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<div id="projectname">Chipmunk2D Pro API Reference
 <span id="projectnumber">7.0.1</span>
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<li class="navelem"><a class="el" href="dir_d44c64559bbebec7f509842c48db8b23.html">include</a></li><li class="navelem"><a class="el" href="dir_b3ea4b336b4fb233f74b44c85fbba508.html">chipmunk</a></li> </ul>
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<div class="title">cpVect.h</div> </div>
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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/* Copyright (c) 2013 Scott Lembcke and Howling Moon Software</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * </span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * Permission is hereby granted, free of charge, to any person obtaining a copy</span></div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> * of this software and associated documentation files (the "Software"), to deal</span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * in the Software without restriction, including without limitation the rights</span></div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell</span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * copies of the Software, and to permit persons to whom the Software is</span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> * furnished to do so, subject to the following conditions:</span></div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="comment"> * </span></div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="comment"> * The above copyright notice and this permission notice shall be included in</span></div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="comment"> * all copies or substantial portions of the Software.</span></div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="comment"> * </span></div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="comment"> * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR</span></div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="comment"> * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,</span></div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="comment"> * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE</span></div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="comment"> * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER</span></div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="comment"> * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,</span></div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="comment"> * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE</span></div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="comment"> * SOFTWARE.</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> </div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span> <span class="preprocessor">#ifndef CHIPMUNK_VECT_H</span></div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="preprocessor"></span><span class="preprocessor">#define CHIPMUNK_VECT_H</span></div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#include "chipmunk_types.h"</span></div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> </div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> </div>
<div class="line"><a name="l00032"></a><span class="lineno"><a class="code" href="group__cp_vect.html#ga18f97c9678bcb262ce182f336dad2318"> 32</a></span> <span class="keyword">static</span> <span class="keyword">const</span> <a class="code" href="structcp_vect.html">cpVect</a> <a class="code" href="group__cp_vect.html#ga18f97c9678bcb262ce182f336dad2318" title="Constant for the zero vector.">cpvzero</a> = {0.0f,0.0f};</div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> </div>
<div class="line"><a name="l00035"></a><span class="lineno"><a class="code" href="group__cp_vect.html#ga80c0be464748ff46ad20b58e22ea7d81"> 35</a></span> <span class="keyword">static</span> <span class="keyword">inline</span> <a class="code" href="structcp_vect.html">cpVect</a> <a class="code" href="group__cp_vect.html#ga80c0be464748ff46ad20b58e22ea7d81" title="Convenience constructor for cpVect structs.">cpv</a>(<span class="keyword">const</span> <a class="code" href="group__basic_types.html#gac1ed65573e035bf892505768c852d8d3" title="Chipmunk's floating point type.">cpFloat</a> x, <span class="keyword">const</span> <a class="code" href="group__basic_types.html#gac1ed65573e035bf892505768c852d8d3" title="Chipmunk's floating point type.">cpFloat</a> y)</div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> {</div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  <a class="code" href="structcp_vect.html">cpVect</a> v = {x, y};</div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  <span class="keywordflow">return</span> v;</div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> }</div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span> </div>
