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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span>&#160;<span class="comment">/* $NoKeywords: $ */</span></div><div class="line"><a name="l00002"></a><span class="lineno"> 2</span>&#160;<span class="comment">/*</span></div><div class="line"><a name="l00003"></a><span class="lineno"> 3</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00004"></a><span class="lineno"> 4</span>&#160;<span class="comment">// Copyright (c) 1993-2012 Robert McNeel &amp; Associates. All rights reserved.</span></div><div class="line"><a name="l00005"></a><span class="lineno"> 5</span>&#160;<span class="comment">// OpenNURBS, Rhinoceros, and Rhino3D are registered trademarks of Robert</span></div><div class="line"><a name="l00006"></a><span class="lineno"> 6</span>&#160;<span class="comment">// McNeel &amp; Associates.</span></div><div class="line"><a name="l00007"></a><span class="lineno"> 7</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00008"></a><span class="lineno"> 8</span>&#160;<span class="comment">// THIS SOFTWARE IS PROVIDED &quot;AS IS&quot; WITHOUT EXPRESS OR IMPLIED WARRANTY.</span></div><div class="line"><a name="l00009"></a><span class="lineno"> 9</span>&#160;<span class="comment">// ALL IMPLIED WARRANTIES OF FITNESS FOR ANY PARTICULAR PURPOSE AND OF</span></div><div class="line"><a name="l00010"></a><span class="lineno"> 10</span>&#160;<span class="comment">// MERCHANTABILITY ARE HEREBY DISCLAIMED.</span></div><div class="line"><a name="l00011"></a><span class="lineno"> 11</span>&#160;<span class="comment">// </span></div><div class="line"><a name="l00012"></a><span class="lineno"> 12</span>&#160;<span class="comment">// For complete openNURBS copyright information see &lt;http://www.opennurbs.org&gt;.</span></div><div class="line"><a name="l00013"></a><span class="lineno"> 13</span>&#160;<span class="comment">//</span><span class="comment"></span></div><div class="line"><a name="l00014"></a><span class="lineno"> 14</span>&#160;<span class="comment">////////////////////////////////////////////////////////////////</span></div><div class="line"><a name="l00015"></a><span class="lineno"> 15</span>&#160;<span class="comment"></span>*/</div><div class="line"><a name="l00016"></a><span class="lineno"> 16</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00017"></a><span class="lineno"> 17</span>&#160;<span class="comment">////////////////////////////////////////////////////////////////</span></div><div class="line"><a name="l00018"></a><span class="lineno"> 18</span>&#160;<span class="comment"></span><span class="comment">//</span></div><div class="line"><a name="l00019"></a><span class="lineno"> 19</span>&#160;<span class="comment">// defines ON_Xform (4 x 4 transformation matrix)</span></div><div class="line"><a name="l00020"></a><span class="lineno"> 20</span>&#160;<span class="comment">//</span><span class="comment"></span></div><div class="line"><a name="l00021"></a><span class="lineno"> 21</span>&#160;<span class="comment">////////////////////////////////////////////////////////////////</span></div><div class="line"><a name="l00022"></a><span class="lineno"> 22</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00023"></a><span class="lineno"> 23</span>&#160;<span class="preprocessor">#if !defined(ON_XFORM_INC_)</span></div><div class="line"><a name="l00024"></a><span class="lineno"> 24</span>&#160;<span class="preprocessor">#define ON_XFORM_INC_</span></div><div class="line"><a name="l00025"></a><span class="lineno"> 25</span>&#160;</div><div class="line"><a name="l00026"></a><span class="lineno"> 26</span>&#160;<span class="keyword">class </span><a class="code" href="../../d7/d20/class_o_n___matrix.html">ON_Matrix</a>;</div><div class="line"><a name="l00027"></a><span class="lineno"> 27</span>&#160;</div><div class="line"><a name="l00028"></a><span class="lineno"><a class="line" href="../../d3/d13/class_o_n___xform.html"> 28</a></span>&#160;<span class="keyword">class </span>ON_CLASS <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a></div><div class="line"><a name="l00029"></a><span class="lineno"> 29</span>&#160;{</div><div class="line"><a name="l00030"></a><span class="lineno"> 30</span>&#160;<span class="keyword">public</span>:</div><div class="line"><a name="l00031"></a><span class="lineno"> 31</span>&#160; <span class="comment">// ON_Xform IdentityTransformation diagonal = (1,1,1,1)</span></div><div class="line"><a name="l00032"></a><span class="lineno"><a class="line" href="../../d3/d13/class_o_n___xform.html#a4b990ccd63d5ffb4606d93a76361aba0"> 32</a></span>&#160; <span class="keyword">static</span> <span class="keyword">const</span> <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> <a class="code" href="../../d3/d13/class_o_n___xform.html#a4b990ccd63d5ffb4606d93a76361aba0">IdentityTransformation</a>;</div><div class="line"><a name="l00033"></a><span class="lineno"> 33</span>&#160;</div><div class="line"><a name="l00034"></a><span class="lineno"> 34</span>&#160; <span class="comment">// ON_Xform ZeroTransformation diagonal = (0,0,0,1)</span></div><div class="line"><a name="l00035"></a><span class="lineno"><a class="line" href="../../d3/d13/class_o_n___xform.html#a26441e6a7d8989849fa3ea86a68a03de"> 35</a></span>&#160; <span class="keyword">static</span> <span class="keyword">const</span> <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> <a class="code" href="../../d3/d13/class_o_n___xform.html#a26441e6a7d8989849fa3ea86a68a03de">ZeroTransformation</a>;</div><div class="line"><a name="l00036"></a><span class="lineno"> 36</span>&#160;</div><div class="line"><a name="l00037"></a><span class="lineno"> 37</span>&#160; <span class="comment">// ON_Xform::Zero4x4 - every coefficient is 0.0.</span></div><div class="line"><a name="l00038"></a><span class="lineno"><a class="line" href="../../d3/d13/class_o_n___xform.html#a1d3bdd807f1352d7f7dff6d0ab364bdb"> 38</a></span>&#160; <span class="keyword">static</span> <span class="keyword">const</span> <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> <a class="code" href="../../d3/d13/class_o_n___xform.html#a1d3bdd807f1352d7f7dff6d0ab364bdb">Zero4x4</a>;</div><div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160;</div><div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160; <span class="comment">// ON_Xform::Unset - every coefficient is ON_UNSET_VALUE</span></div><div class="line"><a name="l00041"></a><span class="lineno"><a class="line" href="../../d3/d13/class_o_n___xform.html#a76cecc9c0184d6febe9f38652dc7c9d4"> 41</a></span>&#160; <span class="keyword">static</span> <span class="keyword">const</span> <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> <a class="code" href="../../d3/d13/class_o_n___xform.html#a76cecc9c0184d6febe9f38652dc7c9d4">Unset</a>;</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; <span class="comment">// ON_Xform::Nan - every coefficient is ON_DBL_QNAN</span></div><div class="line"><a name="l00044"></a><span class="lineno"><a class="line" href="../../d3/d13/class_o_n___xform.html#a75bf00a40fd0675f4e9e16e499f4cd3a"> 44</a></span>&#160; <span class="keyword">static</span> <span class="keyword">const</span> <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> <a class="code" href="../../d3/d13/class_o_n___xform.html#a75bf00a40fd0675f4e9e16e499f4cd3a">Nan</a>;</div><div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160;</div><div class="line"><a name="l00046"></a><span class="lineno"><a class="line" href="../../d3/d13/class_o_n___xform.html#ae52aaae574f3a534ac7bfa5d47cbc610"> 46</a></span>&#160; <span class="keywordtype">double</span> m_xform[4][4]; <span class="comment">// [i][j] = row i, column j. I.e., </span></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">// [0][0] [0][1] [0][2] [0][3]</span></div><div class="line"><a name="l00049"></a><span class="lineno"> 49</span>&#160; <span class="comment">// [1][0] [1][1] [1][2] [1][3]</span></div><div class="line"><a name="l00050"></a><span class="lineno"> 50</span>&#160; <span class="comment">// [2][0] [2][1] [2][2] [2][3]</span></div><div class="line"><a name="l00051"></a><span class="lineno"> 51</span>&#160; <span class="comment">// [3][0] [3][1] [3][2] [3][3]</span></div><div class="line"><a name="l00052"></a><span class="lineno"> 52</span>&#160;</div><div class="line"><a name="l00053"></a><span class="lineno"> 53</span>&#160; <span class="comment">// Default constructor transformation has diagonal (0,0,0,1)</span></div><div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160; <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>();</div><div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160; ~<a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>() = <span class="keywordflow">default</span>;</div><div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160; <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>(<span class="keyword">const</span> <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>&amp;) = <span class="keywordflow">default</span>;</div><div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160; <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>&amp; operator=(<span class="keyword">const</span> <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>&amp;) = <span class="keywordflow">default</span>;</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="keywordtype">bool</span> operator==(<span class="keyword">const</span> <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>&amp; rhs) <span class="keyword">const</span>;</div><div class="line"><a name="l00060"></a><span class="lineno"> 60</span>&#160;</div><div class="line"><a name="l00061"></a><span class="lineno"> 61</span>&#160; <span class="keywordtype">bool</span> operator!=(<span class="keyword">const</span> <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>&amp; rhs) <span class="keyword">const</span>;</div><div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160;</div><div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160; <span class="comment">// Constructs transformation with diagonal (x,x,x,1)</span></div><div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160; <span class="keyword">explicit</span> <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>(</div><div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160; <span class="keywordtype">double</span> x</div><div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160; );</div><div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160;</div><div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00070"></a><span class="lineno"> 70</span>&#160;<span class="comment"> Transformation with diagonal (d,d,d,1).</span></div><div class="line"><a name="l00071"></a><span class="lineno"> 71</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00072"></a><span class="lineno"> 72</span>&#160; <span class="keyword">static</span> <span class="keyword">const</span> <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> DiagonalTransformation(</div><div class="line"><a name="l00073"></a><span class="lineno"> 73</span>&#160; <span class="keywordtype">double</span> d</div><div class="line"><a name="l00074"></a><span class="lineno"> 74</span>&#160; );</div><div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160;</div><div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00078"></a><span class="lineno"> 78</span>&#160;<span class="comment"> Transformation with diagonal (d0,d1,d2,1.0).</span></div><div class="line"><a name="l00079"></a><span class="lineno"> 79</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160; <span class="keyword">static</span> <span class="keyword">const</span> <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> DiagonalTransformation(</div><div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160; <span class="keywordtype">double</span> d0,</div><div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160; <span class="keywordtype">double</span> d1,</div><div class="line"><a name="l00083"></a><span class="lineno"> 83</span>&#160; <span class="keywordtype">double</span> d2</div><div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160; );</div><div class="line"><a name="l00085"></a><span class="lineno"> 85</span>&#160;</div><div class="line"><a name="l00086"></a><span class="lineno"> 86</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00087"></a><span class="lineno"> 87</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00088"></a><span class="lineno"> 88</span>&#160;<span class="comment"> Transformation with diagonal (d0,d1,d2,1.0).</span></div><div class="line"><a name="l00089"></a><span class="lineno"> 89</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00090"></a><span class="lineno"> 90</span>&#160; <span class="keyword">static</span> <span class="keyword">const</span> <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> DiagonalTransformation(</div><div class="line"><a name="l00091"></a><span class="lineno"> 91</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp; diagnoal</div><div class="line"><a name="l00092"></a><span class="lineno"> 92</span>&#160; );</div><div class="line"><a name="l00093"></a><span class="lineno"> 93</span>&#160;</div><div class="line"><a name="l00094"></a><span class="lineno"> 94</span>&#160;<span class="preprocessor">#if defined(ON_COMPILER_MSC)</span></div><div class="line"><a name="l00095"></a><span class="lineno"> 95</span>&#160; <span class="comment">// Microsoft&#39;s compiler won&#39;t pass double m[4][4] as a const double[4][4] arg.</span></div><div class="line"><a name="l00096"></a><span class="lineno"> 96</span>&#160; <span class="comment">// Gnu&#39;s compiler handles this.</span></div><div class="line"><a name="l00097"></a><span class="lineno"> 97</span>&#160; <span class="keyword">explicit</span> <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>( <span class="keywordtype">double</span>[4][4] ); <span class="comment">// from standard double m[4][4]</span></div><div class="line"><a name="l00098"></a><span class="lineno"> 98</span>&#160; <span class="keyword">explicit</span> <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>( <span class="keywordtype">float</span>[4][4] ); <span class="comment">// from standard float m[4][4]</span></div><div class="line"><a name="l00099"></a><span class="lineno"> 99</span>&#160;<span class="preprocessor">#endif</span></div><div class="line"><a name="l00100"></a><span class="lineno"> 100</span>&#160; </div><div class="line"><a name="l00101"></a><span class="lineno"> 101</span>&#160; <span class="keyword">explicit</span> <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>( <span class="keyword">const</span> <span class="keywordtype">double</span>[4][4] ); <span class="comment">// from standard double m[4][4]</span></div><div class="line"><a name="l00102"></a><span class="lineno"> 102</span>&#160; <span class="keyword">explicit</span> <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>( <span class="keyword">const</span> <span class="keywordtype">float</span>[4][4] ); <span class="comment">// from standard float m[4][4]</span></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="keyword">explicit</span> <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>( <span class="keyword">const</span> <span class="keywordtype">double</span>* ); <span class="comment">// from array of 16 doubles (row0,row1,row2,row3)</span></div><div class="line"><a name="l00105"></a><span class="lineno"> 105</span>&#160; <span class="keyword">explicit</span> <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>( <span class="keyword">const</span> <span class="keywordtype">float</span>* ); <span class="comment">// from array of 16 floats (row0,row1,row2,row3)</span></div><div class="line"><a name="l00106"></a><span class="lineno"> 106</span>&#160; </div><div class="line"><a name="l00107"></a><span class="lineno"> 107</span>&#160; <span class="keyword">explicit</span> <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>( <span class="keyword">const</span> <a class="code" href="../../d7/d20/class_o_n___matrix.html">ON_Matrix</a>&amp; ); <span class="comment">// from upper left 4x4 of an</span></div><div class="line"><a name="l00108"></a><span class="lineno"> 108</span>&#160; <span class="comment">// arbitrary matrix. Any missing</span></div><div class="line"><a name="l00109"></a><span class="lineno"> 109</span>&#160; <span class="comment">// rows/columns are set to identity. </span></div><div class="line"><a name="l00110"></a><span class="lineno"> 110</span>&#160; <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>(<span class="keyword">const</span> <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&amp; P, <span class="comment">// as a frame. </span></div><div class="line"><a name="l00111"></a><span class="lineno"> 111</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp; X, </div><div class="line"><a name="l00112"></a><span class="lineno"> 112</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp; Y, </div><div class="line"><a name="l00113"></a><span class="lineno"> 113</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp; Z); </div><div class="line"><a name="l00114"></a><span class="lineno"> 114</span>&#160;</div><div class="line"><a name="l00115"></a><span class="lineno"> 115</span>&#160; <span class="keywordtype">double</span>* operator[](<span class="keywordtype">int</span>);</div><div class="line"><a name="l00116"></a><span class="lineno"> 116</span>&#160; <span class="keyword">const</span> <span class="keywordtype">double</span>* operator[](<span class="keywordtype">int</span>) <span class="keyword">const</span>;</div><div class="line"><a name="l00117"></a><span class="lineno"> 117</span>&#160;</div><div class="line"><a name="l00118"></a><span class="lineno"> 118</span>&#160; <span class="comment">// xform = scalar results in a diagonal 3x3 with bottom row = 0,0,0,1</span></div><div class="line"><a name="l00119"></a><span class="lineno"> 119</span>&#160; <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>&amp; operator=( <span class="keyword">const</span> <a class="code" href="../../d7/d20/class_o_n___matrix.html">ON_Matrix</a>&amp; ); <span class="comment">// from upper left 4x4 of an</span></div><div class="line"><a name="l00120"></a><span class="lineno"> 120</span>&#160; <span class="comment">// arbitrary matrix. Any missing</span></div><div class="line"><a name="l00121"></a><span class="lineno"> 121</span>&#160; <span class="comment">// rows/columns are set to identity.</span></div><div class="line"><a name="l00122"></a><span class="lineno"> 122</span>&#160;</div><div class="line"><a name="l00123"></a><span class="lineno"> 123</span>&#160; <span class="comment">// All non-commutative operations have &quot;this&quot; as left hand side and</span></div><div class="line"><a name="l00124"></a><span class="lineno"> 124</span>&#160; <span class="comment">// argument as right hand side.</span></div><div class="line"><a name="l00125"></a><span class="lineno"> 125</span>&#160; <a class="code" href="../../dd/dd9/class_o_n__2d_point.html">ON_2dPoint</a> operator*( <span class="keyword">const</span> <a class="code" href="../../dd/dd9/class_o_n__2d_point.html">ON_2dPoint</a>&amp; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00126"></a><span class="lineno"> 126</span>&#160; <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> operator*( <span class="keyword">const</span> <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&amp; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00127"></a><span class="lineno"> 127</span>&#160; <a class="code" href="../../d9/db1/class_o_n__4d_point.html">ON_4dPoint</a> operator*( <span class="keyword">const</span> <a class="code" href="../../d9/db1/class_o_n__4d_point.html">ON_4dPoint</a>&amp; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00128"></a><span class="lineno"> 128</span>&#160; </div><div class="line"><a name="l00129"></a><span class="lineno"> 129</span>&#160; <a class="code" href="../../da/d08/class_o_n__2d_vector.html">ON_2dVector</a> operator*( <span class="keyword">const</span> <a class="code" href="../../da/d08/class_o_n__2d_vector.html">ON_2dVector</a>&amp; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00130"></a><span class="lineno"> 130</span>&#160; <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> operator*( <span class="keyword">const</span> <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00131"></a><span class="lineno"> 131</span>&#160; </div><div class="line"><a name="l00132"></a><span class="lineno"> 132</span>&#160; <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> operator*( <span class="keyword">const</span> <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>&amp; <span class="comment">/*rhs*/</span> ) <span class="keyword">const</span>;</div><div class="line"><a name="l00133"></a><span class="lineno"> 133</span>&#160; <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> operator+( <span class="keyword">const</span> <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>&amp; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00134"></a><span class="lineno"> 134</span>&#160; <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> operator-( <span class="keyword">const</span> <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>&amp; <span class="comment">/*rhs*/</span> ) <span class="keyword">const</span>;</div><div class="line"><a name="l00135"></a><span class="lineno"> 135</span>&#160;</div><div class="line"><a name="l00136"></a><span class="lineno"> 136</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00137"></a><span class="lineno"> 137</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00138"></a><span class="lineno"> 138</span>&#160;<span class="comment"> Test the entries of the transformation matrix</span></div><div class="line"><a name="l00139"></a><span class="lineno"> 139</span>&#160;<span class="comment"> to see if they are valid number.</span></div><div class="line"><a name="l00140"></a><span class="lineno"> 140</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00141"></a><span class="lineno"> 141</span>&#160;<span class="comment"> True if ON_IsValid() is true for every coefficient in the transformation matrix.</span></div><div class="line"><a name="l00142"></a><span class="lineno"> 142</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00143"></a><span class="lineno"> 143</span>&#160; <span class="keywordtype">bool</span> IsValid() <span class="keyword">const</span>;</div><div class="line"><a name="l00144"></a><span class="lineno"> 144</span>&#160;</div><div class="line"><a name="l00145"></a><span class="lineno"> 145</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00146"></a><span class="lineno"> 146</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00147"></a><span class="lineno"> 147</span>&#160;<span class="comment"> Test the entries of the transformation matrix</span></div><div class="line"><a name="l00148"></a><span class="lineno"> 148</span>&#160;<span class="comment"> to see if they are valid number.</span></div><div class="line"><a name="l00149"></a><span class="lineno"> 149</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00150"></a><span class="lineno"> 150</span>&#160;<span class="comment"> True if any coefficient in the transformation matrix is a nan.</span></div><div class="line"><a name="l00151"></a><span class="lineno"> 151</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00152"></a><span class="lineno"> 152</span>&#160; <span class="keywordtype">bool</span> IsNan() <span class="keyword">const</span>;</div><div class="line"><a name="l00153"></a><span class="lineno"> 153</span>&#160;</div><div class="line"><a name="l00154"></a><span class="lineno"> 154</span>&#160; <span class="keywordtype">bool</span> IsValidAndNotZeroAndNotIdentity(</div><div class="line"><a name="l00155"></a><span class="lineno"> 155</span>&#160; <span class="keywordtype">double</span> zero_tolerance = 0.0</div><div class="line"><a name="l00156"></a><span class="lineno"> 156</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00157"></a><span class="lineno"> 157</span>&#160;</div><div class="line"><a name="l00158"></a><span class="lineno"> 158</span>&#160; <span class="comment">/*</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 matrix is the identity transformation</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="comment"> 1 0 0 0</span></div><div class="line"><a name="l00163"></a><span class="lineno"> 163</span>&#160;<span class="comment"> 0 1 0 0</span></div><div class="line"><a name="l00164"></a><span class="lineno"> 164</span>&#160;<span class="comment"> 0 0 1 0</span></div><div class="line"><a name="l00165"></a><span class="lineno"> 165</span>&#160;<span class="comment"> 0 0 0 1</span></div><div class="line"><a name="l00166"></a><span class="lineno"> 166</span>&#160;<span class="comment"> Remarks:</span></div><div class="line"><a name="l00167"></a><span class="lineno"> 167</span>&#160;<span class="comment"> An element of the matrix is &quot;zero&quot; if fabs(x) &lt;= zero_tolerance.</span></div><div class="line"><a name="l00168"></a><span class="lineno"> 168</span>&#160;<span class="comment"> An element of the matrix is &quot;one&quot; if fabs(1.0-x) &lt;= zero_tolerance.</span></div><div class="line"><a name="l00169"></a><span class="lineno"> 169</span>&#160;<span class="comment"> If the matrix contains a nan, false is returned.</span></div><div class="line"><a name="l00170"></a><span class="lineno"> 170</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00171"></a><span class="lineno"> 171</span>&#160; <span class="keywordtype">bool</span> IsIdentity( <span class="keywordtype">double</span> zero_tolerance = 0.0) <span class="keyword">const</span>;</div><div class="line"><a name="l00172"></a><span class="lineno"> 172</span>&#160; </div><div class="line"><a name="l00173"></a><span class="lineno"> 173</span>&#160; <span class="comment">/*</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 the matrix is valid and is not the identity transformation</span></div><div class="line"><a name="l00176"></a><span class="lineno"> 176</span>&#160;<span class="comment"> Remarks:</span></div><div class="line"><a name="l00177"></a><span class="lineno"> 177</span>&#160;<span class="comment"> An element of the matrix is &quot;zero&quot; if fabs(x) &lt;= zero_tolerance.</span></div><div class="line"><a name="l00178"></a><span class="lineno"> 178</span>&#160;<span class="comment"> An element of the matrix is &quot;one&quot; if fabs(1.0-x) &lt;= zero_tolerance.</span></div><div class="line"><a name="l00179"></a><span class="lineno"> 179</span>&#160;<span class="comment"> If the matrix contains a nan, false is returned.</span></div><div class="line"><a name="l00180"></a><span class="lineno"> 180</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00181"></a><span class="lineno"> 181</span>&#160; <span class="keywordtype">bool</span> IsNotIdentity( <span class="keywordtype">double</span> zero_tolerance = 0.0) <span class="keyword">const</span>;</div><div class="line"><a name="l00182"></a><span class="lineno"> 182</span>&#160; </div><div class="line"><a name="l00183"></a><span class="lineno"> 183</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00184"></a><span class="lineno"> 184</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00185"></a><span class="lineno"> 185</span>&#160;<span class="comment"> true if matrix is a pure translation</span></div><div class="line"><a name="l00186"></a><span class="lineno"> 186</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00187"></a><span class="lineno"> 187</span>&#160;<span class="comment"> 1 0 0 dx</span></div><div class="line"><a name="l00188"></a><span class="lineno"> 188</span>&#160;<span class="comment"> 0 1 0 dy</span></div><div class="line"><a name="l00189"></a><span class="lineno"> 189</span>&#160;<span class="comment"> 0 0 1 dz</span></div><div class="line"><a name="l00190"></a><span class="lineno"> 190</span>&#160;<span class="comment"> 0 0 0 1</span></div><div class="line"><a name="l00191"></a><span class="lineno"> 191</span>&#160;<span class="comment"> Remarks:</span></div><div class="line"><a name="l00192"></a><span class="lineno"> 192</span>&#160;<span class="comment"> The test for zero is fabs(x) &lt;= zero_tolerance.</span></div><div class="line"><a name="l00193"></a><span class="lineno"> 193</span>&#160;<span class="comment"> The test for one is fabs(x-1) &lt;= zero_tolerance.</span></div><div class="line"><a name="l00194"></a><span class="lineno"> 194</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00195"></a><span class="lineno"> 195</span>&#160; <span class="keywordtype">bool</span> IsTranslation( <span class="keywordtype">double</span> zero_tolerance = 0.0) <span class="keyword">const</span>;</div><div class="line"><a name="l00196"></a><span class="lineno"> 196</span>&#160; </div><div class="line"><a name="l00197"></a><span class="lineno"> 197</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00198"></a><span class="lineno"> 198</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00199"></a><span class="lineno"> 199</span>&#160;<span class="comment"> true if matrix is ON_Xform::Zero4x4, ON_Xform::ZeroTransformation,</span></div><div class="line"><a name="l00200"></a><span class="lineno"> 200</span>&#160;<span class="comment"> or some other type of zero. The value xform[3][3] can be anything.</span></div><div class="line"><a name="l00201"></a><span class="lineno"> 201</span>&#160;<span class="comment"> 0 0 0 0</span></div><div class="line"><a name="l00202"></a><span class="lineno"> 202</span>&#160;<span class="comment"> 0 0 0 0</span></div><div class="line"><a name="l00203"></a><span class="lineno"> 203</span>&#160;<span class="comment"> 0 0 0 0</span></div><div class="line"><a name="l00204"></a><span class="lineno"> 204</span>&#160;<span class="comment"> 0 0 0 *</span></div><div class="line"><a name="l00205"></a><span class="lineno"> 205</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00206"></a><span class="lineno"> 206</span>&#160; <span class="keywordtype">bool</span> IsZero() <span class="keyword">const</span>;</div><div class="line"><a name="l00207"></a><span class="lineno"> 207</span>&#160; </div><div class="line"><a name="l00208"></a><span class="lineno"> 208</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00209"></a><span class="lineno"> 209</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00210"></a><span class="lineno"> 210</span>&#160;<span class="comment"> true if matrix is ON_Xform::Zero4x4</span></div><div class="line"><a name="l00211"></a><span class="lineno"> 211</span>&#160;<span class="comment"> The value xform[3][3] must be zero.