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<a href="gr__math_8h.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">/* -*- c++ -*- */</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment">/*</span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * Copyright 2003,2005,2008 Free Software Foundation, Inc.</span></div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * This file is part of GNU Radio</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"> * GNU Radio is free software; you can redistribute it and/or modify</span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> * it under the terms of the GNU General Public License as published by</span></div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="comment"> * the Free Software Foundation; either version 3, or (at your option)</span></div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="comment"> * any later version.</span></div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="comment"> * GNU Radio is distributed in the hope that it will be useful,</span></div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="comment"> * but WITHOUT ANY WARRANTY; without even the implied warranty of</span></div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="comment"> * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the</span></div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="comment"> * GNU General Public License for more details.</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"> * You should have received a copy of the GNU General Public License</span></div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="comment"> * along with GNU Radio; see the file COPYING. If not, write to</span></div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="comment"> * the Free Software Foundation, Inc., 51 Franklin Street,</span></div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span> <span class="comment"> * Boston, MA 02110-1301, USA.</span></div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span> </div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="comment">/*</span></div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="comment"> * mathematical odds and ends.</span></div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> </div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#ifndef _GR_MATH_H_</span></div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor"></span><span class="preprocessor">#define _GR_MATH_H_</span></div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#include <<a class="code" href="gr__core__api_8h.html">gr_core_api.h</a>></span></div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="preprocessor">#include <<a class="code" href="gr__complex_8h.html">gr_complex.h</a>></span></div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> </div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">bool</span></div>
<div class="line"><a name="l00034"></a><span class="lineno"><a class="code" href="gr__math_8h.html#ace69f572707e22fad277c8fe774de2bb"> 34</a></span> <a class="code" href="gr__math_8h.html#ace69f572707e22fad277c8fe774de2bb">gr_is_power_of_2</a>(<span class="keywordtype">long</span> x)</div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> {</div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  <span class="keywordflow">return</span> x != 0 && (x & (x-1)) == 0;</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"></span></div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="comment">/*!</span></div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span> <span class="comment"> * \brief Fast arc tangent using table lookup and linear interpolation</span></div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> <span class="comment"> * \ingroup misc</span></div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span> <span class="comment"> * \param y component of input vector</span></div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> <span class="comment"> * \param x component of input vector</span></div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span> <span class="comment"> * \returns float angle angle of vector (x, y) in radians</span></div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span> <span class="comment"> * This function calculates the angle of the vector (x,y) based on a</span></div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span> <span class="comment"> * table lookup and linear interpolation. The table uses a 256 point</span></div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span> <span class="comment"> * table covering -45 to +45 degrees and uses symetry to determine the</span></div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span> <span class="comment"> * final angle value in the range of -180 to 180 degrees. Note that</span></div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span> <span class="comment"> * this function uses the small angle approximation for values close</span></div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span> <span class="comment"> * to zero. This routine calculates the arc tangent with an average</span></div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span> <span class="comment"> * error of +/- 0.045 degrees.</span></div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span> <a class="code" href="gr__core__api_8h.html#a8b8937b0c61edd85ab57ce8203543248">GR_CORE_API</a> <span class="keywordtype">float</span> <a class="code" href="group__misc.html#gae8b14a00eda900ecce92981cce752734" title="Fast arc tangent using table lookup and linear interpolation.">gr_fast_atan2f</a>(<span class="keywordtype">float</span> y, <span class="keywordtype">float</span> x);</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span> </div>
