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<li class="navelem"><a class="el" href="dir_938ab0ecf10b8b860ff766c820f665fd.html">mlx</a></li><li class="navelem"><a class="el" href="dir_47795aa8999234f6f402f7e89d34d08e.html">types</a></li>  </ul>
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  <div class="headertitle"><div class="title">fp16.h</div></div>
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<a href="fp16_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 <algorithm></span></div>
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<div class="line"><a id="l00006" name="l00006"></a><span class="lineno">    6</span><span class="preprocessor">#include <cmath></span></div>
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<div class="line"><a id="l00007" name="l00007"></a><span class="lineno">    7</span><span class="preprocessor">#include <cstdint></span></div>
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<div class="line"><a id="l00008" name="l00008"></a><span class="lineno">    8</span><span class="preprocessor">#include <vector></span></div>
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<div class="line"><a id="l00009" name="l00009"></a><span class="lineno">    9</span> </div>
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<div class="line"><a id="l00010" name="l00010"></a><span class="lineno"><a class="line" href="fp16_8h.html#a10abf57a099efdbb9db0c78e9c120e50">   10</a></span><span class="preprocessor">#define __MLX_HALF_NAN__ 0x7D00</span></div>
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<div class="line"><a id="l00011" name="l00011"></a><span class="lineno">   11</span> </div>
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<div class="line"><a id="l00012" name="l00012"></a><span class="lineno">   12</span><span class="keyword">namespace </span><a class="code hl_namespace" href="namespacemlx_1_1core.html">mlx::core</a> {</div>
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<div class="line"><a id="l00013" name="l00013"></a><span class="lineno">   13</span> </div>
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<div class="line"><a id="l00014" name="l00014"></a><span class="lineno">   14</span><span class="keyword">namespace </span>{</div>
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<div class="line"><a id="l00015" name="l00015"></a><span class="lineno">   15</span><span class="keyword">union </span>float_bits_fp16 {</div>
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<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"><a class="line" href="fp16_8h.html#af900396d7b72ff2a7002e8befe8cf8f1">   16</a></span>  <span class="keywordtype">float</span> <a class="code hl_variable" href="types_2bf16_8h.html#af900396d7b72ff2a7002e8befe8cf8f1">f</a>;</div>
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<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"><a class="line" href="fp16_8h.html#aa21e554721eddcf127b7fcfa7fdc56bd">   17</a></span>  uint32_t <a class="code hl_variable" href="types_2bf16_8h.html#aa21e554721eddcf127b7fcfa7fdc56bd">u</a>;</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="line"><a id="l00019" name="l00019"></a><span class="lineno">   19</span>} <span class="comment">// namespace</span></div>
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<div class="line"><a id="l00020" name="l00020"></a><span class="lineno">   20</span> </div>
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<div class="foldopen" id="foldopen00021" data-start="{" data-end="};">
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<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"><a class="line" href="structmlx_1_1core_1_1___m_l_x___float16.html">   21</a></span><span class="keyword">struct </span><a class="code hl_struct" href="structmlx_1_1core_1_1___m_l_x___float16.html">_MLX_Float16</a> {</div>
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<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"><a class="line" href="structmlx_1_1core_1_1___m_l_x___float16.html#a5203fe52424fd32bce6eb7917dd9288b">   22</a></span>  uint16_t <a class="code hl_variable" href="structmlx_1_1core_1_1___m_l_x___float16.html#a5203fe52424fd32bce6eb7917dd9288b">bits_</a>;</div>
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<div class="line"><a id="l00023" name="l00023"></a><span class="lineno">   23</span> </div>
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<div class="line"><a id="l00024" name="l00024"></a><span class="lineno">   24</span>  <span class="comment">// Default constructor</span></div>
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<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"><a class="line" href="structmlx_1_1core_1_1___m_l_x___float16.html#a69a4ab5b456c4f3b786f43632e9a4fbc">   25</a></span>  <a class="code hl_function" href="structmlx_1_1core_1_1___m_l_x___float16.html#a69a4ab5b456c4f3b786f43632e9a4fbc">_MLX_Float16</a>() = <span class="keywordflow">default</span>;</div>
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<div class="line"><a id="l00026" name="l00026"></a><span class="lineno">   26</span> </div>
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<div class="line"><a id="l00027" name="l00027"></a><span class="lineno">   27</span>  <span class="comment">// Default copy constructor</span></div>
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<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"><a class="line" href="structmlx_1_1core_1_1___m_l_x___float16.html#a0d7ed78b78c6d446f220f83b0cdebb86">   28</a></span>  <a class="code hl_function" href="structmlx_1_1core_1_1___m_l_x___float16.html#a0d7ed78b78c6d446f220f83b0cdebb86">_MLX_Float16</a>(<a class="code hl_struct" href="structmlx_1_1core_1_1___m_l_x___float16.html">_MLX_Float16</a> <span class="keyword">const</span>&) = <span class="keywordflow">default</span>;</div>
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<div class="line"><a id="l00029" name="l00029"></a><span class="lineno">   29</span> </div>
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<div class="line"><a id="l00030" name="l00030"></a><span class="lineno">   30</span>  <span class="comment">// Appease std::vector<bool> for being special</span></div>
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<div class="foldopen" id="foldopen00031" data-start="{" data-end="}">
