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Christophe Riccio
2017-08-17 19:53:21 +02:00
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<div class="title">func_geometric.hpp</div> </div>
<div class="title">geometric.hpp</div> </div>
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<a href="a00034.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span>&#160;</div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span>&#160;<span class="preprocessor">#pragma once</span></div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span>&#160;</div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="a00131.html">type_vec3.hpp</a>&quot;</span></div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span>&#160;<span class="preprocessor">#pragma once</span></div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span>&#160;</div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span>&#160;<span class="keyword">namespace </span><a class="code" href="a00143.html">glm</a></div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span>&#160;{</div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span>&#160;</div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>&#160; <span class="keyword">template</span>&lt;length_t L, <span class="keyword">typename</span> T, qualifier P&gt;</div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160; GLM_FUNC_DECL T <a class="code" href="a00150.html#ga9363516a0cffaa7c44adea39d2b0334d">length</a>(vec&lt;L, T, P&gt; <span class="keyword">const</span>&amp; x);</div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>&#160;</div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>&#160; <span class="keyword">template</span>&lt;length_t L, <span class="keyword">typename</span> T, qualifier P&gt;</div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>&#160; GLM_FUNC_DECL T <a class="code" href="a00150.html#gadb370a015ab4c544ddd2cb0b2ea1cec8">distance</a>(vec&lt;L, T, P&gt; <span class="keyword">const</span>&amp; p0, vec&lt;L, T, P&gt; <span class="keyword">const</span>&amp; p1);</div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160;</div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>&#160; <span class="keyword">template</span>&lt;length_t L, <span class="keyword">typename</span> T, qualifier P&gt;</div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>&#160; GLM_FUNC_DECL T <a class="code" href="a00150.html#gaa51a3aaf29f7c5bd2adb3d7fb9bad3c7">dot</a>(vec&lt;L, T, P&gt; <span class="keyword">const</span> &amp; x, vec&lt;L, T, P&gt; <span class="keyword">const</span> &amp; y);</div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>&#160;</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, qualifier P&gt;</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160; GLM_FUNC_DECL vec&lt;3, T, P&gt; <a class="code" href="a00150.html#gaf48bb3113e27775dfa907960a6927d33">cross</a>(vec&lt;3, T, P&gt; <span class="keyword">const</span> &amp; x, vec&lt;3, T, P&gt; <span class="keyword">const</span> &amp; y);</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160;</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160; <span class="keyword">template</span>&lt;length_t L, <span class="keyword">typename</span> T, qualifier P&gt;</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160; GLM_FUNC_DECL vec&lt;L, T, P&gt; <a class="code" href="a00150.html#ga8263c6c2b8ff1719c89728d643bba27a">normalize</a>(vec&lt;L, T, P&gt; <span class="keyword">const</span>&amp; x);</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160;</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160; <span class="keyword">template</span>&lt;length_t L, <span class="keyword">typename</span> T, qualifier P&gt;</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>&#160; GLM_FUNC_DECL vec&lt;L, T, P&gt; <a class="code" href="a00150.html#ga4b1a93be2515b8de5ba413eb636396da">faceforward</a>(</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>&#160; vec&lt;L, T, P&gt; <span class="keyword">const</span>&amp; N,</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160; vec&lt;L, T, P&gt; <span class="keyword">const</span>&amp; I,</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160; vec&lt;L, T, P&gt; <span class="keyword">const</span>&amp; Nref);</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160;</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>&#160; <span class="keyword">template</span>&lt;length_t L, <span class="keyword">typename</span> T, qualifier P&gt;</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>&#160; GLM_FUNC_DECL vec&lt;L, T, P&gt; <a