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<div class="title">ei_fftw_impl.h</div> </div>
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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">// This file is part of Eigen, a lightweight C++ template library</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment">// for linear algebra. </span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment">//</span></div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment">// Copyright (C) 2009 Mark Borgerding mark a borgerding net</span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment">//</span></div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment">// This Source Code Form is subject to the terms of the Mozilla</span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment">// Public License v. 2.0. If a copy of the MPL was not distributed</span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment">// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.</span></div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span> </div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="keyword">namespace </span>Eigen { </div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> </div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="keyword">namespace </span>internal {</div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span> </div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span>  <span class="comment">// FFTW uses non-const arguments</span></div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span>  <span class="comment">// so we must use ugly const_cast calls for all the args it uses</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>  <span class="comment">// This should be safe as long as </span></div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span>  <span class="comment">// 1. we use FFTW_ESTIMATE for all our planning</span></div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span>  <span class="comment">// see the FFTW docs section 4.3.2 "Planner Flags"</span></div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span>  <span class="comment">// 2. fftw_complex is compatible with std::complex</span></div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span>  <span class="comment">// This assumes std::complex<T> layout is array of size 2 with real,imag</span></div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> T> </div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span>  <span class="keyword">inline</span> </div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>  T * fftw_cast(<span class="keyword">const</span> T* p)</div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>  { </div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>  <span class="keywordflow">return</span> <span class="keyword">const_cast<</span>T*<span class="keyword">></span>( p); </div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  }</div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> </div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  <span class="keyword">inline</span> </div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  fftw_complex * fftw_cast( <span class="keyword">const</span> std::complex<double> * p)</div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  {</div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  <span class="keywordflow">return</span> <span class="keyword">const_cast<</span>fftw_complex*<span class="keyword">></span>( <span class="keyword">reinterpret_cast<</span><span class="keyword">const </span>fftw_complex*<span class="keyword">></span>(p) ); </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> </div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  <span class="keyword">inline</span> </div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  fftwf_complex * fftw_cast( <span class="keyword">const</span> std::complex<float> * p)</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="keywordflow">return</span> <span class="keyword">const_cast<</span>fftwf_complex*<span class="keyword">></span>( <span class="keyword">reinterpret_cast<</span><span class="keyword">const </span>fftwf_complex*<span class="keyword">></span>(p) ); </div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  }</div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span> </div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  <span class="keyword">inline</span> </div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  fftwl_complex * fftw_cast( <span class="keyword">const</span> std::complex<long double> * p)</div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  { </div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  <span class="keywordflow">return</span> <span class="keyword">const_cast<</span>fftwl_complex*<span class="keyword">></span>( <span class="keyword">reinterpret_cast<</span><span class="keyword">const </span>fftwl_complex*<span class="keyword">></span>(p) ); </div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  }</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="keyword">template</span> <<span class="keyword">typename</span> T> </div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  <span class="keyword">struct </span>fftw_plan {};</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="keyword">template</span> <> </div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  <span class="keyword">struct </span>fftw_plan<float></div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  {</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  <span class="keyword">typedef</span> <span class="keywordtype">float</span> scalar_type;</div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <span class="keyword">typedef</span> fftwf_complex complex_type;</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  fftwf_plan m_plan;</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  