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<a href="biquad_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span><span class="comment">/******************************************************************************</span></div>
<div class="line"><a id="l00002" name="l00002"></a><span class="lineno"> 2</span><span class="comment"> Copyright (c) 2012-2016 Institut für Nachrichtentechnik, Universität Rostock</span></div>
<div class="line"><a id="l00003" name="l00003"></a><span class="lineno"> 3</span><span class="comment"> Copyright (c) 2006-2012 Quality & Usability Lab</span></div>
<div class="line"><a id="l00004" name="l00004"></a><span class="lineno"> 4</span><span class="comment"> Deutsche Telekom Laboratories, TU Berlin</span></div>
<div class="line"><a id="l00005" name="l00005"></a><span class="lineno"> 5</span><span class="comment"></span> </div>
<div class="line"><a id="l00006" name="l00006"></a><span class="lineno"> 6</span><span class="comment"> Permission is hereby granted, free of charge, to any person obtaining a copy</span></div>
<div class="line"><a id="l00007" name="l00007"></a><span class="lineno"> 7</span><span class="comment"> of this software and associated documentation files (the "Software"), to deal</span></div>
<div class="line"><a id="l00008" name="l00008"></a><span class="lineno"> 8</span><span class="comment"> in the Software without restriction, including without limitation the rights</span></div>
<div class="line"><a id="l00009" name="l00009"></a><span class="lineno"> 9</span><span class="comment"> to use, copy, modify, merge, publish, distribute, sublicense, and/or sell</span></div>
<div class="line"><a id="l00010" name="l00010"></a><span class="lineno"> 10</span><span class="comment"> copies of the Software, and to permit persons to whom the Software is</span></div>
<div class="line"><a id="l00011" name="l00011"></a><span class="lineno"> 11</span><span class="comment"> furnished to do so, subject to the following conditions:</span></div>
<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"> 12</span><span class="comment"></span> </div>
<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span><span class="comment"> The above copyright notice and this permission notice shall be included in</span></div>
<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span><span class="comment"> all copies or substantial portions of the Software.</span></div>
<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span><span class="comment"></span> </div>
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span><span class="comment"> THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR</span></div>
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span><span class="comment"> IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,</span></div>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span><span class="comment"> FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE</span></div>
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span><span class="comment"> AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER</span></div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span><span class="comment"> LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,</span></div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span><span class="comment"> OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN</span></div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span><span class="comment"> THE SOFTWARE.</span></div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span><span class="comment">*******************************************************************************/</span></div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span> </div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span><span class="comment">// https://AudioProcessingFramework.github.io/</span></div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span> </div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span> </div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span><span class="preprocessor">#ifndef APF_BIQUAD_H</span></div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span><span class="preprocessor">#define APF_BIQUAD_H</span></div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> </div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span><span class="preprocessor">#include <iosfwd></span> <span class="comment">// for std::ostream</span></div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span><span class="preprocessor">#include <cmath></span> <span class="comment">// for std::pow(), std::tan(), std::sqrt(), ...