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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span>&#160;<span class="comment">/* $NoKeywords: $ */</span></div><div class="line"><a name="l00002"></a><span class="lineno"> 2</span>&#160;<span class="comment">/*</span></div><div class="line"><a name="l00003"></a><span class="lineno"> 3</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00004"></a><span class="lineno"> 4</span>&#160;<span class="comment">// Copyright (c) 1993-2012 Robert McNeel &amp; Associates. All rights reserved.</span></div><div class="line"><a name="l00005"></a><span class="lineno"> 5</span>&#160;<span class="comment">// OpenNURBS, Rhinoceros, and Rhino3D are registered trademarks of Robert</span></div><div class="line"><a name="l00006"></a><span class="lineno"> 6</span>&#160;<span class="comment">// McNeel &amp; Associates.</span></div><div class="line"><a name="l00007"></a><span class="lineno"> 7</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00008"></a><span class="lineno"> 8</span>&#160;<span class="comment">// THIS SOFTWARE IS PROVIDED &quot;AS IS&quot; WITHOUT EXPRESS OR IMPLIED WARRANTY.</span></div><div class="line"><a name="l00009"></a><span class="lineno"> 9</span>&#160;<span class="comment">// ALL IMPLIED WARRANTIES OF FITNESS FOR ANY PARTICULAR PURPOSE AND OF</span></div><div class="line"><a name="l00010"></a><span class="lineno"> 10</span>&#160;<span class="comment">// MERCHANTABILITY ARE HEREBY DISCLAIMED.</span></div><div class="line"><a name="l00011"></a><span class="lineno"> 11</span>&#160;<span class="comment">// </span></div><div class="line"><a name="l00012"></a><span class="lineno"> 12</span>&#160;<span class="comment">// For complete openNURBS copyright information see &lt;http://www.opennurbs.org&gt;.</span></div><div class="line"><a name="l00013"></a><span class="lineno"> 13</span>&#160;<span class="comment">//</span><span class="comment"></span></div><div class="line"><a name="l00014"></a><span class="lineno"> 14</span>&#160;<span class="comment">////////////////////////////////////////////////////////////////</span></div><div class="line"><a name="l00015"></a><span class="lineno"> 15</span>&#160;<span class="comment"></span>*/</div><div class="line"><a name="l00016"></a><span class="lineno"> 16</span>&#160;</div><div class="line"><a name="l00017"></a><span class="lineno"> 17</span>&#160;<span class="preprocessor">#if !defined(OPENNURBS_BEZIER_INC_)</span></div><div class="line"><a name="l00018"></a><span class="lineno"> 18</span>&#160;<span class="preprocessor">#define OPENNURBS_BEZIER_INC_</span></div><div class="line"><a name="l00019"></a><span class="lineno"> 19</span>&#160;</div><div class="line"><a name="l00020"></a><span class="lineno"> 20</span>&#160;<span class="keyword">class </span><a class="code" href="../../d1/d97/class_o_n___polynomial_curve.html">ON_PolynomialCurve</a>;</div><div class="line"><a name="l00021"></a><span class="lineno"> 21</span>&#160;<span class="keyword">class </span><a class="code" href="../../df/d4e/class_o_n___polynomial_surface.html">ON_PolynomialSurface</a>;</div><div class="line"><a name="l00022"></a><span class="lineno"> 22</span>&#160;<span class="keyword">class </span><a class="code" href="../../d9/d6f/class_o_n___bezier_curve.html">ON_BezierCurve</a>;</div><div class="line"><a name="l00023"></a><span class="lineno"> 23</span>&#160;<span class="keyword">class </span><a class="code" href="../../d7/dc7/class_o_n___bezier_surface.html">ON_BezierSurface</a>;</div><div class="line"><a name="l00024"></a><span class="lineno"> 24</span>&#160;<span class="keyword">class </span><a class="code" href="../../d2/da3/class_o_n___text_log.html">ON_TextLog</a>;</div><div class="line"><a name="l00025"></a><span class="lineno"> 25</span>&#160;<span class="keyword">class </span><a class="code" href="../../d3/d6a/class_o_n___nurbs_curve.html">ON_NurbsCurve</a>;</div><div class="line"><a name="l00026"></a><span class="lineno"> 26</span>&#160;<span class="keyword">class </span><a class="code" href="../../de/ddc/class_o_n___nurbs_surface.html">ON_NurbsSurface</a>;</div><div class="line"><a name="l00027"></a><span class="lineno"> 27</span>&#160;<span class="keyword">class </span>ON_X_EVENT;</div><div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160;</div><div class="line"><a name="l00029"></a><span class="lineno"><a class="line" href="../../d1/d97/class_o_n___polynomial_curve.html"> 29</a></span>&#160;<span class="keyword">class </span>ON_CLASS <a class="code" href="../../d1/d97/class_o_n___polynomial_curve.html">ON_PolynomialCurve</a></div><div class="line"><a name="l00030"></a><span class="lineno"> 30</span>&#160;{</div><div class="line"><a name="l00031"></a><span class="lineno"> 31</span>&#160;<span class="keyword">public</span>:</div><div class="line"><a name="l00032"></a><span class="lineno"> 32</span>&#160; <a class="code" href="../../d1/d97/class_o_n___polynomial_curve.html">ON_PolynomialCurve</a>();</div><div class="line"><a name="l00033"></a><span class="lineno"> 33</span>&#160;</div><div class="line"><a name="l00034"></a><span class="lineno"> 34</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00035"></a><span class="lineno"> 35</span>&#160; <span class="comment">// See ON_PolynomialCurve::Create.</span></div><div class="line"><a name="l00036"></a><span class="lineno"> 36</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00037"></a><span class="lineno"> 37</span>&#160; <span class="comment">// dim - [in] dimension of the curve</span></div><div class="line"><a name="l00038"></a><span class="lineno"> 38</span>&#160; <span class="comment">// bIsRational - [in] true if rational</span></div><div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160; <span class="comment">// order - [in] (&gt;=2) order = degree+1</span></div><div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160; <a class="code" href="../../d1/d97/class_o_n___polynomial_curve.html">ON_PolynomialCurve</a>(</div><div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160; <span class="keywordtype">int</span> dim,</div><div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160; <span class="keywordtype">bool</span> bIsRational,</div><div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160; <span class="keywordtype">int</span> order</div><div class="line"><a name="l00044"></a><span class="lineno"> 44</span>&#160; );</div><div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160;</div><div class="line"><a name="l00046"></a><span class="lineno"> 46</span>&#160; ~<a class="code" href="../../d1/d97/class_o_n___polynomial_curve.html">ON_PolynomialCurve</a>();</div><div class="line"><a name="l00047"></a><span class="lineno"> 47</span>&#160;</div><div class="line"><a name="l00048"></a><span class="lineno"> 48</span>&#160; <a class="code" href="../../d1/d97/class_o_n___polynomial_curve.html">ON_PolynomialCurve</a>(<span class="keyword">const</span> <a class="code" href="../../d1/d97/class_o_n___polynomial_curve.html">ON_PolynomialCurve</a>&amp;);</div><div class="line"><a name="l00049"></a><span class="lineno"> 49</span>&#160;</div><div class="line"><a name="l00050"></a><span class="lineno"> 50</span>&#160; <a class="code" href="../../d1/d97/class_o_n___polynomial_curve.html">ON_PolynomialCurve</a>(<span class="keyword">const</span> <a class="code" href="../../d9/d6f/class_o_n___bezier_curve.html">ON_BezierCurve</a>&amp;);</div><div class="line"><a name="l00051"></a><span class="lineno"> 51</span>&#160;</div><div class="line"><a name="l00052"></a><span class="lineno"> 52</span>&#160; <a class="code" href="../../d1/d97/class_o_n___polynomial_curve.html">ON_PolynomialCurve</a>&amp; operator=(<span class="keyword">const</span> <a class="code" href="../../d1/d97/class_o_n___polynomial_curve.html">ON_PolynomialCurve</a>&amp;);</div><div class="line"><a name="l00053"></a><span class="lineno"> 53</span>&#160;</div><div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160; <a class="code" href="../../d1/d97/class_o_n___polynomial_curve.html">ON_PolynomialCurve</a>&amp; operator=(<span class="keyword">const</span> <a class="code" href="../../d9/d6f/class_o_n___bezier_curve.html">ON_BezierCurve</a>&amp;);</div><div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160;</div><div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160; <span class="comment">// Initializes fields and allocates the m_cv array. </span></div><div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160; <span class="comment">// dim - [in] dimension of the curve</span></div><div class="line"><a name="l00060"></a><span class="lineno"> 60</span>&#160; <span class="comment">// bIsRational - [in] true if rational</span></div><div class="line"><a name="l00061"></a><span class="lineno"> 61</span>&#160; <span class="comment">// order - [in] (&gt;=2) order = degree+1</span></div><div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160; <span class="keywordtype">bool</span> Create(</div><div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160; <span class="keywordtype">int</span> dim,</div><div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160; <span class="keywordtype">bool</span> bIsRational,</div><div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160; <span class="keywordtype">int</span> order</div><div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160; );</div><div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160;</div><div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160; <span class="comment">// Deallocates the m_cv array and sets fields to zero.</span></div><div class="line"><a name="l00070"></a><span class="lineno"> 70</span>&#160; <span class="keywordtype">void</span> Destroy();</div><div class="line"><a name="l00071"></a><span class="lineno"> 71</span>&#160;</div><div class="line"><a name="l00072"></a><span class="lineno"> 72</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00073"></a><span class="lineno"> 73</span>&#160; <span class="comment">// Evaluate a polynomial curve.</span></div><div class="line"><a name="l00074"></a><span class="lineno"> 74</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160; <span class="comment">// t - [in] evaluation parameter ( usually in Domain() ).</span></div><div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160; <span class="comment">// der_count - [in] (&gt;=0) number of derivatives to evaluate</span></div><div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160; <span class="comment">// v_stride - [in] (&gt;=Dimension()) stride to use for the v[] array</span></div><div class="line"><a name="l00078"></a><span class="lineno"> 78</span>&#160; <span class="comment">// v - [out] array of length (der_count+1)*v_stride</span></div><div class="line"><a name="l00079"></a><span class="lineno"> 79</span>&#160; <span class="comment">// curve(t) is returned in (v[0],...,v[m_dim-1]),</span></div><div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160; <span class="comment">// curve&#39;(t) is retuned in (v[v_stride],...,v[v_stride+m_dim-1]),</span></div><div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160; <span class="comment">// curve&quot;(t) is retuned in (v[2*v_stride],...,v[2*v_stride+m_dim-1]),</span></div><div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160; <span class="comment">// etc.</span></div><div class="line"><a name="l00083"></a><span class="lineno"> 83</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160; <span class="comment">// false if unable to evaluate.</span></div><div class="line"><a name="l00085"></a><span class="lineno"> 85</span>&#160; <span class="keywordtype">bool</span> Evaluate(</div><div class="line"><a name="l00086"></a><span class="lineno"> 86</span>&#160; <span class="keywordtype">double</span> t,</div><div class="line"><a name="l00087"></a><span class="lineno"> 87</span>&#160; <span class="keywordtype">int</span> der_count,</div><div class="line"><a name="l00088"></a><span class="lineno"> 88</span>&#160; <span class="keywordtype">int</span> v_stride,</div><div class="line"><a name="l00089"></a><span class="lineno"> 89</span>&#160; <span class="keywordtype">double</span>* v</div><div class="line"><a name="l00090"></a><span class="lineno"> 90</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00091"></a><span class="lineno"> 91</span>&#160;</div><div class="line"><a name="l00092"></a><span class="lineno"> 92</span>&#160; <span class="comment">// dimension of polynomial curve (1,2, or 3)</span></div><div class="line"><a name="l00093"></a><span class="lineno"> 93</span>&#160; <span class="keywordtype">int</span> m_dim;</div><div class="line"><a name="l00094"></a><span class="lineno"> 94</span>&#160;</div><div class="line"><a name="l00095"></a><span class="lineno"><a class="line" href="../../d1/d97/class_o_n___polynomial_curve.html#a947ab020795422ff2587cb2a20437efd"> 95</a></span>&#160; <span class="comment">// 1 if polynomial curve is rational, 0 if polynomial curve is not rational</span></div><div class="line"><a name="l00096"></a><span class="lineno"> 96</span>&#160; <span class="keywordtype">int</span> m_is_rat;</div><div class="line"><a name="l00097"></a><span class="lineno"> 97</span>&#160;</div><div class="line"><a name="l00098"></a><span class="lineno"><a class="line" href="../../d1/d97/class_o_n___polynomial_curve.html#a2f1c72a5dc8eb278152b4c86eb51d99b"> 98</a></span>&#160; <span class="comment">// order (=degree+1) of polynomial</span></div><div class="line"><a name="l00099"></a><span class="lineno"> 99</span>&#160; <span class="keywordtype">int</span> m_order;</div><div class="line"><a name="l00100"></a><span class="lineno"> 100</span>&#160;</div><div class="line"><a name="l00101"></a><span class="lineno"><a class="line" href="../../d1/d97/class_o_n___polynomial_curve.html#ae1f027f3d1557fdaef3de03aace15258"> 101</a></span>&#160; <span class="comment">// coefficients ( m_cv.Count() = order of monomial )</span></div><div class="line"><a name="l00102"></a><span class="lineno"> 102</span>&#160; <a class="code" href="../../d2/d9b/class_o_n__4d_point_array.html">ON_4dPointArray</a> m_cv;</div><div class="line"><a name="l00103"></a><span class="lineno"> 103</span>&#160;</div><div class="line"><a name="l00104"></a><span class="lineno"><a class="line" href="../../d1/d97/class_o_n___polynomial_curve.html#a3563da0ea15202867b96a0e2c536e007"> 104</a></span>&#160; <span class="comment">// domain of polynomial</span></div><div class="line"><a name="l00105"></a><span class="lineno"> 105</span>&#160; <a class="code" href="../../dc/dc7/class_o_n___interval.html">ON_Interval</a> m_domain;</div><div class="line"><a name="l00106"></a><span class="lineno"> 106</span>&#160;};</div><div class="line"><a name="l00107"></a><span class="lineno"><a class="line" href="../../d1/d97/class_o_n___polynomial_curve.html#a3d869fd9783e2668cf9d2af9810ccef0"> 107</a></span>&#160;</div><div class="line"><a name="l00108"></a><span class="lineno"> 108</span>&#160;<span class="keyword">class </span>ON_CLASS <a class="code" href="../../df/d4e/class_o_n___polynomial_surface.html">ON_PolynomialSurface</a></div><div class="line"><a name="l00109"></a><span class="lineno"> 109</span>&#160;{</div><div class="line"><a name="l00110"></a><span class="lineno"><a class="line" href="../../df/d4e/class_o_n___polynomial_surface.html"> 110</a></span>&#160;<span class="keyword">public</span>:</div><div class="line"><a name="l00111"></a><span class="lineno"> 111</span>&#160; <a class="code" href="../../df/d4e/class_o_n___polynomial_surface.html">ON_PolynomialSurface</a>();</div><div class="line"><a name="l00112"></a><span class="lineno"> 112</span>&#160; <a class="code" href="../../df/d4e/class_o_n___polynomial_surface.html">ON_PolynomialSurface</a>(</div><div class="line"><a name="l00113"></a><span class="lineno"> 113</span>&#160; <span class="keywordtype">int</span>, <span class="comment">// dim,</span></div><div class="line"><a name="l00114"></a><span class="lineno"> 114</span>&#160; <span class="keywordtype">bool</span>, <span class="comment">// true if rational</span></div><div class="line"><a name="l00115"></a><span class="lineno"> 115</span>&#160; <span class="keywordtype">int</span>, <span class="comment">// &quot;u&quot; order</span></div><div class="line"><a name="l00116"></a><span class="lineno"> 116</span>&#160; <span class="keywordtype">int</span> <span class="comment">// &quot;v&quot; order</span></div><div class="line"><a name="l00117"></a><span class="lineno"> 117</span>&#160; );</div><div class="line"><a name="l00118"></a><span class="lineno"> 118</span>&#160; ~<a class="code" href="../../df/d4e/class_o_n___polynomial_surface.html">ON_PolynomialSurface</a>();</div><div class="line"><a name="l00119"></a><span class="lineno"> 119</span>&#160; <a class="code" href="../../df/d4e/class_o_n___polynomial_surface.html">ON_PolynomialSurface</a>(<span class="keyword">const</span> <a class="code" href="../../df/d4e/class_o_n___polynomial_surface.html">ON_PolynomialSurface</a>&amp;);</div><div class="line"><a name="l00120"></a><span class="lineno"> 120</span>&#160; <a class="code" href="../../df/d4e/class_o_n___polynomial_surface.html">ON_PolynomialSurface</a>(<span class="keyword">const</span> <a class="code" href="../../d7/dc7/class_o_n___bezier_surface.html">ON_BezierSurface</a>&amp;);</div><div class="line"><a name="l00121"></a><span class="lineno"> 121</span>&#160; <a class="code" href="../../df/d4e/class_o_n___polynomial_surface.html">ON_PolynomialSurface</a>&amp; operator=(<span class="keyword">const</span> <a class="code" href="../../df/d4e/class_o_n___polynomial_surface.html">ON_PolynomialSurface</a>&amp;);</div><div class="line"><a name="l00122"></a><span class="lineno"> 122</span>&#160; <a class="code" href="../../df/d4e/class_o_n___polynomial_surface.html">ON_PolynomialSurface</a>&amp; operator=(<span class="keyword">const</span> <a class="code" href="../../d7/dc7/class_o_n___bezier_surface.html">ON_BezierSurface</a>&amp;);</div><div class="line"><a name="l00123"></a><span class="lineno"> 123</span>&#160;</div><div class="line"><a name="l00124"></a><span class="lineno"> 124</span>&#160; <span class="keywordtype">bool</span> Create(</div><div class="line"><a name="l00125"></a><span class="lineno"> 125</span>&#160; <span class="keywordtype">int</span>, <span class="comment">// dim,</span></div><div class="line"><a name="l00126"></a><span class="lineno"> 126</span>&#160; <span class="keywordtype">bool</span>, <span class="comment">// true if rational</span></div><div class="line"><a name="l00127"></a><span class="lineno"> 127</span>&#160; <span class="keywordtype">int</span>, <span class="comment">// &quot;u&quot; order</span></div><div class="line"><a name="l00128"></a><span class="lineno"> 128</span>&#160; <span class="keywordtype">int</span> <span class="comment">// &quot;v&quot; order</span></div><div class="line"><a name="l00129"></a><span class="lineno"> 129</span>&#160; );</div><div class="line"><a name="l00130"></a><span class="lineno"> 130</span>&#160; <span class="keywordtype">void</span> Destroy();</div><div class="line"><a name="l00131"></a><span class="lineno"> 131</span>&#160;</div><div class="line"><a name="l00132"></a><span class="lineno"> 132</span>&#160; <span class="keywordtype">bool</span> Evaluate( <span class="comment">// returns false if unable to evaluate</span></div><div class="line"><a name="l00133"></a><span class="lineno"> 133</span>&#160; <span class="keywordtype">double</span> s, </div><div class="line"><a name="l00134"></a><span class="lineno"> 134</span>&#160; <span class="keywordtype">double</span> t, <span class="comment">// evaluation parameter</span></div><div class="line"><a name="l00135"></a><span class="lineno"> 135</span>&#160; <span class="keywordtype">int</span> der_count, <span class="comment">// number of derivatives (&gt;=0)</span></div><div class="line"><a name="l00136"></a><span class="lineno"> 136</span>&#160; <span class="keywordtype">int</span> v_stride, <span class="comment">// array stride (&gt;=Dimension())</span></div><div class="line"><a name="l00137"></a><span class="lineno"> 137</span>&#160; <span class="keywordtype">double</span>* v <span class="comment">// array of length stride*(ndir+1)*(ndir+2)/2</span></div><div class="line"><a name="l00138"></a><span class="lineno"> 138</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00139"></a><span class="lineno"> 139</span>&#160;</div><div class="line"><a name="l00140"></a><span class="lineno"> 140</span>&#160; <span class="keywordtype">int</span> m_dim; <span class="comment">// 1,2, or 3</span></div><div class="line"><a name="l00141"></a><span class="lineno"> 141</span>&#160; <span class="keywordtype">int</span> m_is_rat; <span class="comment">// 1 if rational, 0 if not rational</span></div><div class="line"><a name="l00142"></a><span class="lineno"><a class="line" href="../../df/d4e/class_o_n___polynomial_surface.html#a7a804ee9bef09d892d9a2f5a714631f9"> 142</a></span>&#160; <span class="keywordtype">int</span> m_order[2];</div><div class="line"><a name="l00143"></a><span class="lineno"><a class="line" href="../../df/d4e/class_o_n___polynomial_surface.html#a122da57ae8429c4dcc9ac52055e1a74a"> 143</a></span>&#160; <a class="code" href="../../d2/d9b/class_o_n__4d_point_array.html">ON_4dPointArray</a> m_cv; <span class="comment">// coefficients ( m_C.Length() = m_order[0]*m_order[1]</span></div><div class="line"><a name="l00144"></a><span class="lineno"><a class="line" href="../../df/d4e/class_o_n___polynomial_surface.html#a914d13511af0b07fd33b2c182fe70b24"> 144</a></span>&#160; <span class="comment">// coefficient of s^m*t^n = m_cv[m_order[1]*m+n]</span></div><div class="line"><a name="l00145"></a><span class="lineno"><a class="line" href="../../df/d4e/class_o_n___polynomial_surface.html#aff4a35c01851b8810bdf0cbc4e9de9a9"> 145</a></span>&#160; <a class="code" href="../../dc/dc7/class_o_n___interval.html">ON_Interval</a> m_domain[2];</div><div class="line"><a name="l00146"></a><span class="lineno"> 146</span>&#160;};</div><div class="line"><a name="l00147"></a><span class="lineno"><a class="line" href="../../df/d4e/class_o_n___polynomial_surface.html#aed322af96188c206717c2ba0a8f15b5e"> 147</a></span>&#160;</div><div class="line"><a name="l00148"></a><span class="lineno"> 148</span>&#160;<span class="keyword">class </span>ON_CLASS <a class="code" href="../../d9/d6f/class_o_n___bezier_curve.html">ON_BezierCurve</a></div><div class="line"><a name="l00149"></a><span class="lineno"> 149</span>&#160;{</div><div class="line"><a name="l00150"></a><span class="lineno"><a class="line" href="../../d9/d6f/class_o_n___bezier_curve.html"> 150</a></span>&#160;<span class="keyword">public</span>:</div><div class="line"><a name="l00151"></a><span class="lineno"> 151</span>&#160;</div><div class="line"><a name="l00152"></a><span class="lineno"> 152</span>&#160; <a class="code" href="../../d9/d6f/class_o_n___bezier_curve.html">ON_BezierCurve</a>();</div><div class="line"><a name="l00153"></a><span class="lineno"> 153</span>&#160;</div><div class="line"><a name="l00154"></a><span class="lineno"> 154</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00155"></a><span class="lineno"> 155</span>&#160; <span class="comment">// Creates a bezier with cv memory allocated.</span></div><div class="line"><a name="l00156"></a><span class="lineno"> 156</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00157"></a><span class="lineno"> 157</span>&#160; <span class="comment">// dim - [in] (&gt;0) dimension of bezier curve</span></div><div class="line"><a name="l00158"></a><span class="lineno"> 158</span>&#160; <span class="comment">// bIsRational - [in] true for a rational bezier</span></div><div class="line"><a name="l00159"></a><span class="lineno"> 159</span>&#160; <span class="comment">// order - [in] (&gt;=2) order (=degree+1) of bezier curve</span></div><div class="line"><a name="l00160"></a><span class="lineno"> 160</span>&#160; <a class="code" href="../../d9/d6f/class_o_n___bezier_curve.html">ON_BezierCurve</a>(</div><div class="line"><a name="l00161"></a><span class="lineno"> 161</span>&#160; <span class="keywordtype">int</span> dim,</div><div class="line"><a name="l00162"></a><span class="lineno"> 162</span>&#160; <span class="keywordtype">bool</span> bIsRational,</div><div class="line"><a name="l00163"></a><span class="lineno"> 163</span>&#160; <span class="keywordtype">int</span> order</div><div class="line"><a name="l00164"></a><span class="lineno"> 164</span>&#160; );</div><div class="line"><a name="l00165"></a><span class="lineno"> 165</span>&#160;</div><div class="line"><a name="l00166"></a><span class="lineno"> 166</span>&#160; ~<a class="code" href="../../d9/d6f/class_o_n___bezier_curve.html">ON_BezierCurve</a>();</div><div class="line"><a name="l00167"></a><span class="lineno"> 167</span>&#160; <a class="code" href="../../d9/d6f/class_o_n___bezier_curve.html">ON_BezierCurve</a>(<span class="keyword">const</span> <a class="code" href="../../d9/d6f/class_o_n___bezier_curve.html">ON_BezierCurve</a>&amp;);</div><div class="line"><a name="l00168"></a><span class="lineno"> 168</span>&#160; <a class="code" href="../../d9/d6f/class_o_n___bezier_curve.html">ON_BezierCurve</a>(<span class="keyword">const</span> <a class="code" href="../../d1/d97/class_o_n___polynomial_curve.html">ON_PolynomialCurve</a>&amp;);</div><div class="line"><a name="l00169"></a><span class="lineno"> 169</span>&#160; <a class="code" href="../../d9/d6f/class_o_n___bezier_curve.html">ON_BezierCurve</a>(<span class="keyword">const</span> <a class="code" href="../../d0/dcd/class_o_n__2d_point_array.html">ON_2dPointArray</a>&amp;); <span class="comment">// sets control points</span></div><div class="line"><a name="l00170"></a><span class="lineno"> 170</span>&#160; <a class="code" href="../../d9/d6f/class_o_n___bezier_curve.html">ON_BezierCurve</a>(<span class="keyword">const</span> <a class="code" href="../../d9/d13/class_o_n__3d_point_array.html">ON_3dPointArray</a>&amp;); <span class="comment">// sets control points</span></div><div class="line"><a name="l00171"></a><span class="lineno"> 171</span>&#160; <a class="code" href="../../d9/d6f/class_o_n___bezier_curve.html">ON_BezierCurve</a>(<span class="keyword">const</span> <a class="code" href="../../d2/d9b/class_o_n__4d_point_array.html">ON_4dPointArray</a>&amp;); <span class="comment">// sets control points</span></div><div class="line"><a name="l00172"></a><span class="lineno"> 172</span>&#160; <a class="code" href="../../d9/d6f/class_o_n___bezier_curve.html">ON_BezierCurve</a>&amp; operator=(<span class="keyword">const</span> <a class="code" href="../../d9/d6f/class_o_n___bezier_curve.html">ON_BezierCurve</a>&amp;);</div><div class="line"><a name="l00173"></a><span class="lineno"> 173</span>&#160; <a class="code" href="../../d9/d6f/class_o_n___bezier_curve.html">ON_BezierCurve</a>&amp; operator=(<span class="keyword">const</span> <a class="code" href="../../d1/d97/class_o_n___polynomial_curve.html">ON_PolynomialCurve</a>&amp;);</div><div class="line"><a name="l00174"></a><span class="lineno"> 174</span>&#160;</div><div class="line"><a name="l00175"></a><span class="lineno"> 175</span>&#160;</div><div class="line"><a name="l00176"></a><span class="lineno"> 176</span>&#160; <a class="code" href="../../d9/d6f/class_o_n___bezier_curve.html">ON_BezierCurve</a>&amp; operator=(<span class="keyword">const</span> <a class="code" href="../../d0/dcd/class_o_n__2d_point_array.html">ON_2dPointArray</a>&amp;); <span class="comment">// sets control points</span></div><div class="line"><a name="l00177"></a><span class="lineno"> 177</span>&#160; <a class="code" href="../../d9/d6f/class_o_n___bezier_curve.html">ON_BezierCurve</a>&amp; operator=(<span class="keyword">const</span> <a class="code" href="../../d9/d13/class_o_n__3d_point_array.html">ON_3dPointArray</a>&amp;); <span class="comment">// sets control points</span></div><div class="line"><a name="l00178"></a><span class="lineno"> 178</span>&#160; <a class="code" href="../../d9/d6f/class_o_n___bezier_curve.html">ON_BezierCurve</a>&amp; operator=(<span class="keyword">const</span> <a class="code" href="../../d2/d9b/class_o_n__4d_point_array.html">ON_4dPointArray</a>&amp;); <span class="comment">// sets control points</span></div><div class="line"><a name="l00179"></a><span class="lineno"> 179</span>&#160;</div><div class="line"><a name="l00180"></a><span class="lineno"> 180</span>&#160; <span class="keywordtype">bool</span> IsValid() <span class="keyword">const</span>;</div><div class="line"><a name="l00181"></a><span class="lineno"> 181</span>&#160;</div><div class="line"><a name="l00182"></a><span class="lineno"> 182</span>&#160; <span class="keywordtype">void</span> Dump( <a class="code" href="../../d2/da3/class_o_n___text_log.html">ON_TextLog</a>&amp; ) <span class="keyword">const</span>; <span class="comment">// for debugging</span></div><div class="line"><a name="l00183"></a><span class="lineno"> 183</span>&#160;</div><div class="line"><a name="l00184"></a><span class="lineno"> 184</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00185"></a><span class="lineno"> 185</span>&#160; <span class="comment">// Dimension of bezier.</span></div><div class="line"><a name="l00186"></a><span class="lineno"> 186</span>&#160; <span class="keywordtype">int</span> Dimension() <span class="keyword">const</span>;</div><div class="line"><a name="l00187"></a><span class="lineno"> 187</span>&#160;</div><div class="line"><a name="l00188"></a><span class="lineno"> 188</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00189"></a><span class="lineno"> 189</span>&#160; <span class="comment">// Creates a bezier with cv memory allocated.</span></div><div class="line"><a name="l00190"></a><span class="lineno"> 190</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00191"></a><span class="lineno"> 191</span>&#160; <span class="comment">// dim - [in] (&gt;0) dimension of bezier curve</span></div><div class="line"><a name="l00192"></a><span class="lineno"> 192</span>&#160; <span class="comment">// bIsRational - [in] true for a rational bezier</span></div><div class="line"><a name="l00193"></a><span class="lineno"> 193</span>&#160; <span class="comment">// order - [in] (&gt;=2) order (=degree+1) of bezier curve</span></div><div class="line"><a name="l00194"></a><span class="lineno"> 194</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00195"></a><span class="lineno"> 195</span>&#160; <span class="comment">// true if successful.</span></div><div class="line"><a name="l00196"></a><span class="lineno"> 196</span>&#160; <span class="keywordtype">bool</span> Create(</div><div class="line"><a name="l00197"></a><span class="lineno"> 197</span>&#160; <span class="keywordtype">int</span> dim,</div><div class="line"><a name="l00198"></a><span class="lineno"> 198</span>&#160; <span class="keywordtype">bool</span> bIsRational,</div><div class="line"><a name="l00199"></a><span class="lineno"> 199</span>&#160; <span class="keywordtype">int</span> order</div><div class="line"><a name="l00200"></a><span class="lineno"> 200</span>&#160; );</div><div class="line"><a name="l00201"></a><span class="lineno"> 201</span>&#160;</div><div class="line"><a name="l00202"></a><span class="lineno"> 202</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00203"></a><span class="lineno"> 203</span>&#160; <span class="comment">// Deallocates m_cv memory.</span></div><div class="line"><a name="l00204"></a><span class="lineno"> 204</span>&#160; <span class="keywordtype">void</span> Destroy();</div><div class="line"><a name="l00205"></a><span class="lineno"> 205</span>&#160;</div><div class="line"><a name="l00206"></a><span class="lineno"> 206</span>&#160; <span class="keywordtype">void</span> EmergencyDestroy(); <span class="comment">// call if memory used by ON_NurbsCurve becomes invalid</span></div><div class="line"><a name="l00207"></a><span class="lineno"> 207</span>&#160;</div><div class="line"><a name="l00208"></a><span class="lineno"> 208</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00209"></a><span class="lineno"> 209</span>&#160; <span class="comment">// Loft a bezier curve through a list of points.</span></div><div class="line"><a name="l00210"></a><span class="lineno"> 210</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00211"></a><span class="lineno"> 211</span>&#160; <span class="comment">// points - [in] an array of 2 or more points to interpolate</span></div><div class="line"><a name="l00212"></a><span class="lineno"> 212</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00213"></a><span class="lineno"> 213</span>&#160; <span class="comment">// true if successful</span></div><div class="line"><a name="l00214"></a><span class="lineno"> 214</span>&#160; <span class="comment">// Remarks:</span></div><div class="line"><a name="l00215"></a><span class="lineno"> 215</span>&#160; <span class="comment">// The result has order = points.Count() and the loft uses the </span></div><div class="line"><a name="l00216"></a><span class="lineno"> 216</span>&#160; <span class="comment">// uniform parameterizaton curve( i/(points.Count()-1) ) = points[i].</span></div><div class="line"><a name="l00217"></a><span class="lineno"> 217</span>&#160; <span class="keywordtype">bool</span> Loft( </div><div class="line"><a name="l00218"></a><span class="lineno"> 218</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d9/d13/class_o_n__3d_point_array.html">ON_3dPointArray</a>&amp; points</div><div class="line"><a name="l00219"></a><span class="lineno"> 219</span>&#160; );</div><div class="line"><a name="l00220"></a><span class="lineno"> 220</span>&#160;</div><div class="line"><a name="l00221"></a><span class="lineno"> 221</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00222"></a><span class="lineno"> 222</span>&#160; <span class="comment">// Loft a bezier curve through a list of points.