TheAlgorithms-C/d5/db8/vectors__3d_8c.html
2022-09-08 00:17:03 +00:00

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<div id="projectbrief">Set of algorithms implemented in C.</div>
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<div class="headertitle"><div class="title">vectors_3d.c File Reference</div></div>
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<p>Functions related to 3D vector operations.
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;stdio.h&gt;</code><br />
<code>#include &lt;math.h&gt;</code><br />
<code>#include &lt;assert.h&gt;</code><br />
<code>#include &quot;<a class="el" href="../../d0/dc7/geometry__datatypes_8h_source.html">geometry_datatypes.h</a>&quot;</code><br />
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Include dependency graph for vectors_3d.c:</div>
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Functions</h2></td></tr>
<tr class="memitem:ga97da356cb7d5da73a0ac9bad09a435cc"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../de/d7b/group__vec__3d.html#gaf9ee870d4922e488bdd3e7262485c270">vec_3d</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../de/d7b/group__vec__3d.html#ga97da356cb7d5da73a0ac9bad09a435cc">vector_sub</a> (const <a class="el" href="../../de/d7b/group__vec__3d.html#gaf9ee870d4922e488bdd3e7262485c270">vec_3d</a> *a, const <a class="el" href="../../de/d7b/group__vec__3d.html#gaf9ee870d4922e488bdd3e7262485c270">vec_3d</a> *b)</td></tr>
<tr class="memdesc:ga97da356cb7d5da73a0ac9bad09a435cc"><td class="mdescLeft">&#160;</td><td class="mdescRight">Subtract one vector from another. <a href="../../de/d7b/group__vec__3d.html#ga97da356cb7d5da73a0ac9bad09a435cc">More...</a><br /></td></tr>
<tr class="separator:ga97da356cb7d5da73a0ac9bad09a435cc"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:gaa6b5ac18429ffb0131dc8593d31c25a4"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../de/d7b/group__vec__3d.html#gaf9ee870d4922e488bdd3e7262485c270">vec_3d</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../de/d7b/group__vec__3d.html#gaa6b5ac18429ffb0131dc8593d31c25a4">vector_add</a> (const <a class="el" href="../../de/d7b/group__vec__3d.html#gaf9ee870d4922e488bdd3e7262485c270">vec_3d</a> *a, const <a class="el" href="../../de/d7b/group__vec__3d.html#gaf9ee870d4922e488bdd3e7262485c270">vec_3d</a> *b)</td></tr>
<tr class="memdesc:gaa6b5ac18429ffb0131dc8593d31c25a4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Add one vector to another. <a href="../../de/d7b/group__vec__3d.html#gaa6b5ac18429ffb0131dc8593d31c25a4">More...</a><br /></td></tr>
<tr class="separator:gaa6b5ac18429ffb0131dc8593d31c25a4"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga243e74d542d0d4d14fa3ae0bc2170d84"><td class="memItemLeft" align="right" valign="top">float&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../de/d7b/group__vec__3d.html#ga243e74d542d0d4d14fa3ae0bc2170d84">dot_prod</a> (const <a class="el" href="../../de/d7b/group__vec__3d.html#gaf9ee870d4922e488bdd3e7262485c270">vec_3d</a> *a, const <a class="el" href="../../de/d7b/group__vec__3d.html#gaf9ee870d4922e488bdd3e7262485c270">vec_3d</a> *b)</td></tr>
<tr class="memdesc:ga243e74d542d0d4d14fa3ae0bc2170d84"><td class="mdescLeft">&#160;</td><td class="mdescRight">Obtain the dot product of two 3D vectors. <a href="../../de/d7b/group__vec__3d.html#ga243e74d542d0d4d14fa3ae0bc2170d84">More...</a><br /></td></tr>
<tr class="separator:ga243e74d542d0d4d14fa3ae0bc2170d84"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:gae4a49e6bdf13df949e8b23c7925bb5f5"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../de/d7b/group__vec__3d.html#gaf9ee870d4922e488bdd3e7262485c270">vec_3d</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../de/d7b/group__vec__3d.html#gae4a49e6bdf13df949e8b23c7925bb5f5">vector_prod</a> (const <a class="el" href="../../de/d7b/group__vec__3d.html#gaf9ee870d4922e488bdd3e7262485c270">vec_3d</a> *a, const <a class="el" href="../../de/d7b/group__vec__3d.html#gaf9ee870d4922e488bdd3e7262485c270">vec_3d</a> *b)</td></tr>
<tr class="memdesc:gae4a49e6bdf13df949e8b23c7925bb5f5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Compute the vector product of two 3d vectors. <a href="../../de/d7b/group__vec__3d.html#gae4a49e6bdf13df949e8b23c7925bb5f5">More...</a><br /></td></tr>
