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<div class="title">opennurbs_curve.h</div> </div>
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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span>&#160;<span class="comment">/* $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;<span class="comment"></span></div><div class="line"><a name="l00017"></a><span class="lineno"> 17</span>&#160;<span class="comment">////////////////////////////////////////////////////////////////</span></div><div class="line"><a name="l00018"></a><span class="lineno"> 18</span>&#160;<span class="comment"></span><span class="comment">//</span></div><div class="line"><a name="l00019"></a><span class="lineno"> 19</span>&#160;<span class="comment">// Definition of virtual parametric curve</span></div><div class="line"><a name="l00020"></a><span class="lineno"> 20</span>&#160;<span class="comment">//</span><span class="comment"></span></div><div class="line"><a name="l00021"></a><span class="lineno"> 21</span>&#160;<span class="comment">////////////////////////////////////////////////////////////////</span></div><div class="line"><a name="l00022"></a><span class="lineno"> 22</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00023"></a><span class="lineno"> 23</span>&#160;<span class="preprocessor">#if !defined(OPENNURBS_CURVE_INC_)</span></div><div class="line"><a name="l00024"></a><span class="lineno"> 24</span>&#160;<span class="preprocessor">#define OPENNURBS_CURVE_INC_</span></div><div class="line"><a name="l00025"></a><span class="lineno"> 25</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00026"></a><span class="lineno"> 26</span>&#160;<span class="comment">////////////////////////////////////////////////////////////////</span></div><div class="line"><a name="l00027"></a><span class="lineno"> 27</span>&#160;<span class="comment">////////////////////////////////////////////////////////////////</span></div><div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00029"></a><span class="lineno"><a class="line" href="../../d5/d39/class_o_n___mesh_curve_parameters.html"> 29</a></span>&#160;<span class="keyword">class </span>ON_CLASS <a class="code" href="../../d5/d39/class_o_n___mesh_curve_parameters.html">ON_MeshCurveParameters</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="../../d5/d39/class_o_n___mesh_curve_parameters.html">ON_MeshCurveParameters</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">// If main_seg_count &lt;= 0, then both these parameters are ignored.</span></div><div class="line"><a name="l00035"></a><span class="lineno"> 35</span>&#160; <span class="comment">// If main_seg_count &gt; 0, then sub_seg_count must be &gt;= 1. In this</span></div><div class="line"><a name="l00036"></a><span class="lineno"> 36</span>&#160; <span class="comment">// case the curve will be broken into main_seg_count equally spaced</span></div><div class="line"><a name="l00037"></a><span class="lineno"> 37</span>&#160; <span class="comment">// chords. If needed, each of these chords can be split into as many</span></div><div class="line"><a name="l00038"></a><span class="lineno"> 38</span>&#160; <span class="comment">// sub_seg_count sub-parts if the subdivision is necessary for the</span></div><div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160; <span class="comment">// mesh to meet the other meshing constraints. In particular, if</span></div><div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160; <span class="comment">// sub_seg_count = 0, then the curve is broken into main_seg_count</span></div><div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160; <span class="comment">// pieces and no further testing is performed.</span></div><div class="line"><a name="l00042"></a><span class="lineno"><a class="line" href="../../d5/d39/class_o_n___mesh_curve_parameters.html#a5420cf4aec2d43f3a31a3813ec6f3fae"> 42</a></span>&#160; <span class="keywordtype">int</span> <a class="code" href="../../d5/d39/class_o_n___mesh_curve_parameters.html#a5420cf4aec2d43f3a31a3813ec6f3fae">m_main_seg_count</a>; </div><div class="line"><a name="l00043"></a><span class="lineno"><a class="line" href="../../d5/d39/class_o_n___mesh_curve_parameters.html#a878ef434706f9c224ae32252fbc71eff"> 43</a></span>&#160; <span class="keywordtype">int</span> <a class="code" href="../../d5/d39/class_o_n___mesh_curve_parameters.html#a878ef434706f9c224ae32252fbc71eff">m_sub_seg_count</a>;</div><div class="line"><a name="l00044"></a><span class="lineno"> 44</span>&#160;</div><div class="line"><a name="l00045"></a><span class="lineno"><a class="line" href="../../d5/d39/class_o_n___mesh_curve_parameters.html#a0932d2f06a82f7487c97f719063da889"> 45</a></span>&#160; <span class="keywordtype">int</span> <a class="code" href="../../d5/d39/class_o_n___mesh_curve_parameters.html#a0932d2f06a82f7487c97f719063da889">m_reserved1</a>;</div><div class="line"><a name="l00046"></a><span class="lineno"><a class="line" href="../../d5/d39/class_o_n___mesh_curve_parameters.html#a56ef02a7022f337b2362000cf6fdfd19"> 46</a></span>&#160; <span class="keywordtype">int</span> <a class="code" href="../../d5/d39/class_o_n___mesh_curve_parameters.html#a56ef02a7022f337b2362000cf6fdfd19">m_reserved2</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; <span class="comment">// Maximum angle (in radians) between unit tangents at adjacent</span></div><div class="line"><a name="l00049"></a><span class="lineno"> 49</span>&#160; <span class="comment">// vertices.</span></div><div class="line"><a name="l00050"></a><span class="lineno"><a class="line" href="../../d5/d39/class_o_n___mesh_curve_parameters.html#a0b10dc8b1f960de99315aa742947f512"> 50</a></span>&#160; <span class="keywordtype">double</span> <a class="code" href="../../d5/d39/class_o_n___mesh_curve_parameters.html#a0b10dc8b1f960de99315aa742947f512">m_max_ang_radians</a>;</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; <span class="comment">// Maximum permitted value of </span></div><div class="line"><a name="l00053"></a><span class="lineno"> 53</span>&#160; <span class="comment">// distance chord midpoint to curve) / (length of chord)</span></div><div class="line"><a name="l00054"></a><span class="lineno"><a class="line" href="../../d5/d39/class_o_n___mesh_curve_parameters.html#a7e188b522a8e0d138e419720eeeb18ab"> 54</a></span>&#160; <span class="keywordtype">double</span> <a class="code" href="../../d5/d39/class_o_n___mesh_curve_parameters.html#a7e188b522a8e0d138e419720eeeb18ab">m_max_chr</a>;</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">// If max_aspect &lt; 1.0, the parameter is ignored. </span></div><div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160; <span class="comment">// If 1 &lt;= max_aspect &lt; sqrt(2), it is treated as if </span></div><div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160; <span class="comment">// max_aspect = sqrt(2).</span></div><div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160; <span class="comment">// This parameter controls the maximum permitted value of</span></div><div class="line"><a name="l00060"></a><span class="lineno"> 60</span>&#160; <span class="comment">// (length of longest chord) / (length of shortest chord)</span></div><div class="line"><a name="l00061"></a><span class="lineno"><a class="line" href="../../d5/d39/class_o_n___mesh_curve_parameters.html#a60e6b6ed4c652f8f6ebff8f7fd86a4de"> 61</a></span>&#160; <span class="keywordtype">double</span> <a class="code" href="../../d5/d39/class_o_n___mesh_curve_parameters.html#a60e6b6ed4c652f8f6ebff8f7fd86a4de">m_max_aspect</a>;</div><div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160;</div><div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160; <span class="comment">// If tolerance = 0, the parameter is ignored.</span></div><div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160; <span class="comment">// This parameter controls the maximum permitted value of the</span></div><div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160; <span class="comment">// distance from the curve to the mesh. </span></div><div class="line"><a name="l00066"></a><span class="lineno"><a class="line" href="../../d5/d39/class_o_n___mesh_curve_parameters.html#a4632563221b8e2386048039d0c4fb2f1"> 66</a></span>&#160; <span class="keywordtype">double</span> <a class="code" href="../../d5/d39/class_o_n___mesh_curve_parameters.html#a4632563221b8e2386048039d0c4fb2f1">m_tolerance</a>;</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">// If m_min_edge_length = 0, the parameter is ignored.</span></div><div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160; <span class="comment">// This parameter controls the minimum permitted edge length.</span></div><div class="line"><a name="l00070"></a><span class="lineno"><a class="line" href="../../d5/d39/class_o_n___mesh_curve_parameters.html#ab678adaa6c56bbf3b4128026fda1ec95"> 70</a></span>&#160; <span class="keywordtype">double</span> <a class="code" href="../../d5/d39/class_o_n___mesh_curve_parameters.html#ab678adaa6c56bbf3b4128026fda1ec95">m_min_edge_length</a>;</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">// If max_edge_length = 0, the parameter is ignored.</span></div><div class="line"><a name="l00073"></a><span class="lineno"> 73</span>&#160; <span class="comment">// This parameter controls the maximum permitted edge length.</span></div><div class="line"><a name="l00074"></a><span class="lineno"><a class="line" href="../../d5/d39/class_o_n___mesh_curve_parameters.html#ad4fc1da4188d886d8e5bc764ce123987"> 74</a></span>&#160; <span class="keywordtype">double</span> <a class="code" href="../../d5/d39/class_o_n___mesh_curve_parameters.html#ad4fc1da4188d886d8e5bc764ce123987">m_max_edge_length</a>;</div><div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160;</div><div class="line"><a name="l00076"></a><span class="lineno"><a class="line" href="../../d5/d39/class_o_n___mesh_curve_parameters.html#a1b69fcde95e65dfc3c64eec07b41af2c"> 76</a></span>&#160; <span class="keywordtype">double</span> <a class="code" href="../../d5/d39/class_o_n___mesh_curve_parameters.html#a1b69fcde95e65dfc3c64eec07b41af2c">m_reserved3</a>;</div><div class="line"><a name="l00077"></a><span class="lineno"><a class="line" href="../../d5/d39/class_o_n___mesh_curve_parameters.html#abc8217794b7c2347fd82cb71d6285b18"> 77</a></span>&#160; <span class="keywordtype">double</span> <a class="code" href="../../d5/d39/class_o_n___mesh_curve_parameters.html#abc8217794b7c2347fd82cb71d6285b18">m_reserved4</a>;</div><div class="line"><a name="l00078"></a><span class="lineno"> 78</span>&#160;};</div><div class="line"><a name="l00079"></a><span class="lineno"> 79</span>&#160;</div><div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160;<span class="comment">/*</span></div><div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160;<span class="comment">Description:</span></div><div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160;<span class="comment"> ON_Curve is a pure virtual class for curve objects</span></div><div class="line"><a name="l00083"></a><span class="lineno"> 83</span>&#160;<span class="comment"> - Any class derived from ON_Curve should have a</span></div><div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160;<span class="comment"> ON_OBJECT_DECLARE(ON_...);</span></div><div class="line"><a name="l00085"></a><span class="lineno"> 85</span>&#160;<span class="comment"> at the beginning of its class definition and a</span></div><div class="line"><a name="l00086"></a><span class="lineno"> 86</span>&#160;<span class="comment"> ON_OBJECT_IMPLEMENT( ON_..., ON_Curve );</span></div><div class="line"><a name="l00087"></a><span class="lineno"> 87</span>&#160;<span class="comment"> in a .cpp file.</span></div><div class="line"><a name="l00088"></a><span class="lineno"> 88</span>&#160;<span class="comment">Example:</span></div><div class="line"><a name="l00089"></a><span class="lineno"> 89</span>&#160;<span class="comment"> - See the definition of ON_NurbsCurve for an example.</span></div><div class="line"><a name="l00090"></a><span class="lineno"> 90</span>&#160;<span class="comment">*/</span></div><div class="line"><a name="l00091"></a><span class="lineno"> 91</span>&#160;<span class="keyword">class </span>ON_CLASS <a class="code" href="../../d4/d5a/class_o_n___curve.html">ON_Curve</a> : <span class="keyword">public</span> <a class="code" href="../../df/de0/class_o_n___geometry.html">ON_Geometry</a></div><div class="line"><a name="l00092"></a><span class="lineno"> 92</span>&#160;{</div><div class="line"><a name="l00093"></a><span class="lineno"><a class="line" href="../../d4/d5a/class_o_n___curve.html"> 93</a></span>&#160; ON_OBJECT_DECLARE(<a class="code" href="../../d4/d5a/class_o_n___curve.html">ON_Curve</a>);</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"> 95</span>&#160;<span class="keyword">public</span>:</div><div class="line"><a name="l00096"></a><span class="lineno"> 96</span>&#160; <a class="code" href="../../d4/d5a/class_o_n___curve.html">ON_Curve</a>() ON_NOEXCEPT;</div><div class="line"><a name="l00097"></a><span class="lineno"> 97</span>&#160; virtual ~<a class="code" href="../../d4/d5a/class_o_n___curve.html">ON_Curve</a>();</div><div class="line"><a name="l00098"></a><span class="lineno"> 98</span>&#160; ON_Curve(const ON_Curve&amp;);</div><div class="line"><a name="l00099"></a><span class="lineno"> 99</span>&#160; ON_Curve&amp; operator=(const ON_Curve&amp;);</div><div class="line"><a name="l00100"></a><span class="lineno"> 100</span>&#160;</div><div class="line"><a name="l00101"></a><span class="lineno"> 101</span>&#160;<span class="preprocessor">#if defined(ON_HAS_RVALUEREF)</span></div><div class="line"><a name="l00102"></a><span class="lineno"> 102</span>&#160; <span class="comment">// rvalue copy constructor</span></div><div class="line"><a name="l00103"></a><span class="lineno"> 103</span>&#160; ON_Curve( ON_Curve&amp;&amp; ) ON_NOEXCEPT;</div><div class="line"><a name="l00104"></a><span class="lineno"> 104</span>&#160;</div><div class="line"><a name="l00105"></a><span class="lineno"> 105</span>&#160; <span class="comment">// The rvalue assignment operator calls ON_Object::operator=(ON_Object&amp;&amp;)</span></div><div class="line"><a name="l00106"></a><span class="lineno"> 106</span>&#160; <span class="comment">// which could throw exceptions. See the implementation of</span></div><div class="line"><a name="l00107"></a><span class="lineno"> 107</span>&#160; <span class="comment">// ON_Object::operator=(ON_Object&amp;&amp;) for details.</span></div><div class="line"><a name="l00108"></a><span class="lineno"> 108</span>&#160; ON_Curve&amp; operator=( ON_Curve&amp;&amp; );</div><div class="line"><a name="l00109"></a><span class="lineno"> 109</span>&#160;<span class="preprocessor">#endif</span></div><div class="line"><a name="l00110"></a><span class="lineno"> 110</span>&#160;</div><div class="line"><a name="l00111"></a><span class="lineno"> 111</span>&#160;<span class="keyword">public</span>:</div><div class="line"><a name="l00112"></a><span class="lineno"> 112</span>&#160; <span class="comment">// virtual ON_Object::DestroyRuntimeCache override</span></div><div class="line"><a name="l00113"></a><span class="lineno"> 113</span>&#160; <span class="keywordtype">void</span> <a class="code" href="../../d9/d7b/class_o_n___object.html#af8435c33ab53af41c22dac75e8917569">DestroyRuntimeCache</a>( <span class="keywordtype">bool</span> bDelete = <span class="keyword">true</span> ) <span class="keyword">override</span>;</div><div class="line"><a name="l00114"></a><span class="lineno"> 114</span>&#160;</div><div class="line"><a name="l00115"></a><span class="lineno"> 115</span>&#160; <span class="comment">// virtual ON_Object::SizeOf override</span></div><div class="line"><a name="l00116"></a><span class="lineno"> 116</span>&#160; <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> <a class="code" href="../../d9/d7b/class_o_n___object.html#a0299df21bfed90d7b5bfb24cdcf5e6c1">SizeOf</a>() <span class="keyword">const override</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; <span class="comment">// virtual ON_Geometry override</span></div><div class="line"><a name="l00119"></a><span class="lineno"> 119</span>&#160; <span class="keywordtype">bool</span> <a class="code" href="../../df/de0/class_o_n___geometry.html#adcb646d6ca698c092b73f2f05373bfc2">EvaluatePoint</a>( <span class="keyword">const</span> <span class="keyword">class</span> <a class="code" href="../../d3/d80/class_o_n___obj_ref.html">ON_ObjRef</a>&amp; objref, <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&amp; P ) <span class="keyword">const override</span>;</div><div class="line"><a name="l00120"></a><span class="lineno"> 120</span>&#160;</div><div class="line"><a name="l00121"></a><span class="lineno"> 121</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00122"></a><span class="lineno"> 122</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00123"></a><span class="lineno"> 123</span>&#160;<span class="comment"> Get a duplicate of the curve.</span></div><div class="line"><a name="l00124"></a><span class="lineno"> 124</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00125"></a><span class="lineno"> 125</span>&#160;<span class="comment"> A duplicate of the curve. </span></div><div class="line"><a name="l00126"></a><span class="lineno"> 126</span>&#160;<span class="comment"> Remarks:</span></div><div class="line"><a name="l00127"></a><span class="lineno"> 127</span>&#160;<span class="comment"> The caller must delete the returned curve.</span></div><div class="line"><a name="l00128"></a><span class="lineno"> 128</span>&#160;<span class="comment"> For non-ON_CurveProxy objects, this simply duplicates the curve using</span></div><div class="line"><a name="l00129"></a><span class="lineno"> 129</span>&#160;<span class="comment"> ON_Object::Duplicate.</span></div><div class="line"><a name="l00130"></a><span class="lineno"> 130</span>&#160;<span class="comment"> For ON_CurveProxy objects, this duplicates the actual proxy curve </span></div><div class="line"><a name="l00131"></a><span class="lineno"> 131</span>&#160;<span class="comment"> geometry and, if necessary, trims and reverse the result to that</span></div><div class="line"><a name="l00132"></a><span class="lineno"> 132</span>&#160;<span class="comment"> the returned curve&#39;s parameterization and locus match the proxy curve&#39;s.</span></div><div class="line"><a name="l00133"></a><span class="lineno"> 133</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00134"></a><span class="lineno"> 134</span>&#160; <span class="keyword">virtual</span></div><div class="line"><a name="l00135"></a><span class="lineno"> 135</span>&#160; ON_Curve* DuplicateCurve() <span class="keyword">const</span>;</div><div class="line"><a name="l00136"></a><span class="lineno"> 136</span>&#160;</div><div class="line"><a name="l00137"></a><span class="lineno"> 137</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00138"></a><span class="lineno"> 138</span>&#160; <span class="comment">// overrides virtual ON_Object::ObjectType.</span></div><div class="line"><a name="l00139"></a><span class="lineno"> 139</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00140"></a><span class="lineno"> 140</span>&#160; <span class="comment">// ON::curve_object</span></div><div class="line"><a name="l00141"></a><span class="lineno"> 141</span>&#160; ON::object_type <a class="code" href="../../d9/d7b/class_o_n___object.html#afa19aee4a411a8fda53aff00bd02d86e">ObjectType</a>() <span class="keyword">const override</span>;</div><div class="line"><a name="l00142"></a><span class="lineno"> 142</span>&#160;</div><div class="line"><a name="l00143"></a><span class="lineno"> 143</span>&#160; <span class="comment">// virtual ON_Geometry GetTightBoundingBox override </span></div><div class="line"><a name="l00144"></a><span class="lineno"> 144</span>&#160; <span class="keywordtype">bool</span> <a class="code" href="../../df/de0/class_o_n___geometry.html#ab59968e400d15d016517b7b4f2e32ea4">GetTightBoundingBox</a>( <span class="keyword">class</span> <a class="code" href="../../d1/d17/class_o_n___bounding_box.html">ON_BoundingBox</a>&amp; tight_bbox, <span class="keywordtype">bool</span> bGrowBox = <span class="keyword">false</span>, <span class="keyword">const</span> <span class="keyword">class</span> <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>* xform = <span class="keyword">nullptr</span> ) <span class="keyword">const override</span>;</div><div class="line"><a name="l00145"></a><span class="lineno"> 145</span>&#160;</div><div class="line"><a name="l00146"></a><span class="lineno"> 146</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00147"></a><span class="lineno"> 147</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00148"></a><span class="lineno"> 148</span>&#160;<span class="comment"> overrides virtual ON_Geometry::Transform().</span></div><div class="line"><a name="l00149"></a><span class="lineno"> 149</span>&#160;<span class="comment"> ON_Curve::Transform() calls ON_Geometry::Transform(xform),</span></div><div class="line"><a name="l00150"></a><span class="lineno"> 150</span>&#160;<span class="comment"> which calls ON_Object::TransformUserData(xform), and then</span></div><div class="line"><a name="l00151"></a><span class="lineno"> 151</span>&#160;<span class="comment"> calls this-&gt;DestroyCurveTree().</span></div><div class="line"><a name="l00152"></a><span class="lineno"> 152</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l00153"></a><span class="lineno"> 153</span>&#160;<span class="comment"> xform - [in] transformation to apply to object.</span></div><div class="line"><a name="l00154"></a><span class="lineno"> 154</span>&#160;<span class="comment"> Remarks:</span></div><div class="line"><a name="l00155"></a><span class="lineno"> 155</span>&#160;<span class="comment"> Classes derived from ON_Curve should call</span></div><div class="line"><a name="l00156"></a><span class="lineno"> 156</span>&#160;<span class="comment"> ON_Curve::Transform() to handle user data</span></div><div class="line"><a name="l00157"></a><span class="lineno"> 157</span>&#160;<span class="comment"> transformations and curve tree destruction</span></div><div class="line"><a name="l00158"></a><span class="lineno"> 158</span>&#160;<span class="comment"> and then transform their definition.</span></div><div class="line"><a name="l00159"></a><span class="lineno"> 159</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00160"></a><span class="lineno"> 160</span>&#160; <span class="keywordtype">bool</span> <a class="code" href="../../df/de0/class_o_n___geometry.html#add710872e89bc29e1ed1321b3e70b1b1">Transform</a>( </div><div class="line"><a name="l00161"></a><span class="lineno"> 161</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="l00162"></a><span class="lineno"> 162</span>&#160; ) <span class="keyword">override</span>;</div><div class="line"><a name="l00163"></a><span class="lineno"> 163</span>&#160;</div><div class="line"><a name="l00164"></a><span class="lineno"> 164</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00165"></a><span class="lineno"> 165</span>&#160;<span class="comment"> ////////////////////////////////////////////////////////////////////</span></div><div class="line"><a name="l00166"></a><span class="lineno"> 166</span>&#160;<span class="comment"></span> <span class="comment">// curve interface</span></div><div class="line"><a name="l00167"></a><span class="lineno"> 167</span>&#160;</div><div class="line"><a name="l00168"></a><span class="lineno"> 168</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00169"></a><span class="lineno"> 169</span>&#160; <span class="comment">// Gets domain of the curve</span></div><div class="line"><a name="l00170"></a><span class="lineno"> 170</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00171"></a><span class="lineno"> 171</span>&#160; <span class="comment">// t0 - [out]</span></div><div class="line"><a name="l00172"></a><span class="lineno"> 172</span>&#160; <span class="comment">// t1 - [out] domain is [*t0, *t1]</span></div><div class="line"><a name="l00173"></a><span class="lineno"> 173</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00174"></a><span class="lineno"> 174</span>&#160; <span class="comment">// true if successful.</span></div><div class="line"><a name="l00175"></a><span class="lineno"> 175</span>&#160; <span class="keywordtype">bool</span> GetDomain( <span class="keywordtype">double</span>* t0, <span class="keywordtype">double</span>* t1 ) <span class="keyword">const</span>;</div><div class="line"><a name="l00176"></a><span class="lineno"> 176</span>&#160;</div><div class="line"><a name="l00177"></a><span class="lineno"> 177</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00178"></a><span class="lineno"> 178</span>&#160; <span class="comment">// domain of the curve.</span></div><div class="line"><a name="l00179"></a><span class="lineno"> 179</span>&#160; <span class="keyword">virtual</span> </div><div class="line"><a name="l00180"></a><span class="lineno"> 180</span>&#160; <a class="code" href="../../dc/dc7/class_o_n___interval.html">ON_Interval</a> Domain() <span class="keyword">const</span> = 0;</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="comment">/*</span></div><div class="line"><a name="l00183"></a><span class="lineno"> 183</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00184"></a><span class="lineno"> 184</span>&#160;<span class="comment"> Set the domain of the curve.