</span></div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span><span class="preprocessor">#include <complex></span></div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span><span class="preprocessor">#include <vector></span></div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span><span class="preprocessor">#include <cassert></span> <span class="comment">// for assert()</span></div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> </div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span><span class="preprocessor">#include "<a class="code" href="denormalprevention_8h.html">apf/denormalprevention.h</a>"</span></div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span><span class="preprocessor">#include "<a class="code" href="math_8h.html">apf/math.h</a>"</span></div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> </div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span><span class="keyword">namespace </span><a class="code hl_namespace" href="namespaceapf.html">apf</a></div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span>{</div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> </div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span><span class="comment">// TODO: make macros for trivial operators (see iterator.h)</span></div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span><span class="comment">// TODO: combine SosCoefficients and LaplaceCoefficients in common class</span></div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span><span class="comment">// template and use typedef with dummy template arguments.</span></div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> </div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span><span class="keyword">template</span><<span class="keyword">typename</span> T></div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"><a class="line" href="structapf_1_1SosCoefficients.html"> 52</a></span><span class="keyword">struct </span><a class="code hl_struct" href="structapf_1_1SosCoefficients.html">SosCoefficients</a></div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span>{</div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> <a class="code hl_struct" href="structapf_1_1SosCoefficients.html">SosCoefficients</a>(T b0_ = T(), T b1_ = T(), T b2_ = T()</div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> , T a1_ = T(), T a2_ = T())</div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> : b0(b0_), b1(b1_), b2(b2_)</div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> , a1(a1_), a2(a2_)</div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> {}</div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> </div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> T b0, b1, b2;</div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> T a1, a2;</div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> </div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> <a class="code hl_struct" href="structapf_1_1SosCoefficients.html">SosCoefficients</a>& operator+=(<span class="keyword">const</span> <a class="code hl_struct" href="structapf_1_1SosCoefficients.html">SosCoefficients</a>& rhs)</div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> {</div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> b0 += rhs.b0; b1 += rhs.b1; b2 += rhs.b2;</div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> a1 += rhs.a1; a2 += rhs.a2;</div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> }</div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> </div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> <a class="code hl_struct" href="structapf_1_1SosCoefficients.html">SosCoefficients</a> operator+(<span class="keyword">const</span> <a class="code hl_struct" href="structapf_1_1SosCoefficients.html">SosCoefficients</a>& rhs)<span class="keyword"> const</span></div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span><span class="keyword"> </span>{</div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> <span class="keyword">auto</span> tmp = <a class="code hl_struct" href="structapf_1_1SosCoefficients.html">SosCoefficients</a>(*<span class="keyword">this</span>);</div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> <span class="keywordflow">return</span> tmp += rhs;</div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> }</div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> </div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> <a class="code hl_struct" href="structapf_1_1SosCoefficients.html">SosCoefficients</a>& operator*=(T rhs)</div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> {</div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> b0 *= rhs; b1 *= rhs; b2 *= rhs;</div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> a1 *= rhs; a2 *= rhs;</div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> }</div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> </div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> <a class="code hl_struct" href="structapf_1_1SosCoefficients.html">SosCoefficients</a> operator*(T rhs)<span class="keyword"> const</span></div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span><span class="keyword"> </span>{</div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> <span class="keyword">auto</span> tmp = <a class="code hl_struct" href="structapf_1_1SosCoefficients.html">SosCoefficients</a>(*<span class="keyword">this</span>);</div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> <span class="keywordflow">return</span> tmp *= rhs;</div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> }</div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> </div>
