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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/* $NoKeywords: $ */</span></div><div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment">/*</span></div><div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment">//</span></div><div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment">// Copyright (c) 1993-2012 Robert McNeel & Associates. All rights reserved.</span></div><div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <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> <span class="comment">// McNeel & Associates.</span></div><div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment">//</span></div><div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment">// THIS SOFTWARE IS PROVIDED "AS IS" WITHOUT EXPRESS OR IMPLIED WARRANTY.</span></div><div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <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> <span class="comment">// MERCHANTABILITY ARE HEREBY DISCLAIMED.</span></div><div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="comment">// </span></div><div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="comment">// For complete openNURBS copyright information see <http://www.opennurbs.org>.</span></div><div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="comment">//</span><span class="comment"></span></div><div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="comment">////////////////////////////////////////////////////////////////</span></div><div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="comment"></span>*/</div><div class="line"><a name="l00016"></a><span class="lineno"> 16</span> </div><div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="preprocessor">#if !defined(OPENNURBS_REVSURFACE_INC_)</span></div><div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="preprocessor">#define OPENNURBS_REVSURFACE_INC_</span></div><div class="line"><a name="l00019"></a><span class="lineno"> 19</span> </div><div class="line"><a name="l00020"></a><span class="lineno"> 20</span> <span class="comment">// surface of revolution</span></div><div class="line"><a name="l00021"></a><span class="lineno"><a class="line" href="../../d1/d37/class_o_n___rev_surface.html"> 21</a></span> <span class="keyword">class </span>ON_CLASS <a class="code" href="../../d1/d37/class_o_n___rev_surface.html">ON_RevSurface</a> : <span class="keyword">public</span> <a class="code" href="../../da/da0/class_o_n___surface.html">ON_Surface</a></div><div class="line"><a name="l00022"></a><span class="lineno"> 22</span> {</div><div class="line"><a name="l00023"></a><span class="lineno"> 23</span>  ON_OBJECT_DECLARE(<a class="code" href="../../d1/d37/class_o_n___rev_surface.html">ON_RevSurface</a>);</div><div class="line"><a name="l00024"></a><span class="lineno"> 24</span> </div><div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="keyword">public</span>:</div><div class="line"><a name="l00026"></a><span class="lineno"> 26</span>  <span class="comment">// virtual ON_Object::DestroyRuntimeCache override</span></div><div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  <span class="keywordtype">void</span> <a class="code" href="../../da/da0/class_o_n___surface.html#acfce039c891be4737a8710462b3336dc">DestroyRuntimeCache</a>( <span class="keywordtype">bool</span> bDelete = <span class="keyword">true</span> ) <span class="keyword">override</span>;</div><div class="line"><a name="l00028"></a><span class="lineno"> 28</span> </div><div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="keyword">public</span>:</div><div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  <span class="comment">// Revolute curve.</span></div><div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  <span class="comment">// If m_curve is not nullptr, then ~ON_RevSurface() deletes m_curve.</span></div><div class="line"><a name="l00032"></a><span class="lineno"><a class="line" href="../../d1/d37/class_o_n___rev_surface.html#a8d35dda9d9f673831a862284921cf2a2"> 32</a></span>  <a class="code" href="../../d4/d5a/class_o_n___curve.html">ON_Curve</a>* <a class="code" href="../../d1/d37/class_o_n___rev_surface.html#a8d35dda9d9f673831a862284921cf2a2">m_curve</a>;</div><div class="line"><a name="l00033"></a><span class="lineno"> 33</span> </div><div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  <span class="comment">// Axis of revolution.</span></div><div class="line"><a name="l00035"></a><span class="lineno"><a class="line" href="../../d1/d37/class_o_n___rev_surface.html#aeb14c56c6cd1a1539d9d0b7b11580e32"> 35</a></span>  <a class="code" href="../../d4/d6f/class_o_n___line.html">ON_Line</a> <a class="code" href="../../d1/d37/class_o_n___rev_surface.html#aeb14c56c6cd1a1539d9d0b7b11580e32">m_axis</a>;</div><div class="line"><a name="l00036"></a><span class="lineno"> 36</span> </div><div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  <span class="comment">// Start and end angles of revolution in radians. </span></div><div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  <span class="comment">// The interval m_angle must be increasing and satisfiy </span></div><div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  <span class="comment">// ON_ZERO_TOLERANCE < m_angle.Length() <= 2.0*ON_PI</span></div><div class="line"><a name="l00040"></a><span class="lineno"><a class="line" href="../../d1/d37/class_o_n___rev_surface.html#a6db4b87e5e2c203bccce4fa912123cbf"> 40</a></span>  <a class="code" href="../../dc/dc7/class_o_n___interval.html">ON_Interval</a> <a class="code" href="../../d1/d37/class_o_n___rev_surface.html#a6db4b87e5e2c203bccce4fa912123cbf">m_angle</a>;</div><div class="line"><a name="l00041"></a><span class="lineno"> 41</span> </div><div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  <span class="comment">// The interval m_t specifies the parameterization for the</span></div><div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  <span class="comment">// angular parameter; m_t must be an increasing interval.</span></div><div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  <span class="comment">// The parameter m_t[0] corresonds to angle m_angle[0] and </span></div><div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  <span class="comment">// the parameter m_t[1] corresponds to angle m_angle[1].</span></div><div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  <span class="comment">// Changing m_t and leaving m_angle unchanged will change the</span></div><div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  <span class="comment">// parameterization but not change the locus of the surface.</span></div><div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  <span class="comment">// Changing m_angle and leaving m_t unchanged, will change the</span></div><div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  <span class="comment">// locus of the surface but not change the evaluation domain.</span></div><div class="line"><a name="l00050"></a><span class="lineno"><a class="line" href="../../d1/d37/class_o_n___rev_surface.html#a7a7523c38800b8a68ae6ab0bf6fd5237"> 50</a></span>  <a class="code" href="../../dc/dc7/class_o_n___interval.html">ON_Interval</a> <a class="code" href="../../d1/d37/class_o_n___rev_surface.html#a7a7523c38800b8a68ae6ab0bf6fd5237">m_t</a>;</div><div class="line"><a name="l00051"></a><span class="lineno"> 51</span> </div><div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  <span class="comment">// If false, the "u" parameter is the angle parameter</span></div><div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  <span class="comment">// and the "v" parameter is the curve parameter. </span></div><div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <span class="comment">// If true, the "u" parameter is the curve parameter</span></div><div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <span class="comment">// and the "v" parameter is the angle parameter. </span></div><div class="line"><a name="l00056"></a><span class="lineno"><a class="line" href="../../d1/d37/class_o_n___rev_surface.html#ac73cf6b7bcf7ff6bf64a59b5765d44c0"> 56</a></span>  <span class="keywordtype">bool</span> <a class="code" href="../../d1/d37/class_o_n___rev_surface.html#ac73cf6b7bcf7ff6bf64a59b5765d44c0">m_bTransposed</a>;</div><div class="line"><a name="l00057"></a><span class="lineno"> 57</span> </div><div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <span class="comment">// Bounding box of the surface of revolution.</span></div><div class="line"><a name="l00059"></a><span class="lineno"><a class="line" href="../../d1/d37/class_o_n___rev_surface.html#af631cd19a49327e5fd9f2ae4b227ef5a"> 59</a></span>  <a class="code" href="../../d1/d17/class_o_n___bounding_box.html">ON_BoundingBox</a> <a class="code" href="../../d1/d37/class_o_n___rev_surface.html#af631cd19a49327e5fd9f2ae4b227ef5a">m_bbox</a>;</div><div class="line"><a name="l00060"></a><span class="lineno"> 60</span> </div><div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  <span class="comment">/*</span></div><div class="line"><a name="l00062"></a><span class="lineno"> 62</span> <span class="comment"> Description:</span></div><div class="line"><a name="l00063"></a><span class="lineno"> 63</span> <span class="comment"> Use ON_RevSurface::New(...) instead of new ON_RevSurface(...)</span></div><div class="line"><a name="l00064"></a><span class="lineno"> 64</span> <span class="comment"> Returns:</span></div><div class="line"><a name="l00065"></a><span class="lineno"> 65</span> <span class="comment"> Pointer to an ON_RevSurface. Destroy by calling delete.</span></div><div class="line"><a name="l00066"></a><span class="lineno"> 66</span> <span class="comment"> Remarks:</span></div><div class="line"><a name="l00067"></a><span class="lineno"> 67</span> <span class="comment"> See static ON_Brep* ON_Brep::New() for details.</span></div><div class="line"><a name="l00068"></a><span class="lineno"> 68</span> <span class="comment"> */</span></div><div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  <span class="keyword">static</span> <a class="code" href="../../d1/d37/class_o_n___rev_surface.html">ON_RevSurface</a>* New();</div><div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <span class="keyword">static</span> <a class="code" href="../../d1/d37/class_o_n___rev_surface.html">ON_RevSurface</a>* New( <span class="keyword">const</span> <a class="code" href="../../d1/d37/class_o_n___rev_surface.html">ON_RevSurface</a>& rev_surface );</div><div class="line"><a name="l00071"></a><span class="lineno"> 71</span> </div><div class="line"><a name="l00072"></a><span class="lineno"> 72</span> </div><div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <a class="code" href="../../d1/d37/class_o_n___rev_surface.html">ON_RevSurface</a>();</div><div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  ~<a class="code" href="../../d1/d37/class_o_n___rev_surface.html">ON_RevSurface</a>();</div><div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <a class="code" href="../../d1/d37/class_o_n___rev_surface.html">ON_RevSurface</a>( <span class="keyword">const</span> <a class="code" href="../../d1/d37/class_o_n___rev_surface.html">ON_RevSurface</a>& );</div><div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <a class="code" href="../../d1/d37/class_o_n___rev_surface.html">ON_RevSurface</a>& <a class="code" href="../../da/da0/class_o_n___surface.html#a762f6ef1b3f3ca34753be6dce8afdc2d">operator=</a>( <span class="keyword">const</span> <a class="code" href="../../d1/d37/class_o_n___rev_surface.html">ON_RevSurface</a>& );</div><div class="line"><a name="l00077"></a><span class="lineno"> 77</span> </div><div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  <span class="keywordtype">void</span> Destroy();</div><div