</span></div><div class="line"><a name="l00223"></a><span class="lineno"> 223</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00224"></a><span class="lineno"> 224</span>&#160; <span class="comment">// pt_dim - [in] dimension of points to interpolate</span></div><div class="line"><a name="l00225"></a><span class="lineno"> 225</span>&#160; <span class="comment">// pt_count - [in] number of points (&gt;=2)</span></div><div class="line"><a name="l00226"></a><span class="lineno"> 226</span>&#160; <span class="comment">// pt_stride - [in] (&gt;=pt_dim) pt[] array stride</span></div><div class="line"><a name="l00227"></a><span class="lineno"> 227</span>&#160; <span class="comment">// pt - [in] array of points</span></div><div class="line"><a name="l00228"></a><span class="lineno"> 228</span>&#160; <span class="comment">// t_stride - [in] (&gt;=1) t[] array stride</span></div><div class="line"><a name="l00229"></a><span class="lineno"> 229</span>&#160; <span class="comment">// t - [in] strictly increasing array of interpolation parameters</span></div><div class="line"><a name="l00230"></a><span class="lineno"> 230</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00231"></a><span class="lineno"> 231</span>&#160; <span class="comment">// true if successful</span></div><div class="line"><a name="l00232"></a><span class="lineno"> 232</span>&#160; <span class="comment">// Remarks:</span></div><div class="line"><a name="l00233"></a><span class="lineno"> 233</span>&#160; <span class="comment">// The result has order = points.Count() and the loft uses the </span></div><div class="line"><a name="l00234"></a><span class="lineno"> 234</span>&#160; <span class="comment">// parameterizaton curve( t[i] ) = points[i].</span></div><div class="line"><a name="l00235"></a><span class="lineno"> 235</span>&#160; <span class="keywordtype">bool</span> Loft(</div><div class="line"><a name="l00236"></a><span class="lineno"> 236</span>&#160; <span class="keywordtype">int</span> pt_dim,</div><div class="line"><a name="l00237"></a><span class="lineno"> 237</span>&#160; <span class="keywordtype">int</span> pt_count,</div><div class="line"><a name="l00238"></a><span class="lineno"> 238</span>&#160; <span class="keywordtype">int</span> pt_stride,</div><div class="line"><a name="l00239"></a><span class="lineno"> 239</span>&#160; <span class="keyword">const</span> <span class="keywordtype">double</span>* pt,</div><div class="line"><a name="l00240"></a><span class="lineno"> 240</span>&#160; <span class="keywordtype">int</span> t_stride,</div><div class="line"><a name="l00241"></a><span class="lineno"> 241</span>&#160; <span class="keyword">const</span> <span class="keywordtype">double</span>* t</div><div class="line"><a name="l00242"></a><span class="lineno"> 242</span>&#160; );</div><div class="line"><a name="l00243"></a><span class="lineno"> 243</span>&#160;</div><div class="line"><a name="l00244"></a><span class="lineno"> 244</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00245"></a><span class="lineno"> 245</span>&#160; <span class="comment">// Gets bounding box.</span></div><div class="line"><a name="l00246"></a><span class="lineno"> 246</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00247"></a><span class="lineno"> 247</span>&#160; <span class="comment">// box_min - [out] minimum corner of axis aligned bounding box</span></div><div class="line"><a name="l00248"></a><span class="lineno"> 248</span>&#160; <span class="comment">// The box_min[] array must have size m_dim.</span></div><div class="line"><a name="l00249"></a><span class="lineno"> 249</span>&#160; <span class="comment">// box_max - [out] maximum corner of axis aligned bounding box</span></div><div class="line"><a name="l00250"></a><span class="lineno"> 250</span>&#160; <span class="comment">// The box_max[] array must have size m_dim.</span></div><div class="line"><a name="l00251"></a><span class="lineno"> 251</span>&#160; <span class="comment">// bGrowBox - [in] if true, input box_min/box_max must be set</span></div><div class="line"><a name="l00252"></a><span class="lineno"> 252</span>&#160; <span class="comment">// to valid bounding box corners and this box is enlarged to</span></div><div class="line"><a name="l00253"></a><span class="lineno"> 253</span>&#160; <span class="comment">// be the union of the input box and the bezier&#39;s bounding</span></div><div class="line"><a name="l00254"></a><span class="lineno"> 254</span>&#160; <span class="comment">// box.</span></div><div class="line"><a name="l00255"></a><span class="lineno"> 255</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00256"></a><span class="lineno"> 256</span>&#160; <span class="comment">// true if successful.</span></div><div class="line"><a name="l00257"></a><span class="lineno"> 257</span>&#160; <span class="keywordtype">bool</span> GetBBox( <span class="comment">// returns true if successful</span></div><div class="line"><a name="l00258"></a><span class="lineno"> 258</span>&#160; <span class="keywordtype">double</span>* box_min,</div><div class="line"><a name="l00259"></a><span class="lineno"> 259</span>&#160; <span class="keywordtype">double</span>* box_max,</div><div class="line"><a name="l00260"></a><span class="lineno"> 260</span>&#160; <span class="keywordtype">bool</span> bGrowBox = <span class="keyword">false</span></div><div class="line"><a name="l00261"></a><span class="lineno"> 261</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00262"></a><span class="lineno"> 262</span>&#160;</div><div class="line"><a name="l00263"></a><span class="lineno"> 263</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00264"></a><span class="lineno"> 264</span>&#160; <span class="comment">// Gets bounding box.</span></div><div class="line"><a name="l00265"></a><span class="lineno"> 265</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00266"></a><span class="lineno"> 266</span>&#160; <span class="comment">// bbox - [out] axis aligned bounding box returned here.</span></div><div class="line"><a name="l00267"></a><span class="lineno"> 267</span>&#160; <span class="comment">// bGrowBox - [in] if true, input bbox must be a valid</span></div><div class="line"><a name="l00268"></a><span class="lineno"> 268</span>&#160; <span class="comment">// bounding box and this box is enlarged to</span></div><div class="line"><a name="l00269"></a><span class="lineno"> 269</span>&#160; <span class="comment">// be the union of the input box and the </span></div><div class="line"><a name="l00270"></a><span class="lineno"> 270</span>&#160; <span class="comment">// bezier&#39;s bounding box.</span></div><div class="line"><a name="l00271"></a><span class="lineno"> 271</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00272"></a><span class="lineno"> 272</span>&#160; <span class="comment">// true if successful.</span></div><div class="line"><a name="l00273"></a><span class="lineno"> 273</span>&#160; <span class="keywordtype">bool</span> GetBoundingBox(</div><div class="line"><a name="l00274"></a><span class="lineno"> 274</span>&#160; <a class="code" href="../../d1/d17/class_o_n___bounding_box.html">ON_BoundingBox</a>&amp; bbox,</div><div class="line"><a name="l00275"></a><span class="lineno"> 275</span>&#160; <span class="keywordtype">int</span> bGrowBox = <span class="keyword">false</span></div><div class="line"><a name="l00276"></a><span class="lineno"> 276</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00277"></a><span class="lineno"> 277</span>&#160;</div><div class="line"><a name="l00278"></a><span class="lineno"> 278</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00279"></a><span class="lineno"> 279</span>&#160; <span class="comment">// Gets bounding box.</span></div><div class="line"><a name="l00280"></a><span class="lineno"> 280</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00281"></a><span class="lineno"> 281</span>&#160; <span class="comment">// Axis aligned bounding box.</span></div><div class="line"><a name="l00282"></a><span class="lineno"> 282</span>&#160; <a class="code" href="../../d1/d17/class_o_n___bounding_box.html">ON_BoundingBox</a> BoundingBox() <span class="keyword">const</span>;</div><div class="line"><a name="l00283"></a><span class="lineno"> 283</span>&#160;</div><div class="line"><a name="l00284"></a><span class="lineno"> 284</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00285"></a><span class="lineno"> 285</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00286"></a><span class="lineno"> 286</span>&#160;<span class="comment"> Get tight bounding box of the bezier.</span></div><div class="line"><a name="l00287"></a><span class="lineno"> 287</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l00288"></a><span class="lineno"> 288</span>&#160;<span class="comment"> tight_bbox - [in/out] tight bounding box</span></div><div class="line"><a name="l00289"></a><span class="lineno"> 289</span>&#160;<span class="comment"> bGrowBox -[in] (default=false) </span></div><div class="line"><a name="l00290"></a><span class="lineno"> 290</span>&#160;<span class="comment"> If true and the input tight_bbox is valid, then returned</span></div><div class="line"><a name="l00291"></a><span class="lineno"> 291</span>&#160;<span class="comment"> tight_bbox is the union of the input tight_bbox and the </span></div><div class="line"><a name="l00292"></a><span class="lineno"> 292</span>&#160;<span class="comment"> tight bounding box of the bezier curve.</span></div><div class="line"><a name="l00293"></a><span class="lineno"> 293</span>&#160;<span class="comment"> xform -[in] (default=nullptr)</span></div><div class="line"><a name="l00294"></a><span class="lineno"> 294</span>&#160;<span class="comment"> If not nullptr, the tight bounding box of the transformed</span></div><div class="line"><a name="l00295"></a><span class="lineno"> 295</span>&#160;<span class="comment"> bezier is calculated. The bezier curve is not modified.</span></div><div class="line"><a name="l00296"></a><span class="lineno"> 296</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00297"></a><span class="lineno"> 297</span>&#160;<span class="comment"> True if the returned tight_bbox is set to a valid </span></div><div class="line"><a name="l00298"></a><span class="lineno"> 298</span>&#160;<span class="comment"> bounding box.</span></div><div class="line"><a name="l00299"></a><span class="lineno"> 299</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00300"></a><span class="lineno"> 300</span>&#160; <span class="keywordtype">bool</span> GetTightBoundingBox( </div><div class="line"><a name="l00301"></a><span class="lineno"> 301</span>&#160; <a class="code" href="../../d1/d17/class_o_n___bounding_box.html">ON_BoundingBox</a>&amp; tight_bbox, </div><div class="line"><a name="l00302"></a><span class="lineno"> 302</span>&#160; <span class="keywordtype">bool</span> bGrowBox = <span class="keyword">false</span>,</div><div class="line"><a name="l00303"></a><span class="lineno"> 303</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>* xform = <span class="keyword">nullptr</span></div><div class="line"><a name="l00304"></a><span class="lineno"> 304</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00305"></a><span class="lineno"> 305</span>&#160;</div><div class="line"><a name="l00306"></a><span class="lineno"> 306</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00307"></a><span class="lineno"> 307</span>&#160; <span class="comment">// Transform the bezier.</span></div><div class="line"><a name="l00308"></a><span class="lineno"> 308</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00309"></a><span class="lineno"> 309</span>&#160; <span class="comment">// xform - [in] transformation to apply to bezier</span></div><div class="line"><a name="l00310"></a><span class="lineno"> 310</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00311"></a><span class="lineno"> 311</span>&#160; <span class="comment">// true if successful. false if bezier is invalid</span></div><div class="line"><a name="l00312"></a><span class="lineno"> 312</span>&#160; <span class="comment">// and cannot be transformed.</span></div><div class="line"><a name="l00313"></a><span class="lineno"> 313</span>&#160; <span class="keywordtype">bool</span> Transform( </div><div class="line"><a name="l00314"></a><span class="lineno"> 314</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>&amp; xform</div><div class="line"><a name="l00315"></a><span class="lineno"> 315</span>&#160; );</div><div class="line"><a name="l00316"></a><span class="lineno"> 316</span>&#160;</div><div class="line"><a name="l00317"></a><span class="lineno"> 317</span>&#160;</div><div class="line"><a name="l00318"></a><span class="lineno"> 318</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00319"></a><span class="lineno"> 319</span>&#160; <span class="comment">// Rotates the bezier curve about the specified axis. A positive</span></div><div class="line"><a name="l00320"></a><span class="lineno"> 320</span>&#160; <span class="comment">// rotation angle results in a counter-clockwise rotation</span></div><div class="line"><a name="l00321"></a><span class="lineno"> 321</span>&#160; <span class="comment">// about the axis (right hand rule).</span></div><div class="line"><a name="l00322"></a><span class="lineno"> 322</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00323"></a><span class="lineno"> 323</span>&#160; <span class="comment">// sin_angle - [in] sine of rotation angle</span></div><div class="line"><a name="l00324"></a><span class="lineno"> 324</span>&#160; <span class="comment">// cos_angle - [in] sine of rotation angle</span></div><div class="line"><a name="l00325"></a><span class="lineno"> 325</span>&#160; <span class="comment">// rotation_axis - [in] direction of the axis of rotation</span></div><div class="line"><a name="l00326"></a><span class="lineno"> 326</span>&#160; <span class="comment">// rotation_center - [in] point on the axis of rotation</span></div><div class="line"><a name="l00327"></a><span class="lineno"> 327</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00328"></a><span class="lineno"> 328</span>&#160; <span class="comment">// true if bezier curve successfully rotated</span></div><div class="line"><a name="l00329"></a><span class="lineno"> 329</span>&#160; <span class="comment">// Remarks:</span></div><div class="line"><a name="l00330"></a><span class="lineno"> 330</span>&#160; <span class="comment">// Uses ON_BezierCurve::Transform() function to calculate the result.</span></div><div class="line"><a name="l00331"></a><span class="lineno"> 331</span>&#160; <span class="keywordtype">bool</span> Rotate(</div><div class="line"><a name="l00332"></a><span class="lineno"> 332</span>&#160; <span class="keywordtype">double</span> sin_angle,</div><div class="line"><a name="l00333"></a><span class="lineno"> 333</span>&#160; <span class="keywordtype">double</span> cos_angle,</div><div class="line"><a name="l00334"></a><span class="lineno"> 334</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp; rotation_axis,</div><div class="line"><a name="l00335"></a><span class="lineno"> 335</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&amp; rotation_center</div><div class="line"><a name="l00336"></a><span class="lineno"> 336</span>&#160; );</div><div class="line"><a name="l00337"></a><span class="lineno"> 337</span>&#160;</div><div class="line"><a name="l00338"></a><span class="lineno"> 338</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00339"></a><span class="lineno"> 339</span>&#160; <span class="comment">// Rotates the bezier curve about the specified axis. A positive</span></div><div class="line"><a name="l00340"></a><span class="lineno"> 340</span>&#160; <span class="comment">// rotation angle results in a counter-clockwise rotation</span></div><div class="line"><a name="l00341"></a><span class="lineno"> 341</span>&#160; <span class="comment">// about the axis (right hand rule).</span></div><div class="line"><a name="l00342"></a><span class="lineno"> 342</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00343"></a><span class="lineno"> 343</span>&#160; <span class="comment">// rotation_angle - [in] angle of rotation in radians</span></div><div class="line"><a name="l00344"></a><span class="lineno"> 344</span>&#160; <span class="comment">// rotation_axis - [in] direction of the axis of rotation</span></div><div class="line"><a name="l00345"></a><span class="lineno"> 345</span>&#160; <span class="comment">// rotation_center - [in] point on the axis of rotation</span></div><div class="line"><a name="l00346"></a><span class="lineno"> 346</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00347"></a><span class="lineno"> 347</span>&#160; <span class="comment">// true if bezier curve successfully rotated</span></div><div class="line"><a name="l00348"></a><span class="lineno"> 348</span>&#160; <span class="comment">// Remarks:</span></div><div class="line"><a name="l00349"></a><span class="lineno"> 349</span>&#160; <span class="comment">// Uses ON_BezierCurve::Transform() function to calculate the result.</span></div><div class="line"><a name="l00350"></a><span class="lineno"> 350</span>&#160; <span class="keywordtype">bool</span> Rotate(</div><div class="line"><a name="l00351"></a><span class="lineno"> 351</span>&#160; <span class="keywordtype">double</span> rotation_angle,</div><div class="line"><a name="l00352"></a><span class="lineno"> 352</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp; rotation_axis,</div><div class="line"><a name="l00353"></a><span class="lineno"> 353</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&amp; rotation_center</div><div class="line"><a name="l00354"></a><span class="lineno"> 354</span>&#160; );</div><div class="line"><a name="l00355"></a><span class="lineno"> 355</span>&#160;</div><div class="line"><a name="l00356"></a><span class="lineno"> 356</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00357"></a><span class="lineno"> 357</span>&#160; <span class="comment">// Translates the bezier curve along the specified vector.</span></div><div class="line"><a name="l00358"></a><span class="lineno"> 358</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00359"></a><span class="lineno"> 359</span>&#160; <span class="comment">// translation_vector - [in] translation vector</span></div><div class="line"><a name="l00360"></a><span class="lineno"> 360</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00361"></a><span class="lineno"> 361</span>&#160; <span class="comment">// true if bezier curve successfully translated</span></div><div class="line"><a name="l00362"></a><span class="lineno"> 362</span>&#160; <span class="comment">// Remarks:</span></div><div class="line"><a name="l00363"></a><span class="lineno"> 363</span>&#160; <span class="comment">// Uses ON_BezierCurve::Transform() function to calculate the result.</span></div><div class="line"><a name="l00364"></a><span class="lineno"> 364</span>&#160; <span class="keywordtype">bool</span> Translate( </div><div class="line"><a name="l00365"></a><span class="lineno"> 365</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp; translation_vector</div><div class="line"><a name="l00366"></a><span class="lineno"> 366</span>&#160; );</div><div class="line"><a name="l00367"></a><span class="lineno"> 367</span>&#160;</div><div class="line"><a name="l00368"></a><span class="lineno"> 368</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00369"></a><span class="lineno"> 369</span>&#160; <span class="comment">// Scales the bezier curve by the specified facotor. The scale is</span></div><div class="line"><a name="l00370"></a><span class="lineno"> 370</span>&#160; <span class="comment">// centered at the origin.</span></div><div class="line"><a name="l00371"></a><span class="lineno"> 371</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00372"></a><span class="lineno"> 372</span>&#160; <span class="comment">// scale_factor - [in] scale factor</span></div><div class="line"><a name="l00373"></a><span class="lineno"> 373</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00374"></a><span class="lineno"> 374</span>&#160; <span class="comment">// true if bezier curve successfully scaled</span></div><div class="line"><a name="l00375"></a><span class="lineno"> 375</span>&#160; <span class="comment">// Remarks:</span></div><div class="line"><a name="l00376"></a><span class="lineno"> 376</span>&#160; <span class="comment">// Uses ON_BezierCurve::Transform() function to calculate the result.</span></div><div class="line"><a name="l00377"></a><span class="lineno"> 377</span>&#160; <span class="keywordtype">bool</span> Scale( </div><div class="line"><a name="l00378"></a><span class="lineno"> 378</span>&#160; <span class="keywordtype">double</span> scale_factor</div><div class="line"><a name="l00379"></a><span class="lineno"> 379</span>&#160; );</div><div class="line"><a name="l00380"></a><span class="lineno"> 380</span>&#160;</div><div class="line"><a name="l00381"></a><span class="lineno"> 381</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00382"></a><span class="lineno"> 382</span>&#160; <span class="comment">// Domain of bezier (always [0,1]).</span></div><div class="line"><a name="l00383"></a><span class="lineno"> 383</span>&#160; <a class="code" href="../../dc/dc7/class_o_n___interval.html">ON_Interval</a> Domain() <span class="keyword">const</span>;</div><div class="line"><a name="l00384"></a><span class="lineno"> 384</span>&#160;</div><div class="line"><a name="l00385"></a><span class="lineno"> 385</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00386"></a><span class="lineno"> 386</span>&#160; <span class="comment">// Reverses bezier by reversing the order</span></div><div class="line"><a name="l00387"></a><span class="lineno"> 387</span>&#160; <span class="comment">// of the control points.</span></div><div class="line"><a name="l00388"></a><span class="lineno"> 388</span>&#160; <span class="keywordtype">bool</span> Reverse();</div><div class="line"><a name="l00389"></a><span class="lineno"> 389</span>&#160;</div><div class="line"><a name="l00390"></a><span class="lineno"> 390</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00391"></a><span class="lineno"> 391</span>&#160; <span class="comment">// Evaluate point at a parameter.</span></div><div class="line"><a name="l00392"></a><span class="lineno"> 392</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00393"></a><span class="lineno"> 393</span>&#160; <span class="comment">// t - [in] evaluation parameter</span></div><div class="line"><a name="l00394"></a><span class="lineno"> 394</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00395"></a><span class="lineno"> 395</span>&#160; <span class="comment">// Point (location of curve at the parameter t).</span></div><div class="line"><a name="l00396"></a><span class="lineno"> 396</span>&#160; <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> PointAt( </div><div class="line"><a name="l00397"></a><span class="lineno"> 397</span>&#160; <span class="keywordtype">double</span> t </div><div class="line"><a name="l00398"></a><span class="lineno"> 398</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00399"></a><span class="lineno"> 399</span>&#160;</div><div class="line"><a name="l00400"></a><span class="lineno"> 400</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00401"></a><span class="lineno"> 401</span>&#160; <span class="comment">// Evaluate first derivative at a parameter.</span></div><div class="line"><a name="l00402"></a><span class="lineno"> 402</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00403"></a><span class="lineno"> 403</span>&#160; <span class="comment">// t - [in] evaluation parameter</span></div><div class="line"><a name="l00404"></a><span class="lineno"> 404</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00405"></a><span class="lineno"> 405</span>&#160; <span class="comment">// First derivative of the curve at the parameter t.</span></div><div class="line"><a name="l00406"></a><span class="lineno"> 406</span>&#160; <span class="comment">// Remarks:</span></div><div class="line"><a name="l00407"></a><span class="lineno"> 407</span>&#160; <span class="comment">// No error handling.</span></div><div class="line"><a name="l00408"></a><span class="lineno"> 408</span>&#160; <span class="comment">// See Also:</span></div><div class="line"><a name="l00409"></a><span class="lineno"> 409</span>&#160; <span class="comment">// ON_Curve::Ev1Der</span></div><div class="line"><a name="l00410"></a><span class="lineno"> 410</span>&#160; <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> DerivativeAt(</div><div class="line"><a name="l00411"></a><span class="lineno"> 411</span>&#160; <span class="keywordtype">double</span> t </div><div class="line"><a name="l00412"></a><span class="lineno"> 412</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00413"></a><span class="lineno"> 413</span>&#160;</div><div class="line"><a name="l00414"></a><span class="lineno"> 414</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00415"></a><span class="lineno"> 415</span>&#160; <span class="comment">// Evaluate unit tangent vector at a parameter.</span></div><div class="line"><a name="l00416"></a><span class="lineno"> 416</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00417"></a><span class="lineno"> 417</span>&#160; <span class="comment">// t - [in] evaluation parameter</span></div><div class="line"><a name="l00418"></a><span class="lineno"> 418</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00419"></a><span class="lineno"> 419</span>&#160; <span class="comment">// Unit tangent vector of the curve at the parameter t.</span></div><div class="line"><a name="l00420"></a><span class="lineno"> 420</span>&#160; <span class="comment">// Remarks:</span></div><div class="line"><a name="l00421"></a><span class="lineno"> 421</span>&#160; <span class="comment">// No error handling.</span></div><div class="line"><a name="l00422"></a><span class="lineno"> 422</span>&#160; <span class="comment">// See Also:</span></div><div class="line"><a name="l00423"></a><span class="lineno"> 423</span>&#160; <span class="comment">// ON_Curve::EvTangent</span></div><div class="line"><a name="l00424"></a><span class="lineno"> 424</span>&#160; <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> TangentAt(</div><div class="line"><a name="l00425"></a><span class="lineno"> 425</span>&#160; <span class="keywordtype">double</span> t </div><div class="line"><a name="l00426"></a><span class="lineno"> 426</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00427"></a><span class="lineno"> 427</span>&#160;</div><div class="line"><a name="l00428"></a><span class="lineno"> 428</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00429"></a><span class="lineno"> 429</span>&#160; <span class="comment">// Evaluate the curvature vector at a parameter.</span></div><div class="line"><a name="l00430"></a><span class="lineno"> 430</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00431"></a><span class="lineno"> 431</span>&#160; <span class="comment">// t - [in] evaluation parameter</span></div><div class="line"><a name="l00432"></a><span class="lineno"> 432</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00433"></a><span class="lineno"> 433</span>&#160; <span class="comment">// curvature vector of the curve at the parameter t.</span></div><div class="line"><a name="l00434"></a><span class="lineno"> 434</span>&#160; <span class="comment">// Remarks:</span></div><div class="line"><a name="l00435"></a><span class="lineno"> 435</span>&#160; <span class="comment">// No error handling.</span></div><div class="line"><a name="l00436"></a><span class="lineno"> 436</span>&#160; <span class="comment">// See Also:</span></div><div class="line"><a name="l00437"></a><span class="lineno"> 437</span>&#160; <span class="comment">// ON_Curve::EvCurvature</span></div><div class="line"><a name="l00438"></a><span class="lineno"> 438</span>&#160; <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> CurvatureAt(</div><div class="line"><a name="l00439"></a><span class="lineno"> 439</span>&#160; <span class="keywordtype">double</span> t</div><div class="line"><a name="l00440"></a><span class="lineno"> 440</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00441"></a><span class="lineno"> 441</span>&#160;</div><div class="line"><a name="l00442"></a><span class="lineno"> 442</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00443"></a><span class="lineno"> 443</span>&#160; <span class="comment">// Evaluate point at a parameter with error checking.</span></div><div class="line"><a name="l00444"></a><span class="lineno"> 444</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00445"></a><span class="lineno"> 445</span>&#160; <span class="comment">// t - [in] evaluation parameter</span></div><div class="line"><a name="l00446"></a><span class="lineno"> 446</span>&#160; <span class="comment">// point - [out] value of curve at t</span></div><div class="line"><a name="l00447"></a><span class="lineno"> 447</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00448"></a><span class="lineno"> 448</span>&#160; <span class="comment">// false if unable to evaluate.</span></div><div class="line"><a name="l00449"></a><span class="lineno"> 449</span>&#160; <span class="keywordtype">bool</span> EvPoint(</div><div class="line"><a name="l00450"></a><span class="lineno"> 450</span>&#160; <span class="keywordtype">double</span> t,</div><div class="line"><a name="l00451"></a><span class="lineno"> 451</span>&#160; <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&amp; point</div><div class="line"><a name="l00452"></a><span class="lineno"> 452</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00453"></a><span class="lineno"> 453</span>&#160;</div><div class="line"><a name="l00454"></a><span class="lineno"> 454</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00455"></a><span class="lineno"> 455</span>&#160; <span class="comment">// Evaluate first derivative at a parameter with error checking.</span></div><div class="line"><a name="l00456"></a><span class="lineno"> 456</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00457"></a><span class="lineno"> 457</span>&#160; <span class="comment">// t - [in] evaluation parameter</span></div><div class="line"><a name="l00458"></a><span class="lineno"> 458</span>&#160; <span class="comment">// point - [out] value of curve at t</span></div><div class="line"><a name="l00459"></a><span class="lineno"> 459</span>&#160; <span class="comment">// first_derivative - [out] value of first derivative at t</span></div><div class="line"><a name="l00460"></a><span class="lineno"> 460</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00461"></a><span class="lineno"> 461</span>&#160; <span class="comment">// false if unable to evaluate.</span></div><div class="line"><a name="l00462"></a><span class="lineno"> 462</span>&#160; <span class="keywordtype">bool</span> Ev1Der(</div><div class="line"><a name="l00463"></a><span class="lineno"> 463</span>&#160; <span class="keywordtype">double</span> t,</div><div class="line"><a name="l00464"></a><span class="lineno"> 464</span>&#160; <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&amp; point,</div><div class="line"><a name="l00465"></a><span class="lineno"> 465</span>&#160; <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp; first_derivative</div><div class="line"><a name="l00466"></a><span class="lineno"> 466</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00467"></a><span class="lineno"> 467</span>&#160;</div><div class="line"><a name="l00468"></a><span class="lineno"> 468</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00469"></a><span class="lineno"> 469</span>&#160; <span class="comment">// Evaluate second derivative at a parameter with error checking.</span></div><div class="line"><a name="l00470"></a><span class="lineno"> 470</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00471"></a><span class="lineno"> 471</span>&#160; <span class="comment">// t - [in] evaluation parameter</span></div><div class="line"><a name="l00472"></a><span class="lineno"> 472</span>&#160; <span class="comment">// point - [out] value of curve at t</span></div><div class="line"><a name="l00473"></a><span class="lineno"> 473</span>&#160; <span class="comment">// first_derivative - [out] value of first derivative at t</span></div><div class="line"><a name="l00474"></a><span class="lineno"> 474</span>&#160; <span class="comment">// second_derivative - [out] value of second derivative at t</span></div><div class="line"><a name="l00475"></a><span class="lineno"> 475</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00476"></a><span class="lineno"> 476</span>&#160; <span class="comment">// false if unable to evaluate.</span></div><div class="line"><a name="l00477"></a><span class="lineno"> 477</span>&#160; <span class="keywordtype">bool</span> Ev2Der(</div><div class="line"><a name="l00478"></a><span class="lineno"> 478</span>&#160; <span class="keywordtype">double</span> t,</div><div class="line"><a name="l00479"></a><span class="lineno"> 479</span>&#160; <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&amp; point,</div><div class="line"><a name="l00480"></a><span class="lineno"> 480</span>&#160; <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp; first_derivative,</div><div class="line"><a name="l00481"></a><span class="lineno"> 481</span>&#160; <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp; second_derivative</div><div class="line"><a name="l00482"></a><span class="lineno"> 482</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00483"></a><span class="lineno"> 483</span>&#160;</div><div class="line"><a name="l00484"></a><span class="lineno"> 484</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00485"></a><span class="lineno"> 485</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00486"></a><span class="lineno"> 486</span>&#160;<span class="comment"> Evaluate unit tangent at a parameter with error checking.