<div class="line"><a name="l00042"></a><span class="lineno"><a class="code" href="group__cp_vect.html#gae5081f933bcc2c64c76d7e7caaf2d631"> 42</a></span> <span class="keyword">static</span> <span class="keyword">inline</span> <a class="code" href="group__basic_types.html#gabc5e752c48f3449ca26ef413ecbd647e" title="Chipmunk's boolean type.">cpBool</a> <a class="code" href="group__cp_vect.html#gae5081f933bcc2c64c76d7e7caaf2d631" title="Check if two vectors are equal. (Be careful when comparing floating point numbers!)">cpveql</a>(<span class="keyword">const</span> <a class="code" href="structcp_vect.html">cpVect</a> v1, <span class="keyword">const</span> <a class="code" href="structcp_vect.html">cpVect</a> v2)</div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span> {</div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  <span class="keywordflow">return</span> (v1.x == v2.x && v1.y == v2.y);</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span> }</div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span> </div>
<div class="line"><a name="l00048"></a><span class="lineno"><a class="code" href="group__cp_vect.html#ga167e0bde13a745299bd5d4164d7c796b"> 48</a></span> <span class="keyword">static</span> <span class="keyword">inline</span> <a class="code" href="structcp_vect.html">cpVect</a> <a class="code" href="group__cp_vect.html#ga167e0bde13a745299bd5d4164d7c796b" title="Add two vectors.">cpvadd</a>(<span class="keyword">const</span> <a class="code" href="structcp_vect.html">cpVect</a> v1, <span class="keyword">const</span> <a class="code" href="structcp_vect.html">cpVect</a> v2)</div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span> {</div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  <span class="keywordflow">return</span> <a class="code" href="group__cp_vect.html#ga80c0be464748ff46ad20b58e22ea7d81" title="Convenience constructor for cpVect structs.">cpv</a>(v1.x + v2.x, v1.y + v2.y);</div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span> }</div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span> </div>
<div class="line"><a name="l00054"></a><span class="lineno"><a class="code" href="group__cp_vect.html#gafd88a5bbd4b5de25aa31e44fdf01e259"> 54</a></span> <span class="keyword">static</span> <span class="keyword">inline</span> <a class="code" href="structcp_vect.html">cpVect</a> <a class="code" href="group__cp_vect.html#gafd88a5bbd4b5de25aa31e44fdf01e259" title="Subtract two vectors.">cpvsub</a>(<span class="keyword">const</span> <a class="code" href="structcp_vect.html">cpVect</a> v1, <span class="keyword">const</span> <a class="code" href="structcp_vect.html">cpVect</a> v2)</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span> {</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <span class="keywordflow">return</span> <a class="code" href="group__cp_vect.html#ga80c0be464748ff46ad20b58e22ea7d81" title="Convenience constructor for cpVect structs.">cpv</a>(v1.x - v2.x, v1.y - v2.y);</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span> }</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span> </div>
<div class="line"><a name="l00060"></a><span class="lineno"><a class="code" href="group__cp_vect.html#gab79a1d52de40bf0f7db5134da436426b"> 60</a></span> <span class="keyword">static</span> <span class="keyword">inline</span> <a class="code" href="structcp_vect.html">cpVect</a> <a class="code" href="group__cp_vect.html#gab79a1d52de40bf0f7db5134da436426b" title="Negate a vector.">cpvneg</a>(<span class="keyword">const</span> <a class="code" href="structcp_vect.html">cpVect</a> v)</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span> {</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  <span class="keywordflow">return</span> <a class="code" href="group__cp_vect.html#ga80c0be464748ff46ad20b58e22ea7d81" title="Convenience constructor for cpVect structs.">cpv</a>(-v.x, -v.y);</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span> }</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span> </div>
<div class="line"><a name="l00066"></a><span class="lineno"><a class="code" href="group__cp_vect.html#ga717188d925550baf62188b5e1e602047"> 66</a></span> <span class="keyword">static</span> <span class="keyword">inline</span> <a class="code" href="structcp_vect.html">cpVect</a> <a class="code" href="group__cp_vect.html#ga717188d925550baf62188b5e1e602047" title="Scalar multiplication.">cpvmult</a>(<span class="keyword">const</span> <a class="code" href="structcp_vect.html">cpVect</a> v, <span class="keyword">const</span> <a class="code" href="group__basic_types.html#gac1ed65573e035bf892505768c852d8d3" title="Chipmunk's floating point type.">cpFloat</a> s)</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span> {</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <span class="keywordflow">return</span> <a class="code" href="group__cp_vect.html#ga80c0be464748ff46ad20b58e22ea7d81" title="Convenience constructor for cpVect structs.">cpv</a>(v.x*s, v.y*s);</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span> }</div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span> </div>