</span></div><div class="line"><a name="l00212"></a><span class="lineno"> 212</span>&#160;<span class="comment"> 0 0 0 0</span></div><div class="line"><a name="l00213"></a><span class="lineno"> 213</span>&#160;<span class="comment"> 0 0 0 0</span></div><div class="line"><a name="l00214"></a><span class="lineno"> 214</span>&#160;<span class="comment"> 0 0 0 0</span></div><div class="line"><a name="l00215"></a><span class="lineno"> 215</span>&#160;<span class="comment"> 0 0 0 0</span></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="keywordtype">bool</span> IsZero4x4() <span class="keyword">const</span>;</div><div class="line"><a name="l00218"></a><span class="lineno"> 218</span>&#160; </div><div class="line"><a name="l00219"></a><span class="lineno"> 219</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00220"></a><span class="lineno"> 220</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00221"></a><span class="lineno"> 221</span>&#160;<span class="comment"> true if matrix is ON_Xform::ZeroTransformation</span></div><div class="line"><a name="l00222"></a><span class="lineno"> 222</span>&#160;<span class="comment"> The value xform[3][3] must be 1.</span></div><div class="line"><a name="l00223"></a><span class="lineno"> 223</span>&#160;<span class="comment"> 0 0 0 0</span></div><div class="line"><a name="l00224"></a><span class="lineno"> 224</span>&#160;<span class="comment"> 0 0 0 0</span></div><div class="line"><a name="l00225"></a><span class="lineno"> 225</span>&#160;<span class="comment"> 0 0 0 0</span></div><div class="line"><a name="l00226"></a><span class="lineno"> 226</span>&#160;<span class="comment"> 0 0 0 1</span></div><div class="line"><a name="l00227"></a><span class="lineno"> 227</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00228"></a><span class="lineno"> 228</span>&#160; <span class="keywordtype">bool</span> IsZeroTransformation() <span class="keyword">const</span>;</div><div class="line"><a name="l00229"></a><span class="lineno"> 229</span>&#160;</div><div class="line"><a name="l00230"></a><span class="lineno"> 230</span>&#160;</div><div class="line"><a name="l00231"></a><span class="lineno"> 231</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00232"></a><span class="lineno"> 232</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00233"></a><span class="lineno"> 233</span>&#160;<span class="comment"> A similarity transformation can be broken into a sequence</span></div><div class="line"><a name="l00234"></a><span class="lineno"> 234</span>&#160;<span class="comment"> of dialations, translations, rotations, and reflections.</span></div><div class="line"><a name="l00235"></a><span class="lineno"> 235</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00236"></a><span class="lineno"> 236</span>&#160;<span class="comment"> +1: This transformation is an orientation preserving similarity.</span></div><div class="line"><a name="l00237"></a><span class="lineno"> 237</span>&#160;<span class="comment"> -1: This transformation is an orientation reversing similarity.</span></div><div class="line"><a name="l00238"></a><span class="lineno"> 238</span>&#160;<span class="comment"> 0: This transformation is not a similarity.</span></div><div class="line"><a name="l00239"></a><span class="lineno"> 239</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00240"></a><span class="lineno"> 240</span>&#160; <span class="keywordtype">int</span> IsSimilarity() <span class="keyword">const</span>;</div><div class="line"><a name="l00241"></a><span class="lineno"> 241</span>&#160;</div><div class="line"><a name="l00242"></a><span class="lineno"> 242</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00243"></a><span class="lineno"> 243</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00244"></a><span class="lineno"> 244</span>&#160;<span class="comment"> A transformation is affine if it is valid and its last row is</span></div><div class="line"><a name="l00245"></a><span class="lineno"> 245</span>&#160;<span class="comment"> 0 0 0 1</span></div><div class="line"><a name="l00246"></a><span class="lineno"> 246</span>&#160;<span class="comment"> An affine transformation can be broken into a linear transformation and a translation.</span></div><div class="line"><a name="l00247"></a><span class="lineno"> 247</span>&#160;<span class="comment"> Example:</span></div><div class="line"><a name="l00248"></a><span class="lineno"> 248</span>&#160;<span class="comment"> A perspective transformation is not affine.</span></div><div class="line"><a name="l00249"></a><span class="lineno"> 249</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00250"></a><span class="lineno"> 250</span>&#160;<span class="comment"> True if this is an affine transformation.</span></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="keywordtype">bool</span> IsAffine() <span class="keyword">const</span>;</div><div class="line"><a name="l00253"></a><span class="lineno"> 253</span>&#160;</div><div class="line"><a name="l00254"></a><span class="lineno"> 254</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00255"></a><span class="lineno"> 255</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00256"></a><span class="lineno"> 256</span>&#160;<span class="comment"> Well ordered dictionary compare that is nan aware.</span></div><div class="line"><a name="l00257"></a><span class="lineno"> 257</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00258"></a><span class="lineno"> 258</span>&#160; <span class="keywordtype">int</span> Compare( <span class="keyword">const</span> <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>&amp; other ) <span class="keyword">const</span>;</div><div class="line"><a name="l00259"></a><span class="lineno"> 259</span>&#160; </div><div class="line"><a name="l00260"></a><span class="lineno"> 260</span>&#160; <span class="comment">// matrix operations</span></div><div class="line"><a name="l00261"></a><span class="lineno"> 261</span>&#160; <span class="keywordtype">void</span> Transpose(); <span class="comment">// transposes 4x4 matrix</span></div><div class="line"><a name="l00262"></a><span class="lineno"> 262</span>&#160;</div><div class="line"><a name="l00263"></a><span class="lineno"> 263</span>&#160; <span class="keywordtype">int</span> </div><div class="line"><a name="l00264"></a><span class="lineno"> 264</span>&#160; Rank( <span class="comment">// returns 0 to 4</span></div><div class="line"><a name="l00265"></a><span class="lineno"> 265</span>&#160; <span class="keywordtype">double</span>* = <span class="keyword">nullptr</span> <span class="comment">// If not nullptr, returns minimum pivot</span></div><div class="line"><a name="l00266"></a><span class="lineno"> 266</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00267"></a><span class="lineno"> 267</span>&#160;</div><div class="line"><a name="l00268"></a><span class="lineno"> 268</span>&#160; <span class="keywordtype">double</span></div><div class="line"><a name="l00269"></a><span class="lineno"> 269</span>&#160; Determinant( <span class="comment">// returns determinant of 4x4 matrix</span></div><div class="line"><a name="l00270"></a><span class="lineno"> 270</span>&#160; <span class="keywordtype">double</span>* = <span class="keyword">nullptr</span> <span class="comment">// If not nullptr, returns minimum pivot</span></div><div class="line"><a name="l00271"></a><span class="lineno"> 271</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00272"></a><span class="lineno"> 272</span>&#160;</div><div class="line"><a name="l00273"></a><span class="lineno"> 273</span>&#160; <span class="keywordtype">bool</span></div><div class="line"><a name="l00274"></a><span class="lineno"> 274</span>&#160; Invert( <span class="comment">// If matrix is non-singular, returns true,</span></div><div class="line"><a name="l00275"></a><span class="lineno"> 275</span>&#160; <span class="comment">// otherwise returns false and sets matrix to </span></div><div class="line"><a name="l00276"></a><span class="lineno"> 276</span>&#160; <span class="comment">// pseudo inverse.</span></div><div class="line"><a name="l00277"></a><span class="lineno"> 277</span>&#160; <span class="keywordtype">double</span>* = <span class="keyword">nullptr</span> <span class="comment">// If not nullptr, returns minimum pivot</span></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; <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a></div><div class="line"><a name="l00281"></a><span class="lineno"> 281</span>&#160; Inverse( <span class="comment">// If matrix is non-singular, returns inverse,</span></div><div class="line"><a name="l00282"></a><span class="lineno"> 282</span>&#160; <span class="comment">// otherwise returns pseudo inverse.</span></div><div class="line"><a name="l00283"></a><span class="lineno"> 283</span>&#160; <span class="keywordtype">double</span>* = <span class="keyword">nullptr</span> <span class="comment">// If not nullptr, returns minimum pivot</span></div><div class="line"><a name="l00284"></a><span class="lineno"> 284</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00285"></a><span class="lineno"> 285</span>&#160;</div><div class="line"><a name="l00286"></a><span class="lineno"> 286</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00287"></a><span class="lineno"> 287</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00288"></a><span class="lineno"> 288</span>&#160;<span class="comment"> When transforming 3d point and surface or mesh normals</span></div><div class="line"><a name="l00289"></a><span class="lineno"> 289</span>&#160;<span class="comment"> two different transforms must be used.</span></div><div class="line"><a name="l00290"></a><span class="lineno"> 290</span>&#160;<span class="comment"> If P_xform transforms the point, then the inverse</span></div><div class="line"><a name="l00291"></a><span class="lineno"> 291</span>&#160;<span class="comment"> transpose of P_xform must be used to tranform normal</span></div><div class="line"><a name="l00292"></a><span class="lineno"> 292</span>&#160;<span class="comment"> vectors.</span></div><div class="line"><a name="l00293"></a><span class="lineno"> 293</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l00294"></a><span class="lineno"> 294</span>&#160;<span class="comment"> N_xform - [out]</span></div><div class="line"><a name="l00295"></a><span class="lineno"> 295</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00296"></a><span class="lineno"> 296</span>&#160;<span class="comment"> The determinant of the transformation.</span></div><div class="line"><a name="l00297"></a><span class="lineno"> 297</span>&#160;<span class="comment"> If non-zero, &quot;this&quot; is invertable and N_xform can be calculated.</span></div><div class="line"><a name="l00298"></a><span class="lineno"> 298</span>&#160;<span class="comment"> False if &quot;this&quot; is not invertable, in which case</span></div><div class="line"><a name="l00299"></a><span class="lineno"> 299</span>&#160;<span class="comment"> the returned N_xform = this with the right hand column</span></div><div class="line"><a name="l00300"></a><span class="lineno"> 300</span>&#160;<span class="comment"> and bottom row zeroed out.</span></div><div class="line"><a name="l00301"></a><span class="lineno"> 301</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00302"></a><span class="lineno"> 302</span>&#160; <span class="keywordtype">double</span> GetSurfaceNormalXform( <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>&amp; N_xform ) <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">/*</span></div><div class="line"><a name="l00305"></a><span class="lineno"> 305</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00306"></a><span class="lineno"> 306</span>&#160;<span class="comment"> If a texture mapping is applied to an object, the object</span></div><div class="line"><a name="l00307"></a><span class="lineno"> 307</span>&#160;<span class="comment"> is subsequently transformed by T, and the texture mapping</span></div><div class="line"><a name="l00308"></a><span class="lineno"> 308</span>&#160;<span class="comment"> needs to be recalculated, then two transforms are required</span></div><div class="line"><a name="l00309"></a><span class="lineno"> 309</span>&#160;<span class="comment"> to recalcalculate the texture mapping.</span></div><div class="line"><a name="l00310"></a><span class="lineno"> 310</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l00311"></a><span class="lineno"> 311</span>&#160;<span class="comment"> P_xform - [out] </span></div><div class="line"><a name="l00312"></a><span class="lineno"> 312</span>&#160;<span class="comment"> Transform to apply to points before applying the</span></div><div class="line"><a name="l00313"></a><span class="lineno"> 313</span>&#160;<span class="comment"> texture mapping transformation.</span></div><div class="line"><a name="l00314"></a><span class="lineno"> 314</span>&#160;<span class="comment"> N_xform - [out] </span></div><div class="line"><a name="l00315"></a><span class="lineno"> 315</span>&#160;<span class="comment"> Transform to apply to surface normals before applying</span></div><div class="line"><a name="l00316"></a><span class="lineno"> 316</span>&#160;<span class="comment"> the texture mapping transformation.</span></div><div class="line"><a name="l00317"></a><span class="lineno"> 317</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00318"></a><span class="lineno"> 318</span>&#160;<span class="comment"> The determinant of the &quot;this&quot; transformation.</span></div><div class="line"><a name="l00319"></a><span class="lineno"> 319</span>&#160;<span class="comment"> If non-zero, &quot;this&quot; is invertable and P_xform and N_xform</span></div><div class="line"><a name="l00320"></a><span class="lineno"> 320</span>&#160;<span class="comment"> were calculated.</span></div><div class="line"><a name="l00321"></a><span class="lineno"> 321</span>&#160;<span class="comment"> False if &quot;this&quot; is not invertable, in which case</span></div><div class="line"><a name="l00322"></a><span class="lineno"> 322</span>&#160;<span class="comment"> the returned P_xform and N_xform are the identity.</span></div><div class="line"><a name="l00323"></a><span class="lineno"> 323</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00324"></a><span class="lineno"> 324</span>&#160; <span class="keywordtype">double</span> GetMappingXforms( <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>&amp; P_xform, <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>&amp; N_xform ) <span class="keyword">const</span>;</div><div class="line"><a name="l00325"></a><span class="lineno"> 325</span>&#160;</div><div class="line"><a name="l00326"></a><span class="lineno"> 326</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00327"></a><span class="lineno"> 327</span>&#160; <span class="comment">// Computes matrix * transpose([x,y,z,w]).</span></div><div class="line"><a name="l00328"></a><span class="lineno"> 328</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00329"></a><span class="lineno"> 329</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00330"></a><span class="lineno"> 330</span>&#160; <span class="comment">// x - [in]</span></div><div class="line"><a name="l00331"></a><span class="lineno"> 331</span>&#160; <span class="comment">// y - [in]</span></div><div class="line"><a name="l00332"></a><span class="lineno"> 332</span>&#160; <span class="comment">// z - [in]</span></div><div class="line"><a name="l00333"></a><span class="lineno"> 333</span>&#160; <span class="comment">// z - [in]</span></div><div class="line"><a name="l00334"></a><span class="lineno"> 334</span>&#160; <span class="comment">// ans - [out] = matrix * transpose([x,y,z,w])</span></div><div class="line"><a name="l00335"></a><span class="lineno"> 335</span>&#160; <span class="keywordtype">void</span> ActOnLeft(</div><div class="line"><a name="l00336"></a><span class="lineno"> 336</span>&#160; <span class="keywordtype">double</span>, <span class="comment">// x</span></div><div class="line"><a name="l00337"></a><span class="lineno"> 337</span>&#160; <span class="keywordtype">double</span>, <span class="comment">// y</span></div><div class="line"><a name="l00338"></a><span class="lineno"> 338</span>&#160; <span class="keywordtype">double</span>, <span class="comment">// z</span></div><div class="line"><a name="l00339"></a><span class="lineno"> 339</span>&#160; <span class="keywordtype">double</span>, <span class="comment">// w</span></div><div class="line"><a name="l00340"></a><span class="lineno"> 340</span>&#160; <span class="keywordtype">double</span>[4] <span class="comment">// ans</span></div><div class="line"><a name="l00341"></a><span class="lineno"> 341</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00342"></a><span class="lineno"> 342</span>&#160;</div><div class="line"><a name="l00343"></a><span class="lineno"> 343</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00344"></a><span class="lineno"> 344</span>&#160; <span class="comment">// Computes [x,y,z,w] * matrix.</span></div><div class="line"><a name="l00345"></a><span class="lineno"> 345</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00346"></a><span class="lineno"> 346</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00347"></a><span class="lineno"> 347</span>&#160; <span class="comment">// x - [in]</span></div><div class="line"><a name="l00348"></a><span class="lineno"> 348</span>&#160; <span class="comment">// y - [in]</span></div><div class="line"><a name="l00349"></a><span class="lineno"> 349</span>&#160; <span class="comment">// z - [in]</span></div><div class="line"><a name="l00350"></a><span class="lineno"> 350</span>&#160; <span class="comment">// z - [in]</span></div><div class="line"><a name="l00351"></a><span class="lineno"> 351</span>&#160; <span class="comment">// ans - [out] = [x,y,z,w] * matrix</span></div><div class="line"><a name="l00352"></a><span class="lineno"> 352</span>&#160; <span class="keywordtype">void</span> ActOnRight(</div><div class="line"><a name="l00353"></a><span class="lineno"> 353</span>&#160; <span class="keywordtype">double</span>, <span class="comment">// x</span></div><div class="line"><a name="l00354"></a><span class="lineno"> 354</span>&#160; <span class="keywordtype">double</span>, <span class="comment">// y</span></div><div class="line"><a name="l00355"></a><span class="lineno"> 355</span>&#160; <span class="keywordtype">double</span>, <span class="comment">// z</span></div><div class="line"><a name="l00356"></a><span class="lineno"> 356</span>&#160; <span class="keywordtype">double</span>, <span class="comment">// w</span></div><div class="line"><a name="l00357"></a><span class="lineno"> 357</span>&#160; <span class="keywordtype">double</span>[4] <span class="comment">// ans</span></div><div class="line"><a name="l00358"></a><span class="lineno"> 358</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00359"></a><span class="lineno"> 359</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00360"></a><span class="lineno"> 360</span>&#160;<span class="comment"> ////////////////////////////////////////////////////////////////</span></div><div class="line"><a name="l00361"></a><span class="lineno"> 361</span>&#160;<span class="comment"></span> <span class="comment">// standard transformations</span></div><div class="line"><a name="l00362"></a><span class="lineno"> 362</span>&#160;</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">// diagonal is (1,1,1,1)</span></div><div class="line"><a name="l00365"></a><span class="lineno"> 365</span>&#160; ON_DEPRECATED_MSG(<span class="stringliteral">&quot;Use xform = ON_Xform::IdentityTransformation;&quot;</span>)</div><div class="line"><a name="l00366"></a><span class="lineno"> 366</span>&#160; void Identity();</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; ON_DEPRECATED_MSG(&quot;Use xform = <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>::DiagonalTransformation(d);&quot;)</div><div class="line"><a name="l00369"></a><span class="lineno"> 369</span>&#160; <span class="keywordtype">void</span> Diagonal(<span class="keywordtype">double</span> d); </div><div class="line"><a name="l00370"></a><span class="lineno"> 370</span>&#160;</div><div class="line"><a name="l00371"></a><span class="lineno"> 371</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00372"></a><span class="lineno"> 372</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00373"></a><span class="lineno"> 373</span>&#160;<span class="comment"> Create non-uniform scale transformation with the origin as</span></div><div class="line"><a name="l00374"></a><span class="lineno"> 374</span>&#160;<span class="comment"> a fixed point.</span></div><div class="line"><a name="l00375"></a><span class="lineno"> 375</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l00376"></a><span class="lineno"> 376</span>&#160;<span class="comment"> fixed_point - [in]</span></div><div class="line"><a name="l00377"></a><span class="lineno"> 377</span>&#160;<span class="comment"> x_scale_factor - [in]</span></div><div class="line"><a name="l00378"></a><span class="lineno"> 378</span>&#160;<span class="comment"> y_scale_factor - [in]</span></div><div class="line"><a name="l00379"></a><span class="lineno"> 379</span>&#160;<span class="comment"> z_scale_factor - [in]</span></div><div class="line"><a name="l00380"></a><span class="lineno"> 380</span>&#160;<span class="comment"> Remarks:</span></div><div class="line"><a name="l00381"></a><span class="lineno"> 381</span>&#160;<span class="comment"> The diagonal is (x_scale_factor, y_scale_factor, z_scale_factor, 1)</span></div><div class="line"><a name="l00382"></a><span class="lineno"> 382</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00383"></a><span class="lineno"> 383</span>&#160; ON_DEPRECATED_MSG(&quot;Use xform = <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>::DiagonalTransformation(x_scale_factor,z_scale_factor,z_scale_factor);&quot;)</div><div class="line"><a name="l00384"></a><span class="lineno"> 384</span>&#160; <span class="keywordtype">void</span> Scale( </div><div class="line"><a name="l00385"></a><span class="lineno"> 385</span>&#160; <span class="keywordtype">double</span> x_scale_factor,</div><div class="line"><a name="l00386"></a><span class="lineno"> 386</span>&#160; <span class="keywordtype">double</span> y_scale_factor,</div><div class="line"><a name="l00387"></a><span class="lineno"> 387</span>&#160; <span class="keywordtype">double</span> z_scale_factor</div><div class="line"><a name="l00388"></a><span class="lineno"> 388</span>&#160; );</div><div class="line"><a name="l00389"></a><span class="lineno"> 389</span>&#160;</div><div class="line"><a name="l00390"></a><span class="lineno"> 390</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00391"></a><span class="lineno"> 391</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00392"></a><span class="lineno"> 392</span>&#160;<span class="comment"> Create non-uniform scale transformation with the origin as the fixed point.</span></div><div class="line"><a name="l00393"></a><span class="lineno"> 393</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l00394"></a><span class="lineno"> 394</span>&#160;<span class="comment"> fixed_point - [in]</span></div><div class="line"><a name="l00395"></a><span class="lineno"> 395</span>&#160;<span class="comment"> scale_vector - [in]</span></div><div class="line"><a name="l00396"></a><span class="lineno"> 396</span>&#160;<span class="comment"> Remarks:</span></div><div class="line"><a name="l00397"></a><span class="lineno"> 397</span>&#160;<span class="comment"> The diagonal is (scale_vector.x, scale_vector.y, scale_vector.z, 1)</span></div><div class="line"><a name="l00398"></a><span class="lineno"> 398</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00399"></a><span class="lineno"> 399</span>&#160; ON_DEPRECATED_MSG(&quot;Use xform = <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>::DiagonalTransformation(scale_vector);&quot;)</div><div class="line"><a name="l00400"></a><span class="lineno"> 400</span>&#160; <span class="keywordtype">void</span> Scale( </div><div class="line"><a name="l00401"></a><span class="lineno"> 401</span>&#160; const <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp; scale_vector</div><div class="line"><a name="l00402"></a><span class="lineno"> 402</span>&#160; );</div><div class="line"><a name="l00403"></a><span class="lineno"> 403</span>&#160;</div><div class="line"><a name="l00404"></a><span class="lineno"> 404</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00405"></a><span class="lineno"> 405</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00406"></a><span class="lineno"> 406</span>&#160;<span class="comment"> Create uniform scale transformation with a specified</span></div><div class="line"><a name="l00407"></a><span class="lineno"> 407</span>&#160;<span class="comment"> fixed point.</span></div><div class="line"><a name="l00408"></a><span class="lineno"> 408</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l00409"></a><span class="lineno"> 409</span>&#160;<span class="comment"> fixed_point - [in]</span></div><div class="line"><a name="l00410"></a><span class="lineno"> 410</span>&#160;<span class="comment"> scale_factor - [in]</span></div><div class="line"><a name="l00411"></a><span class="lineno"> 411</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00412"></a><span class="lineno"> 412</span>&#160; ON_DEPRECATED_MSG(&quot;Use xform = <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>::ScaleTransformation(fixed_point,scale_factor)&quot;)</div><div class="line"><a name="l00413"></a><span class="lineno"> 413</span>&#160; <span class="keywordtype">void</span> Scale</div><div class="line"><a name="l00414"></a><span class="lineno"> 414</span>&#160; (</div><div class="line"><a name="l00415"></a><span class="lineno"> 415</span>&#160; <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> fixed_point,</div><div class="line"><a name="l00416"></a><span class="lineno"> 416</span>&#160; <span class="keywordtype">double</span> scale_factor</div><div class="line"><a name="l00417"></a><span class="lineno"> 417</span>&#160; );</div><div class="line"><a name="l00418"></a><span class="lineno"> 418</span>&#160;</div><div class="line"><a name="l00419"></a><span class="lineno"> 419</span>&#160; static const <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> ScaleTransformation(</div><div class="line"><a name="l00420"></a><span class="lineno"> 420</span>&#160; const <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&amp; fixed_point,</div><div class="line"><a name="l00421"></a><span class="lineno"> 421</span>&#160; <span class="keywordtype">double</span> scale_factor</div><div class="line"><a name="l00422"></a><span class="lineno"> 422</span>&#160; );</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; static const <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> ScaleTransformation(</div><div class="line"><a name="l00425"></a><span class="lineno"> 425</span>&#160; const <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&amp; fixed_point,</div><div class="line"><a name="l00426"></a><span class="lineno"> 426</span>&#160; <span class="keywordtype">double</span> x_scale_factor,</div><div class="line"><a name="l00427"></a><span class="lineno"> 427</span>&#160; <span class="keywordtype">double</span> y_scale_factor,</div><div class="line"><a name="l00428"></a><span class="lineno"> 428</span>&#160; <span class="keywordtype">double</span> z_scale_factor</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;</div><div class="line"><a name="l00431"></a><span class="lineno"> 431</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00432"></a><span class="lineno"> 432</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00433"></a><span class="lineno"> 433</span>&#160;<span class="comment"> Create non-uniform scale transformation with a specified</span></div><div class="line"><a name="l00434"></a><span class="lineno"> 434</span>&#160;<span class="comment"> fixed point.