1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
|
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
<html xmlns="http://www.w3.org/1999/xhtml">
<head>
<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
<meta http-equiv="X-UA-Compatible" content="IE=9"/>
<meta name="generator" content="Doxygen 1.8.9.1"/>
<title>FastLED: lib8tion/math8.h Source File</title>
<link href="tabs.css" rel="stylesheet" type="text/css"/>
<script type="text/javascript" src="jquery.js"></script>
<script type="text/javascript" src="dynsections.js"></script>
<link href="navtree.css" rel="stylesheet" type="text/css"/>
<script type="text/javascript" src="resize.js"></script>
<script type="text/javascript" src="navtreedata.js"></script>
<script type="text/javascript" src="navtree.js"></script>
<script type="text/javascript">
$(document).ready(initResizable);
$(window).load(resizeHeight);
</script>
<link href="search/search.css" rel="stylesheet" type="text/css"/>
<script type="text/javascript" src="search/searchdata.js"></script>
<script type="text/javascript" src="search/search.js"></script>
<script type="text/javascript">
$(document).ready(function() { init_search(); });
</script>
<link href="doxygen.css" rel="stylesheet" type="text/css" />
</head>
<body>
<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
<div id="titlearea">
<table cellspacing="0" cellpadding="0">
<tbody>
<tr style="height: 56px;">
<td style="padding-left: 0.5em;">
<div id="projectname">FastLED
 <span id="projectnumber">3.1</span>
</div>
</td>
</tr>
</tbody>
</table>
</div>
<!-- end header part -->
<!-- Generated by Doxygen 1.8.9.1 -->
<script type="text/javascript">
var searchBox = new SearchBox("searchBox", "search",false,'Search');
</script>
<div id="navrow1" class="tabs">
<ul class="tablist">
<li><a href="index.html"><span>Main Page</span></a></li>
<li><a href="pages.html"><span>Related Pages</span></a></li>
<li><a href="modules.html"><span>Modules</span></a></li>
<li><a href="annotated.html"><span>Classes</span></a></li>
<li class="current"><a href="files.html"><span>Files</span></a></li>
<li>
<div id="MSearchBox" class="MSearchBoxInactive">
<span class="left">
<img id="MSearchSelect" src="search/mag_sel.png"
onmouseover="return searchBox.OnSearchSelectShow()"
onmouseout="return searchBox.OnSearchSelectHide()"
alt=""/>
<input type="text" id="MSearchField" value="Search" accesskey="S"
onfocus="searchBox.OnSearchFieldFocus(true)"
onblur="searchBox.OnSearchFieldFocus(false)"
onkeyup="searchBox.OnSearchFieldChange(event)"/>
</span><span class="right">
<a id="MSearchClose" href="javascript:searchBox.CloseResultsWindow()"><img id="MSearchCloseImg" border="0" src="search/close.png" alt=""/></a>
</span>
</div>
</li>
</ul>
</div>
<div id="navrow2" class="tabs2">
<ul class="tablist">
<li><a href="files.html"><span>File List</span></a></li>
<li><a href="globals.html"><span>File Members</span></a></li>
</ul>
</div>
</div><!-- top -->
<div id="side-nav" class="ui-resizable side-nav-resizable">
<div id="nav-tree">
<div id="nav-tree-contents">
<div id="nav-sync" class="sync"></div>
</div>
</div>
<div id="splitbar" style="-moz-user-select:none;"
class="ui-resizable-handle">
</div>
</div>
<script type="text/javascript">
$(document).ready(function(){initNavTree('math8_8h_source.html','');});
</script>
<div id="doc-content">
<!-- window showing the filter options -->
<div id="MSearchSelectWindow"
onmouseover="return searchBox.OnSearchSelectShow()"
onmouseout="return searchBox.OnSearchSelectHide()"
onkeydown="return searchBox.OnSearchSelectKey(event)">
</div>
<!-- iframe showing the search results (closed by default) -->
<div id="MSearchResultsWindow">
<iframe src="javascript:void(0)" frameborder="0"
name="MSearchResults" id="MSearchResults">
</iframe>
</div>
<div class="header">
<div class="headertitle">
<div class="title">math8.h</div> </div>
</div><!--header-->
<div class="contents">
<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="preprocessor">#ifndef __INC_LIB8TION_MATH_H</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="preprocessor">#define __INC_LIB8TION_MATH_H</span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> </div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> </div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> </div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span> </div>
<div class="line"><a name="l00021"></a><span class="lineno"><a class="line" href="group___math.html#ga07133b3085824d0fcd4f5086d286c4b5"> 21</a></span> LIB8STATIC_ALWAYS_INLINE uint8_t <a class="code" href="group___math.html#ga07133b3085824d0fcd4f5086d286c4b5">qadd8</a>( uint8_t i, uint8_t j)</div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span> {</div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="preprocessor">#if QADD8_C == 1</span></div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> t = i + j;</div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>  <span class="keywordflow">if</span>( t > 255) t = 255;</div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>  <span class="keywordflow">return</span> t;</div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#elif QADD8_AVRASM == 1</span></div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  <span class="keyword">asm</span> <span class="keyword">volatile</span>(</div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  <span class="comment">/* First, add j to i, conditioning the C flag */</span></div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  <span class="stringliteral">"add %0, %1 \n\t"</span></div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> </div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  <span class="comment">/* Now test the C flag.</span></div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="comment"> If C is clear, we branch around a load of 0xFF into i.</span></div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="comment"> If C is set, we go ahead and load 0xFF into i.