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 <span id="projectnumber">3.1</span>
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<div class="title">lib8tion.h</div> </div>
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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="preprocessor">#ifndef __INC_LIB8TION_H</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="preprocessor">#define __INC_LIB8TION_H</span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> </div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="preprocessor">#include "<a class="code" href="_fast_l_e_d_8h.html">FastLED.h</a>"</span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> </div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="preprocessor">#ifndef __INC_LED_SYSDEFS_H</span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="preprocessor">#error WTH? led_sysdefs needs to be included first</span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span> </div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> FASTLED_NAMESPACE_BEGIN</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="comment">/*</span></div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="comment"></span></div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="comment"> Fast, efficient 8-bit math functions specifically</span></div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="comment"> designed for high-performance LED programming.</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"> Because of the AVR(Arduino) and ARM assembly language</span></div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="comment"> implementations provided, using these functions often</span></div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="comment"> results in smaller and faster code than the equivalent</span></div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span> <span class="comment"> program using plain "C" arithmetic and logic.</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> <span class="comment"></span></div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="comment"> Included are:</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> <span class="comment"></span></div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="comment"> - Saturating unsigned 8-bit add and subtract.</span></div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="comment"> Instead of wrapping around if an overflow occurs,</span></div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="comment"> these routines just 'clamp' the output at a maxumum</span></div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="comment"> of 255, or a minimum of 0. Useful for adding pixel</span></div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="comment"> values. E.g., qadd8( 200, 100) = 255.</span></div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="comment"></span></div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="comment"> qadd8( i, j) == MIN( (i + j), 0xFF )</span></div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="comment"> qsub8( i, j) == MAX( (i - j), 0 )</span></div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="comment"></span></div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="comment"> - Saturating signed 8-bit ("7-bit") add.</span></div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="comment"> qadd7( i, j) == MIN( (i + j), 0x7F)</span></div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="comment"></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"> - Scaling (down) of unsigned 8- and 16- bit values.</span></div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span> <span class="comment"> Scaledown value is specified in 1/256ths.</span></div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> <span class="comment"> scale8( i, sc) == (i * sc) / 256</span></div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span> <span class="comment"> scale16by8( i, sc) == (i * sc) / 256</span></div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span> <span class="comment"></span></div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> <span class="comment"> Example: scaling a 0-255 value down into a</span></div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span> <span class="comment"> range from 0-99:</span></div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span> <span class="comment"> downscaled = scale8( originalnumber, 100);</span></div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span> <span class="comment"></span></div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span> <span class="comment"> A special version of scale8 is provided for scaling</span></div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span> <span class="comment"> LED brightness values, to make sure that they don't</span></div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span> <span class="comment"> accidentally scale down to total black at low</span></div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span> <span class="comment"> dimming levels, since that would look wrong:</span></div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span> <span class="comment"> scale8_video( i, sc) = ((i * sc) / 256) +? 1</span></div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span> <span class="comment"></span></div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span> <span class="comment"> Example: reducing an LED brightness by a</span></div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span> <span class="comment"> dimming factor:</span></div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span> <span class="comment"> new_bright = scale8_video( orig_bright, dimming);</span></div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span> <span class="comment"></span></div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span> <span class="comment"></span></div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span> <span class="comment"> - Fast 8- and 16- bit unsigned random numbers.</span></div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span> <span class="comment"> Significantly faster than Arduino random(), but</span></div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span> <span class="comment"> also somewhat less random. You can add entropy.</span></div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span> <span class="comment"> random8() == random from 0..255</span></div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span> <span class="comment"> random8( n) == random from 0..(N-1)</span></div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span> <span class="comment"> random8( n, m) == random from N..(M-1)</span></div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span> <span class="comment"></span></div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span> <span class="comment"> random16() == random from 0..65535</span></div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span> <span class="comment"> random16( n) == random from 0..(N-1)</span></div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span> <span class="comment"> random16( n, m) == random from N..(M-1)</span></div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span> <span class="comment"></span></div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span> <span class="comment"> random16_set_seed( k) == seed = k</span></div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span> <span class="comment"> random16_add_entropy( k) == seed += k</span></div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span> <span class="comment"></span></div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span> <span class="comment"></span></div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span> <span class="comment"> - Absolute value of a signed 8-bit value.</span></div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span> <span class="comment"> abs8( i) == abs( i)</span></div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span> <span class="comment"></span></div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span> <span class="comment"></span></div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span> <span class="comment"> - 8-bit math operations which return 8-bit values.</span></div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span> <span class="comment"> These are provided mostly for completeness,</span></div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span> <span class="comment"> not particularly for performance.</span></div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span> <span class="comment"> mul8( i, j) == (i * j) & 0xFF</span></div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span> <span class="comment"> add8( i, j) == (i + j) & 0xFF</span></div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span> <span class="comment"> sub8( i, j) == (i - j) & 0xFF</span></div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span> <span class="comment"></span></div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span> <span class="comment"></span></div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span> <span class="comment"> - Fast 16-bit approximations of sin and cos.</span></div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span> <span class="comment"> Input angle is a uint16_t from 0-65535.</span></div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span> <span class="comment"> Output is a signed int16_t from -32767 to 32767.</span></div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span> <span class="comment"> sin16( x) == sin( (x/32768.0) * pi) * 32767</span></div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span> <span class="comment"> cos16( x) == cos( (x/32768.0) * pi) * 32767</span></div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span> <span class="comment"> Accurate to more than 99% in all cases.</span></div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span> <span class="comment"></span></div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span> <span class="comment"> - Fast 8-bit approximations of sin and cos.</span></div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span> <span class="comment"> Input angle is a uint8_t from 0-255.</span></div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span> <span class="comment"> Output is an UNsigned uint8_t from 0 to 255.</span></div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span> <span class="comment"> sin8( x) == (sin( (x/128.0) * pi) * 128) + 128</span></div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span> <span class="comment"> cos8( x) == (cos( (x/128.0) * pi) * 128) + 128</span></div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span> <span class="comment"> Accurate to within about 2%.</span></div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span> <span class="comment"></span></div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span> <span class="comment"></span></div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span> <span class="comment"> - Fast 8-bit "easing in/out" function.</span></div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span> <span class="comment"> ease8InOutCubic(x) == 3(x^i) - 2(x^3)</span></div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span> <span class="comment"> ease8InOutApprox(x) ==</span></div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span> <span class="comment"> faster, rougher, approximation of cubic easing</span></div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span> <span class="comment"> ease8InOutQuad(x) == quadratic (vs cubic) easing</span></div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span> <span class="comment"></span></div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span> <span class="comment"> - Cubic, Quadratic, and Triangle wave functions.</span></div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span> <span class="comment"> Input is a uint8_t representing phase withing the wave,</span></div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span> <span class="comment"> similar to how sin8 takes an angle 'theta'.</span></div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span> <span class="comment"> Output is a uint8_t representing the amplitude of</span></div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span> <span class="comment"> the wave at that point.</span></div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span> <span class="comment"> cubicwave8( x)</span></div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span> <span class="comment"> quadwave8( x)</span></div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span> <span class="comment"> triwave8( x)</span></div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span> <span class="comment"></span></div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span> <span class="comment"> - Square root for 16-bit integers. About three times</span></div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span> <span class="comment"> faster and five times smaller than Arduino's built-in</span></div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span> <span class="comment"> generic 32-bit sqrt routine.</span></div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span> <span class="comment"> sqrt16( uint16_t x ) == sqrt( x)</span></div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span> <span class="comment"></span></div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span> <span class="comment"> - Dimming and brightening functions for 8-bit</span></div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span> <span class="comment"> light values.</span></div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span> <span class="comment"> dim8_video( x) == scale8_video( x, x)</span></div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span> <span class="comment"> dim8_raw( x) == scale8( x, x)</span></div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span> <span class="comment"> dim8_lin( x) == (x<128) ? ((x+1)/2) : scale8(x,x)</span></div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span> <span class="comment"> brighten8_video( x) == 255 - dim8_video( 255 - x)</span></div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span> <span class="comment"> brighten8_raw( x) == 255 - dim8_raw( 255 - x)</span></div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span> <span class="comment"> brighten8_lin( x) == 255 - dim8_lin( 255 - x)</span></div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span> <span class="comment"> The dimming functions in particular are suitable</span></div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span> <span class="comment"> for making LED light output appear more 'linear'.</span></div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span> <span class="comment"></span></div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span> <span class="comment"></span></div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span> <span class="comment"> - Linear interpolation between two values, with the</span></div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span> <span class="comment"> fraction between them expressed as an 8- or 16-bit</span></div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span> <span class="comment"> fixed point fraction (fract8 or fract16).</span></div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span> <span class="comment"> lerp8by8( fromU8, toU8, fract8 )</span></div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span> <span class="comment"> lerp16by8( fromU16, toU16, fract8 )</span></div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span> <span class="comment"> lerp15by8( fromS16, toS16, fract8 )</span></div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span> <span class="comment"> == from + (( to - from ) * fract8) / 256)</span></div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span> <span class="comment"> lerp16by16( fromU16, toU16, fract16 )</span></div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span> <span class="comment"> == from + (( to - from ) * fract16) / 65536)</span></div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span> <span class="comment"> map8( in, rangeStart, rangeEnd)</span></div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span> <span class="comment"> == map( in, 0, 255, rangeStart, rangeEnd);</span></div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span> <span class="comment"></span></div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span> <span class="comment"> - Optimized memmove, memcpy, and memset, that are</span></div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span> <span class="comment"> faster than standard avr-libc 1.8.</span></div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span> <span class="comment"> memmove8( dest, src, bytecount)</span></div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span> <span class="comment"> memcpy8( dest, src, bytecount)</span></div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span> <span class="comment"> memset8( buf, value, bytecount)</span></div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span> <span class="comment"></span></div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span> <span class="comment"> - Beat generators which return sine or sawtooth</span></div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span> <span class="comment"> waves in a specified number of Beats Per Minute.</span></div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span> <span class="comment"> Sine wave beat generators can specify a low and</span></div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span> <span class="comment"> high range for the output. Sawtooth wave beat</span></div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span> <span class="comment"> generators always range 0-255 or 0-65535.