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<div class="headertitle"><div class="title">bf16.h</div></div>
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<a href="backend_2metal_2kernels_2bf16_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span><span class="comment">// Copyright © 2023 Apple Inc.</span></div>
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<div class="line"><a id="l00002" name="l00002"></a><span class="lineno"> 2</span> </div>
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<div class="line"><a id="l00003" name="l00003"></a><span class="lineno"> 3</span><span class="preprocessor">#pragma once</span></div>
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<div class="line"><a id="l00004" name="l00004"></a><span class="lineno"> 4</span> </div>
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<div class="line"><a id="l00005" name="l00005"></a><span class="lineno"> 5</span><span class="preprocessor">#include <metal_stdlib></span></div>
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<div class="line"><a id="l00006" name="l00006"></a><span class="lineno"> 6</span> </div>
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<div class="line"><a id="l00007" name="l00007"></a><span class="lineno"> 7</span><span class="keyword">using namespace </span><a class="code hl_namespace" href="namespacemetal.html">metal</a>;</div>
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<div class="line"><a id="l00008" name="l00008"></a><span class="lineno"> 8</span> </div>
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<div class="line"><a id="l00009" name="l00009"></a><span class="lineno"> 9</span><span class="preprocessor">#if defined METAL_3_1 || (__METAL_VERSION__ >= 310)</span></div>
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<div class="line"><a id="l00010" name="l00010"></a><span class="lineno"> 10</span> </div>
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<div class="line"><a id="l00011" name="l00011"></a><span class="lineno"> 11</span><span class="keyword">typedef</span> bfloat <a class="code hl_typedef" href="backend_2metal_2kernels_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82">bfloat16_t</a>;</div>
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<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"> 12</span> </div>
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<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span><span class="preprocessor">#else</span></div>
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<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span> </div>
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<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span><span class="comment">// Helpers</span></div>
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<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span> </div>
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<div class="foldopen" id="foldopen00019" data-start="{" data-end="}">
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<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"><a class="line" href="backend_2metal_2kernels_2bf16_8h.html#a31ce5e8e860295fa236e0d4b0befeae1"> 19</a></span><span class="keyword">constexpr</span> METAL_FUNC uint16_t <a class="code hl_function" href="backend_2metal_2kernels_2bf16_8h.html#a31ce5e8e860295fa236e0d4b0befeae1">float_to_bfloat_bits</a>(<span class="keywordtype">float</span> x) {</div>
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<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span> <span class="comment">// Check for nan</span></div>
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<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span> <span class="keywordflow">if</span> ((as_type<uint32_t>(x) & ~_fp_encoding_traits<float>::sign_mask) ></div>
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<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span> _fp_encoding_traits<float>::inf_mask) {</div>
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<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span> <span class="keywordflow">return</span> uint16_t(as_type<uint32_t>(0x7FC0));</div>
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<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span> }</div>
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<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span> <span class="comment">// Take bits</span></div>
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<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span> uint32_t float_bits = as_type<uint32_t>(x);</div>
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<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span> </div>
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<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span> <span class="comment">// Round to nearest even</span></div>
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<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span> float_bits += ((float_bits >> 16) & 1) + as_type<uint32_t>(0x7FFF);</div>
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<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span> </div>
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<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span> <span class="comment">// Take upper 16 bits</span></div>
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<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> <span class="keywordflow">return</span> float_bits >> 16;</div>
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<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span>}</div>
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</div>
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<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span> </div>
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<div class="foldopen" id="foldopen00035" data-start="{" data-end="}">
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<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"><a class="line" href="backend_2metal_2kernels_2bf16_8h.html#a3b33ae338dc4f223d0f3c748de07bad1"> 35</a></span><span class="keyword">constexpr</span> METAL_FUNC <span class="keywordtype">float</span> <a class="code hl_function" href="backend_2metal_2kernels_2bf16_8h.html#a3b33ae338dc4f223d0f3c748de07bad1">bfloat_bits_to_float</a>(uint16_t x) {</div>
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<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> <span class="comment">// Upper 16 bits are the data and lower 16 bits are 0s</span></div>
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<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> <span class="keywordflow">return</span> as_type<float>((uint32_t)x << 16);</div>
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<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span>}</div>
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</div>
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<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> </div>
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<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span><span class="keyword">struct </span><a class="code hl_struct" href="struct___m_l_x___b_float16.html">_MLX_BFloat16</a>;</div>
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<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> </div>
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<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span><span class="keyword">template</span> <<span class="keyword">typename</span> T></div>
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<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"><a class="line" href="backend_2metal_2kernels_2bf16_8h.html#aae77817d261452b2f001f4d947a3e04e"> 43</a></span><span class="keyword">static</span> <span class="keyword">constexpr</span> constant <span class="keywordtype">bool</span> <a class="code hl_variable" href="backend_2metal_2kernels_2bf16_8h.html#aae77817d261452b2f001f4d947a3e04e">can_convert_to_bfloat</a> =</div>
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<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> !is_same_v<T, _MLX_BFloat16> && is_convertible_v<T, float>;</div>
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<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> </div>
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<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span><span class="keyword">template</span> <<span class="keyword">typename</span> T></div>
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<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"><a class="line" href="backend_2metal_2kernels_2bf16_8h.html#a7e5992f7fcd8f2cdadcc1d7f6aefbb5a"> 47</a></span><span class="keyword">static</span> <span class="keyword">constexpr</span> constant <span class="keywordtype">bool</span> <a class="code hl_variable" href="backend_2metal_2kernels_2bf16_8h.html#a7e5992f7fcd8f2cdadcc1d7f6aefbb5a">can_convert_from_bfloat</a> =</div>
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<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> !is_same_v<T, _MLX_BFloat16> && is_convertible_v<float, T>;</div>
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<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> </div>
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<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span><span class="comment">// Bfloat struct</span></div>
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<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> </div>
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<div class="foldopen" id="foldopen00054" data-start="{" data-end="};">
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<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"><a class="line" href="struct___m_l_x___b_float16.html"> 54</a></span><span class="keyword">struct </span><a class="code hl_struct" href="struct___m_l_x___b_float16.html">_MLX_BFloat16</a> {</div>
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<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> <span class="comment">// Constructors</span></div>
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<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"><a class="line" href="struct___m_l_x___b_float16.html#a4113263b63e3757ea8334cc4f0f5c3c8"> 57</a></span> uint16_t <a class="code hl_variable" href="struct___m_l_x___b_float16.html#a4113263b63e3757ea8334cc4f0f5c3c8">bits_</a>;</div>