class="line"><a name="l00079"></a><span class="lineno"> 79</span> </div><div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <span class="keywordtype">bool</span> SetAngleRadians(</div><div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  <span class="keywordtype">double</span> start_angle_radians,</div><div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  <span class="keywordtype">double</span> end_angle_radians</div><div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  );</div><div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  </div><div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  <span class="keywordtype">bool</span> SetAngleDegrees(</div><div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  <span class="keywordtype">double</span> start_angle_degrees,</div><div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  <span class="keywordtype">double</span> end_angle_degrees</div><div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  );</div><div class="line"><a name="l00089"></a><span class="lineno"> 89</span> <span class="comment"></span></div><div class="line"><a name="l00090"></a><span class="lineno"> 90</span> <span class="comment"> ////////////////////////////////////////////////////////////</span></div><div class="line"><a name="l00091"></a><span class="lineno"> 91</span> <span class="comment"></span> <span class="comment">//</span></div><div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  <span class="comment">// overrides of virtual ON_Object functions</span></div><div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <span class="comment">//</span></div><div class="line"><a name="l00094"></a><span class="lineno"> 94</span> </div><div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  <span class="comment">// virtual ON_Object::SizeOf override</span></div><div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> <a class="code" href="../../da/da0/class_o_n___surface.html#a2f753f161c711fb529aa98649757beee">SizeOf</a>() <span class="keyword">const override</span>;</div><div class="line"><a name="l00097"></a><span class="lineno"> 97</span> </div><div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  <span class="comment">// virtual ON_Object::DataCRC override</span></div><div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  ON__UINT32 <a class="code" href="../../d9/d7b/class_o_n___object.html#af51d5fcec9379ad9b7a56ac4dfc9a8b2">DataCRC</a>(ON__UINT32 current_remainder) <span class="keyword">const override</span>;</div><div class="line"><a name="l00100"></a><span class="lineno"> 100</span> </div><div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  <span class="keywordtype">bool</span> <a class="code" href="../../df/de0/class_o_n___geometry.html#adf87e5ba0d9939dfabbb9f421b9d2b3b">IsValid</a>( <span class="keyword">class</span> <a class="code" href="../../d2/da3/class_o_n___text_log.html">ON_TextLog</a>* text_log = <span class="keyword">nullptr</span> ) <span class="keyword">const override</span>;</div><div class="line"><a name="l00102"></a><span class="lineno"> 102</span> </div><div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  <span class="keywordtype">void</span> <a class="code" href="../../d9/d7b/class_o_n___object.html#a21c7b04a80f1806c3a45f72d7c491a44">Dump</a>( <a class="code" href="../../d2/da3/class_o_n___text_log.html">ON_TextLog</a>& ) <span class="keyword">const override</span>; <span class="comment">// for debugging</span></div><div class="line"><a name="l00104"></a><span class="lineno"> 104</span> </div><div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  <span class="comment">// Use ON_BinaryArchive::WriteObject() and ON_BinaryArchive::ReadObject()</span></div><div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  <span class="comment">// for top level serialization. These Read()/Write() members should just</span></div><div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <span class="comment">// write/read specific definitions. In particular, they should not write/</span></div><div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  <span class="comment">// read any chunk typecode or length information. The default </span></div><div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  <span class="comment">// implementations return false and do nothing.</span></div><div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  <span class="keywordtype">bool</span> <a class="code" href="../../d9/d7b/class_o_n___object.html#a16eb9ab6bf0d0a614655cf9cd055871a">Write</a>(</div><div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  <a class="code" href="../../db/d16/class_o_n___binary_archive.html">ON_BinaryArchive</a>& <span class="comment">// serialize definition to binary archive</span></div><div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  ) <span class="keyword">const override</span>;</div><div class="line"><a name="l00113"></a><span class="lineno"> 113</span> </div><div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  <span class="keywordtype">bool</span> <a class="code" href="../../d9/d7b/class_o_n___object.html#a09ac9742ead91dd8f9cdd579bcbfed10">Read</a>(</div><div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  <a class="code" href="../../db/d16/class_o_n___binary_archive.html">ON_BinaryArchive</a>& <span class="comment">// restore definition from binary archive</span></div><div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  ) <span class="keyword">override</span>;</div><div class="line"><a name="l00117"></a><span class="lineno"> 117</span> <span class="comment"></span></div><div class="line"><a name="l00118"></a><span class="lineno"> 118</span> <span class="comment"> ////////////////////////////////////////////////////////////</span></div><div class="line"><a name="l00119"></a><span class="lineno"> 119</span> <span class="comment"></span> <span class="comment">//</span></div><div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  <span class="comment">// overrides of virtual ON_Geometry functions</span></div><div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  <span class="comment">//</span></div><div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  <span class="keywordtype">int</span> <a class="code" href="../../df/de0/class_o_n___geometry.html#a0d66ab16e2fddfd1b3e6cf3d6ebbd364">Dimension</a>() <span class="keyword">const override</span>;</div><div class="line"><a name="l00123"></a><span class="lineno"> 123</span> </div><div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  <span class="comment">// virtual ON_Geometry GetBBox override </span></div><div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  <span class="keywordtype">bool</span> <a class="code" href="../../df/de0/class_o_n___geometry.html#ad615e08fe92af659c8d10cbb4f8fc5e3">GetBBox</a>( <span class="keywordtype">double</span>* boxmin, <span class="keywordtype">double</span>* boxmax, <span class="keywordtype">bool</span> bGrowBox = <span class="keyword">false</span> ) <span class="keyword">const override</span>;</div><div class="line"><a name="l00126"></a><span class="lineno"> 126</span> </div><div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  <span class="keywordtype">void</span> <a class="code" href="../../df/de0/class_o_n___geometry.html#af8dfbd8534986bbd327a6ad812e374be">ClearBoundingBox</a>() <span class="keyword">override</span>;</div><div class="line"><a name="l00128"></a><span class="lineno"> 128</span> </div><div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  <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="l00130"></a><span class="lineno"> 130</span>  <span class="keyword">const</span> <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>&</div><div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  ) <span class="keyword">override</span>;</div><div class="line"><a name="l00132"></a><span class="lineno"> 132</span> <span class="comment"></span></div><div class="line"><a name="l00133"></a><span class="lineno"> 133</span> <span class="comment"> ////////////////////////////////////////////////////////////</span></div><div class="line"><a name="l00134"></a><span class="lineno"> 134</span> <span class="comment"></span> <span class="comment">//</span></div><div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  <span class="comment">// overrides of virtual ON_Surface functions</span></div><div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  <span class="comment">//</span></div><div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  </div><div class="line"><a name="l00138"></a><span class="lineno"> 138</span> </div><div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  <span class="keywordtype">bool</span> <a class="code" href="../../da/da0/class_o_n___surface.html#a809b19c6594c924289e15c25f2b37573">SetDomain</a>( </div><div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  <span class="keywordtype">int</span> dir, <span class="comment">// 0 sets first parameter's domain, 1 gets second parameter's domain</span></div><div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  <span class="keywordtype">double</span> t0, </div><div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  <span class="keywordtype">double</span> t1</div><div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  ) <span class="keyword">override</span>;</div><div class="line"><a name="l00144"></a><span class="lineno"> 144</span> </div><div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  <a class="code" href="../../dc/dc7/class_o_n___interval.html">ON_Interval</a> <a class="code" href="../../da/da0/class_o_n___surface.html#aa38f6584ca9d96a6be9e04823bc5585a">Domain</a>(</div><div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  <span class="keywordtype">int</span> <span class="comment">// 0 gets first parameter's domain, 1 gets second parameter's domain</span></div><div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  ) <span class="keyword">const override</span>;</div><div class="line"><a name="l00148"></a><span class="lineno"> 148</span> </div><div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  <span class="comment">/*</span></div><div class="line"><a name="l00150"></a><span class="lineno"> 150</span> <span class="comment"> Description:</span></div><div class="line"><a name="l00151"></a><span class="lineno"> 151</span> <span class="comment"> Get an estimate of the size of the rectangle that would</span></div><div class="line"><a name="l00152"></a><span class="lineno"> 152</span> <span class="comment"> be created if the 3d surface where flattened into a rectangle.</span></div><div class="line"><a name="l00153"></a><span class="lineno"> 153</span> <span class="comment"> Parameters:</span></div><div class="line"><a name="l00154"></a><span class="lineno"> 154</span> <span class="comment"> width - [out] (corresponds to the first surface parameter)</span></div><div class="line"><a name="l00155"></a><span class="lineno"> 155</span> <span class="comment"> height - [out] (corresponds to the first surface parameter)</span></div><div class="line"><a name="l00156"></a><span class="lineno"> 156</span> <span class="comment"> Remarks:</span></div><div class="line"><a name="l00157"></a><span class="lineno"> 157</span> <span class="comment"> overrides virtual ON_Surface::GetSurfaceSize</span></div><div class="line"><a name="l00158"></a><span class="lineno"> 158</span> <span class="comment"> Returns:</span></div><div class="line"><a name="l00159"></a><span class="lineno"> 159</span> <span class="comment"> true if successful.