</span></div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span> <span class="comment"> beatsin8( BPM, low8, high8)</span></div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span> <span class="comment"> = (sine(beatphase) * (high8-low8)) + low8</span></div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span> <span class="comment"> beatsin16( BPM, low16, high16)</span></div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span> <span class="comment"> = (sine(beatphase) * (high16-low16)) + low16</span></div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span> <span class="comment"> beatsin88( BPM88, low16, high16)</span></div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span> <span class="comment"> = (sine(beatphase) * (high16-low16)) + low16</span></div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span> <span class="comment"> beat8( BPM) = 8-bit repeating sawtooth wave</span></div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span> <span class="comment"> beat16( BPM) = 16-bit repeating sawtooth wave</span></div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span> <span class="comment"> beat88( BPM88) = 16-bit repeating sawtooth wave</span></div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span> <span class="comment"> BPM is beats per minute in either simple form</span></div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span> <span class="comment"> e.g. 120, or Q8.8 fixed-point form.</span></div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span> <span class="comment"> BPM88 is beats per minute in ONLY Q8.8 fixed-point</span></div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span> <span class="comment"> form.</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="comment">Lib8tion is pronounced like 'libation': lie-BAY-shun</span></div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span> <span class="comment"></span></div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span> <span class="comment">*/</span></div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span> </div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span> </div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span> </div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span> <span class="preprocessor">#include <stdint.h></span></div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span> </div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span> <span class="preprocessor">#define LIB8STATIC __attribute__ ((unused)) static inline</span></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> <span class="preprocessor">#if !defined(__AVR__)</span></div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span> <span class="preprocessor">#include <string.h></span></div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span> <span class="comment">// for memmove, memcpy, and memset if not defined here</span></div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span> <span class="preprocessor">#endif</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="preprocessor">#if defined(__AVR_ATmega32U2__) || defined(__AVR_ATmega16U2__) || defined(__AVR_ATmega8U2__) || defined(__AVR_AT90USB162__) || defined(__AVR_ATtiny24__) || defined(__AVR_ATtiny44__) || defined(__AVR_ATtiny84__) || defined(__AVR_ATtiny25__) || defined(__AVR_ATtiny45__) || defined(__AVR_ATtiny85__) || defined(__AVR_ATtiny167__) || defined(__AVR_ATtiny87__)</span></div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span> <span class="preprocessor">#define LIB8_ATTINY 1</span></div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span> <span class="preprocessor">#endif</span></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> </div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span> <span class="preprocessor">#if defined(__arm__)</span></div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span> </div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span> <span class="preprocessor">#if defined(FASTLED_TEENSY3)</span></div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span> <span class="comment">// Can use Cortex M4 DSP instructions</span></div>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span> <span class="preprocessor">#define QADD8_C 0</span></div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span> <span class="preprocessor">#define QADD7_C 0</span></div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span> <span class="preprocessor">#define QADD8_ARM_DSP_ASM 1</span></div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span> <span class="preprocessor">#define QADD7_ARM_DSP_ASM 1</span></div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span> <span class="preprocessor">#else</span></div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span> <span class="comment">// Generic ARM</span></div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span> <span class="preprocessor">#define QADD8_C 1</span></div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span> <span class="preprocessor">#define QADD7_C 1</span></div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span> </div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span> <span class="preprocessor">#define QSUB8_C 1</span></div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span> <span class="preprocessor">#define SCALE8_C 1</span></div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span> <span class="preprocessor">#define SCALE16BY8_C 1</span></div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span> <span class="preprocessor">#define SCALE16_C 1</span></div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span> <span class="preprocessor">#define ABS8_C 1</span></div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span> <span class="preprocessor">#define MUL8_C 1</span></div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span> <span class="preprocessor">#define QMUL8_C 1</span></div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span> <span class="preprocessor">#define ADD8_C 1</span></div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span> <span class="preprocessor">#define SUB8_C 1</span></div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span> <span class="preprocessor">#define EASE8_C 1</span></div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span> <span class="preprocessor">#define AVG8_C 1</span></div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span> <span class="preprocessor">#define AVG7_C 1</span></div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span> <span class="preprocessor">#define AVG16_C 1</span></div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span> <span class="preprocessor">#define AVG15_C 1</span></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> </div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span> <span class="preprocessor">#elif defined(__AVR__)</span></div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span> </div>
<div class="line"><a name="l00222"></a><span class="lineno"> 222</span> <span class="comment">// AVR ATmega and friends Arduino</span></div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span> </div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span> <span class="preprocessor">#define QADD8_C 0</span></div>
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span> <span class="preprocessor">#define QADD7_C 0</span></div>
<div class="line"><a name="l00226"></a><span class="lineno"> 226</span> <span class="preprocessor">#define QSUB8_C 0</span></div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span> <span class="preprocessor">#define ABS8_C 0</span></div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span> <span class="preprocessor">#define ADD8_C 0</span></div>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span> <span class="preprocessor">#define SUB8_C 0</span></div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span> <span class="preprocessor">#define AVG8_C 0</span></div>
<div class="line"><a name="l00231"></a><span class="lineno"> 231</span> <span class="preprocessor">#define AVG7_C 0</span></div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span> <span class="preprocessor">#define AVG16_C 0</span></div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span> <span class="preprocessor">#define AVG15_C 0</span></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="preprocessor">#define QADD8_AVRASM 1</span></div>
<div class="line"><a name="l00236"></a><span class="lineno"> 236</span> <span class="preprocessor">#define QADD7_AVRASM 1</span></div>
<div class="line"><a name="l00237"></a><span class="lineno"> 237</span> <span class="preprocessor">#define QSUB8_AVRASM 1</span></div>
<div class="line"><a name="l00238"></a><span class="lineno"> 238</span> <span class="preprocessor">#define ABS8_AVRASM 1</span></div>
<div class="line"><a name="l00239"></a><span class="lineno"> 239</span> <span class="preprocessor">#define ADD8_AVRASM 1</span></div>
<div class="line"><a name="l00240"></a><span class="lineno"> 240</span> <span class="preprocessor">#define SUB8_AVRASM 1</span></div>
<div class="line"><a name="l00241"></a><span class="lineno"> 241</span> <span class="preprocessor">#define AVG8_AVRASM 1</span></div>
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span> <span class="preprocessor">#define AVG7_AVRASM 1</span></div>
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span> <span class="preprocessor">#define AVG16_AVRASM 1</span></div>
<div class="line"><a name="l00244"></a><span class="lineno"> 244</span> <span class="preprocessor">#define AVG15_AVRASM 1</span></div>
<div class="line"><a name="l00245"></a><span class="lineno"> 245</span> </div>
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span> <span class="comment">// Note: these require hardware MUL instruction</span></div>
<div class="line"><a name="l00247"></a><span class="lineno"> 247</span> <span class="comment">// -- sorry, ATtiny!</span></div>
<div class="line"><a name="l00248"></a><span class="lineno"> 248</span> <span class="preprocessor">#if !defined(LIB8_ATTINY)</span></div>
<div class="line"><a name="l00249"></a><span class="lineno"> 249</span> <span class="preprocessor">#define SCALE8_C 0</span></div>
<div class="line"><a name="l00250"></a><span class="lineno"> 250</span> <span class="preprocessor">#define SCALE16BY8_C 0</span></div>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span> <span class="preprocessor">#define SCALE16_C 0</span></div>
<div class="line"><a name="l00252"></a><span class="lineno"> 252</span> <span class="preprocessor">#define MUL8_C 0</span></div>
<div class="line"><a name="l00253"></a><span class="lineno"> 253</span> <span class="preprocessor">#define QMUL8_C 0</span></div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span> <span class="preprocessor">#define EASE8_C 0</span></div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span> <span class="preprocessor">#define SCALE8_AVRASM 1</span></div>
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span> <span class="preprocessor">#define SCALE16BY8_AVRASM 1</span></div>
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span> <span class="preprocessor">#define SCALE16_AVRASM 1</span></div>
<div class="line"><a name="l00258"></a><span class="lineno"> 258</span> <span class="preprocessor">#define MUL8_AVRASM 1</span></div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span> <span class="preprocessor">#define QMUL8_AVRASM 1</span></div>
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span> <span class="preprocessor">#define EASE8_AVRASM 1</span></div>
<div class="line"><a name="l00261"></a><span class="lineno"> 261</span> <span class="preprocessor">#define CLEANUP_R1_AVRASM 1</span></div>
<div class="line"><a name="l00262"></a><span class="lineno"> 262</span> <span class="preprocessor">#else</span></div>
<div class="line"><a name="l00263"></a><span class="lineno"> 263</span> <span class="comment">// On ATtiny, we just use C implementations</span></div>
<div class="line"><a name="l00264"></a><span class="lineno"> 264</span> <span class="preprocessor">#define SCALE8_C 1</span></div>
<div class="line"><a name="l00265"></a><span class="lineno"> 265</span> <span class="preprocessor">#define SCALE16BY8_C 1</span></div>
<div class="line"><a name="l00266"></a><span class="lineno"> 266</span> <span class="preprocessor">#define SCALE16_C 1</span></div>
<div class="line"><a name="l00267"></a><span class="lineno"> 267</span> <span class="preprocessor">#define MUL8_C 1</span></div>
<div class="line"><a name="l00268"></a><span class="lineno"> 268</span> <span class="preprocessor">#define QMUL8_C 1</span></div>
<div class="line"><a name="l00269"></a><span class="lineno"> 269</span> <span class="preprocessor">#define EASE8_C 1</span></div>
<div class="line"><a name="l00270"></a><span class="lineno"> 270</span> <span class="preprocessor">#define SCALE8_AVRASM 0</span></div>
<div class="line"><a name="l00271"></a><span class="lineno"> 271</span> <span class="preprocessor">#define SCALE16BY8_AVRASM 0</span></div>
<div class="line"><a name="l00272"></a><span class="lineno"> 272</span> <span class="preprocessor">#define SCALE16_AVRASM 0</span></div>
<div class="line"><a name="l00273"></a><span class="lineno"> 273</span> <span class="preprocessor">#define MUL8_AVRASM 0</span></div>
<div class="line"><a name="l00274"></a><span class="lineno"> 274</span> <span class="preprocessor">#define QMUL8_AVRASM 0</span></div>
<div class="line"><a name="l00275"></a><span class="lineno"> 275</span> <span class="preprocessor">#define EASE8_AVRASM 0</span></div>
<div class="line"><a name="l00276"></a><span class="lineno"> 276</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00277"></a><span class="lineno"> 277</span> </div>
<div class="line"><a name="l00278"></a><span class="lineno"> 278</span> <span class="preprocessor">#else</span></div>
<div class="line"><a name="l00279"></a><span class="lineno"> 279</span> </div>
<div class="line"><a name="l00280"></a><span class="lineno"> 280</span> <span class="comment">// unspecified architecture, so</span></div>
<div class="line"><a name="l00281"></a><span class="lineno"> 281</span> <span class="comment">// no ASM, everything in C</span></div>
<div class="line"><a name="l00282"></a><span class="lineno"> 282</span> <span class="preprocessor">#define QADD8_C 1</span></div>
<div class="line"><a name="l00283"></a><span class="lineno"> 283</span> <span class="preprocessor">#define QADD7_C 1</span></div>
<div class="line"><a name="l00284"></a><span class="lineno"> 284</span> <span class="preprocessor">#define QSUB8_C 1</span></div>
<div class="line"><a name="l00285"></a><span class="lineno"> 285</span> <span class="preprocessor">#define SCALE8_C 1</span></div>
<div class="line"><a name="l00286"></a><span class="lineno"> 286</span> <span class="preprocessor">#define SCALE16BY8_C 1</span></div>
<div class="line"><a name="l00287"></a><span class="lineno"> 287</span> <span class="preprocessor">#define SCALE16_C 1</span></div>
<div class="line"><a name="l00288"></a><span class="lineno"> 288</span> <span class="preprocessor">#define ABS8_C 1</span></div>
<div class="line"><a name="l00289"></a><span class="lineno"> 289</span> <span class="preprocessor">#define MUL8_C 1</span></div>
<div class="line"><a name="l00290"></a><span class="lineno"> 290</span> <span class="preprocessor">#define QMUL8_C 1</span></div>
<div class="line"><a name="l00291"></a><span class="lineno"> 291</span> <span class="preprocessor">#define ADD8_C 1</span></div>
<div class="line"><a name="l00292"></a><span class="lineno"> 292</span> <span class="preprocessor">#define SUB8_C 1</span></div>
<div class="line"><a name="l00293"></a><span class="lineno"> 293</span> <span class="preprocessor">#define EASE8_C 1</span></div>
<div class="line"><a name="l00294"></a><span class="lineno"> 294</span> <span class="preprocessor">#define AVG8_C 1</span></div>
<div class="line"><a name="l00295"></a><span class="lineno"> 295</span> <span class="preprocessor">#define AVG7_C 1</span></div>
<div class="line"><a name="l00296"></a><span class="lineno"> 296</span> <span class="preprocessor">#define AVG16_C 1</span></div>
<div class="line"><a name="l00297"></a><span class="lineno"> 297</span> <span class="preprocessor">#define AVG15_C 1</span></div>
<div class="line"><a name="l00298"></a><span class="lineno"> 298</span> </div>
<div class="line"><a name="l00299"></a><span class="lineno"> 299</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00300"></a><span class="lineno"> 300</span> </div>
<div class="line"><a name="l00304"></a><span class="lineno"> 304</span> </div>
<div class="line"><a name="l00305"></a><span class="lineno"> 305</span> </div>
<div class="line"><a name="l00307"></a><span class="lineno"> 307</span> <span class="comment">//</span></div>
<div class="line"><a name="l00308"></a><span class="lineno"> 308</span> <span class="comment">// typdefs for fixed-point fractional types.</span></div>
<div class="line"><a name="l00309"></a><span class="lineno"> 309</span> <span class="comment">//</span></div>
<div class="line"><a name="l00310"></a><span class="lineno"> 310</span> <span class="comment">// sfract7 should be interpreted as signed 128ths.</span></div>
<div class="line"><a name="l00311"></a><span class="lineno"> 311</span> <span class="comment">// fract8 should be interpreted as unsigned 256ths.</span></div>
<div class="line"><a name="l00312"></a><span class="lineno"> 312</span> <span class="comment">// sfract15 should be interpreted as signed 32768ths.</span></div>
<div class="line"><a name="l00313"></a><span class="lineno"> 313</span> <span class="comment">// fract16 should be interpreted as unsigned 65536ths.</span></div>
<div class="line"><a name="l00314"></a><span class="lineno"> 314</span> <span class="comment">//</span></div>
<div class="line"><a name="l00315"></a><span class="lineno"> 315</span> <span class="comment">// Example: if a fract8 has the value "64", that should be interpreted</span></div>
<div class="line"><a name="l00316"></a><span class="lineno"> 316</span> <span class="comment">// as 64/256ths, or one-quarter.</span></div>
<div class="line"><a name="l00317"></a><span class="lineno"> 317</span> <span class="comment">//</span></div>
<div class="line"><a name="l00318"></a><span class="lineno"> 318</span> <span class="comment">//</span></div>
<div class="line"><a name="l00319"></a><span class="lineno"> 319</span> <span class="comment">// fract8 range is 0 to 0.99609375</span></div>
<div class="line"><a name="l00320"></a><span class="lineno"> 320</span> <span class="comment">// in steps of 0.00390625</span></div>
<div class="line"><a name="l00321"></a><span class="lineno"> 321</span> <span class="comment">//</span></div>
<div class="line"><a name="l00322"></a><span class="lineno"> 322</span> <span class="comment">// sfract7 range is -0.9921875 to 0.9921875</span></div>
<div class="line"><a name="l00323"></a><span class="lineno"> 323</span> <span class="comment">// in steps of 0.0078125</span></div>
<div class="line"><a name="l00324"></a><span class="lineno"> 324</span> <span class="comment">//</span></div>
<div class="line"><a name="l00325"></a><span class="lineno"> 325</span> <span class="comment">// fract16 range is 0 to 0.99998474121</span></div>
<div class="line"><a name="l00326"></a><span class="lineno"> 326</span> <span class="comment">// in steps of 0.00001525878</span></div>
