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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 float precision point, vector, and array classes</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><span class="preprocessor">#if !defined(ON_FPOINT_INC_)</span></div><div class="line"><a name="l00023"></a><span class="lineno"> 23</span>&#160;<span class="preprocessor">#define ON_FPOINT_INC_</span></div><div class="line"><a name="l00024"></a><span class="lineno"> 24</span>&#160;</div><div class="line"><a name="l00025"></a><span class="lineno"> 25</span>&#160;<span class="keyword">class </span><a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>;</div><div class="line"><a name="l00026"></a><span class="lineno"> 26</span>&#160;</div><div class="line"><a name="l00027"></a><span class="lineno"> 27</span>&#160;<span class="keyword">class </span><a class="code" href="../../de/d5b/class_o_n__2f_point.html">ON_2fPoint</a>;</div><div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160;<span class="keyword">class </span><a class="code" href="../../d0/dec/class_o_n__3f_point.html">ON_3fPoint</a>;</div><div class="line"><a name="l00029"></a><span class="lineno"> 29</span>&#160;<span class="keyword">class </span><a class="code" href="../../db/d8c/class_o_n__4f_point.html">ON_4fPoint</a>;</div><div class="line"><a name="l00030"></a><span class="lineno"> 30</span>&#160;</div><div class="line"><a name="l00031"></a><span class="lineno"> 31</span>&#160;<span class="keyword">class </span><a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>;</div><div class="line"><a name="l00032"></a><span class="lineno"> 32</span>&#160;<span class="keyword">class </span><a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>;</div><div class="line"><a name="l00033"></a><span class="lineno"> 33</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00034"></a><span class="lineno"> 34</span>&#160;<span class="comment">////////////////////////////////////////////////////////////////</span></div><div class="line"><a name="l00035"></a><span class="lineno"> 35</span>&#160;<span class="comment"></span><span class="comment">//</span></div><div class="line"><a name="l00036"></a><span class="lineno"> 36</span>&#160;<span class="comment">// ON_2fPoint</span></div><div class="line"><a name="l00037"></a><span class="lineno"> 37</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00038"></a><span class="lineno"><a class="line" href="../../de/d5b/class_o_n__2f_point.html"> 38</a></span>&#160;<span class="keyword">class </span>ON_CLASS <a class="code" href="../../de/d5b/class_o_n__2f_point.html">ON_2fPoint</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="keyword">public</span>:</div><div class="line"><a name="l00041"></a><span class="lineno"><a class="line" href="../../de/d5b/class_o_n__2f_point.html#aa22a21f91d1840f3f74b2ddd2046b4c5"> 41</a></span>&#160; <span class="keywordtype">float</span> x, <a class="code" href="../../de/d5b/class_o_n__2f_point.html#aa22a21f91d1840f3f74b2ddd2046b4c5">y</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="keyword">public</span>:</div><div class="line"><a name="l00044"></a><span class="lineno"> 44</span>&#160; <span class="comment">// x,y not initialized</span></div><div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160; <a class="code" href="../../de/d5b/class_o_n__2f_point.html">ON_2fPoint</a>() = <span class="keywordflow">default</span>;</div><div class="line"><a name="l00046"></a><span class="lineno"> 46</span>&#160; ~<a class="code" href="../../de/d5b/class_o_n__2f_point.html">ON_2fPoint</a>() = <span class="keywordflow">default</span>;</div><div class="line"><a name="l00047"></a><span class="lineno"> 47</span>&#160; <a class="code" href="../../de/d5b/class_o_n__2f_point.html">ON_2fPoint</a>(<span class="keyword">const</span> <a class="code" href="../../de/d5b/class_o_n__2f_point.html">ON_2fPoint</a>&amp;) = <span class="keywordflow">default</span>;</div><div class="line"><a name="l00048"></a><span class="lineno"> 48</span>&#160; <a class="code" href="../../de/d5b/class_o_n__2f_point.html">ON_2fPoint</a>&amp; operator=(<span class="keyword">const</span> <a class="code" href="../../de/d5b/class_o_n__2f_point.html">ON_2fPoint</a>&amp;) = <span class="keywordflow">default</span>;</div><div class="line"><a name="l00049"></a><span class="lineno"> 49</span>&#160;</div><div class="line"><a name="l00050"></a><span class="lineno"> 50</span>&#160;<span class="keyword">public</span>:</div><div class="line"><a name="l00051"></a><span class="lineno"><a class="line" href="../../de/d5b/class_o_n__2f_point.html#a07685b9037fd387c786b7b2fdfedae90"> 51</a></span>&#160; <span class="keyword">static</span> <span class="keyword">const</span> <a class="code" href="../../de/d5b/class_o_n__2f_point.html">ON_2fPoint</a> <a class="code" href="../../de/d5b/class_o_n__2f_point.html#a07685b9037fd387c786b7b2fdfedae90">Origin</a>; <span class="comment">// (0.0f,0.0f)</span></div><div class="line"><a name="l00052"></a><span class="lineno"><a class="line" href="../../de/d5b/class_o_n__2f_point.html#aca0217425843178e12fdbf1484b38e52"> 52</a></span>&#160; <span class="keyword">static</span> <span class="keyword">const</span> <a class="code" href="../../de/d5b/class_o_n__2f_point.html">ON_2fPoint</a> <a class="code" href="../../de/d5b/class_o_n__2f_point.html#aca0217425843178e12fdbf1484b38e52">NanPoint</a>; <span class="comment">// (ON_FLT_QNAN,ON_FLT_QNAN)</span></div><div class="line"><a name="l00053"></a><span class="lineno"> 53</span>&#160;</div><div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160;<span class="keyword">public</span>:</div><div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160; <span class="keyword">explicit</span> <a class="code" href="../../de/d5b/class_o_n__2f_point.html">ON_2fPoint</a>(<span class="keywordtype">float</span> x,<span class="keywordtype">float</span> y);</div><div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160;</div><div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160;<span class="comment"> A well ordered dictionary compare function that is nan aware and can</span></div><div class="line"><a name="l00060"></a><span class="lineno"> 60</span>&#160;<span class="comment"> be used for robust sorting.</span></div><div class="line"><a name="l00061"></a><span class="lineno"> 61</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160; <span class="keyword">static</span> <span class="keywordtype">int</span> Compare(</div><div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160; <span class="keyword">const</span> <a class="code" href="../../de/d5b/class_o_n__2f_point.html">ON_2fPoint</a>&amp; lhs,</div><div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160; <span class="keyword">const</span> <a class="code" href="../../de/d5b/class_o_n__2f_point.html">ON_2fPoint</a>&amp; rhs</div><div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160; );</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; <span class="keyword">explicit</span> <a class="code" href="../../de/d5b/class_o_n__2f_point.html">ON_2fPoint</a>(<span class="keyword">const</span> <a class="code" href="../../d0/dec/class_o_n__3f_point.html">ON_3fPoint</a>&amp; ); <span class="comment">// from 3f point</span></div><div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160; <span class="keyword">explicit</span> <a class="code" href="../../de/d5b/class_o_n__2f_point.html">ON_2fPoint</a>(<span class="keyword">const</span> <a class="code" href="../../db/d8c/class_o_n__4f_point.html">ON_4fPoint</a>&amp; ); <span class="comment">// from 4f point</span></div><div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160; <span class="keyword">explicit</span> <a class="code" href="../../de/d5b/class_o_n__2f_point.html">ON_2fPoint</a>(<span class="keyword">const</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp; ); <span class="comment">// from 2f vector</span></div><div class="line"><a name="l00070"></a><span class="lineno"> 70</span>&#160; <span class="keyword">explicit</span> <a class="code" href="../../de/d5b/class_o_n__2f_point.html">ON_2fPoint</a>(<span class="keyword">const</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp; ); <span class="comment">// from 3f vector</span></div><div class="line"><a name="l00071"></a><span class="lineno"> 71</span>&#160; <span class="keyword">explicit</span> <a class="code" href="../../de/d5b/class_o_n__2f_point.html">ON_2fPoint</a>(<span class="keyword">const</span> <span class="keywordtype">float</span>*); <span class="comment">// from float[2] array</span></div><div class="line"><a name="l00072"></a><span class="lineno"> 72</span>&#160;</div><div class="line"><a name="l00073"></a><span class="lineno"> 73</span>&#160; <span class="keyword">explicit</span> <a class="code" href="../../de/d5b/class_o_n__2f_point.html">ON_2fPoint</a>(<span class="keyword">const</span> <a class="code" href="../../dd/dd9/class_o_n__2d_point.html">ON_2dPoint</a>&amp; ); <span class="comment">// from 2d point</span></div><div class="line"><a name="l00074"></a><span class="lineno"> 74</span>&#160; <span class="keyword">explicit</span> <a class="code" href="../../de/d5b/class_o_n__2f_point.html">ON_2fPoint</a>(<span class="keyword">const</span> <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&amp; ); <span class="comment">// from 3d point</span></div><div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160; <span class="keyword">explicit</span> <a class="code" href="../../de/d5b/class_o_n__2f_point.html">ON_2fPoint</a>(<span class="keyword">const</span> <a class="code" href="../../d9/db1/class_o_n__4d_point.html">ON_4dPoint</a>&amp; ); <span class="comment">// from 4d point</span></div><div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160; <span class="keyword">explicit</span> <a class="code" href="../../de/d5b/class_o_n__2f_point.html">ON_2fPoint</a>(<span class="keyword">const</span> <a class="code" href="../../da/d08/class_o_n__2d_vector.html">ON_2dVector</a>&amp; ); <span class="comment">// from 2d vector</span></div><div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160; <span class="keyword">explicit</span> <a class="code" href="../../de/d5b/class_o_n__2f_point.html">ON_2fPoint</a>(<span class="keyword">const</span> <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp; ); <span class="comment">// from 3d vector</span></div><div class="line"><a name="l00078"></a><span class="lineno"> 78</span>&#160; <span class="keyword">explicit</span> <a class="code" href="../../de/d5b/class_o_n__2f_point.html">ON_2fPoint</a>(<span class="keyword">const</span> <span class="keywordtype">double</span>*); <span class="comment">// from double[2] array</span></div><div class="line"><a name="l00079"></a><span class="lineno"> 79</span>&#160;</div><div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160; <span class="comment">// (float*) conversion operators</span></div><div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160; <span class="keyword">operator</span> <span class="keywordtype">float</span>*();</div><div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160; <span class="keyword">operator</span> <span class="keyword">const</span> <span class="keywordtype">float</span>*() <span class="keyword">const</span>;</div><div class="line"><a name="l00083"></a><span class="lineno"> 83</span>&#160;</div><div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160; <span class="comment">// use implicit operator=(const ON_2fPoint&amp;)</span></div><div class="line"><a name="l00085"></a><span class="lineno"> 85</span>&#160; <a class="code" href="../../de/d5b/class_o_n__2f_point.html">ON_2fPoint</a>&amp; operator=(<span class="keyword">const</span> <a class="code" href="../../d0/dec/class_o_n__3f_point.html">ON_3fPoint</a>&amp;);</div><div class="line"><a name="l00086"></a><span class="lineno"> 86</span>&#160; <a class="code" href="../../de/d5b/class_o_n__2f_point.html">ON_2fPoint</a>&amp; operator=(<span class="keyword">const</span> <a class="code" href="../../db/d8c/class_o_n__4f_point.html">ON_4fPoint</a>&amp;);</div><div class="line"><a name="l00087"></a><span class="lineno"> 87</span>&#160; <a class="code" href="../../de/d5b/class_o_n__2f_point.html">ON_2fPoint</a>&amp; operator=(<span class="keyword">const</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp;);</div><div class="line"><a name="l00088"></a><span class="lineno"> 88</span>&#160; <a class="code" href="../../de/d5b/class_o_n__2f_point.html">ON_2fPoint</a>&amp; operator=(<span class="keyword">const</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp;);</div><div class="line"><a name="l00089"></a><span class="lineno"> 89</span>&#160; <a class="code" href="../../de/d5b/class_o_n__2f_point.html">ON_2fPoint</a>&amp; operator=(<span class="keyword">const</span> <span class="keywordtype">float</span>*); <span class="comment">// point = float[2] support</span></div><div class="line"><a name="l00090"></a><span class="lineno"> 90</span>&#160;</div><div class="line"><a name="l00091"></a><span class="lineno"> 91</span>&#160; <a class="code" href="../../de/d5b/class_o_n__2f_point.html">ON_2fPoint</a>&amp; operator=(<span class="keyword">const</span> <a class="code" href="../../dd/dd9/class_o_n__2d_point.html">ON_2dPoint</a>&amp;);</div><div class="line"><a name="l00092"></a><span class="lineno"> 92</span>&#160; <a class="code" href="../../de/d5b/class_o_n__2f_point.html">ON_2fPoint</a>&amp; operator=(<span class="keyword">const</span> <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&amp;);</div><div class="line"><a name="l00093"></a><span class="lineno"> 93</span>&#160; <a class="code" href="../../de/d5b/class_o_n__2f_point.html">ON_2fPoint</a>&amp; operator=(<span class="keyword">const</span> <a class="code" href="../../d9/db1/class_o_n__4d_point.html">ON_4dPoint</a>&amp;);</div><div class="line"><a name="l00094"></a><span class="lineno"> 94</span>&#160; <a class="code" href="../../de/d5b/class_o_n__2f_point.html">ON_2fPoint</a>&amp; operator=(<span class="keyword">const</span> <a class="code" href="../../da/d08/class_o_n__2d_vector.html">ON_2dVector</a>&amp;);</div><div class="line"><a name="l00095"></a><span class="lineno"> 95</span>&#160; <a class="code" href="../../de/d5b/class_o_n__2f_point.html">ON_2fPoint</a>&amp; operator=(<span class="keyword">const</span> <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp;);</div><div class="line"><a name="l00096"></a><span class="lineno"> 96</span>&#160; <a class="code" href="../../de/d5b/class_o_n__2f_point.html">ON_2fPoint</a>&amp; operator=(<span class="keyword">const</span> <span class="keywordtype">double</span>*); <span class="comment">// point = double[2] support</span></div><div class="line"><a name="l00097"></a><span class="lineno"> 97</span>&#160;</div><div class="line"><a name="l00098"></a><span class="lineno"> 98</span>&#160; <a class="code" href="../../de/d5b/class_o_n__2f_point.html">ON_2fPoint</a>&amp; operator*=(<span class="keywordtype">float</span>);</div><div class="line"><a name="l00099"></a><span class="lineno"> 99</span>&#160; <a class="code" href="../../de/d5b/class_o_n__2f_point.html">ON_2fPoint</a>&amp; operator/=(<span class="keywordtype">float</span>);</div><div class="line"><a name="l00100"></a><span class="lineno"> 100</span>&#160; <a class="code" href="../../de/d5b/class_o_n__2f_point.html">ON_2fPoint</a>&amp; operator+=(<span class="keyword">const</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp;);</div><div class="line"><a name="l00101"></a><span class="lineno"> 101</span>&#160; <a class="code" href="../../de/d5b/class_o_n__2f_point.html">ON_2fPoint</a>&amp; operator-=(<span class="keyword">const</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp;);</div><div class="line"><a name="l00102"></a><span class="lineno"> 102</span>&#160;</div><div class="line"><a name="l00103"></a><span class="lineno"> 103</span>&#160; <a class="code" href="../../de/d5b/class_o_n__2f_point.html">ON_2fPoint</a> operator*(<span class="keywordtype">int</span>) <span class="keyword">const</span>;</div><div class="line"><a name="l00104"></a><span class="lineno"> 104</span>&#160; <a class="code" href="../../de/d5b/class_o_n__2f_point.html">ON_2fPoint</a> operator/(<span class="keywordtype">int</span>) <span class="keyword">const</span>;</div><div class="line"><a name="l00105"></a><span class="lineno"> 105</span>&#160; <a class="code" href="../../de/d5b/class_o_n__2f_point.html">ON_2fPoint</a> operator*(<span class="keywordtype">float</span>) <span class="keyword">const</span>;</div><div class="line"><a name="l00106"></a><span class="lineno"> 106</span>&#160; <a class="code" href="../../de/d5b/class_o_n__2f_point.html">ON_2fPoint</a> operator/(<span class="keywordtype">float</span>) <span class="keyword">const</span>;</div><div class="line"><a name="l00107"></a><span class="lineno"> 107</span>&#160; <a class="code" href="../../dd/dd9/class_o_n__2d_point.html">ON_2dPoint</a> operator*(<span class="keywordtype">double</span>) <span class="keyword">const</span>;</div><div class="line"><a name="l00108"></a><span class="lineno"> 108</span>&#160; <a class="code" href="../../dd/dd9/class_o_n__2d_point.html">ON_2dPoint</a> operator/(<span class="keywordtype">double</span>) <span class="keyword">const</span>;</div><div class="line"><a name="l00109"></a><span class="lineno"> 109</span>&#160;</div><div class="line"><a name="l00110"></a><span class="lineno"> 110</span>&#160; <a class="code" href="../../de/d5b/class_o_n__2f_point.html">ON_2fPoint</a> operator+(<span class="keyword">const</span> <a class="code" href="../../de/d5b/class_o_n__2f_point.html">ON_2fPoint</a>&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00111"></a><span class="lineno"> 111</span>&#160; <a class="code" href="../../de/d5b/class_o_n__2f_point.html">ON_2fPoint</a> operator+(<span class="keyword">const</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00112"></a><span class="lineno"> 112</span>&#160; <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a> operator-(<span class="keyword">const</span> <a class="code" href="../../de/d5b/class_o_n__2f_point.html">ON_2fPoint</a>&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00113"></a><span class="lineno"> 113</span>&#160; <a class="code" href="../../de/d5b/class_o_n__2f_point.html">ON_2fPoint</a> operator-(<span class="keyword">const</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00114"></a><span class="lineno"> 114</span>&#160; <a class="code" href="../../d0/dec/class_o_n__3f_point.html">ON_3fPoint</a> operator+(<span class="keyword">const</span> <a class="code" href="../../d0/dec/class_o_n__3f_point.html">ON_3fPoint</a>&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00115"></a><span class="lineno"> 115</span>&#160; <a class="code" href="../../d0/dec/class_o_n__3f_point.html">ON_3fPoint</a> operator+(<span class="keyword">const</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00116"></a><span class="lineno"> 116</span>&#160; <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a> operator-(<span class="keyword">const</span> <a class="code" href="../../d0/dec/class_o_n__3f_point.html">ON_3fPoint</a>&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00117"></a><span class="lineno"> 117</span>&#160; <a class="code" href="../../d0/dec/class_o_n__3f_point.html">ON_3fPoint</a> operator-(<span class="keyword">const</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00118"></a><span class="lineno"> 118</span>&#160;</div><div class="line"><a name="l00119"></a><span class="lineno"> 119</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="l00120"></a><span class="lineno"> 120</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="../../da/d08/class_o_n__2d_vector.html">ON_2dVector</a>&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00121"></a><span class="lineno"> 121</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="../../dd/dd9/class_o_n__2d_point.html">ON_2dPoint</a>&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00122"></a><span class="lineno"> 122</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="../../da/d08/class_o_n__2d_vector.html">ON_2dVector</a>&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00123"></a><span class="lineno"> 123</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="l00124"></a><span class="lineno"> 124</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="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00125"></a><span class="lineno"> 125</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="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</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="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00127"></a><span class="lineno"> 127</span>&#160;</div><div class="line"><a name="l00128"></a><span class="lineno"> 128</span>&#160; <span class="keywordtype">float</span> operator*(<span class="keyword">const</span> <a class="code" href="../../de/d5b/class_o_n__2f_point.html">ON_2fPoint</a>&amp;) <span class="keyword">const</span>; <span class="comment">// for points acting as vectors</span></div><div class="line"><a name="l00129"></a><span class="lineno"> 129</span>&#160; <span class="keywordtype">float</span> operator*(<span class="keyword">const</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp;) <span class="keyword">const</span>; <span class="comment">// for points acting as vectors</span></div><div class="line"><a name="l00130"></a><span class="lineno"> 130</span>&#160;</div><div class="line"><a name="l00131"></a><span class="lineno"> 131</span>&#160; <span class="keywordtype">bool</span> operator==(<span class="keyword">const</span> <a class="code" href="../../de/d5b/class_o_n__2f_point.html">ON_2fPoint</a>&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00132"></a><span class="lineno"> 132</span>&#160; <span class="keywordtype">bool</span> operator!