<div class="line"><a name="l00072"></a><span class="lineno"><a class="code" href="group__cp_vect.html#ga3e76653b018d47f864c339092cf482f1"> 72</a></span> <span class="keyword">static</span> <span class="keyword">inline</span> <a class="code" href="group__basic_types.html#gac1ed65573e035bf892505768c852d8d3" title="Chipmunk's floating point type.">cpFloat</a> <a class="code" href="group__cp_vect.html#ga3e76653b018d47f864c339092cf482f1" title="Vector dot product.">cpvdot</a>(<span class="keyword">const</span> <a class="code" href="structcp_vect.html">cpVect</a> v1, <span class="keyword">const</span> <a class="code" href="structcp_vect.html">cpVect</a> v2)</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span> {</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  <span class="keywordflow">return</span> v1.x*v2.x + v1.y*v2.y;</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span> }</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span> </div>
<div class="line"><a name="l00080"></a><span class="lineno"><a class="code" href="group__cp_vect.html#gaf9618b7690ad0c67dbe143c640590f7b"> 80</a></span> <span class="keyword">static</span> <span class="keyword">inline</span> <a class="code" href="group__basic_types.html#gac1ed65573e035bf892505768c852d8d3" title="Chipmunk's floating point type.">cpFloat</a> <a class="code" href="group__cp_vect.html#gaf9618b7690ad0c67dbe143c640590f7b" title="2D vector cross product analog.">cpvcross</a>(<span class="keyword">const</span> <a class="code" href="structcp_vect.html">cpVect</a> v1, <span class="keyword">const</span> <a class="code" href="structcp_vect.html">cpVect</a> v2)</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span> {</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  <span class="keywordflow">return</span> v1.x*v2.y - v1.y*v2.x;</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span> }</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span> </div>
<div class="line"><a name="l00086"></a><span class="lineno"><a class="code" href="group__cp_vect.html#gac4a0ba2873900342126c0449918764bc"> 86</a></span> <span class="keyword">static</span> <span class="keyword">inline</span> <a class="code" href="structcp_vect.html">cpVect</a> <a class="code" href="group__cp_vect.html#gac4a0ba2873900342126c0449918764bc" title="Returns a perpendicular vector. (90 degree rotation)">cpvperp</a>(<span class="keyword">const</span> <a class="code" href="structcp_vect.html">cpVect</a> v)</div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span> {</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  <span class="keywordflow">return</span> <a class="code" href="group__cp_vect.html#ga80c0be464748ff46ad20b58e22ea7d81" title="Convenience constructor for cpVect structs.">cpv</a>(-v.y, v.x);</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span> }</div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span> </div>
<div class="line"><a name="l00092"></a><span class="lineno"><a class="code" href="group__cp_vect.html#ga0be2829df5c1be940484fb64b7cab61e"> 92</a></span> <span class="keyword">static</span> <span class="keyword">inline</span> <a class="code" href="structcp_vect.html">cpVect</a> <a class="code" href="group__cp_vect.html#ga0be2829df5c1be940484fb64b7cab61e" title="Returns a perpendicular vector. (-90 degree rotation)">cpvrperp</a>(<span class="keyword">const</span> <a class="code" href="structcp_vect.html">cpVect</a> v)</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span> {</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  <span class="keywordflow">return</span> <a class="code" href="group__cp_vect.html#ga80c0be464748ff46ad20b58e22ea7d81" title="Convenience constructor for cpVect structs.">cpv</a>(v.y, -v.x);</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="l00098"></a><span class="lineno"><a class="code" href="group__cp_vect.html#gae9c42ec78caa7971459d10543b1549cd"> 98</a></span> <span class="keyword">static</span> <span class="keyword">inline</span> <a class="code" href="structcp_vect.html">cpVect</a> <a class="code" href="group__cp_vect.html#gae9c42ec78caa7971459d10543b1549cd" title="Returns the vector projection of v1 onto v2.">cpvproject</a>(<span class="keyword">const</span> <a class="code" href="structcp_vect.html">cpVect</a> v1, <span class="keyword">const</span> <a class="code" href="structcp_vect.html">cpVect</a> v2)</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span> {</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  <span class="keywordflow">return</span> <a class="code" href="group__cp_vect.html#ga717188d925550baf62188b5e1e602047" title="Scalar multiplication.">cpvmult</a>(v2, <a class="code" href="group__cp_vect.html#ga3e76653b018d47f864c339092cf482f1" title="Vector dot product.">cpvdot</a>(v1, v2)/<a class="code" href="group__cp_vect.html#ga3e76653b018d47f864c339092cf482f1" title="Vector dot product.">cpvdot</a>(v2, v2));</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span> }</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span> </div>