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> <a class="code hl_struct" href="structapf_1_1SosCoefficients.html">SosCoefficients</a>& operator/=(T rhs)</div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> {</div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> b0 /= rhs; b1 /= rhs; b2 /= rhs;</div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> a1 /= rhs; a2 /= rhs;</div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> }</div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> </div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> <a class="code hl_struct" href="structapf_1_1SosCoefficients.html">SosCoefficients</a> operator/(T rhs)<span class="keyword"> const</span></div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span><span class="keyword"> </span>{</div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> <span class="keyword">auto</span> tmp = <a class="code hl_struct" href="structapf_1_1SosCoefficients.html">SosCoefficients</a>(*<span class="keyword">this</span>);</div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> <span class="keywordflow">return</span> tmp /= rhs;</div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> }</div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> </div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> <span class="keyword">friend</span> <a class="code hl_struct" href="structapf_1_1SosCoefficients.html">SosCoefficients</a> operator*(T lhs, <span class="keyword">const</span> <a class="code hl_struct" href="structapf_1_1SosCoefficients.html">SosCoefficients</a>& rhs)</div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> {</div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> <span class="keyword">auto</span> temp = <a class="code hl_struct" href="structapf_1_1SosCoefficients.html">SosCoefficients</a>(rhs);</div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> <span class="keywordflow">return</span> temp *= lhs;</div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> }</div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> </div>
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> <span class="keyword">friend</span> <a class="code hl_struct" href="structapf_1_1SosCoefficients.html">SosCoefficients</a></div>
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> operator-(<span class="keyword">const</span> <a class="code hl_struct" href="structapf_1_1SosCoefficients.html">SosCoefficients</a>& lhs, <span class="keyword">const</span> <a class="code hl_struct" href="structapf_1_1SosCoefficients.html">SosCoefficients</a>& rhs)</div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> {</div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> <span class="keywordflow">return</span> {lhs.b0 - rhs.b0, lhs.b1 - rhs.b1, lhs.b2 - rhs.b2</div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> , lhs.a1 - rhs.a1, lhs.a2 - rhs.a2};</div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> }</div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> </div>
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> <span class="keyword">friend</span> std::ostream&</div>
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> operator<<(std::ostream& stream, <span class="keyword">const</span> <a class="code hl_struct" href="structapf_1_1SosCoefficients.html">SosCoefficients</a>& c)</div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> {</div>
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> stream << <span class="stringliteral">"b0: "</span> << c.b0 << <span class="stringliteral">", b1: "</span> << c.b1 << <span class="stringliteral">", b2: "</span> << c.b2</div>
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> << <span class="stringliteral">", a1: "</span> << c.a1 << <span class="stringliteral">", a2: "</span> << c.a2;</div>
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> <span class="keywordflow">return</span> stream;</div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> }</div>
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span>};</div>
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> </div>
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span><span class="keyword">template</span><<span class="keyword">typename</span> T></div>
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"><a class="line" href="structapf_1_1LaplaceCoefficients.html"> 127</a></span><span class="keyword">struct </span><a class="code hl_struct" href="structapf_1_1LaplaceCoefficients.html">LaplaceCoefficients</a></div>
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span>{</div>
<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> <a class="code hl_struct" href="structapf_1_1LaplaceCoefficients.html">LaplaceCoefficients</a>(T b0_ = T(), T b1_ = T(), T b2_ = T()</div>
<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span> , T a1_ = T(), T a2_ = T())</div>
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span> : b0(b0_), b1(b1_), b2(b2_)</div>
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> , a1(a1_), a2(a2_)</div>
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span> {}</div>
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span> </div>
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> T b0, b1, b2;</div>
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span> T a1, a2;</div>
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span>};</div>
<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> </div>
<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span><span class="keyword">template</span><<span class="keyword">typename</span> T, <span class="keyword">template</span><<span class="keyword">typename</span>> <span class="keyword">class </span>DenormalPrevention = apf::dp::ac></div>