=(<span class="keyword">const</span> <a class="code" href="../../de/d5b/class_o_n__2f_point.html">ON_2fPoint</a>&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00133"></a><span class="lineno"> 133</span>&#160;</div><div class="line"><a name="l00134"></a><span class="lineno"> 134</span>&#160; <span class="comment">// dictionary order comparisons</span></div><div class="line"><a name="l00135"></a><span class="lineno"> 135</span>&#160; <span class="keywordtype">bool</span> operator&lt;=(<span class="keyword">const</span> <a class="code" href="../../de/d5b/class_o_n__2f_point.html">ON_2fPoint</a>&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00136"></a><span class="lineno"> 136</span>&#160; <span class="keywordtype">bool</span> operator&gt;=(<span class="keyword">const</span> <a class="code" href="../../de/d5b/class_o_n__2f_point.html">ON_2fPoint</a>&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00137"></a><span class="lineno"> 137</span>&#160; <span class="keywordtype">bool</span> operator&lt;(<span class="keyword">const</span> <a class="code" href="../../de/d5b/class_o_n__2f_point.html">ON_2fPoint</a>&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00138"></a><span class="lineno"> 138</span>&#160; <span class="keywordtype">bool</span> operator&gt;(<span class="keyword">const</span> <a class="code" href="../../de/d5b/class_o_n__2f_point.html">ON_2fPoint</a>&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00139"></a><span class="lineno"> 139</span>&#160;</div><div class="line"><a name="l00140"></a><span class="lineno"> 140</span>&#160; <span class="comment">// index operators mimic float[2] behavior</span></div><div class="line"><a name="l00141"></a><span class="lineno"> 141</span>&#160; <span class="keywordtype">float</span>&amp; operator[](<span class="keywordtype">int</span>);</div><div class="line"><a name="l00142"></a><span class="lineno"> 142</span>&#160; <span class="keywordtype">float</span> operator[](<span class="keywordtype">int</span>) <span class="keyword">const</span>;</div><div class="line"><a name="l00143"></a><span class="lineno"> 143</span>&#160; <span class="keywordtype">float</span>&amp; operator[](<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span>);</div><div class="line"><a name="l00144"></a><span class="lineno"> 144</span>&#160; <span class="keywordtype">float</span> operator[](<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span>) <span class="keyword">const</span>;</div><div class="line"><a name="l00145"></a><span class="lineno"> 145</span>&#160;</div><div class="line"><a name="l00146"></a><span class="lineno"> 146</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00147"></a><span class="lineno"> 147</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00148"></a><span class="lineno"> 148</span>&#160;<span class="comment"> False if any coordinate is ON_UNSET_FLOAT, ON_UNSET_POSITIVE_FLOAT, nan, or infinite.</span></div><div class="line"><a name="l00149"></a><span class="lineno"> 149</span>&#160;<span class="comment"> True, otherwise.</span></div><div class="line"><a name="l00150"></a><span class="lineno"> 150</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00151"></a><span class="lineno"> 151</span>&#160; <span class="keywordtype">bool</span> IsValid() <span class="keyword">const</span>;</div><div class="line"><a name="l00152"></a><span class="lineno"> 152</span>&#160; </div><div class="line"><a name="l00153"></a><span class="lineno"> 153</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00154"></a><span class="lineno"> 154</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00155"></a><span class="lineno"> 155</span>&#160;<span class="comment"> True if any coordinate is ON_UNSET_FLOAT or ON_UNSET_POSITIVE_FLOAT</span></div><div class="line"><a name="l00156"></a><span class="lineno"> 156</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00157"></a><span class="lineno"> 157</span>&#160; <span class="keywordtype">bool</span> IsUnset() <span class="keyword">const</span>;</div><div class="line"><a name="l00158"></a><span class="lineno"> 158</span>&#160;</div><div class="line"><a name="l00159"></a><span class="lineno"> 159</span>&#160; <span class="comment">// set 2d point value</span></div><div class="line"><a name="l00160"></a><span class="lineno"> 160</span>&#160; <span class="keywordtype">void</span> Set(<span class="keywordtype">float</span>,<span class="keywordtype">float</span>);</div><div class="line"><a name="l00161"></a><span class="lineno"> 161</span>&#160;</div><div class="line"><a name="l00162"></a><span class="lineno"> 162</span>&#160; <span class="keywordtype">double</span> DistanceTo( <span class="keyword">const</span> <a class="code" href="../../de/d5b/class_o_n__2f_point.html">ON_2fPoint</a>&amp; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00163"></a><span class="lineno"> 163</span>&#160;</div><div class="line"><a name="l00164"></a><span class="lineno"> 164</span>&#160; <span class="keywordtype">int</span> MaximumCoordinateIndex() <span class="keyword">const</span>;</div><div class="line"><a name="l00165"></a><span class="lineno"> 165</span>&#160; <span class="keywordtype">double</span> MaximumCoordinate() <span class="keyword">const</span>; <span class="comment">// absolute value of maximum coordinate</span></div><div class="line"><a name="l00166"></a><span class="lineno"> 166</span>&#160;</div><div class="line"><a name="l00167"></a><span class="lineno"> 167</span>&#160; ON_DEPRECATED_MSG(<span class="stringliteral">&quot;Use p = ON_2fPoint::Origin;&quot;</span>)</div><div class="line"><a name="l00168"></a><span class="lineno"> 168</span>&#160; void Zero(); <span class="comment">// set all coordinates to zero;</span></div><div class="line"><a name="l00169"></a><span class="lineno"> 169</span>&#160;</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="comment"> Returns:</span></div><div class="line"><a name="l00172"></a><span class="lineno"> 172</span>&#160;<span class="comment"> true if all coordinates are not zero and no coordinates are nans.</span></div><div class="line"><a name="l00173"></a><span class="lineno"> 173</span>&#160;<span class="comment"> false otherwise.</span></div><div class="line"><a name="l00174"></a><span class="lineno"> 174</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00175"></a><span class="lineno"> 175</span>&#160; <span class="keywordtype">bool</span> IsZero() const;</div><div class="line"><a name="l00176"></a><span class="lineno"> 176</span>&#160;</div><div class="line"><a name="l00177"></a><span class="lineno"> 177</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00178"></a><span class="lineno"> 178</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00179"></a><span class="lineno"> 179</span>&#160;<span class="comment"> true if at least one coordinate is not zero and no coordinates are nans.</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> IsNotZero() const;</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">// These transform the point in place. The transformation matrix acts on</span></div><div class="line"><a name="l00184"></a><span class="lineno"> 184</span>&#160; <span class="comment">// the left of the point; i.e., result = transformation*point</span></div><div class="line"><a name="l00185"></a><span class="lineno"> 185</span>&#160; <span class="keywordtype">void</span> Transform( </div><div class="line"><a name="l00186"></a><span class="lineno"> 186</span>&#160; const <a class="code" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>&amp;</div><div class="line"><a name="l00187"></a><span class="lineno"> 187</span>&#160; );</div><div class="line"><a name="l00188"></a><span class="lineno"> 188</span>&#160;</div><div class="line"><a name="l00189"></a><span class="lineno"> 189</span>&#160; <span class="keywordtype">void</span> Rotate( <span class="comment">// rotatation in XY plane</span></div><div class="line"><a name="l00190"></a><span class="lineno"> 190</span>&#160; <span class="keywordtype">double</span>, <span class="comment">// angle in radians</span></div><div class="line"><a name="l00191"></a><span class="lineno"> 191</span>&#160; const <a class="code" href="../../de/d5b/class_o_n__2f_point.html">ON_2fPoint</a>&amp; <span class="comment">// center of rotation</span></div><div class="line"><a name="l00192"></a><span class="lineno"> 192</span>&#160; );</div><div class="line"><a name="l00193"></a><span class="lineno"> 193</span>&#160;</div><div class="line"><a name="l00194"></a><span class="lineno"> 194</span>&#160; <span class="keywordtype">void</span> Rotate( <span class="comment">// rotatation in XY plane</span></div><div class="line"><a name="l00195"></a><span class="lineno"> 195</span>&#160; <span class="keywordtype">double</span>, <span class="comment">// sin(angle)</span></div><div class="line"><a name="l00196"></a><span class="lineno"> 196</span>&#160; <span class="keywordtype">double</span>, <span class="comment">// cos(angle)</span></div><div class="line"><a name="l00197"></a><span class="lineno"> 197</span>&#160; const ON_2fPoint&amp; <span class="comment">// center of rotation</span></div><div class="line"><a name="l00198"></a><span class="lineno"> 198</span>&#160; );</div><div class="line"><a name="l00199"></a><span class="lineno"> 199</span>&#160;</div><div class="line"><a name="l00200"></a><span class="lineno"> 200</span>&#160; ON__UINT32 DataCRC(ON__UINT32 current_remainder) const;</div><div class="line"><a name="l00201"></a><span class="lineno"> 201</span>&#160;};</div><div class="line"><a name="l00202"></a><span class="lineno"> 202</span>&#160;</div><div class="line"><a name="l00203"></a><span class="lineno"> 203</span>&#160;ON_DECL</div><div class="line"><a name="l00204"></a><span class="lineno"> 204</span>&#160;ON_2fPoint operator*(<span class="keywordtype">int</span>, const ON_2fPoint&amp;);</div><div class="line"><a name="l00205"></a><span class="lineno"> 205</span>&#160;</div><div class="line"><a name="l00206"></a><span class="lineno"> 206</span>&#160;ON_DECL</div><div class="line"><a name="l00207"></a><span class="lineno"> 207</span>&#160;ON_2fPoint operator*(<span class="keywordtype">float</span>, const ON_2fPoint&amp;);</div><div class="line"><a name="l00208"></a><span class="lineno"> 208</span>&#160;</div><div class="line"><a name="l00209"></a><span class="lineno"> 209</span>&#160;ON_DECL</div><div class="line"><a name="l00210"></a><span class="lineno"> 210</span>&#160;<a class="code" href="../../dd/dd9/class_o_n__2d_point.html">ON_2dPoint</a> operator*(<span class="keywordtype">double</span>, const ON_2fPoint&amp;);</div><div class="line"><a name="l00211"></a><span class="lineno"><a class="line" href="../../d0/dec/class_o_n__3f_point.html"> 211</a></span>&#160;<span class="comment"></span></div><div class="line"><a name="l00212"></a><span class="lineno"> 212</span>&#160;<span class="comment">////////////////////////////////////////////////////////////////</span></div><div class="line"><a name="l00213"></a><span class="lineno"> 213</span>&#160;<span class="comment"></span><span class="comment">//</span></div><div class="line"><a name="l00214"></a><span class="lineno"><a class="line" href="../../d0/dec/class_o_n__3f_point.html#a89e074581e7d60708cf3e241e0274f0b"> 214</a></span>&#160;<span class="comment">// ON_3fPoint</span></div><div class="line"><a name="l00215"></a><span class="lineno"> 215</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00216"></a><span class="lineno"> 216</span>&#160;class ON_CLASS <a class="code" href="../../d0/dec/class_o_n__3f_point.html">ON_3fPoint</a></div><div class="line"><a name="l00217"></a><span class="lineno"> 217</span>&#160;{</div><div class="line"><a name="l00218"></a><span class="lineno"> 218</span>&#160;<span class="keyword">public</span>:</div><div class="line"><a name="l00219"></a><span class="lineno"> 219</span>&#160; <span class="keywordtype">float</span> x, y, z;</div><div class="line"><a name="l00220"></a><span class="lineno"> 220</span>&#160;</div><div class="line"><a name="l00221"></a><span class="lineno"> 221</span>&#160;<span class="keyword">public</span>:</div><div class="line"><a name="l00222"></a><span class="lineno"> 222</span>&#160; <span class="comment">// x,y,z not initialized</span></div><div class="line"><a name="l00223"></a><span class="lineno"> 223</span>&#160; ON_3fPoint() = <span class="keywordflow">default</span>;</div><div class="line"><a name="l00224"></a><span class="lineno"><a class="line" href="../../d0/dec/class_o_n__3f_point.html#a9b5d67156ce989142dee8c8979d1510b"> 224</a></span>&#160; ~ON_3fPoint() = <span class="keywordflow">default</span>;</div><div class="line"><a name="l00225"></a><span class="lineno"><a class="line" href="../../d0/dec/class_o_n__3f_point.html#a4829a2380f1b71096fdb4a21eb445a0b"> 225</a></span>&#160; ON_3fPoint(<span class="keyword">const</span> ON_3fPoint&amp;) = <span class="keywordflow">default</span>;</div><div class="line"><a name="l00226"></a><span class="lineno"> 226</span>&#160; ON_3fPoint&amp; operator=(<span class="keyword">const</span> ON_3fPoint&amp;) = <span class="keywordflow">default</span>;</div><div class="line"><a name="l00227"></a><span class="lineno"> 227</span>&#160;</div><div class="line"><a name="l00228"></a><span class="lineno"> 228</span>&#160;<span class="keyword">public</span>:</div><div class="line"><a name="l00229"></a><span class="lineno"> 229</span>&#160; <span class="keyword">static</span> <span class="keyword">const</span> ON_3fPoint Origin; <span class="comment">// (0.0f,0.0f,0.0f)</span></div><div class="line"><a name="l00230"></a><span class="lineno"> 230</span>&#160; <span class="keyword">static</span> <span class="keyword">const</span> ON_3fPoint NanPoint; <span class="comment">// (ON_FLT_QNAN,ON_FLT_QNAN,ON_FLT_QNAN)</span></div><div class="line"><a name="l00231"></a><span class="lineno"> 231</span>&#160;</div><div class="line"><a name="l00232"></a><span class="lineno"> 232</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00233"></a><span class="lineno"> 233</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00234"></a><span class="lineno"> 234</span>&#160;<span class="comment"> A well ordered dictionary compare function that is nan aware and can</span></div><div class="line"><a name="l00235"></a><span class="lineno"> 235</span>&#160;<span class="comment"> be used for robust sorting.</span></div><div class="line"><a name="l00236"></a><span class="lineno"> 236</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00237"></a><span class="lineno"> 237</span>&#160; <span class="keyword">static</span> <span class="keywordtype">int</span> Compare(</div><div class="line"><a name="l00238"></a><span class="lineno"> 238</span>&#160; <span class="keyword">const</span> ON_3fPoint&amp; lhs,</div><div class="line"><a name="l00239"></a><span class="lineno"> 239</span>&#160; <span class="keyword">const</span> ON_3fPoint&amp; rhs</div><div class="line"><a name="l00240"></a><span class="lineno"> 240</span>&#160; );</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="keyword">explicit</span> ON_3fPoint(<span class="keywordtype">float</span> x,<span class="keywordtype">float</span> y,<span class="keywordtype">float</span> z);</div><div class="line"><a name="l00243"></a><span class="lineno"> 243</span>&#160; <span class="keyword">explicit</span> ON_3fPoint(<span class="keyword">const</span> ON_2fPoint&amp; ); <span class="comment">// from 2f point</span></div><div class="line"><a name="l00244"></a><span class="lineno"> 244</span>&#160; <span class="keyword">explicit</span> ON_3fPoint(<span class="keyword">const</span> <a class="code" href="../../db/d8c/class_o_n__4f_point.html">ON_4fPoint</a>&amp; ); <span class="comment">// from 4f point</span></div><div class="line"><a name="l00245"></a><span class="lineno"> 245</span>&#160; <span class="keyword">explicit</span> ON_3fPoint(<span class="keyword">const</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp; ); <span class="comment">// from 2f vector</span></div><div class="line"><a name="l00246"></a><span class="lineno"> 246</span>&#160; <span class="keyword">explicit</span> ON_3fPoint(<span class="keyword">const</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp; ); <span class="comment">// from 3f vector</span></div><div class="line"><a name="l00247"></a><span class="lineno"> 247</span>&#160; <span class="keyword">explicit</span> ON_3fPoint(<span class="keyword">const</span> <span class="keywordtype">float</span>*); <span class="comment">// from float[3] array</span></div><div class="line"><a name="l00248"></a><span class="lineno"> 248</span>&#160;</div><div class="line"><a name="l00249"></a><span class="lineno"> 249</span>&#160; <span class="keyword">explicit</span> ON_3fPoint(<span class="keyword">const</span> <a class="code" href="../../dd/dd9/class_o_n__2d_point.html">ON_2dPoint</a>&amp; ); <span class="comment">// from 2d point</span></div><div class="line"><a name="l00250"></a><span class="lineno"> 250</span>&#160; <span class="keyword">explicit</span> ON_3fPoint(<span class="keyword">const</span> <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&amp; ); <span class="comment">// from 3d point</span></div><div class="line"><a name="l00251"></a><span class="lineno"> 251</span>&#160; <span class="keyword">explicit</span> ON_3fPoint(<span class="keyword">const</span> <a class="code" href="../../d9/db1/class_o_n__4d_point.html">ON_4dPoint</a>&amp; ); <span class="comment">// from 4d point</span></div><div class="line"><a name="l00252"></a><span class="lineno"> 252</span>&#160; <span class="keyword">explicit</span> ON_3fPoint(<span class="keyword">const</span> <a class="code" href="../../da/d08/class_o_n__2d_vector.html">ON_2dVector</a>&amp; ); <span class="comment">// from 2d vector</span></div><div class="line"><a name="l00253"></a><span class="lineno"> 253</span>&#160; <span class="keyword">explicit</span> ON_3fPoint(<span class="keyword">const</span> <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp; ); <span class="comment">// from 3d vector</span></div><div class="line"><a name="l00254"></a><span class="lineno"> 254</span>&#160; <span class="keyword">explicit</span> ON_3fPoint(<span class="keyword">const</span> <span class="keywordtype">double</span>*); <span class="comment">// from double[3] array</span></div><div class="line"><a name="l00255"></a><span class="lineno"> 255</span>&#160;</div><div class="line"><a name="l00256"></a><span class="lineno"> 256</span>&#160; <span class="comment">// (float*) conversion operators</span></div><div class="line"><a name="l00257"></a><span class="lineno"> 257</span>&#160; <span class="keyword">operator</span> <span class="keywordtype">float</span>*();</div><div class="line"><a name="l00258"></a><span class="lineno"> 258</span>&#160; <span class="keyword">operator</span> <span class="keyword">const</span> <span class="keywordtype">float</span>*() <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">// use implicit operator=(const ON_3fPoint&amp;)</span></div><div class="line"><a name="l00261"></a><span class="lineno"> 261</span>&#160; ON_3fPoint&amp; operator=(<span class="keyword">const</span> ON_2fPoint&amp;);</div><div class="line"><a name="l00262"></a><span class="lineno"> 262</span>&#160; ON_3fPoint&amp; operator=(<span class="keyword">const</span> <a class="code" href="../../db/d8c/class_o_n__4f_point.html">ON_4fPoint</a>&amp;);</div><div class="line"><a name="l00263"></a><span class="lineno"> 263</span>&#160; ON_3fPoint&amp; operator=(<span class="keyword">const</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp;);</div><div class="line"><a name="l00264"></a><span class="lineno"> 264</span>&#160; ON_3fPoint&amp; operator=(<span class="keyword">const</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp;);</div><div class="line"><a name="l00265"></a><span class="lineno"> 265</span>&#160; ON_3fPoint&amp; operator=(<span class="keyword">const</span> <span class="keywordtype">float</span>*); <span class="comment">// point = float[3] support</span></div><div class="line"><a name="l00266"></a><span class="lineno"> 266</span>&#160;</div><div class="line"><a name="l00267"></a><span class="lineno"> 267</span>&#160; ON_3fPoint&amp; operator=(<span class="keyword">const</span> <a class="code" href="../../dd/dd9/class_o_n__2d_point.html">ON_2dPoint</a>&amp;);</div><div class="line"><a name="l00268"></a><span class="lineno"> 268</span>&#160; ON_3fPoint&amp; operator=(<span class="keyword">const</span> <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&amp;);</div><div class="line"><a name="l00269"></a><span class="lineno"> 269</span>&#160; ON_3fPoint&amp; operator=(<span class="keyword">const</span> <a class="code" href="../../d9/db1/class_o_n__4d_point.html">ON_4dPoint</a>&amp;);</div><div class="line"><a name="l00270"></a><span class="lineno"> 270</span>&#160; ON_3fPoint&amp; operator=(<span class="keyword">const</span> <a class="code" href="../../da/d08/class_o_n__2d_vector.html">ON_2dVector</a>&amp;);</div><div class="line"><a name="l00271"></a><span class="lineno"> 271</span>&#160; ON_3fPoint&amp; operator=(<span class="keyword">const</span> <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp;);</div><div class="line"><a name="l00272"></a><span class="lineno"> 272</span>&#160; ON_3fPoint&amp; operator=(<span class="keyword">const</span> <span class="keywordtype">double</span>*); <span class="comment">// point = double[3] support</span></div><div class="line"><a name="l00273"></a><span class="lineno"> 273</span>&#160;</div><div class="line"><a name="l00274"></a><span class="lineno"> 274</span>&#160; ON_3fPoint&amp; operator*=(<span class="keywordtype">float</span>);</div><div class="line"><a name="l00275"></a><span class="lineno"> 275</span>&#160; ON_3fPoint&amp; operator/=(<span class="keywordtype">float</span>);</div><div class="line"><a name="l00276"></a><span class="lineno"> 276</span>&#160; ON_3fPoint&amp; operator+=(<span class="keyword">const</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp;);</div><div class="line"><a name="l00277"></a><span class="lineno"> 277</span>&#160; ON_3fPoint&amp; operator-=(<span