<div class="line"><a name="l00327"></a><span class="lineno"> 327</span> <span class="comment">//</span></div>
<div class="line"><a name="l00328"></a><span class="lineno"> 328</span> <span class="comment">// sfract15 range is -0.99996948242 to 0.99996948242</span></div>
<div class="line"><a name="l00329"></a><span class="lineno"> 329</span> <span class="comment">// in steps of 0.00003051757</span></div>
<div class="line"><a name="l00330"></a><span class="lineno"> 330</span> <span class="comment">//</span></div>
<div class="line"><a name="l00331"></a><span class="lineno"> 331</span> </div>
<div class="line"><a name="l00334"></a><span class="lineno"><a class="line" href="group__lib8tion.html#ga5d6d013429a5b8a09d564d6137217644"> 334</a></span> <span class="keyword">typedef</span> uint8_t <a class="code" href="group__lib8tion.html#ga5d6d013429a5b8a09d564d6137217644">fract8</a>; </div>
<div class="line"><a name="l00335"></a><span class="lineno"> 335</span> </div>
<div class="line"><a name="l00338"></a><span class="lineno"><a class="line" href="group__lib8tion.html#ga7d6219a7247ab1923ed623e7ae0f34ae"> 338</a></span> <span class="keyword">typedef</span> int8_t <a class="code" href="group__lib8tion.html#ga7d6219a7247ab1923ed623e7ae0f34ae">sfract7</a>; </div>
<div class="line"><a name="l00339"></a><span class="lineno"> 339</span> </div>
<div class="line"><a name="l00342"></a><span class="lineno"><a class="line" href="group__lib8tion.html#gaaf46b9f719ef3bdb574f8e967af6dbb5"> 342</a></span> <span class="keyword">typedef</span> uint16_t <a class="code" href="group__lib8tion.html#gaaf46b9f719ef3bdb574f8e967af6dbb5">fract16</a>; </div>
<div class="line"><a name="l00343"></a><span class="lineno"> 343</span> </div>
<div class="line"><a name="l00346"></a><span class="lineno"><a class="line" href="group__lib8tion.html#ga00cb5dc9e5b477a58669a3e40bc473c2"> 346</a></span> <span class="keyword">typedef</span> int16_t <a class="code" href="group__lib8tion.html#ga00cb5dc9e5b477a58669a3e40bc473c2">sfract15</a>; </div>
<div class="line"><a name="l00347"></a><span class="lineno"> 347</span> </div>
<div class="line"><a name="l00348"></a><span class="lineno"> 348</span> </div>
<div class="line"><a name="l00349"></a><span class="lineno"> 349</span> <span class="comment">// accumXY types should be interpreted as X bits of integer,</span></div>
<div class="line"><a name="l00350"></a><span class="lineno"> 350</span> <span class="comment">// and Y bits of fraction.</span></div>
<div class="line"><a name="l00351"></a><span class="lineno"> 351</span> <span class="comment">// E.g., accum88 has 8 bits of int, 8 bits of fraction</span></div>
<div class="line"><a name="l00352"></a><span class="lineno"> 352</span> </div>
<div class="line"><a name="l00353"></a><span class="lineno"><a class="line" href="group__lib8tion.html#ga397f872082dbd788e04e8c6e443e563a"> 353</a></span> <span class="keyword">typedef</span> uint16_t <a class="code" href="group__lib8tion.html#ga397f872082dbd788e04e8c6e443e563a">accum88</a>; </div>
<div class="line"><a name="l00354"></a><span class="lineno"><a class="line" href="group__lib8tion.html#ga9585be88f27cab4c367399d8e91c8467"> 354</a></span> <span class="keyword">typedef</span> int16_t <a class="code" href="group__lib8tion.html#ga9585be88f27cab4c367399d8e91c8467">saccum78</a>; </div>
<div class="line"><a name="l00355"></a><span class="lineno"><a class="line" href="group__lib8tion.html#gae3ac7def25ef5ddea2da1a3bc0c00f44"> 355</a></span> <span class="keyword">typedef</span> uint32_t <a class="code" href="group__lib8tion.html#gae3ac7def25ef5ddea2da1a3bc0c00f44">accum1616</a>;</div>
<div class="line"><a name="l00356"></a><span class="lineno"><a class="line" href="group__lib8tion.html#gad2dad84f67c8a4cc6d4c92e2c7d3e89f"> 356</a></span> <span class="keyword">typedef</span> int32_t <a class="code" href="group__lib8tion.html#gad2dad84f67c8a4cc6d4c92e2c7d3e89f">saccum1516</a>;</div>
<div class="line"><a name="l00357"></a><span class="lineno"><a class="line" href="group__lib8tion.html#ga7bcc9ebf20b0dd74d9999d5a630d443f"> 357</a></span> <span class="keyword">typedef</span> uint16_t <a class="code" href="group__lib8tion.html#ga7bcc9ebf20b0dd74d9999d5a630d443f">accum124</a>; </div>
<div class="line"><a name="l00358"></a><span class="lineno"><a class="line" href="group__lib8tion.html#ga95e7a40d98aa0371e9adce9220d3a67c"> 358</a></span> <span class="keyword">typedef</span> int32_t <a class="code" href="group__lib8tion.html#ga95e7a40d98aa0371e9adce9220d3a67c">saccum114</a>;</div>
<div class="line"><a name="l00359"></a><span class="lineno"> 359</span> </div>
<div class="line"><a name="l00360"></a><span class="lineno"> 360</span> </div>
<div class="line"><a name="l00362"></a><span class="lineno"><a class="line" href="union_i_e_e_e754binary32__t.html"> 362</a></span> <span class="keyword">typedef</span> <span class="keyword">union </span>{</div>
<div class="line"><a name="l00363"></a><span class="lineno"> 363</span>  uint32_t i;</div>
<div class="line"><a name="l00364"></a><span class="lineno"> 364</span>  <span class="keywordtype">float</span> f;</div>
<div class="line"><a name="l00365"></a><span class="lineno"> 365</span>  <span class="keyword">struct </span>{</div>
<div class="line"><a name="l00366"></a><span class="lineno"> 366</span>  uint32_t mantissa: 23;</div>
<div class="line"><a name="l00367"></a><span class="lineno"> 367</span>  uint32_t exponent: 8;</div>
<div class="line"><a name="l00368"></a><span class="lineno"> 368</span>  uint32_t signbit: 1;</div>
<div class="line"><a name="l00369"></a><span class="lineno"> 369</span>  };</div>
<div class="line"><a name="l00370"></a><span class="lineno"> 370</span>  <span class="keyword">struct </span>{</div>
<div class="line"><a name="l00371"></a><span class="lineno"> 371</span>  uint32_t mant7 : 7;</div>
<div class="line"><a name="l00372"></a><span class="lineno"> 372</span>  uint32_t mant16: 16;</div>
<div class="line"><a name="l00373"></a><span class="lineno"> 373</span>  uint32_t exp_ : 8;</div>
<div class="line"><a name="l00374"></a><span class="lineno"> 374</span>  uint32_t sb_ : 1;</div>
<div class="line"><a name="l00375"></a><span class="lineno"> 375</span>  };</div>
<div class="line"><a name="l00376"></a><span class="lineno"> 376</span>  <span class="keyword">struct </span>{</div>
<div class="line"><a name="l00377"></a><span class="lineno"> 377</span>  uint32_t mant_lo8 : 8;</div>
<div class="line"><a name="l00378"></a><span class="lineno"> 378</span>  uint32_t mant_hi16_exp_lo1 : 16;</div>
<div class="line"><a name="l00379"></a><span class="lineno"> 379</span>  uint32_t sb_exphi7 : 8;</div>
<div class="line"><a name="l00380"></a><span class="lineno"> 380</span>  };</div>
<div class="line"><a name="l00381"></a><span class="lineno"> 381</span> } <a class="code" href="union_i_e_e_e754binary32__t.html">IEEE754binary32_t</a>;</div>
<div class="line"><a name="l00382"></a><span class="lineno"> 382</span> </div>
<div class="line"><a name="l00383"></a><span class="lineno"> 383</span> <span class="preprocessor">#include "lib8tion/math8.h"</span></div>
<div class="line"><a name="l00384"></a><span class="lineno"> 384</span> <span class="preprocessor">#include "lib8tion/scale8.h"</span></div>
<div class="line"><a name="l00385"></a><span class="lineno"> 385</span> <span class="preprocessor">#include "lib8tion/random8.h"</span></div>
<div class="line"><a name="l00386"></a><span class="lineno"> 386</span> <span class="preprocessor">#include "lib8tion/trig8.h"</span></div>
<div class="line"><a name="l00387"></a><span class="lineno"> 387</span> </div>
<div class="line"><a name="l00389"></a><span class="lineno"> 389</span> </div>
<div class="line"><a name="l00390"></a><span class="lineno"> 390</span> </div>
<div class="line"><a name="l00391"></a><span class="lineno"> 391</span> </div>
<div class="line"><a name="l00392"></a><span class="lineno"> 392</span> </div>
<div class="line"><a name="l00393"></a><span class="lineno"> 393</span> </div>
<div class="line"><a name="l00394"></a><span class="lineno"> 394</span> </div>
<div class="line"><a name="l00395"></a><span class="lineno"> 395</span> </div>
<div class="line"><a name="l00397"></a><span class="lineno"> 397</span> <span class="comment">//</span></div>
<div class="line"><a name="l00398"></a><span class="lineno"> 398</span> <span class="comment">// float-to-fixed and fixed-to-float conversions</span></div>
<div class="line"><a name="l00399"></a><span class="lineno"> 399</span> <span class="comment">//</span></div>
<div class="line"><a name="l00400"></a><span class="lineno"> 400</span> <span class="comment">// Note that anything involving a 'float' on AVR will be slower.</span></div>
<div class="line"><a name="l00401"></a><span class="lineno"> 401</span> </div>
<div class="line"><a name="l00404"></a><span class="lineno"><a class="line" href="group__lib8tion.html#gab947c1150e3b9056cb91685a14270173"> 404</a></span> LIB8STATIC <span class="keywordtype">float</span> <a class="code" href="group__lib8tion.html#gab947c1150e3b9056cb91685a14270173">sfract15ToFloat</a>( <a class="code" href="group__lib8tion.html#ga00cb5dc9e5b477a58669a3e40bc473c2">sfract15</a> y)</div>
<div class="line"><a name="l00405"></a><span class="lineno"> 405</span> {</div>
<div class="line"><a name="l00406"></a><span class="lineno"> 406</span>  <span class="keywordflow">return</span> y / 32768.0;</div>
<div class="line"><a name="l00407"></a><span class="lineno"> 407</span> }</div>
<div class="line"><a name="l00408"></a><span class="lineno"> 408</span> </div>
<div class="line"><a name="l00413"></a><span class="lineno"><a class="line" href="group__lib8tion.html#gaa2facbc0ec935e34c629aef43d6262c0"> 413</a></span> LIB8STATIC <a class="code" href="group__lib8tion.html#ga00cb5dc9e5b477a58669a3e40bc473c2">sfract15</a> <a class="code" href="group__lib8tion.html#gaa2facbc0ec935e34c629aef43d6262c0">floatToSfract15</a>( <span class="keywordtype">float</span> f)</div>
<div class="line"><a name="l00414"></a><span class="lineno"> 414</span> {</div>
<div class="line"><a name="l00415"></a><span class="lineno"> 415</span>  <span class="keywordflow">return</span> f * 32768.0;</div>
<div class="line"><a name="l00416"></a><span class="lineno"> 416</span> }</div>
<div class="line"><a name="l00417"></a><span class="lineno"> 417</span> </div>
<div class="line"><a name="l00418"></a><span class="lineno"> 418</span> </div>
<div class="line"><a name="l00419"></a><span class="lineno"> 419</span> </div>
<div class="line"><a name="l00421"></a><span class="lineno"> 421</span> <span class="comment">//</span></div>
<div class="line"><a name="l00422"></a><span class="lineno"> 422</span> <span class="comment">// memmove8, memcpy8, and memset8:</span></div>
<div class="line"><a name="l00423"></a><span class="lineno"> 423</span> <span class="comment">// alternatives to memmove, memcpy, and memset that are</span></div>
<div class="line"><a name="l00424"></a><span class="lineno"> 424</span> <span class="comment">// faster on AVR than standard avr-libc 1.8</span></div>
<div class="line"><a name="l00425"></a><span class="lineno"> 425</span> </div>
<div class="line"><a name="l00426"></a><span class="lineno"> 426</span> <span class="preprocessor">#if defined(__AVR__)</span></div>
<div class="line"><a name="l00427"></a><span class="lineno"> 427</span> <span class="keyword">extern</span> <span class="stringliteral">"C"</span> {</div>
<div class="line"><a name="l00428"></a><span class="lineno"> 428</span> <span class="keywordtype">void</span> * memmove8( <span class="keywordtype">void</span> * dst, <span class="keyword">const</span> <span class="keywordtype">void</span> * src, uint16_t num );</div>
<div class="line"><a name="l00429"></a><span class="lineno"> 429</span> <span class="keywordtype">void</span> * memcpy8 ( <span class="keywordtype">void</span> * dst, <span class="keyword">const</span> <span class="keywordtype">void</span> * src, uint16_t num ) <a class="code" href="group___bitswap.html#ga01396a2e40133293c3badab349ac99f0">__attribute__</a> ((noinline));</div>
<div class="line"><a name="l00430"></a><span class="lineno"> 430</span> <span class="keywordtype">void</span> * memset8 ( <span class="keywordtype">void</span> * ptr, uint8_t value, uint16_t num ) <a class="code" href="group___bitswap.html#ga01396a2e40133293c3badab349ac99f0">__attribute__</a> ((noinline)) ;</div>
<div class="line"><a name="l00431"></a><span class="lineno"> 431</span> }</div>
<div class="line"><a name="l00432"></a><span class="lineno"> 432</span> <span class="preprocessor">#else</span></div>
<div class="line"><a name="l00433"></a><span class="lineno"> 433</span> <span class="comment">// on non-AVR platforms, these names just call standard libc.</span></div>
<div class="line"><a name="l00434"></a><span class="lineno"> 434</span> <span class="preprocessor">#define memmove8 memmove</span></div>
<div class="line"><a name="l00435"></a><span class="lineno"> 435</span> <span class="preprocessor">#define memcpy8 memcpy</span></div>
<div class="line"><a name="l00436"></a><span class="lineno"> 436</span> <span class="preprocessor">#define memset8 memset</span></div>
<div class="line"><a name="l00437"></a><span class="lineno"> 437</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00438"></a><span class="lineno"> 438</span> </div>
<div class="line"><a name="l00439"></a><span class="lineno"> 439</span> </div>
<div class="line"><a name="l00441"></a><span class="lineno"> 441</span> <span class="comment">//</span></div>
<div class="line"><a name="l00442"></a><span class="lineno"> 442</span> <span class="comment">// linear interpolation, such as could be used for Perlin noise, etc.</span></div>
<div class="line"><a name="l00443"></a><span class="lineno"> 443</span> <span class="comment">//</span></div>
<div class="line"><a name="l00444"></a><span class="lineno"> 444</span> </div>
<div class="line"><a name="l00445"></a><span class="lineno"> 445</span> <span class="comment">// A note on the structure of the lerp functions:</span></div>
<div class="line"><a name="l00446"></a><span class="lineno"> 446</span> <span class="comment">// The cases for b>a and b<=a are handled separately for</span></div>
<div class="line"><a name="l00447"></a><span class="lineno"> 447</span> <span class="comment">// speed: without knowing the relative order of a and b,</span></div>
<div class="line"><a name="l00448"></a><span class="lineno"> 448</span> <span class="comment">// the value (a-b) might be overflow the width of a or b,</span></div>
<div class="line"><a name="l00449"></a><span class="lineno"> 449</span> <span class="comment">// and have to be promoted to a wider, slower type.</span></div>
<div class="line"><a name="l00450"></a><span class="lineno"> 450</span> <span class="comment">// To avoid that, we separate the two cases, and are able</span></div>
<div class="line"><a name="l00451"></a><span class="lineno"> 451</span> <span class="comment">// to do all the math in the same width as the arguments,</span></div>
<div class="line"><a name="l00452"></a><span class="lineno"> 452</span> <span class="comment">// which is much faster and smaller on AVR.</span></div>
<div class="line"><a name="l00453"></a><span class="lineno"> 453</span> </div>
<div class="line"><a name="l00456"></a><span class="lineno"><a class="line" href="group__lib8tion.html#ga62ed4425400bc4140902347dc54ffb72"> 456</a></span> LIB8STATIC uint8_t <a class="code" href="group__lib8tion.html#ga62ed4425400bc4140902347dc54ffb72">lerp8by8</a>( uint8_t a, uint8_t b, <a class="code" href="group__lib8tion.html#ga5d6d013429a5b8a09d564d6137217644">fract8</a> frac)</div>
<div class="line"><a name="l00457"></a><span class="lineno"> 457</span> {</div>
<div class="line"><a name="l00458"></a><span class="lineno"> 458</span>  uint8_t result;</div>
<div class="line"><a name="l00459"></a><span class="lineno"> 459</span>  <span class="keywordflow">if</span>( b > a) {</div>
<div class="line"><a name="l00460"></a><span class="lineno"> 460</span>  uint8_t delta = b - a;</div>
<div class="line"><a name="l00461"></a><span class="lineno"> 461</span>  uint8_t scaled = <a class="code" href="group___scaling.html#ga6c160f8c36ce9b3c5eda68e4992010af">scale8</a>( delta, frac);</div>
<div class="line"><a name="l00462"></a><span class="lineno"> 462</span>  result = a + scaled;</div>
<div class="line"><a name="l00463"></a><span class="lineno"> 463</span>  } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00464"></a><span class="lineno"> 464</span>  uint8_t delta = a - b;</div>
<div class="line"><a name="l00465"></a><span class="lineno"> 465</span>  uint8_t scaled = <a class="code" href="group___scaling.html#ga6c160f8c36ce9b3c5eda68e4992010af">scale8</a>( delta, frac);</div>
<div class="line"><a name="l00466"></a><span class="lineno"> 466</span>  result = a - scaled;</div>
<div class="line"><a name="l00467"></a><span class="lineno"> 467</span>  }</div>
<div class="line"><a name="l00468"></a><span class="lineno"> 468</span>  <span class="keywordflow">return</span> result;</div>
<div class="line"><a name="l00469"></a><span class="lineno"> 469</span> }</div>
<div class="line"><a name="l00470"></a><span class="lineno"> 470</span> </div>
<div class="line"><a name="l00473"></a><span class="lineno"><a class="line" href="group__lib8tion.html#ga7c02960d0f26e90054c7312e5f9a55b3"> 473</a></span> LIB8STATIC uint16_t <a class="code" href="group__lib8tion.html#ga7c02960d0f26e90054c7312e5f9a55b3">lerp16by16</a>( uint16_t a, uint16_t b, <a class="code" href="group__lib8tion.html#gaaf46b9f719ef3bdb574f8e967af6dbb5">fract16</a> frac)</div>
<div class="line"><a name="l00474"></a><span class="lineno"> 474</span> {</div>
<div class="line"><a name="l00475"></a><span class="lineno"> 475</span>  uint16_t result;</div>
<div class="line"><a name="l00476"></a><span class="lineno"> 476</span>  <span class="keywordflow">if</span>( b > a ) {</div>
<div class="line"><a name="l00477"></a><span class="lineno"> 477</span>  uint16_t delta = b - a;</div>
<div class="line"><a name="l00478"></a><span class="lineno"> 478</span>  uint32_t scaled = <a class="code" href="group___scaling.html#ga1ff8ac00ad78e22acc7bb7445bfdb145">scale16</a>(delta, frac);</div>
<div class="line"><a name="l00479"></a><span class="lineno"> 479</span>  result = a + scaled;</div>
<div class="line"><a name="l00480"></a><span class="lineno"> 480</span>  } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00481"></a><span class="lineno"> 481</span>  uint16_t delta = a - b;</div>
<div class="line"><a name="l00482"></a><span class="lineno"> 482</span>  uint16_t scaled = <a class="code" href="group___scaling.html#ga1ff8ac00ad78e22acc7bb7445bfdb145">scale16</a>( delta, frac);</div>
<div class="line"><a name="l00483"></a><span class="lineno"> 483</span>  result = a - scaled;</div>