fftw_plan() :m_plan(NULL) {}</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  ~fftw_plan() {<span class="keywordflow">if</span> (m_plan) fftwf_destroy_plan(m_plan);}</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span> </div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <span class="keyword">inline</span></div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  <span class="keywordtype">void</span> fwd(complex_type * dst,complex_type * src,<span class="keywordtype">int</span> nfft) {</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  <span class="keywordflow">if</span> (m_plan==NULL) m_plan = fftwf_plan_dft_1d(nfft,src,dst, FFTW_FORWARD, FFTW_ESTIMATE|FFTW_PRESERVE_INPUT);</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  fftwf_execute_dft( m_plan, src,dst);</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  }</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <span class="keyword">inline</span></div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <span class="keywordtype">void</span> inv(complex_type * dst,complex_type * src,<span class="keywordtype">int</span> nfft) {</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  <span class="keywordflow">if</span> (m_plan==NULL) m_plan = fftwf_plan_dft_1d(nfft,src,dst, FFTW_BACKWARD , FFTW_ESTIMATE|FFTW_PRESERVE_INPUT);</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  fftwf_execute_dft( m_plan, src,dst);</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>  <span class="keyword">inline</span></div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <span class="keywordtype">void</span> fwd(complex_type * dst,scalar_type * src,<span class="keywordtype">int</span> nfft) {</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  <span class="keywordflow">if</span> (m_plan==NULL) m_plan = fftwf_plan_dft_r2c_1d(nfft,src,dst,FFTW_ESTIMATE|FFTW_PRESERVE_INPUT);</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  fftwf_execute_dft_r2c( m_plan,src,dst);</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>  <span class="keyword">inline</span></div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <span class="keywordtype">void</span> inv(scalar_type * dst,complex_type * src,<span class="keywordtype">int</span> nfft) {</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <span class="keywordflow">if</span> (m_plan==NULL)</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  m_plan = fftwf_plan_dft_c2r_1d(nfft,src,dst,FFTW_ESTIMATE|FFTW_PRESERVE_INPUT);</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  fftwf_execute_dft_c2r( m_plan, src,dst);</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  }</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span> </div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  <span class="keyword">inline</span> </div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  <span class="keywordtype">void</span> fwd2( complex_type * dst,complex_type * src,<span class="keywordtype">int</span> n0,<span class="keywordtype">int</span> n1) {</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  <span class="keywordflow">if</span> (m_plan==NULL) m_plan = fftwf_plan_dft_2d(n0,n1,src,dst,FFTW_FORWARD,FFTW_ESTIMATE|FFTW_PRESERVE_INPUT);</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  fftwf_execute_dft( m_plan, src,dst);</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  }</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  <span class="keyword">inline</span> </div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  <span class="keywordtype">void</span> inv2( complex_type * dst,complex_type * src,<span class="keywordtype">int</span> n0,<span class="keywordtype">int</span> n1) {</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  <span class="keywordflow">if</span> (m_plan==NULL) m_plan = fftwf_plan_dft_2d(n0,n1,src,dst,FFTW_BACKWARD,FFTW_ESTIMATE|FFTW_PRESERVE_INPUT);</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  fftwf_execute_dft( m_plan, src,dst);</div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  }</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>  };</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <span class="keyword">template</span> <> </div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  <span class="keyword">struct </span>fftw_plan<double></div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  {</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  <span class="keyword">typedef</span> <span class="keywordtype">double</span> scalar_type;</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  <span class="keyword">typedef</span> fftw_complex complex_type;</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  ::fftw_plan m_plan;</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  fftw_plan() :m_plan(NULL) {}</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  ~fftw_plan() {<span class="keywordflow">if</span> (m_plan) fftw_destroy_plan(m_plan);}</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span> </div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  <span class="keyword">inline</span></div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  <span class="keywordtype">void</span> fwd(complex_type * dst,complex_type * src,<span class="keywordtype">int</span> nfft) {</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <span class="keywordflow">if</span> (m_plan==NULL) m_plan = fftw_plan_dft_1d(nfft,src,dst, FFTW_FORWARD, FFTW_ESTIMATE|FFTW_PRESERVE_INPUT);</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  fftw_execute_dft( m_plan, src,dst);</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  }</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <span class="keyword">inline</span></div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  <span class="keywordtype">void</span> inv(complex_type * dst,complex_type * src,<span class="keywordtype">int</span> nfft) {</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  <span class="keywordflow">if</span> (m_plan==NULL) m_plan = fftw_plan_dft_1d(nfft,src,dst, FFTW_BACKWARD , FFTW_ESTIMATE|FFTW_PRESERVE_INPUT);</div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  fftw_execute_dft( m_plan, src,dst);</div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  }</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  <span class="keyword">inline</span></div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  <span class="keywordtype">void</span> fwd(complex_type * dst,scalar_type * src,<span class="keywordtype">int</span> nfft) {</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  <span class="keywordflow">if</span> (m_plan==NULL) m_plan = fftw_plan_dft_r2c_1d(nfft,src,dst,FFTW_ESTIMATE|FFTW_PRESERVE_INPUT);</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  fftw_execute_dft_r2c( m_plan,src,dst);</div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  }</div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  <span class="keyword">inline</span></div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  <span class="keywordtype">void</span> inv(scalar_type * dst,complex_type * src,<span class="keywordtype">int</span> nfft) {</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  <span class="keywordflow">if</span> (m_plan==NULL)</div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  m_plan = fftw_plan_dft_c2r_1d(nfft,src,dst,FFTW_ESTIMATE|FFTW_PRESERVE_INPUT);</div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  fftw_execute_dft_c2r( m_plan, src,dst);</div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  }</div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  <span class="keyword">inline</span> </div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  <span class="keywordtype">void</span> fwd2( complex_type * dst,complex_type * src,<span class="keywordtype">int</span> n0,<span class="keywordtype">int</span> n1) {</div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  <span class="keywordflow">if</span> (m_plan==NULL) m_plan = fftw_plan_dft_2d(n0,n1,src,dst,FFTW_FORWARD,FFTW_ESTIMATE|FFTW_PRESERVE_INPUT);</div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  fftw_execute_dft( m_plan, src,dst);</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  }</div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  <span class="keyword">inline</span> </div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  <span class="keywordtype">void</span> inv2( complex_type * dst,complex_type * src,<span class="keywordtype">int</span> n0,<span class="keywordtype">int</span> n1) {</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  <span class="keywordflow">if</span> (m_plan==NULL) m_plan = fftw_plan_dft_2d(n0,n1,src,dst,FFTW_BACKWARD,FFTW_ESTIMATE|FFTW_PRESERVE_INPUT);</div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  fftw_execute_dft( m_plan, src,dst);</div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  }</div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  };</div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  <span class="keyword">template</span> <> </div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  <span class="keyword">struct </span>fftw_plan<long double></div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  {</div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  <span class="keyword">typedef</span> <span class="keywordtype">long</span> <span class="keywordtype">double</span> scalar_type;</div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  <span class="keyword">typedef</span> fftwl_complex complex_type;</div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  fftwl_plan m_plan;</div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  fftw_plan() :m_plan(NULL) {}</div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  ~fftw_plan() {<span class="keywordflow">if</span> (m_plan) fftwl_destroy_plan(m_plan);}</div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span> </div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  <span class="keyword">inline</span></div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  <span class="keywordtype">void</span> fwd(complex_type * dst,complex_type * src,<span class="keywordtype">int</span> nfft) {</div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  <span class="keywordflow">if</span> (m_plan==NULL) m_plan = fftwl_plan_dft_1d(nfft,src,dst, FFTW_FORWARD, FFTW_ESTIMATE|FFTW_PRESERVE_INPUT);</div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  fftwl_execute_dft( m_plan, src,dst);</div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  }</div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  <span class="keyword">inline</span></div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  <span class="keywordtype">void</span> inv(complex_type * dst,complex_type * src,<span class="keywordtype">int</span> nfft) {</div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  <span class="keywordflow">if</span> (m_plan==NULL) m_plan = fftwl_plan_dft_1d(nfft,src,dst, FFTW_BACKWARD , FFTW_ESTIMATE|FFTW_PRESERVE_INPUT);</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  fftwl_execute_dft( m_plan, src,dst);</div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  }</div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  <span class="keyword">inline</span></div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  <span class="keywordtype">void</span> fwd(complex_type * dst,scalar_type * src,<span class="keywordtype">int</span> nfft) {</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  <span class="keywordflow">if</span> (m_plan==NULL) m_plan = fftwl_plan_dft_r2c_1d(nfft,src,dst,FFTW_ESTIMATE|FFTW_PRESERVE_INPUT);</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  fftwl_execute_dft_r2c( m_plan,src,dst);</div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  }</div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  <span