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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span>&#160;<span class="comment">/* $NoKeywords: $ */</span></div><div class="line"><a name="l00002"></a><span class="lineno"> 2</span>&#160;<span class="comment">/*</span></div><div class="line"><a name="l00003"></a><span class="lineno"> 3</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00004"></a><span class="lineno"> 4</span>&#160;<span class="comment">// Copyright (c) 1993-2012 Robert McNeel &amp; Associates. All rights reserved.</span></div><div class="line"><a name="l00005"></a><span class="lineno"> 5</span>&#160;<span class="comment">// OpenNURBS, Rhinoceros, and Rhino3D are registered trademarks of Robert</span></div><div class="line"><a name="l00006"></a><span class="lineno"> 6</span>&#160;<span class="comment">// McNeel &amp; Associates.</span></div><div class="line"><a name="l00007"></a><span class="lineno"> 7</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00008"></a><span class="lineno"> 8</span>&#160;<span class="comment">// THIS SOFTWARE IS PROVIDED &quot;AS IS&quot; WITHOUT EXPRESS OR IMPLIED WARRANTY.</span></div><div class="line"><a name="l00009"></a><span class="lineno"> 9</span>&#160;<span class="comment">// ALL IMPLIED WARRANTIES OF FITNESS FOR ANY PARTICULAR PURPOSE AND OF</span></div><div class="line"><a name="l00010"></a><span class="lineno"> 10</span>&#160;<span class="comment">// MERCHANTABILITY ARE HEREBY DISCLAIMED.</span></div><div class="line"><a name="l00011"></a><span class="lineno"> 11</span>&#160;<span class="comment">// </span></div><div class="line"><a name="l00012"></a><span class="lineno"> 12</span>&#160;<span class="comment">// For complete openNURBS copyright information see &lt;http://www.opennurbs.org&gt;.</span></div><div class="line"><a name="l00013"></a><span class="lineno"> 13</span>&#160;<span class="comment">//</span><span class="comment"></span></div><div class="line"><a name="l00014"></a><span class="lineno"> 14</span>&#160;<span class="comment">////////////////////////////////////////////////////////////////</span></div><div class="line"><a name="l00015"></a><span class="lineno"> 15</span>&#160;<span class="comment"></span>*/</div><div class="line"><a name="l00016"></a><span class="lineno"> 16</span>&#160;</div><div class="line"><a name="l00017"></a><span class="lineno"> 17</span>&#160;<span class="preprocessor">#if !defined(ON_TORUS_INC_)</span></div><div class="line"><a name="l00018"></a><span class="lineno"> 18</span>&#160;<span class="preprocessor">#define ON_TORUS_INC_</span></div><div class="line"><a name="l00019"></a><span class="lineno"> 19</span>&#160;</div><div class="line"><a name="l00020"></a><span class="lineno"> 20</span>&#160;<span class="keyword">class </span><a class="code" href="../../d1/d37/class_o_n___rev_surface.html">ON_RevSurface</a>;</div><div class="line"><a name="l00021"></a><span class="lineno"> 21</span>&#160;<span class="keyword">class </span><a class="code" href="../../d2/da3/class_o_n___text_log.html">ON_TextLog</a>;</div><div class="line"><a name="l00022"></a><span class="lineno"> 22</span>&#160;</div><div class="line"><a name="l00023"></a><span class="lineno"> 23</span>&#160;<span class="comment">/*</span></div><div class="line"><a name="l00024"></a><span class="lineno"> 24</span>&#160;<span class="comment">Description:</span></div><div class="line"><a name="l00025"></a><span class="lineno"> 25</span>&#160;<span class="comment"> The torus is defined by a major circle and minor radius. The</span></div><div class="line"><a name="l00026"></a><span class="lineno"> 26</span>&#160;<span class="comment"> torus is parameterized by (major_angle,minor_angle). The angles</span></div><div class="line"><a name="l00027"></a><span class="lineno"> 27</span>&#160;<span class="comment"> are specified in radians. The domain of both parameters is (0,2pi).