</span></div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  <span class="stringliteral">"brcc L_%= \n\t"</span></div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  <span class="stringliteral">"ldi %0, 0xFF \n\t"</span></div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  <span class="stringliteral">"L_%=: "</span></div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  : <span class="stringliteral">"+a"</span> (i)</div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  : <span class="stringliteral">"a"</span> (j) );</div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  <span class="keywordflow">return</span> i;</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span> <span class="preprocessor">#elif QADD8_ARM_DSP_ASM == 1</span></div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  <span class="keyword">asm</span> <span class="keyword">volatile</span>( <span class="stringliteral">"uqadd8 %0, %0, %1"</span> : <span class="stringliteral">"+r"</span> (i) : <span class="stringliteral">"r"</span> (j));</div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  <span class="keywordflow">return</span> i;</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span> <span class="preprocessor">#else</span></div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span> <span class="preprocessor">#error "No implementation for qadd8 available."</span></div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span> }</div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span> </div>
<div class="line"><a name="l00054"></a><span class="lineno"><a class="line" href="group___math.html#ga622205a211419db7dd1f582923aec68d"> 54</a></span> LIB8STATIC_ALWAYS_INLINE int8_t <a class="code" href="group___math.html#ga622205a211419db7dd1f582923aec68d">qadd7</a>( int8_t i, int8_t j)</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span> {</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span> <span class="preprocessor">#if QADD7_C == 1</span></div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  int16_t t = i + j;</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <span class="keywordflow">if</span>( t > 127) t = 127;</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <span class="keywordflow">return</span> t;</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span> <span class="preprocessor">#elif QADD7_AVRASM == 1</span></div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  <span class="keyword">asm</span> <span class="keyword">volatile</span>(</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  <span class="comment">/* First, add j to i, conditioning the V flag */</span></div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  <span class="stringliteral">"add %0, %1 \n\t"</span></div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span> </div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <span class="comment">/* Now test the V flag.</span></div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span> <span class="comment"> If V is clear, we branch around a load of 0x7F into i.</span></div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span> <span class="comment"> If V is set, we go ahead and load 0x7F into i.</span></div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  <span class="stringliteral">"brvc L_%= \n\t"</span></div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <span class="stringliteral">"ldi %0, 0x7F \n\t"</span></div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  <span class="stringliteral">"L_%=: "</span></div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  : <span class="stringliteral">"+a"</span> (i)</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  : <span class="stringliteral">"a"</span> (j) );</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span> </div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <span class="keywordflow">return</span> i;</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span> <span class="preprocessor">#elif QADD7_ARM_DSP_ASM == 1</span></div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  <span class="keyword">asm</span> <span class="keyword">volatile</span>( <span class="stringliteral">"qadd8 %0, %0, %1"</span> : <span class="stringliteral">"+r"</span> (i) : <span class="stringliteral">"r"</span> (j));</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  <span class="keywordflow">return</span> i;</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span> <span class="preprocessor">#else</span></div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span> <span class="preprocessor">#error "No implementation for qadd7 available."</span></div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span> }</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span> </div>
<div class="line"><a name="l00086"></a><span class="lineno"><a class="line" href="group___math.html#gae261576a4c8155d6c0ba8615b2d2ecb3"> 86</a></span> LIB8STATIC_ALWAYS_INLINE uint8_t <a class="code" href="group___math.html#gae261576a4c8155d6c0ba8615b2d2ecb3">qsub8</a>( uint8_t i, uint8_t j)</div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span> {</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span> <span class="preprocessor">#if QSUB8_C == 1</span></div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  <span class="keywordtype">int</span> t = i - j;</div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  <span class="keywordflow">if</span>( t < 0) t = 0;</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  <span class="keywordflow">return</span> t;</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span> <span class="preprocessor">#elif QSUB8_AVRASM == 1</span></div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span> </div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  <span class="keyword">asm</span> <span class="keyword">volatile</span>(</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  <span class="comment">/* First, subtract j from i, conditioning the C flag */</span></div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  <span class="stringliteral">"sub %0, %1 \n\t"</span></div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span> </div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  <span class="comment">/* Now test the C flag.</span></div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span> <span class="comment"> If C is clear, we branch around a load of 0x00 into i.</span></div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span> <span class="comment"> If C is set, we go ahead and load 0x00 into i.</span></div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  <span class="stringliteral">"brcc L_%= \n\t"</span></div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  <span class="stringliteral">"ldi %0, 0x00 \n\t"</span></div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <span class="stringliteral">"L_%=: "</span></div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  : <span class="stringliteral">"+a"</span> (i)</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  : <span class="stringliteral">"a"</span> (j) );</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span> </div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  <span class="keywordflow">return</span> i;</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span> <span class="preprocessor">#else</span></div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span> <span class="preprocessor">#error "No implementation for qsub8 available."</span></div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span> }</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span> </div>
