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<div class="title">trig8.h</div>  </div>
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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef __INC_LIB8TION_TRIG_H</span></div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define __INC_LIB8TION_TRIG_H</span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;</div>
<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;</div>
<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#if defined(__AVR__)</span></div>
<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#define sin16 sin16_avr</span></div>
<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#else</span></div>
<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#define sin16 sin16_C</span></div>
<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;</div>
<div class="line"><a name="l00030"></a><span class="lineno"><a class="line" href="group___trig.html#ga660ff60bfc5116525e50187de72009fc">   30</a></span>&#160;LIB8STATIC int16_t <a class="code" href="group___trig.html#ga660ff60bfc5116525e50187de72009fc">sin16_avr</a>( uint16_t theta )</div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;{</div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;    <span class="keyword">static</span> <span class="keyword">const</span> uint8_t data[] =</div>
<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;    { 0,         0,         49, 0, 6393%256,   6393/256, 48, 0,</div>
<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      12539%256, 12539/256, 44, 0, 18204%256, 18204/256, 38, 0,</div>
<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      23170%256, 23170/256, 31, 0, 27245%256, 27245/256, 23, 0,</div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      30273%256, 30273/256, 14, 0, 32137%256, 32137/256,  4 <span class="comment">/*,0*/</span> };</div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;</div>
<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;    uint16_t offset = (theta &amp; 0x3FFF);</div>
<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;</div>
<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;    <span class="comment">// AVR doesn&#39;t have a multi-bit shift instruction,</span></div>
<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;    <span class="comment">// so if we say &quot;offset &gt;&gt;= 3&quot;, gcc makes a tiny loop.</span></div>
<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;    <span class="comment">// Inserting empty volatile statements between each</span></div>
<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;    <span class="comment">// bit shift forces gcc to unroll the loop.</span></div>
<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;    offset &gt;&gt;= 1; <span class="comment">// 0..8191</span></div>
<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;    <span class="keyword">asm</span> <span class="keyword">volatile</span>(<span class="stringliteral">&quot;&quot;</span>);</div>
<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;    offset &gt;&gt;= 1; <span class="comment">// 0..4095</span></div>
<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;    <span class="keyword">asm</span> <span class="keyword">volatile</span>(<span class="stringliteral">&quot;&quot;</span>);</div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;    offset &gt;&gt;= 1; <span class="comment">// 0..2047</span></div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;</div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;    <span class="keywordflow">if</span>( theta &amp; 0x4000 ) offset = 2047 - offset;</div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;</div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;    uint8_t sectionX4;</div>
<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;    sectionX4 = offset / 256;</div>
<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;    sectionX4 *= 4;</div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;</div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;    uint8_t m;</div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;</div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;    <span class="keyword">union </span>{</div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;        uint16_t b;</div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;        <span class="keyword">struct </span>{</div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;            uint8_t blo;</div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;            uint8_t bhi;</div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;        };</div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;    } u;</div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;</div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;    <span class="comment">//in effect u.b = blo + (256 * bhi);</span></div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;    u.blo = data[ sectionX4 ];</div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;    u.bhi = data[ sectionX4 + 1];</div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;    m     = data[ sectionX4 + 2];</div>
