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<div id="projectbrief">Quite simple and lightweight game engine</div>
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<a href="#define-members">Macros</a> &#124;
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<div class="headertitle"><div class="title">gf_math.h File Reference</div></div>
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<p>Math.
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;<a class="el" href="gf__pre_8h_source.html">gf_pre.h</a>&gt;</code><br />
<code>#include &lt;<a class="el" href="gf__macro_8h_source.html">gf_macro.h</a>&gt;</code><br />
<code>#include &lt;<a class="el" href="math_8h_source.html">gf_type/math.h</a>&gt;</code><br />
</div>
<p><a href="gf__math_8h_source.html">Go to the source code of this file.</a></p>
<table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="define-members" name="define-members"></a>
Macros</h2></td></tr>
<tr class="memitem:a8bf10c0638a206ac572807e90508b6b5" id="r_a8bf10c0638a206ac572807e90508b6b5"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="gf__math_8h.html#a8bf10c0638a206ac572807e90508b6b5">GF_MATH_PI</a>&#160;&#160;&#160;3.14159265</td></tr>
<tr class="memdesc:a8bf10c0638a206ac572807e90508b6b5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Pi. <br /></td></tr>
<tr class="separator:a8bf10c0638a206ac572807e90508b6b5"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a545245d1e846e9c756e776eb6138536b" id="r_a545245d1e846e9c756e776eb6138536b"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="gf__math_8h.html#a545245d1e846e9c756e776eb6138536b">GF_MATH_VECTOR_COPY</a>(from, to)</td></tr>
<tr class="memdesc:a545245d1e846e9c756e776eb6138536b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Copy vector. <br /></td></tr>
<tr class="separator:a545245d1e846e9c756e776eb6138536b"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="func-members" name="func-members"></a>
Functions</h2></td></tr>
<tr class="memitem:a018423cb05adf480f9c3f28f304d1c47" id="r_a018423cb05adf480f9c3f28f304d1c47"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="gf__math_8h.html#a018423cb05adf480f9c3f28f304d1c47">gf_math_log2</a> (double x)</td></tr>
<tr class="memdesc:a018423cb05adf480f9c3f28f304d1c47"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculate log2(x) <br /></td></tr>
<tr class="separator:a018423cb05adf480f9c3f28f304d1c47"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a5438b2f7f1324cdd664f2b823faa1ba6" id="r_a5438b2f7f1324cdd664f2b823faa1ba6"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="gf__math_8h.html#a5438b2f7f1324cdd664f2b823faa1ba6">gf_math_normal</a> (<a class="el" href="math_8h.html#a866f43b3ea5386cb9497738f1eec3d88">gf_math_vector_t</a> r, <a class="el" href="math_8h.html#a866f43b3ea5386cb9497738f1eec3d88">gf_math_vector_t</a> v0, <a class="el" href="math_8h.html#a866f43b3ea5386cb9497738f1eec3d88">gf_math_vector_t</a> v1, <a class="el" href="math_8h.html#a866f43b3ea5386cb9497738f1eec3d88">gf_math_vector_t</a> v2)</td></tr>
<tr class="memdesc:a5438b2f7f1324cdd664f2b823faa1ba6"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculate normal of triangle v0,v1,v2. <br /></td></tr>
<tr class="separator:a5438b2f7f1324cdd664f2b823faa1ba6"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aac8f6a22f2880f5b86b20a191a662333" id="r_aac8f6a22f2880f5b86b20a191a662333"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="gf__math_8h.html#aac8f6a22f2880f5b86b20a191a662333">gf_math_cot</a> (double x)</td></tr>
<tr class="memdesc:aac8f6a22f2880f5b86b20a191a662333"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculate cot(x) <br /></td></tr>
<tr class="separator:aac8f6a22f2880f5b86b20a191a662333"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aefea2441e869786726095fcda71750dc" id="r_aefea2441e869786726095fcda71750dc"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="gf__math_8h.html#aefea2441e869786726095fcda71750dc">gf_math_nearest_2pow</a> (double x)</td></tr>
<tr class="memdesc:aefea2441e869786726095fcda71750dc"><td class="mdescLeft">&#160;</td><td class="mdescRight">Get nearest 2^n. <br /></td></tr>
