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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_ARC_INC_)</span></div><div class="line"><a name="l00018"></a><span class="lineno"> 18</span>&#160;<span class="preprocessor">#define ON_ARC_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="comment">/*</span></div><div class="line"><a name="l00021"></a><span class="lineno"> 21</span>&#160;<span class="comment">Description:</span></div><div class="line"><a name="l00022"></a><span class="lineno"> 22</span>&#160;<span class="comment"> An ON_Arc is a subcurve of 3d circle. </span></div><div class="line"><a name="l00023"></a><span class="lineno"> 23</span>&#160;<span class="comment">Details:</span></div><div class="line"><a name="l00024"></a><span class="lineno"> 24</span>&#160;<span class="comment"> The curve is parameterized by an angle expressed in radians. For an IsValid() arc </span></div><div class="line"><a name="l00025"></a><span class="lineno"> 25</span>&#160;<span class="comment"> the total subtended angle AngleRadians() = Domain()(1) - Domain()(0) must satisfy</span></div><div class="line"><a name="l00026"></a><span class="lineno"> 26</span>&#160;<span class="comment"> 0&lt; AngleRadians() &lt;2*Pi .</span></div><div class="line"><a name="l00027"></a><span class="lineno"> 27</span>&#160;<span class="comment"> </span></div><div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160;<span class="comment"> The parameterization of the ON_Arc is inherited from the ON_Circle it is derived from.</span></div><div class="line"><a name="l00029"></a><span class="lineno"> 29</span>&#160;<span class="comment"> In particular</span></div><div class="line"><a name="l00030"></a><span class="lineno"> 30</span>&#160;<span class="comment"> t -&gt; center + cos(t)*radius*xaxis + sin(t)*radius*yaxis </span></div><div class="line"><a name="l00031"></a><span class="lineno"> 31</span>&#160;<span class="comment"> where xaxis and yaxis, (part of ON_Circle::m_plane) form an othonormal frame of the plane </span></div><div class="line"><a name="l00032"></a><span class="lineno"> 32</span>&#160;<span class="comment"> containing the circle.</span></div><div class="line"><a name="l00033"></a><span class="lineno"><a class="line" href="../../d3/ddf/class_o_n___arc.html"> 33</a></span>&#160;<span class="comment">*/</span></div><div class="line"><a name="l00034"></a><span class="lineno"> 34</span>&#160;<span class="keyword">class </span>ON_CLASS <a class="code" href="../../d3/ddf/class_o_n___arc.html">ON_Arc</a> : <span class="keyword">public</span> <a class="code" href="../../d1/d1b/class_o_n___circle.html">ON_Circle</a></div><div class="line"><a name="l00035"></a><span class="lineno"> 35</span>&#160;{</div><div class="line"><a name="l00036"></a><span class="lineno"> 36</span>&#160;<span class="keyword">public</span>:</div><div class="line"><a name="l00037"></a><span class="lineno"> 37</span>&#160; <span class="comment">// Create a radius one arc with angle = 2*pi</span></div><div class="line"><a name="l00038"></a><span class="lineno"> 38</span>&#160; <a class="code" href="../../d3/ddf/class_o_n___arc.html">ON_Arc</a>() = <span class="keywordflow">default</span>;</div><div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160; ~<a class="code" href="../../d3/ddf/class_o_n___arc.html">ON_Arc</a>() = <span class="keywordflow">default</span>;</div><div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160; <a class="code" href="../../d3/ddf/class_o_n___arc.html">ON_Arc</a>(<span class="keyword">const</span> <a class="code" href="../../d3/ddf/class_o_n___arc.html">ON_Arc</a>&amp;) = <span class="keywordflow">default</span>;</div><div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160; <a class="code" href="../../d3/ddf/class_o_n___arc.html">ON_Arc</a>&amp; <a class="code" href="../../d1/d1b/class_o_n___circle.html#a6616e3d52ad3467634c05892c083a935">operator=</a>(<span class="keyword">const</span> <a class="code" href="../../d3/ddf/class_o_n___arc.html">ON_Arc</a>&amp;) = <span class="keywordflow">default</span>;</div><div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160;</div><div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160; <a class="code" href="../../d3/ddf/class_o_n___arc.html">ON_Arc</a>&amp; <a class="code" href="../../d1/d1b/class_o_n___circle.html#a6616e3d52ad3467634c05892c083a935">operator=</a>( <span class="keyword">const</span> <a class="code" href="../../d1/d1b/class_o_n___circle.html">ON_Circle</a>&amp; );</div><div class="line"><a name="l00044"></a><span class="lineno"><a class="line" href="../../d3/ddf/class_o_n___arc.html#ac3523ced5157b20b7ba05ccdfc6070bc"> 44</a></span>&#160;</div><div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160; <span class="keyword">static</span> <span class="keyword">const</span> <a class="code" href="../../d3/ddf/class_o_n___arc.html">ON_Arc</a> <a class="code" href="../../d1/d1b/class_o_n___circle.html#abe9b4cbee22108f4f4f349197673a23e">UnitCircle</a>; <span class="comment">// unit circle in the xy plane</span></div><div class="line"><a name="l00046"></a><span class="lineno"> 46</span>&#160;</div><div class="line"><a name="l00047"></a><span class="lineno"> 47</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00048"></a><span class="lineno"> 48</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00049"></a><span class="lineno"> 49</span>&#160;<span class="comment"> Construct an arc from a circle and an angle in radians</span></div><div class="line"><a name="l00050"></a><span class="lineno"> 50</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l00051"></a><span class="lineno"> 51</span>&#160;<span class="comment"> circle - [in]</span></div><div class="line"><a name="l00052"></a><span class="lineno"> 52</span>&#160;<span class="comment"> angle_in_radians - [in]</span></div><div class="line"><a name="l00053"></a><span class="lineno"> 53</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160; <a class="code" href="../../d3/ddf/class_o_n___arc.html">ON_Arc</a>(</div><div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d1/d1b/class_o_n___circle.html">ON_Circle</a>&amp; circle,</div><div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160; <span class="keywordtype">double</span> angle_in_radians</div><div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160; );</div><div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160;</div><div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00060"></a><span class="lineno"> 60</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l00061"></a><span class="lineno"> 61</span>&#160;<span class="comment"> circle - [in]</span></div><div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160;<span class="comment"> angle_interval_in_radians - [in] increasing angle interval</span></div><div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160;<span class="comment"> in radians with angle_interval_in_radians.Length() &lt;= 2.0*ON_PI.</span></div><div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160; <a class="code" href="../../d3/ddf/class_o_n___arc.html">ON_Arc</a>(</div><div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d1/d1b/class_o_n___circle.html">ON_Circle</a>&amp; circle,</div><div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160; <a class="code" href="../../dc/dc7/class_o_n___interval.html">ON_Interval</a> angle_interval_in_radians</div><div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160; );</div><div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160;</div><div class="line"><a name="l00070"></a><span class="lineno"> 70</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00071"></a><span class="lineno"> 71</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00072"></a><span class="lineno"> 72</span>&#160;<span class="comment"> Construct an arc from a plane, radius and an angle in radians.</span></div><div class="line"><a name="l00073"></a><span class="lineno"> 73</span>&#160;<span class="comment"> The center of the arc is at the plane&#39;s origin.</span></div><div class="line"><a name="l00074"></a><span class="lineno"> 74</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160;<span class="comment"> plane - [in]</span></div><div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160;<span class="comment"> circle is in this plane with center at m_origin</span></div><div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160;<span class="comment"> center - [in]</span></div><div class="line"><a name="l00078"></a><span class="lineno"> 78</span>&#160;<span class="comment"> circle&#39;s center point</span></div><div class="line"><a name="l00079"></a><span class="lineno"> 79</span>&#160;<span class="comment"> radius - [in]</span></div><div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160;<span class="comment"> angle_in_radians - [in]</span></div><div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160; <a class="code" href="../../d3/ddf/class_o_n___arc.html">ON_Arc</a>(</div><div class="line"><a name="l00083"></a><span class="lineno"> 83</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d4/d48/class_o_n___plane.html">ON_Plane</a>&amp; plane,</div><div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160; <span class="keywordtype">double</span> radius,</div><div class="line"><a name="l00085"></a><span class="lineno"> 85</span>&#160; <span class="keywordtype">double</span> angle_in_radians</div><div class="line"><a name="l00086"></a><span class="lineno"> 86</span>&#160; );</div><div class="line"><a name="l00087"></a><span class="lineno"> 87</span>&#160;</div><div class="line"><a name="l00088"></a><span class="lineno"> 88</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00089"></a><span class="lineno"> 89</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00090"></a><span class="lineno"> 90</span>&#160;<span class="comment"> Construct an arc parallel to the world XY plane from a</span></div><div class="line"><a name="l00091"></a><span class="lineno"> 91</span>&#160;<span class="comment"> center point, radius, and angle in radians.</span></div><div class="line"><a name="l00092"></a><span class="lineno"> 92</span>&#160;<span class="comment"> The arc starts at center+(radius,0,0).