<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"><a class="line" href="classapf_1_1BiQuad.html"> 145</a></span><span class="keyword">class </span><a class="code hl_class" href="classapf_1_1BiQuad.html">BiQuad</a> : <span class="keyword">public</span> <a class="code hl_struct" href="structapf_1_1SosCoefficients.html">SosCoefficients</a><T> , <span class="keyword">private</span> DenormalPrevention<T></div>
<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span>{</div>
<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span> <span class="keyword">public</span>:</div>
<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span> <span class="keyword">using </span>argument_type = T;</div>
<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span> <span class="keyword">using </span>result_type = T;</div>
<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span> </div>
<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span> <a class="code hl_class" href="classapf_1_1BiQuad.html">BiQuad</a>() : w0(), w1(), w2() {}</div>
<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span> </div>
<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"><a class="line" href="classapf_1_1BiQuad.html#abf60eed7e1e3f683a2b6f5d4f34ddddb"> 157</a></span> <a class="code hl_class" href="classapf_1_1BiQuad.html">BiQuad</a>& <a class="code hl_function" href="classapf_1_1BiQuad.html#abf60eed7e1e3f683a2b6f5d4f34ddddb">operator=</a>(<span class="keyword">const</span> <a class="code hl_struct" href="structapf_1_1SosCoefficients.html">SosCoefficients<T></a>& c)</div>
<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</span> {</div>
<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span> this-><a class="code hl_struct" href="structapf_1_1SosCoefficients.html">SosCoefficients<T>::operator=</a>(c);</div>
<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span> <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span> }</div>
<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span> </div>
<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"><a class="line" href="classapf_1_1BiQuad.html#aa097a3df8d7e56241dec62befc4a34b7"> 166</a></span> result_type <a class="code hl_function" href="classapf_1_1BiQuad.html#aa097a3df8d7e56241dec62befc4a34b7">operator()</a>(argument_type in)</div>
<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"> 167</span> {</div>
<div class="line"><a id="l00168" name="l00168"></a><span class="lineno"> 168</span> w0 = w1;</div>
<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span> w1 = w2;</div>
<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"> 170</span> w2 = in - this->a1*w1 - this->a2*w0;</div>
<div class="line"><a id="l00171" name="l00171"></a><span class="lineno"> 171</span> </div>
<div class="line"><a id="l00172" name="l00172"></a><span class="lineno"> 172</span> this->prevent_denormals(w2);</div>
<div class="line"><a id="l00173" name="l00173"></a><span class="lineno"> 173</span> </div>
<div class="line"><a id="l00174" name="l00174"></a><span class="lineno"> 174</span> in = this->b0*w2 + this->b1*w1 + this->b2*w0;</div>
<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"> 175</span> </div>
<div class="line"><a id="l00176" name="l00176"></a><span class="lineno"> 176</span> <span class="keywordflow">return</span> in;</div>
<div class="line"><a id="l00177" name="l00177"></a><span class="lineno"> 177</span> }</div>
<div class="line"><a id="l00178" name="l00178"></a><span class="lineno"> 178</span> </div>
<div class="line"><a id="l00179" name="l00179"></a><span class="lineno"> 179</span> T w0, w1, w2;</div>
<div class="line"><a id="l00180" name="l00180"></a><span class="lineno"> 180</span>};</div>
<div class="line"><a id="l00181" name="l00181"></a><span class="lineno"> 181</span> </div>
<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"> 184</span><span class="keyword">template</span><<span class="keyword">typename</span> S, <span class="keyword">typename</span> Container = std::vector<S>></div>
<div class="line"><a id="l00185" name="l00185"></a><span class="lineno"><a class="line" href="classapf_1_1Cascade.html"> 185</a></span><span class="keyword">class </span><a class="code hl_class" href="classapf_1_1Cascade.html">Cascade</a></div>
<div class="line"><a id="l00186" name="l00186"></a><span class="lineno"> 186</span>{</div>
<div class="line"><a id="l00187" name="l00187"></a><span class="lineno"> 187</span> <span class="keyword">public</span>:</div>
<div class="line"><a id="l00188" name="l00188"></a><span class="lineno"> 188</span> <span class="keyword">using </span>argument_type = <span class="keyword">typename</span> S::argument_type;</div>
<div class="line"><a id="l00189" name="l00189"></a><span class="lineno"> 189</span> <span class="keyword">using </span>result_type = <span class="keyword">typename</span> S::result_type;</div>
<div class="line"><a id="l00190" name="l00190"></a><span class="lineno"> 190</span> <span class="keyword">using </span>size_type = <span class="keyword">typename</span> Container::size_type;</div>
<div class="line"><a id="l00191" name="l00191"></a><span class="lineno"> 191</span> </div>
<div class="line"><a id="l00193" name="l00193"></a><span class="lineno"><a class="line" href="classapf_1_1Cascade.html#aca0ee113a2e770b4b3e5cd75776cb3bf"> 193</a></span> <span class="keyword">explicit</span> <a class="code hl_function" href="classapf_1_1Cascade.html#aca0ee113a2e770b4b3e5cd75776cb3bf">Cascade</a>(size_type n) : _sections(n) {}</div>
<div class="line"><a id="l00194" name="l00194"></a><span class="lineno"> 194</span> </div>