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<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"><a class="line" href="struct___m_l_x___b_float16.html#ab1af7700f5d1e4ab567da6a34fa84668"> 58</a></span> <a class="code hl_function" href="struct___m_l_x___b_float16.html#ab1af7700f5d1e4ab567da6a34fa84668">_MLX_BFloat16</a>() thread = default;</div>
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<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"><a class="line" href="struct___m_l_x___b_float16.html#ae5c51644c3bd7cda6b796cb63c60c0b4"> 59</a></span> <a class="code hl_struct" href="struct___m_l_x___b_float16.html">_MLX_BFloat16</a>() threadgroup = default;</div>
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<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"><a class="line" href="struct___m_l_x___b_float16.html#a21998a3c852d0e0f52681f8b453172bf"> 60</a></span> <a class="code hl_struct" href="struct___m_l_x___b_float16.html">_MLX_BFloat16</a>() device = default;</div>
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<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"><a class="line" href="struct___m_l_x___b_float16.html#a64d8fc2e2463d7fa19cd3d5dd1ffdae8"> 61</a></span> <a class="code hl_struct" href="struct___m_l_x___b_float16.html">_MLX_BFloat16</a>() constant = default;</div>
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<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> </div>
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<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"><a class="line" href="struct___m_l_x___b_float16_1_1bits__to__bfloat__struct.html"> 63</a></span> struct <a class="code hl_struct" href="struct___m_l_x___b_float16_1_1bits__to__bfloat__struct.html">bits_to_bfloat_struct</a> {};</div>
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<div class="foldopen" id="foldopen00064" data-start="{" data-end="}">
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<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"><a class="line" href="struct___m_l_x___b_float16.html#a91ccb774773b65f8d4c1aea3f1c6e1ca"> 64</a></span> <span class="keyword">static</span> <span class="keyword">constexpr</span> METAL_FUNC <a class="code hl_struct" href="struct___m_l_x___b_float16_1_1bits__to__bfloat__struct.html">bits_to_bfloat_struct</a> <a class="code hl_function" href="struct___m_l_x___b_float16.html#a91ccb774773b65f8d4c1aea3f1c6e1ca">bits_to_bfloat</a>() {</div>
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<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> <span class="keywordflow">return</span> <a class="code hl_struct" href="struct___m_l_x___b_float16_1_1bits__to__bfloat__struct.html">bits_to_bfloat_struct</a>();</div>
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<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> }</div>
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</div>
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<div class="foldopen" id="foldopen00067" data-start="{" data-end="}">
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<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"><a class="line" href="struct___m_l_x___b_float16.html#a50d825f05a162d0ac133ad8b6f3c3112"> 67</a></span> <span class="keyword">constexpr</span> METAL_FUNC <a class="code hl_function" href="struct___m_l_x___b_float16.html#a50d825f05a162d0ac133ad8b6f3c3112">_MLX_BFloat16</a>(uint16_t bits, <a class="code hl_struct" href="struct___m_l_x___b_float16_1_1bits__to__bfloat__struct.html">bits_to_bfloat_struct</a>)</div>
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<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> : <a class="code hl_variable" href="struct___m_l_x___b_float16.html#a4113263b63e3757ea8334cc4f0f5c3c8">bits_</a>(bits) {}</div>
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</div>
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<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> </div>
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<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> <span class="comment">// Conversions to bfloat</span></div>
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<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> </div>
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<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> <span class="keyword">template</span> <</div>
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<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> <span class="keyword">typename</span> T,</div>
|
||
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<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> <span class="keyword">typename</span> = <span class="keyword">typename</span> enable_if<can_convert_to_bfloat<T>>::type></div>
|
||
|
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<div class="foldopen" id="foldopen00076" data-start="{" data-end="}">
|
||
|
|
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"><a class="line" href="struct___m_l_x___b_float16.html#a24c5736f234e09a0c82b00c7e44cc547"> 76</a></span> <span class="keyword">constexpr</span> METAL_FUNC <a class="code hl_function" href="struct___m_l_x___b_float16.html#a24c5736f234e09a0c82b00c7e44cc547">_MLX_BFloat16</a>(T x) thread</div>
|
||
|
|
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> : <a class="code hl_variable" href="struct___m_l_x___b_float16.html#a4113263b63e3757ea8334cc4f0f5c3c8">bits_</a>(<a class="code hl_function" href="backend_2metal_2kernels_2bf16_8h.html#a31ce5e8e860295fa236e0d4b0befeae1">float_to_bfloat_bits</a>(<span class="keyword">static_cast<</span><span class="keywordtype">float</span><span class="keyword">></span>(x))) {}</div>
|
||
|
|
</div>
|
||
|
|
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> </div>
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<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> <span class="keyword">template</span> <</div>
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||
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<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> <span class="keyword">typename</span> T,</div>
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||
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<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> <span class="keyword">typename</span> = <span class="keyword">typename</span> enable_if<can_convert_to_bfloat<T>>::type></div>
|
||
|
|
<div class="foldopen" id="foldopen00082" data-start="{" data-end="}">
|
||
|
|
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"><a class="line" href="struct___m_l_x___b_float16.html#adeb880f31121c6dc40ce47765c6c7455"> 82</a></span> <span class="keyword">constexpr</span> METAL_FUNC <a class="code hl_function" href="struct___m_l_x___b_float16.html#adeb880f31121c6dc40ce47765c6c7455">_MLX_BFloat16</a>(T x) threadgroup</div>
|
||
|
|
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> : <a class="code hl_variable" href="struct___m_l_x___b_float16.html#a4113263b63e3757ea8334cc4f0f5c3c8">bits_</a>(<a class="code hl_function" href="backend_2metal_2kernels_2bf16_8h.html#a31ce5e8e860295fa236e0d4b0befeae1">float_to_bfloat_bits</a>(<span class="keyword">static_cast<</span><span class="keywordtype">float</span><span class="keyword">></span>(x))) {}</div>
|
||
|
|
</div>
|
||
|
|
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> </div>
|
||
|
|
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> <span class="keyword">template</span> <</div>
|
||
|
|
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> <span class="keyword">typename</span> T,</div>
|
||
|
|
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> <span class="keyword">typename</span> = <span class="keyword">typename</span> enable_if<can_convert_to_bfloat<T>>::type></div>
|
||
|
|
<div class="foldopen" id="foldopen00088" data-start="{" data-end="}">
|
||
|
|
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"><a class="line" href="struct___m_l_x___b_float16.html#ad2701d003e8fad168c89abc3907c6e53"> 88</a></span> <span class="keyword">constexpr</span> METAL_FUNC <a class="code hl_function" href="struct___m_l_x___b_float16.html#ad2701d003e8fad168c89abc3907c6e53">_MLX_BFloat16</a>(T x) device</div>
|
||
|
|
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> : <a class="code hl_variable" href="struct___m_l_x___b_float16.html#a4113263b63e3757ea8334cc4f0f5c3c8">bits_</a>(<a class="code hl_function" href="backend_2metal_2kernels_2bf16_8h.html#a31ce5e8e860295fa236e0d4b0befeae1">float_to_bfloat_bits</a>(<span class="keyword">static_cast<</span><span class="keywordtype">float</span><span class="keyword">></span>(x))) {}</div>
|
||
|
|
</div>
|
||
|
|
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> </div>
|
||
|
|
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> <span class="keyword">template</span> <</div>
|
||
|
|
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> <span class="keyword">typename</span> T,</div>
|
||
|
|
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> <span class="keyword">typename</span> = <span class="keyword">typename</span> enable_if<can_convert_to_bfloat<T>>::type></div>
|
||
|
|
<div class="foldopen" id="foldopen00094" data-start="{" data-end="}">
|
||
|
|
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"><a class="line" href="struct___m_l_x___b_float16.html#aec7fa716fd621ce1843338027bcb0118"> 94</a></span> <span class="keyword">constexpr</span> METAL_FUNC <a class="code hl_function" href="struct___m_l_x___b_float16.html#aec7fa716fd621ce1843338027bcb0118">_MLX_BFloat16</a>(T x) constant</div>
|
||
|
|
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> : <a class="code hl_variable" href="struct___m_l_x___b_float16.html#a4113263b63e3757ea8334cc4f0f5c3c8">bits_</a>(<a class="code hl_function" href="backend_2metal_2kernels_2bf16_8h.html#a31ce5e8e860295fa236e0d4b0befeae1">float_to_bfloat_bits</a>(<span class="keyword">static_cast<</span><span class="keywordtype">float</span><span class="keyword">></span>(x))) {}</div>
|
||
|
|
</div>
|
||
|
|
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> </div>
|
||
|
|
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> <span class="comment">// Conversions from bfloat</span></div>
|
||
|
|
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> </div>
|
||
|
|
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> <span class="keyword">template</span> <</div>