</span></div><div class="line"><a name="l00093"></a><span class="lineno"> 93</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l00094"></a><span class="lineno"> 94</span>&#160;<span class="comment"> center - [in]</span></div><div class="line"><a name="l00095"></a><span class="lineno"> 95</span>&#160;<span class="comment"> radius - [in]</span></div><div class="line"><a name="l00096"></a><span class="lineno"> 96</span>&#160;<span class="comment"> angle_in_radians - [in]</span></div><div class="line"><a name="l00097"></a><span class="lineno"> 97</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00098"></a><span class="lineno"> 98</span>&#160; <a class="code" href="../../d3/ddf/class_o_n___arc.html">ON_Arc</a>(</div><div class="line"><a name="l00099"></a><span class="lineno"> 99</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&amp; center,</div><div class="line"><a name="l00100"></a><span class="lineno"> 100</span>&#160; <span class="keywordtype">double</span> radius,</div><div class="line"><a name="l00101"></a><span class="lineno"> 101</span>&#160; <span class="keywordtype">double</span> angle_in_radians</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;</div><div class="line"><a name="l00104"></a><span class="lineno"> 104</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00105"></a><span class="lineno"> 105</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00106"></a><span class="lineno"> 106</span>&#160;<span class="comment"> Construct an arc parallel to plane from a center point, </span></div><div class="line"><a name="l00107"></a><span class="lineno"> 107</span>&#160;<span class="comment"> radius, and angle in radians. </span></div><div class="line"><a name="l00108"></a><span class="lineno"> 108</span>&#160;<span class="comment"> The arc starts at center+radius*plane.xaxis.</span></div><div class="line"><a name="l00109"></a><span class="lineno"> 109</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l00110"></a><span class="lineno"> 110</span>&#160;<span class="comment"> plane - [in]</span></div><div class="line"><a name="l00111"></a><span class="lineno"> 111</span>&#160;<span class="comment"> The plane x, y and z axis are used to defines the circle</span></div><div class="line"><a name="l00112"></a><span class="lineno"> 112</span>&#160;<span class="comment"> plane&#39;s x, y and z axis. The plane origin is ignorned.</span></div><div class="line"><a name="l00113"></a><span class="lineno"> 113</span>&#160;<span class="comment"> center - [in]</span></div><div class="line"><a name="l00114"></a><span class="lineno"> 114</span>&#160;<span class="comment"> circle&#39;s center point</span></div><div class="line"><a name="l00115"></a><span class="lineno"> 115</span>&#160;<span class="comment"> radius - [in]</span></div><div class="line"><a name="l00116"></a><span class="lineno"> 116</span>&#160;<span class="comment"> angle_in_radians - [in]</span></div><div class="line"><a name="l00117"></a><span class="lineno"> 117</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00118"></a><span class="lineno"> 118</span>&#160; <a class="code" href="../../d3/ddf/class_o_n___arc.html">ON_Arc</a>(</div><div class="line"><a name="l00119"></a><span class="lineno"> 119</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d4/d48/class_o_n___plane.html">ON_Plane</a>&amp; plane,</div><div class="line"><a name="l00120"></a><span class="lineno"> 120</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&amp; center,</div><div class="line"><a name="l00121"></a><span class="lineno"> 121</span>&#160; <span class="keywordtype">double</span> radius,</div><div class="line"><a name="l00122"></a><span class="lineno"> 122</span>&#160; <span class="keywordtype">double</span> angle_in_radians</div><div class="line"><a name="l00123"></a><span class="lineno"> 123</span>&#160; );</div><div class="line"><a name="l00124"></a><span class="lineno"> 124</span>&#160;</div><div class="line"><a name="l00125"></a><span class="lineno"> 125</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00126"></a><span class="lineno"> 126</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00127"></a><span class="lineno"> 127</span>&#160;<span class="comment"> Construct an arc that passes through three 2d points.</span></div><div class="line"><a name="l00128"></a><span class="lineno"> 128</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l00129"></a><span class="lineno"> 129</span>&#160;<span class="comment"> start_point - [in]</span></div><div class="line"><a name="l00130"></a><span class="lineno"> 130</span>&#160;<span class="comment"> interior_point - [in]</span></div><div class="line"><a name="l00131"></a><span class="lineno"> 131</span>&#160;<span class="comment"> end_point - [in]</span></div><div class="line"><a name="l00132"></a><span class="lineno"> 132</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00133"></a><span class="lineno"> 133</span>&#160; <a class="code" href="../../d3/ddf/class_o_n___arc.html">ON_Arc</a>(</div><div class="line"><a name="l00134"></a><span class="lineno"> 134</span>&#160; <span class="keyword">const</span> <a class="code" href="../../dd/dd9/class_o_n__2d_point.html">ON_2dPoint</a>&amp; start_point,</div><div class="line"><a name="l00135"></a><span class="lineno"> 135</span>&#160; <span class="keyword">const</span> <a class="code" href="../../dd/dd9/class_o_n__2d_point.html">ON_2dPoint</a>&amp; interior_point,</div><div class="line"><a name="l00136"></a><span class="lineno"> 136</span>&#160; <span class="keyword">const</span> <a class="code" href="../../dd/dd9/class_o_n__2d_point.html">ON_2dPoint</a>&amp; end_point</div><div class="line"><a name="l00137"></a><span class="lineno"> 137</span>&#160; );</div><div class="line"><a name="l00138"></a><span class="lineno"> 138</span>&#160;</div><div class="line"><a name="l00139"></a><span class="lineno"> 139</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00140"></a><span class="lineno"> 140</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00141"></a><span class="lineno"> 141</span>&#160;<span class="comment"> Construct an arc that passes through three 3d points.</span></div><div class="line"><a name="l00142"></a><span class="lineno"> 142</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l00143"></a><span class="lineno"> 143</span>&#160;<span class="comment"> start_point - [in]</span></div><div class="line"><a name="l00144"></a><span class="lineno"> 144</span>&#160;<span class="comment"> interior_point - [in]</span></div><div class="line"><a name="l00145"></a><span class="lineno"> 145</span>&#160;<span class="comment"> end_point - [in]</span></div><div class="line"><a name="l00146"></a><span class="lineno"> 146</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00147"></a><span class="lineno"> 147</span>&#160; <a class="code" href="../../d3/ddf/class_o_n___arc.html">ON_Arc</a>(</div><div class="line"><a name="l00148"></a><span class="lineno"> 148</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&amp; start_point,</div><div class="line"><a name="l00149"></a><span class="lineno"> 149</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&amp; interior_point,</div><div class="line"><a name="l00150"></a><span class="lineno"> 150</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&amp; end_point</div><div class="line"><a name="l00151"></a><span class="lineno"> 151</span>&#160; );</div><div class="line"><a name="l00152"></a><span class="lineno"> 152</span>&#160;</div><div class="line"><a name="l00153"></a><span class="lineno"> 153</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00154"></a><span class="lineno"> 154</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00155"></a><span class="lineno"> 155</span>&#160;<span class="comment"> Create an arc from a circle and an angle in radians</span></div><div class="line"><a name="l00156"></a><span class="lineno"> 156</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l00157"></a><span class="lineno"> 157</span>&#160;<span class="comment"> circle - [in]</span></div><div class="line"><a name="l00158"></a><span class="lineno"> 158</span>&#160;<span class="comment"> angle_in_radians - [in]</span></div><div class="line"><a name="l00159"></a><span class="lineno"> 159</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00160"></a><span class="lineno"> 160</span>&#160;<span class="comment"> true if input is valid and a valid arc is created.</span></div><div class="line"><a name="l00161"></a><span class="lineno"> 161</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00162"></a><span class="lineno"> 162</span>&#160; <span class="keywordtype">bool</span> <a class="code" href="../../d1/d1b/class_o_n___circle.html#a18dea3481899886bdce6567744195cca">Create</a>(</div><div class="line"><a name="l00163"></a><span class="lineno"> 163</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d1/d1b/class_o_n___circle.html">ON_Circle</a>&amp; circle,</div><div class="line"><a name="l00164"></a><span class="lineno"> 164</span>&#160; <span class="keywordtype">double</span> angle_in_radians</div><div class="line"><a name="l00165"></a><span class="lineno"> 165</span>&#160; );</div><div class="line"><a name="l00166"></a><span class="lineno"> 166</span>&#160;</div><div class="line"><a name="l00167"></a><span class="lineno"> 167</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00168"></a><span class="lineno"> 168</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00169"></a><span class="lineno"> 169</span>&#160;<span class="comment"> Create an arc from a circle and an increasing angle interval</span></div><div class="line"><a name="l00170"></a><span class="lineno"> 170</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l00171"></a><span class="lineno"> 171</span>&#160;<span class="comment"> circle - [in]</span></div><div class="line"><a name="l00172"></a><span class="lineno"> 172</span>&#160;<span class="comment"> angle_interval_in_radians - [in] increasing angle interval in radians</span></div><div class="line"><a name="l00173"></a><span class="lineno"> 173</span>&#160;<span class="comment"> with angle_interval_in_radians.Length() &lt;= 2.0*ON_PI</span></div><div class="line"><a name="l00174"></a><span class="lineno"> 174</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00175"></a><span class="lineno"> 175</span>&#160;<span class="comment"> true if input is valid and a valid arc is created.