<div class="line"><a name="l00057"></a><span class="lineno"><a class="code" href="gr__math_8h.html#ae51b150b5480dc16864d7a9c128d4e2b"> 57</a></span> <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">float</span> <a class="code" href="group__misc.html#gae8b14a00eda900ecce92981cce752734" title="Fast arc tangent using table lookup and linear interpolation.">gr_fast_atan2f</a>(<a class="code" href="gr__complex_8h.html#aec4bfe41433369afae9327f1b0bc9109">gr_complex</a> z)</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="keywordflow">return</span> <a class="code" href="group__misc.html#gae8b14a00eda900ecce92981cce752734" title="Fast arc tangent using table lookup and linear interpolation.">gr_fast_atan2f</a>(z.imag(), z.real());</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span> }</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span> </div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span> <span class="comment">/* This bounds x by +/- clip without a branch */</span></div>
<div class="line"><a name="l00063"></a><span class="lineno"><a class="code" href="gr__math_8h.html#ae41ea9e5b184df9e439a21d31350ab14"> 63</a></span> <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">float</span> <a class="code" href="gr__math_8h.html#ae41ea9e5b184df9e439a21d31350ab14">gr_branchless_clip</a>(<span class="keywordtype">float</span> x, <span class="keywordtype">float</span> clip)</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span> {</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <span class="keywordtype">float</span> x1 = fabsf(x+clip);</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  <span class="keywordtype">float</span> x2 = fabsf(x-clip);</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  x1 -= x2;</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <span class="keywordflow">return</span> 0.5*x1;</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span> }</div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span> </div>
<div class="line"><a name="l00071"></a><span class="lineno"><a class="code" href="gr__math_8h.html#a752a37cb09d7d71aebb5b05e4de828fd"> 71</a></span> <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">float</span> <a class="code" href="gr__math_8h.html#a752a37cb09d7d71aebb5b05e4de828fd">gr_clip</a>(<span class="keywordtype">float</span> x, <span class="keywordtype">float</span> clip)</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span> {</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <span class="keywordtype">float</span> y = x;</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  <span class="keywordflow">if</span>(x > clip)</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  y = clip;</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span>(x < -clip)</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  y = -clip;</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  <span class="keywordflow">return</span> y;</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="comment">// Slicer Functions</span></div>
<div class="line"><a name="l00082"></a><span class="lineno"><a class="code" href="gr__math_8h.html#a146f18980bcd8bcca5ec31a53fa7b18b"> 82</a></span> <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> <a class="code" href="gr__math_8h.html#a146f18980bcd8bcca5ec31a53fa7b18b">gr_binary_slicer</a>(<span class="keywordtype">float</span> x)</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span> {</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  <span class="keywordflow">if</span>(x >= 0)</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  <span class="keywordflow">return</span> 1;</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  <span class="keywordflow">return</span> 0;</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span> }</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span> </div>
<div class="line"><a name="l00090"></a><span class="lineno"><a class="code" href="gr__math_8h.html#a628599d27233b3c1327eafb7cfab9f3f"> 90</a></span> <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> <a class="code" href="gr__math_8h.html#a628599d27233b3c1327eafb7cfab9f3f">gr_quad_45deg_slicer</a>(<span class="keywordtype">float</span> r, <span class="keywordtype">float</span> i)</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>  <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> ret = 0;</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <span class="keywordflow">if</span>((r >= 0) && (i >= 0))</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  ret = 0;</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span>((r < 0) && (i >= 0))</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  ret = 1;</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span>((r < 0) && (i < 0))</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  ret = 2;</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  ret = 3;</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  <span class="keywordflow">return</span> ret;</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span> }</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span> </div>
<div class="line"><a name="l00104"></a><span class="lineno"><a class="code" href="gr__math_8h.html#a20720d374a5d5f77ba63e0e78b84ca5c"> 104</a></span> <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> <a class="code" href="gr__math_8h.html#a20720d374a5d5f77ba63e0e78b84ca5c">gr_quad_0deg_slicer</a>(<span class="keywordtype">float</span> r, <span class="keywordtype">float</span> i)</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span> {</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> ret = 0;</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <span class="keywordflow">if</span>(fabsf(r) > fabsf(i)) {</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  <span class="keywordflow">if</span>(r > 0)</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  ret = 0;</div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  ret = 2;</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  }</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  <span class="keywordflow">if</span>(i > 0)</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  ret = 1;</div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  ret = 3;</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  }</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span> </div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  <span class="keywordflow">return</span> ret;</div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span> }</div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span> </div>