<div class="line"><a name="l00115"></a><span class="lineno"><a class="line" href="group___math.html#ga703ea9255d0701cc154e110ae00dea04"> 115</a></span> LIB8STATIC_ALWAYS_INLINE uint8_t <a class="code" href="group___math.html#ga703ea9255d0701cc154e110ae00dea04">add8</a>( uint8_t i, uint8_t j)</div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span> {</div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span> <span class="preprocessor">#if ADD8_C == 1</span></div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  <span class="keywordtype">int</span> t = i + j;</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  <span class="keywordflow">return</span> t;</div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span> <span class="preprocessor">#elif ADD8_AVRASM == 1</span></div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  <span class="comment">// Add j to i, period.</span></div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  <span class="keyword">asm</span> <span class="keyword">volatile</span>( <span class="stringliteral">"add %0, %1"</span> : <span class="stringliteral">"+a"</span> (i) : <span class="stringliteral">"a"</span> (j));</div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  <span class="keywordflow">return</span> i;</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span> <span class="preprocessor">#else</span></div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span> <span class="preprocessor">#error "No implementation for add8 available."</span></div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span> }</div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span> </div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span> </div>
<div class="line"><a name="l00131"></a><span class="lineno"><a class="line" href="group___math.html#gad2d87829a6327876eed4482aa515dfa9"> 131</a></span> LIB8STATIC_ALWAYS_INLINE uint8_t <a class="code" href="group___math.html#gad2d87829a6327876eed4482aa515dfa9">sub8</a>( uint8_t i, uint8_t j)</div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span> {</div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span> <span class="preprocessor">#if SUB8_C == 1</span></div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  <span class="keywordtype">int</span> t = i - j;</div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  <span class="keywordflow">return</span> t;</div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span> <span class="preprocessor">#elif SUB8_AVRASM == 1</span></div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  <span class="comment">// Subtract j from i, period.</span></div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  <span class="keyword">asm</span> <span class="keyword">volatile</span>( <span class="stringliteral">"sub %0, %1"</span> : <span class="stringliteral">"+a"</span> (i) : <span class="stringliteral">"a"</span> (j));</div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  <span class="keywordflow">return</span> i;</div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span> <span class="preprocessor">#else</span></div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span> <span class="preprocessor">#error "No implementation for sub8 available."</span></div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span> }</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span> </div>
<div class="line"><a name="l00148"></a><span class="lineno"><a class="line" href="group___math.html#ga624651f796f4cf0755c8cbdb794e41d9"> 148</a></span> LIB8STATIC_ALWAYS_INLINE uint8_t <a class="code" href="group___math.html#ga624651f796f4cf0755c8cbdb794e41d9">avg8</a>( uint8_t i, uint8_t j)</div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span> {</div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span> <span class="preprocessor">#if AVG8_C == 1</span></div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  <span class="keywordflow">return</span> (i + j) >> 1;</div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span> <span class="preprocessor">#elif AVG8_AVRASM == 1</span></div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  <span class="keyword">asm</span> <span class="keyword">volatile</span>(</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  <span class="comment">/* First, add j to i, 9th bit overflows into C flag */</span></div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  <span class="stringliteral">"add %0, %1 \n\t"</span></div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  <span class="comment">/* Divide by two, moving C flag into high 8th bit */</span></div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  <span class="stringliteral">"ror %0 \n\t"</span></div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  : <span class="stringliteral">"+a"</span> (i)</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  : <span class="stringliteral">"a"</span> (j) );</div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  <span class="keywordflow">return</span> i;</div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span> <span class="preprocessor">#else</span></div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span> <span class="preprocessor">#error "No implementation for avg8 available."</span></div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span> }</div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span> </div>