class="keyword">const</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp;);</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; ON_3fPoint operator*(<span class="keywordtype">int</span>) <span class="keyword">const</span>;</div><div class="line"><a name="l00280"></a><span class="lineno"> 280</span>&#160; ON_3fPoint operator/(<span class="keywordtype">int</span>) <span class="keyword">const</span>;</div><div class="line"><a name="l00281"></a><span class="lineno"> 281</span>&#160; ON_3fPoint operator*(<span class="keywordtype">float</span>) <span class="keyword">const</span>;</div><div class="line"><a name="l00282"></a><span class="lineno"> 282</span>&#160; ON_3fPoint operator/(<span class="keywordtype">float</span>) <span class="keyword">const</span>;</div><div class="line"><a name="l00283"></a><span class="lineno"> 283</span>&#160; <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> operator*(<span class="keywordtype">double</span>) <span class="keyword">const</span>;</div><div class="line"><a name="l00284"></a><span class="lineno"> 284</span>&#160; <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> operator/(<span class="keywordtype">double</span>) <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; ON_3fPoint operator+(<span class="keyword">const</span> ON_3fPoint&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00287"></a><span class="lineno"> 287</span>&#160; ON_3fPoint operator+(<span class="keyword">const</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00288"></a><span class="lineno"> 288</span>&#160; <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a> operator-(<span class="keyword">const</span> ON_3fPoint&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00289"></a><span class="lineno"> 289</span>&#160; ON_3fPoint operator-(<span class="keyword">const</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00290"></a><span class="lineno"> 290</span>&#160; ON_3fPoint operator+(<span class="keyword">const</span> ON_2fPoint&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00291"></a><span class="lineno"> 291</span>&#160; ON_3fPoint operator+(<span class="keyword">const</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00292"></a><span class="lineno"> 292</span>&#160; <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a> operator-(<span class="keyword">const</span> ON_2fPoint&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00293"></a><span class="lineno"> 293</span>&#160; ON_3fPoint operator-(<span class="keyword">const</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00294"></a><span class="lineno"> 294</span>&#160;</div><div class="line"><a name="l00295"></a><span class="lineno"> 295</span>&#160; <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="l00296"></a><span class="lineno"> 296</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="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00297"></a><span class="lineno"> 297</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="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00298"></a><span class="lineno"> 298</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="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00299"></a><span class="lineno"> 299</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="../../dd/dd9/class_o_n__2d_point.html">ON_2dPoint</a>&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00300"></a><span class="lineno"> 300</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="../../da/d08/class_o_n__2d_vector.html">ON_2dVector</a>&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00301"></a><span class="lineno"> 301</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="../../dd/dd9/class_o_n__2d_point.html">ON_2dPoint</a>&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00302"></a><span class="lineno"> 302</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="../../da/d08/class_o_n__2d_vector.html">ON_2dVector</a>&amp;) <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="keywordtype">float</span> operator*(<span class="keyword">const</span> ON_3fPoint&amp;) <span class="keyword">const</span>; <span class="comment">// for points acting as vectors</span></div><div class="line"><a name="l00305"></a><span class="lineno"> 305</span>&#160; <span class="keywordtype">float</span> operator*(<span class="keyword">const</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp;) <span class="keyword">const</span>; <span class="comment">// for points acting as vectors</span></div><div class="line"><a name="l00306"></a><span class="lineno"> 306</span>&#160;</div><div class="line"><a name="l00307"></a><span class="lineno"> 307</span>&#160; <span class="keywordtype">bool</span> operator==(<span class="keyword">const</span> ON_3fPoint&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00308"></a><span class="lineno"> 308</span>&#160; <span class="keywordtype">bool</span> operator!=(<span class="keyword">const</span> ON_3fPoint&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00309"></a><span class="lineno"> 309</span>&#160;</div><div class="line"><a name="l00310"></a><span class="lineno"> 310</span>&#160; <span class="comment">// dictionary order comparisons</span></div><div class="line"><a name="l00311"></a><span class="lineno"> 311</span>&#160; <span class="keywordtype">bool</span> operator&lt;=(<span class="keyword">const</span> ON_3fPoint&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00312"></a><span class="lineno"> 312</span>&#160; <span class="keywordtype">bool</span> operator&gt;=(<span class="keyword">const</span> ON_3fPoint&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00313"></a><span class="lineno"> 313</span>&#160; <span class="keywordtype">bool</span> operator&lt;(<span class="keyword">const</span> ON_3fPoint&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00314"></a><span class="lineno"> 314</span>&#160; <span class="keywordtype">bool</span> operator&gt;(<span class="keyword">const</span> ON_3fPoint&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00315"></a><span class="lineno"> 315</span>&#160;</div><div class="line"><a name="l00316"></a><span class="lineno"> 316</span>&#160; <span class="comment">// index operators mimic float[3] behavior</span></div><div class="line"><a name="l00317"></a><span class="lineno"> 317</span>&#160; <span class="keywordtype">float</span>&amp; operator[](<span class="keywordtype">int</span>);</div><div class="line"><a name="l00318"></a><span class="lineno"> 318</span>&#160; <span class="keywordtype">float</span> operator[](<span class="keywordtype">int</span>) <span class="keyword">const</span>;</div><div class="line"><a name="l00319"></a><span class="lineno"> 319</span>&#160; <span class="keywordtype">float</span>&amp; operator[](<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span>);</div><div class="line"><a name="l00320"></a><span class="lineno"> 320</span>&#160; <span class="keywordtype">float</span> operator[](<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span>) <span class="keyword">const</span>;</div><div class="line"><a name="l00321"></a><span class="lineno"> 321</span>&#160;</div><div class="line"><a name="l00322"></a><span class="lineno"> 322</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00323"></a><span class="lineno"> 323</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00324"></a><span class="lineno"> 324</span>&#160;<span class="comment"> False if any coordinate is ON_UNSET_FLOAT, ON_UNSET_POSITIVE_FLOAT, nan, or infinite.</span></div><div class="line"><a name="l00325"></a><span class="lineno"> 325</span>&#160;<span class="comment"> True, otherwise.</span></div><div class="line"><a name="l00326"></a><span class="lineno"> 326</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00327"></a><span class="lineno"> 327</span>&#160; <span class="keywordtype">bool</span> IsValid() <span class="keyword">const</span>;</div><div class="line"><a name="l00328"></a><span class="lineno"> 328</span>&#160; </div><div class="line"><a name="l00329"></a><span class="lineno"> 329</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00330"></a><span class="lineno"> 330</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00331"></a><span class="lineno"> 331</span>&#160;<span class="comment"> True if any coordinate is ON_UNSET_FLOAT or ON_UNSET_POSITIVE_FLOAT</span></div><div class="line"><a name="l00332"></a><span class="lineno"> 332</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00333"></a><span class="lineno"> 333</span>&#160; <span class="keywordtype">bool</span> IsUnset() <span class="keyword">const</span>;</div><div class="line"><a name="l00334"></a><span class="lineno"> 334</span>&#160;</div><div class="line"><a name="l00335"></a><span class="lineno"> 335</span>&#160; <span class="comment">// set 3d point value</span></div><div class="line"><a name="l00336"></a><span class="lineno"> 336</span>&#160; <span class="keywordtype">void</span> Set(<span class="keywordtype">float</span>,<span class="keywordtype">float</span>,<span class="keywordtype">float</span>);</div><div class="line"><a name="l00337"></a><span class="lineno"> 337</span>&#160;</div><div class="line"><a name="l00338"></a><span class="lineno"> 338</span>&#160; <span class="keywordtype">double</span> DistanceTo( <span class="keyword">const</span> ON_3fPoint&amp; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00339"></a><span class="lineno"> 339</span>&#160;</div><div class="line"><a name="l00340"></a><span class="lineno"> 340</span>&#160; <span class="keywordtype">int</span> MaximumCoordinateIndex() <span class="keyword">const</span>;</div><div class="line"><a name="l00341"></a><span class="lineno"> 341</span>&#160; <span class="keywordtype">double</span> MaximumCoordinate() <span class="keyword">const</span>; <span class="comment">// absolute value of maximum coordinate</span></div><div class="line"><a name="l00342"></a><span class="lineno"> 342</span>&#160; <span class="keywordtype">double</span> Fuzz( <span class="keywordtype">double</span> = ON_ZERO_TOLERANCE ) <span class="keyword">const</span>; <span class="comment">// tolerance to use when comparing 3d points</span></div><div class="line"><a name="l00343"></a><span class="lineno"> 343</span>&#160;</div><div class="line"><a name="l00344"></a><span class="lineno"> 344</span>&#160; ON_DEPRECATED_MSG(<span class="stringliteral">&quot;Use p = ON_3fPoint::Origin;&quot;</span>)</div><div class="line"><a name="l00345"></a><span class="lineno"> 345</span>&#160; void Zero(); <span class="comment">// set all coordinates to zero;</span></div><div class="line"><a name="l00346"></a><span class="lineno"> 346</span>&#160;</div><div class="line"><a name="l00347"></a><span class="lineno"> 347</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00348"></a><span class="lineno"> 348</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00349"></a><span class="lineno"> 349</span>&#160;<span class="comment"> true if all coordinates are not zero and no coordinates are nans.</span></div><div class="line"><a name="l00350"></a><span class="lineno"> 350</span>&#160;<span class="comment"> false otherwise.</span></div><div class="line"><a name="l00351"></a><span class="lineno"> 351</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00352"></a><span class="lineno"> 352</span>&#160; <span class="keywordtype">bool</span> IsZero() const;</div><div class="line"><a name="l00353"></a><span class="lineno"> 353</span>&#160;</div><div class="line"><a name="l00354"></a><span class="lineno"> 354</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00355"></a><span class="lineno"> 355</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00356"></a><span class="lineno"> 356</span>&#160;<span class="comment"> true if at lease one coordinate is not zero and no coordinates are nans.</span></div><div class="line"><a name="l00357"></a><span class="lineno"> 357</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00358"></a><span class="lineno"> 358</span>&#160; <span class="keywordtype">bool</span> IsNotZero() const;</div><div class="line"><a name="l00359"></a><span class="lineno"> 359</span>&#160;</div><div class="line"><a name="l00360"></a><span class="lineno"> 360</span>&#160; <span class="comment">// These transform the point in place. The transformation matrix acts on</span></div><div class="line"><a name="l00361"></a><span class="lineno"> 361</span>&#160; <span class="comment">// the left of the point; i.e., result = transformation*point</span></div><div class="line"><a name="l00362"></a><span class="lineno"> 362</span>&#160; <span class="keywordtype">void</span> Transform( </div><div class="line"><a name="l00363"></a><span class="lineno"> 363</span>&#160; const ON_Xform&amp;</div><div class="line"><a name="l00364"></a><span class="lineno"> 364</span>&#160; );</div><div class="line"><a name="l00365"></a><span class="lineno"> 365</span>&#160;</div><div class="line"><a name="l00366"></a><span class="lineno"> 366</span>&#160; <span class="keywordtype">void</span> Rotate( </div><div class="line"><a name="l00367"></a><span class="lineno"> 367</span>&#160; <span class="keywordtype">double</span>, <span class="comment">// angle in radians</span></div><div class="line"><a name="l00368"></a><span class="lineno"> 368</span>&#160; const <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp;, <span class="comment">// axis of rotation</span></div><div class="line"><a name="l00369"></a><span class="lineno"> 369</span>&#160; const ON_3fPoint&amp; <span class="comment">// center of rotation</span></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;</div><div class="line"><a name="l00372"></a><span class="lineno"> 372</span>&#160; <span class="keywordtype">void</span> Rotate( </div><div class="line"><a name="l00373"></a><span class="lineno"> 373</span>&#160; <span class="keywordtype">double</span>, <span class="comment">// sin(angle)</span></div><div class="line"><a name="l00374"></a><span class="lineno"> 374</span>&#160; <span class="keywordtype">double</span>, <span class="comment">// cos(angle)</span></div><div class="line"><a name="l00375"></a><span class="lineno"> 375</span>&#160; const ON_3fVector&amp;, <span class="comment">// axis of rotation</span></div><div class="line"><a name="l00376"></a><span class="lineno"> 376</span>&#160; const ON_3fPoint&amp; <span class="comment">// center of rotation</span></div><div class="line"><a name="l00377"></a><span class="lineno"> 377</span>&#160; );</div><div class="line"><a name="l00378"></a><span class="lineno"> 378</span>&#160;</div><div class="line"><a name="l00379"></a><span class="lineno"> 379</span>&#160; ON__UINT32 DataCRC(ON__UINT32 current_remainder) const;</div><div class="line"><a name="l00380"></a><span class="lineno"> 380</span>&#160;};</div><div class="line"><a name="l00381"></a><span class="lineno"> 381</span>&#160;</div><div class="line"><a name="l00382"></a><span class="lineno"> 382</span>&#160;ON_DECL</div><div class="line"><a name="l00383"></a><span class="lineno"> 383</span>&#160;ON_3fPoint operator*(<span class="keywordtype">int</span>, const ON_3fPoint&amp;);</div><div class="line"><a name="l00384"></a><span class="lineno"> 384</span>&#160;</div><div class="line"><a name="l00385"></a><span class="lineno"><a class="line" href="../../db/d8c/class_o_n__4f_point.html"> 385</a></span>&#160;ON_DECL</div><div class="line"><a name="l00386"></a><span class="lineno"> 386</span>&#160;ON_3fPoint operator*(<span class="keywordtype">float</span>, const ON_3fPoint&amp;);</div><div class="line"><a name="l00387"></a><span class="lineno"> 387</span>&#160;</div><div class="line"><a name="l00388"></a><span class="lineno"><a class="line" href="../../db/d8c/class_o_n__4f_point.html#a2ed87d501a404f675ae7ba68eccadaed"> 388</a></span>&#160;ON_DECL</div><div class="line"><a name="l00389"></a><span class="lineno"> 389</span>&#160;<a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> operator*(<span class="keywordtype">double</span>, const ON_3fPoint&amp;);</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">////////////////////////////////////////////////////////////////</span></div><div class="line"><a name="l00392"></a><span class="lineno"> 392</span>&#160;<span class="comment"></span><span class="comment">//</span></div><div class="line"><a name="l00393"></a><span class="lineno"> 393</span>&#160;<span class="comment">// ON_4fPoint (homogeneous coordinates)</span></div><div class="line"><a name="l00394"></a><span class="lineno"> 394</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00395"></a><span class="lineno"> 395</span>&#160;class ON_CLASS <a class="code" href="../../db/d8c/class_o_n__4f_point.html">ON_4fPoint</a></div><div class="line"><a name="l00396"></a><span class="lineno"> 396</span>&#160;{</div><div class="line"><a name="l00397"></a><span class="lineno"> 397</span>&#160;<span class="keyword">public</span>:</div><div class="line"><a name="l00398"></a><span class="lineno"> 398</span>&#160; <span class="keywordtype">float</span> x, y, z, w;</div><div class="line"><a name="l00399"></a><span class="lineno"> 399</span>&#160;</div><div class="line"><a name="l00400"></a><span class="lineno"> 400</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00401"></a><span class="lineno"> 401</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00402"></a><span class="lineno"> 402</span>&#160;<span class="comment"> ON_UNSET_VALUE, if x or w is ON_UNSET_VALUE or ON_UNSET_POSITIVE_VALUE</span></div><div class="line"><a name="l00403"></a><span class="lineno"> 403</span>&#160;<span class="comment"> and neither x nor w is a nan.</span></div><div class="line"><a name="l00404"></a><span class="lineno"> 404</span>&#160;<span class="comment"> x/w, otherwise</span></div><div class="line"><a name="l00405"></a><span class="lineno"> 405</span>&#160;<span class="comment"> Remarks:</span></div><div class="line"><a name="l00406"></a><span class="lineno"> 406</span>&#160;<span class="comment"> If w is 0.0 or nan, the result will be a nan.</span></div><div class="line"><a name="l00407"></a><span class="lineno"> 407</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00408"></a><span class="lineno"> 408</span>&#160; <span class="keywordtype">float</span> EuclideanX() <span class="keyword">const</span>;</div><div class="line"><a name="l00409"></a><span class="lineno"> 409</span>&#160;</div><div class="line"><a name="l00410"></a><span class="lineno"> 410</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00411"></a><span class="lineno"> 411</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00412"></a><span class="lineno"> 412</span>&#160;<span class="comment"> ON_UNSET_VALUE, if y or w is ON_UNSET_VALUE or ON_UNSET_POSITIVE_VALUE</span></div><div class="line"><a name="l00413"></a><span class="lineno"> 413</span>&#160;<span class="comment"> and neither y nor w is a nan.</span></div><div class="line"><a name="l00414"></a><span class="lineno"> 414</span>&#160;<span class="comment"> y/w, otherwise</span></div><div class="line"><a name="l00415"></a><span class="lineno"> 415</span>&#160;<span class="comment"> Remarks:</span></div><div class="line"><a name="l00416"></a><span class="lineno"> 416</span>&#160;<span class="comment"> If w is 0.0 or nan, the result will be a nan.</span></div><div class="line"><a name="l00417"></a><span class="lineno"> 417</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00418"></a><span class="lineno"> 418</span>&#160; <span class="keywordtype">float</span> EuclideanY() <span class="keyword">const</span>;</div><div class="line"><a name="l00419"></a><span class="lineno"> 419</span>&#160;</div><div class="line"><a name="l00420"></a><span class="lineno"> 420</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00421"></a><span class="lineno"> 421</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00422"></a><span class="lineno"> 422</span>&#160;<span class="comment"> ON_UNSET_VALUE, if z or w is ON_UNSET_VALUE or ON_UNSET_POSITIVE_VALUE</span></div><div class="line"><a name="l00423"></a><span class="lineno"> 423</span>&#160;<span class="comment"> and neither z nor w is a nan.</span></div><div class="line"><a name="l00424"></a><span class="lineno"> 424</span>&#160;<span class="comment"> z/w, otherwise</span></div><div class="line"><a name="l00425"></a><span class="lineno"> 425</span>&#160;<span class="comment"> Remarks:</span></div><div class="line"><a name="l00426"></a><span class="lineno"> 426</span>&#160;<span class="comment"> If w is 0.0 or nan, the result will be a nan.</span></div><div class="line"><a name="l00427"></a><span class="lineno"> 427</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00428"></a><span class="lineno"><a class="line" href="../../db/d8c/class_o_n__4f_point.html#afa58267eea436f5e190fc367c88fb515"> 428</a></span>&#160; <span class="keywordtype">float</span> EuclideanZ() <span class="keyword">const</span>;</div><div class="line"><a name="l00429"></a><span class="lineno"><a class="line" href="../../db/d8c/class_o_n__4f_point.html#a20fb7be0eb03b28d218502b5a926083a"> 429</a></span>&#160;</div><div class="line"><a name="l00430"></a><span class="lineno"> 430</span>&#160;<span class="keyword">public</span>:</div><div class="line"><a name="l00431"></a><span class="lineno"> 431</span>&#160; <span class="comment">// x,y,z,w not initialized</span></div><div class="line"><a name="l00432"></a><span class="lineno"> 432</span>&#160; ON_4fPoint() = <span class="keywordflow">default</span>;</div><div class="line"><a name="l00433"></a><span class="lineno"> 433</span>&#160; ~ON_4fPoint() = <span class="keywordflow">default</span>;</div><div class="line"><a name="l00434"></a><span class="lineno"> 434</span>&#160; ON_4fPoint(<span class="keyword">const</span> ON_4fPoint&amp;) = <span class="keywordflow">default</span>;</div><div class="line"><a name="l00435"></a><span class="lineno"> 435</span>&#160; ON_4fPoint&amp; operator=(<span class="keyword">const</span> ON_4fPoint&amp;) = <span class="keywordflow">default</span>;</div><div class="line"><a name="l00436"></a><span class="lineno"> 436</span>&#160;</div><div class="line"><a name="l00437"></a><span class="lineno"> 437</span>&#160;<span class="keyword">public</span>:</div><div class="line"><a name="l00438"></a><span class="lineno"> 438</span>&#160; <span class="keyword">static</span> <span class="keyword">const</span> ON_4fPoint Zero; <span class="comment">// (0,0,0,0)</span></div><div class="line"><a name="l00439"></a><span class="lineno"> 439</span>&#160; <span class="keyword">static</span> <span class="keyword">const</span> ON_4fPoint Nan; <span class="comment">// (ON_FLT_QNAN,ON_FLT_QNAN,ON_FLT_QNAN,ON_FLT_QNAN)</span></div><div class="line"><a name="l00440"></a><span class="lineno"> 440</span>&#160;</div><div class="line"><a name="l00441"></a><span class="lineno"> 441</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00442"></a><span class="lineno"> 442</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00443"></a><span class="lineno"> 443</span>&#160;<span class="comment"> A well ordered projective compare function that is nan aware and can</span></div><div class="line"><a name="l00444"></a><span class="lineno"> 444</span>&#160;<span class="comment"> be used for robust sorting.