</span></div><div class="line"><a name="l00487"></a><span class="lineno"> 487</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l00488"></a><span class="lineno"> 488</span>&#160;<span class="comment"> t - [in] evaluation parameter</span></div><div class="line"><a name="l00489"></a><span class="lineno"> 489</span>&#160;<span class="comment"> point - [out] value of curve at t</span></div><div class="line"><a name="l00490"></a><span class="lineno"> 490</span>&#160;<span class="comment"> tangent - [out] value of unit tangent</span></div><div class="line"><a name="l00491"></a><span class="lineno"> 491</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00492"></a><span class="lineno"> 492</span>&#160;<span class="comment"> false if unable to evaluate.</span></div><div class="line"><a name="l00493"></a><span class="lineno"> 493</span>&#160;<span class="comment"> See Also:</span></div><div class="line"><a name="l00494"></a><span class="lineno"> 494</span>&#160;<span class="comment"> ON_Curve::TangentAt</span></div><div class="line"><a name="l00495"></a><span class="lineno"> 495</span>&#160;<span class="comment"> ON_Curve::Ev1Der</span></div><div class="line"><a name="l00496"></a><span class="lineno"> 496</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00497"></a><span class="lineno"> 497</span>&#160; <span class="keywordtype">bool</span> EvTangent(</div><div class="line"><a name="l00498"></a><span class="lineno"> 498</span>&#160; <span class="keywordtype">double</span> t,</div><div class="line"><a name="l00499"></a><span class="lineno"> 499</span>&#160; <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&amp; point,</div><div class="line"><a name="l00500"></a><span class="lineno"> 500</span>&#160; <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp; tangent</div><div class="line"><a name="l00501"></a><span class="lineno"> 501</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00502"></a><span class="lineno"> 502</span>&#160;</div><div class="line"><a name="l00503"></a><span class="lineno"> 503</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00504"></a><span class="lineno"> 504</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00505"></a><span class="lineno"> 505</span>&#160;<span class="comment"> Evaluate unit tangent and curvature at a parameter with error checking.</span></div><div class="line"><a name="l00506"></a><span class="lineno"> 506</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l00507"></a><span class="lineno"> 507</span>&#160;<span class="comment"> t - [in] evaluation parameter</span></div><div class="line"><a name="l00508"></a><span class="lineno"> 508</span>&#160;<span class="comment"> point - [out] value of curve at t</span></div><div class="line"><a name="l00509"></a><span class="lineno"> 509</span>&#160;<span class="comment"> tangent - [out] value of unit tangent</span></div><div class="line"><a name="l00510"></a><span class="lineno"> 510</span>&#160;<span class="comment"> kappa - [out] value of curvature vector</span></div><div class="line"><a name="l00511"></a><span class="lineno"> 511</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00512"></a><span class="lineno"> 512</span>&#160;<span class="comment"> false if unable to evaluate.</span></div><div class="line"><a name="l00513"></a><span class="lineno"> 513</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00514"></a><span class="lineno"> 514</span>&#160; <span class="keywordtype">bool</span> EvCurvature(</div><div class="line"><a name="l00515"></a><span class="lineno"> 515</span>&#160; <span class="keywordtype">double</span> t,</div><div class="line"><a name="l00516"></a><span class="lineno"> 516</span>&#160; <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&amp; point,</div><div class="line"><a name="l00517"></a><span class="lineno"> 517</span>&#160; <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp; tangent,</div><div class="line"><a name="l00518"></a><span class="lineno"> 518</span>&#160; <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp; kappa</div><div class="line"><a name="l00519"></a><span class="lineno"> 519</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00520"></a><span class="lineno"> 520</span>&#160;</div><div class="line"><a name="l00521"></a><span class="lineno"> 521</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00522"></a><span class="lineno"> 522</span>&#160; <span class="comment">// Evaluate a bezier.</span></div><div class="line"><a name="l00523"></a><span class="lineno"> 523</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00524"></a><span class="lineno"> 524</span>&#160; <span class="comment">// t - [in] evaluation parameter (usually 0 &lt;= t &lt;= 1)</span></div><div class="line"><a name="l00525"></a><span class="lineno"> 525</span>&#160; <span class="comment">// der_count - [in] (&gt;=0) number of derivatives to evaluate</span></div><div class="line"><a name="l00526"></a><span class="lineno"> 526</span>&#160; <span class="comment">// v_stride - [in] (&gt;=m_dim) stride to use for the v[] array</span></div><div class="line"><a name="l00527"></a><span class="lineno"> 527</span>&#160; <span class="comment">// v - [out] array of length (der_count+1)*v_stride</span></div><div class="line"><a name="l00528"></a><span class="lineno"> 528</span>&#160; <span class="comment">// bez(t) is returned in (v[0],...,v[m_dim-1]),</span></div><div class="line"><a name="l00529"></a><span class="lineno"> 529</span>&#160; <span class="comment">// bez&#39;(t) is retuned in (v[v_stride],...,v[v_stride+m_dim-1]),</span></div><div class="line"><a name="l00530"></a><span class="lineno"> 530</span>&#160; <span class="comment">// bez&quot;(t) is retuned in (v[2*v_stride],...,v[2*v_stride+m_dim-1]),</span></div><div class="line"><a name="l00531"></a><span class="lineno"> 531</span>&#160; <span class="comment">// etc.</span></div><div class="line"><a name="l00532"></a><span class="lineno"> 532</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00533"></a><span class="lineno"> 533</span>&#160; <span class="comment">// true if successful</span></div><div class="line"><a name="l00534"></a><span class="lineno"> 534</span>&#160; <span class="keywordtype">bool</span> Evaluate(</div><div class="line"><a name="l00535"></a><span class="lineno"> 535</span>&#160; <span class="keywordtype">double</span> t,</div><div class="line"><a name="l00536"></a><span class="lineno"> 536</span>&#160; <span class="keywordtype">int</span> der_count,</div><div class="line"><a name="l00537"></a><span class="lineno"> 537</span>&#160; <span class="keywordtype">int</span> v_stride,</div><div class="line"><a name="l00538"></a><span class="lineno"> 538</span>&#160; <span class="keywordtype">double</span>* v</div><div class="line"><a name="l00539"></a><span class="lineno"> 539</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00540"></a><span class="lineno"> 540</span>&#160;</div><div class="line"><a name="l00541"></a><span class="lineno"> 541</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00542"></a><span class="lineno"> 542</span>&#160; <span class="comment">// Get ON_NurbsCurve form of a bezier.</span></div><div class="line"><a name="l00543"></a><span class="lineno"> 543</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00544"></a><span class="lineno"> 544</span>&#160; <span class="comment">// nurbs_curve - [out] NURBS curve form of a bezier.</span></div><div class="line"><a name="l00545"></a><span class="lineno"> 545</span>&#160; <span class="comment">// The domain is [0,1].</span></div><div class="line"><a name="l00546"></a><span class="lineno"> 546</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00547"></a><span class="lineno"> 547</span>&#160; <span class="comment">// 0 = failure</span></div><div class="line"><a name="l00548"></a><span class="lineno"> 548</span>&#160; <span class="comment">// 1 = success</span></div><div class="line"><a name="l00549"></a><span class="lineno"> 549</span>&#160; <span class="keywordtype">int</span> GetNurbForm( </div><div class="line"><a name="l00550"></a><span class="lineno"> 550</span>&#160; <a class="code" href="../../d3/d6a/class_o_n___nurbs_curve.html">ON_NurbsCurve</a>&amp; nurbs_curve</div><div class="line"><a name="l00551"></a><span class="lineno"> 551</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00552"></a><span class="lineno"> 552</span>&#160;</div><div class="line"><a name="l00553"></a><span class="lineno"> 553</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00554"></a><span class="lineno"> 554</span>&#160; <span class="comment">// true if bezier is rational.</span></div><div class="line"><a name="l00555"></a><span class="lineno"> 555</span>&#160; <span class="keywordtype">bool</span> IsRational() <span class="keyword">const</span>;</div><div class="line"><a name="l00556"></a><span class="lineno"> 556</span>&#160; </div><div class="line"><a name="l00557"></a><span class="lineno"> 557</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00558"></a><span class="lineno"> 558</span>&#160; <span class="comment">// Number of doubles per control vertex.</span></div><div class="line"><a name="l00559"></a><span class="lineno"> 559</span>&#160; <span class="comment">// (= IsRational() ? Dim()+1 : Dim())</span></div><div class="line"><a name="l00560"></a><span class="lineno"> 560</span>&#160; <span class="keywordtype">int</span> CVSize() <span class="keyword">const</span>;</div><div class="line"><a name="l00561"></a><span class="lineno"> 561</span>&#160;</div><div class="line"><a name="l00562"></a><span class="lineno"> 562</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00563"></a><span class="lineno"> 563</span>&#160; <span class="comment">// Number of control vertices in the bezier.</span></div><div class="line"><a name="l00564"></a><span class="lineno"> 564</span>&#160; <span class="comment">// This is always the same as the order of the bezier.</span></div><div class="line"><a name="l00565"></a><span class="lineno"> 565</span>&#160; <span class="keywordtype">int</span> CVCount() <span class="keyword">const</span>;</div><div class="line"><a name="l00566"></a><span class="lineno"> 566</span>&#160; </div><div class="line"><a name="l00567"></a><span class="lineno"> 567</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00568"></a><span class="lineno"> 568</span>&#160; <span class="comment">// Order of the bezier. (order=degree+1)</span></div><div class="line"><a name="l00569"></a><span class="lineno"> 569</span>&#160; <span class="keywordtype">int</span> Order() <span class="keyword">const</span>; <span class="comment">// order = degree + 1</span></div><div class="line"><a name="l00570"></a><span class="lineno"> 570</span>&#160; </div><div class="line"><a name="l00571"></a><span class="lineno"> 571</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00572"></a><span class="lineno"> 572</span>&#160; <span class="comment">// Degree of the bezier. (degree=order-1)</span></div><div class="line"><a name="l00573"></a><span class="lineno"> 573</span>&#160; <span class="keywordtype">int</span> Degree() <span class="keyword">const</span>;</div><div class="line"><a name="l00574"></a><span class="lineno"> 574</span>&#160;</div><div class="line"><a name="l00575"></a><span class="lineno"> 575</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00576"></a><span class="lineno"> 576</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00577"></a><span class="lineno"> 577</span>&#160;<span class="comment"> Expert user function to get a pointer to control vertex</span></div><div class="line"><a name="l00578"></a><span class="lineno"> 578</span>&#160;<span class="comment"> memory. If you are not an expert user, please use</span></div><div class="line"><a name="l00579"></a><span class="lineno"> 579</span>&#160;<span class="comment"> ON_BezierCurve::GetCV( ON_3dPoint&amp; ) or </span></div><div class="line"><a name="l00580"></a><span class="lineno"> 580</span>&#160;<span class="comment"> ON_BezierCurve::GetCV( ON_4dPoint&amp; ).</span></div><div class="line"><a name="l00581"></a><span class="lineno"> 581</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l00582"></a><span class="lineno"> 582</span>&#160;<span class="comment"> cv_index - [in] (0 &lt;= cv_index &lt; m_order)</span></div><div class="line"><a name="l00583"></a><span class="lineno"> 583</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00584"></a><span class="lineno"> 584</span>&#160;<span class="comment"> Pointer to control vertex.</span></div><div class="line"><a name="l00585"></a><span class="lineno"> 585</span>&#160;<span class="comment"> Remarks:</span></div><div class="line"><a name="l00586"></a><span class="lineno"> 586</span>&#160;<span class="comment"> If the Bezier curve is rational, the format of the </span></div><div class="line"><a name="l00587"></a><span class="lineno"> 587</span>&#160;<span class="comment"> returned array is a homogeneos rational point with</span></div><div class="line"><a name="l00588"></a><span class="lineno"> 588</span>&#160;<span class="comment"> length m_dim+1. If the Bezier curve is not rational, </span></div><div class="line"><a name="l00589"></a><span class="lineno"> 589</span>&#160;<span class="comment"> the format of the returned array is a nonrational </span></div><div class="line"><a name="l00590"></a><span class="lineno"> 590</span>&#160;<span class="comment"> euclidean point with length m_dim.</span></div><div class="line"><a name="l00591"></a><span class="lineno"> 591</span>&#160;<span class="comment"> See Also</span></div><div class="line"><a name="l00592"></a><span class="lineno"> 592</span>&#160;<span class="comment"> ON_BezierCurve::CVStyle</span></div><div class="line"><a name="l00593"></a><span class="lineno"> 593</span>&#160;<span class="comment"> ON_BezierCurve::GetCV</span></div><div class="line"><a name="l00594"></a><span class="lineno"> 594</span>&#160;<span class="comment"> ON_BezierCurve::Weight</span></div><div class="line"><a name="l00595"></a><span class="lineno"> 595</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00596"></a><span class="lineno"> 596</span>&#160; <span class="keywordtype">double</span>* CV(</div><div class="line"><a name="l00597"></a><span class="lineno"> 597</span>&#160; <span class="keywordtype">int</span> cv_index</div><div class="line"><a name="l00598"></a><span class="lineno"> 598</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00599"></a><span class="lineno"> 599</span>&#160;</div><div class="line"><a name="l00600"></a><span class="lineno"> 600</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00601"></a><span class="lineno"> 601</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l00602"></a><span class="lineno"> 602</span>&#160;<span class="comment"> cv_index - [in]</span></div><div class="line"><a name="l00603"></a><span class="lineno"> 603</span>&#160;<span class="comment"> zero based control point index</span></div><div class="line"><a name="l00604"></a><span class="lineno"> 604</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00605"></a><span class="lineno"> 605</span>&#160;<span class="comment"> Control point as an ON_4dPoint.</span></div><div class="line"><a name="l00606"></a><span class="lineno"> 606</span>&#160;<span class="comment"> Remarks:</span></div><div class="line"><a name="l00607"></a><span class="lineno"> 607</span>&#160;<span class="comment"> If cv_index or the bezier is not valid, then ON_4dPoint::Nan is returned.</span></div><div class="line"><a name="l00608"></a><span class="lineno"> 608</span>&#160;<span class="comment"> If dim &lt; 3, unused coordinates are zero.</span></div><div class="line"><a name="l00609"></a><span class="lineno"> 609</span>&#160;<span class="comment"> If dim &gt;= 4, the first three coordinates are returned.</span></div><div class="line"><a name="l00610"></a><span class="lineno"> 610</span>&#160;<span class="comment"> If is_rat is false, the weight is 1.</span></div><div class="line"><a name="l00611"></a><span class="lineno"> 611</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00612"></a><span class="lineno"> 612</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d9/db1/class_o_n__4d_point.html">ON_4dPoint</a> ControlPoint(</div><div class="line"><a name="l00613"></a><span class="lineno"> 613</span>&#160; <span class="keywordtype">int</span> cv_index</div><div class="line"><a name="l00614"></a><span class="lineno"> 614</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00615"></a><span class="lineno"> 615</span>&#160;</div><div class="line"><a name="l00616"></a><span class="lineno"> 616</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00617"></a><span class="lineno"> 617</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00618"></a><span class="lineno"> 618</span>&#160;<span class="comment"> Returns the style of control vertices in the m_cv array.</span></div><div class="line"><a name="l00619"></a><span class="lineno"> 619</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00620"></a><span class="lineno"> 620</span>&#160;<span class="comment"> @untitled table</span></div><div class="line"><a name="l00621"></a><span class="lineno"> 621</span>&#160;<span class="comment"> ON::not_rational m_is_rat is false</span></div><div class="line"><a name="l00622"></a><span class="lineno"> 622</span>&#160;<span class="comment"> ON::homogeneous_rational m_is_rat is true</span></div><div class="line"><a name="l00623"></a><span class="lineno"> 623</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00624"></a><span class="lineno"> 624</span>&#160; ON::point_style CVStyle() <span class="keyword">const</span>;</div><div class="line"><a name="l00625"></a><span class="lineno"> 625</span>&#160;</div><div class="line"><a name="l00626"></a><span class="lineno"> 626</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00627"></a><span class="lineno"> 627</span>&#160; <span class="comment">// cv_index - [in] control vertex index (0&lt;=i&lt;m_order)</span></div><div class="line"><a name="l00628"></a><span class="lineno"> 628</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00629"></a><span class="lineno"> 629</span>&#160; <span class="comment">// Weight of the i-th control vertex.</span></div><div class="line"><a name="l00630"></a><span class="lineno"> 630</span>&#160; <span class="keywordtype">double</span> Weight(</div><div class="line"><a name="l00631"></a><span class="lineno"> 631</span>&#160; <span class="keywordtype">int</span> cv_index</div><div class="line"><a name="l00632"></a><span class="lineno"> 632</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00633"></a><span class="lineno"> 633</span>&#160;</div><div class="line"><a name="l00634"></a><span class="lineno"> 634</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00635"></a><span class="lineno"> 635</span>&#160; <span class="comment">// Set weight of a control vertex.</span></div><div class="line"><a name="l00636"></a><span class="lineno"> 636</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00637"></a><span class="lineno"> 637</span>&#160; <span class="comment">// cv_index - [in] control vertex index (0 &lt;= cv_index &lt; m_order)</span></div><div class="line"><a name="l00638"></a><span class="lineno"> 638</span>&#160; <span class="comment">// weight - [in] weight</span></div><div class="line"><a name="l00639"></a><span class="lineno"> 639</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00640"></a><span class="lineno"> 640</span>&#160; <span class="comment">// true if the weight can be set. If weight is not 1 and</span></div><div class="line"><a name="l00641"></a><span class="lineno"> 641</span>&#160; <span class="comment">// the bezier is not rational, then false is returned.</span></div><div class="line"><a name="l00642"></a><span class="lineno"> 642</span>&#160; <span class="comment">// Use ON_BezierCurve::MakeRational to make a bezier curve</span></div><div class="line"><a name="l00643"></a><span class="lineno"> 643</span>&#160; <span class="comment">// rational.</span></div><div class="line"><a name="l00644"></a><span class="lineno"> 644</span>&#160; <span class="comment">// See Also:</span></div><div class="line"><a name="l00645"></a><span class="lineno"> 645</span>&#160; <span class="comment">// ON_BezierCurve::SetCV, ON_BezierCurve::MakeRational,</span></div><div class="line"><a name="l00646"></a><span class="lineno"> 646</span>&#160; <span class="comment">// ON_BezierCurve::IsRational, ON_BezierCurve::Weight</span></div><div class="line"><a name="l00647"></a><span class="lineno"> 647</span>&#160; <span class="keywordtype">bool</span> SetWeight(</div><div class="line"><a name="l00648"></a><span class="lineno"> 648</span>&#160; <span class="keywordtype">int</span> cv_index,</div><div class="line"><a name="l00649"></a><span class="lineno"> 649</span>&#160; <span class="keywordtype">double</span> weight</div><div class="line"><a name="l00650"></a><span class="lineno"> 650</span>&#160; );</div><div class="line"><a name="l00651"></a><span class="lineno"> 651</span>&#160;</div><div class="line"><a name="l00652"></a><span class="lineno"> 652</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00653"></a><span class="lineno"> 653</span>&#160; <span class="comment">// Set control vertex</span></div><div class="line"><a name="l00654"></a><span class="lineno"> 654</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00655"></a><span class="lineno"> 655</span>&#160; <span class="comment">// cv_index - [in] control vertex index (0 &lt;= cv_index &lt; m_order)</span></div><div class="line"><a name="l00656"></a><span class="lineno"> 656</span>&#160; <span class="comment">// pointstyle - [in] specifes what kind of values are passed</span></div><div class="line"><a name="l00657"></a><span class="lineno"> 657</span>&#160; <span class="comment">// in the cv array.</span></div><div class="line"><a name="l00658"></a><span class="lineno"> 658</span>&#160; <span class="comment">// ON::not_rational </span></div><div class="line"><a name="l00659"></a><span class="lineno"> 659</span>&#160; <span class="comment">// cv[] is an array of length m_dim that defines</span></div><div class="line"><a name="l00660"></a><span class="lineno"> 660</span>&#160; <span class="comment">// a euclidean (world coordinate) point</span></div><div class="line"><a name="l00661"></a><span class="lineno"> 661</span>&#160; <span class="comment">// ON::homogeneous_rational</span></div><div class="line"><a name="l00662"></a><span class="lineno"> 662</span>&#160; <span class="comment">// cv[] is an array of length (m_dim+1) that defines</span></div><div class="line"><a name="l00663"></a><span class="lineno"> 663</span>&#160; <span class="comment">// a rational homogeneous point.</span></div><div class="line"><a name="l00664"></a><span class="lineno"> 664</span>&#160; <span class="comment">// ON::euclidean_rational</span></div><div class="line"><a name="l00665"></a><span class="lineno"> 665</span>&#160; <span class="comment">// cv[] is an array of length (m_dim+1). The first</span></div><div class="line"><a name="l00666"></a><span class="lineno"> 666</span>&#160; <span class="comment">// m_dim values define the euclidean (world coordinate) </span></div><div class="line"><a name="l00667"></a><span class="lineno"> 667</span>&#160; <span class="comment">// location of the point. cv[m_dim] is the weight</span></div><div class="line"><a name="l00668"></a><span class="lineno"> 668</span>&#160; <span class="comment">// ON::intrinsic_point_style</span></div><div class="line"><a name="l00669"></a><span class="lineno"> 669</span>&#160; <span class="comment">// If m_is_rat is true, cv[] has ON::homogeneous_rational</span></div><div class="line"><a name="l00670"></a><span class="lineno"> 670</span>&#160; <span class="comment">// point style. If m_is_rat is false, cv[] has </span></div><div class="line"><a name="l00671"></a><span class="lineno"> 671</span>&#160; <span class="comment">// ON::not_rational point style.</span></div><div class="line"><a name="l00672"></a><span class="lineno"> 672</span>&#160; <span class="comment">// cv - [in] array with control vertex value.</span></div><div class="line"><a name="l00673"></a><span class="lineno"> 673</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00674"></a><span class="lineno"> 674</span>&#160; <span class="comment">// true if the point can be set.</span></div><div class="line"><a name="l00675"></a><span class="lineno"> 675</span>&#160; <span class="keywordtype">bool</span> SetCV(</div><div class="line"><a name="l00676"></a><span class="lineno"> 676</span>&#160; <span class="keywordtype">int</span> cv_index,</div><div class="line"><a name="l00677"></a><span class="lineno"> 677</span>&#160; ON::point_style pointstyle,</div><div class="line"><a name="l00678"></a><span class="lineno"> 678</span>&#160; <span class="keyword">const</span> <span class="keywordtype">double</span>* cv</div><div class="line"><a name="l00679"></a><span class="lineno"> 679</span>&#160; );</div><div class="line"><a name="l00680"></a><span class="lineno"> 680</span>&#160;</div><div class="line"><a name="l00681"></a><span class="lineno"> 681</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00682"></a><span class="lineno"> 682</span>&#160; <span class="comment">// Set location of a control vertex.</span></div><div class="line"><a name="l00683"></a><span class="lineno"> 683</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00684"></a><span class="lineno"> 684</span>&#160; <span class="comment">// cv_index - [in] control vertex index (0 &lt;= cv_index &lt; m_order)</span></div><div class="line"><a name="l00685"></a><span class="lineno"> 685</span>&#160; <span class="comment">// point - [in] control vertex location. If the bezier</span></div><div class="line"><a name="l00686"></a><span class="lineno"> 686</span>&#160; <span class="comment">// is rational, the weight will be set to 1.</span></div><div class="line"><a name="l00687"></a><span class="lineno"> 687</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00688"></a><span class="lineno"> 688</span>&#160; <span class="comment">// true if successful.</span></div><div class="line"><a name="l00689"></a><span class="lineno"> 689</span>&#160; <span class="comment">// See Also:</span></div><div class="line"><a name="l00690"></a><span class="lineno"> 690</span>&#160; <span class="comment">// ON_BezierCurve::CV, ON_BezierCurve::SetCV,</span></div><div class="line"><a name="l00691"></a><span class="lineno"> 691</span>&#160; <span class="comment">// ON_BezierCurve::SetWeight, ON_BezierCurve::Weight</span></div><div class="line"><a name="l00692"></a><span class="lineno"> 692</span>&#160; <span class="keywordtype">bool</span> SetCV(</div><div class="line"><a name="l00693"></a><span class="lineno"> 693</span>&#160; <span class="keywordtype">int</span> cv_index,</div><div class="line"><a name="l00694"></a><span class="lineno"> 694</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&amp; point</div><div class="line"><a name="l00695"></a><span class="lineno"> 695</span>&#160; );</div><div class="line"><a name="l00696"></a><span class="lineno"> 696</span>&#160;</div><div class="line"><a name="l00697"></a><span class="lineno"> 697</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00698"></a><span class="lineno"> 698</span>&#160; <span class="comment">// Set value of a control vertex.</span></div><div class="line"><a name="l00699"></a><span class="lineno"> 699</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00700"></a><span class="lineno"> 700</span>&#160; <span class="comment">// cv_index - [in] control vertex index (0 &lt;= cv_index &lt; m_order)</span></div><div class="line"><a name="l00701"></a><span class="lineno"> 701</span>&#160; <span class="comment">// point - [in] control vertex value. If the bezier</span></div><div class="line"><a name="l00702"></a><span class="lineno"> 702</span>&#160; <span class="comment">// is not rational, the euclidean location of</span></div><div class="line"><a name="l00703"></a><span class="lineno"> 703</span>&#160; <span class="comment">// homogenoeous point will be used.</span></div><div class="line"><a name="l00704"></a><span class="lineno"> 704</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00705"></a><span class="lineno"> 705</span>&#160; <span class="comment">// true if successful.</span></div><div class="line"><a name="l00706"></a><span class="lineno"> 706</span>&#160; <span class="comment">// See Also:</span></div><div class="line"><a name="l00707"></a><span class="lineno"> 707</span>&#160; <span class="comment">// ON_BezierCurve::CV, ON_BezierCurve::SetCV,</span></div><div class="line"><a name="l00708"></a><span class="lineno"> 708</span>&#160; <span class="comment">// ON_BezierCurve::SetWeight, ON_BezierCurve::Weight</span></div><div class="line"><a name="l00709"></a><span class="lineno"> 709</span>&#160; <span class="keywordtype">bool</span> SetCV(</div><div class="line"><a name="l00710"></a><span class="lineno"> 710</span>&#160; <span class="keywordtype">int</span> cv_index,</div><div class="line"><a name="l00711"></a><span class="lineno"> 711</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d9/db1/class_o_n__4d_point.html">ON_4dPoint</a>&amp; point</div><div class="line"><a name="l00712"></a><span class="lineno"> 712</span>&#160; );</div><div class="line"><a name="l00713"></a><span class="lineno"> 713</span>&#160;</div><div class="line"><a name="l00714"></a><span class="lineno"> 714</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00715"></a><span class="lineno"> 715</span>&#160; <span class="comment">// Get location of a control vertex.</span></div><div class="line"><a name="l00716"></a><span class="lineno"> 716</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00717"></a><span class="lineno"> 717</span>&#160; <span class="comment">// cv_index - [in] control vertex index (0 &lt;= cv_index &lt; m_order)</span></div><div class="line"><a name="l00718"></a><span class="lineno"> 718</span>&#160; <span class="comment">// pointstyle - [in] specifes what kind of values to get</span></div><div class="line"><a name="l00719"></a><span class="lineno"> 719</span>&#160; <span class="comment">// ON::not_rational </span></div><div class="line"><a name="l00720"></a><span class="lineno"> 720</span>&#160; <span class="comment">// cv[] is an array of length m_dim that defines</span></div><div class="line"><a name="l00721"></a><span class="lineno"> 721</span>&#160; <span class="comment">// a euclidean (world coordinate) point</span></div><div class="line"><a name="l00722"></a><span class="lineno"> 722</span>&#160; <span class="comment">// ON::homogeneous_rational</span></div><div class="line"><a name="l00723"></a><span class="lineno"> 723</span>&#160; <span class="comment">// cv[] is an array of length (m_dim+1) that defines</span></div><div class="line"><a name="l00724"></a><span class="lineno"> 724</span>&#160; <span class="comment">// a rational homogeneous point.</span></div><div class="line"><a name="l00725"></a><span class="lineno"> 725</span>&#160; <span class="comment">// ON::euclidean_rational</span></div><div class="line"><a name="l00726"></a><span class="lineno"> 726</span>&#160; <span class="comment">// cv[] is an array of length (m_dim+1). The first</span></div><div class="line"><a name="l00727"></a><span class="lineno"> 727</span>&#160; <span class="comment">// m_dim values define the euclidean (world coordinate) </span></div><div class="line"><a name="l00728"></a><span class="lineno"> 728</span>&#160; <span class="comment">// location of the point. cv[m_dim] is the weight</span></div><div class="line"><a name="l00729"></a><span class="lineno"> 729</span>&#160; <span class="comment">// ON::intrinsic_point_style</span></div><div class="line"><a name="l00730"></a><span class="lineno"> 730</span>&#160; <span class="comment">// If m_is_rat is true, cv[] has ON::homogeneous_rational</span></div><div class="line"><a name="l00731"></a><span class="lineno"> 731</span>&#160; <span class="comment">// point style. If m_is_rat is false, cv[] has </span></div><div class="line"><a name="l00732"></a><span class="lineno"> 732</span>&#160; <span class="comment">// ON::not_rational point style.</span></div><div class="line"><a name="l00733"></a><span class="lineno"> 733</span>&#160; <span class="comment">// cv - [out] array with control vertex value.</span></div><div class="line"><a name="l00734"></a><span class="lineno"> 734</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00735"></a><span class="lineno"> 735</span>&#160; <span class="comment">// true if successful. false if cv_index is invalid.</span></div><div class="line"><a name="l00736"></a><span class="lineno"> 736</span>&#160; <span class="keywordtype">bool</span> GetCV(</div><div class="line"><a name="l00737"></a><span class="lineno"> 737</span>&#160; <span class="keywordtype">int</span> cv_index,</div><div class="line"><a name="l00738"></a><span class="lineno"> 738</span>&#160; ON::point_style pointstyle,</div><div class="line"><a name="l00739"></a><span class="lineno"> 739</span>&#160; <span class="keywordtype">double</span>* cv</div><div class="line"><a name="l00740"></a><span class="lineno"> 740</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00741"></a><span class="lineno"> 741</span>&#160;</div><div class="line"><a name="l00742"></a><span class="lineno"> 742</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00743"></a><span class="lineno"> 743</span>&#160; <span class="comment">// Get location of a control vertex.</span></div><div class="line"><a name="l00744"></a><span class="lineno"> 744</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00745"></a><span class="lineno"> 745</span>&#160; <span class="comment">// cv_index - [in] control vertex index (0 &lt;= cv_index &lt; m_order)</span></div><div class="line"><a name="l00746"></a><span class="lineno"> 746</span>&#160; <span class="comment">// point - [out] Location of control vertex. If the bezier</span></div><div class="line"><a name="l00747"></a><span class="lineno"> 747</span>&#160; <span class="comment">// is rational, the euclidean location is returned.