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<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"><a class="line" href="structmlx_1_1core_1_1___m_l_x___float16.html#a608a099bf7116ee608dcfd31ea3ade2c">   31</a></span>  <a class="code hl_struct" href="structmlx_1_1core_1_1___m_l_x___float16.html">_MLX_Float16</a>& <a class="code hl_function" href="structmlx_1_1core_1_1___m_l_x___float16.html#a608a099bf7116ee608dcfd31ea3ade2c">operator=</a>(std::vector<bool>::reference x) {</div>
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<div class="line"><a id="l00032" name="l00032"></a><span class="lineno">   32</span>    <a class="code hl_variable" href="structmlx_1_1core_1_1___m_l_x___float16.html#a5203fe52424fd32bce6eb7917dd9288b">bits_</a> = x;</div>
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<div class="line"><a id="l00033" name="l00033"></a><span class="lineno">   33</span>    <span class="keywordflow">return</span> *<span class="keyword">this</span>;</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>
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<div class="line"><a id="l00035" name="l00035"></a><span class="lineno">   35</span> </div>
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<div class="foldopen" id="foldopen00036" data-start="{" data-end="}">
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<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"><a class="line" href="structmlx_1_1core_1_1___m_l_x___float16.html#a35543c3653d477c46350697fb808373d">   36</a></span>  <a class="code hl_struct" href="structmlx_1_1core_1_1___m_l_x___float16.html">_MLX_Float16</a>& <a class="code hl_function" href="structmlx_1_1core_1_1___m_l_x___float16.html#a35543c3653d477c46350697fb808373d">operator=</a>(<span class="keyword">const</span> <span class="keywordtype">float</span>& x) {</div>
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<div class="line"><a id="l00037" name="l00037"></a><span class="lineno">   37</span>    <span class="keywordflow">return</span> (*<span class="keyword">this</span> = <a class="code hl_function" href="structmlx_1_1core_1_1___m_l_x___float16.html#a69a4ab5b456c4f3b786f43632e9a4fbc">_MLX_Float16</a>(x));</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="comment">// From float32</span></div>
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<div class="foldopen" id="foldopen00041" data-start="{" data-end="}">
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<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"><a class="line" href="structmlx_1_1core_1_1___m_l_x___float16.html#afde284cbe678e0333ae277ffc8b131c0">   41</a></span>  <a class="code hl_function" href="structmlx_1_1core_1_1___m_l_x___float16.html#afde284cbe678e0333ae277ffc8b131c0">_MLX_Float16</a>(<span class="keyword">const</span> <span class="keywordtype">float</span>& x) : <a class="code hl_variable" href="structmlx_1_1core_1_1___m_l_x___float16.html#a5203fe52424fd32bce6eb7917dd9288b">bits_</a>(0) {</div>
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<div class="line"><a id="l00042" name="l00042"></a><span class="lineno">   42</span>    <span class="comment">// Conversion following</span></div>
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<div class="line"><a id="l00043" name="l00043"></a><span class="lineno">   43</span>    <span class="comment">// https://github.com/Maratyszcza/FP16/blob/master/include/fp16/fp16.h</span></div>
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<div class="line"><a id="l00044" name="l00044"></a><span class="lineno">   44</span> </div>
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<div class="line"><a id="l00045" name="l00045"></a><span class="lineno">   45</span>    <span class="comment">// Union</span></div>
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<div class="line"><a id="l00046" name="l00046"></a><span class="lineno">   46</span>    float_bits_fp16 in;</div>
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<div class="line"><a id="l00047" name="l00047"></a><span class="lineno">   47</span> </div>
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<div class="line"><a id="l00048" name="l00048"></a><span class="lineno">   48</span>    <span class="comment">// Take fp32 bits</span></div>
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<div class="line"><a id="l00049" name="l00049"></a><span class="lineno">   49</span>    in.f = x;</div>
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<div class="line"><a id="l00050" name="l00050"></a><span class="lineno">   50</span> </div>
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<div class="line"><a id="l00051" name="l00051"></a><span class="lineno">   51</span>    <span class="comment">// Find and take sign bit</span></div>
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<div class="line"><a id="l00052" name="l00052"></a><span class="lineno">   52</span>    uint32_t x_sign_32 = in.u & uint32_t(0x80000000);</div>
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<div class="line"><a id="l00053" name="l00053"></a><span class="lineno">   53</span>    uint16_t x_sign_16 = (x_sign_32 >> 16);</div>
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<div class="line"><a id="l00054" name="l00054"></a><span class="lineno">   54</span> </div>
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<div class="line"><a id="l00055" name="l00055"></a><span class="lineno">   55</span>    <span class="keywordflow">if</span> (std::isnan(x)) {</div>
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<div class="line"><a id="l00056" name="l00056"></a><span class="lineno">   56</span>      <a class="code hl_variable" href="structmlx_1_1core_1_1___m_l_x___float16.html#a5203fe52424fd32bce6eb7917dd9288b">bits_</a> = x_sign_16 | uint16_t(<a class="code hl_define" href="fp16_8h.html#a10abf57a099efdbb9db0c78e9c120e50">__MLX_HALF_NAN__</a>);</div>
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<div class="line"><a id="l00057" name="l00057"></a><span class="lineno">   57</span>    } <span class="keywordflow">else</span> {</div>
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<div class="line"><a id="l00058" name="l00058"></a><span class="lineno">   58</span>      <span class="comment">// Union</span></div>
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<div class="line"><a id="l00059" name="l00059"></a><span class="lineno">   59</span>      float_bits_fp16 inf_scale, zero_scale, magic_bits;</div>
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<div class="line"><a id="l00060" name="l00060"></a><span class="lineno">   60</span> </div>
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<div class="line"><a id="l00061" name="l00061"></a><span class="lineno">   61</span>      <span class="comment">// Find exponent bits and take the max supported by half</span></div>