</span></div><div class="line"><a name="l00435"></a><span class="lineno"> 435</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l00436"></a><span class="lineno"> 436</span>&#160;<span class="comment"> plane - [in] plane.origin is the fixed point</span></div><div class="line"><a name="l00437"></a><span class="lineno"> 437</span>&#160;<span class="comment"> x_scale_factor - [in] plane.xaxis scale factor</span></div><div class="line"><a name="l00438"></a><span class="lineno"> 438</span>&#160;<span class="comment"> y_scale_factor - [in] plane.yaxis scale factor</span></div><div class="line"><a name="l00439"></a><span class="lineno"> 439</span>&#160;<span class="comment"> z_scale_factor - [in] plane.zaxis scale factor</span></div><div class="line"><a name="l00440"></a><span class="lineno"> 440</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00441"></a><span class="lineno"> 441</span>&#160; static const <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> ScaleTransformation</div><div class="line"><a name="l00442"></a><span class="lineno"> 442</span>&#160; (</div><div class="line"><a name="l00443"></a><span class="lineno"> 443</span>&#160; const <a class="code" href="../../d4/d48/class_o_n___plane.html">ON_Plane</a>&amp; plane,</div><div class="line"><a name="l00444"></a><span class="lineno"> 444</span>&#160; <span class="keywordtype">double</span> x_scale_factor,</div><div class="line"><a name="l00445"></a><span class="lineno"> 445</span>&#160; <span class="keywordtype">double</span> y_scale_factor,</div><div class="line"><a name="l00446"></a><span class="lineno"> 446</span>&#160; <span class="keywordtype">double</span> z_scale_factor</div><div class="line"><a name="l00447"></a><span class="lineno"> 447</span>&#160; );</div><div class="line"><a name="l00448"></a><span class="lineno"> 448</span>&#160;</div><div class="line"><a name="l00449"></a><span class="lineno"> 449</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00450"></a><span class="lineno"> 450</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00451"></a><span class="lineno"> 451</span>&#160;<span class="comment"> Create non-uniform scale transformation with a specified</span></div><div class="line"><a name="l00452"></a><span class="lineno"> 452</span>&#160;<span class="comment"> fixed 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"> plane - [in] plane.origin is the fixed point</span></div><div class="line"><a name="l00455"></a><span class="lineno"> 455</span>&#160;<span class="comment"> x_scale_factor - [in] plane.xaxis scale factor</span></div><div class="line"><a name="l00456"></a><span class="lineno"> 456</span>&#160;<span class="comment"> y_scale_factor - [in] plane.yaxis scale factor</span></div><div class="line"><a name="l00457"></a><span class="lineno"> 457</span>&#160;<span class="comment"> z_scale_factor - [in] plane.zaxis scale factor</span></div><div class="line"><a name="l00458"></a><span class="lineno"> 458</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00459"></a><span class="lineno"> 459</span>&#160; ON_DEPRECATED_MSG(&quot;Use xform = <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>::ScaleTransformation(plane,x_scale_factor,y_scale_factor,z_scale_factor)&quot;)</div><div class="line"><a name="l00460"></a><span class="lineno"> 460</span>&#160; <span class="keywordtype">void</span> Scale</div><div class="line"><a name="l00461"></a><span class="lineno"> 461</span>&#160; (</div><div class="line"><a name="l00462"></a><span class="lineno"> 462</span>&#160; const <a class="code" href="../../d4/d48/class_o_n___plane.html">ON_Plane</a>&amp; plane,</div><div class="line"><a name="l00463"></a><span class="lineno"> 463</span>&#160; <span class="keywordtype">double</span> x_scale_factor,</div><div class="line"><a name="l00464"></a><span class="lineno"> 464</span>&#160; <span class="keywordtype">double</span> y_scale_factor,</div><div class="line"><a name="l00465"></a><span class="lineno"> 465</span>&#160; <span class="keywordtype">double</span> z_scale_factor</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;</div><div class="line"><a name="l00468"></a><span class="lineno"> 468</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00469"></a><span class="lineno"> 469</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00470"></a><span class="lineno"> 470</span>&#160;<span class="comment"> Create shear transformation.</span></div><div class="line"><a name="l00471"></a><span class="lineno"> 471</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l00472"></a><span class="lineno"> 472</span>&#160;<span class="comment"> plane - [in] plane.origin is the fixed point</span></div><div class="line"><a name="l00473"></a><span class="lineno"> 473</span>&#160;<span class="comment"> x1 - [in] plane.xaxis scale factor</span></div><div class="line"><a name="l00474"></a><span class="lineno"> 474</span>&#160;<span class="comment"> y1 - [in] plane.yaxis scale factor</span></div><div class="line"><a name="l00475"></a><span class="lineno"> 475</span>&#160;<span class="comment"> z1 - [in] plane.zaxis scale factor</span></div><div class="line"><a name="l00476"></a><span class="lineno"> 476</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00477"></a><span class="lineno"> 477</span>&#160; static const <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> ShearTransformation(</div><div class="line"><a name="l00478"></a><span class="lineno"> 478</span>&#160; const <a class="code" href="../../d4/d48/class_o_n___plane.html">ON_Plane</a>&amp; plane,</div><div class="line"><a name="l00479"></a><span class="lineno"> 479</span>&#160; const <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp; x1,</div><div class="line"><a name="l00480"></a><span class="lineno"> 480</span>&#160; const <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp; y1,</div><div class="line"><a name="l00481"></a><span class="lineno"> 481</span>&#160; const <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp; z1</div><div class="line"><a name="l00482"></a><span class="lineno"> 482</span>&#160; );</div><div class="line"><a name="l00483"></a><span class="lineno"> 483</span>&#160;</div><div class="line"><a name="l00484"></a><span class="lineno"> 484</span>&#160; ON_DEPRECATED_MSG(&quot;Use xform = <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>::ShearTransformation(plane,x1,y1,z1);&quot;)</div><div class="line"><a name="l00485"></a><span class="lineno"> 485</span>&#160; <span class="keywordtype">void</span> Shear</div><div class="line"><a name="l00486"></a><span class="lineno"> 486</span>&#160; (</div><div class="line"><a name="l00487"></a><span class="lineno"> 487</span>&#160; const <a class="code" href="../../d4/d48/class_o_n___plane.html">ON_Plane</a>&amp; plane,</div><div class="line"><a name="l00488"></a><span class="lineno"> 488</span>&#160; const <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp; x1,</div><div class="line"><a name="l00489"></a><span class="lineno"> 489</span>&#160; const <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp; y1,</div><div class="line"><a name="l00490"></a><span class="lineno"> 490</span>&#160; const <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp; z1</div><div class="line"><a name="l00491"></a><span class="lineno"> 491</span>&#160; );</div><div class="line"><a name="l00492"></a><span class="lineno"> 492</span>&#160;</div><div class="line"><a name="l00493"></a><span class="lineno"> 493</span>&#160; ON_DEPRECATED_MSG(&quot;Use xform = <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>::TranslationTransformation(delta);&quot;)</div><div class="line"><a name="l00494"></a><span class="lineno"> 494</span>&#160; <span class="keywordtype">void</span> Translation( </div><div class="line"><a name="l00495"></a><span class="lineno"> 495</span>&#160; const <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp; delta</div><div class="line"><a name="l00496"></a><span class="lineno"> 496</span>&#160; );</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; ON_DEPRECATED_MSG(&quot;Use xform = <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>::TranslationTransformation(dx,dy,dz);&quot;)</div><div class="line"><a name="l00499"></a><span class="lineno"> 499</span>&#160; <span class="keywordtype">void</span> Translation( </div><div class="line"><a name="l00500"></a><span class="lineno"> 500</span>&#160; <span class="keywordtype">double</span> dx,</div><div class="line"><a name="l00501"></a><span class="lineno"> 501</span>&#160; <span class="keywordtype">double</span> dy,</div><div class="line"><a name="l00502"></a><span class="lineno"> 502</span>&#160; <span class="keywordtype">double</span> dz</div><div class="line"><a name="l00503"></a><span class="lineno"> 503</span>&#160; );</div><div class="line"><a name="l00504"></a><span class="lineno"> 504</span>&#160;</div><div class="line"><a name="l00505"></a><span class="lineno"> 505</span>&#160; <span class="comment">// Right column is (delta.x, delta.y, 0, 1).</span></div><div class="line"><a name="l00506"></a><span class="lineno"> 506</span>&#160; static const <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> TranslationTransformation(</div><div class="line"><a name="l00507"></a><span class="lineno"> 507</span>&#160; const <a class="code" href="../../da/d08/class_o_n__2d_vector.html">ON_2dVector</a>&amp; delta</div><div class="line"><a name="l00508"></a><span class="lineno"> 508</span>&#160; );</div><div class="line"><a name="l00509"></a><span class="lineno"> 509</span>&#160;</div><div class="line"><a name="l00510"></a><span class="lineno"> 510</span>&#160; <span class="comment">// Right column is (delta.x, delta.y, delta.z, 1).</span></div><div class="line"><a name="l00511"></a><span class="lineno"> 511</span>&#160; static const <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> TranslationTransformation(</div><div class="line"><a name="l00512"></a><span class="lineno"> 512</span>&#160; const <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp; delta</div><div class="line"><a name="l00513"></a><span class="lineno"> 513</span>&#160; );</div><div class="line"><a name="l00514"></a><span class="lineno"> 514</span>&#160;</div><div class="line"><a name="l00515"></a><span class="lineno"> 515</span>&#160; <span class="comment">// Right column is (dx, dy, dz, 1).</span></div><div class="line"><a name="l00516"></a><span class="lineno"> 516</span>&#160; static const <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> TranslationTransformation(</div><div class="line"><a name="l00517"></a><span class="lineno"> 517</span>&#160; <span class="keywordtype">double</span> dx,</div><div class="line"><a name="l00518"></a><span class="lineno"> 518</span>&#160; <span class="keywordtype">double</span> dy,</div><div class="line"><a name="l00519"></a><span class="lineno"> 519</span>&#160; <span class="keywordtype">double</span> dz</div><div class="line"><a name="l00520"></a><span class="lineno"> 520</span>&#160; );</div><div class="line"><a name="l00521"></a><span class="lineno"> 521</span>&#160;</div><div class="line"><a name="l00522"></a><span class="lineno"> 522</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00523"></a><span class="lineno"> 523</span>&#160; <span class="comment">// Get transformation that projects to a plane</span></div><div class="line"><a name="l00524"></a><span class="lineno"> 524</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00525"></a><span class="lineno"> 525</span>&#160; <span class="comment">// plane - [in] plane to project to</span></div><div class="line"><a name="l00526"></a><span class="lineno"> 526</span>&#160; <span class="comment">// Remarks:</span></div><div class="line"><a name="l00527"></a><span class="lineno"> 527</span>&#160; <span class="comment">// This transformaton maps a 3d point P to the</span></div><div class="line"><a name="l00528"></a><span class="lineno"> 528</span>&#160; <span class="comment">// point plane.ClosestPointTo(Q).</span></div><div class="line"><a name="l00529"></a><span class="lineno"> 529</span>&#160; <span class="keywordtype">void</span> PlanarProjection(</div><div class="line"><a name="l00530"></a><span class="lineno"> 530</span>&#160; const <a class="code" href="../../d4/d48/class_o_n___plane.html">ON_Plane</a>&amp; plane</div><div class="line"><a name="l00531"></a><span class="lineno"> 531</span>&#160; );</div><div class="line"><a name="l00532"></a><span class="lineno"> 532</span>&#160;</div><div class="line"><a name="l00533"></a><span class="lineno"> 533</span>&#160; <span class="comment">// Description: </span></div><div class="line"><a name="l00534"></a><span class="lineno"> 534</span>&#160; <span class="comment">// The Rotation() function is overloaded and provides several</span></div><div class="line"><a name="l00535"></a><span class="lineno"> 535</span>&#160; <span class="comment">// ways to compute a rotation transformation. A positive</span></div><div class="line"><a name="l00536"></a><span class="lineno"> 536</span>&#160; <span class="comment">// rotation angle indicates a counter-clockwise (right hand rule)</span></div><div class="line"><a name="l00537"></a><span class="lineno"> 537</span>&#160; <span class="comment">// rotation about the axis of rotation.</span></div><div class="line"><a name="l00538"></a><span class="lineno"> 538</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00539"></a><span class="lineno"> 539</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00540"></a><span class="lineno"> 540</span>&#160; <span class="comment">// sin_angle - sin(rotation angle)</span></div><div class="line"><a name="l00541"></a><span class="lineno"> 541</span>&#160; <span class="comment">// cos_angle - cos(rotation angle)</span></div><div class="line"><a name="l00542"></a><span class="lineno"> 542</span>&#160; <span class="comment">// rotation_axis - 3d unit axis of rotation</span></div><div class="line"><a name="l00543"></a><span class="lineno"> 543</span>&#160; <span class="comment">// rotation_center - 3d center of rotation</span></div><div class="line"><a name="l00544"></a><span class="lineno"> 544</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00545"></a><span class="lineno"> 545</span>&#160; <span class="comment">// Remarks: </span></div><div class="line"><a name="l00546"></a><span class="lineno"> 546</span>&#160; <span class="comment">// In the overloads that take frames, the frames should </span></div><div class="line"><a name="l00547"></a><span class="lineno"> 547</span>&#160; <span class="comment">// be right hand orthonormal frames </span></div><div class="line"><a name="l00548"></a><span class="lineno"> 548</span>&#160; <span class="comment">// (unit vectors with Z = X x Y). </span></div><div class="line"><a name="l00549"></a><span class="lineno"> 549</span>&#160; <span class="comment">// The resulting rotation fixes</span></div><div class="line"><a name="l00550"></a><span class="lineno"> 550</span>&#160; <span class="comment">// the origin (0,0,0), maps initial X to </span></div><div class="line"><a name="l00551"></a><span class="lineno"> 551</span>&#160; <span class="comment">// final X, initial Y to final Y, and initial Z to final Z.</span></div><div class="line"><a name="l00552"></a><span class="lineno"> 552</span>&#160; <span class="comment">// </span></div><div class="line"><a name="l00553"></a><span class="lineno"> 553</span>&#160; <span class="comment">// In the overload that takes frames with center points, </span></div><div class="line"><a name="l00554"></a><span class="lineno"> 554</span>&#160; <span class="comment">// if the initial and final center are equal, then that </span></div><div class="line"><a name="l00555"></a><span class="lineno"> 555</span>&#160; <span class="comment">// center point is the fixed point of the rotation. If </span></div><div class="line"><a name="l00556"></a><span class="lineno"> 556</span>&#160; <span class="comment">// the initial and final point differ, then the resulting</span></div><div class="line"><a name="l00557"></a><span class="lineno"> 557</span>&#160; <span class="comment">// transform is the composition of a rotation fixing P0</span></div><div class="line"><a name="l00558"></a><span class="lineno"> 558</span>&#160; <span class="comment">// and translation from P0 to P1. The resulting </span></div><div class="line"><a name="l00559"></a><span class="lineno"> 559</span>&#160; <span class="comment">// transformation maps P0 to P1, P0+X0 to P1+X1, ...</span></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">// The rotation transformations that map frames to frames</span></div><div class="line"><a name="l00562"></a><span class="lineno"> 562</span>&#160; <span class="comment">// are not the same as the change of basis transformations</span></div><div class="line"><a name="l00563"></a><span class="lineno"> 563</span>&#160; <span class="comment">// for those frames. See ON_Xform::ChangeBasis().</span></div><div class="line"><a name="l00564"></a><span class="lineno"> 564</span>&#160; <span class="comment">// </span></div><div class="line"><a name="l00565"></a><span class="lineno"> 565</span>&#160; <span class="keywordtype">void</span> Rotation(</div><div class="line"><a name="l00566"></a><span class="lineno"> 566</span>&#160; <span class="keywordtype">double</span> sin_angle,</div><div class="line"><a name="l00567"></a><span class="lineno"> 567</span>&#160; <span class="keywordtype">double</span> cos_angle,</div><div class="line"><a name="l00568"></a><span class="lineno"> 568</span>&#160; <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> rotation_axis,</div><div class="line"><a name="l00569"></a><span class="lineno"> 569</span>&#160; <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> rotation_center</div><div class="line"><a name="l00570"></a><span class="lineno"> 570</span>&#160; );</div><div class="line"><a name="l00571"></a><span class="lineno"> 571</span>&#160;</div><div class="line"><a name="l00572"></a><span class="lineno"> 572</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00573"></a><span class="lineno"> 573</span>&#160; <span class="comment">// angle - rotation angle in radians</span></div><div class="line"><a name="l00574"></a><span class="lineno"> 574</span>&#160; <span class="comment">// rotation_axis - 3d unit axis of rotation</span></div><div class="line"><a name="l00575"></a><span class="lineno"> 575</span>&#160; <span class="comment">// rotation_center - 3d center of rotation</span></div><div class="line"><a name="l00576"></a><span class="lineno"> 576</span>&#160; <span class="keywordtype">void</span> Rotation(</div><div class="line"><a name="l00577"></a><span class="lineno"> 577</span>&#160; <span class="keywordtype">double</span> angle_radians,</div><div class="line"><a name="l00578"></a><span class="lineno"> 578</span>&#160; <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> rotation_axis,</div><div class="line"><a name="l00579"></a><span class="lineno"> 579</span>&#160; <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> rotation_center</div><div class="line"><a name="l00580"></a><span class="lineno"> 580</span>&#160; );</div><div class="line"><a name="l00581"></a><span class="lineno"> 581</span>&#160;</div><div class="line"><a name="l00582"></a><span class="lineno"> 582</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00583"></a><span class="lineno"> 583</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00584"></a><span class="lineno"> 584</span>&#160;<span class="comment"> Calculate the minimal transformation that rotates</span></div><div class="line"><a name="l00585"></a><span class="lineno"> 585</span>&#160;<span class="comment"> start_dir to end_dir while fixing rotation_center. </span></div><div class="line"><a name="l00586"></a><span class="lineno"> 586</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00587"></a><span class="lineno"> 587</span>&#160; <span class="keywordtype">void</span> Rotation(</div><div class="line"><a name="l00588"></a><span class="lineno"> 588</span>&#160; <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> start_dir,</div><div class="line"><a name="l00589"></a><span class="lineno"> 589</span>&#160; <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> end_dir,</div><div class="line"><a name="l00590"></a><span class="lineno"> 590</span>&#160; <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> rotation_center</div><div class="line"><a name="l00591"></a><span class="lineno"> 591</span>&#160; );</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="comment">// Parameters:</span></div><div class="line"><a name="l00594"></a><span class="lineno"> 594</span>&#160; <span class="comment">// X0 - initial frame X</span></div><div class="line"><a name="l00595"></a><span class="lineno"> 595</span>&#160; <span class="comment">// Y0 - initial frame Y</span></div><div class="line"><a name="l00596"></a><span class="lineno"> 596</span>&#160; <span class="comment">// Z0 - initial frame Z</span></div><div class="line"><a name="l00597"></a><span class="lineno"> 597</span>&#160; <span class="comment">// X1 - final frame X</span></div><div class="line"><a name="l00598"></a><span class="lineno"> 598</span>&#160; <span class="comment">// Y1 - final frame Y</span></div><div class="line"><a name="l00599"></a><span class="lineno"> 599</span>&#160; <span class="comment">// Z1 - final frame Z</span></div><div class="line"><a name="l00600"></a><span class="lineno"> 600</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00601"></a><span class="lineno"> 601</span>&#160; <span class="keywordtype">void</span> Rotation( </div><div class="line"><a name="l00602"></a><span class="lineno"> 602</span>&#160; const <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp; X0,</div><div class="line"><a name="l00603"></a><span class="lineno"> 603</span>&#160; const <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp; Y0,</div><div class="line"><a name="l00604"></a><span class="lineno"> 604</span>&#160; const <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp; Z0,</div><div class="line"><a name="l00605"></a><span class="lineno"> 605</span>&#160; const <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp; X1,</div><div class="line"><a name="l00606"></a><span class="lineno"> 606</span>&#160; const <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp; Y1,</div><div class="line"><a name="l00607"></a><span class="lineno"> 607</span>&#160; const <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp; Z1</div><div class="line"><a name="l00608"></a><span class="lineno"> 608</span>&#160; );</div><div class="line"><a name="l00609"></a><span class="lineno"> 609</span>&#160;</div><div class="line"><a name="l00610"></a><span class="lineno"> 610</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00611"></a><span class="lineno"> 611</span>&#160; <span class="comment">// P0 - initial frame center</span></div><div class="line"><a name="l00612"></a><span class="lineno"> 612</span>&#160; <span class="comment">// X0 - initial frame X</span></div><div class="line"><a name="l00613"></a><span class="lineno"> 613</span>&#160; <span class="comment">// Y0 - initial frame Y</span></div><div class="line"><a name="l00614"></a><span class="lineno"> 614</span>&#160; <span class="comment">// Z0 - initial frame Z</span></div><div class="line"><a name="l00615"></a><span class="lineno"> 615</span>&#160; <span class="comment">// P1 - initial frame center</span></div><div class="line"><a name="l00616"></a><span class="lineno"> 616</span>&#160; <span class="comment">// X1 - final frame X</span></div><div class="line"><a name="l00617"></a><span class="lineno"> 617</span>&#160; <span class="comment">// Y1 - final frame Y</span></div><div class="line"><a name="l00618"></a><span class="lineno"> 618</span>&#160; <span class="comment">// Z1 - final frame Z</span></div><div class="line"><a name="l00619"></a><span class="lineno"> 619</span>&#160; <span class="keywordtype">void</span> Rotation( </div><div class="line"><a name="l00620"></a><span class="lineno"> 620</span>&#160; const <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&amp; P0,</div><div class="line"><a name="l00621"></a><span class="lineno"> 621</span>&#160; const <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp; X0,</div><div class="line"><a name="l00622"></a><span class="lineno"> 622</span>&#160; const <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp; Y0,</div><div class="line"><a name="l00623"></a><span class="lineno"> 623</span>&#160; const <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp; Z0,</div><div class="line"><a name="l00624"></a><span class="lineno"> 624</span>&#160; const <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&amp; P1,</div><div class="line"><a name="l00625"></a><span class="lineno"> 625</span>&#160; const <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp; X1,</div><div class="line"><a name="l00626"></a><span class="lineno"> 626</span>&#160; const <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp; Y1,</div><div class="line"><a name="l00627"></a><span class="lineno"> 627</span>&#160; const <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp; Z1</div><div class="line"><a name="l00628"></a><span class="lineno"> 628</span>&#160; );</div><div class="line"><a name="l00629"></a><span class="lineno"> 629</span>&#160;</div><div class="line"><a name="l00630"></a><span class="lineno"> 630</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00631"></a><span class="lineno"> 631</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00632"></a><span class="lineno"> 632</span>&#160;<span class="comment"> Create rotation transformation that maps plane0 to plane1.</span></div><div class="line"><a name="l00633"></a><span class="lineno"> 633</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l00634"></a><span class="lineno"> 634</span>&#160;<span class="comment"> plane0 - [in]</span></div><div class="line"><a name="l00635"></a><span class="lineno"> 635</span>&#160;<span class="comment"> plane1 - [in]</span></div><div class="line"><a name="l00636"></a><span class="lineno"> 636</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00637"></a><span class="lineno"> 637</span>&#160; <span class="keywordtype">void</span> Rotation( </div><div class="line"><a name="l00638"></a><span class="lineno"> 638</span>&#160; const <a class="code" href="../../d4/d48/class_o_n___plane.html">ON_Plane</a>&amp; plane0,</div><div class="line"><a name="l00639"></a><span class="lineno"> 639</span>&#160; const <a class="code" href="../../d4/d48/class_o_n___plane.html">ON_Plane</a>&amp; plane1</div><div class="line"><a name="l00640"></a><span class="lineno"> 640</span>&#160; );</div><div class="line"><a name="l00641"></a><span class="lineno"> 641</span>&#160;</div><div class="line"><a name="l00642"></a><span class="lineno"> 642</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00643"></a><span class="lineno"> 643</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00644"></a><span class="lineno"> 644</span>&#160;<span class="comment"> Create mirror transformation matrix.</span></div><div class="line"><a name="l00645"></a><span class="lineno"> 645</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l00646"></a><span class="lineno"> 646</span>&#160;<span class="comment"> point_on_mirror_plane - [in] point on mirror plane</span></div><div class="line"><a name="l00647"></a><span class="lineno"> 647</span>&#160;<span class="comment"> normal_to_mirror_plane - [in] normal to mirror plane</span></div><div class="line"><a name="l00648"></a><span class="lineno"> 648</span>&#160;<span class="comment"> Remarks:</span></div><div class="line"><a name="l00649"></a><span class="lineno"> 649</span>&#160;<span class="comment"> The mirror transform maps a point Q to</span></div><div class="line"><a name="l00650"></a><span class="lineno"> 650</span>&#160;<span class="comment"> Q - (2*(Q-P)oN)*N, where</span></div><div class="line"><a name="l00651"></a><span class="lineno"> 651</span>&#160;<span class="comment"> P = point_on_mirror_plane and N = normal_to_mirror_plane.</span></div><div class="line"><a name="l00652"></a><span class="lineno"> 652</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00653"></a><span class="lineno"> 653</span>&#160; <span class="keywordtype">void</span> Mirror(</div><div class="line"><a name="l00654"></a><span class="lineno"> 654</span>&#160; <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> point_on_mirror_plane,</div><div class="line"><a name="l00655"></a><span class="lineno"> 655</span>&#160; <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> normal_to_mirror_plane</div><div class="line"><a name="l00656"></a><span class="lineno"> 656</span>&#160; );</div><div class="line"><a name="l00657"></a><span class="lineno"> 657</span>&#160;</div><div class="line"><a name="l00658"></a><span class="lineno"> 658</span>&#160; <span class="comment">// Description: The ChangeBasis() function is overloaded </span></div><div class="line"><a name="l00659"></a><span class="lineno"> 659</span>&#160; <span class="comment">// and provides several</span></div><div class="line"><a name="l00660"></a><span class="lineno"> 660</span>&#160; <span class="comment">// ways to compute a change of basis transformation.</span></div><div class="line"><a name="l00661"></a><span class="lineno"> 661</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00662"></a><span class="lineno"> 662</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00663"></a><span class="lineno"> 663</span>&#160; <span class="comment">// plane0 - inital plane</span></div><div class="line"><a name="l00664"></a><span class="lineno"> 664</span>&#160; <span class="comment">// plane1 - final plane</span></div><div class="line"><a name="l00665"></a><span class="lineno"> 665</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00666"></a><span class="lineno"> 666</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00667"></a><span class="lineno"> 667</span>&#160; <span class="comment">// @untitled table</span></div><div class="line"><a name="l00668"></a><span class="lineno"> 668</span>&#160; <span class="comment">// true success</span></div><div class="line"><a name="l00669"></a><span class="lineno"> 669</span>&#160; <span class="comment">// false vectors for initial frame are not a basis</span></div><div class="line"><a name="l00670"></a><span class="lineno"> 670</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00671"></a><span class="lineno"> 671</span>&#160; <span class="comment">// Remarks: </span></div><div class="line"><a name="l00672"></a><span class="lineno"> 672</span>&#160; <span class="comment">// If you have points defined with respect to planes, the</span></div><div class="line"><a name="l00673"></a><span class="lineno"> 673</span>&#160; <span class="comment">// version of ChangeBasis() that takes two planes computes</span></div><div class="line"><a name="l00674"></a><span class="lineno"> 674</span>&#160; <span class="comment">// the transformation to change coordinates from one plane to </span></div><div class="line"><a name="l00675"></a><span class="lineno"> 675</span>&#160; <span class="comment">// another. The predefined world plane ON_world_plane can</span></div><div class="line"><a name="l00676"></a><span class="lineno"> 676</span>&#160; <span class="comment">// be used as an argument.