class="line"><a name="l00594"></a><span class="lineno"> 594</span>  </div>
|
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<div class="line"><a name="l00595"></a><span class="lineno"> 595</span>  <span class="keywordflow">if</span> ( n == 3 )</div>
|
|
<div class="line"><a name="l00596"></a><span class="lineno"> 596</span>  {</div>
|
|
<div class="line"><a name="l00597"></a><span class="lineno"> 597</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> h1 = p[2].x() - p[1].x();</div>
|
|
<div class="line"><a name="l00598"></a><span class="lineno"> 598</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> s1 = ( p[2].y() - p[1].y() ) / h1;</div>
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<div class="line"><a name="l00599"></a><span class="lineno"> 599</span>  </div>
|
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<div class="line"><a name="l00600"></a><span class="lineno"> 600</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> b = 3.0 * ( s0 - s1 ) / ( h0 + h1 );</div>
|
|
<div class="line"><a name="l00601"></a><span class="lineno"> 601</span>  </div>
|
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<div class="line"><a name="l00602"></a><span class="lineno"> 602</span>  m_store.setup( 3 );</div>
|
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<div class="line"><a name="l00603"></a><span class="lineno"> 603</span>  m_store.storeLast( h1, p[1], p[2], -b, b );</div>
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<div class="line"><a name="l00604"></a><span class="lineno"> 604</span>  m_store.storePrevious( 1, h1, p[1], p[2], -b, b );</div>
|
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<div class="line"><a name="l00605"></a><span class="lineno"> 605</span>  m_store.closeR();</div>
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<div class="line"><a name="l00606"></a><span class="lineno"> 606</span>  </div>
|
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<div class="line"><a name="l00607"></a><span class="lineno"> 607</span>  <span class="keywordflow">return</span>;</div>
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|
<div class="line"><a name="l00608"></a><span class="lineno"> 608</span>  }</div>
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|
<div class="line"><a name="l00609"></a><span class="lineno"> 609</span>  </div>
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<div class="line"><a name="l00610"></a><span class="lineno"> 610</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> hn = p[n - 1].x() - p[n - 2].x();</div>
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|
<div class="line"><a name="l00611"></a><span class="lineno"> 611</span>  </div>
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<div class="line"><a name="l00612"></a><span class="lineno"> 612</span>  Equation2 eqn, eqX;</div>
|
|
<div class="line"><a name="l00613"></a><span class="lineno"> 613</span>  substitute( p, eqn, eqX );</div>
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|
<div class="line"><a name="l00614"></a><span class="lineno"> 614</span>  </div>
|
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<div class="line"><a name="l00615"></a><span class="lineno"> 615</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> b0 = eqn.resolved2( eqX );</div>
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<div class="line"><a name="l00616"></a><span class="lineno"> 616</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> bn = eqn.resolved1( b0 );</div>
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|
<div class="line"><a name="l00617"></a><span class="lineno"> 617</span>  </div>
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<div class="line"><a name="l00618"></a><span class="lineno"> 618</span>  m_store.setup( n );</div>
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<div class="line"><a name="l00619"></a><span class="lineno"> 619</span>  m_store.storeLast( hn, p[n - 2], p[n - 1], bn, b0 );</div>
|
|
<div class="line"><a name="l00620"></a><span class="lineno"> 620</span>  m_store.storePrevious( n - 2, hn, p[n - 2], p[n - 1], bn, b0 );</div>
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|
<div class="line"><a name="l00621"></a><span class="lineno"> 621</span>  </div>
|
|
<div class="line"><a name="l00622"></a><span class="lineno"> 622</span>  resolveSpline( p, b0, bn );</div>
|
|
<div class="line"><a name="l00623"></a><span class="lineno"> 623</span>  </div>
|
|
<div class="line"><a name="l00624"></a><span class="lineno"> 624</span>  m_store.closeR();</div>
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|
<div class="line"><a name="l00625"></a><span class="lineno"> 625</span>  }</div>
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|
<div class="line"><a name="l00626"></a><span class="lineno"> 626</span>  </div>
|
|
<div class="line"><a name="l00627"></a><span class="lineno"> 627</span>  <span class="keyword">private</span>:</div>
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<div class="line"><a name="l00628"></a><span class="lineno"> 628</span>  </div>
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|
<div class="line"><a name="l00629"></a><span class="lineno"> 629</span>  <span class="keywordtype">void</span> substitute( <span class="keyword">const</span> QPolygonF& points, Equation2& eqn, Equation2& eqX )</div>
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|
<div class="line"><a name="l00630"></a><span class="lineno"> 630</span>  {</div>
|
|
<div class="line"><a name="l00631"></a><span class="lineno"> 631</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> n = points.size();</div>
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|
<div class="line"><a name="l00632"></a><span class="lineno"> 632</span>  </div>
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|
<div class="line"><a name="l00633"></a><span class="lineno"> 633</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> hn = points[n - 1].x() - points[n - 2].x();</div>
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|
<div class="line"><a name="l00634"></a><span class="lineno"> 634</span>  </div>
|
|
<div class="line"><a name="l00635"></a><span class="lineno"> 635</span>  <span class="keyword">const</span> Equation3 eqSpline0( points[0], points[1], points[2] );</div>
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|
<div class="line"><a name="l00636"></a><span class="lineno"> 636</span>  <span class="keyword">const</span> Equation3 eqSplineN(</div>
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|
<div class="line"><a name="l00637"></a><span class="lineno"> 637</span>  QPointF( points[0].x() - hn, points[n - 2].y() ), points[0], points[1] );</div>
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|
<div class="line"><a name="l00638"></a><span class="lineno"> 638</span>  </div>
|
|
<div class="line"><a name="l00639"></a><span class="lineno"> 639</span>  m_eq.resize( n - 1 );</div>
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|
<div class="line"><a name="l00640"></a><span class="lineno"> 640</span>  </div>
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|
<div class="line"><a name="l00641"></a><span class="lineno"> 641</span>  <span class="keywordtype">double</span> dq = 0;</div>
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|
<div class="line"><a name="l00642"></a><span class="lineno"> 642</span>  <span class="keywordtype">double</span> dr = 0;</div>
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|
<div class="line"><a name="l00643"></a><span class="lineno"> 643</span>  </div>
|
|
<div class="line"><a name="l00644"></a><span class="lineno"> 644</span>  m_eq[1] = eqSpline0;</div>
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|
<div class="line"><a name="l00645"></a><span class="lineno"> 645</span>  </div>
|
|
<div class="line"><a name="l00646"></a><span class="lineno"> 646</span>  <span class="keywordtype">double</span> slope1 = ( points[2].y() - points[1].y() ) / m_eq[1].u;</div>
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|
<div class="line"><a name="l00647"></a><span class="lineno"> 647</span>  </div>
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|
<div class="line"><a name="l00648"></a><span class="lineno"> 648</span>  <span class="comment">// a) p1 * b[0] + q1 * b[1] + u1 * b[2] = r1</span></div>
|
|
<div class="line"><a name="l00649"></a><span class="lineno"> 649</span>  <span class="comment">// b) p2 * b[n-2] + q2 * b[0] + u2 * b[1] = r2</span></div>
|
|
<div class="line"><a name="l00650"></a><span class="lineno"> 650</span>  <span class="comment">// c) pi * b[i-1] + qi * b[i] + ui * b[i+1] = ri</span></div>
|
|
<div class="line"><a name="l00651"></a><span class="lineno"> 651</span>  <span class="comment">//</span></div>
|
|
<div class="line"><a name="l00652"></a><span class="lineno"> 652</span>  <span class="comment">// Using c) we can substitute b[i] ( starting from 2 ) by b[i+1]</span></div>
|
|
<div class="line"><a name="l00653"></a><span class="lineno"> 653</span>  <span class="comment">// until we reach n-1. As we know, that b[0] == b[n-1] we found</span></div>
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|
<div class="line"><a name="l00654"></a><span class="lineno"> 654</span>  <span class="comment">// an equation where only 2 coefficients ( for b[n-2], b[0] ) are left unknown.</span></div>
|
|
<div class="line"><a name="l00655"></a><span class="lineno"> 655</span>  <span class="comment">// Each step we have an equation that depends on b[0], b[i] and b[i+1]</span></div>
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|
<div class="line"><a name="l00656"></a><span class="lineno"> 656</span>  <span class="comment">// that can also be used to substitute b[i] in b). Ding so we end up with another</span></div>
|
|
<div class="line"><a name="l00657"></a><span class="lineno"> 657</span>  <span class="comment">// equation depending on b[n-2], b[0] only.</span></div>
|
|
<div class="line"><a name="l00658"></a><span class="lineno"> 658</span>  <span class="comment">// Finally 2 equations with 2 coefficients can be solved.</span></div>
|
|
<div class="line"><a name="l00659"></a><span class="lineno"> 659</span>  </div>
|
|
<div class="line"><a name="l00660"></a><span class="lineno"> 660</span>  <span class="keywordflow">for</span> ( <span class="keywordtype">int</span> i = 2; i < n - 1; i++ )</div>
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|
<div class="line"><a name="l00661"></a><span class="lineno"> 661</span>  {</div>
|
|
<div class="line"><a name="l00662"></a><span class="lineno"> 662</span>  <span class="keyword">const</span> Equation3& eq1 = m_eq[i - 1];</div>
|
|
<div class="line"><a name="l00663"></a><span class="lineno"> 663</span>  Equation3& eq2 = m_eq[i];</div>
|
|
<div class="line"><a name="l00664"></a><span class="lineno"> 664</span>  </div>
|
|
<div class="line"><a name="l00665"></a><span class="lineno"> 665</span>  dq += eq1.p * eq1.p / eq1.q;</div>
|
|