<div class="line"><a name="l00104"></a><span class="lineno"><a class="code" href="group__cp_vect.html#gafa534ef07bb623104c576f63cbc6334a"> 104</a></span> <span class="keyword">static</span> <span class="keyword">inline</span> <a class="code" href="structcp_vect.html">cpVect</a> <a class="code" href="group__cp_vect.html#gafa534ef07bb623104c576f63cbc6334a" title="Returns the unit length vector for the given angle (in radians).">cpvforangle</a>(<span class="keyword">const</span> <a class="code" href="group__basic_types.html#gac1ed65573e035bf892505768c852d8d3" title="Chipmunk's floating point type.">cpFloat</a> a)</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="keywordflow">return</span> <a class="code" href="group__cp_vect.html#ga80c0be464748ff46ad20b58e22ea7d81" title="Convenience constructor for cpVect structs.">cpv</a>(cpfcos(a), cpfsin(a));</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span> }</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span> </div>
<div class="line"><a name="l00110"></a><span class="lineno"><a class="code" href="group__cp_vect.html#ga8ee2e1733c8ed09f2230a5788bd284e9"> 110</a></span> <span class="keyword">static</span> <span class="keyword">inline</span> <a class="code" href="group__basic_types.html#gac1ed65573e035bf892505768c852d8d3" title="Chipmunk's floating point type.">cpFloat</a> <a class="code" href="group__cp_vect.html#ga8ee2e1733c8ed09f2230a5788bd284e9" title="Returns the angular direction v is pointing in (in radians).">cpvtoangle</a>(<span class="keyword">const</span> <a class="code" href="structcp_vect.html">cpVect</a> v)</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>  <span class="keywordflow">return</span> cpfatan2(v.y, v.x);</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span> }</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span> </div>
<div class="line"><a name="l00116"></a><span class="lineno"><a class="code" href="group__cp_vect.html#gac9a0bb9221f9f2068a48985fa70b5226"> 116</a></span> <span class="keyword">static</span> <span class="keyword">inline</span> <a class="code" href="structcp_vect.html">cpVect</a> <a class="code" href="group__cp_vect.html#gac9a0bb9221f9f2068a48985fa70b5226" title="Uses complex number multiplication to rotate v1 by v2. Scaling will occur if v1 is not a unit vector...">cpvrotate</a>(<span class="keyword">const</span> <a class="code" href="structcp_vect.html">cpVect</a> v1, <span class="keyword">const</span> <a class="code" href="structcp_vect.html">cpVect</a> v2)</div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span> {</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  <span class="keywordflow">return</span> <a class="code" href="group__cp_vect.html#ga80c0be464748ff46ad20b58e22ea7d81" title="Convenience constructor for cpVect structs.">cpv</a>(v1.x*v2.x - v1.y*v2.y, v1.x*v2.y + v1.y*v2.x);</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span> }</div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span> </div>
<div class="line"><a name="l00122"></a><span class="lineno"><a class="code" href="group__cp_vect.html#gac2b1120be08ee9225eadede83f5e054b"> 122</a></span> <span class="keyword">static</span> <span class="keyword">inline</span> <a class="code" href="structcp_vect.html">cpVect</a> <a class="code" href="group__cp_vect.html#gac2b1120be08ee9225eadede83f5e054b" title="Inverse of cpvrotate().">cpvunrotate</a>(<span class="keyword">const</span> <a class="code" href="structcp_vect.html">cpVect</a> v1, <span class="keyword">const</span> <a class="code" href="structcp_vect.html">cpVect</a> v2)</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="keywordflow">return</span> <a class="code" href="group__cp_vect.html#ga80c0be464748ff46ad20b58e22ea7d81" title="Convenience constructor for cpVect structs.">cpv</a>(v1.x*v2.x + v1.y*v2.y, v1.y*v2.x - v1.x*v2.y);</div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span> }</div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span> </div>
