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<a href="common_2reduce_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>
<div class="line"><a id="l00002" name="l00002"></a><span class="lineno"> 2</span> </div>
<div class="line"><a id="l00003" name="l00003"></a><span class="lineno"> 3</span><span class="preprocessor">#pragma once</span></div>
<div class="line"><a id="l00004" name="l00004"></a><span class="lineno"> 4</span> </div>
<div class="line"><a id="l00005" name="l00005"></a><span class="lineno"> 5</span><span class="preprocessor">#include &quot;<a class="code" href="backend_2common_2utils_8h.html">mlx/backend/common/utils.h</a>&quot;</span></div>
<div class="line"><a id="l00006" name="l00006"></a><span class="lineno"> 6</span> </div>
<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>
<div class="line"><a id="l00008" name="l00008"></a><span class="lineno"> 8</span> </div>
<div class="foldopen" id="foldopen00009" data-start="{" data-end="};">
<div class="line"><a id="l00009" name="l00009"></a><span class="lineno"><a class="line" href="namespacemlx_1_1core.html#a12412984a1cabfe1189942c898f8fe65"> 9</a></span><span class="keyword">enum</span> <a class="code hl_enumeration" href="namespacemlx_1_1core.html#a12412984a1cabfe1189942c898f8fe65">ReductionOpType</a> {</div>
<div class="line"><a id="l00010" name="l00010"></a><span class="lineno"> 10</span> <span class="comment">// Self-explanatory. Read everything and produce 1 output.</span></div>
<div class="line"><a id="l00011" name="l00011"></a><span class="lineno"><a class="line" href="namespacemlx_1_1core.html#a12412984a1cabfe1189942c898f8fe65ae4e34c7154eb8dc47aa8503209730424"> 11</a></span> <a class="code hl_enumvalue" href="namespacemlx_1_1core.html#a12412984a1cabfe1189942c898f8fe65ae4e34c7154eb8dc47aa8503209730424">ContiguousAllReduce</a>,</div>
<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"> 12</span> </div>
<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span> <span class="comment">// The input is contiguous and the last axis is reduced</span></div>
<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span> <span class="comment">// N1xR1xN2xR2x...xNnxRn</span></div>
<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"><a class="line" href="namespacemlx_1_1core.html#a12412984a1cabfe1189942c898f8fe65ad2547f25dffe8d8936dbec25601cfc84"> 15</a></span> <a class="code hl_enumvalue" href="namespacemlx_1_1core.html#a12412984a1cabfe1189942c898f8fe65ad2547f25dffe8d8936dbec25601cfc84">ContiguousReduce</a>,</div>
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span> </div>
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span> <span class="comment">// The input is contiguous and the last axis is not reduced</span></div>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span> <span class="comment">// R1xN1xR2xN2x...xRnxNn</span></div>
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"><a class="line" href="namespacemlx_1_1core.html#a12412984a1cabfe1189942c898f8fe65ab48dac7508a2c790de1bdc33f29177ed"> 19</a></span> <a class="code hl_enumvalue" href="namespacemlx_1_1core.html#a12412984a1cabfe1189942c898f8fe65ab48dac7508a2c790de1bdc33f29177ed">ContiguousStridedReduce</a>,</div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span> </div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span> <span class="comment">// The input is not contiguous but the last axis is and it is reduced so we</span></div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span> <span class="comment">// need to figure out the offsets but we can call the contiguous reduce after</span></div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span> <span class="comment">// that.