</span></div><div class="line"><a name="l00677"></a><span class="lineno"> 677</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00678"></a><span class="lineno"> 678</span>&#160; <span class="comment">// If P = plane0.Evaluate( a0,b0,c0 ) and </span></div><div class="line"><a name="l00679"></a><span class="lineno"> 679</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00680"></a><span class="lineno"> 680</span>&#160; <span class="comment">// (a1,b1,c1) = ChangeBasis(plane0,plane1)*ON_3dPoint(a0,b0,c0),</span></div><div class="line"><a name="l00681"></a><span class="lineno"> 681</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00682"></a><span class="lineno"> 682</span>&#160; <span class="comment">// then P = plane1.Evaluate( a1, b1, c1 )</span></div><div class="line"><a name="l00683"></a><span class="lineno"> 683</span>&#160; <span class="comment">// </span></div><div class="line"><a name="l00684"></a><span class="lineno"> 684</span>&#160; <span class="comment">// The version of ChangeBasis() that takes six vectors</span></div><div class="line"><a name="l00685"></a><span class="lineno"> 685</span>&#160; <span class="comment">// maps (a0,b0,c0) to (a1,b1,c1) where</span></div><div class="line"><a name="l00686"></a><span class="lineno"> 686</span>&#160; <span class="comment">// a0*X0 + b0*Y0 + c0*Z0 = a1*X1 + b1*Y1 + c1*Z1</span></div><div class="line"><a name="l00687"></a><span class="lineno"> 687</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00688"></a><span class="lineno"> 688</span>&#160; <span class="comment">// The version of ChangeBasis() that takes six vectors</span></div><div class="line"><a name="l00689"></a><span class="lineno"> 689</span>&#160; <span class="comment">// with center points</span></div><div class="line"><a name="l00690"></a><span class="lineno"> 690</span>&#160; <span class="comment">// maps (a0,b0,c0) to (a1,b1,c1) where</span></div><div class="line"><a name="l00691"></a><span class="lineno"> 691</span>&#160; <span class="comment">// P0 + a0*X0 + b0*Y0 + c0*Z0 = P1 + a1*X1 + b1*Y1 + c1*Z1</span></div><div class="line"><a name="l00692"></a><span class="lineno"> 692</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00693"></a><span class="lineno"> 693</span>&#160; <span class="comment">// The change of basis transformation is not the same as</span></div><div class="line"><a name="l00694"></a><span class="lineno"> 694</span>&#160; <span class="comment">// the rotation transformation that rotates one orthonormal</span></div><div class="line"><a name="l00695"></a><span class="lineno"> 695</span>&#160; <span class="comment">// frame to another. See ON_Xform::Rotation().</span></div><div class="line"><a name="l00696"></a><span class="lineno"> 696</span>&#160; <span class="keywordtype">bool</span> ChangeBasis( </div><div class="line"><a name="l00697"></a><span class="lineno"> 697</span>&#160; const <a class="code" href="../../d4/d48/class_o_n___plane.html">ON_Plane</a>&amp; plane0,</div><div class="line"><a name="l00698"></a><span class="lineno"> 698</span>&#160; const <a class="code" href="../../d4/d48/class_o_n___plane.html">ON_Plane</a>&amp; plane1</div><div class="line"><a name="l00699"></a><span class="lineno"> 699</span>&#160; );</div><div class="line"><a name="l00700"></a><span class="lineno"> 700</span>&#160;</div><div class="line"><a name="l00701"></a><span class="lineno"> 701</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00702"></a><span class="lineno"> 702</span>&#160; <span class="comment">// Get a change of basis transformation.</span></div><div class="line"><a name="l00703"></a><span class="lineno"> 703</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00704"></a><span class="lineno"> 704</span>&#160; <span class="comment">// X0 - initial basis X (X0,Y0,Z0 can be any 3d basis)</span></div><div class="line"><a name="l00705"></a><span class="lineno"> 705</span>&#160; <span class="comment">// Y0 - initial basis Y</span></div><div class="line"><a name="l00706"></a><span class="lineno"> 706</span>&#160; <span class="comment">// Z0 - initial basis Z</span></div><div class="line"><a name="l00707"></a><span class="lineno"> 707</span>&#160; <span class="comment">// X1 - final basis X (X1,Y1,Z1 can be any 3d basis)</span></div><div class="line"><a name="l00708"></a><span class="lineno"> 708</span>&#160; <span class="comment">// Y1 - final basis Y</span></div><div class="line"><a name="l00709"></a><span class="lineno"> 709</span>&#160; <span class="comment">// Z1 - final basis Z</span></div><div class="line"><a name="l00710"></a><span class="lineno"> 710</span>&#160; <span class="comment">// Remarks:</span></div><div class="line"><a name="l00711"></a><span class="lineno"> 711</span>&#160; <span class="comment">// Change of basis transformations and rotation transformations</span></div><div class="line"><a name="l00712"></a><span class="lineno"> 712</span>&#160; <span class="comment">// are often confused. This is a change of basis transformation.</span></div><div class="line"><a name="l00713"></a><span class="lineno"> 713</span>&#160; <span class="comment">// If Q = a0*X0 + b0*Y0 + c0*Z0 = a1*X1 + b1*Y1 + c1*Z1</span></div><div class="line"><a name="l00714"></a><span class="lineno"> 714</span>&#160; <span class="comment">// then this transform will map the point (a0,b0,c0) to (a1,b1,c1)</span></div><div class="line"><a name="l00715"></a><span class="lineno"> 715</span>&#160; <span class="keywordtype">bool</span> ChangeBasis( </div><div class="line"><a name="l00716"></a><span class="lineno"> 716</span>&#160; const <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp; X0,</div><div class="line"><a name="l00717"></a><span class="lineno"> 717</span>&#160; const <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp; Y0,</div><div class="line"><a name="l00718"></a><span class="lineno"> 718</span>&#160; const <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp; Z0,</div><div class="line"><a name="l00719"></a><span class="lineno"> 719</span>&#160; const <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp; X1,</div><div class="line"><a name="l00720"></a><span class="lineno"> 720</span>&#160; const <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp; Y1,</div><div class="line"><a name="l00721"></a><span class="lineno"> 721</span>&#160; const <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp; Z1</div><div class="line"><a name="l00722"></a><span class="lineno"> 722</span>&#160; );</div><div class="line"><a name="l00723"></a><span class="lineno"> 723</span>&#160;</div><div class="line"><a name="l00724"></a><span class="lineno"> 724</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00725"></a><span class="lineno"> 725</span>&#160; <span class="comment">// P0 - initial center</span></div><div class="line"><a name="l00726"></a><span class="lineno"> 726</span>&#160; <span class="comment">// X0 - initial basis X (X0,Y0,Z0 can be any 3d basis)</span></div><div class="line"><a name="l00727"></a><span class="lineno"> 727</span>&#160; <span class="comment">// Y0 - initial basis Y</span></div><div class="line"><a name="l00728"></a><span class="lineno"> 728</span>&#160; <span class="comment">// Z0 - initial basis Z</span></div><div class="line"><a name="l00729"></a><span class="lineno"> 729</span>&#160; <span class="comment">// P1 - final center</span></div><div class="line"><a name="l00730"></a><span class="lineno"> 730</span>&#160; <span class="comment">// X1 - final basis X (X1,Y1,Z1 can be any 3d basis)</span></div><div class="line"><a name="l00731"></a><span class="lineno"> 731</span>&#160; <span class="comment">// Y1 - final basis Y</span></div><div class="line"><a name="l00732"></a><span class="lineno"> 732</span>&#160; <span class="comment">// Z1 - final basis Z</span></div><div class="line"><a name="l00733"></a><span class="lineno"> 733</span>&#160; <span class="comment">// Remarks:</span></div><div class="line"><a name="l00734"></a><span class="lineno"> 734</span>&#160; <span class="comment">// Change of basis transformations and rotation transformations</span></div><div class="line"><a name="l00735"></a><span class="lineno"> 735</span>&#160; <span class="comment">// are often confused. This is a change of basis transformation.</span></div><div class="line"><a name="l00736"></a><span class="lineno"> 736</span>&#160; <span class="comment">// If Q = P0 + a0*X0 + b0*Y0 + c0*Z0 = P1 + a1*X1 + b1*Y1 + c1*Z1</span></div><div class="line"><a name="l00737"></a><span class="lineno"> 737</span>&#160; <span class="comment">// then this transform will map the point (a0,b0,c0) to (a1,b1,c1)</span></div><div class="line"><a name="l00738"></a><span class="lineno"> 738</span>&#160; <span class="keywordtype">bool</span> ChangeBasis( </div><div class="line"><a name="l00739"></a><span class="lineno"> 739</span>&#160; const <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&amp; P0,</div><div class="line"><a name="l00740"></a><span class="lineno"> 740</span>&#160; const <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp; X0,</div><div class="line"><a name="l00741"></a><span class="lineno"> 741</span>&#160; const <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp; Y0,</div><div class="line"><a name="l00742"></a><span class="lineno"> 742</span>&#160; const <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp; Z0,</div><div class="line"><a name="l00743"></a><span class="lineno"> 743</span>&#160; const <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&amp; P1,</div><div class="line"><a name="l00744"></a><span class="lineno"> 744</span>&#160; const <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp; X1,</div><div class="line"><a name="l00745"></a><span class="lineno"> 745</span>&#160; const <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp; Y1,</div><div class="line"><a name="l00746"></a><span class="lineno"> 746</span>&#160; const <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp; Z1</div><div class="line"><a name="l00747"></a><span class="lineno"> 747</span>&#160; );</div><div class="line"><a name="l00748"></a><span class="lineno"> 748</span>&#160;</div><div class="line"><a name="l00749"></a><span class="lineno"> 749</span>&#160; <span class="comment">// standard viewing transformations</span></div><div class="line"><a name="l00750"></a><span class="lineno"> 750</span>&#160; <span class="keywordtype">void</span> WorldToCamera( </div><div class="line"><a name="l00751"></a><span class="lineno"> 751</span>&#160; const <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&amp;, <span class="comment">// CameraLocation</span></div><div class="line"><a name="l00752"></a><span class="lineno"> 752</span>&#160; const <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp;, <span class="comment">// unit CameraX vector (right)</span></div><div class="line"><a name="l00753"></a><span class="lineno"> 753</span>&#160; const ON_3dVector&amp;, <span class="comment">// unit CameraY vector (up)</span></div><div class="line"><a name="l00754"></a><span class="lineno"> 754</span>&#160; const ON_3dVector&amp; <span class="comment">// unit CameraZ vector (from screen to camera)</span></div><div class="line"><a name="l00755"></a><span class="lineno"> 755</span>&#160; );</div><div class="line"><a name="l00756"></a><span class="lineno"> 756</span>&#160; <span class="keywordtype">void</span> CameraToWorld( </div><div class="line"><a name="l00757"></a><span class="lineno"> 757</span>&#160; const ON_3dPoint&amp;, <span class="comment">// CameraLocation</span></div><div class="line"><a name="l00758"></a><span class="lineno"> 758</span>&#160; const ON_3dVector&amp;, <span class="comment">// unit CameraX vector (right)</span></div><div class="line"><a name="l00759"></a><span class="lineno"> 759</span>&#160; const ON_3dVector&amp;, <span class="comment">// unit CameraY vector (up)</span></div><div class="line"><a name="l00760"></a><span class="lineno"> 760</span>&#160; const ON_3dVector&amp; <span class="comment">// unit CameraZ vector (from screen to camera)</span></div><div class="line"><a name="l00761"></a><span class="lineno"> 761</span>&#160; );</div><div class="line"><a name="l00762"></a><span class="lineno"> 762</span>&#160; <span class="keywordtype">bool</span> CameraToClip( <span class="comment">// maps viewport frustum to -1 &lt;= x,y,z &lt;= 1 box</span></div><div class="line"><a name="l00763"></a><span class="lineno"> 763</span>&#160; <span class="keywordtype">bool</span> bIsPerspective, <span class="comment">// true for perspective, false for orthographic</span></div><div class="line"><a name="l00764"></a><span class="lineno"> 764</span>&#160; <span class="keywordtype">double</span>, <span class="keywordtype">double</span>, <span class="comment">// left != right (usually left &lt; right )</span></div><div class="line"><a name="l00765"></a><span class="lineno"> 765</span>&#160; <span class="keywordtype">double</span>, <span class="keywordtype">double</span>, <span class="comment">// bottom != top (usually bottom &lt; top )</span></div><div class="line"><a name="l00766"></a><span class="lineno"> 766</span>&#160; <span class="keywordtype">double</span>, <span class="keywordtype">double</span> <span class="comment">// near != far (usually 0 &lt; near &lt; far )</span></div><div class="line"><a name="l00767"></a><span class="lineno"> 767</span>&#160; );</div><div class="line"><a name="l00768"></a><span class="lineno"> 768</span>&#160;</div><div class="line"><a name="l00769"></a><span class="lineno"> 769</span>&#160; <span class="comment">// maps -1 &lt;= x,y,z &lt;= 1 box to viewport frustum</span></div><div class="line"><a name="l00770"></a><span class="lineno"> 770</span>&#160; <span class="keywordtype">bool</span> ClipToCamera( </div><div class="line"><a name="l00771"></a><span class="lineno"> 771</span>&#160; <span class="keywordtype">bool</span> bIsPerspective, <span class="comment">// true for perspective, false for orthographic</span></div><div class="line"><a name="l00772"></a><span class="lineno"> 772</span>&#160; <span class="keywordtype">double</span>, <span class="keywordtype">double</span>, <span class="comment">// left != right (usually left &lt; right )</span></div><div class="line"><a name="l00773"></a><span class="lineno"> 773</span>&#160; <span class="keywordtype">double</span>, <span class="keywordtype">double</span>, <span class="comment">// bottom != top (usually bottom &lt; top )</span></div><div class="line"><a name="l00774"></a><span class="lineno"> 774</span>&#160; <span class="keywordtype">double</span>, <span class="keywordtype">double</span> <span class="comment">// near != far an bot are non-zero (usually 0 &lt; near &lt; far )</span></div><div class="line"><a name="l00775"></a><span class="lineno"> 775</span>&#160; );</div><div class="line"><a name="l00776"></a><span class="lineno"> 776</span>&#160;</div><div class="line"><a name="l00777"></a><span class="lineno"> 777</span>&#160; <span class="comment">// Computes transform that maps the clipping box </span></div><div class="line"><a name="l00778"></a><span class="lineno"> 778</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00779"></a><span class="lineno"> 779</span>&#160; <span class="comment">// -1&lt;x&lt;1,-1&lt;y&lt;1,-1&lt;z&lt;1 </span></div><div class="line"><a name="l00780"></a><span class="lineno"> 780</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00781"></a><span class="lineno"> 781</span>&#160; <span class="comment">// to the screen box</span></div><div class="line"><a name="l00782"></a><span class="lineno"> 782</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00783"></a><span class="lineno"> 783</span>&#160; <span class="comment">// (left,right) X (bottom,top) X (near,far)</span></div><div class="line"><a name="l00784"></a><span class="lineno"> 784</span>&#160; <span class="keywordtype">bool</span> ClipToScreen( </div><div class="line"><a name="l00785"></a><span class="lineno"> 785</span>&#160; <span class="keywordtype">double</span>, <span class="comment">// left</span></div><div class="line"><a name="l00786"></a><span class="lineno"> 786</span>&#160; <span class="keywordtype">double</span>, <span class="comment">// right</span></div><div class="line"><a name="l00787"></a><span class="lineno"> 787</span>&#160; <span class="keywordtype">double</span>, <span class="comment">// bottom</span></div><div class="line"><a name="l00788"></a><span class="lineno"> 788</span>&#160; <span class="keywordtype">double</span>, <span class="comment">// top</span></div><div class="line"><a name="l00789"></a><span class="lineno"> 789</span>&#160; <span class="keywordtype">double</span>, <span class="comment">// near_z</span></div><div class="line"><a name="l00790"></a><span class="lineno"> 790</span>&#160; <span class="keywordtype">double</span> <span class="comment">// far_z</span></div><div class="line"><a name="l00791"></a><span class="lineno"> 791</span>&#160; );</div><div class="line"><a name="l00792"></a><span class="lineno"> 792</span>&#160;</div><div class="line"><a name="l00793"></a><span class="lineno"> 793</span>&#160; <span class="comment">// Computes transform that maps the screen box</span></div><div class="line"><a name="l00794"></a><span class="lineno"> 794</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00795"></a><span class="lineno"> 795</span>&#160; <span class="comment">// (left,right) X (bottom,top) X (near,far)</span></div><div class="line"><a name="l00796"></a><span class="lineno"> 796</span>&#160; <span class="comment">// </span></div><div class="line"><a name="l00797"></a><span class="lineno"> 797</span>&#160; <span class="comment">// to the clipping box </span></div><div class="line"><a name="l00798"></a><span class="lineno"> 798</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00799"></a><span class="lineno"> 799</span>&#160; <span class="comment">// -1&lt;x&lt;1,-1&lt;y&lt;1,-1&lt;z&lt;1 </span></div><div class="line"><a name="l00800"></a><span class="lineno"> 800</span>&#160; <span class="keywordtype">bool</span> ScreenToClip(</div><div class="line"><a name="l00801"></a><span class="lineno"> 801</span>&#160; <span class="keywordtype">double</span>, <span class="comment">// left</span></div><div class="line"><a name="l00802"></a><span class="lineno"> 802</span>&#160; <span class="keywordtype">double</span>, <span class="comment">// right</span></div><div class="line"><a name="l00803"></a><span class="lineno"> 803</span>&#160; <span class="keywordtype">double</span>, <span class="comment">// bottom</span></div><div class="line"><a name="l00804"></a><span class="lineno"> 804</span>&#160; <span class="keywordtype">double</span>, <span class="comment">// top</span></div><div class="line"><a name="l00805"></a><span class="lineno"> 805</span>&#160; <span class="keywordtype">double</span>, <span class="comment">// near_z</span></div><div class="line"><a name="l00806"></a><span class="lineno"> 806</span>&#160; <span class="keywordtype">double</span> <span class="comment">// far_z</span></div><div class="line"><a name="l00807"></a><span class="lineno"> 807</span>&#160; );</div><div class="line"><a name="l00808"></a><span class="lineno"> 808</span>&#160;</div><div class="line"><a name="l00809"></a><span class="lineno"> 809</span>&#160; <span class="comment">// Description: Computes homogeneous point clipping flags and</span></div><div class="line"><a name="l00810"></a><span class="lineno"> 810</span>&#160; <span class="comment">// returns an int with bits set to indicate if the point</span></div><div class="line"><a name="l00811"></a><span class="lineno"> 811</span>&#160; <span class="comment">// is outside of the clipping box.</span></div><div class="line"><a name="l00812"></a><span class="lineno"> 812</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00813"></a><span class="lineno"> 813</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00814"></a><span class="lineno"> 814</span>&#160; <span class="comment">// point - [in] 4d homogeneous clipping coordinate point</span></div><div class="line"><a name="l00815"></a><span class="lineno"> 815</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00816"></a><span class="lineno"> 816</span>&#160; <span class="comment">// Returns: </span></div><div class="line"><a name="l00817"></a><span class="lineno"> 817</span>&#160; <span class="comment">// @table </span></div><div class="line"><a name="l00818"></a><span class="lineno"> 818</span>&#160; <span class="comment">// bit point location</span></div><div class="line"><a name="l00819"></a><span class="lineno"> 819</span>&#160; <span class="comment">// 1 x/w &lt; -1</span></div><div class="line"><a name="l00820"></a><span class="lineno"> 820</span>&#160; <span class="comment">// 2 x/w &gt; +1</span></div><div class="line"><a name="l00821"></a><span class="lineno"> 821</span>&#160; <span class="comment">// 4 y/w &lt; -1</span></div><div class="line"><a name="l00822"></a><span class="lineno"> 822</span>&#160; <span class="comment">// 8 y/w &gt; +1</span></div><div class="line"><a name="l00823"></a><span class="lineno"> 823</span>&#160; <span class="comment">// 16 z/w &lt; -1</span></div><div class="line"><a name="l00824"></a><span class="lineno"> 824</span>&#160; <span class="comment">// 32 z/w &gt; +1</span></div><div class="line"><a name="l00825"></a><span class="lineno"> 825</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00826"></a><span class="lineno"> 826</span>&#160; <span class="keywordtype">int</span> ClipFlag4d(</div><div class="line"><a name="l00827"></a><span class="lineno"> 827</span>&#160; const <span class="keywordtype">double</span>* <span class="comment">// point</span></div><div class="line"><a name="l00828"></a><span class="lineno"> 828</span>&#160; ) const;</div><div class="line"><a name="l00829"></a><span class="lineno"> 829</span>&#160;</div><div class="line"><a name="l00830"></a><span class="lineno"> 830</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00831"></a><span class="lineno"> 831</span>&#160; <span class="comment">// count - [in] number of 4d points</span></div><div class="line"><a name="l00832"></a><span class="lineno"> 832</span>&#160; <span class="comment">// stride - [in] (&gt;=4)</span></div><div class="line"><a name="l00833"></a><span class="lineno"> 833</span>&#160; <span class="comment">// points - [in] 4d clipping coordinate points </span></div><div class="line"><a name="l00834"></a><span class="lineno"> 834</span>&#160; <span class="comment">// (array of stride*count doubles)</span></div><div class="line"><a name="l00835"></a><span class="lineno"> 835</span>&#160; <span class="comment">// bTestZ - [in] (default=true) if false, do not test &quot;z&quot; coordinate</span></div><div class="line"><a name="l00836"></a><span class="lineno"> 836</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00837"></a><span class="lineno"> 837</span>&#160; <span class="keywordtype">int</span> ClipFlag4d(</div><div class="line"><a name="l00838"></a><span class="lineno"> 838</span>&#160; <span class="keywordtype">int</span>, <span class="comment">// count</span></div><div class="line"><a name="l00839"></a><span class="lineno"> 839</span>&#160; <span class="keywordtype">int</span>, <span class="comment">// stride</span></div><div class="line"><a name="l00840"></a><span class="lineno"> 840</span>&#160; const <span class="keywordtype">double</span>*, <span class="comment">// points</span></div><div class="line"><a name="l00841"></a><span class="lineno"> 841</span>&#160; <span class="keywordtype">bool</span> bTestZ = true <span class="comment">// bTeztZ</span></div><div class="line"><a name="l00842"></a><span class="lineno"> 842</span>&#160; ) const;</div><div class="line"><a name="l00843"></a><span class="lineno"> 843</span>&#160;</div><div class="line"><a name="l00844"></a><span class="lineno"> 844</span>&#160; <span class="comment">// Description: </span></div><div class="line"><a name="l00845"></a><span class="lineno"> 845</span>&#160; <span class="comment">// Computes 3d point clipping flags and</span></div><div class="line"><a name="l00846"></a><span class="lineno"> 846</span>&#160; <span class="comment">// returns an int with bits set to indicate if the point</span></div><div class="line"><a name="l00847"></a><span class="lineno"> 847</span>&#160; <span class="comment">// is outside of the clipping box.</span></div><div class="line"><a name="l00848"></a><span class="lineno"> 848</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00849"></a><span class="lineno"> 849</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00850"></a><span class="lineno"> 850</span>&#160; <span class="comment">// point - [in] 3d clipping coordinate point</span></div><div class="line"><a name="l00851"></a><span class="lineno"> 851</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00852"></a><span class="lineno"> 852</span>&#160; <span class="comment">// Returns: </span></div><div class="line"><a name="l00853"></a><span class="lineno"> 853</span>&#160; <span class="comment">// @table </span></div><div class="line"><a name="l00854"></a><span class="lineno"> 854</span>&#160; <span class="comment">// bit point location</span></div><div class="line"><a name="l00855"></a><span class="lineno"> 855</span>&#160; <span class="comment">// 1 x &lt; -1</span></div><div class="line"><a name="l00856"></a><span class="lineno"> 856</span>&#160; <span class="comment">// 2 x &gt; +1</span></div><div class="line"><a name="l00857"></a><span class="lineno"> 857</span>&#160; <span class="comment">// 4 y &lt; -1</span></div><div class="line"><a name="l00858"></a><span class="lineno"> 858</span>&#160; <span class="comment">// 8 y &gt; +1</span></div><div class="line"><a name="l00859"></a><span class="lineno"> 859</span>&#160; <span class="comment">// 16 z &lt; -1</span></div><div class="line"><a name="l00860"></a><span class="lineno"> 860</span>&#160; <span class="comment">// 32 z &gt; +1</span></div><div class="line"><a name="l00861"></a><span class="lineno"> 861</span>&#160; <span class="keywordtype">int</span> ClipFlag3d(</div><div class="line"><a name="l00862"></a><span class="lineno"> 862</span>&#160; const <span class="keywordtype">double</span>* <span class="comment">// point</span></div><div class="line"><a name="l00863"></a><span class="lineno"> 863</span>&#160; ) const;</div><div class="line"><a name="l00864"></a><span class="lineno"> 864</span>&#160;</div><div class="line"><a name="l00865"></a><span class="lineno"> 865</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00866"></a><span class="lineno"> 866</span>&#160; <span class="comment">// count - [in] number of 3d points</span></div><div class="line"><a name="l00867"></a><span class="lineno"> 867</span>&#160; <span class="comment">// stride - [in] (&gt;=3)</span></div><div class="line"><a name="l00868"></a><span class="lineno"> 868</span>&#160; <span class="comment">// points - [in] 3d clipping coordinate points (array of stride*count doubles)</span></div><div class="line"><a name="l00869"></a><span class="lineno"> 869</span>&#160; <span class="comment">// bTestZ - [in] (default=true) if false, do not test &quot;z&quot; coordinate</span></div><div class="line"><a name="l00870"></a><span class="lineno"> 870</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00871"></a><span class="lineno"> 871</span>&#160; <span class="keywordtype">int</span> ClipFlag3d(</div><div class="line"><a name="l00872"></a><span class="lineno"> 872</span>&#160; <span class="keywordtype">int</span>, <span class="comment">// count</span></div><div class="line"><a name="l00873"></a><span class="lineno"> 873</span>&#160; <span class="keywordtype">int</span>, <span class="comment">// stride </span></div><div class="line"><a name="l00874"></a><span class="lineno"> 874</span>&#160; const <span class="keywordtype">double</span>*, <span class="comment">// points</span></div><div class="line"><a name="l00875"></a><span class="lineno"> 875</span>&#160; <span class="keywordtype">bool</span> bTestZ = true <span class="comment">// bTestZ</span></div><div class="line"><a name="l00876"></a><span class="lineno"> 876</span>&#160; ) const;</div><div class="line"><a name="l00877"></a><span class="lineno"> 877</span>&#160;</div><div class="line"><a name="l00878"></a><span class="lineno"> 878</span>&#160; <span class="comment">// Description: Computes 3d clipping flags for a 3d bounding</span></div><div class="line"><a name="l00879"></a><span class="lineno"> 879</span>&#160; <span class="comment">// box and returns an int with bits set to indicate if</span></div><div class="line"><a name="l00880"></a><span class="lineno"> 880</span>&#160; <span class="comment">// the bounding box is outside of the clipping box.</span></div><div class="line"><a name="l00881"></a><span class="lineno"> 881</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00882"></a><span class="lineno"> 882</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00883"></a><span class="lineno"> 883</span>&#160; <span class="comment">// boxmin - [in] 3d boxmin corner</span></div><div class="line"><a name="l00884"></a><span class="lineno"> 884</span>&#160; <span class="comment">// boxmax - [in] 3d boxmax corner</span></div><div class="line"><a name="l00885"></a><span class="lineno"> 885</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00886"></a><span class="lineno"> 886</span>&#160; <span class="comment">// Returns: </span></div><div class="line"><a name="l00887"></a><span class="lineno"> 887</span>&#160; <span class="comment">// @table </span></div><div class="line"><a name="l00888"></a><span class="lineno"> 888</span>&#160; <span class="comment">// bit box location</span></div><div class="line"><a name="l00889"></a><span class="lineno"> 889</span>&#160; <span class="comment">// 1 boxmax x &lt; -1</span></div><div class="line"><a name="l00890"></a><span class="lineno"> 890</span>&#160; <span class="comment">// 2 boxmin x &gt; +1</span></div><div class="line"><a name="l00891"></a><span class="lineno"> 891</span>&#160; <span class="comment">// 4 boxmax y &lt; -1</span></div><div class="line"><a name="l00892"></a><span class="lineno"> 892</span>&#160; <span class="comment">// 8 boxmin y &gt; +1</span></div><div class="line"><a name="l00893"></a><span class="lineno"> 893</span>&#160; <span class="comment">// 16 boxmax z &lt; -1</span></div><div class="line"><a name="l00894"></a><span class="lineno"> 894</span>&#160; <span class="comment">// 32 boxmin z &gt; +1</span></div><div class="line"><a name="l00895"></a><span class="lineno"> 895</span>&#160; <span class="keywordtype">int</span> ClipFlag3dBox(</div><div class="line"><a name="l00896"></a><span class="lineno"> 896</span>&#160; const <span class="keywordtype">double</span>*, <span class="comment">// boxmin</span></div><div class="line"><a name="l00897"></a><span class="lineno"> 897</span>&#160; const <span class="keywordtype">double</span>* <span class="comment">// boxmax</span></div><div class="line"><a name="l00898"></a><span class="lineno"> 898</span>&#160; ) const;</div><div class="line"><a name="l00899"></a><span class="lineno"> 899</span>&#160;</div><div class="line"><a name="l00900"></a><span class="lineno"> 900</span>&#160;</div><div class="line"><a name="l00901"></a><span class="lineno"> 901</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00902"></a><span class="lineno"> 902</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00903"></a><span class="lineno"> 903</span>&#160;<span class="comment"> Calculates the transformation that linearly maps</span></div><div class="line"><a name="l00904"></a><span class="lineno"><a class="line" href="../../da/db3/class_o_n___clipping_region.html"> 904</a></span>&#160;<span class="comment"> old_interval to new_interval.