</span></div><div class="line"><a name="l00185"></a><span class="lineno"> 185</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l00186"></a><span class="lineno"> 186</span>&#160;<span class="comment"> domain - [in] increasing interval</span></div><div class="line"><a name="l00187"></a><span class="lineno"> 187</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00188"></a><span class="lineno"> 188</span>&#160;<span class="comment"> true if successful.</span></div><div class="line"><a name="l00189"></a><span class="lineno"> 189</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00190"></a><span class="lineno"> 190</span>&#160; <span class="keywordtype">bool</span> SetDomain( <a class="code" href="../../dc/dc7/class_o_n___interval.html">ON_Interval</a> domain );</div><div class="line"><a name="l00191"></a><span class="lineno"> 191</span>&#160;</div><div class="line"><a name="l00192"></a><span class="lineno"> 192</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00193"></a><span class="lineno"> 193</span>&#160; <span class="comment">// Set the domain of the curve</span></div><div class="line"><a name="l00194"></a><span class="lineno"> 194</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00195"></a><span class="lineno"> 195</span>&#160; <span class="comment">// t0 - [in]</span></div><div class="line"><a name="l00196"></a><span class="lineno"> 196</span>&#160; <span class="comment">// t1 - [in] new domain will be [t0,t1]</span></div><div class="line"><a name="l00197"></a><span class="lineno"> 197</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00198"></a><span class="lineno"> 198</span>&#160; <span class="comment">// true if successful.</span></div><div class="line"><a name="l00199"></a><span class="lineno"> 199</span>&#160; <span class="keyword">virtual</span></div><div class="line"><a name="l00200"></a><span class="lineno"> 200</span>&#160; <span class="keywordtype">bool</span> SetDomain( </div><div class="line"><a name="l00201"></a><span class="lineno"> 201</span>&#160; <span class="keywordtype">double</span> t0, </div><div class="line"><a name="l00202"></a><span class="lineno"> 202</span>&#160; <span class="keywordtype">double</span> t1 </div><div class="line"><a name="l00203"></a><span class="lineno"> 203</span>&#160; );</div><div class="line"><a name="l00204"></a><span class="lineno"> 204</span>&#160;</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="comment">/*</span></div><div class="line"><a name="l00207"></a><span class="lineno"> 207</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00208"></a><span class="lineno"> 208</span>&#160;<span class="comment"> If this curve is closed, then modify it so that</span></div><div class="line"><a name="l00209"></a><span class="lineno"> 209</span>&#160;<span class="comment"> the start/end point is at curve parameter t.</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"> t - [in] curve parameter of new start/end point. The</span></div><div class="line"><a name="l00212"></a><span class="lineno"> 212</span>&#160;<span class="comment"> returned curves domain will start at t.</span></div><div class="line"><a name="l00213"></a><span class="lineno"> 213</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00214"></a><span class="lineno"> 214</span>&#160;<span class="comment"> true if successful.</span></div><div class="line"><a name="l00215"></a><span class="lineno"> 215</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00216"></a><span class="lineno"> 216</span>&#160; <span class="keyword">virtual</span> </div><div class="line"><a name="l00217"></a><span class="lineno"> 217</span>&#160; <span class="keywordtype">bool</span> ChangeClosedCurveSeam( </div><div class="line"><a name="l00218"></a><span class="lineno"> 218</span>&#160; <span class="keywordtype">double</span> t </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">/*</span></div><div class="line"><a name="l00222"></a><span class="lineno"> 222</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00223"></a><span class="lineno"> 223</span>&#160;<span class="comment"> Change the dimension of a curve.</span></div><div class="line"><a name="l00224"></a><span class="lineno"> 224</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l00225"></a><span class="lineno"> 225</span>&#160;<span class="comment"> desired_dimension - [in]</span></div><div class="line"><a name="l00226"></a><span class="lineno"> 226</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00227"></a><span class="lineno"> 227</span>&#160;<span class="comment"> true if the curve&#39;s dimension was already desired_dimension</span></div><div class="line"><a name="l00228"></a><span class="lineno"> 228</span>&#160;<span class="comment"> or if the curve&#39;s dimension was successfully changed to</span></div><div class="line"><a name="l00229"></a><span class="lineno"> 229</span>&#160;<span class="comment"> desired_dimension.</span></div><div class="line"><a name="l00230"></a><span class="lineno"> 230</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00231"></a><span class="lineno"> 231</span>&#160; <span class="keyword">virtual</span></div><div class="line"><a name="l00232"></a><span class="lineno"> 232</span>&#160; <span class="keywordtype">bool</span> ChangeDimension(</div><div class="line"><a name="l00233"></a><span class="lineno"> 233</span>&#160; <span class="keywordtype">int</span> desired_dimension</div><div class="line"><a name="l00234"></a><span class="lineno"> 234</span>&#160; );</div><div class="line"><a name="l00235"></a><span class="lineno"> 235</span>&#160;</div><div class="line"><a name="l00236"></a><span class="lineno"> 236</span>&#160;</div><div class="line"><a name="l00237"></a><span class="lineno"> 237</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00238"></a><span class="lineno"> 238</span>&#160; <span class="comment">// Get number of nonempty smooth (c-infinity) spans in curve</span></div><div class="line"><a name="l00239"></a><span class="lineno"> 239</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00240"></a><span class="lineno"> 240</span>&#160; <span class="comment">// Number of nonempty smooth (c-infinity) spans.</span></div><div class="line"><a name="l00241"></a><span class="lineno"> 241</span>&#160; <span class="keyword">virtual</span> </div><div class="line"><a name="l00242"></a><span class="lineno"> 242</span>&#160; <span class="keywordtype">int</span> SpanCount() <span class="keyword">const</span> = 0;</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">// Get number of parameters of &quot;knots&quot;.</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">// knots - [out] an array of length SpanCount()+1 is filled in</span></div><div class="line"><a name="l00248"></a><span class="lineno"> 248</span>&#160; <span class="comment">// with the parameters where the curve is not smooth (C-infinity).</span></div><div class="line"><a name="l00249"></a><span class="lineno"> 249</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00250"></a><span class="lineno"> 250</span>&#160; <span class="comment">// true if successful</span></div><div class="line"><a name="l00251"></a><span class="lineno"> 251</span>&#160; <span class="keyword">virtual</span></div><div class="line"><a name="l00252"></a><span class="lineno"> 252</span>&#160; <span class="keywordtype">bool</span> GetSpanVector(</div><div class="line"><a name="l00253"></a><span class="lineno"> 253</span>&#160; <span class="keywordtype">double</span>* knots</div><div class="line"><a name="l00254"></a><span class="lineno"> 254</span>&#160; ) <span class="keyword">const</span> = 0; <span class="comment">// </span></div><div class="line"><a name="l00255"></a><span class="lineno"> 255</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00256"></a><span class="lineno"> 256</span>&#160;<span class="comment"> //////////</span></div><div class="line"><a name="l00257"></a><span class="lineno"> 257</span>&#160;<span class="comment"></span> <span class="comment">// If t is in the domain of the curve, GetSpanVectorIndex() returns the </span></div><div class="line"><a name="l00258"></a><span class="lineno"> 258</span>&#160; <span class="comment">// span vector index &quot;i&quot; such that span_vector[i] &lt;= t &lt;= span_vector[i+1].</span></div><div class="line"><a name="l00259"></a><span class="lineno"> 259</span>&#160; <span class="comment">// The &quot;side&quot; parameter determines which span is selected when t is at the</span></div><div class="line"><a name="l00260"></a><span class="lineno"> 260</span>&#160; <span class="comment">// end of a span.</span></div><div class="line"><a name="l00261"></a><span class="lineno"> 261</span>&#160; <span class="keyword">virtual</span></div><div class="line"><a name="l00262"></a><span class="lineno"> 262</span>&#160; <span class="keywordtype">bool</span> GetSpanVectorIndex(</div><div class="line"><a name="l00263"></a><span class="lineno"> 263</span>&#160; <span class="keywordtype">double</span> t , <span class="comment">// [IN] t = evaluation parameter</span></div><div class="line"><a name="l00264"></a><span class="lineno"> 264</span>&#160; <span class="keywordtype">int</span> side, <span class="comment">// [IN] side 0 = default, -1 = from below, +1 = from above</span></div><div class="line"><a name="l00265"></a><span class="lineno"> 265</span>&#160; <span class="keywordtype">int</span>* span_vector_index, <span class="comment">// [OUT] span vector index</span></div><div class="line"><a name="l00266"></a><span class="lineno"> 266</span>&#160; <a class="code" href="../../dc/dc7/class_o_n___interval.html">ON_Interval</a>* span_domain <span class="comment">// [OUT] domain of the span containing &quot;t&quot;</span></div><div class="line"><a name="l00267"></a><span class="lineno"> 267</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00268"></a><span class="lineno"> 268</span>&#160;</div><div class="line"><a name="l00269"></a><span class="lineno"> 269</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00270"></a><span class="lineno"> 270</span>&#160; <span class="comment">// Returns maximum algebraic degree of any span</span></div><div class="line"><a name="l00271"></a><span class="lineno"> 271</span>&#160; <span class="comment">// or a good estimate if curve spans are not algebraic.</span></div><div class="line"><a name="l00272"></a><span class="lineno"> 272</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00273"></a><span class="lineno"> 273</span>&#160; <span class="comment">// degree</span></div><div class="line"><a name="l00274"></a><span class="lineno"> 274</span>&#160; <span class="keyword">virtual</span> </div><div class="line"><a name="l00275"></a><span class="lineno"> 275</span>&#160; <span class="keywordtype">int</span> Degree() <span class="keyword">const</span> = 0; </div><div class="line"><a name="l00276"></a><span class="lineno"> 276</span>&#160;</div><div class="line"><a name="l00277"></a><span class="lineno"> 277</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00278"></a><span class="lineno"> 278</span>&#160; <span class="comment">// Returns maximum algebraic degree of any span</span></div><div class="line"><a name="l00279"></a><span class="lineno"> 279</span>&#160; <span class="comment">// or a good estimate if curve spans are not algebraic.</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">// degree</span></div><div class="line"><a name="l00282"></a><span class="lineno"> 282</span>&#160; <span class="keyword">virtual</span> </div><div class="line"><a name="l00283"></a><span class="lineno"> 283</span>&#160; <span class="keywordtype">bool</span> GetParameterTolerance( <span class="comment">// returns tminus &lt; tplus: parameters tminus &lt;= s &lt;= tplus</span></div><div class="line"><a name="l00284"></a><span class="lineno"> 284</span>&#160; <span class="keywordtype">double</span> t, <span class="comment">// [IN] t = parameter in domain</span></div><div class="line"><a name="l00285"></a><span class="lineno"> 285</span>&#160; <span class="keywordtype">double</span>* tminus, <span class="comment">// [OUT] tminus</span></div><div class="line"><a name="l00286"></a><span class="lineno"> 286</span>&#160; <span class="keywordtype">double</span>* tplus <span class="comment">// [OUT] tplus</span></div><div class="line"><a name="l00287"></a><span class="lineno"> 287</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00288"></a><span class="lineno"> 288</span>&#160;</div><div class="line"><a name="l00289"></a><span class="lineno"> 289</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00290"></a><span class="lineno"> 290</span>&#160; <span class="comment">// Test a curve to see if the locus if its points is a line segment.</span></div><div class="line"><a name="l00291"></a><span class="lineno"> 291</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00292"></a><span class="lineno"> 292</span>&#160; <span class="comment">// tolerance - [in] // tolerance to use when checking linearity</span></div><div class="line"><a name="l00293"></a><span class="lineno"> 293</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00294"></a><span class="lineno"> 294</span>&#160; <span class="comment">// true if the ends of the curve are farther than tolerance apart</span></div><div class="line"><a name="l00295"></a><span class="lineno"> 295</span>&#160; <span class="comment">// and the maximum distance from any point on the curve to</span></div><div class="line"><a name="l00296"></a><span class="lineno"> 296</span>&#160; <span class="comment">// the line segment connecting the curve&#39;s ends is &lt;= tolerance.</span></div><div class="line"><a name="l00297"></a><span class="lineno"> 297</span>&#160; <span class="keyword">virtual</span></div><div class="line"><a name="l00298"></a><span class="lineno"> 298</span>&#160; <span class="keywordtype">bool</span> IsLinear(</div><div class="line"><a name="l00299"></a><span class="lineno"> 299</span>&#160; <span class="keywordtype">double</span> tolerance = ON_ZERO_TOLERANCE </div><div class="line"><a name="l00300"></a><span class="lineno"> 300</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00301"></a><span class="lineno"> 301</span>&#160;</div><div class="line"><a name="l00302"></a><span class="lineno"> 302</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00303"></a><span class="lineno"> 303</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00304"></a><span class="lineno"> 304</span>&#160;<span class="comment"> Several types of ON_Curve can have the form of a polyline including</span></div><div class="line"><a name="l00305"></a><span class="lineno"> 305</span>&#160;<span class="comment"> a degree 1 ON_NurbsCurve, an ON_PolylineCurve, and an ON_PolyCurve</span></div><div class="line"><a name="l00306"></a><span class="lineno"> 306</span>&#160;<span class="comment"> all of whose segments are some form of polyline. IsPolyline tests</span></div><div class="line"><a name="l00307"></a><span class="lineno"> 307</span>&#160;<span class="comment"> a curve to see if it can be represented as a polyline.</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"> pline_points - [out] if not nullptr and true is returned, then the</span></div><div class="line"><a name="l00310"></a><span class="lineno"> 310</span>&#160;<span class="comment"> points of the polyline form are returned here.</span></div><div class="line"><a name="l00311"></a><span class="lineno"> 311</span>&#160;<span class="comment"> t - [out] if not nullptr and true is returned, then the parameters of</span></div><div class="line"><a name="l00312"></a><span class="lineno"> 312</span>&#160;<span class="comment"> the polyline points are returned here.</span></div><div class="line"><a name="l00313"></a><span class="lineno"> 313</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00314"></a><span class="lineno"> 314</span>&#160;<span class="comment"> @untitled table</span></div><div class="line"><a name="l00315"></a><span class="lineno"> 315</span>&#160;<span class="comment"> 0 curve is not some form of a polyline</span></div><div class="line"><a name="l00316"></a><span class="lineno"> 316</span>&#160;<span class="comment"> &gt;=2 number of points in polyline form</span></div><div class="line"><a name="l00317"></a><span class="lineno"> 317</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00318"></a><span class="lineno"> 318</span>&#160; <span class="keyword">virtual</span></div><div class="line"><a name="l00319"></a><span class="lineno"> 319</span>&#160; <span class="keywordtype">int</span> IsPolyline(</div><div class="line"><a name="l00320"></a><span class="lineno"> 320</span>&#160; <a class="code" href="../../dc/dfe/class_o_n___simple_array.html">ON_SimpleArray&lt;ON_3dPoint&gt;</a>* pline_points = <span class="keyword">nullptr</span>,</div><div class="line"><a name="l00321"></a><span class="lineno"> 321</span>&#160; <a class="code" href="../../dc/dfe/class_o_n___simple_array.html">ON_SimpleArray&lt;double&gt;</a>* pline_t = <span class="keyword">nullptr</span></div><div class="line"><a name="l00322"></a><span class="lineno"> 322</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00323"></a><span class="lineno"> 323</span>&#160;</div><div class="line"><a name="l00324"></a><span class="lineno"> 324</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00325"></a><span class="lineno"> 325</span>&#160; <span class="comment">// Test a curve to see if the locus if its points is an arc or circle.</span></div><div class="line"><a name="l00326"></a><span class="lineno"> 326</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00327"></a><span class="lineno"> 327</span>&#160; <span class="comment">// plane - [in] if not nullptr, test is performed in this plane</span></div><div class="line"><a name="l00328"></a><span class="lineno"> 328</span>&#160; <span class="comment">// arc - [out] if not nullptr and true is returned, then arc parameters</span></div><div class="line"><a name="l00329"></a><span class="lineno"> 329</span>&#160; <span class="comment">// are filled in</span></div><div class="line"><a name="l00330"></a><span class="lineno"> 330</span>&#160; <span class="comment">// tolerance - [in] tolerance to use when checking</span></div><div class="line"><a name="l00331"></a><span class="lineno"> 331</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00332"></a><span class="lineno"> 332</span>&#160; <span class="comment">// ON_Arc.m_angle &gt; 0 if curve locus is an arc between</span></div><div class="line"><a name="l00333"></a><span class="lineno"> 333</span>&#160; <span class="comment">// specified points. If ON_Arc.m_angle is 2.0*ON_PI, then the curve</span></div><div class="line"><a name="l00334"></a><span class="lineno"> 334</span>&#160; <span class="comment">// is a circle.</span></div><div class="line"><a name="l00335"></a><span class="lineno"> 335</span>&#160; <span class="keyword">virtual</span></div><div class="line"><a name="l00336"></a><span class="lineno"> 336</span>&#160; <span class="keywordtype">bool</span> IsArc(</div><div class="line"><a name="l00337"></a><span class="lineno"> 337</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d4/d48/class_o_n___plane.html">ON_Plane</a>* plane = <span class="keyword">nullptr</span>,</div><div class="line"><a name="l00338"></a><span class="lineno"> 338</span>&#160; <a class="code" href="../../d3/ddf/class_o_n___arc.html">ON_Arc</a>* arc = <span class="keyword">nullptr</span>,</div><div class="line"><a name="l00339"></a><span class="lineno"> 339</span>&#160; <span class="keywordtype">double</span> tolerance = ON_ZERO_TOLERANCE</div><div class="line"><a name="l00340"></a><span class="lineno"> 340</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00341"></a><span class="lineno"> 341</span>&#160;</div><div class="line"><a name="l00342"></a><span class="lineno"> 342</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00343"></a><span class="lineno"> 343</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00344"></a><span class="lineno"> 344</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l00345"></a><span class="lineno"> 345</span>&#160;<span class="comment"> t - [in] curve parameter</span></div><div class="line"><a name="l00346"></a><span class="lineno"> 346</span>&#160;<span class="comment"> plane - [in]</span></div><div class="line"><a name="l00347"></a><span class="lineno"> 347</span>&#160;<span class="comment"> if not nullptr, test is performed in this plane</span></div><div class="line"><a name="l00348"></a><span class="lineno"> 348</span>&#160;<span class="comment"> arc - [out]</span></div><div class="line"><a name="l00349"></a><span class="lineno"> 349</span>&#160;<span class="comment"> if not nullptr and true is returned, then arc parameters</span></div><div class="line"><a name="l00350"></a><span class="lineno"> 350</span>&#160;<span class="comment"> are filled in</span></div><div class="line"><a name="l00351"></a><span class="lineno"> 351</span>&#160;<span class="comment"> tolerance - [in]</span></div><div class="line"><a name="l00352"></a><span class="lineno"> 352</span>&#160;<span class="comment"> tolerance to use when checking</span></div><div class="line"><a name="l00353"></a><span class="lineno"> 353</span>&#160;<span class="comment"> t0 - [out]</span></div><div class="line"><a name="l00354"></a><span class="lineno"> 354</span>&#160;<span class="comment"> if not nullptr, and then *t0 is set to the parameter</span></div><div class="line"><a name="l00355"></a><span class="lineno"> 355</span>&#160;<span class="comment"> at the start of the G2 curve segment that was</span></div><div class="line"><a name="l00356"></a><span class="lineno"> 356</span>&#160;<span class="comment"> tested.</span></div><div class="line"><a name="l00357"></a><span class="lineno"> 357</span>&#160;<span class="comment"> t1 - [out]</span></div><div class="line"><a name="l00358"></a><span class="lineno"> 358</span>&#160;<span class="comment"> if not nullptr, and then *t0 is set to the parameter</span></div><div class="line"><a name="l00359"></a><span class="lineno"> 359</span>&#160;<span class="comment"> at the start of the G2 curve segment that was</span></div><div class="line"><a name="l00360"></a><span class="lineno"> 360</span>&#160;<span class="comment"> tested.</span></div><div class="line"><a name="l00361"></a><span class="lineno"> 361</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00362"></a><span class="lineno"> 362</span>&#160;<span class="comment"> True if the paramter t is on a arc segment of the curve.</span></div><div class="line"><a name="l00363"></a><span class="lineno"> 363</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00364"></a><span class="lineno"> 364</span>&#160; <span class="keywordtype">bool</span> IsArcAt( </div><div class="line"><a name="l00365"></a><span class="lineno"> 365</span>&#160; <span class="keywordtype">double</span> t, </div><div class="line"><a name="l00366"></a><span class="lineno"> 366</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d4/d48/class_o_n___plane.html">ON_Plane</a>* plane = 0,</div><div class="line"><a name="l00367"></a><span class="lineno"> 367</span>&#160; <a class="code" href="../../d3/ddf/class_o_n___arc.html">ON_Arc</a>* arc = 0,</div><div class="line"><a name="l00368"></a><span class="lineno"> 368</span>&#160; <span class="keywordtype">double</span> tolerance = ON_ZERO_TOLERANCE,</div><div class="line"><a name="l00369"></a><span class="lineno"> 369</span>&#160; <span class="keywordtype">double</span>* t0 = 0, </div><div class="line"><a name="l00370"></a><span class="lineno"> 370</span>&#160; <span class="keywordtype">double</span>* t1 = 0</div><div class="line"><a name="l00371"></a><span class="lineno"> 371</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00372"></a><span class="lineno"> 372</span>&#160;</div><div class="line"><a name="l00373"></a><span class="lineno"> 373</span>&#160; <span class="keyword">virtual</span></div><div class="line"><a name="l00374"></a><span class="lineno"> 374</span>&#160; <span class="keywordtype">bool</span> IsEllipse(</div><div class="line"><a name="l00375"></a><span class="lineno"> 375</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d4/d48/class_o_n___plane.html">ON_Plane</a>* plane = <span class="keyword">nullptr</span>,</div><div class="line"><a name="l00376"></a><span class="lineno"> 376</span>&#160; <a class="code" href="../../d6/dd8/class_o_n___ellipse.html">ON_Ellipse</a>* ellipse = <span class="keyword">nullptr</span>,</div><div class="line"><a name="l00377"></a><span class="lineno"> 377</span>&#160; <span class="keywordtype">double</span> tolerance = ON_ZERO_TOLERANCE</div><div class="line"><a name="l00378"></a><span class="lineno"> 378</span>&#160; ) <span class="keyword">const</span>;</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; <span class="comment">// Description:</span></div><div class="line"><a name="l00381"></a><span class="lineno"> 381</span>&#160; <span class="comment">// Test a curve to see if it is planar.</span></div><div class="line"><a name="l00382"></a><span class="lineno"> 382</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00383"></a><span class="lineno"> 383</span>&#160; <span class="comment">// plane - [out] if not nullptr and true is returned,</span></div><div class="line"><a name="l00384"></a><span class="lineno"> 384</span>&#160; <span class="comment">// the plane parameters are filled in.