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<div class="title">BFloat16.hpp</div> </div>
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<a href="_b_float16_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">//</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment">// Copyright © 2020 Arm Ltd. All rights reserved.</span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment">// SPDX-License-Identifier: MIT</span></div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment">//</span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span>  </div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="preprocessor">#pragma once</span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span>  </div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="preprocessor">#include <ostream></span></div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="preprocessor">#include <cmath></span></div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="preprocessor">#include <cstring></span></div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="preprocessor">#include <stdint.h></span></div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span>  </div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="keyword">namespace </span><a class="code" href="namespacearmnn.html">armnn</a></div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> {</div>
<div class="line"><a name="l00015"></a><span class="lineno"><a class="line" href="classarmnn_1_1_b_float16.html"> 15</a></span> <span class="keyword">class </span><a class="code" href="classarmnn_1_1_b_float16.html">BFloat16</a></div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span> {</div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="keyword">public</span>:</div>
<div class="line"><a name="l00018"></a><span class="lineno"><a class="line" href="classarmnn_1_1_b_float16.html#a8f4fc25560afea5a7a45cdbf20fc30ca"> 18</a></span>  <a class="code" href="classarmnn_1_1_b_float16.html#a8f4fc25560afea5a7a45cdbf20fc30ca">BFloat16</a>()</div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span>  : m_Value(0)</div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span>  {}</div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span>  </div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span>  <a class="code" href="classarmnn_1_1_b_float16.html#a8f4fc25560afea5a7a45cdbf20fc30ca">BFloat16</a>(<span class="keyword">const</span> <a class="code" href="classarmnn_1_1_b_float16.html">BFloat16</a>& v) = <span class="keywordflow">default</span>;</div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span>  </div>
<div class="line"><a name="l00024"></a><span class="lineno"><a class="line" href="classarmnn_1_1_b_float16.html#a58f28952f1e43061905be5f1789cccfe"> 24</a></span>  <span class="keyword">explicit</span> <a class="code" href="classarmnn_1_1_b_float16.html#a58f28952f1e43061905be5f1789cccfe">BFloat16</a>(uint16_t v)</div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>  : m_Value(v)</div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>  {}</div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  </div>
<div class="line"><a name="l00028"></a><span class="lineno"><a class="line" href="classarmnn_1_1_b_float16.html#ac5c86c8ca117ed170c80f74e98b55d9b"> 28</a></span>  <span class="keyword">explicit</span> <a class="code" href="classarmnn_1_1_b_float16.html#ac5c86c8ca117ed170c80f74e98b55d9b">BFloat16</a>(<span class="keywordtype">float</span> v)</div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  {</div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  m_Value = <a class="code" href="classarmnn_1_1_b_float16.html#a3ff08d61c8f7403c9f790e2b96d91a9d">Float32ToBFloat16</a>(v).<a class="code" href="classarmnn_1_1_b_float16.html#afbd0d2d6540777e3898d125b79f6a5bc">Val</a>();</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>  </div>
<div class="line"><a name="l00033"></a><span class="lineno"><a class="line" href="classarmnn_1_1_b_float16.html#abc4ec9f715112697477f2f425122ce21"> 33</a></span>  <span class="keyword">operator</span> float()<span class="keyword"> const</span></div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="keyword"> </span>{</div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  <span class="keywordflow">return</span> <a class="code" href="classarmnn_1_1_b_float16.html#afe0f15d338fde36113a613f6e165b0e9">ToFloat32</a>();</div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  }</div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  </div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  <a class="code" href="classarmnn_1_1_b_float16.html">BFloat16</a>& <a class="code" href="classarmnn_1_1_b_float16.html#ad84d47768f03c3e34cff6e82fcc62b5c">operator=</a>(<span class="keyword">const</span> <a class="code" href="classarmnn_1_1_b_float16.html">BFloat16</a>& other) = <span class="keywordflow">default</span>;</div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  </div>
<div class="line"><a name="l00040"></a><span class="lineno"><a class="line" href="classarmnn_1_1_b_float16.html#a2cb077e0d34d52b8c3a5552533c4600f"> 40</a></span>  <a class="code" href="classarmnn_1_1_b_float16.html">BFloat16</a>& <a class="code" href="classarmnn_1_1_b_float16.html#a2cb077e0d34d52b8c3a5552533c4600f">operator=</a>(<span class="keywordtype">float</span> v)</div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  {</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  m_Value = <a class="code" href="classarmnn_1_1_b_float16.html#a3ff08d61c8f7403c9f790e2b96d91a9d">Float32ToBFloat16</a>(v).<a class="code" href="classarmnn_1_1_b_float16.html#afbd0d2d6540777e3898d125b79f6a5bc">Val</a>();</div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  }</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  </div>