</span></div><div class="line"><a name="l00905"></a><span class="lineno"> 905</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l00906"></a><span class="lineno"> 906</span>&#160;<span class="comment"> dir - [in] 0 = x, 1 = y, 2= z;</span></div><div class="line"><a name="l00907"></a><span class="lineno"> 907</span>&#160;<span class="comment"> old_interval - [in]</span></div><div class="line"><a name="l00908"></a><span class="lineno"> 908</span>&#160;<span class="comment"> new_interval - [in]</span></div><div class="line"><a name="l00909"></a><span class="lineno"> 909</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00910"></a><span class="lineno"> 910</span>&#160; <span class="keywordtype">bool</span> IntervalChange(</div><div class="line"><a name="l00911"></a><span class="lineno"> 911</span>&#160; <span class="keywordtype">int</span> dir,</div><div class="line"><a name="l00912"></a><span class="lineno"> 912</span>&#160; <a class="code" href="../../dc/dc7/class_o_n___interval.html">ON_Interval</a> old_interval,</div><div class="line"><a name="l00913"></a><span class="lineno"> 913</span>&#160; <a class="code" href="../../dc/dc7/class_o_n___interval.html">ON_Interval</a> new_interval</div><div class="line"><a name="l00914"></a><span class="lineno"> 914</span>&#160; );</div><div class="line"><a name="l00915"></a><span class="lineno"> 915</span>&#160;};</div><div class="line"><a name="l00916"></a><span class="lineno"> 916</span>&#160;</div><div class="line"><a name="l00917"></a><span class="lineno"> 917</span>&#160;ON_DECL</div><div class="line"><a name="l00918"></a><span class="lineno"> 918</span>&#160;const <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> operator*(<span class="keywordtype">double</span> c, const <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>&amp; xform);</div><div class="line"><a name="l00919"></a><span class="lineno"> 919</span>&#160;</div><div class="line"><a name="l00920"></a><span class="lineno"> 920</span>&#160;ON_DECL</div><div class="line"><a name="l00921"></a><span class="lineno"> 921</span>&#160;const <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> operator*(const <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>&amp; xform, <span class="keywordtype">double</span> c);</div><div class="line"><a name="l00922"></a><span class="lineno"> 922</span>&#160;</div><div class="line"><a name="l00923"></a><span class="lineno"> 923</span>&#160;class ON_CLASS <a class="code" href="../../da/db3/class_o_n___clipping_region.html">ON_ClippingRegion</a></div><div class="line"><a name="l00924"></a><span class="lineno"> 924</span>&#160;{</div><div class="line"><a name="l00925"></a><span class="lineno"> 925</span>&#160;<span class="keyword">public</span>:</div><div class="line"><a name="l00926"></a><span class="lineno"> 926</span>&#160; ON_ClippingRegion();</div><div class="line"><a name="l00927"></a><span class="lineno"> 927</span>&#160;</div><div class="line"><a name="l00928"></a><span class="lineno"> 928</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00929"></a><span class="lineno"> 929</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00930"></a><span class="lineno"> 930</span>&#160;<span class="comment"> Sets the object to clip transformation to</span></div><div class="line"><a name="l00931"></a><span class="lineno"> 931</span>&#160;<span class="comment"> the viewport&#39;s workd to clip transformation.</span></div><div class="line"><a name="l00932"></a><span class="lineno"> 932</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00933"></a><span class="lineno"> 933</span>&#160; <span class="keywordtype">bool</span> SetObjectToClipTransformation(</div><div class="line"><a name="l00934"></a><span class="lineno"> 934</span>&#160; <span class="keyword">const</span> <span class="keyword">class</span> <a class="code" href="../../d4/deb/class_o_n___viewport.html">ON_Viewport</a>&amp; viewport</div><div class="line"><a name="l00935"></a><span class="lineno"> 935</span>&#160; );</div><div class="line"><a name="l00936"></a><span class="lineno"> 936</span>&#160;</div><div class="line"><a name="l00937"></a><span class="lineno"> 937</span>&#160; <span class="keywordtype">bool</span> SetObjectToClipTransformation(</div><div class="line"><a name="l00938"></a><span class="lineno"> 938</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> object_to_clip_transformation</div><div class="line"><a name="l00939"></a><span class="lineno"> 939</span>&#160; );</div><div class="line"><a name="l00940"></a><span class="lineno"> 940</span>&#160;</div><div class="line"><a name="l00941"></a><span class="lineno"> 941</span>&#160; <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> ObjectToClipTransformation() <span class="keyword">const</span>;</div><div class="line"><a name="l00942"></a><span class="lineno"> 942</span>&#160; <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> InverseObjectToClipTransformation() <span class="keyword">const</span>;</div><div class="line"><a name="l00943"></a><span class="lineno"> 943</span>&#160;</div><div class="line"><a name="l00944"></a><span class="lineno"> 944</span>&#160;<span class="keyword">private</span>:</div><div class="line"><a name="l00945"></a><span class="lineno"> 945</span>&#160; <span class="comment">// The transformation m_xform transforms the view frustum,</span></div><div class="line"><a name="l00946"></a><span class="lineno"> 946</span>&#160; <span class="comment">// in object coordinates to the (-1,+1)^3 clipping </span></div><div class="line"><a name="l00947"></a><span class="lineno"> 947</span>&#160; <span class="comment">// coordinate box.</span></div><div class="line"><a name="l00948"></a><span class="lineno"> 948</span>&#160; <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> m_xform;</div><div class="line"><a name="l00949"></a><span class="lineno"> 949</span>&#160; <span class="keyword">mutable</span> <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> m_inverse_xform; <span class="comment">// = m_xform.Inverse().</span></div><div class="line"><a name="l00950"></a><span class="lineno"> 950</span>&#160;</div><div class="line"><a name="l00951"></a><span class="lineno"> 951</span>&#160;<span class="keyword">public</span>:</div><div class="line"><a name="l00952"></a><span class="lineno"> 952</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00953"></a><span class="lineno"> 953</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l00954"></a><span class="lineno"> 954</span>&#160;<span class="comment"> clip_plane_tolerance - [in] </span></div><div class="line"><a name="l00955"></a><span class="lineno"><a class="line" href="../../da/db3/class_o_n___clipping_region.html#a630cfb58f6cb4c81050a174f2caf3822a0705e8187649b87a60fde84e06781d5a"> 955</a></span>&#160;<span class="comment"> 3d world coordinates tolerance to use when testing </span></div><div class="line"><a name="l00956"></a><span class="lineno"><a class="line" href="../../da/db3/class_o_n___clipping_region.html#a630cfb58f6cb4c81050a174f2caf3822a6b9cd52921539546fec38665ae2de156"> 956</a></span>&#160;<span class="comment"> objects to see if the planes in m_clip_plane[] hide</span></div><div class="line"><a name="l00957"></a><span class="lineno"><a class="line" href="../../da/db3/class_o_n___clipping_region.html#a630cfb58f6cb4c81050a174f2caf3822af840e1d73fdb263a72f879bdb30e97df"> 957</a></span>&#160;<span class="comment"> the objects. </span></div><div class="line"><a name="l00958"></a><span class="lineno"><a class="line" href="../../da/db3/class_o_n___clipping_region.html#a630cfb58f6cb4c81050a174f2caf3822abd966df581aa9f44b812de87e3013706"> 958</a></span>&#160;<span class="comment"> Remarks:</span></div><div class="line"><a name="l00959"></a><span class="lineno"><a class="line" href="../../da/db3/class_o_n___clipping_region.html#a630cfb58f6cb4c81050a174f2caf3822a79785bd3848538b59c09ab41fd378e69"> 959</a></span>&#160;<span class="comment"> The constructor sets this value to zero. Rhino uses</span></div><div class="line"><a name="l00960"></a><span class="lineno"><a class="line" href="../../da/db3/class_o_n___clipping_region.html#a630cfb58f6cb4c81050a174f2caf3822a3c7357f854338486277975b5476d5cf6"> 960</a></span>&#160;<span class="comment"> values around 1e-5.</span></div><div class="line"><a name="l00961"></a><span class="lineno"> 961</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00962"></a><span class="lineno"> 962</span>&#160; <span class="keywordtype">void</span> SetClipPlaneTolerance( <span class="keywordtype">double</span> clip_plane_tolerance );</div><div class="line"><a name="l00963"></a><span class="lineno"> 963</span>&#160;</div><div class="line"><a name="l00964"></a><span class="lineno"> 964</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00965"></a><span class="lineno"> 965</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00966"></a><span class="lineno"><a class="line" href="../../da/db3/class_o_n___clipping_region.html#aeeaac7ec9af8658fc46660240418c645"> 966</a></span>&#160;<span class="comment"> 3d world coordinates tolerance to use when testing </span></div><div class="line"><a name="l00967"></a><span class="lineno"> 967</span>&#160;<span class="comment"> objects to see if the planes in m_clip_plane[] hide</span></div><div class="line"><a name="l00968"></a><span class="lineno"> 968</span>&#160;<span class="comment"> the objects. </span></div><div class="line"><a name="l00969"></a><span class="lineno"> 969</span>&#160;<span class="comment"> Remarks:</span></div><div class="line"><a name="l00970"></a><span class="lineno"> 970</span>&#160;<span class="comment"> The constructor sets this value to zero. Rhino uses</span></div><div class="line"><a name="l00971"></a><span class="lineno"> 971</span>&#160;<span class="comment"> values around 1e-5.</span></div><div class="line"><a name="l00972"></a><span class="lineno"><a class="line" href="../../da/db3/class_o_n___clipping_region.html#a3f02f975bf398cc464f11f0e27264495"> 972</a></span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00973"></a><span class="lineno"> 973</span>&#160; <span class="keywordtype">double</span> ClipPlaneTolerance() <span class="keyword">const</span>;</div><div class="line"><a name="l00974"></a><span class="lineno"> 974</span>&#160;</div><div class="line"><a name="l00975"></a><span class="lineno"> 975</span>&#160; <span class="keyword">enum</span></div><div class="line"><a name="l00976"></a><span class="lineno"> 976</span>&#160; {</div><div class="line"><a name="l00977"></a><span class="lineno"> 977</span>&#160; max_clip_plane_count = 16, <span class="comment">// must be &lt;= 25</span></div><div class="line"><a name="l00978"></a><span class="lineno"> 978</span>&#160; frustum_bitmask = 0x0000003F,</div><div class="line"><a name="l00979"></a><span class="lineno"> 979</span>&#160; near_plane_bitmask = 0x00000020,</div><div class="line"><a name="l00980"></a><span class="lineno"> 980</span>&#160; far_plane_bitmask = 0x00000010,</div><div class="line"><a name="l00981"></a><span class="lineno"> 981</span>&#160; clip_plane_bitmask = 0x7FFFFFC0,</div><div class="line"><a name="l00982"></a><span class="lineno"> 982</span>&#160; negw_bitmask = 0x80000000</div><div class="line"><a name="l00983"></a><span class="lineno"> 983</span>&#160; };</div><div class="line"><a name="l00984"></a><span class="lineno"> 984</span>&#160;</div><div class="line"><a name="l00985"></a><span class="lineno"> 985</span>&#160; <span class="comment">// Up to 25 additional clipping planes in object coordinates.</span></div><div class="line"><a name="l00986"></a><span class="lineno"> 986</span>&#160; <span class="comment">// The convex region that is the intersection of the positive </span></div><div class="line"><a name="l00987"></a><span class="lineno"> 987</span>&#160; <span class="comment">// side of these planes is the active region.</span></div><div class="line"><a name="l00988"></a><span class="lineno"> 988</span>&#160; <span class="keywordtype">int</span> m_clip_plane_count; <span class="comment">// (0 &lt;= m_clip_plane_count &lt;= max_clip_plane_count)</span></div><div class="line"><a name="l00989"></a><span class="lineno"> 989</span>&#160;</div><div class="line"><a name="l00990"></a><span class="lineno"> 990</span>&#160;<span class="keyword">private</span>:</div><div class="line"><a name="l00991"></a><span class="lineno"> 991</span>&#160; <span class="keywordtype">double</span> m_clip_plane_tolerance;</div><div class="line"><a name="l00992"></a><span class="lineno"> 992</span>&#160;</div><div class="line"><a name="l00993"></a><span class="lineno"> 993</span>&#160;<span class="keyword">public</span>:</div><div class="line"><a name="l00994"></a><span class="lineno"> 994</span>&#160; <a class="code" href="../../dd/d89/class_o_n___plane_equation.html">ON_PlaneEquation</a> m_clip_plane[max_clip_plane_count];</div><div class="line"><a name="l00995"></a><span class="lineno"> 995</span>&#160;</div><div class="line"><a name="l00996"></a><span class="lineno"> 996</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00997"></a><span class="lineno"> 997</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00998"></a><span class="lineno"> 998</span>&#160;<span class="comment"> The &quot;view frustum&quot; is the frustum the m_xform transformation</span></div><div class="line"><a name="l00999"></a><span class="lineno"> 999</span>&#160;<span class="comment"> maps to clipping coordinate box (-1,+1)^3. These functions</span></div><div class="line"><a name="l01000"></a><span class="lineno"> 1000</span>&#160;<span class="comment"> determine if some portion of the convex hull of the test points</span></div><div class="line"><a name="l01001"></a><span class="lineno"> 1001</span>&#160;<span class="comment"> is inside the view frustum.</span></div><div class="line"><a name="l01002"></a><span class="lineno"> 1002</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l01003"></a><span class="lineno"> 1003</span>&#160;<span class="comment"> P - [in] point</span></div><div class="line"><a name="l01004"></a><span class="lineno"> 1004</span>&#160;<span class="comment"> box - [in] bounding box</span></div><div class="line"><a name="l01005"></a><span class="lineno"> 1005</span>&#160;<span class="comment"> count - [in] number of points</span></div><div class="line"><a name="l01006"></a><span class="lineno"> 1006</span>&#160;<span class="comment"> p - [in] array of points</span></div><div class="line"><a name="l01007"></a><span class="lineno"> 1007</span>&#160;<span class="comment"> bEnableClippingPlanes - [in]</span></div><div class="line"><a name="l01008"></a><span class="lineno"> 1008</span>&#160;<span class="comment"> If true, then the additional clipping planes are tested.</span></div><div class="line"><a name="l01009"></a><span class="lineno"> 1009</span>&#160;<span class="comment"> If false, then the additional clipping planes are ignored.</span></div><div class="line"><a name="l01010"></a><span class="lineno"> 1010</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l01011"></a><span class="lineno"> 1011</span>&#160;<span class="comment"> 0 = No part of the of the convex hull of the tested points</span></div><div class="line"><a name="l01012"></a><span class="lineno"> 1012</span>&#160;<span class="comment"> is in the view frustum.</span></div><div class="line"><a name="l01013"></a><span class="lineno"> 1013</span>&#160;<span class="comment"> 1 = A portion of the convex hull of the otested points may</span></div><div class="line"><a name="l01014"></a><span class="lineno"> 1014</span>&#160;<span class="comment"> be in the view frustum.</span></div><div class="line"><a name="l01015"></a><span class="lineno"> 1015</span>&#160;<span class="comment"> 2 = The entire convex hull of the tested points is in the</span></div><div class="line"><a name="l01016"></a><span class="lineno"> 1016</span>&#160;<span class="comment"> view frustum.</span></div><div class="line"><a name="l01017"></a><span class="lineno"> 1017</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01018"></a><span class="lineno"> 1018</span>&#160; <span class="keywordtype">int</span> InViewFrustum( </div><div class="line"><a name="l01019"></a><span class="lineno"> 1019</span>&#160; ON_3dPoint P</div><div class="line"><a name="l01020"></a><span class="lineno"> 1020</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l01021"></a><span class="lineno"> 1021</span>&#160; <span class="keywordtype">int</span> InViewFrustum( </div><div class="line"><a name="l01022"></a><span class="lineno"> 1022</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d1/d17/class_o_n___bounding_box.html">ON_BoundingBox</a>&amp; bbox</div><div class="line"><a name="l01023"></a><span class="lineno"> 1023</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l01024"></a><span class="lineno"> 1024</span>&#160; <span class="keywordtype">int</span> InViewFrustum( </div><div class="line"><a name="l01025"></a><span class="lineno"> 1025</span>&#160; <span class="keywordtype">int</span> count, </div><div class="line"><a name="l01026"></a><span class="lineno"> 1026</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d0/dec/class_o_n__3f_point.html">ON_3fPoint</a>* p</div><div class="line"><a name="l01027"></a><span class="lineno"> 1027</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l01028"></a><span class="lineno"> 1028</span>&#160; <span class="keywordtype">int</span> InViewFrustum( </div><div class="line"><a name="l01029"></a><span class="lineno"> 1029</span>&#160; <span class="keywordtype">int</span> count, </div><div class="line"><a name="l01030"></a><span class="lineno"> 1030</span>&#160; <span class="keyword">const</span> ON_3dPoint* p</div><div class="line"><a name="l01031"></a><span class="lineno"> 1031</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l01032"></a><span class="lineno"> 1032</span>&#160; <span class="keywordtype">int</span> InViewFrustum( </div><div class="line"><a name="l01033"></a><span class="lineno"> 1033</span>&#160; <span class="keywordtype">int</span> count, </div><div class="line"><a name="l01034"></a><span class="lineno"> 1034</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d9/db1/class_o_n__4d_point.html">ON_4dPoint</a>* p</div><div class="line"><a name="l01035"></a><span class="lineno"> 1035</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l01036"></a><span class="lineno"> 1036</span>&#160;</div><div class="line"><a name="l01037"></a><span class="lineno"> 1037</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01038"></a><span class="lineno"> 1038</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l01039"></a><span class="lineno"> 1039</span>&#160;<span class="comment"> The &quot;clip plane region&quot; is the convex hull of the planes in</span></div><div class="line"><a name="l01040"></a><span class="lineno"> 1040</span>&#160;<span class="comment"> the m_clip_plane[] array. These functions determine if</span></div><div class="line"><a name="l01041"></a><span class="lineno"> 1041</span>&#160;<span class="comment"> some portion of the convex hull of the test points is inside</span></div><div class="line"><a name="l01042"></a><span class="lineno"> 1042</span>&#160;<span class="comment"> the clip plane region.</span></div><div class="line"><a name="l01043"></a><span class="lineno"> 1043</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l01044"></a><span class="lineno"> 1044</span>&#160;<span class="comment"> P - [in] point</span></div><div class="line"><a name="l01045"></a><span class="lineno"> 1045</span>&#160;<span class="comment"> box - [in] bounding box</span></div><div class="line"><a name="l01046"></a><span class="lineno"> 1046</span>&#160;<span class="comment"> count - [in] number of points</span></div><div class="line"><a name="l01047"></a><span class="lineno"> 1047</span>&#160;<span class="comment"> p - [in] array of points</span></div><div class="line"><a name="l01048"></a><span class="lineno"> 1048</span>&#160;<span class="comment"> bEnableClippingPlanes - [in]</span></div><div class="line"><a name="l01049"></a><span class="lineno"> 1049</span>&#160;<span class="comment"> If true, then the additional clipping planes are tested.</span></div><div class="line"><a name="l01050"></a><span class="lineno"> 1050</span>&#160;<span class="comment"> If false, then the additional clipping planes are ignored.</span></div><div class="line"><a name="l01051"></a><span class="lineno"> 1051</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l01052"></a><span class="lineno"> 1052</span>&#160;<span class="comment"> 0 = No part of the of the convex hull of the tested points</span></div><div class="line"><a name="l01053"></a><span class="lineno"> 1053</span>&#160;<span class="comment"> is in the clip plane region.</span></div><div class="line"><a name="l01054"></a><span class="lineno"> 1054</span>&#160;<span class="comment"> 1 = A portion of the convex hull of the tested points may</span></div><div class="line"><a name="l01055"></a><span class="lineno"> 1055</span>&#160;<span class="comment"> be in the clip plane region.</span></div><div class="line"><a name="l01056"></a><span class="lineno"> 1056</span>&#160;<span class="comment"> 2 = The entire convex hull of the tested points is in the</span></div><div class="line"><a name="l01057"></a><span class="lineno"> 1057</span>&#160;<span class="comment"> clip plane region.</span></div><div class="line"><a name="l01058"></a><span class="lineno"> 1058</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01059"></a><span class="lineno"> 1059</span>&#160; <span class="keywordtype">int</span> InClipPlaneRegion( </div><div class="line"><a name="l01060"></a><span class="lineno"> 1060</span>&#160; ON_3dPoint P</div><div class="line"><a name="l01061"></a><span class="lineno"> 1061</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l01062"></a><span class="lineno"> 1062</span>&#160; <span class="keywordtype">int</span> InClipPlaneRegion( </div><div class="line"><a name="l01063"></a><span class="lineno"> 1063</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d1/d17/class_o_n___bounding_box.html">ON_BoundingBox</a>&amp; bbox</div><div class="line"><a name="l01064"></a><span class="lineno"> 1064</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l01065"></a><span class="lineno"> 1065</span>&#160; <span class="keywordtype">int</span> InClipPlaneRegion( </div><div class="line"><a name="l01066"></a><span class="lineno"> 1066</span>&#160; <span class="keywordtype">int</span> count, </div><div class="line"><a name="l01067"></a><span class="lineno"> 1067</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d0/dec/class_o_n__3f_point.html">ON_3fPoint</a>* p</div><div class="line"><a name="l01068"></a><span class="lineno"> 1068</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l01069"></a><span class="lineno"> 1069</span>&#160; <span class="keywordtype">int</span> InClipPlaneRegion( </div><div class="line"><a name="l01070"></a><span class="lineno"> 1070</span>&#160; <span class="keywordtype">int</span> count, </div><div class="line"><a name="l01071"></a><span class="lineno"> 1071</span>&#160; <span class="keyword">const</span> ON_3dPoint* p</div><div class="line"><a name="l01072"></a><span class="lineno"> 1072</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l01073"></a><span class="lineno"> 1073</span>&#160; <span class="keywordtype">int</span> InClipPlaneRegion( </div><div class="line"><a name="l01074"></a><span class="lineno"> 1074</span>&#160; <span class="keywordtype">int</span> count, </div><div class="line"><a name="l01075"></a><span class="lineno"> 1075</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d9/db1/class_o_n__4d_point.html">ON_4dPoint</a>* p</div><div class="line"><a name="l01076"></a><span class="lineno"> 1076</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l01077"></a><span class="lineno"> 1077</span>&#160;</div><div class="line"><a name="l01078"></a><span class="lineno"> 1078</span>&#160;</div><div class="line"><a name="l01079"></a><span class="lineno"> 1079</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01080"></a><span class="lineno"> 1080</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l01081"></a><span class="lineno"> 1081</span>&#160;<span class="comment"> The &quot;visible area&quot; is the intersection of the view frustum,</span></div><div class="line"><a name="l01082"></a><span class="lineno"> 1082</span>&#160;<span class="comment"> defined by m_xform, and the clipping region, defined by the</span></div><div class="line"><a name="l01083"></a><span class="lineno"> 1083</span>&#160;<span class="comment"> m_clip_plane[] array. These functions determing if some</span></div><div class="line"><a name="l01084"></a><span class="lineno"> 1084</span>&#160;<span class="comment"> portion of the convex hull of the test points is visible.</span></div><div class="line"><a name="l01085"></a><span class="lineno"> 1085</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l01086"></a><span class="lineno"> 1086</span>&#160;<span class="comment"> P - [in] point</span></div><div class="line"><a name="l01087"></a><span class="lineno"> 1087</span>&#160;<span class="comment"> box - [in] bounding box</span></div><div class="line"><a name="l01088"></a><span class="lineno"> 1088</span>&#160;<span class="comment"> count - [in] number of points</span></div><div class="line"><a name="l01089"></a><span class="lineno"> 1089</span>&#160;<span class="comment"> p - [in] array of points</span></div><div class="line"><a name="l01090"></a><span class="lineno"> 1090</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l01091"></a><span class="lineno"> 1091</span>&#160;<span class="comment"> 0 = no part of the object is in the region.</span></div><div class="line"><a name="l01092"></a><span class="lineno"> 1092</span>&#160;<span class="comment"> 1 = a portion of the object is in the region</span></div><div class="line"><a name="l01093"></a><span class="lineno"> 1093</span>&#160;<span class="comment"> 2 = entire object is in clipping region</span></div><div class="line"><a name="l01094"></a><span class="lineno"> 1094</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01095"></a><span class="lineno"> 1095</span>&#160; <span class="keywordtype">int</span> IsVisible( </div><div class="line"><a name="l01096"></a><span class="lineno"> 1096</span>&#160; ON_3dPoint P</div><div class="line"><a name="l01097"></a><span class="lineno"> 1097</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l01098"></a><span class="lineno"> 1098</span>&#160; <span class="keywordtype">int</span> IsVisible( </div><div class="line"><a name="l01099"></a><span class="lineno"> 1099</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d1/d17/class_o_n___bounding_box.html">ON_BoundingBox</a>&amp; bbox</div><div class="line"><a name="l01100"></a><span class="lineno"> 1100</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l01101"></a><span class="lineno"> 1101</span>&#160; <span class="keywordtype">int</span> IsVisible( </div><div class="line"><a name="l01102"></a><span class="lineno"> 1102</span>&#160; <span class="keywordtype">int</span> count, </div><div class="line"><a name="l01103"></a><span class="lineno"> 1103</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d0/dec/class_o_n__3f_point.html">ON_3fPoint</a>* p</div><div class="line"><a name="l01104"></a><span class="lineno"> 1104</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l01105"></a><span class="lineno"> 1105</span>&#160; <span class="keywordtype">int</span> IsVisible( </div><div class="line"><a name="l01106"></a><span class="lineno"> 1106</span>&#160; <span class="keywordtype">int</span> count, </div><div class="line"><a name="l01107"></a><span class="lineno"> 1107</span>&#160; <span class="keyword">const</span> ON_3dPoint* p</div><div class="line"><a name="l01108"></a><span class="lineno"> 1108</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l01109"></a><span class="lineno"> 1109</span>&#160; <span class="keywordtype">int</span> IsVisible( </div><div class="line"><a name="l01110"></a><span class="lineno"> 1110</span>&#160; <span class="keywordtype">int</span> count, </div><div class="line"><a name="l01111"></a><span class="lineno"> 1111</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d9/db1/class_o_n__4d_point.html">ON_4dPoint</a>* p</div><div class="line"><a name="l01112"></a><span class="lineno"> 1112</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l01113"></a><span class="lineno"> 1113</span>&#160;</div><div class="line"><a name="l01114"></a><span class="lineno"> 1114</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01115"></a><span class="lineno"> 1115</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l01116"></a><span class="lineno"> 1116</span>&#160;<span class="comment"> Transform a list of 4d homogenous points while testing</span></div><div class="line"><a name="l01117"></a><span class="lineno"> 1117</span>&#160;<span class="comment"> for visibility.