</span></div><div class="line"><a name="l00385"></a><span class="lineno"> 385</span>&#160; <span class="comment">// tolerance - [in] tolerance to use when checking</span></div><div class="line"><a name="l00386"></a><span class="lineno"> 386</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00387"></a><span class="lineno"> 387</span>&#160; <span class="comment">// true if there is a plane such that the maximum distance from</span></div><div class="line"><a name="l00388"></a><span class="lineno"> 388</span>&#160; <span class="comment">// the curve to the plane is &lt;= tolerance.</span></div><div class="line"><a name="l00389"></a><span class="lineno"> 389</span>&#160; <span class="keyword">virtual</span></div><div class="line"><a name="l00390"></a><span class="lineno"> 390</span>&#160; <span class="keywordtype">bool</span> IsPlanar(</div><div class="line"><a name="l00391"></a><span class="lineno"> 391</span>&#160; <a class="code" href="../../d4/d48/class_o_n___plane.html">ON_Plane</a>* plane = <span class="keyword">nullptr</span>,</div><div class="line"><a name="l00392"></a><span class="lineno"> 392</span>&#160; <span class="keywordtype">double</span> tolerance = ON_ZERO_TOLERANCE</div><div class="line"><a name="l00393"></a><span class="lineno"> 393</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00394"></a><span class="lineno"> 394</span>&#160;</div><div class="line"><a name="l00395"></a><span class="lineno"> 395</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00396"></a><span class="lineno"> 396</span>&#160; <span class="comment">// Test a curve to see if it lies in a specific plane.</span></div><div class="line"><a name="l00397"></a><span class="lineno"> 397</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00398"></a><span class="lineno"> 398</span>&#160; <span class="comment">// test_plane - [in]</span></div><div class="line"><a name="l00399"></a><span class="lineno"> 399</span>&#160; <span class="comment">// tolerance - [in] tolerance to use when checking</span></div><div class="line"><a name="l00400"></a><span class="lineno"> 400</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00401"></a><span class="lineno"> 401</span>&#160; <span class="comment">// true if the maximum distance from the curve to the</span></div><div class="line"><a name="l00402"></a><span class="lineno"> 402</span>&#160; <span class="comment">// test_plane is &lt;= tolerance.</span></div><div class="line"><a name="l00403"></a><span class="lineno"> 403</span>&#160; <span class="keyword">virtual</span></div><div class="line"><a name="l00404"></a><span class="lineno"> 404</span>&#160; <span class="keywordtype">bool</span> IsInPlane(</div><div class="line"><a name="l00405"></a><span class="lineno"> 405</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d4/d48/class_o_n___plane.html">ON_Plane</a>&amp; test_plane,</div><div class="line"><a name="l00406"></a><span class="lineno"> 406</span>&#160; <span class="keywordtype">double</span> tolerance = ON_ZERO_TOLERANCE</div><div class="line"><a name="l00407"></a><span class="lineno"> 407</span>&#160; ) <span class="keyword">const</span> = 0;</div><div class="line"><a name="l00408"></a><span class="lineno"> 408</span>&#160;</div><div class="line"><a name="l00409"></a><span class="lineno"> 409</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00410"></a><span class="lineno"> 410</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00411"></a><span class="lineno"> 411</span>&#160;<span class="comment"> Decide if it makes sense to close off this curve by moving </span></div><div class="line"><a name="l00412"></a><span class="lineno"> 412</span>&#160;<span class="comment"> the endpoint to the start based on start-end gap size and length</span></div><div class="line"><a name="l00413"></a><span class="lineno"> 413</span>&#160;<span class="comment"> of curve as approximated by chord defined by 6 points.</span></div><div class="line"><a name="l00414"></a><span class="lineno"> 414</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l00415"></a><span class="lineno"> 415</span>&#160;<span class="comment"> tolerance - [in] maximum allowable distance between start and end.</span></div><div class="line"><a name="l00416"></a><span class="lineno"> 416</span>&#160;<span class="comment"> if start - end gap is greater than tolerance, returns false</span></div><div class="line"><a name="l00417"></a><span class="lineno"> 417</span>&#160;<span class="comment"> min_abs_size - [in] if greater than 0.0 and none of the interior sampled</span></div><div class="line"><a name="l00418"></a><span class="lineno"> 418</span>&#160;<span class="comment"> points are at least min_abs_size from start, returns false.</span></div><div class="line"><a name="l00419"></a><span class="lineno"> 419</span>&#160;<span class="comment"> min_rel_size - [in] if greater than 1.0 and chord length is less than </span></div><div class="line"><a name="l00420"></a><span class="lineno"> 420</span>&#160;<span class="comment"> min_rel_size*gap, returns false.</span></div><div class="line"><a name="l00421"></a><span class="lineno"> 421</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00422"></a><span class="lineno"> 422</span>&#160;<span class="comment"> true if start and end points are close enough based on above conditions.</span></div><div class="line"><a name="l00423"></a><span class="lineno"> 423</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00424"></a><span class="lineno"> 424</span>&#160;</div><div class="line"><a name="l00425"></a><span class="lineno"> 425</span>&#160; <span class="keywordtype">bool</span> IsClosable(</div><div class="line"><a name="l00426"></a><span class="lineno"> 426</span>&#160; <span class="keywordtype">double</span> tolerance,</div><div class="line"><a name="l00427"></a><span class="lineno"> 427</span>&#160; <span class="keywordtype">double</span> min_abs_size = 0.0,</div><div class="line"><a name="l00428"></a><span class="lineno"> 428</span>&#160; <span class="keywordtype">double</span> min_rel_size = 10.0</div><div class="line"><a name="l00429"></a><span class="lineno"> 429</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00430"></a><span class="lineno"> 430</span>&#160;</div><div class="line"><a name="l00431"></a><span class="lineno"> 431</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00432"></a><span class="lineno"> 432</span>&#160; <span class="comment">// Test a curve to see if it is closed.</span></div><div class="line"><a name="l00433"></a><span class="lineno"> 433</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00434"></a><span class="lineno"> 434</span>&#160; <span class="comment">// true if the curve is closed.</span></div><div class="line"><a name="l00435"></a><span class="lineno"> 435</span>&#160; <span class="keyword">virtual</span> </div><div class="line"><a name="l00436"></a><span class="lineno"> 436</span>&#160; <span class="keywordtype">bool</span> IsClosed() <span class="keyword">const</span>;</div><div class="line"><a name="l00437"></a><span class="lineno"> 437</span>&#160;</div><div class="line"><a name="l00438"></a><span class="lineno"> 438</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00439"></a><span class="lineno"> 439</span>&#160; <span class="comment">// Test a curve to see if it is periodic.</span></div><div class="line"><a name="l00440"></a><span class="lineno"> 440</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00441"></a><span class="lineno"> 441</span>&#160; <span class="comment">// true if the curve is closed and at least C2 at the start/end.</span></div><div class="line"><a name="l00442"></a><span class="lineno"> 442</span>&#160; <span class="keyword">virtual</span> </div><div class="line"><a name="l00443"></a><span class="lineno"> 443</span>&#160; <span class="keywordtype">bool</span> IsPeriodic() <span class="keyword">const</span>;</div><div class="line"><a name="l00444"></a><span class="lineno"> 444</span>&#160;</div><div class="line"><a name="l00445"></a><span class="lineno"> 445</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00446"></a><span class="lineno"> 446</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00447"></a><span class="lineno"> 447</span>&#160;<span class="comment"> Search for a derivatitive, tangent, or curvature </span></div><div class="line"><a name="l00448"></a><span class="lineno"> 448</span>&#160;<span class="comment"> discontinuity.</span></div><div class="line"><a name="l00449"></a><span class="lineno"> 449</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l00450"></a><span class="lineno"> 450</span>&#160;<span class="comment"> c - [in] type of continity to test for.</span></div><div class="line"><a name="l00451"></a><span class="lineno"> 451</span>&#160;<span class="comment"> t0 - [in] Search begins at t0. If there is a discontinuity</span></div><div class="line"><a name="l00452"></a><span class="lineno"> 452</span>&#160;<span class="comment"> at t0, it will be ignored. This makes it </span></div><div class="line"><a name="l00453"></a><span class="lineno"> 453</span>&#160;<span class="comment"> possible to repeatedly call GetNextDiscontinuity</span></div><div class="line"><a name="l00454"></a><span class="lineno"> 454</span>&#160;<span class="comment"> and step through the discontinuities.</span></div><div class="line"><a name="l00455"></a><span class="lineno"> 455</span>&#160;<span class="comment"> t1 - [in] (t0 != t1) If there is a discontinuity at t1 is </span></div><div class="line"><a name="l00456"></a><span class="lineno"> 456</span>&#160;<span class="comment"> will be ingored unless c is a locus discontinuity</span></div><div class="line"><a name="l00457"></a><span class="lineno"> 457</span>&#160;<span class="comment"> type and t1 is at the start or end of the curve.</span></div><div class="line"><a name="l00458"></a><span class="lineno"> 458</span>&#160;<span class="comment"> t - [out] if a discontinuity is found, then *t reports the</span></div><div class="line"><a name="l00459"></a><span class="lineno"> 459</span>&#160;<span class="comment"> parameter at the discontinuity.</span></div><div class="line"><a name="l00460"></a><span class="lineno"> 460</span>&#160;<span class="comment"> hint - [in/out] if GetNextDiscontinuity will be called </span></div><div class="line"><a name="l00461"></a><span class="lineno"> 461</span>&#160;<span class="comment"> repeatedly, passing a &quot;hint&quot; with initial value *hint=0</span></div><div class="line"><a name="l00462"></a><span class="lineno"> 462</span>&#160;<span class="comment"> will increase the speed of the search. </span></div><div class="line"><a name="l00463"></a><span class="lineno"> 463</span>&#160;<span class="comment"> dtype - [out] if not nullptr, *dtype reports the kind of </span></div><div class="line"><a name="l00464"></a><span class="lineno"> 464</span>&#160;<span class="comment"> discontinuity found at *t. A value of 1 means the first </span></div><div class="line"><a name="l00465"></a><span class="lineno"> 465</span>&#160;<span class="comment"> derivative or unit tangent was discontinuous. A value </span></div><div class="line"><a name="l00466"></a><span class="lineno"> 466</span>&#160;<span class="comment"> of 2 means the second derivative or curvature was </span></div><div class="line"><a name="l00467"></a><span class="lineno"> 467</span>&#160;<span class="comment"> discontinuous. A value of 0 means teh curve is not</span></div><div class="line"><a name="l00468"></a><span class="lineno"> 468</span>&#160;<span class="comment"> closed, a locus discontinuity test was applied, and</span></div><div class="line"><a name="l00469"></a><span class="lineno"> 469</span>&#160;<span class="comment"> t1 is at the start of end of the curve.</span></div><div class="line"><a name="l00470"></a><span class="lineno"> 470</span>&#160;<span class="comment"> If &#39;c&#39;, the type of continuity to test for </span></div><div class="line"><a name="l00471"></a><span class="lineno"> 471</span>&#160;<span class="comment"> is ON::continuity::Gsmooth_continuous and the curvature changes </span></div><div class="line"><a name="l00472"></a><span class="lineno"> 472</span>&#160;<span class="comment"> from curved to 0 or 0 to curved and there is no </span></div><div class="line"><a name="l00473"></a><span class="lineno"> 473</span>&#160;<span class="comment"> tangency kink dtype is returns 3</span></div><div class="line"><a name="l00474"></a><span class="lineno"> 474</span>&#160;<span class="comment"> cos_angle_tolerance - [in] default = cos(1 degree) Used only</span></div><div class="line"><a name="l00475"></a><span class="lineno"> 475</span>&#160;<span class="comment"> when c is ON::continuity::G1_continuous or ON::continuity::G2_continuous. If the</span></div><div class="line"><a name="l00476"></a><span class="lineno"> 476</span>&#160;<span class="comment"> cosine of the angle between two tangent vectors is </span></div><div class="line"><a name="l00477"></a><span class="lineno"> 477</span>&#160;<span class="comment"> &lt;= cos_angle_tolerance, then a G1 discontinuity is reported.</span></div><div class="line"><a name="l00478"></a><span class="lineno"> 478</span>&#160;<span class="comment"> curvature_tolerance - [in] (default = ON_SQRT_EPSILON) Used </span></div><div class="line"><a name="l00479"></a><span class="lineno"> 479</span>&#160;<span class="comment"> only when c is ON::continuity::G2_continuous. If K0 and K1 are </span></div><div class="line"><a name="l00480"></a><span class="lineno"> 480</span>&#160;<span class="comment"> curvatures evaluated from above and below and </span></div><div class="line"><a name="l00481"></a><span class="lineno"> 481</span>&#160;<span class="comment"> |K0 - K1| &gt; curvature_tolerance, then a curvature </span></div><div class="line"><a name="l00482"></a><span class="lineno"> 482</span>&#160;<span class="comment"> discontinuity is reported.</span></div><div class="line"><a name="l00483"></a><span class="lineno"> 483</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00484"></a><span class="lineno"> 484</span>&#160;<span class="comment"> Parametric continuity tests c = (C0_continuous, ..., G2_continuous):</span></div><div class="line"><a name="l00485"></a><span class="lineno"> 485</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00486"></a><span class="lineno"> 486</span>&#160;<span class="comment"> true if a parametric discontinuity was found strictly </span></div><div class="line"><a name="l00487"></a><span class="lineno"> 487</span>&#160;<span class="comment"> between t0 and t1. Note well that all curves are </span></div><div class="line"><a name="l00488"></a><span class="lineno"> 488</span>&#160;<span class="comment"> parametrically continuous at the ends of their domains.</span></div><div class="line"><a name="l00489"></a><span class="lineno"> 489</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00490"></a><span class="lineno"> 490</span>&#160;<span class="comment"> Locus continuity tests c = (C0_locus_continuous, ...,G2_locus_continuous):</span></div><div class="line"><a name="l00491"></a><span class="lineno"> 491</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00492"></a><span class="lineno"> 492</span>&#160;<span class="comment"> true if a locus discontinuity was found strictly between</span></div><div class="line"><a name="l00493"></a><span class="lineno"> 493</span>&#160;<span class="comment"> t0 and t1 or at t1 is the at the end of a curve.</span></div><div class="line"><a name="l00494"></a><span class="lineno"> 494</span>&#160;<span class="comment"> Note well that all open curves (IsClosed()=false) are locus</span></div><div class="line"><a name="l00495"></a><span class="lineno"> 495</span>&#160;<span class="comment"> discontinuous at the ends of their domains. All closed </span></div><div class="line"><a name="l00496"></a><span class="lineno"> 496</span>&#160;<span class="comment"> curves (IsClosed()=true) are at least C0_locus_continuous at </span></div><div class="line"><a name="l00497"></a><span class="lineno"> 497</span>&#160;<span class="comment"> the ends of their domains.</span></div><div class="line"><a name="l00498"></a><span class="lineno"> 498</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00499"></a><span class="lineno"> 499</span>&#160; <span class="keyword">virtual</span></div><div class="line"><a name="l00500"></a><span class="lineno"> 500</span>&#160; <span class="keywordtype">bool</span> GetNextDiscontinuity( </div><div class="line"><a name="l00501"></a><span class="lineno"> 501</span>&#160; ON::continuity c,</div><div class="line"><a name="l00502"></a><span class="lineno"> 502</span>&#160; <span class="keywordtype">double</span> t0,</div><div class="line"><a name="l00503"></a><span class="lineno"> 503</span>&#160; <span class="keywordtype">double</span> t1,</div><div class="line"><a name="l00504"></a><span class="lineno"> 504</span>&#160; <span class="keywordtype">double</span>* t,</div><div class="line"><a name="l00505"></a><span class="lineno"> 505</span>&#160; <span class="keywordtype">int</span>* hint=<span class="keyword">nullptr</span>,</div><div class="line"><a name="l00506"></a><span class="lineno"> 506</span>&#160; <span class="keywordtype">int</span>* dtype=<span class="keyword">nullptr</span>,</div><div class="line"><a name="l00507"></a><span class="lineno"> 507</span>&#160; <span class="keywordtype">double</span> cos_angle_tolerance=ON_DEFAULT_ANGLE_TOLERANCE_COSINE,</div><div class="line"><a name="l00508"></a><span class="lineno"> 508</span>&#160; <span class="keywordtype">double</span> curvature_tolerance=ON_SQRT_EPSILON</div><div class="line"><a name="l00509"></a><span class="lineno"> 509</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00510"></a><span class="lineno"> 510</span>&#160;</div><div class="line"><a name="l00511"></a><span class="lineno"> 511</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00512"></a><span class="lineno"> 512</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00513"></a><span class="lineno"> 513</span>&#160;<span class="comment"> Test continuity at a curve parameter value.</span></div><div class="line"><a name="l00514"></a><span class="lineno"> 514</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l00515"></a><span class="lineno"> 515</span>&#160;<span class="comment"> c - [in] type of continuity to test for. Read ON::continuity</span></div><div class="line"><a name="l00516"></a><span class="lineno"> 516</span>&#160;<span class="comment"> comments for details.</span></div><div class="line"><a name="l00517"></a><span class="lineno"> 517</span>&#160;<span class="comment"> t - [in] parameter to test</span></div><div class="line"><a name="l00518"></a><span class="lineno"> 518</span>&#160;<span class="comment"> hint - [in] evaluation hint</span></div><div class="line"><a name="l00519"></a><span class="lineno"> 519</span>&#160;<span class="comment"> point_tolerance - [in] if the distance between two points is</span></div><div class="line"><a name="l00520"></a><span class="lineno"> 520</span>&#160;<span class="comment"> greater than point_tolerance, then the curve is not C0.</span></div><div class="line"><a name="l00521"></a><span class="lineno"> 521</span>&#160;<span class="comment"> d1_tolerance - [in] if the difference between two first derivatives is</span></div><div class="line"><a name="l00522"></a><span class="lineno"> 522</span>&#160;<span class="comment"> greater than d1_tolerance, then the curve is not C1.</span></div><div class="line"><a name="l00523"></a><span class="lineno"> 523</span>&#160;<span class="comment"> d2_tolerance - [in] if the difference between two second derivatives is</span></div><div class="line"><a name="l00524"></a><span class="lineno"> 524</span>&#160;<span class="comment"> greater than d2_tolerance, then the curve is not C2.</span></div><div class="line"><a name="l00525"></a><span class="lineno"> 525</span>&#160;<span class="comment"> cos_angle_tolerance - [in] default = cos(1 degree) Used only when</span></div><div class="line"><a name="l00526"></a><span class="lineno"> 526</span>&#160;<span class="comment"> c is ON::continuity::G1_continuous or ON::continuity::G2_continuous. If the cosine</span></div><div class="line"><a name="l00527"></a><span class="lineno"> 527</span>&#160;<span class="comment"> of the angle between two tangent vectors </span></div><div class="line"><a name="l00528"></a><span class="lineno"> 528</span>&#160;<span class="comment"> is &lt;= cos_angle_tolerance, then a G1 discontinuity is reported.</span></div><div class="line"><a name="l00529"></a><span class="lineno"> 529</span>&#160;<span class="comment"> curvature_tolerance - [in] (default = ON_SQRT_EPSILON) Used only when</span></div><div class="line"><a name="l00530"></a><span class="lineno"> 530</span>&#160;<span class="comment"> c is ON::continuity::G2_continuous or ON::continuity::Gsmooth_continuous. </span></div><div class="line"><a name="l00531"></a><span class="lineno"> 531</span>&#160;<span class="comment"> ON::continuity::G2_continuous:</span></div><div class="line"><a name="l00532"></a><span class="lineno"> 532</span>&#160;<span class="comment"> If K0 and K1 are curvatures evaluated</span></div><div class="line"><a name="l00533"></a><span class="lineno"> 533</span>&#160;<span class="comment"> from above and below and |K0 - K1| &gt; curvature_tolerance,</span></div><div class="line"><a name="l00534"></a><span class="lineno"> 534</span>&#160;<span class="comment"> then a curvature discontinuity is reported.</span></div><div class="line"><a name="l00535"></a><span class="lineno"> 535</span>&#160;<span class="comment"> ON::continuity::Gsmooth_continuous:</span></div><div class="line"><a name="l00536"></a><span class="lineno"> 536</span>&#160;<span class="comment"> If K0 and K1 are curvatures evaluated from above and below</span></div><div class="line"><a name="l00537"></a><span class="lineno"> 537</span>&#160;<span class="comment"> and the angle between K0 and K1 is at least twice angle tolerance</span></div><div class="line"><a name="l00538"></a><span class="lineno"> 538</span>&#160;<span class="comment"> or ||K0| - |K1|| &gt; (max(|K0|,|K1|) &gt; curvature_tolerance,</span></div><div class="line"><a name="l00539"></a><span class="lineno"> 539</span>&#160;<span class="comment"> then a curvature discontinuity is reported.</span></div><div class="line"><a name="l00540"></a><span class="lineno"> 540</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00541"></a><span class="lineno"> 541</span>&#160;<span class="comment"> true if the curve has at least the c type continuity at </span></div><div class="line"><a name="l00542"></a><span class="lineno"> 542</span>&#160;<span class="comment"> the parameter t.</span></div><div class="line"><a name="l00543"></a><span class="lineno"> 543</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00544"></a><span class="lineno"> 544</span>&#160; <span class="keyword">virtual</span></div><div class="line"><a name="l00545"></a><span class="lineno"> 545</span>&#160; <span class="keywordtype">bool</span> IsContinuous(</div><div class="line"><a name="l00546"></a><span class="lineno"> 546</span>&#160; ON::continuity c,</div><div class="line"><a name="l00547"></a><span class="lineno"> 547</span>&#160; <span class="keywordtype">double</span> t, </div><div class="line"><a name="l00548"></a><span class="lineno"> 548</span>&#160; <span class="keywordtype">int</span>* hint = <span class="keyword">nullptr</span>,</div><div class="line"><a name="l00549"></a><span class="lineno"> 549</span>&#160; <span class="keywordtype">double</span> point_tolerance=ON_ZERO_TOLERANCE,</div><div class="line"><a name="l00550"></a><span class="lineno"> 550</span>&#160; <span class="keywordtype">double</span> d1_tolerance=ON_ZERO_TOLERANCE,</div><div class="line"><a name="l00551"></a><span class="lineno"> 551</span>&#160; <span class="keywordtype">double</span> d2_tolerance=ON_ZERO_TOLERANCE,</div><div class="line"><a name="l00552"></a><span class="lineno"> 552</span>&#160; <span class="keywordtype">double</span> cos_angle_tolerance=ON_DEFAULT_ANGLE_TOLERANCE_COSINE,</div><div class="line"><a name="l00553"></a><span class="lineno"> 553</span>&#160; <span class="keywordtype">double</span> curvature_tolerance=ON_SQRT_EPSILON</div><div class="line"><a name="l00554"></a><span class="lineno"> 554</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00555"></a><span class="lineno"> 555</span>&#160;</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">// Description:</span></div><div class="line"><a name="l00558"></a><span class="lineno"> 558</span>&#160; <span class="comment">// Reverse the direction of the curve.</span></div><div class="line"><a name="l00559"></a><span class="lineno"> 559</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00560"></a><span class="lineno"> 560</span>&#160; <span class="comment">// true if curve was reversed.</span></div><div class="line"><a name="l00561"></a><span class="lineno"> 561</span>&#160; <span class="comment">// Remarks:</span></div><div class="line"><a name="l00562"></a><span class="lineno"> 562</span>&#160; <span class="comment">// If reveresed, the domain changes from [a,b] to [-b,-a]</span></div><div class="line"><a name="l00563"></a><span class="lineno"> 563</span>&#160; <span class="keyword">virtual</span> </div><div class="line"><a name="l00564"></a><span class="lineno"> 564</span>&#160; <span class="keywordtype">bool</span> Reverse()=0;</div><div class="line"><a name="l00565"></a><span class="lineno"> 565</span>&#160;</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">/*</span></div><div class="line"><a name="l00568"></a><span class="lineno"> 568</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00569"></a><span class="lineno"> 569</span>&#160;<span class="comment"> Force the curve to start at a specified point.