<div class="line"><a id="l00199" name="l00199"></a><span class="lineno"> 199</span> <span class="keyword">template</span><<span class="keyword">typename</span> I></div>
<div class="line"><a id="l00200" name="l00200"></a><span class="lineno"><a class="line" href="classapf_1_1Cascade.html#a17f8f3c87191d9984ed1817beda49f47"> 200</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="classapf_1_1Cascade.html#a17f8f3c87191d9984ed1817beda49f47">set</a>(I first, I last)</div>
<div class="line"><a id="l00201" name="l00201"></a><span class="lineno"> 201</span> {</div>
<div class="line"><a id="l00202" name="l00202"></a><span class="lineno"> 202</span> assert(_sections.size() == size_type(std::distance(first, last)));</div>
<div class="line"><a id="l00203" name="l00203"></a><span class="lineno"> 203</span> </div>
<div class="line"><a id="l00204" name="l00204"></a><span class="lineno"> 204</span> std::copy(first, last, _sections.begin());</div>
<div class="line"><a id="l00205" name="l00205"></a><span class="lineno"> 205</span> }</div>
<div class="line"><a id="l00206" name="l00206"></a><span class="lineno"> 206</span> </div>
<div class="line"><a id="l00210" name="l00210"></a><span class="lineno"><a class="line" href="classapf_1_1Cascade.html#a76885727e13dfe979dec449b083c8297"> 210</a></span> result_type <a class="code hl_function" href="classapf_1_1Cascade.html#a76885727e13dfe979dec449b083c8297">operator()</a>(argument_type in)</div>
<div class="line"><a id="l00211" name="l00211"></a><span class="lineno"> 211</span> {</div>
<div class="line"><a id="l00212" name="l00212"></a><span class="lineno"> 212</span> <span class="keywordflow">for</span> (<span class="keyword">auto</span>& section: _sections)</div>
<div class="line"><a id="l00213" name="l00213"></a><span class="lineno"> 213</span> {</div>
<div class="line"><a id="l00214" name="l00214"></a><span class="lineno"> 214</span> in = section(in);</div>
<div class="line"><a id="l00215" name="l00215"></a><span class="lineno"> 215</span> }</div>
<div class="line"><a id="l00216" name="l00216"></a><span class="lineno"> 216</span> <span class="keywordflow">return</span> in;</div>
<div class="line"><a id="l00217" name="l00217"></a><span class="lineno"> 217</span> }</div>
<div class="line"><a id="l00218" name="l00218"></a><span class="lineno"> 218</span> </div>
<div class="line"><a id="l00225" name="l00225"></a><span class="lineno"> 225</span> <span class="keyword">template</span><<span class="keyword">typename</span> In, <span class="keyword">typename</span> Out></div>
<div class="line"><a id="l00226" name="l00226"></a><span class="lineno"><a class="line" href="classapf_1_1Cascade.html#adf178e39544ea6a1c10803fee1dea927"> 226</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="classapf_1_1Cascade.html#adf178e39544ea6a1c10803fee1dea927">execute</a>(In first, In last, Out result)</div>
<div class="line"><a id="l00227" name="l00227"></a><span class="lineno"> 227</span> {</div>
<div class="line"><a id="l00228" name="l00228"></a><span class="lineno"> 228</span> <span class="keyword">using </span>out_t = <span class="keyword">typename</span> std::iterator_traits<Out>::value_type;</div>
<div class="line"><a id="l00229" name="l00229"></a><span class="lineno"> 229</span> </div>
<div class="line"><a id="l00230" name="l00230"></a><span class="lineno"> 230</span> <span class="keywordflow">while</span> (first != last)</div>
<div class="line"><a id="l00231" name="l00231"></a><span class="lineno"> 231</span> {</div>
<div class="line"><a id="l00232" name="l00232"></a><span class="lineno"> 232</span> *result++ = <span class="keyword">static_cast<</span>out_t<span class="keyword">></span>(this-><a class="code hl_function" href="classapf_1_1Cascade.html#a76885727e13dfe979dec449b083c8297">operator()</a>(*first));</div>
<div class="line"><a id="l00233" name="l00233"></a><span class="lineno"> 233</span> ++first;</div>
<div class="line"><a id="l00234" name="l00234"></a><span class="lineno"> 234</span> }</div>
<div class="line"><a id="l00235" name="l00235"></a><span class="lineno"> 235</span> }</div>
<div class="line"><a id="l00236" name="l00236"></a><span class="lineno"> 236</span> </div>
<div class="line"><a id="l00237" name="l00237"></a><span class="lineno"> 237</span> size_type number_of_sections()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> _sections.size(); }</div>
<div class="line"><a id="l00238" name="l00238"></a><span class="lineno"> 238</span> </div>
<div class="line"><a id="l00239" name="l00239"></a><span class="lineno"> 239</span> <span class="keyword">private</span>:</div>
<div class="line"><a id="l00240" name="l00240"></a><span class="lineno"> 240</span> Container _sections;</div>
<div class="line"><a id="l00241" name="l00241"></a><span class="lineno"> 241</span>};</div>
<div class="line"><a id="l00242" name="l00242"></a><span class="lineno"> 242</span> </div>
<div class="line"><a id="l00243" name="l00243"></a><span class="lineno"> 243</span><span class="keyword">namespace </span>internal</div>
<div class="line"><a id="l00244" name="l00244"></a><span class="lineno"> 244</span>{</div>
<div class="line"><a id="l00245" name="l00245"></a><span class="lineno"> 245</span> </div>
<div class="line"><a id="l00253" name="l00253"></a><span class="lineno"> 253</span><span class="keyword">template</span><<span class="keyword">typename</span> T></div>