</span></div><div class="line"><a name="l00445"></a><span class="lineno"> 445</span>&#160;<span class="comment"> Remarks:</span></div><div class="line"><a name="l00446"></a><span class="lineno"> 446</span>&#160;<span class="comment"> float c = non-nan value.</span></div><div class="line"><a name="l00447"></a><span class="lineno"> 447</span>&#160;<span class="comment"> ON_4fPoint h0 = ...;</span></div><div class="line"><a name="l00448"></a><span class="lineno"> 448</span>&#160;<span class="comment"> ON_4fPoint h1(c*h0.x,c*h0.x,c*h0.x,c*h0.x);</span></div><div class="line"><a name="l00449"></a><span class="lineno"> 449</span>&#160;<span class="comment"> 0 == ON_4fPoint::ProjectiveCompare(h0,ha);</span></div><div class="line"><a name="l00450"></a><span class="lineno"> 450</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00451"></a><span class="lineno"> 451</span>&#160; <span class="keyword">static</span> <span class="keywordtype">int</span> ProjectiveCompare(</div><div class="line"><a name="l00452"></a><span class="lineno"> 452</span>&#160; <span class="keyword">const</span> ON_4fPoint&amp; lhs,</div><div class="line"><a name="l00453"></a><span class="lineno"> 453</span>&#160; <span class="keyword">const</span> ON_4fPoint&amp; rhs</div><div class="line"><a name="l00454"></a><span class="lineno"> 454</span>&#160; );</div><div class="line"><a name="l00455"></a><span class="lineno"> 455</span>&#160;</div><div class="line"><a name="l00456"></a><span class="lineno"> 456</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00457"></a><span class="lineno"> 457</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00458"></a><span class="lineno"> 458</span>&#160;<span class="comment"> A well ordered dictionary compare function that is nan aware and can</span></div><div class="line"><a name="l00459"></a><span class="lineno"> 459</span>&#160;<span class="comment"> be used for robust sorting.</span></div><div class="line"><a name="l00460"></a><span class="lineno"> 460</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00461"></a><span class="lineno"> 461</span>&#160; <span class="keyword">static</span> <span class="keywordtype">int</span> DictionaryCompare(</div><div class="line"><a name="l00462"></a><span class="lineno"> 462</span>&#160; <span class="keyword">const</span> ON_4fPoint&amp; lhs,</div><div class="line"><a name="l00463"></a><span class="lineno"> 463</span>&#160; <span class="keyword">const</span> ON_4fPoint&amp; rhs</div><div class="line"><a name="l00464"></a><span class="lineno"> 464</span>&#160; );</div><div class="line"><a name="l00465"></a><span class="lineno"> 465</span>&#160;</div><div class="line"><a name="l00466"></a><span class="lineno"> 466</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00467"></a><span class="lineno"> 467</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00468"></a><span class="lineno"> 468</span>&#160;<span class="comment"> True if (lhs.x == rhs.x &amp;&amp; lhs.y == rhs.y &amp;&amp; lhs.z == rhs.z &amp;&amp; lhs.w == rhs.w).</span></div><div class="line"><a name="l00469"></a><span class="lineno"> 469</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00470"></a><span class="lineno"> 470</span>&#160; <span class="keywordtype">bool</span> operator==(<span class="keyword">const</span> ON_4fPoint&amp; rhs) <span class="keyword">const</span>;</div><div class="line"><a name="l00471"></a><span class="lineno"> 471</span>&#160;</div><div class="line"><a name="l00472"></a><span class="lineno"> 472</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00473"></a><span class="lineno"> 473</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00474"></a><span class="lineno"> 474</span>&#160;<span class="comment"> True if lhs.* != rhs.* for some coordinate and no values are nans.</span></div><div class="line"><a name="l00475"></a><span class="lineno"> 475</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00476"></a><span class="lineno"> 476</span>&#160; <span class="keywordtype">bool</span> operator!=(<span class="keyword">const</span> ON_4fPoint&amp; rhs) <span class="keyword">const</span>;</div><div class="line"><a name="l00477"></a><span class="lineno"> 477</span>&#160;</div><div class="line"><a name="l00478"></a><span class="lineno"> 478</span>&#160; <span class="keyword">explicit</span> ON_4fPoint(<span class="keywordtype">float</span> x,<span class="keywordtype">float</span> y,<span class="keywordtype">float</span> z,<span class="keywordtype">float</span> w);</div><div class="line"><a name="l00479"></a><span class="lineno"> 479</span>&#160;</div><div class="line"><a name="l00480"></a><span class="lineno"> 480</span>&#160; ON_4fPoint(<span class="keyword">const</span> ON_2fPoint&amp; ); <span class="comment">// from 2f point</span></div><div class="line"><a name="l00481"></a><span class="lineno"> 481</span>&#160; ON_4fPoint(<span class="keyword">const</span> ON_3fPoint&amp; ); <span class="comment">// from 3f point</span></div><div class="line"><a name="l00482"></a><span class="lineno"> 482</span>&#160; ON_4fPoint(<span class="keyword">const</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp; ); <span class="comment">// from 2f vector</span></div><div class="line"><a name="l00483"></a><span class="lineno"> 483</span>&#160; ON_4fPoint(<span class="keyword">const</span> ON_3fVector&amp; ); <span class="comment">// from 3f vector</span></div><div class="line"><a name="l00484"></a><span class="lineno"> 484</span>&#160;</div><div class="line"><a name="l00485"></a><span class="lineno"> 485</span>&#160; <span class="comment">// Require explicit construction when dev must insure array has length &gt;= 4.</span></div><div class="line"><a name="l00486"></a><span class="lineno"> 486</span>&#160; <span class="keyword">explicit</span> ON_4fPoint(<span class="keyword">const</span> <span class="keywordtype">float</span>*); <span class="comment">// from float[4] array</span></div><div class="line"><a name="l00487"></a><span class="lineno"> 487</span>&#160;</div><div class="line"><a name="l00488"></a><span class="lineno"> 488</span>&#160; <span class="comment">// Require explicit construction when loosing precision</span></div><div class="line"><a name="l00489"></a><span class="lineno"> 489</span>&#160; <span class="keyword">explicit</span> ON_4fPoint(<span class="keyword">const</span> <a class="code" href="../../dd/dd9/class_o_n__2d_point.html">ON_2dPoint</a>&amp; ); <span class="comment">// from 2d point</span></div><div class="line"><a name="l00490"></a><span class="lineno"> 490</span>&#160; <span class="keyword">explicit</span> ON_4fPoint(<span class="keyword">const</span> <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&amp; ); <span class="comment">// from 3d point</span></div><div class="line"><a name="l00491"></a><span class="lineno"> 491</span>&#160; <span class="keyword">explicit</span> ON_4fPoint(<span class="keyword">const</span> <a class="code" href="../../d9/db1/class_o_n__4d_point.html">ON_4dPoint</a>&amp; ); <span class="comment">// from 4d point</span></div><div class="line"><a name="l00492"></a><span class="lineno"> 492</span>&#160; <span class="keyword">explicit</span> ON_4fPoint(<span class="keyword">const</span> <a class="code" href="../../da/d08/class_o_n__2d_vector.html">ON_2dVector</a>&amp; ); <span class="comment">// from 2d vector</span></div><div class="line"><a name="l00493"></a><span class="lineno"> 493</span>&#160; <span class="keyword">explicit</span> ON_4fPoint(<span class="keyword">const</span> <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp; ); <span class="comment">// from 3d vector</span></div><div class="line"><a name="l00494"></a><span class="lineno"> 494</span>&#160; <span class="keyword">explicit</span> ON_4fPoint(<span class="keyword">const</span> <span class="keywordtype">double</span>*); <span class="comment">// from double[4] array</span></div><div class="line"><a name="l00495"></a><span class="lineno"> 495</span>&#160;</div><div class="line"><a name="l00496"></a><span class="lineno"> 496</span>&#160; <span class="comment">// (float*) conversion operators</span></div><div class="line"><a name="l00497"></a><span class="lineno"> 497</span>&#160; <span class="keyword">operator</span> <span class="keywordtype">float</span>*();</div><div class="line"><a name="l00498"></a><span class="lineno"> 498</span>&#160; <span class="keyword">operator</span> <span class="keyword">const</span> <span class="keywordtype">float</span>*() <span class="keyword">const</span>;</div><div class="line"><a name="l00499"></a><span class="lineno"> 499</span>&#160;</div><div class="line"><a name="l00500"></a><span class="lineno"> 500</span>&#160; <span class="comment">// use implicit operator=(const ON_4fPoint&amp;)</span></div><div class="line"><a name="l00501"></a><span class="lineno"> 501</span>&#160; ON_4fPoint&amp; operator=(<span class="keyword">const</span> ON_2fPoint&amp;);</div><div class="line"><a name="l00502"></a><span class="lineno"> 502</span>&#160; ON_4fPoint&amp; operator=(<span class="keyword">const</span> ON_3fPoint&amp;);</div><div class="line"><a name="l00503"></a><span class="lineno"> 503</span>&#160; ON_4fPoint&amp; operator=(<span class="keyword">const</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp;);</div><div class="line"><a name="l00504"></a><span class="lineno"> 504</span>&#160; ON_4fPoint&amp; operator=(<span class="keyword">const</span> ON_3fVector&amp;);</div><div class="line"><a name="l00505"></a><span class="lineno"> 505</span>&#160; ON_4fPoint&amp; operator=(<span class="keyword">const</span> <span class="keywordtype">float</span>*); <span class="comment">// point = float[4] support</span></div><div class="line"><a name="l00506"></a><span class="lineno"> 506</span>&#160;</div><div class="line"><a name="l00507"></a><span class="lineno"> 507</span>&#160; ON_4fPoint&amp; operator=(<span class="keyword">const</span> <a class="code" href="../../dd/dd9/class_o_n__2d_point.html">ON_2dPoint</a>&amp;);</div><div class="line"><a name="l00508"></a><span class="lineno"> 508</span>&#160; ON_4fPoint&amp; operator=(<span class="keyword">const</span> <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&amp;);</div><div class="line"><a name="l00509"></a><span class="lineno"> 509</span>&#160; ON_4fPoint&amp; operator=(<span class="keyword">const</span> <a class="code" href="../../d9/db1/class_o_n__4d_point.html">ON_4dPoint</a>&amp;);</div><div class="line"><a name="l00510"></a><span class="lineno"> 510</span>&#160; ON_4fPoint&amp; operator=(<span class="keyword">const</span> <a class="code" href="../../da/d08/class_o_n__2d_vector.html">ON_2dVector</a>&amp;);</div><div class="line"><a name="l00511"></a><span class="lineno"> 511</span>&#160; ON_4fPoint&amp; operator=(<span class="keyword">const</span> <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp;);</div><div class="line"><a name="l00512"></a><span class="lineno"> 512</span>&#160; ON_4fPoint&amp; operator=(<span class="keyword">const</span> <span class="keywordtype">double</span>*); <span class="comment">// point = double[4] support</span></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; ON_4fPoint&amp; operator*=(<span class="keywordtype">float</span>);</div><div class="line"><a name="l00515"></a><span class="lineno"> 515</span>&#160; ON_4fPoint&amp; operator/=(<span class="keywordtype">float</span>);</div><div class="line"><a name="l00516"></a><span class="lineno"> 516</span>&#160; ON_4fPoint&amp; operator+=(<span class="keyword">const</span> ON_4fPoint&amp;);</div><div class="line"><a name="l00517"></a><span class="lineno"> 517</span>&#160; ON_4fPoint&amp; operator-=(<span class="keyword">const</span> ON_4fPoint&amp;);</div><div class="line"><a name="l00518"></a><span class="lineno"> 518</span>&#160;</div><div class="line"><a name="l00519"></a><span class="lineno"> 519</span>&#160; ON_4fPoint operator*(<span class="keywordtype">float</span>) <span class="keyword">const</span>;</div><div class="line"><a name="l00520"></a><span class="lineno"> 520</span>&#160; ON_4fPoint operator/(<span class="keywordtype">float</span>) <span class="keyword">const</span>;</div><div class="line"><a name="l00521"></a><span class="lineno"> 521</span>&#160; ON_4fPoint operator+(<span class="keyword">const</span> ON_4fPoint&amp;) <span class="keyword">const</span>; <span class="comment">// sum w = sqrt(w1*w2)</span></div><div class="line"><a name="l00522"></a><span class="lineno"> 522</span>&#160; ON_4fPoint operator-(<span class="keyword">const</span> ON_4fPoint&amp;) <span class="keyword">const</span>; <span class="comment">// difference w = sqrt(w1*w2)</span></div><div class="line"><a name="l00523"></a><span class="lineno"> 523</span>&#160;</div><div class="line"><a name="l00524"></a><span class="lineno"> 524</span>&#160;<span class="keyword">public</span>:</div><div class="line"><a name="l00525"></a><span class="lineno"> 525</span>&#160; <span class="comment">// index operators mimic float[4] behavior</span></div><div class="line"><a name="l00526"></a><span class="lineno"> 526</span>&#160; <span class="keywordtype">float</span>&amp; operator[](<span class="keywordtype">int</span>);</div><div class="line"><a name="l00527"></a><span class="lineno"> 527</span>&#160; <span class="keywordtype">float</span> operator[](<span class="keywordtype">int</span>) <span class="keyword">const</span>;</div><div class="line"><a name="l00528"></a><span class="lineno"> 528</span>&#160; <span class="keywordtype">float</span>&amp; operator[](<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span>);</div><div class="line"><a name="l00529"></a><span class="lineno"> 529</span>&#160; <span class="keywordtype">float</span> operator[](<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span>) <span class="keyword">const</span>;</div><div class="line"><a name="l00530"></a><span class="lineno"> 530</span>&#160;</div><div class="line"><a name="l00531"></a><span class="lineno"> 531</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00532"></a><span class="lineno"> 532</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00533"></a><span class="lineno"> 533</span>&#160;<span class="comment"> False if any coordinate is ON_UNSET_FLOAT, ON_UNSET_POSITIVE_FLOAT, nan, or infinite.</span></div><div class="line"><a name="l00534"></a><span class="lineno"> 534</span>&#160;<span class="comment"> True, otherwise.</span></div><div class="line"><a name="l00535"></a><span class="lineno"> 535</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00536"></a><span class="lineno"> 536</span>&#160; <span class="keywordtype">bool</span> IsValid() <span class="keyword">const</span>;</div><div class="line"><a name="l00537"></a><span class="lineno"> 537</span>&#160; </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"> Returns:</span></div><div class="line"><a name="l00540"></a><span class="lineno"> 540</span>&#160;<span class="comment"> True if any coordinate is ON_UNSET_FLOAT or ON_UNSET_POSITIVE_FLOAT</span></div><div class="line"><a name="l00541"></a><span class="lineno"> 541</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00542"></a><span class="lineno"> 542</span>&#160; <span class="keywordtype">bool</span> IsUnset() <span class="keyword">const</span>;</div><div class="line"><a name="l00543"></a><span class="lineno"> 543</span>&#160;</div><div class="line"><a name="l00544"></a><span class="lineno"> 544</span>&#160; <span class="comment">// set 4d point value</span></div><div class="line"><a name="l00545"></a><span class="lineno"> 545</span>&#160; <span class="keywordtype">void</span> Set(<span class="keywordtype">float</span>,<span class="keywordtype">float</span>,<span class="keywordtype">float</span>,<span class="keywordtype">float</span>);</div><div class="line"><a name="l00546"></a><span class="lineno"> 546</span>&#160;</div><div class="line"><a name="l00547"></a><span class="lineno"> 547</span>&#160; <span class="keywordtype">int</span> MaximumCoordinateIndex() <span class="keyword">const</span>;</div><div class="line"><a name="l00548"></a><span class="lineno"> 548</span>&#160; <span class="keywordtype">double</span> MaximumCoordinate() <span class="keyword">const</span>; <span class="comment">// absolute value of maximum coordinate</span></div><div class="line"><a name="l00549"></a><span class="lineno"> 549</span>&#160;</div><div class="line"><a name="l00550"></a><span class="lineno"> 550</span>&#160; <span class="keywordtype">bool</span> Normalize(); <span class="comment">// set so x^2 + y^2 + z^2 + w^2 = 1</span></div><div class="line"><a name="l00551"></a><span class="lineno"> 551</span>&#160;</div><div class="line"><a name="l00552"></a><span class="lineno"> 552</span>&#160; <span class="comment">// These transform the point in place. The transformation matrix acts on</span></div><div class="line"><a name="l00553"></a><span class="lineno"> 553</span>&#160; <span class="comment">// the left of the point; i.e., result = transformation*point</span></div><div class="line"><a name="l00554"></a><span class="lineno"> 554</span>&#160; <span class="keywordtype">void</span> Transform( </div><div class="line"><a name="l00555"></a><span class="lineno"> 555</span>&#160; <span class="keyword">const</span> ON_Xform&amp;</div><div class="line"><a name="l00556"></a><span class="lineno"><a class="line" href="../../db/df9/class_o_n__2f_vector.html"> 556</a></span>&#160; );</div><div class="line"><a name="l00557"></a><span class="lineno"> 557</span>&#160;</div><div class="line"><a name="l00558"></a><span class="lineno"> 558</span>&#160; ON__UINT32 DataCRC(ON__UINT32 current_remainder) <span class="keyword">const</span>;</div><div class="line"><a name="l00559"></a><span class="lineno"><a class="line" href="../../db/df9/class_o_n__2f_vector.html#aa45982f05d60f3150c3c11a7febbf441"> 559</a></span>&#160;};</div><div class="line"><a name="l00560"></a><span class="lineno"> 560</span>&#160;</div><div class="line"><a name="l00561"></a><span class="lineno"> 561</span>&#160;ON_DECL</div><div class="line"><a name="l00562"></a><span class="lineno"> 562</span>&#160;<a class="code" href="../../db/d8c/class_o_n__4f_point.html">ON_4fPoint</a> operator*(<span class="keywordtype">float</span>, <span class="keyword">const</span> <a class="code" href="../../db/d8c/class_o_n__4f_point.html">ON_4fPoint</a>&amp;);</div><div class="line"><a name="l00563"></a><span class="lineno"> 563</span>&#160;</div><div class="line"><a name="l00564"></a><span class="lineno"> 564</span>&#160;ON_DECL</div><div class="line"><a name="l00565"></a><span class="lineno"> 565</span>&#160;<a class="code" href="../../d9/db1/class_o_n__4d_point.html">ON_4dPoint</a> operator*(<span class="keywordtype">double</span>, <span class="keyword">const</span> <a class="code" href="../../db/d8c/class_o_n__4f_point.html">ON_4fPoint</a>&amp;);</div><div class="line"><a name="l00566"></a><span class="lineno"> 566</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00567"></a><span class="lineno"> 567</span>&#160;<span class="comment">////////////////////////////////////////////////////////////////</span></div><div class="line"><a name="l00568"></a><span class="lineno"> 568</span>&#160;<span class="comment"></span><span class="comment">//</span></div><div class="line"><a name="l00569"></a><span class="lineno"><a class="line" href="../../db/df9/class_o_n__2f_vector.html#a2691540bf722b22f919f09f31dbe0412"> 569</a></span>&#160;<span class="comment">// ON_2fVector</span></div><div class="line"><a name="l00570"></a><span class="lineno"><a class="line" href="../../db/df9/class_o_n__2f_vector.html#a12a4e68b3c460df37777ada90941cc06"> 570</a></span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00571"></a><span class="lineno"><a class="line" href="../../db/df9/class_o_n__2f_vector.html#a3fdd6f274734ba19352ab4cb3a4db1c8"> 571</a></span>&#160;<span class="keyword">class </span>ON_CLASS <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a></div><div class="line"><a name="l00572"></a><span class="lineno"><a class="line" href="../../db/df9/class_o_n__2f_vector.html#a8a9009f4e1a8216bd7f6a27881433113"> 572</a></span>&#160;{</div><div class="line"><a name="l00573"></a><span class="lineno"> 573</span>&#160;<span class="keyword">public</span>:</div><div class="line"><a name="l00574"></a><span class="lineno"> 574</span>&#160; <span class="keywordtype">float</span> x, y;</div><div class="line"><a name="l00575"></a><span class="lineno"> 575</span>&#160;</div><div class="line"><a name="l00576"></a><span class="lineno"> 576</span>&#160;<span class="keyword">public</span>:</div><div class="line"><a name="l00577"></a><span class="lineno"> 577</span>&#160; <span class="comment">// x,y not initialized</span></div><div class="line"><a name="l00578"></a><span class="lineno"> 578</span>&#160; <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>() = <span class="keywordflow">default</span>;</div><div class="line"><a name="l00579"></a><span class="lineno"> 579</span>&#160; ~<a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>() = <span class="keywordflow">default</span>;</div><div class="line"><a name="l00580"></a><span class="lineno"> 580</span>&#160; <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>(<span class="keyword">const</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp;) = <span class="keywordflow">default</span>;</div><div class="line"><a name="l00581"></a><span class="lineno"> 581</span>&#160; <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp; operator=(<span class="keyword">const</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp;) = <span class="keywordflow">default</span>;</div><div class="line"><a name="l00582"></a><span class="lineno"> 582</span>&#160;</div><div class="line"><a name="l00583"></a><span class="lineno"> 583</span>&#160;<span class="keyword">public</span>:</div><div class="line"><a name="l00584"></a><span class="lineno"> 584</span>&#160; <span class="keyword">static</span> <span class="keyword">const</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a> NanVector; <span class="comment">// (ON_FLT_QNAN,ON_FLT_QNAN)</span></div><div class="line"><a name="l00585"></a><span class="lineno"> 585</span>&#160; <span class="keyword">static</span> <span class="keyword">const</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a> ZeroVector; <span class="comment">// (0.0f,0.0f)</span></div><div class="line"><a name="l00586"></a><span class="lineno"> 586</span>&#160; <span class="keyword">static</span> <span class="keyword">const</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a> XAxis; <span class="comment">// (1.0f,0.0f)</span></div><div class="line"><a name="l00587"></a><span class="lineno"> 587</span>&#160; <span class="keyword">static</span> <span class="keyword">const</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a> YAxis; <span class="comment">// (0.0f,1.0f)</span></div><div class="line"><a name="l00588"></a><span class="lineno"> 588</span>&#160;</div><div class="line"><a name="l00589"></a><span class="lineno"> 589</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00590"></a><span class="lineno"> 590</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00591"></a><span class="lineno"> 591</span>&#160;<span class="comment"> A well ordered dictionary compare function that is nan aware and can</span></div><div class="line"><a name="l00592"></a><span class="lineno"> 592</span>&#160;<span class="comment"> be used for robust sorting.