</span></div><div class="line"><a name="l00570"></a><span class="lineno"> 570</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l00571"></a><span class="lineno"> 571</span>&#160;<span class="comment"> start_point - [in]</span></div><div class="line"><a name="l00572"></a><span class="lineno"> 572</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00573"></a><span class="lineno"> 573</span>&#160;<span class="comment"> true if successful.</span></div><div class="line"><a name="l00574"></a><span class="lineno"> 574</span>&#160;<span class="comment"> Remarks:</span></div><div class="line"><a name="l00575"></a><span class="lineno"> 575</span>&#160;<span class="comment"> Some end points cannot be moved. Be sure to check return</span></div><div class="line"><a name="l00576"></a><span class="lineno"> 576</span>&#160;<span class="comment"> code. </span></div><div class="line"><a name="l00577"></a><span class="lineno"> 577</span>&#160;<span class="comment"> ON_Curve::SetStartPoint() returns true if start_point is the same as the start of the curve,</span></div><div class="line"><a name="l00578"></a><span class="lineno"> 578</span>&#160;<span class="comment"> false otherwise. </span></div><div class="line"><a name="l00579"></a><span class="lineno"> 579</span>&#160;<span class="comment"> See Also:</span></div><div class="line"><a name="l00580"></a><span class="lineno"> 580</span>&#160;<span class="comment"> ON_Curve::SetEndPoint</span></div><div class="line"><a name="l00581"></a><span class="lineno"> 581</span>&#160;<span class="comment"> ON_Curve::PointAtStart</span></div><div class="line"><a name="l00582"></a><span class="lineno"> 582</span>&#160;<span class="comment"> ON_Curve::PointAtEnd</span></div><div class="line"><a name="l00583"></a><span class="lineno"> 583</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00584"></a><span class="lineno"> 584</span>&#160; <span class="keyword">virtual</span></div><div class="line"><a name="l00585"></a><span class="lineno"> 585</span>&#160; <span class="keywordtype">bool</span> SetStartPoint(</div><div class="line"><a name="l00586"></a><span class="lineno"> 586</span>&#160; <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> start_point</div><div class="line"><a name="l00587"></a><span class="lineno"> 587</span>&#160; );</div><div class="line"><a name="l00588"></a><span class="lineno"> 588</span>&#160;</div><div class="line"><a name="l00589"></a><span class="lineno"> 589</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00590"></a><span class="lineno"> 590</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00591"></a><span class="lineno"> 591</span>&#160;<span class="comment"> Force the curve to end at a specified point.</span></div><div class="line"><a name="l00592"></a><span class="lineno"> 592</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l00593"></a><span class="lineno"> 593</span>&#160;<span class="comment"> end_point - [in]</span></div><div class="line"><a name="l00594"></a><span class="lineno"> 594</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00595"></a><span class="lineno"> 595</span>&#160;<span class="comment"> true if successful.</span></div><div class="line"><a name="l00596"></a><span class="lineno"> 596</span>&#160;<span class="comment"> Remarks:</span></div><div class="line"><a name="l00597"></a><span class="lineno"> 597</span>&#160;<span class="comment"> Some end points cannot be moved. Be sure to check return</span></div><div class="line"><a name="l00598"></a><span class="lineno"> 598</span>&#160;<span class="comment"> code.</span></div><div class="line"><a name="l00599"></a><span class="lineno"> 599</span>&#160;<span class="comment"> ON_Curve::SetEndPoint() returns true if end_point is the same as the end of the curve,</span></div><div class="line"><a name="l00600"></a><span class="lineno"> 600</span>&#160;<span class="comment"> false otherwise. </span></div><div class="line"><a name="l00601"></a><span class="lineno"> 601</span>&#160;<span class="comment"> See Also:</span></div><div class="line"><a name="l00602"></a><span class="lineno"> 602</span>&#160;<span class="comment"> ON_Curve::SetStartPoint</span></div><div class="line"><a name="l00603"></a><span class="lineno"> 603</span>&#160;<span class="comment"> ON_Curve::PointAtStart</span></div><div class="line"><a name="l00604"></a><span class="lineno"> 604</span>&#160;<span class="comment"> ON_Curve::PointAtEnd</span></div><div class="line"><a name="l00605"></a><span class="lineno"> 605</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00606"></a><span class="lineno"> 606</span>&#160; <span class="keyword">virtual</span></div><div class="line"><a name="l00607"></a><span class="lineno"> 607</span>&#160; <span class="keywordtype">bool</span> SetEndPoint(</div><div class="line"><a name="l00608"></a><span class="lineno"> 608</span>&#160; <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> end_point</div><div class="line"><a name="l00609"></a><span class="lineno"> 609</span>&#160; );</div><div class="line"><a name="l00610"></a><span class="lineno"> 610</span>&#160; </div><div class="line"><a name="l00611"></a><span class="lineno"> 611</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00612"></a><span class="lineno"> 612</span>&#160; <span class="comment">// Evaluate point at a parameter.</span></div><div class="line"><a name="l00613"></a><span class="lineno"> 613</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00614"></a><span class="lineno"> 614</span>&#160; <span class="comment">// t - [in] evaluation parameter</span></div><div class="line"><a name="l00615"></a><span class="lineno"> 615</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00616"></a><span class="lineno"> 616</span>&#160; <span class="comment">// Point (location of curve at the parameter t).</span></div><div class="line"><a name="l00617"></a><span class="lineno"> 617</span>&#160; <span class="comment">// Remarks:</span></div><div class="line"><a name="l00618"></a><span class="lineno"> 618</span>&#160; <span class="comment">// No error handling.</span></div><div class="line"><a name="l00619"></a><span class="lineno"> 619</span>&#160; <span class="comment">// See Also:</span></div><div class="line"><a name="l00620"></a><span class="lineno"> 620</span>&#160; <span class="comment">// ON_Curve::EvPoint</span></div><div class="line"><a name="l00621"></a><span class="lineno"> 621</span>&#160; <span class="comment">// ON_Curve::PointAtStart</span></div><div class="line"><a name="l00622"></a><span class="lineno"> 622</span>&#160; <span class="comment">// ON_Curve::PointAtEnd</span></div><div class="line"><a name="l00623"></a><span class="lineno"> 623</span>&#160; <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> PointAt( </div><div class="line"><a name="l00624"></a><span class="lineno"> 624</span>&#160; <span class="keywordtype">double</span> t </div><div class="line"><a name="l00625"></a><span class="lineno"> 625</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00626"></a><span class="lineno"> 626</span>&#160;</div><div class="line"><a name="l00627"></a><span class="lineno"> 627</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00628"></a><span class="lineno"> 628</span>&#160; <span class="comment">// Evaluate point at the start of the curve.</span></div><div class="line"><a name="l00629"></a><span class="lineno"> 629</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00630"></a><span class="lineno"> 630</span>&#160; <span class="comment">// t - [in] evaluation parameter</span></div><div class="line"><a name="l00631"></a><span class="lineno"> 631</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00632"></a><span class="lineno"> 632</span>&#160; <span class="comment">// Point (location of the start of the curve.)</span></div><div class="line"><a name="l00633"></a><span class="lineno"> 633</span>&#160; <span class="comment">// Remarks:</span></div><div class="line"><a name="l00634"></a><span class="lineno"> 634</span>&#160; <span class="comment">// No error handling.</span></div><div class="line"><a name="l00635"></a><span class="lineno"> 635</span>&#160; <span class="comment">// See Also:</span></div><div class="line"><a name="l00636"></a><span class="lineno"> 636</span>&#160; <span class="comment">// ON_Curve::PointAt</span></div><div class="line"><a name="l00637"></a><span class="lineno"> 637</span>&#160; <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> PointAtStart() <span class="keyword">const</span>;</div><div class="line"><a name="l00638"></a><span class="lineno"> 638</span>&#160;</div><div class="line"><a name="l00639"></a><span class="lineno"> 639</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00640"></a><span class="lineno"> 640</span>&#160; <span class="comment">// Evaluate point at the end of the curve.</span></div><div class="line"><a name="l00641"></a><span class="lineno"> 641</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00642"></a><span class="lineno"> 642</span>&#160; <span class="comment">// t - [in] evaluation parameter</span></div><div class="line"><a name="l00643"></a><span class="lineno"> 643</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00644"></a><span class="lineno"> 644</span>&#160; <span class="comment">// Point (location of the end of the curve.)</span></div><div class="line"><a name="l00645"></a><span class="lineno"> 645</span>&#160; <span class="comment">// Remarks:</span></div><div class="line"><a name="l00646"></a><span class="lineno"> 646</span>&#160; <span class="comment">// No error handling.</span></div><div class="line"><a name="l00647"></a><span class="lineno"> 647</span>&#160; <span class="comment">// See Also:</span></div><div class="line"><a name="l00648"></a><span class="lineno"> 648</span>&#160; <span class="comment">// ON_Curve::PointAt</span></div><div class="line"><a name="l00649"></a><span class="lineno"> 649</span>&#160; <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> PointAtEnd() <span class="keyword">const</span>;</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; <span class="comment">// Description:</span></div><div class="line"><a name="l00652"></a><span class="lineno"> 652</span>&#160; <span class="comment">// Evaluate first derivative at a parameter.</span></div><div class="line"><a name="l00653"></a><span class="lineno"> 653</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00654"></a><span class="lineno"> 654</span>&#160; <span class="comment">// t - [in] evaluation parameter</span></div><div class="line"><a name="l00655"></a><span class="lineno"> 655</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00656"></a><span class="lineno"> 656</span>&#160; <span class="comment">// First derivative of the curve at the parameter t.</span></div><div class="line"><a name="l00657"></a><span class="lineno"> 657</span>&#160; <span class="comment">// Remarks:</span></div><div class="line"><a name="l00658"></a><span class="lineno"> 658</span>&#160; <span class="comment">// No error handling.</span></div><div class="line"><a name="l00659"></a><span class="lineno"> 659</span>&#160; <span class="comment">// See Also:</span></div><div class="line"><a name="l00660"></a><span class="lineno"> 660</span>&#160; <span class="comment">// ON_Curve::Ev1Der</span></div><div class="line"><a name="l00661"></a><span class="lineno"> 661</span>&#160; <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> DerivativeAt(</div><div class="line"><a name="l00662"></a><span class="lineno"> 662</span>&#160; <span class="keywordtype">double</span> t </div><div class="line"><a name="l00663"></a><span class="lineno"> 663</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00664"></a><span class="lineno"> 664</span>&#160;</div><div class="line"><a name="l00665"></a><span class="lineno"> 665</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00666"></a><span class="lineno"> 666</span>&#160; <span class="comment">// Evaluate unit tangent vector at a parameter.</span></div><div class="line"><a name="l00667"></a><span class="lineno"> 667</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00668"></a><span class="lineno"> 668</span>&#160; <span class="comment">// t - [in] evaluation parameter</span></div><div class="line"><a name="l00669"></a><span class="lineno"> 669</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00670"></a><span class="lineno"> 670</span>&#160; <span class="comment">// Unit tangent vector of the curve at the parameter t.</span></div><div class="line"><a name="l00671"></a><span class="lineno"> 671</span>&#160; <span class="comment">// Remarks:</span></div><div class="line"><a name="l00672"></a><span class="lineno"> 672</span>&#160; <span class="comment">// No error handling.</span></div><div class="line"><a name="l00673"></a><span class="lineno"> 673</span>&#160; <span class="comment">// See Also:</span></div><div class="line"><a name="l00674"></a><span class="lineno"> 674</span>&#160; <span class="comment">// ON_Curve::EvTangent</span></div><div class="line"><a name="l00675"></a><span class="lineno"> 675</span>&#160; <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> TangentAt(</div><div class="line"><a name="l00676"></a><span class="lineno"> 676</span>&#160; <span class="keywordtype">double</span> t </div><div class="line"><a name="l00677"></a><span class="lineno"> 677</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00678"></a><span class="lineno"> 678</span>&#160;</div><div class="line"><a name="l00679"></a><span class="lineno"> 679</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00680"></a><span class="lineno"> 680</span>&#160; <span class="comment">// Evaluate the curvature vector at a parameter.</span></div><div class="line"><a name="l00681"></a><span class="lineno"> 681</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00682"></a><span class="lineno"> 682</span>&#160; <span class="comment">// t - [in] evaluation parameter</span></div><div class="line"><a name="l00683"></a><span class="lineno"> 683</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00684"></a><span class="lineno"> 684</span>&#160; <span class="comment">// curvature vector of the curve at the parameter t.</span></div><div class="line"><a name="l00685"></a><span class="lineno"> 685</span>&#160; <span class="comment">// Remarks:</span></div><div class="line"><a name="l00686"></a><span class="lineno"> 686</span>&#160; <span class="comment">// No error handling.</span></div><div class="line"><a name="l00687"></a><span class="lineno"> 687</span>&#160; <span class="comment">// See Also:</span></div><div class="line"><a name="l00688"></a><span class="lineno"> 688</span>&#160; <span class="comment">// ON_Curve::EvCurvature</span></div><div class="line"><a name="l00689"></a><span class="lineno"> 689</span>&#160; <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> CurvatureAt(</div><div class="line"><a name="l00690"></a><span class="lineno"> 690</span>&#160; <span class="keywordtype">double</span> t</div><div class="line"><a name="l00691"></a><span class="lineno"> 691</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00692"></a><span class="lineno"> 692</span>&#160;</div><div class="line"><a name="l00693"></a><span class="lineno"> 693</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00694"></a><span class="lineno"> 694</span>&#160; <span class="comment">// Return a 3d frame at a parameter.</span></div><div class="line"><a name="l00695"></a><span class="lineno"> 695</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00696"></a><span class="lineno"> 696</span>&#160; <span class="comment">// t - [in] evaluation parameter</span></div><div class="line"><a name="l00697"></a><span class="lineno"> 697</span>&#160; <span class="comment">// plane - [out] the frame is returned here</span></div><div class="line"><a name="l00698"></a><span class="lineno"> 698</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00699"></a><span class="lineno"> 699</span>&#160; <span class="comment">// true if successful</span></div><div class="line"><a name="l00700"></a><span class="lineno"> 700</span>&#160; <span class="comment">// See Also:</span></div><div class="line"><a name="l00701"></a><span class="lineno"> 701</span>&#160; <span class="comment">// ON_Curve::PointAt, ON_Curve::TangentAt,</span></div><div class="line"><a name="l00702"></a><span class="lineno"> 702</span>&#160; <span class="comment">// ON_Curve::Ev1Der, Ev2Der</span></div><div class="line"><a name="l00703"></a><span class="lineno"> 703</span>&#160; <span class="keywordtype">bool</span> FrameAt( <span class="keywordtype">double</span> t, <a class="code" href="../../d4/d48/class_o_n___plane.html">ON_Plane</a>&amp; plane) <span class="keyword">const</span>;</div><div class="line"><a name="l00704"></a><span class="lineno"> 704</span>&#160;</div><div class="line"><a name="l00705"></a><span class="lineno"> 705</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00706"></a><span class="lineno"> 706</span>&#160; <span class="comment">// Evaluate point at a parameter with error checking.</span></div><div class="line"><a name="l00707"></a><span class="lineno"> 707</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00708"></a><span class="lineno"> 708</span>&#160; <span class="comment">// t - [in] evaluation parameter</span></div><div class="line"><a name="l00709"></a><span class="lineno"> 709</span>&#160; <span class="comment">// point - [out] value of curve at t</span></div><div class="line"><a name="l00710"></a><span class="lineno"> 710</span>&#160; <span class="comment">// side - [in] optional - determines which side to evaluate from</span></div><div class="line"><a name="l00711"></a><span class="lineno"> 711</span>&#160; <span class="comment">// =0 default</span></div><div class="line"><a name="l00712"></a><span class="lineno"> 712</span>&#160; <span class="comment">// &lt;0 to evaluate from below, </span></div><div class="line"><a name="l00713"></a><span class="lineno"> 713</span>&#160; <span class="comment">// &gt;0 to evaluate from above</span></div><div class="line"><a name="l00714"></a><span class="lineno"> 714</span>&#160; <span class="comment">// hint - [in/out] optional evaluation hint used to speed repeated evaluations</span></div><div class="line"><a name="l00715"></a><span class="lineno"> 715</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00716"></a><span class="lineno"> 716</span>&#160; <span class="comment">// false if unable to evaluate.</span></div><div class="line"><a name="l00717"></a><span class="lineno"> 717</span>&#160; <span class="comment">// See Also:</span></div><div class="line"><a name="l00718"></a><span class="lineno"> 718</span>&#160; <span class="comment">// ON_Curve::PointAt</span></div><div class="line"><a name="l00719"></a><span class="lineno"> 719</span>&#160; <span class="comment">// ON_Curve::EvTangent</span></div><div class="line"><a name="l00720"></a><span class="lineno"> 720</span>&#160; <span class="comment">// ON_Curve::Evaluate</span></div><div class="line"><a name="l00721"></a><span class="lineno"> 721</span>&#160; <span class="keywordtype">bool</span> EvPoint(</div><div class="line"><a name="l00722"></a><span class="lineno"> 722</span>&#160; <span class="keywordtype">double</span> t,</div><div class="line"><a name="l00723"></a><span class="lineno"> 723</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="l00724"></a><span class="lineno"> 724</span>&#160; <span class="keywordtype">int</span> side = 0,</div><div class="line"><a name="l00725"></a><span class="lineno"> 725</span>&#160; <span class="keywordtype">int</span>* hint = 0</div><div class="line"><a name="l00726"></a><span class="lineno"> 726</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00727"></a><span class="lineno"> 727</span>&#160;</div><div class="line"><a name="l00728"></a><span class="lineno"> 728</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00729"></a><span class="lineno"> 729</span>&#160; <span class="comment">// Evaluate first derivative at a parameter with error checking.</span></div><div class="line"><a name="l00730"></a><span class="lineno"> 730</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00731"></a><span class="lineno"> 731</span>&#160; <span class="comment">// t - [in] evaluation parameter</span></div><div class="line"><a name="l00732"></a><span class="lineno"> 732</span>&#160; <span class="comment">// point - [out] value of curve at t</span></div><div class="line"><a name="l00733"></a><span class="lineno"> 733</span>&#160; <span class="comment">// first_derivative - [out] value of first derivative at t</span></div><div class="line"><a name="l00734"></a><span class="lineno"> 734</span>&#160; <span class="comment">// side - [in] optional - determines which side to evaluate from</span></div><div class="line"><a name="l00735"></a><span class="lineno"> 735</span>&#160; <span class="comment">// =0 default</span></div><div class="line"><a name="l00736"></a><span class="lineno"> 736</span>&#160; <span class="comment">// &lt;0 to evaluate from below, </span></div><div class="line"><a name="l00737"></a><span class="lineno"> 737</span>&#160; <span class="comment">// &gt;0 to evaluate from above</span></div><div class="line"><a name="l00738"></a><span class="lineno"> 738</span>&#160; <span class="comment">// hint - [in/out] optional evaluation hint used to speed repeated evaluations</span></div><div class="line"><a name="l00739"></a><span class="lineno"> 739</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00740"></a><span class="lineno"> 740</span>&#160; <span class="comment">// false if unable to evaluate.</span></div><div class="line"><a name="l00741"></a><span class="lineno"> 741</span>&#160; <span class="comment">// See Also:</span></div><div class="line"><a name="l00742"></a><span class="lineno"> 742</span>&#160; <span class="comment">// ON_Curve::EvPoint</span></div><div class="line"><a name="l00743"></a><span class="lineno"> 743</span>&#160; <span class="comment">// ON_Curve::Ev2Der</span></div><div class="line"><a name="l00744"></a><span class="lineno"> 744</span>&#160; <span class="comment">// ON_Curve::EvTangent</span></div><div class="line"><a name="l00745"></a><span class="lineno"> 745</span>&#160; <span class="comment">// ON_Curve::Evaluate</span></div><div class="line"><a name="l00746"></a><span class="lineno"> 746</span>&#160; <span class="keywordtype">bool</span> Ev1Der(</div><div class="line"><a name="l00747"></a><span class="lineno"> 747</span>&#160; <span class="keywordtype">double</span> t,</div><div class="line"><a name="l00748"></a><span class="lineno"> 748</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="l00749"></a><span class="lineno"> 749</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="l00750"></a><span class="lineno"> 750</span>&#160; <span class="keywordtype">int</span> side = 0,</div><div class="line"><a name="l00751"></a><span class="lineno"> 751</span>&#160; <span class="keywordtype">int</span>* hint = 0</div><div class="line"><a name="l00752"></a><span class="lineno"> 752</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00753"></a><span class="lineno"> 753</span>&#160;</div><div class="line"><a name="l00754"></a><span class="lineno"> 754</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00755"></a><span class="lineno"> 755</span>&#160; <span class="comment">// Evaluate second derivative at a parameter with error checking.</span></div><div class="line"><a name="l00756"></a><span class="lineno"> 756</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00757"></a><span class="lineno"> 757</span>&#160; <span class="comment">// t - [in] evaluation parameter</span></div><div class="line"><a name="l00758"></a><span class="lineno"> 758</span>&#160; <span class="comment">// point - [out] value of curve at t</span></div><div class="line"><a name="l00759"></a><span class="lineno"> 759</span>&#160; <span class="comment">// first_derivative - [out] value of first derivative at t</span></div><div class="line"><a name="l00760"></a><span class="lineno"> 760</span>&#160; <span class="comment">// second_derivative - [out] value of second derivative at t</span></div><div class="line"><a name="l00761"></a><span class="lineno"> 761</span>&#160; <span class="comment">// side - [in] optional - determines which side to evaluate from</span></div><div class="line"><a name="l00762"></a><span class="lineno"> 762</span>&#160; <span class="comment">// =0 default</span></div><div class="line"><a name="l00763"></a><span class="lineno"> 763</span>&#160; <span class="comment">// &lt;0 to evaluate from below, </span></div><div class="line"><a name="l00764"></a><span class="lineno"> 764</span>&#160; <span class="comment">// &gt;0 to evaluate from above</span></div><div class="line"><a name="l00765"></a><span class="lineno"> 765</span>&#160; <span class="comment">// hint - [in/out] optional evaluation hint used to speed repeated evaluations</span></div><div class="line"><a name="l00766"></a><span class="lineno"> 766</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00767"></a><span class="lineno"> 767</span>&#160; <span class="comment">// false if unable to evaluate.