<div class="line"><a id="l00254" name="l00254"></a><span class="lineno"><a class="line" href="biquad_8h.html#a76a14a4bd409d7589bcb4c1044dc3b7d"> 254</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="biquad_8h.html#a76a14a4bd409d7589bcb4c1044dc3b7d">roots2poly</a>(T Roots[2][2], T& poly1, T& poly2)</div>
<div class="line"><a id="l00255" name="l00255"></a><span class="lineno"> 255</span>{</div>
<div class="line"><a id="l00256" name="l00256"></a><span class="lineno"> 256</span> T two = 2.0;</div>
<div class="line"><a id="l00257" name="l00257"></a><span class="lineno"> 257</span> </div>
<div class="line"><a id="l00258" name="l00258"></a><span class="lineno"> 258</span> std::complex<T> eig[2];</div>
<div class="line"><a id="l00259" name="l00259"></a><span class="lineno"> 259</span> </div>
<div class="line"><a id="l00260" name="l00260"></a><span class="lineno"> 260</span> T tmp_arg = std::pow((Roots[0][0]+Roots[1][1])/two, two)</div>
<div class="line"><a id="l00261" name="l00261"></a><span class="lineno"> 261</span> + Roots[0][1]*Roots[1][0] - Roots[0][0]*Roots[1][1];</div>
<div class="line"><a id="l00262" name="l00262"></a><span class="lineno"> 262</span> </div>
<div class="line"><a id="l00263" name="l00263"></a><span class="lineno"> 263</span> <span class="keywordflow">if</span> (tmp_arg > 0)</div>
<div class="line"><a id="l00264" name="l00264"></a><span class="lineno"> 264</span> {</div>
<div class="line"><a id="l00265" name="l00265"></a><span class="lineno"> 265</span> eig[0] = (Roots[0][0]+Roots[1][1])/two + std::sqrt(tmp_arg);</div>
<div class="line"><a id="l00266" name="l00266"></a><span class="lineno"> 266</span> eig[1] = (Roots[0][0]+Roots[1][1])/two - std::sqrt(tmp_arg);</div>
<div class="line"><a id="l00267" name="l00267"></a><span class="lineno"> 267</span> }</div>
<div class="line"><a id="l00268" name="l00268"></a><span class="lineno"> 268</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00269" name="l00269"></a><span class="lineno"> 269</span> {</div>
<div class="line"><a id="l00270" name="l00270"></a><span class="lineno"> 270</span> eig[0] = std::complex<T>((Roots[0][0]+Roots[1][1])/two, std::sqrt(-tmp_arg));</div>
<div class="line"><a id="l00271" name="l00271"></a><span class="lineno"> 271</span> eig[1] = std::complex<T>((Roots[0][0]+Roots[1][1])/two, -std::sqrt(-tmp_arg));</div>
<div class="line"><a id="l00272" name="l00272"></a><span class="lineno"> 272</span> }</div>
<div class="line"><a id="l00273" name="l00273"></a><span class="lineno"> 273</span> </div>
<div class="line"><a id="l00274" name="l00274"></a><span class="lineno"> 274</span> poly1 = real(-eig[0] - eig[1]);</div>
<div class="line"><a id="l00275" name="l00275"></a><span class="lineno"> 275</span> poly2 = real(-eig[1] * -eig[0]);</div>
<div class="line"><a id="l00276" name="l00276"></a><span class="lineno"> 276</span>}</div>
<div class="line"><a id="l00277" name="l00277"></a><span class="lineno"> 277</span> </div>
<div class="line"><a id="l00278" name="l00278"></a><span class="lineno"> 278</span>} <span class="comment">// namespace internal</span></div>
<div class="line"><a id="l00279" name="l00279"></a><span class="lineno"> 279</span> </div>
<div class="line"><a id="l00288" name="l00288"></a><span class="lineno"> 288</span><span class="keyword">template</span><<span class="keyword">typename</span> T></div>
<div class="line"><a id="l00289" name="l00289"></a><span class="lineno"><a class="line" href="namespaceapf.html#a4c02c4c6fcddb640f300a6d588f64989"> 289</a></span><a class="code hl_struct" href="structapf_1_1SosCoefficients.html">SosCoefficients<T></a> <a class="code hl_function" href="namespaceapf.html#a4c02c4c6fcddb640f300a6d588f64989">bilinear</a>(<a class="code hl_struct" href="structapf_1_1LaplaceCoefficients.html">LaplaceCoefficients<T></a> coeffs_in, <span class="keywordtype">int</span> fs, <span class="keywordtype">int</span> fp)</div>
<div class="line"><a id="l00290" name="l00290"></a><span class="lineno"> 290</span>{</div>
<div class="line"><a id="l00291" name="l00291"></a><span class="lineno"> 291</span> <a class="code hl_struct" href="structapf_1_1SosCoefficients.html">SosCoefficients<T></a> coeffs_out;</div>
<div class="line"><a id="l00292" name="l00292"></a><span class="lineno"> 292</span> </div>
<div class="line"><a id="l00293" name="l00293"></a><span class="lineno"> 293</span> T one = 1.0;</div>
<div class="line"><a id="l00294" name="l00294"></a><span class="lineno"> 294</span> T two = 2.0;</div>
<div class="line"><a id="l00295" name="l00295"></a><span class="lineno"> 295</span> </div>
<div class="line"><a id="l00296" name="l00296"></a><span class="lineno"> 296</span> <span class="comment">// prewarp</span></div>
<div class="line"><a id="l00297" name="l00297"></a><span class="lineno"> 297</span> T fp_temp = <span class="keyword">static_cast<</span>T<span class="keyword">></span>(fp) * (two * apf::math::pi<T>());</div>
<div class="line"><a id="l00298" name="l00298"></a><span class="lineno"> 298</span> T lambda = fp_temp / std::tan(fp_temp / <span class="keyword">static_cast<</span>T<span class="keyword">></span>(fs) / two) / two;</div>
<div class="line"><a id="l00299" name="l00299"></a><span class="lineno"> 299</span> </div>
<div class="line"><a id="l00300" name="l00300"></a><span class="lineno"> 300</span> <span class="comment">// calculate state space representation</span></div>
<div class="line"><a id="l00301" name="l00301"></a><span class="lineno"> 301</span> T A[2][2] = { { -coeffs_in.a1, -coeffs_in.a2 }, { 1.0, 0.0 } };</div>