<tr class="separator:aefea2441e869786726095fcda71750dc"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a3bd2afc9ff0e67e60afef9fe82553726" id="r_a3bd2afc9ff0e67e60afef9fe82553726"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="gf__math_8h.html#a3bd2afc9ff0e67e60afef9fe82553726">gf_math_normalize</a> (<a class="el" href="math_8h.html#a866f43b3ea5386cb9497738f1eec3d88">gf_math_vector_t</a> v)</td></tr>
<tr class="memdesc:a3bd2afc9ff0e67e60afef9fe82553726"><td class="mdescLeft">&#160;</td><td class="mdescRight">Normalize vector. <br /></td></tr>
<tr class="separator:a3bd2afc9ff0e67e60afef9fe82553726"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a394ebd35e2cddf28c86a45dad759fbee" id="r_a394ebd35e2cddf28c86a45dad759fbee"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="gf__math_8h.html#a394ebd35e2cddf28c86a45dad759fbee">gf_math_multiply</a> (<a class="el" href="math_8h.html#a866f43b3ea5386cb9497738f1eec3d88">gf_math_vector_t</a> r, <a class="el" href="math_8h.html#a866f43b3ea5386cb9497738f1eec3d88">gf_math_vector_t</a> v0, <a class="el" href="math_8h.html#a866f43b3ea5386cb9497738f1eec3d88">gf_math_vector_t</a> v1)</td></tr>
<tr class="memdesc:a394ebd35e2cddf28c86a45dad759fbee"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiply vector by vector. <br /></td></tr>
<tr class="separator:a394ebd35e2cddf28c86a45dad759fbee"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a9df6d1b30bea0b200582e2873bddd113" id="r_a9df6d1b30bea0b200582e2873bddd113"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="gf__math_8h.html#a9df6d1b30bea0b200582e2873bddd113">gf_math_subtract</a> (<a class="el" href="math_8h.html#a866f43b3ea5386cb9497738f1eec3d88">gf_math_vector_t</a> r, <a class="el" href="math_8h.html#a866f43b3ea5386cb9497738f1eec3d88">gf_math_vector_t</a> v0, <a class="el" href="math_8h.html#a866f43b3ea5386cb9497738f1eec3d88">gf_math_vector_t</a> v1)</td></tr>
<tr class="memdesc:a9df6d1b30bea0b200582e2873bddd113"><td class="mdescLeft">&#160;</td><td class="mdescRight">Subtract vector by vector. <br /></td></tr>
<tr class="separator:a9df6d1b30bea0b200582e2873bddd113"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table>
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Math. </p>
<p class="definition">Definition in file <a class="el" href="gf__math_8h_source.html">gf_math.h</a>.</p>
</div><h2 class="groupheader">Macro Definition Documentation</h2>
<a id="a8bf10c0638a206ac572807e90508b6b5" name="a8bf10c0638a206ac572807e90508b6b5"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a8bf10c0638a206ac572807e90508b6b5">&#9670;&#160;</a></span>GF_MATH_PI</h2>
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<td class="memname">#define GF_MATH_PI&#160;&#160;&#160;3.14159265</td>
</tr>
</table>
</div><div class="memdoc">
<p>Pi. </p>
<p class="definition">Definition at line <a class="el" href="gf__math_8h_source.html#l00024">24</a> of file <a class="el" href="gf__math_8h_source.html">gf_math.h</a>.</p>
</div>
</div>
<a id="a545245d1e846e9c756e776eb6138536b" name="a545245d1e846e9c756e776eb6138536b"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a545245d1e846e9c756e776eb6138536b">&#9670;&#160;</a></span>GF_MATH_VECTOR_COPY</h2>
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<td class="memname">#define GF_MATH_VECTOR_COPY</td>
<td>(</td>
<td class="paramtype">&#160;</td>
<td class="paramname">from, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">&#160;</td>
<td class="paramname">to&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<b>Value:</b><div class="fragment"><div class="line"> to[0] = from[0]; \</div>
<div class="line"> to[1] = from[1]; \</div>
<div class="line"> to[2] = from[2]</div>
</div><!-- fragment -->
<p>Copy vector. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">from</td><td>Source </td></tr>
<tr><td class="paramname">to</td><td>Destination </td></tr>
</table>
</dd>
</dl>
<p class="definition">Definition at line <a class="el" href="gf__math_8h_source.html#l00032">32</a> of file <a class="el" href="gf__math_8h_source.html">gf_math.h</a>.</p>
</div>
</div>