</span></div><div class="line"><a name="l00748"></a><span class="lineno"> 748</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00749"></a><span class="lineno"> 749</span>&#160; <span class="comment">// true if successful.</span></div><div class="line"><a name="l00750"></a><span class="lineno"> 750</span>&#160; <span class="keywordtype">bool</span> GetCV(</div><div class="line"><a name="l00751"></a><span class="lineno"> 751</span>&#160; <span class="keywordtype">int</span> cv_index,</div><div class="line"><a name="l00752"></a><span class="lineno"> 752</span>&#160; <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&amp; point</div><div class="line"><a name="l00753"></a><span class="lineno"> 753</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00754"></a><span class="lineno"> 754</span>&#160;</div><div class="line"><a name="l00755"></a><span class="lineno"> 755</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00756"></a><span class="lineno"> 756</span>&#160; <span class="comment">// Get value of a control vertex.</span></div><div class="line"><a name="l00757"></a><span class="lineno"> 757</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00758"></a><span class="lineno"> 758</span>&#160; <span class="comment">// cv_index - [in] control vertex index (0 &lt;= cv_index &lt; m_order)</span></div><div class="line"><a name="l00759"></a><span class="lineno"> 759</span>&#160; <span class="comment">// point - [out] Homogenous value of control vertex.</span></div><div class="line"><a name="l00760"></a><span class="lineno"> 760</span>&#160; <span class="comment">// If the bezier is not rational, the weight is 1.</span></div><div class="line"><a name="l00761"></a><span class="lineno"> 761</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00762"></a><span class="lineno"> 762</span>&#160; <span class="comment">// true if successful.</span></div><div class="line"><a name="l00763"></a><span class="lineno"> 763</span>&#160; <span class="keywordtype">bool</span> GetCV(</div><div class="line"><a name="l00764"></a><span class="lineno"> 764</span>&#160; <span class="keywordtype">int</span> cv_index,</div><div class="line"><a name="l00765"></a><span class="lineno"> 765</span>&#160; <a class="code" href="../../d9/db1/class_o_n__4d_point.html">ON_4dPoint</a>&amp; point</div><div class="line"><a name="l00766"></a><span class="lineno"> 766</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00767"></a><span class="lineno"> 767</span>&#160;</div><div class="line"><a name="l00768"></a><span class="lineno"> 768</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00769"></a><span class="lineno"> 769</span>&#160; <span class="comment">// Zeros control vertices and, if rational, sets weights to 1.</span></div><div class="line"><a name="l00770"></a><span class="lineno"> 770</span>&#160; <span class="keywordtype">bool</span> ZeroCVs(); </div><div class="line"><a name="l00771"></a><span class="lineno"> 771</span>&#160;</div><div class="line"><a name="l00772"></a><span class="lineno"> 772</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00773"></a><span class="lineno"> 773</span>&#160; <span class="comment">// Make beizer rational.</span></div><div class="line"><a name="l00774"></a><span class="lineno"> 774</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00775"></a><span class="lineno"> 775</span>&#160; <span class="comment">// true if successful.</span></div><div class="line"><a name="l00776"></a><span class="lineno"> 776</span>&#160; <span class="comment">// See Also:</span></div><div class="line"><a name="l00777"></a><span class="lineno"> 777</span>&#160; <span class="comment">// ON_Bezier::MakeNonRational</span></div><div class="line"><a name="l00778"></a><span class="lineno"> 778</span>&#160; <span class="keywordtype">bool</span> MakeRational();</div><div class="line"><a name="l00779"></a><span class="lineno"> 779</span>&#160;</div><div class="line"><a name="l00780"></a><span class="lineno"> 780</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00781"></a><span class="lineno"> 781</span>&#160; <span class="comment">// Make beizer not rational by setting all control</span></div><div class="line"><a name="l00782"></a><span class="lineno"> 782</span>&#160; <span class="comment">// vertices to their euclidean locations and setting</span></div><div class="line"><a name="l00783"></a><span class="lineno"> 783</span>&#160; <span class="comment">// m_is_rat to false.</span></div><div class="line"><a name="l00784"></a><span class="lineno"> 784</span>&#160; <span class="comment">// See Also:</span></div><div class="line"><a name="l00785"></a><span class="lineno"> 785</span>&#160; <span class="comment">// ON_Bezier::MakeRational</span></div><div class="line"><a name="l00786"></a><span class="lineno"> 786</span>&#160; <span class="keywordtype">bool</span> MakeNonRational();</div><div class="line"><a name="l00787"></a><span class="lineno"> 787</span>&#160;</div><div class="line"><a name="l00788"></a><span class="lineno"> 788</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00789"></a><span class="lineno"> 789</span>&#160; <span class="comment">// Increase degree of bezier.</span></div><div class="line"><a name="l00790"></a><span class="lineno"> 790</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00791"></a><span class="lineno"> 791</span>&#160; <span class="comment">// desired_degree - [in]</span></div><div class="line"><a name="l00792"></a><span class="lineno"> 792</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00793"></a><span class="lineno"> 793</span>&#160; <span class="comment">// true if successful. false if desired_degree &lt; current degree.</span></div><div class="line"><a name="l00794"></a><span class="lineno"> 794</span>&#160; <span class="keywordtype">bool</span> IncreaseDegree(</div><div class="line"><a name="l00795"></a><span class="lineno"> 795</span>&#160; <span class="keywordtype">int</span> desired_degree</div><div class="line"><a name="l00796"></a><span class="lineno"> 796</span>&#160; );</div><div class="line"><a name="l00797"></a><span class="lineno"> 797</span>&#160;</div><div class="line"><a name="l00798"></a><span class="lineno"> 798</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00799"></a><span class="lineno"> 799</span>&#160; <span class="comment">// Change dimension of bezier.</span></div><div class="line"><a name="l00800"></a><span class="lineno"> 800</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00801"></a><span class="lineno"> 801</span>&#160; <span class="comment">// desired_dimension - [in]</span></div><div class="line"><a name="l00802"></a><span class="lineno"> 802</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00803"></a><span class="lineno"> 803</span>&#160; <span class="comment">// true if successful. false if desired_dimension &lt; 1</span></div><div class="line"><a name="l00804"></a><span class="lineno"> 804</span>&#160; <span class="keywordtype">bool</span> ChangeDimension(</div><div class="line"><a name="l00805"></a><span class="lineno"> 805</span>&#160; <span class="keywordtype">int</span> desired_dimension</div><div class="line"><a name="l00806"></a><span class="lineno"> 806</span>&#160; );</div><div class="line"><a name="l00807"></a><span class="lineno"> 807</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00808"></a><span class="lineno"> 808</span>&#160;<span class="comment"> /////////////////////////////////////////////////////////////////</span></div><div class="line"><a name="l00809"></a><span class="lineno"> 809</span>&#160;<span class="comment"></span> <span class="comment">// Tools for managing CV and knot memory</span></div><div class="line"><a name="l00810"></a><span class="lineno"> 810</span>&#160;</div><div class="line"><a name="l00811"></a><span class="lineno"> 811</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00812"></a><span class="lineno"> 812</span>&#160; <span class="comment">// Make sure m_cv array has a certain length.</span></div><div class="line"><a name="l00813"></a><span class="lineno"> 813</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00814"></a><span class="lineno"> 814</span>&#160; <span class="comment">// desired_cv_capacity - [in] minimum length of m_cv array.</span></div><div class="line"><a name="l00815"></a><span class="lineno"> 815</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00816"></a><span class="lineno"> 816</span>&#160; <span class="comment">// true if successful.</span></div><div class="line"><a name="l00817"></a><span class="lineno"> 817</span>&#160; <span class="keywordtype">bool</span> ReserveCVCapacity(</div><div class="line"><a name="l00818"></a><span class="lineno"> 818</span>&#160; <span class="keywordtype">int</span> desired_cv_capacity</div><div class="line"><a name="l00819"></a><span class="lineno"> 819</span>&#160; );</div><div class="line"><a name="l00820"></a><span class="lineno"> 820</span>&#160;</div><div class="line"><a name="l00821"></a><span class="lineno"> 821</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00822"></a><span class="lineno"> 822</span>&#160; <span class="comment">// Trims (or extends) the bezier so the bezier so that the </span></div><div class="line"><a name="l00823"></a><span class="lineno"> 823</span>&#160; <span class="comment">// result starts bezier(interval[0]) and ends at </span></div><div class="line"><a name="l00824"></a><span class="lineno"> 824</span>&#160; <span class="comment">// bezier(interval[1]) (Evaluation performed on input bezier.)</span></div><div class="line"><a name="l00825"></a><span class="lineno"> 825</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00826"></a><span class="lineno"> 826</span>&#160; <span class="comment">// interval -[in]</span></div><div class="line"><a name="l00827"></a><span class="lineno"> 827</span>&#160; <span class="comment">// Example:</span></div><div class="line"><a name="l00828"></a><span class="lineno"> 828</span>&#160; <span class="comment">// An interval of [0,1] leaves the bezier unchanged. An</span></div><div class="line"><a name="l00829"></a><span class="lineno"> 829</span>&#160; <span class="comment">// interval of [0.5,1] would trim away the left half. An</span></div><div class="line"><a name="l00830"></a><span class="lineno"> 830</span>&#160; <span class="comment">// interval of [0.0,2.0] would extend the right end.</span></div><div class="line"><a name="l00831"></a><span class="lineno"> 831</span>&#160; <span class="keywordtype">bool</span> Trim( </div><div class="line"><a name="l00832"></a><span class="lineno"> 832</span>&#160; <span class="keyword">const</span> <a class="code" href="../../dc/dc7/class_o_n___interval.html">ON_Interval</a>&amp; interval </div><div class="line"><a name="l00833"></a><span class="lineno"> 833</span>&#160; );</div><div class="line"><a name="l00834"></a><span class="lineno"> 834</span>&#160;</div><div class="line"><a name="l00835"></a><span class="lineno"> 835</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00836"></a><span class="lineno"> 836</span>&#160; <span class="comment">// Split() divides the Bezier curve at the specified parameter.</span></div><div class="line"><a name="l00837"></a><span class="lineno"> 837</span>&#160; <span class="comment">// The parameter must satisfy 0 &lt; t &lt; 1. You may pass *this as</span></div><div class="line"><a name="l00838"></a><span class="lineno"> 838</span>&#160; <span class="comment">// one of the curves to be returned.</span></div><div class="line"><a name="l00839"></a><span class="lineno"> 839</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00840"></a><span class="lineno"> 840</span>&#160; <span class="comment">// t - [in] (0 &lt; t &lt; 1 ) parameter to split at</span></div><div class="line"><a name="l00841"></a><span class="lineno"> 841</span>&#160; <span class="comment">// left_side - [out]</span></div><div class="line"><a name="l00842"></a><span class="lineno"> 842</span>&#160; <span class="comment">// right_side - [out] </span></div><div class="line"><a name="l00843"></a><span class="lineno"> 843</span>&#160; <span class="comment">// Example:</span></div><div class="line"><a name="l00844"></a><span class="lineno"> 844</span>&#160; <span class="comment">// ON_BezierCurve crv = ...;</span></div><div class="line"><a name="l00845"></a><span class="lineno"> 845</span>&#160; <span class="comment">// ON_BezierCurve right_side;</span></div><div class="line"><a name="l00846"></a><span class="lineno"> 846</span>&#160; <span class="comment">// crv.Split( 0.5, crv, right_side );</span></div><div class="line"><a name="l00847"></a><span class="lineno"> 847</span>&#160; <span class="comment">// would split crv at the 1/2, put the left side in crv,</span></div><div class="line"><a name="l00848"></a><span class="lineno"> 848</span>&#160; <span class="comment">// and return the right side in right_side.</span></div><div class="line"><a name="l00849"></a><span class="lineno"> 849</span>&#160; <span class="keywordtype">bool</span> Split( </div><div class="line"><a name="l00850"></a><span class="lineno"> 850</span>&#160; <span class="keywordtype">double</span> t,</div><div class="line"><a name="l00851"></a><span class="lineno"> 851</span>&#160; <a class="code" href="../../d9/d6f/class_o_n___bezier_curve.html">ON_BezierCurve</a>&amp; left_side,</div><div class="line"><a name="l00852"></a><span class="lineno"> 852</span>&#160; <a class="code" href="../../d9/d6f/class_o_n___bezier_curve.html">ON_BezierCurve</a>&amp; right_side</div><div class="line"><a name="l00853"></a><span class="lineno"> 853</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00854"></a><span class="lineno"> 854</span>&#160;</div><div class="line"><a name="l00855"></a><span class="lineno"> 855</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00856"></a><span class="lineno"> 856</span>&#160; <span class="comment">// returns the length of the control polygon</span></div><div class="line"><a name="l00857"></a><span class="lineno"> 857</span>&#160; <span class="keywordtype">double</span> ControlPolygonLength() <span class="keyword">const</span>;</div><div class="line"><a name="l00858"></a><span class="lineno"> 858</span>&#160;</div><div class="line"><a name="l00859"></a><span class="lineno"> 859</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00860"></a><span class="lineno"> 860</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00861"></a><span class="lineno"> 861</span>&#160;<span class="comment"> Use a linear fractional tranformation for [0,1] to reparameterize</span></div><div class="line"><a name="l00862"></a><span class="lineno"> 862</span>&#160;<span class="comment"> the bezier. The locus of the curve is not changed, but the</span></div><div class="line"><a name="l00863"></a><span class="lineno"> 863</span>&#160;<span class="comment"> parameterization is changed.</span></div><div class="line"><a name="l00864"></a><span class="lineno"> 864</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l00865"></a><span class="lineno"> 865</span>&#160;<span class="comment"> c - [in]</span></div><div class="line"><a name="l00866"></a><span class="lineno"> 866</span>&#160;<span class="comment"> reparameterization constant (generally speaking, c should be &gt; 0).</span></div><div class="line"><a name="l00867"></a><span class="lineno"> 867</span>&#160;<span class="comment"> If c != 1, then the returned bezier will be rational.</span></div><div class="line"><a name="l00868"></a><span class="lineno"> 868</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00869"></a><span class="lineno"> 869</span>&#160;<span class="comment"> true if successful.</span></div><div class="line"><a name="l00870"></a><span class="lineno"> 870</span>&#160;<span class="comment"> Remarks:</span></div><div class="line"><a name="l00871"></a><span class="lineno"> 871</span>&#160;<span class="comment"> The reparameterization is performed by composing the input Bezier with</span></div><div class="line"><a name="l00872"></a><span class="lineno"> 872</span>&#160;<span class="comment"> the function lambda: [0,1] -&gt; [0,1] given by</span></div><div class="line"><a name="l00873"></a><span class="lineno"> 873</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00874"></a><span class="lineno"> 874</span>&#160;<span class="comment"> t -&gt; c*t / ( (c-1)*t + 1 )</span></div><div class="line"><a name="l00875"></a><span class="lineno"> 875</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00876"></a><span class="lineno"> 876</span>&#160;<span class="comment"> Note that lambda(0) = 0, lambda(1) = 1, lambda&#39;(t) &gt; 0, </span></div><div class="line"><a name="l00877"></a><span class="lineno"> 877</span>&#160;<span class="comment"> lambda&#39;(0) = c and lambda&#39;(1) = 1/c.</span></div><div class="line"><a name="l00878"></a><span class="lineno"> 878</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00879"></a><span class="lineno"> 879</span>&#160;<span class="comment"> If the input Bezier has control vertices {B_0, ..., B_d}, then the </span></div><div class="line"><a name="l00880"></a><span class="lineno"> 880</span>&#160;<span class="comment"> output Bezier has control vertices </span></div><div class="line"><a name="l00881"></a><span class="lineno"> 881</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00882"></a><span class="lineno"> 882</span>&#160;<span class="comment"> (B_0, ... c^i * B_i, ..., c^d * B_d).</span></div><div class="line"><a name="l00883"></a><span class="lineno"> 883</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00884"></a><span class="lineno"> 884</span>&#160;<span class="comment"> To derive this formula, simply compute the i-th Bernstein polynomial</span></div><div class="line"><a name="l00885"></a><span class="lineno"> 885</span>&#160;<span class="comment"> composed with lambda().</span></div><div class="line"><a name="l00886"></a><span class="lineno"> 886</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00887"></a><span class="lineno"> 887</span>&#160;<span class="comment"> The inverse parameterization is given by 1/c. That is, the </span></div><div class="line"><a name="l00888"></a><span class="lineno"> 888</span>&#160;<span class="comment"> cumulative effect of the two calls</span></div><div class="line"><a name="l00889"></a><span class="lineno"> 889</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00890"></a><span class="lineno"> 890</span>&#160;<span class="comment"> Reparameterize(c)</span></div><div class="line"><a name="l00891"></a><span class="lineno"> 891</span>&#160;<span class="comment"> Reparameterize(1.0/c)</span></div><div class="line"><a name="l00892"></a><span class="lineno"> 892</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00893"></a><span class="lineno"> 893</span>&#160;<span class="comment"> is to leave the bezier unchanged.</span></div><div class="line"><a name="l00894"></a><span class="lineno"> 894</span>&#160;<span class="comment"> See Also:</span></div><div class="line"><a name="l00895"></a><span class="lineno"> 895</span>&#160;<span class="comment"> ON_Bezier::ScaleConrolPoints</span></div><div class="line"><a name="l00896"></a><span class="lineno"> 896</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00897"></a><span class="lineno"> 897</span>&#160; <span class="keywordtype">bool</span> Reparameterize(</div><div class="line"><a name="l00898"></a><span class="lineno"> 898</span>&#160; <span class="keywordtype">double</span> c</div><div class="line"><a name="l00899"></a><span class="lineno"> 899</span>&#160; );</div><div class="line"><a name="l00900"></a><span class="lineno"> 900</span>&#160;</div><div class="line"><a name="l00901"></a><span class="lineno"> 901</span>&#160; <span class="comment">// misspelled function name is obsolete</span></div><div class="line"><a name="l00902"></a><span class="lineno"> 902</span>&#160; ON_DEPRECATED_MSG(<span class="stringliteral">&quot;misspelled - use Reparameterize&quot;</span>)</div><div class="line"><a name="l00903"></a><span class="lineno"> 903</span>&#160; bool Reparametrize(<span class="keywordtype">double</span>);</div><div class="line"><a name="l00904"></a><span class="lineno"> 904</span>&#160;</div><div class="line"><a name="l00905"></a><span class="lineno"> 905</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00906"></a><span class="lineno"> 906</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00907"></a><span class="lineno"> 907</span>&#160;<span class="comment"> Scale a rational Bezier&#39;s control vertices to set a weight to a </span></div><div class="line"><a name="l00908"></a><span class="lineno"> 908</span>&#160;<span class="comment"> specified value.</span></div><div class="line"><a name="l00909"></a><span class="lineno"> 909</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l00910"></a><span class="lineno"> 910</span>&#160;<span class="comment"> i - [in] (0 &lt;= i &lt; order)</span></div><div class="line"><a name="l00911"></a><span class="lineno"> 911</span>&#160;<span class="comment"> w - [in] w != 0.0</span></div><div class="line"><a name="l00912"></a><span class="lineno"> 912</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00913"></a><span class="lineno"> 913</span>&#160;<span class="comment"> True if successful. The i-th control vertex will have weight w.</span></div><div class="line"><a name="l00914"></a><span class="lineno"> 914</span>&#160;<span class="comment"> Remarks:</span></div><div class="line"><a name="l00915"></a><span class="lineno"> 915</span>&#160;<span class="comment"> Each control point is multiplied by w/w0, where w0 is the</span></div><div class="line"><a name="l00916"></a><span class="lineno"> 916</span>&#160;<span class="comment"> input value of Weight(i).</span></div><div class="line"><a name="l00917"></a><span class="lineno"> 917</span>&#160;<span class="comment"> See Also:</span></div><div class="line"><a name="l00918"></a><span class="lineno"> 918</span>&#160;<span class="comment"> ON_Bezier::Reparameterize</span></div><div class="line"><a name="l00919"></a><span class="lineno"> 919</span>&#160;<span class="comment"> ON_Bezier::ChangeWeights</span></div><div class="line"><a name="l00920"></a><span class="lineno"> 920</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00921"></a><span class="lineno"> 921</span>&#160; <span class="keywordtype">bool</span> ScaleConrolPoints( </div><div class="line"><a name="l00922"></a><span class="lineno"> 922</span>&#160; <span class="keywordtype">int</span> i, </div><div class="line"><a name="l00923"></a><span class="lineno"> 923</span>&#160; <span class="keywordtype">double</span> w</div><div class="line"><a name="l00924"></a><span class="lineno"> 924</span>&#160; );</div><div class="line"><a name="l00925"></a><span class="lineno"> 925</span>&#160;</div><div class="line"><a name="l00926"></a><span class="lineno"> 926</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00927"></a><span class="lineno"> 927</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00928"></a><span class="lineno"> 928</span>&#160;<span class="comment"> Use a combination of scaling and reparameterization to set two </span></div><div class="line"><a name="l00929"></a><span class="lineno"> 929</span>&#160;<span class="comment"> rational Bezier weights to specified values.</span></div><div class="line"><a name="l00930"></a><span class="lineno"> 930</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l00931"></a><span class="lineno"> 931</span>&#160;<span class="comment"> i0 - [in] control point index (0 &lt;= i0 &lt; order, i0 != i1)</span></div><div class="line"><a name="l00932"></a><span class="lineno"> 932</span>&#160;<span class="comment"> w0 - [in] Desired weight for i0-th control point</span></div><div class="line"><a name="l00933"></a><span class="lineno"> 933</span>&#160;<span class="comment"> i1 - [in] control point index (0 &lt;= i1 &lt; order, i0 != i1)</span></div><div class="line"><a name="l00934"></a><span class="lineno"> 934</span>&#160;<span class="comment"> w1 - [in] Desired weight for i1-th control point</span></div><div class="line"><a name="l00935"></a><span class="lineno"> 935</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00936"></a><span class="lineno"> 936</span>&#160;<span class="comment"> True if successful. The returned bezier has the same locus but</span></div><div class="line"><a name="l00937"></a><span class="lineno"> 937</span>&#160;<span class="comment"> probably has a different parameterization.</span></div><div class="line"><a name="l00938"></a><span class="lineno"> 938</span>&#160;<span class="comment"> Remarks:</span></div><div class="line"><a name="l00939"></a><span class="lineno"> 939</span>&#160;<span class="comment"> The i0-th cv will have weight w0 and the i1-rst cv will have </span></div><div class="line"><a name="l00940"></a><span class="lineno"> 940</span>&#160;<span class="comment"> weight w1. If v0 and v1 are the cv&#39;s input weights, </span></div><div class="line"><a name="l00941"></a><span class="lineno"> 941</span>&#160;<span class="comment"> then v0, v1, w0 and w1 must all be nonzero, and w0*v0 </span></div><div class="line"><a name="l00942"></a><span class="lineno"> 942</span>&#160;<span class="comment"> and w1*v1 must have the same sign.</span></div><div class="line"><a name="l00943"></a><span class="lineno"> 943</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00944"></a><span class="lineno"> 944</span>&#160;<span class="comment"> The equations</span></div><div class="line"><a name="l00945"></a><span class="lineno"> 945</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00946"></a><span class="lineno"> 946</span>&#160;<span class="comment"> s * r^i0 = w0/v0</span></div><div class="line"><a name="l00947"></a><span class="lineno"> 947</span>&#160;<span class="comment"> s * r^i1 = w1/v1</span></div><div class="line"><a name="l00948"></a><span class="lineno"> 948</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00949"></a><span class="lineno"> 949</span>&#160;<span class="comment"> determine the scaling and reparameterization necessary to </span></div><div class="line"><a name="l00950"></a><span class="lineno"> 950</span>&#160;<span class="comment"> change v0,v1 to w0,w1. </span></div><div class="line"><a name="l00951"></a><span class="lineno"> 951</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00952"></a><span class="lineno"> 952</span>&#160;<span class="comment"> If the input Bezier has control vertices </span></div><div class="line"><a name="l00953"></a><span class="lineno"> 953</span>&#160;<span class="comment"> </span></div><div class="line"><a name="l00954"></a><span class="lineno"> 954</span>&#160;<span class="comment"> (B_0, ..., B_d),</span></div><div class="line"><a name="l00955"></a><span class="lineno"> 955</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00956"></a><span class="lineno"> 956</span>&#160;<span class="comment"> then the output Bezier has control vertices </span></div><div class="line"><a name="l00957"></a><span class="lineno"> 957</span>&#160;<span class="comment"> </span></div><div class="line"><a name="l00958"></a><span class="lineno"> 958</span>&#160;<span class="comment"> (s*B_0, ... s*r^i * B_i, ..., s*r^d * B_d).</span></div><div class="line"><a name="l00959"></a><span class="lineno"> 959</span>&#160;<span class="comment"> See Also:</span></div><div class="line"><a name="l00960"></a><span class="lineno"> 960</span>&#160;<span class="comment"> ON_Bezier::Reparameterize</span></div><div class="line"><a name="l00961"></a><span class="lineno"> 961</span>&#160;<span class="comment"> ON_Bezier::ScaleConrolPoints</span></div><div class="line"><a name="l00962"></a><span class="lineno"> 962</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00963"></a><span class="lineno"> 963</span>&#160; <span class="keywordtype">bool</span> ChangeWeights(</div><div class="line"><a name="l00964"></a><span class="lineno"> 964</span>&#160; <span class="keywordtype">int</span> i0, </div><div class="line"><a name="l00965"></a><span class="lineno"> 965</span>&#160; <span class="keywordtype">double</span> w0, </div><div class="line"><a name="l00966"></a><span class="lineno"> 966</span>&#160; <span class="keywordtype">int</span> i1, </div><div class="line"><a name="l00967"></a><span class="lineno"> 967</span>&#160; <span class="keywordtype">double</span> w1</div><div class="line"><a name="l00968"></a><span class="lineno"> 968</span>&#160; );</div><div class="line"><a name="l00969"></a><span class="lineno"> 969</span>&#160;</div><div class="line"><a name="l00970"></a><span class="lineno"> 970</span>&#160;</div><div class="line"><a name="l00971"></a><span class="lineno"> 971</span>&#160;</div><div class="line"><a name="l00972"></a><span class="lineno"> 972</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00973"></a><span class="lineno"> 973</span>&#160;<span class="comment"> /////////////////////////////////////////////////////////////////</span></div><div class="line"><a name="l00974"></a><span class="lineno"> 974</span>&#160;<span class="comment"></span> <span class="comment">// Implementation</span></div><div class="line"><a name="l00975"></a><span class="lineno"> 975</span>&#160;public:</div><div class="line"><a name="l00976"></a><span class="lineno"> 976</span>&#160; <span class="comment">// NOTE: These members are left &quot;public&quot; so that expert users may efficiently</span></div><div class="line"><a name="l00977"></a><span class="lineno"> 977</span>&#160; <span class="comment">// create bezier curves using the default constructor and borrow the</span></div><div class="line"><a name="l00978"></a><span class="lineno"> 978</span>&#160; <span class="comment">// knot and CV arrays from their native NURBS representation.</span></div><div class="line"><a name="l00979"></a><span class="lineno"> 979</span>&#160; <span class="comment">// No technical support will be provided for users who access these</span></div><div class="line"><a name="l00980"></a><span class="lineno"> 980</span>&#160; <span class="comment">// members directly. If you can&#39;t get your stuff to work, then use</span></div><div class="line"><a name="l00981"></a><span class="lineno"> 981</span>&#160; <span class="comment">// the constructor with the arguments and the SetKnot() and SetCV()</span></div><div class="line"><a name="l00982"></a><span class="lineno"> 982</span>&#160; <span class="comment">// functions to fill in the arrays.</span></div><div class="line"><a name="l00983"></a><span class="lineno"> 983</span>&#160;</div><div class="line"><a name="l00984"></a><span class="lineno"> 984</span>&#160;</div><div class="line"><a name="l00985"></a><span class="lineno"> 985</span>&#160; <span class="comment">// dimension of bezier (&gt;=1)</span></div><div class="line"><a name="l00986"></a><span class="lineno"> 986</span>&#160; <span class="keywordtype">int</span> m_dim;</div><div class="line"><a name="l00987"></a><span class="lineno"> 987</span>&#160;</div><div class="line"><a name="l00988"></a><span class="lineno"> 988</span>&#160; <span class="comment">// 1 if bezier is rational, 0 if bezier is not rational</span></div><div class="line"><a name="l00989"></a><span class="lineno"> 989</span>&#160; <span class="keywordtype">int</span> m_is_rat;</div><div class="line"><a name="l00990"></a><span class="lineno"> 990</span>&#160;</div><div class="line"><a name="l00991"></a><span class="lineno"> 991</span>&#160; <span class="comment">// order = degree+1</span></div><div class="line"><a name="l00992"></a><span class="lineno"> 992</span>&#160; <span class="keywordtype">int</span> m_order;</div><div class="line"><a name="l00993"></a><span class="lineno"> 993</span>&#160;</div><div class="line"><a name="l00994"></a><span class="lineno"> 994</span>&#160; <span class="comment">// Number of doubles per cv ( &gt;= ((m_is_rat)?m_dim+1:m_dim) )</span></div><div class="line"><a name="l00995"></a><span class="lineno"> 995</span>&#160; <span class="keywordtype">int</span> m_cv_stride;</div><div class="line"><a name="l00996"></a><span class="lineno"> 996</span>&#160;</div><div class="line"><a name="l00997"></a><span class="lineno"> 997</span>&#160; <span class="comment">// The i-th cv begins at cv[i*m_cv_stride].</span></div><div class="line"><a name="l00998"></a><span class="lineno"> 998</span>&#160; <span class="keywordtype">double</span>* m_cv;</div><div class="line"><a name="l00999"></a><span class="lineno"> 999</span>&#160;</div><div class="line"><a name="l01000"></a><span class="lineno"> 1000</span>&#160; <span class="comment">// Number of doubles in m_cv array. If m_cv_capacity is zero</span></div><div class="line"><a name="l01001"></a><span class="lineno"> 1001</span>&#160; <span class="comment">// and m_cv is not nullptr, an expert user is managing the m_cv</span></div><div class="line"><a name="l01002"></a><span class="lineno"> 1002</span>&#160; <span class="comment">// memory. ~ON_BezierCurve will not deallocate m_cv unless</span></div><div class="line"><a name="l01003"></a><span class="lineno"> 1003</span>&#160; <span class="comment">// m_cv_capacity is greater than zero.</span></div><div class="line"><a name="l01004"></a><span class="lineno"> 1004</span>&#160; <span class="keywordtype">int</span> m_cv_capacity;</div><div class="line"><a name="l01005"></a><span class="lineno"> 1005</span>&#160;</div><div class="line"><a name="l01006"></a><span class="lineno"> 1006</span>&#160;<span class="preprocessor">#if 8 == ON_SIZEOF_POINTER</span></div><div class="line"><a name="l01007"></a><span class="lineno"> 1007</span>&#160; <span class="comment">// pad to a multiple of 8 bytes so custom allocators</span></div><div class="line"><a name="l01008"></a><span class="lineno"> 1008</span>&#160; <span class="comment">// will keep m_cv aligned and tail-padding reuse will</span></div><div class="line"><a name="l01009"></a><span class="lineno"> 1009</span>&#160; <span class="comment">// not be an issue.