<div class="line"><a name="l00169"></a><span class="lineno"><a class="line" href="group___math.html#ga1f46842559931ff842c8f9a310174a3a"> 169</a></span> LIB8STATIC_ALWAYS_INLINE uint16_t <a class="code" href="group___math.html#ga1f46842559931ff842c8f9a310174a3a">avg16</a>( uint16_t i, uint16_t j)</div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span> {</div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span> <span class="preprocessor">#if AVG16_C == 1</span></div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  <span class="keywordflow">return</span> (uint32_t)((uint32_t)(i) + (uint32_t)(j)) >> 1;</div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span> <span class="preprocessor">#elif AVG16_AVRASM == 1</span></div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  <span class="keyword">asm</span> <span class="keyword">volatile</span>(</div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  <span class="comment">/* First, add jLo (heh) to iLo, 9th bit overflows into C flag */</span></div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  <span class="stringliteral">"add %A[i], %A[j] \n\t"</span></div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  <span class="comment">/* Now, add C + jHi to iHi, 17th bit overflows into C flag */</span></div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  <span class="stringliteral">"adc %B[i], %B[j] \n\t"</span></div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  <span class="comment">/* Divide iHi by two, moving C flag into high 16th bit, old 9th bit now in C */</span></div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  <span class="stringliteral">"ror %B[i] \n\t"</span></div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  <span class="comment">/* Divide iLo by two, moving C flag into high 8th bit */</span></div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  <span class="stringliteral">"ror %A[i] \n\t"</span></div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  : [i] <span class="stringliteral">"+a"</span> (i)</div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  : [j] <span class="stringliteral">"a"</span> (j) );</div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  <span class="keywordflow">return</span> i;</div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span> <span class="preprocessor">#else</span></div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span> <span class="preprocessor">#error "No implementation for avg16 available."</span></div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span> <span class="preprocessor">#endif</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> </div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span> </div>
<div class="line"><a name="l00196"></a><span class="lineno"><a class="line" href="group___math.html#gad7af6a5b49aef34ab79e850ddb7d7911"> 196</a></span> LIB8STATIC_ALWAYS_INLINE int8_t <a class="code" href="group___math.html#gad7af6a5b49aef34ab79e850ddb7d7911">avg7</a>( int8_t i, int8_t j)</div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span> {</div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span> <span class="preprocessor">#if AVG7_C == 1</span></div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  <span class="keywordflow">return</span> ((i + j) >> 1) + (i & 0x1);</div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span> <span class="preprocessor">#elif AVG7_AVRASM == 1</span></div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>  <span class="keyword">asm</span> <span class="keyword">volatile</span>(</div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  <span class="stringliteral">"asr %1 \n\t"</span></div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>  <span class="stringliteral">"asr %0 \n\t"</span></div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  <span class="stringliteral">"adc %0, %1 \n\t"</span></div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  : <span class="stringliteral">"+a"</span> (i)</div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  : <span class="stringliteral">"a"</span> (j) );</div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  <span class="keywordflow">return</span> i;</div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span> <span class="preprocessor">#else</span></div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span> <span class="preprocessor">#error "No implementation for avg7 available."</span></div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span> }</div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span> </div>
<div class="line"><a name="l00217"></a><span class="lineno"><a class="line" href="group___math.html#ga2ad60cb8a09e6aab6d63f1a0930bee09"> 217</a></span> LIB8STATIC_ALWAYS_INLINE int16_t <a class="code" href="group___math.html#ga2ad60cb8a09e6aab6d63f1a0930bee09">avg15</a>( int16_t i, int16_t j)</div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span> {</div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span> <span class="preprocessor">#if AVG15_C == 1</span></div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  <span class="keywordflow">return</span> ((int32_t)((int32_t)(i) + (int32_t)(j)) >> 1) + (i & 0x1);</div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span> <span class="preprocessor">#elif AVG15_AVRASM == 1</span></div>
<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>  <span class="keyword">asm</span> <span class="keyword">volatile</span>(</div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  <span class="comment">/* first divide j by 2, throwing away lowest bit */</span></div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  <span class="stringliteral">"asr %B[j] \n\t"</span></div>
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>  <span class="stringliteral">"ror %A[j] \n\t"</span></div>
<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>  <span class="comment">/* now divide i by 2, with lowest bit going into C */</span></div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>  <span class="stringliteral">"asr %B[i] \n\t"</span></div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  <span class="stringliteral">"ror %A[i] \n\t"</span></div>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  <span class="comment">/* add j + C to i */</span></div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  <span class="stringliteral">"adc %A[i], %A[j] \n\t"</span></div>