<div class="line"><a name="l00484"></a><span class="lineno"> 484</span>  }</div>
<div class="line"><a name="l00485"></a><span class="lineno"> 485</span>  <span class="keywordflow">return</span> result;</div>
<div class="line"><a name="l00486"></a><span class="lineno"> 486</span> }</div>
<div class="line"><a name="l00487"></a><span class="lineno"> 487</span> </div>
<div class="line"><a name="l00490"></a><span class="lineno"><a class="line" href="group__lib8tion.html#ga8c8f06da86c5d7cf13f55c3a5bfdf251"> 490</a></span> LIB8STATIC uint16_t <a class="code" href="group__lib8tion.html#ga8c8f06da86c5d7cf13f55c3a5bfdf251">lerp16by8</a>( uint16_t a, uint16_t b, <a class="code" href="group__lib8tion.html#ga5d6d013429a5b8a09d564d6137217644">fract8</a> frac)</div>
<div class="line"><a name="l00491"></a><span class="lineno"> 491</span> {</div>
<div class="line"><a name="l00492"></a><span class="lineno"> 492</span>  uint16_t result;</div>
<div class="line"><a name="l00493"></a><span class="lineno"> 493</span>  <span class="keywordflow">if</span>( b > a) {</div>
<div class="line"><a name="l00494"></a><span class="lineno"> 494</span>  uint16_t delta = b - a;</div>
<div class="line"><a name="l00495"></a><span class="lineno"> 495</span>  uint16_t scaled = <a class="code" href="group___scaling.html#gaf34fde0746c9c2e5ed44f9c437a2267e">scale16by8</a>( delta, frac);</div>
<div class="line"><a name="l00496"></a><span class="lineno"> 496</span>  result = a + scaled;</div>
<div class="line"><a name="l00497"></a><span class="lineno"> 497</span>  } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00498"></a><span class="lineno"> 498</span>  uint16_t delta = a - b;</div>
<div class="line"><a name="l00499"></a><span class="lineno"> 499</span>  uint16_t scaled = <a class="code" href="group___scaling.html#gaf34fde0746c9c2e5ed44f9c437a2267e">scale16by8</a>( delta, frac);</div>
<div class="line"><a name="l00500"></a><span class="lineno"> 500</span>  result = a - scaled;</div>
<div class="line"><a name="l00501"></a><span class="lineno"> 501</span>  }</div>
<div class="line"><a name="l00502"></a><span class="lineno"> 502</span>  <span class="keywordflow">return</span> result;</div>
<div class="line"><a name="l00503"></a><span class="lineno"> 503</span> }</div>
<div class="line"><a name="l00504"></a><span class="lineno"> 504</span> </div>
<div class="line"><a name="l00507"></a><span class="lineno"><a class="line" href="group__lib8tion.html#gaacea0eaea98a065dfa08bb1c147c52a1"> 507</a></span> LIB8STATIC int16_t <a class="code" href="group__lib8tion.html#gaacea0eaea98a065dfa08bb1c147c52a1">lerp15by8</a>( int16_t a, int16_t b, <a class="code" href="group__lib8tion.html#ga5d6d013429a5b8a09d564d6137217644">fract8</a> frac)</div>
<div class="line"><a name="l00508"></a><span class="lineno"> 508</span> {</div>
<div class="line"><a name="l00509"></a><span class="lineno"> 509</span>  int16_t result;</div>
<div class="line"><a name="l00510"></a><span class="lineno"> 510</span>  <span class="keywordflow">if</span>( b > a) {</div>
<div class="line"><a name="l00511"></a><span class="lineno"> 511</span>  uint16_t delta = b - a;</div>
<div class="line"><a name="l00512"></a><span class="lineno"> 512</span>  uint16_t scaled = <a class="code" href="group___scaling.html#gaf34fde0746c9c2e5ed44f9c437a2267e">scale16by8</a>( delta, frac);</div>
<div class="line"><a name="l00513"></a><span class="lineno"> 513</span>  result = a + scaled;</div>
<div class="line"><a name="l00514"></a><span class="lineno"> 514</span>  } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00515"></a><span class="lineno"> 515</span>  uint16_t delta = a - b;</div>
<div class="line"><a name="l00516"></a><span class="lineno"> 516</span>  uint16_t scaled = <a class="code" href="group___scaling.html#gaf34fde0746c9c2e5ed44f9c437a2267e">scale16by8</a>( delta, frac);</div>
<div class="line"><a name="l00517"></a><span class="lineno"> 517</span>  result = a - scaled;</div>
<div class="line"><a name="l00518"></a><span class="lineno"> 518</span>  }</div>
<div class="line"><a name="l00519"></a><span class="lineno"> 519</span>  <span class="keywordflow">return</span> result;</div>
<div class="line"><a name="l00520"></a><span class="lineno"> 520</span> }</div>
<div class="line"><a name="l00521"></a><span class="lineno"> 521</span> </div>
<div class="line"><a name="l00524"></a><span class="lineno"><a class="line" href="group__lib8tion.html#gad4b09aba4e188e14d3e71d1c9f77f1a5"> 524</a></span> LIB8STATIC int16_t <a class="code" href="group__lib8tion.html#gad4b09aba4e188e14d3e71d1c9f77f1a5">lerp15by16</a>( int16_t a, int16_t b, <a class="code" href="group__lib8tion.html#gaaf46b9f719ef3bdb574f8e967af6dbb5">fract16</a> frac)</div>
<div class="line"><a name="l00525"></a><span class="lineno"> 525</span> {</div>
<div class="line"><a name="l00526"></a><span class="lineno"> 526</span>  int16_t result;</div>
<div class="line"><a name="l00527"></a><span class="lineno"> 527</span>  <span class="keywordflow">if</span>( b > a) {</div>
<div class="line"><a name="l00528"></a><span class="lineno"> 528</span>  uint16_t delta = b - a;</div>
<div class="line"><a name="l00529"></a><span class="lineno"> 529</span>  uint16_t scaled = <a class="code" href="group___scaling.html#ga1ff8ac00ad78e22acc7bb7445bfdb145">scale16</a>( delta, frac);</div>
<div class="line"><a name="l00530"></a><span class="lineno"> 530</span>  result = a + scaled;</div>
<div class="line"><a name="l00531"></a><span class="lineno"> 531</span>  } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00532"></a><span class="lineno"> 532</span>  uint16_t delta = a - b;</div>
<div class="line"><a name="l00533"></a><span class="lineno"> 533</span>  uint16_t scaled = <a class="code" href="group___scaling.html#ga1ff8ac00ad78e22acc7bb7445bfdb145">scale16</a>( delta, frac);</div>
<div class="line"><a name="l00534"></a><span class="lineno"> 534</span>  result = a - scaled;</div>
<div class="line"><a name="l00535"></a><span class="lineno"> 535</span>  }</div>
<div class="line"><a name="l00536"></a><span class="lineno"> 536</span>  <span class="keywordflow">return</span> result;</div>
<div class="line"><a name="l00537"></a><span class="lineno"> 537</span> }</div>
<div class="line"><a name="l00538"></a><span class="lineno"> 538</span> </div>
<div class="line"><a name="l00556"></a><span class="lineno"><a class="line" href="group__lib8tion.html#gaf65357c7aeca9778e5a2f80a6bac2b5d"> 556</a></span> LIB8STATIC uint8_t <a class="code" href="group__lib8tion.html#gaf65357c7aeca9778e5a2f80a6bac2b5d">map8</a>( uint8_t in, uint8_t rangeStart, uint8_t rangeEnd)</div>
<div class="line"><a name="l00557"></a><span class="lineno"> 557</span> {</div>
<div class="line"><a name="l00558"></a><span class="lineno"> 558</span>  uint8_t rangeWidth = rangeEnd - rangeStart;</div>
<div class="line"><a name="l00559"></a><span class="lineno"> 559</span>  uint8_t out = <a class="code" href="group___scaling.html#ga6c160f8c36ce9b3c5eda68e4992010af">scale8</a>( in, rangeWidth);</div>
<div class="line"><a name="l00560"></a><span class="lineno"> 560</span>  out += rangeStart;</div>
<div class="line"><a name="l00561"></a><span class="lineno"> 561</span>  <span class="keywordflow">return</span> out;</div>
<div class="line"><a name="l00562"></a><span class="lineno"> 562</span> }</div>
<div class="line"><a name="l00563"></a><span class="lineno"> 563</span> </div>
<div class="line"><a name="l00564"></a><span class="lineno"> 564</span> </div>
<div class="line"><a name="l00566"></a><span class="lineno"> 566</span> <span class="comment">//</span></div>
<div class="line"><a name="l00567"></a><span class="lineno"> 567</span> <span class="comment">// easing functions; see http://easings.net</span></div>
<div class="line"><a name="l00568"></a><span class="lineno"> 568</span> <span class="comment">//</span></div>
<div class="line"><a name="l00569"></a><span class="lineno"> 569</span> </div>
<div class="line"><a name="l00572"></a><span class="lineno"><a class="line" href="group__lib8tion.html#ga381449070b2d6bfba356f87881ab28c0"> 572</a></span> LIB8STATIC uint8_t <a class="code" href="group__lib8tion.html#ga381449070b2d6bfba356f87881ab28c0">ease8InOutQuad</a>( uint8_t i)</div>
<div class="line"><a name="l00573"></a><span class="lineno"> 573</span> {</div>
<div class="line"><a name="l00574"></a><span class="lineno"> 574</span>  uint8_t j = i;</div>
<div class="line"><a name="l00575"></a><span class="lineno"> 575</span>  <span class="keywordflow">if</span>( j & 0x80 ) {</div>
<div class="line"><a name="l00576"></a><span class="lineno"> 576</span>  j = 255 - j;</div>
<div class="line"><a name="l00577"></a><span class="lineno"> 577</span>  }</div>
<div class="line"><a name="l00578"></a><span class="lineno"> 578</span>  uint8_t jj = <a class="code" href="group___scaling.html#ga6c160f8c36ce9b3c5eda68e4992010af">scale8</a>( j, (j+1));</div>
<div class="line"><a name="l00579"></a><span class="lineno"> 579</span>  uint8_t jj2 = jj << 1;</div>
<div class="line"><a name="l00580"></a><span class="lineno"> 580</span>  <span class="keywordflow">if</span>( i & 0x80 ) {</div>
<div class="line"><a name="l00581"></a><span class="lineno"> 581</span>  jj2 = 255 - jj2;</div>
<div class="line"><a name="l00582"></a><span class="lineno"> 582</span>  }</div>
<div class="line"><a name="l00583"></a><span class="lineno"> 583</span>  <span class="keywordflow">return</span> jj2;</div>
<div class="line"><a name="l00584"></a><span class="lineno"> 584</span> }</div>
<div class="line"><a name="l00585"></a><span class="lineno"> 585</span> </div>
<div class="line"><a name="l00586"></a><span class="lineno"> 586</span> </div>
<div class="line"><a name="l00589"></a><span class="lineno"><a class="line" href="group__lib8tion.html#ga3fa6d71702477e71d7c0dd864eb1d568"> 589</a></span> LIB8STATIC <a class="code" href="group__lib8tion.html#ga5d6d013429a5b8a09d564d6137217644">fract8</a> <a class="code" href="group__lib8tion.html#ga3fa6d71702477e71d7c0dd864eb1d568">ease8InOutCubic</a>( <a class="code" href="group__lib8tion.html#ga5d6d013429a5b8a09d564d6137217644">fract8</a> i)</div>
<div class="line"><a name="l00590"></a><span class="lineno"> 590</span> {</div>
<div class="line"><a name="l00591"></a><span class="lineno"> 591</span>  uint8_t ii = <a class="code" href="group___scaling.html#ga39579fcf09743f15545fe0b831ca313c">scale8_LEAVING_R1_DIRTY</a>( i, i);</div>
<div class="line"><a name="l00592"></a><span class="lineno"> 592</span>  uint8_t iii = <a class="code" href="group___scaling.html#ga39579fcf09743f15545fe0b831ca313c">scale8_LEAVING_R1_DIRTY</a>( ii, i);</div>
<div class="line"><a name="l00593"></a><span class="lineno"> 593</span> </div>
<div class="line"><a name="l00594"></a><span class="lineno"> 594</span>  uint16_t r1 = (3 * (uint16_t)(ii)) - ( 2 * (uint16_t)(iii));</div>
<div class="line"><a name="l00595"></a><span class="lineno"> 595</span> </div>
<div class="line"><a name="l00596"></a><span class="lineno"> 596</span>  <span class="comment">/* the code generated for the above *'s automatically</span></div>
<div class="line"><a name="l00597"></a><span class="lineno"> 597</span> <span class="comment"> cleans up R1, so there's no need to explicitily call</span></div>
<div class="line"><a name="l00598"></a><span class="lineno"> 598</span> <span class="comment"> cleanup_R1(); */</span></div>
<div class="line"><a name="l00599"></a><span class="lineno"> 599</span> </div>
<div class="line"><a name="l00600"></a><span class="lineno"> 600</span>  uint8_t result = r1;</div>
<div class="line"><a name="l00601"></a><span class="lineno"> 601</span> </div>
<div class="line"><a name="l00602"></a><span class="lineno"> 602</span>  <span class="comment">// if we got "256", return 255:</span></div>
<div class="line"><a name="l00603"></a><span class="lineno"> 603</span>  <span class="keywordflow">if</span>( r1 & 0x100 ) {</div>
<div class="line"><a name="l00604"></a><span class="lineno"> 604</span>  result = 255;</div>
<div class="line"><a name="l00605"></a><span class="lineno"> 605</span>  }</div>
<div class="line"><a name="l00606"></a><span class="lineno"> 606</span>  <span class="keywordflow">return</span> result;</div>
<div class="line"><a name="l00607"></a><span class="lineno"> 607</span> }</div>
<div class="line"><a name="l00608"></a><span class="lineno"> 608</span> </div>
<div class="line"><a name="l00616"></a><span class="lineno"> 616</span> </div>
<div class="line"><a name="l00617"></a><span class="lineno"> 617</span> <span class="preprocessor">#if EASE8_C == 1</span></div>
<div class="line"><a name="l00618"></a><span class="lineno"><a class="line" href="group__lib8tion.html#gaa041cdbb17f073dbd352fcae6962dc23"> 618</a></span> LIB8STATIC <a class="code" href="group__lib8tion.html#ga5d6d013429a5b8a09d564d6137217644">fract8</a> <a class="code" href="group__lib8tion.html#gaa041cdbb17f073dbd352fcae6962dc23">ease8InOutApprox</a>( <a class="code" href="group__lib8tion.html#ga5d6d013429a5b8a09d564d6137217644">fract8</a> i)</div>
<div class="line"><a name="l00619"></a><span class="lineno"> 619</span> {</div>
<div class="line"><a name="l00620"></a><span class="lineno"> 620</span>  <span class="keywordflow">if</span>( i < 64) {</div>
<div class="line"><a name="l00621"></a><span class="lineno"> 621</span>  <span class="comment">// start with slope 0.5</span></div>
<div class="line"><a name="l00622"></a><span class="lineno"> 622</span>  i /= 2;</div>
<div class="line"><a name="l00623"></a><span class="lineno"> 623</span>  } <span class="keywordflow">else</span> <span class="keywordflow">if</span>( i > (255 - 64)) {</div>
<div class="line"><a name="l00624"></a><span class="lineno"> 624</span>  <span class="comment">// end with slope 0.5</span></div>
<div class="line"><a name="l00625"></a><span class="lineno"> 625</span>  i = 255 - i;</div>
<div class="line"><a name="l00626"></a><span class="lineno"> 626</span>  i /= 2;</div>
<div class="line"><a name="l00627"></a><span class="lineno"> 627</span>  i = 255 - i;</div>
<div class="line"><a name="l00628"></a><span class="lineno"> 628</span>  } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00629"></a><span class="lineno"> 629</span>  <span class="comment">// in the middle, use slope 192/128 = 1.5</span></div>
<div class="line"><a name="l00630"></a><span class="lineno"> 630</span>  i -= 64;</div>
<div class="line"><a name="l00631"></a><span class="lineno"> 631</span>  i += (i / 2);</div>
<div class="line"><a name="l00632"></a><span class="lineno"> 632</span>  i += 32;</div>
<div class="line"><a name="l00633"></a><span class="lineno"> 633</span>  }</div>
<div class="line"><a name="l00634"></a><span class="lineno"> 634</span> </div>
<div class="line"><a name="l00635"></a><span class="lineno"> 635</span>  <span class="keywordflow">return</span> i;</div>
<div class="line"><a name="l00636"></a><span class="lineno"> 636</span> }</div>
<div class="line"><a name="l00637"></a><span class="lineno"> 637</span> </div>
<div class="line"><a name="l00638"></a><span class="lineno"> 638</span> <span class="preprocessor">#elif EASE8_AVRASM == 1</span></div>
<div class="line"><a name="l00639"></a><span class="lineno"> 639</span> LIB8STATIC uint8_t <a class="code" href="group__lib8tion.html#gaa041cdbb17f073dbd352fcae6962dc23">ease8InOutApprox</a>( <a class="code" href="group__lib8tion.html#ga5d6d013429a5b8a09d564d6137217644">fract8</a> i)</div>
<div class="line"><a name="l00640"></a><span class="lineno"> 640</span> {</div>
<div class="line"><a name="l00641"></a><span class="lineno"> 641</span>  <span class="comment">// takes around 7 cycles on AVR</span></div>
<div class="line"><a name="l00642"></a><span class="lineno"> 642</span>  <span class="keyword">asm</span> <span class="keyword">volatile</span> (</div>
<div class="line"><a name="l00643"></a><span class="lineno"> 643</span>  <span class="stringliteral">" subi %[i], 64 \n\t"</span></div>
<div class="line"><a name="l00644"></a><span class="lineno"> 644</span>  <span class="stringliteral">" cpi %[i], 128 \n\t"</span></div>
<div class="line"><a name="l00645"></a><span class="lineno"> 645</span>  <span class="stringliteral">" brcc Lshift_%= \n\t"</span></div>
<div class="line"><a name="l00646"></a><span class="lineno"> 646</span> </div>
<div class="line"><a name="l00647"></a><span class="lineno"> 647</span>  <span class="comment">// middle case</span></div>
<div class="line"><a name="l00648"></a><span class="lineno"> 648</span>  <span class="stringliteral">" mov __tmp_reg__, %[i] \n\t"</span></div>
<div class="line"><a name="l00649"></a><span class="lineno"> 649</span>  <span class="stringliteral">" lsr __tmp_reg__ \n\t"</span></div>
<div class="line"><a name="l00650"></a><span class="lineno"> 650</span>  <span class="stringliteral">" add %[i], __tmp_reg__ \n\t"</span></div>
<div class="line"><a name="l00651"></a><span class="lineno"> 651</span>  <span class="stringliteral">" subi %[i], 224 \n\t"</span></div>
<div class="line"><a name="l00652"></a><span class="lineno"> 652</span>  <span class="stringliteral">" rjmp Ldone_%= \n\t"</span></div>
<div class="line"><a name="l00653"></a><span class="lineno"> 653</span> </div>
<div class="line"><a name="l00654"></a><span class="lineno"> 654</span>  <span class="comment">// start or end case</span></div>
<div class="line"><a name="l00655"></a><span class="lineno"> 655</span>  <span class="stringliteral">"Lshift_%=: \n\t"</span></div>
<div class="line"><a name="l00656"></a><span class="lineno"> 656</span>  <span class="stringliteral">" lsr %[i] \n\t"</span></div>
<div class="line"><a name="l00657"></a><span class="lineno"> 657</span>  <span class="stringliteral">" subi %[i], 96 \n\t"</span></div>
<div class="line"><a name="l00658"></a><span class="lineno"> 658</span> </div>
<div class="line"><a name="l00659"></a><span class="lineno"> 659</span>  <span class="stringliteral">"Ldone_%=: \n\t"</span></div>
<div class="line"><a name="l00660"></a><span class="lineno"> 660</span> </div>
<div class="line"><a name="l00661"></a><span class="lineno"> 661</span>  : [i] <span class="stringliteral">"+a"</span> (i)</div>
<div class="line"><a name="l00662"></a><span class="lineno"> 662</span>  :</div>
<div class="line"><a name="l00663"></a><span class="lineno"> 663</span>  : <span class="stringliteral">"r0"</span>, <span class="stringliteral">"r1"</span></div>
<div class="line"><a name="l00664"></a><span class="lineno"> 664</span>  );</div>
<div class="line"><a name="l00665"></a><span class="lineno"> 665</span>  <span class="keywordflow">return</span> i;</div>
<div class="line"><a name="l00666"></a><span class="lineno"> 666</span> }</div>
<div class="line"><a name="l00667"></a><span class="lineno"> 667</span> <span class="preprocessor">#else</span></div>
