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<li class="navelem"><a class="el" href="dir_127e6aa213d41105176fe0c3bbb2560c.html">LEAF</a></li><li class="navelem"><a class="el" href="dir_2638202b9749e6ce2c919e410b7e2f43.html">Inc</a></li> </ul>
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<div class="title">leaf-math.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">/*==============================================================================</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"> leaf-math.h</span></div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> Created: 22 Jan 2017 7:02:56pm</span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> Author: Michael R Mulshine</span></div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> </span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> ==============================================================================*/</span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span>  </div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="preprocessor">#ifndef LEAF_MATH_H_INCLUDED</span></div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="preprocessor">#define LEAF_MATH_H_INCLUDED</span></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="preprocessor">#ifdef __cplusplus</span></div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="keyword">extern</span> <span class="stringliteral">"C"</span> {</div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span>  </div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="preprocessor">#include "leaf-global.h"</span></div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="preprocessor">#include "math.h"</span></div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="preprocessor">#include "stdint.h"</span></div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="preprocessor">#include "stdlib.h"</span></div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span> <span class="preprocessor">#include "limits.h"</span></div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span>  </div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span>  <span class="comment">//==============================================================================</span></div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span>  </div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>  <span class="comment">//==============================================================================</span></div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>  </div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  <span class="comment">// Allows for bitwise operations on floats</span></div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  <span class="keyword">union </span>unholy_t { <span class="comment">/* a union between a float and an integer */</span></div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  <span class="keywordtype">float</span> f;</div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  <span class="keywordtype">int</span> i;</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>  </div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="preprocessor">#define SQRT8 2.82842712475f</span></div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="preprocessor">#define LEAF_SQRT2 1.41421356237f</span></div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="preprocessor">#define WSCALE 1.30612244898f</span></div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span> <span class="preprocessor">#define PI (3.14159265358979f)</span></div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> <span class="preprocessor">#define TWO_PI (6.28318530717958f)</span></div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span> <span class="preprocessor">#define HALF_PI (1.570796326794897f)</span></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="preprocessor">#define VSF 1.0e-38f</span></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> <span class="preprocessor">#define MAX_DELAY 8192</span></div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span> <span class="preprocessor">#define INV_128 0.0078125f</span></div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  </div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span> <span class="preprocessor">#define INV_20 0.05f</span></div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span> <span class="preprocessor">#define INV_40 0.025f</span></div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span> <span class="preprocessor">#define INV_80 0.0125f</span></div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span> <span class="preprocessor">#define INV_160 0.00625f</span></div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span> <span class="preprocessor">#define INV_320 0.003125f</span></div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span> <span class="preprocessor">#define INV_640 0.0015625f</span></div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span> <span class="preprocessor">#define INV_1280 0.00078125f</span></div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span> <span class="preprocessor">#define INV_2560 0.000390625f</span></div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span> <span class="preprocessor">#define INV_5120 0.0001953125f</span></div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span> <span class="preprocessor">#define INV_10240 0.00009765625f</span></div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span> <span class="preprocessor">#define INV_20480 0.000048828125f</span></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="preprocessor">#define INV_TWELVE 0.0833333333f</span></div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span> <span class="preprocessor">#define INV_440 0.0022727273f</span></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="preprocessor">#define LOG2 0.3010299957f</span></div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span> <span class="preprocessor">#define INV_LOG2 3.321928095f</span></div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  </div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span> <span class="preprocessor">#define SOS_M 343.0f</span></div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span> <span class="preprocessor">#define TWO_TO_5 32.0f</span></div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span> <span class="preprocessor">#define INV_TWO_TO_5 0.03125f</span></div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span> <span class="preprocessor">#define TWO_TO_7 128.f</span></div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span> <span class="preprocessor">#define INV_TWO_TO_7 0.0078125f</span></div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span> <span class="preprocessor">#define TWO_TO_8 256.f</span></div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span> <span class="preprocessor">#define INV_TWO_TO_8 0.00390625f</span></div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span> <span class="preprocessor">#define TWO_TO_9 