<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  <span class="stringliteral">"adc %B[i], %B[j] \n\t"</span></div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  : [i] <span class="stringliteral">"+a"</span> (i)</div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  : [j] <span class="stringliteral">"a"</span> (j) );</div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  <span class="keywordflow">return</span> i;</div>
<div class="line"><a name="l00235"></a><span class="lineno"> 235</span> <span class="preprocessor">#else</span></div>
<div class="line"><a name="l00236"></a><span class="lineno"> 236</span> <span class="preprocessor">#error "No implementation for avg15 available."</span></div>
<div class="line"><a name="l00237"></a><span class="lineno"> 237</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00238"></a><span class="lineno"> 238</span> }</div>
<div class="line"><a name="l00239"></a><span class="lineno"> 239</span> </div>
<div class="line"><a name="l00240"></a><span class="lineno"> 240</span> </div>
<div class="line"><a name="l00249"></a><span class="lineno"><a class="line" href="group___math.html#gaa3beb6c31141a13c1a047b926d065ca2"> 249</a></span> LIB8STATIC_ALWAYS_INLINE uint8_t <a class="code" href="group___math.html#gaa3beb6c31141a13c1a047b926d065ca2">mod8</a>( uint8_t a, uint8_t m)</div>
<div class="line"><a name="l00250"></a><span class="lineno"> 250</span> {</div>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span> <span class="preprocessor">#if defined(__AVR__)</span></div>
<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  <span class="keyword">asm</span> <span class="keyword">volatile</span> (</div>
<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>  <span class="stringliteral">"L_%=: sub %[a],%[m] \n\t"</span></div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  <span class="stringliteral">" brcc L_%= \n\t"</span></div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>  <span class="stringliteral">" add %[a],%[m] \n\t"</span></div>
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  : [a] <span class="stringliteral">"+r"</span> (a)</div>
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  : [m] <span class="stringliteral">"r"</span> (m)</div>
<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>  );</div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span> <span class="preprocessor">#else</span></div>
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>  <span class="keywordflow">while</span>( a >= m) a -= m;</div>
<div class="line"><a name="l00261"></a><span class="lineno"> 261</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>  <span class="keywordflow">return</span> a;</div>
<div class="line"><a name="l00263"></a><span class="lineno"> 263</span> }</div>
<div class="line"><a name="l00264"></a><span class="lineno"> 264</span> </div>
<div class="line"><a name="l00276"></a><span class="lineno"><a class="line" href="group___math.html#ga2bcd51c47538dbc933999382e272a7a7"> 276</a></span> LIB8STATIC uint8_t <a class="code" href="group___math.html#ga2bcd51c47538dbc933999382e272a7a7">addmod8</a>( uint8_t a, uint8_t b, uint8_t m)</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">#if defined(__AVR__)</span></div>
<div class="line"><a name="l00279"></a><span class="lineno"> 279</span>  <span class="keyword">asm</span> <span class="keyword">volatile</span> (</div>
<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>  <span class="stringliteral">" add %[a],%[b] \n\t"</span></div>
<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>  <span class="stringliteral">"L_%=: sub %[a],%[m] \n\t"</span></div>
<div class="line"><a name="l00282"></a><span class="lineno"> 282</span>  <span class="stringliteral">" brcc L_%= \n\t"</span></div>
<div class="line"><a name="l00283"></a><span class="lineno"> 283</span>  <span class="stringliteral">" add %[a],%[m] \n\t"</span></div>
<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>  : [a] <span class="stringliteral">"+r"</span> (a)</div>
<div class="line"><a name="l00285"></a><span class="lineno"> 285</span>  : [b] <span class="stringliteral">"r"</span> (b), [m] <span class="stringliteral">"r"</span> (m)</div>
<div class="line"><a name="l00286"></a><span class="lineno"> 286</span>  );</div>
<div class="line"><a name="l00287"></a><span class="lineno"> 287</span> <span class="preprocessor">#else</span></div>
<div class="line"><a name="l00288"></a><span class="lineno"> 288</span>  a += b;</div>
<div class="line"><a name="l00289"></a><span class="lineno"> 289</span>  <span class="keywordflow">while</span>( a >= m) a -= m;</div>
<div class="line"><a name="l00290"></a><span class="lineno"> 290</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00291"></a><span class="lineno"> 291</span>  <span class="keywordflow">return</span> a;</div>
<div class="line"><a name="l00292"></a><span class="lineno"> 292</span> }</div>
<div class="line"><a name="l00293"></a><span class="lineno"> 293</span> </div>
<div class="line"><a name="l00295"></a><span class="lineno"><a class="line" href="group___math.html#gaf170916b55c493ea038c1d96b338e059"> 295</a></span> LIB8STATIC_ALWAYS_INLINE uint8_t <a class="code" href="group___math.html#gaf170916b55c493ea038c1d96b338e059">mul8</a>( uint8_t i, uint8_t j)</div>
<div class="line"><a name="l00296"></a><span class="lineno"> 296</span> {</div>
<div class="line"><a name="l00297"></a><span class="lineno"> 297</span> <span class="preprocessor">#if MUL8_C == 1</span></div>
<div class="line"><a name="l00298"></a><span class="lineno"> 298</span>  <span class="keywordflow">return</span> ((<span class="keywordtype">int</span>)i * (<span class="keywordtype">int</span>)(j) ) & 0xFF;</div>
<div class="line"><a name="l00299"></a><span class="lineno"> 299</span> <span class="preprocessor">#elif MUL8_AVRASM == 1</span></div>
<div class="line"><a name="l00300"></a><span class="lineno"> 300</span>  <span class="keyword">asm</span> <span class="keyword">volatile</span>(</div>
<div class="line"><a name="l00301"></a><span class="lineno"> 301</span>  <span class="comment">/* Multiply 8-bit i * 8-bit j, giving 16-bit r1,r0 */</span></div>
<div class="line"><a name="l00302"></a><span class="lineno"> 302</span>  <span class="stringliteral">"mul %0, %1 \n\t"</span></div>