<div class="line"><a id="l00302" name="l00302"></a><span class="lineno"> 302</span> T B[2] = { 1.0, 0.0 };</div>
<div class="line"><a id="l00303" name="l00303"></a><span class="lineno"> 303</span> T C[2] = { coeffs_in.b1-coeffs_in.a1, coeffs_in.b2-coeffs_in.a2 };</div>
<div class="line"><a id="l00304" name="l00304"></a><span class="lineno"> 304</span> T D = 1.0;</div>
<div class="line"><a id="l00305" name="l00305"></a><span class="lineno"> 305</span> </div>
<div class="line"><a id="l00306" name="l00306"></a><span class="lineno"> 306</span> T t = one / lambda;</div>
<div class="line"><a id="l00307" name="l00307"></a><span class="lineno"> 307</span> T r = std::sqrt(t);</div>
<div class="line"><a id="l00308" name="l00308"></a><span class="lineno"> 308</span> </div>
<div class="line"><a id="l00309" name="l00309"></a><span class="lineno"> 309</span> T T1[2][2] = { { (t/two)*A[0][0] + one, (t/two)*A[0][1] },</div>
<div class="line"><a id="l00310" name="l00310"></a><span class="lineno"> 310</span> { (t/two)*A[1][0], (t/two)*A[1][1] + one } };</div>
<div class="line"><a id="l00311" name="l00311"></a><span class="lineno"> 311</span> T T2[2][2] = { { -(t/two)*A[0][0] + one, -(t/two)*A[0][1] },</div>
<div class="line"><a id="l00312" name="l00312"></a><span class="lineno"> 312</span> { -(t/two)*A[1][0], -(t/two)*A[1][1] + one} };</div>
<div class="line"><a id="l00313" name="l00313"></a><span class="lineno"> 313</span> </div>
<div class="line"><a id="l00314" name="l00314"></a><span class="lineno"> 314</span> <span class="comment">// solve linear equation systems</span></div>
<div class="line"><a id="l00315" name="l00315"></a><span class="lineno"> 315</span> T det = T2[0][0]*T2[1][1] - T2[0][1]*T2[1][0];</div>
<div class="line"><a id="l00316" name="l00316"></a><span class="lineno"> 316</span> T Ad[2][2] = { { (T1[0][0]*T2[1][1] - T1[1][0]*T2[0][1]) / det,</div>
<div class="line"><a id="l00317" name="l00317"></a><span class="lineno"> 317</span> (T1[0][1]*T2[1][1] - T1[1][1]*T2[0][1]) / det },</div>
<div class="line"><a id="l00318" name="l00318"></a><span class="lineno"> 318</span> { (T1[1][0]*T2[0][0] - T1[0][0]*T2[1][0]) / det,</div>
<div class="line"><a id="l00319" name="l00319"></a><span class="lineno"> 319</span> (T1[1][1]*T2[0][0] - T1[0][1]*T2[1][0]) / det } };</div>
<div class="line"><a id="l00320" name="l00320"></a><span class="lineno"> 320</span> T Bd[2] = { (t/r) * (B[0]*T2[1][1] - B[1]*T2[0][1]) / det,</div>
<div class="line"><a id="l00321" name="l00321"></a><span class="lineno"> 321</span> (t/r) * (B[1]*T2[0][0] - B[0]*T2[1][0]) / det };</div>
<div class="line"><a id="l00322" name="l00322"></a><span class="lineno"> 322</span> T Cd[2] = { (C[0]*T2[1][1] - C[1]*T2[1][0]) / det,</div>
<div class="line"><a id="l00323" name="l00323"></a><span class="lineno"> 323</span> (C[1]*T2[0][0] - C[0]*T2[0][1]) / det };</div>
<div class="line"><a id="l00324" name="l00324"></a><span class="lineno"> 324</span> T Dd = (B[0]*Cd[0] + B[1]*Cd[1]) * (t/two) + D;</div>
<div class="line"><a id="l00325" name="l00325"></a><span class="lineno"> 325</span> </div>
<div class="line"><a id="l00326" name="l00326"></a><span class="lineno"> 326</span> Cd[0] *= r;</div>
<div class="line"><a id="l00327" name="l00327"></a><span class="lineno"> 327</span> Cd[1] *= r;</div>
<div class="line"><a id="l00328" name="l00328"></a><span class="lineno"> 328</span> </div>
<div class="line"><a id="l00329" name="l00329"></a><span class="lineno"> 329</span> <span class="comment">// convert roots to polynomial</span></div>
<div class="line"><a id="l00330" name="l00330"></a><span class="lineno"> 330</span> internal::roots2poly(Ad, coeffs_out.a1, coeffs_out.a2);</div>
<div class="line"><a id="l00331" name="l00331"></a><span class="lineno"> 331</span> </div>
<div class="line"><a id="l00332" name="l00332"></a><span class="lineno"> 332</span> T Tmp[2][2] = { { Ad[0][0]-Bd[0]*Cd[0], Ad[0][1]-Bd[0]*Cd[1] },</div>
<div class="line"><a id="l00333" name="l00333"></a><span class="lineno"> 333</span> { Ad[1][0]-Bd[1]*Cd[0], Ad[1][1]-Bd[1]*Cd[1] } };</div>
<div class="line"><a id="l00334" name="l00334"></a><span class="lineno"> 334</span> </div>
<div class="line"><a id="l00335" name="l00335"></a><span class="lineno"> 335</span> internal::roots2poly(Tmp, coeffs_out.b1, coeffs_out.b2);</div>
<div class="line"><a id="l00336" name="l00336"></a><span class="lineno"> 336</span> </div>
<div class="line"><a id="l00337" name="l00337"></a><span class="lineno"> 337</span> coeffs_out.b0 = Dd;</div>
<div class="line"><a id="l00338" name="l00338"></a><span class="lineno"> 338</span> coeffs_out.b1 += (Dd-one)*coeffs_out.a1;</div>
<div class="line"><a id="l00339" name="l00339"></a><span class="lineno"> 339</span> coeffs_out.b2 += (Dd-one)*coeffs_out.a2;</div>
<div class="line"><a id="l00340" name="l00340"></a><span class="lineno"> 340</span> </div>
<div class="line"><a id="l00341" name="l00341"></a><span class="lineno"> 341</span> <span class="keywordflow">return</span> coeffs_out;</div>
<div class="line"><a id="l00342" name="l00342"></a><span class="lineno"> 342</span>}</div>
<div class="line"><a id="l00343" name="l00343"></a><span class="lineno"> 343</span> </div>
<div class="line"><a id="l00344" name="l00344"></a><span class="lineno"> 344</span>} <span class="comment">// namespace apf</span></div>
<div class="line"><a id="l00345" name="l00345"></a><span class="lineno"> 345</span> </div>
