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<a href="limits_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 © 2024 Apple Inc.</span></div>
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<div class="line"><a id="l00002" name="l00002"></a><span class="lineno"> 2</span><span class="preprocessor">#pragma once</span></div>
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<div class="line"><a id="l00003" name="l00003"></a><span class="lineno"> 3</span> </div>
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<div class="line"><a id="l00004" name="l00004"></a><span class="lineno"> 4</span><span class="preprocessor">#include <limits></span></div>
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<div class="line"><a id="l00005" name="l00005"></a><span class="lineno"> 5</span><span class="preprocessor">#include "<a class="code" href="half__types_8h.html">mlx/types/half_types.h</a>"</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">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="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="keyword">template</span> <<span class="keyword">typename</span> T></div>
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<div class="line"><a id="l00010" name="l00010"></a><span class="lineno"><a class="line" href="structmlx_1_1core_1_1numeric__limits.html"> 10</a></span><span class="keyword">struct </span><a class="code hl_struct" href="structmlx_1_1core_1_1numeric__limits.html">numeric_limits</a>;</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">template</span> <></div>
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<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"><a class="line" href="structmlx_1_1core_1_1numeric__limits.html"> 13</a></span><span class="keyword">struct </span><a class="code hl_struct" href="structmlx_1_1core_1_1numeric__limits.html">numeric_limits</a><float> : <span class="keyword">public</span> std::numeric_limits<float> {};</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="l00015" name="l00015"></a><span class="lineno"> 15</span><span class="keyword">template</span> <></div>
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<div class="foldopen" id="foldopen00016" data-start="{" data-end="};">
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<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"><a class="line" href="structmlx_1_1core_1_1numeric__limits.html"> 16</a></span><span class="keyword">struct </span><a class="code hl_struct" href="structmlx_1_1core_1_1numeric__limits.html">numeric_limits</a><<a class="code hl_typedef" href="namespacemlx_1_1core.html#afbd2769c30e721afc85a7b9fb55b8e52">float16_t</a>> {</div>
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<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span> <span class="keyword">private</span>:</div>
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<div class="foldopen" id="foldopen00018" data-start="{" data-end="};">
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<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"><a class="line" href="structmlx_1_1core_1_1numeric__limits.html"> 18</a></span> <span class="keyword">union </span><a class="code hl_union" href="structmlx_1_1core_1_1numeric__limits.html">half_or_bits</a> {</div>
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<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"><a class="line" href="structmlx_1_1core_1_1numeric__limits.html#acbe0ed82732abe05d3f90b21d633b250"> 19</a></span> uint16_t <a class="code hl_variable" href="structmlx_1_1core_1_1numeric__limits.html#acbe0ed82732abe05d3f90b21d633b250">bits</a>;</div>
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<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"><a class="line" href="structmlx_1_1core_1_1numeric__limits.html#a34fd0b3402ee2636c396113ef15ef66b"> 20</a></span> <a class="code hl_typedef" href="namespacemlx_1_1core.html#afbd2769c30e721afc85a7b9fb55b8e52">float16_t</a> <a class="code hl_variable" href="structmlx_1_1core_1_1numeric__limits.html#a34fd0b3402ee2636c396113ef15ef66b">value</a>;</div>
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<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span> };</div>
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</div>
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<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span> <span class="keyword">constexpr</span> <span class="keyword">static</span> <a class="code hl_typedef" href="namespacemlx_1_1core.html#afbd2769c30e721afc85a7b9fb55b8e52">float16_t</a> bits_to_half(uint16_t v) {</div>
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<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span> <span class="keywordflow">return</span> <a class="code hl_union" href="structmlx_1_1core_1_1numeric__limits.html">half_or_bits</a>{v}.<a class="code hl_variable" href="structmlx_1_1core_1_1numeric__limits.html#a34fd0b3402ee2636c396113ef15ef66b">value</a>;</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> </div>