<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;</div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;    uint8_t secoffset8 = (uint8_t)(offset) / 2;</div>
<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;</div>
<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;    uint16_t mx = m * secoffset8;</div>
<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;</div>
<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;    int16_t  y  = mx + u.b;</div>
<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;    <span class="keywordflow">if</span>( theta &amp; 0x8000 ) y = -y;</div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;</div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;    <span class="keywordflow">return</span> y;</div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;}</div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;</div>
<div class="line"><a name="l00088"></a><span class="lineno"><a class="line" href="group___trig.html#ga0890962cb06b267617f4b06d7e9be5eb">   88</a></span>&#160;LIB8STATIC int16_t <a class="code" href="group___trig.html#ga0890962cb06b267617f4b06d7e9be5eb">sin16_C</a>( uint16_t theta )</div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;{</div>
<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;    <span class="keyword">static</span> <span class="keyword">const</span> uint16_t base[] =</div>
<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;    { 0, 6393, 12539, 18204, 23170, 27245, 30273, 32137 };</div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;    <span class="keyword">static</span> <span class="keyword">const</span> uint8_t slope[] =</div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;    { 49, 48, 44, 38, 31, 23, 14, 4 };</div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;</div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;    uint16_t offset = (theta &amp; 0x3FFF) &gt;&gt; 3; <span class="comment">// 0..2047</span></div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;    <span class="keywordflow">if</span>( theta &amp; 0x4000 ) offset = 2047 - offset;</div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;</div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;    uint8_t section = offset / 256; <span class="comment">// 0..7</span></div>
<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;    uint16_t b   = base[section];</div>
<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;    uint8_t  m   = slope[section];</div>
<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;</div>
<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;    uint8_t secoffset8 = (uint8_t)(offset) / 2;</div>
<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;</div>
<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;    uint16_t mx = m * secoffset8;</div>
<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;    int16_t  y  = mx + b;</div>
<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;</div>
<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;    <span class="keywordflow">if</span>( theta &amp; 0x8000 ) y = -y;</div>
<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;</div>
<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;    <span class="keywordflow">return</span> y;</div>
<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;}</div>
<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;</div>
<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;</div>
<div class="line"><a name="l00120"></a><span class="lineno"><a class="line" href="group___trig.html#ga056952ebed39f55880bb353857b47075">  120</a></span>&#160;LIB8STATIC int16_t <a class="code" href="group___trig.html#ga056952ebed39f55880bb353857b47075">cos16</a>( uint16_t theta)</div>
<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;{</div>
<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;    <span class="keywordflow">return</span> sin16( theta + 16384);</div>
<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;}</div>
<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;</div>
<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;</div>
<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;<span class="comment">// sin8 &amp; cos8</span></div>
<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;<span class="comment">//        Fast 8-bit approximations of sin(x) &amp; cos(x).</span></div>
<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;<span class="comment">//        Input angle is an unsigned int from 0-255.</span></div>
<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;<span class="comment">//        Output is an unsigned int from 0 to 255.</span></div>