</span></div><div class="line"><a name="l01118"></a><span class="lineno"> 1118</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l01119"></a><span class="lineno"> 1119</span>&#160;<span class="comment"> count - [in] number of points</span></div><div class="line"><a name="l01120"></a><span class="lineno"> 1120</span>&#160;<span class="comment"> p - [in/out] array of points to test and transform</span></div><div class="line"><a name="l01121"></a><span class="lineno"> 1121</span>&#160;<span class="comment"> If 0 is returned, some of the points may not</span></div><div class="line"><a name="l01122"></a><span class="lineno"> 1122</span>&#160;<span class="comment"> be transformed. In all other cases, the output</span></div><div class="line"><a name="l01123"></a><span class="lineno"> 1123</span>&#160;<span class="comment"> points are transformed by m_xform.</span></div><div class="line"><a name="l01124"></a><span class="lineno"> 1124</span>&#160;<span class="comment"> pflags - [out]</span></div><div class="line"><a name="l01125"></a><span class="lineno"> 1125</span>&#160;<span class="comment"> 0 when the point is in the visible region. </span></div><div class="line"><a name="l01126"></a><span class="lineno"> 1126</span>&#160;<span class="comment"> Otherwise the bits are set to indicate which planes clip the</span></div><div class="line"><a name="l01127"></a><span class="lineno"> 1127</span>&#160;<span class="comment"> intput point.</span></div><div class="line"><a name="l01128"></a><span class="lineno"> 1128</span>&#160;<span class="comment"> 0x01 left of the view frusturm</span></div><div class="line"><a name="l01129"></a><span class="lineno"> 1129</span>&#160;<span class="comment"> 0x02 right of the view frustum</span></div><div class="line"><a name="l01130"></a><span class="lineno"> 1130</span>&#160;<span class="comment"> 0x04 below the view frustum</span></div><div class="line"><a name="l01131"></a><span class="lineno"> 1131</span>&#160;<span class="comment"> 0x08 above the view frustum</span></div><div class="line"><a name="l01132"></a><span class="lineno"> 1132</span>&#160;<span class="comment"> 0x10 behind the view frustum (too far)</span></div><div class="line"><a name="l01133"></a><span class="lineno"> 1133</span>&#160;<span class="comment"> 0x20 in front of the view frustum (too near)</span></div><div class="line"><a name="l01134"></a><span class="lineno"> 1134</span>&#160;<span class="comment"></span></div><div class="line"><a name="l01135"></a><span class="lineno"> 1135</span>&#160;<span class="comment"> 0x10 below m_clip_plane[0]</span></div><div class="line"><a name="l01136"></a><span class="lineno"> 1136</span>&#160;<span class="comment"> 0x20 below m_clip_plane[1]</span></div><div class="line"><a name="l01137"></a><span class="lineno"> 1137</span>&#160;<span class="comment"> ...</span></div><div class="line"><a name="l01138"></a><span class="lineno"> 1138</span>&#160;<span class="comment"> 0x40000000 below m_clip_plane[24]</span></div><div class="line"><a name="l01139"></a><span class="lineno"> 1139</span>&#160;<span class="comment"></span></div><div class="line"><a name="l01140"></a><span class="lineno"> 1140</span>&#160;<span class="comment"> 0x80000000 transformation created a non-positive weight</span></div><div class="line"><a name="l01141"></a><span class="lineno"> 1141</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l01142"></a><span class="lineno"> 1142</span>&#160;<span class="comment"> 0 = convex hull of the points is not in the region.</span></div><div class="line"><a name="l01143"></a><span class="lineno"> 1143</span>&#160;<span class="comment"> The m_cull_bits field reports which plane or planes</span></div><div class="line"><a name="l01144"></a><span class="lineno"> 1144</span>&#160;<span class="comment"> culled the point set.</span></div><div class="line"><a name="l01145"></a><span class="lineno"> 1145</span>&#160;<span class="comment"> 1 = a portion of the convex hull is in the region.</span></div><div class="line"><a name="l01146"></a><span class="lineno"> 1146</span>&#160;<span class="comment"> The m_cull_bits field reports which plane or planes</span></div><div class="line"><a name="l01147"></a><span class="lineno"> 1147</span>&#160;<span class="comment"> culled the point set.</span></div><div class="line"><a name="l01148"></a><span class="lineno"> 1148</span>&#160;<span class="comment"> 2 = all points are in the region.</span></div><div class="line"><a name="l01149"></a><span class="lineno"> 1149</span>&#160;<span class="comment"> The m_cull_bits field will be zero.</span></div><div class="line"><a name="l01150"></a><span class="lineno"> 1150</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01151"></a><span class="lineno"> 1151</span>&#160; <span class="keywordtype">int</span> TransformPoints( <span class="keywordtype">int</span> count, <a class="code" href="../../d9/db1/class_o_n__4d_point.html">ON_4dPoint</a>* p ) <span class="keyword">const</span>;</div><div class="line"><a name="l01152"></a><span class="lineno"> 1152</span>&#160; <span class="keywordtype">int</span> TransformPoints( <span class="keywordtype">int</span> count, <a class="code" href="../../d9/db1/class_o_n__4d_point.html">ON_4dPoint</a>* p, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span>* pflags ) <span class="keyword">const</span>;</div><div class="line"><a name="l01153"></a><span class="lineno"> 1153</span>&#160;</div><div class="line"><a name="l01154"></a><span class="lineno"> 1154</span>&#160;</div><div class="line"><a name="l01155"></a><span class="lineno"> 1155</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01156"></a><span class="lineno"> 1156</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l01157"></a><span class="lineno"> 1157</span>&#160;<span class="comment"> Transform a pont and return the clipping information.</span></div><div class="line"><a name="l01158"></a><span class="lineno"> 1158</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l01159"></a><span class="lineno"> 1159</span>&#160;<span class="comment"> P - [in] point ot transform</span></div><div class="line"><a name="l01160"></a><span class="lineno"> 1160</span>&#160;<span class="comment"> Q - [out] transformed point</span></div><div class="line"><a name="l01161"></a><span class="lineno"> 1161</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l01162"></a><span class="lineno"> 1162</span>&#160;<span class="comment"> 0 when the point is in the visible region. </span></div><div class="line"><a name="l01163"></a><span class="lineno"> 1163</span>&#160;<span class="comment"> Otherwise the bits are set to indicate which planes clip the</span></div><div class="line"><a name="l01164"></a><span class="lineno"> 1164</span>&#160;<span class="comment"> intput point.</span></div><div class="line"><a name="l01165"></a><span class="lineno"> 1165</span>&#160;<span class="comment"> 0x01 left of the view frusturm</span></div><div class="line"><a name="l01166"></a><span class="lineno"> 1166</span>&#160;<span class="comment"> 0x02 right of the view frustum</span></div><div class="line"><a name="l01167"></a><span class="lineno"> 1167</span>&#160;<span class="comment"> 0x04 below the view frustum</span></div><div class="line"><a name="l01168"></a><span class="lineno"> 1168</span>&#160;<span class="comment"> 0x08 above the view frustum</span></div><div class="line"><a name="l01169"></a><span class="lineno"> 1169</span>&#160;<span class="comment"> 0x10 behind the view frustum (too far)</span></div><div class="line"><a name="l01170"></a><span class="lineno"> 1170</span>&#160;<span class="comment"> 0x20 in front of the view frustum (too near)</span></div><div class="line"><a name="l01171"></a><span class="lineno"> 1171</span>&#160;<span class="comment"></span></div><div class="line"><a name="l01172"></a><span class="lineno"> 1172</span>&#160;<span class="comment"> 0x10 below m_clip_plane[0]</span></div><div class="line"><a name="l01173"></a><span class="lineno"> 1173</span>&#160;<span class="comment"> 0x20 below m_clip_plane[1]</span></div><div class="line"><a name="l01174"></a><span class="lineno"> 1174</span>&#160;<span class="comment"> ...</span></div><div class="line"><a name="l01175"></a><span class="lineno"> 1175</span>&#160;<span class="comment"> 0x40000000 below m_clip_plane[24]</span></div><div class="line"><a name="l01176"></a><span class="lineno"> 1176</span>&#160;<span class="comment"></span></div><div class="line"><a name="l01177"></a><span class="lineno"> 1177</span>&#160;<span class="comment"> 0x80000000 transformation created a non-positive weight</span></div><div class="line"><a name="l01178"></a><span class="lineno"> 1178</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01179"></a><span class="lineno"> 1179</span>&#160; <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> TransformPoint(</div><div class="line"><a name="l01180"></a><span class="lineno"> 1180</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d9/db1/class_o_n__4d_point.html">ON_4dPoint</a>&amp; P, </div><div class="line"><a name="l01181"></a><span class="lineno"> 1181</span>&#160; <a class="code" href="../../d9/db1/class_o_n__4d_point.html">ON_4dPoint</a>&amp; Q</div><div class="line"><a name="l01182"></a><span class="lineno"> 1182</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l01183"></a><span class="lineno"> 1183</span>&#160; <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> TransformPoint(</div><div class="line"><a name="l01184"></a><span class="lineno"> 1184</span>&#160; <span class="keyword">const</span> ON_3dPoint&amp; P, </div><div class="line"><a name="l01185"></a><span class="lineno"> 1185</span>&#160; ON_3dPoint&amp; Q</div><div class="line"><a name="l01186"></a><span class="lineno"> 1186</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l01187"></a><span class="lineno"> 1187</span>&#160; <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> TransformPoint(</div><div class="line"><a name="l01188"></a><span class="lineno"> 1188</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d0/dec/class_o_n__3f_point.html">ON_3fPoint</a>&amp; P, </div><div class="line"><a name="l01189"></a><span class="lineno"> 1189</span>&#160; ON_3dPoint&amp; Q</div><div class="line"><a name="l01190"></a><span class="lineno"> 1190</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l01191"></a><span class="lineno"><a class="line" href="../../d9/d6f/class_o_n___clipping_region_points.html"> 1191</a></span>&#160;</div><div class="line"><a name="l01192"></a><span class="lineno"> 1192</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01193"></a><span class="lineno"> 1193</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l01194"></a><span class="lineno"><a class="line" href="../../d9/d6f/class_o_n___clipping_region_points.html#aee9c2a2250800185ae57d0eaed94e598"> 1194</a></span>&#160;<span class="comment"> Calculate the interval for the segment of a line that</span></div><div class="line"><a name="l01195"></a><span class="lineno"> 1195</span>&#160;<span class="comment"> is in the clip plane region.</span></div><div class="line"><a name="l01196"></a><span class="lineno"> 1196</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l01197"></a><span class="lineno"> 1197</span>&#160;<span class="comment"> P0 - [in] start point</span></div><div class="line"><a name="l01198"></a><span class="lineno"> 1198</span>&#160;<span class="comment"> P1 - [in] end point</span></div><div class="line"><a name="l01199"></a><span class="lineno"> 1199</span>&#160;<span class="comment"> t0 - [out] start parameter</span></div><div class="line"><a name="l01200"></a><span class="lineno"> 1200</span>&#160;<span class="comment"> t1 - [out] end parameter</span></div><div class="line"><a name="l01201"></a><span class="lineno"> 1201</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l01202"></a><span class="lineno"> 1202</span>&#160;<span class="comment"> True if some portion of the line is visible and</span></div><div class="line"><a name="l01203"></a><span class="lineno"> 1203</span>&#160;<span class="comment"> 0.0 &lt;= *t0 &lt;= *t1 &lt;= 1.0.</span></div><div class="line"><a name="l01204"></a><span class="lineno"> 1204</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01205"></a><span class="lineno"> 1205</span>&#160; <span class="keywordtype">bool</span> GetLineClipPlaneParamters( </div><div class="line"><a name="l01206"></a><span class="lineno"> 1206</span>&#160; <a class="code" href="../../d9/db1/class_o_n__4d_point.html">ON_4dPoint</a> P0, </div><div class="line"><a name="l01207"></a><span class="lineno"> 1207</span>&#160; <a class="code" href="../../d9/db1/class_o_n__4d_point.html">ON_4dPoint</a> P1, </div><div class="line"><a name="l01208"></a><span class="lineno"> 1208</span>&#160; <span class="keywordtype">double</span>* t0, </div><div class="line"><a name="l01209"></a><span class="lineno"> 1209</span>&#160; <span class="keywordtype">double</span>* t1 </div><div class="line"><a name="l01210"></a><span class="lineno"> 1210</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l01211"></a><span class="lineno"> 1211</span>&#160;</div><div class="line"><a name="l01212"></a><span class="lineno"> 1212</span>&#160;};</div><div class="line"><a name="l01213"></a><span class="lineno"> 1213</span>&#160;</div><div class="line"><a name="l01214"></a><span class="lineno"> 1214</span>&#160;<span class="comment">/*</span></div><div class="line"><a name="l01215"></a><span class="lineno"> 1215</span>&#160;<span class="comment">Description:</span></div><div class="line"><a name="l01216"></a><span class="lineno"> 1216</span>&#160;<span class="comment"> ON_ClippingRegionPoints is a container for storing or referencing </span></div><div class="line"><a name="l01217"></a><span class="lineno"> 1217</span>&#160;<span class="comment"> clip points and clip flags.</span></div><div class="line"><a name="l01218"></a><span class="lineno"> 1218</span>&#160;<span class="comment"> The values are typically calcuated by ON_ClippingRegion.TransformPoint().</span></div><div class="line"><a name="l01219"></a><span class="lineno"> 1219</span>&#160;<span class="comment">*/</span></div><div class="line"><a name="l01220"></a><span class="lineno"> 1220</span>&#160;<span class="keyword">class </span>ON_CLASS <a class="code" href="../../d9/d6f/class_o_n___clipping_region_points.html">ON_ClippingRegionPoints</a></div><div class="line"><a name="l01221"></a><span class="lineno"> 1221</span>&#160;{</div><div class="line"><a name="l01222"></a><span class="lineno"> 1222</span>&#160;<span class="keyword">public</span>:</div><div class="line"><a name="l01223"></a><span class="lineno"> 1223</span>&#160; <span class="keyword">static</span> <span class="keyword">const</span> <a class="code" href="../../d9/d6f/class_o_n___clipping_region_points.html">ON_ClippingRegionPoints</a> Empty;</div><div class="line"><a name="l01224"></a><span class="lineno"> 1224</span>&#160;</div><div class="line"><a name="l01225"></a><span class="lineno"> 1225</span>&#160; <a class="code" href="../../d9/d6f/class_o_n___clipping_region_points.html">ON_ClippingRegionPoints</a>() = <span class="keywordflow">default</span>;</div><div class="line"><a name="l01226"></a><span class="lineno"> 1226</span>&#160; ~<a class="code" href="../../d9/d6f/class_o_n___clipping_region_points.html">ON_ClippingRegionPoints</a>();</div><div class="line"><a name="l01227"></a><span class="lineno"> 1227</span>&#160; <a class="code" href="../../d9/d6f/class_o_n___clipping_region_points.html">ON_ClippingRegionPoints</a>(<span class="keyword">const</span> <a class="code" href="../../d9/d6f/class_o_n___clipping_region_points.html">ON_ClippingRegionPoints</a>&amp; src);</div><div class="line"><a name="l01228"></a><span class="lineno"> 1228</span>&#160; <a class="code" href="../../d9/d6f/class_o_n___clipping_region_points.html">ON_ClippingRegionPoints</a>&amp; operator=(<span class="keyword">const</span> <a class="code" href="../../d9/d6f/class_o_n___clipping_region_points.html">ON_ClippingRegionPoints</a>&amp; src);</div><div class="line"><a name="l01229"></a><span class="lineno"> 1229</span>&#160;</div><div class="line"><a name="l01230"></a><span class="lineno"> 1230</span>&#160;<span class="preprocessor">#if defined(ON_HAS_RVALUEREF)</span></div><div class="line"><a name="l01231"></a><span class="lineno"> 1231</span>&#160; <span class="comment">// rvalue copy constructor</span></div><div class="line"><a name="l01232"></a><span class="lineno"> 1232</span>&#160; <a class="code" href="../../d9/d6f/class_o_n___clipping_region_points.html">ON_ClippingRegionPoints</a>( <a class="code" href="../../d9/d6f/class_o_n___clipping_region_points.html">ON_ClippingRegionPoints</a>&amp;&amp; ) ON_NOEXCEPT;</div><div class="line"><a name="l01233"></a><span class="lineno"> 1233</span>&#160;</div><div class="line"><a name="l01234"></a><span class="lineno"> 1234</span>&#160; <span class="comment">// The rvalue assignment operator calls ON_Object::operator=(ON_Object&amp;&amp;)</span></div><div class="line"><a name="l01235"></a><span class="lineno"> 1235</span>&#160; <span class="comment">// which could throw exceptions. See the implementation of</span></div><div class="line"><a name="l01236"></a><span class="lineno"> 1236</span>&#160; <span class="comment">// ON_Object::operator=(ON_Object&amp;&amp;) for details.</span></div><div class="line"><a name="l01237"></a><span class="lineno"> 1237</span>&#160; <a class="code" href="../../d9/d6f/class_o_n___clipping_region_points.html">ON_ClippingRegionPoints</a>&amp; operator=( <a class="code" href="../../d9/d6f/class_o_n___clipping_region_points.html">ON_ClippingRegionPoints</a>&amp;&amp; );</div><div class="line"><a name="l01238"></a><span class="lineno"> 1238</span>&#160;<span class="preprocessor">#endif</span></div><div class="line"><a name="l01239"></a><span class="lineno"> 1239</span>&#160;</div><div class="line"><a name="l01240"></a><span class="lineno"> 1240</span>&#160; <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> PointCapacity() <span class="keyword">const</span>;</div><div class="line"><a name="l01241"></a><span class="lineno"> 1241</span>&#160;</div><div class="line"><a name="l01242"></a><span class="lineno"> 1242</span>&#160; <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> PointCout() <span class="keyword">const</span>;</div><div class="line"><a name="l01243"></a><span class="lineno"> 1243</span>&#160;</div><div class="line"><a name="l01244"></a><span class="lineno"> 1244</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01245"></a><span class="lineno"> 1245</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l01246"></a><span class="lineno"> 1246</span>&#160;<span class="comment"> Sets point count and aggragate flags falues to zero but does not </span></div><div class="line"><a name="l01247"></a><span class="lineno"> 1247</span>&#160;<span class="comment"> deallocate the memory buffer. When an ON_ClippingRegionPoints will be used</span></div><div class="line"><a name="l01248"></a><span class="lineno"> 1248</span>&#160;<span class="comment"> multiple times, it is more efficient to call Clear() between</span></div><div class="line"><a name="l01249"></a><span class="lineno"> 1249</span>&#160;<span class="comment"> uses than calling Destroy().</span></div><div class="line"><a name="l01250"></a><span class="lineno"> 1250</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01251"></a><span class="lineno"> 1251</span>&#160; <span class="keywordtype">void</span> Clear();</div><div class="line"><a name="l01252"></a><span class="lineno"> 1252</span>&#160;</div><div class="line"><a name="l01253"></a><span class="lineno"> 1253</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01254"></a><span class="lineno"> 1254</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l01255"></a><span class="lineno"> 1255</span>&#160;<span class="comment"> Clear() and deallocate the memory buffer.</span></div><div class="line"><a name="l01256"></a><span class="lineno"> 1256</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01257"></a><span class="lineno"> 1257</span>&#160; <span class="keywordtype">void</span> Destroy();</div><div class="line"><a name="l01258"></a><span class="lineno"> 1258</span>&#160;</div><div class="line"><a name="l01259"></a><span class="lineno"> 1259</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01260"></a><span class="lineno"> 1260</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l01261"></a><span class="lineno"> 1261</span>&#160;<span class="comment"> Clip point location.</span></div><div class="line"><a name="l01262"></a><span class="lineno"> 1262</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01263"></a><span class="lineno"> 1263</span>&#160; <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> ClipPoint(</div><div class="line"><a name="l01264"></a><span class="lineno"> 1264</span>&#160; <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> point_index</div><div class="line"><a name="l01265"></a><span class="lineno"> 1265</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l01266"></a><span class="lineno"> 1266</span>&#160;</div><div class="line"><a name="l01267"></a><span class="lineno"> 1267</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01268"></a><span class="lineno"> 1268</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l01269"></a><span class="lineno"> 1269</span>&#160;<span class="comment"> Clip flag</span></div><div class="line"><a name="l01270"></a><span class="lineno"> 1270</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01271"></a><span class="lineno"> 1271</span>&#160; <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> ClipFlag(</div><div class="line"><a name="l01272"></a><span class="lineno"> 1272</span>&#160; <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> point_index</div><div class="line"><a name="l01273"></a><span class="lineno"> 1273</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l01274"></a><span class="lineno"> 1274</span>&#160;</div><div class="line"><a name="l01275"></a><span class="lineno"> 1275</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01276"></a><span class="lineno"> 1276</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l01277"></a><span class="lineno"> 1277</span>&#160;<span class="comment"> Append the clipping point and clipping flag calculated by</span></div><div class="line"><a name="l01278"></a><span class="lineno"> 1278</span>&#160;<span class="comment"> clipping_region.TransformPoint(world_point,...).</span></div><div class="line"><a name="l01279"></a><span class="lineno"> 1279</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01280"></a><span class="lineno"> 1280</span>&#160; <span class="keywordtype">bool</span> AppendClipPoint(</div><div class="line"><a name="l01281"></a><span class="lineno"> 1281</span>&#160; <span class="keyword">const</span> <span class="keyword">class</span> <a class="code" href="../../da/db3/class_o_n___clipping_region.html">ON_ClippingRegion</a>&amp; clipping_region,</div><div class="line"><a name="l01282"></a><span class="lineno"> 1282</span>&#160; <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> world_point</div><div class="line"><a name="l01283"></a><span class="lineno"> 1283</span>&#160; );</div><div class="line"><a name="l01284"></a><span class="lineno"> 1284</span>&#160;</div><div class="line"><a name="l01285"></a><span class="lineno"> 1285</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01286"></a><span class="lineno"> 1286</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l01287"></a><span class="lineno"> 1287</span>&#160;<span class="comment"> Append the clipping points and clipping flags calculated by</span></div><div class="line"><a name="l01288"></a><span class="lineno"> 1288</span>&#160;<span class="comment"> clipping_region.TransformPoint(world_point,...) for every input</span></div><div class="line"><a name="l01289"></a><span class="lineno"> 1289</span>&#160;<span class="comment"> world point.</span></div><div class="line"><a name="l01290"></a><span class="lineno"> 1290</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01291"></a><span class="lineno"> 1291</span>&#160; <span class="keywordtype">bool</span> AppendClipPoints(</div><div class="line"><a name="l01292"></a><span class="lineno"> 1292</span>&#160; <span class="keyword">const</span> <span class="keyword">class</span> <a class="code" href="../../da/db3/class_o_n___clipping_region.html">ON_ClippingRegion</a>&amp; clipping_region,</div><div class="line"><a name="l01293"></a><span class="lineno"> 1293</span>&#160; <span class="keyword">const</span> <a class="code" href="../../dc/dfe/class_o_n___simple_array.html">ON_SimpleArray&lt;ON_3dPoint&gt;</a>&amp; world_points</div><div class="line"><a name="l01294"></a><span class="lineno"> 1294</span>&#160; );</div><div class="line"><a name="l01295"></a><span class="lineno"> 1295</span>&#160;</div><div class="line"><a name="l01296"></a><span class="lineno"> 1296</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01297"></a><span class="lineno"> 1297</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l01298"></a><span class="lineno"> 1298</span>&#160;<span class="comment"> Append the clipping points and clipping flags calculated by</span></div><div class="line"><a name="l01299"></a><span class="lineno"> 1299</span>&#160;<span class="comment"> clipping_region.TransformPoint(world_point,...) for every input</span></div><div class="line"><a name="l01300"></a><span class="lineno"> 1300</span>&#160;<span class="comment"> world point.</span></div><div class="line"><a name="l01301"></a><span class="lineno"> 1301</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01302"></a><span class="lineno"> 1302</span>&#160; <span class="keywordtype">bool</span> AppendClipPoints(</div><div class="line"><a name="l01303"></a><span class="lineno"> 1303</span>&#160; <span class="keyword">const</span> <span class="keyword">class</span> <a class="code" href="../../da/db3/class_o_n___clipping_region.html">ON_ClippingRegion</a>&amp; clipping_region,</div><div class="line"><a name="l01304"></a><span class="lineno"> 1304</span>&#160; <span class="keywordtype">size_t</span> world_point_count,</div><div class="line"><a name="l01305"></a><span class="lineno"> 1305</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>* world_points</div><div class="line"><a name="l01306"></a><span class="lineno"> 1306</span>&#160; );</div><div class="line"><a name="l01307"></a><span class="lineno"><a class="line" href="../../d9/d6f/class_o_n___clipping_region_points.html#a8143d5d6da7c866c31cdb7016cac484c"> 1307</a></span>&#160;</div><div class="line"><a name="l01308"></a><span class="lineno"><a class="line" href="../../d9/d6f/class_o_n___clipping_region_points.html#ad9dfd9fd6c9fd5d8807a32e9c6621087"> 1308</a></span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01309"></a><span class="lineno"><a class="line" href="../../d9/d6f/class_o_n___clipping_region_points.html#af1713a5830119f9e1e0202e1735d9460"> 1309</a></span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l01310"></a><span class="lineno"><a class="line" href="../../d9/d6f/class_o_n___clipping_region_points.html#a1f2d8bb9e2a72fc9807971cf12675bbc"> 1310</a></span>&#160;<span class="comment"> Append the clipping points and clipping flags calculated by</span></div><div class="line"><a name="l01311"></a><span class="lineno"> 1311</span>&#160;<span class="comment"> clipping_region.TransformPoint(world_point,...) for every input</span></div><div class="line"><a name="l01312"></a><span class="lineno"><a class="line" href="../../d9/d6f/class_o_n___clipping_region_points.html#a71f94ac5cc581d07714bcdc0350db0cd"> 1312</a></span>&#160;<span class="comment"> world point.</span></div><div class="line"><a name="l01313"></a><span class="lineno"><a class="line" href="../../d9/d6f/class_o_n___clipping_region_points.html#af685ecfe822e1cb9600eebaebca8f218"> 1313</a></span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01314"></a><span class="lineno"> 1314</span>&#160; <span class="keywordtype">bool</span> AppendClipPoints(</div><div class="line"><a name="l01315"></a><span class="lineno"> 1315</span>&#160; <span class="keyword">const</span> <span class="keyword">class</span> <a class="code" href="../../da/db3/class_o_n___clipping_region.html">ON_ClippingRegion</a>&amp; clipping_region,</div><div class="line"><a name="l01316"></a><span class="lineno"> 1316</span>&#160; <span class="keywordtype">size_t</span> world_point_count,</div><div class="line"><a name="l01317"></a><span class="lineno"> 1317</span>&#160; <span class="keywordtype">size_t</span> world_point_stride,</div><div class="line"><a name="l01318"></a><span class="lineno"> 1318</span>&#160; <span class="keyword">const</span> <span class="keywordtype">double</span>* world_points</div><div class="line"><a name="l01319"></a><span class="lineno"> 1319</span>&#160; );</div><div class="line"><a name="l01320"></a><span class="lineno"><a class="line" href="../../d0/d09/class_o_n___pick_point.html"> 1320</a></span>&#160;</div><div class="line"><a name="l01321"></a><span class="lineno"> 1321</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01322"></a><span class="lineno"> 1322</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l01323"></a><span class="lineno"><a class="line" href="../../d0/d09/class_o_n___pick_point.html#a78381d6a7e2329d6d165a4e63b6a2165"> 1323</a></span>&#160;<span class="comment"> Append the clipping point and clipping flag value.</span></div><div class="line"><a name="l01324"></a><span class="lineno"> 1324</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01325"></a><span class="lineno"> 1325</span>&#160; <span class="keywordtype">bool</span> AppendClipPoint(</div><div class="line"><a name="l01326"></a><span class="lineno"> 1326</span>&#160; <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> clip_point,</div><div class="line"><a name="l01327"></a><span class="lineno"> 1327</span>&#160; <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> clip_flag</div><div class="line"><a name="l01328"></a><span class="lineno"> 1328</span>&#160; );</div><div class="line"><a name="l01329"></a><span class="lineno"> 1329</span>&#160; </div><div class="line"><a name="l01330"></a><span class="lineno"> 1330</span>&#160;<span class="keyword">public</span>:</div><div class="line"><a name="l01331"></a><span class="lineno"> 1331</span>&#160; <span class="comment">// These functions and data members are public so they can be used</span></div><div class="line"><a name="l01332"></a><span class="lineno"> 1332</span>&#160; <span class="comment">// by experts to reference information that is managed by other entities.