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<div class="line"><a id="l00062" name="l00062"></a><span class="lineno">   62</span>      uint32_t x_expo_32 = in.u & uint32_t(0x7f800000);</div>
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<div class="line"><a id="l00063" name="l00063"></a><span class="lineno">   63</span>      uint32_t max_expo_32 = uint32_t(0x38800000);</div>
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<div class="line"><a id="l00064" name="l00064"></a><span class="lineno">   64</span>      x_expo_32 = x_expo_32 < max_expo_32 ? max_expo_32 : x_expo_32;</div>
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<div class="line"><a id="l00065" name="l00065"></a><span class="lineno">   65</span>      x_expo_32 += uint32_t(15) << 23;</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 class="line"><a id="l00067" name="l00067"></a><span class="lineno">   67</span>      <span class="comment">// Handle scaling to inf as needed</span></div>
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<div class="line"><a id="l00068" name="l00068"></a><span class="lineno">   68</span>      inf_scale.u = uint32_t(0x77800000);</div>
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<div class="line"><a id="l00069" name="l00069"></a><span class="lineno">   69</span>      zero_scale.u = uint32_t(0x08800000);</div>
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<div class="line"><a id="l00070" name="l00070"></a><span class="lineno">   70</span> </div>
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<div class="line"><a id="l00071" name="l00071"></a><span class="lineno">   71</span>      <span class="comment">// Combine with magic and let addition do rounding</span></div>
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<div class="line"><a id="l00072" name="l00072"></a><span class="lineno">   72</span>      magic_bits.u = x_expo_32;</div>
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<div class="line"><a id="l00073" name="l00073"></a><span class="lineno">   73</span>      magic_bits.f += (std::abs(x) * inf_scale.f) * zero_scale.f;</div>
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<div class="line"><a id="l00074" name="l00074"></a><span class="lineno">   74</span> </div>
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<div class="line"><a id="l00075" name="l00075"></a><span class="lineno">   75</span>      <span class="comment">// Take the lower 5 bits of the exponent</span></div>
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<div class="line"><a id="l00076" name="l00076"></a><span class="lineno">   76</span>      uint32_t x_expo_16 = ((magic_bits.u >> 13) & uint32_t(0x7c00));</div>
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<div class="line"><a id="l00077" name="l00077"></a><span class="lineno">   77</span> </div>
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<div class="line"><a id="l00078" name="l00078"></a><span class="lineno">   78</span>      <span class="comment">// Collect the lower 12 bits which have the mantissa</span></div>
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<div class="line"><a id="l00079" name="l00079"></a><span class="lineno">   79</span>      uint32_t x_mant_16 = magic_bits.u & uint32_t(0x0fff);</div>
 | 
						|
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno">   80</span> </div>
 | 
						|
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno">   81</span>      <span class="comment">// Combine sign, exp and mantissa</span></div>
 | 
						|
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno">   82</span>      <a class="code hl_variable" href="structmlx_1_1core_1_1___m_l_x___float16.html#a5203fe52424fd32bce6eb7917dd9288b">bits_</a> = (x_sign_16 | uint16_t(x_expo_16 + x_mant_16));</div>
 | 
						|
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno">   83</span>    }</div>
 | 
						|
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno">   84</span>  }</div>
 | 
						|
</div>
 | 
						|
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno">   85</span> </div>
 | 
						|
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno">   86</span>  <span class="comment">// To float32</span></div>
 | 
						|
<div class="foldopen" id="foldopen00087" data-start="{" data-end="}">
 | 
						|
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"><a class="line" href="structmlx_1_1core_1_1___m_l_x___float16.html#a363de5054f3673bddc90293fc3c9bb99">   87</a></span>  <span class="keyword">operator</span> float()<span class="keyword"> const </span>{</div>
 | 
						|
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno">   88</span>    <span class="comment">// Conversion following</span></div>
 | 
						|
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno">   89</span>    <span class="comment">// https://github.com/Maratyszcza/FP16/blob/master/include/fp16/fp16.h</span></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="comment">// Union</span></div>
 | 
						|
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno">   92</span>    float_bits_fp16 out;</div>
 | 
						|
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno">   93</span> </div>
 | 
						|
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno">   94</span>    uint32_t x_sign_32 = (<a class="code hl_variable" href="structmlx_1_1core_1_1___m_l_x___float16.html#a5203fe52424fd32bce6eb7917dd9288b">bits_</a> << 16) & uint32_t(0x80000000);</div>
 | 
						|
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno">   95</span>    uint32_t base = (<a class="code hl_variable" href="structmlx_1_1core_1_1___m_l_x___float16.html#a5203fe52424fd32bce6eb7917dd9288b">bits_</a> << 16);</div>
 | 
						|
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno">   96</span>    uint32_t two_base = base + base;</div>
 | 
						|
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno">   97</span> </div>
 | 
						|
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno">   98</span>    uint32_t denorm_max = 1u << 27;</div>
 | 
						|
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno">   99</span>    <span class="keywordflow">if</span> (two_base < denorm_max) {</div>
 | 
						|
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno">  100</span>      out.u = uint32_t(126) << 23; <span class="comment">// magic mask</span></div>
 | 
						|
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno">  101</span>      out.u |= (two_base >> 17); <span class="comment">// Bits from fp16</span></div>
 | 
						|
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno">  102</span>      out.f -= 0.5f; <span class="comment">// magic bias</span></div>