</span></div><div class="line"><a name="l00593"></a><span class="lineno"> 593</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00594"></a><span class="lineno"> 594</span>&#160; <span class="keyword">static</span> <span class="keywordtype">int</span> Compare(</div><div class="line"><a name="l00595"></a><span class="lineno"> 595</span>&#160; <span class="keyword">const</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp; lhs,</div><div class="line"><a name="l00596"></a><span class="lineno"> 596</span>&#160; <span class="keyword">const</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp; rhs</div><div class="line"><a name="l00597"></a><span class="lineno"> 597</span>&#160; );</div><div class="line"><a name="l00598"></a><span class="lineno"> 598</span>&#160;</div><div class="line"><a name="l00599"></a><span class="lineno"> 599</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00600"></a><span class="lineno"> 600</span>&#160; <span class="comment">// A index driven function to get unit axis vectors.</span></div><div class="line"><a name="l00601"></a><span class="lineno"> 601</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00602"></a><span class="lineno"> 602</span>&#160; <span class="comment">// index - [in] 0 returns (1,0), 1 returns (0,1)</span></div><div class="line"><a name="l00603"></a><span class="lineno"> 603</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00604"></a><span class="lineno"> 604</span>&#160; <span class="comment">// Unit 3d vector with vector[i] = (i==index)?1:0;</span></div><div class="line"><a name="l00605"></a><span class="lineno"> 605</span>&#160; <span class="keyword">static</span> <span class="keyword">const</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp; UnitVector(</div><div class="line"><a name="l00606"></a><span class="lineno"> 606</span>&#160; <span class="keywordtype">int</span> <span class="comment">// index</span></div><div class="line"><a name="l00607"></a><span class="lineno"> 607</span>&#160; );</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; <span class="keyword">explicit</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>(<span class="keywordtype">float</span> x,<span class="keywordtype">float</span> y);</div><div class="line"><a name="l00610"></a><span class="lineno"> 610</span>&#160; <span class="keyword">explicit</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>(<span class="keyword">const</span> ON_2fPoint&amp; ); <span class="comment">// from 2f point</span></div><div class="line"><a name="l00611"></a><span class="lineno"> 611</span>&#160; <span class="keyword">explicit</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>(<span class="keyword">const</span> ON_3fPoint&amp; ); <span class="comment">// from 3f point</span></div><div class="line"><a name="l00612"></a><span class="lineno"> 612</span>&#160; <span class="keyword">explicit</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>(<span class="keyword">const</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp; ); <span class="comment">// from 3f vector</span></div><div class="line"><a name="l00613"></a><span class="lineno"> 613</span>&#160; <span class="keyword">explicit</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>(<span class="keyword">const</span> <span class="keywordtype">float</span>*); <span class="comment">// from float[2] array</span></div><div class="line"><a name="l00614"></a><span class="lineno"> 614</span>&#160;</div><div class="line"><a name="l00615"></a><span class="lineno"> 615</span>&#160; <span class="keyword">explicit</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>(<span class="keyword">const</span> <a class="code" href="../../dd/dd9/class_o_n__2d_point.html">ON_2dPoint</a>&amp; ); <span class="comment">// from 2d point</span></div><div class="line"><a name="l00616"></a><span class="lineno"> 616</span>&#160; <span class="keyword">explicit</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>(<span class="keyword">const</span> <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&amp; ); <span class="comment">// from 3d point</span></div><div class="line"><a name="l00617"></a><span class="lineno"> 617</span>&#160; <span class="keyword">explicit</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>(<span class="keyword">const</span> <a class="code" href="../../da/d08/class_o_n__2d_vector.html">ON_2dVector</a>&amp; ); <span class="comment">// from 2d vector</span></div><div class="line"><a name="l00618"></a><span class="lineno"> 618</span>&#160; <span class="keyword">explicit</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>(<span class="keyword">const</span> <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp; ); <span class="comment">// from 3d vector</span></div><div class="line"><a name="l00619"></a><span class="lineno"> 619</span>&#160; <span class="keyword">explicit</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>(<span class="keyword">const</span> <span class="keywordtype">double</span>*); <span class="comment">// from double[2] array</span></div><div class="line"><a name="l00620"></a><span class="lineno"> 620</span>&#160;</div><div class="line"><a name="l00621"></a><span class="lineno"> 621</span>&#160; <span class="comment">// (float*) conversion operators</span></div><div class="line"><a name="l00622"></a><span class="lineno"> 622</span>&#160; <span class="keyword">operator</span> <span class="keywordtype">float</span>*();</div><div class="line"><a name="l00623"></a><span class="lineno"> 623</span>&#160; <span class="keyword">operator</span> <span class="keyword">const</span> <span class="keywordtype">float</span>*() <span class="keyword">const</span>;</div><div class="line"><a name="l00624"></a><span class="lineno"> 624</span>&#160;</div><div class="line"><a name="l00625"></a><span class="lineno"> 625</span>&#160; <span class="comment">// use implicit operator=(const ON_2fVector&amp;)</span></div><div class="line"><a name="l00626"></a><span class="lineno"> 626</span>&#160; <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp; operator=(<span class="keyword">const</span> ON_2fPoint&amp;);</div><div class="line"><a name="l00627"></a><span class="lineno"> 627</span>&#160; <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp; operator=(<span class="keyword">const</span> ON_3fPoint&amp;);</div><div class="line"><a name="l00628"></a><span class="lineno"> 628</span>&#160; <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp; operator=(<span class="keyword">const</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp;);</div><div class="line"><a name="l00629"></a><span class="lineno"> 629</span>&#160; <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp; operator=(<span class="keyword">const</span> <span class="keywordtype">float</span>*); <span class="comment">// point = float[2] support</span></div><div class="line"><a name="l00630"></a><span class="lineno"> 630</span>&#160;</div><div class="line"><a name="l00631"></a><span class="lineno"> 631</span>&#160; <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp; operator=(<span class="keyword">const</span> <a class="code" href="../../dd/dd9/class_o_n__2d_point.html">ON_2dPoint</a>&amp;);</div><div class="line"><a name="l00632"></a><span class="lineno"> 632</span>&#160; <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp; operator=(<span class="keyword">const</span> <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&amp;);</div><div class="line"><a name="l00633"></a><span class="lineno"> 633</span>&#160; <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp; operator=(<span class="keyword">const</span> <a class="code" href="../../da/d08/class_o_n__2d_vector.html">ON_2dVector</a>&amp;);</div><div class="line"><a name="l00634"></a><span class="lineno"> 634</span>&#160; <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp; operator=(<span class="keyword">const</span> <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp;);</div><div class="line"><a name="l00635"></a><span class="lineno"> 635</span>&#160; <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp; operator=(<span class="keyword">const</span> <span class="keywordtype">double</span>*); <span class="comment">// point = double[2] support</span></div><div class="line"><a name="l00636"></a><span class="lineno"> 636</span>&#160;</div><div class="line"><a name="l00637"></a><span class="lineno"> 637</span>&#160; <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a> operator-() <span class="keyword">const</span>;</div><div class="line"><a name="l00638"></a><span class="lineno"> 638</span>&#160;</div><div class="line"><a name="l00639"></a><span class="lineno"> 639</span>&#160; <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp; operator*=(<span class="keywordtype">float</span>);</div><div class="line"><a name="l00640"></a><span class="lineno"> 640</span>&#160; <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp; operator/=(<span class="keywordtype">float</span>);</div><div class="line"><a name="l00641"></a><span class="lineno"> 641</span>&#160; <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp; operator+=(<span class="keyword">const</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp;);</div><div class="line"><a name="l00642"></a><span class="lineno"> 642</span>&#160; <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp; operator-=(<span class="keyword">const</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp;);</div><div class="line"><a name="l00643"></a><span class="lineno"> 643</span>&#160;</div><div class="line"><a name="l00644"></a><span class="lineno"> 644</span>&#160; <span class="keywordtype">float</span> operator*(<span class="keyword">const</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp;) <span class="keyword">const</span>; <span class="comment">// inner (dot) product</span></div><div class="line"><a name="l00645"></a><span class="lineno"> 645</span>&#160; <span class="keywordtype">float</span> operator*(<span class="keyword">const</span> ON_2fPoint&amp;) <span class="keyword">const</span>; <span class="comment">// inner (dot) product point acting as a vector</span></div><div class="line"><a name="l00646"></a><span class="lineno"> 646</span>&#160; <span class="keywordtype">double</span> 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>; <span class="comment">// inner (dot) product</span></div><div class="line"><a name="l00647"></a><span class="lineno"> 647</span>&#160; </div><div class="line"><a name="l00648"></a><span class="lineno"> 648</span>&#160; <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a> operator*(<span class="keywordtype">int</span>) <span class="keyword">const</span>;</div><div class="line"><a name="l00649"></a><span class="lineno"> 649</span>&#160; <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a> operator/(<span class="keywordtype">int</span>) <span class="keyword">const</span>;</div><div class="line"><a name="l00650"></a><span class="lineno"> 650</span>&#160; <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a> operator*(<span class="keywordtype">float</span>) <span class="keyword">const</span>;</div><div class="line"><a name="l00651"></a><span class="lineno"> 651</span>&#160; <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a> operator/(<span class="keywordtype">float</span>) <span class="keyword">const</span>;</div><div class="line"><a name="l00652"></a><span class="lineno"> 652</span>&#160; <a class="code" href="../../da/d08/class_o_n__2d_vector.html">ON_2dVector</a> operator*(<span class="keywordtype">double</span>) <span class="keyword">const</span>;</div><div class="line"><a name="l00653"></a><span class="lineno"> 653</span>&#160; <a class="code" href="../../da/d08/class_o_n__2d_vector.html">ON_2dVector</a> operator/(<span class="keywordtype">double</span>) <span class="keyword">const</span>;</div><div class="line"><a name="l00654"></a><span class="lineno"> 654</span>&#160;</div><div class="line"><a name="l00655"></a><span class="lineno"> 655</span>&#160; <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a> operator+(<span class="keyword">const</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00656"></a><span class="lineno"> 656</span>&#160; ON_2fPoint operator+(<span class="keyword">const</span> ON_2fPoint&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00657"></a><span class="lineno"> 657</span>&#160; <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a> operator-(<span class="keyword">const</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00658"></a><span class="lineno"> 658</span>&#160; ON_2fPoint operator-(<span class="keyword">const</span> ON_2fPoint&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00659"></a><span class="lineno"> 659</span>&#160; <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a> operator+(<span class="keyword">const</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00660"></a><span class="lineno"> 660</span>&#160; ON_3fPoint operator+(<span class="keyword">const</span> ON_3fPoint&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00661"></a><span class="lineno"> 661</span>&#160; <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a> operator-(<span class="keyword">const</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00662"></a><span class="lineno"> 662</span>&#160; ON_3fPoint operator-(<span class="keyword">const</span> ON_3fPoint&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00663"></a><span class="lineno"> 663</span>&#160;</div><div class="line"><a name="l00664"></a><span class="lineno"> 664</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="l00665"></a><span class="lineno"> 665</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="l00666"></a><span class="lineno"> 666</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="l00667"></a><span class="lineno"> 667</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="l00668"></a><span class="lineno"> 668</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="l00669"></a><span class="lineno"> 669</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="l00670"></a><span class="lineno"> 670</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="l00671"></a><span class="lineno"> 671</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="l00672"></a><span class="lineno"> 672</span>&#160;</div><div class="line"><a name="l00673"></a><span class="lineno"> 673</span>&#160; <span class="keywordtype">bool</span> operator==(<span class="keyword">const</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00674"></a><span class="lineno"> 674</span>&#160; <span class="keywordtype">bool</span> operator!=(<span class="keyword">const</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00675"></a><span class="lineno"> 675</span>&#160;</div><div class="line"><a name="l00676"></a><span class="lineno"> 676</span>&#160; <span class="comment">// dictionary order comparisons</span></div><div class="line"><a name="l00677"></a><span class="lineno"> 677</span>&#160; <span class="keywordtype">bool</span> operator&lt;=(<span class="keyword">const</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00678"></a><span class="lineno"> 678</span>&#160; <span class="keywordtype">bool</span> operator&gt;=(<span class="keyword">const</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00679"></a><span class="lineno"> 679</span>&#160; <span class="keywordtype">bool</span> operator&lt;(<span class="keyword">const</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00680"></a><span class="lineno"> 680</span>&#160; <span class="keywordtype">bool</span> operator&gt;(<span class="keyword">const</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00681"></a><span class="lineno"> 681</span>&#160;</div><div class="line"><a name="l00682"></a><span class="lineno"> 682</span>&#160; <span class="comment">// index operators mimic float[2] behavior</span></div><div class="line"><a name="l00683"></a><span class="lineno"> 683</span>&#160; <span class="keywordtype">float</span>&amp; operator[](<span class="keywordtype">int</span>);</div><div class="line"><a name="l00684"></a><span class="lineno"> 684</span>&#160; <span class="keywordtype">float</span> operator[](<span class="keywordtype">int</span>) <span class="keyword">const</span>;</div><div class="line"><a name="l00685"></a><span class="lineno"> 685</span>&#160; <span class="keywordtype">float</span>&amp; operator[](<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span>);</div><div class="line"><a name="l00686"></a><span class="lineno"> 686</span>&#160; <span class="keywordtype">float</span> operator[](<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span>) <span class="keyword">const</span>;</div><div class="line"><a name="l00687"></a><span class="lineno"> 687</span>&#160;</div><div class="line"><a name="l00688"></a><span class="lineno"> 688</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00689"></a><span class="lineno"> 689</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00690"></a><span class="lineno"> 690</span>&#160;<span class="comment"> False if any coordinate is ON_UNSET_FLOAT, ON_UNSET_POSITIVE_FLOAT, nan, or infinite.</span></div><div class="line"><a name="l00691"></a><span class="lineno"> 691</span>&#160;<span class="comment"> True, otherwise.</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="keywordtype">bool</span> IsValid() <span class="keyword">const</span>;</div><div class="line"><a name="l00694"></a><span class="lineno"> 694</span>&#160; </div><div class="line"><a name="l00695"></a><span class="lineno"> 695</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00696"></a><span class="lineno"> 696</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00697"></a><span class="lineno"> 697</span>&#160;<span class="comment"> True if any coordinate is ON_UNSET_FLOAT or ON_UNSET_POSITIVE_FLOAT</span></div><div class="line"><a name="l00698"></a><span class="lineno"> 698</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00699"></a><span class="lineno"> 699</span>&#160; <span class="keywordtype">bool</span> IsUnset() <span class="keyword">const</span>;</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">// set 2d vector value</span></div><div class="line"><a name="l00702"></a><span class="lineno"> 702</span>&#160; <span class="keywordtype">void</span> Set(<span class="keywordtype">float</span>,<span class="keywordtype">float</span>);</div><div class="line"><a name="l00703"></a><span class="lineno"> 703</span>&#160;</div><div class="line"><a name="l00704"></a><span class="lineno"> 704</span>&#160; <span class="keywordtype">int</span> MaximumCoordinateIndex() <span class="keyword">const</span>;</div><div class="line"><a name="l00705"></a><span class="lineno"> 705</span>&#160; <span class="keywordtype">double</span> MaximumCoordinate() <span class="keyword">const</span>; <span class="comment">// absolute value of maximum coordinate</span></div><div class="line"><a name="l00706"></a><span class="lineno"> 706</span>&#160;</div><div class="line"><a name="l00707"></a><span class="lineno"> 707</span>&#160; <span class="keywordtype">double</span> LengthSquared() <span class="keyword">const</span>;</div><div class="line"><a name="l00708"></a><span class="lineno"> 708</span>&#160; <span class="keywordtype">double</span> Length() <span class="keyword">const</span>;</div><div class="line"><a name="l00709"></a><span class="lineno"> 709</span>&#160;</div><div class="line"><a name="l00710"></a><span class="lineno"> 710</span>&#160; <span class="keywordtype">bool</span> Decompose( <span class="comment">// Computes a, b such that this vector = a*X + b*Y</span></div><div class="line"><a name="l00711"></a><span class="lineno"> 711</span>&#160; <span class="comment">// Returns false if unable to solve for a,b. This happens</span></div><div class="line"><a name="l00712"></a><span class="lineno"> 712</span>&#160; <span class="comment">// when X,Y is not really a basis.