</span></div><div class="line"><a name="l00160"></a><span class="lineno"> 160</span> <span class="comment"> */</span></div><div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  <span class="keywordtype">bool</span> <a class="code" href="../../da/da0/class_o_n___surface.html#a92b4795bd65f16952895c05319c75128">GetSurfaceSize</a>( </div><div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  <span class="keywordtype">double</span>* width, </div><div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  <span class="keywordtype">double</span>* height </div><div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  ) <span class="keyword">const override</span>;</div><div class="line"><a name="l00165"></a><span class="lineno"> 165</span> </div><div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  <span class="keywordtype">int</span> <a class="code" href="../../da/da0/class_o_n___surface.html#ac9b0d48e7470d0b6c12bd29ad299f093">SpanCount</a>(</div><div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  <span class="keywordtype">int</span> <span class="comment">// 0 gets first parameter's domain, 1 gets second parameter's domain</span></div><div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  ) <span class="keyword">const override</span>; <span class="comment">// number of smooth spans in curve</span></div><div class="line"><a name="l00169"></a><span class="lineno"> 169</span> </div><div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  <span class="keywordtype">bool</span> <a class="code" href="../../da/da0/class_o_n___surface.html#a3d851661de5ad899125bc593cb36de72">GetSpanVector</a>( <span class="comment">// span "knots" </span></div><div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  <span class="keywordtype">int</span>, <span class="comment">// 0 gets first parameter's domain, 1 gets second parameter's domain</span></div><div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  <span class="keywordtype">double</span>* <span class="comment">// array of length SpanCount() + 1 </span></div><div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  ) <span class="keyword">const override</span>; <span class="comment">// </span></div><div class="line"><a name="l00174"></a><span class="lineno"> 174</span> </div><div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  <span class="keywordtype">int</span> <a class="code" href="../../da/da0/class_o_n___surface.html#a3c9535e38883dc5a1e2982066b0f0387">Degree</a>( <span class="comment">// returns maximum algebraic degree of any span </span></div><div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  <span class="comment">// ( or a good estimate if curve spans are not algebraic )</span></div><div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  <span class="keywordtype">int</span> <span class="comment">// 0 gets first parameter's domain, 1 gets second parameter's domain</span></div><div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  ) <span class="keyword">const override</span>; </div><div class="line"><a name="l00179"></a><span class="lineno"> 179</span> </div><div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  <span class="keywordtype">bool</span> <a class="code" href="../../da/da0/class_o_n___surface.html#a0e3fc2e55337769949de67ac8f90a195">GetParameterTolerance</a>( <span class="comment">// returns tminus < tplus: parameters tminus <= s <= tplus</span></div><div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  <span class="keywordtype">int</span>, <span class="comment">// 0 gets first parameter, 1 gets second parameter</span></div><div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  <span class="keywordtype">double</span>, <span class="comment">// t = parameter in domain</span></div><div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  <span class="keywordtype">double</span>*, <span class="comment">// tminus</span></div><div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  <span class="keywordtype">double</span>* <span class="comment">// tplus</span></div><div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  ) <span class="keyword">const override</span>;</div><div class="line"><a name="l00186"></a><span class="lineno"> 186</span> </div><div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  <span class="comment">/*</span></div><div class="line"><a name="l00188"></a><span class="lineno"> 188</span> <span class="comment"> Description:</span></div><div class="line"><a name="l00189"></a><span class="lineno"> 189</span> <span class="comment"> Test a surface of revolution to see if it is a portion</span></div><div class="line"><a name="l00190"></a><span class="lineno"> 190</span> <span class="comment"> of a sphere.</span></div><div class="line"><a name="l00191"></a><span class="lineno"> 191</span> <span class="comment"> Parameters:</span></div><div class="line"><a name="l00192"></a><span class="lineno"> 192</span> <span class="comment"> sphere - [out] if not nullptr and true is returned,</span></div><div class="line"><a name="l00193"></a><span class="lineno"> 193</span> <span class="comment"> the sphere parameters are filled in.</span></div><div class="line"><a name="l00194"></a><span class="lineno"> 194</span> <span class="comment"> tolerance - [in] tolerance to use when checking</span></div><div class="line"><a name="l00195"></a><span class="lineno"> 195</span> <span class="comment"> Returns:</span></div><div class="line"><a name="l00196"></a><span class="lineno"> 196</span> <span class="comment"> true if the surface of revolution is a portion of a sphere.</span></div><div class="line"><a name="l00197"></a><span class="lineno"> 197</span> <span class="comment"> */</span></div><div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  <span class="keywordtype">bool</span> IsSpherical(</div><div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  <a class="code" href="../../d7/dd8/class_o_n___sphere.html">ON_Sphere</a>* sphere = <span class="keyword">nullptr</span>,</div><div class="line"><a name="l00200"></a><span class="lineno"> 200</span>  <span class="keywordtype">double</span> tolerance = ON_ZERO_TOLERANCE</div><div class="line"><a name="l00201"></a><span class="lineno"> 201</span>  ) <span class="keyword">const</span>;</div><div class="line"><a name="l00202"></a><span class="lineno"> 202</span> </div><div class="line"><a name="l00203"></a><span class="lineno"> 203</span>  <span class="comment">/*</span></div><div class="line"><a name="l00204"></a><span class="lineno"> 204</span> <span class="comment"> Description:</span></div><div class="line"><a name="l00205"></a><span class="lineno"> 205</span> <span class="comment"> Test a surface of revolution to see if it is a portion</span></div><div class="line"><a name="l00206"></a><span class="lineno"> 206</span> <span class="comment"> of a cylinder.</span></div><div class="line"><a name="l00207"></a><span class="lineno"> 207</span> <span class="comment"> Parameters:</span></div><div class="line"><a name="l00208"></a><span class="lineno"> 208</span> <span class="comment"> cylinder - [out] if not nullptr and true is returned,</span></div><div class="line"><a name="l00209"></a><span class="lineno"> 209</span> <span class="comment"> the cylinder parameters are filled in.</span></div><div class="line"><a name="l00210"></a><span class="lineno"> 210</span> <span class="comment"> tolerance - [in] tolerance to use when checking</span></div><div class="line"><a name="l00211"></a><span class="lineno"> 211</span> <span class="comment"> Returns:</span></div><div class="line"><a name="l00212"></a><span class="lineno"> 212</span> <span class="comment"> true if the surface of revolution is a portion of a cylinder.</span></div><div class="line"><a name="l00213"></a><span class="lineno"> 213</span> <span class="comment"> */</span></div><div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  <span class="keywordtype">bool</span> IsCylindrical(</div><div class="line"><a name="l00215"></a><span class="lineno"> 215</span>  <a class="code" href="../../d7/de6/class_o_n___cylinder.html">ON_Cylinder</a>* cylinder = <span class="keyword">nullptr</span>,</div><div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  <span class="keywordtype">double</span> tolerance = ON_ZERO_TOLERANCE</div><div class="line"><a name="l00217"></a><span class="lineno"> 217</span>  ) <span class="keyword">const</span>;</div><div class="line"><a name="l00218"></a><span class="lineno"> 218</span> </div><div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  <span class="comment">/*</span></div><div class="line"><a name="l00220"></a><span class="lineno"> 220</span> <span class="comment"> Description:</span></div><div class="line"><a name="l00221"></a><span class="lineno"> 221</span> <span class="comment"> Test a surface of revolution to see if it is a portion</span></div><div class="line"><a name="l00222"></a><span class="lineno"> 222</span> <span class="comment"> of a cone.</span></div><div class="line"><a name="l00223"></a><span class="lineno"> 223</span> <span class="comment"> Parameters:</span></div><div class="line"><a name="l00224"></a><span class="lineno"> 224</span> <span class="comment"> cone - [out] if not nullptr and true is returned,</span></div><div class="line"><a name="l00225"></a><span class="lineno"> 225</span> <span class="comment"> the cone parameters are filled in.</span></div><div class="line"><a name="l00226"></a><span class="lineno"> 226</span> <span class="comment"> tolerance - [in] tolerance to use when checking</span></div><div class="line"><a name="l00227"></a><span class="lineno"> 227</span> <span class="comment"> Returns:</span></div><div class="line"><a name="l00228"></a><span class="lineno"> 228</span> <span class="comment"> true if the surface of revolution is a portion of a cone.</span></div><div class="line"><a name="l00229"></a><span class="lineno"> 229</span> <span class="comment"> */</span></div><div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  <span class="keywordtype">bool</span> IsConical(</div><div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  <a class="code" href="../../d0/d51/class_o_n___cone.html">ON_Cone</a>* cone = <span class="keyword">nullptr</span>,</div><div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  <span class="keywordtype">double</span> tolerance = ON_ZERO_TOLERANCE</div><div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  ) <span class="keyword">const</span>;</div><div class="line"><a name="l00234"></a><span class="lineno"> 234</span> </div><div class="line"><a name="l00235"></a><span class="lineno"> 235</span>  <span class="comment">/*</span></div><div class="line"><a name="l00236"></a><span class="lineno"> 236</span> <span class="comment"> Description:</span></div><div class="line"><a name="l00237"></a><span class="lineno"> 237</span> <span class="comment"> Test a surface to see if it is planar.</span></div><div class="line"><a name="l00238"></a><span class="lineno"> 238</span> <span class="comment"> Parameters:</span></div><div class="line"><a name="l00239"></a><span class="lineno"> 239</span> <span class="comment"> plane - [out] if not nullptr and true is returned,</span></div><div class="line"><a name="l00240"></a><span class="lineno"> 240</span> <span class="comment"> the plane parameters are filled in.</span></div><div class="line"><a name="l00241"></a><span class="lineno"> 241</span> <span class="comment"> tolerance - [in] tolerance to use when checking</span></div><div class="line"><a name="l00242"></a><span class="lineno"> 242</span> <span class="comment"> Returns:</span></div><div class="line"><a name="l00243"></a><span class="lineno"> 243</span> <span class="comment"> true if there is a plane such that the maximum distance from</span></div><div class="line"><a name="l00244"></a><span class="lineno"> 244</span> <span class="comment"> the surface to the plane is <= tolerance.</span></div><div class="line"><a name="l00245"></a><span class="lineno"> 245</span> <span class="comment"> Remarks:</span></div><div class="line"><a name="l00246"></a><span class="lineno"> 246</span> <span class="comment"> Overrides virtual ON_Surface::IsPlanar.