</span></div><div class="line"><a name="l01333"></a><span class="lineno"> 1333</span>&#160; <span class="comment">// If you access or modify them, you are responsible for making </span></div><div class="line"><a name="l01334"></a><span class="lineno"> 1334</span>&#160; <span class="comment">// sure you do it correctly. All the interface functions above</span></div><div class="line"><a name="l01335"></a><span class="lineno"> 1335</span>&#160; <span class="comment">// assume the values below are correctly set.</span></div><div class="line"><a name="l01336"></a><span class="lineno"> 1336</span>&#160;</div><div class="line"><a name="l01337"></a><span class="lineno"> 1337</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01338"></a><span class="lineno"> 1338</span>&#160;<span class="comment"> Reserve buffer capacity.</span></div><div class="line"><a name="l01339"></a><span class="lineno"> 1339</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01340"></a><span class="lineno"> 1340</span>&#160; <span class="keywordtype">bool</span> ReserveBufferPointCapacity(</div><div class="line"><a name="l01341"></a><span class="lineno"> 1341</span>&#160; <span class="keywordtype">size_t</span> buffer_point_capacity</div><div class="line"><a name="l01342"></a><span class="lineno"> 1342</span>&#160; );</div><div class="line"><a name="l01343"></a><span class="lineno"> 1343</span>&#160;</div><div class="line"><a name="l01344"></a><span class="lineno"> 1344</span>&#160; <span class="comment">// All the information below is automatically managed if you use </span></div><div class="line"><a name="l01345"></a><span class="lineno"> 1345</span>&#160; <span class="comment">// the AppendClipPoint() or AppendClipPoints() functions to add </span></div><div class="line"><a name="l01346"></a><span class="lineno"> 1346</span>&#160; <span class="comment">// clipping points.</span></div><div class="line"><a name="l01347"></a><span class="lineno"> 1347</span>&#160; <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> m_point_count = 0;</div><div class="line"><a name="l01348"></a><span class="lineno"> 1348</span>&#160; <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> m_point_capacity = 0;</div><div class="line"><a name="l01349"></a><span class="lineno"> 1349</span>&#160; <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>* m_clip_points = <span class="keyword">nullptr</span>;</div><div class="line"><a name="l01350"></a><span class="lineno"><a class="line" href="../../d0/d09/class_o_n___pick_point.html#ac48a0f3abc0b592e3c0182ea88e37498"> 1350</a></span>&#160; <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span>* m_clip_flags = <span class="keyword">nullptr</span>;</div><div class="line"><a name="l01351"></a><span class="lineno"><a class="line" href="../../d0/d09/class_o_n___pick_point.html#a99bf2cc6f3d00f5b792568f8c0365b50"> 1351</a></span>&#160;</div><div class="line"><a name="l01352"></a><span class="lineno"><a class="line" href="../../d0/d09/class_o_n___pick_point.html#aac89f705f91dde13e44f6ca1c7643599"> 1352</a></span>&#160; <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> m_and_clip_flags = 0;</div><div class="line"><a name="l01353"></a><span class="lineno"><a class="line" href="../../d0/d09/class_o_n___pick_point.html#a8f916d3d933b15679edf6eb133d27116"> 1353</a></span>&#160; <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> m_or_clip_flags = 0;</div><div class="line"><a name="l01354"></a><span class="lineno"> 1354</span>&#160;</div><div class="line"><a name="l01355"></a><span class="lineno"> 1355</span>&#160;<span class="keyword">private</span>:</div><div class="line"><a name="l01356"></a><span class="lineno"><a class="line" href="../../d6/dc1/class_o_n___localizer.html"> 1356</a></span>&#160; <span class="keywordtype">size_t</span> m_buffer_point_capacity = 0;</div><div class="line"><a name="l01357"></a><span class="lineno"> 1357</span>&#160; <span class="keywordtype">void</span>* m_buffer = <span class="keyword">nullptr</span>;</div><div class="line"><a name="l01358"></a><span class="lineno"> 1358</span>&#160;};</div><div class="line"><a name="l01359"></a><span class="lineno"> 1359</span>&#160;</div><div class="line"><a name="l01360"></a><span class="lineno"> 1360</span>&#160;<span class="keyword">class </span>ON_CLASS <a class="code" href="../../d0/d09/class_o_n___pick_point.html">ON_PickPoint</a></div><div class="line"><a name="l01361"></a><span class="lineno"> 1361</span>&#160;{</div><div class="line"><a name="l01362"></a><span class="lineno"> 1362</span>&#160;<span class="keyword">public</span>:</div><div class="line"><a name="l01363"></a><span class="lineno"> 1363</span>&#160; <span class="keyword">static</span> <span class="keyword">const</span> <a class="code" href="../../d0/d09/class_o_n___pick_point.html">ON_PickPoint</a> Unset;</div><div class="line"><a name="l01364"></a><span class="lineno"> 1364</span>&#160;</div><div class="line"><a name="l01365"></a><span class="lineno"> 1365</span>&#160; <a class="code" href="../../d0/d09/class_o_n___pick_point.html">ON_PickPoint</a>() = <span class="keywordflow">default</span>;</div><div class="line"><a name="l01366"></a><span class="lineno"> 1366</span>&#160; ~<a class="code" href="../../d0/d09/class_o_n___pick_point.html">ON_PickPoint</a>() = <span class="keywordflow">default</span>;</div><div class="line"><a name="l01367"></a><span class="lineno"> 1367</span>&#160; <a class="code" href="../../d0/d09/class_o_n___pick_point.html">ON_PickPoint</a>(<span class="keyword">const</span> <a class="code" href="../../d0/d09/class_o_n___pick_point.html">ON_PickPoint</a>&amp;)= <span class="keywordflow">default</span>;</div><div class="line"><a name="l01368"></a><span class="lineno"> 1368</span>&#160; <a class="code" href="../../d0/d09/class_o_n___pick_point.html">ON_PickPoint</a>&amp; operator=(<span class="keyword">const</span> <a class="code" href="../../d0/d09/class_o_n___pick_point.html">ON_PickPoint</a>&amp;) = <span class="keywordflow">default</span>;</div><div class="line"><a name="l01369"></a><span class="lineno"> 1369</span>&#160;</div><div class="line"><a name="l01370"></a><span class="lineno"> 1370</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01371"></a><span class="lineno"> 1371</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l01372"></a><span class="lineno"> 1372</span>&#160;<span class="comment"> +1: a is a better pick pont than b.</span></div><div class="line"><a name="l01373"></a><span class="lineno"> 1373</span>&#160;<span class="comment"> -1: b is a better pick point than a.</span></div><div class="line"><a name="l01374"></a><span class="lineno"> 1374</span>&#160;<span class="comment"> 0: a and b are the same.</span></div><div class="line"><a name="l01375"></a><span class="lineno"> 1375</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01376"></a><span class="lineno"> 1376</span>&#160; <span class="keyword">static</span> <span class="keywordtype">int</span> Compare( </div><div class="line"><a name="l01377"></a><span class="lineno"> 1377</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d0/d09/class_o_n___pick_point.html">ON_PickPoint</a>&amp; a,</div><div class="line"><a name="l01378"></a><span class="lineno"> 1378</span>&#160; <span class="keyword">const</span> <a class="code" href="../../d0/d09/class_o_n___pick_point.html">ON_PickPoint</a>&amp; b</div><div class="line"><a name="l01379"></a><span class="lineno"> 1379</span>&#160; );</div><div class="line"><a name="l01380"></a><span class="lineno"> 1380</span>&#160;</div><div class="line"><a name="l01381"></a><span class="lineno"> 1381</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01382"></a><span class="lineno"> 1382</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l01383"></a><span class="lineno"> 1383</span>&#160;<span class="comment"> True if this is set.</span></div><div class="line"><a name="l01384"></a><span class="lineno"> 1384</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01385"></a><span class="lineno"> 1385</span>&#160; <span class="keywordtype">bool</span> IsSet() <span class="keyword">const</span>;</div><div class="line"><a name="l01386"></a><span class="lineno"> 1386</span>&#160;</div><div class="line"><a name="l01387"></a><span class="lineno"> 1387</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01388"></a><span class="lineno"> 1388</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l01389"></a><span class="lineno"> 1389</span>&#160;<span class="comment"> True if this is not set.</span></div><div class="line"><a name="l01390"></a><span class="lineno"> 1390</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01391"></a><span class="lineno"> 1391</span>&#160; <span class="keywordtype">bool</span> IsNotSet() <span class="keyword">const</span>;</div><div class="line"><a name="l01392"></a><span class="lineno"> 1392</span>&#160;</div><div class="line"><a name="l01393"></a><span class="lineno"> 1393</span>&#160; <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> m_point = <a class="code" href="../../d2/d35/class_o_n__3d_point.html#aa68906e3e7650b01ce88c527f6088d7d">ON_3dPoint::UnsetPoint</a>;</div><div class="line"><a name="l01394"></a><span class="lineno"> 1394</span>&#160; <span class="keywordtype">double</span> m_t[4]; <span class="comment">// parameters (unused values are set to ON_UNSET_VALUE)</span></div><div class="line"><a name="l01395"></a><span class="lineno"> 1395</span>&#160; <span class="keywordtype">double</span> m_depth = ON_UNSET_VALUE; <span class="comment">// larger values are in front of smaller values.</span></div><div class="line"><a name="l01396"></a><span class="lineno"> 1396</span>&#160; <span class="keywordtype">double</span> m_distance = 1.0e300; <span class="comment">// smaller values are closer to pick ray.</span></div><div class="line"><a name="l01397"></a><span class="lineno"> 1397</span>&#160;};</div><div class="line"><a name="l01398"></a><span class="lineno"> 1398</span>&#160;</div><div class="line"><a name="l01399"></a><span class="lineno"> 1399</span>&#160;<span class="keyword">class </span>ON_CLASS ON_Localizer</div><div class="line"><a name="l01400"></a><span class="lineno"> 1400</span>&#160;{</div><div class="line"><a name="l01401"></a><span class="lineno"> 1401</span>&#160;<span class="keyword">public</span>:</div><div class="line"><a name="l01402"></a><span class="lineno"> 1402</span>&#160; ON_Localizer();</div><div class="line"><a name="l01403"></a><span class="lineno"> 1403</span>&#160; ~ON_Localizer();</div><div class="line"><a name="l01404"></a><span class="lineno"> 1404</span>&#160;</div><div class="line"><a name="l01405"></a><span class="lineno"> 1405</span>&#160; ON_Localizer(<span class="keyword">const</span> ON_Localizer&amp;);</div><div class="line"><a name="l01406"></a><span class="lineno"> 1406</span>&#160; ON_Localizer&amp; operator=(<span class="keyword">const</span> ON_Localizer&amp;);</div><div class="line"><a name="l01407"></a><span class="lineno"> 1407</span>&#160;</div><div class="line"><a name="l01408"></a><span class="lineno"> 1408</span>&#160; <span class="keywordtype">void</span> Destroy();</div><div class="line"><a name="l01409"></a><span class="lineno"> 1409</span>&#160; <span class="keywordtype">bool</span> Read(<a class="code" href="../../db/d16/class_o_n___binary_archive.html">ON_BinaryArchive</a>&amp;);</div><div class="line"><a name="l01410"></a><span class="lineno"> 1410</span>&#160; <span class="keywordtype">bool</span> Write(<a class="code" href="../../db/d16/class_o_n___binary_archive.html">ON_BinaryArchive</a>&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l01411"></a><span class="lineno"> 1411</span>&#160;</div><div class="line"><a name="l01412"></a><span class="lineno"> 1412</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01413"></a><span class="lineno"> 1413</span>&#160;<span class="comment"> Descrption:</span></div><div class="line"><a name="l01414"></a><span class="lineno"> 1414</span>&#160;<span class="comment"> Creates a cylindrical localizer.</span></div><div class="line"><a name="l01415"></a><span class="lineno"> 1415</span>&#160;<span class="comment"> If d = distance from the point to the line, </span></div><div class="line"><a name="l01416"></a><span class="lineno"> 1416</span>&#160;<span class="comment"> then the localizer has the following behavior:</span></div><div class="line"><a name="l01417"></a><span class="lineno"> 1417</span>&#160;<span class="comment"></span></div><div class="line"><a name="l01418"></a><span class="lineno"> 1418</span>&#160;<span class="comment"> point distance localizer value</span></div><div class="line"><a name="l01419"></a><span class="lineno"> 1419</span>&#160;<span class="comment"> d &lt;= r0 &lt; r1 or d &gt;= r0 &gt; r1 0</span></div><div class="line"><a name="l01420"></a><span class="lineno"> 1420</span>&#160;<span class="comment"> d &gt;= r1 &gt; r0 or d &lt;= r1 &lt; r0 1</span></div><div class="line"><a name="l01421"></a><span class="lineno"> 1421</span>&#160;<span class="comment"></span></div><div class="line"><a name="l01422"></a><span class="lineno"> 1422</span>&#160;<span class="comment"> For values of d between r0 and r1, the localizer</span></div><div class="line"><a name="l01423"></a><span class="lineno"> 1423</span>&#160;<span class="comment"> smoothly transitions between 0 to 1.</span></div><div class="line"><a name="l01424"></a><span class="lineno"> 1424</span>&#160;<span class="comment"></span></div><div class="line"><a name="l01425"></a><span class="lineno"> 1425</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l01426"></a><span class="lineno"> 1426</span>&#160;<span class="comment"> P - [in] cylinder axis point</span></div><div class="line"><a name="l01427"></a><span class="lineno"> 1427</span>&#160;<span class="comment"> D - [in] cylinder axis direction</span></div><div class="line"><a name="l01428"></a><span class="lineno"> 1428</span>&#160;<span class="comment"> r0 - [in]</span></div><div class="line"><a name="l01429"></a><span class="lineno"> 1429</span>&#160;<span class="comment"> r1 - [in]</span></div><div class="line"><a name="l01430"></a><span class="lineno"> 1430</span>&#160;<span class="comment"> r0 and r1 are radii that control where the localizer is nonzero. </span></div><div class="line"><a name="l01431"></a><span class="lineno"> 1431</span>&#160;<span class="comment"> Both r0 and r1 must be postive and the cannot be equal. </span></div><div class="line"><a name="l01432"></a><span class="lineno"> 1432</span>&#160;<span class="comment"> If 0 &lt; r0 &lt; r1, then the localizer is zero for points </span></div><div class="line"><a name="l01433"></a><span class="lineno"> 1433</span>&#160;<span class="comment"> inside the cylinder of radius r0 and one for points outside</span></div><div class="line"><a name="l01434"></a><span class="lineno"> 1434</span>&#160;<span class="comment"> the cylinder of radius r1.</span></div><div class="line"><a name="l01435"></a><span class="lineno"> 1435</span>&#160;<span class="comment"> If 0 &lt; r1 &lt; r0, then the localizer is one for points </span></div><div class="line"><a name="l01436"></a><span class="lineno"> 1436</span>&#160;<span class="comment"> inside the cylinder of radius r1 and zero for points outside</span></div><div class="line"><a name="l01437"></a><span class="lineno"> 1437</span>&#160;<span class="comment"> the cylinder of radius r0. </span></div><div class="line"><a name="l01438"></a><span class="lineno"> 1438</span>&#160;<span class="comment"></span></div><div class="line"><a name="l01439"></a><span class="lineno"> 1439</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l01440"></a><span class="lineno"> 1440</span>&#160;<span class="comment"> True if the input is value and the localizer is initialized.</span></div><div class="line"><a name="l01441"></a><span class="lineno"> 1441</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01442"></a><span class="lineno"> 1442</span>&#160; <span class="keywordtype">bool</span> CreateCylinderLocalizer( <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> P, <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> D, <span class="keywordtype">double</span> r0, <span class="keywordtype">double</span> r1 );</div><div class="line"><a name="l01443"></a><span class="lineno"> 1443</span>&#160;</div><div class="line"><a name="l01444"></a><span class="lineno"> 1444</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01445"></a><span class="lineno"> 1445</span>&#160;<span class="comment"> Descrption:</span></div><div class="line"><a name="l01446"></a><span class="lineno"> 1446</span>&#160;<span class="comment"> Creates a planar localizer.</span></div><div class="line"><a name="l01447"></a><span class="lineno"> 1447</span>&#160;<span class="comment"> If d = signed distance from the point to the plane,</span></div><div class="line"><a name="l01448"></a><span class="lineno"> 1448</span>&#160;<span class="comment"> then the localizer has the following behavior:</span></div><div class="line"><a name="l01449"></a><span class="lineno"> 1449</span>&#160;<span class="comment"></span></div><div class="line"><a name="l01450"></a><span class="lineno"> 1450</span>&#160;<span class="comment"> point distance localizer value</span></div><div class="line"><a name="l01451"></a><span class="lineno"> 1451</span>&#160;<span class="comment"> d &lt;= h0 &lt; h1 or d &gt;= h0 &gt; h1 0</span></div><div class="line"><a name="l01452"></a><span class="lineno"> 1452</span>&#160;<span class="comment"> d &gt;= h1 &gt; h0 or d &lt;= h1 &lt; h0 1</span></div><div class="line"><a name="l01453"></a><span class="lineno"> 1453</span>&#160;<span class="comment"></span></div><div class="line"><a name="l01454"></a><span class="lineno"> 1454</span>&#160;<span class="comment"> For values of d between h0 and h1, the localizer</span></div><div class="line"><a name="l01455"></a><span class="lineno"> 1455</span>&#160;<span class="comment"> smoothly transitions between 0 to 1.</span></div><div class="line"><a name="l01456"></a><span class="lineno"> 1456</span>&#160;<span class="comment"></span></div><div class="line"><a name="l01457"></a><span class="lineno"> 1457</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l01458"></a><span class="lineno"> 1458</span>&#160;<span class="comment"> P - [in] point on plane</span></div><div class="line"><a name="l01459"></a><span class="lineno"> 1459</span>&#160;<span class="comment"> N - [in] normal to plane</span></div><div class="line"><a name="l01460"></a><span class="lineno"> 1460</span>&#160;<span class="comment"> h0 - [in]</span></div><div class="line"><a name="l01461"></a><span class="lineno"> 1461</span>&#160;<span class="comment"> h1 - [in]</span></div><div class="line"><a name="l01462"></a><span class="lineno"> 1462</span>&#160;<span class="comment"> h0 and h1 are signed distances that control where the </span></div><div class="line"><a name="l01463"></a><span class="lineno"> 1463</span>&#160;<span class="comment"> localizer is nonzero.</span></div><div class="line"><a name="l01464"></a><span class="lineno"> 1464</span>&#160;<span class="comment"></span></div><div class="line"><a name="l01465"></a><span class="lineno"> 1465</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l01466"></a><span class="lineno"> 1466</span>&#160;<span class="comment"> True if the input is value and the localizer is initialized.</span></div><div class="line"><a name="l01467"></a><span class="lineno"> 1467</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01468"></a><span class="lineno"> 1468</span>&#160; <span class="keywordtype">bool</span> CreatePlaneLocalizer( <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> P, <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> N, <span class="keywordtype">double</span> h0, <span class="keywordtype">double</span> h1 );</div><div class="line"><a name="l01469"></a><span class="lineno"> 1469</span>&#160;</div><div class="line"><a name="l01470"></a><span class="lineno"> 1470</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01471"></a><span class="lineno"> 1471</span>&#160;<span class="comment"> Descrption:</span></div><div class="line"><a name="l01472"></a><span class="lineno"> 1472</span>&#160;<span class="comment"> Creates a spherical localizer.</span></div><div class="line"><a name="l01473"></a><span class="lineno"> 1473</span>&#160;<span class="comment"> If d = distance from the point to the center of the sphere, </span></div><div class="line"><a name="l01474"></a><span class="lineno"> 1474</span>&#160;<span class="comment"> then the localizer has the following behavior:</span></div><div class="line"><a name="l01475"></a><span class="lineno"> 1475</span>&#160;<span class="comment"></span></div><div class="line"><a name="l01476"></a><span class="lineno"> 1476</span>&#160;<span class="comment"> point distance localizer value</span></div><div class="line"><a name="l01477"></a><span class="lineno"> 1477</span>&#160;<span class="comment"> d &lt;= r0 &lt; r1 or d &gt;= r0 &gt; r1 0</span></div><div class="line"><a name="l01478"></a><span class="lineno"> 1478</span>&#160;<span class="comment"> d &gt;= r1 &gt; r0 or d &lt;= r1 &lt; r0 1</span></div><div class="line"><a name="l01479"></a><span class="lineno"> 1479</span>&#160;<span class="comment"></span></div><div class="line"><a name="l01480"></a><span class="lineno"><a class="line" href="../../d6/dc1/class_o_n___localizer.html#a034a33c1165f7327c91378178c8dfb3c"> 1480</a></span>&#160;<span class="comment"> For values of d between r0 and r1, the localizer</span></div><div class="line"><a name="l01481"></a><span class="lineno"> 1481</span>&#160;<span class="comment"> smoothly transitions between 0 to 1.</span></div><div class="line"><a name="l01482"></a><span class="lineno"><a class="line" href="../../d6/dc1/class_o_n___localizer.html#a034a33c1165f7327c91378178c8dfb3cae8fe42e909805ba0ad731ec158adce80"> 1482</a></span>&#160;<span class="comment"></span></div><div class="line"><a name="l01483"></a><span class="lineno"><a class="line" href="../../d6/dc1/class_o_n___localizer.html#a034a33c1165f7327c91378178c8dfb3ca4efe2a8a861e74cb0bceffb13045bde6"> 1483</a></span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l01484"></a><span class="lineno"><a class="line" href="../../d6/dc1/class_o_n___localizer.html#a034a33c1165f7327c91378178c8dfb3cae6660c4d924954eb2a3bc0ffcb3255e5"> 1484</a></span>&#160;<span class="comment"> P - [in] center of sphere</span></div><div class="line"><a name="l01485"></a><span class="lineno"><a class="line" href="../../d6/dc1/class_o_n___localizer.html#a034a33c1165f7327c91378178c8dfb3ca5a307a1d568a54f425f7cf6c911387f6"> 1485</a></span>&#160;<span class="comment"> r0 - [in]</span></div><div class="line"><a name="l01486"></a><span class="lineno"><a class="line" href="../../d6/dc1/class_o_n___localizer.html#a034a33c1165f7327c91378178c8dfb3ca207471377b33b89d75aa5d785592d00b"> 1486</a></span>&#160;<span class="comment"> r1 - [in]</span></div><div class="line"><a name="l01487"></a><span class="lineno"><a class="line" href="../../d6/dc1/class_o_n___localizer.html#a034a33c1165f7327c91378178c8dfb3ca8352be20306fde1d3029cb0c27cb364d"> 1487</a></span>&#160;<span class="comment"> r0 and r1 are radii that control where the localizer is nonzero. </span></div><div class="line"><a name="l01488"></a><span class="lineno"><a class="line" href="../../d6/dc1/class_o_n___localizer.html#a034a33c1165f7327c91378178c8dfb3ca1a8a5f347e1e1dc33881fc956ced3d91"> 1488</a></span>&#160;<span class="comment"> Both r0 and r1 must be postive and the cannot be equal. </span></div><div class="line"><a name="l01489"></a><span class="lineno"><a class="line" href="../../d6/dc1/class_o_n___localizer.html#a034a33c1165f7327c91378178c8dfb3caf5e272f6c10c0a60ffdf125393461c30"> 1489</a></span>&#160;<span class="comment"> If 0 &lt; r0 &lt; r1, then the localizer is zero for points </span></div><div class="line"><a name="l01490"></a><span class="lineno"> 1490</span>&#160;<span class="comment"> inside the cylinder of radius r0 and one for points outside</span></div><div class="line"><a name="l01491"></a><span class="lineno"> 1491</span>&#160;<span class="comment"> the cylinder of radius r1.</span></div><div class="line"><a name="l01492"></a><span class="lineno"><a class="line" href="../../d6/dc1/class_o_n___localizer.html#a43656ec9d94af25256495a8fa0f9a936"> 1492</a></span>&#160;<span class="comment"> If 0 &lt; r1 &lt; r0, then the localizer is one for points </span></div><div class="line"><a name="l01493"></a><span class="lineno"> 1493</span>&#160;<span class="comment"> inside the cylinder of radius r1 and zero for points outside</span></div><div class="line"><a name="l01494"></a><span class="lineno"><a class="line" href="../../d6/dc1/class_o_n___localizer.html#a7f0caf79bcb9821868d3342139c757a1"> 1494</a></span>&#160;<span class="comment"> the cylinder of radius r0. </span></div><div class="line"><a name="l01495"></a><span class="lineno"><a class="line" href="../../d6/dc1/class_o_n___localizer.html#a3ef3b7f0ac46cb6457c53583f5704c95"> 1495</a></span>&#160;<span class="comment"></span></div><div class="line"><a name="l01496"></a><span class="lineno"><a class="line" href="../../d6/dc1/class_o_n___localizer.html#aa5d51bfb6d0131a7653c9d1b28663165"> 1496</a></span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l01497"></a><span class="lineno"><a class="line" href="../../d6/dc1/class_o_n___localizer.html#a33d9e4058ad10ae8a985d64529b0e4e4"> 1497</a></span>&#160;<span class="comment"> True if the input is value and the localizer is initialized.</span></div><div class="line"><a name="l01498"></a><span class="lineno"><a class="line" href="../../d6/dc1/class_o_n___localizer.html#a51235763c821fce8333503d6bc71d380"> 1498</a></span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01499"></a><span class="lineno"> 1499</span>&#160; <span class="keywordtype">bool</span> CreateSphereLocalizer( <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> P, <span class="keywordtype">double</span> r0, <span class="keywordtype">double</span> r1 );</div><div class="line"><a name="l01500"></a><span class="lineno"> 1500</span>&#160;</div><div class="line"><a name="l01501"></a><span class="lineno"> 1501</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01502"></a><span class="lineno"><a class="line" href="../../da/d04/class_o_n___space_morph.html"> 1502</a></span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l01503"></a><span class="lineno"> 1503</span>&#160;<span class="comment"> Evaluators.</span></div><div class="line"><a name="l01504"></a><span class="lineno"> 1504</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l01505"></a><span class="lineno"> 1505</span>&#160;<span class="comment"> P - [in]</span></div><div class="line"><a name="l01506"></a><span class="lineno"> 1506</span>&#160;<span class="comment"> Evaluation point</span></div><div class="line"><a name="l01507"></a><span class="lineno"> 1507</span>&#160;<span class="comment"> distance - [in]</span></div><div class="line"><a name="l01508"></a><span class="lineno"> 1508</span>&#160;<span class="comment"> Evaluation distance</span></div><div class="line"><a name="l01509"></a><span class="lineno"> 1509</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l01510"></a><span class="lineno"> 1510</span>&#160;<span class="comment"> Value of the localizer.</span></div><div class="line"><a name="l01511"></a><span class="lineno"> 1511</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01512"></a><span class="lineno"> 1512</span>&#160; <span class="keywordtype">double</span> Value(<a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> P) <span class="keyword">const</span>;</div><div class="line"><a name="l01513"></a><span class="lineno"> 1513</span>&#160; <span class="keywordtype">double</span> Value(<span class="keywordtype">double</span> distance) <span class="keyword">const</span>;</div><div class="line"><a name="l01514"></a><span class="lineno"> 1514</span>&#160;</div><div class="line"><a name="l01515"></a><span class="lineno"> 1515</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01516"></a><span class="lineno"> 1516</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l01517"></a><span class="lineno"> 1517</span>&#160;<span class="comment"> bbox - [in]</span></div><div class="line"><a name="l01518"></a><span class="lineno"> 1518</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l01519"></a><span class="lineno"> 1519</span>&#160;<span class="comment"> True if localizer is identically zero inside bbox.