</span></div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span> <span class="comment">// N3xR1xN1xR4x...xRn</span></div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"><a class="line" href="namespacemlx_1_1core.html#a12412984a1cabfe1189942c898f8fe65a540cf31fe6858115a02e789938297cdb"> 25</a></span> <a class="code hl_enumvalue" href="namespacemlx_1_1core.html#a12412984a1cabfe1189942c898f8fe65a540cf31fe6858115a02e789938297cdb">GeneralContiguousReduce</a>,</div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span> </div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span> <span class="comment">// The input is not contiguous but the last reduction axis and the last axis</span></div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span> <span class="comment">// are so we need to figure out the offset but we can call the strided reduce</span></div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span> <span class="comment">// after that.</span></div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"><a class="line" href="namespacemlx_1_1core.html#a12412984a1cabfe1189942c898f8fe65ad999b1a8ae1d7436efb5ffdfafb1dd3d"> 30</a></span> <a class="code hl_enumvalue" href="namespacemlx_1_1core.html#a12412984a1cabfe1189942c898f8fe65ad999b1a8ae1d7436efb5ffdfafb1dd3d">GeneralStridedReduce</a>,</div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span> </div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> <span class="comment">// The input is not contiguous after the reduction axis and it may contain</span></div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span> <span class="comment">// 0-stride axes or transpositions. We could copy the strides and produce a</span></div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span> <span class="comment">// transposed outcome or we can read the input out of order and write the</span></div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> <span class="comment">// output in order.</span></div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"><a class="line" href="namespacemlx_1_1core.html#a12412984a1cabfe1189942c898f8fe65a3622f95ed0ec99657f9ad8ef39ec2184"> 36</a></span> <a class="code hl_enumvalue" href="namespacemlx_1_1core.html#a12412984a1cabfe1189942c898f8fe65a3622f95ed0ec99657f9ad8ef39ec2184">GeneralReduce</a></div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span>};</div>
</div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> </div>
<div class="foldopen" id="foldopen00039" data-start="{" data-end="};">
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"><a class="line" href="structmlx_1_1core_1_1_reduction_plan.html"> 39</a></span><span class="keyword">struct </span><a class="code hl_function" href="structmlx_1_1core_1_1_reduction_plan.html#a07d9eb40a259918ce23360416b3e9db8">ReductionPlan</a> {</div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"><a class="line" href="structmlx_1_1core_1_1_reduction_plan.html#a24e407f13d4d02156380ecc1a6748a76"> 40</a></span> <a class="code hl_enumeration" href="namespacemlx_1_1core.html#a12412984a1cabfe1189942c898f8fe65">ReductionOpType</a> <a class="code hl_variable" href="structmlx_1_1core_1_1_reduction_plan.html#a24e407f13d4d02156380ecc1a6748a76">type</a>;</div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"><a class="line" href="structmlx_1_1core_1_1_reduction_plan.html#a1576dc3d2e01b3f1e11816151070dd1a"> 41</a></span> <a class="code hl_typedef" href="namespacemlx_1_1core.html#a694e23f2d59606643728ad443d621416">Shape</a> <a class="code hl_variable" href="structmlx_1_1core_1_1_reduction_plan.html#a1576dc3d2e01b3f1e11816151070dd1a">shape</a>;</div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"><a class="line" href="structmlx_1_1core_1_1_reduction_plan.html#a58bc6189e5e7175dae92632a7bcfd53e"> 42</a></span> <a class="code hl_typedef" href="namespacemlx_1_1core.html#a79939016d0972ded7db37130da2a8b5c">Strides</a> <a class="code hl_variable" href="structmlx_1_1core_1_1_reduction_plan.html#a58bc6189e5e7175dae92632a7bcfd53e">strides</a>;</div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> </div>
<div class="foldopen" id="foldopen00044" data-start="{" data-end="}">