</span></div><div class="line"><a name="l01010"></a><span class="lineno"> 1010</span>&#160; <span class="keywordtype">int</span> m_reserved_ON_BezierCurve;</div><div class="line"><a name="l01011"></a><span class="lineno"> 1011</span>&#160;<span class="preprocessor">#endif</span></div><div class="line"><a name="l01012"></a><span class="lineno"> 1012</span>&#160;};</div><div class="line"><a name="l01013"></a><span class="lineno"> 1013</span>&#160;</div><div class="line"><a name="l01014"></a><span class="lineno"> 1014</span>&#160;</div><div class="line"><a name="l01015"></a><span class="lineno"> 1015</span>&#160;<span class="keyword">class </span>ON_CLASS <a class="code" href="../../d7/dc7/class_o_n___bezier_surface.html">ON_BezierSurface</a></div><div class="line"><a name="l01016"></a><span class="lineno"> 1016</span>&#160;{</div><div class="line"><a name="l01017"></a><span class="lineno"> 1017</span>&#160;<span class="keyword">public</span>:</div><div class="line"><a name="l01018"></a><span class="lineno"> 1018</span>&#160; <a class="code" href="../../d7/dc7/class_o_n___bezier_surface.html">ON_BezierSurface</a>();</div><div class="line"><a name="l01019"></a><span class="lineno"> 1019</span>&#160; <a class="code" href="../../d7/dc7/class_o_n___bezier_surface.html">ON_BezierSurface</a>(</div><div class="line"><a name="l01020"></a><span class="lineno"> 1020</span>&#160; <span class="keywordtype">int</span> dim,</div><div class="line"><a name="l01021"></a><span class="lineno"> 1021</span>&#160; <span class="keywordtype">bool</span> is_rat,</div><div class="line"><a name="l01022"></a><span class="lineno"> 1022</span>&#160; <span class="keywordtype">int</span> order0,</div><div class="line"><a name="l01023"></a><span class="lineno"> 1023</span>&#160; <span class="keywordtype">int</span> order1</div><div class="line"><a name="l01024"></a><span class="lineno"> 1024</span>&#160; );</div><div class="line"><a name="l01025"></a><span class="lineno"> 1025</span>&#160;</div><div class="line"><a name="l01026"></a><span class="lineno"> 1026</span>&#160; ~<a class="code" href="../../d7/dc7/class_o_n___bezier_surface.html">ON_BezierSurface</a>();</div><div class="line"><a name="l01027"></a><span class="lineno"> 1027</span>&#160; <a class="code" href="../../d7/dc7/class_o_n___bezier_surface.html">ON_BezierSurface</a>(<span class="keyword">const</span> <a class="code" href="../../d7/dc7/class_o_n___bezier_surface.html">ON_BezierSurface</a>&amp;);</div><div class="line"><a name="l01028"></a><span class="lineno"> 1028</span>&#160; <a class="code" href="../../d7/dc7/class_o_n___bezier_surface.html">ON_BezierSurface</a>(<span class="keyword">const</span> <a class="code" href="../../df/d4e/class_o_n___polynomial_surface.html">ON_PolynomialSurface</a>&amp;);</div><div class="line"><a name="l01029"></a><span class="lineno"> 1029</span>&#160; <a class="code" href="../../d7/dc7/class_o_n___bezier_surface.html">ON_BezierSurface</a>&amp; operator=(<span class="keyword">const</span> <a class="code" href="../../d7/dc7/class_o_n___bezier_surface.html">ON_BezierSurface</a>&amp;);</div><div class="line"><a name="l01030"></a><span class="lineno"> 1030</span>&#160; <a class="code" href="../../d7/dc7/class_o_n___bezier_surface.html">ON_BezierSurface</a>&amp; operator=(<span class="keyword">const</span> <a class="code" href="../../df/d4e/class_o_n___polynomial_surface.html">ON_PolynomialSurface</a>&amp;);</div><div class="line"><a name="l01031"></a><span class="lineno"> 1031</span>&#160;</div><div class="line"><a name="l01032"></a><span class="lineno"><a class="line" href="../../d9/d6f/class_o_n___bezier_curve.html#af642d39ca0ace27d454f58c683b65452"> 1032</a></span>&#160; <span class="keywordtype">bool</span> IsValid() <span class="keyword">const</span>;</div><div class="line"><a name="l01033"></a><span class="lineno"> 1033</span>&#160; <span class="keywordtype">void</span> Dump( <a class="code" href="../../d2/da3/class_o_n___text_log.html">ON_TextLog</a>&amp; ) <span class="keyword">const</span>; <span class="comment">// for debugging</span></div><div class="line"><a name="l01034"></a><span class="lineno"> 1034</span>&#160; <span class="keywordtype">int</span> Dimension() <span class="keyword">const</span>;</div><div class="line"><a name="l01035"></a><span class="lineno"><a class="line" href="../../d9/d6f/class_o_n___bezier_curve.html#a987b8c9b7eeefa9332c4af5d4eb040e6"> 1035</a></span>&#160;</div><div class="line"><a name="l01036"></a><span class="lineno"> 1036</span>&#160; <span class="keywordtype">bool</span> Create(</div><div class="line"><a name="l01037"></a><span class="lineno"> 1037</span>&#160; <span class="keywordtype">int</span> dim,</div><div class="line"><a name="l01038"></a><span class="lineno"><a class="line" href="../../d9/d6f/class_o_n___bezier_curve.html#aea3a891b29b89395cbe4282ef984a277"> 1038</a></span>&#160; <span class="keywordtype">bool</span> is_rat,</div><div class="line"><a name="l01039"></a><span class="lineno"> 1039</span>&#160; <span class="keywordtype">int</span> order0,</div><div class="line"><a name="l01040"></a><span class="lineno"> 1040</span>&#160; <span class="keywordtype">int</span> order1</div><div class="line"><a name="l01041"></a><span class="lineno"><a class="line" href="../../d9/d6f/class_o_n___bezier_curve.html#ab03ddace3cf79ec060a149a698b9a350"> 1041</a></span>&#160; );</div><div class="line"><a name="l01042"></a><span class="lineno"> 1042</span>&#160;</div><div class="line"><a name="l01043"></a><span class="lineno"> 1043</span>&#160; <span class="keywordtype">void</span> Destroy();</div><div class="line"><a name="l01044"></a><span class="lineno"><a class="line" href="../../d9/d6f/class_o_n___bezier_curve.html#ac7232e4c49c237539c487b94d7871d5a"> 1044</a></span>&#160; <span class="keywordtype">void</span> EmergencyDestroy(); <span class="comment">// call if memory used by ON_NurbsCurve becomes invalid</span></div><div class="line"><a name="l01045"></a><span class="lineno"> 1045</span>&#160;</div><div class="line"><a name="l01046"></a><span class="lineno"> 1046</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01047"></a><span class="lineno"> 1047</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l01048"></a><span class="lineno"> 1048</span>&#160;<span class="comment"> Loft a bezier surface through a list of bezier curves.</span></div><div class="line"><a name="l01049"></a><span class="lineno"> 1049</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l01050"></a><span class="lineno"><a class="line" href="../../d9/d6f/class_o_n___bezier_curve.html#aad7b699da1da038e8f397101cd869c9b"> 1050</a></span>&#160;<span class="comment"> curve_list - [in] list of curves that have the same degree.</span></div><div class="line"><a name="l01051"></a><span class="lineno"> 1051</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l01052"></a><span class="lineno"> 1052</span>&#160;<span class="comment"> True if successful.</span></div><div class="line"><a name="l01053"></a><span class="lineno"> 1053</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01054"></a><span class="lineno"> 1054</span>&#160; <span class="keywordtype">bool</span> Loft( <span class="keyword">const</span> <a class="code" href="../../dd/d40/class_o_n___class_array.html">ON_ClassArray&lt;ON_BezierCurve&gt;</a>&amp; curve_list );</div><div class="line"><a name="l01055"></a><span class="lineno"> 1055</span>&#160;</div><div class="line"><a name="l01056"></a><span class="lineno"> 1056</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01057"></a><span class="lineno"> 1057</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l01058"></a><span class="lineno"> 1058</span>&#160;<span class="comment"> Loft a bezier surface through a list of bezier curves.</span></div><div class="line"><a name="l01059"></a><span class="lineno"> 1059</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l01060"></a><span class="lineno"> 1060</span>&#160;<span class="comment"> curve_count - [in] number of curves in curve_list</span></div><div class="line"><a name="l01061"></a><span class="lineno"><a class="line" href="../../d7/dc7/class_o_n___bezier_surface.html"> 1061</a></span>&#160;<span class="comment"> curve_list - [in] array of pointers to curves that have the same degree.</span></div><div class="line"><a name="l01062"></a><span class="lineno"> 1062</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l01063"></a><span class="lineno"> 1063</span>&#160;<span class="comment"> True if successful.</span></div><div class="line"><a name="l01064"></a><span class="lineno"> 1064</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01065"></a><span class="lineno"> 1065</span>&#160; <span class="keywordtype">bool</span> Loft( </div><div class="line"><a name="l01066"></a><span class="lineno"> 1066</span>&#160; <span class="keywordtype">int</span> count, </div><div class="line"><a name="l01067"></a><span class="lineno"> 1067</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d9/d6f/class_o_n___bezier_curve.html">ON_BezierCurve</a>* <span class="keyword">const</span>* curve_list </div><div class="line"><a name="l01068"></a><span class="lineno"> 1068</span>&#160; );</div><div class="line"><a name="l01069"></a><span class="lineno"> 1069</span>&#160;</div><div class="line"><a name="l01070"></a><span class="lineno"> 1070</span>&#160; <span class="keywordtype">bool</span> GetBBox( <span class="comment">// returns true if successful</span></div><div class="line"><a name="l01071"></a><span class="lineno"> 1071</span>&#160; <span class="keywordtype">double</span>*, <span class="comment">// minimum</span></div><div class="line"><a name="l01072"></a><span class="lineno"> 1072</span>&#160; <span class="keywordtype">double</span>*, <span class="comment">// maximum</span></div><div class="line"><a name="l01073"></a><span class="lineno"> 1073</span>&#160; <span class="keywordtype">bool</span> bGrowBox = <span class="keyword">false</span> <span class="comment">// true means grow box</span></div><div class="line"><a name="l01074"></a><span class="lineno"> 1074</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l01075"></a><span class="lineno"> 1075</span>&#160;</div><div class="line"><a name="l01076"></a><span class="lineno"> 1076</span>&#160; <span class="keywordtype">bool</span> GetBoundingBox(</div><div class="line"><a name="l01077"></a><span class="lineno"> 1077</span>&#160; <a class="code" href="../../d1/d17/class_o_n___bounding_box.html">ON_BoundingBox</a>&amp; bbox,</div><div class="line"><a name="l01078"></a><span class="lineno"> 1078</span>&#160; <span class="keywordtype">int</span> bGrowBox</div><div class="line"><a name="l01079"></a><span class="lineno"> 1079</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l01080"></a><span class="lineno"> 1080</span>&#160;</div><div class="line"><a name="l01081"></a><span class="lineno"> 1081</span>&#160; <a class="code" href="../../d1/d17/class_o_n___bounding_box.html">ON_BoundingBox</a> BoundingBox() <span class="keyword">const</span>;</div><div class="line"><a name="l01082"></a><span class="lineno"> 1082</span>&#160;</div><div class="line"><a name="l01083"></a><span class="lineno"> 1083</span>&#160; <span class="keywordtype">bool</span> Transform( </div><div class="line"><a name="l01084"></a><span class="lineno"> 1084</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>&amp;</div><div class="line"><a name="l01085"></a><span class="lineno"> 1085</span>&#160; );</div><div class="line"><a name="l01086"></a><span class="lineno"> 1086</span>&#160;</div><div class="line"><a name="l01087"></a><span class="lineno"> 1087</span>&#160;</div><div class="line"><a name="l01088"></a><span class="lineno"> 1088</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l01089"></a><span class="lineno"> 1089</span>&#160; <span class="comment">// Rotates the bezier surface about the specified axis. A positive</span></div><div class="line"><a name="l01090"></a><span class="lineno"> 1090</span>&#160; <span class="comment">// rotation angle results in a counter-clockwise rotation</span></div><div class="line"><a name="l01091"></a><span class="lineno"> 1091</span>&#160; <span class="comment">// about the axis (right hand rule).</span></div><div class="line"><a name="l01092"></a><span class="lineno"> 1092</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l01093"></a><span class="lineno"> 1093</span>&#160; <span class="comment">// sin_angle - [in] sine of rotation angle</span></div><div class="line"><a name="l01094"></a><span class="lineno"> 1094</span>&#160; <span class="comment">// cos_angle - [in] sine of rotation angle</span></div><div class="line"><a name="l01095"></a><span class="lineno"> 1095</span>&#160; <span class="comment">// rotation_axis - [in] direction of the axis of rotation</span></div><div class="line"><a name="l01096"></a><span class="lineno"> 1096</span>&#160; <span class="comment">// rotation_center - [in] point on the axis of rotation</span></div><div class="line"><a name="l01097"></a><span class="lineno"> 1097</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l01098"></a><span class="lineno"> 1098</span>&#160; <span class="comment">// true if bezier surface successfully rotated</span></div><div class="line"><a name="l01099"></a><span class="lineno"> 1099</span>&#160; <span class="comment">// Remarks:</span></div><div class="line"><a name="l01100"></a><span class="lineno"> 1100</span>&#160; <span class="comment">// Uses ON_BezierSurface::Transform() function to calculate the result.</span></div><div class="line"><a name="l01101"></a><span class="lineno"> 1101</span>&#160; <span class="keywordtype">bool</span> Rotate(</div><div class="line"><a name="l01102"></a><span class="lineno"> 1102</span>&#160; <span class="keywordtype">double</span> sin_angle,</div><div class="line"><a name="l01103"></a><span class="lineno"> 1103</span>&#160; <span class="keywordtype">double</span> cos_angle,</div><div class="line"><a name="l01104"></a><span class="lineno"> 1104</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp; rotation_axis,</div><div class="line"><a name="l01105"></a><span class="lineno"> 1105</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&amp; rotation_center</div><div class="line"><a name="l01106"></a><span class="lineno"> 1106</span>&#160; );</div><div class="line"><a name="l01107"></a><span class="lineno"> 1107</span>&#160;</div><div class="line"><a name="l01108"></a><span class="lineno"> 1108</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l01109"></a><span class="lineno"> 1109</span>&#160; <span class="comment">// Rotates the bezier surface about the specified axis. A positive</span></div><div class="line"><a name="l01110"></a><span class="lineno"> 1110</span>&#160; <span class="comment">// rotation angle results in a counter-clockwise rotation</span></div><div class="line"><a name="l01111"></a><span class="lineno"> 1111</span>&#160; <span class="comment">// about the axis (right hand rule).</span></div><div class="line"><a name="l01112"></a><span class="lineno"> 1112</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l01113"></a><span class="lineno"> 1113</span>&#160; <span class="comment">// rotation_angle - [in] angle of rotation in radians</span></div><div class="line"><a name="l01114"></a><span class="lineno"> 1114</span>&#160; <span class="comment">// rotation_axis - [in] direction of the axis of rotation</span></div><div class="line"><a name="l01115"></a><span class="lineno"> 1115</span>&#160; <span class="comment">// rotation_center - [in] point on the axis of rotation</span></div><div class="line"><a name="l01116"></a><span class="lineno"> 1116</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l01117"></a><span class="lineno"> 1117</span>&#160; <span class="comment">// true if bezier surface successfully rotated</span></div><div class="line"><a name="l01118"></a><span class="lineno"> 1118</span>&#160; <span class="comment">// Remarks:</span></div><div class="line"><a name="l01119"></a><span class="lineno"> 1119</span>&#160; <span class="comment">// Uses ON_BezierSurface::Transform() function to calculate the result.</span></div><div class="line"><a name="l01120"></a><span class="lineno"> 1120</span>&#160; <span class="keywordtype">bool</span> Rotate(</div><div class="line"><a name="l01121"></a><span class="lineno"> 1121</span>&#160; <span class="keywordtype">double</span> rotation_angle,</div><div class="line"><a name="l01122"></a><span class="lineno"> 1122</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp; rotation_axis,</div><div class="line"><a name="l01123"></a><span class="lineno"> 1123</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&amp; rotation_center</div><div class="line"><a name="l01124"></a><span class="lineno"> 1124</span>&#160; );</div><div class="line"><a name="l01125"></a><span class="lineno"> 1125</span>&#160;</div><div class="line"><a name="l01126"></a><span class="lineno"> 1126</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l01127"></a><span class="lineno"> 1127</span>&#160; <span class="comment">// Translates the bezier surface along the specified vector.</span></div><div class="line"><a name="l01128"></a><span class="lineno"> 1128</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l01129"></a><span class="lineno"> 1129</span>&#160; <span class="comment">// translation_vector - [in] translation vector</span></div><div class="line"><a name="l01130"></a><span class="lineno"> 1130</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l01131"></a><span class="lineno"> 1131</span>&#160; <span class="comment">// true if bezier surface successfully translated</span></div><div class="line"><a name="l01132"></a><span class="lineno"> 1132</span>&#160; <span class="comment">// Remarks:</span></div><div class="line"><a name="l01133"></a><span class="lineno"> 1133</span>&#160; <span class="comment">// Uses ON_BezierSurface::Transform() function to calculate the result.</span></div><div class="line"><a name="l01134"></a><span class="lineno"> 1134</span>&#160; <span class="keywordtype">bool</span> Translate( </div><div class="line"><a name="l01135"></a><span class="lineno"> 1135</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp; translation_vector</div><div class="line"><a name="l01136"></a><span class="lineno"> 1136</span>&#160; );</div><div class="line"><a name="l01137"></a><span class="lineno"> 1137</span>&#160;</div><div class="line"><a name="l01138"></a><span class="lineno"> 1138</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l01139"></a><span class="lineno"> 1139</span>&#160; <span class="comment">// Scales the bezier surface by the specified facotor. The scale is</span></div><div class="line"><a name="l01140"></a><span class="lineno"> 1140</span>&#160; <span class="comment">// centered at the origin.</span></div><div class="line"><a name="l01141"></a><span class="lineno"> 1141</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l01142"></a><span class="lineno"> 1142</span>&#160; <span class="comment">// scale_factor - [in] scale factor</span></div><div class="line"><a name="l01143"></a><span class="lineno"> 1143</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l01144"></a><span class="lineno"> 1144</span>&#160; <span class="comment">// true if bezier surface successfully scaled</span></div><div class="line"><a name="l01145"></a><span class="lineno"> 1145</span>&#160; <span class="comment">// Remarks:</span></div><div class="line"><a name="l01146"></a><span class="lineno"> 1146</span>&#160; <span class="comment">// Uses ON_BezierSurface::Transform() function to calculate the result.</span></div><div class="line"><a name="l01147"></a><span class="lineno"> 1147</span>&#160; <span class="keywordtype">bool</span> Scale( </div><div class="line"><a name="l01148"></a><span class="lineno"> 1148</span>&#160; <span class="keywordtype">double</span> scale_factor</div><div class="line"><a name="l01149"></a><span class="lineno"> 1149</span>&#160; );</div><div class="line"><a name="l01150"></a><span class="lineno"> 1150</span>&#160;</div><div class="line"><a name="l01151"></a><span class="lineno"> 1151</span>&#160; <a class="code" href="../../dc/dc7/class_o_n___interval.html">ON_Interval</a> Domain(</div><div class="line"><a name="l01152"></a><span class="lineno"> 1152</span>&#160; <span class="keywordtype">int</span> <span class="comment">// 0 = &quot;u&quot; domain, 1 = &quot;v&quot; domain</span></div><div class="line"><a name="l01153"></a><span class="lineno"> 1153</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l01154"></a><span class="lineno"> 1154</span>&#160;</div><div class="line"><a name="l01155"></a><span class="lineno"> 1155</span>&#160; <span class="keywordtype">bool</span> Reverse( <span class="keywordtype">int</span> ); <span class="comment">// reverse parameterizatrion</span></div><div class="line"><a name="l01156"></a><span class="lineno"> 1156</span>&#160; <span class="comment">// Domain changes from [a,b] to [-b,-a]</span></div><div class="line"><a name="l01157"></a><span class="lineno"> 1157</span>&#160; </div><div class="line"><a name="l01158"></a><span class="lineno"> 1158</span>&#160; <span class="keywordtype">bool</span> Transpose(); <span class="comment">// transpose surface parameterization (swap &quot;s&quot; and &quot;t&quot;)</span></div><div class="line"><a name="l01159"></a><span class="lineno"> 1159</span>&#160;</div><div class="line"><a name="l01160"></a><span class="lineno"> 1160</span>&#160; <span class="keywordtype">bool</span> Evaluate( <span class="comment">// returns false if unable to evaluate</span></div><div class="line"><a name="l01161"></a><span class="lineno"> 1161</span>&#160; <span class="keywordtype">double</span>, <span class="keywordtype">double</span>, <span class="comment">// evaluation parameter</span></div><div class="line"><a name="l01162"></a><span class="lineno"> 1162</span>&#160; <span class="keywordtype">int</span>, <span class="comment">// number of derivatives (&gt;=0)</span></div><div class="line"><a name="l01163"></a><span class="lineno"> 1163</span>&#160; <span class="keywordtype">int</span>, <span class="comment">// array stride (&gt;=Dimension())</span></div><div class="line"><a name="l01164"></a><span class="lineno"> 1164</span>&#160; <span class="keywordtype">double</span>* <span class="comment">// array of length stride*(ndir+1)*(ndir+2)/2</span></div><div class="line"><a name="l01165"></a><span class="lineno"> 1165</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l01166"></a><span class="lineno"> 1166</span>&#160;</div><div class="line"><a name="l01167"></a><span class="lineno"> 1167</span>&#160; <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> PointAt(<span class="keywordtype">double</span> s, <span class="keywordtype">double</span> t) <span class="keyword">const</span>;</div><div class="line"><a name="l01168"></a><span class="lineno"> 1168</span>&#160;</div><div class="line"><a name="l01169"></a><span class="lineno"> 1169</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01170"></a><span class="lineno"> 1170</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l01171"></a><span class="lineno"> 1171</span>&#160;<span class="comment"> 0 = failure.</span></div><div class="line"><a name="l01172"></a><span class="lineno"> 1172</span>&#160;<span class="comment"> 1 = success.</span></div><div class="line"><a name="l01173"></a><span class="lineno"> 1173</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01174"></a><span class="lineno"> 1174</span>&#160; <span class="keywordtype">int</span> GetNurbForm( <a class="code" href="../../de/ddc/class_o_n___nurbs_surface.html">ON_NurbsSurface</a>&amp; ) <span class="keyword">const</span>;</div><div class="line"><a name="l01175"></a><span class="lineno"> 1175</span>&#160;</div><div class="line"><a name="l01176"></a><span class="lineno"> 1176</span>&#160; <span class="keywordtype">bool</span> IsRational() <span class="keyword">const</span>; <span class="comment">// true if NURBS curve is rational</span></div><div class="line"><a name="l01177"></a><span class="lineno"> 1177</span>&#160; </div><div class="line"><a name="l01178"></a><span class="lineno"> 1178</span>&#160; <span class="keywordtype">int</span> CVSize() <span class="keyword">const</span>; <span class="comment">// number of doubles per control vertex </span></div><div class="line"><a name="l01179"></a><span class="lineno"> 1179</span>&#160; <span class="comment">// = IsRational() ? Dim()+1 : Dim()</span></div><div class="line"><a name="l01180"></a><span class="lineno"> 1180</span>&#160; </div><div class="line"><a name="l01181"></a><span class="lineno"> 1181</span>&#160; <span class="keywordtype">int</span> Order( <span class="comment">// order = degree + 1</span></div><div class="line"><a name="l01182"></a><span class="lineno"> 1182</span>&#160; <span class="keywordtype">int</span> <span class="comment">// dir</span></div><div class="line"><a name="l01183"></a><span class="lineno"> 1183</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l01184"></a><span class="lineno"> 1184</span>&#160; </div><div class="line"><a name="l01185"></a><span class="lineno"> 1185</span>&#160; <span class="keywordtype">int</span> Degree( <span class="comment">// degree = order - 1</span></div><div class="line"><a name="l01186"></a><span class="lineno"> 1186</span>&#160; <span class="keywordtype">int</span> <span class="comment">// dir</span></div><div class="line"><a name="l01187"></a><span class="lineno"> 1187</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l01188"></a><span class="lineno"> 1188</span>&#160;</div><div class="line"><a name="l01189"></a><span class="lineno"> 1189</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01190"></a><span class="lineno"> 1190</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l01191"></a><span class="lineno"> 1191</span>&#160;<span class="comment"> Expert user function to get a pointer to control vertex</span></div><div class="line"><a name="l01192"></a><span class="lineno"> 1192</span>&#160;<span class="comment"> memory. If you are not an expert user, please use</span></div><div class="line"><a name="l01193"></a><span class="lineno"> 1193</span>&#160;<span class="comment"> ON_BezierSurface::GetCV( ON_3dPoint&amp; ) or </span></div><div class="line"><a name="l01194"></a><span class="lineno"> 1194</span>&#160;<span class="comment"> ON_BezierSurface::GetCV( ON_4dPoint&amp; ).</span></div><div class="line"><a name="l01195"></a><span class="lineno"> 1195</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l01196"></a><span class="lineno"> 1196</span>&#160;<span class="comment"> cv_index0 - [in] (0 &lt;= cv_index0 &lt; m_order[0])</span></div><div class="line"><a name="l01197"></a><span class="lineno"> 1197</span>&#160;<span class="comment"> cv_index1 - [in] (0 &lt;= cv_index1 &lt; m_order[1])</span></div><div class="line"><a name="l01198"></a><span class="lineno"> 1198</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l01199"></a><span class="lineno"> 1199</span>&#160;<span class="comment"> Pointer to control vertex.</span></div><div class="line"><a name="l01200"></a><span class="lineno"> 1200</span>&#160;<span class="comment"> Remarks:</span></div><div class="line"><a name="l01201"></a><span class="lineno"> 1201</span>&#160;<span class="comment"> If the Bezier surface is rational, the format of the </span></div><div class="line"><a name="l01202"></a><span class="lineno"> 1202</span>&#160;<span class="comment"> returned array is a homogeneos rational point with</span></div><div class="line"><a name="l01203"></a><span class="lineno"> 1203</span>&#160;<span class="comment"> length m_dim+1. If the Bezier surface is not rational, </span></div><div class="line"><a name="l01204"></a><span class="lineno"> 1204</span>&#160;<span class="comment"> the format of the returned array is a nonrational </span></div><div class="line"><a name="l01205"></a><span class="lineno"> 1205</span>&#160;<span class="comment"> euclidean point with length m_dim.</span></div><div class="line"><a name="l01206"></a><span class="lineno"> 1206</span>&#160;<span class="comment"> See Also</span></div><div class="line"><a name="l01207"></a><span class="lineno"> 1207</span>&#160;<span class="comment"> ON_BezierSurface::CVStyle</span></div><div class="line"><a name="l01208"></a><span class="lineno"> 1208</span>&#160;<span class="comment"> ON_BezierSurface::GetCV</span></div><div class="line"><a name="l01209"></a><span class="lineno"> 1209</span>&#160;<span class="comment"> ON_BezierSurface::Weight</span></div><div class="line"><a name="l01210"></a><span class="lineno"> 1210</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01211"></a><span class="lineno"> 1211</span>&#160; <span class="keywordtype">double</span>* CV(</div><div class="line"><a name="l01212"></a><span class="lineno"> 1212</span>&#160; <span class="keywordtype">int</span> cv_index0,</div><div class="line"><a name="l01213"></a><span class="lineno"> 1213</span>&#160; <span class="keywordtype">int</span> cv_index1</div><div class="line"><a name="l01214"></a><span class="lineno"> 1214</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l01215"></a><span class="lineno"> 1215</span>&#160;</div><div class="line"><a name="l01216"></a><span class="lineno"> 1216</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01217"></a><span class="lineno"> 1217</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l01218"></a><span class="lineno"> 1218</span>&#160;<span class="comment"> Returns the style of control vertices in the m_cv array.</span></div><div class="line"><a name="l01219"></a><span class="lineno"> 1219</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l01220"></a><span class="lineno"> 1220</span>&#160;<span class="comment"> @untitled table</span></div><div class="line"><a name="l01221"></a><span class="lineno"> 1221</span>&#160;<span class="comment"> ON::not_rational m_is_rat is false</span></div><div class="line"><a name="l01222"></a><span class="lineno"> 1222</span>&#160;<span class="comment"> ON::homogeneous_rational m_is_rat is true</span></div><div class="line"><a name="l01223"></a><span class="lineno"> 1223</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01224"></a><span class="lineno"> 1224</span>&#160; ON::point_style CVStyle() <span class="keyword">const</span>;</div><div class="line"><a name="l01225"></a><span class="lineno"> 1225</span>&#160;</div><div class="line"><a name="l01226"></a><span class="lineno"> 1226</span>&#160; <span class="keywordtype">double</span> Weight( <span class="comment">// get value of control vertex weight</span></div><div class="line"><a name="l01227"></a><span class="lineno"> 1227</span>&#160; <span class="keywordtype">int</span>,<span class="keywordtype">int</span> <span class="comment">// CV index ( &gt;= 0 and &lt; CVCount() )</span></div><div class="line"><a name="l01228"></a><span class="lineno"> 1228</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l01229"></a><span class="lineno"> 1229</span>&#160;</div><div class="line"><a name="l01230"></a><span class="lineno"> 1230</span>&#160; <span class="keywordtype">bool</span> SetWeight( <span class="comment">// set value of control vertex weight</span></div><div class="line"><a name="l01231"></a><span class="lineno"> 1231</span>&#160; <span class="keywordtype">int</span>,<span class="keywordtype">int</span>, <span class="comment">// CV index ( &gt;= 0 and &lt; CVCount() )</span></div><div class="line"><a name="l01232"></a><span class="lineno"> 1232</span>&#160; <span class="keywordtype">double</span></div><div class="line"><a name="l01233"></a><span class="lineno"> 1233</span>&#160; );</div><div class="line"><a name="l01234"></a><span class="lineno"> 1234</span>&#160;</div><div class="line"><a name="l01235"></a><span class="lineno"> 1235</span>&#160; <span class="keywordtype">bool</span> SetCV( <span class="comment">// set a single control vertex</span></div><div class="line"><a name="l01236"></a><span class="lineno"> 1236</span>&#160; <span class="keywordtype">int</span>,<span class="keywordtype">int</span>, <span class="comment">// CV index ( &gt;= 0 and &lt; CVCount() )</span></div><div class="line"><a name="l01237"></a><span class="lineno"> 1237</span>&#160; ON::point_style, <span class="comment">// style of input point</span></div><div class="line"><a name="l01238"></a><span class="lineno"> 1238</span>&#160; <span class="keyword">const</span> <span class="keywordtype">double</span>* <span class="comment">// value of control vertex</span></div><div class="line"><a name="l01239"></a><span class="lineno"> 1239</span>&#160; );</div><div class="line"><a name="l01240"></a><span class="lineno"> 1240</span>&#160;</div><div class="line"><a name="l01241"></a><span class="lineno"> 1241</span>&#160; <span class="keywordtype">bool</span> SetCV( <span class="comment">// set a single control vertex</span></div><div class="line"><a name="l01242"></a><span class="lineno"> 1242</span>&#160; <span class="keywordtype">int</span>,<span class="keywordtype">int</span>, <span class="comment">// CV index ( &gt;= 0 and &lt; CVCount() )</span></div><div class="line"><a name="l01243"></a><span class="lineno"> 1243</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&amp; <span class="comment">// value of control vertex</span></div><div class="line"><a name="l01244"></a><span class="lineno"> 1244</span>&#160; <span class="comment">// If NURBS is rational, weight</span></div><div class="line"><a name="l01245"></a><span class="lineno"> 1245</span>&#160; <span class="comment">// will be set to 1.</span></div><div class="line"><a name="l01246"></a><span class="lineno"> 1246</span>&#160; );</div><div class="line"><a name="l01247"></a><span class="lineno"> 1247</span>&#160;</div><div class="line"><a name="l01248"></a><span class="lineno"> 1248</span>&#160; <span class="keywordtype">bool</span> SetCV( <span class="comment">// set a single control vertex</span></div><div class="line"><a name="l01249"></a><span class="lineno"> 1249</span>&#160; <span class="keywordtype">int</span>,<span class="keywordtype">int</span>, <span class="comment">// CV index ( &gt;= 0 and &lt; CVCount() )</span></div><div class="line"><a name="l01250"></a><span class="lineno"> 1250</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d9/db1/class_o_n__4d_point.html">ON_4dPoint</a>&amp; <span class="comment">// value of control vertex</span></div><div class="line"><a name="l01251"></a><span class="lineno"> 1251</span>&#160; <span class="comment">// If NURBS is not rational, euclidean</span></div><div class="line"><a name="l01252"></a><span class="lineno"> 1252</span>&#160; <span class="comment">// location of homogeneous point will</span></div><div class="line"><a name="l01253"></a><span class="lineno"> 1253</span>&#160; <span class="comment">// be used.