 | 
						|
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno">  103</span>    } <span class="keywordflow">else</span> {</div>
 | 
						|
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno">  104</span>      out.u = uint32_t(0xE0) << 23; <span class="comment">// exponent offset</span></div>
 | 
						|
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno">  105</span>      out.u += (two_base >> 4); <span class="comment">// Bits from fp16</span></div>
 | 
						|
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno">  106</span>      <span class="keywordtype">float</span> out_unscaled = out.f; <span class="comment">// Store value</span></div>
 | 
						|
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno">  107</span>      out.u = uint32_t(0x7800000); <span class="comment">// exponent scale</span></div>
 | 
						|
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno">  108</span>      out.f *= out_unscaled;</div>
 | 
						|
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno">  109</span>    }</div>
 | 
						|
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno">  110</span> </div>
 | 
						|
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno">  111</span>    <span class="comment">// Add sign</span></div>
 | 
						|
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno">  112</span>    out.u |= x_sign_32;</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="keywordflow">return</span> out.f;</div>
 | 
						|
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno">  115</span>  }</div>
 | 
						|
</div>
 | 
						|
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno">  116</span>};</div>
 | 
						|
</div>
 | 
						|
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno">  117</span> </div>
 | 
						|
<div class="foldopen" id="foldopen00118" data-start="" data-end="">
 | 
						|
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"><a class="line" href="fp16_8h.html#a8420acf5d2687fbdafcc9052c949f323">  118</a></span><span class="preprocessor">#define half_binop_base(__op__, __operator__, otype, atype, btype, ctype) \</span></div>
 | 
						|
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno">  119</span><span class="preprocessor">  inline otype __operator__(atype lhs, btype rhs) {                       \</span></div>
 | 
						|
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno">  120</span><span class="preprocessor">    return static_cast<ctype>(lhs) __op__ static_cast<ctype>(rhs);        \</span></div>
 | 
						|
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno">  121</span><span class="preprocessor">  }</span></div>
 | 
						|
</div>
 | 
						|
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno">  122</span> </div>
 | 
						|
<div class="foldopen" id="foldopen00123" data-start="" data-end="">
 | 
						|
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"><a class="line" href="fp16_8h.html#aa300338c53d5a9f52fbbde8fd777f13d">  123</a></span><span class="preprocessor">#define half_binop_helper(__op__, __operator__, otype, itype, ctype) \</span></div>
 | 
						|
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno">  124</span><span class="preprocessor">  inline otype __operator__(_MLX_Float16 lhs, itype rhs) {           \</span></div>
 | 
						|
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno">  125</span><span class="preprocessor">    return static_cast<ctype>(lhs) __op__ static_cast<ctype>(rhs);   \</span></div>
 | 
						|
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno">  126</span><span class="preprocessor">  }                                                                  \</span></div>
 | 
						|
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno">  127</span><span class="preprocessor">  inline otype __operator__(itype lhs, _MLX_Float16 rhs) {           \</span></div>
 | 
						|
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno">  128</span><span class="preprocessor">    return static_cast<ctype>(lhs) __op__ static_cast<ctype>(rhs);   \</span></div>
 | 
						|
<div class="line"><a id="l00129" name="l00129"></a><span class="lineno">  129</span><span class="preprocessor">  }</span></div>
 | 
						|
</div>
 | 
						|
<div class="line"><a id="l00130" name="l00130"></a><span class="lineno">  130</span> </div>
 | 
						|
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno">  131</span><span class="comment">// Operators</span></div>
 | 
						|
<div class="foldopen" id="foldopen00132" data-start="" data-end="">
 | 
						|
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"><a class="line" href="fp16_8h.html#af58966694c5d80f9a0241670f3128199">  132</a></span><span class="preprocessor">#define half_binop(__op__, __operator__)                                      \</span></div>
 | 
						|
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno">  133</span><span class="preprocessor">  half_binop_base(                                                            \</span></div>
 | 
						|
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno">  134</span><span class="preprocessor">      __op__, __operator__, _MLX_Float16, _MLX_Float16, _MLX_Float16, float); \</span></div>
 | 
						|
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno">  135</span><span class="preprocessor">  half_binop_helper(__op__, __operator__, float, float, float);               \</span></div>
 | 
						|
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno">  136</span><span class="preprocessor">  half_binop_helper(__op__, __operator__, double, double, double);            \</span></div>
 | 
						|
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno">  137</span><span class="preprocessor">  half_binop_helper(__op__, __operator__, _MLX_Float16, bool, float);         \</span></div>
 | 
						|
<div class="line"><a id="l00138" name="l00138"></a><span class="lineno">  138</span><span class="preprocessor">  half_binop_helper(__op__, __operator__, _MLX_Float16, int32_t, float);      \</span></div>
 | 
						|
<div class="line"><a id="l00139" name="l00139"></a><span class="lineno">  139</span><span class="preprocessor">  half_binop_helper(__op__, __operator__, _MLX_Float16, uint32_t, float);     \</span></div>
 | 
						|
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno">  140</span><span class="preprocessor">  half_binop_helper(__op__, __operator__, _MLX_Float16, int64_t, float);      \</span></div>
 | 
						|
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno">  141</span><span class="preprocessor">  half_binop_helper(__op__, __operator__, _MLX_Float16, uint64_t, float);</span></div>