<div class="line"><a name="l00046"></a><span class="lineno"><a class="line" href="classarmnn_1_1_b_float16.html#aecfc3fae6930caee98c9fc8b973068a8"> 46</a></span>  <span class="keywordtype">bool</span> <a class="code" href="classarmnn_1_1_b_float16.html#aecfc3fae6930caee98c9fc8b973068a8">operator==</a>(<span class="keyword">const</span> <a class="code" href="classarmnn_1_1_b_float16.html">BFloat16</a>& r)<span class="keyword"> const</span></div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span> <span class="keyword"> </span>{</div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  <span class="keywordflow">return</span> m_Value == r.<a class="code" href="classarmnn_1_1_b_float16.html#afbd0d2d6540777e3898d125b79f6a5bc">Val</a>();</div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  }</div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  </div>
<div class="line"><a name="l00051"></a><span class="lineno"><a class="line" href="classarmnn_1_1_b_float16.html#a3ff08d61c8f7403c9f790e2b96d91a9d"> 51</a></span>  <span class="keyword">static</span> <a class="code" href="classarmnn_1_1_b_float16.html">BFloat16</a> <a class="code" href="classarmnn_1_1_b_float16.html#a3ff08d61c8f7403c9f790e2b96d91a9d">Float32ToBFloat16</a>(<span class="keyword">const</span> <span class="keywordtype">float</span> v)</div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  {</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  <span class="keywordflow">if</span> (std::isnan(v))</div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  {</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <span class="keywordflow">return</span> <a class="code" href="classarmnn_1_1_b_float16.html#ae80b11dd8875fbf6e76cb054764ca6fb">Nan</a>();</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  }</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  {</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <span class="comment">// Round value to the nearest even</span></div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  <span class="comment">// Float32</span></div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  <span class="comment">// S EEEEEEEE MMMMMMLRMMMMMMMMMMMMMMM</span></div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  <span class="comment">// BFloat16</span></div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  <span class="comment">// S EEEEEEEE MMMMMML</span></div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <span class="comment">// LSB (L): Least significat bit of BFloat16 (last bit of the Mantissa of BFloat16)</span></div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <span class="comment">// R: Rounding bit</span></div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  <span class="comment">// LSB = 0, R = 0 -> round down</span></div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <span class="comment">// LSB = 1, R = 0 -> round down</span></div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <span class="comment">// LSB = 0, R = 1, all the rest = 0 -> round down</span></div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  <span class="comment">// LSB = 1, R = 1 -> round up</span></div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <span class="comment">// LSB = 0, R = 1 -> round up</span></div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  <span class="keyword">const</span> uint32_t* u32 = <span class="keyword">reinterpret_cast<</span><span class="keyword">const </span>uint32_t*<span class="keyword">></span>(&v);</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  uint16_t u16 = <span class="keyword">static_cast<</span>uint16_t<span class="keyword">></span>(*u32 >> 16u);</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <span class="comment">// Mark the LSB</span></div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  <span class="keyword">const</span> uint16_t lsb = u16 & 0x0001;</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <span class="comment">// Mark the error to be truncate (the rest of 16 bits of FP32)</span></div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <span class="keyword">const</span> uint16_t <a class="code" href="namespacearmnn.html#a4dc0adc6737b5944e7671bee71788407acb5e100e5a9a3e7f6d1fd97512215282">error</a> = <span class="keyword">static_cast<</span>uint16_t<span class="keyword">></span>((*u32 & 0x0000FFFF));</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  <span class="keywordflow">if</span> ((<a class="code" href="namespacearmnn.html#a4dc0adc6737b5944e7671bee71788407acb5e100e5a9a3e7f6d1fd97512215282">error</a> > 0x8000 || (<a class="code" href="namespacearmnn.html#a4dc0adc6737b5944e7671bee71788407acb5e100e5a9a3e7f6d1fd97512215282">error</a> == 0x8000 && lsb == 1)))</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  {</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  u16++;</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  }</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  <a class="code" href="classarmnn_1_1_b_float16.html">BFloat16</a> b(u16);</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  <span class="keywordflow">return</span> b;</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  }</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  }</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  </div>
