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<title>Algorithms_in_C++: numerical_methods/inverse_fast_fourier_transform.cpp File Reference</title>
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@@ -127,18 +127,18 @@ Namespaces</h2></td></tr>
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="func-members" name="func-members"></a>
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Functions</h2></td></tr>
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<tr class="memitem:aee56dc85997b8cd42bad71a5d6bd2d93"><td class="memItemLeft" align="right" valign="top"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/complex.html">std::complex</a>< double > * </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d1/de0/namespacenumerical__methods.html#aee56dc85997b8cd42bad71a5d6bd2d93">numerical_methods::InverseFastFourierTransform</a> (<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/complex.html">std::complex</a>< double > *p, uint8_t n)</td></tr>
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<tr class="memdesc:aee56dc85997b8cd42bad71a5d6bd2d93"><td class="mdescLeft"> </td><td class="mdescRight">InverseFastFourierTransform is a recursive function which returns list of complex numbers. <a href="../../d1/de0/namespacenumerical__methods.html#aee56dc85997b8cd42bad71a5d6bd2d93">More...</a><br /></td></tr>
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<tr class="memdesc:aee56dc85997b8cd42bad71a5d6bd2d93"><td class="mdescLeft"> </td><td class="mdescRight">InverseFastFourierTransform is a recursive function which returns list of complex numbers. <br /></td></tr>
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<tr class="separator:aee56dc85997b8cd42bad71a5d6bd2d93"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:aa8dca7b867074164d5f45b0f3851269d"><td class="memItemLeft" align="right" valign="top">static void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d37/inverse__fast__fourier__transform_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a> ()</td></tr>
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<tr class="memdesc:aa8dca7b867074164d5f45b0f3851269d"><td class="mdescLeft"> </td><td class="mdescRight">Self-test implementations. <a href="../../d9/d37/inverse__fast__fourier__transform_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">More...</a><br /></td></tr>
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<tr class="memdesc:aa8dca7b867074164d5f45b0f3851269d"><td class="mdescLeft"> </td><td class="mdescRight">Self-test implementations. <br /></td></tr>
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<tr class="separator:aa8dca7b867074164d5f45b0f3851269d"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:abf9e6b7e6f15df4b525a2e7705ba3089"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d37/inverse__fast__fourier__transform_8cpp.html#abf9e6b7e6f15df4b525a2e7705ba3089">main</a> (int argc, char const *argv[])</td></tr>
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<tr class="memdesc:abf9e6b7e6f15df4b525a2e7705ba3089"><td class="mdescLeft"> </td><td class="mdescRight">Main function. <a href="../../d9/d37/inverse__fast__fourier__transform_8cpp.html#abf9e6b7e6f15df4b525a2e7705ba3089">More...</a><br /></td></tr>
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<tr class="memdesc:abf9e6b7e6f15df4b525a2e7705ba3089"><td class="mdescLeft"> </td><td class="mdescRight">Main function. <br /></td></tr>
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<tr class="separator:abf9e6b7e6f15df4b525a2e7705ba3089"><td class="memSeparator" colspan="2"> </td></tr>
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</table>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
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<div class="textblock"><p ><a href="https://www.geeksforgeeks.org/python-inverse-fast-fourier-transformation/" target="_blank">An inverse fast Fourier transform (IFFT)</a> is an algorithm that computes the inverse fourier transform. </p>
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<p >This algorithm has an application in use case scenario where a user wants find coefficients of a function in a short time by just using points generated by DFT. Time complexity this algorithm computes the IDFT in O(nlogn) time in comparison to traditional O(n^2). </p><dl class="section author"><dt>Author</dt><dd><a href="https://github.com/ameyachawlaggsipu" target="_blank">Ameya Chawla</a> </dd></dl>
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<div class="textblock"><p><a href="https://www.geeksforgeeks.org/python-inverse-fast-fourier-transformation/" target="_blank">An inverse fast Fourier transform (IFFT)</a> is an algorithm that computes the inverse fourier transform. </p>
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<p>This algorithm has an application in use case scenario where a user wants find coefficients of a function in a short time by just using points generated by DFT. Time complexity this algorithm computes the IDFT in O(nlogn) time in comparison to traditional O(n^2). </p><dl class="section author"><dt>Author</dt><dd><a href="https://github.com/ameyachawlaggsipu" target="_blank">Ameya Chawla</a> </dd></dl>
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</div><h2 class="groupheader">Function Documentation</h2>
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<a id="abf9e6b7e6f15df4b525a2e7705ba3089" name="abf9e6b7e6f15df4b525a2e7705ba3089"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#abf9e6b7e6f15df4b525a2e7705ba3089">◆ </a></span>main()</h2>
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</div><div class="memdoc">
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<p>Self-test implementations. </p>
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<p >Declaring two test cases and checking for the error in predicted and true value is less than 0.000000000001. </p><dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
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<p >Test case 1</p>
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<p >Test case 2</p>
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<p >True Answer for test case 1</p>
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<p >True Answer for test case 2</p>
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<p >Comparing for both real and imaginary values for test case 1</p>
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<p >Comparing for both real and imaginary values for test case 2</p>
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<p>Declaring two test cases and checking for the error in predicted and true value is less than 0.000000000001. </p><dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
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<p>Test case 1</p>
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<p>Test case 2</p>
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<p>True Answer for test case 1</p>
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<p>True Answer for test case 2</p>
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<p>Comparing for both real and imaginary values for test case 1</p>
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<p>Comparing for both real and imaginary values for test case 2</p>
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<div class="fragment"><div class="line"><span class="lineno"> 100</span> {</div>
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<div class="line"><span class="lineno"> 101</span> <span class="comment">/* descriptions of the following test */</span></div>
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<div class="line"><span class="lineno"> 102</span> </div>
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<li class="navelem"><a class="el" href="../../dir_9c6faab82c22511b50177aa2e38e2780.html">numerical_methods</a></li><li class="navelem"><a class="el" href="../../d9/d37/inverse__fast__fourier__transform_8cpp.html">inverse_fast_fourier_transform.cpp</a></li>
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