 | 
						|
</div>
 | 
						|
<div class="line"><a id="l00142" name="l00142"></a><span class="lineno">  142</span> </div>
 | 
						|
<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"><a class="line" href="namespacemlx_1_1core.html#af7577c91b8c43682f0ebc9eb9758aae4">  143</a></span><a class="code hl_define" href="fp16_8h.html#af58966694c5d80f9a0241670f3128199">half_binop</a>(+, <span class="keyword">operator</span>+);</div>
 | 
						|
<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"><a class="line" href="namespacemlx_1_1core.html#afb5069ecebdfd9d388c26f83df12c93c">  144</a></span><a class="code hl_define" href="fp16_8h.html#af58966694c5d80f9a0241670f3128199">half_binop</a>(-, <span class="keyword">operator</span>-);</div>
 | 
						|
<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"><a class="line" href="namespacemlx_1_1core.html#a3a52675c3d4552b319dd9707844abdec">  145</a></span><a class="code hl_define" href="fp16_8h.html#af58966694c5d80f9a0241670f3128199">half_binop</a>(*, <span class="keyword">operator</span>*);</div>
 | 
						|
<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"><a class="line" href="namespacemlx_1_1core.html#a32a6a08a2a4652975b0a1bd1fcf3eafd">  146</a></span><a class="code hl_define" href="fp16_8h.html#af58966694c5d80f9a0241670f3128199">half_binop</a>(/, <span class="keyword">operator</span>/);</div>
 | 
						|
<div class="line"><a id="l00147" name="l00147"></a><span class="lineno">  147</span> </div>
 | 
						|
<div class="line"><a id="l00148" name="l00148"></a><span class="lineno">  148</span><span class="preprocessor">#undef half_binop</span></div>
 | 
						|
<div class="line"><a id="l00149" name="l00149"></a><span class="lineno">  149</span> </div>
 | 
						|
<div class="line"><a id="l00150" name="l00150"></a><span class="lineno">  150</span><span class="comment">// Comparison ops</span></div>
 | 
						|
<div class="foldopen" id="foldopen00151" data-start="" data-end="">
 | 
						|
<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"><a class="line" href="fp16_8h.html#acec0b85a9974cbde7b270a121f382405">  151</a></span><span class="preprocessor">#define half_compop(__op__, __operator__)                             \</span></div>
 | 
						|
<div class="line"><a id="l00152" name="l00152"></a><span class="lineno">  152</span><span class="preprocessor">  half_binop_base(                                                    \</span></div>
 | 
						|
<div class="line"><a id="l00153" name="l00153"></a><span class="lineno">  153</span><span class="preprocessor">      __op__, __operator__, bool, _MLX_Float16, _MLX_Float16, float); \</span></div>
 | 
						|
<div class="line"><a id="l00154" name="l00154"></a><span class="lineno">  154</span><span class="preprocessor">  half_binop_helper(__op__, __operator__, bool, float, float);        \</span></div>
 | 
						|
<div class="line"><a id="l00155" name="l00155"></a><span class="lineno">  155</span><span class="preprocessor">  half_binop_helper(__op__, __operator__, bool, double, double);      \</span></div>
 | 
						|
<div class="line"><a id="l00156" name="l00156"></a><span class="lineno">  156</span><span class="preprocessor">  half_binop_helper(__op__, __operator__, bool, int32_t, float);      \</span></div>
 | 
						|
<div class="line"><a id="l00157" name="l00157"></a><span class="lineno">  157</span><span class="preprocessor">  half_binop_helper(__op__, __operator__, bool, uint32_t, float);     \</span></div>
 | 
						|
<div class="line"><a id="l00158" name="l00158"></a><span class="lineno">  158</span><span class="preprocessor">  half_binop_helper(__op__, __operator__, bool, int64_t, float);      \</span></div>
 | 
						|
<div class="line"><a id="l00159" name="l00159"></a><span class="lineno">  159</span><span class="preprocessor">  half_binop_helper(__op__, __operator__, bool, uint64_t, float);</span></div>
 | 
						|
</div>
 | 
						|
<div class="line"><a id="l00160" name="l00160"></a><span class="lineno">  160</span> </div>
 | 
						|
<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"><a class="line" href="namespacemlx_1_1core.html#a58d5795d8312599d101ae16f194e4a2a">  161</a></span><a class="code hl_define" href="fp16_8h.html#acec0b85a9974cbde7b270a121f382405">half_compop</a>(>, <span class="keyword">operator</span>>);</div>
 | 
						|
<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"><a class="line" href="namespacemlx_1_1core.html#afd4519985b6b207ec41ad8530d1036df">  162</a></span><a class="code hl_define" href="fp16_8h.html#acec0b85a9974cbde7b270a121f382405">half_compop</a>(<, <span class="keyword">operator</span><);</div>
 | 
						|
<div class="line"><a id="l00163" name="l00163"></a><span class="lineno"><a class="line" href="namespacemlx_1_1core.html#a6feb4b3ea511b0eda4d1ec9725f3fb4c">  163</a></span><a class="code hl_define" href="fp16_8h.html#acec0b85a9974cbde7b270a121f382405">half_compop</a>(>=, <span class="keyword">operator</span>>=);</div>
 | 
						|
<div class="line"><a id="l00164" name="l00164"></a><span class="lineno"><a class="line" href="namespacemlx_1_1core.html#a012130a0458cbc30b88365e0e0eab232">  164</a></span><a class="code hl_define" href="fp16_8h.html#acec0b85a9974cbde7b270a121f382405">half_compop</a>(<=, <span class="keyword">operator</span><=);</div>
 | 
						|
<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"><a class="line" href="namespacemlx_1_1core.html#ae3e1e8b7a5410e0edf35f31f74295e2f">  165</a></span><a class="code hl_define" href="fp16_8h.html#acec0b85a9974cbde7b270a121f382405">half_compop</a>(==, <span class="keyword">operator</span>==);</div>
 | 
						|
<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"><a class="line" href="namespacemlx_1_1core.html#abcca7fd43590c4347e0f5df8f134030c">  166</a></span><a class="code hl_define" href="fp16_8h.html#acec0b85a9974cbde7b270a121f382405">half_compop</a>(!=, <span class="keyword">operator</span>!=);</div>
 | 
						|
<div class="line"><a id="l00167" name="l00167"></a><span class="lineno">  167</span> </div>
 | 
						|
<div class="line"><a id="l00168" name="l00168"></a><span class="lineno">  168</span><span class="preprocessor">#undef half_compop</span></div>
 | 
						|
<div class="line"><a id="l00169" name="l00169"></a><span class="lineno">  169</span> </div>
 | 
						|
<div class="line"><a id="l00170" name="l00170"></a><span class="lineno">  170</span><span class="comment">// Negative</span></div>
 | 
						|
<div class="foldopen" id="foldopen00171" data-start="{" data-end="}">
 | 
						|
