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<div class="textblock"><code>#include &lt;metal_math&gt;</code><br />
<code>#include &quot;<a class="el" href="backend_2metal_2kernels_2bf16_8h_source.html">mlx/backend/metal/kernels/bf16.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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<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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<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_variable" href="struct_limits.html#a2f0673b6f9da89ce1d64f9f3d74f50a8">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_variable" href="struct_limits.html#a6e81584ba65a4dc6ff9366b458e3a20e">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 <a class="code hl_variable" href="struct_limits.html#a5a3eae6d244fbea2aa7b9200001463e5">finite_max</a> = \</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 <a class="code hl_variable" href="struct_limits.html#ae7469d21f2688797ca3e388d919ef05e">finite_min</a> = \</div>
<div class="line"> metal::numeric_limits&lt;type&gt;::min(); \</div>
<div class="line"> };</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:17</div></div>
<div class="ttc" id="astruct_limits_html_a2f0673b6f9da89ce1d64f9f3d74f50a8"><div class="ttname"><a href="struct_limits.html#a2f0673b6f9da89ce1d64f9f3d74f50a8">Limits::max</a></div><div class="ttdeci">static const constant U max</div><div class="ttdef"><b>Definition</b> utils.h:18</div></div>
<div class="ttc" id="astruct_limits_html_a5a3eae6d244fbea2aa7b9200001463e5"><div class="ttname"><a href="struct_limits.html#a5a3eae6d244fbea2aa7b9200001463e5">Limits::finite_max</a></div><div class="ttdeci">static const constant U finite_max</div><div class="ttdef"><b>Definition</b> utils.h:20</div></div>
<div class="ttc" id="astruct_limits_html_a6e81584ba65a4dc6ff9366b458e3a20e"><div class="ttname"><a href="struct_limits.html#a6e81584ba65a4dc6ff9366b458e3a20e">Limits::min</a></div><div class="ttdeci">static const constant U min</div><div class="ttdef"><b>Definition</b> utils.h:19</div></div>
<div class="ttc" id="astruct_limits_html_ae7469d21f2688797ca3e388d919ef05e"><div class="ttname"><a href="struct_limits.html#ae7469d21f2688797ca3e388d919ef05e">Limits::finite_min</a></div><div class="ttdeci">static const constant U finite_min</div><div class="ttdef"><b>Definition</b> utils.h:21</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_variable" href="struct_limits.html#a2f0673b6f9da89ce1d64f9f3d74f50a8">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_variable" href="struct_limits.html#a6e81584ba65a4dc6ff9366b458e3a20e">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 <a class="code hl_variable" href="struct_limits.html#a5a3eae6d244fbea2aa7b9200001463e5">finite_max</a> = \</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 <a class="code hl_variable" href="struct_limits.html#ae7469d21f2688797ca3e388d919ef05e">finite_min</a> = \</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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<p>Compute ceil((float)N/(float)M) </p>
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<h2 class="memtitle"><span class="permalink"><a href="#aa6b041005351293e68e19b5abf1286cd">&#9670;&#160;</a></span>elem_to_loc() <span class="overload">[1/3]</span></h2>
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template&lt;typename stride_t &gt; </div>
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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="#a8fd0c8fc6058e650fc99bca8b6acd7d1">&#9670;&#160;</a></span>elem_to_loc() <span class="overload">[2/3]</span></h2>
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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="#a37e00d94751710e81c9632bca2f91e51">&#9670;&#160;</a></span>elem_to_loc() <span class="overload">[3/3]</span></h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a196a07022b812b241d4c06192c0fa83d">&#9670;&#160;</a></span>elem_to_loc_1()</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#ad6c45cacca97899cd362df49c06fea79">&#9670;&#160;</a></span>elem_to_loc_2()</h2>
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<td class="memname">METAL_FUNC stride_t elem_to_loc_2 </td>
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<td class="paramtype">constant const stride_t</td> <td class="paramname"><span class="paramname"><em>strides</em></span>[2]&#160;)</td>
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<h2 class="memtitle"><span class="permalink"><a href="#a01c9309978a6c12f79b6e4108728a953">&#9670;&#160;</a></span>elem_to_loc_2_nd()</h2>
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template&lt;typename stride_t &gt; </div>
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<td class="memname">METAL_FUNC ulong2 elem_to_loc_2_nd </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="#a2c34ed54714c69e6e1b44344f9e6e330">&#9670;&#160;</a></span>elem_to_loc_3()</h2>
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template&lt;typename stride_t &gt; </div>
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<td class="memname">METAL_FUNC stride_t elem_to_loc_3 </td>
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<td class="paramtype">constant const stride_t</td> <td class="paramname"><span class="paramname"><em>strides</em></span>[3]&#160;)</td>
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<td class="memname">METAL_FUNC ulong3 elem_to_loc_3_nd </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">constant const size_t *</td> <td class="paramname"><span class="paramname"><em>a_strides</em></span>, </td>
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<td class="paramtype">constant const size_t *</td> <td class="paramname"><span class="paramname"><em>c_strides</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="#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_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82">bfloat16_t</a> log1p </td>
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<td class="memname">float log1p </td>
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<td class="memname">bool simd_shuffle </td>
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<td class="memname"><a class="el" href="structcomplex64__t.html">complex64_t</a> simd_shuffle </td>
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<td class="memname">int64_t simd_shuffle </td>
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<td class="memname">uint64_t simd_shuffle </td>
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<td class="memname">bool simd_shuffle_and_fill_up </td>
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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="#a7bb56415c5412a6a26f70a990915f064">&#9670;&#160;</a></span>simd_shuffle_and_fill_up() <span class="overload">[3/4]</span></h2>
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<td class="memname">int64_t simd_shuffle_and_fill_up </td>
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<td class="memname">uint64_t 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">bool simd_shuffle_down </td>
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<td class="memname">int64_t simd_shuffle_down </td>
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