|
||
|
|
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> <span class="keyword">typename</span> T,</div>
|
||
|
|
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> <span class="keyword">typename</span> = <span class="keyword">typename</span> enable_if<can_convert_from_bfloat<T>>::type></div>
|
||
|
|
<div class="foldopen" id="foldopen00103" data-start="{" data-end="}">
|
||
|
|
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"><a class="line" href="struct___m_l_x___b_float16.html#aa7dfefdf0d15e102d2b8258c9ab01836"> 103</a></span> <span class="keyword">constexpr</span> METAL_FUNC <span class="keyword">operator</span> T() const thread {</div>
|
||
|
|
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> <span class="keywordflow">return</span> <span class="keyword">static_cast<</span>T<span class="keyword">></span>(<a class="code hl_function" href="backend_2metal_2kernels_2bf16_8h.html#a3b33ae338dc4f223d0f3c748de07bad1">bfloat_bits_to_float</a>(<a class="code hl_variable" href="struct___m_l_x___b_float16.html#a4113263b63e3757ea8334cc4f0f5c3c8">bits_</a>));</div>
|
||
|
|
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> }</div>
|
||
|
|
</div>
|
||
|
|
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> </div>
|
||
|
|
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> <span class="keyword">template</span> <</div>
|
||
|
|
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> <span class="keyword">typename</span> T,</div>
|
||
|
|
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> <span class="keyword">typename</span> = <span class="keyword">typename</span> enable_if<can_convert_from_bfloat<T>>::type></div>
|
||
|
|
<div class="foldopen" id="foldopen00110" data-start="{" data-end="}">
|
||
|
|
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"><a class="line" href="struct___m_l_x___b_float16.html#a2546a8afa77e14ed5b3c5da79a281260"> 110</a></span> <span class="keyword">constexpr</span> METAL_FUNC <span class="keyword">operator</span> T() const threadgroup {</div>
|
||
|
|
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> <span class="keywordflow">return</span> <span class="keyword">static_cast<</span>T<span class="keyword">></span>(<a class="code hl_function" href="backend_2metal_2kernels_2bf16_8h.html#a3b33ae338dc4f223d0f3c748de07bad1">bfloat_bits_to_float</a>(<a class="code hl_variable" href="struct___m_l_x___b_float16.html#a4113263b63e3757ea8334cc4f0f5c3c8">bits_</a>));</div>
|
||
|
|
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> }</div>
|
||
|
|
</div>
|
||
|
|
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> </div>
|
||
|
|
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> <span class="keyword">template</span> <</div>
|
||
|
|
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> <span class="keyword">typename</span> T,</div>
|
||
|
|
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> <span class="keyword">typename</span> = <span class="keyword">typename</span> enable_if<can_convert_from_bfloat<T>>::type></div>
|
||
|
|
<div class="foldopen" id="foldopen00117" data-start="{" data-end="}">
|
||
|
|
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"><a class="line" href="struct___m_l_x___b_float16.html#a1d523f87740fcb852db6ab57896c245a"> 117</a></span> <span class="keyword">constexpr</span> METAL_FUNC <span class="keyword">operator</span> T() const device {</div>
|
||
|
|
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> <span class="keywordflow">return</span> <span class="keyword">static_cast<</span>T<span class="keyword">></span>(<a class="code hl_function" href="backend_2metal_2kernels_2bf16_8h.html#a3b33ae338dc4f223d0f3c748de07bad1">bfloat_bits_to_float</a>(<a class="code hl_variable" href="struct___m_l_x___b_float16.html#a4113263b63e3757ea8334cc4f0f5c3c8">bits_</a>));</div>
|
||
|
|
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> }</div>
|
||
|
|
</div>
|
||
|
|
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> </div>
|
||
|
|
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> <span class="keyword">template</span> <</div>
|
||
|
|
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> <span class="keyword">typename</span> T,</div>
|
||
|
|
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> <span class="keyword">typename</span> = <span class="keyword">typename</span> enable_if<can_convert_from_bfloat<T>>::type></div>
|
||
|
|
<div class="foldopen" id="foldopen00124" data-start="{" data-end="}">
|
||
|
|
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"><a class="line" href="struct___m_l_x___b_float16.html#a95acd29283024d7093a0bc58c9468a0a"> 124</a></span> <span class="keyword">constexpr</span> METAL_FUNC <span class="keyword">operator</span> T() const constant {</div>
|
||
|
|
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> <span class="keywordflow">return</span> <span class="keyword">static_cast<</span>T<span class="keyword">></span>(<a class="code hl_function" href="backend_2metal_2kernels_2bf16_8h.html#a3b33ae338dc4f223d0f3c748de07bad1">bfloat_bits_to_float</a>(<a class="code hl_variable" href="struct___m_l_x___b_float16.html#a4113263b63e3757ea8334cc4f0f5c3c8">bits_</a>));</div>
|
||
|
|
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> }</div>
|
||
|
|
</div>
|
||
|
|
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span>};</div>
|
||
|
|
</div>
|
||
|
|
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> </div>
|
||
|
|
<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span><span class="comment">// Bfloat operators</span></div>
|
||
|
|
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> </div>
|
||
|
|
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span><span class="comment">// Unary ops</span></div>
|
||
|
|
<div class="foldopen" id="foldopen00135" data-start="{" data-end="}">
|
||
|
|
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"><a class="line" href="backend_2metal_2kernels_2bf16_8h.html#a6aedc8d6d0980134ac69b96f22d9a855"> 135</a></span><span class="keyword">constexpr</span> METAL_FUNC <a class="code hl_struct" href="struct___m_l_x___b_float16.html">_MLX_BFloat16</a> <a class="code hl_function" href="backend_2metal_2kernels_2bf16_8h.html#a6aedc8d6d0980134ac69b96f22d9a855">operator-</a>(<a class="code hl_struct" href="struct___m_l_x___b_float16.html">_MLX_BFloat16</a> x) {</div>
|
||
|
|
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span> <span class="keywordflow">return</span> -<span class="keyword">static_cast<</span><span class="keywordtype">float</span><span class="keyword">></span>(x);</div>
|
||
|
|
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span>}</div>
|
||
|
|
</div>
|
||
|
|
<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> </div>
|
||
|
|
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span><span class="comment">// Binary operators</span></div>
|
||
|
|
<div class="foldopen" id="foldopen00141" data-start="" data-end="">
|
||
|
|
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"><a class="line" href="backend_2metal_2kernels_2bf16_8h.html#a78c92beda4436da9a2e520fa98c59f70"> 141</a></span><span class="preprocessor">#define bfloat_binop_base(__op__, __operator__, otype, atype, btype, ctype) \</span></div>
|
||
|
|
<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span><span class="preprocessor"> constexpr METAL_FUNC otype __operator__(atype lhs, btype rhs) { \</span></div>
|
||
|
|
<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span><span class="preprocessor"> return static_cast<ctype>(lhs) __op__ static_cast<ctype>(rhs); \</span></div>
|
||
|
|
<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span><span class="preprocessor"> }</span></div>
|
||
|
|
</div>
|
||
|
|
<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span> </div>
|
||
|
|
<div class="foldopen" id="foldopen00146" data-start="" data-end="">
|
||
|
|
<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"><a class="line" href="backend_2metal_2kernels_2bf16_8h.html#ac7ff36230dab17e8f17b7a7c80888594"> 146</a></span><span class="preprocessor">#define bfloat_binop_helper(__op__, __operator__, otype, itype, ctype) \</span></div>
|
||
|
|
<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span><span class="preprocessor"> constexpr METAL_FUNC otype __operator__(_MLX_BFloat16 lhs, itype rhs) { \</span></div>
|
||
|
|
<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span><span class="preprocessor"> return static_cast<ctype>(lhs) __op__ static_cast<ctype>(rhs); \</span></div>
|
||
|
|
<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span><span class="preprocessor"> } \</span></div>
|
||
|
|
<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span><span class="preprocessor"> constexpr METAL_FUNC otype __operator__(itype lhs, _MLX_BFloat16 rhs) { \</span></div>
|
||
|
|
<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span><span class="preprocessor"> return static_cast<ctype>(lhs) __op__ static_cast<ctype>(rhs); \</span></div>
|
||
|
|
<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span><span class="preprocessor"> }</span></div>
|
||
|
|
</div>
|
||
|
|
<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</span> </div>
|
||
|
|
<div class="line"><a id="l00155" name="l00155"></a><span class="lineno"> 155</span><span class="comment">// Arithmetic Operators</span></div>
|
||
|
|
<div class="foldopen" id="foldopen00156" data-start="" data-end="">
|
||
|
|
<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"><a class="line" href="backend_2metal_2kernels_2bf16_8h.html#a7694892a131c0e31e5153c088cccb707"> 156</a></span><span class="preprocessor">#define bfloat_binop(_op_, _operator_) \</span></div>
|
||
|
|
<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span><span class="preprocessor"> bfloat_binop_base( \</span></div>
|
||
|
|
<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</span><span class="preprocessor"> _op_, _operator_, _MLX_BFloat16, _MLX_BFloat16, _MLX_BFloat16, float); \</span></div>
|
||
|
|
<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span><span class="preprocessor"> bfloat_binop_helper(_op_, _operator_, float, float, float); \</span></div>
|
||
|
|
<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span><span class="preprocessor"> bfloat_binop_helper(_op_, _operator_, float, half, float); \</span></div>
|
||
|
|
<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span><span class="preprocessor"> bfloat_binop_helper(_op_, _operator_, _MLX_BFloat16, int32_t, float); \</span></div>
|
||
|