<div class="line"><a id="l00171" name="l00171"></a><span class="lineno"><a class="line" href="namespacemlx_1_1core.html#a46d502dfe0b027955950d4e716c2eb26">  171</a></span><span class="keyword">inline</span> <a class="code hl_struct" href="structmlx_1_1core_1_1___m_l_x___float16.html">_MLX_Float16</a> <a class="code hl_function" href="group__ops.html#gade2eea48989f4caaf36e89f7bd2a8816">operator-</a>(<a class="code hl_struct" href="structmlx_1_1core_1_1___m_l_x___float16.html">_MLX_Float16</a> lhs) {</div>
 | 
						|
<div class="line"><a id="l00172" name="l00172"></a><span class="lineno">  172</span>  <span class="keywordflow">return</span> -<span class="keyword">static_cast<</span><span class="keywordtype">float</span><span class="keyword">></span>(lhs);</div>
 | 
						|
<div class="line"><a id="l00173" name="l00173"></a><span class="lineno">  173</span>}</div>
 | 
						|
</div>
 | 
						|
<div class="line"><a id="l00174" name="l00174"></a><span class="lineno">  174</span> </div>
 | 
						|
<div class="line"><a id="l00175" name="l00175"></a><span class="lineno">  175</span><span class="comment">// Inplace ops</span></div>
 | 
						|
<div class="foldopen" id="foldopen00176" data-start="" data-end="">
 | 
						|
<div class="line"><a id="l00176" name="l00176"></a><span class="lineno"><a class="line" href="fp16_8h.html#a6348c00d31a50b2df1b47d18af49c4b8">  176</a></span><span class="preprocessor">#define half_inplace_op(__op__, __operator__)                              \</span></div>
 | 
						|
<div class="line"><a id="l00177" name="l00177"></a><span class="lineno">  177</span><span class="preprocessor">  inline _MLX_Float16& __operator__(_MLX_Float16& lhs, const float& rhs) { \</span></div>
 | 
						|
<div class="line"><a id="l00178" name="l00178"></a><span class="lineno">  178</span><span class="preprocessor">    lhs = lhs __op__ rhs;                                                  \</span></div>
 | 
						|
<div class="line"><a id="l00179" name="l00179"></a><span class="lineno">  179</span><span class="preprocessor">    return lhs;                                                            \</span></div>
 | 
						|
<div class="line"><a id="l00180" name="l00180"></a><span class="lineno">  180</span><span class="preprocessor">  }                                                                        \</span></div>
 | 
						|
<div class="line"><a id="l00181" name="l00181"></a><span class="lineno">  181</span><span class="preprocessor">  inline float& __operator__(float& lhs, _MLX_Float16 rhs) {               \</span></div>
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						|
<div class="line"><a id="l00182" name="l00182"></a><span class="lineno">  182</span><span class="preprocessor">    lhs = lhs __op__ rhs;                                                  \</span></div>
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						|
<div class="line"><a id="l00183" name="l00183"></a><span class="lineno">  183</span><span class="preprocessor">    return lhs;                                                            \</span></div>
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						|
<div class="line"><a id="l00184" name="l00184"></a><span class="lineno">  184</span><span class="preprocessor">  }</span></div>
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						|
</div>
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<div class="line"><a id="l00185" name="l00185"></a><span class="lineno">  185</span> </div>
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						|
<div class="line"><a id="l00186" name="l00186"></a><span class="lineno"><a class="line" href="namespacemlx_1_1core.html#a7b763db8194e6fcb1b87eab143dfa47a">  186</a></span><a class="code hl_define" href="fp16_8h.html#a6348c00d31a50b2df1b47d18af49c4b8">half_inplace_op</a>(+, <span class="keyword">operator</span>+=);</div>
 | 
						|
<div class="line"><a id="l00187" name="l00187"></a><span class="lineno"><a class="line" href="namespacemlx_1_1core.html#adaf70bbfb3667df0d08fd3c99896e20a">  187</a></span><a class="code hl_define" href="fp16_8h.html#a6348c00d31a50b2df1b47d18af49c4b8">half_inplace_op</a>(-, <span class="keyword">operator</span>-=);</div>
 | 
						|
<div class="line"><a id="l00188" name="l00188"></a><span class="lineno"><a class="line" href="namespacemlx_1_1core.html#a600e77dbc72e78207b5f5dbf4b298781">  188</a></span><a class="code hl_define" href="fp16_8h.html#a6348c00d31a50b2df1b47d18af49c4b8">half_inplace_op</a>(*, <span class="keyword">operator</span>*=);</div>
 | 
						|
<div class="line"><a id="l00189" name="l00189"></a><span class="lineno"><a class="line" href="namespacemlx_1_1core.html#ae736defc89a04fbaf7627ad2695bb838">  189</a></span><a class="code hl_define" href="fp16_8h.html#a6348c00d31a50b2df1b47d18af49c4b8">half_inplace_op</a>(/, <span class="keyword">operator</span>/=);</div>
 | 
						|
<div class="line"><a id="l00190" name="l00190"></a><span class="lineno">  190</span> </div>
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<div class="line"><a id="l00191" name="l00191"></a><span class="lineno">  191</span><span class="preprocessor">#undef half_inplace_op</span></div>
 | 
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<div class="line"><a id="l00192" name="l00192"></a><span class="lineno">  192</span> </div>
 | 
						|
<div class="line"><a id="l00193" name="l00193"></a><span class="lineno">  193</span><span class="comment">// Bitwise ops</span></div>
 | 
						|
<div class="line"><a id="l00194" name="l00194"></a><span class="lineno">  194</span> </div>
 | 
						|
<div class="foldopen" id="foldopen00195" data-start="" data-end="">
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						|
<div class="line"><a id="l00195" name="l00195"></a><span class="lineno"><a class="line" href="fp16_8h.html#a2242eaa64839925fd8f586dde7a59800">  195</a></span><span class="preprocessor">#define half_bitop(__op__, __operator__)                                 \</span></div>
 | 
						|
<div class="line"><a id="l00196" name="l00196"></a><span class="lineno">  196</span><span class="preprocessor">  inline _MLX_Float16 __operator__(_MLX_Float16 lhs, _MLX_Float16 rhs) { \</span></div>
 | 
						|
<div class="line"><a id="l00197" name="l00197"></a><span class="lineno">  197</span><span class="preprocessor">    _MLX_Float16 out;                                                    \</span></div>
 | 
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<div class="line"><a id="l00198" name="l00198"></a><span class="lineno">  198</span><span class="preprocessor">    out.bits_ = lhs.bits_ __op__ rhs.bits_;                              \</span></div>