<div class="line"><a name="l00128"></a><span class="lineno"><a class="code" href="group__cp_vect.html#gadfad8e091ac399cdc377a9c475f7ef0d"> 128</a></span> <span class="keyword">static</span> <span class="keyword">inline</span> <a class="code" href="group__basic_types.html#gac1ed65573e035bf892505768c852d8d3" title="Chipmunk's floating point type.">cpFloat</a> <a class="code" href="group__cp_vect.html#gadfad8e091ac399cdc377a9c475f7ef0d" title="Returns the squared length of v. Faster than cpvlength() when you only need to compare lengths...">cpvlengthsq</a>(<span class="keyword">const</span> <a class="code" href="structcp_vect.html">cpVect</a> v)</div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span> {</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  <span class="keywordflow">return</span> <a class="code" href="group__cp_vect.html#ga3e76653b018d47f864c339092cf482f1" title="Vector dot product.">cpvdot</a>(v, v);</div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span> }</div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span> </div>
<div class="line"><a name="l00134"></a><span class="lineno"><a class="code" href="group__cp_vect.html#ga9bfe76d8e3c69edb6af7b0d9a63001f9"> 134</a></span> <span class="keyword">static</span> <span class="keyword">inline</span> <a class="code" href="group__basic_types.html#gac1ed65573e035bf892505768c852d8d3" title="Chipmunk's floating point type.">cpFloat</a> <a class="code" href="group__cp_vect.html#ga9bfe76d8e3c69edb6af7b0d9a63001f9" title="Returns the length of v.">cpvlength</a>(<span class="keyword">const</span> <a class="code" href="structcp_vect.html">cpVect</a> v)</div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span> {</div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  <span class="keywordflow">return</span> cpfsqrt(<a class="code" href="group__cp_vect.html#ga3e76653b018d47f864c339092cf482f1" title="Vector dot product.">cpvdot</a>(v, v));</div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span> }</div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span> </div>
<div class="line"><a name="l00140"></a><span class="lineno"><a class="code" href="group__cp_vect.html#gab93f4924f5369c10782de6dba5ef38da"> 140</a></span> <span class="keyword">static</span> <span class="keyword">inline</span> <a class="code" href="structcp_vect.html">cpVect</a> <a class="code" href="group__cp_vect.html#gab93f4924f5369c10782de6dba5ef38da" title="Linearly interpolate between v1 and v2.">cpvlerp</a>(<span class="keyword">const</span> <a class="code" href="structcp_vect.html">cpVect</a> v1, <span class="keyword">const</span> <a class="code" href="structcp_vect.html">cpVect</a> v2, <span class="keyword">const</span> <a class="code" href="group__basic_types.html#gac1ed65573e035bf892505768c852d8d3" title="Chipmunk's floating point type.">cpFloat</a> t)</div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span> {</div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  <span class="keywordflow">return</span> <a class="code" href="group__cp_vect.html#ga167e0bde13a745299bd5d4164d7c796b" title="Add two vectors.">cpvadd</a>(<a class="code" href="group__cp_vect.html#ga717188d925550baf62188b5e1e602047" title="Scalar multiplication.">cpvmult</a>(v1, 1.0f - t), <a class="code" href="group__cp_vect.html#ga717188d925550baf62188b5e1e602047" title="Scalar multiplication.">cpvmult</a>(v2, t));</div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span> }</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span> </div>
<div class="line"><a name="l00146"></a><span class="lineno"><a class="code" href="group__cp_vect.html#ga0fd46c6ef6dcca0dc7b6c6cef8008758"> 146</a></span> <span class="keyword">static</span> <span class="keyword">inline</span> <a class="code" href="structcp_vect.html">cpVect</a> <a class="code" href="group__cp_vect.html#ga0fd46c6ef6dcca0dc7b6c6cef8008758" title="Returns a normalized copy of v.">cpvnormalize</a>(<span class="keyword">const</span> <a class="code" href="structcp_vect.html">cpVect</a> v)</div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span> {</div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  <span class="comment">// Neat trick I saw somewhere to avoid div/0.</span></div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  <span class="keywordflow">return</span> <a class="code" href="group__cp_vect.html#ga717188d925550baf62188b5e1e602047" title="Scalar multiplication.">cpvmult</a>(v, 1.0f/(<a class="code" href="group__cp_vect.html#ga9bfe76d8e3c69edb6af7b0d9a63001f9" title="Returns the length of v.">cpvlength</a>(v) + CPFLOAT_MIN));</div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span> }</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span> </div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span> <span class="keyword">static</span> <span class="keyword">inline</span> <a class="code" href="structcp_vect.html">cpVect</a></div>