<div class="line"><a name="l00668"></a><span class="lineno"> 668</span> <span class="preprocessor">#error "No implementation for ease8 available."</span></div>
<div class="line"><a name="l00669"></a><span class="lineno"> 669</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00670"></a><span class="lineno"> 670</span> </div>
<div class="line"><a name="l00671"></a><span class="lineno"> 671</span> </div>
<div class="line"><a name="l00672"></a><span class="lineno"> 672</span> </div>
<div class="line"><a name="l00683"></a><span class="lineno"><a class="line" href="group__lib8tion.html#gae9e011ff745ade1164ae77b0ef62bfac"> 683</a></span> LIB8STATIC uint8_t <a class="code" href="group__lib8tion.html#gae9e011ff745ade1164ae77b0ef62bfac">triwave8</a>(uint8_t in)</div>
<div class="line"><a name="l00684"></a><span class="lineno"> 684</span> {</div>
<div class="line"><a name="l00685"></a><span class="lineno"> 685</span>  <span class="keywordflow">if</span>( in & 0x80) {</div>
<div class="line"><a name="l00686"></a><span class="lineno"> 686</span>  in = 255 - in;</div>
<div class="line"><a name="l00687"></a><span class="lineno"> 687</span>  }</div>
<div class="line"><a name="l00688"></a><span class="lineno"> 688</span>  uint8_t out = in << 1;</div>
<div class="line"><a name="l00689"></a><span class="lineno"> 689</span>  <span class="keywordflow">return</span> out;</div>
<div class="line"><a name="l00690"></a><span class="lineno"> 690</span> }</div>
<div class="line"><a name="l00691"></a><span class="lineno"> 691</span> </div>
<div class="line"><a name="l00692"></a><span class="lineno"> 692</span> </div>
<div class="line"><a name="l00693"></a><span class="lineno"> 693</span> <span class="comment">// quadwave8 and cubicwave8: S-shaped wave generators (like 'sine').</span></div>
<div class="line"><a name="l00694"></a><span class="lineno"> 694</span> <span class="comment">// Useful for turning a one-byte 'counter' value into a</span></div>
<div class="line"><a name="l00695"></a><span class="lineno"> 695</span> <span class="comment">// one-byte oscillating value that moves smoothly up and down,</span></div>
<div class="line"><a name="l00696"></a><span class="lineno"> 696</span> <span class="comment">// with an 'acceleration' and 'deceleration' curve.</span></div>
<div class="line"><a name="l00697"></a><span class="lineno"> 697</span> <span class="comment">//</span></div>
<div class="line"><a name="l00698"></a><span class="lineno"> 698</span> <span class="comment">// These are even faster than 'sin8', and have</span></div>
<div class="line"><a name="l00699"></a><span class="lineno"> 699</span> <span class="comment">// slightly different curve shapes.</span></div>
<div class="line"><a name="l00700"></a><span class="lineno"> 700</span> <span class="comment">//</span></div>
<div class="line"><a name="l00701"></a><span class="lineno"> 701</span> </div>
<div class="line"><a name="l00704"></a><span class="lineno"><a class="line" href="group__lib8tion.html#ga209d6cbdb109cc3139e7bb1e46c6228f"> 704</a></span> LIB8STATIC uint8_t <a class="code" href="group__lib8tion.html#ga209d6cbdb109cc3139e7bb1e46c6228f">quadwave8</a>(uint8_t in)</div>
<div class="line"><a name="l00705"></a><span class="lineno"> 705</span> {</div>
<div class="line"><a name="l00706"></a><span class="lineno"> 706</span>  <span class="keywordflow">return</span> <a class="code" href="group__lib8tion.html#ga381449070b2d6bfba356f87881ab28c0">ease8InOutQuad</a>( <a class="code" href="group__lib8tion.html#gae9e011ff745ade1164ae77b0ef62bfac">triwave8</a>( in));</div>
<div class="line"><a name="l00707"></a><span class="lineno"> 707</span> }</div>
<div class="line"><a name="l00708"></a><span class="lineno"> 708</span> </div>
<div class="line"><a name="l00711"></a><span class="lineno"><a class="line" href="group__lib8tion.html#ga06b04a0cf955ec107d49b76e0cb35225"> 711</a></span> LIB8STATIC uint8_t <a class="code" href="group__lib8tion.html#ga06b04a0cf955ec107d49b76e0cb35225">cubicwave8</a>(uint8_t in)</div>
<div class="line"><a name="l00712"></a><span class="lineno"> 712</span> {</div>
<div class="line"><a name="l00713"></a><span class="lineno"> 713</span>  <span class="keywordflow">return</span> <a class="code" href="group__lib8tion.html#ga3fa6d71702477e71d7c0dd864eb1d568">ease8InOutCubic</a>( <a class="code" href="group__lib8tion.html#gae9e011ff745ade1164ae77b0ef62bfac">triwave8</a>( in));</div>
<div class="line"><a name="l00714"></a><span class="lineno"> 714</span> }</div>
<div class="line"><a name="l00715"></a><span class="lineno"> 715</span> </div>
<div class="line"><a name="l00740"></a><span class="lineno"><a class="line" href="group__lib8tion.html#ga17ae8fcfd9c485bb1120d908f836637a"> 740</a></span> LIB8STATIC uint8_t <a class="code" href="group__lib8tion.html#ga17ae8fcfd9c485bb1120d908f836637a">squarewave8</a>( uint8_t in, uint8_t pulsewidth=128)</div>
<div class="line"><a name="l00741"></a><span class="lineno"> 741</span> {</div>
<div class="line"><a name="l00742"></a><span class="lineno"> 742</span>  <span class="keywordflow">if</span>( in < pulsewidth || (pulsewidth == 255)) {</div>
<div class="line"><a name="l00743"></a><span class="lineno"> 743</span>  <span class="keywordflow">return</span> 255;</div>
<div class="line"><a name="l00744"></a><span class="lineno"> 744</span>  } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00745"></a><span class="lineno"> 745</span>  <span class="keywordflow">return</span> 0;</div>
<div class="line"><a name="l00746"></a><span class="lineno"> 746</span>  }</div>
<div class="line"><a name="l00747"></a><span class="lineno"> 747</span> }</div>
<div class="line"><a name="l00748"></a><span class="lineno"> 748</span> </div>
<div class="line"><a name="l00749"></a><span class="lineno"> 749</span> </div>
<div class="line"><a name="l00750"></a><span class="lineno"> 750</span> </div>
<div class="line"><a name="l00751"></a><span class="lineno"> 751</span> </div>
<div class="line"><a name="l00753"></a><span class="lineno"><a class="line" href="classq.html"> 753</a></span> <span class="keyword">template</span><<span class="keyword">class</span> T, <span class="keywordtype">int</span> F, <span class="keywordtype">int</span> I> <span class="keyword">class </span><a class="code" href="classq.html">q</a> {</div>
<div class="line"><a name="l00754"></a><span class="lineno"> 754</span>  T i:I;</div>
<div class="line"><a name="l00755"></a><span class="lineno"> 755</span>  T f:F;</div>
<div class="line"><a name="l00756"></a><span class="lineno"> 756</span> <span class="keyword">public</span>:</div>
<div class="line"><a name="l00757"></a><span class="lineno"> 757</span>  <a class="code" href="classq.html">q</a>(<span class="keywordtype">float</span> fx) { i = fx; f = (fx-i) * (1<<F); }</div>
<div class="line"><a name="l00758"></a><span class="lineno"> 758</span>  <a class="code" href="classq.html">q</a>(uint8_t _i, uint8_t _f) {i=_i; f=_f; }</div>
<div class="line"><a name="l00759"></a><span class="lineno"> 759</span>  uint32_t operator*(uint32_t v) { <span class="keywordflow">return</span> (v*i) + ((v*f)>>F); }</div>
<div class="line"><a name="l00760"></a><span class="lineno"> 760</span>  uint16_t operator*(uint16_t v) { <span class="keywordflow">return</span> (v*i) + ((v*f)>>F); }</div>
<div class="line"><a name="l00761"></a><span class="lineno"> 761</span>  int32_t operator*(int32_t v) { <span class="keywordflow">return</span> (v*i) + ((v*f)>>F); }</div>
<div class="line"><a name="l00762"></a><span class="lineno"> 762</span>  int16_t operator*(int16_t v) { <span class="keywordflow">return</span> (v*i) + ((v*f)>>F); }</div>
<div class="line"><a name="l00763"></a><span class="lineno"> 763</span> <span class="preprocessor">#ifdef FASTLED_ARM</span></div>
<div class="line"><a name="l00764"></a><span class="lineno"> 764</span>  <span class="keywordtype">int</span> operator*(<span class="keywordtype">int</span> v) { <span class="keywordflow">return</span> (v*i) + ((v*f)>>F); }</div>
<div class="line"><a name="l00765"></a><span class="lineno"> 765</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00766"></a><span class="lineno"> 766</span> };</div>
<div class="line"><a name="l00767"></a><span class="lineno"> 767</span> </div>
<div class="line"><a name="l00768"></a><span class="lineno"> 768</span> <span class="keyword">template</span><<span class="keyword">class</span> T, <span class="keywordtype">int</span> F, <span class="keywordtype">int</span> I> <span class="keyword">static</span> uint32_t operator*(uint32_t v, <a class="code" href="classq.html">q<T,F,I></a> & <a class="code" href="classq.html">q</a>) { <span class="keywordflow">return</span> q * v; }</div>
<div class="line"><a name="l00769"></a><span class="lineno"> 769</span> <span class="keyword">template</span><<span class="keyword">class</span> T, <span class="keywordtype">int</span> F, <span class="keywordtype">int</span> I> <span class="keyword">static</span> uint16_t operator*(uint16_t v, <a class="code" href="classq.html">q<T,F,I></a> & <a class="code" href="classq.html">q</a>) { <span class="keywordflow">return</span> q * v; }</div>
<div class="line"><a name="l00770"></a><span class="lineno"> 770</span> <span class="keyword">template</span><<span class="keyword">class</span> T, <span class="keywordtype">int</span> F, <span class="keywordtype">int</span> I> <span class="keyword">static</span> int32_t operator*(int32_t v, <a class="code" href="classq.html">q<T,F,I></a> & <a class="code" href="classq.html">q</a>) { <span class="keywordflow">return</span> q * v; }</div>
<div class="line"><a name="l00771"></a><span class="lineno"> 771</span> <span class="keyword">template</span><<span class="keyword">class</span> T, <span class="keywordtype">int</span> F, <span class="keywordtype">int</span> I> <span class="keyword">static</span> int16_t operator*(int16_t v, <a class="code" href="classq.html">q<T,F,I></a> & <a class="code" href="classq.html">q</a>) { <span class="keywordflow">return</span> q * v; }</div>
<div class="line"><a name="l00772"></a><span class="lineno"> 772</span> <span class="preprocessor">#ifdef FASTLED_ARM</span></div>
<div class="line"><a name="l00773"></a><span class="lineno"> 773</span> <span class="keyword">template</span><<span class="keyword">class</span> T, <span class="keywordtype">int</span> F, <span class="keywordtype">int</span> I> <span class="keyword">static</span> <span class="keywordtype">int</span> operator*(<span class="keywordtype">int</span> v, <a class="code" href="classq.html">q<T,F,I></a> & <a class="code" href="classq.html">q</a>) { <span class="keywordflow">return</span> q * v; }</div>
<div class="line"><a name="l00774"></a><span class="lineno"> 774</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00775"></a><span class="lineno"> 775</span> </div>
<div class="line"><a name="l00777"></a><span class="lineno"><a class="line" href="group__lib8tion.html#ga85082c3ed8843d32076222e82d72f80d"> 777</a></span> <span class="keyword">typedef</span> <a class="code" href="classq.html">q<uint8_t, 4,4></a> <a class="code" href="group__lib8tion.html#ga85082c3ed8843d32076222e82d72f80d">q44</a>;</div>
<div class="line"><a name="l00779"></a><span class="lineno"><a class="line" href="group__lib8tion.html#gafea4166e233d92817eada7203021089a"> 779</a></span> <span class="keyword">typedef</span> <a class="code" href="classq.html">q<uint8_t, 6,2></a> <a class="code" href="group__lib8tion.html#gafea4166e233d92817eada7203021089a">q62</a>;</div>
<div class="line"><a name="l00781"></a><span class="lineno"><a class="line" href="group__lib8tion.html#gad5dca0e1248b916799dde6dc44ef369b"> 781</a></span> <span class="keyword">typedef</span> <a class="code" href="classq.html">q<uint16_t, 8,8></a> <a class="code" href="group__lib8tion.html#gad5dca0e1248b916799dde6dc44ef369b">q88</a>;</div>
<div class="line"><a name="l00783"></a><span class="lineno"><a class="line" href="group__lib8tion.html#ga0f02a1da674754f48c5f89c1610e118c"> 783</a></span> <span class="keyword">typedef</span> <a class="code" href="classq.html">q<uint16_t, 12,4></a> <a class="code" href="group__lib8tion.html#ga0f02a1da674754f48c5f89c1610e118c">q124</a>;</div>
<div class="line"><a name="l00784"></a><span class="lineno"> 784</span> </div>
<div class="line"><a name="l00785"></a><span class="lineno"> 785</span> </div>
<div class="line"><a name="l00786"></a><span class="lineno"> 786</span> </div>
<div class="line"><a name="l00787"></a><span class="lineno"> 787</span> <span class="comment">// Beat generators - These functions produce waves at a given</span></div>
<div class="line"><a name="l00788"></a><span class="lineno"> 788</span> <span class="comment">// number of 'beats per minute'. Internally, they use</span></div>
<div class="line"><a name="l00789"></a><span class="lineno"> 789</span> <span class="comment">// the Arduino function 'millis' to track elapsed time.</span></div>
<div class="line"><a name="l00790"></a><span class="lineno"> 790</span> <span class="comment">// Accuracy is a bit better than one part in a thousand.</span></div>
<div class="line"><a name="l00791"></a><span class="lineno"> 791</span> <span class="comment">//</span></div>
<div class="line"><a name="l00792"></a><span class="lineno"> 792</span> <span class="comment">// beat8( BPM ) returns an 8-bit value that cycles 'BPM' times</span></div>
<div class="line"><a name="l00793"></a><span class="lineno"> 793</span> <span class="comment">// per minute, rising from 0 to 255, resetting to zero,</span></div>
<div class="line"><a name="l00794"></a><span class="lineno"> 794</span> <span class="comment">// rising up again, etc.. The output of this function</span></div>
<div class="line"><a name="l00795"></a><span class="lineno"> 795</span> <span class="comment">// is suitable for feeding directly into sin8, and cos8,</span></div>
<div class="line"><a name="l00796"></a><span class="lineno"> 796</span> <span class="comment">// triwave8, quadwave8, and cubicwave8.</span></div>
<div class="line"><a name="l00797"></a><span class="lineno"> 797</span> <span class="comment">// beat16( BPM ) returns a 16-bit value that cycles 'BPM' times</span></div>
<div class="line"><a name="l00798"></a><span class="lineno"> 798</span> <span class="comment">// per minute, rising from 0 to 65535, resetting to zero,</span></div>
<div class="line"><a name="l00799"></a><span class="lineno"> 799</span> <span class="comment">// rising up again, etc. The output of this function is</span></div>
<div class="line"><a name="l00800"></a><span class="lineno"> 800</span> <span class="comment">// suitable for feeding directly into sin16 and cos16.</span></div>
<div class="line"><a name="l00801"></a><span class="lineno"> 801</span> <span class="comment">// beat88( BPM88) is the same as beat16, except that the BPM88 argument</span></div>
<div class="line"><a name="l00802"></a><span class="lineno"> 802</span> <span class="comment">// MUST be in Q8.8 fixed point format, e.g. 120BPM must</span></div>
<div class="line"><a name="l00803"></a><span class="lineno"> 803</span> <span class="comment">// be specified as 120*256 = 30720.</span></div>
<div class="line"><a name="l00804"></a><span class="lineno"> 804</span> <span class="comment">// beatsin8( BPM, uint8_t low, uint8_t high) returns an 8-bit value that</span></div>
<div class="line"><a name="l00805"></a><span class="lineno"> 805</span> <span class="comment">// rises and falls in a sine wave, 'BPM' times per minute,</span></div>
<div class="line"><a name="l00806"></a><span class="lineno"> 806</span> <span class="comment">// between the values of 'low' and 'high'.</span></div>
<div class="line"><a name="l00807"></a><span class="lineno"> 807</span> <span class="comment">// beatsin16( BPM, uint16_t low, uint16_t high) returns a 16-bit value</span></div>
<div class="line"><a name="l00808"></a><span class="lineno"> 808</span> <span class="comment">// that rises and falls in a sine wave, 'BPM' times per</span></div>
<div class="line"><a name="l00809"></a><span class="lineno"> 809</span> <span class="comment">// minute, between the values of 'low' and 'high'.</span></div>
<div class="line"><a name="l00810"></a><span class="lineno"> 810</span> <span class="comment">// beatsin88( BPM88, ...) is the same as beatsin16, except that the</span></div>
<div class="line"><a name="l00811"></a><span class="lineno"> 811</span> <span class="comment">// BPM88 argument MUST be in Q8.8 fixed point format,</span></div>
<div class="line"><a name="l00812"></a><span class="lineno"> 812</span> <span class="comment">// e.g. 120BPM must be specified as 120*256 = 30720.</span></div>
<div class="line"><a name="l00813"></a><span class="lineno"> 813</span> <span class="comment">//</span></div>
<div class="line"><a name="l00814"></a><span class="lineno"> 814</span> <span class="comment">// BPM can be supplied two ways. The simpler way of specifying BPM is as</span></div>
<div class="line"><a name="l00815"></a><span class="lineno"> 815</span> <span class="comment">// a simple 8-bit integer from 1-255, (e.g., "120").</span></div>
<div class="line"><a name="l00816"></a><span class="lineno"> 816</span> <span class="comment">// The more sophisticated way of specifying BPM allows for fractional</span></div>
<div class="line"><a name="l00817"></a><span class="lineno"> 817</span> <span class="comment">// "Q8.8" fixed point number (an 'accum88') with an 8-bit integer part and</span></div>
<div class="line"><a name="l00818"></a><span class="lineno"> 818</span> <span class="comment">// an 8-bit fractional part. The easiest way to construct this is to multiply</span></div>
<div class="line"><a name="l00819"></a><span class="lineno"> 819</span> <span class="comment">// a floating point BPM value (e.g. 120.3) by 256, (e.g. resulting in 30796</span></div>
<div class="line"><a name="l00820"></a><span class="lineno"> 820</span> <span class="comment">// in this case), and pass that as the 16-bit BPM argument.</span></div>
<div class="line"><a name="l00821"></a><span class="lineno"> 821</span> <span class="comment">// "BPM88" MUST always be specified in Q8.8 format.</span></div>
<div class="line"><a name="l00822"></a><span class="lineno"> 822</span> <span class="comment">//</span></div>
<div class="line"><a name="l00823"></a><span class="lineno"> 823</span> <span class="comment">// Originally designed to make an entire animation project pulse with brightness.</span></div>
<div class="line"><a name="l00824"></a><span class="lineno"> 824</span> <span class="comment">// For that effect, add this line just above your existing call to "FastLED.show()":</span></div>
<div class="line"><a name="l00825"></a><span class="lineno"> 825</span> <span class="comment">//</span></div>
<div class="line"><a name="l00826"></a><span class="lineno"> 826</span> <span class="comment">// uint8_t bright = beatsin8( 60 /*BPM*/, 192 /*dimmest*/, 255 /*brightest*/ ));</span></div>