</span></div><div class="line"><a name="l00768"></a><span class="lineno"> 768</span>&#160; <span class="comment">// See Also:</span></div><div class="line"><a name="l00769"></a><span class="lineno"> 769</span>&#160; <span class="comment">// ON_Curve::Ev1Der</span></div><div class="line"><a name="l00770"></a><span class="lineno"> 770</span>&#160; <span class="comment">// ON_Curve::EvCurvature</span></div><div class="line"><a name="l00771"></a><span class="lineno"> 771</span>&#160; <span class="comment">// ON_Curve::Evaluate</span></div><div class="line"><a name="l00772"></a><span class="lineno"> 772</span>&#160; <span class="keywordtype">bool</span> Ev2Der(</div><div class="line"><a name="l00773"></a><span class="lineno"> 773</span>&#160; <span class="keywordtype">double</span> t,</div><div class="line"><a name="l00774"></a><span class="lineno"> 774</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="l00775"></a><span class="lineno"> 775</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="l00776"></a><span class="lineno"> 776</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="l00777"></a><span class="lineno"> 777</span>&#160; <span class="keywordtype">int</span> side = 0,</div><div class="line"><a name="l00778"></a><span class="lineno"> 778</span>&#160; <span class="keywordtype">int</span>* hint = 0</div><div class="line"><a name="l00779"></a><span class="lineno"> 779</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00780"></a><span class="lineno"> 780</span>&#160;</div><div class="line"><a name="l00781"></a><span class="lineno"> 781</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00782"></a><span class="lineno"> 782</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00783"></a><span class="lineno"> 783</span>&#160;<span class="comment"> Evaluate unit tangent at a parameter with error checking.</span></div><div class="line"><a name="l00784"></a><span class="lineno"> 784</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l00785"></a><span class="lineno"> 785</span>&#160;<span class="comment"> t - [in] evaluation parameter</span></div><div class="line"><a name="l00786"></a><span class="lineno"> 786</span>&#160;<span class="comment"> point - [out] value of curve at t</span></div><div class="line"><a name="l00787"></a><span class="lineno"> 787</span>&#160;<span class="comment"> tangent - [out] value of unit tangent</span></div><div class="line"><a name="l00788"></a><span class="lineno"> 788</span>&#160;<span class="comment"> side - [in] optional - determines which side to evaluate from</span></div><div class="line"><a name="l00789"></a><span class="lineno"> 789</span>&#160;<span class="comment"> =0 default</span></div><div class="line"><a name="l00790"></a><span class="lineno"> 790</span>&#160;<span class="comment"> &lt;0 to evaluate from below, </span></div><div class="line"><a name="l00791"></a><span class="lineno"> 791</span>&#160;<span class="comment"> &gt;0 to evaluate from above</span></div><div class="line"><a name="l00792"></a><span class="lineno"> 792</span>&#160;<span class="comment"> hint - [in/out] optional evaluation hint used to speed repeated evaluations</span></div><div class="line"><a name="l00793"></a><span class="lineno"> 793</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00794"></a><span class="lineno"> 794</span>&#160;<span class="comment"> false if unable to evaluate.</span></div><div class="line"><a name="l00795"></a><span class="lineno"> 795</span>&#160;<span class="comment"> See Also:</span></div><div class="line"><a name="l00796"></a><span class="lineno"> 796</span>&#160;<span class="comment"> ON_Curve::TangentAt</span></div><div class="line"><a name="l00797"></a><span class="lineno"> 797</span>&#160;<span class="comment"> ON_Curve::Ev1Der</span></div><div class="line"><a name="l00798"></a><span class="lineno"> 798</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00799"></a><span class="lineno"> 799</span>&#160; <span class="keywordtype">bool</span> EvTangent(</div><div class="line"><a name="l00800"></a><span class="lineno"> 800</span>&#160; <span class="keywordtype">double</span> t,</div><div class="line"><a name="l00801"></a><span class="lineno"> 801</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="l00802"></a><span class="lineno"> 802</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="l00803"></a><span class="lineno"> 803</span>&#160; <span class="keywordtype">int</span> side = 0,</div><div class="line"><a name="l00804"></a><span class="lineno"> 804</span>&#160; <span class="keywordtype">int</span>* hint = 0</div><div class="line"><a name="l00805"></a><span class="lineno"> 805</span>&#160; ) <span class="keyword">const</span>;</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"> Description:</span></div><div class="line"><a name="l00809"></a><span class="lineno"> 809</span>&#160;<span class="comment"> Evaluate unit tangent and curvature at a parameter with error checking.</span></div><div class="line"><a name="l00810"></a><span class="lineno"> 810</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l00811"></a><span class="lineno"> 811</span>&#160;<span class="comment"> t - [in] evaluation parameter</span></div><div class="line"><a name="l00812"></a><span class="lineno"> 812</span>&#160;<span class="comment"> point - [out] value of curve at t</span></div><div class="line"><a name="l00813"></a><span class="lineno"> 813</span>&#160;<span class="comment"> tangent - [out] value of unit tangent</span></div><div class="line"><a name="l00814"></a><span class="lineno"> 814</span>&#160;<span class="comment"> kappa - [out] value of curvature vector</span></div><div class="line"><a name="l00815"></a><span class="lineno"> 815</span>&#160;<span class="comment"> side - [in] optional - determines which side to evaluate from</span></div><div class="line"><a name="l00816"></a><span class="lineno"> 816</span>&#160;<span class="comment"> =0 default</span></div><div class="line"><a name="l00817"></a><span class="lineno"> 817</span>&#160;<span class="comment"> &lt;0 to evaluate from below, </span></div><div class="line"><a name="l00818"></a><span class="lineno"> 818</span>&#160;<span class="comment"> &gt;0 to evaluate from above</span></div><div class="line"><a name="l00819"></a><span class="lineno"> 819</span>&#160;<span class="comment"> hint - [in/out] optional evaluation hint used to speed repeated evaluations</span></div><div class="line"><a name="l00820"></a><span class="lineno"> 820</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00821"></a><span class="lineno"> 821</span>&#160;<span class="comment"> false if unable to evaluate.</span></div><div class="line"><a name="l00822"></a><span class="lineno"> 822</span>&#160;<span class="comment"> See Also:</span></div><div class="line"><a name="l00823"></a><span class="lineno"> 823</span>&#160;<span class="comment"> ON_Curve::CurvatureAt</span></div><div class="line"><a name="l00824"></a><span class="lineno"> 824</span>&#160;<span class="comment"> ON_Curve::Ev2Der</span></div><div class="line"><a name="l00825"></a><span class="lineno"> 825</span>&#160;<span class="comment"> ON_EvCurvature</span></div><div class="line"><a name="l00826"></a><span class="lineno"> 826</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00827"></a><span class="lineno"> 827</span>&#160; <span class="keywordtype">bool</span> EvCurvature(</div><div class="line"><a name="l00828"></a><span class="lineno"> 828</span>&#160; <span class="keywordtype">double</span> t,</div><div class="line"><a name="l00829"></a><span class="lineno"> 829</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="l00830"></a><span class="lineno"> 830</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="l00831"></a><span class="lineno"> 831</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="l00832"></a><span class="lineno"> 832</span>&#160; <span class="keywordtype">int</span> side = 0,</div><div class="line"><a name="l00833"></a><span class="lineno"> 833</span>&#160; <span class="keywordtype">int</span>* hint = 0</div><div class="line"><a name="l00834"></a><span class="lineno"> 834</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00835"></a><span class="lineno"> 835</span>&#160;</div><div class="line"><a name="l00836"></a><span class="lineno"> 836</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00837"></a><span class="lineno"> 837</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00838"></a><span class="lineno"> 838</span>&#160;<span class="comment"> This evaluator actually does all the work. The other ON_Curve</span></div><div class="line"><a name="l00839"></a><span class="lineno"> 839</span>&#160;<span class="comment"> evaluation tools call this virtual function.</span></div><div class="line"><a name="l00840"></a><span class="lineno"> 840</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l00841"></a><span class="lineno"> 841</span>&#160;<span class="comment"> t - [in] evaluation parameter ( usually in Domain() ).</span></div><div class="line"><a name="l00842"></a><span class="lineno"> 842</span>&#160;<span class="comment"> der_count - [in] (&gt;=0) number of derivatives to evaluate</span></div><div class="line"><a name="l00843"></a><span class="lineno"> 843</span>&#160;<span class="comment"> v_stride - [in] (&gt;=Dimension()) stride to use for the v[] array</span></div><div class="line"><a name="l00844"></a><span class="lineno"> 844</span>&#160;<span class="comment"> v - [out] array of length (der_count+1)*v_stride</span></div><div class="line"><a name="l00845"></a><span class="lineno"> 845</span>&#160;<span class="comment"> curve(t) is returned in (v[0],...,v[m_dim-1]),</span></div><div class="line"><a name="l00846"></a><span class="lineno"> 846</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="l00847"></a><span class="lineno"> 847</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="l00848"></a><span class="lineno"> 848</span>&#160;<span class="comment"> etc.</span></div><div class="line"><a name="l00849"></a><span class="lineno"> 849</span>&#160;<span class="comment"> side - [in] optional - determines which side to evaluate from</span></div><div class="line"><a name="l00850"></a><span class="lineno"> 850</span>&#160;<span class="comment"> =0 default</span></div><div class="line"><a name="l00851"></a><span class="lineno"> 851</span>&#160;<span class="comment"> &lt;0 to evaluate from below, </span></div><div class="line"><a name="l00852"></a><span class="lineno"> 852</span>&#160;<span class="comment"> &gt;0 to evaluate from above</span></div><div class="line"><a name="l00853"></a><span class="lineno"> 853</span>&#160;<span class="comment"> hint - [in/out] optional evaluation hint used to speed repeated evaluations</span></div><div class="line"><a name="l00854"></a><span class="lineno"> 854</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00855"></a><span class="lineno"> 855</span>&#160;<span class="comment"> false if unable to evaluate.</span></div><div class="line"><a name="l00856"></a><span class="lineno"> 856</span>&#160;<span class="comment"> See Also:</span></div><div class="line"><a name="l00857"></a><span class="lineno"> 857</span>&#160;<span class="comment"> ON_Curve::EvPoint</span></div><div class="line"><a name="l00858"></a><span class="lineno"> 858</span>&#160;<span class="comment"> ON_Curve::Ev1Der</span></div><div class="line"><a name="l00859"></a><span class="lineno"> 859</span>&#160;<span class="comment"> ON_Curve::Ev2Der</span></div><div class="line"><a name="l00860"></a><span class="lineno"> 860</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00861"></a><span class="lineno"> 861</span>&#160; <span class="keyword">virtual</span> </div><div class="line"><a name="l00862"></a><span class="lineno"> 862</span>&#160; <span class="keywordtype">bool</span> Evaluate(</div><div class="line"><a name="l00863"></a><span class="lineno"> 863</span>&#160; <span class="keywordtype">double</span> t,</div><div class="line"><a name="l00864"></a><span class="lineno"> 864</span>&#160; <span class="keywordtype">int</span> der_count,</div><div class="line"><a name="l00865"></a><span class="lineno"> 865</span>&#160; <span class="keywordtype">int</span> v_stride,</div><div class="line"><a name="l00866"></a><span class="lineno"> 866</span>&#160; <span class="keywordtype">double</span>* v,</div><div class="line"><a name="l00867"></a><span class="lineno"> 867</span>&#160; <span class="keywordtype">int</span> side = 0,</div><div class="line"><a name="l00868"></a><span class="lineno"> 868</span>&#160; <span class="keywordtype">int</span>* hint = 0</div><div class="line"><a name="l00869"></a><span class="lineno"> 869</span>&#160; ) <span class="keyword">const</span> = 0;</div><div class="line"><a name="l00870"></a><span class="lineno"> 870</span>&#160;</div><div class="line"><a name="l00871"></a><span class="lineno"> 871</span>&#160; </div><div class="line"><a name="l00872"></a><span class="lineno"> 872</span>&#160;</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"> Parameters:</span></div><div class="line"><a name="l00875"></a><span class="lineno"> 875</span>&#160;<span class="comment"> min_length -[in]</span></div><div class="line"><a name="l00876"></a><span class="lineno"> 876</span>&#160;<span class="comment"> minimum length of a linear span</span></div><div class="line"><a name="l00877"></a><span class="lineno"> 877</span>&#160;<span class="comment"> tolerance -[in]</span></div><div class="line"><a name="l00878"></a><span class="lineno"> 878</span>&#160;<span class="comment"> distance tolerance to use when checking linearity.</span></div><div class="line"><a name="l00879"></a><span class="lineno"> 879</span>&#160;<span class="comment"> Returns </span></div><div class="line"><a name="l00880"></a><span class="lineno"> 880</span>&#160;<span class="comment"> true if the span is a non-degenrate line. This means:</span></div><div class="line"><a name="l00881"></a><span class="lineno"> 881</span>&#160;<span class="comment"> - dimension = 2 or 3</span></div><div class="line"><a name="l00882"></a><span class="lineno"> 882</span>&#160;<span class="comment"> - The length of the the line segment from the span&#39;s initial </span></div><div class="line"><a name="l00883"></a><span class="lineno"> 883</span>&#160;<span class="comment"> point to the span&#39;s control point is &gt;= min_length.</span></div><div class="line"><a name="l00884"></a><span class="lineno"> 884</span>&#160;<span class="comment"> - The maximum distance from the line segment to the span</span></div><div class="line"><a name="l00885"></a><span class="lineno"> 885</span>&#160;<span class="comment"> is &lt;= tolerance and the span increases monotonically</span></div><div class="line"><a name="l00886"></a><span class="lineno"> 886</span>&#160;<span class="comment"> in the direction of the line segment.</span></div><div class="line"><a name="l00887"></a><span class="lineno"> 887</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00888"></a><span class="lineno"> 888</span>&#160; <span class="keywordtype">bool</span> FirstSpanIsLinear( </div><div class="line"><a name="l00889"></a><span class="lineno"> 889</span>&#160; <span class="keywordtype">double</span> min_length,</div><div class="line"><a name="l00890"></a><span class="lineno"> 890</span>&#160; <span class="keywordtype">double</span> tolerance</div><div class="line"><a name="l00891"></a><span class="lineno"> 891</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00892"></a><span class="lineno"> 892</span>&#160;</div><div class="line"><a name="l00893"></a><span class="lineno"> 893</span>&#160; <span class="keywordtype">bool</span> LastSpanIsLinear( </div><div class="line"><a name="l00894"></a><span class="lineno"> 894</span>&#160; <span class="keywordtype">double</span> min_length,</div><div class="line"><a name="l00895"></a><span class="lineno"> 895</span>&#160; <span class="keywordtype">double</span> tolerance</div><div class="line"><a name="l00896"></a><span class="lineno"> 896</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00897"></a><span class="lineno"> 897</span>&#160;</div><div class="line"><a name="l00898"></a><span class="lineno"> 898</span>&#160; <span class="keywordtype">bool</span> FirstSpanIsLinear( </div><div class="line"><a name="l00899"></a><span class="lineno"> 899</span>&#160; <span class="keywordtype">double</span> min_length,</div><div class="line"><a name="l00900"></a><span class="lineno"> 900</span>&#160; <span class="keywordtype">double</span> tolerance,</div><div class="line"><a name="l00901"></a><span class="lineno"> 901</span>&#160; <a class="code" href="../../d4/d6f/class_o_n___line.html">ON_Line</a>* span_line</div><div class="line"><a name="l00902"></a><span class="lineno"> 902</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00903"></a><span class="lineno"> 903</span>&#160;</div><div class="line"><a name="l00904"></a><span class="lineno"> 904</span>&#160; <span class="keywordtype">bool</span> LastSpanIsLinear( </div><div class="line"><a name="l00905"></a><span class="lineno"> 905</span>&#160; <span class="keywordtype">double</span> min_length,</div><div class="line"><a name="l00906"></a><span class="lineno"> 906</span>&#160; <span class="keywordtype">double</span> tolerance,</div><div class="line"><a name="l00907"></a><span class="lineno"> 907</span>&#160; <a class="code" href="../../d4/d6f/class_o_n___line.html">ON_Line</a>* span_line</div><div class="line"><a name="l00908"></a><span class="lineno"> 908</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00909"></a><span class="lineno"> 909</span>&#160;</div><div class="line"><a name="l00910"></a><span class="lineno"> 910</span>&#160;</div><div class="line"><a name="l00911"></a><span class="lineno"> 911</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00912"></a><span class="lineno"> 912</span>&#160; <span class="comment">// Removes portions of the curve outside the specified interval.</span></div><div class="line"><a name="l00913"></a><span class="lineno"> 913</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00914"></a><span class="lineno"> 914</span>&#160; <span class="comment">// domain - [in] interval of the curve to keep. Portions of the</span></div><div class="line"><a name="l00915"></a><span class="lineno"> 915</span>&#160; <span class="comment">// curve before curve(domain[0]) and after curve(domain[1]) are</span></div><div class="line"><a name="l00916"></a><span class="lineno"> 916</span>&#160; <span class="comment">// removed.</span></div><div class="line"><a name="l00917"></a><span class="lineno"> 917</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00918"></a><span class="lineno"> 918</span>&#160; <span class="comment">// true if successful.</span></div><div class="line"><a name="l00919"></a><span class="lineno"> 919</span>&#160; <span class="keyword">virtual</span></div><div class="line"><a name="l00920"></a><span class="lineno"> 920</span>&#160; <span class="keywordtype">bool</span> Trim(</div><div class="line"><a name="l00921"></a><span class="lineno"> 921</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="l00922"></a><span class="lineno"> 922</span>&#160; );</div><div class="line"><a name="l00923"></a><span class="lineno"> 923</span>&#160;</div><div class="line"><a name="l00924"></a><span class="lineno"> 924</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00925"></a><span class="lineno"> 925</span>&#160; <span class="comment">// Pure virtual function. Default returns false.</span></div><div class="line"><a name="l00926"></a><span class="lineno"> 926</span>&#160; <span class="comment">// Where possible, analytically extends curve to include domain.</span></div><div class="line"><a name="l00927"></a><span class="lineno"> 927</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00928"></a><span class="lineno"> 928</span>&#160; <span class="comment">// domain - [in] if domain is not included in curve domain, </span></div><div class="line"><a name="l00929"></a><span class="lineno"> 929</span>&#160; <span class="comment">// curve will be extended so that its domain includes domain. </span></div><div class="line"><a name="l00930"></a><span class="lineno"> 930</span>&#160; <span class="comment">// Will not work if curve is closed. Original curve is identical</span></div><div class="line"><a name="l00931"></a><span class="lineno"> 931</span>&#160; <span class="comment">// to the restriction of the resulting curve to the original curve domain, </span></div><div class="line"><a name="l00932"></a><span class="lineno"> 932</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00933"></a><span class="lineno"> 933</span>&#160; <span class="comment">// true if successful.</span></div><div class="line"><a name="l00934"></a><span class="lineno"> 934</span>&#160; <span class="keyword">virtual</span></div><div class="line"><a name="l00935"></a><span class="lineno"> 935</span>&#160; <span class="keywordtype">bool</span> Extend(</div><div class="line"><a name="l00936"></a><span class="lineno"> 936</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="l00937"></a><span class="lineno"> 937</span>&#160; );</div><div class="line"><a name="l00938"></a><span class="lineno"> 938</span>&#160;</div><div class="line"><a name="l00939"></a><span class="lineno"> 939</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00940"></a><span class="lineno"> 940</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00941"></a><span class="lineno"> 941</span>&#160;<span class="comment"> Splits (divides) the curve at the specified parameter. </span></div><div class="line"><a name="l00942"></a><span class="lineno"> 942</span>&#160;<span class="comment"> The parameter must be in the interior of the curve&#39;s domain.</span></div><div class="line"><a name="l00943"></a><span class="lineno"> 943</span>&#160;<span class="comment"> The pointers passed to Split must either be nullptr or point to</span></div><div class="line"><a name="l00944"></a><span class="lineno"> 944</span>&#160;<span class="comment"> an ON_Curve object of the same type. If the pointer is nullptr,</span></div><div class="line"><a name="l00945"></a><span class="lineno"> 945</span>&#160;<span class="comment"> then a curve will be created in Split(). You may pass &quot;this&quot;</span></div><div class="line"><a name="l00946"></a><span class="lineno"> 946</span>&#160;<span class="comment"> as left_side or right_side.</span></div><div class="line"><a name="l00947"></a><span class="lineno"> 947</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l00948"></a><span class="lineno"> 948</span>&#160;<span class="comment"> t - [in] parameter to split the curve at in the</span></div><div class="line"><a name="l00949"></a><span class="lineno"> 949</span>&#160;<span class="comment"> interval returned by Domain().</span></div><div class="line"><a name="l00950"></a><span class="lineno"> 950</span>&#160;<span class="comment"> left_side - [out] left portion of curve returned here</span></div><div class="line"><a name="l00951"></a><span class="lineno"> 951</span>&#160;<span class="comment"> right_side - [out] right portion of curve returned here</span></div><div class="line"><a name="l00952"></a><span class="lineno"> 952</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00953"></a><span class="lineno"> 953</span>&#160;<span class="comment"> true - The curve was split into two pieces. </span></div><div class="line"><a name="l00954"></a><span class="lineno"> 954</span>&#160;<span class="comment"> false - The curve could not be split. For example if the parameter is</span></div><div class="line"><a name="l00955"></a><span class="lineno"> 955</span>&#160;<span class="comment"> too close to an endpoint.</span></div><div class="line"><a name="l00956"></a><span class="lineno"> 956</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00957"></a><span class="lineno"> 957</span>&#160;<span class="comment"> Example:</span></div><div class="line"><a name="l00958"></a><span class="lineno"> 958</span>&#160;<span class="comment"> For example, if crv were an ON_NurbsCurve, then</span></div><div class="line"><a name="l00959"></a><span class="lineno"> 959</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00960"></a><span class="lineno"> 960</span>&#160;<span class="comment"> ON_NurbsCurve right_side;</span></div><div class="line"><a name="l00961"></a><span class="lineno"> 961</span>&#160;<span class="comment"> crv.Split( crv.Domain().Mid() &amp;crv, &amp;right_side );</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="comment"> would split crv at the parametric midpoint, put the left side</span></div><div class="line"><a name="l00964"></a><span class="lineno"> 964</span>&#160;<span class="comment"> in crv, and return the right side in right_side.</span></div><div class="line"><a name="l00965"></a><span class="lineno"> 965</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00966"></a><span class="lineno"> 966</span>&#160; <span class="keyword">virtual</span></div><div class="line"><a name="l00967"></a><span class="lineno"> 967</span>&#160; <span class="keywordtype">bool</span> Split(</div><div class="line"><a name="l00968"></a><span class="lineno"> 968</span>&#160; <span class="keywordtype">double</span> t,</div><div class="line"><a name="l00969"></a><span class="lineno"> 969</span>&#160; ON_Curve*&amp; left_side,</div><div class="line"><a name="l00970"></a><span class="lineno"> 970</span>&#160; ON_Curve*&amp; right_side</div><div class="line"><a name="l00971"></a><span class="lineno"> 971</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00972"></a><span class="lineno"> 972</span>&#160;</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"> Description:</span></div><div class="line"><a name="l00975"></a><span class="lineno"> 975</span>&#160;<span class="comment"> Get a NURBS curve representation of this curve.