</span></div><div class="line"><a name="l00028"></a><span class="lineno"><a class="line" href="../../d4/d44/class_o_n___torus.html"> 28</a></span>&#160;<span class="comment">*/</span></div><div class="line"><a name="l00029"></a><span class="lineno"> 29</span>&#160;<span class="keyword">class </span>ON_CLASS <a class="code" href="../../d4/d44/class_o_n___torus.html">ON_Torus</a></div><div class="line"><a name="l00030"></a><span class="lineno"> 30</span>&#160;{</div><div class="line"><a name="l00031"></a><span class="lineno"> 31</span>&#160;</div><div class="line"><a name="l00032"></a><span class="lineno"> 32</span>&#160;<span class="keyword">public</span>:</div><div class="line"><a name="l00033"></a><span class="lineno"> 33</span>&#160; <span class="comment">// for expert users</span></div><div class="line"><a name="l00034"></a><span class="lineno"><a class="line" href="../../d4/d44/class_o_n___torus.html#aaad824c344ceae6d02236efcd3e99183"> 34</a></span>&#160;</div><div class="line"><a name="l00035"></a><span class="lineno"><a class="line" href="../../d4/d44/class_o_n___torus.html#a48d9920b5b940bedabe2bf90458ab2a0"> 35</a></span>&#160; <a class="code" href="../../d4/d48/class_o_n___plane.html">ON_Plane</a> plane; <span class="comment">// major circle plane</span></div><div class="line"><a name="l00036"></a><span class="lineno"><a class="line" href="../../d4/d44/class_o_n___torus.html#ad82a00b7119803c4e4b97a9fb118ae5f"> 36</a></span>&#160; <span class="keywordtype">double</span> major_radius; <span class="comment">// &gt; minor_radius</span></div><div class="line"><a name="l00037"></a><span class="lineno"> 37</span>&#160; <span class="keywordtype">double</span> minor_radius; <span class="comment">// &gt; 0</span></div><div class="line"><a name="l00038"></a><span class="lineno"> 38</span>&#160;</div><div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160;<span class="keyword">public</span>:</div><div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160;</div><div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160; <a class="code" href="../../d4/d44/class_o_n___torus.html">ON_Torus</a>();</div><div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160; <a class="code" href="../../d4/d44/class_o_n___torus.html">ON_Torus</a>( <span class="keyword">const</span> <a class="code" href="../../d4/d48/class_o_n___plane.html">ON_Plane</a>&amp; major__plane, <span class="keywordtype">double</span> major__radius, <span class="keywordtype">double</span> minor__radius );</div><div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160; <a class="code" href="../../d4/d44/class_o_n___torus.html">ON_Torus</a>( <span class="keyword">const</span> <a class="code" href="../../d1/d1b/class_o_n___circle.html">ON_Circle</a>&amp; major__circle, <span class="keywordtype">double</span> minor__radius );</div><div class="line"><a name="l00044"></a><span class="lineno"> 44</span>&#160; ~<a class="code" href="../../d4/d44/class_o_n___torus.html">ON_Torus</a>();</div><div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160;</div><div class="line"><a name="l00046"></a><span class="lineno"> 46</span>&#160; <span class="keywordtype">bool</span> IsValid( <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</span>;</div><div class="line"><a name="l00047"></a><span class="lineno"> 47</span>&#160;</div><div class="line"><a name="l00048"></a><span class="lineno"> 48</span>&#160; <span class="keywordtype">bool</span> Create( <span class="keyword">const</span> <a class="code" href="../../d4/d48/class_o_n___plane.html">ON_Plane</a>&amp; major__plane, <span class="keywordtype">double</span> major__radius, <span class="keywordtype">double</span> minor__radius );</div><div class="line"><a name="l00049"></a><span class="lineno"> 49</span>&#160; <span class="keywordtype">bool</span> Create( <span class="keyword">const</span> <a class="code" href="../../d1/d1b/class_o_n___circle.html">ON_Circle</a>&amp; major__circle, <span class="keywordtype">double</span> minor__radius);</div><div class="line"><a name="l00050"></a><span class="lineno"> 50</span>&#160;</div><div class="line"><a name="l00051"></a><span class="lineno"> 51</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00052"></a><span class="lineno"> 52</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00053"></a><span class="lineno"> 53</span>&#160;<span class="comment"> Get the circle that is the isocurve on the torus</span></div><div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160;<span class="comment"> at a specified minor angle.