<div class="line"><a name="l00827"></a><span class="lineno"> 827</span> <span class="comment">// FastLED.setBrightness( bright );</span></div>
<div class="line"><a name="l00828"></a><span class="lineno"> 828</span> <span class="comment">// FastLED.show();</span></div>
<div class="line"><a name="l00829"></a><span class="lineno"> 829</span> <span class="comment">//</span></div>
<div class="line"><a name="l00830"></a><span class="lineno"> 830</span> <span class="comment">// The entire animation will now pulse between brightness 192 and 255 once per second.</span></div>
<div class="line"><a name="l00831"></a><span class="lineno"> 831</span> </div>
<div class="line"><a name="l00832"></a><span class="lineno"> 832</span> </div>
<div class="line"><a name="l00833"></a><span class="lineno"> 833</span> <span class="comment">// The beat generators need access to a millisecond counter.</span></div>
<div class="line"><a name="l00834"></a><span class="lineno"> 834</span> <span class="comment">// On Arduino, this is "millis()". On other platforms, you'll</span></div>
<div class="line"><a name="l00835"></a><span class="lineno"> 835</span> <span class="comment">// need to provide a function with this signature:</span></div>
<div class="line"><a name="l00836"></a><span class="lineno"> 836</span> <span class="comment">// uint32_t get_millisecond_timer();</span></div>
<div class="line"><a name="l00837"></a><span class="lineno"> 837</span> <span class="comment">// that provides similar functionality.</span></div>
<div class="line"><a name="l00838"></a><span class="lineno"> 838</span> <span class="comment">// You can also force use of the get_millisecond_timer function</span></div>
<div class="line"><a name="l00839"></a><span class="lineno"> 839</span> <span class="comment">// by #defining USE_GET_MILLISECOND_TIMER.</span></div>
<div class="line"><a name="l00840"></a><span class="lineno"> 840</span> <span class="preprocessor">#if (defined(ARDUINO) || defined(SPARK) || defined(FASTLED_HAS_MILLIS)) && !defined(USE_GET_MILLISECOND_TIMER)</span></div>
<div class="line"><a name="l00841"></a><span class="lineno"> 841</span> <span class="comment">// Forward declaration of Arduino function 'millis'.</span></div>
<div class="line"><a name="l00842"></a><span class="lineno"> 842</span> <span class="comment">//uint32_t millis();</span></div>
<div class="line"><a name="l00843"></a><span class="lineno"> 843</span> <span class="preprocessor">#define GET_MILLIS millis</span></div>
<div class="line"><a name="l00844"></a><span class="lineno"> 844</span> <span class="preprocessor">#else</span></div>
<div class="line"><a name="l00845"></a><span class="lineno"> 845</span> uint32_t get_millisecond_timer();</div>
<div class="line"><a name="l00846"></a><span class="lineno"> 846</span> <span class="preprocessor">#define GET_MILLIS get_millisecond_timer</span></div>
<div class="line"><a name="l00847"></a><span class="lineno"> 847</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00848"></a><span class="lineno"> 848</span> </div>
<div class="line"><a name="l00849"></a><span class="lineno"> 849</span> <span class="comment">// beat16 generates a 16-bit 'sawtooth' wave at a given BPM,</span></div>
<div class="line"><a name="l00854"></a><span class="lineno"><a class="line" href="group__lib8tion.html#ga1b48fc520db5f40910caf79974992395"> 854</a></span> <span class="comment"></span>LIB8STATIC uint16_t <a class="code" href="group__lib8tion.html#ga1b48fc520db5f40910caf79974992395">beat88</a>( <a class="code" href="group__lib8tion.html#ga397f872082dbd788e04e8c6e443e563a">accum88</a> beats_per_minute_88, uint32_t timebase = 0)</div>
<div class="line"><a name="l00855"></a><span class="lineno"> 855</span> {</div>
<div class="line"><a name="l00856"></a><span class="lineno"> 856</span>  <span class="comment">// BPM is 'beats per minute', or 'beats per 60000ms'.</span></div>
<div class="line"><a name="l00857"></a><span class="lineno"> 857</span>  <span class="comment">// To avoid using the (slower) division operator, we</span></div>
<div class="line"><a name="l00858"></a><span class="lineno"> 858</span>  <span class="comment">// want to convert 'beats per 60000ms' to 'beats per 65536ms',</span></div>
<div class="line"><a name="l00859"></a><span class="lineno"> 859</span>  <span class="comment">// and then use a simple, fast bit-shift to divide by 65536.</span></div>
<div class="line"><a name="l00860"></a><span class="lineno"> 860</span>  <span class="comment">//</span></div>
<div class="line"><a name="l00861"></a><span class="lineno"> 861</span>  <span class="comment">// The ratio 65536:60000 is 279.620266667:256; we'll call it 280:256.</span></div>
<div class="line"><a name="l00862"></a><span class="lineno"> 862</span>  <span class="comment">// The conversion is accurate to about 0.05%, more or less,</span></div>
<div class="line"><a name="l00863"></a><span class="lineno"> 863</span>  <span class="comment">// e.g. if you ask for "120 BPM", you'll get about "119.93".</span></div>
<div class="line"><a name="l00864"></a><span class="lineno"> 864</span>  <span class="keywordflow">return</span> (((GET_MILLIS()) - timebase) * beats_per_minute_88 * 280) >> 16;</div>
<div class="line"><a name="l00865"></a><span class="lineno"> 865</span> }</div>
<div class="line"><a name="l00866"></a><span class="lineno"> 866</span> </div>
<div class="line"><a name="l00868"></a><span class="lineno"><a class="line" href="group__lib8tion.html#gade6acbf6fd3c9d346148bccfcafb2fe2"> 868</a></span> LIB8STATIC uint16_t <a class="code" href="group__lib8tion.html#gade6acbf6fd3c9d346148bccfcafb2fe2">beat16</a>( <a class="code" href="group__lib8tion.html#ga397f872082dbd788e04e8c6e443e563a">accum88</a> beats_per_minute, uint32_t timebase = 0)</div>
<div class="line"><a name="l00869"></a><span class="lineno"> 869</span> {</div>
<div class="line"><a name="l00870"></a><span class="lineno"> 870</span>  <span class="comment">// Convert simple 8-bit BPM's to full Q8.8 accum88's if needed</span></div>
<div class="line"><a name="l00871"></a><span class="lineno"> 871</span>  <span class="keywordflow">if</span>( beats_per_minute < 256) beats_per_minute <<= 8;</div>
<div class="line"><a name="l00872"></a><span class="lineno"> 872</span>  <span class="keywordflow">return</span> <a class="code" href="group__lib8tion.html#ga1b48fc520db5f40910caf79974992395">beat88</a>(beats_per_minute, timebase);</div>
<div class="line"><a name="l00873"></a><span class="lineno"> 873</span> }</div>
<div class="line"><a name="l00874"></a><span class="lineno"> 874</span> </div>
<div class="line"><a name="l00876"></a><span class="lineno"><a class="line" href="group__lib8tion.html#ga12014943214a72eec31433d9682d4ebe"> 876</a></span> LIB8STATIC uint8_t <a class="code" href="group__lib8tion.html#ga12014943214a72eec31433d9682d4ebe">beat8</a>( <a class="code" href="group__lib8tion.html#ga397f872082dbd788e04e8c6e443e563a">accum88</a> beats_per_minute, uint32_t timebase = 0)</div>
<div class="line"><a name="l00877"></a><span class="lineno"> 877</span> {</div>
<div class="line"><a name="l00878"></a><span class="lineno"> 878</span>  <span class="keywordflow">return</span> <a class="code" href="group__lib8tion.html#gade6acbf6fd3c9d346148bccfcafb2fe2">beat16</a>( beats_per_minute, timebase) >> 8;</div>
<div class="line"><a name="l00879"></a><span class="lineno"> 879</span> }</div>
<div class="line"><a name="l00880"></a><span class="lineno"> 880</span> </div>
<div class="line"><a name="l00887"></a><span class="lineno"><a class="line" href="group__lib8tion.html#gaf917825ff26c8e1174c5b674a2f3c631"> 887</a></span> LIB8STATIC uint16_t <a class="code" href="group__lib8tion.html#gaf917825ff26c8e1174c5b674a2f3c631">beatsin88</a>( <a class="code" href="group__lib8tion.html#ga397f872082dbd788e04e8c6e443e563a">accum88</a> beats_per_minute_88, uint16_t lowest = 0, uint16_t highest = 65535,</div>
<div class="line"><a name="l00888"></a><span class="lineno"> 888</span>  uint32_t timebase = 0, uint16_t phase_offset = 0)</div>
<div class="line"><a name="l00889"></a><span class="lineno"> 889</span> {</div>
<div class="line"><a name="l00890"></a><span class="lineno"> 890</span>  uint16_t beat = <a class="code" href="group__lib8tion.html#ga1b48fc520db5f40910caf79974992395">beat88</a>( beats_per_minute_88, timebase);</div>
<div class="line"><a name="l00891"></a><span class="lineno"> 891</span>  uint16_t beatsin = (sin16( beat + phase_offset) + 32768);</div>
<div class="line"><a name="l00892"></a><span class="lineno"> 892</span>  uint16_t rangewidth = highest - lowest;</div>
<div class="line"><a name="l00893"></a><span class="lineno"> 893</span>  uint16_t scaledbeat = <a class="code" href="group___scaling.html#ga1ff8ac00ad78e22acc7bb7445bfdb145">scale16</a>( beatsin, rangewidth);</div>
<div class="line"><a name="l00894"></a><span class="lineno"> 894</span>  uint16_t result = lowest + scaledbeat;</div>
<div class="line"><a name="l00895"></a><span class="lineno"> 895</span>  <span class="keywordflow">return</span> result;</div>
<div class="line"><a name="l00896"></a><span class="lineno"> 896</span> }</div>
<div class="line"><a name="l00897"></a><span class="lineno"> 897</span> </div>
<div class="line"><a name="l00900"></a><span class="lineno"><a class="line" href="group__lib8tion.html#gaa46e5de1c4c27833359e7a97a18c839b"> 900</a></span> LIB8STATIC uint16_t <a class="code" href="group__lib8tion.html#gaa46e5de1c4c27833359e7a97a18c839b">beatsin16</a>( <a class="code" href="group__lib8tion.html#ga397f872082dbd788e04e8c6e443e563a">accum88</a> beats_per_minute, uint16_t lowest = 0, uint16_t highest = 65535,</div>
<div class="line"><a name="l00901"></a><span class="lineno"> 901</span>  uint32_t timebase = 0, uint16_t phase_offset = 0)</div>
<div class="line"><a name="l00902"></a><span class="lineno"> 902</span> {</div>
<div class="line"><a name="l00903"></a><span class="lineno"> 903</span>  uint16_t beat = <a class="code" href="group__lib8tion.html#gade6acbf6fd3c9d346148bccfcafb2fe2">beat16</a>( beats_per_minute, timebase);</div>
<div class="line"><a name="l00904"></a><span class="lineno"> 904</span>  uint16_t beatsin = (sin16( beat + phase_offset) + 32768);</div>
<div class="line"><a name="l00905"></a><span class="lineno"> 905</span>  uint16_t rangewidth = highest - lowest;</div>
<div class="line"><a name="l00906"></a><span class="lineno"> 906</span>  uint16_t scaledbeat = <a class="code" href="group___scaling.html#ga1ff8ac00ad78e22acc7bb7445bfdb145">scale16</a>( beatsin, rangewidth);</div>
<div class="line"><a name="l00907"></a><span class="lineno"> 907</span>  uint16_t result = lowest + scaledbeat;</div>
<div class="line"><a name="l00908"></a><span class="lineno"> 908</span>  <span class="keywordflow">return</span> result;</div>
<div class="line"><a name="l00909"></a><span class="lineno"> 909</span> }</div>
<div class="line"><a name="l00910"></a><span class="lineno"> 910</span> </div>
<div class="line"><a name="l00913"></a><span class="lineno"><a class="line" href="group__lib8tion.html#gaecd7cbfc2640407cabf75afcc7d9ddf4"> 913</a></span> LIB8STATIC uint8_t <a class="code" href="group__lib8tion.html#gaecd7cbfc2640407cabf75afcc7d9ddf4">beatsin8</a>( <a class="code" href="group__lib8tion.html#ga397f872082dbd788e04e8c6e443e563a">accum88</a> beats_per_minute, uint8_t lowest = 0, uint8_t highest = 255,</div>
<div class="line"><a name="l00914"></a><span class="lineno"> 914</span>  uint32_t timebase = 0, uint8_t phase_offset = 0)</div>
<div class="line"><a name="l00915"></a><span class="lineno"> 915</span> {</div>
<div class="line"><a name="l00916"></a><span class="lineno"> 916</span>  uint8_t beat = <a class="code" href="group__lib8tion.html#ga12014943214a72eec31433d9682d4ebe">beat8</a>( beats_per_minute, timebase);</div>
<div class="line"><a name="l00917"></a><span class="lineno"> 917</span>  uint8_t beatsin = sin8( beat + phase_offset);</div>
<div class="line"><a name="l00918"></a><span class="lineno"> 918</span>  uint8_t rangewidth = highest - lowest;</div>
<div class="line"><a name="l00919"></a><span class="lineno"> 919</span>  uint8_t scaledbeat = <a class="code" href="group___scaling.html#ga6c160f8c36ce9b3c5eda68e4992010af">scale8</a>( beatsin, rangewidth);</div>
<div class="line"><a name="l00920"></a><span class="lineno"> 920</span>  uint8_t result = lowest + scaledbeat;</div>
<div class="line"><a name="l00921"></a><span class="lineno"> 921</span>  <span class="keywordflow">return</span> result;</div>
<div class="line"><a name="l00922"></a><span class="lineno"> 922</span> }</div>
<div class="line"><a name="l00923"></a><span class="lineno"> 923</span> </div>
<div class="line"><a name="l00924"></a><span class="lineno"> 924</span> </div>
<div class="line"><a name="l00927"></a><span class="lineno"><a class="line" href="group__lib8tion.html#gaa2abcee2fe76fafd7f3a2aeab03e3b69"> 927</a></span> LIB8STATIC uint16_t <a class="code" href="group__lib8tion.html#gaa2abcee2fe76fafd7f3a2aeab03e3b69">seconds16</a>()</div>
<div class="line"><a name="l00928"></a><span class="lineno"> 928</span> {</div>
<div class="line"><a name="l00929"></a><span class="lineno"> 929</span>  uint32_t ms = GET_MILLIS();</div>
<div class="line"><a name="l00930"></a><span class="lineno"> 930</span>  uint16_t s16;</div>
<div class="line"><a name="l00931"></a><span class="lineno"> 931</span>  s16 = ms / 1000;</div>
<div class="line"><a name="l00932"></a><span class="lineno"> 932</span>  <span class="keywordflow">return</span> s16;</div>
<div class="line"><a name="l00933"></a><span class="lineno"> 933</span> }</div>
<div class="line"><a name="l00934"></a><span class="lineno"> 934</span> </div>
<div class="line"><a name="l00937"></a><span class="lineno"><a class="line" href="group__lib8tion.html#ga223820399921e32ddf018a90223ff336"> 937</a></span> LIB8STATIC uint16_t <a class="code" href="group__lib8tion.html#ga223820399921e32ddf018a90223ff336">minutes16</a>()</div>
<div class="line"><a name="l00938"></a><span class="lineno"> 938</span> {</div>
<div class="line"><a name="l00939"></a><span class="lineno"> 939</span>  uint32_t ms = GET_MILLIS();</div>
<div class="line"><a name="l00940"></a><span class="lineno"> 940</span>  uint16_t m16;</div>
<div class="line"><a name="l00941"></a><span class="lineno"> 941</span>  m16 = (ms / (60000L)) & 0xFFFF;</div>
<div class="line"><a name="l00942"></a><span class="lineno"> 942</span>  <span class="keywordflow">return</span> m16;</div>
<div class="line"><a name="l00943"></a><span class="lineno"> 943</span> }</div>
<div class="line"><a name="l00944"></a><span class="lineno"> 944</span> </div>
<div class="line"><a name="l00947"></a><span class="lineno"><a class="line" href="group__lib8tion.html#ga837f5a688998f3340994613944e47d41"> 947</a></span> LIB8STATIC uint8_t <a class="code" href="group__lib8tion.html#ga837f5a688998f3340994613944e47d41">hours8</a>()</div>
<div class="line"><a name="l00948"></a><span class="lineno"> 948</span> {</div>
<div class="line"><a name="l00949"></a><span class="lineno"> 949</span>  uint32_t ms = GET_MILLIS();</div>
<div class="line"><a name="l00950"></a><span class="lineno"> 950</span>  uint8_t h8;</div>
<div class="line"><a name="l00951"></a><span class="lineno"> 951</span>  h8 = (ms / (3600000L)) & 0xFF;</div>
<div class="line"><a name="l00952"></a><span class="lineno"> 952</span>  <span class="keywordflow">return</span> h8;</div>
<div class="line"><a name="l00953"></a><span class="lineno"> 953</span> }</div>
<div class="line"><a name="l00954"></a><span class="lineno"> 954</span> </div>
<div class="line"><a name="l00955"></a><span class="lineno"> 955</span> </div>
<div class="line"><a name="l00966"></a><span class="lineno"><a class="line" href="group__lib8tion.html#ga5f95d6e55b4986bd88f662528cef717e"> 966</a></span> LIB8STATIC uint16_t <a class="code" href="group__lib8tion.html#ga5f95d6e55b4986bd88f662528cef717e">div1024_32_16</a>( uint32_t in32)</div>
<div class="line"><a name="l00967"></a><span class="lineno"> 967</span> {</div>
<div class="line"><a name="l00968"></a><span class="lineno"> 968</span>  uint16_t out16;</div>
<div class="line"><a name="l00969"></a><span class="lineno"> 969</span> <span class="preprocessor">#if defined(__AVR__)</span></div>
<div class="line"><a name="l00970"></a><span class="lineno"> 970</span>  <span class="keyword">asm</span> <span class="keyword">volatile</span> (</div>
<div class="line"><a name="l00971"></a><span class="lineno"> 971</span>  <span class="stringliteral">" lsr %D[in] \n\t"</span></div>
<div class="line"><a name="l00972"></a><span class="lineno"> 972</span>  <span class="stringliteral">" ror %C[in] \n\t"</span></div>
<div class="line"><a name="l00973"></a><span class="lineno"> 973</span>  <span class="stringliteral">" ror %B[in] \n\t"</span></div>
<div class="line"><a name="l00974"></a><span class="lineno"> 974</span>  <span class="stringliteral">" lsr %D[in] \n\t"</span></div>
<div class="line"><a name="l00975"></a><span class="lineno"> 975</span>  <span class="stringliteral">" ror %C[in] \n\t"</span></div>
<div class="line"><a name="l00976"></a><span class="lineno"> 976</span>  <span class="stringliteral">" ror %B[in] \n\t"</span></div>
<div class="line"><a name="l00977"></a><span class="lineno"> 977</span>  <span class="stringliteral">" mov %B[out],%C[in] \n\t"</span></div>
<div class="line"><a name="l00978"></a><span class="lineno"> 978</span>  <span class="stringliteral">" mov %A[out],%B[in] \n\t"</span></div>
<div class="line"><a name="l00979"></a><span class="lineno"> 979</span>  : [in] <span class="stringliteral">"+r"</span> (in32),</div>
<div class="line"><a name="l00980"></a><span class="lineno"> 980</span>  [out] <span class="stringliteral">"=r"</span> (out16)</div>
<div class="line"><a name="l00981"></a><span class="lineno"> 981</span>  );</div>
<div class="line"><a name="l00982"></a><span class="lineno"> 982</span> <span class="preprocessor">#else</span></div>
<div class="line"><a name="l00983"></a><span class="lineno"> 983</span>  out16 = (in32 >> 10) & 0xFFFF;</div>
<div class="line"><a name="l00984"></a><span class="lineno"> 984</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00985"></a><span class="lineno"> 985</span>  <span class="keywordflow">return</span> out16;</div>
<div class="line"><a name="l00986"></a><span class="lineno"> 986</span> }</div>
<div class="line"><a name="l00987"></a><span class="lineno"> 987</span> </div>
<div class="line"><a name="l00991"></a><span class="lineno"><a class="line" href="group__lib8tion.html#ga52659d1994f2f21eb05080c97417e93b"> 991</a></span> LIB8STATIC uint16_t <a class="code" href="group__lib8tion.html#ga52659d1994f2f21eb05080c97417e93b">bseconds16</a>()</div>
<div class="line"><a name="l00992"></a><span class="lineno"> 992</span> {</div>