<div class="line"><a name="l00303"></a><span class="lineno"> 303</span>  <span class="comment">/* Extract the LOW 8-bits (r0) */</span></div>
<div class="line"><a name="l00304"></a><span class="lineno"> 304</span>  <span class="stringliteral">"mov %0, r0 \n\t"</span></div>
<div class="line"><a name="l00305"></a><span class="lineno"> 305</span>  <span class="comment">/* Restore r1 to "0"; it's expected to always be that */</span></div>
<div class="line"><a name="l00306"></a><span class="lineno"> 306</span>  <span class="stringliteral">"clr __zero_reg__ \n\t"</span></div>
<div class="line"><a name="l00307"></a><span class="lineno"> 307</span>  : <span class="stringliteral">"+a"</span> (i)</div>
<div class="line"><a name="l00308"></a><span class="lineno"> 308</span>  : <span class="stringliteral">"a"</span> (j)</div>
<div class="line"><a name="l00309"></a><span class="lineno"> 309</span>  : <span class="stringliteral">"r0"</span>, <span class="stringliteral">"r1"</span>);</div>
<div class="line"><a name="l00310"></a><span class="lineno"> 310</span> </div>
<div class="line"><a name="l00311"></a><span class="lineno"> 311</span>  <span class="keywordflow">return</span> i;</div>
<div class="line"><a name="l00312"></a><span class="lineno"> 312</span> <span class="preprocessor">#else</span></div>
<div class="line"><a name="l00313"></a><span class="lineno"> 313</span> <span class="preprocessor">#error "No implementation for mul8 available."</span></div>
<div class="line"><a name="l00314"></a><span class="lineno"> 314</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00315"></a><span class="lineno"> 315</span> }</div>
<div class="line"><a name="l00316"></a><span class="lineno"> 316</span> </div>
<div class="line"><a name="l00317"></a><span class="lineno"> 317</span> </div>
<div class="line"><a name="l00320"></a><span class="lineno"><a class="line" href="group___math.html#ga17d0d692de142f4d4379b8cc899eaefb"> 320</a></span> LIB8STATIC_ALWAYS_INLINE uint8_t <a class="code" href="group___math.html#ga17d0d692de142f4d4379b8cc899eaefb">qmul8</a>( uint8_t i, uint8_t j)</div>
<div class="line"><a name="l00321"></a><span class="lineno"> 321</span> {</div>
<div class="line"><a name="l00322"></a><span class="lineno"> 322</span> <span class="preprocessor">#if QMUL8_C == 1</span></div>
<div class="line"><a name="l00323"></a><span class="lineno"> 323</span>  <span class="keywordtype">int</span> p = ((int)i * (<span class="keywordtype">int</span>)(j) );</div>
<div class="line"><a name="l00324"></a><span class="lineno"> 324</span>  <span class="keywordflow">if</span>( p > 255) p = 255;</div>
<div class="line"><a name="l00325"></a><span class="lineno"> 325</span>  <span class="keywordflow">return</span> p;</div>
<div class="line"><a name="l00326"></a><span class="lineno"> 326</span> <span class="preprocessor">#elif QMUL8_AVRASM == 1</span></div>
<div class="line"><a name="l00327"></a><span class="lineno"> 327</span>  <span class="keyword">asm</span> <span class="keyword">volatile</span>(</div>
<div class="line"><a name="l00328"></a><span class="lineno"> 328</span>  <span class="comment">/* Multiply 8-bit i * 8-bit j, giving 16-bit r1,r0 */</span></div>
<div class="line"><a name="l00329"></a><span class="lineno"> 329</span>  <span class="stringliteral">" mul %0, %1 \n\t"</span></div>
<div class="line"><a name="l00330"></a><span class="lineno"> 330</span>  <span class="comment">/* If high byte of result is zero, all is well. */</span></div>
<div class="line"><a name="l00331"></a><span class="lineno"> 331</span>  <span class="stringliteral">" tst r1 \n\t"</span></div>
<div class="line"><a name="l00332"></a><span class="lineno"> 332</span>  <span class="stringliteral">" breq Lnospill_%= \n\t"</span></div>
<div class="line"><a name="l00333"></a><span class="lineno"> 333</span>  <span class="comment">/* If high byte of result > 0, saturate low byte to 0xFF */</span></div>
<div class="line"><a name="l00334"></a><span class="lineno"> 334</span>  <span class="stringliteral">" ldi %0,0xFF \n\t"</span></div>
<div class="line"><a name="l00335"></a><span class="lineno"> 335</span>  <span class="stringliteral">" rjmp Ldone_%= \n\t"</span></div>
<div class="line"><a name="l00336"></a><span class="lineno"> 336</span>  <span class="stringliteral">"Lnospill_%=: \n\t"</span></div>
<div class="line"><a name="l00337"></a><span class="lineno"> 337</span>  <span class="comment">/* Extract the LOW 8-bits (r0) */</span></div>
<div class="line"><a name="l00338"></a><span class="lineno"> 338</span>  <span class="stringliteral">" mov %0, r0 \n\t"</span></div>
<div class="line"><a name="l00339"></a><span class="lineno"> 339</span>  <span class="stringliteral">"Ldone_%=: \n\t"</span></div>
<div class="line"><a name="l00340"></a><span class="lineno"> 340</span>  <span class="comment">/* Restore r1 to "0"; it's expected to always be that */</span></div>
<div class="line"><a name="l00341"></a><span class="lineno"> 341</span>  <span class="stringliteral">" clr __zero_reg__ \n\t"</span></div>
<div class="line"><a name="l00342"></a><span class="lineno"> 342</span>  : <span class="stringliteral">"+a"</span> (i)</div>
<div class="line"><a name="l00343"></a><span class="lineno"> 343</span>  : <span class="stringliteral">"a"</span> (j)</div>
<div class="line"><a name="l00344"></a><span class="lineno"> 344</span>  : <span class="stringliteral">"r0"</span>, <span class="stringliteral">"r1"</span>);</div>
<div class="line"><a name="l00345"></a><span class="lineno"> 345</span> </div>
<div class="line"><a name="l00346"></a><span class="lineno"> 346</span>  <span class="keywordflow">return</span> i;</div>
<div class="line"><a name="l00347"></a><span class="lineno"> 347</span> <span class="preprocessor">#else</span></div>
<div class="line"><a name="l00348"></a><span class="lineno"> 348</span> <span class="preprocessor">#error "No implementation for qmul8 available."</span></div>
<div class="line"><a name="l00349"></a><span class="lineno"> 349</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00350"></a><span class="lineno"> 350</span> }</div>
<div class="line"><a name="l00351"></a><span class="lineno"> 351</span> </div>
<div class="line"><a name="l00352"></a><span class="lineno"> 352</span> </div>