</span></div><div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160;<span class="comment"> Parameteters:</span></div><div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160;<span class="comment"> minor_angle_radians - [in]</span></div><div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160;<span class="comment"> A circle with normal major_circle.plane.zaxis that starts</span></div><div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160;<span class="comment"> at PointAt( 0.0, minor_angle_radians ).</span></div><div class="line"><a name="l00060"></a><span class="lineno"> 60</span>&#160;<span class="comment"> See Also:</span></div><div class="line"><a name="l00061"></a><span class="lineno"> 61</span>&#160;<span class="comment"> ON_Torus::MajorCircleRadians</span></div><div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160;<span class="comment"> ON_Torus::MajorCircleDegrees</span></div><div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160;<span class="comment"> ON_Torus::MinorCircleRadians</span></div><div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160;<span class="comment"> ON_Torus::MinorCircleDegrees</span></div><div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160; <a class="code" href="../../d1/d1b/class_o_n___circle.html">ON_Circle</a> MajorCircleRadians(<span class="keywordtype">double</span> minor_angle_radians ) <span class="keyword">const</span>;</div><div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160;</div><div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00070"></a><span class="lineno"> 70</span>&#160;<span class="comment"> Get the circle that is the isocurve on the torus</span></div><div class="line"><a name="l00071"></a><span class="lineno"> 71</span>&#160;<span class="comment"> at a specified minor angle.</span></div><div class="line"><a name="l00072"></a><span class="lineno"> 72</span>&#160;<span class="comment"> Parameteters:</span></div><div class="line"><a name="l00073"></a><span class="lineno"> 73</span>&#160;<span class="comment"> minor_angle_degrees - [in]</span></div><div class="line"><a name="l00074"></a><span class="lineno"> 74</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160;<span class="comment"> A circle with normal major_circle.plane.zaxis that starts</span></div><div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160;<span class="comment"> at PointAt( 0.0, minor_angle_degrees*ON_PI/180.0 ).</span></div><div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160;<span class="comment"> See Also:</span></div><div class="line"><a name="l00078"></a><span class="lineno"> 78</span>&#160;<span class="comment"> ON_Torus::MajorCircleRadians</span></div><div class="line"><a name="l00079"></a><span class="lineno"> 79</span>&#160;<span class="comment"> ON_Torus::MajorCircleDegrees</span></div><div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160;<span class="comment"> ON_Torus::MinorCircleRadians</span></div><div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160;<span class="comment"> ON_Torus::MinorCircleDegrees</span></div><div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00083"></a><span class="lineno"> 83</span>&#160; <a class="code" href="../../d1/d1b/class_o_n___circle.html">ON_Circle</a> MajorCircleDegrees(<span class="keywordtype">double</span> minor_angle_degrees) <span class="keyword">const</span>;</div><div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160;</div><div class="line"><a name="l00085"></a><span class="lineno"> 85</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00086"></a><span class="lineno"> 86</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00087"></a><span class="lineno"> 87</span>&#160;<span class="comment"> Get the minor circle that is the isocurve on the torus</span></div><div class="line"><a name="l00088"></a><span class="lineno"> 88</span>&#160;<span class="comment"> at a specified major angle.