<div class="line"><a name="l00993"></a><span class="lineno"> 993</span>  uint32_t ms = GET_MILLIS();</div>
<div class="line"><a name="l00994"></a><span class="lineno"> 994</span>  uint16_t s16;</div>
<div class="line"><a name="l00995"></a><span class="lineno"> 995</span>  s16 = <a class="code" href="group__lib8tion.html#ga5f95d6e55b4986bd88f662528cef717e">div1024_32_16</a>( ms);</div>
<div class="line"><a name="l00996"></a><span class="lineno"> 996</span>  <span class="keywordflow">return</span> s16;</div>
<div class="line"><a name="l00997"></a><span class="lineno"> 997</span> }</div>
<div class="line"><a name="l00998"></a><span class="lineno"> 998</span> </div>
<div class="line"><a name="l00999"></a><span class="lineno"> 999</span> </div>
<div class="line"><a name="l01000"></a><span class="lineno"> 1000</span> <span class="comment">// Classes to implement "Every N Milliseconds", "Every N Seconds",</span></div>
<div class="line"><a name="l01001"></a><span class="lineno"> 1001</span> <span class="comment">// "Every N Minutes", "Every N Hours", and "Every N BSeconds".</span></div>
<div class="line"><a name="l01002"></a><span class="lineno"> 1002</span> <span class="preprocessor">#if 1</span></div>
<div class="line"><a name="l01003"></a><span class="lineno"> 1003</span> <span class="preprocessor">#define INSTANTIATE_EVERY_N_TIME_PERIODS(NAME,TIMETYPE,TIMEGETTER) \</span></div>
<div class="line"><a name="l01004"></a><span class="lineno"> 1004</span> <span class="preprocessor">class NAME { \</span></div>
<div class="line"><a name="l01005"></a><span class="lineno"> 1005</span> <span class="preprocessor">public: \</span></div>
<div class="line"><a name="l01006"></a><span class="lineno"> 1006</span> <span class="preprocessor"> TIMETYPE mPrevTrigger; \</span></div>
<div class="line"><a name="l01007"></a><span class="lineno"> 1007</span> <span class="preprocessor"> TIMETYPE mPeriod; \</span></div>
<div class="line"><a name="l01008"></a><span class="lineno"> 1008</span> <span class="preprocessor"> \</span></div>
<div class="line"><a name="l01009"></a><span class="lineno"> 1009</span> <span class="preprocessor"> NAME() { reset(); mPeriod = 1; }; \</span></div>
<div class="line"><a name="l01010"></a><span class="lineno"> 1010</span> <span class="preprocessor"> NAME(TIMETYPE period) { reset(); setPeriod(period); }; \</span></div>
<div class="line"><a name="l01011"></a><span class="lineno"> 1011</span> <span class="preprocessor"> void setPeriod( TIMETYPE period) { mPeriod = period; }; \</span></div>
<div class="line"><a name="l01012"></a><span class="lineno"> 1012</span> <span class="preprocessor"> TIMETYPE getTime() { return (TIMETYPE)(TIMEGETTER()); }; \</span></div>
<div class="line"><a name="l01013"></a><span class="lineno"> 1013</span> <span class="preprocessor"> TIMETYPE getPeriod() { return mPeriod; }; \</span></div>
<div class="line"><a name="l01014"></a><span class="lineno"> 1014</span> <span class="preprocessor"> TIMETYPE getElapsed() { return getTime() - mPrevTrigger; } \</span></div>
<div class="line"><a name="l01015"></a><span class="lineno"> 1015</span> <span class="preprocessor"> TIMETYPE getRemaining() { return mPeriod - getElapsed(); } \</span></div>
<div class="line"><a name="l01016"></a><span class="lineno"> 1016</span> <span class="preprocessor"> TIMETYPE getLastTriggerTime() { return mPrevTrigger; } \</span></div>
<div class="line"><a name="l01017"></a><span class="lineno"> 1017</span> <span class="preprocessor"> bool ready() { \</span></div>
<div class="line"><a name="l01018"></a><span class="lineno"> 1018</span> <span class="preprocessor"> bool isReady = (getElapsed() >= mPeriod); \</span></div>
<div class="line"><a name="l01019"></a><span class="lineno"> 1019</span> <span class="preprocessor"> if( isReady ) { reset(); } \</span></div>
<div class="line"><a name="l01020"></a><span class="lineno"> 1020</span> <span class="preprocessor"> return isReady; \</span></div>
<div class="line"><a name="l01021"></a><span class="lineno"> 1021</span> <span class="preprocessor"> } \</span></div>
<div class="line"><a name="l01022"></a><span class="lineno"> 1022</span> <span class="preprocessor"> void reset() { mPrevTrigger = getTime(); }; \</span></div>
<div class="line"><a name="l01023"></a><span class="lineno"> 1023</span> <span class="preprocessor"> void trigger() { mPrevTrigger = getTime() - mPeriod; }; \</span></div>
<div class="line"><a name="l01024"></a><span class="lineno"> 1024</span> <span class="preprocessor"> \</span></div>
<div class="line"><a name="l01025"></a><span class="lineno"> 1025</span> <span class="preprocessor"> operator bool() { return ready(); } \</span></div>
<div class="line"><a name="l01026"></a><span class="lineno"> 1026</span> <span class="preprocessor">};</span></div>
<div class="line"><a name="l01027"></a><span class="lineno"> 1027</span> INSTANTIATE_EVERY_N_TIME_PERIODS(<a class="code" href="class_c_every_n_time_periods.html">CEveryNMillis</a>,uint32_t,GET_MILLIS);</div>
<div class="line"><a name="l01028"></a><span class="lineno"> 1028</span> INSTANTIATE_EVERY_N_TIME_PERIODS(<a class="code" href="class_c_every_n_time_periods.html">CEveryNSeconds</a>,uint16_t,<a class="code" href="group__lib8tion.html#gaa2abcee2fe76fafd7f3a2aeab03e3b69">seconds16</a>);</div>
<div class="line"><a name="l01029"></a><span class="lineno"> 1029</span> INSTANTIATE_EVERY_N_TIME_PERIODS(<a class="code" href="class_c_every_n_time_periods.html">CEveryNBSeconds</a>,uint16_t,<a class="code" href="group__lib8tion.html#ga52659d1994f2f21eb05080c97417e93b">bseconds16</a>);</div>
<div class="line"><a name="l01030"></a><span class="lineno"> 1030</span> INSTANTIATE_EVERY_N_TIME_PERIODS(<a class="code" href="class_c_every_n_time_periods.html">CEveryNMinutes</a>,uint16_t,<a class="code" href="group__lib8tion.html#ga223820399921e32ddf018a90223ff336">minutes16</a>);</div>
<div class="line"><a name="l01031"></a><span class="lineno"> 1031</span> INSTANTIATE_EVERY_N_TIME_PERIODS(<a class="code" href="class_c_every_n_time_periods.html">CEveryNHours</a>,uint8_t,<a class="code" href="group__lib8tion.html#ga837f5a688998f3340994613944e47d41">hours8</a>);</div>
<div class="line"><a name="l01032"></a><span class="lineno"> 1032</span> <span class="preprocessor">#else</span></div>
<div class="line"><a name="l01033"></a><span class="lineno"> 1033</span> </div>
<div class="line"><a name="l01034"></a><span class="lineno"> 1034</span> <span class="comment">// Under C++11 rules, we would be allowed to use not-external</span></div>
<div class="line"><a name="l01035"></a><span class="lineno"> 1035</span> <span class="comment">// -linkage-type symbols as template arguments,</span></div>
<div class="line"><a name="l01036"></a><span class="lineno"> 1036</span> <span class="comment">// e.g., LIB8STATIC seconds16, and we'd be able to use these</span></div>
<div class="line"><a name="l01037"></a><span class="lineno"> 1037</span> <span class="comment">// templates as shown below.</span></div>
<div class="line"><a name="l01038"></a><span class="lineno"> 1038</span> <span class="comment">// However, under C++03 rules, we cannot do that, and thus we</span></div>
<div class="line"><a name="l01039"></a><span class="lineno"> 1039</span> <span class="comment">// have to resort to the preprocessor to 'instantiate' 'templates',</span></div>
<div class="line"><a name="l01040"></a><span class="lineno"> 1040</span> <span class="comment">// as handled above.</span></div>
<div class="line"><a name="l01041"></a><span class="lineno"> 1041</span> <span class="keyword">template</span><<span class="keyword">typename</span> timeType,timeType (*timeGetter)()></div>
<div class="line"><a name="l01042"></a><span class="lineno"><a class="line" href="class_c_every_n_time_periods.html"> 1042</a></span> <span class="keyword">class </span><a class="code" href="class_c_every_n_time_periods.html">CEveryNTimePeriods</a> {</div>
<div class="line"><a name="l01043"></a><span class="lineno"> 1043</span> <span class="keyword">public</span>:</div>
<div class="line"><a name="l01044"></a><span class="lineno"> 1044</span>  timeType mPrevTrigger;</div>
<div class="line"><a name="l01045"></a><span class="lineno"> 1045</span>  timeType mPeriod;</div>
<div class="line"><a name="l01046"></a><span class="lineno"> 1046</span> </div>
<div class="line"><a name="l01047"></a><span class="lineno"> 1047</span>  <a class="code" href="class_c_every_n_time_periods.html">CEveryNTimePeriods</a>() { reset(); mPeriod = 1; };</div>
<div class="line"><a name="l01048"></a><span class="lineno"> 1048</span>  <a class="code" href="class_c_every_n_time_periods.html">CEveryNTimePeriods</a>(timeType period) { reset(); setPeriod(period); };</div>
<div class="line"><a name="l01049"></a><span class="lineno"> 1049</span>  <span class="keywordtype">void</span> setPeriod( timeType period) { mPeriod = period; };</div>
<div class="line"><a name="l01050"></a><span class="lineno"> 1050</span>  timeType getTime() { <span class="keywordflow">return</span> (timeType)(timeGetter()); };</div>
<div class="line"><a name="l01051"></a><span class="lineno"> 1051</span>  timeType getPeriod() { <span class="keywordflow">return</span> mPeriod; };</div>
<div class="line"><a name="l01052"></a><span class="lineno"> 1052</span>  timeType getElapsed() { <span class="keywordflow">return</span> getTime() - mPrevTrigger; }</div>
<div class="line"><a name="l01053"></a><span class="lineno"> 1053</span>  timeType getRemaining() { <span class="keywordflow">return</span> mPeriod - getElapsed(); }</div>
<div class="line"><a name="l01054"></a><span class="lineno"> 1054</span>  timeType getLastTriggerTime() { <span class="keywordflow">return</span> mPrevTrigger; }</div>
<div class="line"><a name="l01055"></a><span class="lineno"> 1055</span>  <span class="keywordtype">bool</span> ready() {</div>
<div class="line"><a name="l01056"></a><span class="lineno"> 1056</span>  <span class="keywordtype">bool</span> isReady = (getElapsed() >= mPeriod);</div>
<div class="line"><a name="l01057"></a><span class="lineno"> 1057</span>  <span class="keywordflow">if</span>( isReady ) { reset(); }</div>
<div class="line"><a name="l01058"></a><span class="lineno"> 1058</span>  <span class="keywordflow">return</span> isReady;</div>
<div class="line"><a name="l01059"></a><span class="lineno"> 1059</span>  }</div>
<div class="line"><a name="l01060"></a><span class="lineno"> 1060</span>  <span class="keywordtype">void</span> reset() { mPrevTrigger = getTime(); };</div>
<div class="line"><a name="l01061"></a><span class="lineno"> 1061</span>  <span class="keywordtype">void</span> trigger() { mPrevTrigger = getTime() - mPeriod; };</div>
<div class="line"><a name="l01062"></a><span class="lineno"> 1062</span> </div>
<div class="line"><a name="l01063"></a><span class="lineno"> 1063</span>  <span class="keyword">operator</span> bool() { <span class="keywordflow">return</span> ready(); }</div>
<div class="line"><a name="l01064"></a><span class="lineno"> 1064</span> };</div>
<div class="line"><a name="l01065"></a><span class="lineno"> 1065</span> <span class="keyword">typedef</span> <a class="code" href="class_c_every_n_time_periods.html">CEveryNTimePeriods<uint16_t,seconds16></a> <a class="code" href="class_c_every_n_time_periods.html">CEveryNSeconds</a>;</div>
<div class="line"><a name="l01066"></a><span class="lineno"> 1066</span> <span class="keyword">typedef</span> <a class="code" href="class_c_every_n_time_periods.html">CEveryNTimePeriods<uint16_t,bseconds16></a> <a class="code" href="class_c_every_n_time_periods.html">CEveryNBSeconds</a>;</div>
<div class="line"><a name="l01067"></a><span class="lineno"> 1067</span> <span class="keyword">typedef</span> <a class="code" href="class_c_every_n_time_periods.html">CEveryNTimePeriods<uint32_t,millis></a> <a class="code" href="class_c_every_n_time_periods.html">CEveryNMillis</a>;</div>
<div class="line"><a name="l01068"></a><span class="lineno"> 1068</span> <span class="keyword">typedef</span> <a class="code" href="class_c_every_n_time_periods.html">CEveryNTimePeriods<uint16_t,minutes16></a> <a class="code" href="class_c_every_n_time_periods.html">CEveryNMinutes</a>;</div>
<div class="line"><a name="l01069"></a><span class="lineno"> 1069</span> <span class="keyword">typedef</span> <a class="code" href="class_c_every_n_time_periods.html">CEveryNTimePeriods<uint8_t,hours8></a> <a class="code" href="class_c_every_n_time_periods.html">CEveryNHours</a>;</div>
<div class="line"><a name="l01070"></a><span class="lineno"> 1070</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l01071"></a><span class="lineno"> 1071</span> </div>
<div class="line"><a name="l01072"></a><span class="lineno"> 1072</span> </div>
<div class="line"><a name="l01073"></a><span class="lineno"> 1073</span> <span class="preprocessor">#define CONCAT_HELPER( x, y ) x##y</span></div>
<div class="line"><a name="l01074"></a><span class="lineno"> 1074</span> <span class="preprocessor">#define CONCAT_MACRO( x, y ) CONCAT_HELPER( x, y )</span></div>
<div class="line"><a name="l01075"></a><span class="lineno"> 1075</span> <span class="preprocessor">#define EVERY_N_MILLIS(N) EVERY_N_MILLIS_I(CONCAT_MACRO(PER, __COUNTER__ ),N)</span></div>
<div class="line"><a name="l01076"></a><span class="lineno"> 1076</span> <span class="preprocessor">#define EVERY_N_MILLIS_I(NAME,N) static CEveryNMillis NAME(N); if( NAME )</span></div>
<div class="line"><a name="l01077"></a><span class="lineno"> 1077</span> <span class="preprocessor">#define EVERY_N_SECONDS(N) EVERY_N_SECONDS_I(CONCAT_MACRO(PER, __COUNTER__ ),N)</span></div>
<div class="line"><a name="l01078"></a><span class="lineno"> 1078</span> <span class="preprocessor">#define EVERY_N_SECONDS_I(NAME,N) static CEveryNSeconds NAME(N); if( NAME )</span></div>
<div class="line"><a name="l01079"></a><span class="lineno"> 1079</span> <span class="preprocessor">#define EVERY_N_BSECONDS(N) EVERY_N_BSECONDS_I(CONCAT_MACRO(PER, __COUNTER__ ),N)</span></div>
<div class="line"><a name="l01080"></a><span class="lineno"> 1080</span> <span class="preprocessor">#define EVERY_N_BSECONDS_I(NAME,N) static CEveryNBSeconds NAME(N); if( NAME )</span></div>
<div class="line"><a name="l01081"></a><span class="lineno"> 1081</span> <span class="preprocessor">#define EVERY_N_MINUTES(N) EVERY_N_MINUTES_I(CONCAT_MACRO(PER, __COUNTER__ ),N)</span></div>
<div class="line"><a name="l01082"></a><span class="lineno"> 1082</span> <span class="preprocessor">#define EVERY_N_MINUTES_I(NAME,N) static CEveryNMinutes NAME(N); if( NAME )</span></div>
<div class="line"><a name="l01083"></a><span class="lineno"> 1083</span> <span class="preprocessor">#define EVERY_N_HOURS(N) EVERY_N_HOURS_I(CONCAT_MACRO(PER, __COUNTER__ ),N)</span></div>
<div class="line"><a name="l01084"></a><span class="lineno"> 1084</span> <span class="preprocessor">#define EVERY_N_HOURS_I(NAME,N) static CEveryNHours NAME(N); if( NAME )</span></div>
<div class="line"><a name="l01085"></a><span class="lineno"> 1085</span> </div>
<div class="line"><a name="l01086"></a><span class="lineno"> 1086</span> <span class="preprocessor">#define CEveryNMilliseconds CEveryNMillis</span></div>
<div class="line"><a name="l01087"></a><span class="lineno"> 1087</span> <span class="preprocessor">#define EVERY_N_MILLISECONDS(N) EVERY_N_MILLIS(N)</span></div>
<div class="line"><a name="l01088"></a><span class="lineno"> 1088</span> <span class="preprocessor">#define EVERY_N_MILLISECONDS_I(NAME,N) EVERY_N_MILLIS_I(NAME,N)</span></div>
<div class="line"><a name="l01089"></a><span class="lineno"> 1089</span> </div>
<div class="line"><a name="l01090"></a><span class="lineno"> 1090</span> FASTLED_NAMESPACE_END</div>
<div class="line"><a name="l01092"></a><span class="lineno"> 1092</span> </div>
<div class="line"><a name="l01093"></a><span class="lineno"> 1093</span> <span class="preprocessor">#endif</span></div>
<div class="ttc" id="group__lib8tion_html_ga837f5a688998f3340994613944e47d41"><div class="ttname"><a href="group__lib8tion.html#ga837f5a688998f3340994613944e47d41">hours8</a></div><div class="ttdeci">LIB8STATIC uint8_t hours8()</div><div class="ttdoc">Return the current hours since boot in an 8-bit value. </div><div class="ttdef"><b>Definition:</b> <a href="lib8tion_8h_source.html#l00947">lib8tion.h:947</a></div></div>
<div class="ttc" id="group__lib8tion_html_ga8c8f06da86c5d7cf13f55c3a5bfdf251"><div class="ttname"><a href="group__lib8tion.html#ga8c8f06da86c5d7cf13f55c3a5bfdf251">lerp16by8</a></div><div class="ttdeci">LIB8STATIC uint16_t lerp16by8(uint16_t a, uint16_t b, fract8 frac)</div><div class="ttdoc">linear interpolation between two unsigned 16-bit values, with 8-bit fraction </div><div class="ttdef"><b>Definition:</b> <a href="lib8tion_8h_source.html#l00490">lib8tion.h:490</a></div></div>
<div class="ttc" id="group__lib8tion_html_gade6acbf6fd3c9d346148bccfcafb2fe2"><div class="ttname"><a href="group__lib8tion.html#gade6acbf6fd3c9d346148bccfcafb2fe2">beat16</a></div><div class="ttdeci">LIB8STATIC uint16_t beat16(accum88 beats_per_minute, uint32_t timebase=0)</div><div class="ttdoc">beat16 generates a 16-bit 'sawtooth' wave at a given BPM </div><div class="ttdef"><b>Definition:</b> <a href="lib8tion_8h_source.html#l00868">lib8tion.h:868</a></div></div>
<div class="ttc" id="group__lib8tion_html_ga9585be88f27cab4c367399d8e91c8467"><div class="ttname"><a href="group__lib8tion.html#ga9585be88f27cab4c367399d8e91c8467">saccum78</a></div><div class="ttdeci">int16_t saccum78</div><div class="ttdoc">ANSI: signed short _Accum. 7 bits int, 8 bits fraction. </div><div class="ttdef"><b>Definition:</b> <a href="lib8tion_8h_source.html#l00354">lib8tion.h:354</a></div></div>
<div class="ttc" id="group__lib8tion_html_ga381449070b2d6bfba356f87881ab28c0"><div class="ttname"><a href="group__lib8tion.html#ga381449070b2d6bfba356f87881ab28c0">ease8InOutQuad</a></div><div class="ttdeci">LIB8STATIC uint8_t ease8InOutQuad(uint8_t i)</div><div class="ttdoc">ease8InOutQuad: 8-bit quadratic ease-in / ease-out function Takes around 13 cycles on AVR ...</div><div class="ttdef"><b>Definition:</b> <a href="lib8tion_8h_source.html#l00572">lib8tion.h:572</a></div></div>
<div class="ttc" id="group__lib8tion_html_gae3ac7def25ef5ddea2da1a3bc0c00f44"><div class="ttname"><a href="group__lib8tion.html#gae3ac7def25ef5ddea2da1a3bc0c00f44">accum1616</a></div><div class="ttdeci">uint32_t accum1616</div><div class="ttdoc">ANSI: signed _Accum. 16 bits int, 16 bits fraction. </div><div class="ttdef"><b>Definition:</b> <a href="lib8tion_8h_source.html#l00355">lib8tion.h:355</a></div></div>