<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;<span class="comment">//        This approximation can vary to to 2%</span></div>
<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;<span class="comment">//        from the floating point value you&#39;d get by doing</span></div>
<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;<span class="comment">//          float s = (sin( x ) * 128.0) + 128;</span></div>
<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;<span class="comment">//        Don&#39;t use this approximation for calculating the</span></div>
<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;<span class="comment">//        &quot;real&quot; trigonometric calculations, but it&#39;s great</span></div>
<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;<span class="comment">//        for art projects and LED displays.</span></div>
<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;<span class="comment">//        On Arduino/AVR, this approximation is more than</span></div>
<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;<span class="comment">//        20X faster than floating point sin(x) and cos(x)</span></div>
<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;</div>
<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;<span class="preprocessor">#if defined(__AVR__) &amp;&amp; !defined(LIB8_ATTINY)</span></div>
<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;<span class="preprocessor">#define sin8 sin8_avr</span></div>
<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;<span class="preprocessor">#else</span></div>
<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;<span class="preprocessor">#define sin8 sin8_C</span></div>
<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;</div>
<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;</div>
<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;<span class="keyword">const</span> uint8_t b_m16_interleave[] = { 0, 49, 49, 41, 90, 27, 117, 10 };</div>
<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;</div>
<div class="line"><a name="l00159"></a><span class="lineno"><a class="line" href="group___trig.html#ga6aa1f993cbbc427d80da1ee2ccca86e7">  159</a></span>&#160;LIB8STATIC uint8_t  <a class="code" href="group___trig.html#ga6aa1f993cbbc427d80da1ee2ccca86e7">sin8_avr</a>( uint8_t theta)</div>
<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;{</div>
<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;    uint8_t offset = theta;</div>
<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;</div>
<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;    <span class="keyword">asm</span> <span class="keyword">volatile</span>(</div>
<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;                 <span class="stringliteral">&quot;sbrc %[theta],6         \n\t&quot;</span></div>
<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;                 <span class="stringliteral">&quot;com  %[offset]           \n\t&quot;</span></div>
<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;                 : [theta] <span class="stringliteral">&quot;+r&quot;</span> (theta), [offset] <span class="stringliteral">&quot;+r&quot;</span> (offset)</div>
<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;                 );</div>
<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;</div>
<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;    offset &amp;= 0x3F; <span class="comment">// 0..63</span></div>
<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;</div>
<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;    uint8_t secoffset  = offset &amp; 0x0F; <span class="comment">// 0..15</span></div>
<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;    <span class="keywordflow">if</span>( theta &amp; 0x40) secoffset++;</div>
<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;</div>
<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;    uint8_t m16; uint8_t b;</div>
<div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;</div>
<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;    uint8_t section = offset &gt;&gt; 4; <span class="comment">// 0..3</span></div>
<div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;    uint8_t s2 = section * 2;</div>
<div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;</div>
<div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;    <span class="keyword">const</span> uint8_t* p = b_m16_interleave;</div>
<div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;    p += s2;</div>
<div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;    b   = *p;</div>
<div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;    p++;</div>
<div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;    m16 = *p;</div>
<div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;</div>
