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<div class="title">al_Plane.hpp</div> </div>
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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="preprocessor">#ifndef INCLUDE_AL_PLANE_HPP</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="preprocessor">#define INCLUDE_AL_PLANE_HPP</span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span>  </div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment">/* Allocore --</span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> Multimedia / virtual environment application class library</span></div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"></span> </div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> Copyright (C) 2009. AlloSphere Research Group, Media Arts & Technology, UCSB.</span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> Copyright (C) 2012. The Regents of the University of California.</span></div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="comment"> All rights reserved.</span></div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="comment"></span> </div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="comment"> Redistribution and use in source and binary forms, with or without</span></div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="comment"> modification, are permitted provided that the following conditions are met:</span></div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="comment"></span> </div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="comment"> Redistributions of source code must retain the above copyright notice,</span></div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="comment"> this list of conditions and the following disclaimer.</span></div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="comment"></span> </div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="comment"> Redistributions in binary form must reproduce the above copyright</span></div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="comment"> notice, this list of conditions and the following disclaimer in the</span></div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="comment"> documentation and/or other materials provided with the distribution.</span></div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span> <span class="comment"></span> </div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span> <span class="comment"> Neither the name of the University of California nor the names of its</span></div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span> <span class="comment"> contributors may be used to endorse or promote products derived from</span></div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="comment"> this software without specific prior written permission.</span></div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="comment"></span> </div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="comment"> THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"</span></div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="comment"> AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE</span></div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="comment"> IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE</span></div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="comment"> ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE</span></div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="comment"> LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR</span></div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="comment"> CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF</span></div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="comment"> SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS</span></div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="comment"> INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN</span></div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="comment"> CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)</span></div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="comment"> ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE</span></div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="comment"> POSSIBILITY OF SUCH DAMAGE.</span></div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="comment"></span> </div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="comment"></span> </div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="comment"> File description:</span></div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="comment"> A 3-dimensional plane encoded as a normal and scalar component</span></div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span> <span class="comment"></span> </div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> <span class="comment"> File author(s):</span></div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span> <span class="comment"> Lance Putnam, 2011, [email protected]</span></div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span> <span class="comment">*/</span></div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  </div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span> <span class="preprocessor">#include "al/math/al_Vec.hpp"</span></div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  </div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span> <span class="keyword">namespace </span><a class="code" href="namespaceal.html">al</a> {</div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  </div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span> <span class="keyword">template</span> <<span class="keyword">class</span> T></div>