</span></div><div class="line"><a name="l00089"></a><span class="lineno"> 89</span>&#160;<span class="comment"> Parameteters:</span></div><div class="line"><a name="l00090"></a><span class="lineno"> 90</span>&#160;<span class="comment"> major_angle_radians - [in]</span></div><div class="line"><a name="l00091"></a><span class="lineno"> 91</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00092"></a><span class="lineno"> 92</span>&#160;<span class="comment"> A circle with radius = minor_radis, </span></div><div class="line"><a name="l00093"></a><span class="lineno"> 93</span>&#160;<span class="comment"> center = major_circle.PointAt(major_angle_radians), and</span></div><div class="line"><a name="l00094"></a><span class="lineno"> 94</span>&#160;<span class="comment"> starting point PointAt( major_angle_radians, 0.0 ).</span></div><div class="line"><a name="l00095"></a><span class="lineno"> 95</span>&#160;<span class="comment"> See Also:</span></div><div class="line"><a name="l00096"></a><span class="lineno"> 96</span>&#160;<span class="comment"> ON_Torus::MajorCircleRadians</span></div><div class="line"><a name="l00097"></a><span class="lineno"> 97</span>&#160;<span class="comment"> ON_Torus::MajorCircleDegrees</span></div><div class="line"><a name="l00098"></a><span class="lineno"> 98</span>&#160;<span class="comment"> ON_Torus::MinorCircleRadians</span></div><div class="line"><a name="l00099"></a><span class="lineno"> 99</span>&#160;<span class="comment"> ON_Torus::MinorCircleDegrees</span></div><div class="line"><a name="l00100"></a><span class="lineno"> 100</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00101"></a><span class="lineno"> 101</span>&#160; <a class="code" href="../../d1/d1b/class_o_n___circle.html">ON_Circle</a> MinorCircleRadians(<span class="keywordtype">double</span> major_angle_radians) <span class="keyword">const</span>;</div><div class="line"><a name="l00102"></a><span class="lineno"> 102</span>&#160;</div><div class="line"><a name="l00103"></a><span class="lineno"> 103</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00104"></a><span class="lineno"> 104</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00105"></a><span class="lineno"> 105</span>&#160;<span class="comment"> Get the minor circle that is the isocurve on the torus</span></div><div class="line"><a name="l00106"></a><span class="lineno"> 106</span>&#160;<span class="comment"> at a specified major angle.</span></div><div class="line"><a name="l00107"></a><span class="lineno"> 107</span>&#160;<span class="comment"> Parameteters:</span></div><div class="line"><a name="l00108"></a><span class="lineno"> 108</span>&#160;<span class="comment"> major_angle_degrees - [in]</span></div><div class="line"><a name="l00109"></a><span class="lineno"> 109</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00110"></a><span class="lineno"> 110</span>&#160;<span class="comment"> A circle with radius = minor_radis, </span></div><div class="line"><a name="l00111"></a><span class="lineno"> 111</span>&#160;<span class="comment"> center = major_circle.PointAt(major_angle_degrees*ON_PI/180.0), and</span></div><div class="line"><a name="l00112"></a><span class="lineno"> 112</span>&#160;<span class="comment"> starting point PointAt( major_angle_degrees*ON_PI/180.0, 0.0 ).</span></div><div class="line"><a name="l00113"></a><span class="lineno"> 113</span>&#160;<span class="comment"> See Also:</span></div><div class="line"><a name="l00114"></a><span class="lineno"> 114</span>&#160;<span class="comment"> ON_Torus::MajorCircleRadians</span></div><div class="line"><a name="l00115"></a><span class="lineno"> 115</span>&#160;<span class="comment"> ON_Torus::MajorCircleDegrees</span></div><div class="line"><a name="l00116"></a><span class="lineno"> 116</span>&#160;<span class="comment"> ON_Torus::MinorCircleRadians</span></div><div class="line"><a name="l00117"></a><span class="lineno"> 117</span>&#160;<span class="comment"> ON_Torus::MinorCircleDegrees</span></div><div class="line"><a name="l00118"></a><span class="lineno"> 118</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00119"></a><span class="lineno"> 119</span>&#160; <a class="code" href="../../d1/d1b/class_o_n___circle.html">ON_Circle</a> MinorCircleDegrees(<span class="keywordtype">double</span> major_angle_degrees) <span