<div class="line"><a name="l00666"></a><span class="lineno"> 666</span>  dr += eq1.p * eq1.r / eq1.q;</div>
|
|
<div class="line"><a name="l00667"></a><span class="lineno"> 667</span>  </div>
|
|
<div class="line"><a name="l00668"></a><span class="lineno"> 668</span>  eq2.u = points[i + 1].x() - points[i].x();</div>
|
|
<div class="line"><a name="l00669"></a><span class="lineno"> 669</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> slope2 = ( points[i + 1].y() - points[i].y() ) / eq2.u;</div>
|
|
<div class="line"><a name="l00670"></a><span class="lineno"> 670</span>  </div>
|
|
<div class="line"><a name="l00671"></a><span class="lineno"> 671</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> k = eq1.u / eq1.q;</div>
|
|
<div class="line"><a name="l00672"></a><span class="lineno"> 672</span>  </div>
|
|
<div class="line"><a name="l00673"></a><span class="lineno"> 673</span>  eq2.p = -eq1.p * k;</div>
|
|
<div class="line"><a name="l00674"></a><span class="lineno"> 674</span>  eq2.q = 2.0 * ( eq1.u + eq2.u ) - eq1.u * k;</div>
|
|
<div class="line"><a name="l00675"></a><span class="lineno"> 675</span>  eq2.r = 3.0 * ( slope2 - slope1 ) - eq1.r * k;</div>
|
|
<div class="line"><a name="l00676"></a><span class="lineno"> 676</span>  </div>
|
|
<div class="line"><a name="l00677"></a><span class="lineno"> 677</span>  slope1 = slope2;</div>
|
|
<div class="line"><a name="l00678"></a><span class="lineno"> 678</span>  }</div>
|
|
<div class="line"><a name="l00679"></a><span class="lineno"> 679</span>  </div>
|
|
<div class="line"><a name="l00680"></a><span class="lineno"> 680</span>  </div>
|
|
<div class="line"><a name="l00681"></a><span class="lineno"> 681</span>  <span class="comment">// b[0] * m_p[n-2] + b[n-2] * m_q[n-2] + b[n-1] * pN = m_r[n-2]</span></div>
|
|
<div class="line"><a name="l00682"></a><span class="lineno"> 682</span>  eqn.setup( m_eq[n - 2].q, m_eq[n - 2].p + eqSplineN.p, m_eq[n - 2].r );</div>
|
|
<div class="line"><a name="l00683"></a><span class="lineno"> 683</span>  </div>
|
|
<div class="line"><a name="l00684"></a><span class="lineno"> 684</span>  <span class="comment">// b[n-2] * pN + b[0] * ( qN - dq ) + b[n-2] * m_p[n-2] = rN - dr</span></div>
|
|
<div class="line"><a name="l00685"></a><span class="lineno"> 685</span>  eqX.setup( m_eq[n - 2].p + eqSplineN.p, eqSplineN.q - dq, eqSplineN.r - dr );</div>
|
|
<div class="line"><a name="l00686"></a><span class="lineno"> 686</span>  }</div>
|
|
<div class="line"><a name="l00687"></a><span class="lineno"> 687</span>  </div>
|
|
<div class="line"><a name="l00688"></a><span class="lineno"> 688</span>  <span class="keywordtype">void</span> resolveSpline( <span class="keyword">const</span> QPolygonF& points, <span class="keywordtype">double</span> b0, <span class="keywordtype">double</span> bi )</div>
|
|
<div class="line"><a name="l00689"></a><span class="lineno"> 689</span>  {</div>
|
|
<div class="line"><a name="l00690"></a><span class="lineno"> 690</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> n = points.size();</div>
|
|
<div class="line"><a name="l00691"></a><span class="lineno"> 691</span>  </div>
|
|
<div class="line"><a name="l00692"></a><span class="lineno"> 692</span>  <span class="keywordflow">for</span> ( <span class="keywordtype">int</span> i = n - 3; i >= 1; i-- )</div>
|
|
<div class="line"><a name="l00693"></a><span class="lineno"> 693</span>  {</div>
|
|
<div class="line"><a name="l00694"></a><span class="lineno"> 694</span>  <span class="keyword">const</span> Equation3& eq = m_eq[i];</div>
|
|
<div class="line"><a name="l00695"></a><span class="lineno"> 695</span>  </div>
|
|
<div class="line"><a name="l00696"></a><span class="lineno"> 696</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> b = eq.resolved2( b0, bi );</div>
|
|
<div class="line"><a name="l00697"></a><span class="lineno"> 697</span>  m_store.storePrevious( i, eq.u, points[i], points[i + 1], b, bi );</div>
|
|
<div class="line"><a name="l00698"></a><span class="lineno"> 698</span>  </div>
|
|
<div class="line"><a name="l00699"></a><span class="lineno"> 699</span>  bi = b;</div>
|
|
<div class="line"><a name="l00700"></a><span class="lineno"> 700</span>  }</div>
|
|
<div class="line"><a name="l00701"></a><span class="lineno"> 701</span>  }</div>
|
|
<div class="line"><a name="l00702"></a><span class="lineno"> 702</span>  </div>
|
|
<div class="line"><a name="l00703"></a><span class="lineno"> 703</span>  <span class="keywordtype">void</span> resolveSpline2( <span class="keyword">const</span> QPolygonF& points,</div>
|
|
<div class="line"><a name="l00704"></a><span class="lineno"> 704</span>  <span class="keywordtype">double</span> b0, <span class="keywordtype">double</span> bi, <a class="code" href="class_q_vector.html">QVector< double ></a>& m )</div>
|
|
<div class="line"><a name="l00705"></a><span class="lineno"> 705</span>  {</div>
|
|
<div class="line"><a name="l00706"></a><span class="lineno"> 706</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> n = points.size();</div>
|
|
<div class="line"><a name="l00707"></a><span class="lineno"> 707</span>  </div>
|
|
<div class="line"><a name="l00708"></a><span class="lineno"> 708</span>  bi = m_eq[0].resolved3( b0, bi );</div>
|
|
<div class="line"><a name="l00709"></a><span class="lineno"> 709</span>  </div>
|
|
<div class="line"><a name="l00710"></a><span class="lineno"> 710</span>  <span class="keywordflow">for</span> ( <span class="keywordtype">int</span> i = 1; i < n - 2; i++ )</div>
|
|
<div class="line"><a name="l00711"></a><span class="lineno"> 711</span>  {</div>
|
|
<div class="line"><a name="l00712"></a><span class="lineno"> 712</span>  <span class="keyword">const</span> Equation3& eq = m_eq[i];</div>
|
|
<div class="line"><a name="l00713"></a><span class="lineno"> 713</span>  </div>
|
|
<div class="line"><a name="l00714"></a><span class="lineno"> 714</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> b = eq.resolved3( b0, bi );</div>
|
|
<div class="line"><a name="l00715"></a><span class="lineno"> 715</span>  m[i + 1] = m[i] + ( b + bi ) * m_eq[i].u;</div>
|
|
<div class="line"><a name="l00716"></a><span class="lineno"> 716</span>  </div>
|
|
<div class="line"><a name="l00717"></a><span class="lineno"> 717</span>  bi = b;</div>
|
|
<div class="line"><a name="l00718"></a><span class="lineno"> 718</span>  }</div>
|
|
<div class="line"><a name="l00719"></a><span class="lineno"> 719</span>  }</div>
|
|
<div class="line"><a name="l00720"></a><span class="lineno"> 720</span>  </div>
|
|
<div class="line"><a name="l00721"></a><span class="lineno"> 721</span>  <span class="keywordtype">void</span> resolveSpline3( <span class="keyword">const</span> QPolygonF& points,</div>
|
|
<div class="line"><a name="l00722"></a><span class="lineno"> 722</span>  <span class="keywordtype">double</span> b0, <span class="keywordtype">double</span> b1, <a class="code" href="class_q_vector.html">QVector< double ></a>& m )</div>
|
|
<div class="line"><a name="l00723"></a><span class="lineno"> 723</span>  {</div>
|
|
<div class="line"><a name="l00724"></a><span class="lineno"> 724</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> n = points.size();</div>
|
|
<div class="line"><a name="l00725"></a><span class="lineno"> 725</span>  </div>
|
|
<div class="line"><a name="l00726"></a><span class="lineno"> 726</span>  <span class="keywordtype">double</span> h0 = ( points[1].x() - points[0].x() );</div>
|
|
<div class="line"><a name="l00727"></a><span class="lineno"> 727</span>  <span class="keywordtype">double</span> s0 = ( points[1].y() - points[0].y() ) / h0;</div>
|
|
<div class="line"><a name="l00728"></a><span class="lineno"> 728</span>  </div>
|
|
<div class="line"><a name="l00729"></a><span class="lineno"> 729</span>  m[1] = m[0] + ( b0 + b1 ) * h0;</div>
|
|
<div class="line"><a name="l00730"></a><span class="lineno"> 730</span>  </div>
|
|
<div class="line"><a name="l00731"></a><span class="lineno"> 731</span>  <span class="keywordflow">for</span> ( <span class="keywordtype">int</span> i = 1; i < n - 1; i++ )</div>
|
|
<div class="line"><a name="l00732"></a><span class="lineno"> 732</span>  {</div>
|
|
<div class="line"><a name="l00733"></a><span class="lineno"> 733</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> h1 = ( points[i + 1].x() - points[i].x() );</div>
|
|
<div class="line"><a name="l00734"></a><span class="lineno"> 734</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> s1 = ( points[i + 1].y() - points[i].y() ) / h1;</div>
|
|
<div class="line"><a name="l00735"></a><span class="lineno"> 735</span>  </div>
|
|
<div class="line"><a name="l00736"></a><span class="lineno"> 736</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> r = 3.0 * ( s1 - s0 );</div>
|
|
<div class="line"><a name="l00737"></a><span class="lineno"> 737</span>  </div>
|
|
<div class="line"><a name="l00738"></a><span class="lineno"> 738</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> b2 = ( r - h0 * b0 - 2.0 * ( h0 + h1 ) * b1 ) / h1;</div>
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|
<div class="line"><a name="l00739"></a><span class="lineno"> 739</span>  m[i + 1] = m[i] + ( b1 + b2 ) * h1;</div>
|
|
<div class="line"><a name="l00740"></a><span class="lineno"> 740</span>  </div>
|
|
<div class="line"><a name="l00741"></a><span class="lineno"> 741</span>  h0 = h1;</div>
|
|
<div class="line"><a name="l00742"></a><span class="lineno"> 742</span>  s0 = s1;</div>
|
|
<div class="line"><a name="l00743"></a><span class="lineno"> 743</span>  b0 = b1;</div>
|
|
<div class="line"><a name="l00744"></a><span class="lineno"> 744</span>  b1 = b2;</div>
|
|
<div class="line"><a name="l00745"></a><span class="lineno"> 745</span>  }</div>
|
|
<div class="line"><a name="l00746"></a><span class="lineno"> 746</span>  }</div>
|
|
<div class="line"><a name="l00747"></a><span class="lineno"> 747</span>  </div>
|
|
<div class="line"><a name="l00748"></a><span class="lineno"> 748</span>  <span class="keywordtype">void</span> resolveSpline4( <span class="keyword">const</span> QPolygonF& points,</div>
|
|
<div class="line"><a name="l00749"></a><span class="lineno"> 749</span>  <span class="keywordtype">double</span> b2, <span class="keywordtype">double</span> b1, <a class="code" href="class_q_vector.html">QVector< double ></a>& m )</div>
|
|
<div class="line"><a name="l00750"></a><span class="lineno"> 750</span>  {</div>
|
|
<div class="line"><a name="l00751"></a><span class="lineno"> 751</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> n = points.size();</div>
|
|
<div class="line"><a name="l00752"></a><span class="lineno"> 752</span>  </div>
|
|
<div class="line"><a name="l00753"></a><span class="lineno"> 753</span>  <span class="keywordtype">double</span> h2 = ( points[n - 1].x() - points[n - 2].x() );</div>
|
|
<div class="line"><a name="l00754"></a><span class="lineno"> 754</span>  <span class="keywordtype">double</span> s2 = ( points[n - 1].y() - points[n - 2].y() ) / h2;</div>
|
|