class="keyword">inline</span></div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  <span class="keywordtype">void</span> inv(scalar_type * dst,complex_type * src,<span class="keywordtype">int</span> nfft) {</div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  <span class="keywordflow">if</span> (m_plan==NULL)</div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  m_plan = fftwl_plan_dft_c2r_1d(nfft,src,dst,FFTW_ESTIMATE|FFTW_PRESERVE_INPUT);</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  fftwl_execute_dft_c2r( m_plan, src,dst);</div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  }</div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  <span class="keyword">inline</span> </div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  <span class="keywordtype">void</span> fwd2( complex_type * dst,complex_type * src,<span class="keywordtype">int</span> n0,<span class="keywordtype">int</span> n1) {</div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  <span class="keywordflow">if</span> (m_plan==NULL) m_plan = fftwl_plan_dft_2d(n0,n1,src,dst,FFTW_FORWARD,FFTW_ESTIMATE|FFTW_PRESERVE_INPUT);</div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  fftwl_execute_dft( m_plan, src,dst);</div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  }</div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  <span class="keyword">inline</span> </div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  <span class="keywordtype">void</span> inv2( complex_type * dst,complex_type * src,<span class="keywordtype">int</span> n0,<span class="keywordtype">int</span> n1) {</div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  <span class="keywordflow">if</span> (m_plan==NULL) m_plan = fftwl_plan_dft_2d(n0,n1,src,dst,FFTW_BACKWARD,FFTW_ESTIMATE|FFTW_PRESERVE_INPUT);</div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  fftwl_execute_dft( m_plan, src,dst);</div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  }</div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  };</div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span> </div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> _Scalar></div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  <span class="keyword">struct </span>fftw_impl</div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  {</div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  <span class="keyword">typedef</span> _Scalar Scalar;</div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  <span class="keyword">typedef</span> std::complex<Scalar> Complex;</div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span> </div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  <span class="keyword">inline</span></div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  <span class="keywordtype">void</span> clear() </div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  {</div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  m_plans.clear();</div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  }</div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span> </div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  <span class="comment">// complex-to-complex forward FFT</span></div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  <span class="keyword">inline</span></div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  <span class="keywordtype">void</span> fwd( Complex * dst,<span class="keyword">const</span> Complex *src,<span class="keywordtype">int</span> nfft)</div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  {</div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  get_plan(nfft,<span class="keyword">false</span>,dst,src).fwd(fftw_cast(dst), fftw_cast(src),nfft );</div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  }</div>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span> </div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  <span class="comment">// real-to-complex forward FFT</span></div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  <span class="keyword">inline</span></div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  <span class="keywordtype">void</span> fwd( Complex * dst,<span class="keyword">const</span> Scalar * src,<span class="keywordtype">int</span> nfft) </div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  {</div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  get_plan(nfft,<span class="keyword">false</span>,dst,src).fwd(fftw_cast(dst), fftw_cast(src) ,nfft);</div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>  }</div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span> </div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  <span class="comment">// 2-d complex-to-complex</span></div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>  <span class="keyword">inline</span></div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  <span class="keywordtype">void</span> fwd2(Complex * dst, <span class="keyword">const</span> Complex * src, <span class="keywordtype">int</span> n0,<span class="keywordtype">int</span> n1)</div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  {</div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  get_plan(n0,n1,<span class="keyword">false</span>,dst,src).fwd2(fftw_cast(dst), fftw_cast(src) ,n0,n1);</div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  }</div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span> </div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>  <span class="comment">// inverse complex-to-complex</span></div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  <span class="keyword">inline</span></div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  <span class="keywordtype">void</span> inv(Complex * dst,<span class="keyword">const</span> Complex *src,<span class="keywordtype">int</span> nfft)</div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  {</div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  