<h2 class="groupheader">Function Documentation</h2>
<a id="aac8f6a22f2880f5b86b20a191a662333" name="aac8f6a22f2880f5b86b20a191a662333"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aac8f6a22f2880f5b86b20a191a662333">&#9670;&#160;</a></span>gf_math_cot()</h2>
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<td class="memname">double gf_math_cot </td>
<td>(</td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
</tr>
</table>
</td>
<td class="mlabels-right">
<span class="mlabels"><span class="mlabel">extern</span></span> </td>
</tr>
</table>
</div><div class="memdoc">
<p>Calculate cot(x) </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>Input </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>cot(x) </dd></dl>
<p class="definition">Definition at line <a class="el" href="gf__math_8c_source.html#l00062">62</a> of file <a class="el" href="gf__math_8c_source.html">gf_math.c</a>.</p>
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<a id="a018423cb05adf480f9c3f28f304d1c47" name="a018423cb05adf480f9c3f28f304d1c47"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a018423cb05adf480f9c3f28f304d1c47">&#9670;&#160;</a></span>gf_math_log2()</h2>
<div class="memitem">
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<td class="memname">double gf_math_log2 </td>
<td>(</td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
</tr>
</table>
</td>
<td class="mlabels-right">
<span class="mlabels"><span class="mlabel">extern</span></span> </td>
</tr>
</table>
</div><div class="memdoc">
<p>Calculate log2(x) </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>Input </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>log2(x) </dd></dl>
<p class="definition">Definition at line <a class="el" href="gf__math_8c_source.html#l00015">15</a> of file <a class="el" href="gf__math_8c_source.html">gf_math.c</a>.</p>
</div>
</div>
<a id="a394ebd35e2cddf28c86a45dad759fbee" name="a394ebd35e2cddf28c86a45dad759fbee"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a394ebd35e2cddf28c86a45dad759fbee">&#9670;&#160;</a></span>gf_math_multiply()</h2>
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<td class="memname">void gf_math_multiply </td>
<td>(</td>
<td class="paramtype"><a class="el" href="math_8h.html#a866f43b3ea5386cb9497738f1eec3d88">gf_math_vector_t</a>&#160;</td>
<td class="paramname"><em>r</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="math_8h.html#a866f43b3ea5386cb9497738f1eec3d88">gf_math_vector_t</a>&#160;</td>
<td class="paramname"><em>v0</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="math_8h.html#a866f43b3ea5386cb9497738f1eec3d88">gf_math_vector_t</a>&#160;</td>
<td class="paramname"><em>v1</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</td>
<td class="mlabels-right">
<span class="mlabels"><span class="mlabel">extern</span></span> </td>
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<p>Multiply vector by vector. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">r</td><td>Result </td></tr>
<tr><td class="paramname">v0</td><td>Input </td></tr>
<tr><td class="paramname">v1</td><td>Input </td></tr>
</table>
</dd>
</dl>
<p class="definition">Definition at line <a class="el" href="gf__math_8c_source.html#l00056">56</a> of file <a class="el" href="gf__math_8c_source.html">gf_math.c</a>.</p>
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<a id="aefea2441e869786726095fcda71750dc" name="aefea2441e869786726095fcda71750dc"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aefea2441e869786726095fcda71750dc">&#9670;&#160;</a></span>gf_math_nearest_2pow()</h2>
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<td class="memname">double gf_math_nearest_2pow </td>
<td>(</td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
</tr>
</table>
</td>
<td class="mlabels-right">
<span class="mlabels"><span class="mlabel">extern</span></span> </td>
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<p>Get nearest 2^n. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>Input </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>Nearest 2^n </dd></dl>