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<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span> <span class="keyword">public</span>:</div>
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<div class="foldopen" id="foldopen00027" data-start="{" data-end="}">
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<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"><a class="line" href="structmlx_1_1core_1_1numeric__limits.html#abc2d9cd8d0a90219f7eb6fd05b98e4ac"> 27</a></span> <span class="keyword">constexpr</span> <span class="keyword">static</span> <a class="code hl_typedef" href="namespacemlx_1_1core.html#afbd2769c30e721afc85a7b9fb55b8e52">float16_t</a> <a class="code hl_function" href="structmlx_1_1core_1_1numeric__limits.html#abc2d9cd8d0a90219f7eb6fd05b98e4ac">lowest</a>() {</div>
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<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span> <span class="keywordflow">return</span> bits_to_half(0xFBFF);</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>
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<div class="foldopen" id="foldopen00030" data-start="{" data-end="}">
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<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"><a class="line" href="structmlx_1_1core_1_1numeric__limits.html#a6dd1fadd4cc7c2cec6223977c238c334"> 30</a></span> <span class="keyword">static</span> <span class="keyword">constexpr</span> <a class="code hl_typedef" href="namespacemlx_1_1core.html#afbd2769c30e721afc85a7b9fb55b8e52">float16_t</a> <a class="code hl_function" href="structmlx_1_1core_1_1numeric__limits.html#a6dd1fadd4cc7c2cec6223977c238c334">max</a>() {</div>
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<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span> <span class="keywordflow">return</span> bits_to_half(0x7BFF);</div>
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<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> }</div>
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</div>
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<div class="foldopen" id="foldopen00033" data-start="{" data-end="}">
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<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"><a class="line" href="structmlx_1_1core_1_1numeric__limits.html#a2a8f3f489b47b7e8398bec9895ae0c27"> 33</a></span> <span class="keyword">static</span> <span class="keyword">constexpr</span> <a class="code hl_typedef" href="namespacemlx_1_1core.html#afbd2769c30e721afc85a7b9fb55b8e52">float16_t</a> <a class="code hl_function" href="structmlx_1_1core_1_1numeric__limits.html#a2a8f3f489b47b7e8398bec9895ae0c27">infinity</a>() {</div>
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<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span> <span class="keywordflow">return</span> bits_to_half(0x7C00);</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>
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<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span>};</div>
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</div>
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<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> </div>
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<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span><span class="keyword">template</span> <></div>
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<div class="foldopen" id="foldopen00039" data-start="{" data-end="};">
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<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"><a class="line" href="structmlx_1_1core_1_1numeric__limits.html"> 39</a></span><span class="keyword">struct </span><a class="code hl_struct" href="structmlx_1_1core_1_1numeric__limits.html">numeric_limits</a><<a class="code hl_typedef" href="namespacemlx_1_1core.html#acb5d16c9b83778c7621c38e522e0060b">bfloat16_t</a>> {</div>
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<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> <span class="keyword">private</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_1numeric__limits.html"> 41</a></span> <span class="keyword">union </span><a class="code hl_union" href="structmlx_1_1core_1_1numeric__limits.html">bfloat_or_bits</a> {</div>
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<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"><a class="line" href="structmlx_1_1core_1_1numeric__limits.html#ac1750c0d3daefb90b85088908e7fdb31"> 42</a></span> uint16_t <a class="code hl_variable" href="structmlx_1_1core_1_1numeric__limits.html#ac1750c0d3daefb90b85088908e7fdb31">bits</a>;</div>
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<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"><a class="line" href="structmlx_1_1core_1_1numeric__limits.html#a8e5bdc5369b95d63fa15250f6997c652"> 43</a></span> <a class="code hl_typedef" href="namespacemlx_1_1core.html#acb5d16c9b83778c7621c38e522e0060b">bfloat16_t</a> <a class="code hl_variable" href="structmlx_1_1core_1_1numeric__limits.html#a8e5bdc5369b95d63fa15250f6997c652">value</a>;</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>