<div class="line"><a name="l00755"></a><span class="lineno"> 755</span>  </div>
|
|
<div class="line"><a name="l00756"></a><span class="lineno"> 756</span>  <span class="keywordflow">for</span> ( <span class="keywordtype">int</span> i = n - 2; i > 1; i-- )</div>
|
|
<div class="line"><a name="l00757"></a><span class="lineno"> 757</span>  {</div>
|
|
<div class="line"><a name="l00758"></a><span class="lineno"> 758</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> h1 = ( points[i].x() - points[i - 1].x() );</div>
|
|
<div class="line"><a name="l00759"></a><span class="lineno"> 759</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> s1 = ( points[i].y() - points[i - 1].y() ) / h1;</div>
|
|
<div class="line"><a name="l00760"></a><span class="lineno"> 760</span>  </div>
|
|
<div class="line"><a name="l00761"></a><span class="lineno"> 761</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> r = 3.0 * ( s2 - s1 );</div>
|
|
<div class="line"><a name="l00762"></a><span class="lineno"> 762</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> k = 2.0 * ( h1 + h2 );</div>
|
|
<div class="line"><a name="l00763"></a><span class="lineno"> 763</span>  </div>
|
|
<div class="line"><a name="l00764"></a><span class="lineno"> 764</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> b0 = ( r - h2 * b2 - k * b1 ) / h1;</div>
|
|
<div class="line"><a name="l00765"></a><span class="lineno"> 765</span>  </div>
|
|
<div class="line"><a name="l00766"></a><span class="lineno"> 766</span>  m[i - 1] = m[i] - ( b0 + b1 ) * h1;</div>
|
|
<div class="line"><a name="l00767"></a><span class="lineno"> 767</span>  </div>
|
|
<div class="line"><a name="l00768"></a><span class="lineno"> 768</span>  h2 = h1;</div>
|
|
<div class="line"><a name="l00769"></a><span class="lineno"> 769</span>  s2 = s1;</div>
|
|
<div class="line"><a name="l00770"></a><span class="lineno"> 770</span>  b2 = b1;</div>
|
|
<div class="line"><a name="l00771"></a><span class="lineno"> 771</span>  b1 = b0;</div>
|
|
<div class="line"><a name="l00772"></a><span class="lineno"> 772</span>  }</div>
|
|
<div class="line"><a name="l00773"></a><span class="lineno"> 773</span>  }</div>
|
|
<div class="line"><a name="l00774"></a><span class="lineno"> 774</span>  </div>
|
|
<div class="line"><a name="l00775"></a><span class="lineno"> 775</span>  <span class="keyword">public</span>:</div>
|
|
<div class="line"><a name="l00776"></a><span class="lineno"> 776</span>  <a class="code" href="class_q_vector.html">QVector< Equation3 ></a> m_eq;</div>
|
|
<div class="line"><a name="l00777"></a><span class="lineno"> 777</span>  T m_store;</div>
|
|
<div class="line"><a name="l00778"></a><span class="lineno"> 778</span>  };</div>
|
|
<div class="line"><a name="l00779"></a><span class="lineno"> 779</span> }</div>
|
|
<div class="line"><a name="l00780"></a><span class="lineno"> 780</span>  </div>
|
|
<div class="line"><a name="l00781"></a><span class="lineno"> 781</span> <span class="keyword">static</span> <span class="keywordtype">void</span> qwtSetupEndEquations(</div>
|
|
<div class="line"><a name="l00782"></a><span class="lineno"> 782</span>  <span class="keywordtype">int</span> conditionBegin, <span class="keywordtype">double</span> valueBegin, <span class="keywordtype">int</span> conditionEnd, <span class="keywordtype">double</span> valueEnd,</div>
|
|
<div class="line"><a name="l00783"></a><span class="lineno"> 783</span>  <span class="keyword">const</span> QPolygonF& points, QwtSplineCubicP::Equation3 eq[2] )</div>
|
|
<div class="line"><a name="l00784"></a><span class="lineno"> 784</span> {</div>
|
|
<div class="line"><a name="l00785"></a><span class="lineno"> 785</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> n = points.size();</div>
|
|
<div class="line"><a name="l00786"></a><span class="lineno"> 786</span>  </div>
|
|
<div class="line"><a name="l00787"></a><span class="lineno"> 787</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> h0 = points[1].x() - points[0].x();</div>
|
|
<div class="line"><a name="l00788"></a><span class="lineno"> 788</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> s0 = ( points[1].y() - points[0].y() ) / h0;</div>
|
|
<div class="line"><a name="l00789"></a><span class="lineno"> 789</span>  </div>
|
|
<div class="line"><a name="l00790"></a><span class="lineno"> 790</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> hn = ( points[n - 1].x() - points[n - 2].x() );</div>
|
|
<div class="line"><a name="l00791"></a><span class="lineno"> 791</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> sn = ( points[n - 1].y() - points[n - 2].y() ) / hn;</div>
|
|
<div class="line"><a name="l00792"></a><span class="lineno"> 792</span>  </div>
|
|
<div class="line"><a name="l00793"></a><span class="lineno"> 793</span>  <span class="keywordflow">switch</span>( conditionBegin )</div>
|
|
<div class="line"><a name="l00794"></a><span class="lineno"> 794</span>  {</div>
|
|
<div class="line"><a name="l00795"></a><span class="lineno"> 795</span>  <span class="keywordflow">case</span> <a class="code" href="class_qwt_spline.html#af2195032fa62c2b9fe74dc4d44b636cba94d03f64008ad0ed1e2e92bd96414028">QwtSpline::Clamped1</a>:</div>
|
|
<div class="line"><a name="l00796"></a><span class="lineno"> 796</span>  {</div>
|
|
<div class="line"><a name="l00797"></a><span class="lineno"> 797</span>  <span class="comment">// first derivative at end points given</span></div>
|
|
<div class="line"><a name="l00798"></a><span class="lineno"> 798</span>  </div>
|
|
<div class="line"><a name="l00799"></a><span class="lineno"> 799</span>  <span class="comment">// 3 * a1 * h + b1 = b2</span></div>
|
|
<div class="line"><a name="l00800"></a><span class="lineno"> 800</span>  <span class="comment">// a1 * h * h + b1 * h + c1 = s</span></div>
|
|
<div class="line"><a name="l00801"></a><span class="lineno"> 801</span>  </div>
|
|
<div class="line"><a name="l00802"></a><span class="lineno"> 802</span>  <span class="comment">// c1 = slopeBegin</span></div>
|
|
<div class="line"><a name="l00803"></a><span class="lineno"> 803</span>  <span class="comment">// => b1 * ( 2 * h / 3.0 ) + b2 * ( h / 3.0 ) = s - slopeBegin</span></div>
|
|
<div class="line"><a name="l00804"></a><span class="lineno"> 804</span>  </div>
|
|
<div class="line"><a name="l00805"></a><span class="lineno"> 805</span>  <span class="comment">// c2 = slopeEnd</span></div>
|
|
<div class="line"><a name="l00806"></a><span class="lineno"> 806</span>  <span class="comment">// => b1 * ( 1.0 / 3.0 ) + b2 * ( 2.0 / 3.0 ) = ( slopeEnd - s ) / h;</span></div>
|
|
<div class="line"><a name="l00807"></a><span class="lineno"> 807</span>  </div>
|
|
<div class="line"><a name="l00808"></a><span class="lineno"> 808</span>  eq[0].setup( 2 * h0 / 3.0, h0 / 3.0, 0.0, s0 - valueBegin );</div>
|
|
<div class="line"><a name="l00809"></a><span class="lineno"> 809</span>  <span class="keywordflow">break</span>;</div>
|
|
<div class="line"><a name="l00810"></a><span class="lineno"> 810</span>  }</div>
|
|
<div class="line"><a name="l00811"></a><span class="lineno"> 811</span>  <span class="keywordflow">case</span> <a class="code" href="class_qwt_spline.html#af2195032fa62c2b9fe74dc4d44b636cba43442b0f55b141b857d6c2ab56cd9afe">QwtSpline::Clamped2</a>:</div>
|
|
<div class="line"><a name="l00812"></a><span class="lineno"> 812</span>  {</div>
|
|
<div class="line"><a name="l00813"></a><span class="lineno"> 813</span>  <span class="comment">// second derivative at end points given</span></div>
|
|
<div class="line"><a name="l00814"></a><span class="lineno"> 814</span>  </div>
|
|
<div class="line"><a name="l00815"></a><span class="lineno"> 815</span>  <span class="comment">// b0 = 0.5 * cvStart</span></div>
|
|
<div class="line"><a name="l00816"></a><span class="lineno"> 816</span>  <span class="comment">// => b0 * 1.0 + b1 * 0.0 = 0.5 * cvStart</span></div>
|
|
<div class="line"><a name="l00817"></a><span class="lineno"> 817</span>  </div>
|
|
<div class="line"><a name="l00818"></a><span class="lineno"> 818</span>  <span class="comment">// b1 = 0.5 * cvEnd</span></div>
|
|
<div class="line"><a name="l00819"></a><span class="lineno"> 819</span>  <span class="comment">// => b0 * 0.0 + b1 * 1.0 = 0.5 * cvEnd</span></div>
|
|
<div class="line"><a name="l00820"></a><span class="lineno"> 820</span>  </div>
|
|
<div class="line"><a name="l00821"></a><span class="lineno"> 821</span>  eq[0].setup( 1.0, 0.0, 0.0, 0.5 * valueBegin );</div>
|
|
<div class="line"><a name="l00822"></a><span class="lineno"> 822</span>  <span class="keywordflow">break</span>;</div>
|
|
<div class="line"><a name="l00823"></a><span class="lineno"> 823</span>  }</div>
|
|
<div class="line"><a name="l00824"></a><span class="lineno"> 824</span>  <span class="keywordflow">case</span> <a class="code" href="class_qwt_spline.html#af2195032fa62c2b9fe74dc4d44b636cba897bc245acbf65ee2f1801c779de15b3">QwtSpline::Clamped3</a>:</div>
|
|
<div class="line"><a name="l00825"></a><span class="lineno"> 825</span>  {</div>
|
|
<div class="line"><a name="l00826"></a><span class="lineno"> 826</span>  <span class="comment">// third derivative at end point given</span></div>
|
|
<div class="line"><a name="l00827"></a><span class="lineno"> 827</span>  </div>
|
|
<div class="line"><a name="l00828"></a><span class="lineno"> 828</span>  <span class="comment">// 3 * a * h0 + b[0] = b[1]</span></div>
|
|
<div class="line"><a name="l00829"></a><span class="lineno"> 829</span>  </div>
|
|
<div class="line"><a name="l00830"></a><span class="lineno"> 830</span>  <span class="comment">// a = marg_0 / 6.0</span></div>
|
|
<div class="line"><a name="l00831"></a><span class="lineno"> 831</span>  <span class="comment">// => b[0] * 1.0 + b[1] * ( -1.0 ) = -0.5 * v0 * h0</span></div>
|
|
<div class="line"><a name="l00832"></a><span class="lineno"> 832</span>  </div>
|
|
<div class="line"><a name="l00833"></a><span class="lineno"> 833</span>  <span class="comment">// a = marg_n / 6.0</span></div>
|
|
<div class="line"><a name="l00834"></a><span class="lineno"> 834</span>  <span class="comment">// => b[n-2] * 1.0 + b[n-1] * ( -1.0 ) = -0.5 * v1 * h5</span></div>
|
|
<div class="line"><a name="l00835"></a><span class="lineno"> 835</span>  </div>
|
|
<div class="line"><a name="l00836"></a><span class="lineno"> 836</span>  eq[0].setup( 1.0, -1.0, 0.0, -0.5 * valueBegin * h0 );</div>
|
|
<div class="line"><a name="l00837"></a><span class="lineno"> 837</span>  </div>
|
|
<div class="line"><a name="l00838"></a><span class="lineno"> 838</span>  <span class="keywordflow">break</span>;</div>
|
|
<div class="line"><a name="l00839"></a><span class="lineno"> 839</span>  }</div>
|
|
<div class="line"><a name="l00840"></a><span class="lineno"> 840</span>  <span class="keywordflow">case</span> <a class="code" href="class_qwt_spline.html#af2195032fa62c2b9fe74dc4d44b636cba6ad4241cc59f456d77eb70b289e5782a">QwtSpline::LinearRunout</a>:</div>
|
|
<div class="line"><a name="l00841"></a><span class="lineno"> 841</span>  {</div>
|
|