<div class="line"><a name="l00086"></a><span class="lineno"><a class="line" href="classarmnn_1_1_b_float16.html#afe0f15d338fde36113a613f6e165b0e9"> 86</a></span>  <span class="keywordtype">float</span> <a class="code" href="classarmnn_1_1_b_float16.html#afe0f15d338fde36113a613f6e165b0e9">ToFloat32</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span> <span class="keyword"> </span>{</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  <span class="keyword">const</span> uint32_t u32 = <span class="keyword">static_cast<</span>uint32_t<span class="keyword">></span>(m_Value << 16u);</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  <span class="keywordtype">float</span> f32;</div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  static_assert(<span class="keyword">sizeof</span> u32 == <span class="keyword">sizeof</span> f32, <span class="stringliteral">""</span>);</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  std::memcpy(&f32, &u32, <span class="keyword">sizeof</span> u32);</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  <span class="keywordflow">return</span> f32;</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>  </div>
<div class="line"><a name="l00095"></a><span class="lineno"><a class="line" href="classarmnn_1_1_b_float16.html#afbd0d2d6540777e3898d125b79f6a5bc"> 95</a></span>  uint16_t <a class="code" href="classarmnn_1_1_b_float16.html#afbd0d2d6540777e3898d125b79f6a5bc">Val</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span> <span class="keyword"> </span>{</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  <span class="keywordflow">return</span> m_Value;</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  }</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  </div>
<div class="line"><a name="l00100"></a><span class="lineno"><a class="line" href="classarmnn_1_1_b_float16.html#a62b171b39ea69724817f5fe08169ca7d"> 100</a></span>  <span class="keyword">static</span> <a class="code" href="classarmnn_1_1_b_float16.html">BFloat16</a> <a class="code" href="classarmnn_1_1_b_float16.html#a62b171b39ea69724817f5fe08169ca7d">Max</a>()</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  {</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  uint16_t max = 0x7F7F;</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  <span class="keywordflow">return</span> <a class="code" href="classarmnn_1_1_b_float16.html#a8f4fc25560afea5a7a45cdbf20fc30ca">BFloat16</a>(max);</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  }</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  </div>
<div class="line"><a name="l00106"></a><span class="lineno"><a class="line" href="classarmnn_1_1_b_float16.html#ae80b11dd8875fbf6e76cb054764ca6fb"> 106</a></span>  <span class="keyword">static</span> <a class="code" href="classarmnn_1_1_b_float16.html">BFloat16</a> <a class="code" href="classarmnn_1_1_b_float16.html#ae80b11dd8875fbf6e76cb054764ca6fb">Nan</a>()</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>  uint16_t nan = 0x7FC0;</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  <span class="keywordflow">return</span> <a class="code" href="classarmnn_1_1_b_float16.html#a8f4fc25560afea5a7a45cdbf20fc30ca">BFloat16</a>(nan);</div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  }</div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  </div>
<div class="line"><a name="l00112"></a><span class="lineno"><a class="line" href="classarmnn_1_1_b_float16.html#ae5b250d59f169e00a39ad3ec787db22a"> 112</a></span>  <span class="keyword">static</span> <a class="code" href="classarmnn_1_1_b_float16.html">BFloat16</a> <a class="code" href="classarmnn_1_1_b_float16.html#ae5b250d59f169e00a39ad3ec787db22a">Inf</a>()</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  {</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  uint16_t infVal = 0x7F80;</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  <span class="keywordflow">return</span> <a class="code" href="classarmnn_1_1_b_float16.html#a8f4fc25560afea5a7a45cdbf20fc30ca">BFloat16</a>(infVal);</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>  </div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span> <span class="keyword">private</span>:</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  uint16_t m_Value;</div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span> };</div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  </div>
<div class="line"><a name="l00122"></a><span class="lineno"><a class="line" href="namespacearmnn.html#aa1166f0056ce60553e825ae3cee4d5f7"> 122</a></span> <span class="keyword">inline</span> std::ostream& <a class="code" href="namespacearmnn.html#a5b0313cb554380d6e4dfb24c31f9e605">operator<<</a>(std::ostream& os, <span class="keyword">const</span> <a class="code" href="classarmnn_1_1_b_float16.html">BFloat16</a>& b)</div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span> {</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  os << b.<a class="code" href="classarmnn_1_1_b_float16.html#afe0f15d338fde36113a613f6e165b0e9">ToFloat32</a>() << <span class="stringliteral">"(0x"</span> << std::hex << b.<a class="code" href="classarmnn_1_1_b_float16.html#afbd0d2d6540777e3898d125b79f6a5bc">Val</a>() << <span class="stringliteral">")"</span>;</div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  <span class="keywordflow">return</span> os;</div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span> }</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  </div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span> } <span class="comment">//namespace armnn</span></div>
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