class="keyword">const</span>;</div><div class="line"><a name="l00120"></a><span class="lineno"> 120</span>&#160;</div><div class="line"><a name="l00121"></a><span class="lineno"> 121</span>&#160; <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> Center() <span class="keyword">const</span>;</div><div class="line"><a name="l00122"></a><span class="lineno"> 122</span>&#160; <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> Axis() <span class="keyword">const</span>;</div><div class="line"><a name="l00123"></a><span class="lineno"> 123</span>&#160; <span class="keywordtype">double</span> MajorRadius() <span class="keyword">const</span>;</div><div class="line"><a name="l00124"></a><span class="lineno"> 124</span>&#160; <span class="keywordtype">double</span> MinorRadius() <span class="keyword">const</span>;</div><div class="line"><a name="l00125"></a><span class="lineno"> 125</span>&#160;</div><div class="line"><a name="l00126"></a><span class="lineno"> 126</span>&#160; <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> PointAt(</div><div class="line"><a name="l00127"></a><span class="lineno"> 127</span>&#160; <span class="keywordtype">double</span> major_angle_radians, </div><div class="line"><a name="l00128"></a><span class="lineno"> 128</span>&#160; <span class="keywordtype">double</span> minor_angle_radians</div><div class="line"><a name="l00129"></a><span class="lineno"> 129</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00130"></a><span class="lineno"> 130</span>&#160;</div><div class="line"><a name="l00131"></a><span class="lineno"> 131</span>&#160; <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> NormalAt(</div><div class="line"><a name="l00132"></a><span class="lineno"> 132</span>&#160; <span class="keywordtype">double</span> major_angle_radians, </div><div class="line"><a name="l00133"></a><span class="lineno"> 133</span>&#160; <span class="keywordtype">double</span> minor_angle_radians</div><div class="line"><a name="l00134"></a><span class="lineno"> 134</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00135"></a><span class="lineno"> 135</span>&#160;</div><div class="line"><a name="l00136"></a><span class="lineno"> 136</span>&#160; <span class="comment">// returns parameters of point on torus that is closest to test_point.</span></div><div class="line"><a name="l00137"></a><span class="lineno"> 137</span>&#160; <span class="keywordtype">bool</span> ClosestPointTo( </div><div class="line"><a name="l00138"></a><span class="lineno"> 138</span>&#160; <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> test_point, </div><div class="line"><a name="l00139"></a><span class="lineno"> 139</span>&#160; <span class="keywordtype">double</span>* major_angle_radians, </div><div class="line"><a name="l00140"></a><span class="lineno"> 140</span>&#160; <span class="keywordtype">double</span>* minor_angle_radians</div><div class="line"><a name="l00141"></a><span class="lineno"> 141</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00142"></a><span class="lineno"> 142</span>&#160;</div><div class="line"><a name="l00143"></a><span class="lineno"> 143</span>&#160; <span class="comment">// returns point on torus that is closest to test_point</span></div><div class="line"><a name="l00144"></a><span class="lineno"> 144</span>&#160; <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> ClosestPointTo( </div><div class="line"><a name="l00145"></a><span class="lineno"> 145</span>&#160; <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> test_point</div><div class="line"><a name="l00146"></a><span class="lineno"> 146</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00147"></a><span class="lineno"> 147</span>&#160;</div><div class="line"><a name="l00148"></a><span class="lineno"> 148</span>&#160; <span class="comment">// rotate torus about its origin</span></div><div class="line"><a name="l00149"></a><span class="lineno"> 149</span>&#160; <span class="keywordtype">bool</span> Rotate(</div><div class="line"><a name="l00150"></a><span class="lineno"> 150</span>&#160; <span class="keywordtype">double</span> sin_angle, <span class="comment">// sin(angle)</span></div><div