|
<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span><span class="preprocessor"> bfloat_binop_helper(_op_, _operator_, _MLX_BFloat16, uint32_t, float); \</span></div>
|
||
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|
<div class="line"><a id="l00163" name="l00163"></a><span class="lineno"> 163</span><span class="preprocessor"> bfloat_binop_helper(_op_, _operator_, _MLX_BFloat16, int64_t, float); \</span></div>
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<div class="line"><a id="l00164" name="l00164"></a><span class="lineno"> 164</span><span class="preprocessor"> bfloat_binop_helper(_op_, _operator_, _MLX_BFloat16, uint64_t, float);</span></div>
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</div>
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||
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<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span> </div>
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||
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<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"><a class="line" href="backend_2metal_2kernels_2bf16_8h.html#a09c1a797eb7f43742578680899932f50"> 166</a></span><a class="code hl_define" href="backend_2metal_2kernels_2bf16_8h.html#a7694892a131c0e31e5153c088cccb707">bfloat_binop</a>(+, <span class="keyword">operator</span>+);</div>
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||
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<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"><a class="line" href="backend_2metal_2kernels_2bf16_8h.html#a333f67614dbf8027439a7e124052cb85"> 167</a></span><a class="code hl_define" href="backend_2metal_2kernels_2bf16_8h.html#a7694892a131c0e31e5153c088cccb707">bfloat_binop</a>(-, <span class="keyword">operator</span>-);</div>
|
||
|
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<div class="line"><a id="l00168" name="l00168"></a><span class="lineno"><a class="line" href="backend_2metal_2kernels_2bf16_8h.html#a8f06316063fc91747533105f256b55b5"> 168</a></span><a class="code hl_define" href="backend_2metal_2kernels_2bf16_8h.html#a7694892a131c0e31e5153c088cccb707">bfloat_binop</a>(*, <span class="keyword">operator</span>*);</div>
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||
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<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"><a class="line" href="backend_2metal_2kernels_2bf16_8h.html#a9f16a44e1c9836ca57edc1d7b93b5d7c"> 169</a></span><a class="code hl_define" href="backend_2metal_2kernels_2bf16_8h.html#a7694892a131c0e31e5153c088cccb707">bfloat_binop</a>(/, <span class="keyword">operator</span>/);</div>
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||
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<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"> 170</span> </div>
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<div class="line"><a id="l00172" name="l00172"></a><span class="lineno"> 172</span><span class="comment">// Comparison ops</span></div>
|
||
|
|
<div class="foldopen" id="foldopen00173" data-start="" data-end="">
|
||
|
|
<div class="line"><a id="l00173" name="l00173"></a><span class="lineno"><a class="line" href="backend_2metal_2kernels_2bf16_8h.html#a330a0883503cb640f1cf628a7ca50239"> 173</a></span><span class="preprocessor">#define bfloat_compop(__op__, __operator__) \</span></div>
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<div class="line"><a id="l00174" name="l00174"></a><span class="lineno"> 174</span><span class="preprocessor"> bfloat_binop_base( \</span></div>
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<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"> 175</span><span class="preprocessor"> __op__, __operator__, bool, _MLX_BFloat16, _MLX_BFloat16, float); \</span></div>
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<div class="line"><a id="l00176" name="l00176"></a><span class="lineno"> 176</span><span class="preprocessor"> bfloat_binop_helper(__op__, __operator__, bool, float, float); \</span></div>
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<div class="line"><a id="l00177" name="l00177"></a><span class="lineno"> 177</span><span class="preprocessor"> bfloat_binop_helper(__op__, __operator__, bool, half, float); \</span></div>
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||
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<div class="line"><a id="l00178" name="l00178"></a><span class="lineno"> 178</span><span class="preprocessor"> bfloat_binop_helper(__op__, __operator__, bool, int32_t, float); \</span></div>
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<div class="line"><a id="l00179" name="l00179"></a><span class="lineno"> 179</span><span class="preprocessor"> bfloat_binop_helper(__op__, __operator__, bool, uint32_t, float); \</span></div>
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||
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<div class="line"><a id="l00180" name="l00180"></a><span class="lineno"> 180</span><span class="preprocessor"> bfloat_binop_helper(__op__, __operator__, bool, int64_t, float); \</span></div>
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||
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<div class="line"><a id="l00181" name="l00181"></a><span class="lineno"> 181</span><span class="preprocessor"> bfloat_binop_helper(__op__, __operator__, bool, uint64_t, float);</span></div>
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||
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</div>
|
||
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|
<div class="line"><a id="l00182" name="l00182"></a><span class="lineno"> 182</span> </div>
|
||
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<div class="line"><a id="l00183" name="l00183"></a><span class="lineno"><a class="line" href="backend_2metal_2kernels_2bf16_8h.html#ae394c0a10e47d1d047854a888402eb57"> 183</a></span><a class="code hl_define" href="backend_2metal_2kernels_2bf16_8h.html#a330a0883503cb640f1cf628a7ca50239">bfloat_compop</a>(>, <span class="keyword">operator</span>>);</div>
|
||
|
|
<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"><a class="line" href="backend_2metal_2kernels_2bf16_8h.html#a9ef6a57b7185e9ca49e255fec1a44e25"> 184</a></span><a class="code hl_define" href="backend_2metal_2kernels_2bf16_8h.html#a330a0883503cb640f1cf628a7ca50239">bfloat_compop</a>(<, <span class="keyword">operator</span><);</div>
|
||
|
|
<div class="line"><a id="l00185" name="l00185"></a><span class="lineno"><a class="line" href="backend_2metal_2kernels_2bf16_8h.html#a430dd11fbf4c6f39bc1506ab43b2341f"> 185</a></span><a class="code hl_define" href="backend_2metal_2kernels_2bf16_8h.html#a330a0883503cb640f1cf628a7ca50239">bfloat_compop</a>(>=, <span class="keyword">operator</span>>=);</div>
|
||
|
|
<div class="line"><a id="l00186" name="l00186"></a><span class="lineno"><a class="line" href="backend_2metal_2kernels_2bf16_8h.html#af469c58cffeab488c681f4b33f02cd05"> 186</a></span><a class="code hl_define" href="backend_2metal_2kernels_2bf16_8h.html#a330a0883503cb640f1cf628a7ca50239">bfloat_compop</a>(<=, <span class="keyword">operator</span><=);</div>
|
||
|
|
<div class="line"><a id="l00187" name="l00187"></a><span class="lineno"><a class="line" href="backend_2metal_2kernels_2bf16_8h.html#a49a13b06a325ed3cca4004b6a0cde065"> 187</a></span><a class="code hl_define" href="backend_2metal_2kernels_2bf16_8h.html#a330a0883503cb640f1cf628a7ca50239">bfloat_compop</a>(==, <span class="keyword">operator</span>==);</div>
|
||
|
|
<div class="line"><a id="l00188" name="l00188"></a><span class="lineno"><a class="line" href="backend_2metal_2kernels_2bf16_8h.html#afc6e4fc5589bbf30f978f34868dd4e55"> 188</a></span><a class="code hl_define" href="backend_2metal_2kernels_2bf16_8h.html#a330a0883503cb640f1cf628a7ca50239">bfloat_compop</a>(!=, <span class="keyword">operator</span>!=);</div>
|
||
|
|
<div class="line"><a id="l00189" name="l00189"></a><span class="lineno"> 189</span> </div>
|
||
|
|
<div class="line"><a id="l00190" name="l00190"></a><span class="lineno"> 190</span><span class="preprocessor">#undef bfloat_compop</span></div>
|
||
|
|
<div class="line"><a id="l00191" name="l00191"></a><span class="lineno"> 191</span><span class="preprocessor">#undef bfloat_binop_base</span></div>
|
||
|
|
<div class="line"><a id="l00192" name="l00192"></a><span class="lineno"> 192</span><span class="preprocessor">#undef bfloat_binop_helper</span></div>
|
||
|
|
<div class="line"><a id="l00193" name="l00193"></a><span class="lineno"> 193</span><span class="preprocessor">#undef bfloat_binop</span></div>
|
||
|
|
<div class="line"><a id="l00194" name="l00194"></a><span class="lineno"> 194</span> </div>
|
||
|
|
<div class="line"><a id="l00196" name="l00196"></a><span class="lineno"> 196</span><span class="comment">// Inplace Operators</span></div>
|
||
|
|
<div class="foldopen" id="foldopen00197" data-start="" data-end="">
|
||
|
|
<div class="line"><a id="l00197" name="l00197"></a><span class="lineno"><a class="line" href="backend_2metal_2kernels_2bf16_8h.html#a2846fd11b5e19b435e9f7ef0998c9b1d"> 197</a></span><span class="preprocessor">#define bfloat_inplace_op_helper(__op__, __operator__, itype, addr_space) \</span></div>
|
||
|
|
<div class="line"><a id="l00198" name="l00198"></a><span class="lineno"> 198</span><span class="preprocessor"> constexpr METAL_FUNC addr_space _MLX_BFloat16& __operator__( \</span></div>
|
||
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|
<div class="line"><a id="l00199" name="l00199"></a><span class="lineno"> 199</span><span class="preprocessor"> addr_space _MLX_BFloat16& lhs, itype rhs) { \</span></div>
|
||
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<div class="line"><a id="l00200" name="l00200"></a><span class="lineno"> 200</span><span class="preprocessor"> lhs = static_cast<float>(lhs) __op__ static_cast<float>(rhs); \</span></div>
|
||
|
|
<div class="line"><a id="l00201" name="l00201"></a><span class="lineno"> 201</span><span class="preprocessor"> return lhs; \</span></div>
|
||
|
|
<div class="line"><a id="l00202" name="l00202"></a><span class="lineno"> 202</span><span class="preprocessor"> } \</span></div>
|
||
|
|
<div class="line"><a id="l00203" name="l00203"></a><span class="lineno"> 203</span><span class="preprocessor"> constexpr METAL_FUNC addr_space itype& __operator__( \</span></div>
|
||
|
|
<div class="line"><a id="l00204" name="l00204"></a><span class="lineno"> 204</span><span class="preprocessor"> addr_space itype& lhs, _MLX_BFloat16 rhs) { \</span></div>