</span></div><div class="line"><a name="l00247"></a><span class="lineno"> 247</span> <span class="comment"> */</span></div><div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  <span class="keywordtype">bool</span> <a class="code" href="../../da/da0/class_o_n___surface.html#ae72f5823aecfe07f1fd086a2e1deebc2">IsPlanar</a>(</div><div class="line"><a name="l00249"></a><span class="lineno"> 249</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="l00250"></a><span class="lineno"> 250</span>  <span class="keywordtype">double</span> tolerance = ON_ZERO_TOLERANCE</div><div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  ) <span class="keyword">const override</span>;</div><div class="line"><a name="l00252"></a><span class="lineno"> 252</span> </div><div class="line"><a name="l00253"></a><span class="lineno"> 253</span>  <span class="keywordtype">bool</span> <a class="code" href="../../da/da0/class_o_n___surface.html#a8ef48a6603b29fd617456581a073d544">IsClosed</a>( <span class="comment">// true if surface is closed in direction</span></div><div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  <span class="keywordtype">int</span> <span class="comment">// dir 0 = "s", 1 = "t"</span></div><div class="line"><a name="l00255"></a><span class="lineno"> 255</span>  ) <span class="keyword">const override</span>;</div><div class="line"><a name="l00256"></a><span class="lineno"> 256</span> </div><div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  <span class="keywordtype">bool</span> <a class="code" href="../../da/da0/class_o_n___surface.html#a81785cd872ac150e058af4a8c80feab1">IsPeriodic</a>( <span class="comment">// true if surface is periodic in direction</span></div><div class="line"><a name="l00258"></a><span class="lineno"> 258</span>  <span class="keywordtype">int</span> <span class="comment">// dir 0 = "s", 1 = "t"</span></div><div class="line"><a name="l00259"></a><span class="lineno"> 259</span>  ) <span class="keyword">const override</span>;</div><div class="line"><a name="l00260"></a><span class="lineno"> 260</span> </div><div class="line"><a name="l00261"></a><span class="lineno"> 261</span>  <span class="keywordtype">bool</span> <a class="code" href="../../da/da0/class_o_n___surface.html#ad72300a940e9460fd427fc6235aed9fb">IsSingular</a>( <span class="comment">// true if surface side is collapsed to a point</span></div><div class="line"><a name="l00262"></a><span class="lineno"> 262</span>  <span class="keywordtype">int</span> <span class="comment">// side of parameter space to test</span></div><div class="line"><a name="l00263"></a><span class="lineno"> 263</span>  <span class="comment">// 0 = south, 1 = east, 2 = north, 3 = west</span></div><div class="line"><a name="l00264"></a><span class="lineno"> 264</span>  ) <span class="keyword">const override</span>;</div><div class="line"><a name="l00265"></a><span class="lineno"> 265</span>  </div><div class="line"><a name="l00266"></a><span class="lineno"> 266</span>  <span class="comment">/*</span></div><div class="line"><a name="l00267"></a><span class="lineno"> 267</span> <span class="comment"> Description:</span></div><div class="line"><a name="l00268"></a><span class="lineno"> 268</span> <span class="comment"> Search for a derivatitive, tangent, or curvature </span></div><div class="line"><a name="l00269"></a><span class="lineno"> 269</span> <span class="comment"> discontinuity.</span></div><div class="line"><a name="l00270"></a><span class="lineno"> 270</span> <span class="comment"> Parameters:</span></div><div class="line"><a name="l00271"></a><span class="lineno"> 271</span> <span class="comment"> dir - [in] If 0, then "u" parameter is checked. If 1, then</span></div><div class="line"><a name="l00272"></a><span class="lineno"> 272</span> <span class="comment"> the "v" parameter is checked.</span></div><div class="line"><a name="l00273"></a><span class="lineno"> 273</span> <span class="comment"> c - [in] type of continity to test for.</span></div><div class="line"><a name="l00274"></a><span class="lineno"> 274</span> <span class="comment"> t0 - [in] Search begins at t0. If there is a discontinuity</span></div><div class="line"><a name="l00275"></a><span class="lineno"> 275</span> <span class="comment"> at t0, it will be ignored. This makes it </span></div><div class="line"><a name="l00276"></a><span class="lineno"> 276</span> <span class="comment"> possible to repeatedly call GetNextDiscontinuity</span></div><div class="line"><a name="l00277"></a><span class="lineno"> 277</span> <span class="comment"> and step through the discontinuities.</span></div><div class="line"><a name="l00278"></a><span class="lineno"> 278</span> <span class="comment"> t1 - [in] (t0 != t1) If there is a discontinuity at t1 is </span></div><div class="line"><a name="l00279"></a><span class="lineno"> 279</span> <span class="comment"> will be ingored unless c is a locus discontinuity</span></div><div class="line"><a name="l00280"></a><span class="lineno"> 280</span> <span class="comment"> type and t1 is at the start or end of the curve.</span></div><div class="line"><a name="l00281"></a><span class="lineno"> 281</span> <span class="comment"> t - [out] if a discontinuity is found, then *t reports the</span></div><div class="line"><a name="l00282"></a><span class="lineno"> 282</span> <span class="comment"> parameter at the discontinuity.</span></div><div class="line"><a name="l00283"></a><span class="lineno"> 283</span> <span class="comment"> hint - [in/out] if GetNextDiscontinuity will be called </span></div><div class="line"><a name="l00284"></a><span class="lineno"> 284</span> <span class="comment"> repeatedly, passing a "hint" with initial value *hint=0</span></div><div class="line"><a name="l00285"></a><span class="lineno"> 285</span> <span class="comment"> will increase the speed of the search. </span></div><div class="line"><a name="l00286"></a><span class="lineno"> 286</span> <span class="comment"> dtype - [out] if not nullptr, *dtype reports the kind of </span></div><div class="line"><a name="l00287"></a><span class="lineno"> 287</span> <span class="comment"> discontinuity found at *t. A value of 1 means the first </span></div><div class="line"><a name="l00288"></a><span class="lineno"> 288</span> <span class="comment"> derivative or unit tangent was discontinuous. A value </span></div><div class="line"><a name="l00289"></a><span class="lineno"> 289</span> <span class="comment"> of 2 means the second derivative or curvature was </span></div><div class="line"><a name="l00290"></a><span class="lineno"> 290</span> <span class="comment"> discontinuous. A value of 0 means teh curve is not</span></div><div class="line"><a name="l00291"></a><span class="lineno"> 291</span> <span class="comment"> closed, a locus discontinuity test was applied, and</span></div><div class="line"><a name="l00292"></a><span class="lineno"> 292</span> <span class="comment"> t1 is at the start of end of the curve.</span></div><div class="line"><a name="l00293"></a><span class="lineno"> 293</span> <span class="comment"> cos_angle_tolerance - [in] default = cos(1 degree) Used only</span></div><div class="line"><a name="l00294"></a><span class="lineno"> 294</span> <span class="comment"> when c is ON::continuity::G1_continuous or ON::continuity::G2_continuous. If the</span></div><div class="line"><a name="l00295"></a><span class="lineno"> 295</span> <span class="comment"> cosine of the angle between two tangent vectors is </span></div><div class="line"><a name="l00296"></a><span class="lineno"> 296</span> <span class="comment"> <= cos_angle_tolerance, then a G1 discontinuity is reported.</span></div><div class="line"><a name="l00297"></a><span class="lineno"> 297</span> <span class="comment"> curvature_tolerance - [in] (default = ON_SQRT_EPSILON) Used </span></div><div class="line"><a name="l00298"></a><span class="lineno"> 298</span> <span class="comment"> only when c is ON::continuity::G2_continuous. If K0 and K1 are </span></div><div class="line"><a name="l00299"></a><span class="lineno"> 299</span> <span class="comment"> curvatures evaluated from above and below and </span></div><div class="line"><a name="l00300"></a><span class="lineno"> 300</span> <span class="comment"> |K0 - K1| > curvature_tolerance, then a curvature </span></div><div class="line"><a name="l00301"></a><span class="lineno"> 301</span> <span class="comment"> discontinuity is reported.</span></div><div class="line"><a name="l00302"></a><span class="lineno"> 302</span> <span class="comment"> Returns:</span></div><div class="line"><a name="l00303"></a><span class="lineno"> 303</span> <span class="comment"> Parametric continuity tests c = (C0_continuous, ..., G2_continuous):</span></div><div class="line"><a name="l00304"></a><span class="lineno"> 304</span> <span class="comment"></span></div><div class="line"><a name="l00305"></a><span class="lineno"> 305</span> <span class="comment"> true if a parametric discontinuity was found strictly </span></div><div class="line"><a name="l00306"></a><span class="lineno"> 306</span> <span class="comment"> between t0 and t1. Note well that all curves are </span></div><div class="line"><a name="l00307"></a><span class="lineno"> 307</span> <span class="comment"> parametrically continuous at the ends of their domains.</span></div><div class="line"><a name="l00308"></a><span class="lineno"> 308</span> <span class="comment"></span></div><div class="line"><a name="l00309"></a><span class="lineno"> 309</span> <span class="comment"> Locus continuity tests c = (C0_locus_continuous, ...,G2_locus_continuous):</span></div><div class="line"><a name="l00310"></a><span class="lineno"> 310</span> <span class="comment"></span></div><div class="line"><a name="l00311"></a><span class="lineno"> 311</span> <span class="comment"> true if a locus discontinuity was found strictly between</span></div><div class="line"><a name="l00312"></a><span class="lineno"> 312</span> <span class="comment"> t0 and t1 or at t1 is the at the end of a curve.</span></div><div class="line"><a name="l00313"></a><span class="lineno"> 313</span> <span class="comment"> Note well that all open curves (IsClosed()=false) are locus</span></div><div class="line"><a name="l00314"></a><span class="lineno"> 314</span> <span class="comment"> discontinuous at the ends of their domains. All closed </span></div><div class="line"><a name="l00315"></a><span class="lineno"> 315</span> <span class="comment"> curves (IsClosed()=true) are at least C0_locus_continuous at </span></div><div class="line"><a name="l00316"></a><span class="lineno"> 316</span> <span class="comment"> the ends of their domains.</span></div><div class="line"><a name="l00317"></a><span class="lineno"> 317</span> <span class="comment"> */</span></div><div class="line"><a name="l00318"></a><span class="lineno"> 318</span>  <span class="keywordtype">bool</span> <a class="code" href="../../da/da0/class_o_n___surface.html#a51d481385216963fadeb2b035f85e91d">GetNextDiscontinuity</a>( </div><div class="line"><a name="l00319"></a><span class="lineno"> 319</span>  <span class="keywordtype">int</span> dir,</div><div class="line"><a name="l00320"></a><span class="lineno"> 320</span>  ON::continuity c,</div><div class="line"><a name="l00321"></a><span class="lineno"> 321</span>  <span class="keywordtype">double</span> t0,</div><div class="line"><a name="l00322"></a><span class="lineno"> 322</span>  <span class="keywordtype">double</span> t1,</div><div class="line"><a name="l00323"></a><span class="lineno"> 323</span>  <span class="keywordtype">double</span>* t,</div><div class="line"><a name="l00324"></a><span class="lineno"> 324</span>  <span class="keywordtype">int</span>* hint=<span class="keyword">nullptr</span>,</div><div class="line"><a name="l00325"></a><span class="lineno"> 325</span>  <span class="keywordtype">int</span>* dtype=<span class="keyword">nullptr</span>,</div><div class="line"><a name="l00326"></a><span class="lineno"> 326</span>  <span class="keywordtype">double</span> cos_angle_tolerance=ON_DEFAULT_ANGLE_TOLERANCE_COSINE,</div><div class="line"><a name="l00327"></a><span class="lineno"> 327</span>  <span class="keywordtype">double</span> curvature_tolerance=ON_SQRT_EPSILON</div><div class="line"><a name="l00328"></a><span class="lineno"> 328</span>  ) <span class="keyword">const override</span>;</div><div class="line"><a name="l00329"></a><span class="lineno"> 329</span> </div><div class="line"><a name="l00330"></a><span class="lineno"> 330</span> <span class="comment">/*</span></div><div class="line"><a name="l00331"></a><span class="lineno"> 331</span> <span class="comment"> Description:</span></div><div class="line"><a name="l00332"></a><span class="lineno"> 332</span> <span class="comment"> Test continuity at a surface parameter value.