<p class="definition">Definition at line <a class="el" href="gf__math_8c_source.html#l00064">64</a> of file <a class="el" href="gf__math_8c_source.html">gf_math.c</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a5438b2f7f1324cdd664f2b823faa1ba6">&#9670;&#160;</a></span>gf_math_normal()</h2>
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<td class="memname">void gf_math_normal </td>
<td>(</td>
<td class="paramtype"><a class="el" href="math_8h.html#a866f43b3ea5386cb9497738f1eec3d88">gf_math_vector_t</a>&#160;</td>
<td class="paramname"><em>r</em>, </td>
</tr>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="math_8h.html#a866f43b3ea5386cb9497738f1eec3d88">gf_math_vector_t</a>&#160;</td>
<td class="paramname"><em>v0</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="math_8h.html#a866f43b3ea5386cb9497738f1eec3d88">gf_math_vector_t</a>&#160;</td>
<td class="paramname"><em>v1</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="math_8h.html#a866f43b3ea5386cb9497738f1eec3d88">gf_math_vector_t</a>&#160;</td>
<td class="paramname"><em>v2</em>&#160;</td>
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<td></td>
<td>)</td>
<td></td><td></td>
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<span class="mlabels"><span class="mlabel">extern</span></span> </td>
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<p>Calculate normal of triangle v0,v1,v2. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">r</td><td>Result </td></tr>
<tr><td class="paramname">v0</td><td>Input </td></tr>
<tr><td class="paramname">v1</td><td>Input </td></tr>
<tr><td class="paramname">v2</td><td>Input </td></tr>
</table>
</dd>
</dl>
<p class="definition">Definition at line <a class="el" href="gf__math_8c_source.html#l00038">38</a> of file <a class="el" href="gf__math_8c_source.html">gf_math.c</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a3bd2afc9ff0e67e60afef9fe82553726">&#9670;&#160;</a></span>gf_math_normalize()</h2>
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<td class="memname">void gf_math_normalize </td>
<td>(</td>
<td class="paramtype"><a class="el" href="math_8h.html#a866f43b3ea5386cb9497738f1eec3d88">gf_math_vector_t</a>&#160;</td>
<td class="paramname"><em>v</em></td><td>)</td>
<td></td>
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<span class="mlabels"><span class="mlabel">extern</span></span> </td>
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<p>Normalize vector. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">v</td><td>Input/Output </td></tr>
</table>
</dd>
</dl>
<p class="definition">Definition at line <a class="el" href="gf__math_8c_source.html#l00017">17</a> of file <a class="el" href="gf__math_8c_source.html">gf_math.c</a>.</p>
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<a id="a9df6d1b30bea0b200582e2873bddd113" name="a9df6d1b30bea0b200582e2873bddd113"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a9df6d1b30bea0b200582e2873bddd113">&#9670;&#160;</a></span>gf_math_subtract()</h2>
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<td class="memname">void gf_math_subtract </td>
<td>(</td>
<td class="paramtype"><a class="el" href="math_8h.html#a866f43b3ea5386cb9497738f1eec3d88">gf_math_vector_t</a>&#160;</td>
<td class="paramname"><em>r</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="math_8h.html#a866f43b3ea5386cb9497738f1eec3d88">gf_math_vector_t</a>&#160;</td>
<td class="paramname"><em>v0</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="math_8h.html#a866f43b3ea5386cb9497738f1eec3d88">gf_math_vector_t</a>&#160;</td>
<td class="paramname"><em>v1</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
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<p>Subtract vector by vector. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">r</td><td>Result </td></tr>
<tr><td class="paramname">v0</td><td>Input </td></tr>
<tr><td class="paramname">v1</td><td>Input </td></tr>
</table>
</dd>
</dl>
<p class="definition">Definition at line <a class="el" href="gf__math_8c_source.html#l00050">50</a> of file <a class="el" href="gf__math_8c_source.html">gf_math.c</a>.</p>
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