</span></div><div class="line"><a name="l00176"></a><span class="lineno"> 176</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00177"></a><span class="lineno"> 177</span>&#160; <span class="keywordtype">bool</span> <a class="code" href="../../d1/d1b/class_o_n___circle.html#a18dea3481899886bdce6567744195cca">Create</a>(</div><div class="line"><a name="l00178"></a><span class="lineno"> 178</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d1/d1b/class_o_n___circle.html">ON_Circle</a>&amp; circle,</div><div class="line"><a name="l00179"></a><span class="lineno"> 179</span>&#160; <a class="code" href="../../dc/dc7/class_o_n___interval.html">ON_Interval</a> angle_interval_in_radians</div><div class="line"><a name="l00180"></a><span class="lineno"> 180</span>&#160; );</div><div class="line"><a name="l00181"></a><span class="lineno"> 181</span>&#160;</div><div class="line"><a name="l00182"></a><span class="lineno"> 182</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00183"></a><span class="lineno"> 183</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00184"></a><span class="lineno"> 184</span>&#160;<span class="comment"> Create an arc from a plane, radius and an angle in radians.</span></div><div class="line"><a name="l00185"></a><span class="lineno"> 185</span>&#160;<span class="comment"> The center of the arc is at the plane&#39;s origin.</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"> plane - [in]</span></div><div class="line"><a name="l00188"></a><span class="lineno"> 188</span>&#160;<span class="comment"> circle is in this plane with center at m_origin</span></div><div class="line"><a name="l00189"></a><span class="lineno"> 189</span>&#160;<span class="comment"> center - [in]</span></div><div class="line"><a name="l00190"></a><span class="lineno"> 190</span>&#160;<span class="comment"> circle&#39;s center point</span></div><div class="line"><a name="l00191"></a><span class="lineno"> 191</span>&#160;<span class="comment"> radius - [in]</span></div><div class="line"><a name="l00192"></a><span class="lineno"> 192</span>&#160;<span class="comment"> angle_in_radians - [in]</span></div><div class="line"><a name="l00193"></a><span class="lineno"> 193</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00194"></a><span class="lineno"> 194</span>&#160; <span class="keywordtype">bool</span> <a class="code" href="../../d1/d1b/class_o_n___circle.html#a18dea3481899886bdce6567744195cca">Create</a>(</div><div class="line"><a name="l00195"></a><span class="lineno"> 195</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d4/d48/class_o_n___plane.html">ON_Plane</a>&amp; plane,</div><div class="line"><a name="l00196"></a><span class="lineno"> 196</span>&#160; <span class="keywordtype">double</span> radius,</div><div class="line"><a name="l00197"></a><span class="lineno"> 197</span>&#160; <span class="keywordtype">double</span> angle_in_radians</div><div class="line"><a name="l00198"></a><span class="lineno"> 198</span>&#160; );</div><div class="line"><a name="l00199"></a><span class="lineno"> 199</span>&#160;</div><div class="line"><a name="l00200"></a><span class="lineno"> 200</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00201"></a><span class="lineno"> 201</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00202"></a><span class="lineno"> 202</span>&#160;<span class="comment"> Create an arc parallel to the world XY plane from a</span></div><div class="line"><a name="l00203"></a><span class="lineno"> 203</span>&#160;<span class="comment"> center point, radius, and angle in radians.</span></div><div class="line"><a name="l00204"></a><span class="lineno"> 204</span>&#160;<span class="comment"> The arc starts at center+(radius,0,0).</span></div><div class="line"><a name="l00205"></a><span class="lineno"> 205</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l00206"></a><span class="lineno"> 206</span>&#160;<span class="comment"> center - [in]</span></div><div class="line"><a name="l00207"></a><span class="lineno"> 207</span>&#160;<span class="comment"> radius - [in]</span></div><div class="line"><a name="l00208"></a><span class="lineno"> 208</span>&#160;<span class="comment"> angle_in_radians - [in]</span></div><div class="line"><a name="l00209"></a><span class="lineno"> 209</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00210"></a><span class="lineno"> 210</span>&#160; <span class="keywordtype">bool</span> <a class="code" href="../../d1/d1b/class_o_n___circle.html#a18dea3481899886bdce6567744195cca">Create</a>(</div><div class="line"><a name="l00211"></a><span class="lineno"> 211</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&amp; center,</div><div class="line"><a name="l00212"></a><span class="lineno"> 212</span>&#160; <span class="keywordtype">double</span> radius,</div><div class="line"><a name="l00213"></a><span class="lineno"> 213</span>&#160; <span class="keywordtype">double</span> angle_in_radians</div><div class="line"><a name="l00214"></a><span class="lineno"> 214</span>&#160; );</div><div class="line"><a name="l00215"></a><span class="lineno"> 215</span>&#160;</div><div class="line"><a name="l00216"></a><span class="lineno"> 216</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00217"></a><span class="lineno"> 217</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00218"></a><span class="lineno"> 218</span>&#160;<span class="comment"> Create an arc parallel to plane from a center point, </span></div><div class="line"><a name="l00219"></a><span class="lineno"> 219</span>&#160;<span class="comment"> radius, and angle in radians. </span></div><div class="line"><a name="l00220"></a><span class="lineno"> 220</span>&#160;<span class="comment"> The arc starts at center+radius*plane.xaxis.</span></div><div class="line"><a name="l00221"></a><span class="lineno"> 221</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l00222"></a><span class="lineno"> 222</span>&#160;<span class="comment"> plane - [in]</span></div><div class="line"><a name="l00223"></a><span class="lineno"> 223</span>&#160;<span class="comment"> The plane x, y and z axis are used to defines the circle</span></div><div class="line"><a name="l00224"></a><span class="lineno"> 224</span>&#160;<span class="comment"> plane&#39;s x, y and z axis. The plane origin is ignorned.</span></div><div class="line"><a name="l00225"></a><span class="lineno"> 225</span>&#160;<span class="comment"> center - [in]</span></div><div class="line"><a name="l00226"></a><span class="lineno"> 226</span>&#160;<span class="comment"> circle&#39;s center point</span></div><div class="line"><a name="l00227"></a><span class="lineno"> 227</span>&#160;<span class="comment"> radius - [in]</span></div><div class="line"><a name="l00228"></a><span class="lineno"> 228</span>&#160;<span class="comment"> angle_in_radians - [in]</span></div><div class="line"><a name="l00229"></a><span class="lineno"> 229</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00230"></a><span class="lineno"> 230</span>&#160; <span class="keywordtype">bool</span> <a class="code" href="../../d1/d1b/class_o_n___circle.html#a18dea3481899886bdce6567744195cca">Create</a>(</div><div class="line"><a name="l00231"></a><span class="lineno"> 231</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d4/d48/class_o_n___plane.html">ON_Plane</a>&amp; plane,</div><div class="line"><a name="l00232"></a><span class="lineno"> 232</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&amp; center,</div><div class="line"><a name="l00233"></a><span class="lineno"> 233</span>&#160; <span class="keywordtype">double</span> radius,</div><div class="line"><a name="l00234"></a><span class="lineno"> 234</span>&#160; <span class="keywordtype">double</span> angle_in_radians</div><div class="line"><a name="l00235"></a><span class="lineno"> 235</span>&#160; );</div><div class="line"><a name="l00236"></a><span class="lineno"> 236</span>&#160;</div><div class="line"><a name="l00237"></a><span class="lineno"> 237</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00238"></a><span class="lineno"> 238</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00239"></a><span class="lineno"> 239</span>&#160;<span class="comment"> Create an arc that passes through three 2d points.</span></div><div class="line"><a name="l00240"></a><span class="lineno"> 240</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l00241"></a><span class="lineno"> 241</span>&#160;<span class="comment"> start_point - [in]</span></div><div class="line"><a name="l00242"></a><span class="lineno"> 242</span>&#160;<span class="comment"> interior_point - [in]</span></div><div class="line"><a name="l00243"></a><span class="lineno"> 243</span>&#160;<span class="comment"> end_point - [in]</span></div><div class="line"><a name="l00244"></a><span class="lineno"> 244</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00245"></a><span class="lineno"> 245</span>&#160; <span class="keywordtype">bool</span> <a class="code" href="../../d1/d1b/class_o_n___circle.html#a18dea3481899886bdce6567744195cca">Create</a>(</div><div class="line"><a name="l00246"></a><span class="lineno"> 246</span>&#160; <span class="keyword">const</span> <a class="code" href="../../dd/dd9/class_o_n__2d_point.html">ON_2dPoint</a>&amp; start_point,</div><div class="line"><a name="l00247"></a><span class="lineno"> 247</span>&#160; <span class="keyword">const</span> <a class="code" href="../../dd/dd9/class_o_n__2d_point.html">ON_2dPoint</a>&amp; interior_point,</div><div class="line"><a name="l00248"></a><span class="lineno"> 248</span>&#160; <span class="keyword">const</span> <a class="code" href="../../dd/dd9/class_o_n__2d_point.html">ON_2dPoint</a>&amp; end_point</div><div class="line"><a name="l00249"></a><span class="lineno"> 249</span>&#160; );</div><div class="line"><a name="l00250"></a><span class="lineno"> 250</span>&#160;</div><div class="line"><a name="l00251"></a><span class="lineno"> 251</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00252"></a><span class="lineno"> 252</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00253"></a><span class="lineno"> 253</span>&#160;<span class="comment"> Create an arc that passes through three 3d points.