<div class="line"><a name="l00123"></a><span class="lineno"><a class="code" href="gr__math_8h.html#a270ae32e0f8c3408f12fa552f144e6fa"> 123</a></span> <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> <a class="code" href="gr__math_8h.html#a628599d27233b3c1327eafb7cfab9f3f">gr_quad_45deg_slicer</a>(<a class="code" href="gr__complex_8h.html#aec4bfe41433369afae9327f1b0bc9109">gr_complex</a> x)</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span> {</div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  <span class="keywordflow">return</span> <a class="code" href="gr__math_8h.html#a628599d27233b3c1327eafb7cfab9f3f">gr_quad_45deg_slicer</a>(x.real(), x.imag());</div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span> }</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span> </div>
<div class="line"><a name="l00128"></a><span class="lineno"><a class="code" href="gr__math_8h.html#aac806dad801ca55a9203720754cf86e9"> 128</a></span> <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> <a class="code" href="gr__math_8h.html#a20720d374a5d5f77ba63e0e78b84ca5c">gr_quad_0deg_slicer</a>(<a class="code" href="gr__complex_8h.html#aec4bfe41433369afae9327f1b0bc9109">gr_complex</a> x)</div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span> {</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  <span class="keywordflow">return</span> <a class="code" href="gr__math_8h.html#a20720d374a5d5f77ba63e0e78b84ca5c">gr_quad_0deg_slicer</a>(x.real(), x.imag());</div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span> }</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> <span class="comment">// Branchless Slicer Functions</span></div>
<div class="line"><a name="l00134"></a><span class="lineno"><a class="code" href="gr__math_8h.html#a30b60181accc9a0f40aee29ec2c95d50"> 134</a></span> <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> <a class="code" href="gr__math_8h.html#a30b60181accc9a0f40aee29ec2c95d50">gr_branchless_binary_slicer</a>(<span class="keywordtype">float</span> x)</div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span> {</div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  <span class="keywordflow">return</span> (x >= 0);</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> </div>
<div class="line"><a name="l00139"></a><span class="lineno"><a class="code" href="gr__math_8h.html#a9164ae9b083d3690dbcf0f0074b0d8c2"> 139</a></span> <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> <a class="code" href="gr__math_8h.html#a9164ae9b083d3690dbcf0f0074b0d8c2">gr_branchless_quad_0deg_slicer</a>(<span class="keywordtype">float</span> r, <span class="keywordtype">float</span> i)</div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span> {</div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> ret = 0;</div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  ret = (fabsf(r) > fabsf(i)) * (((r < 0) << 0x1)); <span class="comment">// either 0 (00) or 2 (10)</span></div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  ret |= (fabsf(i) > fabsf(r)) * (((i < 0) << 0x1) | 0x1); <span class="comment">// either 1 (01) or 3 (11)</span></div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span> </div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  <span class="keywordflow">return</span> ret;</div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span> }</div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span> </div>
<div class="line"><a name="l00148"></a><span class="lineno"><a class="code" href="gr__math_8h.html#a2c99fd1f6662416c025bb4d3d95adf48"> 148</a></span> <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> <a class="code" href="gr__math_8h.html#a9164ae9b083d3690dbcf0f0074b0d8c2">gr_branchless_quad_0deg_slicer</a>(<a class="code" href="gr__complex_8h.html#aec4bfe41433369afae9327f1b0bc9109">gr_complex</a> x)</div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span> {</div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  <span class="keywordflow">return</span> <a class="code" href="gr__math_8h.html#a9164ae9b083d3690dbcf0f0074b0d8c2">gr_branchless_quad_0deg_slicer</a>(x.real(), x.imag());</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span> }</div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span> </div>
<div class="line"><a name="l00153"></a><span class="lineno"><a class="code" href="gr__math_8h.html#aa535abb2054c204787c36dcfc090abc6"> 153</a></span> <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> <a class="code" href="gr__math_8h.html#aa535abb2054c204787c36dcfc090abc6">gr_branchless_quad_45deg_slicer</a>(<span class="keywordtype">float</span> r, <span class="keywordtype">float</span> i)</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span> {</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  <span class="keywordtype">char</span> ret = (r <= 0);</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  ret |= ((i <= 0) << 1);</div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  <span class="keywordflow">return</span> (ret ^ ((ret & 0x2) >> 0x1));</div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span> }</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span> </div>