<div class="line"><a name="l00354"></a><span class="lineno"><a class="line" href="group___math.html#ga162169ac0c2d1f3d01eaff8f32e1b415"> 354</a></span> LIB8STATIC_ALWAYS_INLINE int8_t <a class="code" href="group___math.html#ga162169ac0c2d1f3d01eaff8f32e1b415">abs8</a>( int8_t i)</div>
<div class="line"><a name="l00355"></a><span class="lineno"> 355</span> {</div>
<div class="line"><a name="l00356"></a><span class="lineno"> 356</span> <span class="preprocessor">#if ABS8_C == 1</span></div>
<div class="line"><a name="l00357"></a><span class="lineno"> 357</span>  <span class="keywordflow">if</span>( i < 0) i = -i;</div>
<div class="line"><a name="l00358"></a><span class="lineno"> 358</span>  <span class="keywordflow">return</span> i;</div>
<div class="line"><a name="l00359"></a><span class="lineno"> 359</span> <span class="preprocessor">#elif ABS8_AVRASM == 1</span></div>
<div class="line"><a name="l00360"></a><span class="lineno"> 360</span> </div>
<div class="line"><a name="l00361"></a><span class="lineno"> 361</span> </div>
<div class="line"><a name="l00362"></a><span class="lineno"> 362</span>  <span class="keyword">asm</span> <span class="keyword">volatile</span>(</div>
<div class="line"><a name="l00363"></a><span class="lineno"> 363</span>  <span class="comment">/* First, check the high bit, and prepare to skip if it's clear */</span></div>
<div class="line"><a name="l00364"></a><span class="lineno"> 364</span>  <span class="stringliteral">"sbrc %0, 7 \n"</span></div>
<div class="line"><a name="l00365"></a><span class="lineno"> 365</span> </div>
<div class="line"><a name="l00366"></a><span class="lineno"> 366</span>  <span class="comment">/* Negate the value */</span></div>
<div class="line"><a name="l00367"></a><span class="lineno"> 367</span>  <span class="stringliteral">"neg %0 \n"</span></div>
<div class="line"><a name="l00368"></a><span class="lineno"> 368</span> </div>
<div class="line"><a name="l00369"></a><span class="lineno"> 369</span>  : <span class="stringliteral">"+r"</span> (i) : <span class="stringliteral">"r"</span> (i) );</div>
<div class="line"><a name="l00370"></a><span class="lineno"> 370</span>  <span class="keywordflow">return</span> i;</div>
<div class="line"><a name="l00371"></a><span class="lineno"> 371</span> <span class="preprocessor">#else</span></div>
<div class="line"><a name="l00372"></a><span class="lineno"> 372</span> <span class="preprocessor">#error "No implementation for abs8 available."</span></div>
<div class="line"><a name="l00373"></a><span class="lineno"> 373</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00374"></a><span class="lineno"> 374</span> }</div>
<div class="line"><a name="l00375"></a><span class="lineno"> 375</span> </div>
<div class="line"><a name="l00379"></a><span class="lineno"><a class="line" href="group___math.html#ga66ecef97faa5f9b92c49766651c5afe9"> 379</a></span> LIB8STATIC uint8_t <a class="code" href="group___math.html#ga66ecef97faa5f9b92c49766651c5afe9">sqrt16</a>(uint16_t x)</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>  <span class="keywordflow">if</span>( x <= 1) {</div>
<div class="line"><a name="l00382"></a><span class="lineno"> 382</span>  <span class="keywordflow">return</span> x;</div>
<div class="line"><a name="l00383"></a><span class="lineno"> 383</span>  }</div>
<div class="line"><a name="l00384"></a><span class="lineno"> 384</span> </div>
<div class="line"><a name="l00385"></a><span class="lineno"> 385</span>  uint8_t low = 1; <span class="comment">// lower bound</span></div>
<div class="line"><a name="l00386"></a><span class="lineno"> 386</span>  uint8_t hi, mid;</div>
<div class="line"><a name="l00387"></a><span class="lineno"> 387</span> </div>
<div class="line"><a name="l00388"></a><span class="lineno"> 388</span>  <span class="keywordflow">if</span>( x > 7904) {</div>
<div class="line"><a name="l00389"></a><span class="lineno"> 389</span>  hi = 255;</div>
<div class="line"><a name="l00390"></a><span class="lineno"> 390</span>  } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00391"></a><span class="lineno"> 391</span>  hi = (x >> 5) + 8; <span class="comment">// initial estimate for upper bound</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>  <span class="keywordflow">do</span> {</div>
<div class="line"><a name="l00395"></a><span class="lineno"> 395</span>  mid = (low + hi) >> 1;</div>
<div class="line"><a name="l00396"></a><span class="lineno"> 396</span>  <span class="keywordflow">if</span> ((uint16_t)(mid * mid) > x) {</div>
<div class="line"><a name="l00397"></a><span class="lineno"> 397</span>  hi = mid - 1;</div>
<div class="line"><a name="l00398"></a><span class="lineno"> 398</span>  } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00399"></a><span class="lineno"> 399</span>  <span class="keywordflow">if</span>( mid == 255) {</div>
<div class="line"><a name="l00400"></a><span class="lineno"> 400</span>  <span class="keywordflow">return</span> 255;</div>
<div class="line"><a name="l00401"></a><span class="lineno"> 401</span>  }</div>
<div class="line"><a name="l00402"></a><span class="lineno"> 402</span>  low = mid + 1;</div>
<div class="line"><a name="l00403"></a><span class="lineno"> 403</span>  }</div>
<div class="line"><a name="l00404"></a><span class="lineno"> 404</span>  } <span class="keywordflow">while</span> (hi >= low);</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> low - 1;</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="l00410"></a><span class="lineno"> 410</span> <span class="preprocessor">#endif</span></div>
<div class="ttc" id="group___math_html_gaf170916b55c493ea038c1d96b338e059"><div class="ttname"><a href="group___math.html#gaf170916b55c493ea038c1d96b338e059">mul8</a></div><div class="ttdeci">LIB8STATIC_ALWAYS_INLINE uint8_t mul8(uint8_t i, uint8_t j)</div><div class="ttdoc">8x8 bit multiplication, with 8 bit result </div><div class="ttdef"><b>Definition:</b> <a href="math8_8h_source.html#l00295">math8.h:295</a></div></div>
<div class="ttc" id="group___math_html_gad2d87829a6327876eed4482aa515dfa9"><div class="ttname"><a href="group___math.html#gad2d87829a6327876eed4482aa515dfa9">sub8</a></div><div class="ttdeci">LIB8STATIC_ALWAYS_INLINE uint8_t sub8(uint8_t i, uint8_t j)</div><div class="ttdoc">subtract one byte from another, 8-bit result </div><div class="ttdef"><b>Definition:</b> <a href="math8_8h_source.html#l00131">math8.h:131</a></div></div>