</span></div><div class="line"><a name="l00254"></a><span class="lineno"> 254</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l00255"></a><span class="lineno"> 255</span>&#160;<span class="comment"> start_point - [in]</span></div><div class="line"><a name="l00256"></a><span class="lineno"> 256</span>&#160;<span class="comment"> interior_point - [in]</span></div><div class="line"><a name="l00257"></a><span class="lineno"> 257</span>&#160;<span class="comment"> end_point - [in]</span></div><div class="line"><a name="l00258"></a><span class="lineno"> 258</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00259"></a><span class="lineno"> 259</span>&#160; <span class="keywordtype">bool</span> <a class="code" href="../../d1/d1b/class_o_n___circle.html#a18dea3481899886bdce6567744195cca">Create</a>(</div><div class="line"><a name="l00260"></a><span class="lineno"> 260</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&amp; start_point,</div><div class="line"><a name="l00261"></a><span class="lineno"> 261</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&amp; interior_point,</div><div class="line"><a name="l00262"></a><span class="lineno"> 262</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&amp; end_point</div><div class="line"><a name="l00263"></a><span class="lineno"> 263</span>&#160; );</div><div class="line"><a name="l00264"></a><span class="lineno"> 264</span>&#160;</div><div class="line"><a name="l00265"></a><span class="lineno"> 265</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00266"></a><span class="lineno"> 266</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00267"></a><span class="lineno"> 267</span>&#160;<span class="comment"> Create an arc from a 2d start point, 2d start direction </span></div><div class="line"><a name="l00268"></a><span class="lineno"> 268</span>&#160;<span class="comment"> and a 2d end point.</span></div><div class="line"><a name="l00269"></a><span class="lineno"> 269</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l00270"></a><span class="lineno"> 270</span>&#160;<span class="comment"> start_point - [in]</span></div><div class="line"><a name="l00271"></a><span class="lineno"> 271</span>&#160;<span class="comment"> dir_at_start - [in]</span></div><div class="line"><a name="l00272"></a><span class="lineno"> 272</span>&#160;<span class="comment"> end_point - [in]</span></div><div class="line"><a name="l00273"></a><span class="lineno"> 273</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00274"></a><span class="lineno"> 274</span>&#160; <span class="keywordtype">bool</span> <a class="code" href="../../d1/d1b/class_o_n___circle.html#a18dea3481899886bdce6567744195cca">Create</a>(</div><div class="line"><a name="l00275"></a><span class="lineno"> 275</span>&#160; <span class="keyword">const</span> <a class="code" href="../../dd/dd9/class_o_n__2d_point.html">ON_2dPoint</a>&amp; start_point,</div><div class="line"><a name="l00276"></a><span class="lineno"> 276</span>&#160; <span class="keyword">const</span> <a class="code" href="../../da/d08/class_o_n__2d_vector.html">ON_2dVector</a>&amp; dir_at_start,</div><div class="line"><a name="l00277"></a><span class="lineno"> 277</span>&#160; <span class="keyword">const</span> <a class="code" href="../../dd/dd9/class_o_n__2d_point.html">ON_2dPoint</a>&amp; end_point</div><div class="line"><a name="l00278"></a><span class="lineno"> 278</span>&#160; );</div><div class="line"><a name="l00279"></a><span class="lineno"> 279</span>&#160;</div><div class="line"><a name="l00280"></a><span class="lineno"> 280</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00281"></a><span class="lineno"> 281</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00282"></a><span class="lineno"> 282</span>&#160;<span class="comment"> Create an arc from a 3d start point, 3d start direction </span></div><div class="line"><a name="l00283"></a><span class="lineno"> 283</span>&#160;<span class="comment"> and a 3d end point.</span></div><div class="line"><a name="l00284"></a><span class="lineno"> 284</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l00285"></a><span class="lineno"> 285</span>&#160;<span class="comment"> start_point - [in]</span></div><div class="line"><a name="l00286"></a><span class="lineno"> 286</span>&#160;<span class="comment"> dir_at_start - [in]</span></div><div class="line"><a name="l00287"></a><span class="lineno"> 287</span>&#160;<span class="comment"> end_point - [in]</span></div><div class="line"><a name="l00288"></a><span class="lineno"> 288</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00289"></a><span class="lineno"> 289</span>&#160; <span class="keywordtype">bool</span> <a class="code" href="../../d1/d1b/class_o_n___circle.html#a18dea3481899886bdce6567744195cca">Create</a>(</div><div class="line"><a name="l00290"></a><span class="lineno"> 290</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&amp; start_point,</div><div class="line"><a name="l00291"></a><span class="lineno"> 291</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp; dir_at_start,</div><div class="line"><a name="l00292"></a><span class="lineno"> 292</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&amp; end_point</div><div class="line"><a name="l00293"></a><span class="lineno"> 293</span>&#160; );</div><div class="line"><a name="l00294"></a><span class="lineno"> 294</span>&#160;</div><div class="line"><a name="l00295"></a><span class="lineno"> 295</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00296"></a><span class="lineno"> 296</span>&#160; <span class="comment">// Creates a text dump of the arc listing the normal, center</span></div><div class="line"><a name="l00297"></a><span class="lineno"> 297</span>&#160; <span class="comment">// radius, start point, end point, and angle.</span></div><div class="line"><a name="l00298"></a><span class="lineno"> 298</span>&#160; <span class="comment">// Remarks:</span></div><div class="line"><a name="l00299"></a><span class="lineno"> 299</span>&#160; <span class="comment">// Dump() is intended for debugging and is not suitable</span></div><div class="line"><a name="l00300"></a><span class="lineno"> 300</span>&#160; <span class="comment">// for creating high quality text descriptions of an</span></div><div class="line"><a name="l00301"></a><span class="lineno"> 301</span>&#160; <span class="comment">// arc.</span></div><div class="line"><a name="l00302"></a><span class="lineno"> 302</span>&#160; <span class="keywordtype">void</span> Dump( <a class="code" href="../../d2/da3/class_o_n___text_log.html">ON_TextLog</a>&amp; dump ) <span class="keyword">const</span>;</div><div class="line"><a name="l00303"></a><span class="lineno"> 303</span>&#160;</div><div class="line"><a name="l00304"></a><span class="lineno"> 304</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00305"></a><span class="lineno"> 305</span>&#160; <span class="comment">// Checks an arc to make sure it is valid.</span></div><div class="line"><a name="l00306"></a><span class="lineno"> 306</span>&#160; <span class="comment">// Detail:</span></div><div class="line"><a name="l00307"></a><span class="lineno"> 307</span>&#160; <span class="comment">// Radius&gt;0 and 0&lt;AngleRadians()&lt;=2 ON_PI</span></div><div class="line"><a name="l00308"></a><span class="lineno"> 308</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00309"></a><span class="lineno"> 309</span>&#160; <span class="comment">// true if the arc is valid.</span></div><div class="line"><a name="l00310"></a><span class="lineno"> 310</span>&#160; <span class="keywordtype">bool</span> <a class="code" href="../../d1/d1b/class_o_n___circle.html#aa8c3054ce83d5c219976aac30d1cb17b">IsValid</a>() <span class="keyword">const</span>;</div><div class="line"><a name="l00311"></a><span class="lineno"> 311</span>&#160;</div><div class="line"><a name="l00312"></a><span class="lineno"> 312</span>&#160; <span class="comment">// Description: </span></div><div class="line"><a name="l00313"></a><span class="lineno"> 313</span>&#160; <span class="comment">// Get arc&#39;s 3d axis aligned bounding box.</span></div><div class="line"><a name="l00314"></a><span class="lineno"> 314</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00315"></a><span class="lineno"> 315</span>&#160; <span class="comment">// 3d bounding box.</span></div><div class="line"><a name="l00316"></a><span class="lineno"> 316</span>&#160; <a class="code" href="../../d1/d17/class_o_n___bounding_box.html">ON_BoundingBox</a> <a class="code" href="../../d1/d1b/class_o_n___circle.html#a87801ea7565437462087d0b54ea66416">BoundingBox</a>() <span class="keyword">const</span>;</div><div class="line"><a name="l00317"></a><span class="lineno"> 317</span>&#160;</div><div class="line"><a name="l00318"></a><span class="lineno"> 318</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00319"></a><span class="lineno"> 319</span>&#160; <span class="comment">// Get arc&#39;s 3d axis aligned bounding box or the</span></div><div class="line"><a name="l00320"></a><span class="lineno"> 320</span>&#160; <span class="comment">// union of the input box with the arc&#39;s bounding box.</span></div><div class="line"><a name="l00321"></a><span class="lineno"> 321</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00322"></a><span class="lineno"> 322</span>&#160; <span class="comment">// bbox - [in/out] 3d axis aligned bounding box</span></div><div class="line"><a name="l00323"></a><span class="lineno"> 323</span>&#160; <span class="comment">// bGrowBox - [in] (default=false) </span></div><div class="line"><a name="l00324"></a><span class="lineno"> 324</span>&#160; <span class="comment">// If true, then the union of the input bbox and the </span></div><div class="line"><a name="l00325"></a><span class="lineno"> 325</span>&#160; <span class="comment">// arc&#39;s bounding box is returned in bbox. </span></div><div class="line"><a name="l00326"></a><span class="lineno"> 326</span>&#160; <span class="comment">// If false, the arc&#39;s bounding box is returned in bbox.</span></div><div class="line"><a name="l00327"></a><span class="lineno"> 327</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00328"></a><span class="lineno"> 328</span>&#160; <span class="comment">// true if arc has bounding box and calculation was successful.</span></div><div class="line"><a name="l00329"></a><span class="lineno"> 329</span>&#160; <span class="keywordtype">bool</span> GetBoundingBox(</div><div class="line"><a name="l00330"></a><span class="lineno"> 330</span>&#160; <a class="code" href="../../d1/d17/class_o_n___bounding_box.html">ON_BoundingBox</a>&amp; bbox,</div><div class="line"><a name="l00331"></a><span class="lineno"> 331</span>&#160; <span class="keywordtype">int</span> bGrowBox = <span class="keyword">false</span></div><div class="line"><a name="l00332"></a><span class="lineno"> 332</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00333"></a><span class="lineno"> 333</span>&#160;</div><div class="line"><a name="l00334"></a><span class="lineno"> 334</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00335"></a><span class="lineno"> 335</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00336"></a><span class="lineno"> 336</span>&#160;<span class="comment"> Get tight bounding box.