<div class="line"><a name="l00160"></a><span class="lineno"><a class="code" href="gr__math_8h.html#a568ec0c5ac906bc3310b74fc62a6dd7e"> 160</a></span> <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> <a class="code" href="gr__math_8h.html#aa535abb2054c204787c36dcfc090abc6">gr_branchless_quad_45deg_slicer</a>(<a class="code" href="gr__complex_8h.html#aec4bfe41433369afae9327f1b0bc9109">gr_complex</a> x)</div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span> {</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  <span class="keywordflow">return</span> <a class="code" href="gr__math_8h.html#aa535abb2054c204787c36dcfc090abc6">gr_branchless_quad_45deg_slicer</a>(x.real(), x.imag());</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="comment"></span></div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span> <span class="comment">/*!</span></div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span> <span class="comment"> * \param x any value</span></div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span> <span class="comment"> * \param pow2 must be a power of 2</span></div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span> <span class="comment"> * \returns \p x rounded down to a multiple of \p pow2.</span></div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span> <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">size_t</span></div>
<div class="line"><a name="l00171"></a><span class="lineno"><a class="code" href="gr__math_8h.html#a65081204f407632482da47b165b942e6"> 171</a></span> <a class="code" href="gr__math_8h.html#a65081204f407632482da47b165b942e6">gr_p2_round_down</a>(<span class="keywordtype">size_t</span> x, <span class="keywordtype">size_t</span> pow2)</div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span> {</div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  <span class="keywordflow">return</span> x & -pow2;</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> <span class="comment"></span></div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span> <span class="comment">/*!</span></div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span> <span class="comment"> * \param x any value</span></div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span> <span class="comment"> * \param pow2 must be a power of 2</span></div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span> <span class="comment"> * \returns \p x rounded up to a multiple of \p pow2.</span></div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span> <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">size_t</span></div>
<div class="line"><a name="l00182"></a><span class="lineno"><a class="code" href="gr__math_8h.html#a8acadaea988a25fc1601d9b8b5e8a951"> 182</a></span> <a class="code" href="gr__math_8h.html#a8acadaea988a25fc1601d9b8b5e8a951">gr_p2_round_up</a>(<span class="keywordtype">size_t</span> x, <span class="keywordtype">size_t</span> pow2)</div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span> {</div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  <span class="keywordflow">return</span> <a class="code" href="gr__math_8h.html#a65081204f407632482da47b165b942e6">gr_p2_round_down</a>(x + pow2 - 1, pow2);</div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span> }</div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span> <span class="comment"></span></div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span> <span class="comment">/*!</span></div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span> <span class="comment"> * \param x any value</span></div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span> <span class="comment"> * \param pow2 must be a power of 2</span></div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span> <span class="comment"> * \returns \p x modulo \p pow2.</span></div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span> <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">size_t</span></div>
<div class="line"><a name="l00193"></a><span class="lineno"><a class="code" href="gr__math_8h.html#aba9d6b1ba2198fde6ffe2a14620df26e"> 193</a></span> <a class="code" href="gr__math_8h.html#aba9d6b1ba2198fde6ffe2a14620df26e">gr_p2_modulo</a>(<span class="keywordtype">size_t</span> x, <span class="keywordtype">size_t</span> pow2)</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="keywordflow">return</span> x & (pow2 - 1);</div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span> }</div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span> <span class="comment"></span></div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span> <span class="comment">/*!</span></div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span> <span class="comment"> * \param x any value</span></div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span> <span class="comment"> * \param pow2 must be a power of 2</span></div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span> <span class="comment"> * \returns \p pow2 - (\p x modulo \p pow2).</span></div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span> <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">size_t</span></div>
<div class="line"><a name="l00204"></a><span class="lineno"><a class="code" href="gr__math_8h.html#a0a25383360574c5f3e287063dacc8023"> 204</a></span> <a class="code" href="gr__math_8h.html#a0a25383360574c5f3e287063dacc8023">gr_p2_modulo_neg</a>(<span class="keywordtype">size_t</span> x, <span class="keywordtype">size_t</span> pow2)</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>  <span class="keywordflow">return</span> pow2 - <a class="code" href="gr__math_8h.html#aba9d6b1ba2198fde6ffe2a14620df26e">gr_p2_modulo</a>(x, pow2);</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="preprocessor">#endif </span><span class="comment">/* _GR_MATH_H_ */</span><span class="preprocessor"></span></div>
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