<div class="line"><a name="l00154"></a><span class="lineno"><a class="code" href="group__cp_vect.html#ga6c7b8f231543383431aeb80e61255e04"> 154</a></span> <a class="code" href="group__cp_vect.html#ga6c7b8f231543383431aeb80e61255e04" title="Spherical linearly interpolate between v1 and v2.">cpvslerp</a>(<span class="keyword">const</span> <a class="code" href="structcp_vect.html">cpVect</a> v1, <span class="keyword">const</span> <a class="code" href="structcp_vect.html">cpVect</a> v2, <span class="keyword">const</span> <a class="code" href="group__basic_types.html#gac1ed65573e035bf892505768c852d8d3" title="Chipmunk's floating point type.">cpFloat</a> t)</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span> {</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  <a class="code" href="group__basic_types.html#gac1ed65573e035bf892505768c852d8d3" title="Chipmunk's floating point type.">cpFloat</a> dot = <a class="code" href="group__cp_vect.html#ga3e76653b018d47f864c339092cf482f1" title="Vector dot product.">cpvdot</a>(<a class="code" href="group__cp_vect.html#ga0fd46c6ef6dcca0dc7b6c6cef8008758" title="Returns a normalized copy of v.">cpvnormalize</a>(v1), <a class="code" href="group__cp_vect.html#ga0fd46c6ef6dcca0dc7b6c6cef8008758" title="Returns a normalized copy of v.">cpvnormalize</a>(v2));</div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  <a class="code" href="group__basic_types.html#gac1ed65573e035bf892505768c852d8d3" title="Chipmunk's floating point type.">cpFloat</a> omega = cpfacos(<a class="code" href="group__basic_types.html#ga2498b1f14da6398233b93e457d37327e" title="Clamp f to be between min and max.">cpfclamp</a>(dot, -1.0f, 1.0f));</div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  </div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  <span class="keywordflow">if</span>(omega < 1e-3){</div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  <span class="comment">// If the angle between two vectors is very small, lerp instead to avoid precision issues.</span></div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  <span class="keywordflow">return</span> <a class="code" href="group__cp_vect.html#gab93f4924f5369c10782de6dba5ef38da" title="Linearly interpolate between v1 and v2.">cpvlerp</a>(v1, v2, t);</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  <a class="code" href="group__basic_types.html#gac1ed65573e035bf892505768c852d8d3" title="Chipmunk's floating point type.">cpFloat</a> denom = 1.0f/cpfsin(omega);</div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  <span class="keywordflow">return</span> <a class="code" href="group__cp_vect.html#ga167e0bde13a745299bd5d4164d7c796b" title="Add two vectors.">cpvadd</a>(<a class="code" href="group__cp_vect.html#ga717188d925550baf62188b5e1e602047" title="Scalar multiplication.">cpvmult</a>(v1, cpfsin((1.0f - t)*omega)*denom), <a class="code" href="group__cp_vect.html#ga717188d925550baf62188b5e1e602047" title="Scalar multiplication.">cpvmult</a>(v2, cpfsin(t*omega)*denom));</div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  }</div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span> }</div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span> </div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span> <span class="keyword">static</span> <span class="keyword">inline</span> <a class="code" href="structcp_vect.html">cpVect</a></div>
<div class="line"><a name="l00170"></a><span class="lineno"><a class="code" href="group__cp_vect.html#gad81f538a3add6e5e1498645ebecb8ed1"> 170</a></span> <a class="code" href="group__cp_vect.html#gad81f538a3add6e5e1498645ebecb8ed1" title="Spherical linearly interpolate between v1 towards v2 by no more than angle a radians.">cpvslerpconst</a>(<span class="keyword">const</span> <a class="code" href="structcp_vect.html">cpVect</a> v1, <span class="keyword">const</span> <a class="code" href="structcp_vect.html">cpVect</a> v2, <span class="keyword">const</span> <a class="code" href="group__basic_types.html#gac1ed65573e035bf892505768c852d8d3" title="Chipmunk's floating point type.">cpFloat</a> a)</div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span> {</div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  <a class="code" href="group__basic_types.html#gac1ed65573e035bf892505768c852d8d3" title="Chipmunk's floating point type.">cpFloat</a> dot = <a class="code" href="group__cp_vect.html#ga3e76653b018d47f864c339092cf482f1" title="Vector dot product.">cpvdot</a>(<a class="code" href="group__cp_vect.html#ga0fd46c6ef6dcca0dc7b6c6cef8008758" title="Returns a normalized copy of v.">cpvnormalize</a>(v1), <a class="code" href="group__cp_vect.html#ga0fd46c6ef6dcca0dc7b6c6cef8008758" title="Returns a normalized copy of v.">cpvnormalize</a>(v2));</div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  <a class="code" href="group__basic_types.html#gac1ed65573e035bf892505768c852d8d3" title="Chipmunk's floating point type.">cpFloat</a> omega = cpfacos(<a class="code" href="group__basic_types.html#ga2498b1f14da6398233b93e457d37327e" title="Clamp f to be between min and max.">cpfclamp</a>(dot, -1.0f, 1.0f));</div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  </div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  <span class="keywordflow">return</span> <a class="code" href="group__cp_vect.html#ga6c7b8f231543383431aeb80e61255e04" title="Spherical linearly interpolate between v1 and v2.">cpvslerp</a>(v1, v2, <a class="code" href="group__basic_types.html#gacd9e5acf99997b74b13d720f835a2c17" title="Return the min of two cpFloats.">cpfmin</a>(a, omega)/omega);</div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span> }</div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span> </div>