</span></div><div class="line"><a name="l01254"></a><span class="lineno"> 1254</span>&#160; );</div><div class="line"><a name="l01255"></a><span class="lineno"> 1255</span>&#160;</div><div class="line"><a name="l01256"></a><span class="lineno"> 1256</span>&#160; <span class="keywordtype">bool</span> GetCV( <span class="comment">// get a single control vertex</span></div><div class="line"><a name="l01257"></a><span class="lineno"> 1257</span>&#160; <span class="keywordtype">int</span>,<span class="keywordtype">int</span>, <span class="comment">// CV index ( &gt;= 0 and &lt; CVCount() )</span></div><div class="line"><a name="l01258"></a><span class="lineno"> 1258</span>&#160; ON::point_style, <span class="comment">// style to use for output point</span></div><div class="line"><a name="l01259"></a><span class="lineno"> 1259</span>&#160; <span class="keywordtype">double</span>* <span class="comment">// array of length &gt;= CVSize()</span></div><div class="line"><a name="l01260"></a><span class="lineno"> 1260</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l01261"></a><span class="lineno"> 1261</span>&#160;</div><div class="line"><a name="l01262"></a><span class="lineno"> 1262</span>&#160; <span class="keywordtype">bool</span> GetCV( <span class="comment">// get a single control vertex</span></div><div class="line"><a name="l01263"></a><span class="lineno"> 1263</span>&#160; <span class="keywordtype">int</span>,<span class="keywordtype">int</span>, <span class="comment">// CV index ( &gt;= 0 and &lt; CVCount() )</span></div><div class="line"><a name="l01264"></a><span class="lineno"> 1264</span>&#160; <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&amp; <span class="comment">// gets euclidean cv when NURBS is rational</span></div><div class="line"><a name="l01265"></a><span class="lineno"> 1265</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l01266"></a><span class="lineno"> 1266</span>&#160;</div><div class="line"><a name="l01267"></a><span class="lineno"> 1267</span>&#160; <span class="keywordtype">bool</span> GetCV( <span class="comment">// get a single control vertex</span></div><div class="line"><a name="l01268"></a><span class="lineno"> 1268</span>&#160; <span class="keywordtype">int</span>,<span class="keywordtype">int</span>, <span class="comment">// CV index ( &gt;= 0 and &lt; CVCount() )</span></div><div class="line"><a name="l01269"></a><span class="lineno"> 1269</span>&#160; <a class="code" href="../../d9/db1/class_o_n__4d_point.html">ON_4dPoint</a>&amp; <span class="comment">// gets homogeneous cv</span></div><div class="line"><a name="l01270"></a><span class="lineno"> 1270</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l01271"></a><span class="lineno"> 1271</span>&#160;</div><div class="line"><a name="l01272"></a><span class="lineno"> 1272</span>&#160; <span class="keywordtype">bool</span> ZeroCVs(); <span class="comment">// zeros control vertices and, if rational, sets weights to 1</span></div><div class="line"><a name="l01273"></a><span class="lineno"> 1273</span>&#160;</div><div class="line"><a name="l01274"></a><span class="lineno"> 1274</span>&#160; <span class="keywordtype">bool</span> MakeRational();</div><div class="line"><a name="l01275"></a><span class="lineno"> 1275</span>&#160;</div><div class="line"><a name="l01276"></a><span class="lineno"> 1276</span>&#160; <span class="keywordtype">bool</span> MakeNonRational();</div><div class="line"><a name="l01277"></a><span class="lineno"> 1277</span>&#160;</div><div class="line"><a name="l01278"></a><span class="lineno"> 1278</span>&#160; <span class="keywordtype">bool</span> Split( </div><div class="line"><a name="l01279"></a><span class="lineno"> 1279</span>&#160; <span class="keywordtype">int</span>, <span class="comment">// 0 split at &quot;u&quot;=t, 1= split at &quot;v&quot;=t</span></div><div class="line"><a name="l01280"></a><span class="lineno"> 1280</span>&#160; <span class="keywordtype">double</span>, <span class="comment">// t = splitting parameter must 0 &lt; t &lt; 1</span></div><div class="line"><a name="l01281"></a><span class="lineno"> 1281</span>&#160; <a class="code" href="../../d7/dc7/class_o_n___bezier_surface.html">ON_BezierSurface</a>&amp;, <span class="comment">// west/south side returned here (can pass *this)</span></div><div class="line"><a name="l01282"></a><span class="lineno"> 1282</span>&#160; <a class="code" href="../../d7/dc7/class_o_n___bezier_surface.html">ON_BezierSurface</a>&amp; <span class="comment">// east/north side returned here (can pass *this)</span></div><div class="line"><a name="l01283"></a><span class="lineno"> 1283</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l01284"></a><span class="lineno"> 1284</span>&#160;</div><div class="line"><a name="l01285"></a><span class="lineno"> 1285</span>&#160; <span class="keywordtype">bool</span> Trim(</div><div class="line"><a name="l01286"></a><span class="lineno"> 1286</span>&#160; <span class="keywordtype">int</span> dir,</div><div class="line"><a name="l01287"></a><span class="lineno"> 1287</span>&#160; <span class="keyword">const</span> <a class="code" href="../../dc/dc7/class_o_n___interval.html">ON_Interval</a>&amp; domain</div><div class="line"><a name="l01288"></a><span class="lineno"> 1288</span>&#160; );</div><div class="line"><a name="l01289"></a><span class="lineno"> 1289</span>&#160;</div><div class="line"><a name="l01290"></a><span class="lineno"> 1290</span>&#160; <span class="comment">// returns the isocurve. </span></div><div class="line"><a name="l01291"></a><span class="lineno"> 1291</span>&#160; <a class="code" href="../../d9/d6f/class_o_n___bezier_curve.html">ON_BezierCurve</a>* IsoCurve(</div><div class="line"><a name="l01292"></a><span class="lineno"> 1292</span>&#160; <span class="keywordtype">int</span> dir, <span class="comment">// 0 first parameter varies and second parameter is constant</span></div><div class="line"><a name="l01293"></a><span class="lineno"> 1293</span>&#160; <span class="comment">// e.g., point on IsoCurve(0,c) at t is srf(t,c)</span></div><div class="line"><a name="l01294"></a><span class="lineno"> 1294</span>&#160; <span class="comment">// 1 first parameter is constant and second parameter varies</span></div><div class="line"><a name="l01295"></a><span class="lineno"> 1295</span>&#160; <span class="comment">// e.g., point on IsoCurve(1,c) at t is srf(c,t)</span></div><div class="line"><a name="l01296"></a><span class="lineno"> 1296</span>&#160; <span class="keywordtype">double</span> c, <span class="comment">// value of constant parameter</span></div><div class="line"><a name="l01297"></a><span class="lineno"> 1297</span>&#160; <a class="code" href="../../d9/d6f/class_o_n___bezier_curve.html">ON_BezierCurve</a>* iso=<span class="keyword">nullptr</span> <span class="comment">// When nullptr result is constructed on the heap.</span></div><div class="line"><a name="l01298"></a><span class="lineno"> 1298</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l01299"></a><span class="lineno"> 1299</span>&#160;</div><div class="line"><a name="l01300"></a><span class="lineno"> 1300</span>&#160; <span class="keywordtype">bool</span> IsSingular( <span class="comment">// true if surface side is collapsed to a point</span></div><div class="line"><a name="l01301"></a><span class="lineno"> 1301</span>&#160; <span class="keywordtype">int</span> <span class="comment">// side of parameter space to test</span></div><div class="line"><a name="l01302"></a><span class="lineno"> 1302</span>&#160; <span class="comment">// 0 = south, 1 = east, 2 = north, 3 = west</span></div><div class="line"><a name="l01303"></a><span class="lineno"> 1303</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l01304"></a><span class="lineno"> 1304</span>&#160; </div><div class="line"><a name="l01305"></a><span class="lineno"> 1305</span>&#160;<span class="comment"></span></div><div class="line"><a name="l01306"></a><span class="lineno"> 1306</span>&#160;<span class="comment"> /////////////////////////////////////////////////////////////////</span></div><div class="line"><a name="l01307"></a><span class="lineno"> 1307</span>&#160;<span class="comment"></span> <span class="comment">// Tools for managing CV and knot memory</span></div><div class="line"><a name="l01308"></a><span class="lineno"> 1308</span>&#160; <span class="keywordtype">bool</span> ReserveCVCapacity(</div><div class="line"><a name="l01309"></a><span class="lineno"> 1309</span>&#160; <span class="keywordtype">int</span> <span class="comment">// number of doubles to reserve</span></div><div class="line"><a name="l01310"></a><span class="lineno"> 1310</span>&#160; );</div><div class="line"><a name="l01311"></a><span class="lineno"> 1311</span>&#160;</div><div class="line"><a name="l01312"></a><span class="lineno"> 1312</span>&#160;</div><div class="line"><a name="l01313"></a><span class="lineno"> 1313</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01314"></a><span class="lineno"> 1314</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l01315"></a><span class="lineno"> 1315</span>&#160;<span class="comment"> Get an estimate of the size of the rectangle that would</span></div><div class="line"><a name="l01316"></a><span class="lineno"> 1316</span>&#160;<span class="comment"> be created if the 3d surface where flattened into a rectangle.</span></div><div class="line"><a name="l01317"></a><span class="lineno"> 1317</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l01318"></a><span class="lineno"> 1318</span>&#160;<span class="comment"> width - [out] (corresponds to the first surface parameter)</span></div><div class="line"><a name="l01319"></a><span class="lineno"> 1319</span>&#160;<span class="comment"> height - [out] (corresponds to the first surface parameter)</span></div><div class="line"><a name="l01320"></a><span class="lineno"> 1320</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l01321"></a><span class="lineno"> 1321</span>&#160;<span class="comment"> true if successful.</span></div><div class="line"><a name="l01322"></a><span class="lineno"> 1322</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01323"></a><span class="lineno"> 1323</span>&#160; <span class="keywordtype">bool</span> GetSurfaceSize(<span class="keywordtype">double</span>* width, <span class="keywordtype">double</span>* height) <span class="keyword">const</span>;</div><div class="line"><a name="l01324"></a><span class="lineno"> 1324</span>&#160;<span class="comment"></span></div><div class="line"><a name="l01325"></a><span class="lineno"> 1325</span>&#160;<span class="comment"> /////////////////////////////////////////////////////////////////</span></div><div class="line"><a name="l01326"></a><span class="lineno"> 1326</span>&#160;<span class="comment"></span> <span class="comment">// Implementation</span></div><div class="line"><a name="l01327"></a><span class="lineno"> 1327</span>&#160;<span class="keyword">public</span>:</div><div class="line"><a name="l01328"></a><span class="lineno"> 1328</span>&#160; <span class="comment">// NOTE: These members are left &quot;public&quot; so that expert users may efficiently</span></div><div class="line"><a name="l01329"></a><span class="lineno"> 1329</span>&#160; <span class="comment">// create bezier curves using the default constructor and borrow the</span></div><div class="line"><a name="l01330"></a><span class="lineno"> 1330</span>&#160; <span class="comment">// knot and CV arrays from their native NURBS representation.</span></div><div class="line"><a name="l01331"></a><span class="lineno"> 1331</span>&#160; <span class="comment">// No technical support will be provided for users who access these</span></div><div class="line"><a name="l01332"></a><span class="lineno"> 1332</span>&#160; <span class="comment">// members directly. If you can&#39;t get your stuff to work, then use</span></div><div class="line"><a name="l01333"></a><span class="lineno"> 1333</span>&#160; <span class="comment">// the constructor with the arguments and the SetKnot() and SetCV()</span></div><div class="line"><a name="l01334"></a><span class="lineno"> 1334</span>&#160; <span class="comment">// functions to fill in the arrays.</span></div><div class="line"><a name="l01335"></a><span class="lineno"> 1335</span>&#160;</div><div class="line"><a name="l01336"></a><span class="lineno"> 1336</span>&#160;</div><div class="line"><a name="l01337"></a><span class="lineno"> 1337</span>&#160; <span class="keywordtype">int</span> m_dim; <span class="comment">// &gt;= 1</span></div><div class="line"><a name="l01338"></a><span class="lineno"> 1338</span>&#160; <span class="keywordtype">int</span> m_is_rat; <span class="comment">// 0 = no, 1 = yes</span></div><div class="line"><a name="l01339"></a><span class="lineno"> 1339</span>&#160; <span class="keywordtype">int</span> m_order[2]; <span class="comment">// order = degree+1 &gt;= 2</span></div><div class="line"><a name="l01340"></a><span class="lineno"> 1340</span>&#160; <span class="keywordtype">int</span> m_cv_stride[2]; </div><div class="line"><a name="l01341"></a><span class="lineno"> 1341</span>&#160; <span class="keywordtype">double</span>* m_cv;</div><div class="line"><a name="l01342"></a><span class="lineno"> 1342</span>&#160; <span class="keywordtype">int</span> m_cv_capacity; <span class="comment">// if 0, then destructor does not free m_cv</span></div><div class="line"><a name="l01343"></a><span class="lineno"> 1343</span>&#160;<span class="preprocessor">#if 8 == ON_SIZEOF_POINTER</span></div><div class="line"><a name="l01344"></a><span class="lineno"> 1344</span>&#160; <span class="comment">// pad to a multiple of 8 bytes so custom allocators</span></div><div class="line"><a name="l01345"></a><span class="lineno"> 1345</span>&#160; <span class="comment">// will keep m_cv aligned and tail-padding reuse will</span></div><div class="line"><a name="l01346"></a><span class="lineno"> 1346</span>&#160; <span class="comment">// not be an issue.</span></div><div class="line"><a name="l01347"></a><span class="lineno"> 1347</span>&#160; <span class="keywordtype">int</span> m_reserved_ON_BezierSurface;</div><div class="line"><a name="l01348"></a><span class="lineno"> 1348</span>&#160;<span class="preprocessor">#endif</span></div><div class="line"><a name="l01349"></a><span class="lineno"> 1349</span>&#160;};</div><div class="line"><a name="l01350"></a><span class="lineno"> 1350</span>&#160;</div><div class="line"><a name="l01351"></a><span class="lineno"> 1351</span>&#160;</div><div class="line"><a name="l01352"></a><span class="lineno"> 1352</span>&#160;</div><div class="line"><a name="l01353"></a><span class="lineno"> 1353</span>&#160;</div><div class="line"><a name="l01354"></a><span class="lineno"> 1354</span>&#160;<span class="keyword">class </span>ON_CLASS <a class="code" href="../../d6/d81/class_o_n___bezier_cage.html">ON_BezierCage</a></div><div class="line"><a name="l01355"></a><span class="lineno"> 1355</span>&#160;{</div><div class="line"><a name="l01356"></a><span class="lineno"> 1356</span>&#160;<span class="keyword">public</span>:</div><div class="line"><a name="l01357"></a><span class="lineno"> 1357</span>&#160; <a class="code" href="../../d6/d81/class_o_n___bezier_cage.html">ON_BezierCage</a>();</div><div class="line"><a name="l01358"></a><span class="lineno"> 1358</span>&#160;</div><div class="line"><a name="l01359"></a><span class="lineno"> 1359</span>&#160; <a class="code" href="../../d6/d81/class_o_n___bezier_cage.html">ON_BezierCage</a>(</div><div class="line"><a name="l01360"></a><span class="lineno"> 1360</span>&#160; <span class="keywordtype">int</span> dim,</div><div class="line"><a name="l01361"></a><span class="lineno"> 1361</span>&#160; <span class="keywordtype">bool</span> is_rat,</div><div class="line"><a name="l01362"></a><span class="lineno"> 1362</span>&#160; <span class="keywordtype">int</span> order0,</div><div class="line"><a name="l01363"></a><span class="lineno"> 1363</span>&#160; <span class="keywordtype">int</span> order1,</div><div class="line"><a name="l01364"></a><span class="lineno"> 1364</span>&#160; <span class="keywordtype">int</span> order2</div><div class="line"><a name="l01365"></a><span class="lineno"> 1365</span>&#160; );</div><div class="line"><a name="l01366"></a><span class="lineno"> 1366</span>&#160;</div><div class="line"><a name="l01367"></a><span class="lineno"> 1367</span>&#160;</div><div class="line"><a name="l01368"></a><span class="lineno"> 1368</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01369"></a><span class="lineno"> 1369</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l01370"></a><span class="lineno"> 1370</span>&#160;<span class="comment"> Construct a bezier volume that maps the unit cube</span></div><div class="line"><a name="l01371"></a><span class="lineno"> 1371</span>&#160;<span class="comment"> to a bounding box.</span></div><div class="line"><a name="l01372"></a><span class="lineno"> 1372</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l01373"></a><span class="lineno"> 1373</span>&#160;<span class="comment"> bbox - [in] target bounding box</span></div><div class="line"><a name="l01374"></a><span class="lineno"> 1374</span>&#160;<span class="comment"> order0 - [in]</span></div><div class="line"><a name="l01375"></a><span class="lineno"> 1375</span>&#160;<span class="comment"> order1 - [in]</span></div><div class="line"><a name="l01376"></a><span class="lineno"> 1376</span>&#160;<span class="comment"> order2 - [in]</span></div><div class="line"><a name="l01377"></a><span class="lineno"> 1377</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01378"></a><span class="lineno"> 1378</span>&#160; <a class="code" href="../../d6/d81/class_o_n___bezier_cage.html">ON_BezierCage</a>( </div><div class="line"><a name="l01379"></a><span class="lineno"> 1379</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d1/d17/class_o_n___bounding_box.html">ON_BoundingBox</a>&amp; bbox,</div><div class="line"><a name="l01380"></a><span class="lineno"> 1380</span>&#160; <span class="keywordtype">int</span> order0,</div><div class="line"><a name="l01381"></a><span class="lineno"> 1381</span>&#160; <span class="keywordtype">int</span> order1,</div><div class="line"><a name="l01382"></a><span class="lineno"> 1382</span>&#160; <span class="keywordtype">int</span> order2</div><div class="line"><a name="l01383"></a><span class="lineno"> 1383</span>&#160; );</div><div class="line"><a name="l01384"></a><span class="lineno"> 1384</span>&#160;</div><div class="line"><a name="l01385"></a><span class="lineno"> 1385</span>&#160;</div><div class="line"><a name="l01386"></a><span class="lineno"> 1386</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01387"></a><span class="lineno"><a class="line" href="../../d7/dc7/class_o_n___bezier_surface.html#a48a2a427bf131a2da238a1065ca611d5"> 1387</a></span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l01388"></a><span class="lineno"><a class="line" href="../../d7/dc7/class_o_n___bezier_surface.html#ad53375afe6af6eed0e298fef3b68ea27"> 1388</a></span>&#160;<span class="comment"> Construct a bezier volume that maps the unit cube</span></div><div class="line"><a name="l01389"></a><span class="lineno"><a class="line" href="../../d7/dc7/class_o_n___bezier_surface.html#a7d5abf05e09ad181c3d314045dccd90b"> 1389</a></span>&#160;<span class="comment"> to an eight sided box.</span></div><div class="line"><a name="l01390"></a><span class="lineno"><a class="line" href="../../d7/dc7/class_o_n___bezier_surface.html#a14b7c088eac56a3dedc8552da1866947"> 1390</a></span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l01391"></a><span class="lineno"><a class="line" href="../../d7/dc7/class_o_n___bezier_surface.html#a41bcbdd323727d69e9ce52d115fe6717"> 1391</a></span>&#160;<span class="comment"> box_corners - [in] 8 points that define corners of the</span></div><div class="line"><a name="l01392"></a><span class="lineno"><a class="line" href="../../d7/dc7/class_o_n___bezier_surface.html#a56f855c349fbb333ff2ce8db54465a8b"> 1392</a></span>&#160;<span class="comment"> target volume.</span></div><div class="line"><a name="l01393"></a><span class="lineno"> 1393</span>&#160;<span class="comment"></span></div><div class="line"><a name="l01394"></a><span class="lineno"> 1394</span>&#160;<span class="comment"> 7______________6</span></div><div class="line"><a name="l01395"></a><span class="lineno"> 1395</span>&#160;<span class="comment"> |\ |\</span></div><div class="line"><a name="l01396"></a><span class="lineno"> 1396</span>&#160;<span class="comment"> | \ | \</span></div><div class="line"><a name="l01397"></a><span class="lineno"> 1397</span>&#160;<span class="comment"> | \ _____________\</span></div><div class="line"><a name="l01398"></a><span class="lineno"> 1398</span>&#160;<span class="comment"> | 4 | 5</span></div><div class="line"><a name="l01399"></a><span class="lineno"> 1399</span>&#160;<span class="comment"> | | | |</span></div><div class="line"><a name="l01400"></a><span class="lineno"> 1400</span>&#160;<span class="comment"> | | | |</span></div><div class="line"><a name="l01401"></a><span class="lineno"> 1401</span>&#160;<span class="comment"> 3---|----------2 |</span></div><div class="line"><a name="l01402"></a><span class="lineno"> 1402</span>&#160;<span class="comment"> \ | \ |</span></div><div class="line"><a name="l01403"></a><span class="lineno"> 1403</span>&#160;<span class="comment"> \ |t \ |</span></div><div class="line"><a name="l01404"></a><span class="lineno"><a class="line" href="../../d6/d81/class_o_n___bezier_cage.html"> 1404</a></span>&#160;<span class="comment"> s \ | \ |</span></div><div class="line"><a name="l01405"></a><span class="lineno"> 1405</span>&#160;<span class="comment"> \0_____________\1</span></div><div class="line"><a name="l01406"></a><span class="lineno"> 1406</span>&#160;<span class="comment"> r</span></div><div class="line"><a name="l01407"></a><span class="lineno"> 1407</span>&#160;<span class="comment"></span></div><div class="line"><a name="l01408"></a><span class="lineno"> 1408</span>&#160;<span class="comment"> order0 - [in]</span></div><div class="line"><a name="l01409"></a><span class="lineno"> 1409</span>&#160;<span class="comment"> order1 - [in]</span></div><div class="line"><a name="l01410"></a><span class="lineno"> 1410</span>&#160;<span class="comment"> order2 - [in]</span></div><div class="line"><a name="l01411"></a><span class="lineno"> 1411</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01412"></a><span class="lineno"> 1412</span>&#160; <a class="code" href="../../d6/d81/class_o_n___bezier_cage.html">ON_BezierCage</a>( </div><div class="line"><a name="l01413"></a><span class="lineno"> 1413</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>* box_corners,</div><div class="line"><a name="l01414"></a><span class="lineno"> 1414</span>&#160; <span class="keywordtype">int</span> order0,</div><div class="line"><a name="l01415"></a><span class="lineno"> 1415</span>&#160; <span class="keywordtype">int</span> order1,</div><div class="line"><a name="l01416"></a><span class="lineno"> 1416</span>&#160; <span class="keywordtype">int</span> order2</div><div class="line"><a name="l01417"></a><span class="lineno"> 1417</span>&#160; );</div><div class="line"><a name="l01418"></a><span class="lineno"> 1418</span>&#160;</div><div class="line"><a name="l01419"></a><span class="lineno"> 1419</span>&#160; ~<a class="code" href="../../d6/d81/class_o_n___bezier_cage.html">ON_BezierCage</a>();</div><div class="line"><a name="l01420"></a><span class="lineno"> 1420</span>&#160;</div><div class="line"><a name="l01421"></a><span class="lineno"> 1421</span>&#160; <a class="code" href="../../d6/d81/class_o_n___bezier_cage.html">ON_BezierCage</a>(<span class="keyword">const</span> <a class="code" href="../../d6/d81/class_o_n___bezier_cage.html">ON_BezierCage</a>&amp; src);</div><div class="line"><a name="l01422"></a><span class="lineno"> 1422</span>&#160;</div><div class="line"><a name="l01423"></a><span class="lineno"> 1423</span>&#160; <a class="code" href="../../d6/d81/class_o_n___bezier_cage.html">ON_BezierCage</a>&amp; operator=(<span class="keyword">const</span> <a class="code" href="../../d6/d81/class_o_n___bezier_cage.html">ON_BezierCage</a>&amp; src);</div><div class="line"><a name="l01424"></a><span class="lineno"> 1424</span>&#160;</div><div class="line"><a name="l01425"></a><span class="lineno"> 1425</span>&#160;</div><div class="line"><a name="l01426"></a><span class="lineno"> 1426</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01427"></a><span class="lineno"> 1427</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l01428"></a><span class="lineno"> 1428</span>&#160;<span class="comment"> Tests class to make sure members are correctly initialized.</span></div><div class="line"><a name="l01429"></a><span class="lineno"> 1429</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l01430"></a><span class="lineno"> 1430</span>&#160;<span class="comment"> True if the orders are all &gt;= 2, dimension is positive,</span></div><div class="line"><a name="l01431"></a><span class="lineno"> 1431</span>&#160;<span class="comment"> and the rest of the members have settings that are</span></div><div class="line"><a name="l01432"></a><span class="lineno"> 1432</span>&#160;<span class="comment"> valid for the orders and dimension.</span></div><div class="line"><a name="l01433"></a><span class="lineno"> 1433</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01434"></a><span class="lineno"> 1434</span>&#160; <span class="keywordtype">bool</span> IsValid() <span class="keyword">const</span>;</div><div class="line"><a name="l01435"></a><span class="lineno"> 1435</span>&#160;</div><div class="line"><a name="l01436"></a><span class="lineno"> 1436</span>&#160; <span class="keywordtype">void</span> Dump( <a class="code" href="../../d2/da3/class_o_n___text_log.html">ON_TextLog</a>&amp; text_log) <span class="keyword">const</span>;</div><div class="line"><a name="l01437"></a><span class="lineno"> 1437</span>&#160;</div><div class="line"><a name="l01438"></a><span class="lineno"> 1438</span>&#160;</div><div class="line"><a name="l01439"></a><span class="lineno"> 1439</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01440"></a><span class="lineno"> 1440</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l01441"></a><span class="lineno"> 1441</span>&#160;<span class="comment"> The dimension of the image of the bazier volume map.</span></div><div class="line"><a name="l01442"></a><span class="lineno"> 1442</span>&#160;<span class="comment"> This is generally three, but can be any positive</span></div><div class="line"><a name="l01443"></a><span class="lineno"> 1443</span>&#160;<span class="comment"> integer.</span></div><div class="line"><a name="l01444"></a><span class="lineno"> 1444</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l01445"></a><span class="lineno"> 1445</span>&#160;<span class="comment"> Dimesion of the image space.</span></div><div class="line"><a name="l01446"></a><span class="lineno"> 1446</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01447"></a><span class="lineno"> 1447</span>&#160; <span class="keywordtype">int</span> Dimension() <span class="keyword">const</span>;</div><div class="line"><a name="l01448"></a><span class="lineno"> 1448</span>&#160;</div><div class="line"><a name="l01449"></a><span class="lineno"> 1449</span>&#160;</div><div class="line"><a name="l01450"></a><span class="lineno"> 1450</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01451"></a><span class="lineno"> 1451</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l01452"></a><span class="lineno"> 1452</span>&#160;<span class="comment"> Creates a bezier volume with specified orders.</span></div><div class="line"><a name="l01453"></a><span class="lineno"> 1453</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l01454"></a><span class="lineno"> 1454</span>&#160;<span class="comment"> dim - [in]</span></div><div class="line"><a name="l01455"></a><span class="lineno"> 1455</span>&#160;<span class="comment"> is_rat - [in]</span></div><div class="line"><a name="l01456"></a><span class="lineno"> 1456</span>&#160;<span class="comment"> order0 - [in]</span></div><div class="line"><a name="l01457"></a><span class="lineno"> 1457</span>&#160;<span class="comment"> order1 - [in]</span></div><div class="line"><a name="l01458"></a><span class="lineno"> 1458</span>&#160;<span class="comment"> order2 - [in]</span></div><div class="line"><a name="l01459"></a><span class="lineno"> 1459</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l01460"></a><span class="lineno"> 1460</span>&#160;<span class="comment"> True if input was valid and creation succeded.</span></div><div class="line"><a name="l01461"></a><span class="lineno"> 1461</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01462"></a><span class="lineno"> 1462</span>&#160; <span class="keywordtype">bool</span> Create(</div><div class="line"><a name="l01463"></a><span class="lineno"> 1463</span>&#160; <span class="keywordtype">int</span> dim,</div><div class="line"><a name="l01464"></a><span class="lineno"> 1464</span>&#160; <span class="keywordtype">bool</span> is_rat,</div><div class="line"><a name="l01465"></a><span class="lineno"> 1465</span>&#160; <span class="keywordtype">int</span> order0,</div><div class="line"><a name="l01466"></a><span class="lineno"> 1466</span>&#160; <span class="keywordtype">int</span> order1,</div><div class="line"><a name="l01467"></a><span class="lineno"> 1467</span>&#160; <span class="keywordtype">int</span> order2</div><div class="line"><a name="l01468"></a><span class="lineno"> 1468</span>&#160; );</div><div class="line"><a name="l01469"></a><span class="lineno"> 1469</span>&#160;</div><div class="line"><a name="l01470"></a><span class="lineno"> 1470</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01471"></a><span class="lineno"> 1471</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l01472"></a><span class="lineno"> 1472</span>&#160;<span class="comment"> Create a Bezier volume with corners defined by a bounding box.</span></div><div class="line"><a name="l01473"></a><span class="lineno"> 1473</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l01474"></a><span class="lineno"> 1474</span>&#160;<span class="comment"> bbox - [in] target bounding box - the bezier will</span></div><div class="line"><a name="l01475"></a><span class="lineno"> 1475</span>&#160;<span class="comment"> map the unit cube onto this bounding box.</span></div><div class="line"><a name="l01476"></a><span class="lineno"> 1476</span>&#160;<span class="comment"> order0 - [in]</span></div><div class="line"><a name="l01477"></a><span class="lineno"> 1477</span>&#160;<span class="comment"> order1 - [in]</span></div><div class="line"><a name="l01478"></a><span class="lineno"> 1478</span>&#160;<span class="comment"> order2 - [in]</span></div><div class="line"><a name="l01479"></a><span class="lineno"> 1479</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01480"></a><span class="lineno"> 1480</span>&#160; <span class="keywordtype">bool</span> Create(</div><div class="line"><a name="l01481"></a><span class="lineno"> 1481</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d1/d17/class_o_n___bounding_box.html">ON_BoundingBox</a>&amp; bbox,</div><div class="line"><a name="l01482"></a><span class="lineno"> 1482</span>&#160; <span class="keywordtype">int</span> order0,</div><div class="line"><a name="l01483"></a><span class="lineno"> 1483</span>&#160; <span class="keywordtype">int</span> order1,</div><div class="line"><a name="l01484"></a><span class="lineno"> 1484</span>&#160; <span class="keywordtype">int</span> order2</div><div class="line"><a name="l01485"></a><span class="lineno"> 1485</span>&#160; );</div><div class="line"><a name="l01486"></a><span class="lineno"> 1486</span>&#160;</div><div class="line"><a name="l01487"></a><span class="lineno"> 1487</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01488"></a><span class="lineno"> 1488</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l01489"></a><span class="lineno"> 1489</span>&#160;<span class="comment"> Create a bezier volume from a 3d box</span></div><div class="line"><a name="l01490"></a><span class="lineno"> 1490</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l01491"></a><span class="lineno"> 1491</span>&#160;<span class="comment"> box_corners - [in] 8 points that define corners of the volume</span></div><div class="line"><a name="l01492"></a><span class="lineno"> 1492</span>&#160;<span class="comment"></span></div><div class="line"><a name="l01493"></a><span class="lineno"> 1493</span>&#160;<span class="comment"> 7______________6</span></div><div class="line"><a name="l01494"></a><span class="lineno"> 1494</span>&#160;<span class="comment"> |\ |\</span></div><div class="line"><a name="l01495"></a><span class="lineno"> 1495</span>&#160;<span class="comment"> | \ | \</span></div><div class="line"><a name="l01496"></a><span class="lineno"> 1496</span>&#160;<span class="comment"> | \ _____________\</span></div><div class="line"><a name="l01497"></a><span class="lineno"> 1497</span>&#160;<span class="comment"> | 4 | 5</span></div><div class="line"><a name="l01498"></a><span class="lineno"> 1498</span>&#160;<span class="comment"> | | | |</span></div><div class="line"><a name="l01499"></a><span class="lineno"> 1499</span>&#160;<span class="comment"> | | | |</span></div><div class="line"><a name="l01500"></a><span class="lineno"> 1500</span>&#160;<span class="comment"> 3---|----------2 |</span></div><div class="line"><a name="l01501"></a><span class="lineno"> 1501</span>&#160;<span class="comment"> \ | \ |</span></div><div class="line"><a name="l01502"></a><span class="lineno"> 1502</span>&#160;<span class="comment"> \ |t \ |</span></div><div class="line"><a name="l01503"></a><span class="lineno"> 1503</span>&#160;<span class="comment"> s \ | \ |</span></div><div class="line"><a name="l01504"></a><span class="lineno"> 1504</span>&#160;<span class="comment"> \0_____________\1</span></div><div class="line"><a name="l01505"></a><span class="lineno"> 1505</span>&#160;<span class="comment"> r</span></div><div class="line"><a name="l01506"></a><span class="lineno"> 1506</span>&#160;<span class="comment"></span></div><div class="line"><a name="l01507"></a><span class="lineno"> 1507</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01508"></a><span class="lineno"> 1508</span>&#160; <span class="keywordtype">bool</span> Create(</div><div class="line"><a name="l01509"></a><span class="lineno"> 1509</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>* box_corners,</div><div class="line"><a name="l01510"></a><span class="lineno"> 1510</span>&#160; <span class="keywordtype">int</span> order0,</div><div class="line"><a name="l01511"></a><span class="lineno"> 1511</span>&#160; <span class="keywordtype">int</span> order1,</div><div class="line"><a name="l01512"></a><span class="lineno"> 1512</span>&#160; <span class="keywordtype">int</span> order2</div><div class="line"><a name="l01513"></a><span class="lineno"> 1513</span>&#160; );</div><div class="line"><a name="l01514"></a><span class="lineno"> 1514</span>&#160;</div><div class="line"><a name="l01515"></a><span class="lineno"> 1515</span>&#160;</div><div class="line"><a name="l01516"></a><span class="lineno"> 1516</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01517"></a><span class="lineno"> 1517</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l01518"></a><span class="lineno"> 1518</span>&#160;<span class="comment"> Frees the CV array and sets all members to zero.