|
||
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|
<div class="line"><a id="l00205" name="l00205"></a><span class="lineno"> 205</span><span class="preprocessor"> lhs = static_cast<float>(lhs) __op__ static_cast<float>(rhs); \</span></div>
|
||
|
|
<div class="line"><a id="l00206" name="l00206"></a><span class="lineno"> 206</span><span class="preprocessor"> return lhs; \</span></div>
|
||
|
|
<div class="line"><a id="l00207" name="l00207"></a><span class="lineno"> 207</span><span class="preprocessor"> }</span></div>
|
||
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|
</div>
|
||
|
|
<div class="line"><a id="l00208" name="l00208"></a><span class="lineno"> 208</span> </div>
|
||
|
|
<div class="foldopen" id="foldopen00209" data-start="" data-end="">
|
||
|
|
<div class="line"><a id="l00209" name="l00209"></a><span class="lineno"><a class="line" href="backend_2metal_2kernels_2bf16_8h.html#af30a2cbd2c3415516203b83bd21872f8"> 209</a></span><span class="preprocessor">#define bfloat_inplace_op_addr_space_helper(__op__, __operator__, itype) \</span></div>
|
||
|
|
<div class="line"><a id="l00210" name="l00210"></a><span class="lineno"> 210</span><span class="preprocessor"> bfloat_inplace_op_helper(__op__, __operator__, itype, device); \</span></div>
|
||
|
|
<div class="line"><a id="l00211" name="l00211"></a><span class="lineno"> 211</span><span class="preprocessor"> bfloat_inplace_op_helper(__op__, __operator__, itype, thread); \</span></div>
|
||
|
|
<div class="line"><a id="l00212" name="l00212"></a><span class="lineno"> 212</span><span class="preprocessor"> bfloat_inplace_op_helper(__op__, __operator__, itype, threadgroup);</span></div>
|
||
|
|
</div>
|
||
|
|
<div class="line"><a id="l00213" name="l00213"></a><span class="lineno"> 213</span> </div>
|
||
|
|
<div class="foldopen" id="foldopen00214" data-start="" data-end="">
|
||
|
|
<div class="line"><a id="l00214" name="l00214"></a><span class="lineno"><a class="line" href="backend_2metal_2kernels_2bf16_8h.html#a4ac82467fbc674e990090f482b9c1e5c"> 214</a></span><span class="preprocessor">#define bfloat_inplace_op(itype) \</span></div>
|
||
|
|
<div class="line"><a id="l00215" name="l00215"></a><span class="lineno"> 215</span><span class="preprocessor"> bfloat_inplace_op_addr_space_helper(+, operator+=, itype); \</span></div>
|
||
|
|
<div class="line"><a id="l00216" name="l00216"></a><span class="lineno"> 216</span><span class="preprocessor"> bfloat_inplace_op_addr_space_helper(-, operator-=, itype); \</span></div>
|
||
|
|
<div class="line"><a id="l00217" name="l00217"></a><span class="lineno"> 217</span><span class="preprocessor"> bfloat_inplace_op_addr_space_helper(*, operator*=, itype); \</span></div>
|
||
|
|
<div class="line"><a id="l00218" name="l00218"></a><span class="lineno"> 218</span><span class="preprocessor"> bfloat_inplace_op_addr_space_helper(/, operator/=, itype);</span></div>
|
||
|
|
</div>
|
||
|
|
<div class="line"><a id="l00219" name="l00219"></a><span class="lineno"> 219</span> </div>
|
||
|
|
<div class="line"><a id="l00220" name="l00220"></a><span class="lineno"><a class="line" href="backend_2metal_2kernels_2bf16_8h.html#a7232b0a0e193b3c6172d6fc2578bf419"> 220</a></span><a class="code hl_define" href="backend_2metal_2kernels_2bf16_8h.html#a4ac82467fbc674e990090f482b9c1e5c">bfloat_inplace_op</a>(<span class="keywordtype">float</span>);</div>
|
||
|
|
<div class="line"><a id="l00221" name="l00221"></a><span class="lineno"><a class="line" href="backend_2metal_2kernels_2bf16_8h.html#ab706af260b61f735b28464877d02137c"> 221</a></span><a class="code hl_define" href="backend_2metal_2kernels_2bf16_8h.html#a4ac82467fbc674e990090f482b9c1e5c">bfloat_inplace_op</a>(half);</div>
|
||
|
|
<div class="line"><a id="l00222" name="l00222"></a><span class="lineno"><a class="line" href="backend_2metal_2kernels_2bf16_8h.html#a81f65b04a87a25c7eb1a751d1be9fa55"> 222</a></span><a class="code hl_define" href="backend_2metal_2kernels_2bf16_8h.html#a4ac82467fbc674e990090f482b9c1e5c">bfloat_inplace_op</a>(int16_t);</div>
|
||
|
|
<div class="line"><a id="l00223" name="l00223"></a><span class="lineno"><a class="line" href="backend_2metal_2kernels_2bf16_8h.html#ae97ab6c3ddcc2754b24f86319a5398be"> 223</a></span><a class="code hl_define" href="backend_2metal_2kernels_2bf16_8h.html#a4ac82467fbc674e990090f482b9c1e5c">bfloat_inplace_op</a>(int32_t);</div>
|
||
|
|
<div class="line"><a id="l00224" name="l00224"></a><span class="lineno"><a class="line" href="backend_2metal_2kernels_2bf16_8h.html#a917354f77eac26189da8a2f610a00074"> 224</a></span><a class="code hl_define" href="backend_2metal_2kernels_2bf16_8h.html#a4ac82467fbc674e990090f482b9c1e5c">bfloat_inplace_op</a>(int64_t);</div>
|
||
|
|
<div class="line"><a id="l00225" name="l00225"></a><span class="lineno"><a class="line" href="backend_2metal_2kernels_2bf16_8h.html#a99aa4cc110d1c7aa3b4c8c5cbf9235b7"> 225</a></span><a class="code hl_define" href="backend_2metal_2kernels_2bf16_8h.html#a4ac82467fbc674e990090f482b9c1e5c">bfloat_inplace_op</a>(uint16_t);</div>
|
||
|
|
<div class="line"><a id="l00226" name="l00226"></a><span class="lineno"><a class="line" href="backend_2metal_2kernels_2bf16_8h.html#aeff4c28986f98c23de1df17043edb0f5"> 226</a></span><a class="code hl_define" href="backend_2metal_2kernels_2bf16_8h.html#a4ac82467fbc674e990090f482b9c1e5c">bfloat_inplace_op</a>(uint32_t);</div>
|
||
|
|
<div class="line"><a id="l00227" name="l00227"></a><span class="lineno"><a class="line" href="backend_2metal_2kernels_2bf16_8h.html#a1a2a683ff40490226eb1371fb905023d"> 227</a></span><a class="code hl_define" href="backend_2metal_2kernels_2bf16_8h.html#a4ac82467fbc674e990090f482b9c1e5c">bfloat_inplace_op</a>(uint64_t);</div>
|
||
|
|
<div class="line"><a id="l00228" name="l00228"></a><span class="lineno"> 228</span> </div>
|
||
|
|
<div class="line"><a id="l00229" name="l00229"></a><span class="lineno"> 229</span><span class="preprocessor">#undef bfloat_inplace_op_helper</span></div>
|
||
|
|
<div class="line"><a id="l00230" name="l00230"></a><span class="lineno"> 230</span><span class="preprocessor">#undef bfloat_inplace_op_addr_space_helper</span></div>
|
||
|
|
<div class="line"><a id="l00231" name="l00231"></a><span class="lineno"> 231</span><span class="preprocessor">#undef bfloat_inplace_op</span></div>
|
||
|
|
<div class="line"><a id="l00232" name="l00232"></a><span class="lineno"> 232</span> </div>
|
||
|
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<div class="line"><a id="l00233" name="l00233"></a><span class="lineno"> 233</span><span class="preprocessor">#define bfloat_inplace_op_helper(__op__, __operator__, addr_space) \</span></div>
|
||
|
|
<div class="line"><a id="l00234" name="l00234"></a><span class="lineno"> 234</span><span class="preprocessor"> constexpr METAL_FUNC addr_space _MLX_BFloat16& __operator__( \</span></div>
|
||
|
|
<div class="line"><a id="l00235" name="l00235"></a><span class="lineno"> 235</span><span class="preprocessor"> addr_space _MLX_BFloat16& lhs, _MLX_BFloat16 rhs) { \</span></div>
|
||
|
|
<div class="line"><a id="l00236" name="l00236"></a><span class="lineno"> 236</span><span class="preprocessor"> lhs = static_cast<float>(lhs) __op__ static_cast<float>(rhs); \</span></div>
|
||
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|
<div class="line"><a id="l00237" name="l00237"></a><span class="lineno"> 237</span><span class="preprocessor"> return lhs; \</span></div>
|
||
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|
<div class="line"><a id="l00238" name="l00238"></a><span class="lineno"> 238</span><span class="preprocessor"> }</span></div>
|
||
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|
<div class="line"><a id="l00239" name="l00239"></a><span class="lineno"> 239</span> </div>
|
||
|
|
<div class="line"><a id="l00240" name="l00240"></a><span class="lineno"> 240</span><span class="preprocessor">#define bfloat_inplace_op_addr_space_helper(__op__, __operator__) \</span></div>
|
||
|
|
<div class="line"><a id="l00241" name="l00241"></a><span class="lineno"> 241</span><span class="preprocessor"> bfloat_inplace_op_helper(__op__, __operator__, device); \</span></div>
|
||
|
|
<div class="line"><a id="l00242" name="l00242"></a><span class="lineno"> 242</span><span class="preprocessor"> bfloat_inplace_op_helper(__op__, __operator__, thread); \</span></div>
|
||
|
|
<div class="line"><a id="l00243" name="l00243"></a><span class="lineno"> 243</span><span class="preprocessor"> bfloat_inplace_op_helper(__op__, __operator__, threadgroup);</span></div>
|
||
|
|
<div class="line"><a id="l00244" name="l00244"></a><span class="lineno"> 244</span> </div>
|
||
|
|
<div class="line"><a id="l00245" name="l00245"></a><span class="lineno"><a class="line" href="backend_2metal_2kernels_2bf16_8h.html#a24ca436ab299a710263d65302532dd3b"> 245</a></span><a class="code hl_define" href="backend_2metal_2kernels_2bf16_8h.html#af30a2cbd2c3415516203b83bd21872f8">bfloat_inplace_op_addr_space_helper</a>(+, <span class="keyword">operator</span>+=);</div>
|
||
|
|
<div class="line"><a id="l00246" name="l00246"></a><span class="lineno"><a class="line" href="backend_2metal_2kernels_2bf16_8h.html#a0d3fb52437c677c5d0f1a3642384b15c"> 246</a></span><a class="code hl_define" href="backend_2metal_2kernels_2bf16_8h.html#af30a2cbd2c3415516203b83bd21872f8">bfloat_inplace_op_addr_space_helper</a>(-, <span class="keyword">operator</span>-=);</div>
|
||
|
|
<div class="line"><a id="l00247" name="l00247"></a><span class="lineno"><a class="line" href="backend_2metal_2kernels_2bf16_8h.html#a13aa79165ec87710e977f33fe0361e91"> 247</a></span><a class="code hl_define" href="backend_2metal_2kernels_2bf16_8h.html#af30a2cbd2c3415516203b83bd21872f8">bfloat_inplace_op_addr_space_helper</a>(*, <span class="keyword">operator</span>*=);</div>
|
||
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|
<div class="line"><a id="l00248" name="l00248"></a><span class="lineno"><a class="line" href="backend_2metal_2kernels_2bf16_8h.html#af1a12a1efb618a57da6dd41ae18cb53c"> 248</a></span><a class="code hl_define" href="backend_2metal_2kernels_2bf16_8h.html#af30a2cbd2c3415516203b83bd21872f8">bfloat_inplace_op_addr_space_helper</a>(/, <span class="keyword">operator</span>/=);</div>
|
||
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|
<div class="line"><a id="l00249" name="l00249"></a><span class="lineno"> 249</span> </div>
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||