</span></div><div class="line"><a name="l00333"></a><span class="lineno"> 333</span> <span class="comment"> Parameters:</span></div><div class="line"><a name="l00334"></a><span class="lineno"> 334</span> <span class="comment"> c - [in] continuity to test for</span></div><div class="line"><a name="l00335"></a><span class="lineno"> 335</span> <span class="comment"> s - [in] surface parameter to test</span></div><div class="line"><a name="l00336"></a><span class="lineno"> 336</span> <span class="comment"> t - [in] surface parameter to test</span></div><div class="line"><a name="l00337"></a><span class="lineno"> 337</span> <span class="comment"> hint - [in] evaluation hint</span></div><div class="line"><a name="l00338"></a><span class="lineno"> 338</span> <span class="comment"> point_tolerance - [in] if the distance between two points is</span></div><div class="line"><a name="l00339"></a><span class="lineno"> 339</span> <span class="comment"> greater than point_tolerance, then the surface is not C0.</span></div><div class="line"><a name="l00340"></a><span class="lineno"> 340</span> <span class="comment"> d1_tolerance - [in] if the difference between two first derivatives is</span></div><div class="line"><a name="l00341"></a><span class="lineno"> 341</span> <span class="comment"> greater than d1_tolerance, then the surface is not C1.</span></div><div class="line"><a name="l00342"></a><span class="lineno"> 342</span> <span class="comment"> d2_tolerance - [in] if the difference between two second derivatives is</span></div><div class="line"><a name="l00343"></a><span class="lineno"> 343</span> <span class="comment"> greater than d2_tolerance, then the surface is not C2.</span></div><div class="line"><a name="l00344"></a><span class="lineno"> 344</span> <span class="comment"> cos_angle_tolerance - [in] default = cos(1 degree) Used only when</span></div><div class="line"><a name="l00345"></a><span class="lineno"> 345</span> <span class="comment"> c is ON::continuity::G1_continuous or ON::continuity::G2_continuous. If the cosine</span></div><div class="line"><a name="l00346"></a><span class="lineno"> 346</span> <span class="comment"> of the angle between two normal vectors </span></div><div class="line"><a name="l00347"></a><span class="lineno"> 347</span> <span class="comment"> is <= cos_angle_tolerance, then a G1 discontinuity is reported.</span></div><div class="line"><a name="l00348"></a><span class="lineno"> 348</span> <span class="comment"> curvature_tolerance - [in] (default = ON_SQRT_EPSILON) Used only when</span></div><div class="line"><a name="l00349"></a><span class="lineno"> 349</span> <span class="comment"> c is ON::continuity::G2_continuous. If K0 and K1 are curvatures evaluated</span></div><div class="line"><a name="l00350"></a><span class="lineno"> 350</span> <span class="comment"> from above and below and |K0 - K1| > curvature_tolerance,</span></div><div class="line"><a name="l00351"></a><span class="lineno"> 351</span> <span class="comment"> then a curvature discontinuity is reported.</span></div><div class="line"><a name="l00352"></a><span class="lineno"> 352</span> <span class="comment"> Returns:</span></div><div class="line"><a name="l00353"></a><span class="lineno"> 353</span> <span class="comment"> true if the surface has at least the c type continuity at the parameter t.</span></div><div class="line"><a name="l00354"></a><span class="lineno"> 354</span> <span class="comment"> Remarks:</span></div><div class="line"><a name="l00355"></a><span class="lineno"> 355</span> <span class="comment"> Overrides virtual ON_Surface::IsContinuous</span></div><div class="line"><a name="l00356"></a><span class="lineno"> 356</span> <span class="comment"> */</span></div><div class="line"><a name="l00357"></a><span class="lineno"> 357</span>  <span class="keywordtype">bool</span> <a class="code" href="../../da/da0/class_o_n___surface.html#a5d3ac3b32555c7213b1c2b25705f3d47">IsContinuous</a>(</div><div class="line"><a name="l00358"></a><span class="lineno"> 358</span>  ON::continuity c,</div><div class="line"><a name="l00359"></a><span class="lineno"> 359</span>  <span class="keywordtype">double</span> s, </div><div class="line"><a name="l00360"></a><span class="lineno"> 360</span>  <span class="keywordtype">double</span> t, </div><div class="line"><a name="l00361"></a><span class="lineno"> 361</span>  <span class="keywordtype">int</span>* hint = <span class="keyword">nullptr</span>,</div><div class="line"><a name="l00362"></a><span class="lineno"> 362</span>  <span class="keywordtype">double</span> point_tolerance=ON_ZERO_TOLERANCE,</div><div class="line"><a name="l00363"></a><span class="lineno"> 363</span>  <span class="keywordtype">double</span> d1_tolerance=ON_ZERO_TOLERANCE,</div><div class="line"><a name="l00364"></a><span class="lineno"> 364</span>  <span class="keywordtype">double</span> d2_tolerance=ON_ZERO_TOLERANCE,</div><div class="line"><a name="l00365"></a><span class="lineno"> 365</span>  <span class="keywordtype">double</span> cos_angle_tolerance=ON_DEFAULT_ANGLE_TOLERANCE_COSINE,</div><div class="line"><a name="l00366"></a><span class="lineno"> 366</span>  <span class="keywordtype">double</span> curvature_tolerance=ON_SQRT_EPSILON</div><div class="line"><a name="l00367"></a><span class="lineno"> 367</span>  ) <span class="keyword">const override</span>;</div><div class="line"><a name="l00368"></a><span class="lineno"> 368</span> </div><div class="line"><a name="l00369"></a><span class="lineno"> 369</span>  <span class="keywordtype">bool</span> <a class="code" href="../../da/da0/class_o_n___surface.html#a42238365821cec5dfd38785a2a196404">Reverse</a>( <span class="comment">// reverse parameterizatrion, Domain changes from [a,b] to [-b,-a]</span></div><div class="line"><a name="l00370"></a><span class="lineno"> 370</span>  <span class="keywordtype">int</span> <span class="comment">// dir 0 = "s", 1 = "t"</span></div><div class="line"><a name="l00371"></a><span class="lineno"> 371</span>  ) <span class="keyword">override</span>;</div><div class="line"><a name="l00372"></a><span class="lineno"> 372</span> </div><div class="line"><a name="l00373"></a><span class="lineno"> 373</span>  <span class="keywordtype">bool</span> <a class="code" href="../../da/da0/class_o_n___surface.html#a6c02248d5c3280246e2732a14d84ca58">Transpose</a>() <span class="keyword">override</span>; <span class="comment">// transpose surface parameterization (swap "s" and "t")</span></div><div class="line"><a name="l00374"></a><span class="lineno"> 374</span> </div><div class="line"><a name="l00375"></a><span class="lineno"> 375</span>  <span class="keywordtype">bool</span> <a class="code" href="../../da/da0/class_o_n___surface.html#a136dfc12c71af401bc90f2f5e87186f1">Evaluate</a>( <span class="comment">// returns false if unable to evaluate</span></div><div class="line"><a name="l00376"></a><span class="lineno"> 376</span>  <span class="keywordtype">double</span>, <span class="keywordtype">double</span>, <span class="comment">// evaluation parameters (see m_bTransposed)</span></div><div class="line"><a name="l00377"></a><span class="lineno"> 377</span>  <span class="keywordtype">int</span>, <span class="comment">// number of derivatives (>=0)</span></div><div class="line"><a name="l00378"></a><span class="lineno"> 378</span>  <span class="keywordtype">int</span>, <span class="comment">// array stride (>=Dimension())</span></div><div class="line"><a name="l00379"></a><span class="lineno"> 379</span>  <span class="keywordtype">double</span>*, <span class="comment">// array of length stride*(ndir+1)*(ndir+2)/2</span></div><div class="line"><a name="l00380"></a><span class="lineno"> 380</span>  <span class="keywordtype">int</span> = 0, <span class="comment">// optional - determines which quadrant to evaluate from</span></div><div class="line"><a name="l00381"></a><span class="lineno"> 381</span>  <span class="comment">// 0 = default</span></div><div class="line"><a name="l00382"></a><span class="lineno"> 382</span>  <span class="comment">// 1 from NE quadrant</span></div><div class="line"><a name="l00383"></a><span class="lineno"> 383</span>  <span class="comment">// 2 from NW quadrant</span></div><div class="line"><a name="l00384"></a><span class="lineno"> 384</span>  <span class="comment">// 3 from SW quadrant</span></div><div class="line"><a name="l00385"></a><span class="lineno"> 385</span>  <span class="comment">// 4 from SE quadrant</span></div><div class="line"><a name="l00386"></a><span class="lineno"> 386</span>  <span class="keywordtype">int</span>* = 0 <span class="comment">// optional - evaluation hint (int[2]) used to speed</span></div><div class="line"><a name="l00387"></a><span class="lineno"> 387</span>  <span class="comment">// repeated evaluations</span></div><div class="line"><a name="l00388"></a><span class="lineno"> 388</span>  ) <span class="keyword">const override</span>;</div><div class="line"><a name="l00389"></a><span class="lineno"> 389</span> </div><div class="line"><a name="l00390"></a><span class="lineno"> 390</span>  <span class="comment">/*</span></div><div class="line"><a name="l00391"></a><span class="lineno"> 391</span> <span class="comment"> Description:</span></div><div class="line"><a name="l00392"></a><span class="lineno"> 392</span> <span class="comment"> Get isoparametric curve.</span></div><div class="line"><a name="l00393"></a><span class="lineno"> 393</span> <span class="comment"> Overrides virtual ON_Surface::IsoCurve.</span></div><div class="line"><a name="l00394"></a><span class="lineno"> 394</span> <span class="comment"> Parameters:</span></div><div class="line"><a name="l00395"></a><span class="lineno"> 395</span> <span class="comment"> dir - [in] 0 first parameter varies and second parameter is constant</span></div><div class="line"><a name="l00396"></a><span class="lineno"> 396</span> <span class="comment"> e.g., point on IsoCurve(0,c) at t is srf(t,c)</span></div><div class="line"><a name="l00397"></a><span class="lineno"> 397</span> <span class="comment"> 1 first parameter is constant and second parameter varies</span></div><div class="line"><a name="l00398"></a><span class="lineno"> 398</span> <span class="comment"> e.g., point on IsoCurve(1,c) at t is srf(c,t)</span></div><div class="line"><a name="l00399"></a><span class="lineno"> 399</span> <span class="comment"></span></div><div class="line"><a name="l00400"></a><span class="lineno"> 400</span> <span class="comment"> c - [in] value of constant parameter </span></div><div class="line"><a name="l00401"></a><span class="lineno"> 401</span> <span class="comment"> Returns:</span></div><div class="line"><a name="l00402"></a><span class="lineno"> 402</span> <span class="comment"> Isoparametric curve.