<div class="line"><a name="l00053"></a><span class="lineno"><a class="line" href="classal_1_1_plane.html"> 53</a></span> <span class="keyword">class </span><a class="code" href="classal_1_1_plane.html">Plane</a> {</div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <span class="keyword">typedef</span> <a class="code" href="classal_1_1_vec.html">al::Vec<3, T></a> <a class="code" href="classal_1_1_vec.html">Vec3</a>;</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  </div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <a class="code" href="classal_1_1_plane.html">Plane</a>() : mNormal(1, 0, 0), mD(0) {}</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <a class="code" href="classal_1_1_plane.html">Plane</a>(<span class="keyword">const</span> <a class="code" href="classal_1_1_vec.html">Vec3</a>& v1, <span class="keyword">const</span> <a class="code" href="classal_1_1_vec.html">Vec3</a>& v2, <span class="keyword">const</span> <a class="code" href="classal_1_1_vec.html">Vec3</a>& v3);</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  </div>
<div class="line"><a name="l00061"></a><span class="lineno"><a class="line" href="classal_1_1_plane.html#a4cbd8d44c954d1fec810e78f0e8aceeb"> 61</a></span>  <span class="keyword">const</span> <a class="code" href="classal_1_1_vec.html">Vec3</a>& <a class="code" href="classal_1_1_plane.html#a4cbd8d44c954d1fec810e78f0e8aceeb">normal</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> mNormal; }</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  </div>
<div class="line"><a name="l00064"></a><span class="lineno"><a class="line" href="classal_1_1_plane.html#aa63b76e210f1bc4453e72fde2ee524a3"> 64</a></span>  T <a class="code" href="classal_1_1_plane.html#aa63b76e210f1bc4453e72fde2ee524a3">d</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> mD; }</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  </div>
<div class="line"><a name="l00067"></a><span class="lineno"><a class="line" href="classal_1_1_plane.html#a2a5e4e237f77ed46175c4de903f9404b"> 67</a></span>  T <a class="code" href="classal_1_1_plane.html#a2a5e4e237f77ed46175c4de903f9404b">distance</a>(<span class="keyword">const</span> <a class="code" href="classal_1_1_vec.html">Vec3</a>& p)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> (mD + mNormal.<a class="code" href="classal_1_1_vec.html#aa5fee82d55d3f5cc48443e1f19903aad">dot</a>(p)); }</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  </div>
<div class="line"><a name="l00070"></a><span class="lineno"><a class="line" href="classal_1_1_plane.html#adffe0b9a9e9e2c44843d817052988210"> 70</a></span>  <span class="keywordtype">bool</span> <a class="code" href="classal_1_1_plane.html#adffe0b9a9e9e2c44843d817052988210">inNegativeSpace</a>(<span class="keyword">const</span> <a class="code" href="classal_1_1_vec.html">Vec3</a>& p)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> mNormal.<a class="code" href="classal_1_1_vec.html#aa5fee82d55d3f5cc48443e1f19903aad">dot</a>(p) < -<a class="code" href="classal_1_1_plane.html#aa63b76e210f1bc4453e72fde2ee524a3">d</a>(); }</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  </div>
<div class="line"><a name="l00073"></a><span class="lineno"><a class="line" href="classal_1_1_plane.html#aba598817fdfe6ada5ce8c4c530f57ed2"> 73</a></span>  <span class="keywordtype">bool</span> <a class="code" href="classal_1_1_plane.html#aba598817fdfe6ada5ce8c4c530f57ed2">inPositiveSpace</a>(<span class="keyword">const</span> <a class="code" href="classal_1_1_vec.html">Vec3</a>& p)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> mNormal.<a class="code" href="classal_1_1_vec.html#aa5fee82d55d3f5cc48443e1f19903aad">dot</a>(p) >= -<a class="code" href="classal_1_1_plane.html#aa63b76e210f1bc4453e72fde2ee524a3">d</a>(); }</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  </div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  </div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  <a class="code" href="classal_1_1_plane.html">Plane</a>& <a class="code" href="classal_1_1_plane.html#a855101434f9b02e3ebed88495e97519d">from3Points</a>(<span class="keyword">const</span> Vec3& v1, <span class="keyword">const</span> Vec3& v2, <span class="keyword">const</span> Vec3& v3);</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  </div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  <a class="code" href="classal_1_1_plane.html">Plane</a>& <a class="code" href="classal_1_1_plane.html#adc035988d21d4dd460b40075ac4791f5">fromNormalAndPoint</a>(<span class="keyword">const</span> Vec3& <a class="code" href="classal_1_1_plane.html#a4cbd8d44c954d1fec810e78f0e8aceeb">normal</a>, <span