<tr class="separator:gae4a49e6bdf13df949e8b23c7925bb5f5"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:gae25e1f2e973933bef65838601e2de0af"><td class="memItemLeft" align="right" valign="top">const char *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../de/d7b/group__vec__3d.html#gae25e1f2e973933bef65838601e2de0af">print_vector</a> (const <a class="el" href="../../de/d7b/group__vec__3d.html#gaf9ee870d4922e488bdd3e7262485c270">vec_3d</a> *a, const char *name)</td></tr>
<tr class="memdesc:gae25e1f2e973933bef65838601e2de0af"><td class="mdescLeft">&#160;</td><td class="mdescRight">Print formatted vector on stdout. <a href="../../de/d7b/group__vec__3d.html#gae25e1f2e973933bef65838601e2de0af">More...</a><br /></td></tr>
<tr class="separator:gae25e1f2e973933bef65838601e2de0af"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga94805165d037d111d7d7c0df99e3a5de"><td class="memItemLeft" align="right" valign="top">float&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../de/d7b/group__vec__3d.html#ga94805165d037d111d7d7c0df99e3a5de">vector_norm</a> (const <a class="el" href="../../de/d7b/group__vec__3d.html#gaf9ee870d4922e488bdd3e7262485c270">vec_3d</a> *a)</td></tr>
<tr class="memdesc:ga94805165d037d111d7d7c0df99e3a5de"><td class="mdescLeft">&#160;</td><td class="mdescRight">Compute the norm a vector. <a href="../../de/d7b/group__vec__3d.html#ga94805165d037d111d7d7c0df99e3a5de">More...</a><br /></td></tr>
<tr class="separator:ga94805165d037d111d7d7c0df99e3a5de"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga3cdfd8378a0b115563ea6c561bb46b7e"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../de/d7b/group__vec__3d.html#gaf9ee870d4922e488bdd3e7262485c270">vec_3d</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../de/d7b/group__vec__3d.html#ga3cdfd8378a0b115563ea6c561bb46b7e">unit_vec</a> (const <a class="el" href="../../de/d7b/group__vec__3d.html#gaf9ee870d4922e488bdd3e7262485c270">vec_3d</a> *a)</td></tr>
<tr class="memdesc:ga3cdfd8378a0b115563ea6c561bb46b7e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Obtain unit vector in the same direction as given vector. <a href="../../de/d7b/group__vec__3d.html#ga3cdfd8378a0b115563ea6c561bb46b7e">More...</a><br /></td></tr>
<tr class="separator:ga3cdfd8378a0b115563ea6c561bb46b7e"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga5082b0720c2cc51ae84bf19bd76dc849"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../dd/d7a/group__matrix.html#ga9f844010cb96591fa94c9d533a500ab7">mat_3x3</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../de/d7b/group__vec__3d.html#ga5082b0720c2cc51ae84bf19bd76dc849">get_cross_matrix</a> (const <a class="el" href="../../de/d7b/group__vec__3d.html#gaf9ee870d4922e488bdd3e7262485c270">vec_3d</a> *a)</td></tr>
<tr class="memdesc:ga5082b0720c2cc51ae84bf19bd76dc849"><td class="mdescLeft">&#160;</td><td class="mdescRight">The cross product of vectors can be represented as a matrix multiplication operation. <a href="../../de/d7b/group__vec__3d.html#ga5082b0720c2cc51ae84bf19bd76dc849">More...</a><br /></td></tr>
<tr class="separator:ga5082b0720c2cc51ae84bf19bd76dc849"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga55be1d766c8a824b35d97e79744834d8"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../de/d7b/group__vec__3d.html#ga55be1d766c8a824b35d97e79744834d8">get_angle</a> (const <a class="el" href="../../de/d7b/group__vec__3d.html#gaf9ee870d4922e488bdd3e7262485c270">vec_3d</a> *a, const <a class="el" href="../../de/d7b/group__vec__3d.html#gaf9ee870d4922e488bdd3e7262485c270">vec_3d</a> *b)</td></tr>
<tr class="memdesc:ga55be1d766c8a824b35d97e79744834d8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Obtain the angle between two given vectors. <a href="../../de/d7b/group__vec__3d.html#ga55be1d766c8a824b35d97e79744834d8">More...</a><br /></td></tr>
<tr class="separator:ga55be1d766c8a824b35d97e79744834d8"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa8dca7b867074164d5f45b0f3851269d"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/db8/vectors__3d_8c.html#aa8dca7b867074164d5f45b0f3851269d">test</a> ()</td></tr>