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<div class="line"><a id="l00250" name="l00250"></a><span class="lineno"> 250</span><span class="preprocessor">#undef bfloat_inplace_op_helper</span></div>
|
||
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<div class="line"><a id="l00251" name="l00251"></a><span class="lineno"> 251</span><span class="preprocessor">#undef bfloat_inplace_op_addr_space_helper</span></div>
|
||
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<div class="line"><a id="l00252" name="l00252"></a><span class="lineno"> 252</span> </div>
|
||
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<div class="line"><a id="l00254" name="l00254"></a><span class="lineno"> 254</span><span class="comment">// Bfloat typedef</span></div>
|
||
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<div class="line"><a id="l00256" name="l00256"></a><span class="lineno"> 256</span> </div>
|
||
|
|
<div class="line"><a id="l00257" name="l00257"></a><span class="lineno"><a class="line" href="backend_2metal_2kernels_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82"> 257</a></span><span class="keyword">typedef</span> <span class="keyword">struct </span><a class="code hl_struct" href="struct___m_l_x___b_float16.html">_MLX_BFloat16</a> <a class="code hl_struct" href="struct___m_l_x___b_float16.html">bfloat16_t</a>;</div>
|
||
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<div class="line"><a id="l00258" name="l00258"></a><span class="lineno"> 258</span> </div>
|
||
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<div class="line"><a id="l00260" name="l00260"></a><span class="lineno"> 260</span><span class="comment">// Bfloat numeric limits</span></div>
|
||
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<div class="line"><a id="l00262" name="l00262"></a><span class="lineno"> 262</span> </div>
|
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<div class="line"><a id="l00263" name="l00263"></a><span class="lineno"> 263</span><span class="preprocessor">#pragma METAL internals : enable</span></div>
|
||
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<div class="line"><a id="l00264" name="l00264"></a><span class="lineno"> 264</span> </div>
|
||
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<div class="foldopen" id="foldopen00265" data-start="{" data-end="}">
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||
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|
<div class="line"><a id="l00265" name="l00265"></a><span class="lineno"><a class="line" href="namespacemetal.html"> 265</a></span><span class="keyword">namespace </span><a class="code hl_namespace" href="namespacemetal.html">metal</a> {</div>
|
||
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<div class="line"><a id="l00266" name="l00266"></a><span class="lineno"> 266</span> </div>
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<div class="line"><a id="l00267" name="l00267"></a><span class="lineno"> 267</span><span class="keyword">template</span> <></div>
|
||
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<div class="foldopen" id="foldopen00268" data-start="{" data-end="};">
|
||
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<div class="line"><a id="l00268" name="l00268"></a><span class="lineno"><a class="line" href="structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html"> 268</a></span><span class="keyword">struct </span>_numeric_limits_impl<<a class="code hl_struct" href="struct___m_l_x___b_float16.html">bfloat16_t</a>> : _fp_numeric_limits_impl_base {</div>
|
||
|
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<div class="line"><a id="l00269" name="l00269"></a><span class="lineno"><a class="line" href="structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#af6a681edff230c8d734a1feefb8d1879"> 269</a></span> <span class="keyword">static</span> <span class="keyword">constexpr</span> constant <span class="keywordtype">int</span> digits = 8;</div>
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||
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<div class="line"><a id="l00270" name="l00270"></a><span class="lineno"><a class="line" href="structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#a0f48dd0c8a2d2dfa825067fb212b2e6b"> 270</a></span> <span class="keyword">static</span> <span class="keyword">constexpr</span> constant <span class="keywordtype">int</span> digits10 = 2;</div>
|
||
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<div class="line"><a id="l00271" name="l00271"></a><span class="lineno"><a class="line" href="structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#a8d3905e6f158379a0c52682266e8d0e2"> 271</a></span> <span class="keyword">static</span> <span class="keyword">constexpr</span> constant <span class="keywordtype">int</span> max_digits10 = 4;</div>
|
||
|
|
<div class="line"><a id="l00272" name="l00272"></a><span class="lineno"><a class="line" href="structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#aaefa8c2cadd11ac7e22f7b2c5edbd1cd"> 272</a></span> <span class="keyword">static</span> <span class="keyword">constexpr</span> constant <span class="keywordtype">int</span> radix = 2;</div>
|
||
|
|
<div class="line"><a id="l00273" name="l00273"></a><span class="lineno"><a class="line" href="structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#a13829f8c7a7c0efdc8946eff5d3c9470"> 273</a></span> <span class="keyword">static</span> <span class="keyword">constexpr</span> constant <span class="keywordtype">int</span> min_exponent = -125;</div>
|
||
|
|
<div class="line"><a id="l00274" name="l00274"></a><span class="lineno"><a class="line" href="structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#aeaed172780720e06b8731cef3177e277"> 274</a></span> <span class="keyword">static</span> <span class="keyword">constexpr</span> constant <span class="keywordtype">int</span> min_exponent10 = -37;</div>
|
||
|
|
<div class="line"><a id="l00275" name="l00275"></a><span class="lineno"><a class="line" href="structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#a61bb136f819fa392c50bdf3c38f3aad2"> 275</a></span> <span class="keyword">static</span> <span class="keyword">constexpr</span> constant <span class="keywordtype">int</span> max_exponent = 128;</div>
|
||
|
|
<div class="line"><a id="l00276" name="l00276"></a><span class="lineno"><a class="line" href="structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#a76bfb2deb0e0afc011f77bf5a6d0ed94"> 276</a></span> <span class="keyword">static</span> <span class="keyword">constexpr</span> constant <span class="keywordtype">int</span> max_exponent10 = 38;</div>
|
||
|
|
<div class="line"><a id="l00277" name="l00277"></a><span class="lineno"> 277</span> </div>
|
||
|
|
<div class="foldopen" id="foldopen00278" data-start="{" data-end="}">
|
||
|
|
<div class="line"><a id="l00278" name="l00278"></a><span class="lineno"><a class="line" href="structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#adaed80031f5ca0ff69d30ec4c5d0c98f"> 278</a></span> <span class="keyword">static</span> <span class="keyword">constexpr</span> <a class="code hl_struct" href="struct___m_l_x___b_float16.html">bfloat16_t</a> <a class="code hl_function" href="structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#adaed80031f5ca0ff69d30ec4c5d0c98f">min</a>() {</div>
|
||
|
|
<div class="line"><a id="l00279" name="l00279"></a><span class="lineno"> 279</span> <span class="keywordflow">return</span> <a class="code hl_struct" href="struct___m_l_x___b_float16.html">_MLX_BFloat16</a>(0x0080, <a class="code hl_function" href="struct___m_l_x___b_float16.html#a91ccb774773b65f8d4c1aea3f1c6e1ca">_MLX_BFloat16::bits_to_bfloat</a>());</div>
|
||
|
|
<div class="line"><a id="l00280" name="l00280"></a><span class="lineno"> 280</span> }</div>
|
||
|
|
</div>
|
||
|
|
<div class="foldopen" id="foldopen00281" data-start="{" data-end="}">
|
||
|
|
<div class="line"><a id="l00281" name="l00281"></a><span class="lineno"><a class="line" href="structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#ae81c58b8223e504965183c99d19a2116"> 281</a></span> <span class="keyword">static</span> <span class="keyword">constexpr</span> <a class="code hl_struct" href="struct___m_l_x___b_float16.html">bfloat16_t</a> <a class="code hl_function" href="structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#ae81c58b8223e504965183c99d19a2116">lowest</a>() {</div>
|
||
|
|
<div class="line"><a id="l00282" name="l00282"></a><span class="lineno"> 282</span> <span class="keywordflow">return</span> <a class="code hl_struct" href="struct___m_l_x___b_float16.html">_MLX_BFloat16</a>(0xFF7F, <a class="code hl_function" href="struct___m_l_x___b_float16.html#a91ccb774773b65f8d4c1aea3f1c6e1ca">_MLX_BFloat16::bits_to_bfloat</a>());</div>
|
||
|
|
<div class="line"><a id="l00283" name="l00283"></a><span class="lineno"> 283</span> }</div>
|
||
|
|
</div>
|
||
|
|
<div class="foldopen" id="foldopen00284" data-start="{" data-end="}">
|
||
|
|
<div class="line"><a id="l00284" name="l00284"></a><span class="lineno"><a class="line" href="structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#a92320d40a58218e40cc414986ac95c50"> 284</a></span> <span class="keyword">static</span> <span class="keyword">constexpr</span> <a class="code hl_struct" href="struct___m_l_x___b_float16.html">bfloat16_t</a> <a class="code hl_function" href="structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#a92320d40a58218e40cc414986ac95c50">max</a>() {</div>
|
||
|
|
<div class="line"><a id="l00285" name="l00285"></a><span class="lineno"> 285</span> <span class="keywordflow">return</span> <a class="code hl_struct" href="struct___m_l_x___b_float16.html">_MLX_BFloat16</a>(0x7F7F, <a class="code hl_function" href="struct___m_l_x___b_float16.html#a91ccb774773b65f8d4c1aea3f1c6e1ca">_MLX_BFloat16::bits_to_bfloat</a>());</div>
|
||
|
|
<div class="line"><a id="l00286" name="l00286"></a><span class="lineno"> 286</span> }</div>
|
||
|
|
</div>
|
||
|
|
<div class="foldopen" id="foldopen00287" data-start="{" data-end="}">
|
||
|
|
<div class="line"><a id="l00287" name="l00287"></a><span class="lineno"><a class="line" href="structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#a96c4197e3076f0aa9065370b8ece49ca"> 287</a></span> <span class="keyword">static</span> <span class="keyword">constexpr</span> <a class="code hl_struct" href="struct___m_l_x___b_float16.html">bfloat16_t</a> <a class="code hl_function" href="structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#a96c4197e3076f0aa9065370b8ece49ca">epsilon</a>() {</div>