<div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;    uint8_t mx;</div>
<div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;    uint8_t xr1;</div>
<div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;    <span class="keyword">asm</span> <span class="keyword">volatile</span>(</div>
<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;                 <span class="stringliteral">&quot;mul %[m16],%[secoffset]   \n\t&quot;</span></div>
<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;                 <span class="stringliteral">&quot;mov %[mx],r0              \n\t&quot;</span></div>
<div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;                 <span class="stringliteral">&quot;mov %[xr1],r1             \n\t&quot;</span></div>
<div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;                 <span class="stringliteral">&quot;eor  r1, r1               \n\t&quot;</span></div>
<div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;                 <span class="stringliteral">&quot;swap %[mx]                \n\t&quot;</span></div>
<div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;                 <span class="stringliteral">&quot;andi %[mx],0x0F           \n\t&quot;</span></div>
<div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160;                 <span class="stringliteral">&quot;swap %[xr1]               \n\t&quot;</span></div>
<div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;                 <span class="stringliteral">&quot;andi %[xr1], 0xF0         \n\t&quot;</span></div>
<div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160;                 <span class="stringliteral">&quot;or   %[mx], %[xr1]        \n\t&quot;</span></div>
<div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;                 : [mx] <span class="stringliteral">&quot;=r&quot;</span> (mx), [xr1] <span class="stringliteral">&quot;=r&quot;</span> (xr1)</div>
<div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;                 : [m16] <span class="stringliteral">&quot;r&quot;</span> (m16), [secoffset] <span class="stringliteral">&quot;r&quot;</span> (secoffset)</div>
<div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;                 );</div>
<div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;</div>
<div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160;    int8_t y = mx + b;</div>
<div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160;    <span class="keywordflow">if</span>( theta &amp; 0x80 ) y = -y;</div>
<div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;</div>
<div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160;    y += 128;</div>
<div class="line"><a name="l00205"></a><span class="lineno">  205</span>&#160;</div>
<div class="line"><a name="l00206"></a><span class="lineno">  206</span>&#160;    <span class="keywordflow">return</span> y;</div>
<div class="line"><a name="l00207"></a><span class="lineno">  207</span>&#160;}</div>
<div class="line"><a name="l00208"></a><span class="lineno">  208</span>&#160;</div>
<div class="line"><a name="l00209"></a><span class="lineno">  209</span>&#160;</div>
<div class="line"><a name="l00217"></a><span class="lineno"><a class="line" href="group___trig.html#ga46933a9b42921c6605588268d11f7c1e">  217</a></span>&#160;LIB8STATIC uint8_t <a class="code" href="group___trig.html#ga46933a9b42921c6605588268d11f7c1e">sin8_C</a>( uint8_t theta)</div>
<div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160;{</div>
<div class="line"><a name="l00219"></a><span class="lineno">  219</span>&#160;    uint8_t offset = theta;</div>
<div class="line"><a name="l00220"></a><span class="lineno">  220</span>&#160;    <span class="keywordflow">if</span>( theta &amp; 0x40 ) {</div>
<div class="line"><a name="l00221"></a><span class="lineno">  221</span>&#160;        offset = (uint8_t)255 - offset;</div>
<div class="line"><a name="l00222"></a><span class="lineno">  222</span>&#160;    }</div>
<div class="line"><a name="l00223"></a><span class="lineno">  223</span>&#160;    offset &amp;= 0x3F; <span class="comment">// 0..63</span></div>
<div class="line"><a name="l00224"></a><span class="lineno">  224</span>&#160;</div>
<div class="line"><a name="l00225"></a><span class="lineno">  225</span>&#160;    uint8_t secoffset  = offset &amp; 0x0F; <span class="comment">// 0..15</span></div>
<div class="line"><a name="l00226"></a><span class="lineno">  226</span>&#160;    <span class="keywordflow">if</span>( theta &amp; 0x40) secoffset++;</div>
<div class="line"><a name="l00227"></a><span class="lineno">  227</span>&#160;</div>
<div class="line"><a name="l00228"></a><span class="lineno">  228</span>&#160;    uint8_t section = offset &gt;&gt; 4; <span class="comment">// 0..3</span></div>
<div class="line"><a name="l00229"></a><span class="lineno">  229</span>&#160;    uint8_t s2 = section * 2;</div>