class="line"><a name="l00151"></a><span class="lineno"> 151</span>&#160; <span class="keywordtype">double</span> cos_angle, <span class="comment">// cos(angle)</span></div><div class="line"><a name="l00152"></a><span class="lineno"> 152</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp; axis_of_rotation <span class="comment">// axis of rotation</span></div><div class="line"><a name="l00153"></a><span class="lineno"> 153</span>&#160; );</div><div class="line"><a name="l00154"></a><span class="lineno"> 154</span>&#160;</div><div class="line"><a name="l00155"></a><span class="lineno"> 155</span>&#160; <span class="keywordtype">bool</span> Rotate(</div><div class="line"><a name="l00156"></a><span class="lineno"> 156</span>&#160; <span class="keywordtype">double</span> angle_radians, <span class="comment">// angle in radians</span></div><div class="line"><a name="l00157"></a><span class="lineno"> 157</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp; axis_of_rotation <span class="comment">// axis of rotation</span></div><div class="line"><a name="l00158"></a><span class="lineno"> 158</span>&#160; );</div><div class="line"><a name="l00159"></a><span class="lineno"> 159</span>&#160;</div><div class="line"><a name="l00160"></a><span class="lineno"> 160</span>&#160; <span class="comment">// rotate torus about a point and axis</span></div><div class="line"><a name="l00161"></a><span class="lineno"> 161</span>&#160; <span class="keywordtype">bool</span> Rotate(</div><div class="line"><a name="l00162"></a><span class="lineno"> 162</span>&#160; <span class="keywordtype">double</span> sin_angle, <span class="comment">// sin(angle)</span></div><div class="line"><a name="l00163"></a><span class="lineno"> 163</span>&#160; <span class="keywordtype">double</span> cos_angle, <span class="comment">// cos(angle)</span></div><div class="line"><a name="l00164"></a><span class="lineno"> 164</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp; axis_of_rotation, <span class="comment">// axis of rotation</span></div><div class="line"><a name="l00165"></a><span class="lineno"> 165</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&amp; center_of_rotation <span class="comment">// center of rotation</span></div><div class="line"><a name="l00166"></a><span class="lineno"> 166</span>&#160; );</div><div class="line"><a name="l00167"></a><span class="lineno"> 167</span>&#160;</div><div class="line"><a name="l00168"></a><span class="lineno"> 168</span>&#160; <span class="keywordtype">bool</span> Rotate(</div><div class="line"><a name="l00169"></a><span class="lineno"> 169</span>&#160; <span class="keywordtype">double</span> angle_radians, <span class="comment">// angle in radians</span></div><div class="line"><a name="l00170"></a><span class="lineno"> 170</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp; axis_of_rotation, <span class="comment">// axis of rotation</span></div><div class="line"><a name="l00171"></a><span class="lineno"> 171</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&amp; center_of_rotation <span class="comment">// center of rotation</span></div><div class="line"><a name="l00172"></a><span class="lineno"> 172</span>&#160; );</div><div class="line"><a name="l00173"></a><span class="lineno"> 173</span>&#160;</div><div class="line"><a name="l00174"></a><span class="lineno"> 174</span>&#160; <span class="keywordtype">bool</span> Translate(</div><div class="line"><a name="l00175"></a><span class="lineno"> 175</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp;</div><div class="line"><a name="l00176"></a><span class="lineno"> 176</span>&#160; );</div><div class="line"><a name="l00177"></a><span class="lineno"> 177</span>&#160;</div><div class="line"><a name="l00178"></a><span class="lineno"> 178</span>&#160; <span class="keywordtype">bool</span> Transform( <span class="keyword">const</span> <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>&amp; );</div><div class="line"><a name="l00179"></a><span class="lineno"> 179</span>&#160;</div><div class="line"><a name="l00180"></a><span class="lineno"> 180</span>&#160; <span class="comment">// parameterization of