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<div class="textblock"><code>#include &lt;metal_math&gt;</code><br />
<code>#include &quot;bf16.h&quot;</code><br />
<code>#include &quot;<a class="el" href="bf16__math_8h_source.html">mlx/backend/metal/kernels/bf16_math.h</a>&quot;</code><br />
<code>#include &quot;<a class="el" href="backend_2metal_2kernels_2complex_8h_source.html">mlx/backend/metal/kernels/complex.h</a>&quot;</code><br />
<code>#include &quot;<a class="el" href="defines_8h_source.html">mlx/backend/metal/kernels/defines.h</a>&quot;</code><br />
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<p><a href="backend_2metal_2kernels_2utils_8h_source.html">Go to the source code of this file.</a></p>
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<tr class="memitem:a8e5a4b0fb5d018d7b078d147efe4f1e3"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#a8e5a4b0fb5d018d7b078d147efe4f1e3">ceildiv</a> (T N, U M)</td></tr>
<tr class="memdesc:a8e5a4b0fb5d018d7b078d147efe4f1e3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Compute ceil((float)N/(float)M) <br /></td></tr>
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<tr class="memitem:ab4cbcdb054f9165130da91a3334da0cf" id="r_ab4cbcdb054f9165130da91a3334da0cf"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#ab4cbcdb054f9165130da91a3334da0cf">simd_shuffle</a> (bool data, uint16_t lane)</td></tr>
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<h2 class="groupheader">Macro Definition Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#abedffa358e7ba7782cc78d6772064c7c">&#9670;&#160;</a></span>instantiate_default_limit</h2>
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<td class="memname">#define instantiate_default_limit</td>
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<b>Value:</b><div class="fragment"><div class="line"> <span class="keyword">template</span> &lt;&gt; \</div>
<div class="line"> <span class="keyword">struct </span><a class="code hl_struct" href="struct_limits.html">Limits</a>&lt;type&gt; { \</div>
<div class="line"> <span class="keyword">static</span> <span class="keyword">constexpr</span> constant type <a class="code hl_function" href="namespacemetal.html#a853c80479ab2264d9c4587c7bcac767b">max</a> = metal::numeric_limits&lt;type&gt;::max(); \</div>
<div class="line"> <span class="keyword">static</span> <span class="keyword">constexpr</span> constant type <a class="code hl_function" href="namespacemetal.html#a6653b28c9473087141eddce39878d4d3">min</a> = metal::numeric_limits&lt;type&gt;::min(); \</div>
<div class="line"> <span class="keyword">static</span> <span class="keyword">constexpr</span> constant type finite_max = \</div>
<div class="line"> metal::numeric_limits&lt;type&gt;::max(); \</div>
<div class="line"> <span class="keyword">static</span> <span class="keyword">constexpr</span> constant type finite_min = \</div>
<div class="line"> metal::numeric_limits&lt;type&gt;::min(); \</div>
<div class="line"> };</div>
<div class="ttc" id="anamespacemetal_html_a6653b28c9473087141eddce39878d4d3"><div class="ttname"><a href="namespacemetal.html#a6653b28c9473087141eddce39878d4d3">metal::min</a></div><div class="ttdeci">METAL_FUNC bfloat16_t min(bfloat16_t x, bfloat16_t y)</div><div class="ttdef"><b>Definition</b> bf16_math.h:232</div></div>
<div class="ttc" id="anamespacemetal_html_a853c80479ab2264d9c4587c7bcac767b"><div class="ttname"><a href="namespacemetal.html#a853c80479ab2264d9c4587c7bcac767b">metal::max</a></div><div class="ttdeci">METAL_FUNC bfloat16_t max(bfloat16_t x, bfloat16_t y)</div><div class="ttdef"><b>Definition</b> bf16_math.h:232</div></div>
<div class="ttc" id="astruct_limits_html"><div class="ttname"><a href="struct_limits.html">Limits</a></div><div class="ttdef"><b>Definition</b> utils.h:23</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#a1e520e23f58ca645dea1ac20998d987a">&#9670;&#160;</a></span>instantiate_float_limit</h2>
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<td class="memname">#define instantiate_float_limit</td>
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<b>Value:</b><div class="fragment"><div class="line"> <span class="keyword">template</span> &lt;&gt; \</div>
<div class="line"> <span class="keyword">struct </span><a class="code hl_struct" href="struct_limits.html">Limits</a>&lt;type&gt; { \</div>
<div class="line"> <span class="keyword">static</span> <span class="keyword">constexpr</span> constant type <a class="code hl_function" href="namespacemetal.html#a853c80479ab2264d9c4587c7bcac767b">max</a> = \</div>
<div class="line"> metal::numeric_limits&lt;type&gt;::infinity(); \</div>
<div class="line"> <span class="keyword">static</span> <span class="keyword">constexpr</span> constant type <a class="code hl_function" href="namespacemetal.html#a6653b28c9473087141eddce39878d4d3">min</a> = \</div>
<div class="line"> -metal::numeric_limits&lt;type&gt;::infinity(); \</div>
<div class="line"> <span class="keyword">static</span> <span class="keyword">constexpr</span> constant type finite_max = \</div>
<div class="line"> metal::numeric_limits&lt;type&gt;::max(); \</div>
<div class="line"> <span class="keyword">static</span> <span class="keyword">constexpr</span> constant type finite_min = \</div>
<div class="line"> -metal::numeric_limits&lt;type&gt;::max(); \</div>
<div class="line"> };</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a069b682d7d21827461544817d722bfd3">&#9670;&#160;</a></span>MLX_MTL_PRAGMA_UNROLL</h2>
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<td class="memname">#define MLX_MTL_PRAGMA_UNROLL&#160;&#160;&#160;_Pragma(&quot;clang loop unroll(full)&quot;)</td>
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<h2 class="groupheader">Typedef Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#acb8ddf4a29129846b673c50ba7078773">&#9670;&#160;</a></span>float16_t</h2>
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<td class="memname">typedef half <a class="el" href="#acb8ddf4a29129846b673c50ba7078773">float16_t</a></td>
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<h2 class="groupheader">Function Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a8e5a4b0fb5d018d7b078d147efe4f1e3">&#9670;&#160;</a></span>ceildiv()</h2>