class="code" href="a00150.html#gad0ef4d78d209c4a3f90b9df53afa23a9">reflect</a>(</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>&#160; vec&lt;L, T, P&gt; <span class="keyword">const</span>&amp; I,</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>&#160; vec&lt;L, T, P&gt; <span class="keyword">const</span>&amp; N);</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>&#160;</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>&#160; <span class="keyword">template</span>&lt;length_t L, <span class="keyword">typename</span> T, qualifier P&gt;</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>&#160; GLM_FUNC_DECL vec&lt;L, T, P&gt; <a class="code" href="a00150.html#gae7fdf06db18e429a29c7d4169e8459be">refract</a>(</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>&#160; vec&lt;L, T, P&gt; <span class="keyword">const</span>&amp; I,</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>&#160; vec&lt;L, T, P&gt; <span class="keyword">const</span>&amp; N,</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>&#160; T eta);</div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>&#160;</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>&#160;}<span class="comment">//namespace glm</span></div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>&#160;</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>&#160;<span class="preprocessor">#include &quot;func_geometric.inl&quot;</span></div>
<div class="ttc" id="a00150_html_gad0ef4d78d209c4a3f90b9df53afa23a9"><div class="ttname"><a href="a00150.html#gad0ef4d78d209c4a3f90b9df53afa23a9">glm::reflect</a></div><div class="ttdeci">GLM_FUNC_DECL vec&lt; L, T, P &gt; reflect(vec&lt; L, T, P &gt; const &amp;I, vec&lt; L, T, P &gt; const &amp;N)</div><div class="ttdoc">For the incident vector I and surface orientation N, returns the reflection direction : result = I - ...</div></div>
<div class="ttc" id="a00150_html_ga8263c6c2b8ff1719c89728d643bba27a"><div class="ttname"><a href="a00150.html#ga8263c6c2b8ff1719c89728d643bba27a">glm::normalize</a></div><div class="ttdeci">GLM_FUNC_DECL vec&lt; L, T, P &gt; normalize(vec&lt; L, T, P &gt; const &amp;x)</div><div class="ttdoc">Returns a vector in the same direction as x but with length of 1. </div></div>
<div class="ttc" id="a00150_html_gaa51a3aaf29f7c5bd2adb3d7fb9bad3c7"><div class="ttname"><a href="a00150.html#gaa51a3aaf29f7c5bd2adb3d7fb9bad3c7">glm::dot</a></div><div class="ttdeci">GLM_FUNC_DECL T dot(vec&lt; L, T, P &gt; const &amp;x, vec&lt; L, T, P &gt; const &amp;y)</div><div class="ttdoc">Returns the dot product of x and y, i.e., result = x * y. </div></div>
<div class="ttc" id="a00150_html_ga4b1a93be2515b8de5ba413eb636396da"><div class="ttname"><a href="a00150.html#ga4b1a93be2515b8de5ba413eb636396da">glm::faceforward</a></div><div class="ttdeci">GLM_FUNC_DECL vec&lt; L, T, P &gt; faceforward(vec&lt; L, T, P &gt; const &amp;N, vec&lt; L, T, P &gt; const &amp;I, vec&lt; L, T, P &gt; const &amp;Nref)</div><div class="ttdoc">If dot(Nref, I) < 0.0, return N, otherwise, return -N. </div></div>
<div class="ttc" id="a00150_html_gae7fdf06db18e429a29c7d4169e8459be"><div class="ttname"><a href="a00150.html#gae7fdf06db18e429a29c7d4169e8459be">glm::refract</a></div><div class="ttdeci">GLM_FUNC_DECL vec&lt; L, T, P &gt; refract(vec&lt; L, T, P &gt; const &amp;I, vec&lt; L, T, P &gt; const &amp;N, T eta)</div><div class="ttdoc">For the incident vector I and surface normal N, and the ratio of indices of refraction eta...</div></div>
<div class="ttc" id="a00143_html"><div class="ttname"><a href="a00143.html">glm</a></div><div class="ttdef"><b>Definition:</b> <a href="a00003_source.html#l00011">_noise.hpp:11</a></div></div>
<div class="ttc" id="a00150_html_gadb370a015ab4c544ddd2cb0b2ea1cec8"><div class="ttname"><a href="a00150.html#gadb370a015ab4c544ddd2cb0b2ea1cec8">glm::distance</a></div><div class="ttdeci">GLM_FUNC_DECL T distance(vec&lt; L, T, P &gt; const &amp;p0, vec&lt; L, T, P &gt; const &amp;p1)</div><div class="ttdoc">Returns the distance betwwen p0 and p1, i.e., length(p0 - p1). </div></div>
<div class="ttc" id="a00150_html_ga9363516a0cffaa7c44adea39d2b0334d"><div class="ttname"><a href="a00150.html#ga9363516a0cffaa7c44adea39d2b0334d">glm::length</a></div><div class="ttdeci">GLM_FUNC_DECL T length(vec&lt; L, T, P &gt; const &amp;x)</div><div class="ttdoc">Returns the length of x, i.e., sqrt(x * x). </div></div>
<div class="ttc" id="a00131_html"><div class="ttname"><a href="a00131.html">type_vec3.hpp</a></div><div class="ttdoc">GLM Core </div></div>