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<div class="line"><a id="l00199" name="l00199"></a><span class="lineno">  199</span><span class="preprocessor">    return out;                                                          \</span></div>
 | 
						|
<div class="line"><a id="l00200" name="l00200"></a><span class="lineno">  200</span><span class="preprocessor">  }                                                                      \</span></div>
 | 
						|
<div class="line"><a id="l00201" name="l00201"></a><span class="lineno">  201</span><span class="preprocessor">  inline _MLX_Float16 __operator__(_MLX_Float16 lhs, uint16_t rhs) {     \</span></div>
 | 
						|
<div class="line"><a id="l00202" name="l00202"></a><span class="lineno">  202</span><span class="preprocessor">    _MLX_Float16 out;                                                    \</span></div>
 | 
						|
<div class="line"><a id="l00203" name="l00203"></a><span class="lineno">  203</span><span class="preprocessor">    out.bits_ = lhs.bits_ __op__ rhs;                                    \</span></div>
 | 
						|
<div class="line"><a id="l00204" name="l00204"></a><span class="lineno">  204</span><span class="preprocessor">    return out;                                                          \</span></div>
 | 
						|
<div class="line"><a id="l00205" name="l00205"></a><span class="lineno">  205</span><span class="preprocessor">  }                                                                      \</span></div>
 | 
						|
<div class="line"><a id="l00206" name="l00206"></a><span class="lineno">  206</span><span class="preprocessor">  inline _MLX_Float16 __operator__(uint16_t lhs, _MLX_Float16 rhs) {     \</span></div>
 | 
						|
<div class="line"><a id="l00207" name="l00207"></a><span class="lineno">  207</span><span class="preprocessor">    _MLX_Float16 out;                                                    \</span></div>
 | 
						|
<div class="line"><a id="l00208" name="l00208"></a><span class="lineno">  208</span><span class="preprocessor">    out.bits_ = lhs __op__ rhs.bits_;                                    \</span></div>
 | 
						|
<div class="line"><a id="l00209" name="l00209"></a><span class="lineno">  209</span><span class="preprocessor">    return out;                                                          \</span></div>
 | 
						|
<div class="line"><a id="l00210" name="l00210"></a><span class="lineno">  210</span><span class="preprocessor">  }</span></div>
 | 
						|
</div>
 | 
						|
<div class="line"><a id="l00211" name="l00211"></a><span class="lineno">  211</span> </div>
 | 
						|
<div class="line"><a id="l00212" name="l00212"></a><span class="lineno"><a class="line" href="namespacemlx_1_1core.html#a2d933573edf4ed305fddd8a0caef1ee8">  212</a></span><a class="code hl_define" href="fp16_8h.html#a2242eaa64839925fd8f586dde7a59800">half_bitop</a>(|, <span class="keyword">operator</span>|);</div>
 | 
						|
<div class="line"><a id="l00213" name="l00213"></a><span class="lineno"><a class="line" href="namespacemlx_1_1core.html#ab9d0f9910070231695d61de08cadb930">  213</a></span><a class="code hl_define" href="fp16_8h.html#a2242eaa64839925fd8f586dde7a59800">half_bitop</a>(&, <span class="keyword">operator</span>&);</div>
 | 
						|
<div class="line"><a id="l00214" name="l00214"></a><span class="lineno"><a class="line" href="namespacemlx_1_1core.html#a0b75198f364d742a1c25dd13e398f2c2">  214</a></span><a class="code hl_define" href="fp16_8h.html#a2242eaa64839925fd8f586dde7a59800">half_bitop</a>(^, <span class="keyword">operator</span>^);</div>
 | 
						|
<div class="line"><a id="l00215" name="l00215"></a><span class="lineno">  215</span> </div>
 | 
						|
<div class="line"><a id="l00216" name="l00216"></a><span class="lineno">  216</span><span class="preprocessor">#undef half_bitop</span></div>
 | 
						|
<div class="line"><a id="l00217" name="l00217"></a><span class="lineno">  217</span> </div>
 | 
						|
<div class="foldopen" id="foldopen00218" data-start="" data-end="">
 | 
						|
<div class="line"><a id="l00218" name="l00218"></a><span class="lineno"><a class="line" href="fp16_8h.html#a378e011e994bf62a961c3c1cd6f7c290">  218</a></span><span class="preprocessor">#define half_inplace_bitop(__op__, __operator__)                           \</span></div>
 | 
						|
<div class="line"><a id="l00219" name="l00219"></a><span class="lineno">  219</span><span class="preprocessor">  inline _MLX_Float16& __operator__(_MLX_Float16& lhs, _MLX_Float16 rhs) { \</span></div>
 | 
						|
<div class="line"><a id="l00220" name="l00220"></a><span class="lineno">  220</span><span class="preprocessor">    lhs.bits_ = lhs.bits_ __op__ rhs.bits_;                                \</span></div>
 | 
						|
<div class="line"><a id="l00221" name="l00221"></a><span class="lineno">  221</span><span class="preprocessor">    return lhs;                                                            \</span></div>
 | 
						|
<div class="line"><a id="l00222" name="l00222"></a><span class="lineno">  222</span><span class="preprocessor">  }                                                                        \</span></div>
 | 
						|
<div class="line"><a id="l00223" name="l00223"></a><span class="lineno">  223</span><span class="preprocessor">  inline _MLX_Float16& __operator__(_MLX_Float16& lhs, uint16_t rhs) {     \</span></div>
 | 
						|
<div class="line"><a id="l00224" name="l00224"></a><span class="lineno">  224</span><span class="preprocessor">    lhs.bits_ = lhs.bits_ __op__ rhs;                                      \</span></div>
 | 
						|
<div class="line"><a id="l00225" name="l00225"></a><span class="lineno">  225</span><span class="preprocessor">    return lhs;                                                            \</span></div>
 | 
						|
<div class="line"><a id="l00226" name="l00226"></a><span class="lineno">  226</span><span class="preprocessor">  }</span></div>
 | 
						|
</div>
 | 
						|
<div class="line"><a id="l00227" name="l00227"></a><span class="lineno">  227</span> </div>
 | 
						|
<div class="line"><a id="l00228" name="l00228"></a><span class="lineno"><a class="line" href="namespacemlx_1_1core.html#a2d8470b69cbbeefece08d3ffd46c0082">  228</a></span><a class="code hl_define" href="fp16_8h.html#a378e011e994bf62a961c3c1cd6f7c290">half_inplace_bitop</a>(|, <span class="keyword">operator</span>|=);</div>
 | 
						|