<div class="ttc" id="group___math_html_gae261576a4c8155d6c0ba8615b2d2ecb3"><div class="ttname"><a href="group___math.html#gae261576a4c8155d6c0ba8615b2d2ecb3">qsub8</a></div><div class="ttdeci">LIB8STATIC_ALWAYS_INLINE uint8_t qsub8(uint8_t i, uint8_t j)</div><div class="ttdoc">subtract one byte from another, saturating at 0x00 </div><div class="ttdef"><b>Definition:</b> <a href="math8_8h_source.html#l00086">math8.h:86</a></div></div>
<div class="ttc" id="group___math_html_ga624651f796f4cf0755c8cbdb794e41d9"><div class="ttname"><a href="group___math.html#ga624651f796f4cf0755c8cbdb794e41d9">avg8</a></div><div class="ttdeci">LIB8STATIC_ALWAYS_INLINE uint8_t avg8(uint8_t i, uint8_t j)</div><div class="ttdoc">Calculate an integer average of two unsigned 8-bit integer values (uint8_t). </div><div class="ttdef"><b>Definition:</b> <a href="math8_8h_source.html#l00148">math8.h:148</a></div></div>
<div class="ttc" id="group___math_html_ga17d0d692de142f4d4379b8cc899eaefb"><div class="ttname"><a href="group___math.html#ga17d0d692de142f4d4379b8cc899eaefb">qmul8</a></div><div class="ttdeci">LIB8STATIC_ALWAYS_INLINE uint8_t qmul8(uint8_t i, uint8_t j)</div><div class="ttdoc">saturating 8x8 bit multiplication, with 8 bit result </div><div class="ttdef"><b>Definition:</b> <a href="math8_8h_source.html#l00320">math8.h:320</a></div></div>
<div class="ttc" id="group___math_html_ga2ad60cb8a09e6aab6d63f1a0930bee09"><div class="ttname"><a href="group___math.html#ga2ad60cb8a09e6aab6d63f1a0930bee09">avg15</a></div><div class="ttdeci">LIB8STATIC_ALWAYS_INLINE int16_t avg15(int16_t i, int16_t j)</div><div class="ttdoc">Calculate an integer average of two signed 15-bit integers (int16_t) If the first argument is even...</div><div class="ttdef"><b>Definition:</b> <a href="math8_8h_source.html#l00217">math8.h:217</a></div></div>
<div class="ttc" id="group___math_html_ga2bcd51c47538dbc933999382e272a7a7"><div class="ttname"><a href="group___math.html#ga2bcd51c47538dbc933999382e272a7a7">addmod8</a></div><div class="ttdeci">LIB8STATIC uint8_t addmod8(uint8_t a, uint8_t b, uint8_t m)</div><div class="ttdoc">Add two numbers, and calculate the modulo of the sum and a third number, M. </div><div class="ttdef"><b>Definition:</b> <a href="math8_8h_source.html#l00276">math8.h:276</a></div></div>
<div class="ttc" id="group___math_html_ga622205a211419db7dd1f582923aec68d"><div class="ttname"><a href="group___math.html#ga622205a211419db7dd1f582923aec68d">qadd7</a></div><div class="ttdeci">LIB8STATIC_ALWAYS_INLINE int8_t qadd7(int8_t i, int8_t j)</div><div class="ttdoc">Add one byte to another, saturating at 0x7F. </div><div class="ttdef"><b>Definition:</b> <a href="math8_8h_source.html#l00054">math8.h:54</a></div></div>
<div class="ttc" id="group___math_html_ga162169ac0c2d1f3d01eaff8f32e1b415"><div class="ttname"><a href="group___math.html#ga162169ac0c2d1f3d01eaff8f32e1b415">abs8</a></div><div class="ttdeci">LIB8STATIC_ALWAYS_INLINE int8_t abs8(int8_t i)</div><div class="ttdoc">take abs() of a signed 8-bit uint8_t </div><div class="ttdef"><b>Definition:</b> <a href="math8_8h_source.html#l00354">math8.h:354</a></div></div>
<div class="ttc" id="group___math_html_gad7af6a5b49aef34ab79e850ddb7d7911"><div class="ttname"><a href="group___math.html#gad7af6a5b49aef34ab79e850ddb7d7911">avg7</a></div><div class="ttdeci">LIB8STATIC_ALWAYS_INLINE int8_t avg7(int8_t i, int8_t j)</div><div class="ttdoc">Calculate an integer average of two signed 7-bit integers (int8_t) If the first argument is even...</div><div class="ttdef"><b>Definition:</b> <a href="math8_8h_source.html#l00196">math8.h:196</a></div></div>
<div class="ttc" id="group___math_html_gaa3beb6c31141a13c1a047b926d065ca2"><div class="ttname"><a href="group___math.html#gaa3beb6c31141a13c1a047b926d065ca2">mod8</a></div><div class="ttdeci">LIB8STATIC_ALWAYS_INLINE uint8_t mod8(uint8_t a, uint8_t m)</div><div class="ttdoc">Calculate the remainder of one unsigned 8-bit value divided by anoter, aka A % M. ...</div><div class="ttdef"><b>Definition:</b> <a href="math8_8h_source.html#l00249">math8.h:249</a></div></div>
<div class="ttc" id="group___math_html_ga1f46842559931ff842c8f9a310174a3a"><div class="ttname"><a href="group___math.html#ga1f46842559931ff842c8f9a310174a3a">avg16</a></div><div class="ttdeci">LIB8STATIC_ALWAYS_INLINE uint16_t avg16(uint16_t i, uint16_t j)</div><div class="ttdoc">Calculate an integer average of two unsigned 16-bit integer values (uint16_t). </div><div class="ttdef"><b>Definition:</b> <a href="math8_8h_source.html#l00169">math8.h:169</a></div></div>
<div class="ttc" id="group___math_html_ga07133b3085824d0fcd4f5086d286c4b5"><div class="ttname"><a href="group___math.html#ga07133b3085824d0fcd4f5086d286c4b5">qadd8</a></div><div class="ttdeci">LIB8STATIC_ALWAYS_INLINE uint8_t qadd8(uint8_t i, uint8_t j)</div><div class="ttdoc">add one byte to another, saturating at 0xFF </div><div class="ttdef"><b>Definition:</b> <a href="math8_8h_source.html#l00021">math8.h:21</a></div></div>
<div class="ttc" id="group___math_html_ga66ecef97faa5f9b92c49766651c5afe9"><div class="ttname"><a href="group___math.html#ga66ecef97faa5f9b92c49766651c5afe9">sqrt16</a></div><div class="ttdeci">LIB8STATIC uint8_t sqrt16(uint16_t x)</div><div class="ttdoc">square root for 16-bit integers About three times faster and five times smaller than Arduino's genera...</div><div class="ttdef"><b>Definition:</b> <a href="math8_8h_source.html#l00379">math8.h:379</a></div></div>
<div class="ttc" id="group___math_html_ga703ea9255d0701cc154e110ae00dea04"><div class="ttname"><a href="group___math.html#ga703ea9255d0701cc154e110ae00dea04">add8</a></div><div class="ttdeci">LIB8STATIC_ALWAYS_INLINE uint8_t add8(uint8_t i, uint8_t j)</div><div class="ttdoc">add one byte to another, with one byte result </div><div class="ttdef"><b>Definition:</b> <a href="math8_8h_source.html#l00115">math8.h:115</a></div></div>
</div><!-- fragment --></div><!-- contents -->
</div><!-- doc-content -->
<!-- start footer part -->
<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
<ul>
<li class="navelem"><a class="el" href="dir_fbb9e787cf27434374136273d35a9c17.html">lib8tion</a></li><li class="navelem"><b>math8.h</b></li>
<li class="footer">Generated on Sun Feb 21 2016 18:44:44 for FastLED by
<a href="http://www.doxygen.org/index.html">
<img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.9.1 </li>
</ul>
</div>
</body>
</html>
|