</span></div><div class="line"><a name="l00976"></a><span class="lineno"> 976</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l00977"></a><span class="lineno"> 977</span>&#160;<span class="comment"> nurbs_curve - [out] NURBS representation returned here</span></div><div class="line"><a name="l00978"></a><span class="lineno"> 978</span>&#160;<span class="comment"> tolerance - [in] tolerance to use when creating NURBS</span></div><div class="line"><a name="l00979"></a><span class="lineno"> 979</span>&#160;<span class="comment"> representation.</span></div><div class="line"><a name="l00980"></a><span class="lineno"> 980</span>&#160;<span class="comment"> subdomain - [in] if not nullptr, then the NURBS representation</span></div><div class="line"><a name="l00981"></a><span class="lineno"> 981</span>&#160;<span class="comment"> for this portion of the curve is returned.</span></div><div class="line"><a name="l00982"></a><span class="lineno"> 982</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00983"></a><span class="lineno"> 983</span>&#160;<span class="comment"> 0 unable to create NURBS representation</span></div><div class="line"><a name="l00984"></a><span class="lineno"> 984</span>&#160;<span class="comment"> with desired accuracy.</span></div><div class="line"><a name="l00985"></a><span class="lineno"> 985</span>&#160;<span class="comment"> 1 success - returned NURBS parameterization</span></div><div class="line"><a name="l00986"></a><span class="lineno"> 986</span>&#160;<span class="comment"> matches the curve&#39;s to wthe desired accuracy</span></div><div class="line"><a name="l00987"></a><span class="lineno"> 987</span>&#160;<span class="comment"> 2 success - returned NURBS point locus matches</span></div><div class="line"><a name="l00988"></a><span class="lineno"> 988</span>&#160;<span class="comment"> the curve&#39;s to the desired accuracy and the</span></div><div class="line"><a name="l00989"></a><span class="lineno"> 989</span>&#160;<span class="comment"> domain of the NURBS curve is correct. On</span></div><div class="line"><a name="l00990"></a><span class="lineno"> 990</span>&#160;<span class="comment"> However, This curve&#39;s parameterization and</span></div><div class="line"><a name="l00991"></a><span class="lineno"> 991</span>&#160;<span class="comment"> the NURBS curve parameterization may not </span></div><div class="line"><a name="l00992"></a><span class="lineno"> 992</span>&#160;<span class="comment"> match to the desired accuracy. This situation</span></div><div class="line"><a name="l00993"></a><span class="lineno"> 993</span>&#160;<span class="comment"> happens when getting NURBS representations of</span></div><div class="line"><a name="l00994"></a><span class="lineno"> 994</span>&#160;<span class="comment"> curves that have a transendental parameterization</span></div><div class="line"><a name="l00995"></a><span class="lineno"> 995</span>&#160;<span class="comment"> like circles</span></div><div class="line"><a name="l00996"></a><span class="lineno"> 996</span>&#160;<span class="comment"> Remarks:</span></div><div class="line"><a name="l00997"></a><span class="lineno"> 997</span>&#160;<span class="comment"> This is a low-level virtual function. If you do not need</span></div><div class="line"><a name="l00998"></a><span class="lineno"> 998</span>&#160;<span class="comment"> the parameterization information provided by the return code,</span></div><div class="line"><a name="l00999"></a><span class="lineno"> 999</span>&#160;<span class="comment"> then ON_Curve::NurbsCurve may be easier to use.</span></div><div class="line"><a name="l01000"></a><span class="lineno"> 1000</span>&#160;<span class="comment"> See Also:</span></div><div class="line"><a name="l01001"></a><span class="lineno"> 1001</span>&#160;<span class="comment"> ON_Curve::NurbsCurve</span></div><div class="line"><a name="l01002"></a><span class="lineno"> 1002</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01003"></a><span class="lineno"> 1003</span>&#160; <span class="keyword">virtual</span></div><div class="line"><a name="l01004"></a><span class="lineno"> 1004</span>&#160; <span class="keywordtype">int</span> GetNurbForm(</div><div class="line"><a name="l01005"></a><span class="lineno"> 1005</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="l01006"></a><span class="lineno"> 1006</span>&#160; <span class="keywordtype">double</span> tolerance = 0.0,</div><div class="line"><a name="l01007"></a><span class="lineno"> 1007</span>&#160; <span class="keyword">const</span> <a class="code" href="../../dc/dc7/class_o_n___interval.html">ON_Interval</a>* subdomain = <span class="keyword">nullptr</span></div><div class="line"><a name="l01008"></a><span class="lineno"> 1008</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l01009"></a><span class="lineno"> 1009</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01010"></a><span class="lineno"> 1010</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l01011"></a><span class="lineno"> 1011</span>&#160;<span class="comment"> Does a NURBS curve representation of this curve.</span></div><div class="line"><a name="l01012"></a><span class="lineno"> 1012</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l01013"></a><span class="lineno"> 1013</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l01014"></a><span class="lineno"> 1014</span>&#160;<span class="comment"> 0 unable to create NURBS representation</span></div><div class="line"><a name="l01015"></a><span class="lineno"> 1015</span>&#160;<span class="comment"> with desired accuracy.</span></div><div class="line"><a name="l01016"></a><span class="lineno"> 1016</span>&#160;<span class="comment"> 1 success - NURBS parameterization</span></div><div class="line"><a name="l01017"></a><span class="lineno"> 1017</span>&#160;<span class="comment"> matches the curve&#39;s to wthe desired accuracy</span></div><div class="line"><a name="l01018"></a><span class="lineno"> 1018</span>&#160;<span class="comment"> 2 success - NURBS point locus matches</span></div><div class="line"><a name="l01019"></a><span class="lineno"> 1019</span>&#160;<span class="comment"> the curve&#39;s and the</span></div><div class="line"><a name="l01020"></a><span class="lineno"> 1020</span>&#160;<span class="comment"> domain of the NURBS curve is correct. </span></div><div class="line"><a name="l01021"></a><span class="lineno"> 1021</span>&#160;<span class="comment"> However, This curve&#39;s parameterization and</span></div><div class="line"><a name="l01022"></a><span class="lineno"> 1022</span>&#160;<span class="comment"> the NURBS curve parameterization may not </span></div><div class="line"><a name="l01023"></a><span class="lineno"> 1023</span>&#160;<span class="comment"> match. This situation</span></div><div class="line"><a name="l01024"></a><span class="lineno"> 1024</span>&#160;<span class="comment"> happens when getting NURBS representations of</span></div><div class="line"><a name="l01025"></a><span class="lineno"> 1025</span>&#160;<span class="comment"> curves that have a transendental parameterization</span></div><div class="line"><a name="l01026"></a><span class="lineno"> 1026</span>&#160;<span class="comment"> like circles</span></div><div class="line"><a name="l01027"></a><span class="lineno"> 1027</span>&#160;<span class="comment"> Remarks:</span></div><div class="line"><a name="l01028"></a><span class="lineno"> 1028</span>&#160;<span class="comment"> This is a low-level virtual function. </span></div><div class="line"><a name="l01029"></a><span class="lineno"> 1029</span>&#160;<span class="comment"> See Also:</span></div><div class="line"><a name="l01030"></a><span class="lineno"> 1030</span>&#160;<span class="comment"> ON_Curve::GetNurbForm</span></div><div class="line"><a name="l01031"></a><span class="lineno"> 1031</span>&#160;<span class="comment"> ON_Curve::NurbsCurve</span></div><div class="line"><a name="l01032"></a><span class="lineno"> 1032</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01033"></a><span class="lineno"> 1033</span>&#160; <span class="keyword">virtual</span></div><div class="line"><a name="l01034"></a><span class="lineno"> 1034</span>&#160; <span class="keywordtype">int</span> HasNurbForm() <span class="keyword">const</span>;</div><div class="line"><a name="l01035"></a><span class="lineno"> 1035</span>&#160;</div><div class="line"><a name="l01036"></a><span class="lineno"> 1036</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01037"></a><span class="lineno"> 1037</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l01038"></a><span class="lineno"> 1038</span>&#160;<span class="comment"> Get a NURBS curve representation of this curve.</span></div><div class="line"><a name="l01039"></a><span class="lineno"> 1039</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l01040"></a><span class="lineno"> 1040</span>&#160;<span class="comment"> pNurbsCurve - [in/out] if not nullptr, this ON_NurbsCurve</span></div><div class="line"><a name="l01041"></a><span class="lineno"> 1041</span>&#160;<span class="comment"> will be used to store the NURBS representation</span></div><div class="line"><a name="l01042"></a><span class="lineno"> 1042</span>&#160;<span class="comment"> of the curve will be returned.</span></div><div class="line"><a name="l01043"></a><span class="lineno"> 1043</span>&#160;<span class="comment"> tolerance - [in] tolerance to use when creating NURBS</span></div><div class="line"><a name="l01044"></a><span class="lineno"> 1044</span>&#160;<span class="comment"> representation.</span></div><div class="line"><a name="l01045"></a><span class="lineno"> 1045</span>&#160;<span class="comment"> subdomain - [in] if not nullptr, then the NURBS representation</span></div><div class="line"><a name="l01046"></a><span class="lineno"> 1046</span>&#160;<span class="comment"> for this portion of the curve is returned.</span></div><div class="line"><a name="l01047"></a><span class="lineno"> 1047</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l01048"></a><span class="lineno"> 1048</span>&#160;<span class="comment"> nullptr or a NURBS representation of the curve.</span></div><div class="line"><a name="l01049"></a><span class="lineno"> 1049</span>&#160;<span class="comment"> Remarks:</span></div><div class="line"><a name="l01050"></a><span class="lineno"> 1050</span>&#160;<span class="comment"> See ON_Surface::GetNurbForm for important details about</span></div><div class="line"><a name="l01051"></a><span class="lineno"> 1051</span>&#160;<span class="comment"> the NURBS surface parameterization.</span></div><div class="line"><a name="l01052"></a><span class="lineno"> 1052</span>&#160;<span class="comment"> See Also:</span></div><div class="line"><a name="l01053"></a><span class="lineno"> 1053</span>&#160;<span class="comment"> ON_Curve::GetNurbForm</span></div><div class="line"><a name="l01054"></a><span class="lineno"> 1054</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01055"></a><span class="lineno"> 1055</span>&#160; <a class="code" href="../../d3/d6a/class_o_n___nurbs_curve.html">ON_NurbsCurve</a>* NurbsCurve(</div><div class="line"><a name="l01056"></a><span class="lineno"> 1056</span>&#160; <a class="code" href="../../d3/d6a/class_o_n___nurbs_curve.html">ON_NurbsCurve</a>* pNurbsCurve = <span class="keyword">nullptr</span>,</div><div class="line"><a name="l01057"></a><span class="lineno"> 1057</span>&#160; <span class="keywordtype">double</span> tolerance = 0.0,</div><div class="line"><a name="l01058"></a><span class="lineno"> 1058</span>&#160; <span class="keyword">const</span> <a class="code" href="../../dc/dc7/class_o_n___interval.html">ON_Interval</a>* subdomain = <span class="keyword">nullptr</span></div><div class="line"><a name="l01059"></a><span class="lineno"> 1059</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l01060"></a><span class="lineno"> 1060</span>&#160;</div><div class="line"><a name="l01061"></a><span class="lineno"> 1061</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l01062"></a><span class="lineno"> 1062</span>&#160; <span class="comment">// Convert a NURBS curve parameter to a curve parameter</span></div><div class="line"><a name="l01063"></a><span class="lineno"> 1063</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l01064"></a><span class="lineno"> 1064</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l01065"></a><span class="lineno"> 1065</span>&#160; <span class="comment">// nurbs_t - [in] nurbs form parameter</span></div><div class="line"><a name="l01066"></a><span class="lineno"> 1066</span>&#160; <span class="comment">// curve_t - [out] curve parameter</span></div><div class="line"><a name="l01067"></a><span class="lineno"> 1067</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l01068"></a><span class="lineno"> 1068</span>&#160; <span class="comment">// Remarks:</span></div><div class="line"><a name="l01069"></a><span class="lineno"> 1069</span>&#160; <span class="comment">// If GetNurbForm returns 2, this function converts the curve</span></div><div class="line"><a name="l01070"></a><span class="lineno"> 1070</span>&#160; <span class="comment">// parameter to the NURBS curve parameter.</span></div><div class="line"><a name="l01071"></a><span class="lineno"> 1071</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l01072"></a><span class="lineno"> 1072</span>&#160; <span class="comment">// See Also:</span></div><div class="line"><a name="l01073"></a><span class="lineno"> 1073</span>&#160; <span class="comment">// ON_Curve::GetNurbForm, ON_Curve::GetNurbFormParameterFromCurveParameter</span></div><div class="line"><a name="l01074"></a><span class="lineno"> 1074</span>&#160; <span class="keyword">virtual</span></div><div class="line"><a name="l01075"></a><span class="lineno"> 1075</span>&#160; <span class="keywordtype">bool</span> GetCurveParameterFromNurbFormParameter(</div><div class="line"><a name="l01076"></a><span class="lineno"> 1076</span>&#160; <span class="keywordtype">double</span> nurbs_t,</div><div class="line"><a name="l01077"></a><span class="lineno"> 1077</span>&#160; <span class="keywordtype">double</span>* curve_t</div><div class="line"><a name="l01078"></a><span class="lineno"> 1078</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l01079"></a><span class="lineno"> 1079</span>&#160;</div><div class="line"><a name="l01080"></a><span class="lineno"> 1080</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l01081"></a><span class="lineno"> 1081</span>&#160; <span class="comment">// Convert a curve parameter to a NURBS curve parameter.</span></div><div class="line"><a name="l01082"></a><span class="lineno"> 1082</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l01083"></a><span class="lineno"> 1083</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l01084"></a><span class="lineno"> 1084</span>&#160; <span class="comment">// curve_t - [in] curve parameter</span></div><div class="line"><a name="l01085"></a><span class="lineno"> 1085</span>&#160; <span class="comment">// nurbs_t - [out] nurbs form parameter</span></div><div class="line"><a name="l01086"></a><span class="lineno"> 1086</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l01087"></a><span class="lineno"> 1087</span>&#160; <span class="comment">// Remarks:</span></div><div class="line"><a name="l01088"></a><span class="lineno"> 1088</span>&#160; <span class="comment">// If GetNurbForm returns 2, this function converts the curve</span></div><div class="line"><a name="l01089"></a><span class="lineno"> 1089</span>&#160; <span class="comment">// parameter to the NURBS curve parameter.</span></div><div class="line"><a name="l01090"></a><span class="lineno"> 1090</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l01091"></a><span class="lineno"> 1091</span>&#160; <span class="comment">// See Also:</span></div><div class="line"><a name="l01092"></a><span class="lineno"> 1092</span>&#160; <span class="comment">// ON_Curve::GetNurbForm, ON_Curve::GetCurveParameterFromNurbFormParameter</span></div><div class="line"><a name="l01093"></a><span class="lineno"> 1093</span>&#160; <span class="keyword">virtual</span></div><div class="line"><a name="l01094"></a><span class="lineno"> 1094</span>&#160; <span class="keywordtype">bool</span> GetNurbFormParameterFromCurveParameter(</div><div class="line"><a name="l01095"></a><span class="lineno"> 1095</span>&#160; <span class="keywordtype">double</span> curve_t,</div><div class="line"><a name="l01096"></a><span class="lineno"> 1096</span>&#160; <span class="keywordtype">double</span>* nurbs_t</div><div class="line"><a name="l01097"></a><span class="lineno"> 1097</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l01098"></a><span class="lineno"> 1098</span>&#160;</div><div class="line"><a name="l01099"></a><span class="lineno"> 1099</span>&#160;</div><div class="line"><a name="l01100"></a><span class="lineno"> 1100</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l01101"></a><span class="lineno"> 1101</span>&#160; <span class="comment">// Destroys the runtime curve tree used to speed closest</span></div><div class="line"><a name="l01102"></a><span class="lineno"> 1102</span>&#160; <span class="comment">// point and intersection calcuations.</span></div><div class="line"><a name="l01103"></a><span class="lineno"> 1103</span>&#160; <span class="comment">// Remarks:</span></div><div class="line"><a name="l01104"></a><span class="lineno"> 1104</span>&#160; <span class="comment">// If the geometry of the curve is modified in any way,</span></div><div class="line"><a name="l01105"></a><span class="lineno"> 1105</span>&#160; <span class="comment">// then call DestroyCurveTree(); The curve tree is </span></div><div class="line"><a name="l01106"></a><span class="lineno"> 1106</span>&#160; <span class="comment">// created as needed.</span></div><div class="line"><a name="l01107"></a><span class="lineno"> 1107</span>&#160; <span class="keywordtype">void</span> DestroyCurveTree();</div><div class="line"><a name="l01108"></a><span class="lineno"> 1108</span>&#160;</div><div class="line"><a name="l01109"></a><span class="lineno"> 1109</span>&#160;</div><div class="line"><a name="l01110"></a><span class="lineno"> 1110</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01111"></a><span class="lineno"> 1111</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l01112"></a><span class="lineno"> 1112</span>&#160;<span class="comment"> Lookup a parameter in the m_t array, optionally using a built in snap tolerance to </span></div><div class="line"><a name="l01113"></a><span class="lineno"> 1113</span>&#160;<span class="comment"> snap a parameter value to an element of m_t.</span></div><div class="line"><a name="l01114"></a><span class="lineno"> 1114</span>&#160;<span class="comment"> This function is used by some types derived from ON_Curve to snap parameter values</span></div><div class="line"><a name="l01115"></a><span class="lineno"> 1115</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l01116"></a><span class="lineno"> 1116</span>&#160;<span class="comment"> t - [in] parameter</span></div><div class="line"><a name="l01117"></a><span class="lineno"> 1117</span>&#160;<span class="comment"> index -[out] index into m_t such that</span></div><div class="line"><a name="l01118"></a><span class="lineno"> 1118</span>&#160;<span class="comment"> if function returns false then</span></div><div class="line"><a name="l01119"></a><span class="lineno"> 1119</span>&#160;<span class="comment"> </span></div><div class="line"><a name="l01120"></a><span class="lineno"> 1120</span>&#160;<span class="comment"> @table </span></div><div class="line"><a name="l01121"></a><span class="lineno"> 1121</span>&#160;<span class="comment"> value condition</span></div><div class="line"><a name="l01122"></a><span class="lineno"> 1122</span>&#160;<span class="comment"> -1 t&lt;m_t[0] or m_t is empty </span></div><div class="line"><a name="l01123"></a><span class="lineno"> 1123</span>&#160;<span class="comment"> 0&lt;=i&lt;=m_t.Count()-2 m_t[i] &lt; t &lt; m_t[i+1] </span></div><div class="line"><a name="l01124"></a><span class="lineno"> 1124</span>&#160;<span class="comment"> m_t.Count()-1 t&gt;m_t[ m_t.Count()-1] </span></div><div class="line"><a name="l01125"></a><span class="lineno"> 1125</span>&#160;<span class="comment"></span></div><div class="line"><a name="l01126"></a><span class="lineno"> 1126</span>&#160;<span class="comment"> if the function returns true then t is equal to, or is closest to and </span></div><div class="line"><a name="l01127"></a><span class="lineno"> 1127</span>&#160;<span class="comment"> within tolerance of m_t[index]. </span></div><div class="line"><a name="l01128"></a><span class="lineno"> 1128</span>&#160;<span class="comment"> </span></div><div class="line"><a name="l01129"></a><span class="lineno"> 1129</span>&#160;<span class="comment"> bEnableSnap-[in] enable snapping </span></div><div class="line"><a name="l01130"></a><span class="lineno"> 1130</span>&#160;<span class="comment"> m_t -[in] Array of parameter values to snap to</span></div><div class="line"><a name="l01131"></a><span class="lineno"> 1131</span>&#160;<span class="comment"> RelTol -[in] tolerance used in snapping</span></div><div class="line"><a name="l01132"></a><span class="lineno"> 1132</span>&#160;<span class="comment"> </span></div><div class="line"><a name="l01133"></a><span class="lineno"> 1133</span>&#160;<span class="comment"> Returns: </span></div><div class="line"><a name="l01134"></a><span class="lineno"> 1134</span>&#160;<span class="comment"> true if the t is exactly equal to (bEnableSnap==false), or within tolerance of</span></div><div class="line"><a name="l01135"></a><span class="lineno"> 1135</span>&#160;<span class="comment"> (bEnableSnap==true) m_t[index]. </span></div><div class="line"><a name="l01136"></a><span class="lineno"> 1136</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01137"></a><span class="lineno"> 1137</span>&#160;<span class="keyword">protected</span>:</div><div class="line"><a name="l01138"></a><span class="lineno"> 1138</span>&#160; <span class="keywordtype">bool</span> ParameterSearch( <span class="keywordtype">double</span> t, <span class="keywordtype">int</span>&amp; index, <span class="keywordtype">bool</span> bEnableSnap, <span class="keyword">const</span> <a class="code" href="../../dc/dfe/class_o_n___simple_array.html">ON_SimpleArray&lt;double&gt;</a>&amp; m_t, </div><div class="line"><a name="l01139"></a><span class="lineno"> 1139</span>&#160; <span class="keywordtype">double</span> RelTol=ON_SQRT_EPSILON) <span class="keyword">const</span>;</div><div class="line"><a name="l01140"></a><span class="lineno"> 1140</span>&#160;</div><div class="line"><a name="l01141"></a><span class="lineno"> 1141</span>&#160;<span class="keyword">private</span>:</div><div class="line"><a name="l01142"></a><span class="lineno"> 1142</span>&#160;};</div><div class="line"><a name="l01143"></a><span class="lineno"> 1143</span>&#160;</div><div class="line"><a name="l01144"></a><span class="lineno"> 1144</span>&#160;<span class="preprocessor">#if defined(ON_DLL_TEMPLATE)</span></div><div class="line"><a name="l01145"></a><span class="lineno"> 1145</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_Curve*&gt;</a>;</div><div class="line"><a name="l01146"></a><span class="lineno"> 1146</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;const ON_Curve*&gt;</a>;</div><div class="line"><a name="l01147"></a><span class="lineno"> 1147</span>&#160;<span class="preprocessor">#endif</span></div><div class="line"><a name="l01148"></a><span class="lineno"> 1148</span>&#160;</div><div class="line"><a name="l01149"></a><span class="lineno"> 1149</span>&#160;<span class="keyword">class </span>ON_CLASS <a class="code" href="../../d8/d06/class_o_n___curve_array.html">ON_CurveArray</a> : <span class="keyword">public</span> ON_SimpleArray&lt;ON_Curve*&gt;</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;<span class="keyword">public</span>:</div><div class="line"><a name="l01152"></a><span class="lineno"> 1152</span>&#160; <a class="code" href="../../d8/d06/class_o_n___curve_array.html">ON_CurveArray</a>( <span class="keywordtype">int</span> = 0 );</div><div class="line"><a name="l01153"></a><span class="lineno"> 1153</span>&#160; ~<a class="code" href="../../d8/d06/class_o_n___curve_array.html">ON_CurveArray</a>(); <span class="comment">// deletes any non-nullptr curves</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> <a class="code" href="../../d9/d7b/class_o_n___object.html#a16eb9ab6bf0d0a614655cf9cd055871a">Write</a>( <a class="code" href="../../db/d16/class_o_n___binary_archive.html">ON_BinaryArchive</a>&amp; ) <span class="keyword">const</span>;</div><div class="line"><a name="l01156"></a><span class="lineno"> 1156</span>&#160; <span class="keywordtype">bool</span> <a class="code" href="../../d9/d7b/class_o_n___object.html#a09ac9742ead91dd8f9cdd579bcbfed10">Read</a>( <a class="code" href="../../db/d16/class_o_n___binary_archive.html">ON_BinaryArchive</a>&amp; );</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">void</span> Destroy(); <span class="comment">// deletes curves, sets pointers to nullptr, sets count to zero</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> Duplicate( <a class="code" href="../../d8/d06/class_o_n___curve_array.html">ON_CurveArray</a>&amp; ) <span class="keyword">const</span>; <span class="comment">// operator= copies the pointer values</span></div><div class="line"><a name="l01161"></a><span class="lineno"> 1161</span>&#160; <span class="comment">// duplicate copies the curves themselves</span></div><div class="line"><a name="l01162"></a><span class="lineno"> 1162</span>&#160;</div><div class="line"><a name="l01163"></a><span class="lineno"> 1163</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01164"></a><span class="lineno"> 1164</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l01165"></a><span class="lineno"> 1165</span>&#160;<span class="comment"> Get tight bounding box of the bezier.