</span></div><div class="line"><a name="l00337"></a><span class="lineno"> 337</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l00338"></a><span class="lineno"> 338</span>&#160;<span class="comment"> tight_bbox - [in/out] tight bounding box</span></div><div class="line"><a name="l00339"></a><span class="lineno"> 339</span>&#160;<span class="comment"> bGrowBox -[in] (default=false) </span></div><div class="line"><a name="l00340"></a><span class="lineno"> 340</span>&#160;<span class="comment"> If true and the input tight_bbox is valid, then returned</span></div><div class="line"><a name="l00341"></a><span class="lineno"> 341</span>&#160;<span class="comment"> tight_bbox is the union of the input tight_bbox and the </span></div><div class="line"><a name="l00342"></a><span class="lineno"> 342</span>&#160;<span class="comment"> arc&#39;s tight bounding box.</span></div><div class="line"><a name="l00343"></a><span class="lineno"> 343</span>&#160;<span class="comment"> xform -[in] (default=nullptr)</span></div><div class="line"><a name="l00344"></a><span class="lineno"> 344</span>&#160;<span class="comment"> If not nullptr, the tight bounding box of the transformed</span></div><div class="line"><a name="l00345"></a><span class="lineno"> 345</span>&#160;<span class="comment"> arc is calculated. The arc is not modified.</span></div><div class="line"><a name="l00346"></a><span class="lineno"> 346</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00347"></a><span class="lineno"> 347</span>&#160;<span class="comment"> True if a valid tight_bbox is returned.</span></div><div class="line"><a name="l00348"></a><span class="lineno"> 348</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00349"></a><span class="lineno"> 349</span>&#160; <span class="keywordtype">bool</span> <a class="code" href="../../d1/d1b/class_o_n___circle.html#ad2b7b40b23e536c7e3ef01d6e9d7fcce">GetTightBoundingBox</a>( </div><div class="line"><a name="l00350"></a><span class="lineno"> 350</span>&#160; <a class="code" href="../../d1/d17/class_o_n___bounding_box.html">ON_BoundingBox</a>&amp; tight_bbox, </div><div class="line"><a name="l00351"></a><span class="lineno"> 351</span>&#160; <span class="keywordtype">bool</span> bGrowBox = <span class="keyword">false</span>,</div><div class="line"><a name="l00352"></a><span class="lineno"> 352</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>* xform = <span class="keyword">nullptr</span></div><div class="line"><a name="l00353"></a><span class="lineno"> 353</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00354"></a><span class="lineno"> 354</span>&#160;</div><div class="line"><a name="l00355"></a><span class="lineno"> 355</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00356"></a><span class="lineno"> 356</span>&#160; <span class="comment">// true if the arc is a complete circle; i.e., the arc&#39;s</span></div><div class="line"><a name="l00357"></a><span class="lineno"> 357</span>&#160; <span class="comment">// angle is 360 degrees.</span></div><div class="line"><a name="l00358"></a><span class="lineno"> 358</span>&#160; <span class="keywordtype">bool</span> IsCircle() <span class="keyword">const</span>;</div><div class="line"><a name="l00359"></a><span class="lineno"> 359</span>&#160;</div><div class="line"><a name="l00360"></a><span class="lineno"> 360</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00361"></a><span class="lineno"> 361</span>&#160; <span class="comment">// The arc&#39;s subtended angle in radians.</span></div><div class="line"><a name="l00362"></a><span class="lineno"> 362</span>&#160; <span class="keywordtype">double</span> AngleRadians() <span class="keyword">const</span>;</div><div class="line"><a name="l00363"></a><span class="lineno"> 363</span>&#160;</div><div class="line"><a name="l00364"></a><span class="lineno"> 364</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00365"></a><span class="lineno"> 365</span>&#160; <span class="comment">// The arc&#39;s subtended angle in degrees.</span></div><div class="line"><a name="l00366"></a><span class="lineno"> 366</span>&#160; <span class="keywordtype">double</span> AngleDegrees() <span class="keyword">const</span>;</div><div class="line"><a name="l00367"></a><span class="lineno"> 367</span>&#160;</div><div class="line"><a name="l00368"></a><span class="lineno"> 368</span>&#160;</div><div class="line"><a name="l00369"></a><span class="lineno"> 369</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00370"></a><span class="lineno"> 370</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00371"></a><span class="lineno"> 371</span>&#160;<span class="comment"> Get evaluation domain.</span></div><div class="line"><a name="l00372"></a><span class="lineno"> 372</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00373"></a><span class="lineno"> 373</span>&#160;<span class="comment"> Evaluation domain (same as DomainRadians()).</span></div><div class="line"><a name="l00374"></a><span class="lineno"> 374</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00375"></a><span class="lineno"> 375</span>&#160; <a class="code" href="../../dc/dc7/class_o_n___interval.html">ON_Interval</a> Domain() <span class="keyword">const</span>;</div><div class="line"><a name="l00376"></a><span class="lineno"> 376</span>&#160;</div><div class="line"><a name="l00377"></a><span class="lineno"> 377</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00378"></a><span class="lineno"> 378</span>&#160; <span class="comment">// The arc&#39;s domain in radians.</span></div><div class="line"><a name="l00379"></a><span class="lineno"> 379</span>&#160; <a class="code" href="../../dc/dc7/class_o_n___interval.html">ON_Interval</a> DomainRadians() <span class="keyword">const</span>;</div><div class="line"><a name="l00380"></a><span class="lineno"> 380</span>&#160;</div><div class="line"><a name="l00381"></a><span class="lineno"> 381</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00382"></a><span class="lineno"> 382</span>&#160; <span class="comment">// The arc&#39;s domain in degrees.</span></div><div class="line"><a name="l00383"></a><span class="lineno"> 383</span>&#160; <a class="code" href="../../dc/dc7/class_o_n___interval.html">ON_Interval</a> DomainDegrees() <span class="keyword">const</span>;</div><div class="line"><a name="l00384"></a><span class="lineno"> 384</span>&#160;</div><div class="line"><a name="l00385"></a><span class="lineno"> 385</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00386"></a><span class="lineno"> 386</span>&#160; <span class="comment">// Set arc&#39;s subtended angle in radians.</span></div><div class="line"><a name="l00387"></a><span class="lineno"> 387</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00388"></a><span class="lineno"> 388</span>&#160; <span class="comment">// angle_in_radians - [in] 0 &lt;= angle_in_radians &lt;= 2.0*ON_PI</span></div><div class="line"><a name="l00389"></a><span class="lineno"> 389</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00390"></a><span class="lineno"> 390</span>&#160; <span class="keywordtype">bool</span> SetAngleRadians(</div><div class="line"><a name="l00391"></a><span class="lineno"> 391</span>&#160; <span class="keywordtype">double</span> angle_in_radians</div><div class="line"><a name="l00392"></a><span class="lineno"> 392</span>&#160; );</div><div class="line"><a name="l00393"></a><span class="lineno"> 393</span>&#160;</div><div class="line"><a name="l00394"></a><span class="lineno"> 394</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00395"></a><span class="lineno"> 395</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00396"></a><span class="lineno"> 396</span>&#160;<span class="comment"> Set arc&#39;s angle interval in radians.</span></div><div class="line"><a name="l00397"></a><span class="lineno"> 397</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l00398"></a><span class="lineno"> 398</span>&#160;<span class="comment"> angle_in_radians - [in] increasing interval with </span></div><div class="line"><a name="l00399"></a><span class="lineno"> 399</span>&#160;<span class="comment"> start and end angle in radians.</span></div><div class="line"><a name="l00400"></a><span class="lineno"> 400</span>&#160;<span class="comment"> Length of the interval &lt;= 2.0*ON_PI.</span></div><div class="line"><a name="l00401"></a><span class="lineno"> 401</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00402"></a><span class="lineno"> 402</span>&#160;<span class="comment"> true if successful. </span></div><div class="line"><a name="l00403"></a><span class="lineno"> 403</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00404"></a><span class="lineno"> 404</span>&#160; <span class="keywordtype">bool</span> SetAngleIntervalRadians(</div><div class="line"><a name="l00405"></a><span class="lineno"> 405</span>&#160; <a class="code" href="../../dc/dc7/class_o_n___interval.html">ON_Interval</a> angle_in_radians</div><div class="line"><a name="l00406"></a><span class="lineno"> 406</span>&#160; );</div><div class="line"><a name="l00407"></a><span class="lineno"> 407</span>&#160;</div><div class="line"><a name="l00408"></a><span class="lineno"> 408</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00409"></a><span class="lineno"> 409</span>&#160; <span class="comment">// Set arc&#39;s domain as a subdomain of the circle.</span></div><div class="line"><a name="l00410"></a><span class="lineno"> 410</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00411"></a><span class="lineno"> 411</span>&#160; <span class="comment">// domain_radian - [in] 0 &lt; domain_radian[1] - domain_radian[0] &lt;= 2.0 * ON*PI</span></div><div class="line"><a name="l00412"></a><span class="lineno"> 412</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00413"></a><span class="lineno"> 413</span>&#160; <span class="keywordtype">bool</span> Trim(</div><div class="line"><a name="l00414"></a><span class="lineno"> 414</span>&#160; <a class="code" href="../../dc/dc7/class_o_n___interval.html">ON_Interval</a> domain_radian</div><div class="line"><a name="l00415"></a><span class="lineno"> 415</span>&#160; );</div><div class="line"><a name="l00416"></a><span class="lineno"> 416</span>&#160;</div><div class="line"><a name="l00417"></a><span class="lineno"> 417</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00418"></a><span class="lineno"> 418</span>&#160; <span class="comment">// Set arc&#39;s subtended angle in degrees.