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<div class="title">fft.cpp</div> </div>
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<a href="fft_8cpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/* =========================================================================</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> Copyright (c) 2010-2016, Institute for Microelectronics,</span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> Institute for Analysis and Scientific Computing,</span></div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> TU Wien.</span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> Portions of this software are copyright by UChicago Argonne, LLC.</span></div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"></span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> -----------------</span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> ViennaCL - The Vienna Computing Library</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"></span></div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="comment"> Project Head: Karl Rupp rupp@iue.tuwien.ac.at</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"> (A list of authors and contributors can be found in the PDF manual)</span></div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="comment"></span></div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="comment"> License: MIT (X11), see file LICENSE in the base directory</span></div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="comment"> ============================================================================= */</span></div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> </div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="comment">// include necessary system headers</span></div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include <iostream></span></div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#include <vector></span></div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#include <cmath></span></div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="preprocessor">#include <complex></span></div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="preprocessor">#include <fstream></span></div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> </div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="comment">// include basic scalar and vector types of ViennaCL</span></div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="preprocessor">#include "<a class="code" href="vector_8hpp.html">viennacl/vector.hpp</a>"</span></div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="preprocessor">#include "<a class="code" href="matrix_8hpp.html">viennacl/matrix.hpp</a>"</span></div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> </div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="comment">// include FFT routines</span></div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="preprocessor">#include "<a class="code" href="fft_8hpp.html">viennacl/fft.hpp</a>"</span></div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span> <span class="preprocessor">#include "<a class="code" href="fft__operations_8hpp.html">viennacl/linalg/fft_operations.hpp</a>"</span></div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> </div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span> <span class="keywordtype">int</span> <a class="code" href="tests_2src_2bisect_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a>()</div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span> {</div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  <span class="comment">// Feel free to change this type definition to double if your gpu supports that</span></div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  <span class="keyword">typedef</span> <span class="keywordtype">float</span> <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a>;</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="comment">// Create vectors of eight complex values (represented as pairs of floating point values: [real_0, imag_0, real_1, imag_1, etc.])</span></div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<ScalarType></a> input_vec(16);</div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<ScalarType></a> output_vec(16);</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<ScalarType></a> input2_vec(16);</div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span> </div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <a class="code" href="classviennacl_1_1matrix.html">viennacl::matrix<ScalarType></a> m(4, 8);</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <a class="code" href="classviennacl_1_1matrix.html">viennacl::matrix<ScalarType></a> o(4, 8);</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>  <span class="keywordflow">for</span> (std::size_t i = 0; i < m.size1(); i++)</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <span class="keywordflow">for</span> (std::size_t s = 0; s < m.size2(); s++)</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  m(i, s) = <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a>((i + s) / 2);</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span> </div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <span class="keywordflow">for</span> (std::size_t i = 0; i < input_vec.size(); ++i)</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  {</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <span class="keywordflow">if</span> (i % 2 == 0)</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  {</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  input_vec(i) = <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a>(i / 2); <span class="comment">// even indices represent real part</span></div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  input2_vec(i) = <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a>(i / 2);</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  } <span class="keywordflow">else</span></div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  input_vec(i) = 0; <span class="comment">// odd indices represent imaginary part</span></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> </div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  std::cout << <span class="stringliteral">"Computing FFT Matrix"</span> << std::endl;</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  std::cout << <span class="stringliteral">"m: "</span> << m << std::endl;</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  std::cout << <span class="stringliteral">"o: "</span> << o << std::endl;</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  <a