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"><a class="line" href="structmlx_1_1core_1_1_reduction_plan.html#a07d9eb40a259918ce23360416b3e9db8"> 44</a></span> <a class="code hl_function" href="structmlx_1_1core_1_1_reduction_plan.html#a07d9eb40a259918ce23360416b3e9db8">ReductionPlan</a>(<a class="code hl_enumeration" href="namespacemlx_1_1core.html#a12412984a1cabfe1189942c898f8fe65">ReductionOpType</a> type_, <a class="code hl_typedef" href="namespacemlx_1_1core.html#a694e23f2d59606643728ad443d621416">Shape</a> shape_, <a class="code hl_typedef" href="namespacemlx_1_1core.html#a79939016d0972ded7db37130da2a8b5c">Strides</a> strides_)</div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> : <a class="code hl_variable" href="structmlx_1_1core_1_1_reduction_plan.html#a24e407f13d4d02156380ecc1a6748a76">type</a>(type_), <a class="code hl_variable" href="structmlx_1_1core_1_1_reduction_plan.html#a1576dc3d2e01b3f1e11816151070dd1a">shape</a>(<a class="code hl_function" href="group__ops.html#ga2a466024f8061febc0a64be557644cb0">std</a>::move(shape_)), <a class="code hl_variable" href="structmlx_1_1core_1_1_reduction_plan.html#a58bc6189e5e7175dae92632a7bcfd53e">strides</a>(<a class="code hl_function" href="group__ops.html#ga2a466024f8061febc0a64be557644cb0">std</a>::move(strides_)) {}</div>
</div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"><a class="line" href="structmlx_1_1core_1_1_reduction_plan.html#aec7496f3740a0b0d51aaa606f6fd68f4"> 46</a></span> <a class="code hl_function" href="structmlx_1_1core_1_1_reduction_plan.html#aec7496f3740a0b0d51aaa606f6fd68f4">ReductionPlan</a>(<a class="code hl_enumeration" href="namespacemlx_1_1core.html#a12412984a1cabfe1189942c898f8fe65">ReductionOpType</a> type_) : <a class="code hl_variable" href="structmlx_1_1core_1_1_reduction_plan.html#a24e407f13d4d02156380ecc1a6748a76">type</a>(type_) {}</div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span>};</div>
</div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> </div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"><a class="line" href="namespacemlx_1_1core.html#ac97b5a6f009ca3d99854ce9512c20dba"> 49</a></span><a class="code hl_struct" href="structmlx_1_1core_1_1_reduction_plan.html">ReductionPlan</a> <a class="code hl_function" href="namespacemlx_1_1core.html#ac97b5a6f009ca3d99854ce9512c20dba">get_reduction_plan</a>(<span class="keyword">const</span> <a class="code hl_class" href="classmlx_1_1core_1_1array.html">array</a>&amp; x, <span class="keyword">const</span> std::vector&lt;int&gt;&amp; axes);</div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> </div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"><a class="line" href="namespacemlx_1_1core.html#a0bea91a360a984e72d2815353f97ee25"> 51</a></span>std::pair&lt;Shape, Strides&gt; <a class="code hl_function" href="namespacemlx_1_1core.html#a0bea91a360a984e72d2815353f97ee25">shapes_without_reduction_axes</a>(</div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> <span class="keyword">const</span> <a class="code hl_class" href="classmlx_1_1core_1_1array.html">array</a>&amp; x,</div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> <span class="keyword">const</span> std::vector&lt;int&gt;&amp; axes);</div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> </div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span>} <span class="comment">// namespace mlx::core</span></div>
<div class="ttc" id="abackend_2common_2utils_8h_html"><div class="ttname"><a href="backend_2common_2utils_8h.html">utils.h</a></div></div>
<div class="ttc" id="aclassmlx_1_1core_1_1array_html"><div class="ttname"><a href="classmlx_1_1core_1_1array.html">mlx::core::array</a></div><div class="ttdef"><b>Definition</b> array.h:24</div></div>
<div class="ttc" id="agroup__ops_html_ga2a466024f8061febc0a64be557644cb0"><div class="ttname"><a href="group__ops.html#ga2a466024f8061febc0a64be557644cb0">mlx::core::std</a></div><div class="ttdeci">array std(const array &amp;a, bool keepdims, int ddof=0, StreamOrDevice s={})</div><div class="ttdoc">Computes the standard deviation of the elements of an array.</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>