<div class="line"><a name="l00230"></a><span class="lineno">  230</span>&#160;    <span class="keyword">const</span> uint8_t* p = b_m16_interleave;</div>
<div class="line"><a name="l00231"></a><span class="lineno">  231</span>&#160;    p += s2;</div>
<div class="line"><a name="l00232"></a><span class="lineno">  232</span>&#160;    uint8_t b   =  *p;</div>
<div class="line"><a name="l00233"></a><span class="lineno">  233</span>&#160;    p++;</div>
<div class="line"><a name="l00234"></a><span class="lineno">  234</span>&#160;    uint8_t m16 =  *p;</div>
<div class="line"><a name="l00235"></a><span class="lineno">  235</span>&#160;</div>
<div class="line"><a name="l00236"></a><span class="lineno">  236</span>&#160;    uint8_t mx = (m16 * secoffset) &gt;&gt; 4;</div>
<div class="line"><a name="l00237"></a><span class="lineno">  237</span>&#160;</div>
<div class="line"><a name="l00238"></a><span class="lineno">  238</span>&#160;    int8_t y = mx + b;</div>
<div class="line"><a name="l00239"></a><span class="lineno">  239</span>&#160;    <span class="keywordflow">if</span>( theta &amp; 0x80 ) y = -y;</div>
<div class="line"><a name="l00240"></a><span class="lineno">  240</span>&#160;</div>
<div class="line"><a name="l00241"></a><span class="lineno">  241</span>&#160;    y += 128;</div>
<div class="line"><a name="l00242"></a><span class="lineno">  242</span>&#160;</div>
<div class="line"><a name="l00243"></a><span class="lineno">  243</span>&#160;    <span class="keywordflow">return</span> y;</div>
<div class="line"><a name="l00244"></a><span class="lineno">  244</span>&#160;}</div>
<div class="line"><a name="l00245"></a><span class="lineno">  245</span>&#160;</div>
<div class="line"><a name="l00253"></a><span class="lineno"><a class="line" href="group___trig.html#ga4432f985c94f5bff715db402d767b0e8">  253</a></span>&#160;LIB8STATIC uint8_t <a class="code" href="group___trig.html#ga4432f985c94f5bff715db402d767b0e8">cos8</a>( uint8_t theta)</div>
<div class="line"><a name="l00254"></a><span class="lineno">  254</span>&#160;{</div>
<div class="line"><a name="l00255"></a><span class="lineno">  255</span>&#160;    <span class="keywordflow">return</span> sin8( theta + 64);</div>
<div class="line"><a name="l00256"></a><span class="lineno">  256</span>&#160;}</div>
<div class="line"><a name="l00257"></a><span class="lineno">  257</span>&#160;</div>
<div class="line"><a name="l00259"></a><span class="lineno">  259</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="ttc" id="group___trig_html_ga056952ebed39f55880bb353857b47075"><div class="ttname"><a href="group___trig.html#ga056952ebed39f55880bb353857b47075">cos16</a></div><div class="ttdeci">LIB8STATIC int16_t cos16(uint16_t theta)</div><div class="ttdoc">Fast 16-bit approximation of cos(x). </div><div class="ttdef"><b>Definition:</b> <a href="trig8_8h_source.html#l00120">trig8.h:120</a></div></div>
<div class="ttc" id="group___trig_html_ga4432f985c94f5bff715db402d767b0e8"><div class="ttname"><a href="group___trig.html#ga4432f985c94f5bff715db402d767b0e8">cos8</a></div><div class="ttdeci">LIB8STATIC uint8_t cos8(uint8_t theta)</div><div class="ttdoc">Fast 8-bit approximation of cos(x). </div><div class="ttdef"><b>Definition:</b> <a href="trig8_8h_source.html#l00253">trig8.h:253</a></div></div>
<div class="ttc" id="group___trig_html_ga6aa1f993cbbc427d80da1ee2ccca86e7"><div class="ttname"><a href="group___trig.html#ga6aa1f993cbbc427d80da1ee2ccca86e7">sin8_avr</a></div><div class="ttdeci">LIB8STATIC uint8_t sin8_avr(uint8_t theta)</div><div class="ttdoc">Fast 8-bit approximation of sin(x). </div><div class="ttdef"><b>Definition:</b> <a href="trig8_8h_source.html#l00159">trig8.h:159</a></div></div>
<div class="ttc" id="group___trig_html_ga0890962cb06b267617f4b06d7e9be5eb"><div class="ttname"><a href="group___trig.html#ga0890962cb06b267617f4b06d7e9be5eb">sin16_C</a></div><div class="ttdeci">LIB8STATIC int16_t sin16_C(uint16_t theta)</div><div class="ttdoc">Fast 16-bit approximation of sin(x). </div><div class="ttdef"><b>Definition:</b> <a href="trig8_8h_source.html#l00088">trig8.h:88</a></div></div>
<div class="ttc" id="group___trig_html_ga660ff60bfc5116525e50187de72009fc"><div class="ttname"><a href="group___trig.html#ga660ff60bfc5116525e50187de72009fc">sin16_avr</a></div><div class="ttdeci">LIB8STATIC int16_t sin16_avr(uint16_t theta)</div><div class="ttdoc">Fast 16-bit approximation of sin(x). </div><div class="ttdef"><b>Definition:</b> <a href="trig8_8h_source.html#l00030">trig8.h:30</a></div></div>
<div class="ttc" id="group___trig_html_ga46933a9b42921c6605588268d11f7c1e"><div class="ttname"><a href="group___trig.html#ga46933a9b42921c6605588268d11f7c1e">sin8_C</a></div><div class="ttdeci">LIB8STATIC uint8_t sin8_C(uint8_t theta)</div><div class="ttdoc">Fast 8-bit approximation of sin(x). </div><div class="ttdef"><b>Definition:</b> <a href="trig8_8h_source.html#l00217">trig8.h:217</a></div></div>
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