class="code" href="fft__1d_8cpp.html#a56353420d188d1181ae49bf69283b497">viennacl::fft</a>(m, o);</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  std::cout << <span class="stringliteral">"Done"</span> << std::endl;</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  std::cout << <span class="stringliteral">"m: "</span> << m << std::endl;</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  std::cout << <span class="stringliteral">"o: "</span> << o << std::endl;</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  std::cout << <span class="stringliteral">"Transpose"</span> << std::endl;</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span> </div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#ae829451e793471ca5e8751cf89fec950">viennacl::linalg::transpose</a>(m, o);</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  <span class="comment">//viennacl::linalg::transpose(m);</span></div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  std::cout << <span class="stringliteral">"m: "</span> << m << std::endl;</div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  std::cout << <span class="stringliteral">"o: "</span> << o << std::endl;</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span> </div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  std::cout << <span class="stringliteral">"---------------------"</span> << std::endl;</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span> </div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  std::cout << <span class="stringliteral">"Computing FFT bluestein"</span> << std::endl;</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  <span class="comment">// Print the vector</span></div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  std::cout << <span class="stringliteral">"input_vec: "</span> << input_vec << std::endl;</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  std::cout << <span class="stringliteral">"Done"</span> << std::endl;</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#a4da8975bfe53f8a05145c8b44410ab27">viennacl::linalg::bluestein</a>(input_vec, output_vec, 0);</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  std::cout << <span class="stringliteral">"input_vec: "</span> << input_vec << std::endl;</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  std::cout << <span class="stringliteral">"output_vec: "</span> << output_vec << std::endl;</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  std::cout << <span class="stringliteral">"---------------------"</span> << std::endl;</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span> </div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  std::cout << <span class="stringliteral">"Computing FFT "</span> << std::endl;</div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  <span class="comment">// Print the vector</span></div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  std::cout << <span class="stringliteral">"input_vec: "</span> << input_vec << std::endl;</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  std::cout << <span class="stringliteral">"Done"</span> << std::endl;</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  <a class="code" href="fft__1d_8cpp.html#a56353420d188d1181ae49bf69283b497">viennacl::fft</a>(input_vec, output_vec);</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  std::cout << <span class="stringliteral">"input_vec: "</span> << input_vec << std::endl;</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  std::cout << <span class="stringliteral">"output_vec: "</span> << output_vec << std::endl;</div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  std::cout << <span class="stringliteral">"---------------------"</span> << std::endl;</div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span> </div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  std::cout << <span class="stringliteral">"Computing inverse FFT..."</span> << std::endl;</div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  <span class="comment">//viennacl::ifft(output_vec, input_vec); // either store result into output_vec</span></div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  viennacl::inplace_ifft(output_vec); <span class="comment">// or compute in-place</span></div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  std::cout << <span class="stringliteral">"input_vec: "</span> << input_vec << std::endl;</div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  std::cout << <span class="stringliteral">"output_vec: "</span> << output_vec << std::endl;</div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  std::cout << <span class="stringliteral">"---------------------"</span> << std::endl;</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span> </div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  std::cout << <span class="stringliteral">"Computing real to complex..."</span> << std::endl;</div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  std::cout << <span class="stringliteral">"input_vec: "</span> << input_vec << std::endl;</div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#ab46594affa4b4f500660ea741cc1582a">viennacl::linalg::real_to_complex</a>(input_vec, output_vec, input_vec.size() / 2); <span class="comment">// or compute in-place</span></div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  std::cout << <span class="stringliteral">"output_vec: "</span> << output_vec << std::endl;</div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  std::cout << <span class="stringliteral">"---------------------"</span> << std::endl;</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>  std::cout << <span class="stringliteral">"Computing complex to real..."