<div class="line"><a name="l00842"></a><span class="lineno"> 842</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> r0 = qBound( 0.0, valueBegin, 1.0 );</div>
|
|
<div class="line"><a name="l00843"></a><span class="lineno"> 843</span>  <span class="keywordflow">if</span> ( r0 == 0.0 )</div>
|
|
<div class="line"><a name="l00844"></a><span class="lineno"> 844</span>  {</div>
|
|
<div class="line"><a name="l00845"></a><span class="lineno"> 845</span>  <span class="comment">// clamping s0</span></div>
|
|
<div class="line"><a name="l00846"></a><span class="lineno"> 846</span>  eq[0].setup( 2 * h0 / 3.0, h0 / 3.0, 0.0, 0.0 );</div>
|
|
<div class="line"><a name="l00847"></a><span class="lineno"> 847</span>  }</div>
|
|
<div class="line"><a name="l00848"></a><span class="lineno"> 848</span>  <span class="keywordflow">else</span></div>
|
|
<div class="line"><a name="l00849"></a><span class="lineno"> 849</span>  {</div>
|
|
<div class="line"><a name="l00850"></a><span class="lineno"> 850</span>  eq[0].setup( 1.0 + 2.0 / r0, 2.0 + 1.0 / r0, 0.0, 0.0 );</div>
|
|
<div class="line"><a name="l00851"></a><span class="lineno"> 851</span>  }</div>
|
|
<div class="line"><a name="l00852"></a><span class="lineno"> 852</span>  <span class="keywordflow">break</span>;</div>
|
|
<div class="line"><a name="l00853"></a><span class="lineno"> 853</span>  }</div>
|
|
<div class="line"><a name="l00854"></a><span class="lineno"> 854</span>  <span class="keywordflow">case</span> <a class="code" href="class_qwt_spline_c2.html#aa26bfd4bf07baf03fcf47c8f73f632afa1193d143aa03aa9c874bd9b26f57847b">QwtSplineC2::NotAKnot</a>:</div>
|
|
<div class="line"><a name="l00855"></a><span class="lineno"> 855</span>  <span class="keywordflow">case</span> <a class="code" href="class_qwt_spline_c2.html#aa26bfd4bf07baf03fcf47c8f73f632afa850dacde625b21daa3ee408df0400119">QwtSplineC2::CubicRunout</a>:</div>
|
|
<div class="line"><a name="l00856"></a><span class="lineno"> 856</span>  {</div>
|
|
<div class="line"><a name="l00857"></a><span class="lineno"> 857</span>  <span class="comment">// building one cubic curve from 3 points</span></div>
|
|
<div class="line"><a name="l00858"></a><span class="lineno"> 858</span>  </div>
|
|
<div class="line"><a name="l00859"></a><span class="lineno"> 859</span>  <span class="keywordtype">double</span> v0;</div>
|
|
<div class="line"><a name="l00860"></a><span class="lineno"> 860</span>  </div>
|
|
<div class="line"><a name="l00861"></a><span class="lineno"> 861</span>  <span class="keywordflow">if</span> ( conditionBegin == <a class="code" href="class_qwt_spline_c2.html#aa26bfd4bf07baf03fcf47c8f73f632afa850dacde625b21daa3ee408df0400119">QwtSplineC2::CubicRunout</a> )</div>
|
|
<div class="line"><a name="l00862"></a><span class="lineno"> 862</span>  {</div>
|
|
<div class="line"><a name="l00863"></a><span class="lineno"> 863</span>  <span class="comment">// first/last point are the endpoints of the curve</span></div>
|
|
<div class="line"><a name="l00864"></a><span class="lineno"> 864</span>  </div>
|
|
<div class="line"><a name="l00865"></a><span class="lineno"> 865</span>  <span class="comment">// b0 = 2 * b1 - b2</span></div>
|
|
<div class="line"><a name="l00866"></a><span class="lineno"> 866</span>  <span class="comment">// => 1.0 * b0 - 2 * b1 + 1.0 * b2 = 0.0</span></div>
|
|
<div class="line"><a name="l00867"></a><span class="lineno"> 867</span>  </div>
|
|
<div class="line"><a name="l00868"></a><span class="lineno"> 868</span>  v0 = 1.0;</div>
|
|
<div class="line"><a name="l00869"></a><span class="lineno"> 869</span>  }</div>
|
|
<div class="line"><a name="l00870"></a><span class="lineno"> 870</span>  <span class="keywordflow">else</span></div>
|
|
<div class="line"><a name="l00871"></a><span class="lineno"> 871</span>  {</div>
|
|
<div class="line"><a name="l00872"></a><span class="lineno"> 872</span>  <span class="comment">// first/last points are on the curve,</span></div>
|
|
<div class="line"><a name="l00873"></a><span class="lineno"> 873</span>  <span class="comment">// the imaginary endpoints have the same distance as h0/hn</span></div>
|
|
<div class="line"><a name="l00874"></a><span class="lineno"> 874</span>  </div>
|
|
<div class="line"><a name="l00875"></a><span class="lineno"> 875</span>  v0 = h0 / ( points[2].x() - points[1].x() );</div>
|
|
<div class="line"><a name="l00876"></a><span class="lineno"> 876</span>  }</div>
|
|
<div class="line"><a name="l00877"></a><span class="lineno"> 877</span>  </div>
|
|
<div class="line"><a name="l00878"></a><span class="lineno"> 878</span>  eq[0].setup( 1.0, -( 1.0 + v0 ), v0, 0.0 );</div>
|
|
<div class="line"><a name="l00879"></a><span class="lineno"> 879</span>  <span class="keywordflow">break</span>;</div>
|
|
<div class="line"><a name="l00880"></a><span class="lineno"> 880</span>  }</div>
|
|
<div class="line"><a name="l00881"></a><span class="lineno"> 881</span>  <span class="keywordflow">default</span>:</div>
|
|
<div class="line"><a name="l00882"></a><span class="lineno"> 882</span>  {</div>
|
|
<div class="line"><a name="l00883"></a><span class="lineno"> 883</span>  <span class="comment">// a natural spline, where the</span></div>
|
|
<div class="line"><a name="l00884"></a><span class="lineno"> 884</span>  <span class="comment">// second derivative at end points set to 0.0</span></div>
|
|
<div class="line"><a name="l00885"></a><span class="lineno"> 885</span>  eq[0].setup( 1.0, 0.0, 0.0, 0.0 );</div>
|
|
<div class="line"><a name="l00886"></a><span class="lineno"> 886</span>  <span class="keywordflow">break</span>;</div>
|
|
<div class="line"><a name="l00887"></a><span class="lineno"> 887</span>  }</div>
|
|
<div class="line"><a name="l00888"></a><span class="lineno"> 888</span>  }</div>
|
|
<div class="line"><a name="l00889"></a><span class="lineno"> 889</span>  </div>
|
|
<div class="line"><a name="l00890"></a><span class="lineno"> 890</span>  <span class="keywordflow">switch</span>( conditionEnd )</div>
|
|
<div class="line"><a name="l00891"></a><span class="lineno"> 891</span>  {</div>
|
|
<div class="line"><a name="l00892"></a><span class="lineno"> 892</span>  <span class="keywordflow">case</span> <a class="code" href="class_qwt_spline.html#af2195032fa62c2b9fe74dc4d44b636cba94d03f64008ad0ed1e2e92bd96414028">QwtSpline::Clamped1</a>:</div>
|
|
<div class="line"><a name="l00893"></a><span class="lineno"> 893</span>  {</div>
|
|
<div class="line"><a name="l00894"></a><span class="lineno"> 894</span>  <span class="comment">// first derivative at end points given</span></div>
|
|
<div class="line"><a name="l00895"></a><span class="lineno"> 895</span>  eq[1].setup( 0.0, 1.0 / 3.0 * hn, 2.0 / 3.0 * hn, valueEnd - sn );</div>
|
|
<div class="line"><a name="l00896"></a><span class="lineno"> 896</span>  <span class="keywordflow">break</span>;</div>
|
|
<div class="line"><a name="l00897"></a><span class="lineno"> 897</span>  }</div>
|
|
<div class="line"><a name="l00898"></a><span class="lineno"> 898</span>  <span class="keywordflow">case</span> <a class="code" href="class_qwt_spline.html#af2195032fa62c2b9fe74dc4d44b636cba43442b0f55b141b857d6c2ab56cd9afe">QwtSpline::Clamped2</a>:</div>
|
|
<div class="line"><a name="l00899"></a><span class="lineno"> 899</span>  {</div>
|
|
<div class="line"><a name="l00900"></a><span class="lineno"> 900</span>  <span class="comment">// second derivative at end points given</span></div>
|
|
<div class="line"><a name="l00901"></a><span class="lineno"> 901</span>  eq[1].setup( 0.0, 0.0, 1.0, 0.5 * valueEnd );</div>
|
|
<div class="line"><a name="l00902"></a><span class="lineno"> 902</span>  <span class="keywordflow">break</span>;</div>
|
|
<div class="line"><a name="l00903"></a><span class="lineno"> 903</span>  }</div>
|
|
<div class="line"><a name="l00904"></a><span class="lineno"> 904</span>  <span class="keywordflow">case</span> <a class="code" href="class_qwt_spline.html#af2195032fa62c2b9fe74dc4d44b636cba897bc245acbf65ee2f1801c779de15b3">QwtSpline::Clamped3</a>:</div>
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|
<div class="line"><a name="l00905"></a><span class="lineno"> 905</span>  {</div>
|
|
<div class="line"><a name="l00906"></a><span class="lineno"> 906</span>  <span class="comment">// third derivative at end point given</span></div>
|
|
<div class="line"><a name="l00907"></a><span class="lineno"> 907</span>  eq[1].setup( 0.0, 1.0, -1.0, -0.5 * valueEnd * hn );</div>
|
|
<div class="line"><a name="l00908"></a><span class="lineno"> 908</span>  <span class="keywordflow">break</span>;</div>
|
|
<div class="line"><a name="l00909"></a><span class="lineno"> 909</span>  }</div>
|
|
<div class="line"><a name="l00910"></a><span class="lineno"> 910</span>  <span class="keywordflow">case</span> <a class="code" href="class_qwt_spline.html#af2195032fa62c2b9fe74dc4d44b636cba6ad4241cc59f456d77eb70b289e5782a">QwtSpline::LinearRunout</a>:</div>
|
|
<div class="line"><a name="l00911"></a><span class="lineno"> 911</span>  {</div>
|
|
<div class="line"><a name="l00912"></a><span class="lineno"> 912</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> rn = qBound( 0.0, valueEnd, 1.0 );</div>
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|
<div class="line"><a name="l00913"></a><span class="lineno"> 913</span>  <span class="keywordflow">if</span> ( rn == 0.0 )</div>
|
|
<div class="line"><a name="l00914"></a><span class="lineno"> 914</span>  {</div>
|
|
<div class="line"><a name="l00915"></a><span class="lineno"> 915</span>  <span class="comment">// clamping sn</span></div>
|
|
<div class="line"><a name="l00916"></a><span class="lineno"> 916</span>  eq[1].setup( 0.0, 1.0 / 3.0 * hn, 2.0 / 3.0 * hn, 0.0 );</div>
|
|
<div class="line"><a name="l00917"></a><span class="lineno"> 917</span>  }</div>
|
|
<div class="line"><a name="l00918"></a><span class="lineno"> 918</span>  <span class="keywordflow">else</span></div>
|
|
<div class="line"><a name="l00919"></a><span class="lineno"> 919</span>  {</div>
|
|
<div class="line"><a name="l00920"></a><span class="lineno"> 920</span>  eq[1].setup( 0.0, 2.0 + 1.0 / rn, 1.0 + 2.0 / rn, 0.0 );</div>
|
|
<div class="line"><a name="l00921"></a><span class="lineno"> 921</span>  }</div>
|
|
<div class="line"><a name="l00922"></a><span class="lineno"> 922</span>  </div>
|
|
<div class="line"><a name="l00923"></a><span class="lineno"> 923</span>  <span class="keywordflow">break</span>;</div>
|
|
<div class="line"><a name="l00924"></a><span class="lineno"> 924</span>  }</div>
|
|
<div class="line"><a name="l00925"></a><span class="lineno"> 925</span>  <span class="keywordflow">case</span> <a class="code" href="class_qwt_spline_c2.html#aa26bfd4bf07baf03fcf47c8f73f632afa1193d143aa03aa9c874bd9b26f57847b">QwtSplineC2::NotAKnot</a>:</div>
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|
<div class="line"><a name="l00926"></a><span class="lineno"> 926</span>  <span class="keywordflow">case</span> <a class="code" href="class_qwt_spline_c2.html#aa26bfd4bf07baf03fcf47c8f73f632afa850dacde625b21daa3ee408df0400119">QwtSplineC2::CubicRunout</a>:</div>