NURBS surface does not match torus&#39;s transcendental paramaterization</span></div><div class="line"><a name="l00181"></a><span class="lineno"> 181</span>&#160; <span class="keywordtype">int</span> GetNurbForm( <a class="code" href="../../de/ddc/class_o_n___nurbs_surface.html">ON_NurbsSurface</a>&amp; ) <span class="keyword">const</span>; <span class="comment">// returns 0=failure, 2=success</span></div><div class="line"><a name="l00182"></a><span class="lineno"> 182</span>&#160;</div><div class="line"><a name="l00183"></a><span class="lineno"> 183</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00184"></a><span class="lineno"> 184</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00185"></a><span class="lineno"> 185</span>&#160;<span class="comment"> Creates a surface of revolution definition of the torus.</span></div><div class="line"><a name="l00186"></a><span class="lineno"> 186</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l00187"></a><span class="lineno"> 187</span>&#160;<span class="comment"> srf - [in] if not nullptr, then this srf is used.</span></div><div class="line"><a name="l00188"></a><span class="lineno"> 188</span>&#160;<span class="comment"> Result:</span></div><div class="line"><a name="l00189"></a><span class="lineno"> 189</span>&#160;<span class="comment"> A surface of revolution or nullptr if the torus is not valid.</span></div><div class="line"><a name="l00190"></a><span class="lineno"> 190</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00191"></a><span class="lineno"> 191</span>&#160; <a class="code" href="../../d1/d37/class_o_n___rev_surface.html">ON_RevSurface</a>* RevSurfaceForm( <a class="code" href="../../d1/d37/class_o_n___rev_surface.html">ON_RevSurface</a>* srf = <span class="keyword">nullptr</span> ) <span class="keyword">const</span>;</div><div class="line"><a name="l00192"></a><span class="lineno"> 192</span>&#160;};</div><div class="line"><a name="l00193"></a><span class="lineno"> 193</span>&#160;</div><div class="line"><a name="l00194"></a><span class="lineno"> 194</span>&#160;<span class="preprocessor">#endif</span></div><div class="ttc" id="class_o_n___nurbs_surface_html"><div class="ttname"><a href="../../de/ddc/class_o_n___nurbs_surface.html">ON_NurbsSurface</a></div><div class="ttdef"><b>Definition:</b> opennurbs_nurbssurface.h:62</div></div>
<div class="ttc" id="class_o_n___circle_html"><div class="ttname"><a href="../../d1/d1b/class_o_n___circle.html">ON_Circle</a></div><div class="ttdoc">ON_Circle is a circle in 3d. The cirle is represented by a radius and an orthonormal frame of the pla...</div><div class="ttdef"><b>Definition:</b> opennurbs_circle.h:32</div></div>
<div class="ttc" id="class_o_n___xform_html"><div class="ttname"><a href="../../d3/d13/class_o_n___xform.html">ON_Xform</a></div><div class="ttdef"><b>Definition:</b> opennurbs_xform.h:28</div></div>
<div class="ttc" id="class_o_n___torus_html"><div class="ttname"><a href="../../d4/d44/class_o_n___torus.html">ON_Torus</a></div><div class="ttdoc">The torus is defined by a major circle and minor radius. The torus is parameterized by (major_angle...</div><div class="ttdef"><b>Definition:</b> opennurbs_torus.h:28</div></div>
<div class="ttc" id="class_o_n___text_log_html"><div class="ttname"><a href="../../d2/da3/class_o_n___text_log.html">ON_TextLog</a></div><div class="ttdef"><b>Definition:</b> opennurbs_textlog.h:20</div></div>
<div class="ttc" id="class_o_n__3d_point_html"><div class="ttname"><a href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a></div><div class="ttdef"><b>Definition:</b> opennurbs_point.h:460</div></div>
<div class="ttc" id="class_o_n___plane_html"><div class="ttname"><a href="../../d4/d48/class_o_n___plane.html">ON_Plane</a></div><div class="ttdef"><b>Definition:</b> opennurbs_plane.h:20</div></div>
<div class="ttc" id="class_o_n___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>
<div class="ttc" id="class_o_n__3d_vector_html"><div class="ttname"><a href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a></div><div class="ttdef"><b>Definition:</b> opennurbs_point.h:1152</div></div>
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