</span></div><div class="line"><a name="l00713"></a><span class="lineno"> 713</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00714"></a><span class="lineno"> 714</span>&#160; <span class="comment">// If X,Y is known to be an orthonormal frame,</span></div><div class="line"><a name="l00715"></a><span class="lineno"> 715</span>&#160; <span class="comment">// then a = V*X, b = V*Y will compute</span></div><div class="line"><a name="l00716"></a><span class="lineno"> 716</span>&#160; <span class="comment">// the same result more quickly.</span></div><div class="line"><a name="l00717"></a><span class="lineno"> 717</span>&#160; <span class="keyword">const</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp;, <span class="comment">// X</span></div><div class="line"><a name="l00718"></a><span class="lineno"> 718</span>&#160; <span class="keyword">const</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp;, <span class="comment">// Y</span></div><div class="line"><a name="l00719"></a><span class="lineno"> 719</span>&#160; <span class="keywordtype">double</span>*, <span class="comment">// a</span></div><div class="line"><a name="l00720"></a><span class="lineno"> 720</span>&#160; <span class="keywordtype">double</span>* <span class="comment">// b</span></div><div class="line"><a name="l00721"></a><span class="lineno"> 721</span>&#160; ) <span class="keyword">const</span>;</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; <span class="keywordtype">int</span> IsParallelTo( </div><div class="line"><a name="l00724"></a><span class="lineno"> 724</span>&#160; <span class="comment">// returns 1: this and other vectors are parallel</span></div><div class="line"><a name="l00725"></a><span class="lineno"> 725</span>&#160; <span class="comment">// -1: this and other vectors are anti-parallel</span></div><div class="line"><a name="l00726"></a><span class="lineno"> 726</span>&#160; <span class="comment">// 0: this and other vectors are not parallel</span></div><div class="line"><a name="l00727"></a><span class="lineno"> 727</span>&#160; <span class="comment">// or at least one of the vectors is zero</span></div><div class="line"><a name="l00728"></a><span class="lineno"> 728</span>&#160; <span class="keyword">const</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp;, <span class="comment">// other vector </span></div><div class="line"><a name="l00729"></a><span class="lineno"> 729</span>&#160; <span class="keywordtype">double</span> = ON_DEFAULT_ANGLE_TOLERANCE <span class="comment">// optional angle tolerance (radians)</span></div><div class="line"><a name="l00730"></a><span class="lineno"> 730</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00731"></a><span class="lineno"> 731</span>&#160;</div><div class="line"><a name="l00732"></a><span class="lineno"> 732</span>&#160; <span class="keywordtype">bool</span> IsPerpendicularTo(</div><div class="line"><a name="l00733"></a><span class="lineno"> 733</span>&#160; <span class="comment">// returns true: this and other vectors are perpendicular</span></div><div class="line"><a name="l00734"></a><span class="lineno"> 734</span>&#160; <span class="comment">// false: this and other vectors are not perpendicular</span></div><div class="line"><a name="l00735"></a><span class="lineno"> 735</span>&#160; <span class="comment">// or at least one of the vectors is zero</span></div><div class="line"><a name="l00736"></a><span class="lineno"> 736</span>&#160; <span class="keyword">const</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp;, <span class="comment">// other vector </span></div><div class="line"><a name="l00737"></a><span class="lineno"> 737</span>&#160; <span class="keywordtype">double</span> = ON_DEFAULT_ANGLE_TOLERANCE <span class="comment">// optional angle tolerance (radians)</span></div><div class="line"><a name="l00738"></a><span class="lineno"> 738</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00739"></a><span class="lineno"> 739</span>&#160;</div><div class="line"><a name="l00740"></a><span class="lineno"> 740</span>&#160; ON_DEPRECATED_MSG(<span class="stringliteral">&quot;Use p = ON_2fVector::ZeroVector;&quot;</span>)</div><div class="line"><a name="l00741"></a><span class="lineno"> 741</span>&#160; <span class="keywordtype">void</span> Zero(); <span class="comment">// set all coordinates to zero;</span></div><div class="line"><a name="l00742"></a><span class="lineno"> 742</span>&#160;</div><div class="line"><a name="l00743"></a><span class="lineno"> 743</span>&#160; ON_DEPRECATED_MSG(<span class="stringliteral">&quot;Use v = -v;&quot;</span>)</div><div class="line"><a name="l00744"></a><span class="lineno"> 744</span>&#160; <span class="keywordtype">void</span> Reverse(); <span class="comment">// negate all coordinates</span></div><div class="line"><a name="l00745"></a><span class="lineno"> 745</span>&#160;</div><div class="line"><a name="l00746"></a><span class="lineno"> 746</span>&#160; <span class="keywordtype">bool</span> Unitize(); <span class="comment">// returns false if vector has zero length</span></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; <span class="keywordtype">bool</span> IsUnitVector() <span class="keyword">const</span>;</div><div class="line"><a name="l00749"></a><span class="lineno"> 749</span>&#160;</div><div class="line"><a name="l00750"></a><span class="lineno"> 750</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00751"></a><span class="lineno"> 751</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00752"></a><span class="lineno"> 752</span>&#160;<span class="comment"> If this is a valid non-zero vector, a unit vector parallel to this is returned.</span></div><div class="line"><a name="l00753"></a><span class="lineno"> 753</span>&#160;<span class="comment"> Otherwise the zero vector is returned.</span></div><div class="line"><a name="l00754"></a><span class="lineno"> 754</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00755"></a><span class="lineno"> 755</span>&#160; <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a> UnitVector() <span class="keyword">const</span>;</div><div class="line"><a name="l00756"></a><span class="lineno"> 756</span>&#160;</div><div class="line"><a name="l00757"></a><span class="lineno"> 757</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l00758"></a><span class="lineno"> 758</span>&#160; <span class="comment">// Test a vector to see if it is very short</span></div><div class="line"><a name="l00759"></a><span class="lineno"> 759</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00760"></a><span class="lineno"> 760</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00761"></a><span class="lineno"> 761</span>&#160; <span class="comment">// tiny_tol - [in] (default = ON_ZERO_TOLERANCE) a nonzero</span></div><div class="line"><a name="l00762"></a><span class="lineno"> 762</span>&#160; <span class="comment">// value used as the coordinate zero tolerance.</span></div><div class="line"><a name="l00763"></a><span class="lineno"> 763</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00764"></a><span class="lineno"> 764</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00765"></a><span class="lineno"> 765</span>&#160; <span class="comment">// ( fabs(x) &lt;= tiny_tol &amp;&amp; fabs(y) &lt;= tiny_tol )</span></div><div class="line"><a name="l00766"></a><span class="lineno"> 766</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00767"></a><span class="lineno"> 767</span>&#160; <span class="keywordtype">bool</span> IsTiny(</div><div class="line"><a name="l00768"></a><span class="lineno"> 768</span>&#160; <span class="keywordtype">double</span> = ON_ZERO_TOLERANCE <span class="comment">// tiny_tol</span></div><div class="line"><a name="l00769"></a><span class="lineno"> 769</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00770"></a><span class="lineno"> 770</span>&#160;</div><div class="line"><a name="l00771"></a><span class="lineno"> 771</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00772"></a><span class="lineno"> 772</span>&#160; <span class="comment">// true if vector is the zero vector.</span></div><div class="line"><a name="l00773"></a><span class="lineno"> 773</span>&#160; <span class="keywordtype">bool</span> IsZero() <span class="keyword">const</span>;</div><div class="line"><a name="l00774"></a><span class="lineno"> 774</span>&#160;</div><div class="line"><a name="l00775"></a><span class="lineno"> 775</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00776"></a><span class="lineno"> 776</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00777"></a><span class="lineno"> 777</span>&#160;<span class="comment"> true if at lease one coordinate is not zero and no coordinates are nans.</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="keywordtype">bool</span> IsNotZero() <span class="keyword">const</span>;</div><div class="line"><a name="l00780"></a><span class="lineno"> 780</span>&#160;</div><div class="line"><a name="l00781"></a><span class="lineno"> 781</span>&#160; <span class="comment">// set this vector to be perpendicular to another vector</span></div><div class="line"><a name="l00782"></a><span class="lineno"> 782</span>&#160; <span class="keywordtype">bool</span> PerpendicularTo( <span class="comment">// Result is not unitized. </span></div><div class="line"><a name="l00783"></a><span class="lineno"> 783</span>&#160; <span class="comment">// returns false if input vector is zero</span></div><div class="line"><a name="l00784"></a><span class="lineno"> 784</span>&#160; <span class="keyword">const</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp; </div><div class="line"><a name="l00785"></a><span class="lineno"> 785</span>&#160; );</div><div class="line"><a name="l00786"></a><span class="lineno"> 786</span>&#160;</div><div class="line"><a name="l00787"></a><span class="lineno"> 787</span>&#160; <span class="comment">// set this vector to be perpendicular to a line defined by 2 points</span></div><div class="line"><a name="l00788"></a><span class="lineno"> 788</span>&#160; <span class="keywordtype">bool</span> PerpendicularTo( </div><div class="line"><a name="l00789"></a><span class="lineno"> 789</span>&#160; <span class="keyword">const</span> ON_2fPoint&amp;, </div><div class="line"><a name="l00790"></a><span class="lineno"> 790</span>&#160; <span class="keyword">const</span> ON_2fPoint&amp; </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; ON__UINT32 DataCRC(ON__UINT32 current_remainder) <span class="keyword">const</span>;</div><div class="line"><a name="l00794"></a><span class="lineno"> 794</span>&#160;};</div><div class="line"><a name="l00795"></a><span class="lineno"> 795</span>&#160;</div><div class="line"><a name="l00796"></a><span class="lineno"> 796</span>&#160;ON_DECL</div><div class="line"><a name="l00797"></a><span class="lineno"> 797</span>&#160;<a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a> operator*(<span class="keywordtype">int</span>, <span class="keyword">const</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp;);</div><div class="line"><a name="l00798"></a><span class="lineno"> 798</span>&#160;</div><div class="line"><a name="l00799"></a><span class="lineno"> 799</span>&#160;ON_DECL</div><div class="line"><a name="l00800"></a><span class="lineno"> 800</span>&#160;<a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a> operator*(<span class="keywordtype">float</span>, <span class="keyword">const</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp;);</div><div class="line"><a name="l00801"></a><span class="lineno"> 801</span>&#160;</div><div class="line"><a name="l00802"></a><span class="lineno"> 802</span>&#160;ON_DECL</div><div class="line"><a name="l00803"></a><span class="lineno"> 803</span>&#160;<a class="code" href="../../da/d08/class_o_n__2d_vector.html">ON_2dVector</a> operator*(<span class="keywordtype">double</span>, <span class="keyword">const</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp;);</div><div class="line"><a name="l00804"></a><span class="lineno"> 804</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00805"></a><span class="lineno"> 805</span>&#160;<span class="comment">///////////////////////////////////////////////////////////////</span></div><div class="line"><a name="l00806"></a><span class="lineno"> 806</span>&#160;<span class="comment"></span><span class="comment">//</span></div><div class="line"><a name="l00807"></a><span class="lineno"> 807</span>&#160;<span class="comment">// ON_2fVector utilities</span></div><div class="line"><a name="l00808"></a><span class="lineno"> 808</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00809"></a><span class="lineno"> 809</span>&#160;</div><div class="line"><a name="l00810"></a><span class="lineno"> 810</span>&#160;ON_DECL</div><div class="line"><a name="l00811"></a><span class="lineno"> 811</span>&#160;<span class="keywordtype">float</span> </div><div class="line"><a name="l00812"></a><span class="lineno"> 812</span>&#160;ON_DotProduct( </div><div class="line"><a name="l00813"></a><span class="lineno"> 813</span>&#160; <span class="keyword">const</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp;, </div><div class="line"><a name="l00814"></a><span class="lineno"> 814</span>&#160; <span class="keyword">const</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp; </div><div class="line"><a name="l00815"></a><span class="lineno"> 815</span>&#160; );</div><div class="line"><a name="l00816"></a><span class="lineno"> 816</span>&#160;</div><div class="line"><a name="l00817"></a><span class="lineno"> 817</span>&#160;ON_DECL</div><div class="line"><a name="l00818"></a><span class="lineno"> 818</span>&#160;<a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a> </div><div class="line"><a name="l00819"></a><span class="lineno"> 819</span>&#160;ON_CrossProduct(</div><div class="line"><a name="l00820"></a><span class="lineno"> 820</span>&#160; <span class="keyword">const</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp;, </div><div class="line"><a name="l00821"></a><span class="lineno"> 821</span>&#160; <span class="keyword">const</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp; </div><div class="line"><a name="l00822"></a><span class="lineno"> 822</span>&#160; );</div><div class="line"><a name="l00823"></a><span class="lineno"> 823</span>&#160;</div><div class="line"><a name="l00824"></a><span class="lineno"> 824</span>&#160;ON_DECL</div><div class="line"><a name="l00825"></a><span class="lineno"> 825</span>&#160;<span class="keywordtype">bool</span> </div><div class="line"><a name="l00826"></a><span class="lineno"> 826</span>&#160;ON_IsOrthogonalFrame( <span class="comment">// true if X, Y are nonzero and mutually perpendicular</span></div><div class="line"><a name="l00827"></a><span class="lineno"> 827</span>&#160; <span class="keyword">const</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp;, <span class="comment">// X</span></div><div class="line"><a name="l00828"></a><span class="lineno"> 828</span>&#160; <span class="keyword">const</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp; <span class="comment">// Y</span></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;</div><div class="line"><a name="l00831"></a><span class="lineno"> 831</span>&#160;ON_DECL</div><div class="line"><a name="l00832"></a><span class="lineno"><a class="line" href="../../db/d80/class_o_n__3f_vector.html"> 832</a></span>&#160;<span class="keywordtype">bool</span> </div><div class="line"><a name="l00833"></a><span class="lineno"> 833</span>&#160;ON_IsOrthonormalFrame( <span class="comment">// true if X, Y are orthogonal and unit length</span></div><div class="line"><a name="l00834"></a><span class="lineno"> 834</span>&#160; <span class="keyword">const</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp;, <span class="comment">// X</span></div><div class="line"><a name="l00835"></a><span class="lineno"><a class="line" href="../../db/d80/class_o_n__3f_vector.html#ab56933aa84a25e722c10ef5fa158664f"> 835</a></span>&#160; <span class="keyword">const</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp; <span class="comment">// Y</span></div><div class="line"><a name="l00836"></a><span class="lineno"> 836</span>&#160; );</div><div class="line"><a name="l00837"></a><span class="lineno"> 837</span>&#160;</div><div class="line"><a name="l00838"></a><span class="lineno"> 838</span>&#160;ON_DECL</div><div class="line"><a name="l00839"></a><span class="lineno"> 839</span>&#160;<span class="keywordtype">bool</span> </div><div class="line"><a name="l00840"></a><span class="lineno"> 840</span>&#160;ON_IsRightHandFrame( <span class="comment">// true if X, Y are orthonormal and right handed</span></div><div class="line"><a name="l00841"></a><span class="lineno"> 841</span>&#160; <span class="keyword">const</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp;, <span class="comment">// X</span></div><div class="line"><a name="l00842"></a><span class="lineno"> 842</span>&#160; <span class="keyword">const</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp; <span class="comment">// Y</span></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"></span></div><div class="line"><a name="l00845"></a><span class="lineno"><a class="line" href="../../db/d80/class_o_n__3f_vector.html#a491ca7e79d404bd888bf0645f65b8964"> 845</a></span>&#160;<span class="comment">////////////////////////////////////////////////////////////////</span></div><div class="line"><a name="l00846"></a><span class="lineno"><a class="line" href="../../db/d80/class_o_n__3f_vector.html#ac50bee0e3578cc79e31b4288582685db"> 846</a></span>&#160;<span class="comment"></span><span class="comment">//</span></div><div class="line"><a name="l00847"></a><span class="lineno"><a class="line" href="../../db/d80/class_o_n__3f_vector.html#a330fab22e74a4e54cb1aac80141ff9b0"> 847</a></span>&#160;<span class="comment">// ON_3fVector</span></div><div class="line"><a name="l00848"></a><span class="lineno"><a class="line" href="../../db/d80/class_o_n__3f_vector.html#a2ebd213f68f2a44cf630da95aeeddac0"> 848</a></span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00849"></a><span class="lineno"><a class="line" href="../../db/d80/class_o_n__3f_vector.html#a054af42dbc93311578c287f07c06c543"> 849</a></span>&#160;<span class="keyword">class </span>ON_CLASS <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a></div><div class="line"><a name="l00850"></a><span class="lineno"> 850</span>&#160;{</div><div class="line"><a name="l00851"></a><span class="lineno"> 851</span>&#160;<span class="keyword">public</span>:</div><div class="line"><a name="l00852"></a><span class="lineno"> 852</span>&#160; <span class="keywordtype">float</span> x, y, z;</div><div class="line"><a name="l00853"></a><span class="lineno"> 853</span>&#160;</div><div class="line"><a name="l00854"></a><span class="lineno"> 854</span>&#160;<span class="keyword">public</span>:</div><div class="line"><a name="l00855"></a><span class="lineno"> 855</span>&#160; <span class="comment">// x,y,z not initialized</span></div><div class="line"><a name="l00856"></a><span class="lineno"> 856</span>&#160; <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>() = <span class="keywordflow">default</span>;</div><div class="line"><a name="l00857"></a><span class="lineno"> 857</span>&#160; ~<a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>() = <span class="keywordflow">default</span>;</div><div class="line"><a name="l00858"></a><span class="lineno"> 858</span>&#160; <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>(<span class="keyword">const</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp;) = <span class="keywordflow">default</span>;</div><div class="line"><a name="l00859"></a><span class="lineno"> 859</span>&#160; <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp; operator=(<span class="keyword">const</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp;) = <span class="keywordflow">default</span>;</div><div class="line"><a name="l00860"></a><span class="lineno"> 860</span>&#160;</div><div class="line"><a name="l00861"></a><span class="lineno"> 861</span>&#160;<span class="keyword">public</span>:</div><div class="line"><a name="l00862"></a><span class="lineno"> 862</span>&#160; <span class="keyword">static</span> <span class="keyword">const</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a> NanVector; <span class="comment">// (ON_FLT_QNAN,ON_FLT_QNAN,ON_FLT_QNAN)</span></div><div class="line"><a name="l00863"></a><span class="lineno"> 863</span>&#160; <span class="keyword">static</span> <span class="keyword">const</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a> ZeroVector; <span class="comment">// (0.0f,0.0f,0.0f)</span></div><div class="line"><a name="l00864"></a><span class="lineno"> 864</span>&#160; <span class="keyword">static</span> <span class="keyword">const</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a> XAxis; <span class="comment">// (1.0f,0.0f,0.0f)</span></div><div class="line"><a name="l00865"></a><span class="lineno"> 865</span>&#160; <span class="keyword">static</span> <span class="keyword">const</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a> YAxis; <span class="comment">// (0.0f,1.0f,0.0f)</span></div><div class="line"><a name="l00866"></a><span class="lineno"> 866</span>&#160; <span class="keyword">static</span> <span class="keyword">const</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a> ZAxis; <span class="comment">// (0.0f,0.0f,1.0f)</span></div><div class="line"><a name="l00867"></a><span class="lineno"> 867</span>&#160;</div><div class="line"><a name="l00868"></a><span class="lineno"> 868</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00869"></a><span class="lineno"> 869</span>&#160;<span class="comment"> Description:</span></div><div class="line"><a name="l00870"></a><span class="lineno"> 870</span>&#160;<span class="comment"> A well ordered dictionary compare function that is nan aware and can</span></div><div class="line"><a name="l00871"></a><span class="lineno"> 871</span>&#160;<span class="comment"> be used for robust sorting.