</span></div><div class="line"><a name="l00403"></a><span class="lineno"> 403</span> <span class="comment"> */</span></div><div class="line"><a name="l00404"></a><span class="lineno"> 404</span>  <a class="code" href="../../d4/d5a/class_o_n___curve.html">ON_Curve</a>* <a class="code" href="../../da/da0/class_o_n___surface.html#a91faf7314053e7ebb3ebf12663647f5a">IsoCurve</a>(</div><div class="line"><a name="l00405"></a><span class="lineno"> 405</span>  <span class="keywordtype">int</span> dir,</div><div class="line"><a name="l00406"></a><span class="lineno"> 406</span>  <span class="keywordtype">double</span> c</div><div class="line"><a name="l00407"></a><span class="lineno"> 407</span>  ) <span class="keyword">const override</span>;</div><div class="line"><a name="l00408"></a><span class="lineno"> 408</span> </div><div class="line"><a name="l00409"></a><span class="lineno"> 409</span>  <span class="comment">/*</span></div><div class="line"><a name="l00410"></a><span class="lineno"> 410</span> <span class="comment"> Description:</span></div><div class="line"><a name="l00411"></a><span class="lineno"> 411</span> <span class="comment"> Removes the portions of the surface outside of the specified interval.</span></div><div class="line"><a name="l00412"></a><span class="lineno"> 412</span> <span class="comment"></span></div><div class="line"><a name="l00413"></a><span class="lineno"> 413</span> <span class="comment"> Parameters:</span></div><div class="line"><a name="l00414"></a><span class="lineno"> 414</span> <span class="comment"> dir - [in] 0 The domain specifies an sub-interval of Domain(0)</span></div><div class="line"><a name="l00415"></a><span class="lineno"> 415</span> <span class="comment"> (the first surface parameter).</span></div><div class="line"><a name="l00416"></a><span class="lineno"> 416</span> <span class="comment"> 1 The domain specifies an sub-interval of Domain(1)</span></div><div class="line"><a name="l00417"></a><span class="lineno"> 417</span> <span class="comment"> (the second surface parameter).</span></div><div class="line"><a name="l00418"></a><span class="lineno"> 418</span> <span class="comment"> domain - [in] interval of the surface to keep. If dir is 0, then</span></div><div class="line"><a name="l00419"></a><span class="lineno"> 419</span> <span class="comment"> the portions of the surface with parameters (s,t) satisfying</span></div><div class="line"><a name="l00420"></a><span class="lineno"> 420</span> <span class="comment"> s < Domain(0).Min() or s > Domain(0).Max() are trimmed away.</span></div><div class="line"><a name="l00421"></a><span class="lineno"> 421</span> <span class="comment"> If dir is 1, then the portions of the surface with parameters</span></div><div class="line"><a name="l00422"></a><span class="lineno"> 422</span> <span class="comment"> (s,t) satisfying t < Domain(1).Min() or t > Domain(1).Max() </span></div><div class="line"><a name="l00423"></a><span class="lineno"> 423</span> <span class="comment"> are trimmed away.</span></div><div class="line"><a name="l00424"></a><span class="lineno"> 424</span> <span class="comment"> */</span></div><div class="line"><a name="l00425"></a><span class="lineno"> 425</span>  <span class="keywordtype">bool</span> <a class="code" href="../../da/da0/class_o_n___surface.html#ab88b3c29cccf29717a83ee349e2d85d7">Trim</a>(</div><div class="line"><a name="l00426"></a><span class="lineno"> 426</span>  <span class="keywordtype">int</span> dir,</div><div class="line"><a name="l00427"></a><span class="lineno"> 427</span>  <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="l00428"></a><span class="lineno"> 428</span>  ) <span class="keyword">override</span>;</div><div class="line"><a name="l00429"></a><span class="lineno"> 429</span> </div><div class="line"><a name="l00430"></a><span class="lineno"> 430</span>  <span class="comment">/*</span></div><div class="line"><a name="l00431"></a><span class="lineno"> 431</span> <span class="comment"> Description:</span></div><div class="line"><a name="l00432"></a><span class="lineno"> 432</span> <span class="comment"> Where possible, analytically extends surface to include domain.</span></div><div class="line"><a name="l00433"></a><span class="lineno"> 433</span> <span class="comment"> Parameters:</span></div><div class="line"><a name="l00434"></a><span class="lineno"> 434</span> <span class="comment"> dir - [in] 0 new Domain(0) will include domain.</span></div><div class="line"><a name="l00435"></a><span class="lineno"> 435</span> <span class="comment"> (the first surface parameter).</span></div><div class="line"><a name="l00436"></a><span class="lineno"> 436</span> <span class="comment"> 1 new Domain(1) will include domain.</span></div><div class="line"><a name="l00437"></a><span class="lineno"> 437</span> <span class="comment"> (the second surface parameter).</span></div><div class="line"><a name="l00438"></a><span class="lineno"> 438</span> <span class="comment"> domain - [in] if domain is not included in surface domain, </span></div><div class="line"><a name="l00439"></a><span class="lineno"> 439</span> <span class="comment"> surface will be extended so that its domain includes domain. </span></div><div class="line"><a name="l00440"></a><span class="lineno"> 440</span> <span class="comment"> Will not work if surface is closed in direction dir. </span></div><div class="line"><a name="l00441"></a><span class="lineno"> 441</span> <span class="comment"> Original surface is identical to the restriction of the</span></div><div class="line"><a name="l00442"></a><span class="lineno"> 442</span> <span class="comment"> resulting surface to the original surface domain, </span></div><div class="line"><a name="l00443"></a><span class="lineno"> 443</span> <span class="comment"> Returns:</span></div><div class="line"><a name="l00444"></a><span class="lineno"> 444</span> <span class="comment"> true if successful.</span></div><div class="line"><a name="l00445"></a><span class="lineno"> 445</span> <span class="comment"> */</span></div><div class="line"><a name="l00446"></a><span class="lineno"> 446</span>  <span class="keywordtype">bool</span> <a class="code" href="../../da/da0/class_o_n___surface.html#a9242e8a46e876db63423ce7d6f3f1ef8">Extend</a>(</div><div class="line"><a name="l00447"></a><span class="lineno"> 447</span>  <span class="keywordtype">int</span> dir,</div><div class="line"><a name="l00448"></a><span class="lineno"> 448</span>  <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="l00449"></a><span class="lineno"> 449</span>  ) <span class="keyword">override</span>;</div><div class="line"><a name="l00450"></a><span class="lineno"> 450</span> </div><div class="line"><a name="l00451"></a><span class="lineno"> 451</span>  <span class="comment">/*</span></div><div class="line"><a name="l00452"></a><span class="lineno"> 452</span> <span class="comment"> Description:</span></div><div class="line"><a name="l00453"></a><span class="lineno"> 453</span> <span class="comment"> Splits (divides) the surface into two parts at the </span></div><div class="line"><a name="l00454"></a><span class="lineno"> 454</span> <span class="comment"> specified parameter.</span></div><div class="line"><a name="l00455"></a><span class="lineno"> 455</span> <span class="comment"></span></div><div class="line"><a name="l00456"></a><span class="lineno"> 456</span> <span class="comment"> Parameters:</span></div><div class="line"><a name="l00457"></a><span class="lineno"> 457</span> <span class="comment"> dir - [in] 0 The surface is split vertically. The "west" side</span></div><div class="line"><a name="l00458"></a><span class="lineno"> 458</span> <span class="comment"> is returned in "west_or_south_side" and the "east"</span></div><div class="line"><a name="l00459"></a><span class="lineno"> 459</span> <span class="comment"> side is returned in "east_or_north_side".</span></div><div class="line"><a name="l00460"></a><span class="lineno"> 460</span> <span class="comment"> 1 The surface is split horizontally. The "south" side</span></div><div class="line"><a name="l00461"></a><span class="lineno"> 461</span> <span class="comment"> is returned in "west_or_south_side" and the "north"</span></div><div class="line"><a name="l00462"></a><span class="lineno"> 462</span> <span class="comment"> side is returned in "east_or_north_side".</span></div><div class="line"><a name="l00463"></a><span class="lineno"> 463</span> <span class="comment"> c - [in] value of constant parameter in interval returned</span></div><div class="line"><a name="l00464"></a><span class="lineno"> 464</span> <span class="comment"> by Domain(dir)</span></div><div class="line"><a name="l00465"></a><span class="lineno"> 465</span> <span class="comment"> west_or_south_side - [out] west/south portion of surface returned here</span></div><div class="line"><a name="l00466"></a><span class="lineno"> 466</span> <span class="comment"> east_or_north_side - [out] east/north portion of surface returned here</span></div><div class="line"><a name="l00467"></a><span class="lineno"> 467</span> <span class="comment"></span></div><div class="line"><a name="l00468"></a><span class="lineno"> 468</span> <span class="comment"> Example:</span></div><div class="line"><a name="l00469"></a><span class="lineno"> 469</span> <span class="comment"></span></div><div class="line"><a name="l00470"></a><span class="lineno"> 470</span> <span class="comment"> ON_NurbsSurface srf = ...;</span></div><div class="line"><a name="l00471"></a><span class="lineno"> 471</span> <span class="comment"> int dir = 1;</span></div><div class="line"><a name="l00472"></a><span class="lineno"> 472</span> <span class="comment"> ON_RevSurface* south_side = 0;</span></div><div class="line"><a name="l00473"></a><span class="lineno"> 473</span> <span class="comment"> ON_RevSurface* north_side = 0;</span></div><div class="line"><a name="l00474"></a><span class="lineno"> 474</span> <span class="comment"> srf.Split( dir, srf.Domain(dir).Mid() south_side, north_side );</span></div><div class="line"><a name="l00475"></a><span class="lineno"> 475</span> <span class="comment"></span></div><div class="line"><a name="l00476"></a><span class="lineno"> 476</span> <span class="comment"> */</span></div><div class="line"><a name="l00477"></a><span class="lineno"> 477</span>  <span class="keywordtype">bool</span> <a class="code" href="../../da/da0/class_o_n___surface.html#a7aa8df2f579c5547324a42f284bcbc6c">Split</a>(</div><div class="line"><a name="l00478"></a><span class="lineno"> 478</span>  <span class="keywordtype">int</span> dir,</div><div class="line"><a name="l00479"></a><span class="lineno"> 479</span>  <span class="keywordtype">double</span> c,</div><div class="line"><a name="l00480"></a><span class="lineno"> 480</span>  <a class="code" href="../../da/da0/class_o_n___surface.html">ON_Surface</a>*& west_or_south_side,</div><div class="line"><a name="l00481"></a><span class="lineno"> 481</span>  <a class="code" href="../../da/da0/class_o_n___surface.html">ON_Surface</a>*& east_or_north_side</div><div class="line"><a name="l00482"></a><span class="lineno"> 482</span>  ) <span class="keyword">const override</span>;</div><div class="line"><a name="l00483"></a><span class="lineno"> 483</span> </div><div class="line"><a name="l00484"></a><span class="lineno"> 484</span> </div><div class="line"><a name="l00485"></a><span class="lineno"> 485</span>  <span class="keywordtype">int</span> <a class="code" href="../../da/da0/class_o_n___surface.html#a4c4be57a220937dbf697548f3505a693">GetNurbForm</a>( <span class="comment">// returns 0: unable to create NURBS representation</span></div><div class="line"><a name="l00486"></a><span class="lineno"> 486</span>  <span class="comment">// with desired accuracy.