</span></div><div class="line"><a name="l00419"></a><span class="lineno"> 419</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00420"></a><span class="lineno"> 420</span>&#160; <span class="comment">// angle_in_degrees - [in] 0 &lt; angle_in_degrees &lt;= 360</span></div><div class="line"><a name="l00421"></a><span class="lineno"> 421</span>&#160; <span class="keywordtype">bool</span> SetAngleDegrees(</div><div class="line"><a name="l00422"></a><span class="lineno"> 422</span>&#160; <span class="keywordtype">double</span> angle_in_degrees</div><div class="line"><a name="l00423"></a><span class="lineno"> 423</span>&#160; );</div><div class="line"><a name="l00424"></a><span class="lineno"> 424</span>&#160;</div><div class="line"><a name="l00425"></a><span class="lineno"> 425</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00426"></a><span class="lineno"> 426</span>&#160; <span class="comment">// Point at start of the arc.</span></div><div class="line"><a name="l00427"></a><span class="lineno"> 427</span>&#160; <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> StartPoint() <span class="keyword">const</span>;</div><div class="line"><a name="l00428"></a><span class="lineno"> 428</span>&#160;</div><div class="line"><a name="l00429"></a><span class="lineno"> 429</span>&#160;</div><div class="line"><a name="l00430"></a><span class="lineno"> 430</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00431"></a><span class="lineno"> 431</span>&#160; <span class="comment">// Point at middle of the arc.</span></div><div class="line"><a name="l00432"></a><span class="lineno"> 432</span>&#160; <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> MidPoint() <span class="keyword">const</span>;</div><div class="line"><a name="l00433"></a><span class="lineno"> 433</span>&#160;</div><div class="line"><a name="l00434"></a><span class="lineno"> 434</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00435"></a><span class="lineno"> 435</span>&#160; <span class="comment">// Point at end of the arc.</span></div><div class="line"><a name="l00436"></a><span class="lineno"> 436</span>&#160; <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> EndPoint() <span class="keyword">const</span>;</div><div class="line"><a name="l00437"></a><span class="lineno"> 437</span>&#160;</div><div class="line"><a name="l00438"></a><span class="lineno"> 438</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00439"></a><span class="lineno"> 439</span>&#160; <span class="comment">// Get the point on the arc that is closest to test_point.</span></div><div class="line"><a name="l00440"></a><span class="lineno"> 440</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00441"></a><span class="lineno"> 441</span>&#160; <span class="comment">// test_point - [in]</span></div><div class="line"><a name="l00442"></a><span class="lineno"> 442</span>&#160; <span class="comment">// t - [out] parameter (in radians) of the point on the arc that</span></div><div class="line"><a name="l00443"></a><span class="lineno"> 443</span>&#160; <span class="comment">// is closest to test_point. If test_point is the center</span></div><div class="line"><a name="l00444"></a><span class="lineno"> 444</span>&#160; <span class="comment">// of the arc, then the starting point of the arc is</span></div><div class="line"><a name="l00445"></a><span class="lineno"> 445</span>&#160; <span class="comment">// (arc.Domain()[0]) returned.</span></div><div class="line"><a name="l00446"></a><span class="lineno"> 446</span>&#160; <span class="keywordtype">bool</span> <a class="code" href="../../d1/d1b/class_o_n___circle.html#acc40bb221fa27f8b15be2719a8dc8375">ClosestPointTo</a>( </div><div class="line"><a name="l00447"></a><span class="lineno"> 447</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&amp; test_point, </div><div class="line"><a name="l00448"></a><span class="lineno"> 448</span>&#160; <span class="keywordtype">double</span>* t</div><div class="line"><a name="l00449"></a><span class="lineno"> 449</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00450"></a><span class="lineno"> 450</span>&#160;</div><div class="line"><a name="l00451"></a><span class="lineno"> 451</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00452"></a><span class="lineno"> 452</span>&#160; <span class="comment">// Get the point on the arc that is closest to test_point.</span></div><div class="line"><a name="l00453"></a><span class="lineno"> 453</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00454"></a><span class="lineno"> 454</span>&#160; <span class="comment">// test_point - [in]</span></div><div class="line"><a name="l00455"></a><span class="lineno"> 455</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00456"></a><span class="lineno"> 456</span>&#160; <span class="comment">// The point on the arc that is closest to test_point.</span></div><div class="line"><a name="l00457"></a><span class="lineno"> 457</span>&#160; <span class="comment">// If test_point is the center of the arc, then the </span></div><div class="line"><a name="l00458"></a><span class="lineno"> 458</span>&#160; <span class="comment">// starting point of the arc is returned.</span></div><div class="line"><a name="l00459"></a><span class="lineno"> 459</span>&#160; <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> <a class="code" href="../../d1/d1b/class_o_n___circle.html#acc40bb221fa27f8b15be2719a8dc8375">ClosestPointTo</a>( </div><div class="line"><a name="l00460"></a><span class="lineno"> 460</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&amp; test_point</div><div class="line"><a name="l00461"></a><span class="lineno"> 461</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00462"></a><span class="lineno"> 462</span>&#160;</div><div class="line"><a name="l00463"></a><span class="lineno"> 463</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00464"></a><span class="lineno"> 464</span>&#160; <span class="comment">// Length of the arc = radius*(subtended angle in radians).</span></div><div class="line"><a name="l00465"></a><span class="lineno"> 465</span>&#160; <span class="keywordtype">double</span> Length() <span class="keyword">const</span>;</div><div class="line"><a name="l00466"></a><span class="lineno"> 466</span>&#160;</div><div class="line"><a name="l00467"></a><span class="lineno"> 467</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00468"></a><span class="lineno"> 468</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00469"></a><span class="lineno"> 469</span>&#160;<span class="comment"> Area of the arc&#39;s sector. </span></div><div class="line"><a name="l00470"></a><span class="lineno"> 470</span>&#160;<span class="comment"> Remarks:</span></div><div class="line"><a name="l00471"></a><span class="lineno"> 471</span>&#160;<span class="comment"> The arc&#39;s sector is the region bounded by the arc,</span></div><div class="line"><a name="l00472"></a><span class="lineno"> 472</span>&#160;<span class="comment"> the line segment from the arc&#39;s end to the center,</span></div><div class="line"><a name="l00473"></a><span class="lineno"> 473</span>&#160;<span class="comment"> and the line segment from the center to the arc&#39;s</span></div><div class="line"><a name="l00474"></a><span class="lineno"> 474</span>&#160;<span class="comment"> start.</span></div><div class="line"><a name="l00475"></a><span class="lineno"> 475</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00476"></a><span class="lineno"> 476</span>&#160; <span class="keywordtype">double</span> SectorArea() <span class="keyword">const</span>;</div><div class="line"><a name="l00477"></a><span class="lineno"> 477</span>&#160;</div><div class="line"><a name="l00478"></a><span class="lineno"> 478</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00479"></a><span class="lineno"> 479</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00480"></a><span class="lineno"> 480</span>&#160;<span class="comment"> Area centroid of the arc&#39;s sector. </span></div><div class="line"><a name="l00481"></a><span class="lineno"> 481</span>&#160;<span class="comment"> Remarks:</span></div><div class="line"><a name="l00482"></a><span class="lineno"> 482</span>&#160;<span class="comment"> The arc&#39;s sector is the region bounded by the arc,</span></div><div class="line"><a name="l00483"></a><span class="lineno"> 483</span>&#160;<span class="comment"> the line segment from the arc&#39;s end to the center,</span></div><div class="line"><a name="l00484"></a><span class="lineno"> 484</span>&#160;<span class="comment"> and the line segment from the center to the arc&#39;s</span></div><div class="line"><a name="l00485"></a><span class="lineno"> 485</span>&#160;<span class="comment"> start.</span></div><div class="line"><a name="l00486"></a><span class="lineno"> 486</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00487"></a><span class="lineno"> 487</span>&#160; <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> SectorAreaCentroid() <span class="keyword">const</span>;</div><div class="line"><a name="l00488"></a><span class="lineno"> 488</span>&#160;</div><div class="line"><a name="l00489"></a><span class="lineno"> 489</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00490"></a><span class="lineno"> 490</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00491"></a><span class="lineno"> 491</span>&#160;<span class="comment"> Area of the arc&#39;s segment.</span></div><div class="line"><a name="l00492"></a><span class="lineno"> 492</span>&#160;<span class="comment"> Remarks:</span></div><div class="line"><a name="l00493"></a><span class="lineno"> 493</span>&#160;<span class="comment"> The arc&#39;s segment is the region bounded by the arc and</span></div><div class="line"><a name="l00494"></a><span class="lineno"> 494</span>&#160;<span class="comment"> the line segment from the arc&#39;s end to the arc&#39;s start.</span></div><div class="line"><a name="l00495"></a><span class="lineno"> 495</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00496"></a><span class="lineno"> 496</span>&#160; <span class="keywordtype">double</span> SegmentArea() <span class="keyword">const</span>;</div><div class="line"><a name="l00497"></a><span class="lineno"> 497</span>&#160;</div><div class="line"><a name="l00498"></a><span class="lineno"> 498</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00499"></a><span class="lineno"> 499</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00500"></a><span class="lineno"> 500</span>&#160;<span class="comment"> Area centroid of the arc&#39;s segment. </span></div><div class="line"><a name="l00501"></a><span class="lineno"> 501</span>&#160;<span class="comment"> Remarks:</span></div><div class="line"><a name="l00502"></a><span class="lineno"> 502</span>&#160;<span class="comment"> The arc&#39;s segment is the region bounded by the arc and</span></div><div class="line"><a name="l00503"></a><span class="lineno"> 503</span>&#160;<span class="comment"> the line segment from the arc&#39;s end to the arc&#39;s start.