<tr class="memdesc:aa8dca7b867074164d5f45b0f3851269d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Testing function. <a href="../../d5/db8/vectors__3d_8c.html#aa8dca7b867074164d5f45b0f3851269d">More...</a><br /></td></tr>
<tr class="separator:aa8dca7b867074164d5f45b0f3851269d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a840291bc02cba5474a4cb46a9b9566fe"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/db8/vectors__3d_8c.html#a840291bc02cba5474a4cb46a9b9566fe">main</a> (void)</td></tr>
<tr class="memdesc:a840291bc02cba5474a4cb46a9b9566fe"><td class="mdescLeft">&#160;</td><td class="mdescRight">Main function. <a href="../../d5/db8/vectors__3d_8c.html#a840291bc02cba5474a4cb46a9b9566fe">More...</a><br /></td></tr>
<tr class="separator:a840291bc02cba5474a4cb46a9b9566fe"><td class="memSeparator" colspan="2">&#160;</td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p >Functions related to 3D vector operations. </p>
<dl class="section author"><dt>Author</dt><dd>Krishna Vedala </dd></dl>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="a840291bc02cba5474a4cb46a9b9566fe" name="a840291bc02cba5474a4cb46a9b9566fe"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a840291bc02cba5474a4cb46a9b9566fe">&#9670;&#160;</a></span>main()</h2>
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<td class="memname">int main </td>
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<td class="paramtype">void&#160;</td>
<td class="paramname"></td><td>)</td>
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<p>Main function. </p>
<dl class="section return"><dt>Returns</dt><dd>0 on exit </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 261</span>{</div>
<div class="line"><span class="lineno"> 262</span> <a class="code hl_function" href="../../d5/db8/vectors__3d_8c.html#aa8dca7b867074164d5f45b0f3851269d">test</a>();</div>
<div class="line"><span class="lineno"> 263</span> </div>
<div class="line"><span class="lineno"> 264</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 265</span>}</div>
<div class="ttc" id="avectors__3d_8c_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../d5/db8/vectors__3d_8c.html#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdoc">Testing function.</div><div class="ttdef"><b>Definition:</b> vectors_3d.c:223</div></div>
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Here is the call graph for this function:</div>
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<h2 class="memtitle"><span class="permalink"><a href="#aa8dca7b867074164d5f45b0f3851269d">&#9670;&#160;</a></span>test()</h2>
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<td class="memname">static void test </td>
<td>(</td>
<td class="paramtype">void&#160;</td>
<td class="paramname"></td><td>)</td>
<td></td>
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<p>Testing function. </p>
<dl class="section return"><dt>Returns</dt><dd><code>void</code> </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 224</span>{</div>
<div class="line"><span class="lineno"> 225</span> <a class="code hl_struct" href="../../d5/db4/structvec__3d__.html">vec_3d</a> a = {1., 2., 3.};</div>
<div class="line"><span class="lineno"> 226</span> <a class="code hl_struct" href="../../d5/db4/structvec__3d__.html">vec_3d</a> b = {1., 1., 1.};</div>
<div class="line"><span class="lineno"> 227</span> <span class="keywordtype">float</span> d;</div>
<div class="line"><span class="lineno"> 228</span> </div>
<div class="line"><span class="lineno"> 229</span> <span class="comment">// printf(&quot;%s&quot;, print_vector(&amp;a, &quot;a&quot;));</span></div>
<div class="line"><span class="lineno"> 230</span> <span class="comment">// printf(&quot;%s&quot;, print_vector(&amp;b, &quot;b&quot;));</span></div>
<div class="line"><span class="lineno"> 231</span> </div>
<div class="line"><span class="lineno"> 232</span> d = <a class="code hl_function" href="../../de/d7b/group__vec__3d.html#ga94805165d037d111d7d7c0df99e3a5de">vector_norm</a>(&amp;a);</div>
<div class="line"><span class="lineno"> 233</span> <span class="comment">// printf(&quot;|a| = %.4g\n&quot;, d);</span></div>
<div class="line"><span class="lineno"> 234</span> assert(fabsf(d - 3.742f) &lt; 0.01);</div>