</span></div><div class="line"><a name="l00487"></a><span class="lineno"> 487</span>  <span class="comment">// 1: success - returned NURBS parameterization</span></div><div class="line"><a name="l00488"></a><span class="lineno"> 488</span>  <span class="comment">// matches the surface's to wthe desired accuracy</span></div><div class="line"><a name="l00489"></a><span class="lineno"> 489</span>  <span class="comment">// 2: success - returned NURBS point locus matches</span></div><div class="line"><a name="l00490"></a><span class="lineno"> 490</span>  <span class="comment">// the surfaces's to the desired accuracy but, on</span></div><div class="line"><a name="l00491"></a><span class="lineno"> 491</span>  <span class="comment">// the interior of the surface's domain, the </span></div><div class="line"><a name="l00492"></a><span class="lineno"> 492</span>  <span class="comment">// surface's parameterization and the NURBS</span></div><div class="line"><a name="l00493"></a><span class="lineno"> 493</span>  <span class="comment">// parameterization may not match to the </span></div><div class="line"><a name="l00494"></a><span class="lineno"> 494</span>  <span class="comment">// desired accuracy.</span></div><div class="line"><a name="l00495"></a><span class="lineno"> 495</span>  <a class="code" href="../../de/ddc/class_o_n___nurbs_surface.html">ON_NurbsSurface</a>&,</div><div class="line"><a name="l00496"></a><span class="lineno"> 496</span>  <span class="keywordtype">double</span> = 0.0</div><div class="line"><a name="l00497"></a><span class="lineno"> 497</span>  ) <span class="keyword">const override</span>;</div><div class="line"><a name="l00498"></a><span class="lineno"> 498</span> </div><div class="line"><a name="l00499"></a><span class="lineno"> 499</span>  <span class="keywordtype">int</span> <a class="code" href="../../da/da0/class_o_n___surface.html#a032695e1c765ace3b5b9888d746b49f7">HasNurbForm</a>( <span class="comment">// returns 0: unable to create NURBS representation</span></div><div class="line"><a name="l00500"></a><span class="lineno"> 500</span>  <span class="comment">// with desired accuracy.</span></div><div class="line"><a name="l00501"></a><span class="lineno"> 501</span>  <span class="comment">// 1: success - returned NURBS parameterization</span></div><div class="line"><a name="l00502"></a><span class="lineno"> 502</span>  <span class="comment">// matches the surface's to wthe desired accuracy</span></div><div class="line"><a name="l00503"></a><span class="lineno"> 503</span>  <span class="comment">// 2: success - returned NURBS point locus matches</span></div><div class="line"><a name="l00504"></a><span class="lineno"> 504</span>  <span class="comment">// the surfaces's to the desired accuracy but, on</span></div><div class="line"><a name="l00505"></a><span class="lineno"> 505</span>  <span class="comment">// the interior of the surface's domain, the </span></div><div class="line"><a name="l00506"></a><span class="lineno"> 506</span>  <span class="comment">// surface's parameterization and the NURBS</span></div><div class="line"><a name="l00507"></a><span class="lineno"> 507</span>  <span class="comment">// parameterization may not match to the </span></div><div class="line"><a name="l00508"></a><span class="lineno"> 508</span>  <span class="comment">// desired accuracy.</span></div><div class="line"><a name="l00509"></a><span class="lineno"> 509</span>  ) <span class="keyword">const override</span>;</div><div class="line"><a name="l00510"></a><span class="lineno"> 510</span> </div><div class="line"><a name="l00511"></a><span class="lineno"> 511</span>  <span class="keywordtype">bool</span> <a class="code" href="../../da/da0/class_o_n___surface.html#aafce544c2cced9832d8210dd78fc4878">GetSurfaceParameterFromNurbFormParameter</a>(</div><div class="line"><a name="l00512"></a><span class="lineno"> 512</span>  <span class="keywordtype">double</span> nurbs_s, <span class="keywordtype">double</span> nurbs_t,</div><div class="line"><a name="l00513"></a><span class="lineno"> 513</span>  <span class="keywordtype">double</span>* surface_s, <span class="keywordtype">double</span>* surface_t</div><div class="line"><a name="l00514"></a><span class="lineno"> 514</span>  ) <span class="keyword">const override</span>;</div><div class="line"><a name="l00515"></a><span class="lineno"> 515</span> </div><div class="line"><a name="l00516"></a><span class="lineno"> 516</span>  <span class="keywordtype">bool</span> <a class="code" href="../../da/da0/class_o_n___surface.html#abe2d9cf149007d0eb444525254a2eacc">GetNurbFormParameterFromSurfaceParameter</a>(</div><div class="line"><a name="l00517"></a><span class="lineno"> 517</span>  <span class="keywordtype">double</span> surface_s, <span class="keywordtype">double</span> surface_t,</div><div class="line"><a name="l00518"></a><span class="lineno"> 518</span>  <span class="keywordtype">double</span>* nurbs_s, <span class="keywordtype">double</span>* nurbs_t</div><div class="line"><a name="l00519"></a><span class="lineno"> 519</span>  ) <span class="keyword">const override</span>;</div><div class="line"><a name="l00520"></a><span class="lineno"> 520</span> };</div><div class="line"><a name="l00521"></a><span class="lineno"> 521</span> </div><div class="line"><a name="l00522"></a><span class="lineno"> 522</span> <span class="preprocessor">#endif</span></div><div class="ttc" id="class_o_n___surface_html_a6c02248d5c3280246e2732a14d84ca58"><div class="ttname"><a href="../../da/da0/class_o_n___surface.html#a6c02248d5c3280246e2732a14d84ca58">ON_Surface::Transpose</a></div><div class="ttdeci">virtual bool Transpose()=0</div><div class="ttdoc">transpose surface parameterization (swap "s" and "t") </div></div>
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<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 &xform)</div></div>
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<div class="ttc" id="class_o_n___surface_html_a8ef48a6603b29fd617456581a073d544"><div class="ttname"><a href="../../da/da0/class_o_n___surface.html#a8ef48a6603b29fd617456581a073d544">ON_Surface::IsClosed</a></div><div class="ttdeci">virtual bool IsClosed(int) const</div></div>
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<div class="ttc" id="class_o_n___rev_surface_html_ac73cf6b7bcf7ff6bf64a59b5765d44c0"><div class="ttname"><a href="../../d1/d37/class_o_n___rev_surface.html#ac73cf6b7bcf7ff6bf64a59b5765d44c0">ON_RevSurface::m_bTransposed</a></div><div class="ttdeci">bool m_bTransposed</div><div class="ttdef"><b>Definition:</b> opennurbs_revsurface.h:56</div></div>
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<div class="ttc" id="class_o_n___surface_html_a809b19c6594c924289e15c25f2b37573"><div class="ttname"><a href="../../da/da0/class_o_n___surface.html#a809b19c6594c924289e15c25f2b37573">ON_Surface::SetDomain</a></div><div class="ttdeci">bool SetDomain(int dir, ON_Interval domain)</div></div>
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<div class="ttc" id="class_o_n___surface_html_a762f6ef1b3f3ca34753be6dce8afdc2d"><div class="ttname"><a href="../../da/da0/class_o_n___surface.html#a762f6ef1b3f3ca34753be6dce8afdc2d">ON_Surface::operator=</a></div><div class="ttdeci">ON_Surface & operator=(const ON_Surface &)</div></div>
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<div class="ttc" id="class_o_n___surface_html_a81785cd872ac150e058af4a8c80feab1"><div class="ttname"><a href="../../da/da0/class_o_n___surface.html#a81785cd872ac150e058af4a8c80feab1">ON_Surface::IsPeriodic</a></div><div class="ttdeci">virtual bool IsPeriodic(int) const</div></div>
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<div class="ttc" id="class_o_n___geometry_html_a0d66ab16e2fddfd1b3e6cf3d6ebbd364"><div class="ttname"><a href="../../df/de0/class_o_n___geometry.html#a0d66ab16e2fddfd1b3e6cf3d6ebbd364">ON_Geometry::Dimension</a></div><div class="ttdeci">virtual int Dimension() const</div></div>
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<div class="ttc" id="class_o_n___surface_html_a4c4be57a220937dbf697548f3505a693"><div class="ttname"><a href="../../da/da0/class_o_n___surface.html#a4c4be57a220937dbf697548f3505a693">ON_Surface::GetNurbForm</a></div><div class="ttdeci">virtual int GetNurbForm(ON_NurbsSurface &nurbs_surface, double tolerance=0.0) const</div></div>
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<div class="ttc" id="class_o_n___nurbs_surface_html"><div class="ttname"><a href="../../de/ddc/class_o_n___nurbs_surface.html">ON_NurbsSurface</a></div><div class="ttdef"><b>Definition:</b> opennurbs_nurbssurface.h:62</div></div>
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<div class="ttc" id="class_o_n___rev_surface_html_a8d35dda9d9f673831a862284921cf2a2"><div class="ttname"><a href="../../d1/d37/class_o_n___rev_surface.html#a8d35dda9d9f673831a862284921cf2a2">ON_RevSurface::m_curve</a></div><div class="ttdeci">ON_Curve * m_curve</div><div class="ttdef"><b>Definition:</b> opennurbs_revsurface.h:32</div></div>
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<div class="ttc" id="class_o_n___geometry_html_ad615e08fe92af659c8d10cbb4f8fc5e3"><div class="ttname"><a href="../../df/de0/class_o_n___geometry.html#ad615e08fe92af659c8d10cbb4f8fc5e3">ON_Geometry::GetBBox</a></div><div class="ttdeci">virtual bool GetBBox(double *boxmin, double *boxmax, bool bGrowBox=false) const</div></div>
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<div class="ttc" id="class_o_n___cone_html"><div class="ttname"><a href="../../d0/d51/class_o_n___cone.html">ON_Cone</a></div><div class="ttdef"><b>Definition:</b> opennurbs_cone.h:26</div></div>
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<div class="ttc" id="class_o_n___surface_html_a3d851661de5ad899125bc593cb36de72"><div class="ttname"><a href="../../da/da0/class_o_n___surface.html#a3d851661de5ad899125bc593cb36de72">ON_Surface::GetSpanVector</a></div><div class="ttdeci">virtual bool GetSpanVector(int dir, double *span_vector) const =0</div></div>
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<div class="ttc" id="class_o_n___rev_surface_html_a7a7523c38800b8a68ae6ab0bf6fd5237"><div class="ttname"><a href="../../d1/d37/class_o_n___rev_surface.html#a7a7523c38800b8a68ae6ab0bf6fd5237">ON_RevSurface::m_t</a></div><div class="ttdeci">ON_Interval m_t</div><div class="ttdef"><b>Definition:</b> opennurbs_revsurface.h:50</div></div>
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<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="ttdef"><b>Definition:</b> opennurbs_curve.h:91</div></div>
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<div class="ttc" id="class_o_n___surface_html_aafce544c2cced9832d8210dd78fc4878"><div class="ttname"><a href="../../da/da0/class_o_n___surface.html#aafce544c2cced9832d8210dd78fc4878">ON_Surface::GetSurfaceParameterFromNurbFormParameter</a></div><div class="ttdeci">virtual bool GetSurfaceParameterFromNurbFormParameter(double nurbs_s, double nurbs_t, double *surface_s, double *surface_t) const</div></div>
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<div class="ttc" id="class_o_n___cylinder_html"><div class="ttname"><a href="../../d7/de6/class_o_n___cylinder.html">ON_Cylinder</a></div><div class="ttdef"><b>Definition:</b> opennurbs_cylinder.h:28</div></div>
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<div class="ttc" id="class_o_n___surface_html_ae72f5823aecfe07f1fd086a2e1deebc2"><div class="ttname"><a href="../../da/da0/class_o_n___surface.html#ae72f5823aecfe07f1fd086a2e1deebc2">ON_Surface::IsPlanar</a></div><div class="ttdeci">virtual bool IsPlanar(ON_Plane *plane=nullptr, double tolerance=ON_ZERO_TOLERANCE) const</div></div>
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<div class="ttc" id="class_o_n___surface_html_aa38f6584ca9d96a6be9e04823bc5585a"><div class="ttname"><a href="../../da/da0/class_o_n___surface.html#aa38f6584ca9d96a6be9e04823bc5585a">ON_Surface::Domain</a></div><div class="ttdeci">virtual ON_Interval Domain(int dir) const =0</div></div>