class="keyword">const</span> Vec3& point);</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  </div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  <a class="code" href="classal_1_1_plane.html">Plane</a>& <a class="code" href="classal_1_1_plane.html#a7ce8c0fdea4f25ed1eedb5203137d5d9">fromCoefficients</a>(T a, T b, T c, T <a class="code" href="classal_1_1_plane.html#aa63b76e210f1bc4453e72fde2ee524a3">d</a>);</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  </div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  <span class="keyword">protected</span>:</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  Vec3 mNormal; <span class="comment">// plane orientation as perp. unit vector</span></div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  T mD; <span class="comment">// plane position as translation factor along normal</span></div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span> };</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  </div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span> <span class="keyword">template</span> <<span class="keyword">class</span> T></div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span> Plane<T>::Plane(<span class="keyword">const</span> Vec3& v1, <span class="keyword">const</span> Vec3& v2, <span class="keyword">const</span> Vec3& v3) {</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  from3Points(v1, v2, v3);</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span> }</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  </div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span> <span class="keyword">template</span> <<span class="keyword">class</span> T></div>
<div class="line"><a name="l00098"></a><span class="lineno"><a class="line" href="classal_1_1_plane.html#a855101434f9b02e3ebed88495e97519d"> 98</a></span> <a class="code" href="classal_1_1_plane.html">Plane<T></a>& <a class="code" href="classal_1_1_plane.html#a855101434f9b02e3ebed88495e97519d">Plane<T>::from3Points</a>(<span class="keyword">const</span> <a class="code" href="classal_1_1_vec.html">Vec3</a>& v1, <span class="keyword">const</span> <a class="code" href="classal_1_1_vec.html">Vec3</a>& v2,</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <span class="keyword">const</span> <a class="code" href="classal_1_1_vec.html">Vec3</a>& v3) {</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  <span class="comment">// return fromNormalAndPoint(cross(v1-v2, v3-v2).normalize(), v2); //</span></div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  <span class="comment">// left-handed</span></div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  <span class="keywordflow">return</span> fromNormalAndPoint(<a class="code" href="namespaceal.html#ad14a4f234c06e599950cccc84adaab80">cross</a>(v3 - v2, v1 - v2).normalize(),</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  v2); <span class="comment">// right-handed</span></div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span> }</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  </div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span> <span class="keyword">template</span> <<span class="keyword">class</span> T></div>
<div class="line"><a name="l00107"></a><span class="lineno"><a class="line" href="classal_1_1_plane.html#adc035988d21d4dd460b40075ac4791f5"> 107</a></span> <a class="code" href="classal_1_1_plane.html">Plane<T></a>& <a class="code" href="classal_1_1_plane.html#adc035988d21d4dd460b40075ac4791f5">Plane<T>::fromNormalAndPoint</a>(<span class="keyword">const</span> <a class="code" href="classal_1_1_vec.html">Vec3</a>& nrm, <span class="keyword">const</span> <a class="code" href="classal_1_1_vec.html">Vec3</a>& point) {</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  mNormal = nrm;</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  mD = -(mNormal.dot(point));</div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span> }</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  </div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span> <span class="keyword">template</span> <<span class="keyword">class</span> T></div>
<div class="line"><a name="l00114"></a><span class="lineno"><a class="line" href="classal_1_1_plane.html#a7ce8c0fdea4f25ed1eedb5203137d5d9"> 114</a></span> <a class="code" href="classal_1_1_plane.html">Plane<T></a>& <a class="code" href="classal_1_1_plane.html#a7ce8c0fdea4f25ed1eedb5203137d5d9">Plane<T>::fromCoefficients</a>(T a, T b, T c, T d) {</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  mNormal(a, b, c);</div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  T l = mNormal.mag();</div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  mNormal(a / l, b / l, c / l);</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  mD = d / l;</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span> }</div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  </div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span> } <span class="comment">// namespace al</span></div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  </div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span> <span class="preprocessor">#endif</span></div>