<div class="ttc" id="a00150_html_gaf48bb3113e27775dfa907960a6927d33"><div class="ttname"><a href="a00150.html#gaf48bb3113e27775dfa907960a6927d33">glm::cross</a></div><div class="ttdeci">GLM_FUNC_DECL vec&lt; 3, T, P &gt; cross(vec&lt; 3, T, P &gt; const &amp;x, vec&lt; 3, T, P &gt; const &amp;y)</div><div class="ttdoc">Returns the cross product of x and y. </div></div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="a00123.html">detail/type_vec3.hpp</a>&quot;</span></div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span>&#160;</div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span>&#160;<span class="keyword">namespace </span><a class="code" href="a00135.html">glm</a></div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span>&#160;{</div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span>&#160;</div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>&#160; <span class="keyword">template</span>&lt;length_t L, <span class="keyword">typename</span> T, qualifier Q&gt;</div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>&#160; GLM_FUNC_DECL T <a class="code" href="a00142.html#ga0cdabbb000834d994a1d6dc56f8f5263">length</a>(vec&lt;L, T, Q&gt; <span class="keyword">const</span>&amp; x);</div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>&#160;</div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160; <span class="keyword">template</span>&lt;length_t L, <span class="keyword">typename</span> T, qualifier Q&gt;</div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160; GLM_FUNC_DECL T <a class="code" href="a00142.html#gaa68de6c53e20dfb2dac2d20197562e3f">distance</a>(vec&lt;L, T, Q&gt; <span class="keyword">const</span>&amp; p0, vec&lt;L, T, Q&gt; <span class="keyword">const</span>&amp; p1);</div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160;</div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>&#160; <span class="keyword">template</span>&lt;length_t L, <span class="keyword">typename</span> T, qualifier Q&gt;</div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>&#160; GLM_FUNC_DECL T <a class="code" href="a00142.html#gaad6c5d9d39bdc0bf43baf1b22e147a0a">dot</a>(vec&lt;L, T, Q&gt; <span class="keyword">const</span>&amp; x, vec&lt;L, T, Q&gt; <span class="keyword">const</span>&amp; y);</div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>&#160;</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, qualifier Q&gt;</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160; GLM_FUNC_DECL vec&lt;3, T, Q&gt; <a class="code" href="a00142.html#gaeeec0794212fe84fc9d261de067c9587">cross</a>(vec&lt;3, T, Q&gt; <span class="keyword">const</span>&amp; x, vec&lt;3, T, Q&gt; <span class="keyword">const</span>&amp; y);</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>&#160;</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160; <span class="keyword">template</span>&lt;length_t L, <span class="keyword">typename</span> T, qualifier Q&gt;</div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>&#160; GLM_FUNC_DECL vec&lt;L, T, Q&gt; <a class="code" href="a00142.html#ga3b8d3dcae77870781392ed2902cce597">normalize</a>(vec&lt;L, T, Q&gt; <span class="keyword">const</span>&amp; x);</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>&#160;</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>&#160; <span class="keyword">template</span>&lt;length_t L, <span class="keyword">typename</span> T, qualifier Q&gt;</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160; GLM_FUNC_DECL vec&lt;L, T, Q&gt; <a class="code" href="a00142.html#ga7aed0a36c738169402404a3a5d54e43b">faceforward</a>(</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160; vec&lt;L, T, Q&gt; <span class="keyword">const</span>&amp; N,</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160; vec&lt;L, T, Q&gt; <span class="keyword">const</span>&amp; I,</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>&#160; vec&lt;L, T, Q&gt; <span class="keyword">const</span>&amp; Nref);</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160;</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>&#160; <span class="keyword">template</span>&lt;length_t L, <span class="keyword">typename</span> T, qualifier Q&gt;</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>&#160; GLM_FUNC_DECL vec&lt;L, T, Q&gt; <a class="code" href="a00142.html#ga5631dd1d5618de5450b1ea3cf3e94905">reflect</a>(</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>&#160; vec&lt;L, T, Q&gt; <span class="keyword">const</span>&amp; I,</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>&#160; vec&lt;L, T, Q&gt; <span class="keyword">const</span>&amp; N);</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>&#160;</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>&#160; <span