</span></div><div class="line"><a name="l00504"></a><span class="lineno"> 504</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00505"></a><span class="lineno"> 505</span>&#160; <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> SegmentAreaCentroid() <span class="keyword">const</span>;</div><div class="line"><a name="l00506"></a><span class="lineno"> 506</span>&#160;</div><div class="line"><a name="l00507"></a><span class="lineno"> 507</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00508"></a><span class="lineno"> 508</span>&#160; <span class="comment">// Reverse the orientation of the arc. Changes the domain</span></div><div class="line"><a name="l00509"></a><span class="lineno"> 509</span>&#160; <span class="comment">// from [a,b] to [-b.-a].</span></div><div class="line"><a name="l00510"></a><span class="lineno"> 510</span>&#160; <span class="keywordtype">bool</span> <a class="code" href="../../d1/d1b/class_o_n___circle.html#a0424a9512e2e9c726d13ba7141a7aac3">Reverse</a>();</div><div class="line"><a name="l00511"></a><span class="lineno"> 511</span>&#160;</div><div class="line"><a name="l00512"></a><span class="lineno"> 512</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00513"></a><span class="lineno"> 513</span>&#160; <span class="comment">// Get a rational degree 2 NURBS curve representation</span></div><div class="line"><a name="l00514"></a><span class="lineno"> 514</span>&#160; <span class="comment">// of the arc. Note that the parameterization of NURBS curve</span></div><div class="line"><a name="l00515"></a><span class="lineno"> 515</span>&#160; <span class="comment">// does not match arc&#39;s transcendental paramaterization. </span></div><div class="line"><a name="l00516"></a><span class="lineno"> 516</span>&#160; <span class="comment">// Use GetRadianFromNurbFormParameter() and</span></div><div class="line"><a name="l00517"></a><span class="lineno"> 517</span>&#160; <span class="comment">// GetParameterFromRadian() to convert between the NURBS curve </span></div><div class="line"><a name="l00518"></a><span class="lineno"> 518</span>&#160; <span class="comment">// parameter and the transcendental parameter</span></div><div class="line"><a name="l00519"></a><span class="lineno"> 519</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00520"></a><span class="lineno"> 520</span>&#160; <span class="comment">// nurbs_curve - [out] nurbs_curve returned here.</span></div><div class="line"><a name="l00521"></a><span class="lineno"> 521</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00522"></a><span class="lineno"> 522</span>&#160; <span class="comment">// 0 for failure and 2 for success.</span></div><div class="line"><a name="l00523"></a><span class="lineno"> 523</span>&#160; <span class="keywordtype">int</span> <a class="code" href="../../d1/d1b/class_o_n___circle.html#a929c90fe185faf98e5660f85e990ae96">GetNurbForm</a>(</div><div class="line"><a name="l00524"></a><span class="lineno"> 524</span>&#160; <a class="code" href="../../d3/d6a/class_o_n___nurbs_curve.html">ON_NurbsCurve</a>&amp; nurbs_curve</div><div class="line"><a name="l00525"></a><span class="lineno"> 525</span>&#160; ) <span class="keyword">const</span>; </div><div class="line"><a name="l00526"></a><span class="lineno"> 526</span>&#160;</div><div class="line"><a name="l00527"></a><span class="lineno"> 527</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00528"></a><span class="lineno"> 528</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00529"></a><span class="lineno"> 529</span>&#160;<span class="comment"> Convert a NURBS curve arc parameter to a arc radians parameter.</span></div><div class="line"><a name="l00530"></a><span class="lineno"> 530</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l00531"></a><span class="lineno"> 531</span>&#160;<span class="comment"> nurbs_parameter - [in]</span></div><div class="line"><a name="l00532"></a><span class="lineno"> 532</span>&#160;<span class="comment"> arc_radians_parameter - [out]</span></div><div class="line"><a name="l00533"></a><span class="lineno"> 533</span>&#160;<span class="comment"> Example:</span></div><div class="line"><a name="l00534"></a><span class="lineno"> 534</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00535"></a><span class="lineno"> 535</span>&#160;<span class="comment"> ON_Arc arc = ...;</span></div><div class="line"><a name="l00536"></a><span class="lineno"> 536</span>&#160;<span class="comment"> double nurbs_t = 1.2345; // some number in interval (0,2.0*ON_PI).</span></div><div class="line"><a name="l00537"></a><span class="lineno"> 537</span>&#160;<span class="comment"> double arc_t;</span></div><div class="line"><a name="l00538"></a><span class="lineno"> 538</span>&#160;<span class="comment"> arc.GetRadianFromNurbFormParameter( nurbs_t, &amp;arc_t );</span></div><div class="line"><a name="l00539"></a><span class="lineno"> 539</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00540"></a><span class="lineno"> 540</span>&#160;<span class="comment"> ON_NurbsCurve nurbs_curve;</span></div><div class="line"><a name="l00541"></a><span class="lineno"> 541</span>&#160;<span class="comment"> arc.GetNurbsForm( nurbs_curve );</span></div><div class="line"><a name="l00542"></a><span class="lineno"> 542</span>&#160;<span class="comment"> arc_pt = arc.PointAt(arc_t);</span></div><div class="line"><a name="l00543"></a><span class="lineno"> 543</span>&#160;<span class="comment"> nurbs_pt = nurbs_curve.PointAt(nurbs_t);</span></div><div class="line"><a name="l00544"></a><span class="lineno"> 544</span>&#160;<span class="comment"> // arc_pt and nurbs_pt will be the same</span></div><div class="line"><a name="l00545"></a><span class="lineno"> 545</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00546"></a><span class="lineno"> 546</span>&#160;<span class="comment"> Remarks:</span></div><div class="line"><a name="l00547"></a><span class="lineno"> 547</span>&#160;<span class="comment"> The NURBS curve parameter is with respect to the NURBS curve</span></div><div class="line"><a name="l00548"></a><span class="lineno"> 548</span>&#160;<span class="comment"> created by ON_Arc::GetNurbForm. At nurbs parameter values of </span></div><div class="line"><a name="l00549"></a><span class="lineno"> 549</span>&#160;<span class="comment"> 0.0, 0.5*ON_PI, ON_PI, 1.5*ON_PI, and 2.0*ON_PI, the nurbs</span></div><div class="line"><a name="l00550"></a><span class="lineno"> 550</span>&#160;<span class="comment"> parameter and radian parameter are the same. At all other</span></div><div class="line"><a name="l00551"></a><span class="lineno"> 551</span>&#160;<span class="comment"> values the nurbs and radian parameter values are different.</span></div><div class="line"><a name="l00552"></a><span class="lineno"> 552</span>&#160;<span class="comment"> See Also:</span></div><div class="line"><a name="l00553"></a><span class="lineno"> 553</span>&#160;<span class="comment"> ON_Arc::GetNurbFormParameterFromRadian</span></div><div class="line"><a name="l00554"></a><span class="lineno"> 554</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00555"></a><span class="lineno"> 555</span>&#160; <span class="keywordtype">bool</span> <a class="code" href="../../d1/d1b/class_o_n___circle.html#a6f23b490f574755d8f5fa0cf4b8bb833">GetRadianFromNurbFormParameter</a>(</div><div class="line"><a name="l00556"></a><span class="lineno"> 556</span>&#160; <span class="keywordtype">double</span> nurbs_parameter,</div><div class="line"><a name="l00557"></a><span class="lineno"> 557</span>&#160; <span class="keywordtype">double</span>* arc_radians_parameter</div><div class="line"><a name="l00558"></a><span class="lineno"> 558</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00559"></a><span class="lineno"> 559</span>&#160;</div><div class="line"><a name="l00560"></a><span class="lineno"> 560</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00561"></a><span class="lineno"> 561</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00562"></a><span class="lineno"> 562</span>&#160;<span class="comment"> Convert a arc radians parameter to a NURBS curve arc parameter.</span></div><div class="line"><a name="l00563"></a><span class="lineno"> 563</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l00564"></a><span class="lineno"> 564</span>&#160;<span class="comment"> arc_radians_parameter - [in] 0.0 to 2.0*ON_PI</span></div><div class="line"><a name="l00565"></a><span class="lineno"> 565</span>&#160;<span class="comment"> nurbs_parameter - [out]</span></div><div class="line"><a name="l00566"></a><span class="lineno"> 566</span>&#160;<span class="comment"> Example:</span></div><div class="line"><a name="l00567"></a><span class="lineno"> 567</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00568"></a><span class="lineno"> 568</span>&#160;<span class="comment"> ON_Arc arc = ...;</span></div><div class="line"><a name="l00569"></a><span class="lineno"> 569</span>&#160;<span class="comment"> double arc_t = 1.2345; // some number in interval (0,2.0*ON_PI).</span></div><div class="line"><a name="l00570"></a><span class="lineno"> 570</span>&#160;<span class="comment"> double nurbs_t;</span></div><div class="line"><a name="l00571"></a><span class="lineno"> 571</span>&#160;<span class="comment"> arc.GetNurbFormParameterFromRadian( arc_t, &amp;nurbs_t );</span></div><div class="line"><a name="l00572"></a><span class="lineno"> 572</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00573"></a><span class="lineno"> 573</span>&#160;<span class="comment"> ON_NurbsCurve nurbs_curve;</span></div><div class="line"><a name="l00574"></a><span class="lineno"> 574</span>&#160;<span class="comment"> arc.GetNurbsForm( nurbs_curve );</span></div><div class="line"><a name="l00575"></a><span class="lineno"> 575</span>&#160;<span class="comment"> arc_pt = arc.PointAt(arc_t);</span></div><div class="line"><a name="l00576"></a><span class="lineno"> 576</span>&#160;<span class="comment"> nurbs_pt = nurbs_curve.PointAt(nurbs_t);</span></div><div class="line"><a name="l00577"></a><span class="lineno"> 577</span>&#160;<span class="comment"> // arc_pt and nurbs_pt will be the same</span></div><div class="line"><a name="l00578"></a><span class="lineno"> 578</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00579"></a><span class="lineno"> 579</span>&#160;<span class="comment"> Remarks:</span></div><div class="line"><a name="l00580"></a><span class="lineno"> 580</span>&#160;<span class="comment"> The NURBS curve parameter is with respect to the NURBS curve</span></div><div class="line"><a name="l00581"></a><span class="lineno"> 581</span>&#160;<span class="comment"> created by ON_Arc::GetNurbForm. At radian values of </span></div><div class="line"><a name="l00582"></a><span class="lineno"> 582</span>&#160;<span class="comment"> 0.0, 0.5*ON_PI, ON_PI, 1.5*ON_PI, and 2.0*ON_PI, the nurbs</span></div><div class="line"><a name="l00583"></a><span class="lineno"> 583</span>&#160;<span class="comment"> parameter and radian parameter are the same. At all other</span></div><div class="line"><a name="l00584"></a><span class="lineno"> 584</span>&#160;<span class="comment"> values the nurbs and radian parameter values are different.