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|
<div class="line"><a name="l00927"></a><span class="lineno"> 927</span>  {</div>
|
|
<div class="line"><a name="l00928"></a><span class="lineno"> 928</span>  <span class="comment">// building one cubic curve from 3 points</span></div>
|
|
<div class="line"><a name="l00929"></a><span class="lineno"> 929</span>  </div>
|
|
<div class="line"><a name="l00930"></a><span class="lineno"> 930</span>  <span class="keywordtype">double</span> vn;</div>
|
|
<div class="line"><a name="l00931"></a><span class="lineno"> 931</span>  </div>
|
|
<div class="line"><a name="l00932"></a><span class="lineno"> 932</span>  <span class="keywordflow">if</span> ( conditionEnd == <a class="code" href="class_qwt_spline_c2.html#aa26bfd4bf07baf03fcf47c8f73f632afa850dacde625b21daa3ee408df0400119">QwtSplineC2::CubicRunout</a> )</div>
|
|
<div class="line"><a name="l00933"></a><span class="lineno"> 933</span>  {</div>
|
|
<div class="line"><a name="l00934"></a><span class="lineno"> 934</span>  <span class="comment">// last point is the endpoints of the curve</span></div>
|
|
<div class="line"><a name="l00935"></a><span class="lineno"> 935</span>  vn = 1.0;</div>
|
|
<div class="line"><a name="l00936"></a><span class="lineno"> 936</span>  }</div>
|
|
<div class="line"><a name="l00937"></a><span class="lineno"> 937</span>  <span class="keywordflow">else</span></div>
|
|
<div class="line"><a name="l00938"></a><span class="lineno"> 938</span>  {</div>
|
|
<div class="line"><a name="l00939"></a><span class="lineno"> 939</span>  <span class="comment">// last points on the curve,</span></div>
|
|
<div class="line"><a name="l00940"></a><span class="lineno"> 940</span>  <span class="comment">// the imaginary endpoints have the same distance as hn</span></div>
|
|
<div class="line"><a name="l00941"></a><span class="lineno"> 941</span>  </div>
|
|
<div class="line"><a name="l00942"></a><span class="lineno"> 942</span>  vn = hn / ( points[n - 2].x() - points[n - 3].x() );</div>
|
|
<div class="line"><a name="l00943"></a><span class="lineno"> 943</span>  }</div>
|
|
<div class="line"><a name="l00944"></a><span class="lineno"> 944</span>  </div>
|
|
<div class="line"><a name="l00945"></a><span class="lineno"> 945</span>  eq[1].setup( vn, -( 1.0 + vn ), 1.0, 0.0 );</div>
|
|
<div class="line"><a name="l00946"></a><span class="lineno"> 946</span>  <span class="keywordflow">break</span>;</div>
|
|
<div class="line"><a name="l00947"></a><span class="lineno"> 947</span>  }</div>
|
|
<div class="line"><a name="l00948"></a><span class="lineno"> 948</span>  <span class="keywordflow">default</span>:</div>
|
|
<div class="line"><a name="l00949"></a><span class="lineno"> 949</span>  {</div>
|
|
<div class="line"><a name="l00950"></a><span class="lineno"> 950</span>  <span class="comment">// a natural spline, where the</span></div>
|
|
<div class="line"><a name="l00951"></a><span class="lineno"> 951</span>  <span class="comment">// second derivative at end points set to 0.0</span></div>
|
|
<div class="line"><a name="l00952"></a><span class="lineno"> 952</span>  eq[1].setup( 0.0, 0.0, 1.0, 0.0 );</div>
|
|
<div class="line"><a name="l00953"></a><span class="lineno"> 953</span>  <span class="keywordflow">break</span>;</div>
|
|
<div class="line"><a name="l00954"></a><span class="lineno"> 954</span>  }</div>
|
|
<div class="line"><a name="l00955"></a><span class="lineno"> 955</span>  }</div>
|
|
<div class="line"><a name="l00956"></a><span class="lineno"> 956</span> }</div>
|
|
<div class="line"><a name="l00957"></a><span class="lineno"> 957</span>  </div>
|
|
<div class="line"><a name="l00958"></a><span class="lineno"> 958</span> <span class="keyword">class </span>QwtSplineCubic::PrivateData</div>
|
|
<div class="line"><a name="l00959"></a><span class="lineno"> 959</span> {</div>
|
|
<div class="line"><a name="l00960"></a><span class="lineno"> 960</span> };</div>
|
|
<div class="line"><a name="l00961"></a><span class="lineno"> 961</span>  </div>
|
|
<div class="line"><a name="l00966"></a><span class="lineno"><a class="line" href="class_qwt_spline_cubic.html#a1b2be8cd279e9c4c11d575af0149c76c"> 966</a></span> <a class="code" href="class_qwt_spline_cubic.html#a1b2be8cd279e9c4c11d575af0149c76c">QwtSplineCubic::QwtSplineCubic</a>()</div>
|
|
<div class="line"><a name="l00967"></a><span class="lineno"> 967</span>  : m_data( nullptr )</div>
|
|
<div class="line"><a name="l00968"></a><span class="lineno"> 968</span> {</div>
|
|
<div class="line"><a name="l00969"></a><span class="lineno"> 969</span>  <span class="comment">// a natural spline</span></div>
|
|
<div class="line"><a name="l00970"></a><span class="lineno"> 970</span>  </div>
|
|
<div class="line"><a name="l00971"></a><span class="lineno"> 971</span>  <a class="code" href="class_qwt_spline.html#a6306d24451d24f16d30880b9114d3052">setBoundaryCondition</a>( <a class="code" href="class_qwt_spline.html#a21cca305dad4f1e21437953c4801595aa0efcdb6fbf1e583097ec297b43f26024">QwtSpline::AtBeginning</a>, <a class="code" href="class_qwt_spline.html#af2195032fa62c2b9fe74dc4d44b636cba43442b0f55b141b857d6c2ab56cd9afe">QwtSpline::Clamped2</a> );</div>
|
|
<div class="line"><a name="l00972"></a><span class="lineno"> 972</span>  <a class="code" href="class_qwt_spline.html#ac14c58e4301b85732c97a4daaf7a9b8b">setBoundaryValue</a>( <a class="code" href="class_qwt_spline.html#a21cca305dad4f1e21437953c4801595aa0efcdb6fbf1e583097ec297b43f26024">QwtSpline::AtBeginning</a>, 0.0 );</div>
|
|
<div class="line"><a name="l00973"></a><span class="lineno"> 973</span>  </div>
|
|
<div class="line"><a name="l00974"></a><span class="lineno"> 974</span>  <a class="code" href="class_qwt_spline.html#a6306d24451d24f16d30880b9114d3052">setBoundaryCondition</a>( <a class="code" href="class_qwt_spline.html#a21cca305dad4f1e21437953c4801595aa633399daff8a04d92e61ca776e878e55">QwtSpline::AtEnd</a>, <a class="code" href="class_qwt_spline.html#af2195032fa62c2b9fe74dc4d44b636cba43442b0f55b141b857d6c2ab56cd9afe">QwtSpline::Clamped2</a> );</div>
|
|
<div class="line"><a name="l00975"></a><span class="lineno"> 975</span>  <a class="code" href="class_qwt_spline.html#ac14c58e4301b85732c97a4daaf7a9b8b">setBoundaryValue</a>( <a class="code" href="class_qwt_spline.html#a21cca305dad4f1e21437953c4801595aa633399daff8a04d92e61ca776e878e55">QwtSpline::AtEnd</a>, 0.0 );</div>
|
|
<div class="line"><a name="l00976"></a><span class="lineno"> 976</span> }</div>
|
|
<div class="line"><a name="l00977"></a><span class="lineno"> 977</span>  </div>
|
|
<div class="line"><a name="l00979"></a><span class="lineno"><a class="line" href="class_qwt_spline_cubic.html#a5106e34c989523d8855ab6f3a3c92a99"> 979</a></span> <a class="code" href="class_qwt_spline_cubic.html#a5106e34c989523d8855ab6f3a3c92a99">QwtSplineCubic::~QwtSplineCubic</a>()</div>
|
|
<div class="line"><a name="l00980"></a><span class="lineno"> 980</span> {</div>
|
|
<div class="line"><a name="l00981"></a><span class="lineno"> 981</span> }</div>
|
|
<div class="line"><a name="l00982"></a><span class="lineno"> 982</span>  </div>
|
|
<div class="line"><a name="l00989"></a><span class="lineno"><a class="line" href="class_qwt_spline_cubic.html#a57556203619b795b319b186a39d1005c"> 989</a></span> uint <a class="code" href="class_qwt_spline_cubic.html#a57556203619b795b319b186a39d1005c">QwtSplineCubic::locality</a>()<span class="keyword"> const</span></div>
|
|
<div class="line"><a name="l00990"></a><span class="lineno"> 990</span> <span class="keyword"></span>{</div>
|
|
<div class="line"><a name="l00991"></a><span class="lineno"> 991</span>  <span class="keywordflow">return</span> 0;</div>
|
|
<div class="line"><a name="l00992"></a><span class="lineno"> 992</span> }</div>
|
|
<div class="line"><a name="l00993"></a><span class="lineno"> 993</span>  </div>
|
|
<div class="line"><a name="l01006"></a><span class="lineno"><a class="line" href="class_qwt_spline_cubic.html#aca2090145ab5ebf20ab38f7b9ae70d16"> 1006</a></span> <a class="code" href="class_q_vector.html">QVector< double ></a> <a class="code" href="class_qwt_spline_cubic.html#aca2090145ab5ebf20ab38f7b9ae70d16">QwtSplineCubic::slopes</a>( <span class="keyword">const</span> QPolygonF& points )<span class="keyword"> const</span></div>
|
|
<div class="line"><a name="l01007"></a><span class="lineno"> 1007</span> <span class="keyword"></span>{</div>
|
|
<div class="line"><a name="l01008"></a><span class="lineno"> 1008</span>  <span class="keyword">using namespace </span>QwtSplineCubicP;</div>
|
|
<div class="line"><a name="l01009"></a><span class="lineno"> 1009</span>  </div>
|
|
<div class="line"><a name="l01010"></a><span class="lineno"> 1010</span>  <span class="keywordflow">if</span> ( points.size() <= 2 )</div>
|
|
<div class="line"><a name="l01011"></a><span class="lineno"> 1011</span>  <span class="keywordflow">return</span> <a class="code" href="class_q_vector.html">QVector< double ></a>();</div>
|
|
<div class="line"><a name="l01012"></a><span class="lineno"> 1012</span>  </div>
|
|
<div class="line"><a name="l01013"></a><span class="lineno"> 1013</span>  <span class="keywordflow">if</span> ( ( <a class="code" href="class_qwt_spline.html#a7f5f43e9e83fd23210ac528802c0496d">boundaryType</a>() == <a class="code" href="class_qwt_spline.html#ad82b1f33946d2489511f5e697a32b128aeec4576967e31745e7d96d3a8a016171">QwtSpline::PeriodicPolygon</a> )</div>
|
|
<div class="line"><a name="l01014"></a><span class="lineno"> 1014</span>  || ( <a class="code" href="class_qwt_spline.html#a7f5f43e9e83fd23210ac528802c0496d">boundaryType</a>() == <a class="code" href="class_qwt_spline.html#ad82b1f33946d2489511f5e697a32b128a63108a1fe17778b7d9c236efc17774b1">QwtSpline::ClosedPolygon</a> ) )</div>
|
|
<div class="line"><a name="l01015"></a><span class="lineno"> 1015</span>  {</div>
|
|
<div class="line"><a name="l01016"></a><span class="lineno"> 1016</span>  EquationSystem2< SlopeStore > eqs;</div>
|
|
<div class="line"><a name="l01017"></a><span class="lineno"> 1017</span>  eqs.resolve( points );</div>
|
|
<div class="line"><a name="l01018"></a><span class="lineno"> 1018</span>  </div>
|
|
<div class="line"><a name="l01019"></a><span class="lineno"> 1019</span>  <span class="keywordflow">return</span> eqs.store().slopes();</div>
|
|
<div class="line"><a name="l01020"></a><span class="lineno"> 1020</span>  }</div>
|
|
<div class="line"><a name="l01021"></a><span class="lineno"> 1021</span>  </div>
|
|
<div class="line"><a name="l01022"></a><span class="lineno"> 1022</span>  <span class="keywordflow">if</span> ( points.size() == 3 )</div>
|
|
<div class="line"><a name="l01023"></a><span class="lineno"> 1023</span>  {</div>
|
|
<div class="line"><a name="l01024"></a><span class="lineno"> 1024</span>  <span class="keywordflow">if</span> ( <a class="code" href="class_qwt_spline.html#a77de5f694c70a7c0b34a02c04093fcee">boundaryCondition</a>( <a class="code" href="class_qwt_spline.html#a21cca305dad4f1e21437953c4801595aa0efcdb6fbf1e583097ec297b43f26024">QwtSpline::AtBeginning</a> ) == <a class="code" href="class_qwt_spline_c2.html#aa26bfd4bf07baf03fcf47c8f73f632afa1193d143aa03aa9c874bd9b26f57847b">QwtSplineCubic::NotAKnot</a></div>