512.f</span></div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span> <span class="preprocessor">#define INV_TWO_TO_9 0.001953125f</span></div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span> <span class="preprocessor">#define TWO_TO_10 1024.f</span></div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span> <span class="preprocessor">#define INV_TWO_TO_10 0.0009765625f</span></div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span> <span class="preprocessor">#define TWO_TO_11 2048.f</span></div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span> <span class="preprocessor">#define INV_TWO_TO_11 0.00048828125f</span></div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span> <span class="preprocessor">#define TWO_TO_12 4096.f</span></div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span> <span class="preprocessor">#define INV_TWO_TO_12 0.00024414062f</span></div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span> <span class="preprocessor">#define TWO_TO_15 32768.f</span></div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span> <span class="preprocessor">#define TWO_TO_16 65536.f</span></div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span> <span class="preprocessor">#define INV_TWO_TO_15 0.00003051757f</span></div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span> <span class="preprocessor">#define INV_TWO_TO_16 0.00001525878f</span></div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span> <span class="preprocessor">#define TWO_TO_16_MINUS_ONE 65535.0f</span></div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span> <span class="preprocessor">#define TWO_TO_23 8388608.0f</span></div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span> <span class="preprocessor">#define INV_TWO_TO_23 0.00000011920929f</span></div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span> <span class="preprocessor">#define TWO_TO_31 2147483648.0f</span></div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span> <span class="preprocessor">#define INV_TWO_TO_31 0.000000000465661f</span></div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span> <span class="preprocessor">#define TWO_TO_32 4294967296.0f</span></div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span> <span class="preprocessor">#define INV_TWO_TO_32 0.000000000232831f</span></div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  </div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span> <span class="preprocessor">#define ONE_OVER_SQRT2 0.707106781186548f</span></div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  </div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span> <span class="preprocessor">#define LOGTEN 2.302585092994</span></div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  <span class="keywordtype">float</span> log2f_approx(<span class="keywordtype">float</span> X);</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <span class="keywordtype">float</span> log2f_approx2(<span class="keywordtype">float</span> x);</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  </div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  <span class="comment">// Jones shaper</span></div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  <span class="keywordtype">float</span> LEAF_shaper (<span class="keywordtype">float</span> input, <span class="keywordtype">float</span> m_drive);</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  <span class="keywordtype">float</span> LEAF_reedTable (<span class="keywordtype">float</span> input, <span class="keywordtype">float</span> offset, <span class="keywordtype">float</span> slope);</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  </div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  <span class="keywordtype">float</span> LEAF_reduct (<span class="keywordtype">float</span> input, <span class="keywordtype">float</span> ratio);</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  <span class="keywordtype">float</span> LEAF_round (<span class="keywordtype">float</span> input, <span class="keywordtype">float</span> rnd);</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <span class="keywordtype">float</span> LEAF_bitwise_xor(<span class="keywordtype">float</span> input, uint32_t op);</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  </div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  <span class="keywordtype">float</span> LEAF_reduct (<span class="keywordtype">float</span> input, <span class="keywordtype">float</span> ratio);</div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  <span class="keywordtype">float</span> LEAF_round (<span class="keywordtype">float</span> input, <span class="keywordtype">float</span> rnd);</div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  <span class="keywordtype">float</span> LEAF_bitwise_xor(<span class="keywordtype">float</span> input, uint32_t op);</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="keywordtype">float</span> LEAF_clip (<span class="keywordtype">float</span> min, <span class="keywordtype">float</span> val, <span class="keywordtype">float</span> max);</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  <span class="keywordtype">int</span> LEAF_clipInt (<span class="keywordtype">int</span> min, <span class="keywordtype">int</span> val, <span class="keywordtype">int</span> max);</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  <span class="keywordtype">float</span> LEAF_softClip (<span class="keywordtype">float</span> val, <span class="keywordtype">float</span> thresh);</div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  <span class="keywordtype">int</span> LEAF_isPrime (uint64_t number );</div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  </div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  <span class="keywordtype">float</span> LEAF_midiToFrequency (<span class="keywordtype">float</span> f);</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  <span class="keywordtype">float</span> LEAF_frequencyToMidi(<span class="keywordtype">float</span> f);</div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  </div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  <span class="keywordtype">void</span> LEAF_generate_sine (<span class="keywordtype">float</span>* buffer, <span class="keywordtype">int</span> size);</div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  <span class="keywordtype">void</span> LEAF_generate_sawtooth (<span class="keywordtype">float</span>* buffer, <span class="keywordtype">float</span> basefreq, <span class="keywordtype">int</span> size, <a class="code" href="struct_l_e_a_f.html">LEAF</a>* <span class="keyword">const</span> leaf);</div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  <span class="keywordtype">void</span> LEAF_generate_triangle (<span class="keywordtype">float</span>* buffer, <span class="keywordtype">float</span> basefreq, <span class="keywordtype">int</span> size, <a class="code" href="struct_l_e_a_f.html">LEAF</a>* <span class="keyword">const</span> leaf);</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  <span