<div class="line"><a name="l00179"></a><span class="lineno"><a class="code" href="group__cp_vect.html#ga21bac66ee11661debe4d1ddfb710f5f8"> 179</a></span> <span class="keyword">static</span> <span class="keyword">inline</span> <a class="code" href="structcp_vect.html">cpVect</a> <a class="code" href="group__cp_vect.html#ga21bac66ee11661debe4d1ddfb710f5f8" title="Clamp v to length len.">cpvclamp</a>(<span class="keyword">const</span> <a class="code" href="structcp_vect.html">cpVect</a> v, <span class="keyword">const</span> <a class="code" href="group__basic_types.html#gac1ed65573e035bf892505768c852d8d3" title="Chipmunk's floating point type.">cpFloat</a> len)</div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span> {</div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  <span class="keywordflow">return</span> (<a class="code" href="group__cp_vect.html#ga3e76653b018d47f864c339092cf482f1" title="Vector dot product.">cpvdot</a>(v,v) > len*len) ? <a class="code" href="group__cp_vect.html#ga717188d925550baf62188b5e1e602047" title="Scalar multiplication.">cpvmult</a>(<a class="code" href="group__cp_vect.html#ga0fd46c6ef6dcca0dc7b6c6cef8008758" title="Returns a normalized copy of v.">cpvnormalize</a>(v), len) : v;</div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span> }</div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span> </div>
<div class="line"><a name="l00185"></a><span class="lineno"><a class="code" href="group__cp_vect.html#gaaf91d2bdafb741a35ab2dc6300d9fa81"> 185</a></span> <span class="keyword">static</span> <span class="keyword">inline</span> <a class="code" href="structcp_vect.html">cpVect</a> <a class="code" href="group__cp_vect.html#gaaf91d2bdafb741a35ab2dc6300d9fa81" title="Linearly interpolate between v1 towards v2 by distance d.">cpvlerpconst</a>(<a class="code" href="structcp_vect.html">cpVect</a> v1, <a class="code" href="structcp_vect.html">cpVect</a> v2, <a class="code" href="group__basic_types.html#gac1ed65573e035bf892505768c852d8d3" title="Chipmunk's floating point type.">cpFloat</a> d)</div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span> {</div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  <span class="keywordflow">return</span> <a class="code" href="group__cp_vect.html#ga167e0bde13a745299bd5d4164d7c796b" title="Add two vectors.">cpvadd</a>(v1, <a class="code" href="group__cp_vect.html#ga21bac66ee11661debe4d1ddfb710f5f8" title="Clamp v to length len.">cpvclamp</a>(<a class="code" href="group__cp_vect.html#gafd88a5bbd4b5de25aa31e44fdf01e259" title="Subtract two vectors.">cpvsub</a>(v2, v1), d));</div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span> }</div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span> </div>
<div class="line"><a name="l00191"></a><span class="lineno"><a class="code" href="group__cp_vect.html#ga07488fb10c3ffb842b78ae66a2d90c00"> 191</a></span> <span class="keyword">static</span> <span class="keyword">inline</span> <a class="code" href="group__basic_types.html#gac1ed65573e035bf892505768c852d8d3" title="Chipmunk's floating point type.">cpFloat</a> <a class="code" href="group__cp_vect.html#ga07488fb10c3ffb842b78ae66a2d90c00" title="Returns the distance between v1 and v2.">cpvdist</a>(<span class="keyword">const</span> <a class="code" href="structcp_vect.html">cpVect</a> v1, <span class="keyword">const</span> <a class="code" href="structcp_vect.html">cpVect</a> v2)</div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span> {</div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  <span class="keywordflow">return</span> <a class="code" href="group__cp_vect.html#ga9bfe76d8e3c69edb6af7b0d9a63001f9" title="Returns the length of v.">cpvlength</a>(<a class="code" href="group__cp_vect.html#gafd88a5bbd4b5de25aa31e44fdf01e259" title="Subtract two vectors.">cpvsub</a>(v1, v2));</div>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span> }</div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span> </div>