</span></div><div class="line"><a name="l01166"></a><span class="lineno"> 1166</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l01167"></a><span class="lineno"> 1167</span>&#160;<span class="comment"> tight_bbox - [in/out] tight bounding box</span></div><div class="line"><a name="l01168"></a><span class="lineno"><a class="line" href="../../d8/d06/class_o_n___curve_array.html"> 1168</a></span>&#160;<span class="comment"> bGrowBox -[in] (default=false) </span></div><div class="line"><a name="l01169"></a><span class="lineno"> 1169</span>&#160;<span class="comment"> If true and the input tight_bbox is valid, then returned</span></div><div class="line"><a name="l01170"></a><span class="lineno"> 1170</span>&#160;<span class="comment"> tight_bbox is the union of the input tight_bbox and the </span></div><div class="line"><a name="l01171"></a><span class="lineno"> 1171</span>&#160;<span class="comment"> tight bounding box of the bezier curve.</span></div><div class="line"><a name="l01172"></a><span class="lineno"> 1172</span>&#160;<span class="comment"> xform -[in] (default=nullptr)</span></div><div class="line"><a name="l01173"></a><span class="lineno"> 1173</span>&#160;<span class="comment"> If not nullptr, the tight bounding box of the transformed</span></div><div class="line"><a name="l01174"></a><span class="lineno"> 1174</span>&#160;<span class="comment"> bezier is calculated. The bezier curve is not modified.</span></div><div class="line"><a name="l01175"></a><span class="lineno"> 1175</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l01176"></a><span class="lineno"> 1176</span>&#160;<span class="comment"> True if the returned tight_bbox is set to a valid </span></div><div class="line"><a name="l01177"></a><span class="lineno"> 1177</span>&#160;<span class="comment"> bounding box.</span></div><div class="line"><a name="l01178"></a><span class="lineno"> 1178</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01179"></a><span class="lineno"> 1179</span>&#160; <span class="keywordtype">bool</span> <a class="code" href="../../df/de0/class_o_n___geometry.html#ab59968e400d15d016517b7b4f2e32ea4">GetTightBoundingBox</a>( </div><div class="line"><a name="l01180"></a><span class="lineno"> 1180</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="l01181"></a><span class="lineno"> 1181</span>&#160; <span class="keywordtype">bool</span> bGrowBox = <span class="keyword">false</span>,</div><div class="line"><a name="l01182"></a><span class="lineno"> 1182</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="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;</div><div class="line"><a name="l01186"></a><span class="lineno"> 1186</span>&#160;<span class="comment">/*</span></div><div class="line"><a name="l01187"></a><span class="lineno"> 1187</span>&#160;<span class="comment">Description:</span></div><div class="line"><a name="l01188"></a><span class="lineno"> 1188</span>&#160;<span class="comment"> Trim a curve.</span></div><div class="line"><a name="l01189"></a><span class="lineno"> 1189</span>&#160;<span class="comment">Parameters:</span></div><div class="line"><a name="l01190"></a><span class="lineno"> 1190</span>&#160;<span class="comment"> curve - [in] curve to trim (not modified)</span></div><div class="line"><a name="l01191"></a><span class="lineno"> 1191</span>&#160;<span class="comment"> trim_parameters - [in] trimming parameters</span></div><div class="line"><a name="l01192"></a><span class="lineno"> 1192</span>&#160;<span class="comment"> If curve is open, then trim_parameters must be an increasing </span></div><div class="line"><a name="l01193"></a><span class="lineno"> 1193</span>&#160;<span class="comment"> interval.If curve is closed, and trim_parameters ins a </span></div><div class="line"><a name="l01194"></a><span class="lineno"> 1194</span>&#160;<span class="comment"> decreasing interval, then the portion of the curve across the</span></div><div class="line"><a name="l01195"></a><span class="lineno"> 1195</span>&#160;<span class="comment"> start/end is returned.</span></div><div class="line"><a name="l01196"></a><span class="lineno"> 1196</span>&#160;<span class="comment">Returns:</span></div><div class="line"><a name="l01197"></a><span class="lineno"> 1197</span>&#160;<span class="comment"> trimmed curve or nullptr if input is invalid.</span></div><div class="line"><a name="l01198"></a><span class="lineno"> 1198</span>&#160;<span class="comment">*/</span></div><div class="line"><a name="l01199"></a><span class="lineno"> 1199</span>&#160;ON_DECL</div><div class="line"><a name="l01200"></a><span class="lineno"> 1200</span>&#160;ON_Curve* ON_TrimCurve( </div><div class="line"><a name="l01201"></a><span class="lineno"> 1201</span>&#160; <span class="keyword">const</span> ON_Curve&amp; curve,</div><div class="line"><a name="l01202"></a><span class="lineno"> 1202</span>&#160; <a class="code" href="../../dc/dc7/class_o_n___interval.html">ON_Interval</a> trim_parameters</div><div class="line"><a name="l01203"></a><span class="lineno"> 1203</span>&#160; );</div><div class="line"><a name="l01204"></a><span class="lineno"> 1204</span>&#160;</div><div class="line"><a name="l01205"></a><span class="lineno"> 1205</span>&#160;<span class="comment">/*</span></div><div class="line"><a name="l01206"></a><span class="lineno"> 1206</span>&#160;<span class="comment">Description:</span></div><div class="line"><a name="l01207"></a><span class="lineno"> 1207</span>&#160;<span class="comment"> Move ends of curves to a common point. Neither curve can be closed or an ON_CurveProxy.</span></div><div class="line"><a name="l01208"></a><span class="lineno"> 1208</span>&#160;<span class="comment"> If one is an arc or polycurve with arc at end to change, and the other is not, </span></div><div class="line"><a name="l01209"></a><span class="lineno"> 1209</span>&#160;<span class="comment"> then the arc is left unchanged and the other curve is moved to the arc endpoint. </span></div><div class="line"><a name="l01210"></a><span class="lineno"> 1210</span>&#160;<span class="comment"> Otherwise, both are moved to the midpoint of the segment between the ends.</span></div><div class="line"><a name="l01211"></a><span class="lineno"> 1211</span>&#160;<span class="comment">Parameters:</span></div><div class="line"><a name="l01212"></a><span class="lineno"> 1212</span>&#160;<span class="comment"> Crv0 - [in] first curve to modify.</span></div><div class="line"><a name="l01213"></a><span class="lineno"> 1213</span>&#160;<span class="comment"> [out] with one endpoint possibly changed.</span></div><div class="line"><a name="l01214"></a><span class="lineno"> 1214</span>&#160;<span class="comment"> end0 - [in] if 0, change start of Crv0. Otherwise change end.</span></div><div class="line"><a name="l01215"></a><span class="lineno"> 1215</span>&#160;<span class="comment"> Crv1 - [in] second curve to modify.</span></div><div class="line"><a name="l01216"></a><span class="lineno"> 1216</span>&#160;<span class="comment"> [out] with one endpoint possibly changed.</span></div><div class="line"><a name="l01217"></a><span class="lineno"> 1217</span>&#160;<span class="comment"> end1 - [in] if 0, change start of Crv1. Otherwise change end.</span></div><div class="line"><a name="l01218"></a><span class="lineno"> 1218</span>&#160;<span class="comment">Returns:</span></div><div class="line"><a name="l01219"></a><span class="lineno"> 1219</span>&#160;<span class="comment"> true if the endpoints match. Falsse otherwise,</span></div><div class="line"><a name="l01220"></a><span class="lineno"> 1220</span>&#160;<span class="comment">*/</span></div><div class="line"><a name="l01221"></a><span class="lineno"> 1221</span>&#160;ON_DECL</div><div class="line"><a name="l01222"></a><span class="lineno"> 1222</span>&#160;<span class="keywordtype">bool</span> ON_ForceMatchCurveEnds(</div><div class="line"><a name="l01223"></a><span class="lineno"> 1223</span>&#160; ON_Curve&amp; Crv0, </div><div class="line"><a name="l01224"></a><span class="lineno"> 1224</span>&#160; <span class="keywordtype">int</span> end0, </div><div class="line"><a name="l01225"></a><span class="lineno"> 1225</span>&#160; ON_Curve&amp; Crv1, </div><div class="line"><a name="l01226"></a><span class="lineno"> 1226</span>&#160; <span class="keywordtype">int</span> end1</div><div class="line"><a name="l01227"></a><span class="lineno"> 1227</span>&#160; );</div><div class="line"><a name="l01228"></a><span class="lineno"> 1228</span>&#160;</div><div class="line"><a name="l01229"></a><span class="lineno"> 1229</span>&#160;<span class="comment">/*</span></div><div class="line"><a name="l01230"></a><span class="lineno"> 1230</span>&#160;<span class="comment">OBSOLETE. Use int ON_JoinCurves(const ON_SimpleArray&lt;const ON_Curve*&gt;&amp; InCurves,</span></div><div class="line"><a name="l01231"></a><span class="lineno"> 1231</span>&#160;<span class="comment"> ON_SimpleArray&lt;ON_Curve*&gt;&amp; OutCurves,</span></div><div class="line"><a name="l01232"></a><span class="lineno"> 1232</span>&#160;<span class="comment"> double join_tol,</span></div><div class="line"><a name="l01233"></a><span class="lineno"> 1233</span>&#160;<span class="comment"> double kink_tol,</span></div><div class="line"><a name="l01234"></a><span class="lineno"> 1234</span>&#160;<span class="comment"> bool bPreserveDirection = false,</span></div><div class="line"><a name="l01235"></a><span class="lineno"> 1235</span>&#160;<span class="comment"> ON_SimpleArray&lt;int&gt;* key = 0</span></div><div class="line"><a name="l01236"></a><span class="lineno"> 1236</span>&#160;<span class="comment"> );</span></div><div class="line"><a name="l01237"></a><span class="lineno"> 1237</span>&#160;<span class="comment"></span></div><div class="line"><a name="l01238"></a><span class="lineno"> 1238</span>&#160;<span class="comment">Description:</span></div><div class="line"><a name="l01239"></a><span class="lineno"> 1239</span>&#160;<span class="comment"> Join all contiguous curves of an array of ON_Curves.</span></div><div class="line"><a name="l01240"></a><span class="lineno"> 1240</span>&#160;<span class="comment">Parameters:</span></div><div class="line"><a name="l01241"></a><span class="lineno"> 1241</span>&#160;<span class="comment"> InCurves - [in] Array of curves to be joined (not modified)</span></div><div class="line"><a name="l01242"></a><span class="lineno"> 1242</span>&#160;<span class="comment"> OutCurves - [out] Resulting joined curves and copies of curves that were not joined to anything</span></div><div class="line"><a name="l01243"></a><span class="lineno"> 1243</span>&#160;<span class="comment"> are appended.</span></div><div class="line"><a name="l01244"></a><span class="lineno"> 1244</span>&#160;<span class="comment"> join_tol - [in] Distance tolerance used to decide if endpoints are close enough</span></div><div class="line"><a name="l01245"></a><span class="lineno"> 1245</span>&#160;<span class="comment"> bPreserveDirection - [in] If true, curve endpoints will be compared to curve startpoints.</span></div><div class="line"><a name="l01246"></a><span class="lineno"> 1246</span>&#160;<span class="comment"> If false, all start and endpoints will be compared, and copies of input </span></div><div class="line"><a name="l01247"></a><span class="lineno"> 1247</span>&#160;<span class="comment"> curves may be reversed in output.</span></div><div class="line"><a name="l01248"></a><span class="lineno"> 1248</span>&#160;<span class="comment"> key - [out] if key is not null, InCurves[i] was joined into OutCurves[key[i]].</span></div><div class="line"><a name="l01249"></a><span class="lineno"> 1249</span>&#160;<span class="comment">Returns:</span></div><div class="line"><a name="l01250"></a><span class="lineno"> 1250</span>&#160;<span class="comment"> Number of curves added to Outcurves</span></div><div class="line"><a name="l01251"></a><span class="lineno"> 1251</span>&#160;<span class="comment">Remarks:</span></div><div class="line"><a name="l01252"></a><span class="lineno"> 1252</span>&#160;<span class="comment"> Closed curves are copied to OutCurves. </span></div><div class="line"><a name="l01253"></a><span class="lineno"> 1253</span>&#160;<span class="comment"> Curves that cannot be joined to others are copied to OutCurves. When curves are joined, the results</span></div><div class="line"><a name="l01254"></a><span class="lineno"> 1254</span>&#160;<span class="comment"> are ON_PolyCurves. All members of InCurves must have same dimension, at most 3.</span></div><div class="line"><a name="l01255"></a><span class="lineno"> 1255</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01256"></a><span class="lineno"> 1256</span>&#160;ON_DECL</div><div class="line"><a name="l01257"></a><span class="lineno"> 1257</span>&#160;<span class="keywordtype">int</span> ON_JoinCurves(<span class="keyword">const</span> ON_SimpleArray&lt;const ON_Curve*&gt;&amp; InCurves,</div><div class="line"><a name="l01258"></a><span class="lineno"> 1258</span>&#160; ON_SimpleArray&lt;ON_Curve*&gt;&amp; OutCurves,</div><div class="line"><a name="l01259"></a><span class="lineno"> 1259</span>&#160; <span class="keywordtype">double</span> join_tol,</div><div class="line"><a name="l01260"></a><span class="lineno"> 1260</span>&#160; <span class="keywordtype">bool</span> bPreserveDirection = <span class="keyword">false</span>,</div><div class="line"><a name="l01261"></a><span class="lineno"> 1261</span>&#160; <a class="code" href="../../dc/dfe/class_o_n___simple_array.html">ON_SimpleArray&lt;int&gt;</a>* key = 0</div><div class="line"><a name="l01262"></a><span class="lineno"> 1262</span>&#160; );</div><div class="line"><a name="l01263"></a><span class="lineno"> 1263</span>&#160;</div><div class="line"><a name="l01264"></a><span class="lineno"> 1264</span>&#160;<span class="comment">/*</span></div><div class="line"><a name="l01265"></a><span class="lineno"> 1265</span>&#160;<span class="comment">Description:</span></div><div class="line"><a name="l01266"></a><span class="lineno"> 1266</span>&#160;<span class="comment"> Join all contiguous curves of an array of ON_Curves.</span></div><div class="line"><a name="l01267"></a><span class="lineno"> 1267</span>&#160;<span class="comment">Parameters:</span></div><div class="line"><a name="l01268"></a><span class="lineno"> 1268</span>&#160;<span class="comment"> InCurves - [in] Array of curves to be joined (not modified)</span></div><div class="line"><a name="l01269"></a><span class="lineno"> 1269</span>&#160;<span class="comment"> OutCurves - [out] Resulting joined curves and copies of curves that were not joined to anything</span></div><div class="line"><a name="l01270"></a><span class="lineno"> 1270</span>&#160;<span class="comment"> are appended.</span></div><div class="line"><a name="l01271"></a><span class="lineno"> 1271</span>&#160;<span class="comment"> join_tol - [in] Distance tolerance used to decide if endpoints are close enough</span></div><div class="line"><a name="l01272"></a><span class="lineno"> 1272</span>&#160;<span class="comment"> kink_tol - [in] Angle in radians. If &gt; 0.0, then curves within join_tol will only be joined if the angle between them</span></div><div class="line"><a name="l01273"></a><span class="lineno"> 1273</span>&#160;<span class="comment"> is less than kink_tol. If &lt;= 0, then the angle will be ignored and only join_tol will be used.</span></div><div class="line"><a name="l01274"></a><span class="lineno"> 1274</span>&#160;<span class="comment"> bUseTanAngle - [in] If true, choose the best match using angle between tangents. </span></div><div class="line"><a name="l01275"></a><span class="lineno"> 1275</span>&#160;<span class="comment"> If false, best match is the closest. This is used whether or not kink_tol is positive.</span></div><div class="line"><a name="l01276"></a><span class="lineno"> 1276</span>&#160;<span class="comment"> bPreserveDirection - [in] If true, curve endpoints will be compared to curve startpoints.</span></div><div class="line"><a name="l01277"></a><span class="lineno"> 1277</span>&#160;<span class="comment"> If false, all start and endpoints will be compared, and copies of input </span></div><div class="line"><a name="l01278"></a><span class="lineno"> 1278</span>&#160;<span class="comment"> curves may be reversed in output.</span></div><div class="line"><a name="l01279"></a><span class="lineno"> 1279</span>&#160;<span class="comment"> key - [out] if key is not null, InCurves[i] was joined into OutCurves[key[i]].</span></div><div class="line"><a name="l01280"></a><span class="lineno"> 1280</span>&#160;<span class="comment">Returns:</span></div><div class="line"><a name="l01281"></a><span class="lineno"> 1281</span>&#160;<span class="comment"> Number of curves added to Outcurves</span></div><div class="line"><a name="l01282"></a><span class="lineno"> 1282</span>&#160;<span class="comment">Remarks:</span></div><div class="line"><a name="l01283"></a><span class="lineno"> 1283</span>&#160;<span class="comment"> Closed curves are copied to OutCurves. </span></div><div class="line"><a name="l01284"></a><span class="lineno"> 1284</span>&#160;<span class="comment"> Curves that cannot be joined to others are copied to OutCurves. When curves are joined, the results</span></div><div class="line"><a name="l01285"></a><span class="lineno"> 1285</span>&#160;<span class="comment"> are ON_PolyCurves. All members of InCurves must have same dimension, at most 3.</span></div><div class="line"><a name="l01286"></a><span class="lineno"> 1286</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01287"></a><span class="lineno"> 1287</span>&#160;ON_DECL</div><div class="line"><a name="l01288"></a><span class="lineno"> 1288</span>&#160;<span class="keywordtype">int</span> ON_JoinCurves(<span class="keyword">const</span> ON_SimpleArray&lt;const ON_Curve*&gt;&amp; InCurves,</div><div class="line"><a name="l01289"></a><span class="lineno"> 1289</span>&#160; ON_SimpleArray&lt;ON_Curve*&gt;&amp; OutCurves,</div><div class="line"><a name="l01290"></a><span class="lineno"> 1290</span>&#160; <span class="keywordtype">double</span> join_tol,</div><div class="line"><a name="l01291"></a><span class="lineno"> 1291</span>&#160; <span class="keywordtype">double</span> kink_tol,</div><div class="line"><a name="l01292"></a><span class="lineno"> 1292</span>&#160; <span class="keywordtype">bool</span> bUseTanAngle,</div><div class="line"><a name="l01293"></a><span class="lineno"> 1293</span>&#160; <span class="keywordtype">bool</span> bPreserveDirection = <span class="keyword">false</span>,</div><div class="line"><a name="l01294"></a><span class="lineno"> 1294</span>&#160; <a class="code" href="../../dc/dfe/class_o_n___simple_array.html">ON_SimpleArray&lt;int&gt;</a>* key = 0</div><div class="line"><a name="l01295"></a><span class="lineno"> 1295</span>&#160; );</div><div class="line"><a name="l01296"></a><span class="lineno"> 1296</span>&#160;</div><div class="line"><a name="l01297"></a><span class="lineno"> 1297</span>&#160;</div><div class="line"><a name="l01298"></a><span class="lineno"> 1298</span>&#160;<span class="comment">/*</span></div><div class="line"><a name="l01299"></a><span class="lineno"> 1299</span>&#160;<span class="comment">Description:</span></div><div class="line"><a name="l01300"></a><span class="lineno"> 1300</span>&#160;<span class="comment"> Sort a list of lines so they are geometrically continuous.</span></div><div class="line"><a name="l01301"></a><span class="lineno"> 1301</span>&#160;<span class="comment">Parameters:</span></div><div class="line"><a name="l01302"></a><span class="lineno"> 1302</span>&#160;<span class="comment"> line_count - [in] number of lines</span></div><div class="line"><a name="l01303"></a><span class="lineno"> 1303</span>&#160;<span class="comment"> line_list - [in] array of lines</span></div><div class="line"><a name="l01304"></a><span class="lineno"> 1304</span>&#160;<span class="comment"> index - [out] The input index[] is an array of line_count unused integers.</span></div><div class="line"><a name="l01305"></a><span class="lineno"> 1305</span>&#160;<span class="comment"> The returned index[] is a permutation of {0,1,...,line_count-1}</span></div><div class="line"><a name="l01306"></a><span class="lineno"> 1306</span>&#160;<span class="comment"> so that the list of lines is in end-to-end order.</span></div><div class="line"><a name="l01307"></a><span class="lineno"> 1307</span>&#160;<span class="comment"> bReverse - [out] The input bReverse[] is an array of line_count unused bools.</span></div><div class="line"><a name="l01308"></a><span class="lineno"> 1308</span>&#160;<span class="comment"> If the returned value of bReverse[j] is true, then</span></div><div class="line"><a name="l01309"></a><span class="lineno"> 1309</span>&#160;<span class="comment"> line_list[index[j]] needs to be reversed.</span></div><div class="line"><a name="l01310"></a><span class="lineno"> 1310</span>&#160;<span class="comment">Returns:</span></div><div class="line"><a name="l01311"></a><span class="lineno"> 1311</span>&#160;<span class="comment"> True if successful, false if not.</span></div><div class="line"><a name="l01312"></a><span class="lineno"> 1312</span>&#160;<span class="comment">*/</span></div><div class="line"><a name="l01313"></a><span class="lineno"> 1313</span>&#160;ON_DECL</div><div class="line"><a name="l01314"></a><span class="lineno"> 1314</span>&#160;<span class="keywordtype">bool</span> ON_SortLines( </div><div class="line"><a name="l01315"></a><span class="lineno"> 1315</span>&#160; <span class="keywordtype">int</span> line_count, </div><div class="line"><a name="l01316"></a><span class="lineno"> 1316</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d4/d6f/class_o_n___line.html">ON_Line</a>* line_list, </div><div class="line"><a name="l01317"></a><span class="lineno"> 1317</span>&#160; <span class="keywordtype">int</span>* index, </div><div class="line"><a name="l01318"></a><span class="lineno"> 1318</span>&#160; <span class="keywordtype">bool</span>* bReverse </div><div class="line"><a name="l01319"></a><span class="lineno"> 1319</span>&#160; );</div><div class="line"><a name="l01320"></a><span class="lineno"> 1320</span>&#160;</div><div class="line"><a name="l01321"></a><span class="lineno"> 1321</span>&#160;<span class="comment">/*</span></div><div class="line"><a name="l01322"></a><span class="lineno"> 1322</span>&#160;<span class="comment">Description:</span></div><div class="line"><a name="l01323"></a><span class="lineno"> 1323</span>&#160;<span class="comment"> Sort a list of lines so they are geometrically continuous.</span></div><div class="line"><a name="l01324"></a><span class="lineno"> 1324</span>&#160;<span class="comment">Parameters:</span></div><div class="line"><a name="l01325"></a><span class="lineno"> 1325</span>&#160;<span class="comment"> line_list - [in] array of lines</span></div><div class="line"><a name="l01326"></a><span class="lineno"> 1326</span>&#160;<span class="comment"> index - [out] The input index[] is an array of line_count unused integers.</span></div><div class="line"><a name="l01327"></a><span class="lineno"> 1327</span>&#160;<span class="comment"> The returned index[] is a permutation of {0,1,...,line_count-1}</span></div><div class="line"><a name="l01328"></a><span class="lineno"> 1328</span>&#160;<span class="comment"> so that the list of lines is in end-to-end order.</span></div><div class="line"><a name="l01329"></a><span class="lineno"> 1329</span>&#160;<span class="comment"> bReverse - [out] The input bReverse[] is an array of line_count unused bools.</span></div><div class="line"><a name="l01330"></a><span class="lineno"> 1330</span>&#160;<span class="comment"> If the returned value of bReverse[j] is true, then</span></div><div class="line"><a name="l01331"></a><span class="lineno"> 1331</span>&#160;<span class="comment"> line_list[index[j]] needs to be reversed.</span></div><div class="line"><a name="l01332"></a><span class="lineno"> 1332</span>&#160;<span class="comment">Returns:</span></div><div class="line"><a name="l01333"></a><span class="lineno"> 1333</span>&#160;<span class="comment"> True if successful, false if not.