class="keywordtype">void</span> LEAF_generate_square (<span class="keywordtype">float</span>* buffer, <span class="keywordtype">float</span> basefreq, <span class="keywordtype">int</span> size, <a class="code" href="struct_l_e_a_f.html">LEAF</a>* <span class="keyword">const</span> leaf);</div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  </div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  <span class="comment">// dope af</span></div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  <span class="keywordtype">float</span> LEAF_chebyshevT(<span class="keywordtype">float</span> in, <span class="keywordtype">int</span> n);</div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  <span class="keywordtype">float</span> LEAF_CompoundChebyshevT(<span class="keywordtype">float</span> in, <span class="keywordtype">int</span> n, <span class="keywordtype">float</span>* amps);</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="comment">// Hermite interpolation</span></div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  <span class="keywordtype">float</span> LEAF_interpolate_hermite (<span class="keywordtype">float</span> A, <span class="keywordtype">float</span> B, <span class="keywordtype">float</span> C, <span class="keywordtype">float</span> D, <span class="keywordtype">float</span> t);</div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  <span class="keywordtype">float</span> LEAF_interpolate_hermite_x(<span class="keywordtype">float</span> yy0, <span class="keywordtype">float</span> yy1, <span class="keywordtype">float</span> yy2, <span class="keywordtype">float</span> yy3, <span class="keywordtype">float</span> xx);</div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  <span class="keywordtype">float</span> LEAF_interpolation_linear (<span class="keywordtype">float</span> A, <span class="keywordtype">float</span> B, <span class="keywordtype">float</span> t);</div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  </div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  <span class="keywordtype">float</span> interpolate3max(<span class="keywordtype">float</span> *buf, <span class="keyword">const</span> <span class="keywordtype">int</span> peakindex);</div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  <span class="keywordtype">float</span> interpolate3phase(<span class="keywordtype">float</span> *buf, <span class="keyword">const</span> <span class="keywordtype">int</span> peakindex);</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"> 139</span>  <span class="keywordtype">float</span> fastcosf(<span class="keywordtype">float</span> fAngle);</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">float</span> fastercosf(<span class="keywordtype">float</span> fAngle);</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="keywordtype">float</span> fasttanf (<span class="keywordtype">float</span> fAngle);</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>  </div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  <span class="keywordtype">float</span> fastertanf(<span class="keywordtype">float</span> fAngle);</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>  </div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  <span class="comment">// alternative implementation for abs()</span></div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  <span class="comment">// REQUIRES: 32 bit integers</span></div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  <span class="keywordtype">int</span> fastabs_int(<span class="keywordtype">int</span> in);</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="comment">// alternative implementation for abs()</span></div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  <span class="comment">// REQUIRES: 32 bit floats</span></div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  <span class="keywordtype">float</span> fastabsf(<span class="keywordtype">float</span> f);</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  </div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  <span class="keywordtype">float</span> fastexp2f(<span class="keywordtype">float</span> f);</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>  <span class="keywordtype">float</span> fastPowf(<span class="keywordtype">float</span> a, <span class="keywordtype">float</span> b) ;</div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  <span class="keywordtype">double</span> fastPow(<span class="keywordtype">double</span> a, <span class="keywordtype">double</span> b);</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>  </div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  <span class="keywordtype">void</span> LEAF_crossfade(<span class="keywordtype">float</span> fade, <span class="keywordtype">float</span>* volumes);</div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  </div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  <span class="keywordtype">float</span> LEAF_tanh(<span class="keywordtype">float</span> x);</div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  <span class="keywordtype">float</span> LEAF_tanhNoClip(<span class="keywordtype">float</span> x);</div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  <span class="keywordtype">float</span> fast_tanh(<span class="keywordtype">float</span> x);</div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  <span class="keywordtype">float</span> fast_tanh2(<span class="keywordtype">float</span> x);</div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  <span class="keywordtype">float</span> fast_tanh3(<span class="keywordtype">float</span> x);</div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  <span class="keywordtype">float</span> fast_tanh4(<span class="keywordtype">float</span> x);</div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  </div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  <span class="comment">//0.001 base gives a good curve that goes from 1 to near zero</span></div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  <span class="comment">//1000 gives a good curve from -1.0 to 0.0</span></div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  <span class="keywordtype">void</span> LEAF_generate_exp(<span class="keywordtype">float</span>* buffer, <span class="keywordtype">float</span> base, <span class="keywordtype">float</span> start, <span class="keywordtype">float</span> end, <span class="keywordtype">float</span> offset, <span class="keywordtype">int</span> size);</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>  </div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  <span class="keywordtype">void</span> LEAF_generate_atodb(<span class="keywordtype">float</span>* buffer, <span class="keywordtype">int</span> size);</div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  <span class="keywordtype">void</span> LEAF_generate_atodbPositiveClipped(<span class="keywordtype">float</span>* buffer, <span class="keywordtype">float</span> lowerThreshold, <span class="keywordtype">float</span> range, <span class="keywordtype">int</span> size);</div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  </div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  </div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  <span class="keywordtype">float</span> LEAF_poly_blep(<span class="keywordtype">float</span> t, <span class="keywordtype">float</span> dt);</div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  <span class="keywordtype">float</span> LEAF_midiToFrequency(<span class="keywordtype">float</span> f);</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>  </div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  <span class="keywordtype">float</span> fast_mtof(<span class="keywordtype">float</span> f);</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>  <span class="keywordtype">double</span> fastexp(<span class="keywordtype">double</span> x);</div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  </div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  <span class="keywordtype">float</span> fastexpf(<span class="keywordtype">float</span> x);</div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  </div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  <span class="keywordtype">double</span> fasterexp(<span class="keywordtype">double</span> x);</div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  </div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  <span class="keywordtype">float</span> fasterexpf(<span class="keywordtype">float</span> x);</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="keywordtype">float</span> fastsqrtf(<span class="keywordtype">float</span> x);</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="keywordtype">float</span> mtof(<span class="keywordtype">float</span> f);</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>  <span class="keywordtype">float</span> fast_mtof(<span class="keywordtype">float</span> f);</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>  <span class="keywordtype">float</span> faster_mtof(<span class="keywordtype">float</span> f);</div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  </div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>  <span class="keywordtype">float</span> ftom(<span class="keywordtype">float</span> f);</div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  </div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  <span class="keywordtype">float</span> powtodb(<span class="keywordtype">float</span> f);</div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  </div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  <span class="keywordtype">float</span> rmstodb(<span class="keywordtype">float</span> f);</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="keywordtype">float</span> dbtopow(<span class="keywordtype">float</span> f);</div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  </div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  <span class="keywordtype">float</span> dbtorms(<span class="keywordtype">float</span> f);</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>  <span class="keywordtype">float</span> atodb(<span class="keywordtype">float</span> a);</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>  <span class="keywordtype">float</span> dbtoa(<span class="keywordtype">float</span> db);</div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  </div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>  <span class="keywordtype">float</span> fastdbtoa(<span class="keywordtype">float</span> db);</div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>  </div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  <span class="keywordtype">float</span> fasterdbtoa(<span class="keywordtype">float</span> db);</div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  </div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  <span class="keywordtype">float</span> maximum (<span class="keywordtype">float</span> num1, <span class="keywordtype">float</span> num2);</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="keywordtype">float</span> minimum (<span class="keywordtype">float</span> num1, <span class="keywordtype">float</span> num2);</div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  </div>
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>  <span class="comment">// built in compiler popcount functions should be faster but we want this to be portable</span></div>
<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>  <span class="comment">// could try to add some define that call the correct function depending on compiler</span></div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>  <span class="comment">// or let the user pointer popcount() to whatever they want</span></div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  <span class="comment">// something to look into...</span></div>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  <span class="keywordtype">int</span> popcount(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> x);</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="keywordtype">float</span> median3f(<span class="keywordtype">float</span> a, <span class="keywordtype">float</span> b, <span class="keywordtype">float</span> c);</div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  </div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  <span class="keywordtype">void</span> place_step_dd(<span class="keywordtype">float</span> *buffer, <span class="keywordtype">int</span> index, <span class="keywordtype">float</span> phase, <span class="keywordtype">float</span> w, <span class="keywordtype">float</span> scale);</div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  </div>
<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>  <span class="keywordtype">void</span> place_slope_dd(<span class="keywordtype">float</span> *buffer, <span class="keywordtype">int</span> index, <span class="keywordtype">float</span> phase, <span class="keywordtype">float</span> w, <span class="keywordtype">float</span> slope_delta);</div>
<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>  </div>
<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  <span class="comment">//==============================================================================</span></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="preprocessor">#ifdef __cplusplus</span></div>
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span> }</div>
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>  </div>
<div class="line"><a name="l00245"></a><span class="lineno"> 245</span> <span class="preprocessor">#endif // LEAF_MATH_H_INCLUDED</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="comment">//==============================================================================</span></div>
<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  </div>
</div><!-- fragment --></div><!-- contents -->
<div class="ttc" id="astruct_l_e_a_f_html"><div class="ttname"><a href="struct_l_e_a_f.html">LEAF</a></div><div class="ttdoc">Struct for an instance of LEAF.</div><div class="ttdef"><b>Definition:</b> leaf-global.h:31</div></div>
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