<div class="line"><span class="lineno"> 235</span> d = <a class="code hl_function" href="../../de/d7b/group__vec__3d.html#ga94805165d037d111d7d7c0df99e3a5de">vector_norm</a>(&amp;b);</div>
<div class="line"><span class="lineno"> 236</span> <span class="comment">// printf(&quot;|b| = %.4g\n&quot;, d);</span></div>
<div class="line"><span class="lineno"> 237</span> assert(fabsf(d - 1.732f) &lt; 0.01);</div>
<div class="line"><span class="lineno"> 238</span> </div>
<div class="line"><span class="lineno"> 239</span> d = <a class="code hl_function" href="../../de/d7b/group__vec__3d.html#ga243e74d542d0d4d14fa3ae0bc2170d84">dot_prod</a>(&amp;a, &amp;b);</div>
<div class="line"><span class="lineno"> 240</span> <span class="comment">// printf(&quot;Dot product: %f\n&quot;, d);</span></div>
<div class="line"><span class="lineno"> 241</span> assert(fabsf(d - 6.f) &lt; 0.01);</div>
<div class="line"><span class="lineno"> 242</span> </div>
<div class="line"><span class="lineno"> 243</span> <a class="code hl_struct" href="../../d5/db4/structvec__3d__.html">vec_3d</a> c = <a class="code hl_function" href="../../de/d7b/group__vec__3d.html#gae4a49e6bdf13df949e8b23c7925bb5f5">vector_prod</a>(&amp;a, &amp;b);</div>
<div class="line"><span class="lineno"> 244</span> <span class="comment">// printf(&quot;Vector product &quot;);</span></div>
<div class="line"><span class="lineno"> 245</span> <span class="comment">// printf(&quot;%s&quot;, print_vector(&amp;c, &quot;c&quot;));</span></div>
<div class="line"><span class="lineno"> 246</span> assert(fabsf(c.x - (-1.f)) &lt; 0.01);</div>
<div class="line"><span class="lineno"> 247</span> assert(fabsf(c.y - (2.f)) &lt; 0.01);</div>
<div class="line"><span class="lineno"> 248</span> assert(fabsf(c.z - (-1.f)) &lt; 0.01);</div>
<div class="line"><span class="lineno"> 249</span> </div>
<div class="line"><span class="lineno"> 250</span> <span class="keywordtype">double</span> alpha = <a class="code hl_function" href="../../de/d7b/group__vec__3d.html#ga55be1d766c8a824b35d97e79744834d8">get_angle</a>(&amp;a, &amp;b);</div>
<div class="line"><span class="lineno"> 251</span> <span class="comment">// printf(&quot;The angle is %f\n&quot;, alpha);</span></div>
<div class="line"><span class="lineno"> 252</span> assert(fabsf(alpha - 0.387597) &lt; 0.01);</div>
<div class="line"><span class="lineno"> 253</span>}</div>
<div class="ttc" id="agroup__vec__3d_html_ga243e74d542d0d4d14fa3ae0bc2170d84"><div class="ttname"><a href="../../de/d7b/group__vec__3d.html#ga243e74d542d0d4d14fa3ae0bc2170d84">dot_prod</a></div><div class="ttdeci">float dot_prod(const vec_3d *a, const vec_3d *b)</div><div class="ttdoc">Obtain the dot product of two 3D vectors.</div><div class="ttdef"><b>Definition:</b> vectors_3d.c:76</div></div>
<div class="ttc" id="agroup__vec__3d_html_ga55be1d766c8a824b35d97e79744834d8"><div class="ttname"><a href="../../de/d7b/group__vec__3d.html#ga55be1d766c8a824b35d97e79744834d8">get_angle</a></div><div class="ttdeci">double get_angle(const vec_3d *a, const vec_3d *b)</div><div class="ttdoc">Obtain the angle between two given vectors.</div><div class="ttdef"><b>Definition:</b> vectors_3d.c:202</div></div>
<div class="ttc" id="agroup__vec__3d_html_ga94805165d037d111d7d7c0df99e3a5de"><div class="ttname"><a href="../../de/d7b/group__vec__3d.html#ga94805165d037d111d7d7c0df99e3a5de">vector_norm</a></div><div class="ttdeci">float vector_norm(const vec_3d *a)</div><div class="ttdoc">Compute the norm a vector.</div><div class="ttdef"><b>Definition:</b> vectors_3d.c:138</div></div>
<div class="ttc" id="agroup__vec__3d_html_gae4a49e6bdf13df949e8b23c7925bb5f5"><div class="ttname"><a href="../../de/d7b/group__vec__3d.html#gae4a49e6bdf13df949e8b23c7925bb5f5">vector_prod</a></div><div class="ttdeci">vec_3d vector_prod(const vec_3d *a, const vec_3d *b)</div><div class="ttdoc">Compute the vector product of two 3d vectors.</div><div class="ttdef"><b>Definition:</b> vectors_3d.c:105</div></div>
<div class="ttc" id="astructvec__3d___html"><div class="ttname"><a href="../../d5/db4/structvec__3d__.html">vec_3d_</a></div><div class="ttdoc">3D vector type</div><div class="ttdef"><b>Definition:</b> geometry_datatypes.h:22</div></div>
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