class="keyword">template</span>&lt;length_t L, <span class="keyword">typename</span> T, qualifier Q&gt;</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>&#160; GLM_FUNC_DECL vec&lt;L, T, Q&gt; <a class="code" href="a00142.html#ga01da3dff9e2ef6b9d4915c3047e22b74">refract</a>(</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>&#160; vec&lt;L, T, Q&gt; <span class="keyword">const</span>&amp; I,</div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>&#160; vec&lt;L, T, Q&gt; <span class="keyword">const</span>&amp; N,</div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>&#160; T eta);</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>&#160;</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>&#160;}<span class="comment">//namespace glm</span></div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>&#160;</div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>&#160;<span class="preprocessor">#include &quot;detail/func_geometric.inl&quot;</span></div>
<div class="ttc" id="a00142_html_gaad6c5d9d39bdc0bf43baf1b22e147a0a"><div class="ttname"><a href="a00142.html#gaad6c5d9d39bdc0bf43baf1b22e147a0a">glm::dot</a></div><div class="ttdeci">GLM_FUNC_DECL T dot(vec&lt; L, T, Q &gt; const &amp;x, vec&lt; L, T, Q &gt; const &amp;y)</div><div class="ttdoc">Returns the dot product of x and y, i.e., result = x * y. </div></div>
<div class="ttc" id="a00135_html"><div class="ttname"><a href="a00135.html">glm</a></div><div class="ttdef"><b>Definition:</b> <a href="a00015_source.html#l00020">common.hpp:20</a></div></div>
<div class="ttc" id="a00142_html_ga7aed0a36c738169402404a3a5d54e43b"><div class="ttname"><a href="a00142.html#ga7aed0a36c738169402404a3a5d54e43b">glm::faceforward</a></div><div class="ttdeci">GLM_FUNC_DECL vec&lt; L, T, Q &gt; faceforward(vec&lt; L, T, Q &gt; const &amp;N, vec&lt; L, T, Q &gt; const &amp;I, vec&lt; L, T, Q &gt; const &amp;Nref)</div><div class="ttdoc">If dot(Nref, I) < 0.0, return N, otherwise, return -N. </div></div>
<div class="ttc" id="a00123_html"><div class="ttname"><a href="a00123.html">type_vec3.hpp</a></div><div class="ttdoc">Core features </div></div>
<div class="ttc" id="a00142_html_gaeeec0794212fe84fc9d261de067c9587"><div class="ttname"><a href="a00142.html#gaeeec0794212fe84fc9d261de067c9587">glm::cross</a></div><div class="ttdeci">GLM_FUNC_DECL vec&lt; 3, T, Q &gt; cross(vec&lt; 3, T, Q &gt; const &amp;x, vec&lt; 3, T, Q &gt; const &amp;y)</div><div class="ttdoc">Returns the cross product of x and y. </div></div>
<div class="ttc" id="a00142_html_gaa68de6c53e20dfb2dac2d20197562e3f"><div class="ttname"><a href="a00142.html#gaa68de6c53e20dfb2dac2d20197562e3f">glm::distance</a></div><div class="ttdeci">GLM_FUNC_DECL T distance(vec&lt; L, T, Q &gt; const &amp;p0, vec&lt; L, T, Q &gt; const &amp;p1)</div><div class="ttdoc">Returns the distance betwwen p0 and p1, i.e., length(p0 - p1). </div></div>
<div class="ttc" id="a00142_html_ga01da3dff9e2ef6b9d4915c3047e22b74"><div class="ttname"><a href="a00142.html#ga01da3dff9e2ef6b9d4915c3047e22b74">glm::refract</a></div><div class="ttdeci">GLM_FUNC_DECL vec&lt; L, T, Q &gt; refract(vec&lt; L, T, Q &gt; const &amp;I, vec&lt; L, T, Q &gt; const &amp;N, T eta)</div><div class="ttdoc">For the incident vector I and surface normal N, and the ratio of indices of refraction eta...</div></div>
<div class="ttc" id="a00142_html_ga0cdabbb000834d994a1d6dc56f8f5263"><div class="ttname"><a href="a00142.html#ga0cdabbb000834d994a1d6dc56f8f5263">glm::length</a></div><div class="ttdeci">GLM_FUNC_DECL T length(vec&lt; L, T, Q &gt; const &amp;x)</div><div class="ttdoc">Returns the length of x, i.e., sqrt(x * x). </div></div>
<div class="ttc" id="a00142_html_ga5631dd1d5618de5450b1ea3cf3e94905"><div class="ttname"><a href="a00142.html#ga5631dd1d5618de5450b1ea3cf3e94905">glm::reflect</a></div><div class="ttdeci">GLM_FUNC_DECL vec&lt; L, T, Q &gt; reflect(vec&lt; L, T, Q &gt; const &amp;I, vec&lt; L, T, Q &gt; const &amp;N)</div><div class="ttdoc">For the incident vector I and surface orientation N, returns the reflection direction : result = I - ...</div></div>
<div class="ttc" id="a00142_html_ga3b8d3dcae77870781392ed2902cce597"><div class="ttname"><a href="a00142.html#ga3b8d3dcae77870781392ed2902cce597">glm::normalize</a></div><div class="ttdeci">GLM_FUNC_DECL vec&lt; L, T, Q &gt; normalize(vec&lt; L, T, Q &gt; const &amp;x)</div><div class="ttdoc">Returns a vector in the same direction as x but with length of 1. </div></div>
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