|
||
|
|
<div class="line"><a id="l00288" name="l00288"></a><span class="lineno"> 288</span> <span class="keywordflow">return</span> <a class="code hl_struct" href="struct___m_l_x___b_float16.html">_MLX_BFloat16</a>(0x3C00, <a class="code hl_function" href="struct___m_l_x___b_float16.html#a91ccb774773b65f8d4c1aea3f1c6e1ca">_MLX_BFloat16::bits_to_bfloat</a>());</div>
|
||
|
|
<div class="line"><a id="l00289" name="l00289"></a><span class="lineno"> 289</span> }</div>
|
||
|
|
</div>
|
||
|
|
<div class="foldopen" id="foldopen00290" data-start="{" data-end="}">
|
||
|
|
<div class="line"><a id="l00290" name="l00290"></a><span class="lineno"><a class="line" href="structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#afa223448fa4f04c1113a85345dd720c3"> 290</a></span> <span class="keyword">static</span> <span class="keyword">constexpr</span> <a class="code hl_struct" href="struct___m_l_x___b_float16.html">bfloat16_t</a> <a class="code hl_function" href="structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#afa223448fa4f04c1113a85345dd720c3">round_error</a>() {</div>
|
||
|
|
<div class="line"><a id="l00291" name="l00291"></a><span class="lineno"> 291</span> <span class="keywordflow">return</span> <a class="code hl_struct" href="struct___m_l_x___b_float16.html">_MLX_BFloat16</a>(0x3F00, <a class="code hl_function" href="struct___m_l_x___b_float16.html#a91ccb774773b65f8d4c1aea3f1c6e1ca">_MLX_BFloat16::bits_to_bfloat</a>());</div>
|
||
|
|
<div class="line"><a id="l00292" name="l00292"></a><span class="lineno"> 292</span> }</div>
|
||
|
|
</div>
|
||
|
|
<div class="foldopen" id="foldopen00293" data-start="{" data-end="}">
|
||
|
|
<div class="line"><a id="l00293" name="l00293"></a><span class="lineno"><a class="line" href="structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#a61eb741e7af49046beb863abf023b206"> 293</a></span> <span class="keyword">static</span> <span class="keyword">constexpr</span> <a class="code hl_struct" href="struct___m_l_x___b_float16.html">bfloat16_t</a> <a class="code hl_function" href="structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#a61eb741e7af49046beb863abf023b206">infinity</a>() {</div>
|
||
|
|
<div class="line"><a id="l00294" name="l00294"></a><span class="lineno"> 294</span> <span class="keywordflow">return</span> <a class="code hl_struct" href="struct___m_l_x___b_float16.html">_MLX_BFloat16</a>(0x7F80, <a class="code hl_function" href="struct___m_l_x___b_float16.html#a91ccb774773b65f8d4c1aea3f1c6e1ca">_MLX_BFloat16::bits_to_bfloat</a>());</div>
|
||
|
|
<div class="line"><a id="l00295" name="l00295"></a><span class="lineno"> 295</span> }</div>
|
||
|
|
</div>
|
||
|
|
<div class="foldopen" id="foldopen00296" data-start="{" data-end="}">
|
||
|
|
<div class="line"><a id="l00296" name="l00296"></a><span class="lineno"><a class="line" href="structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#aebeb07c01984be246bc2d1b8f8e4ac7b"> 296</a></span> <span class="keyword">static</span> <span class="keyword">constexpr</span> <a class="code hl_struct" href="struct___m_l_x___b_float16.html">bfloat16_t</a> <a class="code hl_function" href="structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#aebeb07c01984be246bc2d1b8f8e4ac7b">quiet_NaN</a>() {</div>
|
||
|
|
<div class="line"><a id="l00297" name="l00297"></a><span class="lineno"> 297</span> <span class="keywordflow">return</span> <a class="code hl_struct" href="struct___m_l_x___b_float16.html">_MLX_BFloat16</a>(0x7FC0, <a class="code hl_function" href="struct___m_l_x___b_float16.html#a91ccb774773b65f8d4c1aea3f1c6e1ca">_MLX_BFloat16::bits_to_bfloat</a>());</div>
|
||
|
|
<div class="line"><a id="l00298" name="l00298"></a><span class="lineno"> 298</span> }</div>
|
||
|
|
</div>
|
||
|
|
<div class="foldopen" id="foldopen00299" data-start="{" data-end="}">
|
||
|
|
<div class="line"><a id="l00299" name="l00299"></a><span class="lineno"><a class="line" href="structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#ad1f76a43c7d51a3765174aa6e0dd9f80"> 299</a></span> <span class="keyword">static</span> <span class="keyword">constexpr</span> <a class="code hl_struct" href="struct___m_l_x___b_float16.html">bfloat16_t</a> <a class="code hl_function" href="structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#ad1f76a43c7d51a3765174aa6e0dd9f80">signaling_NaN</a>() {</div>
|
||
|
|
<div class="line"><a id="l00300" name="l00300"></a><span class="lineno"> 300</span> <span class="keywordflow">return</span> <a class="code hl_struct" href="struct___m_l_x___b_float16.html">_MLX_BFloat16</a>(0x7F80, <a class="code hl_function" href="struct___m_l_x___b_float16.html#a91ccb774773b65f8d4c1aea3f1c6e1ca">_MLX_BFloat16::bits_to_bfloat</a>());</div>
|
||
|
|
<div class="line"><a id="l00301" name="l00301"></a><span class="lineno"> 301</span> }</div>
|
||
|
|
</div>
|
||
|
|
<div class="foldopen" id="foldopen00302" data-start="{" data-end="}">
|
||
|
|
<div class="line"><a id="l00302" name="l00302"></a><span class="lineno"><a class="line" href="structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#a6a9dbcba4dd79cad50876dda506b9eed"> 302</a></span> <span class="keyword">static</span> <span class="keyword">constexpr</span> <a class="code hl_struct" href="struct___m_l_x___b_float16.html">bfloat16_t</a> <a class="code hl_function" href="structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#a6a9dbcba4dd79cad50876dda506b9eed">denorm_min</a>() {</div>
|
||
|
|
<div class="line"><a id="l00303" name="l00303"></a><span class="lineno"> 303</span> <span class="keywordflow">return</span> <a class="code hl_struct" href="struct___m_l_x___b_float16.html">_MLX_BFloat16</a>(0x0001, <a class="code hl_function" href="struct___m_l_x___b_float16.html#a91ccb774773b65f8d4c1aea3f1c6e1ca">_MLX_BFloat16::bits_to_bfloat</a>());</div>
|
||
|
|
<div class="line"><a id="l00304" name="l00304"></a><span class="lineno"> 304</span> }</div>
|
||
|
|
</div>
|
||
|
|
<div class="line"><a id="l00305" name="l00305"></a><span class="lineno"> 305</span>};</div>
|
||
|
|
</div>
|
||
|
|
<div class="line"><a id="l00306" name="l00306"></a><span class="lineno"> 306</span> </div>
|
||
|
|
<div class="foldopen" id="foldopen00307" data-start="{" data-end="}">
|
||
|
|
<div class="line"><a id="l00307" name="l00307"></a><span class="lineno"><a class="line" href="namespacemetal.html#a83320ba983d90dd1fa5847b6940dc0bb"> 307</a></span>METAL_FUNC <span class="keywordtype">bool</span> <a class="code hl_function" href="namespacemetal.html#a83320ba983d90dd1fa5847b6940dc0bb">isnan</a>(<a class="code hl_struct" href="struct___m_l_x___b_float16.html">_MLX_BFloat16</a> x) {</div>
|
||
|
|
<div class="line"><a id="l00308" name="l00308"></a><span class="lineno"> 308</span> <span class="keywordflow">return</span> x != x;</div>
|
||
|
|
<div class="line"><a id="l00309" name="l00309"></a><span class="lineno"> 309</span>}</div>
|
||
|
|
</div>
|
||
|
|
<div class="line"><a id="l00310" name="l00310"></a><span class="lineno"> 310</span> </div>
|
||
|
|
<div class="line"><a id="l00311" name="l00311"></a><span class="lineno"> 311</span>} <span class="comment">// namespace metal</span></div>
|
||
|
|
</div>
|
||
|
|
<div class="line"><a id="l00312" name="l00312"></a><span class="lineno"> 312</span> </div>
|
||
|
|
<div class="line"><a id="l00313" name="l00313"></a><span class="lineno"> 313</span><span class="preprocessor">#pragma METAL internals : disable</span></div>
|
||
|
|
<div class="line"><a id="l00314" name="l00314"></a><span class="lineno"> 314</span> </div>
|
||
|
|
<div class="line"><a id="l00315" name="l00315"></a><span class="lineno"> 315</span><span class="preprocessor">#endif</span></div>
|
||
|
|
<div class="line"><a id="l00316" name="l00316"></a><span class="lineno"> 316</span> </div>
|
||
|
|
<div class="line"><a id="l00317" name="l00317"></a><span class="lineno"> 317</span><span class="preprocessor">#include "<a class="code" href="bf16__math_8h.html">mlx/backend/metal/kernels/bf16_math.h</a>"</span></div>
|
||
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<div class="ttc" id="abackend_2metal_2kernels_2bf16_8h_html_a31ce5e8e860295fa236e0d4b0befeae1"><div class="ttname"><a href="backend_2metal_2kernels_2bf16_8h.html#a31ce5e8e860295fa236e0d4b0befeae1">float_to_bfloat_bits</a></div><div class="ttdeci">constexpr METAL_FUNC uint16_t float_to_bfloat_bits(float x)</div><div class="ttdef"><b>Definition</b> bf16.h:19</div></div>
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<div class="ttc" id="abackend_2metal_2kernels_2bf16_8h_html_a330a0883503cb640f1cf628a7ca50239"><div class="ttname"><a href="backend_2metal_2kernels_2bf16_8h.html#a330a0883503cb640f1cf628a7ca50239">bfloat_compop</a></div><div class="ttdeci">#define bfloat_compop(__op__, __operator__)</div><div class="ttdef"><b>Definition</b> bf16.h:173</div></div>
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<div class="ttc" id="abackend_2metal_2kernels_2bf16_8h_html_a3b33ae338dc4f223d0f3c748de07bad1"><div class="ttname"><a href="backend_2metal_2kernels_2bf16_8h.html#a3b33ae338dc4f223d0f3c748de07bad1">bfloat_bits_to_float</a></div><div class="ttdeci">constexpr METAL_FUNC float bfloat_bits_to_float(uint16_t x)</div><div class="ttdef"><b>Definition</b> bf16.h:35</div></div>
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<div class="ttc" id="abackend_2metal_2kernels_2bf16_8h_html_a4ac82467fbc674e990090f482b9c1e5c"><div class="ttname"><a href="backend_2metal_2kernels_2bf16_8h.html#a4ac82467fbc674e990090f482b9c1e5c">bfloat_inplace_op</a></div><div class="ttdeci">#define bfloat_inplace_op(itype)</div><div class="ttdef"><b>Definition</b> bf16.h:214</div></div>
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<div class="ttc" id="abackend_2metal_2kernels_2bf16_8h_html_a6aedc8d6d0980134ac69b96f22d9a855"><div class="ttname"><a href="backend_2metal_2kernels_2bf16_8h.html#a6aedc8d6d0980134ac69b96f22d9a855">operator-</a></div><div class="ttdeci">constexpr METAL_FUNC _MLX_BFloat16 operator-(_MLX_BFloat16 x)</div><div class="ttdef"><b>Definition</b> bf16.h:135</div></div>
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<div class="ttc" id="abackend_2metal_2kernels_2bf16_8h_html_a7694892a131c0e31e5153c088cccb707"><div class="ttname"><a href="backend_2metal_2kernels_2bf16_8h.html#a7694892a131c0e31e5153c088cccb707">bfloat_binop</a></div><div class="ttdeci">#define bfloat_binop(_op_, _operator_)</div><div class="ttdef"><b>Definition</b> bf16.h:156</div></div>