</span></div><div class="line"><a name="l01334"></a><span class="lineno"> 1334</span>&#160;<span class="comment">*/</span></div><div class="line"><a name="l01335"></a><span class="lineno"> 1335</span>&#160;ON_DECL</div><div class="line"><a name="l01336"></a><span class="lineno"> 1336</span>&#160;<span class="keywordtype">bool</span> ON_SortLines( </div><div class="line"><a name="l01337"></a><span class="lineno"> 1337</span>&#160; <span class="keyword">const</span> <a class="code" href="../../dc/dfe/class_o_n___simple_array.html">ON_SimpleArray&lt;ON_Line&gt;</a>&amp; line_list,</div><div class="line"><a name="l01338"></a><span class="lineno"> 1338</span>&#160; <span class="keywordtype">int</span>* index, </div><div class="line"><a name="l01339"></a><span class="lineno"> 1339</span>&#160; <span class="keywordtype">bool</span>* bReverse </div><div class="line"><a name="l01340"></a><span class="lineno"> 1340</span>&#160; );</div><div class="line"><a name="l01341"></a><span class="lineno"> 1341</span>&#160;</div><div class="line"><a name="l01342"></a><span class="lineno"> 1342</span>&#160;<span class="comment">/*</span></div><div class="line"><a name="l01343"></a><span class="lineno"> 1343</span>&#160;<span class="comment">Description:</span></div><div class="line"><a name="l01344"></a><span class="lineno"> 1344</span>&#160;<span class="comment"> Sort a list of open curves so end of a curve matches the start of the next curve.</span></div><div class="line"><a name="l01345"></a><span class="lineno"> 1345</span>&#160;<span class="comment">Parameters:</span></div><div class="line"><a name="l01346"></a><span class="lineno"> 1346</span>&#160;<span class="comment"> curve_count - [in] number of curves</span></div><div class="line"><a name="l01347"></a><span class="lineno"> 1347</span>&#160;<span class="comment"> curve_list - [in] array of curve pointers</span></div><div class="line"><a name="l01348"></a><span class="lineno"> 1348</span>&#160;<span class="comment"> index - [out] The input index[] is an array of curve_count unused integers.</span></div><div class="line"><a name="l01349"></a><span class="lineno"> 1349</span>&#160;<span class="comment"> The returned index[] is a permutation of {0,1,...,curve_count-1}</span></div><div class="line"><a name="l01350"></a><span class="lineno"> 1350</span>&#160;<span class="comment"> so that the list of curves is in end-to-end order.</span></div><div class="line"><a name="l01351"></a><span class="lineno"> 1351</span>&#160;<span class="comment"> bReverse - [out] The input bReverse[] is an array of curve_count unused bools.</span></div><div class="line"><a name="l01352"></a><span class="lineno"> 1352</span>&#160;<span class="comment"> If the returned value of bReverse[j] is true, then</span></div><div class="line"><a name="l01353"></a><span class="lineno"> 1353</span>&#160;<span class="comment"> curve_list[index[j]] needs to be reversed.</span></div><div class="line"><a name="l01354"></a><span class="lineno"> 1354</span>&#160;<span class="comment">Returns:</span></div><div class="line"><a name="l01355"></a><span class="lineno"> 1355</span>&#160;<span class="comment"> True if successful, false if not.</span></div><div class="line"><a name="l01356"></a><span class="lineno"> 1356</span>&#160;<span class="comment">*/</span></div><div class="line"><a name="l01357"></a><span class="lineno"> 1357</span>&#160;ON_DECL</div><div class="line"><a name="l01358"></a><span class="lineno"> 1358</span>&#160;<span class="keywordtype">bool</span> ON_SortCurves(</div><div class="line"><a name="l01359"></a><span class="lineno"> 1359</span>&#160; <span class="keywordtype">int</span> curve_count,</div><div class="line"><a name="l01360"></a><span class="lineno"> 1360</span>&#160; <span class="keyword">const</span> ON_Curve* <span class="keyword">const</span>* curve_list, </div><div class="line"><a name="l01361"></a><span class="lineno"> 1361</span>&#160; <span class="keywordtype">int</span>* index,</div><div class="line"><a name="l01362"></a><span class="lineno"> 1362</span>&#160; <span class="keywordtype">bool</span>* bReverse</div><div class="line"><a name="l01363"></a><span class="lineno"> 1363</span>&#160; );</div><div class="line"><a name="l01364"></a><span class="lineno"> 1364</span>&#160;</div><div class="line"><a name="l01365"></a><span class="lineno"> 1365</span>&#160;<span class="comment">/*</span></div><div class="line"><a name="l01366"></a><span class="lineno"> 1366</span>&#160;<span class="comment">Description:</span></div><div class="line"><a name="l01367"></a><span class="lineno"> 1367</span>&#160;<span class="comment"> Sort a list of curves so end of a curve matches the start of the next curve.</span></div><div class="line"><a name="l01368"></a><span class="lineno"> 1368</span>&#160;<span class="comment">Parameters:</span></div><div class="line"><a name="l01369"></a><span class="lineno"> 1369</span>&#160;<span class="comment"> curve - [in] array of curves to sort. The curves themselves are not modified.</span></div><div class="line"><a name="l01370"></a><span class="lineno"> 1370</span>&#160;<span class="comment"> index - [out] The input index[] is an array of curve_count unused integers.</span></div><div class="line"><a name="l01371"></a><span class="lineno"> 1371</span>&#160;<span class="comment"> The returned index[] is a permutation of {0,1,...,curve_count-1}</span></div><div class="line"><a name="l01372"></a><span class="lineno"> 1372</span>&#160;<span class="comment"> so that the list of curves is in end-to-end order.</span></div><div class="line"><a name="l01373"></a><span class="lineno"> 1373</span>&#160;<span class="comment"> bReverse - [out] The input bReverse[] is an array of curve_count unused bools.</span></div><div class="line"><a name="l01374"></a><span class="lineno"> 1374</span>&#160;<span class="comment"> If the returned value of bReverse[j] is true, then</span></div><div class="line"><a name="l01375"></a><span class="lineno"> 1375</span>&#160;<span class="comment"> curve[index[j]] needs to be reversed.</span></div><div class="line"><a name="l01376"></a><span class="lineno"> 1376</span>&#160;<span class="comment">Returns:</span></div><div class="line"><a name="l01377"></a><span class="lineno"> 1377</span>&#160;<span class="comment"> True if successful, false if not.</span></div><div class="line"><a name="l01378"></a><span class="lineno"> 1378</span>&#160;<span class="comment">*/</span></div><div class="line"><a name="l01379"></a><span class="lineno"> 1379</span>&#160;ON_DECL</div><div class="line"><a name="l01380"></a><span class="lineno"> 1380</span>&#160;<span class="keywordtype">bool</span> ON_SortCurves( </div><div class="line"><a name="l01381"></a><span class="lineno"> 1381</span>&#160; <span class="keyword">const</span> ON_SimpleArray&lt;const ON_Curve*&gt;&amp; curves, </div><div class="line"><a name="l01382"></a><span class="lineno"> 1382</span>&#160; <a class="code" href="../../dc/dfe/class_o_n___simple_array.html">ON_SimpleArray&lt;int&gt;</a>&amp; index, </div><div class="line"><a name="l01383"></a><span class="lineno"> 1383</span>&#160; <a class="code" href="../../dc/dfe/class_o_n___simple_array.html">ON_SimpleArray&lt;bool&gt;</a>&amp; bReverse </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"> 1387</span>&#160;<span class="comment">Description:</span></div><div class="line"><a name="l01388"></a><span class="lineno"> 1388</span>&#160;<span class="comment"> Sort a list of curves so end of a curve matches the start of the next curve.</span></div><div class="line"><a name="l01389"></a><span class="lineno"> 1389</span>&#160;<span class="comment">Parameters:</span></div><div class="line"><a name="l01390"></a><span class="lineno"> 1390</span>&#160;<span class="comment"> curve_count - [in] number of curves</span></div><div class="line"><a name="l01391"></a><span class="lineno"> 1391</span>&#160;<span class="comment"> curve - [in] array of curve pointers</span></div><div class="line"><a name="l01392"></a><span class="lineno"> 1392</span>&#160;<span class="comment"> index - [out] The input index[] is an array of curve_count unused integers.</span></div><div class="line"><a name="l01393"></a><span class="lineno"> 1393</span>&#160;<span class="comment"> The returned index[] is a permutation of {0,1,...,curve_count-1}</span></div><div class="line"><a name="l01394"></a><span class="lineno"> 1394</span>&#160;<span class="comment"> so that the list of curves is in end-to-end order.</span></div><div class="line"><a name="l01395"></a><span class="lineno"> 1395</span>&#160;<span class="comment"> bReverse - [out] The input bReverse[] is an array of curve_count unused bools.</span></div><div class="line"><a name="l01396"></a><span class="lineno"> 1396</span>&#160;<span class="comment"> If the returned value of bReverse[j] is true, then</span></div><div class="line"><a name="l01397"></a><span class="lineno"> 1397</span>&#160;<span class="comment"> curve[index[j]] needs to be reversed.</span></div><div class="line"><a name="l01398"></a><span class="lineno"> 1398</span>&#160;<span class="comment">Returns:</span></div><div class="line"><a name="l01399"></a><span class="lineno"> 1399</span>&#160;<span class="comment"> True if successful, false if not.</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;ON_DECL</div><div class="line"><a name="l01402"></a><span class="lineno"> 1402</span>&#160;<span class="keywordtype">bool</span> ON_SortCurves( </div><div class="line"><a name="l01403"></a><span class="lineno"> 1403</span>&#160; <span class="keyword">const</span> ON_SimpleArray&lt;ON_Curve*&gt;&amp; curves, </div><div class="line"><a name="l01404"></a><span class="lineno"> 1404</span>&#160; <a class="code" href="../../dc/dfe/class_o_n___simple_array.html">ON_SimpleArray&lt;int&gt;</a>&amp; index, </div><div class="line"><a name="l01405"></a><span class="lineno"> 1405</span>&#160; <a class="code" href="../../dc/dfe/class_o_n___simple_array.html">ON_SimpleArray&lt;bool&gt;</a>&amp; bReverse </div><div class="line"><a name="l01406"></a><span class="lineno"> 1406</span>&#160; );</div><div class="line"><a name="l01407"></a><span class="lineno"> 1407</span>&#160;</div><div class="line"><a name="l01408"></a><span class="lineno"> 1408</span>&#160;<span class="comment">/*</span></div><div class="line"><a name="l01409"></a><span class="lineno"> 1409</span>&#160;<span class="comment">Description:</span></div><div class="line"><a name="l01410"></a><span class="lineno"> 1410</span>&#160;<span class="comment"> Determine the orientaion (counterclockwise or clockwise) of a closed</span></div><div class="line"><a name="l01411"></a><span class="lineno"> 1411</span>&#160;<span class="comment"> planar curve.</span></div><div class="line"><a name="l01412"></a><span class="lineno"> 1412</span>&#160;<span class="comment">Paramters:</span></div><div class="line"><a name="l01413"></a><span class="lineno"> 1413</span>&#160;<span class="comment"> curve - [in] simple (no self intersections) closed planar curve</span></div><div class="line"><a name="l01414"></a><span class="lineno"> 1414</span>&#160;<span class="comment"> xform - [in] Transformation to map the curve to the xy plane. If the</span></div><div class="line"><a name="l01415"></a><span class="lineno"> 1415</span>&#160;<span class="comment"> curve is parallel to the xy plane, you may pass nullptr.</span></div><div class="line"><a name="l01416"></a><span class="lineno"> 1416</span>&#160;<span class="comment">Returns:</span></div><div class="line"><a name="l01417"></a><span class="lineno"> 1417</span>&#160;<span class="comment"> +1: The curve&#39;s orientation is counter clockwise in the xy plane.</span></div><div class="line"><a name="l01418"></a><span class="lineno"> 1418</span>&#160;<span class="comment"> -1: The curve&#39;s orientation is clockwise in the xy plane.</span></div><div class="line"><a name="l01419"></a><span class="lineno"> 1419</span>&#160;<span class="comment"> 0: Unable to compute the curve&#39;s orientation.</span></div><div class="line"><a name="l01420"></a><span class="lineno"> 1420</span>&#160;<span class="comment">*/</span></div><div class="line"><a name="l01421"></a><span class="lineno"> 1421</span>&#160;ON_DECL</div><div class="line"><a name="l01422"></a><span class="lineno"> 1422</span>&#160;<span class="keywordtype">int</span> ON_ClosedCurveOrientation( <span class="keyword">const</span> ON_Curve&amp; curve, <span class="keyword">const</span> <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>* xform );</div><div class="line"><a name="l01423"></a><span class="lineno"> 1423</span>&#160;</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;<span class="comment">/*</span></div><div class="line"><a name="l01426"></a><span class="lineno"> 1426</span>&#160;<span class="comment">Description:</span></div><div class="line"><a name="l01427"></a><span class="lineno"> 1427</span>&#160;<span class="comment"> Get a crude aproximation of the signed area of the region in the </span></div><div class="line"><a name="l01428"></a><span class="lineno"> 1428</span>&#160;<span class="comment"> x-y plane traced out by the curve. This is useful for calculating</span></div><div class="line"><a name="l01429"></a><span class="lineno"> 1429</span>&#160;<span class="comment"> the orientation of projections of loops to planes when you have</span></div><div class="line"><a name="l01430"></a><span class="lineno"> 1430</span>&#160;<span class="comment"> more than one curve.</span></div><div class="line"><a name="l01431"></a><span class="lineno"> 1431</span>&#160;<span class="comment">Paramters:</span></div><div class="line"><a name="l01432"></a><span class="lineno"> 1432</span>&#160;<span class="comment"> curve - [in] </span></div><div class="line"><a name="l01433"></a><span class="lineno"> 1433</span>&#160;<span class="comment"> domain - [in]</span></div><div class="line"><a name="l01434"></a><span class="lineno"> 1434</span>&#160;<span class="comment"> optional sub-domain. (null if entire curve should be used).</span></div><div class="line"><a name="l01435"></a><span class="lineno"> 1435</span>&#160;<span class="comment"> xform - [in] Transformation to map the curve to the xy plane. If the</span></div><div class="line"><a name="l01436"></a><span class="lineno"> 1436</span>&#160;<span class="comment"> curve is parallel to the xy plane, you may pass nullptr.</span></div><div class="line"><a name="l01437"></a><span class="lineno"> 1437</span>&#160;<span class="comment"> bReverseCurve - [in]</span></div><div class="line"><a name="l01438"></a><span class="lineno"> 1438</span>&#160;<span class="comment">Returns:</span></div><div class="line"><a name="l01439"></a><span class="lineno"> 1439</span>&#160;<span class="comment"> 1/2 the sum of (p[i].x-p[i+1].x)*(p[i].y+p[i+1].y), where p[i] </span></div><div class="line"><a name="l01440"></a><span class="lineno"> 1440</span>&#160;<span class="comment"> is a series of sampled points on the curve.</span></div><div class="line"><a name="l01441"></a><span class="lineno"> 1441</span>&#160;<span class="comment">*/</span></div><div class="line"><a name="l01442"></a><span class="lineno"> 1442</span>&#160;ON_DECL</div><div class="line"><a name="l01443"></a><span class="lineno"> 1443</span>&#160;<span class="keywordtype">double</span> ON_CurveOrientationArea( </div><div class="line"><a name="l01444"></a><span class="lineno"> 1444</span>&#160; <span class="keyword">const</span> ON_Curve* curve,</div><div class="line"><a name="l01445"></a><span class="lineno"> 1445</span>&#160; <span class="keyword">const</span> <a class="code" href="../../dc/dc7/class_o_n___interval.html">ON_Interval</a>* domain,</div><div class="line"><a name="l01446"></a><span class="lineno"> 1446</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>* xform,</div><div class="line"><a name="l01447"></a><span class="lineno"> 1447</span>&#160; <span class="keywordtype">bool</span> bReverseCurve</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="preprocessor">#endif</span></div><div class="ttc" id="class_o_n___geometry_html_add710872e89bc29e1ed1321b3e70b1b1"><div class="ttname"><a href="../../df/de0/class_o_n___geometry.html#add710872e89bc29e1ed1321b3e70b1b1">ON_Geometry::Transform</a></div><div class="ttdeci">virtual bool Transform(const ON_Xform &amp;xform)</div><div class="ttdoc">Transforms the object. </div></div>
<div class="ttc" id="class_o_n___mesh_curve_parameters_html_a5420cf4aec2d43f3a31a3813ec6f3fae"><div class="ttname"><a href="../../d5/d39/class_o_n___mesh_curve_parameters.html#a5420cf4aec2d43f3a31a3813ec6f3fae">ON_MeshCurveParameters::m_main_seg_count</a></div><div class="ttdeci">int m_main_seg_count</div><div class="ttdef"><b>Definition:</b> opennurbs_curve.h:42</div></div>
<div class="ttc" id="class_o_n___curve_array_html"><div class="ttname"><a href="../../d8/d06/class_o_n___curve_array.html">ON_CurveArray</a></div><div class="ttdef"><b>Definition:</b> opennurbs_curve.h:1168</div></div>
<div class="ttc" id="class_o_n___arc_html"><div class="ttname"><a href="../../d3/ddf/class_o_n___arc.html">ON_Arc</a></div><div class="ttdoc">An ON_Arc is a subcurve of 3d circle. </div><div class="ttdef"><b>Definition:</b> opennurbs_arc.h:33</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&lt; ON_3dPoint &gt;</a></div></div>
<div class="ttc" id="class_o_n___object_html_af8435c33ab53af41c22dac75e8917569"><div class="ttname"><a href="../../d9/d7b/class_o_n___object.html#af8435c33ab53af41c22dac75e8917569">ON_Object::DestroyRuntimeCache</a></div><div class="ttdeci">virtual void DestroyRuntimeCache(bool bDelete=true)</div><div class="ttdoc">Expert user function. If you are using openNURBS in its default configuration to read and write 3dm a...</div></div>
<div class="ttc" id="class_o_n___geometry_html_adcb646d6ca698c092b73f2f05373bfc2"><div class="ttname"><a href="../../df/de0/class_o_n___geometry.html#adcb646d6ca698c092b73f2f05373bfc2">ON_Geometry::EvaluatePoint</a></div><div class="ttdeci">virtual bool EvaluatePoint(const class ON_ObjRef &amp;objref, ON_3dPoint &amp;P) const</div><div class="ttdoc">Evaluate the location of a point from the object reference. </div></div>
<div class="ttc" id="class_o_n___mesh_curve_parameters_html_ad4fc1da4188d886d8e5bc764ce123987"><div class="ttname"><a href="../../d5/d39/class_o_n___mesh_curve_parameters.html#ad4fc1da4188d886d8e5bc764ce123987">ON_MeshCurveParameters::m_max_edge_length</a></div><div class="ttdeci">double m_max_edge_length</div><div class="ttdef"><b>Definition:</b> opennurbs_curve.h:74</div></div>
<div class="ttc" id="class_o_n___curve_html"><div class="ttname"><a href="../../d4/d5a/class_o_n___curve.html">ON_Curve</a></div><div class="ttdoc">ON_Curve is a pure virtual class for curve objects </div><div class="ttdef"><b>Definition:</b> opennurbs_curve.h:93</div></div>
<div class="ttc" id="class_o_n___mesh_curve_parameters_html_a56ef02a7022f337b2362000cf6fdfd19"><div class="ttname"><a href="../../d5/d39/class_o_n___mesh_curve_parameters.html#a56ef02a7022f337b2362000cf6fdfd19">ON_MeshCurveParameters::m_reserved2</a></div><div class="ttdeci">int m_reserved2</div><div class="ttdef"><b>Definition:</b> opennurbs_curve.h:46</div></div>
<div class="ttc" id="class_o_n___mesh_curve_parameters_html_a878ef434706f9c224ae32252fbc71eff"><div class="ttname"><a href="../../d5/d39/class_o_n___mesh_curve_parameters.html#a878ef434706f9c224ae32252fbc71eff">ON_MeshCurveParameters::m_sub_seg_count</a></div><div class="ttdeci">int m_sub_seg_count</div><div class="ttdef"><b>Definition:</b> opennurbs_curve.h:43</div></div>
<div class="ttc" id="class_o_n___mesh_curve_parameters_html_a7e188b522a8e0d138e419720eeeb18ab"><div class="ttname"><a href="../../d5/d39/class_o_n___mesh_curve_parameters.html#a7e188b522a8e0d138e419720eeeb18ab">ON_MeshCurveParameters::m_max_chr</a></div><div class="ttdeci">double m_max_chr</div><div class="ttdef"><b>Definition:</b> opennurbs_curve.h:54</div></div>
<div class="ttc" id="class_o_n___object_html_afa19aee4a411a8fda53aff00bd02d86e"><div class="ttname"><a href="../../d9/d7b/class_o_n___object.html#afa19aee4a411a8fda53aff00bd02d86e">ON_Object::ObjectType</a></div><div class="ttdeci">virtual ON::object_type ObjectType() const</div><div class="ttdoc">Useful for switch statements that need to differentiate between basic object types like points...</div></div>
<div class="ttc" id="class_o_n___geometry_html"><div class="ttname"><a href="../../df/de0/class_o_n___geometry.html">ON_Geometry</a></div><div class="ttdoc">Base class for all geometry classes that must provide runtime class id. Provides interface for common...</div><div class="ttdef"><b>Definition:</b> opennurbs_geometry.h:37</div></div>
<div class="ttc" id="class_o_n___geometry_html_ab59968e400d15d016517b7b4f2e32ea4"><div class="ttname"><a href="../../df/de0/class_o_n___geometry.html#ab59968e400d15d016517b7b4f2e32ea4">ON_Geometry::GetTightBoundingBox</a></div><div class="ttdeci">virtual bool GetTightBoundingBox(class ON_BoundingBox &amp;tight_bbox, bool bGrowBox=false, const class ON_Xform *xform=nullptr) const</div><div class="ttdoc">Get tight bounding box. </div></div>
<div class="ttc" id="class_o_n___object_html_a0299df21bfed90d7b5bfb24cdcf5e6c1"><div class="ttname"><a href="../../d9/d7b/class_o_n___object.html#a0299df21bfed90d7b5bfb24cdcf5e6c1">ON_Object::SizeOf</a></div><div class="ttdeci">virtual unsigned int SizeOf() const</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___mesh_curve_parameters_html_a60e6b6ed4c652f8f6ebff8f7fd86a4de"><div class="ttname"><a href="../../d5/d39/class_o_n___mesh_curve_parameters.html#a60e6b6ed4c652f8f6ebff8f7fd86a4de">ON_MeshCurveParameters::m_max_aspect</a></div><div class="ttdeci">double m_max_aspect</div><div class="ttdef"><b>Definition:</b> opennurbs_curve.h:61</div></div>
<div class="ttc" id="class_o_n___mesh_curve_parameters_html_abc8217794b7c2347fd82cb71d6285b18"><div class="ttname"><a href="../../d5/d39/class_o_n___mesh_curve_parameters.html#abc8217794b7c2347fd82cb71d6285b18">ON_MeshCurveParameters::m_reserved4</a></div><div class="ttdeci">double m_reserved4</div><div class="ttdef"><b>Definition:</b> opennurbs_curve.h:77</div></div>
<div class="ttc" id="class_o_n___mesh_curve_parameters_html_a1b69fcde95e65dfc3c64eec07b41af2c"><div class="ttname"><a href="../../d5/d39/class_o_n___mesh_curve_parameters.html#a1b69fcde95e65dfc3c64eec07b41af2c">ON_MeshCurveParameters::m_reserved3</a></div><div class="ttdeci">double m_reserved3</div><div class="ttdef"><b>Definition:</b> opennurbs_curve.h:76</div></div>
<div class="ttc" id="class_o_n___mesh_curve_parameters_html"><div class="ttname"><a href="../../d5/d39/class_o_n___mesh_curve_parameters.html">ON_MeshCurveParameters</a></div><div class="ttdef"><b>Definition:</b> opennurbs_curve.h:29</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___mesh_curve_parameters_html_a4632563221b8e2386048039d0c4fb2f1"><div class="ttname"><a href="../../d5/d39/class_o_n___mesh_curve_parameters.html#a4632563221b8e2386048039d0c4fb2f1">ON_MeshCurveParameters::m_tolerance</a></div><div class="ttdeci">double m_tolerance</div><div class="ttdef"><b>Definition:</b> opennurbs_curve.h:66</div></div>
<div class="ttc" id="class_o_n___mesh_curve_parameters_html_a0b10dc8b1f960de99315aa742947f512"><div class="ttname"><a href="../../d5/d39/class_o_n___mesh_curve_parameters.html#a0b10dc8b1f960de99315aa742947f512">ON_MeshCurveParameters::m_max_ang_radians</a></div><div class="ttdeci">double m_max_ang_radians</div><div class="ttdef"><b>Definition:</b> opennurbs_curve.h:50</div></div>
<div class="ttc" id="class_o_n___line_html"><div class="ttname"><a href="../../d4/d6f/class_o_n___line.html">ON_Line</a></div><div class="ttdef"><b>Definition:</b> opennurbs_line.h:20</div></div>
<div class="ttc" id="class_o_n___mesh_curve_parameters_html_a0932d2f06a82f7487c97f719063da889"><div class="ttname"><a href="../../d5/d39/class_o_n___mesh_curve_parameters.html#a0932d2f06a82f7487c97f719063da889">ON_MeshCurveParameters::m_reserved1</a></div><div class="ttdeci">int m_reserved1</div><div class="ttdef"><b>Definition:</b> opennurbs_curve.h:45</div></div>
<div class="ttc" id="class_o_n___mesh_curve_parameters_html_ab678adaa6c56bbf3b4128026fda1ec95"><div class="ttname"><a href="../../d5/d39/class_o_n___mesh_curve_parameters.html#ab678adaa6c56bbf3b4128026fda1ec95">ON_MeshCurveParameters::m_min_edge_length</a></div><div class="ttdeci">double m_min_edge_length</div><div class="ttdef"><b>Definition:</b> opennurbs_curve.h:70</div></div>
<div class="ttc" id="class_o_n___ellipse_html"><div class="ttname"><a href="../../d6/dd8/class_o_n___ellipse.html">ON_Ellipse</a></div><div class="ttdef"><b>Definition:</b> opennurbs_ellipse.h:23</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___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___object_html_a09ac9742ead91dd8f9cdd579bcbfed10"><div class="ttname"><a href="../../d9/d7b/class_o_n___object.html#a09ac9742ead91dd8f9cdd579bcbfed10">ON_Object::Read</a></div><div class="ttdeci">virtual bool Read(ON_BinaryArchive &amp;binary_archive)</div><div class="ttdoc">Low level archive writing tool used by ON_BinaryArchive::ReadObject(). </div></div>
<div class="ttc" id="class_o_n___obj_ref_html"><div class="ttname"><a href="../../d3/d80/class_o_n___obj_ref.html">ON_ObjRef</a></div><div class="ttdef"><b>Definition:</b> opennurbs_objref.h:163</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___object_html_a16eb9ab6bf0d0a614655cf9cd055871a"><div class="ttname"><a href="../../d9/d7b/class_o_n___object.html#a16eb9ab6bf0d0a614655cf9cd055871a">ON_Object::Write</a></div><div class="ttdeci">virtual bool Write(ON_BinaryArchive &amp;binary_archive) const</div><div class="ttdoc">Low level archive writing tool used by ON_BinaryArchive::WriteObject(). </div></div>
<div class="ttc" id="class_o_n___plane_html"><div class="ttname"><a href="../../d4/d48/class_o_n___plane.html">ON_Plane</a></div><div class="ttdef"><b>Definition:</b> opennurbs_plane.h:20</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>
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