|
|
<div class="line"><a name="l01025"></a><span class="lineno"> 1025</span>  || <a class="code" href="class_qwt_spline.html#a77de5f694c70a7c0b34a02c04093fcee">boundaryCondition</a>( <a class="code" href="class_qwt_spline.html#a21cca305dad4f1e21437953c4801595aa633399daff8a04d92e61ca776e878e55">QwtSpline::AtEnd</a> ) == <a class="code" href="class_qwt_spline_c2.html#aa26bfd4bf07baf03fcf47c8f73f632afa1193d143aa03aa9c874bd9b26f57847b">QwtSplineCubic::NotAKnot</a> )</div>
|
|
<div class="line"><a name="l01026"></a><span class="lineno"> 1026</span>  {</div>
|
|
<div class="line"><a name="l01027"></a><span class="lineno"> 1027</span> <span class="preprocessor">#if 0</span></div>
|
|
<div class="line"><a name="l01028"></a><span class="lineno"> 1028</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> h0 = points[1].x() - points[0].x();</div>
|
|
<div class="line"><a name="l01029"></a><span class="lineno"> 1029</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> h1 = points[2].x() - points[1].x();</div>
|
|
<div class="line"><a name="l01030"></a><span class="lineno"> 1030</span>  </div>
|
|
<div class="line"><a name="l01031"></a><span class="lineno"> 1031</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> s0 = ( points[1].y() - points[0].y() ) / h0;</div>
|
|
<div class="line"><a name="l01032"></a><span class="lineno"> 1032</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> s1 = ( points[2].y() - points[1].y() ) / h1;</div>
|
|
<div class="line"><a name="l01033"></a><span class="lineno"> 1033</span>  </div>
|
|
<div class="line"><a name="l01034"></a><span class="lineno"> 1034</span>  <span class="comment">/*</span></div>
|
|
<div class="line"><a name="l01035"></a><span class="lineno"> 1035</span> <span class="comment"> the system is under-determined and we only</span></div>
|
|
<div class="line"><a name="l01036"></a><span class="lineno"> 1036</span> <span class="comment"> compute a quadratic spline.</span></div>
|
|
<div class="line"><a name="l01037"></a><span class="lineno"> 1037</span> <span class="comment"> */</span></div>
|
|
<div class="line"><a name="l01038"></a><span class="lineno"> 1038</span>  </div>
|
|
<div class="line"><a name="l01039"></a><span class="lineno"> 1039</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> b = ( s1 - s0 ) / ( h0 + h1 );</div>
|
|
<div class="line"><a name="l01040"></a><span class="lineno"> 1040</span>  </div>
|
|
<div class="line"><a name="l01041"></a><span class="lineno"> 1041</span>  <a class="code" href="class_q_vector.html">QVector< double ></a> m( 3 );</div>
|
|
<div class="line"><a name="l01042"></a><span class="lineno"> 1042</span>  m[0] = s0 - h0 * b;</div>
|
|
<div class="line"><a name="l01043"></a><span class="lineno"> 1043</span>  m[1] = s1 - h1 * b;</div>
|
|
<div class="line"><a name="l01044"></a><span class="lineno"> 1044</span>  m[2] = s1 + h1 * b;</div>
|
|
<div class="line"><a name="l01045"></a><span class="lineno"> 1045</span>  </div>
|
|
<div class="line"><a name="l01046"></a><span class="lineno"> 1046</span>  <span class="keywordflow">return</span> m;</div>
|
|
<div class="line"><a name="l01047"></a><span class="lineno"> 1047</span> <span class="preprocessor">#else</span></div>
|
|
<div class="line"><a name="l01048"></a><span class="lineno"> 1048</span>  <span class="keywordflow">return</span> <a class="code" href="class_q_vector.html">QVector< double ></a>();</div>
|
|
<div class="line"><a name="l01049"></a><span class="lineno"> 1049</span> <span class="preprocessor">#endif</span></div>
|
|
<div class="line"><a name="l01050"></a><span class="lineno"> 1050</span>  }</div>
|
|
<div class="line"><a name="l01051"></a><span class="lineno"> 1051</span>  }</div>
|
|
<div class="line"><a name="l01052"></a><span class="lineno"> 1052</span>  </div>
|
|
<div class="line"><a name="l01053"></a><span class="lineno"> 1053</span>  Equation3 eq[2];</div>
|
|
<div class="line"><a name="l01054"></a><span class="lineno"> 1054</span>  qwtSetupEndEquations(</div>
|
|
<div class="line"><a name="l01055"></a><span class="lineno"> 1055</span>  <a class="code" href="class_qwt_spline.html#a77de5f694c70a7c0b34a02c04093fcee">boundaryCondition</a>( <a class="code" href="class_qwt_spline.html#a21cca305dad4f1e21437953c4801595aa0efcdb6fbf1e583097ec297b43f26024">QwtSpline::AtBeginning</a> ),</div>
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<div class="line"><a name="l01056"></a><span class="lineno"> 1056</span>  <a class="code" href="class_qwt_spline.html#a3a51db25eb5f3e4716fe172ae3ca35ec">boundaryValue</a>( <a class="code" href="class_qwt_spline.html#a21cca305dad4f1e21437953c4801595aa0efcdb6fbf1e583097ec297b43f26024">QwtSpline::AtBeginning</a> ),</div>
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<div class="line"><a name="l01057"></a><span class="lineno"> 1057</span>  <a class="code" href="class_qwt_spline.html#a77de5f694c70a7c0b34a02c04093fcee">boundaryCondition</a>( <a class="code" href="class_qwt_spline.html#a21cca305dad4f1e21437953c4801595aa633399daff8a04d92e61ca776e878e55">QwtSpline::AtEnd</a> ),</div>
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<div class="line"><a name="l01058"></a><span class="lineno"> 1058</span>  <a class="code" href="class_qwt_spline.html#a3a51db25eb5f3e4716fe172ae3ca35ec">boundaryValue</a>( <a class="code" href="class_qwt_spline.html#a21cca305dad4f1e21437953c4801595aa633399daff8a04d92e61ca776e878e55">QwtSpline::AtEnd</a> ),</div>
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<div class="line"><a name="l01059"></a><span class="lineno"> 1059</span>  points, eq );</div>
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<div class="line"><a name="l01060"></a><span class="lineno"> 1060</span>  </div>
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<div class="line"><a name="l01061"></a><span class="lineno"> 1061</span>  EquationSystem< SlopeStore > eqs;</div>
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<div class="line"><a name="l01062"></a><span class="lineno"> 1062</span>  eqs.setStartCondition( eq[0].p, eq[0].q, eq[0].u, eq[0].r );</div>
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<div class="line"><a name="l01063"></a><span class="lineno"> 1063</span>  eqs.setEndCondition( eq[1].p, eq[1].q, eq[1].u, eq[1].r );</div>
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<div class="line"><a name="l01064"></a><span class="lineno"> 1064</span>  eqs.resolve( points );</div>
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<div class="line"><a name="l01065"></a><span class="lineno"> 1065</span>  </div>
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<div class="line"><a name="l01066"></a><span class="lineno"> 1066</span>  <span class="keywordflow">return</span> eqs.store().slopes();</div>
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<div class="line"><a name="l01067"></a><span class="lineno"> 1067</span> }</div>
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<div class="line"><a name="l01068"></a><span class="lineno"> 1068</span>  </div>
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<div class="line"><a name="l01078"></a><span class="lineno"><a class="line" href="class_qwt_spline_cubic.html#a8320f8745bf375f1433020edcb0e9def"> 1078</a></span> <a class="code" href="class_q_vector.html">QVector< double ></a> <a class="code" href="class_qwt_spline_cubic.html#a8320f8745bf375f1433020edcb0e9def">QwtSplineCubic::curvatures</a>( <span class="keyword">const</span> QPolygonF& points )<span class="keyword"> const</span></div>
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<div class="line"><a name="l01079"></a><span class="lineno"> 1079</span> <span class="keyword"></span>{</div>
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<div class="line"><a name="l01080"></a><span class="lineno"> 1080</span>  <span class="keyword">using namespace </span>QwtSplineCubicP;</div>
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<div class="line"><a name="l01081"></a><span class="lineno"> 1081</span>  </div>
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<div class="line"><a name="l01082"></a><span class="lineno"> 1082</span>  <span class="keywordflow">if</span> ( points.size() <= 2 )</div>
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<div class="line"><a name="l01083"></a><span class="lineno"> 1083</span>  <span class="keywordflow">return</span> <a class="code" href="class_q_vector.html">QVector< double ></a>();</div>
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<div class="line"><a name="l01084"></a><span class="lineno"> 1084</span>  </div>
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<div class="line"><a name="l01085"></a><span class="lineno"> 1085</span>  <span class="keywordflow">if</span> ( ( <a class="code" href="class_qwt_spline.html#a7f5f43e9e83fd23210ac528802c0496d">boundaryType</a>() == <a class="code" href="class_qwt_spline.html#ad82b1f33946d2489511f5e697a32b128aeec4576967e31745e7d96d3a8a016171">QwtSpline::PeriodicPolygon</a> )</div>
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<div class="line"><a name="l01086"></a><span class="lineno"> 1086</span>  || ( <a class="code" href="class_qwt_spline.html#a7f5f43e9e83fd23210ac528802c0496d">boundaryType</a>() == <a class="code" href="class_qwt_spline.html#ad82b1f33946d2489511f5e697a32b128a63108a1fe17778b7d9c236efc17774b1">QwtSpline::ClosedPolygon</a> ) )</div>
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<div class="line"><a name="l01087"></a><span class="lineno"> 1087</span>  {</div>
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|
<div class="line"><a name="l01088"></a><span class="lineno"> 1088</span>  EquationSystem2< CurvatureStore > eqs;</div>
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<div class="line"><a name="l01089"></a><span class="lineno"> 1089</span>  eqs.resolve( points );</div>
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<div class="line"><a name="l01090"></a><span class="lineno"> 1090</span>  </div>
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|
<div class="line"><a name="l01091"></a><span class="lineno"> 1091</span>  <span class="keywordflow">return</span> eqs.store().curvatures();</div>
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<div class="line"><a name="l01092"></a><span class="lineno"> 1092</span>  }</div>
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<div class="line"><a name="l01093"></a><span class="lineno"> 1093</span>  </div>
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<div class="line"><a name="l01094"></a><span class="lineno"> 1094</span>  <span class="keywordflow">if</span> ( points.size() == 3 )</div>
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<div class="line"><a name="l01095"></a><span class="lineno"> 1095</span>  {</div>