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<div class="ttc" id="abackend_2metal_2kernels_2bf16_8h_html_a7782de82393104dd4ad754ce3b316e82"><div class="ttname"><a href="backend_2metal_2kernels_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82">bfloat16_t</a></div><div class="ttdeci">struct _MLX_BFloat16 bfloat16_t</div><div class="ttdef"><b>Definition</b> bf16.h:257</div></div>
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<div class="ttc" id="abackend_2metal_2kernels_2bf16_8h_html_a7e5992f7fcd8f2cdadcc1d7f6aefbb5a"><div class="ttname"><a href="backend_2metal_2kernels_2bf16_8h.html#a7e5992f7fcd8f2cdadcc1d7f6aefbb5a">can_convert_from_bfloat</a></div><div class="ttdeci">static constexpr constant bool can_convert_from_bfloat</div><div class="ttdef"><b>Definition</b> bf16.h:47</div></div>
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<div class="ttc" id="abackend_2metal_2kernels_2bf16_8h_html_aae77817d261452b2f001f4d947a3e04e"><div class="ttname"><a href="backend_2metal_2kernels_2bf16_8h.html#aae77817d261452b2f001f4d947a3e04e">can_convert_to_bfloat</a></div><div class="ttdeci">static constexpr constant bool can_convert_to_bfloat</div><div class="ttdef"><b>Definition</b> bf16.h:43</div></div>
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<div class="ttc" id="abackend_2metal_2kernels_2bf16_8h_html_af30a2cbd2c3415516203b83bd21872f8"><div class="ttname"><a href="backend_2metal_2kernels_2bf16_8h.html#af30a2cbd2c3415516203b83bd21872f8">bfloat_inplace_op_addr_space_helper</a></div><div class="ttdeci">#define bfloat_inplace_op_addr_space_helper(__op__, __operator__, itype)</div><div class="ttdef"><b>Definition</b> bf16.h:209</div></div>
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<div class="ttc" id="abf16__math_8h_html"><div class="ttname"><a href="bf16__math_8h.html">bf16_math.h</a></div></div>
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<div class="ttc" id="anamespacemetal_html"><div class="ttname"><a href="namespacemetal.html">metal</a></div><div class="ttdef"><b>Definition</b> bf16.h:265</div></div>
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<div class="ttc" id="anamespacemetal_html_a83320ba983d90dd1fa5847b6940dc0bb"><div class="ttname"><a href="namespacemetal.html#a83320ba983d90dd1fa5847b6940dc0bb">metal::isnan</a></div><div class="ttdeci">METAL_FUNC bool isnan(_MLX_BFloat16 x)</div><div class="ttdef"><b>Definition</b> bf16.h:307</div></div>
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<div class="ttc" id="astruct___m_l_x___b_float16_1_1bits__to__bfloat__struct_html"><div class="ttname"><a href="struct___m_l_x___b_float16_1_1bits__to__bfloat__struct.html">_MLX_BFloat16::bits_to_bfloat_struct</a></div><div class="ttdef"><b>Definition</b> bf16.h:63</div></div>
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<div class="ttc" id="astruct___m_l_x___b_float16_html"><div class="ttname"><a href="struct___m_l_x___b_float16.html">_MLX_BFloat16</a></div><div class="ttdef"><b>Definition</b> bf16.h:54</div></div>
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<div class="ttc" id="astruct___m_l_x___b_float16_html_a24c5736f234e09a0c82b00c7e44cc547"><div class="ttname"><a href="struct___m_l_x___b_float16.html#a24c5736f234e09a0c82b00c7e44cc547">_MLX_BFloat16::_MLX_BFloat16</a></div><div class="ttdeci">constexpr METAL_FUNC _MLX_BFloat16(T x) thread</div><div class="ttdef"><b>Definition</b> bf16.h:76</div></div>
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<div class="ttc" id="astruct___m_l_x___b_float16_html_a4113263b63e3757ea8334cc4f0f5c3c8"><div class="ttname"><a href="struct___m_l_x___b_float16.html#a4113263b63e3757ea8334cc4f0f5c3c8">_MLX_BFloat16::bits_</a></div><div class="ttdeci">uint16_t bits_</div><div class="ttdef"><b>Definition</b> bf16.h:57</div></div>
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<div class="ttc" id="astruct___m_l_x___b_float16_html_a50d825f05a162d0ac133ad8b6f3c3112"><div class="ttname"><a href="struct___m_l_x___b_float16.html#a50d825f05a162d0ac133ad8b6f3c3112">_MLX_BFloat16::_MLX_BFloat16</a></div><div class="ttdeci">constexpr METAL_FUNC _MLX_BFloat16(uint16_t bits, bits_to_bfloat_struct)</div><div class="ttdef"><b>Definition</b> bf16.h:67</div></div>
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<div class="ttc" id="astruct___m_l_x___b_float16_html_a91ccb774773b65f8d4c1aea3f1c6e1ca"><div class="ttname"><a href="struct___m_l_x___b_float16.html#a91ccb774773b65f8d4c1aea3f1c6e1ca">_MLX_BFloat16::bits_to_bfloat</a></div><div class="ttdeci">static constexpr METAL_FUNC bits_to_bfloat_struct bits_to_bfloat()</div><div class="ttdef"><b>Definition</b> bf16.h:64</div></div>
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<div class="ttc" id="astruct___m_l_x___b_float16_html_ab1af7700f5d1e4ab567da6a34fa84668"><div class="ttname"><a href="struct___m_l_x___b_float16.html#ab1af7700f5d1e4ab567da6a34fa84668">_MLX_BFloat16::_MLX_BFloat16</a></div><div class="ttdeci">_MLX_BFloat16() thread=default</div></div>
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<div class="ttc" id="astruct___m_l_x___b_float16_html_ad2701d003e8fad168c89abc3907c6e53"><div class="ttname"><a href="struct___m_l_x___b_float16.html#ad2701d003e8fad168c89abc3907c6e53">_MLX_BFloat16::_MLX_BFloat16</a></div><div class="ttdeci">constexpr METAL_FUNC _MLX_BFloat16(T x) device</div><div class="ttdef"><b>Definition</b> bf16.h:88</div></div>
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<div class="ttc" id="astruct___m_l_x___b_float16_html_adeb880f31121c6dc40ce47765c6c7455"><div class="ttname"><a href="struct___m_l_x___b_float16.html#adeb880f31121c6dc40ce47765c6c7455">_MLX_BFloat16::_MLX_BFloat16</a></div><div class="ttdeci">constexpr METAL_FUNC _MLX_BFloat16(T x) threadgroup</div><div class="ttdef"><b>Definition</b> bf16.h:82</div></div>
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<div class="ttc" id="astruct___m_l_x___b_float16_html_aec7fa716fd621ce1843338027bcb0118"><div class="ttname"><a href="struct___m_l_x___b_float16.html#aec7fa716fd621ce1843338027bcb0118">_MLX_BFloat16::_MLX_BFloat16</a></div><div class="ttdeci">constexpr METAL_FUNC _MLX_BFloat16(T x) const ant</div><div class="ttdef"><b>Definition</b> bf16.h:94</div></div>
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<div class="ttc" id="astructmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4_html_a61eb741e7af49046beb863abf023b206"><div class="ttname"><a href="structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#a61eb741e7af49046beb863abf023b206">metal::_numeric_limits_impl< bfloat16_t >::infinity</a></div><div class="ttdeci">static constexpr bfloat16_t infinity()</div><div class="ttdef"><b>Definition</b> bf16.h:293</div></div>
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<div class="ttc" id="astructmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4_html_a6a9dbcba4dd79cad50876dda506b9eed"><div class="ttname"><a href="structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#a6a9dbcba4dd79cad50876dda506b9eed">metal::_numeric_limits_impl< bfloat16_t >::denorm_min</a></div><div class="ttdeci">static constexpr bfloat16_t denorm_min()</div><div class="ttdef"><b>Definition</b> bf16.h:302</div></div>
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<div class="ttc" id="astructmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4_html_a92320d40a58218e40cc414986ac95c50"><div class="ttname"><a href="structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#a92320d40a58218e40cc414986ac95c50">metal::_numeric_limits_impl< bfloat16_t >::max</a></div><div class="ttdeci">static constexpr bfloat16_t max()</div><div class="ttdef"><b>Definition</b> bf16.h:284</div></div>
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<div class="ttc" id="astructmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4_html_a96c4197e3076f0aa9065370b8ece49ca"><div class="ttname"><a href="structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#a96c4197e3076f0aa9065370b8ece49ca">metal::_numeric_limits_impl< bfloat16_t >::epsilon</a></div><div class="ttdeci">static constexpr bfloat16_t epsilon()</div><div class="ttdef"><b>Definition</b> bf16.h:287</div></div>
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<div class="ttc" id="astructmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4_html_ad1f76a43c7d51a3765174aa6e0dd9f80"><div class="ttname"><a href="structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#ad1f76a43c7d51a3765174aa6e0dd9f80">metal::_numeric_limits_impl< bfloat16_t >::signaling_NaN</a></div><div class="ttdeci">static constexpr bfloat16_t signaling_NaN()</div><div class="ttdef"><b>Definition</b> bf16.h:299</div></div>
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<div class="ttc" id="astructmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4_html_adaed80031f5ca0ff69d30ec4c5d0c98f"><div class="ttname"><a href="structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#adaed80031f5ca0ff69d30ec4c5d0c98f">metal::_numeric_limits_impl< bfloat16_t >::min</a></div><div class="ttdeci">static constexpr bfloat16_t min()</div><div class="ttdef"><b>Definition</b> bf16.h:278</div></div>
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<div class="ttc" id="astructmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4_html_ae81c58b8223e504965183c99d19a2116"><div class="ttname"><a href="structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#ae81c58b8223e504965183c99d19a2116">metal::_numeric_limits_impl< bfloat16_t >::lowest</a></div><div class="ttdeci">static constexpr bfloat16_t lowest()</div><div class="ttdef"><b>Definition</b> bf16.h:281</div></div>
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<div class="ttc" id="astructmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4_html_aebeb07c01984be246bc2d1b8f8e4ac7b"><div class="ttname"><a href="structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#aebeb07c01984be246bc2d1b8f8e4ac7b">metal::_numeric_limits_impl< bfloat16_t >::quiet_NaN</a></div><div class="ttdeci">static constexpr bfloat16_t quiet_NaN()</div><div class="ttdef"><b>Definition</b> bf16.h:296</div></div>
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<div class="ttc" id="astructmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4_html_afa223448fa4f04c1113a85345dd720c3"><div class="ttname"><a href="structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#afa223448fa4f04c1113a85345dd720c3">metal::_numeric_limits_impl< bfloat16_t >::round_error</a></div><div class="ttdeci">static constexpr bfloat16_t round_error()</div><div class="ttdef"><b>Definition</b> bf16.h:290</div></div>
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