</span></div><div class="line"><a name="l01519"></a><span class="lineno"> 1519</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01520"></a><span class="lineno"> 1520</span>&#160; <span class="keywordtype">void</span> Destroy();</div><div class="line"><a name="l01521"></a><span class="lineno"> 1521</span>&#160;</div><div class="line"><a name="l01522"></a><span class="lineno"> 1522</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01523"></a><span class="lineno"> 1523</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l01524"></a><span class="lineno"> 1524</span>&#160;<span class="comment"> Sets all members to zero. Does not free the CV array</span></div><div class="line"><a name="l01525"></a><span class="lineno"> 1525</span>&#160;<span class="comment"> even when m_cv is not nullptr. Generally used when the</span></div><div class="line"><a name="l01526"></a><span class="lineno"> 1526</span>&#160;<span class="comment"> CVs were allocated from a memory pool that no longer</span></div><div class="line"><a name="l01527"></a><span class="lineno"> 1527</span>&#160;<span class="comment"> exists and the free done in ~ON_BezierCage would</span></div><div class="line"><a name="l01528"></a><span class="lineno"> 1528</span>&#160;<span class="comment"> cause a crash.</span></div><div class="line"><a name="l01529"></a><span class="lineno"> 1529</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01530"></a><span class="lineno"> 1530</span>&#160; <span class="keywordtype">void</span> EmergencyDestroy();</div><div class="line"><a name="l01531"></a><span class="lineno"> 1531</span>&#160;</div><div class="line"><a name="l01532"></a><span class="lineno"> 1532</span>&#160;</div><div class="line"><a name="l01533"></a><span class="lineno"> 1533</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01534"></a><span class="lineno"> 1534</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l01535"></a><span class="lineno"> 1535</span>&#160;<span class="comment"> Reads the definition of this class from an</span></div><div class="line"><a name="l01536"></a><span class="lineno"> 1536</span>&#160;<span class="comment"> archive previously saved by ON_BezierVolue::Write.</span></div><div class="line"><a name="l01537"></a><span class="lineno"> 1537</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l01538"></a><span class="lineno"> 1538</span>&#160;<span class="comment"> archive - [in] target archive</span></div><div class="line"><a name="l01539"></a><span class="lineno"> 1539</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l01540"></a><span class="lineno"> 1540</span>&#160;<span class="comment"> True if successful.</span></div><div class="line"><a name="l01541"></a><span class="lineno"> 1541</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01542"></a><span class="lineno"> 1542</span>&#160; <span class="keywordtype">bool</span> Read(<a class="code" href="../../db/d16/class_o_n___binary_archive.html">ON_BinaryArchive</a>&amp; archive);</div><div class="line"><a name="l01543"></a><span class="lineno"> 1543</span>&#160;</div><div class="line"><a name="l01544"></a><span class="lineno"> 1544</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01545"></a><span class="lineno"> 1545</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l01546"></a><span class="lineno"> 1546</span>&#160;<span class="comment"> Saves the definition of this class in serial binary</span></div><div class="line"><a name="l01547"></a><span class="lineno"> 1547</span>&#160;<span class="comment"> form that can be read by ON_BezierVolue::Read.</span></div><div class="line"><a name="l01548"></a><span class="lineno"> 1548</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l01549"></a><span class="lineno"> 1549</span>&#160;<span class="comment"> archive - [in] target archive</span></div><div class="line"><a name="l01550"></a><span class="lineno"> 1550</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l01551"></a><span class="lineno"> 1551</span>&#160;<span class="comment"> True if successful.</span></div><div class="line"><a name="l01552"></a><span class="lineno"> 1552</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01553"></a><span class="lineno"> 1553</span>&#160; <span class="keywordtype">bool</span> Write(<a class="code" href="../../db/d16/class_o_n___binary_archive.html">ON_BinaryArchive</a>&amp; archive) <span class="keyword">const</span>;</div><div class="line"><a name="l01554"></a><span class="lineno"> 1554</span>&#160;</div><div class="line"><a name="l01555"></a><span class="lineno"> 1555</span>&#160;</div><div class="line"><a name="l01556"></a><span class="lineno"> 1556</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01557"></a><span class="lineno"> 1557</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l01558"></a><span class="lineno"> 1558</span>&#160;<span class="comment"> Gets the axis aligned bounding box that contains</span></div><div class="line"><a name="l01559"></a><span class="lineno"> 1559</span>&#160;<span class="comment"> the bezier&#39;s control points. The bezier volume</span></div><div class="line"><a name="l01560"></a><span class="lineno"> 1560</span>&#160;<span class="comment"> maps the unit cube into this box.</span></div><div class="line"><a name="l01561"></a><span class="lineno"> 1561</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l01562"></a><span class="lineno"> 1562</span>&#160;<span class="comment"> boxmin - [in] array of Dimension() doubles</span></div><div class="line"><a name="l01563"></a><span class="lineno"> 1563</span>&#160;<span class="comment"> boxmax - [in] array of Dimension() doubles</span></div><div class="line"><a name="l01564"></a><span class="lineno"> 1564</span>&#160;<span class="comment"> bGrowBox = [in] if true and the input is a valid box</span></div><div class="line"><a name="l01565"></a><span class="lineno"> 1565</span>&#160;<span class="comment"> then the input box is grown to</span></div><div class="line"><a name="l01566"></a><span class="lineno"> 1566</span>&#160;<span class="comment"> include this object&#39;s bounding box.</span></div><div class="line"><a name="l01567"></a><span class="lineno"> 1567</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l01568"></a><span class="lineno"> 1568</span>&#160;<span class="comment"> true if successful.</span></div><div class="line"><a name="l01569"></a><span class="lineno"> 1569</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01570"></a><span class="lineno"> 1570</span>&#160; <span class="keywordtype">bool</span> GetBBox(</div><div class="line"><a name="l01571"></a><span class="lineno"> 1571</span>&#160; <span class="keywordtype">double</span>* boxmin,</div><div class="line"><a name="l01572"></a><span class="lineno"> 1572</span>&#160; <span class="keywordtype">double</span>* boxmax,</div><div class="line"><a name="l01573"></a><span class="lineno"> 1573</span>&#160; <span class="keywordtype">bool</span> bGrowBox = <span class="keyword">false</span> </div><div class="line"><a name="l01574"></a><span class="lineno"> 1574</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l01575"></a><span class="lineno"> 1575</span>&#160;</div><div class="line"><a name="l01576"></a><span class="lineno"> 1576</span>&#160; <span class="keywordtype">bool</span> Transform( </div><div class="line"><a name="l01577"></a><span class="lineno"> 1577</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>&amp; xform</div><div class="line"><a name="l01578"></a><span class="lineno"> 1578</span>&#160; );</div><div class="line"><a name="l01579"></a><span class="lineno"> 1579</span>&#160;</div><div class="line"><a name="l01580"></a><span class="lineno"> 1580</span>&#160;</div><div class="line"><a name="l01581"></a><span class="lineno"> 1581</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l01582"></a><span class="lineno"> 1582</span>&#160; <span class="comment">// Rotates the bezier surface about the specified axis. A positive</span></div><div class="line"><a name="l01583"></a><span class="lineno"> 1583</span>&#160; <span class="comment">// rotation angle results in a counter-clockwise rotation</span></div><div class="line"><a name="l01584"></a><span class="lineno"> 1584</span>&#160; <span class="comment">// about the axis (right hand rule).</span></div><div class="line"><a name="l01585"></a><span class="lineno"> 1585</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l01586"></a><span class="lineno"> 1586</span>&#160; <span class="comment">// sin_angle - [in] sine of rotation angle</span></div><div class="line"><a name="l01587"></a><span class="lineno"> 1587</span>&#160; <span class="comment">// cos_angle - [in] sine of rotation angle</span></div><div class="line"><a name="l01588"></a><span class="lineno"> 1588</span>&#160; <span class="comment">// rotation_axis - [in] direction of the axis of rotation</span></div><div class="line"><a name="l01589"></a><span class="lineno"> 1589</span>&#160; <span class="comment">// rotation_center - [in] point on the axis of rotation</span></div><div class="line"><a name="l01590"></a><span class="lineno"> 1590</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l01591"></a><span class="lineno"> 1591</span>&#160; <span class="comment">// true if bezier surface successfully rotated</span></div><div class="line"><a name="l01592"></a><span class="lineno"> 1592</span>&#160; <span class="comment">// Remarks:</span></div><div class="line"><a name="l01593"></a><span class="lineno"> 1593</span>&#160; <span class="comment">// Uses ON_BezierCage::Transform() function to calculate the result.</span></div><div class="line"><a name="l01594"></a><span class="lineno"> 1594</span>&#160; <span class="keywordtype">bool</span> Rotate(</div><div class="line"><a name="l01595"></a><span class="lineno"> 1595</span>&#160; <span class="keywordtype">double</span> sin_angle,</div><div class="line"><a name="l01596"></a><span class="lineno"> 1596</span>&#160; <span class="keywordtype">double</span> cos_angle,</div><div class="line"><a name="l01597"></a><span class="lineno"> 1597</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp; rotation_axis,</div><div class="line"><a name="l01598"></a><span class="lineno"> 1598</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&amp; rotation_center</div><div class="line"><a name="l01599"></a><span class="lineno"> 1599</span>&#160; );</div><div class="line"><a name="l01600"></a><span class="lineno"> 1600</span>&#160;</div><div class="line"><a name="l01601"></a><span class="lineno"> 1601</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l01602"></a><span class="lineno"> 1602</span>&#160; <span class="comment">// Rotates the bezier surface about the specified axis. A positive</span></div><div class="line"><a name="l01603"></a><span class="lineno"> 1603</span>&#160; <span class="comment">// rotation angle results in a counter-clockwise rotation</span></div><div class="line"><a name="l01604"></a><span class="lineno"> 1604</span>&#160; <span class="comment">// about the axis (right hand rule).</span></div><div class="line"><a name="l01605"></a><span class="lineno"> 1605</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l01606"></a><span class="lineno"> 1606</span>&#160; <span class="comment">// rotation_angle - [in] angle of rotation in radians</span></div><div class="line"><a name="l01607"></a><span class="lineno"> 1607</span>&#160; <span class="comment">// rotation_axis - [in] direction of the axis of rotation</span></div><div class="line"><a name="l01608"></a><span class="lineno"> 1608</span>&#160; <span class="comment">// rotation_center - [in] point on the axis of rotation</span></div><div class="line"><a name="l01609"></a><span class="lineno"> 1609</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l01610"></a><span class="lineno"> 1610</span>&#160; <span class="comment">// true if bezier surface successfully rotated</span></div><div class="line"><a name="l01611"></a><span class="lineno"> 1611</span>&#160; <span class="comment">// Remarks:</span></div><div class="line"><a name="l01612"></a><span class="lineno"> 1612</span>&#160; <span class="comment">// Uses ON_BezierCage::Transform() function to calculate the result.</span></div><div class="line"><a name="l01613"></a><span class="lineno"> 1613</span>&#160; <span class="keywordtype">bool</span> Rotate(</div><div class="line"><a name="l01614"></a><span class="lineno"> 1614</span>&#160; <span class="keywordtype">double</span> rotation_angle,</div><div class="line"><a name="l01615"></a><span class="lineno"> 1615</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp; rotation_axis,</div><div class="line"><a name="l01616"></a><span class="lineno"> 1616</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&amp; rotation_center</div><div class="line"><a name="l01617"></a><span class="lineno"> 1617</span>&#160; );</div><div class="line"><a name="l01618"></a><span class="lineno"> 1618</span>&#160;</div><div class="line"><a name="l01619"></a><span class="lineno"> 1619</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l01620"></a><span class="lineno"> 1620</span>&#160; <span class="comment">// Translates the bezier surface along the specified vector.</span></div><div class="line"><a name="l01621"></a><span class="lineno"> 1621</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l01622"></a><span class="lineno"> 1622</span>&#160; <span class="comment">// translation_vector - [in] translation vector</span></div><div class="line"><a name="l01623"></a><span class="lineno"> 1623</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l01624"></a><span class="lineno"> 1624</span>&#160; <span class="comment">// true if bezier surface successfully translated</span></div><div class="line"><a name="l01625"></a><span class="lineno"> 1625</span>&#160; <span class="comment">// Remarks:</span></div><div class="line"><a name="l01626"></a><span class="lineno"> 1626</span>&#160; <span class="comment">// Uses ON_BezierCage::Transform() function to calculate the result.</span></div><div class="line"><a name="l01627"></a><span class="lineno"> 1627</span>&#160; <span class="keywordtype">bool</span> Translate( </div><div class="line"><a name="l01628"></a><span class="lineno"> 1628</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp; translation_vector</div><div class="line"><a name="l01629"></a><span class="lineno"> 1629</span>&#160; );</div><div class="line"><a name="l01630"></a><span class="lineno"> 1630</span>&#160;</div><div class="line"><a name="l01631"></a><span class="lineno"> 1631</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l01632"></a><span class="lineno"> 1632</span>&#160; <span class="comment">// Scales the bezier surface by the specified facotor. The scale is</span></div><div class="line"><a name="l01633"></a><span class="lineno"> 1633</span>&#160; <span class="comment">// centered at the origin.</span></div><div class="line"><a name="l01634"></a><span class="lineno"> 1634</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l01635"></a><span class="lineno"> 1635</span>&#160; <span class="comment">// scale_factor - [in] scale factor</span></div><div class="line"><a name="l01636"></a><span class="lineno"> 1636</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l01637"></a><span class="lineno"> 1637</span>&#160; <span class="comment">// true if bezier surface successfully scaled</span></div><div class="line"><a name="l01638"></a><span class="lineno"> 1638</span>&#160; <span class="comment">// Remarks:</span></div><div class="line"><a name="l01639"></a><span class="lineno"> 1639</span>&#160; <span class="comment">// Uses ON_BezierCage::Transform() function to calculate the result.</span></div><div class="line"><a name="l01640"></a><span class="lineno"> 1640</span>&#160; <span class="keywordtype">bool</span> Scale( </div><div class="line"><a name="l01641"></a><span class="lineno"> 1641</span>&#160; <span class="keywordtype">double</span> scale_factor</div><div class="line"><a name="l01642"></a><span class="lineno"> 1642</span>&#160; );</div><div class="line"><a name="l01643"></a><span class="lineno"> 1643</span>&#160;</div><div class="line"><a name="l01644"></a><span class="lineno"> 1644</span>&#160; <a class="code" href="../../dc/dc7/class_o_n___interval.html">ON_Interval</a> Domain(</div><div class="line"><a name="l01645"></a><span class="lineno"> 1645</span>&#160; <span class="keywordtype">int</span> <span class="comment">// 0 = &quot;u&quot; domain, 1 = &quot;v&quot; domain, 2 = &quot;w&quot; domain</span></div><div class="line"><a name="l01646"></a><span class="lineno"> 1646</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l01647"></a><span class="lineno"> 1647</span>&#160;</div><div class="line"><a name="l01648"></a><span class="lineno"> 1648</span>&#160; <span class="comment">// returns false if unable to evaluate</span></div><div class="line"><a name="l01649"></a><span class="lineno"> 1649</span>&#160; <span class="keywordtype">bool</span> Evaluate( </div><div class="line"><a name="l01650"></a><span class="lineno"> 1650</span>&#160; <span class="keywordtype">double</span> r, </div><div class="line"><a name="l01651"></a><span class="lineno"> 1651</span>&#160; <span class="keywordtype">double</span> s, </div><div class="line"><a name="l01652"></a><span class="lineno"> 1652</span>&#160; <span class="keywordtype">double</span> t,</div><div class="line"><a name="l01653"></a><span class="lineno"> 1653</span>&#160; <span class="keywordtype">int</span> der_count,</div><div class="line"><a name="l01654"></a><span class="lineno"> 1654</span>&#160; <span class="keywordtype">int</span> v_stride,</div><div class="line"><a name="l01655"></a><span class="lineno"> 1655</span>&#160; <span class="keywordtype">double</span>* v <span class="comment">// array of length stride*(ndir+1)*(ndir+2)/2</span></div><div class="line"><a name="l01656"></a><span class="lineno"> 1656</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l01657"></a><span class="lineno"> 1657</span>&#160;</div><div class="line"><a name="l01658"></a><span class="lineno"> 1658</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01659"></a><span class="lineno"> 1659</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l01660"></a><span class="lineno"> 1660</span>&#160;<span class="comment"> Evaluates bezer volume map.</span></div><div class="line"><a name="l01661"></a><span class="lineno"> 1661</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l01662"></a><span class="lineno"> 1662</span>&#160;<span class="comment"> rst - [in]</span></div><div class="line"><a name="l01663"></a><span class="lineno"> 1663</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l01664"></a><span class="lineno"> 1664</span>&#160;<span class="comment"> Value of the bezier volume map at (r,s,t).</span></div><div class="line"><a name="l01665"></a><span class="lineno"> 1665</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01666"></a><span class="lineno"> 1666</span>&#160; <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> PointAt(</div><div class="line"><a name="l01667"></a><span class="lineno"> 1667</span>&#160; <span class="keywordtype">double</span> r, </div><div class="line"><a name="l01668"></a><span class="lineno"> 1668</span>&#160; <span class="keywordtype">double</span> s, </div><div class="line"><a name="l01669"></a><span class="lineno"> 1669</span>&#160; <span class="keywordtype">double</span> t</div><div class="line"><a name="l01670"></a><span class="lineno"> 1670</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l01671"></a><span class="lineno"> 1671</span>&#160;</div><div class="line"><a name="l01672"></a><span class="lineno"> 1672</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01673"></a><span class="lineno"> 1673</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l01674"></a><span class="lineno"> 1674</span>&#160;<span class="comment"> Evaluates bezer volume map.</span></div><div class="line"><a name="l01675"></a><span class="lineno"> 1675</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l01676"></a><span class="lineno"> 1676</span>&#160;<span class="comment"> rst - [in]</span></div><div class="line"><a name="l01677"></a><span class="lineno"> 1677</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l01678"></a><span class="lineno"> 1678</span>&#160;<span class="comment"> Value of the bezier volume map at (rst.x,rst.y,rst.z).</span></div><div class="line"><a name="l01679"></a><span class="lineno"> 1679</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01680"></a><span class="lineno"> 1680</span>&#160; <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> PointAt(</div><div class="line"><a name="l01681"></a><span class="lineno"> 1681</span>&#160; <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> rst</div><div class="line"><a name="l01682"></a><span class="lineno"> 1682</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l01683"></a><span class="lineno"> 1683</span>&#160;</div><div class="line"><a name="l01684"></a><span class="lineno"> 1684</span>&#160; <span class="keywordtype">bool</span> IsRational() <span class="keyword">const</span>; <span class="comment">// true if NURBS curve is rational</span></div><div class="line"><a name="l01685"></a><span class="lineno"> 1685</span>&#160; </div><div class="line"><a name="l01686"></a><span class="lineno"> 1686</span>&#160; <span class="keywordtype">bool</span> IsSingular( <span class="comment">// true if surface side is collapsed to a point</span></div><div class="line"><a name="l01687"></a><span class="lineno"> 1687</span>&#160; <span class="keywordtype">int</span> <span class="comment">// side of parameter space to test</span></div><div class="line"><a name="l01688"></a><span class="lineno"> 1688</span>&#160; <span class="comment">// 0 = south, 1 = east, 2 = north, 3 = west</span></div><div class="line"><a name="l01689"></a><span class="lineno"> 1689</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l01690"></a><span class="lineno"> 1690</span>&#160;</div><div class="line"><a name="l01691"></a><span class="lineno"> 1691</span>&#160; <span class="keywordtype">int</span> CVSize() <span class="keyword">const</span>; <span class="comment">// number of doubles per control vertex </span></div><div class="line"><a name="l01692"></a><span class="lineno"> 1692</span>&#160; <span class="comment">// = IsRational() ? Dim()+1 : Dim()</span></div><div class="line"><a name="l01693"></a><span class="lineno"> 1693</span>&#160; </div><div class="line"><a name="l01694"></a><span class="lineno"> 1694</span>&#160; <span class="keywordtype">int</span> Order( <span class="comment">// order = degree + 1</span></div><div class="line"><a name="l01695"></a><span class="lineno"> 1695</span>&#160; <span class="keywordtype">int</span> <span class="comment">// dir</span></div><div class="line"><a name="l01696"></a><span class="lineno"> 1696</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l01697"></a><span class="lineno"> 1697</span>&#160; </div><div class="line"><a name="l01698"></a><span class="lineno"> 1698</span>&#160; <span class="keywordtype">int</span> Degree( <span class="comment">// degree = order - 1</span></div><div class="line"><a name="l01699"></a><span class="lineno"> 1699</span>&#160; <span class="keywordtype">int</span> <span class="comment">// dir</span></div><div class="line"><a name="l01700"></a><span class="lineno"> 1700</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l01701"></a><span class="lineno"> 1701</span>&#160;</div><div class="line"><a name="l01702"></a><span class="lineno"> 1702</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01703"></a><span class="lineno"> 1703</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l01704"></a><span class="lineno"> 1704</span>&#160;<span class="comment"> Expert user function to get a pointer to control vertex</span></div><div class="line"><a name="l01705"></a><span class="lineno"> 1705</span>&#160;<span class="comment"> memory. If you are not an expert user, please use</span></div><div class="line"><a name="l01706"></a><span class="lineno"> 1706</span>&#160;<span class="comment"> ON_BezierCage::GetCV( ON_3dPoint&amp; ) or </span></div><div class="line"><a name="l01707"></a><span class="lineno"> 1707</span>&#160;<span class="comment"> ON_BezierCage::GetCV( ON_4dPoint&amp; ).</span></div><div class="line"><a name="l01708"></a><span class="lineno"> 1708</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l01709"></a><span class="lineno"> 1709</span>&#160;<span class="comment"> cv_index0 - [in] (0 &lt;= cv_index0 &lt; m_order[0])</span></div><div class="line"><a name="l01710"></a><span class="lineno"> 1710</span>&#160;<span class="comment"> cv_index1 - [in] (0 &lt;= cv_index1 &lt; m_order[1])</span></div><div class="line"><a name="l01711"></a><span class="lineno"> 1711</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l01712"></a><span class="lineno"> 1712</span>&#160;<span class="comment"> Pointer to control vertex.</span></div><div class="line"><a name="l01713"></a><span class="lineno"> 1713</span>&#160;<span class="comment"> Remarks:</span></div><div class="line"><a name="l01714"></a><span class="lineno"> 1714</span>&#160;<span class="comment"> If the Bezier surface is rational, the format of the </span></div><div class="line"><a name="l01715"></a><span class="lineno"> 1715</span>&#160;<span class="comment"> returned array is a homogeneos rational point with</span></div><div class="line"><a name="l01716"></a><span class="lineno"> 1716</span>&#160;<span class="comment"> length m_dim+1. If the Bezier surface is not rational, </span></div><div class="line"><a name="l01717"></a><span class="lineno"> 1717</span>&#160;<span class="comment"> the format of the returned array is a nonrational </span></div><div class="line"><a name="l01718"></a><span class="lineno"> 1718</span>&#160;<span class="comment"> euclidean point with length m_dim.</span></div><div class="line"><a name="l01719"></a><span class="lineno"> 1719</span>&#160;<span class="comment"> See Also</span></div><div class="line"><a name="l01720"></a><span class="lineno"> 1720</span>&#160;<span class="comment"> ON_BezierCage::CVStyle</span></div><div class="line"><a name="l01721"></a><span class="lineno"> 1721</span>&#160;<span class="comment"> ON_BezierCage::GetCV</span></div><div class="line"><a name="l01722"></a><span class="lineno"> 1722</span>&#160;<span class="comment"> ON_BezierCage::Weight</span></div><div class="line"><a name="l01723"></a><span class="lineno"> 1723</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01724"></a><span class="lineno"> 1724</span>&#160; <span class="keywordtype">double</span>* CV(</div><div class="line"><a name="l01725"></a><span class="lineno"> 1725</span>&#160; <span class="keywordtype">int</span> i,</div><div class="line"><a name="l01726"></a><span class="lineno"> 1726</span>&#160; <span class="keywordtype">int</span> j,</div><div class="line"><a name="l01727"></a><span class="lineno"> 1727</span>&#160; <span class="keywordtype">int</span> k</div><div class="line"><a name="l01728"></a><span class="lineno"> 1728</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l01729"></a><span class="lineno"> 1729</span>&#160;</div><div class="line"><a name="l01730"></a><span class="lineno"> 1730</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01731"></a><span class="lineno"> 1731</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l01732"></a><span class="lineno"> 1732</span>&#160;<span class="comment"> Returns the style of control vertices in the m_cv array.</span></div><div class="line"><a name="l01733"></a><span class="lineno"> 1733</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l01734"></a><span class="lineno"> 1734</span>&#160;<span class="comment"> @untitled table</span></div><div class="line"><a name="l01735"></a><span class="lineno"> 1735</span>&#160;<span class="comment"> ON::not_rational m_is_rat is false</span></div><div class="line"><a name="l01736"></a><span class="lineno"> 1736</span>&#160;<span class="comment"> ON::homogeneous_rational m_is_rat is true</span></div><div class="line"><a name="l01737"></a><span class="lineno"> 1737</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01738"></a><span class="lineno"> 1738</span>&#160; ON::point_style CVStyle() <span class="keyword">const</span>;</div><div class="line"><a name="l01739"></a><span class="lineno"> 1739</span>&#160;</div><div class="line"><a name="l01740"></a><span class="lineno"> 1740</span>&#160; <span class="keywordtype">double</span> Weight( <span class="comment">// get value of control vertex weight</span></div><div class="line"><a name="l01741"></a><span class="lineno"> 1741</span>&#160; <span class="keywordtype">int</span> i,</div><div class="line"><a name="l01742"></a><span class="lineno"> 1742</span>&#160; <span class="keywordtype">int</span> j,</div><div class="line"><a name="l01743"></a><span class="lineno"> 1743</span>&#160; <span class="keywordtype">int</span> k</div><div class="line"><a name="l01744"></a><span class="lineno"> 1744</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l01745"></a><span class="lineno"> 1745</span>&#160;</div><div class="line"><a name="l01746"></a><span class="lineno"> 1746</span>&#160; <span class="keywordtype">bool</span> SetWeight( <span class="comment">// set value of control vertex weight</span></div><div class="line"><a name="l01747"></a><span class="lineno"> 1747</span>&#160; <span class="keywordtype">int</span> i,</div><div class="line"><a name="l01748"></a><span class="lineno"> 1748</span>&#160; <span class="keywordtype">int</span> j,</div><div class="line"><a name="l01749"></a><span class="lineno"> 1749</span>&#160; <span class="keywordtype">int</span> k,</div><div class="line"><a name="l01750"></a><span class="lineno"> 1750</span>&#160; <span class="keywordtype">double</span> w</div><div class="line"><a name="l01751"></a><span class="lineno"> 1751</span>&#160; );</div><div class="line"><a name="l01752"></a><span class="lineno"> 1752</span>&#160;</div><div class="line"><a name="l01753"></a><span class="lineno"> 1753</span>&#160; <span class="keywordtype">bool</span> SetCV( <span class="comment">// set a single control vertex</span></div><div class="line"><a name="l01754"></a><span class="lineno"> 1754</span>&#160; <span class="keywordtype">int</span> i,</div><div class="line"><a name="l01755"></a><span class="lineno"> 1755</span>&#160; <span class="keywordtype">int</span> j,</div><div class="line"><a name="l01756"></a><span class="lineno"> 1756</span>&#160; <span class="keywordtype">int</span> k,</div><div class="line"><a name="l01757"></a><span class="lineno"> 1757</span>&#160; ON::point_style, <span class="comment">// style of input point</span></div><div class="line"><a name="l01758"></a><span class="lineno"> 1758</span>&#160; <span class="keyword">const</span> <span class="keywordtype">double</span>* <span class="comment">// value of control vertex</span></div><div class="line"><a name="l01759"></a><span class="lineno"> 1759</span>&#160; );</div><div class="line"><a name="l01760"></a><span class="lineno"> 1760</span>&#160;</div><div class="line"><a name="l01761"></a><span class="lineno"> 1761</span>&#160; <span class="comment">// set a single control vertex</span></div><div class="line"><a name="l01762"></a><span class="lineno"> 1762</span>&#160; <span class="comment">// If NURBS is rational, weight</span></div><div class="line"><a name="l01763"></a><span class="lineno"> 1763</span>&#160; <span class="comment">// will be set to 1.