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<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> <span class="keyword">constexpr</span> <span class="keyword">static</span> <a class="code hl_typedef" href="namespacemlx_1_1core.html#acb5d16c9b83778c7621c38e522e0060b">bfloat16_t</a> bits_to_bfloat(uint16_t v) {</div>
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<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> <span class="keywordflow">return</span> <a class="code hl_union" href="structmlx_1_1core_1_1numeric__limits.html">bfloat_or_bits</a>{v}.<a class="code hl_variable" href="structmlx_1_1core_1_1numeric__limits.html#a8e5bdc5369b95d63fa15250f6997c652">value</a>;</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> </div>
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<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> <span class="keyword">public</span>:</div>
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<div class="foldopen" id="foldopen00050" data-start="{" data-end="}">
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<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"><a class="line" href="structmlx_1_1core_1_1numeric__limits.html#a3623580fbfd92ceb69cdd8e329e18fa8"> 50</a></span> <span class="keyword">constexpr</span> <span class="keyword">static</span> <a class="code hl_typedef" href="namespacemlx_1_1core.html#acb5d16c9b83778c7621c38e522e0060b">bfloat16_t</a> <a class="code hl_function" href="structmlx_1_1core_1_1numeric__limits.html#a3623580fbfd92ceb69cdd8e329e18fa8">lowest</a>() {</div>
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<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> <span class="keywordflow">return</span> bits_to_bfloat(0xFF7F);</div>
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<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> }</div>
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</div>
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<div class="foldopen" id="foldopen00053" data-start="{" data-end="}">
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<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"><a class="line" href="structmlx_1_1core_1_1numeric__limits.html#a01712fcb04266320225c168a0e6f619a"> 53</a></span> <span class="keyword">static</span> <span class="keyword">constexpr</span> <a class="code hl_typedef" href="namespacemlx_1_1core.html#acb5d16c9b83778c7621c38e522e0060b">bfloat16_t</a> <a class="code hl_function" href="structmlx_1_1core_1_1numeric__limits.html#a01712fcb04266320225c168a0e6f619a">max</a>() {</div>
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<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> <span class="keywordflow">return</span> bits_to_bfloat(0x7F7F);</div>
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<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> }</div>
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</div>
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<div class="foldopen" id="foldopen00056" data-start="{" data-end="}">
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<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"><a class="line" href="structmlx_1_1core_1_1numeric__limits.html#a974982399d0211786599526abdb843b8"> 56</a></span> <span class="keyword">static</span> <span class="keyword">constexpr</span> <a class="code hl_typedef" href="namespacemlx_1_1core.html#acb5d16c9b83778c7621c38e522e0060b">bfloat16_t</a> <a class="code hl_function" href="structmlx_1_1core_1_1numeric__limits.html#a974982399d0211786599526abdb843b8">infinity</a>() {</div>
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<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> <span class="keywordflow">return</span> bits_to_bfloat(0x7F80);</div>
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<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> }</div>
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</div>
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<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span>};</div>
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</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">// namespace mlx::core</span></div>
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<div class="ttc" id="ahalf__types_8h_html"><div class="ttname"><a href="half__types_8h.html">half_types.h</a></div></div>
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<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="anamespacemlx_1_1core_html_acb5d16c9b83778c7621c38e522e0060b"><div class="ttname"><a href="namespacemlx_1_1core.html#acb5d16c9b83778c7621c38e522e0060b">mlx::core::bfloat16_t</a></div><div class="ttdeci">struct _MLX_BFloat16 bfloat16_t</div><div class="ttdef"><b>Definition</b> half_types.h:32</div></div>