<div class="ttc" id="group__lib8tion_html_ga223820399921e32ddf018a90223ff336"><div class="ttname"><a href="group__lib8tion.html#ga223820399921e32ddf018a90223ff336">minutes16</a></div><div class="ttdeci">LIB8STATIC uint16_t minutes16()</div><div class="ttdoc">Return the current minutes since boot in a 16-bit value. </div><div class="ttdef"><b>Definition:</b> <a href="lib8tion_8h_source.html#l00937">lib8tion.h:937</a></div></div>
<div class="ttc" id="group__lib8tion_html_ga62ed4425400bc4140902347dc54ffb72"><div class="ttname"><a href="group__lib8tion.html#ga62ed4425400bc4140902347dc54ffb72">lerp8by8</a></div><div class="ttdeci">LIB8STATIC uint8_t lerp8by8(uint8_t a, uint8_t b, fract8 frac)</div><div class="ttdoc">linear interpolation between two unsigned 8-bit values, with 8-bit fraction </div><div class="ttdef"><b>Definition:</b> <a href="lib8tion_8h_source.html#l00456">lib8tion.h:456</a></div></div>
<div class="ttc" id="group__lib8tion_html_gaaf46b9f719ef3bdb574f8e967af6dbb5"><div class="ttname"><a href="group__lib8tion.html#gaaf46b9f719ef3bdb574f8e967af6dbb5">fract16</a></div><div class="ttdeci">uint16_t fract16</div><div class="ttdoc">ANSI: unsigned _Fract. </div><div class="ttdef"><b>Definition:</b> <a href="lib8tion_8h_source.html#l00342">lib8tion.h:342</a></div></div>
<div class="ttc" id="group__lib8tion_html_ga7c02960d0f26e90054c7312e5f9a55b3"><div class="ttname"><a href="group__lib8tion.html#ga7c02960d0f26e90054c7312e5f9a55b3">lerp16by16</a></div><div class="ttdeci">LIB8STATIC uint16_t lerp16by16(uint16_t a, uint16_t b, fract16 frac)</div><div class="ttdoc">linear interpolation between two unsigned 16-bit values, with 16-bit fraction </div><div class="ttdef"><b>Definition:</b> <a href="lib8tion_8h_source.html#l00473">lib8tion.h:473</a></div></div>
<div class="ttc" id="group__lib8tion_html_ga397f872082dbd788e04e8c6e443e563a"><div class="ttname"><a href="group__lib8tion.html#ga397f872082dbd788e04e8c6e443e563a">accum88</a></div><div class="ttdeci">uint16_t accum88</div><div class="ttdoc">ANSI: unsigned short _Accum. 8 bits int, 8 bits fraction. </div><div class="ttdef"><b>Definition:</b> <a href="lib8tion_8h_source.html#l00353">lib8tion.h:353</a></div></div>
<div class="ttc" id="group___scaling_html_ga6c160f8c36ce9b3c5eda68e4992010af"><div class="ttname"><a href="group___scaling.html#ga6c160f8c36ce9b3c5eda68e4992010af">scale8</a></div><div class="ttdeci">LIB8STATIC uint8_t scale8(uint8_t i, fract8 scale)</div><div class="ttdoc">scale one byte by a second one, which is treated as the numerator of a fraction whose denominator is ...</div><div class="ttdef"><b>Definition:</b> <a href="scale8_8h_source.html#l00020">scale8.h:20</a></div></div>
<div class="ttc" id="union_i_e_e_e754binary32__t_html"><div class="ttname"><a href="union_i_e_e_e754binary32__t.html">IEEE754binary32_t</a></div><div class="ttdoc">typedef for IEEE754 "binary32" float type internals </div><div class="ttdef"><b>Definition:</b> <a href="lib8tion_8h_source.html#l00362">lib8tion.h:362</a></div></div>
<div class="ttc" id="group__lib8tion_html_ga00cb5dc9e5b477a58669a3e40bc473c2"><div class="ttname"><a href="group__lib8tion.html#ga00cb5dc9e5b477a58669a3e40bc473c2">sfract15</a></div><div class="ttdeci">int16_t sfract15</div><div class="ttdoc">ANSI: signed _Fract. </div><div class="ttdef"><b>Definition:</b> <a href="lib8tion_8h_source.html#l00346">lib8tion.h:346</a></div></div>
<div class="ttc" id="group__lib8tion_html_gaa46e5de1c4c27833359e7a97a18c839b"><div class="ttname"><a href="group__lib8tion.html#gaa46e5de1c4c27833359e7a97a18c839b">beatsin16</a></div><div class="ttdeci">LIB8STATIC uint16_t beatsin16(accum88 beats_per_minute, uint16_t lowest=0, uint16_t highest=65535, uint32_t timebase=0, uint16_t phase_offset=0)</div><div class="ttdoc">beatsin16 generates a 16-bit sine wave at a given BPM, that oscillates within a given range...</div><div class="ttdef"><b>Definition:</b> <a href="lib8tion_8h_source.html#l00900">lib8tion.h:900</a></div></div>
<div class="ttc" id="group__lib8tion_html_gad5dca0e1248b916799dde6dc44ef369b"><div class="ttname"><a href="group__lib8tion.html#gad5dca0e1248b916799dde6dc44ef369b">q88</a></div><div class="ttdeci">q< uint16_t, 8, 8 > q88</div><div class="ttdoc">A 8.8 integer (8 bits integer, 8 bits fraction) </div><div class="ttdef"><b>Definition:</b> <a href="lib8tion_8h_source.html#l00781">lib8tion.h:781</a></div></div>
<div class="ttc" id="group__lib8tion_html_gad4b09aba4e188e14d3e71d1c9f77f1a5"><div class="ttname"><a href="group__lib8tion.html#gad4b09aba4e188e14d3e71d1c9f77f1a5">lerp15by16</a></div><div class="ttdeci">LIB8STATIC int16_t lerp15by16(int16_t a, int16_t b, fract16 frac)</div><div class="ttdoc">linear interpolation between two signed 15-bit values, with 8-bit fraction </div><div class="ttdef"><b>Definition:</b> <a href="lib8tion_8h_source.html#l00524">lib8tion.h:524</a></div></div>
<div class="ttc" id="group__lib8tion_html_ga95e7a40d98aa0371e9adce9220d3a67c"><div class="ttname"><a href="group__lib8tion.html#ga95e7a40d98aa0371e9adce9220d3a67c">saccum114</a></div><div class="ttdeci">int32_t saccum114</div><div class="ttdoc">no direct ANSI counterpart. 1 bit int, 14 bits fraction </div><div class="ttdef"><b>Definition:</b> <a href="lib8tion_8h_source.html#l00358">lib8tion.h:358</a></div></div>
<div class="ttc" id="group___scaling_html_gaf34fde0746c9c2e5ed44f9c437a2267e"><div class="ttname"><a href="group___scaling.html#gaf34fde0746c9c2e5ed44f9c437a2267e">scale16by8</a></div><div class="ttdeci">LIB8STATIC uint16_t scale16by8(uint16_t i, fract8 scale)</div><div class="ttdoc">scale a 16-bit unsigned value by an 8-bit value, considered as numerator of a fraction whose denomina...</div><div class="ttdef"><b>Definition:</b> <a href="scale8_8h_source.html#l00348">scale8.h:348</a></div></div>
<div class="ttc" id="group___scaling_html_ga1ff8ac00ad78e22acc7bb7445bfdb145"><div class="ttname"><a href="group___scaling.html#ga1ff8ac00ad78e22acc7bb7445bfdb145">scale16</a></div><div class="ttdeci">LIB8STATIC uint16_t scale16(uint16_t i, fract16 scale)</div><div class="ttdoc">scale a 16-bit unsigned value by a 16-bit value, considered as numerator of a fraction whose denomina...</div><div class="ttdef"><b>Definition:</b> <a href="scale8_8h_source.html#l00384">scale8.h:384</a></div></div>
<div class="ttc" id="group__lib8tion_html_gaa2facbc0ec935e34c629aef43d6262c0"><div class="ttname"><a href="group__lib8tion.html#gaa2facbc0ec935e34c629aef43d6262c0">floatToSfract15</a></div><div class="ttdeci">LIB8STATIC sfract15 floatToSfract15(float f)</div><div class="ttdoc">conversion from IEEE754 float in the range (-1,1) to 16-bit fixed point. </div><div class="ttdef"><b>Definition:</b> <a href="lib8tion_8h_source.html#l00413">lib8tion.h:413</a></div></div>
<div class="ttc" id="group__lib8tion_html_gaa2abcee2fe76fafd7f3a2aeab03e3b69"><div class="ttname"><a href="group__lib8tion.html#gaa2abcee2fe76fafd7f3a2aeab03e3b69">seconds16</a></div><div class="ttdeci">LIB8STATIC uint16_t seconds16()</div><div class="ttdoc">Return the current seconds since boot in a 16-bit value. </div><div class="ttdef"><b>Definition:</b> <a href="lib8tion_8h_source.html#l00927">lib8tion.h:927</a></div></div>
<div class="ttc" id="group__lib8tion_html_ga7bcc9ebf20b0dd74d9999d5a630d443f"><div class="ttname"><a href="group__lib8tion.html#ga7bcc9ebf20b0dd74d9999d5a630d443f">accum124</a></div><div class="ttdeci">uint16_t accum124</div><div class="ttdoc">no direct ANSI counterpart. 12 bits int, 4 bits fraction </div><div class="ttdef"><b>Definition:</b> <a href="lib8tion_8h_source.html#l00357">lib8tion.h:357</a></div></div>
<div class="ttc" id="group__lib8tion_html_ga52659d1994f2f21eb05080c97417e93b"><div class="ttname"><a href="group__lib8tion.html#ga52659d1994f2f21eb05080c97417e93b">bseconds16</a></div><div class="ttdeci">LIB8STATIC uint16_t bseconds16()</div><div class="ttdoc">bseconds16 returns the current time-since-boot in "binary seconds", which are actually 1024/1000 of a...</div><div class="ttdef"><b>Definition:</b> <a href="lib8tion_8h_source.html#l00991">lib8tion.h:991</a></div></div>
<div class="ttc" id="group__lib8tion_html_ga0f02a1da674754f48c5f89c1610e118c"><div class="ttname"><a href="group__lib8tion.html#ga0f02a1da674754f48c5f89c1610e118c">q124</a></div><div class="ttdeci">q< uint16_t, 12, 4 > q124</div><div class="ttdoc">A 12.4 integer (12 bits integer, 4 bits fraction) </div><div class="ttdef"><b>Definition:</b> <a href="lib8tion_8h_source.html#l00783">lib8tion.h:783</a></div></div>
<div class="ttc" id="group__lib8tion_html_ga209d6cbdb109cc3139e7bb1e46c6228f"><div class="ttname"><a href="group__lib8tion.html#ga209d6cbdb109cc3139e7bb1e46c6228f">quadwave8</a></div><div class="ttdeci">LIB8STATIC uint8_t quadwave8(uint8_t in)</div><div class="ttdoc">quadwave8: quadratic waveform generator. </div><div class="ttdef"><b>Definition:</b> <a href="lib8tion_8h_source.html#l00704">lib8tion.h:704</a></div></div>
<div class="ttc" id="class_c_every_n_time_periods_html"><div class="ttname"><a href="class_c_every_n_time_periods.html">CEveryNTimePeriods</a></div><div class="ttdef"><b>Definition:</b> <a href="lib8tion_8h_source.html#l01042">lib8tion.h:1042</a></div></div>
<div class="ttc" id="group__lib8tion_html_ga5d6d013429a5b8a09d564d6137217644"><div class="ttname"><a href="group__lib8tion.html#ga5d6d013429a5b8a09d564d6137217644">fract8</a></div><div class="ttdeci">uint8_t fract8</div><div class="ttdoc">ANSI unsigned short _Fract. </div><div class="ttdef"><b>Definition:</b> <a href="lib8tion_8h_source.html#l00334">lib8tion.h:334</a></div></div>
<div class="ttc" id="group__lib8tion_html_ga85082c3ed8843d32076222e82d72f80d"><div class="ttname"><a href="group__lib8tion.html#ga85082c3ed8843d32076222e82d72f80d">q44</a></div><div class="ttdeci">q< uint8_t, 4, 4 > q44</div><div class="ttdoc">A 4.4 integer (4 bits integer, 4 bits fraction) </div><div class="ttdef"><b>Definition:</b> <a href="lib8tion_8h_source.html#l00777">lib8tion.h:777</a></div></div>
<div class="ttc" id="group__lib8tion_html_gaf917825ff26c8e1174c5b674a2f3c631"><div class="ttname"><a href="group__lib8tion.html#gaf917825ff26c8e1174c5b674a2f3c631">beatsin88</a></div><div class="ttdeci">LIB8STATIC uint16_t beatsin88(accum88 beats_per_minute_88, uint16_t lowest=0, uint16_t highest=65535, uint32_t timebase=0, uint16_t phase_offset=0)</div><div class="ttdoc">beatsin88 generates a 16-bit sine wave at a given BPM, that oscillates within a given range...</div><div class="ttdef"><b>Definition:</b> <a href="lib8tion_8h_source.html#l00887">lib8tion.h:887</a></div></div>
<div class="ttc" id="group___scaling_html_ga39579fcf09743f15545fe0b831ca313c"><div class="ttname"><a href="group___scaling.html#ga39579fcf09743f15545fe0b831ca313c">scale8_LEAVING_R1_DIRTY</a></div><div class="ttdeci">LIB8STATIC uint8_t scale8_LEAVING_R1_DIRTY(uint8_t i, fract8 scale)</div><div class="ttdoc">This version of scale8 does not clean up the R1 register on AVR If you are doing several 'scale8's in...</div><div class="ttdef"><b>Definition:</b> <a href="scale8_8h_source.html#l00121">scale8.h:121</a></div></div>
<div class="ttc" id="group__lib8tion_html_ga06b04a0cf955ec107d49b76e0cb35225"><div class="ttname"><a href="group__lib8tion.html#ga06b04a0cf955ec107d49b76e0cb35225">cubicwave8</a></div><div class="ttdeci">LIB8STATIC uint8_t cubicwave8(uint8_t in)</div><div class="ttdoc">cubicwave8: cubic waveform generator. </div><div class="ttdef"><b>Definition:</b> <a href="lib8tion_8h_source.html#l00711">lib8tion.h:711</a></div></div>
<div class="ttc" id="_fast_l_e_d_8h_html"><div class="ttname"><a href="_fast_l_e_d_8h.html">FastLED.h</a></div><div class="ttdoc">central include file for FastLED, defines the CFastLED class/object </div></div>
<div class="ttc" id="group__lib8tion_html_ga1b48fc520db5f40910caf79974992395"><div class="ttname"><a href="group__lib8tion.html#ga1b48fc520db5f40910caf79974992395">beat88</a></div><div class="ttdeci">LIB8STATIC uint16_t beat88(accum88 beats_per_minute_88, uint32_t timebase=0)</div><div class="ttdoc">with BPM specified in Q8.8 fixed-point format; e.g. </div><div class="ttdef"><b>Definition:</b> <a href="lib8tion_8h_source.html#l00854">lib8tion.h:854</a></div></div>
<div class="ttc" id="group__lib8tion_html_gaa041cdbb17f073dbd352fcae6962dc23"><div class="ttname"><a href="group__lib8tion.html#gaa041cdbb17f073dbd352fcae6962dc23">ease8InOutApprox</a></div><div class="ttdeci">LIB8STATIC fract8 ease8InOutApprox(fract8 i)</div><div class="ttdoc">ease8InOutApprox: fast, rough 8-bit ease-in/ease-out function shaped approximately like 'ease8InOutCu...</div><div class="ttdef"><b>Definition:</b> <a href="lib8tion_8h_source.html#l00618">lib8tion.h:618</a></div></div>
<div class="ttc" id="group__lib8tion_html_ga7d6219a7247ab1923ed623e7ae0f34ae"><div class="ttname"><a href="group__lib8tion.html#ga7d6219a7247ab1923ed623e7ae0f34ae">sfract7</a></div><div class="ttdeci">int8_t sfract7</div><div class="ttdoc">ANSI: signed short _Fract. </div><div class="ttdef"><b>Definition:</b> <a href="lib8tion_8h_source.html#l00338">lib8tion.h:338</a></div></div>
<div class="ttc" id="group__lib8tion_html_ga3fa6d71702477e71d7c0dd864eb1d568"><div class="ttname"><a href="group__lib8tion.html#ga3fa6d71702477e71d7c0dd864eb1d568">ease8InOutCubic</a></div><div class="ttdeci">LIB8STATIC fract8 ease8InOutCubic(fract8 i)</div><div class="ttdoc">ease8InOutCubic: 8-bit cubic ease-in / ease-out function Takes around 18 cycles on AVR ...</div><div class="ttdef"><b>Definition:</b> <a href="lib8tion_8h_source.html#l00589">lib8tion.h:589</a></div></div>
<div class="ttc" id="group__lib8tion_html_ga12014943214a72eec31433d9682d4ebe"><div class="ttname"><a href="group__lib8tion.html#ga12014943214a72eec31433d9682d4ebe">beat8</a></div><div class="ttdeci">LIB8STATIC uint8_t beat8(accum88 beats_per_minute, uint32_t timebase=0)</div><div class="ttdoc">beat8 generates an 8-bit 'sawtooth' wave at a given BPM </div><div class="ttdef"><b>Definition:</b> <a href="lib8tion_8h_source.html#l00876">lib8tion.h:876</a></div></div>
<div class="ttc" id="group___bitswap_html_ga01396a2e40133293c3badab349ac99f0"><div class="ttname"><a href="group___bitswap.html#ga01396a2e40133293c3badab349ac99f0">__attribute__</a></div><div class="ttdeci">__attribute__((always_inline)) inline void swapbits8(bitswap_type in</div><div class="ttdoc">Do an 8byte by 8bit rotation. </div><div class="ttdef"><b>Definition:</b> <a href="fastled__delay_8h_source.html#l00092">fastled_delay.h:92</a></div></div>
<div class="ttc" id="group__lib8tion_html_gae9e011ff745ade1164ae77b0ef62bfac"><div class="ttname"><a href="group__lib8tion.html#gae9e011ff745ade1164ae77b0ef62bfac">triwave8</a></div><div class="ttdeci">LIB8STATIC uint8_t triwave8(uint8_t in)</div><div class="ttdoc">triwave8: triangle (sawtooth) wave generator. </div><div class="ttdef"><b>Definition:</b> <a href="lib8tion_8h_source.html#l00683">lib8tion.h:683</a></div></div>
<div class="ttc" id="group__lib8tion_html_gaecd7cbfc2640407cabf75afcc7d9ddf4"><div class="ttname"><a href="group__lib8tion.html#gaecd7cbfc2640407cabf75afcc7d9ddf4">beatsin8</a></div><div class="ttdeci">LIB8STATIC uint8_t beatsin8(accum88 beats_per_minute, uint8_t lowest=0, uint8_t highest=255, uint32_t timebase=0, uint8_t phase_offset=0)</div><div class="ttdoc">beatsin8 generates an 8-bit sine wave at a given BPM, that oscillates within a given range...</div><div class="ttdef"><b>Definition:</b> <a href="lib8tion_8h_source.html#l00913">lib8tion.h:913</a></div></div>
<div class="ttc" id="group__lib8tion_html_ga17ae8fcfd9c485bb1120d908f836637a"><div class="ttname"><a href="group__lib8tion.html#ga17ae8fcfd9c485bb1120d908f836637a">squarewave8</a></div><div class="ttdeci">LIB8STATIC uint8_t squarewave8(uint8_t in, uint8_t pulsewidth=128)</div><div class="ttdoc">squarewave8: square wave generator. </div><div class="ttdef"><b>Definition:</b> <a href="lib8tion_8h_source.html#l00740">lib8tion.h:740</a></div></div>
<div class="ttc" id="group__lib8tion_html_gaacea0eaea98a065dfa08bb1c147c52a1"><div class="ttname"><a href="group__lib8tion.html#gaacea0eaea98a065dfa08bb1c147c52a1">lerp15by8</a></div><div class="ttdeci">LIB8STATIC int16_t lerp15by8(int16_t a, int16_t b, fract8 frac)</div><div class="ttdoc">linear interpolation between two signed 15-bit values, with 8-bit fraction </div><div class="ttdef"><b>Definition:</b> <a href="lib8tion_8h_source.html#l00507">lib8tion.h:507</a></div></div>
<div class="ttc" id="group__lib8tion_html_gafea4166e233d92817eada7203021089a"><div class="ttname"><a href="group__lib8tion.html#gafea4166e233d92817eada7203021089a">q62</a></div><div class="ttdeci">q< uint8_t, 6, 2 > q62</div><div class="ttdoc">A 6.2 integer (6 bits integer, 2 bits fraction) </div><div class="ttdef"><b>Definition:</b> <a href="lib8tion_8h_source.html#l00779">lib8tion.h:779</a></div></div>
<div class="ttc" id="classq_html"><div class="ttname"><a href="classq.html">q</a></div><div class="ttdoc">Template class for represneting fractional ints. </div><div class="ttdef"><b>Definition:</b> <a href="lib8tion_8h_source.html#l00753">lib8tion.h:753</a></div></div>
<div class="ttc" id="group__lib8tion_html_gaf65357c7aeca9778e5a2f80a6bac2b5d"><div class="ttname"><a href="group__lib8tion.html#gaf65357c7aeca9778e5a2f80a6bac2b5d">map8</a></div><div class="ttdeci">LIB8STATIC uint8_t map8(uint8_t in, uint8_t rangeStart, uint8_t rangeEnd)</div><div class="ttdoc">map8: map from one full-range 8-bit value into a narrower range of 8-bit values, possibly a range of ...</div><div class="ttdef"><b>Definition:</b> <a href="lib8tion_8h_source.html#l00556">lib8tion.h:556</a></div></div>
<div class="ttc" id="group__lib8tion_html_gad2dad84f67c8a4cc6d4c92e2c7d3e89f"><div class="ttname"><a href="group__lib8tion.html#gad2dad84f67c8a4cc6d4c92e2c7d3e89f">saccum1516</a></div><div class="ttdeci">int32_t saccum1516</div><div class="ttdoc">ANSI: signed _Accum. 15 bits int, 16 bits fraction. </div><div class="ttdef"><b>Definition:</b> <a href="lib8tion_8h_source.html#l00356">lib8tion.h:356</a></div></div>
<div class="ttc" id="group__lib8tion_html_ga5f95d6e55b4986bd88f662528cef717e"><div class="ttname"><a href="group__lib8tion.html#ga5f95d6e55b4986bd88f662528cef717e">div1024_32_16</a></div><div class="ttdeci">LIB8STATIC uint16_t div1024_32_16(uint32_t in32)</div><div class="ttdoc">Helper routine to divide a 32-bit value by 1024, returning only the low 16 bits. </div><div class="ttdef"><b>Definition:</b> <a href="lib8tion_8h_source.html#l00966">lib8tion.h:966</a></div></div>
<div class="ttc" id="group__lib8tion_html_gab947c1150e3b9056cb91685a14270173"><div class="ttname"><a href="group__lib8tion.html#gab947c1150e3b9056cb91685a14270173">sfract15ToFloat</a></div><div class="ttdeci">LIB8STATIC float sfract15ToFloat(sfract15 y)</div><div class="ttdoc">sfract15ToFloat: conversion from sfract15 fixed point to IEEE754 32-bit float. </div><div class="ttdef"><b>Definition:</b> <a href="lib8tion_8h_source.html#l00404">lib8tion.h:404</a></div></div>
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