<div class="line"><a id="l00229" name="l00229"></a><span class="lineno"><a class="line" href="namespacemlx_1_1core.html#ad1f96f0a02024f347b4c4431629407fc">  229</a></span><a class="code hl_define" href="fp16_8h.html#a378e011e994bf62a961c3c1cd6f7c290">half_inplace_bitop</a>(&, <span class="keyword">operator</span>&=);</div>
 | 
						|
<div class="line"><a id="l00230" name="l00230"></a><span class="lineno"><a class="line" href="namespacemlx_1_1core.html#ae78083d766b9cf6f87cded341bbcd63e">  230</a></span><a class="code hl_define" href="fp16_8h.html#a378e011e994bf62a961c3c1cd6f7c290">half_inplace_bitop</a>(^, <span class="keyword">operator</span>^=);</div>
 | 
						|
<div class="line"><a id="l00231" name="l00231"></a><span class="lineno">  231</span> </div>
 | 
						|
<div class="line"><a id="l00232" name="l00232"></a><span class="lineno">  232</span><span class="preprocessor">#undef half_inplace_bitop</span></div>
 | 
						|
<div class="line"><a id="l00233" name="l00233"></a><span class="lineno">  233</span> </div>
 | 
						|
<div class="line"><a id="l00234" name="l00234"></a><span class="lineno">  234</span>} <span class="comment">// namespace mlx::core</span></div>
 | 
						|
<div class="ttc" id="afp16_8h_html_a10abf57a099efdbb9db0c78e9c120e50"><div class="ttname"><a href="fp16_8h.html#a10abf57a099efdbb9db0c78e9c120e50">__MLX_HALF_NAN__</a></div><div class="ttdeci">#define __MLX_HALF_NAN__</div><div class="ttdef"><b>Definition</b> fp16.h:10</div></div>
 | 
						|
<div class="ttc" id="afp16_8h_html_a2242eaa64839925fd8f586dde7a59800"><div class="ttname"><a href="fp16_8h.html#a2242eaa64839925fd8f586dde7a59800">half_bitop</a></div><div class="ttdeci">#define half_bitop(__op__, __operator__)</div><div class="ttdef"><b>Definition</b> fp16.h:195</div></div>
 | 
						|
<div class="ttc" id="afp16_8h_html_a378e011e994bf62a961c3c1cd6f7c290"><div class="ttname"><a href="fp16_8h.html#a378e011e994bf62a961c3c1cd6f7c290">half_inplace_bitop</a></div><div class="ttdeci">#define half_inplace_bitop(__op__, __operator__)</div><div class="ttdef"><b>Definition</b> fp16.h:218</div></div>
 | 
						|
<div class="ttc" id="afp16_8h_html_a6348c00d31a50b2df1b47d18af49c4b8"><div class="ttname"><a href="fp16_8h.html#a6348c00d31a50b2df1b47d18af49c4b8">half_inplace_op</a></div><div class="ttdeci">#define half_inplace_op(__op__, __operator__)</div><div class="ttdef"><b>Definition</b> fp16.h:176</div></div>
 | 
						|
<div class="ttc" id="afp16_8h_html_acec0b85a9974cbde7b270a121f382405"><div class="ttname"><a href="fp16_8h.html#acec0b85a9974cbde7b270a121f382405">half_compop</a></div><div class="ttdeci">#define half_compop(__op__, __operator__)</div><div class="ttdef"><b>Definition</b> fp16.h:151</div></div>
 | 
						|
<div class="ttc" id="afp16_8h_html_af58966694c5d80f9a0241670f3128199"><div class="ttname"><a href="fp16_8h.html#af58966694c5d80f9a0241670f3128199">half_binop</a></div><div class="ttdeci">#define half_binop(__op__, __operator__)</div><div class="ttdef"><b>Definition</b> fp16.h:132</div></div>
 | 
						|
<div class="ttc" id="agroup__ops_html_gade2eea48989f4caaf36e89f7bd2a8816"><div class="ttname"><a href="group__ops.html#gade2eea48989f4caaf36e89f7bd2a8816">mlx::core::operator-</a></div><div class="ttdeci">array operator-(const array &a)</div></div>
 | 
						|
<div class="ttc" id="anamespacemlx_1_1core_html"><div class="ttname"><a href="namespacemlx_1_1core.html">mlx::core</a></div><div class="ttdef"><b>Definition</b> allocator.h:7</div></div>
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						|
<div class="ttc" id="astructmlx_1_1core_1_1___m_l_x___float16_html"><div class="ttname"><a href="structmlx_1_1core_1_1___m_l_x___float16.html">mlx::core::_MLX_Float16</a></div><div class="ttdef"><b>Definition</b> fp16.h:21</div></div>
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						|
<div class="ttc" id="astructmlx_1_1core_1_1___m_l_x___float16_html_a0d7ed78b78c6d446f220f83b0cdebb86"><div class="ttname"><a href="structmlx_1_1core_1_1___m_l_x___float16.html#a0d7ed78b78c6d446f220f83b0cdebb86">mlx::core::_MLX_Float16::_MLX_Float16</a></div><div class="ttdeci">_MLX_Float16(_MLX_Float16 const &)=default</div></div>
 | 
						|
<div class="ttc" id="astructmlx_1_1core_1_1___m_l_x___float16_html_a35543c3653d477c46350697fb808373d"><div class="ttname"><a href="structmlx_1_1core_1_1___m_l_x___float16.html#a35543c3653d477c46350697fb808373d">mlx::core::_MLX_Float16::operator=</a></div><div class="ttdeci">_MLX_Float16 & operator=(const float &x)</div><div class="ttdef"><b>Definition</b> fp16.h:36</div></div>
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						|
<div class="ttc" id="astructmlx_1_1core_1_1___m_l_x___float16_html_a5203fe52424fd32bce6eb7917dd9288b"><div class="ttname"><a href="structmlx_1_1core_1_1___m_l_x___float16.html#a5203fe52424fd32bce6eb7917dd9288b">mlx::core::_MLX_Float16::bits_</a></div><div class="ttdeci">uint16_t bits_</div><div class="ttdef"><b>Definition</b> fp16.h:22</div></div>
 | 
						|
<div class="ttc" id="astructmlx_1_1core_1_1___m_l_x___float16_html_a608a099bf7116ee608dcfd31ea3ade2c"><div class="ttname"><a href="structmlx_1_1core_1_1___m_l_x___float16.html#a608a099bf7116ee608dcfd31ea3ade2c">mlx::core::_MLX_Float16::operator=</a></div><div class="ttdeci">_MLX_Float16 & operator=(std::vector< bool >::reference x)</div><div class="ttdef"><b>Definition</b> fp16.h:31</div></div>
 | 
						|
<div class="ttc" id="astructmlx_1_1core_1_1___m_l_x___float16_html_a69a4ab5b456c4f3b786f43632e9a4fbc"><div class="ttname"><a href="structmlx_1_1core_1_1___m_l_x___float16.html#a69a4ab5b456c4f3b786f43632e9a4fbc">mlx::core::_MLX_Float16::_MLX_Float16</a></div><div class="ttdeci">_MLX_Float16()=default</div></div>
 | 
						|
<div class="ttc" id="astructmlx_1_1core_1_1___m_l_x___float16_html_afde284cbe678e0333ae277ffc8b131c0"><div class="ttname"><a href="structmlx_1_1core_1_1___m_l_x___float16.html#afde284cbe678e0333ae277ffc8b131c0">mlx::core::_MLX_Float16::_MLX_Float16</a></div><div class="ttdeci">_MLX_Float16(const float &x)</div><div class="ttdef"><b>Definition</b> fp16.h:41</div></div>
 | 
						|
<div class="ttc" id="atypes_2bf16_8h_html_aa21e554721eddcf127b7fcfa7fdc56bd"><div class="ttname"><a href="types_2bf16_8h.html#aa21e554721eddcf127b7fcfa7fdc56bd">u</a></div><div class="ttdeci">uint32_t u</div><div class="ttdef"><b>Definition</b> bf16.h:17</div></div>
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<div class="ttc" id="atypes_2bf16_8h_html_af900396d7b72ff2a7002e8befe8cf8f1"><div class="ttname"><a href="types_2bf16_8h.html#af900396d7b72ff2a7002e8befe8cf8f1">f</a></div><div class="ttdeci">float f</div><div class="ttdef"><b>Definition</b> bf16.h:16</div></div>
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