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template&lt;typename T, typename U&gt; </div>
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<td class="memname">T ceildiv </td>
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<td class="paramtype">U</td> <td class="paramname"><span class="paramname"><em>M</em></span>&#160;)</td>
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<p>Compute ceil((float)N/(float)M) </p>
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<h2 class="memtitle"><span class="permalink"><a href="#a497dd9f1a00c8a4303d8782158a0812a">&#9670;&#160;</a></span>elem_to_loc() <span class="overload">[1/2]</span></h2>
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template&lt;typename IdxT = int64_t&gt; </div>
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<td class="memname">METAL_FUNC IdxT elem_to_loc </td>
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<td class="paramtype">constant const int *</td> <td class="paramname"><span class="paramname"><em>shape</em></span>, </td>
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<td class="paramtype">int</td> <td class="paramname"><span class="paramname"><em>ndim</em></span>&#160;)</td>
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<h2 class="memtitle"><span class="permalink"><a href="#aa610d2e68eb75d7f2da5db386c1ffc9e">&#9670;&#160;</a></span>elem_to_loc() <span class="overload">[2/2]</span></h2>
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<td class="paramtype">constant const int *</td> <td class="paramname"><span class="paramname"><em>shape</em></span>, </td>
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<td class="paramtype">int</td> <td class="paramname"><span class="paramname"><em>ndim</em></span>&#160;)</td>
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<h2 class="memtitle"><span class="permalink"><a href="#a6787efcdf7a898d5bafb48f2a2f1e555">&#9670;&#160;</a></span>elem_to_loc_1()</h2>
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<td class="paramtype">constant const int64_t &amp;</td> <td class="paramname"><span class="paramname"><em>stride</em></span>&#160;)</td>
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<h2 class="memtitle"><span class="permalink"><a href="#aac0e227f82198021246aa91d8c427b3e">&#9670;&#160;</a></span>elem_to_loc_2()</h2>
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template&lt;typename IdxT = int64_t&gt; </div>
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<h2 class="memtitle"><span class="permalink"><a href="#a97ea664406a270b34ff5a23815716730">&#9670;&#160;</a></span>elem_to_loc_2_nd()</h2>
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<td class="memname">METAL_FUNC vec&lt; IdxT, 2 &gt; elem_to_loc_2_nd </td>
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<td class="paramtype">int</td> <td class="paramname"><span class="paramname"><em>ndim</em></span>&#160;)</td>
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<h2 class="memtitle"><span class="permalink"><a href="#ac8f4258ba306870b0280079f1c5eb23e">&#9670;&#160;</a></span>elem_to_loc_3()</h2>
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template&lt;typename IdxT = int64_t&gt; </div>
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<td class="paramtype">constant const int64_t</td> <td class="paramname"><span class="paramname"><em>strides</em></span>[3]&#160;)</td>
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<h2 class="memtitle"><span class="permalink"><a href="#a3501b665c8837eabf9789ea27a7d6946">&#9670;&#160;</a></span>log1p() <span class="overload">[1/2]</span></h2>
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<td class="memname"><a class="el" href="backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82">bfloat16_t</a> log1p </td>
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<h2 class="memtitle"><span class="permalink"><a href="#a27c03f2f90ab56db2e4d59559a3d2e9a">&#9670;&#160;</a></span>log1p() <span class="overload">[2/2]</span></h2>
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<h2 class="memtitle"><span class="permalink"><a href="#ab4cbcdb054f9165130da91a3334da0cf">&#9670;&#160;</a></span>simd_shuffle() <span class="overload">[1/4]</span></h2>
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<td class="memname"><a class="el" href="structcomplex64__t.html">complex64_t</a> simd_shuffle </td>
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<h2 class="memtitle"><span class="permalink"><a href="#ad55bd473647f2c6c68e65e5312c132d1">&#9670;&#160;</a></span>simd_shuffle_and_fill_up() <span class="overload">[1/4]</span></h2>
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<td class="memname"><a class="el" href="structcomplex64__t.html">complex64_t</a> simd_shuffle_and_fill_up </td>
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<h2 class="memtitle"><span class="permalink"><a href="#a48ae83a8caf5c74810df60b6c6cdb062">&#9670;&#160;</a></span>simd_shuffle_down() <span class="overload">[1/4]</span></h2>
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<td class="memname">int64_t simd_shuffle_up </td>
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<td class="paramtype">int64_t</td> <td class="paramname"><span class="paramname"><em>data</em></span>, </td>
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<td class="paramtype">uint16_t</td> <td class="paramname"><span class="paramname"><em>delta</em></span>&#160;)</td>
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<h2 class="memtitle"><span class="permalink"><a href="#a39e436e0a942912266aae7e0bd82d7c0">&#9670;&#160;</a></span>simd_shuffle_up() <span class="overload">[4/4]</span></h2>
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<td class="memname">uint64_t simd_shuffle_up </td>
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<td class="paramtype">uint64_t</td> <td class="paramname"><span class="paramname"><em>data</em></span>, </td>
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<td class="paramkey"></td>
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<td class="paramtype">uint16_t</td> <td class="paramname"><span class="paramname"><em>delta</em></span>&#160;)</td>
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