</span></div><div class="line"><a name="l01764"></a><span class="lineno"> 1764</span>&#160; <span class="keywordtype">bool</span> SetCV(</div><div class="line"><a name="l01765"></a><span class="lineno"> 1765</span>&#160; <span class="keywordtype">int</span> i,</div><div class="line"><a name="l01766"></a><span class="lineno"> 1766</span>&#160; <span class="keywordtype">int</span> j,</div><div class="line"><a name="l01767"></a><span class="lineno"> 1767</span>&#160; <span class="keywordtype">int</span> k,</div><div class="line"><a name="l01768"></a><span class="lineno"> 1768</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&amp; point</div><div class="line"><a name="l01769"></a><span class="lineno"> 1769</span>&#160; );</div><div class="line"><a name="l01770"></a><span class="lineno"> 1770</span>&#160;</div><div class="line"><a name="l01771"></a><span class="lineno"> 1771</span>&#160; <span class="comment">// set a single control vertex</span></div><div class="line"><a name="l01772"></a><span class="lineno"> 1772</span>&#160; <span class="comment">// value of control vertex</span></div><div class="line"><a name="l01773"></a><span class="lineno"> 1773</span>&#160; <span class="comment">// If NURBS is not rational, euclidean</span></div><div class="line"><a name="l01774"></a><span class="lineno"> 1774</span>&#160; <span class="comment">// location of homogeneous point will</span></div><div class="line"><a name="l01775"></a><span class="lineno"> 1775</span>&#160; <span class="comment">// be used.</span></div><div class="line"><a name="l01776"></a><span class="lineno"> 1776</span>&#160; <span class="keywordtype">bool</span> SetCV(</div><div class="line"><a name="l01777"></a><span class="lineno"> 1777</span>&#160; <span class="keywordtype">int</span> i,</div><div class="line"><a name="l01778"></a><span class="lineno"> 1778</span>&#160; <span class="keywordtype">int</span> j,</div><div class="line"><a name="l01779"></a><span class="lineno"> 1779</span>&#160; <span class="keywordtype">int</span> k,</div><div class="line"><a name="l01780"></a><span class="lineno"> 1780</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d9/db1/class_o_n__4d_point.html">ON_4dPoint</a>&amp; hpoint</div><div class="line"><a name="l01781"></a><span class="lineno"> 1781</span>&#160; );</div><div class="line"><a name="l01782"></a><span class="lineno"> 1782</span>&#160;</div><div class="line"><a name="l01783"></a><span class="lineno"> 1783</span>&#160; <span class="keywordtype">bool</span> GetCV( <span class="comment">// get a single control vertex</span></div><div class="line"><a name="l01784"></a><span class="lineno"> 1784</span>&#160; <span class="keywordtype">int</span> i,</div><div class="line"><a name="l01785"></a><span class="lineno"> 1785</span>&#160; <span class="keywordtype">int</span> j,</div><div class="line"><a name="l01786"></a><span class="lineno"> 1786</span>&#160; <span class="keywordtype">int</span> k,</div><div class="line"><a name="l01787"></a><span class="lineno"> 1787</span>&#160; ON::point_style, <span class="comment">// style to use for output point</span></div><div class="line"><a name="l01788"></a><span class="lineno"> 1788</span>&#160; <span class="keywordtype">double</span>* <span class="comment">// array of length &gt;= CVSize()</span></div><div class="line"><a name="l01789"></a><span class="lineno"> 1789</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l01790"></a><span class="lineno"> 1790</span>&#160;</div><div class="line"><a name="l01791"></a><span class="lineno"> 1791</span>&#160; <span class="keywordtype">bool</span> GetCV( <span class="comment">// get a single control vertex</span></div><div class="line"><a name="l01792"></a><span class="lineno"> 1792</span>&#160; <span class="keywordtype">int</span> i,</div><div class="line"><a name="l01793"></a><span class="lineno"> 1793</span>&#160; <span class="keywordtype">int</span> j,</div><div class="line"><a name="l01794"></a><span class="lineno"> 1794</span>&#160; <span class="keywordtype">int</span> k,</div><div class="line"><a name="l01795"></a><span class="lineno"> 1795</span>&#160; <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&amp; <span class="comment">// gets euclidean cv when NURBS is rational</span></div><div class="line"><a name="l01796"></a><span class="lineno"> 1796</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l01797"></a><span class="lineno"> 1797</span>&#160;</div><div class="line"><a name="l01798"></a><span class="lineno"> 1798</span>&#160; <span class="keywordtype">bool</span> GetCV( <span class="comment">// get a single control vertex</span></div><div class="line"><a name="l01799"></a><span class="lineno"> 1799</span>&#160; <span class="keywordtype">int</span> i,</div><div class="line"><a name="l01800"></a><span class="lineno"> 1800</span>&#160; <span class="keywordtype">int</span> j,</div><div class="line"><a name="l01801"></a><span class="lineno"> 1801</span>&#160; <span class="keywordtype">int</span> k,</div><div class="line"><a name="l01802"></a><span class="lineno"> 1802</span>&#160; <a class="code" href="../../d9/db1/class_o_n__4d_point.html">ON_4dPoint</a>&amp; <span class="comment">// gets homogeneous cv</span></div><div class="line"><a name="l01803"></a><span class="lineno"> 1803</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l01804"></a><span class="lineno"> 1804</span>&#160;</div><div class="line"><a name="l01805"></a><span class="lineno"> 1805</span>&#160; <span class="keywordtype">bool</span> ZeroCVs(); <span class="comment">// zeros control vertices and, if rational, sets weights to 1</span></div><div class="line"><a name="l01806"></a><span class="lineno"> 1806</span>&#160;</div><div class="line"><a name="l01807"></a><span class="lineno"> 1807</span>&#160; <span class="keywordtype">bool</span> MakeRational();</div><div class="line"><a name="l01808"></a><span class="lineno"> 1808</span>&#160;</div><div class="line"><a name="l01809"></a><span class="lineno"> 1809</span>&#160; <span class="keywordtype">bool</span> MakeNonRational();</div><div class="line"><a name="l01810"></a><span class="lineno"> 1810</span>&#160;</div><div class="line"><a name="l01811"></a><span class="lineno"> 1811</span>&#160;<span class="comment"></span></div><div class="line"><a name="l01812"></a><span class="lineno"> 1812</span>&#160;<span class="comment"> /////////////////////////////////////////////////////////////////</span></div><div class="line"><a name="l01813"></a><span class="lineno"> 1813</span>&#160;<span class="comment"></span> <span class="comment">// Tools for managing CV and knot memory</span></div><div class="line"><a name="l01814"></a><span class="lineno"> 1814</span>&#160;</div><div class="line"><a name="l01815"></a><span class="lineno"> 1815</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01816"></a><span class="lineno"> 1816</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l01817"></a><span class="lineno"> 1817</span>&#160;<span class="comment"> cv_capacity - [in] number of doubles to reserve</span></div><div class="line"><a name="l01818"></a><span class="lineno"> 1818</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01819"></a><span class="lineno"> 1819</span>&#160; <span class="keywordtype">bool</span> ReserveCVCapacity(</div><div class="line"><a name="l01820"></a><span class="lineno"> 1820</span>&#160; <span class="keywordtype">int</span> cv_capacity</div><div class="line"><a name="l01821"></a><span class="lineno"> 1821</span>&#160; );</div><div class="line"><a name="l01822"></a><span class="lineno"> 1822</span>&#160;<span class="comment"></span></div><div class="line"><a name="l01823"></a><span class="lineno"> 1823</span>&#160;<span class="comment"> /////////////////////////////////////////////////////////////////</span></div><div class="line"><a name="l01824"></a><span class="lineno"> 1824</span>&#160;<span class="comment"></span> <span class="comment">// Implementation</span></div><div class="line"><a name="l01825"></a><span class="lineno"> 1825</span>&#160;<span class="keyword">public</span>:</div><div class="line"><a name="l01826"></a><span class="lineno"> 1826</span>&#160; <span class="comment">// NOTE: These members are left &quot;public&quot; so that expert users may efficiently</span></div><div class="line"><a name="l01827"></a><span class="lineno"> 1827</span>&#160; <span class="comment">// create bezier curves using the default constructor and borrow the</span></div><div class="line"><a name="l01828"></a><span class="lineno"> 1828</span>&#160; <span class="comment">// knot and CV arrays from their native NURBS representation.</span></div><div class="line"><a name="l01829"></a><span class="lineno"> 1829</span>&#160; <span class="comment">// No technical support will be provided for users who access these</span></div><div class="line"><a name="l01830"></a><span class="lineno"> 1830</span>&#160; <span class="comment">// members directly. If you can&#39;t get your stuff to work, then use</span></div><div class="line"><a name="l01831"></a><span class="lineno"> 1831</span>&#160; <span class="comment">// the constructor with the arguments and the SetKnot() and SetCV()</span></div><div class="line"><a name="l01832"></a><span class="lineno"> 1832</span>&#160; <span class="comment">// functions to fill in the arrays.</span></div><div class="line"><a name="l01833"></a><span class="lineno"> 1833</span>&#160;</div><div class="line"><a name="l01834"></a><span class="lineno"> 1834</span>&#160;</div><div class="line"><a name="l01835"></a><span class="lineno"> 1835</span>&#160; <span class="keywordtype">int</span> m_dim;</div><div class="line"><a name="l01836"></a><span class="lineno"> 1836</span>&#160; <span class="keywordtype">bool</span> m_is_rat;</div><div class="line"><a name="l01837"></a><span class="lineno"> 1837</span>&#160; <span class="keywordtype">int</span> m_order[3];</div><div class="line"><a name="l01838"></a><span class="lineno"> 1838</span>&#160; <span class="keywordtype">int</span> m_cv_stride[3];</div><div class="line"><a name="l01839"></a><span class="lineno"> 1839</span>&#160; <span class="keywordtype">int</span> m_cv_capacity;</div><div class="line"><a name="l01840"></a><span class="lineno"> 1840</span>&#160; <span class="keywordtype">double</span>* m_cv;</div><div class="line"><a name="l01841"></a><span class="lineno"> 1841</span>&#160;};</div><div class="line"><a name="l01842"></a><span class="lineno"> 1842</span>&#160;</div><div class="line"><a name="l01843"></a><span class="lineno"> 1843</span>&#160;</div><div class="line"><a name="l01844"></a><span class="lineno"> 1844</span>&#160;<span class="keyword">class </span>ON_CLASS <a class="code" href="../../de/d9b/class_o_n___bezier_cage_morph.html">ON_BezierCageMorph</a> : <span class="keyword">public</span> <a class="code" href="../../da/d04/class_o_n___space_morph.html">ON_SpaceMorph</a></div><div class="line"><a name="l01845"></a><span class="lineno"> 1845</span>&#160;{</div><div class="line"><a name="l01846"></a><span class="lineno"> 1846</span>&#160;<span class="keyword">public</span>:</div><div class="line"><a name="l01847"></a><span class="lineno"> 1847</span>&#160; <a class="code" href="../../de/d9b/class_o_n___bezier_cage_morph.html">ON_BezierCageMorph</a>();</div><div class="line"><a name="l01848"></a><span class="lineno"> 1848</span>&#160; <span class="keyword">virtual</span> ~<a class="code" href="../../de/d9b/class_o_n___bezier_cage_morph.html">ON_BezierCageMorph</a>();</div><div class="line"><a name="l01849"></a><span class="lineno"> 1849</span>&#160;</div><div class="line"><a name="l01850"></a><span class="lineno"> 1850</span>&#160;</div><div class="line"><a name="l01851"></a><span class="lineno"> 1851</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01852"></a><span class="lineno"> 1852</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l01853"></a><span class="lineno"> 1853</span>&#160;<span class="comment"> Create a Bezier volume.</span></div><div class="line"><a name="l01854"></a><span class="lineno"> 1854</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l01855"></a><span class="lineno"> 1855</span>&#160;<span class="comment"> P0 - [in] </span></div><div class="line"><a name="l01856"></a><span class="lineno"> 1856</span>&#160;<span class="comment"> P1 - [in] </span></div><div class="line"><a name="l01857"></a><span class="lineno"> 1857</span>&#160;<span class="comment"> P2 - [in] </span></div><div class="line"><a name="l01858"></a><span class="lineno"> 1858</span>&#160;<span class="comment"> P3 - [in] </span></div><div class="line"><a name="l01859"></a><span class="lineno"> 1859</span>&#160;<span class="comment"> P0,P1,P2,P3 defines a parallepiped in world space. The morph</span></div><div class="line"><a name="l01860"></a><span class="lineno"> 1860</span>&#160;<span class="comment"> maps this parallepiped to the (0,1)x(0,1)x(0,1) unit cube</span></div><div class="line"><a name="l01861"></a><span class="lineno"> 1861</span>&#160;<span class="comment"> and then applies the BezierCage map.</span></div><div class="line"><a name="l01862"></a><span class="lineno"> 1862</span>&#160;<span class="comment"> </span></div><div class="line"><a name="l01863"></a><span class="lineno"> 1863</span>&#160;<span class="comment"></span></div><div class="line"><a name="l01864"></a><span class="lineno"> 1864</span>&#160;<span class="comment"> ______________</span></div><div class="line"><a name="l01865"></a><span class="lineno"> 1865</span>&#160;<span class="comment"> |\ |\</span></div><div class="line"><a name="l01866"></a><span class="lineno"> 1866</span>&#160;<span class="comment"> | \ | \</span></div><div class="line"><a name="l01867"></a><span class="lineno"> 1867</span>&#160;<span class="comment"> | \P3____________\</span></div><div class="line"><a name="l01868"></a><span class="lineno"> 1868</span>&#160;<span class="comment"> | | | |</span></div><div class="line"><a name="l01869"></a><span class="lineno"> 1869</span>&#160;<span class="comment"> | | | |</span></div><div class="line"><a name="l01870"></a><span class="lineno"> 1870</span>&#160;<span class="comment"> | | | |</span></div><div class="line"><a name="l01871"></a><span class="lineno"> 1871</span>&#160;<span class="comment"> P2---|---------- |</span></div><div class="line"><a name="l01872"></a><span class="lineno"> 1872</span>&#160;<span class="comment"> \ | \ |</span></div><div class="line"><a name="l01873"></a><span class="lineno"> 1873</span>&#160;<span class="comment"> \ |z \ |</span></div><div class="line"><a name="l01874"></a><span class="lineno"> 1874</span>&#160;<span class="comment"> y \ | \ |</span></div><div class="line"><a name="l01875"></a><span class="lineno"> 1875</span>&#160;<span class="comment"> \P0____________P1</span></div><div class="line"><a name="l01876"></a><span class="lineno"><a class="line" href="../../d6/d81/class_o_n___bezier_cage.html#a99ceb581daec726e4659b8f1f6ef4495"> 1876</a></span>&#160;<span class="comment"> x</span></div><div class="line"><a name="l01877"></a><span class="lineno"><a class="line" href="../../d6/d81/class_o_n___bezier_cage.html#abc9fc86074e4101f37157c1a0bc7cfd7"> 1877</a></span>&#160;<span class="comment"></span></div><div class="line"><a name="l01878"></a><span class="lineno"><a class="line" href="../../d6/d81/class_o_n___bezier_cage.html#a89ccab5d7265f6217cf53270f85ac4a8"> 1878</a></span>&#160;<span class="comment"></span></div><div class="line"><a name="l01879"></a><span class="lineno"><a class="line" href="../../d6/d81/class_o_n___bezier_cage.html#a0f2152ab88d0751ad6ff1ebadf84de25"> 1879</a></span>&#160;<span class="comment"> point_countX - [in]</span></div><div class="line"><a name="l01880"></a><span class="lineno"><a class="line" href="../../d6/d81/class_o_n___bezier_cage.html#a45f782b8f6dc8dd70316378471d3ffec"> 1880</a></span>&#160;<span class="comment"> point_countY - [in]</span></div><div class="line"><a name="l01881"></a><span class="lineno"><a class="line" href="../../d6/d81/class_o_n___bezier_cage.html#a298d73a1981683d688ca586378dffaec"> 1881</a></span>&#160;<span class="comment"> point_countZ - [in]</span></div><div class="line"><a name="l01882"></a><span class="lineno"> 1882</span>&#160;<span class="comment"> Number of control points in the bezier volume map. The </span></div><div class="line"><a name="l01883"></a><span class="lineno"> 1883</span>&#160;<span class="comment"> bezier volume in the returned morph is the identity map</span></div><div class="line"><a name="l01884"></a><span class="lineno"> 1884</span>&#160;<span class="comment"> which can be modified as needed.</span></div><div class="line"><a name="l01885"></a><span class="lineno"><a class="line" href="../../de/d9b/class_o_n___bezier_cage_morph.html"> 1885</a></span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l01886"></a><span class="lineno"> 1886</span>&#160;<span class="comment"> True if resulting morph is valid.</span></div><div class="line"><a name="l01887"></a><span class="lineno"> 1887</span>&#160;<span class="comment"> See Also:</span></div><div class="line"><a name="l01888"></a><span class="lineno"> 1888</span>&#160;<span class="comment"> ON_BezierCage::SetBezierCage</span></div><div class="line"><a name="l01889"></a><span class="lineno"> 1889</span>&#160;<span class="comment"> ON_BezierCage::SetXform</span></div><div class="line"><a name="l01890"></a><span class="lineno"> 1890</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01891"></a><span class="lineno"> 1891</span>&#160; <span class="keywordtype">bool</span> Create( </div><div class="line"><a name="l01892"></a><span class="lineno"> 1892</span>&#160; <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> P0,</div><div class="line"><a name="l01893"></a><span class="lineno"> 1893</span>&#160; <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> P1,</div><div class="line"><a name="l01894"></a><span class="lineno"> 1894</span>&#160; <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> P2,</div><div class="line"><a name="l01895"></a><span class="lineno"> 1895</span>&#160; <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> P3,</div><div class="line"><a name="l01896"></a><span class="lineno"> 1896</span>&#160; <span class="keywordtype">int</span> point_countX,</div><div class="line"><a name="l01897"></a><span class="lineno"> 1897</span>&#160; <span class="keywordtype">int</span> point_countY,</div><div class="line"><a name="l01898"></a><span class="lineno"> 1898</span>&#160; <span class="keywordtype">int</span> point_countZ</div><div class="line"><a name="l01899"></a><span class="lineno"> 1899</span>&#160; );</div><div class="line"><a name="l01900"></a><span class="lineno"> 1900</span>&#160;</div><div class="line"><a name="l01901"></a><span class="lineno"> 1901</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01902"></a><span class="lineno"> 1902</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l01903"></a><span class="lineno"> 1903</span>&#160;<span class="comment"> Set the world to unit cube map.</span></div><div class="line"><a name="l01904"></a><span class="lineno"> 1904</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l01905"></a><span class="lineno"> 1905</span>&#160;<span class="comment"> world2unitcube - [in]</span></div><div class="line"><a name="l01906"></a><span class="lineno"> 1906</span>&#160;<span class="comment"> Tranformation matrix that maps world coordinates</span></div><div class="line"><a name="l01907"></a><span class="lineno"> 1907</span>&#160;<span class="comment"> to the unit cube (0,1)x(0,1)x(0,1).</span></div><div class="line"><a name="l01908"></a><span class="lineno"> 1908</span>&#160;<span class="comment"> Returns</span></div><div class="line"><a name="l01909"></a><span class="lineno"> 1909</span>&#160;<span class="comment"> True if current bezier volum and input transformation</span></div><div class="line"><a name="l01910"></a><span class="lineno"> 1910</span>&#160;<span class="comment"> matrix are valid. In all cases, the morph&#39;s m_xyz2rst</span></div><div class="line"><a name="l01911"></a><span class="lineno"> 1911</span>&#160;<span class="comment"> member is set.</span></div><div class="line"><a name="l01912"></a><span class="lineno"> 1912</span>&#160;<span class="comment"> See Also:</span></div><div class="line"><a name="l01913"></a><span class="lineno"> 1913</span>&#160;<span class="comment"> ON_BezierCage::Create</span></div><div class="line"><a name="l01914"></a><span class="lineno"> 1914</span>&#160;<span class="comment"> ON_BezierCage::SetBezierCage</span></div><div class="line"><a name="l01915"></a><span class="lineno"> 1915</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01916"></a><span class="lineno"> 1916</span>&#160; <span class="keywordtype">bool</span> SetXform( <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> world2unitcube );</div><div class="line"><a name="l01917"></a><span class="lineno"> 1917</span>&#160;</div><div class="line"><a name="l01918"></a><span class="lineno"> 1918</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01919"></a><span class="lineno"> 1919</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l01920"></a><span class="lineno"> 1920</span>&#160;<span class="comment"> Set the unit cube to world map.</span></div><div class="line"><a name="l01921"></a><span class="lineno"> 1921</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l01922"></a><span class="lineno"> 1922</span>&#160;<span class="comment"> world2unitcube - [in]</span></div><div class="line"><a name="l01923"></a><span class="lineno"> 1923</span>&#160;<span class="comment"> Bezier volume map from the unit cube (0,1)x(0,1)x(0,1)</span></div><div class="line"><a name="l01924"></a><span class="lineno"> 1924</span>&#160;<span class="comment"> to world space.</span></div><div class="line"><a name="l01925"></a><span class="lineno"> 1925</span>&#160;<span class="comment"> Returns</span></div><div class="line"><a name="l01926"></a><span class="lineno"> 1926</span>&#160;<span class="comment"> True if current transformation matrix and input</span></div><div class="line"><a name="l01927"></a><span class="lineno"> 1927</span>&#160;<span class="comment"> bezier volume are valid. In all cases, the </span></div><div class="line"><a name="l01928"></a><span class="lineno"> 1928</span>&#160;<span class="comment"> morph&#39;s m_rst2xyz member is set.</span></div><div class="line"><a name="l01929"></a><span class="lineno"> 1929</span>&#160;<span class="comment"> See Also:</span></div><div class="line"><a name="l01930"></a><span class="lineno"> 1930</span>&#160;<span class="comment"> ON_BezierCage::Create</span></div><div class="line"><a name="l01931"></a><span class="lineno"> 1931</span>&#160;<span class="comment"> ON_BezierCage::SetXform</span></div><div class="line"><a name="l01932"></a><span class="lineno"> 1932</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01933"></a><span class="lineno"> 1933</span>&#160; <span class="keywordtype">bool</span> SetBezierCage( <a class="code" href="../../d6/d81/class_o_n___bezier_cage.html">ON_BezierCage</a>&amp; unitcube2world );</div><div class="line"><a name="l01934"></a><span class="lineno"> 1934</span>&#160;</div><div class="line"><a name="l01935"></a><span class="lineno"> 1935</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>&amp; WorldToUnitCube() <span class="keyword">const</span>;</div><div class="line"><a name="l01936"></a><span class="lineno"> 1936</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d6/d81/class_o_n___bezier_cage.html">ON_BezierCage</a>&amp; BezierCage() <span class="keyword">const</span>;</div><div class="line"><a name="l01937"></a><span class="lineno"> 1937</span>&#160;</div><div class="line"><a name="l01938"></a><span class="lineno"> 1938</span>&#160; <span class="keywordtype">bool</span> Read(<a class="code" href="../../db/d16/class_o_n___binary_archive.html">ON_BinaryArchive</a>&amp; archive);</div><div class="line"><a name="l01939"></a><span class="lineno"> 1939</span>&#160; <span class="keywordtype">bool</span> Write(<a class="code" href="../../db/d16/class_o_n___binary_archive.html">ON_BinaryArchive</a>&amp; archive) <span class="keyword">const</span>;</div><div class="line"><a name="l01940"></a><span class="lineno"> 1940</span>&#160;</div><div class="line"><a name="l01941"></a><span class="lineno"> 1941</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01942"></a><span class="lineno"> 1942</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l01943"></a><span class="lineno"> 1943</span>&#160;<span class="comment"> Transforms the morph by transforming the bezier volume map.</span></div><div class="line"><a name="l01944"></a><span class="lineno"> 1944</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l01945"></a><span class="lineno"> 1945</span>&#160;<span class="comment"> xform - [in]</span></div><div class="line"><a name="l01946"></a><span class="lineno"> 1946</span>&#160;<span class="comment"> Returns</span></div><div class="line"><a name="l01947"></a><span class="lineno"> 1947</span>&#160;<span class="comment"> True if input is valid.</span></div><div class="line"><a name="l01948"></a><span class="lineno"> 1948</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01949"></a><span class="lineno"> 1949</span>&#160; <span class="keywordtype">bool</span> Transform(<span class="keyword">const</span> <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>&amp; xform);</div><div class="line"><a name="l01950"></a><span class="lineno"> 1950</span>&#160;</div><div class="line"><a name="l01951"></a><span class="lineno"> 1951</span>&#160;<span class="keyword">private</span>:</div><div class="line"><a name="l01952"></a><span class="lineno"> 1952</span>&#160; <span class="keywordtype">bool</span> m_bValid;</div><div class="line"><a name="l01953"></a><span class="lineno"> 1953</span>&#160;</div><div class="line"><a name="l01954"></a><span class="lineno"> 1954</span>&#160; <span class="comment">// transforms world (x,y,z) coordinate into</span></div><div class="line"><a name="l01955"></a><span class="lineno"> 1955</span>&#160; <span class="comment">// unit cube.</span></div><div class="line"><a name="l01956"></a><span class="lineno"> 1956</span>&#160; <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> m_xyz2rst;</div><div class="line"><a name="l01957"></a><span class="lineno"> 1957</span>&#160;</div><div class="line"><a name="l01958"></a><span class="lineno"> 1958</span>&#160; <span class="comment">// function that maps unit cube into world</span></div><div class="line"><a name="l01959"></a><span class="lineno"> 1959</span>&#160; <a class="code" href="../../d6/d81/class_o_n___bezier_cage.html">ON_BezierCage</a> m_rst2xyz;</div><div class="line"><a name="l01960"></a><span class="lineno"> 1960</span>&#160;};</div><div class="line"><a name="l01961"></a><span class="lineno"> 1961</span>&#160;</div><div class="line"><a name="l01962"></a><span class="lineno"> 1962</span>&#160;<span class="preprocessor">#if defined(ON_DLL_TEMPLATE)</span></div><div class="line"><a name="l01963"></a><span class="lineno"> 1963</span>&#160;ON_DLL_TEMPLATE <span class="keyword">template</span> <span class="keyword">class </span>ON_CLASS <a class="code" href="../../dd/d40/class_o_n___class_array.html">ON_ClassArray&lt;ON_BezierCurve&gt;</a>;</div><div class="line"><a name="l01964"></a><span class="lineno"> 1964</span>&#160;ON_DLL_TEMPLATE <span class="keyword">template</span> <span class="keyword">class </span>ON_CLASS <a class="code" href="../../dc/dfe/class_o_n___simple_array.html">ON_SimpleArray&lt;ON_BezierCurve*&gt;</a>;</div><div class="line"><a name="l01965"></a><span class="lineno"> 1965</span>&#160;ON_DLL_TEMPLATE <span class="keyword">template</span> <span class="keyword">class </span>ON_CLASS <a class="code" href="../../dd/d40/class_o_n___class_array.html">ON_ClassArray&lt;ON_BezierSurface&gt;</a>;</div><div class="line"><a name="l01966"></a><span class="lineno"> 1966</span>&#160;ON_DLL_TEMPLATE <span class="keyword">template</span> <span class="keyword">class </span>ON_CLASS <a class="code" href="../../dc/dfe/class_o_n___simple_array.html">ON_SimpleArray&lt;ON_BezierSurface*&gt;</a>;</div><div class="line"><a name="l01967"></a><span class="lineno"> 1967</span>&#160;ON_DLL_TEMPLATE <span class="keyword">template</span> <span class="keyword">class </span>ON_CLASS <a class="code" href="../../dd/d40/class_o_n___class_array.html">ON_ClassArray&lt;ON_BezierCage&gt;</a>;</div><div class="line"><a name="l01968"></a><span class="lineno"> 1968</span>&#160;ON_DLL_TEMPLATE <span class="keyword">template</span> <span class="keyword">class </span>ON_CLASS <a class="code" href="../../dc/dfe/class_o_n___simple_array.html">ON_SimpleArray&lt;ON_BezierCage*&gt;</a>;</div><div class="line"><a name="l01969"></a><span class="lineno"> 1969</span>&#160;ON_DLL_TEMPLATE <span class="keyword">template</span> <span class="keyword">class </span>ON_CLASS <a class="code" href="../../dd/d40/class_o_n___class_array.html">ON_ClassArray&lt;ON_BezierCageMorph&gt;</a>;</div><div class="line"><a name="l01970"></a><span class="lineno"> 1970</span>&#160;ON_DLL_TEMPLATE <span class="keyword">template</span> <span class="keyword">class </span>ON_CLASS <a class="code" href="../../dc/dfe/class_o_n___simple_array.html">ON_SimpleArray&lt;ON_BezierCageMorph*&gt;</a>;</div><div class="line"><a name="l01971"></a><span class="lineno"> 1971</span>&#160;<span class="preprocessor">#endif</span></div><div class="line"><a name="l01972"></a><span class="lineno"> 1972</span>&#160;</div><div class="line"><a name="l01973"></a><span class="lineno"> 1973</span>&#160;<span class="preprocessor">#endif</span></div><div class="ttc" id="class_o_n__4d_point_array_html"><div class="ttname"><a href="../../d2/d9b/class_o_n__4d_point_array.html">ON_4dPointArray</a></div><div class="ttdef"><b>Definition:</b> opennurbs_point.h:2255</div></div>
<div class="ttc" id="class_o_n___polynomial_surface_html"><div class="ttname"><a href="../../df/d4e/class_o_n___polynomial_surface.html">ON_PolynomialSurface</a></div><div class="ttdef"><b>Definition:</b> opennurbs_bezier.h:110</div></div>
<div class="ttc" id="class_o_n___nurbs_surface_html"><div class="ttname"><a href="../../de/ddc/class_o_n___nurbs_surface.html">ON_NurbsSurface</a></div><div class="ttdef"><b>Definition:</b> opennurbs_nurbssurface.h:62</div></div>
<div class="ttc" id="class_o_n___simple_array_html"><div class="ttname"><a href="../../dc/dfe/class_o_n___simple_array.html">ON_SimpleArray</a></div><div class="ttdef"><b>Definition:</b> opennurbs_array.h:36</div></div>
<div class="ttc" id="class_o_n__3d_point_array_html"><div class="ttname"><a href="../../d9/d13/class_o_n__3d_point_array.html">ON_3dPointArray</a></div><div class="ttdef"><b>Definition:</b> opennurbs_point.h:2018</div></div>
<div class="ttc" id="class_o_n__4d_point_html"><div class="ttname"><a href="../../d9/db1/class_o_n__4d_point.html">ON_4dPoint</a></div><div class="ttdef"><b>Definition:</b> opennurbs_point.h:648</div></div>
<div class="ttc" id="class_o_n___bounding_box_html"><div class="ttname"><a href="../../d1/d17/class_o_n___bounding_box.html">ON_BoundingBox</a></div><div class="ttdef"><b>Definition:</b> opennurbs_bounding_box.h:25</div></div>
<div class="ttc" id="class_o_n___space_morph_html"><div class="ttname"><a href="../../da/d04/class_o_n___space_morph.html">ON_SpaceMorph</a></div><div class="ttdef"><b>Definition:</b> opennurbs_xform.h:1502</div></div>
<div class="ttc" id="class_o_n___xform_html"><div class="ttname"><a href="../../d3/d13/class_o_n___xform.html">ON_Xform</a></div><div class="ttdef"><b>Definition:</b> opennurbs_xform.h:28</div></div>
<div class="ttc" id="class_o_n___bezier_cage_morph_html"><div class="ttname"><a href="../../de/d9b/class_o_n___bezier_cage_morph.html">ON_BezierCageMorph</a></div><div class="ttdef"><b>Definition:</b> opennurbs_bezier.h:1885</div></div>
<div class="ttc" id="class_o_n___bezier_curve_html"><div class="ttname"><a href="../../d9/d6f/class_o_n___bezier_curve.html">ON_BezierCurve</a></div><div class="ttdef"><b>Definition:</b> opennurbs_bezier.h:150</div></div>
<div class="ttc" id="class_o_n___bezier_cage_html"><div class="ttname"><a href="../../d6/d81/class_o_n___bezier_cage.html">ON_BezierCage</a></div><div class="ttdef"><b>Definition:</b> opennurbs_bezier.h:1404</div></div>
<div class="ttc" id="class_o_n___class_array_html"><div class="ttname"><a href="../../dd/d40/class_o_n___class_array.html">ON_ClassArray</a></div><div class="ttdef"><b>Definition:</b> opennurbs_array.h:409</div></div>
<div class="ttc" id="class_o_n___nurbs_curve_html"><div class="ttname"><a href="../../d3/d6a/class_o_n___nurbs_curve.html">ON_NurbsCurve</a></div><div class="ttdef"><b>Definition:</b> opennurbs_nurbscurve.h:26</div></div>
<div class="ttc" id="class_o_n___text_log_html"><div class="ttname"><a href="../../d2/da3/class_o_n___text_log.html">ON_TextLog</a></div><div class="ttdef"><b>Definition:</b> opennurbs_textlog.h:20</div></div>
<div class="ttc" id="class_o_n___binary_archive_html"><div class="ttname"><a href="../../db/d16/class_o_n___binary_archive.html">ON_BinaryArchive</a></div><div class="ttdef"><b>Definition:</b> opennurbs_archive.h:1783</div></div>
<div class="ttc" id="class_o_n___bezier_surface_html"><div class="ttname"><a href="../../d7/dc7/class_o_n___bezier_surface.html">ON_BezierSurface</a></div><div class="ttdef"><b>Definition:</b> opennurbs_bezier.h:1061</div></div>
<div class="ttc" id="class_o_n__3d_point_html"><div class="ttname"><a href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a></div><div class="ttdef"><b>Definition:</b> opennurbs_point.h:460</div></div>
<div class="ttc" id="class_o_n___polynomial_curve_html"><div class="ttname"><a href="../../d1/d97/class_o_n___polynomial_curve.html">ON_PolynomialCurve</a></div><div class="ttdef"><b>Definition:</b> opennurbs_bezier.h:29</div></div>
<div class="ttc" id="class_o_n__3d_vector_html"><div class="ttname"><a href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a></div><div class="ttdef"><b>Definition:</b> opennurbs_point.h:1152</div></div>
<div class="ttc" id="class_o_n___interval_html"><div class="ttname"><a href="../../dc/dc7/class_o_n___interval.html">ON_Interval</a></div><div class="ttdef"><b>Definition:</b> opennurbs_point.h:46</div></div>
<div class="ttc" id="class_o_n__2d_point_array_html"><div class="ttname"><a href="../../d0/dcd/class_o_n__2d_point_array.html">ON_2dPointArray</a></div><div class="ttdef"><b>Definition:</b> opennurbs_point.h:1973</div></div>
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