</span></div><div class="line"><a name="l01520"></a><span class="lineno"> 1520</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01521"></a><span class="lineno"> 1521</span>&#160; <span class="keywordtype">bool</span> IsZero( <span class="keyword">const</span> <a class="code" href="../../d1/d17/class_o_n___bounding_box.html">ON_BoundingBox</a>&amp; bbox ) <span class="keyword">const</span>;</div><div class="line"><a name="l01522"></a><span class="lineno"> 1522</span>&#160;</div><div class="line"><a name="l01523"></a><span class="lineno"> 1523</span>&#160; <span class="keyword">enum</span> TYPE</div><div class="line"><a name="l01524"></a><span class="lineno"> 1524</span>&#160; {</div><div class="line"><a name="l01525"></a><span class="lineno"> 1525</span>&#160; no_type = 0,</div><div class="line"><a name="l01526"></a><span class="lineno"> 1526</span>&#160; sphere_type = 1,</div><div class="line"><a name="l01527"></a><span class="lineno"> 1527</span>&#160; plane_type = 2,</div><div class="line"><a name="l01528"></a><span class="lineno"> 1528</span>&#160; cylinder_type = 3,</div><div class="line"><a name="l01529"></a><span class="lineno"> 1529</span>&#160; curve_type = 4,</div><div class="line"><a name="l01530"></a><span class="lineno"> 1530</span>&#160; surface_type = 5,</div><div class="line"><a name="l01531"></a><span class="lineno"> 1531</span>&#160; distance_type = 6,</div><div class="line"><a name="l01532"></a><span class="lineno"> 1532</span>&#160; force_32bit_localizer_type = 0xFFFFFFFF</div><div class="line"><a name="l01533"></a><span class="lineno"> 1533</span>&#160; };</div><div class="line"><a name="l01534"></a><span class="lineno"> 1534</span>&#160;</div><div class="line"><a name="l01535"></a><span class="lineno"> 1535</span>&#160; TYPE m_type;</div><div class="line"><a name="l01536"></a><span class="lineno"> 1536</span>&#160;</div><div class="line"><a name="l01537"></a><span class="lineno"> 1537</span>&#160; <a class="code" href="../../dc/dc7/class_o_n___interval.html">ON_Interval</a> m_d;</div><div class="line"><a name="l01538"></a><span class="lineno"> 1538</span>&#160; <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> m_P;</div><div class="line"><a name="l01539"></a><span class="lineno"> 1539</span>&#160; <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> m_V;</div><div class="line"><a name="l01540"></a><span class="lineno"> 1540</span>&#160; <span class="keyword">class </span><a class="code" href="../../d3/d6a/class_o_n___nurbs_curve.html">ON_NurbsCurve</a>* m_nurbs_curve;</div><div class="line"><a name="l01541"></a><span class="lineno"> 1541</span>&#160; <span class="keyword">class </span><a class="code" href="../../de/ddc/class_o_n___nurbs_surface.html">ON_NurbsSurface</a>* m_nurbs_surface;</div><div class="line"><a name="l01542"></a><span class="lineno"> 1542</span>&#160;};</div><div class="line"><a name="l01543"></a><span class="lineno"> 1543</span>&#160;</div><div class="line"><a name="l01544"></a><span class="lineno"> 1544</span>&#160;</div><div class="line"><a name="l01545"></a><span class="lineno"> 1545</span>&#160;<span class="keyword">class </span>ON_CLASS <a class="code" href="../../da/d04/class_o_n___space_morph.html">ON_SpaceMorph</a></div><div class="line"><a name="l01546"></a><span class="lineno"> 1546</span>&#160;{</div><div class="line"><a name="l01547"></a><span class="lineno"> 1547</span>&#160;<span class="keyword">public</span>:</div><div class="line"><a name="l01548"></a><span class="lineno"> 1548</span>&#160; <a class="code" href="../../da/d04/class_o_n___space_morph.html">ON_SpaceMorph</a>();</div><div class="line"><a name="l01549"></a><span class="lineno"> 1549</span>&#160; <span class="keyword">virtual</span> ~<a class="code" href="../../da/d04/class_o_n___space_morph.html">ON_SpaceMorph</a>();</div><div class="line"><a name="l01550"></a><span class="lineno"> 1550</span>&#160;</div><div class="line"><a name="l01551"></a><span class="lineno"> 1551</span>&#160;</div><div class="line"><a name="l01552"></a><span class="lineno"> 1552</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01553"></a><span class="lineno"> 1553</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l01554"></a><span class="lineno"> 1554</span>&#160;<span class="comment"> Provides a quick way to determine if a morph function</span></div><div class="line"><a name="l01555"></a><span class="lineno"> 1555</span>&#160;<span class="comment"> is the identity (doesn&#39;t move the points) on a region</span></div><div class="line"><a name="l01556"></a><span class="lineno"> 1556</span>&#160;<span class="comment"> of space.</span></div><div class="line"><a name="l01557"></a><span class="lineno"> 1557</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l01558"></a><span class="lineno"> 1558</span>&#160;<span class="comment"> bbox - [in] region of space to test.</span></div><div class="line"><a name="l01559"></a><span class="lineno"> 1559</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l01560"></a><span class="lineno"> 1560</span>&#160;<span class="comment"> The default always returns false. If you override</span></div><div class="line"><a name="l01561"></a><span class="lineno"> 1561</span>&#160;<span class="comment"> this function, then return true when every point</span></div><div class="line"><a name="l01562"></a><span class="lineno"> 1562</span>&#160;<span class="comment"> in the bounding box is fixed by the morph. </span></div><div class="line"><a name="l01563"></a><span class="lineno"> 1563</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01564"></a><span class="lineno"> 1564</span>&#160; <span class="keyword">virtual</span></div><div class="line"><a name="l01565"></a><span class="lineno"> 1565</span>&#160; <span class="keywordtype">bool</span> IsIdentity( <span class="keyword">const</span> <a class="code" href="../../d1/d17/class_o_n___bounding_box.html">ON_BoundingBox</a>&amp; bbox ) <span class="keyword">const</span>;</div><div class="line"><a name="l01566"></a><span class="lineno"> 1566</span>&#160;</div><div class="line"><a name="l01567"></a><span class="lineno"> 1567</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01568"></a><span class="lineno"> 1568</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l01569"></a><span class="lineno"> 1569</span>&#160;<span class="comment"> A slower way to determine if a morph function</span></div><div class="line"><a name="l01570"></a><span class="lineno"> 1570</span>&#160;<span class="comment"> is the identity (doesn&#39;t move the points) on a set of points, to within a tolerance</span></div><div class="line"><a name="l01571"></a><span class="lineno"> 1571</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l01572"></a><span class="lineno"> 1572</span>&#160;<span class="comment"> Points - [in] Set of points to test.</span></div><div class="line"><a name="l01573"></a><span class="lineno"> 1573</span>&#160;<span class="comment"> tol - [in] Distance tolerance.</span></div><div class="line"><a name="l01574"></a><span class="lineno"> 1574</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l01575"></a><span class="lineno"> 1575</span>&#160;<span class="comment"> True if none of the points move a distance of tol or more under the morph function.</span></div><div class="line"><a name="l01576"></a><span class="lineno"> 1576</span>&#160;<span class="comment"> Uses MorphPoint()</span></div><div class="line"><a name="l01577"></a><span class="lineno"> 1577</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01578"></a><span class="lineno"> 1578</span>&#160; <span class="keywordtype">bool</span> IsIdentity(<span class="keyword">const</span> <a class="code" href="../../dc/dfe/class_o_n___simple_array.html">ON_SimpleArray&lt;ON_3dPoint&gt;</a>&amp; Points, <span class="keywordtype">double</span> tol) <span class="keyword">const</span>;</div><div class="line"><a name="l01579"></a><span class="lineno"> 1579</span>&#160;</div><div class="line"><a name="l01580"></a><span class="lineno"> 1580</span>&#160;</div><div class="line"><a name="l01581"></a><span class="lineno"> 1581</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01582"></a><span class="lineno"> 1582</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l01583"></a><span class="lineno"> 1583</span>&#160;<span class="comment"> A slower way to determine if a morph function</span></div><div class="line"><a name="l01584"></a><span class="lineno"> 1584</span>&#160;<span class="comment"> is the identity (doesn&#39;t move the points) on a surface, to within a tolerance</span></div><div class="line"><a name="l01585"></a><span class="lineno"> 1585</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l01586"></a><span class="lineno"> 1586</span>&#160;<span class="comment"> Srf - [in] Surface to be tested.</span></div><div class="line"><a name="l01587"></a><span class="lineno"> 1587</span>&#160;<span class="comment"> tol - [in] Distance tolerance.</span></div><div class="line"><a name="l01588"></a><span class="lineno"> 1588</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l01589"></a><span class="lineno"> 1589</span>&#160;<span class="comment"> Uses MorphPoint() on a dense sample of points.</span></div><div class="line"><a name="l01590"></a><span class="lineno"> 1590</span>&#160;<span class="comment"> True if none of the points move a distance of tol or more under the morph function.</span></div><div class="line"><a name="l01591"></a><span class="lineno"> 1591</span>&#160;<span class="comment"> Remark:</span></div><div class="line"><a name="l01592"></a><span class="lineno"> 1592</span>&#160;<span class="comment"> Call IsIdentity(Srf.BoundingBox()) first.</span></div><div class="line"><a name="l01593"></a><span class="lineno"> 1593</span>&#160;<span class="comment"> Use this on surfaces whose nurb form is rational or has a different parameterization.</span></div><div class="line"><a name="l01594"></a><span class="lineno"> 1594</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01595"></a><span class="lineno"> 1595</span>&#160; <span class="keywordtype">bool</span> IsIdentity(<span class="keyword">const</span> <span class="keyword">class</span> <a class="code" href="../../da/da0/class_o_n___surface.html">ON_Surface</a>&amp; Srf, <span class="keywordtype">double</span> tol) <span class="keyword">const</span>;</div><div class="line"><a name="l01596"></a><span class="lineno"> 1596</span>&#160;</div><div class="line"><a name="l01597"></a><span class="lineno"> 1597</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01598"></a><span class="lineno"> 1598</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l01599"></a><span class="lineno"> 1599</span>&#160;<span class="comment"> A slower way to determine if a morph function</span></div><div class="line"><a name="l01600"></a><span class="lineno"> 1600</span>&#160;<span class="comment"> is the identity (doesn&#39;t move the points) on a curve, to within a tolerance.</span></div><div class="line"><a name="l01601"></a><span class="lineno"> 1601</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l01602"></a><span class="lineno"> 1602</span>&#160;<span class="comment"> Crv - [in] Curve to be tested.</span></div><div class="line"><a name="l01603"></a><span class="lineno"> 1603</span>&#160;<span class="comment"> tol - [in] Distance tolerance.</span></div><div class="line"><a name="l01604"></a><span class="lineno"> 1604</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l01605"></a><span class="lineno"> 1605</span>&#160;<span class="comment"> Uses MorphPoint() on a dense sample of points.</span></div><div class="line"><a name="l01606"></a><span class="lineno"> 1606</span>&#160;<span class="comment"> True if none of the points move a distance of tol or more under the morph function.</span></div><div class="line"><a name="l01607"></a><span class="lineno"> 1607</span>&#160;<span class="comment"> Remark:</span></div><div class="line"><a name="l01608"></a><span class="lineno"> 1608</span>&#160;<span class="comment"> Call IsIdentity(Crv.BoundingBox()) first.</span></div><div class="line"><a name="l01609"></a><span class="lineno"> 1609</span>&#160;<span class="comment"> Use this on curves whose nurb form is rational or has a different parameterization.</span></div><div class="line"><a name="l01610"></a><span class="lineno"> 1610</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01611"></a><span class="lineno"> 1611</span>&#160; <span class="keywordtype">bool</span> IsIdentity(<span class="keyword">const</span> <span class="keyword">class</span> <a class="code" href="../../d4/d5a/class_o_n___curve.html">ON_Curve</a>&amp; Crv, <span class="keywordtype">double</span> tol) <span class="keyword">const</span>;</div><div class="line"><a name="l01612"></a><span class="lineno"> 1612</span>&#160;</div><div class="line"><a name="l01613"></a><span class="lineno"> 1613</span>&#160;</div><div class="line"><a name="l01614"></a><span class="lineno"> 1614</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01615"></a><span class="lineno"> 1615</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l01616"></a><span class="lineno"> 1616</span>&#160;<span class="comment"> Returns the desired accuracy of the morph.</span></div><div class="line"><a name="l01617"></a><span class="lineno"> 1617</span>&#160;<span class="comment"> This value is primarily used for deforming</span></div><div class="line"><a name="l01618"></a><span class="lineno"> 1618</span>&#160;<span class="comment"> surfaces and breps.</span></div><div class="line"><a name="l01619"></a><span class="lineno"> 1619</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l01620"></a><span class="lineno"> 1620</span>&#160;<span class="comment"> 3d fitting tolerance.</span></div><div class="line"><a name="l01621"></a><span class="lineno"> 1621</span>&#160;<span class="comment"> Remarks:</span></div><div class="line"><a name="l01622"></a><span class="lineno"> 1622</span>&#160;<span class="comment"> The default is 0.0 and any value &lt;= 0.0 is </span></div><div class="line"><a name="l01623"></a><span class="lineno"> 1623</span>&#160;<span class="comment"> ignored by morphing functions.</span></div><div class="line"><a name="l01624"></a><span class="lineno"> 1624</span>&#160;<span class="comment"> The value returned by Tolerance() does not</span></div><div class="line"><a name="l01625"></a><span class="lineno"> 1625</span>&#160;<span class="comment"> affect the way meshes and points are morphed.</span></div><div class="line"><a name="l01626"></a><span class="lineno"> 1626</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01627"></a><span class="lineno"> 1627</span>&#160; <span class="keywordtype">double</span> Tolerance() <span class="keyword">const</span>;</div><div class="line"><a name="l01628"></a><span class="lineno"> 1628</span>&#160;</div><div class="line"><a name="l01629"></a><span class="lineno"> 1629</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01630"></a><span class="lineno"> 1630</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l01631"></a><span class="lineno"> 1631</span>&#160;<span class="comment"> Set the 3d fitting tolerance used when morphing</span></div><div class="line"><a name="l01632"></a><span class="lineno"> 1632</span>&#160;<span class="comment"> surfaces and breps.</span></div><div class="line"><a name="l01633"></a><span class="lineno"> 1633</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l01634"></a><span class="lineno"> 1634</span>&#160;<span class="comment"> tolerance - [in] values &lt; 0.0 are treated as 0.0. </span></div><div class="line"><a name="l01635"></a><span class="lineno"> 1635</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01636"></a><span class="lineno"> 1636</span>&#160; <span class="keywordtype">void</span> SetTolerance(</div><div class="line"><a name="l01637"></a><span class="lineno"> 1637</span>&#160; <span class="keywordtype">double</span> tolerance</div><div class="line"><a name="l01638"></a><span class="lineno"> 1638</span>&#160; );</div><div class="line"><a name="l01639"></a><span class="lineno"> 1639</span>&#160;</div><div class="line"><a name="l01640"></a><span class="lineno"> 1640</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01641"></a><span class="lineno"> 1641</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l01642"></a><span class="lineno"> 1642</span>&#160;<span class="comment"> True if the morph should be done as quickly as</span></div><div class="line"><a name="l01643"></a><span class="lineno"> 1643</span>&#160;<span class="comment"> possible because the result is being used for</span></div><div class="line"><a name="l01644"></a><span class="lineno"> 1644</span>&#160;<span class="comment"> some type of dynamic preview. If QuickPreview</span></div><div class="line"><a name="l01645"></a><span class="lineno"> 1645</span>&#160;<span class="comment"> is true, the tolerance may be ignored.</span></div><div class="line"><a name="l01646"></a><span class="lineno"> 1646</span>&#160;<span class="comment"> Remarks:</span></div><div class="line"><a name="l01647"></a><span class="lineno"> 1647</span>&#160;<span class="comment"> The value returned by QuickPreview() does not</span></div><div class="line"><a name="l01648"></a><span class="lineno"> 1648</span>&#160;<span class="comment"> affect the way meshes and points are morphed.</span></div><div class="line"><a name="l01649"></a><span class="lineno"> 1649</span>&#160;<span class="comment"> The default is false.</span></div><div class="line"><a name="l01650"></a><span class="lineno"> 1650</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01651"></a><span class="lineno"> 1651</span>&#160; <span class="keywordtype">bool</span> QuickPreview() <span class="keyword">const</span>;</div><div class="line"><a name="l01652"></a><span class="lineno"> 1652</span>&#160;</div><div class="line"><a name="l01653"></a><span class="lineno"> 1653</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01654"></a><span class="lineno"> 1654</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l01655"></a><span class="lineno"> 1655</span>&#160;<span class="comment"> Set the quick preview value.</span></div><div class="line"><a name="l01656"></a><span class="lineno"> 1656</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l01657"></a><span class="lineno"> 1657</span>&#160;<span class="comment"> bQuickPreview - [in]</span></div><div class="line"><a name="l01658"></a><span class="lineno"> 1658</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01659"></a><span class="lineno"> 1659</span>&#160; <span class="keywordtype">void</span> SetQuickPreview( </div><div class="line"><a name="l01660"></a><span class="lineno"> 1660</span>&#160; <span class="keywordtype">bool</span> bQuickPreview </div><div class="line"><a name="l01661"></a><span class="lineno"> 1661</span>&#160; );</div><div class="line"><a name="l01662"></a><span class="lineno"> 1662</span>&#160;</div><div class="line"><a name="l01663"></a><span class="lineno"> 1663</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01664"></a><span class="lineno"> 1664</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l01665"></a><span class="lineno"> 1665</span>&#160;<span class="comment"> True if the morph should be done in a way that</span></div><div class="line"><a name="l01666"></a><span class="lineno"> 1666</span>&#160;<span class="comment"> preserves the structure of the geometry. </span></div><div class="line"><a name="l01667"></a><span class="lineno"> 1667</span>&#160;<span class="comment"> In particular, for NURBS objects, true</span></div><div class="line"><a name="l01668"></a><span class="lineno"> 1668</span>&#160;<span class="comment"> means that only the control points are moved.</span></div><div class="line"><a name="l01669"></a><span class="lineno"> 1669</span>&#160;<span class="comment"> Remarks:</span></div><div class="line"><a name="l01670"></a><span class="lineno"> 1670</span>&#160;<span class="comment"> The value returned by PreserveStructure() does not</span></div><div class="line"><a name="l01671"></a><span class="lineno"> 1671</span>&#160;<span class="comment"> affect the way meshes and points are morphed.</span></div><div class="line"><a name="l01672"></a><span class="lineno"> 1672</span>&#160;<span class="comment"> The default is false.</span></div><div class="line"><a name="l01673"></a><span class="lineno"> 1673</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01674"></a><span class="lineno"> 1674</span>&#160; <span class="keywordtype">bool</span> PreserveStructure() <span class="keyword">const</span>;</div><div class="line"><a name="l01675"></a><span class="lineno"> 1675</span>&#160;</div><div class="line"><a name="l01676"></a><span class="lineno"> 1676</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01677"></a><span class="lineno"> 1677</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l01678"></a><span class="lineno"> 1678</span>&#160;<span class="comment"> Set the preserve structure value.</span></div><div class="line"><a name="l01679"></a><span class="lineno"> 1679</span>&#160;<span class="comment"> Parameters:</span></div><div class="line"><a name="l01680"></a><span class="lineno"> 1680</span>&#160;<span class="comment"> bPreserveStructure - [in]</span></div><div class="line"><a name="l01681"></a><span class="lineno"> 1681</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01682"></a><span class="lineno"> 1682</span>&#160; <span class="keywordtype">void</span> SetPreserveStructure( </div><div class="line"><a name="l01683"></a><span class="lineno"> 1683</span>&#160; <span class="keywordtype">bool</span> bPreserveStructure</div><div class="line"><a name="l01684"></a><span class="lineno"> 1684</span>&#160; );</div><div class="line"><a name="l01685"></a><span class="lineno"> 1685</span>&#160;</div><div class="line"><a name="l01686"></a><span class="lineno"> 1686</span>&#160;<span class="keyword">private</span>:</div><div class="line"><a name="l01687"></a><span class="lineno"> 1687</span>&#160; <span class="keywordtype">double</span> m_tolerance = 0.0;</div><div class="line"><a name="l01688"></a><span class="lineno"> 1688</span>&#160; ON__UINT_PTR m_reserved1 = 0; <span class="comment">// Some reserved field could provide more Morph type information. RH-4091</span></div><div class="line"><a name="l01689"></a><span class="lineno"> 1689</span>&#160; <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> m_reserved2 = 0;</div><div class="line"><a name="l01690"></a><span class="lineno"> 1690</span>&#160; <span class="keywordtype">bool</span> m_bQuickPreview = <span class="keyword">false</span>;</div><div class="line"><a name="l01691"></a><span class="lineno"> 1691</span>&#160; <span class="keywordtype">bool</span> m_bPreserveStructure = <span class="keyword">false</span>;</div><div class="line"><a name="l01692"></a><span class="lineno"> 1692</span>&#160; <span class="keywordtype">char</span> m_reserved3 = 0;</div><div class="line"><a name="l01693"></a><span class="lineno"> 1693</span>&#160; <span class="keywordtype">char</span> m_reserved4 = 0;</div><div class="line"><a name="l01694"></a><span class="lineno"> 1694</span>&#160;};</div><div class="line"><a name="l01695"></a><span class="lineno"> 1695</span>&#160;</div><div class="line"><a name="l01696"></a><span class="lineno"> 1696</span>&#160;<span class="preprocessor">#if defined(ON_DLL_TEMPLATE)</span></div><div class="line"><a name="l01697"></a><span class="lineno"> 1697</span>&#160;ON_DLL_TEMPLATE <span class="keyword">template</span> <span class="keyword">class </span>ON_CLASS <a class="code" href="../../dc/dfe/class_o_n___simple_array.html">ON_SimpleArray&lt;ON_Xform&gt;</a>;</div><div class="line"><a name="l01698"></a><span class="lineno"> 1698</span>&#160;ON_DLL_TEMPLATE <span class="keyword">template</span> <span class="keyword">class </span>ON_CLASS <a class="code" href="../../dd/d40/class_o_n___class_array.html">ON_ClassArray&lt;ON_Localizer&gt;</a>;</div><div class="line"><a name="l01699"></a><span class="lineno"> 1699</span>&#160;<span class="preprocessor">#endif</span></div><div class="line"><a name="l01700"></a><span class="lineno"> 1700</span>&#160;</div><div class="line"><a name="l01701"></a><span class="lineno"> 1701</span>&#160;<span class="preprocessor">#endif</span></div><div class="ttc" id="class_o_n___nurbs_surface_html"><div class="ttname"><a href="../../de/ddc/class_o_n___nurbs_surface.html">ON_NurbsSurface</a></div><div class="ttdef"><b>Definition:</b> opennurbs_nurbssurface.h:62</div></div>
<div class="ttc" id="class_o_n___simple_array_html"><div class="ttname"><a href="../../dc/dfe/class_o_n___simple_array.html">ON_SimpleArray&lt; ON_3dPoint &gt;</a></div></div>
<div class="ttc" id="class_o_n___curve_html"><div class="ttname"><a href="../../d4/d5a/class_o_n___curve.html">ON_Curve</a></div><div class="ttdoc">ON_Curve is a pure virtual class for curve objects </div><div class="ttdef"><b>Definition:</b> opennurbs_curve.h:93</div></div>
<div class="ttc" id="class_o_n___xform_html_a26441e6a7d8989849fa3ea86a68a03de"><div class="ttname"><a href="../../d3/d13/class_o_n___xform.html#a26441e6a7d8989849fa3ea86a68a03de">ON_Xform::ZeroTransformation</a></div><div class="ttdeci">static const ON_Xform ZeroTransformation</div><div class="ttdoc">ON_Xform ZeroTransformation diagonal = (0,0,0,1) </div><div class="ttdef"><b>Definition:</b> opennurbs_xform.h:35</div></div>
<div class="ttc" id="class_o_n__3f_point_html"><div class="ttname"><a href="../../d0/dec/class_o_n__3f_point.html">ON_3fPoint</a></div><div class="ttdef"><b>Definition:</b> opennurbs_fpoint.h:211</div></div>
<div class="ttc" id="class_o_n___xform_html_a75bf00a40fd0675f4e9e16e499f4cd3a"><div class="ttname"><a href="../../d3/d13/class_o_n___xform.html#a75bf00a40fd0675f4e9e16e499f4cd3a">ON_Xform::Nan</a></div><div class="ttdeci">static const ON_Xform Nan</div><div class="ttdoc">ON_Xform::Nan - every coefficient is ON_DBL_QNAN. </div><div class="ttdef"><b>Definition:</b> opennurbs_xform.h:44</div></div>
<div class="ttc" id="class_o_n___pick_point_html"><div class="ttname"><a href="../../d0/d09/class_o_n___pick_point.html">ON_PickPoint</a></div><div class="ttdef"><b>Definition:</b> opennurbs_xform.h:1320</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___clipping_region_html"><div class="ttname"><a href="../../da/db3/class_o_n___clipping_region.html">ON_ClippingRegion</a></div><div class="ttdef"><b>Definition:</b> opennurbs_xform.h:904</div></div>
<div class="ttc" id="class_o_n___clipping_region_points_html"><div class="ttname"><a href="../../d9/d6f/class_o_n___clipping_region_points.html">ON_ClippingRegionPoints</a></div><div class="ttdoc">ON_ClippingRegionPoints is a container for storing or referencing clip points and clip flags...</div><div class="ttdef"><b>Definition:</b> opennurbs_xform.h:1191</div></div>
<div class="ttc" id="class_o_n__4d_point_html"><div class="ttname"><a href="../../d9/db1/class_o_n__4d_point.html">ON_4dPoint</a></div><div class="ttdef"><b>Definition:</b> opennurbs_point.h:648</div></div>
<div class="ttc" id="class_o_n___xform_html_a4b990ccd63d5ffb4606d93a76361aba0"><div class="ttname"><a href="../../d3/d13/class_o_n___xform.html#a4b990ccd63d5ffb4606d93a76361aba0">ON_Xform::IdentityTransformation</a></div><div class="ttdeci">static const ON_Xform IdentityTransformation</div><div class="ttdoc">ON_Xform IdentityTransformation diagonal = (1,1,1,1) </div><div class="ttdef"><b>Definition:</b> opennurbs_xform.h:32</div></div>
<div class="ttc" id="class_o_n___bounding_box_html"><div class="ttname"><a href="../../d1/d17/class_o_n___bounding_box.html">ON_BoundingBox</a></div><div class="ttdef"><b>Definition:</b> opennurbs_bounding_box.h:25</div></div>
<div class="ttc" id="class_o_n___space_morph_html"><div class="ttname"><a href="../../da/d04/class_o_n___space_morph.html">ON_SpaceMorph</a></div><div class="ttdef"><b>Definition:</b> opennurbs_xform.h:1502</div></div>
<div class="ttc" id="class_o_n___xform_html"><div class="ttname"><a href="../../d3/d13/class_o_n___xform.html">ON_Xform</a></div><div class="ttdef"><b>Definition:</b> opennurbs_xform.h:28</div></div>
<div class="ttc" id="class_o_n___matrix_html"><div class="ttname"><a href="../../d7/d20/class_o_n___matrix.html">ON_Matrix</a></div><div class="ttdef"><b>Definition:</b> opennurbs_matrix.h:22</div></div>
<div class="ttc" id="class_o_n__3d_point_html_aa68906e3e7650b01ce88c527f6088d7d"><div class="ttname"><a href="../../d2/d35/class_o_n__3d_point.html#aa68906e3e7650b01ce88c527f6088d7d">ON_3dPoint::UnsetPoint</a></div><div class="ttdeci">static const ON_3dPoint UnsetPoint</div><div class="ttdef"><b>Definition:</b> opennurbs_point.h:474</div></div>
<div class="ttc" id="class_o_n___class_array_html"><div class="ttname"><a href="../../dd/d40/class_o_n___class_array.html">ON_ClassArray&lt; ON_Localizer &gt;</a></div></div>
<div class="ttc" id="class_o_n___nurbs_curve_html"><div class="ttname"><a href="../../d3/d6a/class_o_n___nurbs_curve.html">ON_NurbsCurve</a></div><div class="ttdef"><b>Definition:</b> opennurbs_nurbscurve.h:26</div></div>
<div class="ttc" id="class_o_n___binary_archive_html"><div class="ttname"><a href="../../db/d16/class_o_n___binary_archive.html">ON_BinaryArchive</a></div><div class="ttdef"><b>Definition:</b> opennurbs_archive.h:1783</div></div>
<div class="ttc" id="class_o_n___viewport_html"><div class="ttname"><a href="../../d4/deb/class_o_n___viewport.html">ON_Viewport</a></div><div class="ttdef"><b>Definition:</b> opennurbs_viewport.h:31</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___xform_html_a76cecc9c0184d6febe9f38652dc7c9d4"><div class="ttname"><a href="../../d3/d13/class_o_n___xform.html#a76cecc9c0184d6febe9f38652dc7c9d4">ON_Xform::Unset</a></div><div class="ttdeci">static const ON_Xform Unset</div><div class="ttdoc">ON_Xform::Unset - every coefficient is ON_UNSET_VALUE. </div><div class="ttdef"><b>Definition:</b> opennurbs_xform.h:41</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___surface_html"><div class="ttname"><a href="../../da/da0/class_o_n___surface.html">ON_Surface</a></div><div class="ttdef"><b>Definition:</b> opennurbs_surface.h:57</div></div>
<div class="ttc" id="class_o_n___plane_equation_html"><div class="ttname"><a href="../../dd/d89/class_o_n___plane_equation.html">ON_PlaneEquation</a></div><div class="ttdoc">Typically the vector portion is a unit vector and m_d = -(x*P.x + y*P.y + z*P.z) for a point P on the...</div><div class="ttdef"><b>Definition:</b> opennurbs_point.h:1433</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___xform_html_a1d3bdd807f1352d7f7dff6d0ab364bdb"><div class="ttname"><a href="../../d3/d13/class_o_n___xform.html#a1d3bdd807f1352d7f7dff6d0ab364bdb">ON_Xform::Zero4x4</a></div><div class="ttdeci">static const ON_Xform Zero4x4</div><div class="ttdoc">ON_Xform::Zero4x4 - every coefficient is 0.0. </div><div class="ttdef"><b>Definition:</b> opennurbs_xform.h:38</div></div>
<div class="ttc" id="class_o_n__3d_vector_html"><div class="ttname"><a href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a></div><div class="ttdef"><b>Definition:</b> opennurbs_point.h:1152</div></div>
<div class="ttc" id="class_o_n___interval_html"><div class="ttname"><a href="../../dc/dc7/class_o_n___interval.html">ON_Interval</a></div><div class="ttdef"><b>Definition:</b> opennurbs_point.h:46</div></div>
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