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<div class="line"><a name="l01096"></a><span class="lineno"> 1096</span>  <span class="keywordflow">if</span> ( <a class="code" href="class_qwt_spline.html#a77de5f694c70a7c0b34a02c04093fcee">boundaryCondition</a>( <a class="code" href="class_qwt_spline.html#a21cca305dad4f1e21437953c4801595aa0efcdb6fbf1e583097ec297b43f26024">QwtSpline::AtBeginning</a> ) == <a class="code" href="class_qwt_spline_c2.html#aa26bfd4bf07baf03fcf47c8f73f632afa1193d143aa03aa9c874bd9b26f57847b">QwtSplineC2::NotAKnot</a></div>
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<div class="line"><a name="l01097"></a><span class="lineno"> 1097</span>  || <a class="code" href="class_qwt_spline.html#a77de5f694c70a7c0b34a02c04093fcee">boundaryCondition</a>( <a class="code" href="class_qwt_spline.html#a21cca305dad4f1e21437953c4801595aa633399daff8a04d92e61ca776e878e55">QwtSpline::AtEnd</a> ) == <a class="code" href="class_qwt_spline_c2.html#aa26bfd4bf07baf03fcf47c8f73f632afa1193d143aa03aa9c874bd9b26f57847b">QwtSplineC2::NotAKnot</a> )</div>
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<div class="line"><a name="l01098"></a><span class="lineno"> 1098</span>  {</div>
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<div class="line"><a name="l01099"></a><span class="lineno"> 1099</span>  <span class="keywordflow">return</span> <a class="code" href="class_q_vector.html">QVector< double ></a>();</div>
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<div class="line"><a name="l01100"></a><span class="lineno"> 1100</span>  }</div>
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<div class="line"><a name="l01101"></a><span class="lineno"> 1101</span>  }</div>
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<div class="line"><a name="l01102"></a><span class="lineno"> 1102</span>  </div>
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<div class="line"><a name="l01103"></a><span class="lineno"> 1103</span>  Equation3 eq[2];</div>
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<div class="line"><a name="l01104"></a><span class="lineno"> 1104</span>  qwtSetupEndEquations(</div>
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<div class="line"><a name="l01105"></a><span class="lineno"> 1105</span>  <a class="code" href="class_qwt_spline.html#a77de5f694c70a7c0b34a02c04093fcee">boundaryCondition</a>( <a class="code" href="class_qwt_spline.html#a21cca305dad4f1e21437953c4801595aa0efcdb6fbf1e583097ec297b43f26024">QwtSpline::AtBeginning</a> ),</div>
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<div class="line"><a name="l01106"></a><span class="lineno"> 1106</span>  <a class="code" href="class_qwt_spline.html#a3a51db25eb5f3e4716fe172ae3ca35ec">boundaryValue</a>( <a class="code" href="class_qwt_spline.html#a21cca305dad4f1e21437953c4801595aa0efcdb6fbf1e583097ec297b43f26024">QwtSpline::AtBeginning</a> ),</div>
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<div class="line"><a name="l01107"></a><span class="lineno"> 1107</span>  <a class="code" href="class_qwt_spline.html#a77de5f694c70a7c0b34a02c04093fcee">boundaryCondition</a>( <a class="code" href="class_qwt_spline.html#a21cca305dad4f1e21437953c4801595aa633399daff8a04d92e61ca776e878e55">QwtSpline::AtEnd</a> ),</div>
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<div class="line"><a name="l01108"></a><span class="lineno"> 1108</span>  <a class="code" href="class_qwt_spline.html#a3a51db25eb5f3e4716fe172ae3ca35ec">boundaryValue</a>( <a class="code" href="class_qwt_spline.html#a21cca305dad4f1e21437953c4801595aa633399daff8a04d92e61ca776e878e55">QwtSpline::AtEnd</a> ),</div>
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<div class="line"><a name="l01109"></a><span class="lineno"> 1109</span>  points, eq );</div>
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<div class="line"><a name="l01110"></a><span class="lineno"> 1110</span>  </div>
|
|
<div class="line"><a name="l01111"></a><span class="lineno"> 1111</span>  EquationSystem< CurvatureStore > eqs;</div>
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<div class="line"><a name="l01112"></a><span class="lineno"> 1112</span>  eqs.setStartCondition( eq[0].p, eq[0].q, eq[0].u, eq[0].r );</div>
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<div class="line"><a name="l01113"></a><span class="lineno"> 1113</span>  eqs.setEndCondition( eq[1].p, eq[1].q, eq[1].u, eq[1].r );</div>
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<div class="line"><a name="l01114"></a><span class="lineno"> 1114</span>  eqs.resolve( points );</div>
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<div class="line"><a name="l01115"></a><span class="lineno"> 1115</span>  </div>
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|
<div class="line"><a name="l01116"></a><span class="lineno"> 1116</span>  <span class="keywordflow">return</span> eqs.store().curvatures();</div>
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<div class="line"><a name="l01117"></a><span class="lineno"> 1117</span> }</div>
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<div class="line"><a name="l01118"></a><span class="lineno"> 1118</span>  </div>
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<div class="line"><a name="l01130"></a><span class="lineno"><a class="line" href="class_qwt_spline_cubic.html#a57a7f07630c5e101eaee886460b28f24"> 1130</a></span> QPainterPath <a class="code" href="class_qwt_spline_cubic.html#a57a7f07630c5e101eaee886460b28f24">QwtSplineCubic::painterPath</a>( <span class="keyword">const</span> QPolygonF& points )<span class="keyword"> const</span></div>
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<div class="line"><a name="l01131"></a><span class="lineno"> 1131</span> <span class="keyword"></span>{</div>
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<div class="line"><a name="l01132"></a><span class="lineno"> 1132</span>  <span class="comment">// as QwtSplineCubic can calculate slopes directly we can</span></div>
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|
<div class="line"><a name="l01133"></a><span class="lineno"> 1133</span>  <span class="comment">// use the implementation of QwtSplineC1 without any performance loss.</span></div>
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|
<div class="line"><a name="l01134"></a><span class="lineno"> 1134</span>  </div>
|
|
<div class="line"><a name="l01135"></a><span class="lineno"> 1135</span>  <span class="keywordflow">return</span> <a class="code" href="class_qwt_spline_c1.html#a79a63604fbbdc82dc2d39ecc4e32df80">QwtSplineC1::painterPath</a>( points );</div>
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<div class="line"><a name="l01136"></a><span class="lineno"> 1136</span> }</div>
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<div class="line"><a name="l01137"></a><span class="lineno"> 1137</span>  </div>
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<div class="line"><a name="l01149"></a><span class="lineno"><a class="line" href="class_qwt_spline_cubic.html#a7c1a9dac4fa9a10f90bfc968770770dd"> 1149</a></span> <a class="code" href="class_q_vector.html">QVector< QLineF ></a> <a class="code" href="class_qwt_spline_cubic.html#a7c1a9dac4fa9a10f90bfc968770770dd">QwtSplineCubic::bezierControlLines</a>( <span class="keyword">const</span> QPolygonF& points )<span class="keyword"> const</span></div>
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<div class="line"><a name="l01150"></a><span class="lineno"> 1150</span> <span class="keyword"></span>{</div>
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<div class="line"><a name="l01151"></a><span class="lineno"> 1151</span>  <span class="comment">// as QwtSplineCubic can calculate slopes directly we can</span></div>
|
|
<div class="line"><a name="l01152"></a><span class="lineno"> 1152</span>  <span class="comment">// use the implementation of QwtSplineC1 without any performance loss.</span></div>
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<div class="line"><a name="l01153"></a><span class="lineno"> 1153</span>  </div>
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<div class="line"><a name="l01154"></a><span class="lineno"> 1154</span>  <span class="keywordflow">return</span> <a class="code" href="class_qwt_spline_c1.html#a95bd3ff76fa0975f07b2351f4194e60e">QwtSplineC1::bezierControlLines</a>( points );</div>
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|
<div class="line"><a name="l01155"></a><span class="lineno"> 1155</span> }</div>
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|
<div class="line"><a name="l01156"></a><span class="lineno"> 1156</span>  </div>
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<div class="line"><a name="l01167"></a><span class="lineno"><a class="line" href="class_qwt_spline_cubic.html#afa46c0c18238fde55101ac61b3a99353"> 1167</a></span> <a class="code" href="class_q_vector.html">QVector< QwtSplinePolynomial ></a> <a class="code" href="class_qwt_spline_cubic.html#afa46c0c18238fde55101ac61b3a99353">QwtSplineCubic::polynomials</a>( <span class="keyword">const</span> QPolygonF& points )<span class="keyword"> const</span></div>
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<div class="line"><a name="l01168"></a><span class="lineno"> 1168</span> <span class="keyword"></span>{</div>
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<div class="line"><a name="l01169"></a><span class="lineno"> 1169</span>  <span class="keywordflow">return</span> <a class="code" href="class_qwt_spline_c2.html#ab7502fe760f6c98b46fe9bd9fc24813b">QwtSplineC2::polynomials</a>( points );</div>
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<div class="line"><a name="l01170"></a><span class="lineno"> 1170</span> }</div>
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<div class="line"><a name="l01171"></a><span class="lineno"> 1171</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_c1_html_a79a63604fbbdc82dc2d39ecc4e32df80"><div class="ttname"><a href="class_qwt_spline_c1.html#a79a63604fbbdc82dc2d39ecc4e32df80">QwtSplineC1::painterPath</a></div><div class="ttdeci">virtual QPainterPath painterPath(const QPolygonF &) const override</div><div class="ttdoc">Calculate an interpolated painter path.</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline_8cpp_source.html#l01043">qwt_spline.cpp:1043</a></div></div>
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<div class="ttc" id="aclass_qwt_spline_c1_html_a95bd3ff76fa0975f07b2351f4194e60e"><div class="ttname"><a href="class_qwt_spline_c1.html#a95bd3ff76fa0975f07b2351f4194e60e">QwtSplineC1::bezierControlLines</a></div><div class="ttdeci">virtual QVector< QLineF > bezierControlLines(const QPolygonF &) const override</div><div class="ttdoc">Interpolate a curve with Bezier curves.</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline_8cpp_source.html#l01101">qwt_spline.cpp:1101</a></div></div>