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<div class="ttc" id="anamespacemlx_1_1core_html_afbd2769c30e721afc85a7b9fb55b8e52"><div class="ttname"><a href="namespacemlx_1_1core.html#afbd2769c30e721afc85a7b9fb55b8e52">mlx::core::float16_t</a></div><div class="ttdeci">struct _MLX_Float16 float16_t</div><div class="ttdef"><b>Definition</b> half_types.h:16</div></div>
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<div class="ttc" id="astructmlx_1_1core_1_1numeric__limits_html"><div class="ttname"><a href="structmlx_1_1core_1_1numeric__limits.html">mlx::core::numeric_limits</a></div><div class="ttdef"><b>Definition</b> limits.h:10</div></div>
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<div class="ttc" id="astructmlx_1_1core_1_1numeric__limits_html_a01712fcb04266320225c168a0e6f619a"><div class="ttname"><a href="structmlx_1_1core_1_1numeric__limits.html#a01712fcb04266320225c168a0e6f619a">mlx::core::numeric_limits< bfloat16_t >::max</a></div><div class="ttdeci">static constexpr bfloat16_t max()</div><div class="ttdef"><b>Definition</b> limits.h:53</div></div>
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<div class="ttc" id="astructmlx_1_1core_1_1numeric__limits_html_a2a8f3f489b47b7e8398bec9895ae0c27"><div class="ttname"><a href="structmlx_1_1core_1_1numeric__limits.html#a2a8f3f489b47b7e8398bec9895ae0c27">mlx::core::numeric_limits< float16_t >::infinity</a></div><div class="ttdeci">static constexpr float16_t infinity()</div><div class="ttdef"><b>Definition</b> limits.h:33</div></div>
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<div class="ttc" id="astructmlx_1_1core_1_1numeric__limits_html_a34fd0b3402ee2636c396113ef15ef66b"><div class="ttname"><a href="structmlx_1_1core_1_1numeric__limits.html#a34fd0b3402ee2636c396113ef15ef66b">mlx::core::numeric_limits< float16_t >::half_or_bits::value</a></div><div class="ttdeci">float16_t value</div><div class="ttdef"><b>Definition</b> limits.h:20</div></div>
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<div class="ttc" id="astructmlx_1_1core_1_1numeric__limits_html_a3623580fbfd92ceb69cdd8e329e18fa8"><div class="ttname"><a href="structmlx_1_1core_1_1numeric__limits.html#a3623580fbfd92ceb69cdd8e329e18fa8">mlx::core::numeric_limits< bfloat16_t >::lowest</a></div><div class="ttdeci">static constexpr bfloat16_t lowest()</div><div class="ttdef"><b>Definition</b> limits.h:50</div></div>
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<div class="ttc" id="astructmlx_1_1core_1_1numeric__limits_html_a6dd1fadd4cc7c2cec6223977c238c334"><div class="ttname"><a href="structmlx_1_1core_1_1numeric__limits.html#a6dd1fadd4cc7c2cec6223977c238c334">mlx::core::numeric_limits< float16_t >::max</a></div><div class="ttdeci">static constexpr float16_t max()</div><div class="ttdef"><b>Definition</b> limits.h:30</div></div>
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<div class="ttc" id="astructmlx_1_1core_1_1numeric__limits_html_a8e5bdc5369b95d63fa15250f6997c652"><div class="ttname"><a href="structmlx_1_1core_1_1numeric__limits.html#a8e5bdc5369b95d63fa15250f6997c652">mlx::core::numeric_limits< bfloat16_t >::bfloat_or_bits::value</a></div><div class="ttdeci">bfloat16_t value</div><div class="ttdef"><b>Definition</b> limits.h:43</div></div>
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<div class="ttc" id="astructmlx_1_1core_1_1numeric__limits_html_a974982399d0211786599526abdb843b8"><div class="ttname"><a href="structmlx_1_1core_1_1numeric__limits.html#a974982399d0211786599526abdb843b8">mlx::core::numeric_limits< bfloat16_t >::infinity</a></div><div class="ttdeci">static constexpr bfloat16_t infinity()</div><div class="ttdef"><b>Definition</b> limits.h:56</div></div>
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<div class="ttc" id="astructmlx_1_1core_1_1numeric__limits_html_abc2d9cd8d0a90219f7eb6fd05b98e4ac"><div class="ttname"><a href="structmlx_1_1core_1_1numeric__limits.html#abc2d9cd8d0a90219f7eb6fd05b98e4ac">mlx::core::numeric_limits< float16_t >::lowest</a></div><div class="ttdeci">static constexpr float16_t lowest()</div><div class="ttdef"><b>Definition</b> limits.h:27</div></div>
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<div class="ttc" id="astructmlx_1_1core_1_1numeric__limits_html_ac1750c0d3daefb90b85088908e7fdb31"><div class="ttname"><a href="structmlx_1_1core_1_1numeric__limits.html#ac1750c0d3daefb90b85088908e7fdb31">mlx::core::numeric_limits< bfloat16_t >::bfloat_or_bits::bits</a></div><div class="ttdeci">uint16_t bits</div><div class="ttdef"><b>Definition</b> limits.h:42</div></div>
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<div class="ttc" id="astructmlx_1_1core_1_1numeric__limits_html_acbe0ed82732abe05d3f90b21d633b250"><div class="ttname"><a href="structmlx_1_1core_1_1numeric__limits.html#acbe0ed82732abe05d3f90b21d633b250">mlx::core::numeric_limits< float16_t >::half_or_bits::bits</a></div><div class="ttdeci">uint16_t bits</div><div class="ttdef"><b>Definition</b> limits.h:19</div></div>
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