</span></div><div class="line"><a name="l00872"></a><span class="lineno"> 872</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00873"></a><span class="lineno"> 873</span>&#160; <span class="keyword">static</span> <span class="keywordtype">int</span> Compare(</div><div class="line"><a name="l00874"></a><span class="lineno"> 874</span>&#160; <span class="keyword">const</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp; lhs,</div><div class="line"><a name="l00875"></a><span class="lineno"> 875</span>&#160; <span class="keyword">const</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp; rhs</div><div class="line"><a name="l00876"></a><span class="lineno"> 876</span>&#160; );</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:</span></div><div class="line"><a name="l00879"></a><span class="lineno"> 879</span>&#160; <span class="comment">// A index driven function to get unit axis vectors.</span></div><div class="line"><a name="l00880"></a><span class="lineno"> 880</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l00881"></a><span class="lineno"> 881</span>&#160; <span class="comment">// index - [in] 0 returns (1,0,0), 1 returns (0,1,0)</span></div><div class="line"><a name="l00882"></a><span class="lineno"> 882</span>&#160; <span class="comment">// 2 returns (0,0,1)</span></div><div class="line"><a name="l00883"></a><span class="lineno"> 883</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l00884"></a><span class="lineno"> 884</span>&#160; <span class="comment">// Unit 3d vector with vector[i] = (i==index)?1:0;</span></div><div class="line"><a name="l00885"></a><span class="lineno"> 885</span>&#160; <span class="keyword">static</span> <span class="keyword">const</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp; UnitVector(</div><div class="line"><a name="l00886"></a><span class="lineno"> 886</span>&#160; <span class="keywordtype">int</span> <span class="comment">// index</span></div><div class="line"><a name="l00887"></a><span class="lineno"> 887</span>&#160; );</div><div class="line"><a name="l00888"></a><span class="lineno"> 888</span>&#160;</div><div class="line"><a name="l00889"></a><span class="lineno"> 889</span>&#160; <span class="keyword">explicit</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>(<span class="keywordtype">float</span> x,<span class="keywordtype">float</span> y,<span class="keywordtype">float</span> z);</div><div class="line"><a name="l00890"></a><span class="lineno"> 890</span>&#160;</div><div class="line"><a name="l00891"></a><span class="lineno"> 891</span>&#160; <span class="keyword">explicit</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>(<span class="keyword">const</span> ON_2fPoint&amp; ); <span class="comment">// from 2f point</span></div><div class="line"><a name="l00892"></a><span class="lineno"> 892</span>&#160; <span class="keyword">explicit</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>(<span class="keyword">const</span> ON_3fPoint&amp; ); <span class="comment">// from 3f point</span></div><div class="line"><a name="l00893"></a><span class="lineno"> 893</span>&#160; <span class="keyword">explicit</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>(<span class="keyword">const</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp; ); <span class="comment">// from 2f vector</span></div><div class="line"><a name="l00894"></a><span class="lineno"> 894</span>&#160; <span class="keyword">explicit</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>(<span class="keyword">const</span> <span class="keywordtype">float</span>*); <span class="comment">// from float[3] array</span></div><div class="line"><a name="l00895"></a><span class="lineno"> 895</span>&#160;</div><div class="line"><a name="l00896"></a><span class="lineno"> 896</span>&#160; <span class="keyword">explicit</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>(<span class="keyword">const</span> <a class="code" href="../../dd/dd9/class_o_n__2d_point.html">ON_2dPoint</a>&amp; ); <span class="comment">// from 2d point</span></div><div class="line"><a name="l00897"></a><span class="lineno"> 897</span>&#160; <span class="keyword">explicit</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>(<span class="keyword">const</span> <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&amp; ); <span class="comment">// from 3d point</span></div><div class="line"><a name="l00898"></a><span class="lineno"> 898</span>&#160; <span class="keyword">explicit</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>(<span class="keyword">const</span> <a class="code" href="../../da/d08/class_o_n__2d_vector.html">ON_2dVector</a>&amp; ); <span class="comment">// from 2d vector</span></div><div class="line"><a name="l00899"></a><span class="lineno"> 899</span>&#160; <span class="keyword">explicit</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>(<span class="keyword">const</span> <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp; ); <span class="comment">// from 3d vector</span></div><div class="line"><a name="l00900"></a><span class="lineno"> 900</span>&#160; <span class="keyword">explicit</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>(<span class="keyword">const</span> <span class="keywordtype">double</span>*); <span class="comment">// from double[3] array</span></div><div class="line"><a name="l00901"></a><span class="lineno"> 901</span>&#160;</div><div class="line"><a name="l00902"></a><span class="lineno"> 902</span>&#160; <span class="comment">// (float*) conversion operators</span></div><div class="line"><a name="l00903"></a><span class="lineno"> 903</span>&#160; <span class="keyword">operator</span> <span class="keywordtype">float</span>*();</div><div class="line"><a name="l00904"></a><span class="lineno"> 904</span>&#160; <span class="keyword">operator</span> <span class="keyword">const</span> <span class="keywordtype">float</span>*() <span class="keyword">const</span>;</div><div class="line"><a name="l00905"></a><span class="lineno"> 905</span>&#160;</div><div class="line"><a name="l00906"></a><span class="lineno"> 906</span>&#160; <span class="comment">// use implicit operator=(const ON_3fVector&amp;)</span></div><div class="line"><a name="l00907"></a><span class="lineno"> 907</span>&#160; <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp; operator=(<span class="keyword">const</span> ON_2fPoint&amp;);</div><div class="line"><a name="l00908"></a><span class="lineno"> 908</span>&#160; <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp; operator=(<span class="keyword">const</span> ON_3fPoint&amp;);</div><div class="line"><a name="l00909"></a><span class="lineno"> 909</span>&#160; <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp; operator=(<span class="keyword">const</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp;);</div><div class="line"><a name="l00910"></a><span class="lineno"> 910</span>&#160; <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp; operator=(<span class="keyword">const</span> <span class="keywordtype">float</span>*); <span class="comment">// point = float[3] support</span></div><div class="line"><a name="l00911"></a><span class="lineno"> 911</span>&#160;</div><div class="line"><a name="l00912"></a><span class="lineno"> 912</span>&#160; <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp; operator=(<span class="keyword">const</span> <a class="code" href="../../dd/dd9/class_o_n__2d_point.html">ON_2dPoint</a>&amp;);</div><div class="line"><a name="l00913"></a><span class="lineno"> 913</span>&#160; <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp; operator=(<span class="keyword">const</span> <a class="code" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&amp;);</div><div class="line"><a name="l00914"></a><span class="lineno"> 914</span>&#160; <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp; operator=(<span class="keyword">const</span> <a class="code" href="../../da/d08/class_o_n__2d_vector.html">ON_2dVector</a>&amp;);</div><div class="line"><a name="l00915"></a><span class="lineno"> 915</span>&#160; <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp; operator=(<span class="keyword">const</span> <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&amp;);</div><div class="line"><a name="l00916"></a><span class="lineno"> 916</span>&#160; <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp; operator=(<span class="keyword">const</span> <span class="keywordtype">double</span>*); <span class="comment">// point = double[3] support</span></div><div class="line"><a name="l00917"></a><span class="lineno"> 917</span>&#160; </div><div class="line"><a name="l00918"></a><span class="lineno"> 918</span>&#160; <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a> operator-() <span class="keyword">const</span>;</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; <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp; operator*=(<span class="keywordtype">float</span>);</div><div class="line"><a name="l00921"></a><span class="lineno"> 921</span>&#160; <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp; operator/=(<span class="keywordtype">float</span>);</div><div class="line"><a name="l00922"></a><span class="lineno"> 922</span>&#160; <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp; operator+=(<span class="keyword">const</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp;);</div><div class="line"><a name="l00923"></a><span class="lineno"> 923</span>&#160; <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp; operator-=(<span class="keyword">const</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp;);</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="keywordtype">float</span> operator*(<span class="keyword">const</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp;) <span class="keyword">const</span>; <span class="comment">// inner (dot) product</span></div><div class="line"><a name="l00926"></a><span class="lineno"> 926</span>&#160; <span class="keywordtype">float</span> operator*(<span class="keyword">const</span> ON_3fPoint&amp;) <span class="keyword">const</span>; <span class="comment">// inner (dot) product (point acting as a vector)</span></div><div class="line"><a name="l00927"></a><span class="lineno"> 927</span>&#160; <span class="keywordtype">double</span> 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>; <span class="comment">// inner (dot) product</span></div><div class="line"><a name="l00928"></a><span class="lineno"> 928</span>&#160;</div><div class="line"><a name="l00929"></a><span class="lineno"> 929</span>&#160; <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a> operator*(<span class="keywordtype">int</span>) <span class="keyword">const</span>;</div><div class="line"><a name="l00930"></a><span class="lineno"> 930</span>&#160; <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a> operator/(<span class="keywordtype">int</span>) <span class="keyword">const</span>;</div><div class="line"><a name="l00931"></a><span class="lineno"> 931</span>&#160; <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a> operator*(<span class="keywordtype">float</span>) <span class="keyword">const</span>;</div><div class="line"><a name="l00932"></a><span class="lineno"> 932</span>&#160; <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a> operator/(<span class="keywordtype">float</span>) <span class="keyword">const</span>;</div><div class="line"><a name="l00933"></a><span class="lineno"> 933</span>&#160; <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> operator*(<span class="keywordtype">double</span>) <span class="keyword">const</span>;</div><div class="line"><a name="l00934"></a><span class="lineno"> 934</span>&#160; <a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> operator/(<span class="keywordtype">double</span>) <span class="keyword">const</span>;</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; <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a> operator+(<span class="keyword">const</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00937"></a><span class="lineno"> 937</span>&#160; ON_3fPoint operator+(<span class="keyword">const</span> ON_3fPoint&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00938"></a><span class="lineno"> 938</span>&#160; <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a> operator-(<span class="keyword">const</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00939"></a><span class="lineno"> 939</span>&#160; ON_3fPoint operator-(<span class="keyword">const</span> ON_3fPoint&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00940"></a><span class="lineno"> 940</span>&#160; <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a> operator+(<span class="keyword">const</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00941"></a><span class="lineno"> 941</span>&#160; ON_3fPoint operator+(<span class="keyword">const</span> ON_2fPoint&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00942"></a><span class="lineno"> 942</span>&#160; <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a> operator-(<span class="keyword">const</span> <a class="code" href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a>&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00943"></a><span class="lineno"> 943</span>&#160; ON_3fPoint operator-(<span class="keyword">const</span> ON_2fPoint&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00944"></a><span class="lineno"> 944</span>&#160;</div><div class="line"><a name="l00945"></a><span class="lineno"> 945</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="l00946"></a><span class="lineno"> 946</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="l00947"></a><span class="lineno"> 947</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="l00948"></a><span class="lineno"> 948</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="l00949"></a><span class="lineno"> 949</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="../../da/d08/class_o_n__2d_vector.html">ON_2dVector</a>&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00950"></a><span class="lineno"> 950</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="../../dd/dd9/class_o_n__2d_point.html">ON_2dPoint</a>&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00951"></a><span class="lineno"> 951</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="../../da/d08/class_o_n__2d_vector.html">ON_2dVector</a>&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00952"></a><span class="lineno"> 952</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="../../dd/dd9/class_o_n__2d_point.html">ON_2dPoint</a>&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00953"></a><span class="lineno"> 953</span>&#160;</div><div class="line"><a name="l00954"></a><span class="lineno"> 954</span>&#160; <span class="keywordtype">bool</span> operator==(<span class="keyword">const</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00955"></a><span class="lineno"> 955</span>&#160; <span class="keywordtype">bool</span> operator!=(<span class="keyword">const</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00956"></a><span class="lineno"> 956</span>&#160;</div><div class="line"><a name="l00957"></a><span class="lineno"> 957</span>&#160; <span class="comment">// dictionary order comparisons</span></div><div class="line"><a name="l00958"></a><span class="lineno"> 958</span>&#160; <span class="keywordtype">bool</span> operator&lt;=(<span class="keyword">const</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00959"></a><span class="lineno"> 959</span>&#160; <span class="keywordtype">bool</span> operator&gt;=(<span class="keyword">const</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00960"></a><span class="lineno"> 960</span>&#160; <span class="keywordtype">bool</span> operator&lt;(<span class="keyword">const</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00961"></a><span class="lineno"> 961</span>&#160; <span class="keywordtype">bool</span> operator&gt;(<span class="keyword">const</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp;) <span class="keyword">const</span>;</div><div class="line"><a name="l00962"></a><span class="lineno"> 962</span>&#160;</div><div class="line"><a name="l00963"></a><span class="lineno"> 963</span>&#160; <span class="comment">// index operators mimic float[3] behavior</span></div><div class="line"><a name="l00964"></a><span class="lineno"> 964</span>&#160; <span class="keywordtype">float</span>&amp; operator[](<span class="keywordtype">int</span>);</div><div class="line"><a name="l00965"></a><span class="lineno"> 965</span>&#160; <span class="keywordtype">float</span> operator[](<span class="keywordtype">int</span>) <span class="keyword">const</span>;</div><div class="line"><a name="l00966"></a><span class="lineno"> 966</span>&#160; <span class="keywordtype">float</span>&amp; operator[](<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span>);</div><div class="line"><a name="l00967"></a><span class="lineno"> 967</span>&#160; <span class="keywordtype">float</span> operator[](<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span>) <span class="keyword">const</span>;</div><div class="line"><a name="l00968"></a><span class="lineno"> 968</span>&#160;</div><div class="line"><a name="l00969"></a><span class="lineno"> 969</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00970"></a><span class="lineno"> 970</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00971"></a><span class="lineno"> 971</span>&#160;<span class="comment"> False if any coordinate is ON_UNSET_FLOAT, ON_UNSET_POSITIVE_FLOAT, nan, or infinite.</span></div><div class="line"><a name="l00972"></a><span class="lineno"> 972</span>&#160;<span class="comment"> True, otherwise.</span></div><div class="line"><a name="l00973"></a><span class="lineno"> 973</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00974"></a><span class="lineno"> 974</span>&#160; <span class="keywordtype">bool</span> IsValid() <span class="keyword">const</span>;</div><div class="line"><a name="l00975"></a><span class="lineno"> 975</span>&#160; </div><div class="line"><a name="l00976"></a><span class="lineno"> 976</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l00977"></a><span class="lineno"> 977</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l00978"></a><span class="lineno"> 978</span>&#160;<span class="comment"> True if any coordinate is ON_UNSET_FLOAT or ON_UNSET_POSITIVE_FLOAT</span></div><div class="line"><a name="l00979"></a><span class="lineno"> 979</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00980"></a><span class="lineno"> 980</span>&#160; <span class="keywordtype">bool</span> IsUnset() <span class="keyword">const</span>;</div><div class="line"><a name="l00981"></a><span class="lineno"> 981</span>&#160;</div><div class="line"><a name="l00982"></a><span class="lineno"> 982</span>&#160; <span class="comment">// set 3d vector value</span></div><div class="line"><a name="l00983"></a><span class="lineno"> 983</span>&#160; <span class="keywordtype">void</span> Set(<span class="keywordtype">float</span>,<span class="keywordtype">float</span>,<span class="keywordtype">float</span>);</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="keywordtype">int</span> MaximumCoordinateIndex() <span class="keyword">const</span>;</div><div class="line"><a name="l00986"></a><span class="lineno"> 986</span>&#160; <span class="keywordtype">double</span> MaximumCoordinate() <span class="keyword">const</span>; <span class="comment">// absolute value of maximum coordinate</span></div><div class="line"><a name="l00987"></a><span class="lineno"> 987</span>&#160;</div><div class="line"><a name="l00988"></a><span class="lineno"> 988</span>&#160; <span class="keywordtype">double</span> LengthSquared() <span class="keyword">const</span>;</div><div class="line"><a name="l00989"></a><span class="lineno"> 989</span>&#160; <span class="keywordtype">double</span> Length() <span class="keyword">const</span>;</div><div class="line"><a name="l00990"></a><span class="lineno"> 990</span>&#160;</div><div class="line"><a name="l00991"></a><span class="lineno"> 991</span>&#160; <span class="keywordtype">bool</span> IsPerpendicularTo(</div><div class="line"><a name="l00992"></a><span class="lineno"> 992</span>&#160; <span class="comment">// returns true: this and other vectors are perpendicular</span></div><div class="line"><a name="l00993"></a><span class="lineno"> 993</span>&#160; <span class="comment">// false: this and other vectors are not perpendicular</span></div><div class="line"><a name="l00994"></a><span class="lineno"> 994</span>&#160; <span class="comment">// or at least one of the vectors is zero</span></div><div class="line"><a name="l00995"></a><span class="lineno"> 995</span>&#160; <span class="keyword">const</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp;, <span class="comment">// other vector </span></div><div class="line"><a name="l00996"></a><span class="lineno"> 996</span>&#160; <span class="keywordtype">double</span> = ON_DEFAULT_ANGLE_TOLERANCE <span class="comment">// optional angle tolerance (radians)</span></div><div class="line"><a name="l00997"></a><span class="lineno"> 997</span>&#160; ) <span class="keyword">const</span>;</div><div class="line"><a name="l00998"></a><span class="lineno"> 998</span>&#160;</div><div class="line"><a name="l00999"></a><span class="lineno"> 999</span>&#160; <span class="keywordtype">double</span> Fuzz( <span class="keywordtype">double</span> = ON_ZERO_TOLERANCE ) <span class="keyword">const</span>; <span class="comment">// tolerance to use when comparing 3d vectors</span></div><div class="line"><a name="l01000"></a><span class="lineno"> 1000</span>&#160;</div><div class="line"><a name="l01001"></a><span class="lineno"> 1001</span>&#160; ON_DEPRECATED_MSG(<span class="stringliteral">&quot;Use p = ON_3fVector::ZeroVector;&quot;</span>)</div><div class="line"><a name="l01002"></a><span class="lineno"> 1002</span>&#160; <span class="keywordtype">void</span> Zero(); <span class="comment">// set all coordinates to zero</span></div><div class="line"><a name="l01003"></a><span class="lineno"> 1003</span>&#160;</div><div class="line"><a name="l01004"></a><span class="lineno"> 1004</span>&#160; ON_DEPRECATED_MSG(<span class="stringliteral">&quot;Use v = -v;&quot;</span>)</div><div class="line"><a name="l01005"></a><span class="lineno"> 1005</span>&#160; <span class="keywordtype">void</span> Reverse(); <span class="comment">// negate all coordinates</span></div><div class="line"><a name="l01006"></a><span class="lineno"> 1006</span>&#160;</div><div class="line"><a name="l01007"></a><span class="lineno"> 1007</span>&#160; <span class="keywordtype">bool</span> Unitize(); <span class="comment">// returns false if vector has zero length</span></div><div class="line"><a name="l01008"></a><span class="lineno"> 1008</span>&#160;</div><div class="line"><a name="l01009"></a><span class="lineno"> 1009</span>&#160; <span class="keywordtype">bool</span> IsUnitVector() <span class="keyword">const</span>;</div><div class="line"><a name="l01010"></a><span class="lineno"> 1010</span>&#160;</div><div class="line"><a name="l01011"></a><span class="lineno"> 1011</span>&#160; <span class="comment">/*</span></div><div class="line"><a name="l01012"></a><span class="lineno"> 1012</span>&#160;<span class="comment"> Returns:</span></div><div class="line"><a name="l01013"></a><span class="lineno"> 1013</span>&#160;<span class="comment"> If this is a valid non-zero vector, a unit vector parallel to this is returned.