<div class="ttc" id="aclassal_1_1_plane_html"><div class="ttname"><a href="classal_1_1_plane.html">al::Plane</a></div><div class="ttdef"><b>Definition:</b> <a href="al___plane_8hpp_source.html#l00053">al_Plane.hpp:53</a></div></div>
<div class="ttc" id="aclassal_1_1_plane_html_a2a5e4e237f77ed46175c4de903f9404b"><div class="ttname"><a href="classal_1_1_plane.html#a2a5e4e237f77ed46175c4de903f9404b">al::Plane::distance</a></div><div class="ttdeci">T distance(const Vec3 &p) const</div><div class="ttdoc">Returns distance from plane to point (measured relative to plane normal)</div><div class="ttdef"><b>Definition:</b> <a href="al___plane_8hpp_source.html#l00067">al_Plane.hpp:67</a></div></div>
<div class="ttc" id="aclassal_1_1_plane_html_a4cbd8d44c954d1fec810e78f0e8aceeb"><div class="ttname"><a href="classal_1_1_plane.html#a4cbd8d44c954d1fec810e78f0e8aceeb">al::Plane::normal</a></div><div class="ttdeci">const Vec3 & normal() const</div><div class="ttdoc">Get normal perpendicular to plane (a, b, and c components)</div><div class="ttdef"><b>Definition:</b> <a href="al___plane_8hpp_source.html#l00061">al_Plane.hpp:61</a></div></div>
<div class="ttc" id="aclassal_1_1_plane_html_a7ce8c0fdea4f25ed1eedb5203137d5d9"><div class="ttname"><a href="classal_1_1_plane.html#a7ce8c0fdea4f25ed1eedb5203137d5d9">al::Plane::fromCoefficients</a></div><div class="ttdeci">Plane & fromCoefficients(T a, T b, T c, T d)</div><div class="ttdoc">Set plane from coefficients.</div><div class="ttdef"><b>Definition:</b> <a href="al___plane_8hpp_source.html#l00114">al_Plane.hpp:114</a></div></div>
<div class="ttc" id="aclassal_1_1_plane_html_a855101434f9b02e3ebed88495e97519d"><div class="ttname"><a href="classal_1_1_plane.html#a855101434f9b02e3ebed88495e97519d">al::Plane::from3Points</a></div><div class="ttdeci">Plane & from3Points(const Vec3 &v1, const Vec3 &v2, const Vec3 &v3)</div><div class="ttdoc">Set from three points lying on the plane.</div><div class="ttdef"><b>Definition:</b> <a href="al___plane_8hpp_source.html#l00098">al_Plane.hpp:98</a></div></div>
<div class="ttc" id="aclassal_1_1_plane_html_aa63b76e210f1bc4453e72fde2ee524a3"><div class="ttname"><a href="classal_1_1_plane.html#aa63b76e210f1bc4453e72fde2ee524a3">al::Plane::d</a></div><div class="ttdeci">T d() const</div><div class="ttdoc">Get scalar component of plane equation.</div><div class="ttdef"><b>Definition:</b> <a href="al___plane_8hpp_source.html#l00064">al_Plane.hpp:64</a></div></div>
<div class="ttc" id="aclassal_1_1_plane_html_aba598817fdfe6ada5ce8c4c530f57ed2"><div class="ttname"><a href="classal_1_1_plane.html#aba598817fdfe6ada5ce8c4c530f57ed2">al::Plane::inPositiveSpace</a></div><div class="ttdeci">bool inPositiveSpace(const Vec3 &p) const</div><div class="ttdoc">Returns whether a point is in the positive half-space of the plane.</div><div class="ttdef"><b>Definition:</b> <a href="al___plane_8hpp_source.html#l00073">al_Plane.hpp:73</a></div></div>
<div class="ttc" id="aclassal_1_1_plane_html_adc035988d21d4dd460b40075ac4791f5"><div class="ttname"><a href="classal_1_1_plane.html#adc035988d21d4dd460b40075ac4791f5">al::Plane::fromNormalAndPoint</a></div><div class="ttdeci">Plane & fromNormalAndPoint(const Vec3 &normal, const Vec3 &point)</div><div class="ttdoc">Set plane from a unit length normal and point lying on the plane.</div><div class="ttdef"><b>Definition:</b> <a href="al___plane_8hpp_source.html#l00107">al_Plane.hpp:107</a></div></div>
<div class="ttc" id="aclassal_1_1_plane_html_adffe0b9a9e9e2c44843d817052988210"><div class="ttname"><a href="classal_1_1_plane.html#adffe0b9a9e9e2c44843d817052988210">al::Plane::inNegativeSpace</a></div><div class="ttdeci">bool inNegativeSpace(const Vec3 &p) const</div><div class="ttdoc">Returns whether a point is in the negative half-space of the plane.</div><div class="ttdef"><b>Definition:</b> <a href="al___plane_8hpp_source.html#l00070">al_Plane.hpp:70</a></div></div>
<div class="ttc" id="aclassal_1_1_vec_html"><div class="ttname"><a href="classal_1_1_vec.html">al::Vec< 3, T ></a></div></div>
<div class="ttc" id="aclassal_1_1_vec_html_aa5fee82d55d3f5cc48443e1f19903aad"><div class="ttname"><a href="classal_1_1_vec.html#aa5fee82d55d3f5cc48443e1f19903aad">al::Vec::dot</a></div><div class="ttdeci">T dot(const Vec< N, U > &v) const</div><div class="ttdoc">Returns dot (inner) product between vectors.</div><div class="ttdef"><b>Definition:</b> <a href="al___vec_8hpp_source.html#l00406">al_Vec.hpp:406</a></div></div>
<div class="ttc" id="anamespaceal_html"><div class="ttname"><a href="namespaceal.html">al</a></div><div class="ttdef"><b>Definition:</b> <a href="al___app_8hpp_source.html#l00023">al_App.hpp:23</a></div></div>
<div class="ttc" id="anamespaceal_html_ad14a4f234c06e599950cccc84adaab80"><div class="ttname"><a href="namespaceal.html#ad14a4f234c06e599950cccc84adaab80">al::cross</a></div><div class="ttdeci">void cross(Vec< 3, T > &r, const Vec< 3, T > &a, const Vec< 3, T > &b)</div><div class="ttdoc">Sets r to cross product, a x b.</div><div class="ttdef"><b>Definition:</b> <a href="al___vec_8hpp_source.html#l00574">al_Vec.hpp:574</a></div></div>
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