</span> << std::endl;</div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  std::cout << <span class="stringliteral">"input_vec: "</span> << input_vec << std::endl;</div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  <span class="comment">//viennacl::ifft(output_vec, input_vec); // either store result into output_vec</span></div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#a45f767da9ec63fd7e37c1fae58dc2727">viennacl::linalg::complex_to_real</a>(input_vec, output_vec, input_vec.size() / 2); <span class="comment">// or compute in-place</span></div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  std::cout << <span class="stringliteral">"output_vec: "</span> << output_vec << std::endl;</div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  std::cout << <span class="stringliteral">"---------------------"</span> << std::endl;</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span> </div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  std::cout << <span class="stringliteral">"Computing multiply complex"</span> << std::endl;</div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  <span class="comment">// Print the vector</span></div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  std::cout << <span class="stringliteral">"input_vec: "</span> << input_vec << std::endl;</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  std::cout << <span class="stringliteral">"input2_vec: "</span> << input2_vec << std::endl;</div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#ad89501246ebdf434e5181cfa83116cb1">viennacl::linalg::multiply_complex</a>(input_vec, input2_vec, output_vec);</div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  std::cout << <span class="stringliteral">"Done"</span> << std::endl;</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  std::cout << <span class="stringliteral">"output_vec: "</span> << output_vec << std::endl;</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  std::cout << <span class="stringliteral">"---------------------"</span> << std::endl;</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span> </div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  std::cout << <span class="stringliteral">"!!!! TUTORIAL COMPLETED SUCCESSFULLY !!!!"</span> << std::endl;</div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  <span class="keywordflow">return</span> EXIT_SUCCESS;</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span> }</div>
<div class="ttc" id="matrix_8hpp_html"><div class="ttname"><a href="matrix_8hpp.html">matrix.hpp</a></div><div class="ttdoc">Implementation of the dense matrix class. </div></div>
<div class="ttc" id="tests_2src_2bisect_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="tests_2src_2bisect_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> <a href="tests_2src_2bisect_8cpp_source.html#l00091">bisect.cpp:91</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_html_ab46594affa4b4f500660ea741cc1582a"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#ab46594affa4b4f500660ea741cc1582a">viennacl::linalg::real_to_complex</a></div><div class="ttdeci">void real_to_complex(viennacl::vector_base< NumericT > const &in, viennacl::vector_base< NumericT > &out, vcl_size_t size)</div><div class="ttdoc">Create complex vector from real vector (even elements(2*k) = real part, odd elements(2*k+1) = imagina...</div><div class="ttdef"><b>Definition:</b> <a href="fft__operations_8hpp_source.html#l00390">fft_operations.hpp:390</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_html_a45f767da9ec63fd7e37c1fae58dc2727"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#a45f767da9ec63fd7e37c1fae58dc2727">viennacl::linalg::complex_to_real</a></div><div class="ttdeci">void complex_to_real(viennacl::vector_base< NumericT > const &in, viennacl::vector_base< NumericT > &out, vcl_size_t size)</div><div class="ttdoc">Create real vector from complex vector (even elements(2*k) = real part, odd elements(2*k+1) = imagina...</div><div class="ttdef"><b>Definition:</b> <a href="fft__operations_8hpp_source.html#l00421">fft_operations.hpp:421</a></div></div>
<div class="ttc" id="classviennacl_1_1matrix_html"><div class="ttname"><a href="classviennacl_1_1matrix.html">viennacl::matrix</a></div><div class="ttdoc">A dense matrix class. </div><div class="ttdef"><b>Definition:</b> <a href="forwards_8h_source.html#l00375">forwards.h:375</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_html_a4da8975bfe53f8a05145c8b44410ab27"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#a4da8975bfe53f8a05145c8b44410ab27">viennacl::linalg::bluestein</a></div><div class="ttdeci">void bluestein(viennacl::vector< NumericT, AlignmentV > &in, viennacl::vector< NumericT, AlignmentV > &out, vcl_size_t)</div><div class="ttdoc">Bluestein's algorithm for computing Fourier transformation. </div><div class="ttdef"><b>Definition:</b> <a href="fft__operations_8hpp_source.html#l00235">fft_operations.hpp:235</a></div></div>
<div class="ttc" id="fft__operations_8hpp_html"><div class="ttname"><a href="fft__operations_8hpp.html">fft_operations.hpp</a></div><div class="ttdoc">Implementations of Fast Furier Transformation. </div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_html_ad89501246ebdf434e5181cfa83116cb1"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#ad89501246ebdf434e5181cfa83116cb1">viennacl::linalg::multiply_complex</a></div><div class="ttdeci">void multiply_complex(viennacl::vector< NumericT, AlignmentV > const &input1, viennacl::vector< NumericT, AlignmentV > const &input2, viennacl::vector< NumericT, AlignmentV > &output)</div><div class="ttdoc">Mutiply two complex vectors and store result in output. </div><div class="ttdef"><b>Definition:</b> <a href="fft__operations_8hpp_source.html#l00267">fft_operations.hpp:267</a></div></div>
<div class="ttc" id="classviennacl_1_1vector_html"><div class="ttname"><a href="classviennacl_1_1vector.html">viennacl::vector< ScalarType ></a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_html_ae829451e793471ca5e8751cf89fec950"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#ae829451e793471ca5e8751cf89fec950">viennacl::linalg::transpose</a></div><div class="ttdeci">void transpose(viennacl::matrix< NumericT, viennacl::row_major, AlignmentV > &input)</div><div class="ttdoc">Inplace_transpose matrix. </div><div class="ttdef"><b>Definition:</b> <a href="fft__operations_8hpp_source.html#l00329">fft_operations.hpp:329</a></div></div>
<div class="ttc" id="vector_8hpp_html"><div class="ttname"><a href="vector_8hpp.html">vector.hpp</a></div><div class="ttdoc">The vector type with operator-overloads and proxy classes is defined here. Linear algebra operations ...</div></div>
<div class="ttc" id="fft__1d_8cpp_html_ad5c19ca4f47d3f8ec21232a5af2624e5"><div class="ttname"><a href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a></div><div class="ttdeci">float ScalarType</div><div class="ttdef"><b>Definition:</b> <a href="fft__1d_8cpp_source.html#l00042">fft_1d.cpp:42</a></div></div>
<div class="ttc" id="fft_8hpp_html"><div class="ttname"><a href="fft_8hpp.html">fft.hpp</a></div><div class="ttdoc">All routines related to the Fast Fourier Transform. Experimental. </div></div>
<div class="ttc" id="fft__1d_8cpp_html_a56353420d188d1181ae49bf69283b497"><div class="ttname"><a href="fft__1d_8cpp.html#a56353420d188d1181ae49bf69283b497">fft</a></div><div class="ttdeci">ScalarType fft(std::vector< ScalarType > &in, std::vector< ScalarType > &out, unsigned int, unsigned int, unsigned int batch_size)</div><div class="ttdef"><b>Definition:</b> <a href="fft__1d_8cpp_source.html#l00719">fft_1d.cpp:719</a></div></div>
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