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<div class="ttc" id="aclass_qwt_spline_c2_html_aa26bfd4bf07baf03fcf47c8f73f632afa1193d143aa03aa9c874bd9b26f57847b"><div class="ttname"><a href="class_qwt_spline_c2.html#aa26bfd4bf07baf03fcf47c8f73f632afa1193d143aa03aa9c874bd9b26f57847b">QwtSplineC2::NotAKnot</a></div><div class="ttdeci">@ NotAKnot</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline_8h_source.html#l00293">qwt_spline.h:292</a></div></div>
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<div class="ttc" id="aclass_qwt_spline_c2_html_aa26bfd4bf07baf03fcf47c8f73f632afa850dacde625b21daa3ee408df0400119"><div class="ttname"><a href="class_qwt_spline_c2.html#aa26bfd4bf07baf03fcf47c8f73f632afa850dacde625b21daa3ee408df0400119">QwtSplineC2::CubicRunout</a></div><div class="ttdeci">@ CubicRunout</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline_8h_source.html#l00283">qwt_spline.h:283</a></div></div>
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<div class="ttc" id="aclass_qwt_spline_c2_html_ab7502fe760f6c98b46fe9bd9fc24813b"><div class="ttname"><a href="class_qwt_spline_c2.html#ab7502fe760f6c98b46fe9bd9fc24813b">QwtSplineC2::polynomials</a></div><div class="ttdeci">virtual QVector< QwtSplinePolynomial > polynomials(const QPolygonF &) const override</div><div class="ttdoc">Calculate the interpolating polynomials for a non parametric spline.</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline_8cpp_source.html#l01381">qwt_spline.cpp:1381</a></div></div>
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<div class="ttc" id="aclass_qwt_spline_cubic_html_a1b2be8cd279e9c4c11d575af0149c76c"><div class="ttname"><a href="class_qwt_spline_cubic.html#a1b2be8cd279e9c4c11d575af0149c76c">QwtSplineCubic::QwtSplineCubic</a></div><div class="ttdeci">QwtSplineCubic()</div><div class="ttdoc">Constructor The default setting is a non closing natural spline with no parametrization.</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline__cubic_8cpp_source.html#l00966">qwt_spline_cubic.cpp:966</a></div></div>
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<div class="ttc" id="aclass_qwt_spline_cubic_html_a5106e34c989523d8855ab6f3a3c92a99"><div class="ttname"><a href="class_qwt_spline_cubic.html#a5106e34c989523d8855ab6f3a3c92a99">QwtSplineCubic::~QwtSplineCubic</a></div><div class="ttdeci">virtual ~QwtSplineCubic()</div><div class="ttdoc">Destructor.</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline__cubic_8cpp_source.html#l00979">qwt_spline_cubic.cpp:979</a></div></div>
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<div class="ttc" id="aclass_qwt_spline_cubic_html_a57556203619b795b319b186a39d1005c"><div class="ttname"><a href="class_qwt_spline_cubic.html#a57556203619b795b319b186a39d1005c">QwtSplineCubic::locality</a></div><div class="ttdeci">virtual uint locality() const override</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline__cubic_8cpp_source.html#l00989">qwt_spline_cubic.cpp:989</a></div></div>
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<div class="ttc" id="aclass_qwt_spline_cubic_html_a57a7f07630c5e101eaee886460b28f24"><div class="ttname"><a href="class_qwt_spline_cubic.html#a57a7f07630c5e101eaee886460b28f24">QwtSplineCubic::painterPath</a></div><div class="ttdeci">virtual QPainterPath painterPath(const QPolygonF &) const override</div><div class="ttdoc">Interpolate a curve with Bezier curves.</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline__cubic_8cpp_source.html#l01130">qwt_spline_cubic.cpp:1130</a></div></div>
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<div class="ttc" id="aclass_qwt_spline_cubic_html_a7c1a9dac4fa9a10f90bfc968770770dd"><div class="ttname"><a href="class_qwt_spline_cubic.html#a7c1a9dac4fa9a10f90bfc968770770dd">QwtSplineCubic::bezierControlLines</a></div><div class="ttdeci">virtual QVector< QLineF > bezierControlLines(const QPolygonF &points) const override</div><div class="ttdoc">Interpolate a curve with Bezier curves.</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline__cubic_8cpp_source.html#l01149">qwt_spline_cubic.cpp:1149</a></div></div>
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<div class="ttc" id="aclass_qwt_spline_cubic_html_a8320f8745bf375f1433020edcb0e9def"><div class="ttname"><a href="class_qwt_spline_cubic.html#a8320f8745bf375f1433020edcb0e9def">QwtSplineCubic::curvatures</a></div><div class="ttdeci">virtual QVector< double > curvatures(const QPolygonF &) const override</div><div class="ttdoc">Find the second derivative at the control points.</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline__cubic_8cpp_source.html#l01078">qwt_spline_cubic.cpp:1078</a></div></div>
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<div class="ttc" id="aclass_qwt_spline_cubic_html_aca2090145ab5ebf20ab38f7b9ae70d16"><div class="ttname"><a href="class_qwt_spline_cubic.html#aca2090145ab5ebf20ab38f7b9ae70d16">QwtSplineCubic::slopes</a></div><div class="ttdeci">virtual QVector< double > slopes(const QPolygonF &) const override</div><div class="ttdoc">Find the first derivative at the control points.</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline__cubic_8cpp_source.html#l01006">qwt_spline_cubic.cpp:1006</a></div></div>
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<div class="ttc" id="aclass_qwt_spline_cubic_html_afa46c0c18238fde55101ac61b3a99353"><div class="ttname"><a href="class_qwt_spline_cubic.html#afa46c0c18238fde55101ac61b3a99353">QwtSplineCubic::polynomials</a></div><div class="ttdeci">virtual QVector< QwtSplinePolynomial > polynomials(const QPolygonF &) const override</div><div class="ttdoc">Calculate the interpolating polynomials for a non parametric spline.</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline__cubic_8cpp_source.html#l01167">qwt_spline_cubic.cpp:1167</a></div></div>
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<div class="ttc" id="aclass_qwt_spline_html_a21cca305dad4f1e21437953c4801595aa0efcdb6fbf1e583097ec297b43f26024"><div class="ttname"><a href="class_qwt_spline.html#a21cca305dad4f1e21437953c4801595aa0efcdb6fbf1e583097ec297b43f26024">QwtSpline::AtBeginning</a></div><div class="ttdeci">@ AtBeginning</div><div class="ttdoc">the condition is at the beginning of the polynomial</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline_8h_source.html#l00102">qwt_spline.h:102</a></div></div>
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<div class="ttc" id="aclass_qwt_spline_html_a21cca305dad4f1e21437953c4801595aa633399daff8a04d92e61ca776e878e55"><div class="ttname"><a href="class_qwt_spline.html#a21cca305dad4f1e21437953c4801595aa633399daff8a04d92e61ca776e878e55">QwtSpline::AtEnd</a></div><div class="ttdeci">@ AtEnd</div><div class="ttdoc">the condition is at the end of the polynomial</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline_8h_source.html#l00106">qwt_spline.h:105</a></div></div>
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<div class="ttc" id="aclass_qwt_spline_html_a3a51db25eb5f3e4716fe172ae3ca35ec"><div class="ttname"><a href="class_qwt_spline.html#a3a51db25eb5f3e4716fe172ae3ca35ec">QwtSpline::boundaryValue</a></div><div class="ttdeci">double boundaryValue(BoundaryPosition) const</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline_8cpp_source.html#l00682">qwt_spline.cpp:682</a></div></div>
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<div class="ttc" id="aclass_qwt_spline_html_a6306d24451d24f16d30880b9114d3052"><div class="ttname"><a href="class_qwt_spline.html#a6306d24451d24f16d30880b9114d3052">QwtSpline::setBoundaryCondition</a></div><div class="ttdeci">void setBoundaryCondition(BoundaryPosition, int condition)</div><div class="ttdoc">Define the condition for an endpoint of the spline.</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline_8cpp_source.html#l00639">qwt_spline.cpp:639</a></div></div>
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<div class="ttc" id="aclass_qwt_spline_html_a77de5f694c70a7c0b34a02c04093fcee"><div class="ttname"><a href="class_qwt_spline.html#a77de5f694c70a7c0b34a02c04093fcee">QwtSpline::boundaryCondition</a></div><div class="ttdeci">int boundaryCondition(BoundaryPosition) const</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline_8cpp_source.html#l00651">qwt_spline.cpp:651</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_ac14c58e4301b85732c97a4daaf7a9b8b"><div class="ttname"><a href="class_qwt_spline.html#ac14c58e4301b85732c97a4daaf7a9b8b">QwtSpline::setBoundaryValue</a></div><div class="ttdeci">void setBoundaryValue(BoundaryPosition, double value)</div><div class="ttdoc">Define the boundary value.</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline_8cpp_source.html#l00670">qwt_spline.cpp:670</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_ad82b1f33946d2489511f5e697a32b128aeec4576967e31745e7d96d3a8a016171"><div class="ttname"><a href="class_qwt_spline.html#ad82b1f33946d2489511f5e697a32b128aeec4576967e31745e7d96d3a8a016171">QwtSpline::PeriodicPolygon</a></div><div class="ttdeci">@ PeriodicPolygon</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline_8h_source.html#l00079">qwt_spline.h:79</a></div></div>
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<div class="ttc" id="aclass_qwt_spline_html_af2195032fa62c2b9fe74dc4d44b636cba43442b0f55b141b857d6c2ab56cd9afe"><div class="ttname"><a href="class_qwt_spline.html#af2195032fa62c2b9fe74dc4d44b636cba43442b0f55b141b857d6c2ab56cd9afe">QwtSpline::Clamped2</a></div><div class="ttdeci">@ Clamped2</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline_8h_source.html#l00134">qwt_spline.h:134</a></div></div>
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<div class="ttc" id="aclass_qwt_spline_html_af2195032fa62c2b9fe74dc4d44b636cba6ad4241cc59f456d77eb70b289e5782a"><div class="ttname"><a href="class_qwt_spline.html#af2195032fa62c2b9fe74dc4d44b636cba6ad4241cc59f456d77eb70b289e5782a">QwtSpline::LinearRunout</a></div><div class="ttdeci">@ LinearRunout</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline_8h_source.html#l00154">qwt_spline.h:153</a></div></div>
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<div class="ttc" id="aclass_qwt_spline_html_af2195032fa62c2b9fe74dc4d44b636cba897bc245acbf65ee2f1801c779de15b3"><div class="ttname"><a href="class_qwt_spline.html#af2195032fa62c2b9fe74dc4d44b636cba897bc245acbf65ee2f1801c779de15b3">QwtSpline::Clamped3</a></div><div class="ttdeci">@ Clamped3</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline_8h_source.html#l00143">qwt_spline.h:143</a></div></div>
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<div class="ttc" id="aclass_qwt_spline_html_af2195032fa62c2b9fe74dc4d44b636cba94d03f64008ad0ed1e2e92bd96414028"><div class="ttname"><a href="class_qwt_spline.html#af2195032fa62c2b9fe74dc4d44b636cba94d03f64008ad0ed1e2e92bd96414028">QwtSpline::Clamped1</a></div><div class="ttdeci">@ Clamped1</div><div class="ttdef"><b>Definition:</b> <a href="qwt__spline_8h_source.html#l00125">qwt_spline.h:125</a></div></div>
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