</span></div><div class="line"><a name="l00585"></a><span class="lineno"> 585</span>&#160;<span class="comment"> See Also:</span></div><div class="line"><a name="l00586"></a><span class="lineno"> 586</span>&#160;<span class="comment"> ON_Arc::GetNurbFormParameterFromRadian</span></div><div class="line"><a name="l00587"></a><span class="lineno"> 587</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00588"></a><span class="lineno"> 588</span>&#160; <span class="keywordtype">bool</span> <a class="code" href="../../d1/d1b/class_o_n___circle.html#a92b460aff5c8c9d01542e55660e2cd2b">GetNurbFormParameterFromRadian</a>(</div><div class="line"><a name="l00589"></a><span class="lineno"> 589</span>&#160; <span class="keywordtype">double</span> arc_radians_parameter,</div><div class="line"><a name="l00590"></a><span class="lineno"> 590</span>&#160; <span class="keywordtype">double</span>* nurbs_parameter</div><div class="line"><a name="l00591"></a><span class="lineno"> 591</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00592"></a><span class="lineno"> 592</span>&#160;</div><div class="line"><a name="l00593"></a><span class="lineno"> 593</span>&#160;<span class="keyword">private</span>:</div><div class="line"><a name="l00594"></a><span class="lineno"> 594</span>&#160; <span class="keyword">friend</span> <span class="keywordtype">bool</span> <a class="code" href="../../db/d16/class_o_n___binary_archive.html#a81de4cce6b1e4d507361c14f3d06026d">ON_BinaryArchive::ReadArc</a>( <a class="code" href="../../d3/ddf/class_o_n___arc.html">ON_Arc</a>&amp; );</div><div class="line"><a name="l00595"></a><span class="lineno"> 595</span>&#160; <span class="keyword">friend</span> <span class="keywordtype">bool</span> <a class="code" href="../../db/d16/class_o_n___binary_archive.html#adcfa82d790849241d173e44b79fbd269">ON_BinaryArchive::WriteArc</a>( <span class="keyword">const</span> <a class="code" href="../../d3/ddf/class_o_n___arc.html">ON_Arc</a>&amp; );</div><div class="line"><a name="l00596"></a><span class="lineno"> 596</span>&#160;</div><div class="line"><a name="l00597"></a><span class="lineno"> 597</span>&#160; <span class="comment">// increasing interval with start and end angle in radians</span></div><div class="line"><a name="l00598"></a><span class="lineno"> 598</span>&#160; <a class="code" href="../../dc/dc7/class_o_n___interval.html">ON_Interval</a> m_angle = <a class="code" href="../../dc/dc7/class_o_n___interval.html#ad843bb578a893163ff9102a2f1a6d996">ON_Interval::ZeroToTwoPi</a>;</div><div class="line"><a name="l00599"></a><span class="lineno"> 599</span>&#160;};</div><div class="line"><a name="l00600"></a><span class="lineno"> 600</span>&#160;</div><div class="line"><a name="l00601"></a><span class="lineno"> 601</span>&#160;<span class="preprocessor">#endif</span></div><div class="line"><a name="l00602"></a><span class="lineno"> 602</span>&#160;</div><div class="ttc" id="class_o_n___circle_html_ad2b7b40b23e536c7e3ef01d6e9d7fcce"><div class="ttname"><a href="../../d1/d1b/class_o_n___circle.html#ad2b7b40b23e536c7e3ef01d6e9d7fcce">ON_Circle::GetTightBoundingBox</a></div><div class="ttdeci">bool GetTightBoundingBox(ON_BoundingBox &amp;tight_bbox, bool bGrowBox=false, const ON_Xform *xform=nullptr) const</div><div class="ttdoc">Get tight bounding box. </div></div>
<div class="ttc" id="class_o_n___circle_html_a6f23b490f574755d8f5fa0cf4b8bb833"><div class="ttname"><a href="../../d1/d1b/class_o_n___circle.html#a6f23b490f574755d8f5fa0cf4b8bb833">ON_Circle::GetRadianFromNurbFormParameter</a></div><div class="ttdeci">bool GetRadianFromNurbFormParameter(double nurbs_parameter, double *circle_radians_parameter) const</div><div class="ttdoc">Convert a NURBS curve circle parameter to a circle radians parameter. </div></div>
<div class="ttc" id="class_o_n___arc_html"><div class="ttname"><a href="../../d3/ddf/class_o_n___arc.html">ON_Arc</a></div><div class="ttdoc">An ON_Arc is a subcurve of 3d circle. </div><div class="ttdef"><b>Definition:</b> opennurbs_arc.h:33</div></div>
<div class="ttc" id="class_o_n___interval_html_ad843bb578a893163ff9102a2f1a6d996"><div class="ttname"><a href="../../dc/dc7/class_o_n___interval.html#ad843bb578a893163ff9102a2f1a6d996">ON_Interval::ZeroToTwoPi</a></div><div class="ttdeci">static const ON_Interval ZeroToTwoPi</div><div class="ttdef"><b>Definition:</b> opennurbs_point.h:51</div></div>
<div class="ttc" id="class_o_n___binary_archive_html_a81de4cce6b1e4d507361c14f3d06026d"><div class="ttname"><a href="../../db/d16/class_o_n___binary_archive.html#a81de4cce6b1e4d507361c14f3d06026d">ON_BinaryArchive::ReadArc</a></div><div class="ttdeci">bool ReadArc(ON_Arc &amp;)</div></div>
<div class="ttc" id="class_o_n___circle_html_a929c90fe185faf98e5660f85e990ae96"><div class="ttname"><a href="../../d1/d1b/class_o_n___circle.html#a929c90fe185faf98e5660f85e990ae96">ON_Circle::GetNurbForm</a></div><div class="ttdeci">int GetNurbForm(ON_NurbsCurve &amp;nurbs_curve) const</div><div class="ttdoc">Get a four span rational degree 2 NURBS circle representation of the circle. </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__2d_point_html"><div class="ttname"><a href="../../dd/dd9/class_o_n__2d_point.html">ON_2dPoint</a></div><div class="ttdef"><b>Definition:</b> opennurbs_point.h:277</div></div>
<div class="ttc" id="class_o_n___circle_html_a92b460aff5c8c9d01542e55660e2cd2b"><div class="ttname"><a href="../../d1/d1b/class_o_n___circle.html#a92b460aff5c8c9d01542e55660e2cd2b">ON_Circle::GetNurbFormParameterFromRadian</a></div><div class="ttdeci">bool GetNurbFormParameterFromRadian(double circle_radians_parameter, double *nurbs_parameter) const</div><div class="ttdoc">Convert a circle radians parameter to a NURBS curve circle parameter. </div></div>
<div class="ttc" id="class_o_n___binary_archive_html_adcfa82d790849241d173e44b79fbd269"><div class="ttname"><a href="../../db/d16/class_o_n___binary_archive.html#adcfa82d790849241d173e44b79fbd269">ON_BinaryArchive::WriteArc</a></div><div class="ttdeci">bool WriteArc(const ON_Arc &amp;)</div></div>
<div class="ttc" id="class_o_n___bounding_box_html"><div class="ttname"><a href="../../d1/d17/class_o_n___bounding_box.html">ON_BoundingBox</a></div><div class="ttdef"><b>Definition:</b> opennurbs_bounding_box.h:25</div></div>
<div class="ttc" id="class_o_n___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___circle_html_a87801ea7565437462087d0b54ea66416"><div class="ttname"><a href="../../d1/d1b/class_o_n___circle.html#a87801ea7565437462087d0b54ea66416">ON_Circle::BoundingBox</a></div><div class="ttdeci">ON_BoundingBox BoundingBox() const</div></div>
<div class="ttc" id="class_o_n___circle_html_aa8c3054ce83d5c219976aac30d1cb17b"><div class="ttname"><a href="../../d1/d1b/class_o_n___circle.html#aa8c3054ce83d5c219976aac30d1cb17b">ON_Circle::IsValid</a></div><div class="ttdeci">bool IsValid() const</div><div class="ttdoc">A Valid circle has m_radius&gt;0 and m_plane.IsValid(). </div></div>
<div class="ttc" id="class_o_n___circle_html_a18dea3481899886bdce6567744195cca"><div class="ttname"><a href="../../d1/d1b/class_o_n___circle.html#a18dea3481899886bdce6567744195cca">ON_Circle::Create</a></div><div class="ttdeci">bool Create(const ON_Plane &amp;plane, double radius)</div></div>
<div class="ttc" id="class_o_n___nurbs_curve_html"><div class="ttname"><a href="../../d3/d6a/class_o_n___nurbs_curve.html">ON_NurbsCurve</a></div><div class="ttdef"><b>Definition:</b> opennurbs_nurbscurve.h:26</div></div>
<div class="ttc" id="class_o_n___text_log_html"><div class="ttname"><a href="../../d2/da3/class_o_n___text_log.html">ON_TextLog</a></div><div class="ttdef"><b>Definition:</b> opennurbs_textlog.h:20</div></div>
<div class="ttc" id="class_o_n___circle_html_abe9b4cbee22108f4f4f349197673a23e"><div class="ttname"><a href="../../d1/d1b/class_o_n___circle.html#abe9b4cbee22108f4f4f349197673a23e">ON_Circle::UnitCircle</a></div><div class="ttdeci">static const ON_Circle UnitCircle</div><div class="ttdef"><b>Definition:</b> opennurbs_circle.h:44</div></div>
<div class="ttc" id="class_o_n___circle_html_acc40bb221fa27f8b15be2719a8dc8375"><div class="ttname"><a href="../../d1/d1b/class_o_n___circle.html#acc40bb221fa27f8b15be2719a8dc8375">ON_Circle::ClosestPointTo</a></div><div class="ttdeci">bool ClosestPointTo(const ON_3dPoint &amp;point, double *t) const</div><div class="ttdoc">returns parameters of point on circle that is closest to given point </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__2d_vector_html"><div class="ttname"><a href="../../da/d08/class_o_n__2d_vector.html">ON_2dVector</a></div><div class="ttdef"><b>Definition:</b> opennurbs_point.h:839</div></div>
<div class="ttc" id="class_o_n__3d_vector_html"><div class="ttname"><a href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a></div><div class="ttdef"><b>Definition:</b> opennurbs_point.h:1152</div></div>
<div class="ttc" id="class_o_n___interval_html"><div class="ttname"><a href="../../dc/dc7/class_o_n___interval.html">ON_Interval</a></div><div class="ttdef"><b>Definition:</b> opennurbs_point.h:46</div></div>
<div class="ttc" id="class_o_n___circle_html_a0424a9512e2e9c726d13ba7141a7aac3"><div class="ttname"><a href="../../d1/d1b/class_o_n___circle.html#a0424a9512e2e9c726d13ba7141a7aac3">ON_Circle::Reverse</a></div><div class="ttdeci">bool Reverse()</div></div>
<div class="ttc" id="class_o_n___circle_html_a6616e3d52ad3467634c05892c083a935"><div class="ttname"><a href="../../d1/d1b/class_o_n___circle.html#a6616e3d52ad3467634c05892c083a935">ON_Circle::operator=</a></div><div class="ttdeci">ON_Circle &amp; operator=(const ON_Circle &amp;)=default</div></div>
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