</span></div><div class="line"><a name="l01014"></a><span class="lineno"> 1014</span>&#160;<span class="comment"> Otherwise the zero vector is returned.</span></div><div class="line"><a name="l01015"></a><span class="lineno"> 1015</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01016"></a><span class="lineno"> 1016</span>&#160; <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a> UnitVector() <span class="keyword">const</span>;</div><div class="line"><a name="l01017"></a><span class="lineno"> 1017</span>&#160;</div><div class="line"><a name="l01018"></a><span class="lineno"> 1018</span>&#160;</div><div class="line"><a name="l01019"></a><span class="lineno"> 1019</span>&#160; <span class="comment">// Description:</span></div><div class="line"><a name="l01020"></a><span class="lineno"> 1020</span>&#160; <span class="comment">// Test a vector to see if it is very short</span></div><div class="line"><a name="l01021"></a><span class="lineno"> 1021</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l01022"></a><span class="lineno"> 1022</span>&#160; <span class="comment">// Parameters:</span></div><div class="line"><a name="l01023"></a><span class="lineno"> 1023</span>&#160; <span class="comment">// tiny_tol - [in] (default = ON_ZERO_TOLERANCE) a nonzero</span></div><div class="line"><a name="l01024"></a><span class="lineno"> 1024</span>&#160; <span class="comment">// value used as the coordinate zero tolerance.</span></div><div class="line"><a name="l01025"></a><span class="lineno"> 1025</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l01026"></a><span class="lineno"> 1026</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l01027"></a><span class="lineno"> 1027</span>&#160; <span class="comment">// ( fabs(x) &lt;= tiny_tol &amp;&amp; fabs(y) &lt;= tiny_tol &amp;&amp; fabs(z) &lt;= tiny_tol )</span></div><div class="line"><a name="l01028"></a><span class="lineno"> 1028</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l01029"></a><span class="lineno"> 1029</span>&#160; <span class="keywordtype">bool</span> IsTiny(</div><div class="line"><a name="l01030"></a><span class="lineno"> 1030</span>&#160; <span class="keywordtype">double</span> = ON_ZERO_TOLERANCE <span class="comment">// tiny_tol</span></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;</div><div class="line"><a name="l01033"></a><span class="lineno"> 1033</span>&#160; <span class="comment">// Returns:</span></div><div class="line"><a name="l01034"></a><span class="lineno"> 1034</span>&#160; <span class="comment">// true if vector is the zero vector.</span></div><div class="line"><a name="l01035"></a><span class="lineno"> 1035</span>&#160; <span class="keywordtype">bool</span> IsZero() <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"> Returns:</span></div><div class="line"><a name="l01039"></a><span class="lineno"> 1039</span>&#160;<span class="comment"> true if at lease one coordinate is not zero and no coordinates are nans.</span></div><div class="line"><a name="l01040"></a><span class="lineno"> 1040</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l01041"></a><span class="lineno"> 1041</span>&#160; <span class="keywordtype">bool</span> IsNotZero() <span class="keyword">const</span>;</div><div class="line"><a name="l01042"></a><span class="lineno"> 1042</span>&#160;</div><div class="line"><a name="l01043"></a><span class="lineno"> 1043</span>&#160; <span class="comment">// set this vector to be perpendicular to another vector</span></div><div class="line"><a name="l01044"></a><span class="lineno"> 1044</span>&#160; <span class="keywordtype">bool</span> PerpendicularTo( <span class="comment">// Result is not unitized. </span></div><div class="line"><a name="l01045"></a><span class="lineno"> 1045</span>&#160; <span class="comment">// returns false if input vector is zero</span></div><div class="line"><a name="l01046"></a><span class="lineno"> 1046</span>&#160; <span class="keyword">const</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp; </div><div class="line"><a name="l01047"></a><span class="lineno"> 1047</span>&#160; );</div><div class="line"><a name="l01048"></a><span class="lineno"> 1048</span>&#160;</div><div class="line"><a name="l01049"></a><span class="lineno"> 1049</span>&#160; <span class="comment">// These transform the vector in place. The transformation matrix acts on</span></div><div class="line"><a name="l01050"></a><span class="lineno"> 1050</span>&#160; <span class="comment">// the left of the vector; i.e., result = transformation*vector</span></div><div class="line"><a name="l01051"></a><span class="lineno"> 1051</span>&#160; <span class="keywordtype">void</span> Transform( </div><div class="line"><a name="l01052"></a><span class="lineno"> 1052</span>&#160; <span class="keyword">const</span> ON_Xform&amp; <span class="comment">// can use ON_Xform here</span></div><div class="line"><a name="l01053"></a><span class="lineno"> 1053</span>&#160; );</div><div class="line"><a name="l01054"></a><span class="lineno"> 1054</span>&#160;</div><div class="line"><a name="l01055"></a><span class="lineno"> 1055</span>&#160; <span class="keywordtype">void</span> Rotate( </div><div class="line"><a name="l01056"></a><span class="lineno"> 1056</span>&#160; <span class="keywordtype">double</span>, <span class="comment">// angle in radians</span></div><div class="line"><a name="l01057"></a><span class="lineno"> 1057</span>&#160; <span class="keyword">const</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp; <span class="comment">// axis of rotation</span></div><div class="line"><a name="l01058"></a><span class="lineno"> 1058</span>&#160; );</div><div class="line"><a name="l01059"></a><span class="lineno"> 1059</span>&#160;</div><div class="line"><a name="l01060"></a><span class="lineno"> 1060</span>&#160; <span class="keywordtype">void</span> Rotate( </div><div class="line"><a name="l01061"></a><span class="lineno"> 1061</span>&#160; <span class="keywordtype">double</span>, <span class="comment">// sin(angle)</span></div><div class="line"><a name="l01062"></a><span class="lineno"> 1062</span>&#160; <span class="keywordtype">double</span>, <span class="comment">// cos(angle)</span></div><div class="line"><a name="l01063"></a><span class="lineno"> 1063</span>&#160; <span class="keyword">const</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp; <span class="comment">// axis of rotation</span></div><div class="line"><a name="l01064"></a><span class="lineno"> 1064</span>&#160; );</div><div class="line"><a name="l01065"></a><span class="lineno"> 1065</span>&#160;</div><div class="line"><a name="l01066"></a><span class="lineno"> 1066</span>&#160; ON__UINT32 DataCRC(ON__UINT32 current_remainder) <span class="keyword">const</span>;</div><div class="line"><a name="l01067"></a><span class="lineno"> 1067</span>&#160;};</div><div class="line"><a name="l01068"></a><span class="lineno"> 1068</span>&#160;</div><div class="line"><a name="l01069"></a><span class="lineno"> 1069</span>&#160;ON_DECL</div><div class="line"><a name="l01070"></a><span class="lineno"> 1070</span>&#160;<a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a> operator*(<span class="keywordtype">int</span>, <span class="keyword">const</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp;);</div><div class="line"><a name="l01071"></a><span class="lineno"> 1071</span>&#160;</div><div class="line"><a name="l01072"></a><span class="lineno"> 1072</span>&#160;ON_DECL</div><div class="line"><a name="l01073"></a><span class="lineno"> 1073</span>&#160;<a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a> operator*(<span class="keywordtype">float</span>, <span class="keyword">const</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp;);</div><div class="line"><a name="l01074"></a><span class="lineno"> 1074</span>&#160;</div><div class="line"><a name="l01075"></a><span class="lineno"> 1075</span>&#160;ON_DECL</div><div class="line"><a name="l01076"></a><span class="lineno"> 1076</span>&#160;<a class="code" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> operator*(<span class="keywordtype">double</span>, <span class="keyword">const</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp;);</div><div class="line"><a name="l01077"></a><span class="lineno"> 1077</span>&#160;<span class="comment"></span></div><div class="line"><a name="l01078"></a><span class="lineno"> 1078</span>&#160;<span class="comment">///////////////////////////////////////////////////////////////</span></div><div class="line"><a name="l01079"></a><span class="lineno"> 1079</span>&#160;<span class="comment"></span><span class="comment">//</span></div><div class="line"><a name="l01080"></a><span class="lineno"> 1080</span>&#160;<span class="comment">// ON_3fVector utilities</span></div><div class="line"><a name="l01081"></a><span class="lineno"> 1081</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l01082"></a><span class="lineno"> 1082</span>&#160;</div><div class="line"><a name="l01083"></a><span class="lineno"> 1083</span>&#160;ON_DECL</div><div class="line"><a name="l01084"></a><span class="lineno"> 1084</span>&#160;<span class="keywordtype">float</span> </div><div class="line"><a name="l01085"></a><span class="lineno"> 1085</span>&#160;ON_DotProduct( </div><div class="line"><a name="l01086"></a><span class="lineno"> 1086</span>&#160; <span class="keyword">const</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp;, </div><div class="line"><a name="l01087"></a><span class="lineno"> 1087</span>&#160; <span class="keyword">const</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp; </div><div class="line"><a name="l01088"></a><span class="lineno"> 1088</span>&#160; );</div><div class="line"><a name="l01089"></a><span class="lineno"> 1089</span>&#160;</div><div class="line"><a name="l01090"></a><span class="lineno"> 1090</span>&#160;</div><div class="line"><a name="l01091"></a><span class="lineno"> 1091</span>&#160;ON_DECL</div><div class="line"><a name="l01092"></a><span class="lineno"> 1092</span>&#160;<a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a> </div><div class="line"><a name="l01093"></a><span class="lineno"> 1093</span>&#160;ON_CrossProduct(</div><div class="line"><a name="l01094"></a><span class="lineno"> 1094</span>&#160; <span class="keyword">const</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp;, </div><div class="line"><a name="l01095"></a><span class="lineno"> 1095</span>&#160; <span class="keyword">const</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp; </div><div class="line"><a name="l01096"></a><span class="lineno"> 1096</span>&#160; );</div><div class="line"><a name="l01097"></a><span class="lineno"> 1097</span>&#160;</div><div class="line"><a name="l01098"></a><span class="lineno"> 1098</span>&#160;ON_DECL</div><div class="line"><a name="l01099"></a><span class="lineno"> 1099</span>&#160;<a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a> </div><div class="line"><a name="l01100"></a><span class="lineno"> 1100</span>&#160;ON_CrossProduct( <span class="comment">// 3d cross product for old fashioned arrays</span></div><div class="line"><a name="l01101"></a><span class="lineno"> 1101</span>&#160; <span class="keyword">const</span> <span class="keywordtype">float</span>*, <span class="comment">// array of 3d floats</span></div><div class="line"><a name="l01102"></a><span class="lineno"> 1102</span>&#160; <span class="keyword">const</span> <span class="keywordtype">float</span>* <span class="comment">// array of 3d floats</span></div><div class="line"><a name="l01103"></a><span class="lineno"> 1103</span>&#160; );</div><div class="line"><a name="l01104"></a><span class="lineno"> 1104</span>&#160;</div><div class="line"><a name="l01105"></a><span class="lineno"> 1105</span>&#160;ON_DECL</div><div class="line"><a name="l01106"></a><span class="lineno"> 1106</span>&#160;<span class="keywordtype">float</span> </div><div class="line"><a name="l01107"></a><span class="lineno"> 1107</span>&#160;ON_TripleProduct( </div><div class="line"><a name="l01108"></a><span class="lineno"> 1108</span>&#160; <span class="keyword">const</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp;,</div><div class="line"><a name="l01109"></a><span class="lineno"> 1109</span>&#160; <span class="keyword">const</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp;,</div><div class="line"><a name="l01110"></a><span class="lineno"> 1110</span>&#160; <span class="keyword">const</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp;</div><div class="line"><a name="l01111"></a><span class="lineno"> 1111</span>&#160; );</div><div class="line"><a name="l01112"></a><span class="lineno"> 1112</span>&#160;</div><div class="line"><a name="l01113"></a><span class="lineno"> 1113</span>&#160;ON_DECL</div><div class="line"><a name="l01114"></a><span class="lineno"> 1114</span>&#160;<span class="keywordtype">float</span> </div><div class="line"><a name="l01115"></a><span class="lineno"> 1115</span>&#160;ON_TripleProduct( <span class="comment">// 3d triple product for old fashioned arrays</span></div><div class="line"><a name="l01116"></a><span class="lineno"> 1116</span>&#160; <span class="keyword">const</span> <span class="keywordtype">float</span>*, <span class="comment">// array of 3d floats</span></div><div class="line"><a name="l01117"></a><span class="lineno"> 1117</span>&#160; <span class="keyword">const</span> <span class="keywordtype">float</span>*, <span class="comment">// array of 3d floats</span></div><div class="line"><a name="l01118"></a><span class="lineno"> 1118</span>&#160; <span class="keyword">const</span> <span class="keywordtype">float</span>* <span class="comment">// array of 3d floats</span></div><div class="line"><a name="l01119"></a><span class="lineno"> 1119</span>&#160; );</div><div class="line"><a name="l01120"></a><span class="lineno"> 1120</span>&#160;</div><div class="line"><a name="l01121"></a><span class="lineno"> 1121</span>&#160;ON_DECL</div><div class="line"><a name="l01122"></a><span class="lineno"> 1122</span>&#160;<span class="keywordtype">bool</span> </div><div class="line"><a name="l01123"></a><span class="lineno"> 1123</span>&#160;ON_IsOrthogonalFrame( <span class="comment">// true if X, Y, Z are nonzero and mutually perpendicular</span></div><div class="line"><a name="l01124"></a><span class="lineno"> 1124</span>&#160; <span class="keyword">const</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp;, <span class="comment">// X</span></div><div class="line"><a name="l01125"></a><span class="lineno"> 1125</span>&#160; <span class="keyword">const</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp;, <span class="comment">// Y</span></div><div class="line"><a name="l01126"></a><span class="lineno"> 1126</span>&#160; <span class="keyword">const</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp; <span class="comment">// Z </span></div><div class="line"><a name="l01127"></a><span class="lineno"> 1127</span>&#160; );</div><div class="line"><a name="l01128"></a><span class="lineno"> 1128</span>&#160;</div><div class="line"><a name="l01129"></a><span class="lineno"> 1129</span>&#160;ON_DECL</div><div class="line"><a name="l01130"></a><span class="lineno"> 1130</span>&#160;<span class="keywordtype">bool</span> </div><div class="line"><a name="l01131"></a><span class="lineno"> 1131</span>&#160;ON_IsOrthonormalFrame( <span class="comment">// true if X, Y, Z are orthogonal and unit length</span></div><div class="line"><a name="l01132"></a><span class="lineno"> 1132</span>&#160; <span class="keyword">const</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp;, <span class="comment">// X</span></div><div class="line"><a name="l01133"></a><span class="lineno"> 1133</span>&#160; <span class="keyword">const</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp;, <span class="comment">// Y</span></div><div class="line"><a name="l01134"></a><span class="lineno"> 1134</span>&#160; <span class="keyword">const</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp; <span class="comment">// Z </span></div><div class="line"><a name="l01135"></a><span class="lineno"> 1135</span>&#160; );</div><div class="line"><a name="l01136"></a><span class="lineno"> 1136</span>&#160;</div><div class="line"><a name="l01137"></a><span class="lineno"> 1137</span>&#160;ON_DECL</div><div class="line"><a name="l01138"></a><span class="lineno"> 1138</span>&#160;<span class="keywordtype">bool</span> </div><div class="line"><a name="l01139"></a><span class="lineno"> 1139</span>&#160;ON_IsRightHandFrame( <span class="comment">// true if X, Y, Z are orthonormal and right handed</span></div><div class="line"><a name="l01140"></a><span class="lineno"> 1140</span>&#160; <span class="keyword">const</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp;, <span class="comment">// X</span></div><div class="line"><a name="l01141"></a><span class="lineno"> 1141</span>&#160; <span class="keyword">const</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp;, <span class="comment">// Y</span></div><div class="line"><a name="l01142"></a><span class="lineno"> 1142</span>&#160; <span class="keyword">const</span> <a class="code" href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a>&amp; <span class="comment">// Z </span></div><div class="line"><a name="l01143"></a><span class="lineno"> 1143</span>&#160; );</div><div class="line"><a name="l01144"></a><span class="lineno"> 1144</span>&#160;</div><div class="line"><a name="l01145"></a><span class="lineno"> 1145</span>&#160;<span class="preprocessor">#endif</span></div><div class="ttc" id="class_o_n__2f_vector_html"><div class="ttname"><a href="../../db/df9/class_o_n__2f_vector.html">ON_2fVector</a></div><div class="ttdef"><b>Definition:</b> opennurbs_fpoint.h:556</div></div>
<div class="ttc" id="class_o_n__3f_vector_html"><div class="ttname"><a href="../../db/d80/class_o_n__3f_vector.html">ON_3fVector</a></div><div class="ttdef"><b>Definition:</b> opennurbs_fpoint.h:832</div></div>
<div class="ttc" id="class_o_n__2f_point_html_a07685b9037fd387c786b7b2fdfedae90"><div class="ttname"><a href="../../de/d5b/class_o_n__2f_point.html#a07685b9037fd387c786b7b2fdfedae90">ON_2fPoint::Origin</a></div><div class="ttdeci">static const ON_2fPoint Origin</div><div class="ttdef"><b>Definition:</b> opennurbs_fpoint.h:51</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__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__2f_point_html_aa22a21f91d1840f3f74b2ddd2046b4c5"><div class="ttname"><a href="../../de/d5b/class_o_n__2f_point.html#aa22a21f91d1840f3f74b2ddd2046b4c5">ON_2fPoint::y</a></div><div class="ttdeci">float y</div><div class="ttdef"><b>Definition:</b> opennurbs_fpoint.h:41</div></div>
<div class="ttc" id="class_o_n__2f_point_html_aca0217425843178e12fdbf1484b38e52"><div class="ttname"><a href="../../de/d5b/class_o_n__2f_point.html#aca0217425843178e12fdbf1484b38e52">ON_2fPoint::NanPoint</a></div><div class="ttdeci">static const ON_2fPoint NanPoint</div><div class="ttdef"><b>Definition:</b> opennurbs_fpoint.h:52</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"><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__2f_point_html"><div class="ttname"><a href="../../de/d5b/class_o_n__2f_point.html">ON_2fPoint</a></div><div class="ttdef"><b>Definition:</b> opennurbs_fpoint.h:38</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__4f_point_html"><div class="ttname"><a href="../../db/d8c/class_o_n__4f_point.html">ON_4fPoint</a></div><div class="ttdef"><b>Definition:</b> opennurbs_fpoint.h:385</div></div>
<div class="ttc" id="class_o_n__2d_vector_html"><div class="ttname"><a href="../../da/d08/class_o_n__2d_vector.html">ON_2dVector</a></div><div class="ttdef"><b>Definition:</b> opennurbs_point.h:839</div></div>
<div class="ttc" id="class_o_n__3d_vector_html"><div class="ttname"><a href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a></div><div class="ttdef"><b>Definition:</b> opennurbs_point.h:1152</div></div>
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