get_plan(nfft,<span class="keyword">true</span>,dst,src).inv(fftw_cast(dst), fftw_cast(src),nfft );</div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  }</div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span> </div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  <span class="comment">// half-complex to scalar</span></div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>  <span class="keyword">inline</span></div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>  <span class="keywordtype">void</span> inv( Scalar * dst,<span class="keyword">const</span> Complex * src,<span class="keywordtype">int</span> nfft) </div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  {</div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  get_plan(nfft,<span class="keyword">true</span>,dst,src).inv(fftw_cast(dst), fftw_cast(src),nfft );</div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  }</div>
<div class="line"><a name="l00222"></a><span class="lineno"> 222</span> </div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  <span class="comment">// 2-d complex-to-complex</span></div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  <span class="keyword">inline</span></div>
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>  <span class="keywordtype">void</span> inv2(Complex * dst, <span class="keyword">const</span> Complex * src, <span class="keywordtype">int</span> n0,<span class="keywordtype">int</span> n1)</div>
<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>  {</div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>  get_plan(n0,n1,<span class="keyword">true</span>,dst,src).inv2(fftw_cast(dst), fftw_cast(src) ,n0,n1);</div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  }</div>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span> </div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span> </div>
<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  <span class="keyword">protected</span>:</div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  <span class="keyword">typedef</span> fftw_plan<Scalar> PlanData;</div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span> </div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  <span class="keyword">typedef</span> std::map<int64_t,PlanData> PlanMap;</div>
<div class="line"><a name="l00235"></a><span class="lineno"> 235</span> </div>
<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>  PlanMap m_plans;</div>
<div class="line"><a name="l00237"></a><span class="lineno"> 237</span> </div>
<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  <span class="keyword">inline</span></div>
<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  PlanData & get_plan(<span class="keywordtype">int</span> nfft,<span class="keywordtype">bool</span> inverse,<span class="keywordtype">void</span> * dst,<span class="keyword">const</span> <span class="keywordtype">void</span> * src)</div>
<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>  {</div>
<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>  <span class="keywordtype">bool</span> inplace = (dst==src);</div>
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>  <span class="keywordtype">bool</span> aligned = ( (<span class="keyword">reinterpret_cast<</span><span class="keywordtype">size_t</span><span class="keyword">></span>(src)&15) | (<span class="keyword">reinterpret_cast<</span><span class="keywordtype">size_t</span><span class="keyword">></span>(dst)&15) ) == 0;</div>
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>  int64_t key = ( (nfft<<3 ) | (inverse<<2) | (inplace<<1) | aligned ) << 1;</div>
<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>  <span class="keywordflow">return</span> m_plans[key];</div>
<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>  }</div>
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span> </div>
<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  <span class="keyword">inline</span></div>
<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  PlanData & get_plan(<span class="keywordtype">int</span> n0,<span class="keywordtype">int</span> n1,<span class="keywordtype">bool</span> inverse,<span class="keywordtype">void</span> * dst,<span class="keyword">const</span> <span class="keywordtype">void</span> * src)</div>
<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>  {</div>
<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>  <span class="keywordtype">bool</span> inplace = (dst==src);</div>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  <span class="keywordtype">bool</span> aligned = ( (<span class="keyword">reinterpret_cast<</span><span class="keywordtype">size_t</span><span class="keyword">></span>(src)&15) | (<span class="keyword">reinterpret_cast<</span><span class="keywordtype">size_t</span><span class="keyword">></span>(dst)&15) ) == 0;</div>
<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  int64_t key = ( ( (((int64_t)n0) << 30)|(n1<<3 ) | (inverse<<2) | (inplace<<1) | aligned ) << 1 ) + 1;</div>
<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>  <span class="keywordflow">return</span> m_plans[key];</div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  }</div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>  };</div>
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span> </div>
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span> } <span class="comment">// end namespace internal</span></div>
<div class="line"><a name="l00258"></a><span class="lineno"> 258</span> </div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span> } <span class="comment">// end namespace Eigen</span></div>
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span> </div>
<div class="line"><a name="l00261"></a><span class="lineno"> 261</span> <span class="comment">/* vim: set filetype=cpp et sw=2 ts=2 ai: */</span></div>
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