<div class="line"><a id="l00346" name="l00346"></a><span class="lineno"> 346</span><span class="preprocessor">#endif</span></div>
<div class="ttc" id="abiquad_8h_html_a76a14a4bd409d7589bcb4c1044dc3b7d"><div class="ttname"><a href="biquad_8h.html#a76a14a4bd409d7589bcb4c1044dc3b7d">apf::internal::roots2poly</a></div><div class="ttdeci">void roots2poly(T Roots[2][2], T &poly1, T &poly2)</div><div class="ttdoc">Roots-to-polynomial conversion.</div><div class="ttdef"><b>Definition:</b> <a href="biquad_8h_source.html#l00254">biquad.h:254</a></div></div>
<div class="ttc" id="aclassapf_1_1BiQuad_html"><div class="ttname"><a href="classapf_1_1BiQuad.html">apf::BiQuad</a></div><div class="ttdoc">Direct Form II recursive filter of second order.</div><div class="ttdef"><b>Definition:</b> <a href="biquad_8h_source.html#l00145">biquad.h:146</a></div></div>
<div class="ttc" id="aclassapf_1_1BiQuad_html_aa097a3df8d7e56241dec62befc4a34b7"><div class="ttname"><a href="classapf_1_1BiQuad.html#aa097a3df8d7e56241dec62befc4a34b7">apf::BiQuad::operator()</a></div><div class="ttdeci">result_type operator()(argument_type in)</div><div class="ttdoc">Process filter on single sample.</div><div class="ttdef"><b>Definition:</b> <a href="biquad_8h_source.html#l00166">biquad.h:166</a></div></div>
<div class="ttc" id="aclassapf_1_1BiQuad_html_abf60eed7e1e3f683a2b6f5d4f34ddddb"><div class="ttname"><a href="classapf_1_1BiQuad.html#abf60eed7e1e3f683a2b6f5d4f34ddddb">apf::BiQuad::operator=</a></div><div class="ttdeci">BiQuad & operator=(const SosCoefficients< T > &c)</div><div class="ttdoc">Assignment operator.</div><div class="ttdef"><b>Definition:</b> <a href="biquad_8h_source.html#l00157">biquad.h:157</a></div></div>
<div class="ttc" id="aclassapf_1_1Cascade_html"><div class="ttname"><a href="classapf_1_1Cascade.html">apf::Cascade</a></div><div class="ttdoc">Cascade of filter sections.</div><div class="ttdef"><b>Definition:</b> <a href="biquad_8h_source.html#l00185">biquad.h:186</a></div></div>
<div class="ttc" id="aclassapf_1_1Cascade_html_a17f8f3c87191d9984ed1817beda49f47"><div class="ttname"><a href="classapf_1_1Cascade.html#a17f8f3c87191d9984ed1817beda49f47">apf::Cascade::set</a></div><div class="ttdeci">void set(I first, I last)</div><div class="ttdoc">Overwrite sections with new content.</div><div class="ttdef"><b>Definition:</b> <a href="biquad_8h_source.html#l00200">biquad.h:200</a></div></div>
<div class="ttc" id="aclassapf_1_1Cascade_html_a76885727e13dfe979dec449b083c8297"><div class="ttname"><a href="classapf_1_1Cascade.html#a76885727e13dfe979dec449b083c8297">apf::Cascade::operator()</a></div><div class="ttdeci">result_type operator()(argument_type in)</div><div class="ttdoc">Process all sections on single sample.</div><div class="ttdef"><b>Definition:</b> <a href="biquad_8h_source.html#l00210">biquad.h:210</a></div></div>
<div class="ttc" id="aclassapf_1_1Cascade_html_aca0ee113a2e770b4b3e5cd75776cb3bf"><div class="ttname"><a href="classapf_1_1Cascade.html#aca0ee113a2e770b4b3e5cd75776cb3bf">apf::Cascade::Cascade</a></div><div class="ttdeci">Cascade(size_type n)</div><div class="ttdoc">Constructor.</div><div class="ttdef"><b>Definition:</b> <a href="biquad_8h_source.html#l00193">biquad.h:193</a></div></div>
<div class="ttc" id="aclassapf_1_1Cascade_html_adf178e39544ea6a1c10803fee1dea927"><div class="ttname"><a href="classapf_1_1Cascade.html#adf178e39544ea6a1c10803fee1dea927">apf::Cascade::execute</a></div><div class="ttdeci">void execute(In first, In last, Out result)</div><div class="ttdoc">Process all sections on audio block.</div><div class="ttdef"><b>Definition:</b> <a href="biquad_8h_source.html#l00226">biquad.h:226</a></div></div>
<div class="ttc" id="adenormalprevention_8h_html"><div class="ttname"><a href="denormalprevention_8h.html">denormalprevention.h</a></div><div class="ttdoc">Different methods to prevent denormal numbers.</div></div>
<div class="ttc" id="amath_8h_html"><div class="ttname"><a href="math_8h.html">math.h</a></div><div class="ttdoc">Mathematical constants and helper functions.</div></div>
<div class="ttc" id="anamespaceapf_html"><div class="ttname"><a href="namespaceapf.html">apf</a></div><div class="ttdoc">Audio Processing Framework.</div><div class="ttdef"><b>Definition:</b> <a href="iterator_8h_source.html#l00060">iterator.h:61</a></div></div>
<div class="ttc" id="anamespaceapf_html_a4c02c4c6fcddb640f300a6d588f64989"><div class="ttname"><a href="namespaceapf.html#a4c02c4c6fcddb640f300a6d588f64989">apf::bilinear</a></div><div class="ttdeci">SosCoefficients< T > bilinear(LaplaceCoefficients< T > coeffs_in, int fs, int fp)</div><div class="ttdoc">Bilinear transform.</div><div class="ttdef"><b>Definition:</b> <a href="biquad_8h_source.html#l00289">biquad.h:289</a></div></div>
<div class="ttc" id="astructapf_1_1LaplaceCoefficients_html"><div class="ttname"><a href="structapf_1_1LaplaceCoefficients.html">apf::LaplaceCoefficients</a></div><div class="ttdoc">Coefficients of analog recursive filter.</div><div class="ttdef"><b>Definition:</b> <a href="biquad_8h_source.html#l00127">biquad.h:128</a></div></div>
<div class="ttc" id="astructapf_1_1SosCoefficients_html"><div class="ttname"><a href="structapf_1_1SosCoefficients.html">apf::SosCoefficients</a></div><div class="ttdoc">Coefficients of digital recursive filter (second order section).</div><div class="ttdef"><b>Definition:</b> <a href="biquad_8h_source.html#l00052">biquad.h:53</a></div></div>
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