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<div class="ttc" id="class_o_n___surface_html_a3c9535e38883dc5a1e2982066b0f0387"><div class="ttname"><a href="../../da/da0/class_o_n___surface.html#a3c9535e38883dc5a1e2982066b0f0387">ON_Surface::Degree</a></div><div class="ttdeci">virtual int Degree(int dir) const =0</div></div>
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<div class="ttc" id="class_o_n___rev_surface_html_a6db4b87e5e2c203bccce4fa912123cbf"><div class="ttname"><a href="../../d1/d37/class_o_n___rev_surface.html#a6db4b87e5e2c203bccce4fa912123cbf">ON_RevSurface::m_angle</a></div><div class="ttdeci">ON_Interval m_angle</div><div class="ttdef"><b>Definition:</b> opennurbs_revsurface.h:40</div></div>
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<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>
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<div class="ttc" id="class_o_n___rev_surface_html_aeb14c56c6cd1a1539d9d0b7b11580e32"><div class="ttname"><a href="../../d1/d37/class_o_n___rev_surface.html#aeb14c56c6cd1a1539d9d0b7b11580e32">ON_RevSurface::m_axis</a></div><div class="ttdeci">ON_Line m_axis</div><div class="ttdoc">Axis of revolution. </div><div class="ttdef"><b>Definition:</b> opennurbs_revsurface.h:35</div></div>
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<div class="ttc" id="class_o_n___surface_html_ac9b0d48e7470d0b6c12bd29ad299f093"><div class="ttname"><a href="../../da/da0/class_o_n___surface.html#ac9b0d48e7470d0b6c12bd29ad299f093">ON_Surface::SpanCount</a></div><div class="ttdeci">virtual int SpanCount(int dir) const =0</div><div class="ttdoc">number of smooth nonempty spans in the parameter direction </div></div>
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<div class="ttc" id="class_o_n___surface_html_abe2d9cf149007d0eb444525254a2eacc"><div class="ttname"><a href="../../da/da0/class_o_n___surface.html#abe2d9cf149007d0eb444525254a2eacc">ON_Surface::GetNurbFormParameterFromSurfaceParameter</a></div><div class="ttdeci">virtual bool GetNurbFormParameterFromSurfaceParameter(double surface_s, double surface_t, double *nurbs_s, double *nurbs_t) const</div></div>
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<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>
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<div class="ttc" id="class_o_n___geometry_html_af8dfbd8534986bbd327a6ad812e374be"><div class="ttname"><a href="../../df/de0/class_o_n___geometry.html#af8dfbd8534986bbd327a6ad812e374be">ON_Geometry::ClearBoundingBox</a></div><div class="ttdeci">virtual void ClearBoundingBox()</div></div>
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<div class="ttc" id="class_o_n___surface_html_a7aa8df2f579c5547324a42f284bcbc6c"><div class="ttname"><a href="../../da/da0/class_o_n___surface.html#a7aa8df2f579c5547324a42f284bcbc6c">ON_Surface::Split</a></div><div class="ttdeci">virtual bool Split(int dir, double c, ON_Surface *&west_or_south_side, ON_Surface *&east_or_north_side) const</div></div>
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<div class="ttc" id="class_o_n___surface_html_ab88b3c29cccf29717a83ee349e2d85d7"><div class="ttname"><a href="../../da/da0/class_o_n___surface.html#ab88b3c29cccf29717a83ee349e2d85d7">ON_Surface::Trim</a></div><div class="ttdeci">virtual bool Trim(int dir, const ON_Interval &domain)</div></div>
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<div class="ttc" id="class_o_n___object_html_a21c7b04a80f1806c3a45f72d7c491a44"><div class="ttname"><a href="../../d9/d7b/class_o_n___object.html#a21c7b04a80f1806c3a45f72d7c491a44">ON_Object::Dump</a></div><div class="ttdeci">virtual void Dump(ON_TextLog &) const</div></div>
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<div class="ttc" id="class_o_n___surface_html_a2f753f161c711fb529aa98649757beee"><div class="ttname"><a href="../../da/da0/class_o_n___surface.html#a2f753f161c711fb529aa98649757beee">ON_Surface::SizeOf</a></div><div class="ttdeci">unsigned int SizeOf() const override</div><div class="ttdoc">virtual ON_Object::SizeOf override </div></div>
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<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>
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<div class="ttc" id="class_o_n___surface_html_acfce039c891be4737a8710462b3336dc"><div class="ttname"><a href="../../da/da0/class_o_n___surface.html#acfce039c891be4737a8710462b3336dc">ON_Surface::DestroyRuntimeCache</a></div><div class="ttdeci">void DestroyRuntimeCache(bool bDelete=true) override</div><div class="ttdoc">virtual ON_Object::DestroyRuntimeCache override </div></div>
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<div class="ttc" id="class_o_n___surface_html_a9242e8a46e876db63423ce7d6f3f1ef8"><div class="ttname"><a href="../../da/da0/class_o_n___surface.html#a9242e8a46e876db63423ce7d6f3f1ef8">ON_Surface::Extend</a></div><div class="ttdeci">virtual bool Extend(int dir, const ON_Interval &domain)</div></div>
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<div class="ttc" id="class_o_n___surface_html_a91faf7314053e7ebb3ebf12663647f5a"><div class="ttname"><a href="../../da/da0/class_o_n___surface.html#a91faf7314053e7ebb3ebf12663647f5a">ON_Surface::IsoCurve</a></div><div class="ttdeci">virtual ON_Curve * IsoCurve(int dir, double c) const</div></div>
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<div class="ttc" id="class_o_n___surface_html_a0e3fc2e55337769949de67ac8f90a195"><div class="ttname"><a href="../../da/da0/class_o_n___surface.html#a0e3fc2e55337769949de67ac8f90a195">ON_Surface::GetParameterTolerance</a></div><div class="ttdeci">virtual bool GetParameterTolerance(int dir, double t, double *tminus, double *tplus) const</div></div>
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<div class="ttc" id="class_o_n___text_log_html"><div class="ttname"><a href="../../d2/da3/class_o_n___text_log.html">ON_TextLog</a></div><div class="ttdef"><b>Definition:</b> opennurbs_textlog.h:20</div></div>
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<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="ttdoc">< use for generic serialization of binary data </div><div class="ttdef"><b>Definition:</b> opennurbs_archive.h:1866</div></div>
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<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 &binary_archive)</div></div>
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<div class="ttc" id="class_o_n___geometry_html_adf87e5ba0d9939dfabbb9f421b9d2b3b"><div class="ttname"><a href="../../df/de0/class_o_n___geometry.html#adf87e5ba0d9939dfabbb9f421b9d2b3b">ON_Geometry::IsValid</a></div><div class="ttdeci">bool IsValid(class ON_TextLog *text_log=nullptr) const override</div></div>
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<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 &binary_archive) const</div></div>
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<div class="ttc" id="class_o_n___object_html_af51d5fcec9379ad9b7a56ac4dfc9a8b2"><div class="ttname"><a href="../../d9/d7b/class_o_n___object.html#af51d5fcec9379ad9b7a56ac4dfc9a8b2">ON_Object::DataCRC</a></div><div class="ttdeci">virtual ON__UINT32 DataCRC(ON__UINT32 current_remainder) const</div></div>
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<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>
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<div class="ttc" id="class_o_n___rev_surface_html"><div class="ttname"><a href="../../d1/d37/class_o_n___rev_surface.html">ON_RevSurface</a></div><div class="ttdoc">surface of revolution </div><div class="ttdef"><b>Definition:</b> opennurbs_revsurface.h:21</div></div>
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<div class="ttc" id="class_o_n___surface_html"><div class="ttname"><a href="../../da/da0/class_o_n___surface.html">ON_Surface</a></div><div class="ttdef"><b>Definition:</b> opennurbs_surface.h:56</div></div>
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<div class="ttc" id="class_o_n___surface_html_a42238365821cec5dfd38785a2a196404"><div class="ttname"><a href="../../da/da0/class_o_n___surface.html#a42238365821cec5dfd38785a2a196404">ON_Surface::Reverse</a></div><div class="ttdeci">virtual bool Reverse(int)=0</div></div>
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<div class="ttc" id="class_o_n___surface_html_ad72300a940e9460fd427fc6235aed9fb"><div class="ttname"><a href="../../da/da0/class_o_n___surface.html#ad72300a940e9460fd427fc6235aed9fb">ON_Surface::IsSingular</a></div><div class="ttdeci">virtual bool IsSingular(int) const</div></div>
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<div class="ttc" id="class_o_n___rev_surface_html_af631cd19a49327e5fd9f2ae4b227ef5a"><div class="ttname"><a href="../../d1/d37/class_o_n___rev_surface.html#af631cd19a49327e5fd9f2ae4b227ef5a">ON_RevSurface::m_bbox</a></div><div class="ttdeci">ON_BoundingBox m_bbox</div><div class="ttdoc">Bounding box of the surface of revolution. </div><div class="ttdef"><b>Definition:</b> opennurbs_revsurface.h:59</div></div>
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<div class="ttc" id="class_o_n___surface_html_a92b4795bd65f16952895c05319c75128"><div class="ttname"><a href="../../da/da0/class_o_n___surface.html#a92b4795bd65f16952895c05319c75128">ON_Surface::GetSurfaceSize</a></div><div class="ttdeci">virtual bool GetSurfaceSize(double *width, double *height) const</div></div>
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<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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<div class="ttc" id="class_o_n___surface_html_a032695e1c765ace3b5b9888d746b49f7"><div class="ttname"><a href="../../da/da0/class_o_n___surface.html#a032695e1c765ace3b5b9888d746b49f7">ON_Surface::HasNurbForm</a></div><div class="ttdeci">virtual int HasNurbForm() const</div></div>
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<div class="ttc" id="class_o_n___sphere_html"><div class="ttname"><a href="../../d7/dd8/class_o_n___sphere.html">ON_Sphere</a></div><div class="ttdef"><b>Definition:</b> opennurbs_sphere.h:22</div></div>
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<div class="ttc" id="class_o_n___surface_html_a136dfc12c71af401bc90f2f5e87186f1"><div class="ttname"><a href="../../da/da0/class_o_n___surface.html#a136dfc12c71af401bc90f2f5e87186f1">ON_Surface::Evaluate</a></div><div class="ttdeci">virtual bool Evaluate(double u, double v, int num_der, int array_stride, double *der_array, int quadrant=0, int *hint=0) const =0</div><div class="ttdoc">work horse evaluator </div></div>
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<div class="ttc" id="class_o_n___surface_html_a51d481385216963fadeb2b035f85e91d"><div class="ttname"><a href="../../da/da0/class_o_n___surface.html#a51d481385216963fadeb2b035f85e91d">ON_Surface::GetNextDiscontinuity</a></div><div class="ttdeci">virtual bool GetNextDiscontinuity(int dir, ON::continuity c, double t0, double t1, double *t, int *hint=nullptr, int *dtype=nullptr, double cos_angle_tolerance=ON_DEFAULT_ANGLE_TOLERANCE_COSINE, double curvature_tolerance=ON_SQRT_EPSILON) const</div></div>
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<div class="ttc" id="class_o_n___surface_html_a5d3ac3b32555c7213b1c2b25705f3d47"><div class="ttname"><a href="../../da/da0/class_o_n___surface.html#a5d3ac3b32555c7213b1c2b25705f3d47">ON_Surface::IsContinuous</a></div><div class="ttdeci">virtual bool IsContinuous(ON::continuity c, double s, double t, int *hint=nullptr, double point_tolerance=ON_ZERO_TOLERANCE, double d1_tolerance=ON_ZERO_TOLERANCE, double d2_tolerance=ON_ZERO_TOLERANCE, double cos_angle_tolerance=ON_DEFAULT_ANGLE_TOLERANCE_COSINE, double curvature_tolerance=ON_SQRT_EPSILON) const</div></div>
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