<div class="line"><a name="l00197"></a><span class="lineno"><a class="code" href="group__cp_vect.html#gadb0ce5353909318beb7ee3163f7c3152"> 197</a></span> <span class="keyword">static</span> <span class="keyword">inline</span> <a class="code" href="group__basic_types.html#gac1ed65573e035bf892505768c852d8d3" title="Chipmunk's floating point type.">cpFloat</a> <a class="code" href="group__cp_vect.html#gadb0ce5353909318beb7ee3163f7c3152" title="Returns the squared distance between v1 and v2. Faster than cpvdist() when you only need to compare d...">cpvdistsq</a>(<span class="keyword">const</span> <a class="code" href="structcp_vect.html">cpVect</a> v1, <span class="keyword">const</span> <a class="code" href="structcp_vect.html">cpVect</a> v2)</div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span> {</div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  <span class="keywordflow">return</span> <a class="code" href="group__cp_vect.html#gadfad8e091ac399cdc377a9c475f7ef0d" title="Returns the squared length of v. Faster than cpvlength() when you only need to compare lengths...">cpvlengthsq</a>(<a class="code" href="group__cp_vect.html#gafd88a5bbd4b5de25aa31e44fdf01e259" title="Subtract two vectors.">cpvsub</a>(v1, v2));</div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span> }</div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span> </div>
<div class="line"><a name="l00203"></a><span class="lineno"><a class="code" href="group__cp_vect.html#ga2ffc18e3b7405c28e92b6aa0f6cad746"> 203</a></span> <span class="keyword">static</span> <span class="keyword">inline</span> <a class="code" href="group__basic_types.html#gabc5e752c48f3449ca26ef413ecbd647e" title="Chipmunk's boolean type.">cpBool</a> <a class="code" href="group__cp_vect.html#ga2ffc18e3b7405c28e92b6aa0f6cad746" title="Returns true if the distance between v1 and v2 is less than dist.">cpvnear</a>(<span class="keyword">const</span> <a class="code" href="structcp_vect.html">cpVect</a> v1, <span class="keyword">const</span> <a class="code" href="structcp_vect.html">cpVect</a> v2, <span class="keyword">const</span> <a class="code" href="group__basic_types.html#gac1ed65573e035bf892505768c852d8d3" title="Chipmunk's floating point type.">cpFloat</a> dist)</div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span> {</div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  <span class="keywordflow">return</span> <a class="code" href="group__cp_vect.html#gadb0ce5353909318beb7ee3163f7c3152" title="Returns the squared distance between v1 and v2. Faster than cpvdist() when you only need to compare d...">cpvdistsq</a>(v1, v2) < dist*dist;</div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span> }</div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span> </div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span> </div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span> </div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span> <span class="comment">// NUKE</span></div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span> <span class="keyword">static</span> <span class="keyword">inline</span> <a class="code" href="structcp_mat2x2.html">cpMat2x2</a></div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span> cpMat2x2New(<a class="code" href="group__basic_types.html#gac1ed65573e035bf892505768c852d8d3" title="Chipmunk's floating point type.">cpFloat</a> a, <a class="code" href="group__basic_types.html#gac1ed65573e035bf892505768c852d8d3" title="Chipmunk's floating point type.">cpFloat</a> b, <a class="code" href="group__basic_types.html#gac1ed65573e035bf892505768c852d8d3" title="Chipmunk's floating point type.">cpFloat</a> c, <a class="code" href="group__basic_types.html#gac1ed65573e035bf892505768c852d8d3" title="Chipmunk's floating point type.">cpFloat</a> d)</div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span> {</div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>  <a class="code" href="structcp_mat2x2.html">cpMat2x2</a> m = {a, b, c, d};</div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  <span class="keywordflow">return</span> m;</div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span> }</div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span> </div>
<div class="line"><a name="l00222"></a><span class="lineno"> 222</span> <span class="keyword">static</span> <span class="keyword">inline</span> <a class="code" href="structcp_vect.html">cpVect</a></div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span> cpMat2x2Transform(<a class="code" href="structcp_mat2x2.html">cpMat2x2</a> m, <a class="code" href="structcp_vect.html">cpVect</a> v)</div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span> {</div>
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>  <span class="keywordflow">return</span> <a class="code" href="group__cp_vect.html#ga80c0be464748ff46ad20b58e22ea7d81" title="Convenience constructor for cpVect structs.">cpv</a>(v.x*m.a + v.y*m.b, v.x*m.c + v.y*m.d);</div>
<div class="line"><a name="l00226"></a><span class="lineno"> 226</span> }</div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span> </div>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span> </div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span> <span class="preprocessor">#endif</span></div>
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