<div class="ttc" id="anamespacemlx_1_1core_html_a0bea91a360a984e72d2815353f97ee25"><div class="ttname"><a href="namespacemlx_1_1core.html#a0bea91a360a984e72d2815353f97ee25">mlx::core::shapes_without_reduction_axes</a></div><div class="ttdeci">std::pair&lt; Shape, Strides &gt; shapes_without_reduction_axes(const array &amp;x, const std::vector&lt; int &gt; &amp;axes)</div></div>
<div class="ttc" id="anamespacemlx_1_1core_html_a12412984a1cabfe1189942c898f8fe65"><div class="ttname"><a href="namespacemlx_1_1core.html#a12412984a1cabfe1189942c898f8fe65">mlx::core::ReductionOpType</a></div><div class="ttdeci">ReductionOpType</div><div class="ttdef"><b>Definition</b> reduce.h:9</div></div>
<div class="ttc" id="anamespacemlx_1_1core_html_a12412984a1cabfe1189942c898f8fe65a3622f95ed0ec99657f9ad8ef39ec2184"><div class="ttname"><a href="namespacemlx_1_1core.html#a12412984a1cabfe1189942c898f8fe65a3622f95ed0ec99657f9ad8ef39ec2184">mlx::core::GeneralReduce</a></div><div class="ttdeci">@ GeneralReduce</div><div class="ttdef"><b>Definition</b> reduce.h:36</div></div>
<div class="ttc" id="anamespacemlx_1_1core_html_a12412984a1cabfe1189942c898f8fe65a540cf31fe6858115a02e789938297cdb"><div class="ttname"><a href="namespacemlx_1_1core.html#a12412984a1cabfe1189942c898f8fe65a540cf31fe6858115a02e789938297cdb">mlx::core::GeneralContiguousReduce</a></div><div class="ttdeci">@ GeneralContiguousReduce</div><div class="ttdef"><b>Definition</b> reduce.h:25</div></div>
<div class="ttc" id="anamespacemlx_1_1core_html_a12412984a1cabfe1189942c898f8fe65ab48dac7508a2c790de1bdc33f29177ed"><div class="ttname"><a href="namespacemlx_1_1core.html#a12412984a1cabfe1189942c898f8fe65ab48dac7508a2c790de1bdc33f29177ed">mlx::core::ContiguousStridedReduce</a></div><div class="ttdeci">@ ContiguousStridedReduce</div><div class="ttdef"><b>Definition</b> reduce.h:19</div></div>
<div class="ttc" id="anamespacemlx_1_1core_html_a12412984a1cabfe1189942c898f8fe65ad2547f25dffe8d8936dbec25601cfc84"><div class="ttname"><a href="namespacemlx_1_1core.html#a12412984a1cabfe1189942c898f8fe65ad2547f25dffe8d8936dbec25601cfc84">mlx::core::ContiguousReduce</a></div><div class="ttdeci">@ ContiguousReduce</div><div class="ttdef"><b>Definition</b> reduce.h:15</div></div>
<div class="ttc" id="anamespacemlx_1_1core_html_a12412984a1cabfe1189942c898f8fe65ad999b1a8ae1d7436efb5ffdfafb1dd3d"><div class="ttname"><a href="namespacemlx_1_1core.html#a12412984a1cabfe1189942c898f8fe65ad999b1a8ae1d7436efb5ffdfafb1dd3d">mlx::core::GeneralStridedReduce</a></div><div class="ttdeci">@ GeneralStridedReduce</div><div class="ttdef"><b>Definition</b> reduce.h:30</div></div>
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<div class="ttc" id="anamespacemlx_1_1core_html_a694e23f2d59606643728ad443d621416"><div class="ttname"><a href="namespacemlx_1_1core.html#a694e23f2d59606643728ad443d621416">mlx::core::Shape</a></div><div class="ttdeci">std::vector&lt; ShapeElem &gt; Shape</div><div class="ttdef"><b>Definition</b> array.h:21</div></div>
<div class="ttc" id="anamespacemlx_1_1core_html_a79939016d0972ded7db37130da2a8b5c"><div class="ttname"><a href="namespacemlx_1_1core.html#a79939016d0972ded7db37130da2a8b5c">mlx::core::Strides</a></div><div class="ttdeci">std::vector&lt; int64_t &gt; Strides</div><div class="ttdef"><b>Definition</b> array.h:22</div></div>
<div class="ttc" id="anamespacemlx_1_1core_html_ac97b5a6f009ca3d99854ce9512c20dba"><div class="ttname"><a href="namespacemlx_1_1core.html#ac97b5a6f009ca3d99854ce9512c20dba">mlx::core::get_reduction_plan</a></div><div class="ttdeci">ReductionPlan get_reduction_plan(const array &amp;x, const std::vector&lt; int &gt; &amp;axes)</div></div>
<div class="ttc" id="astructmlx_1_1core_1_1_reduction_plan_html"><div class="ttname"><a href="structmlx_1_1core_1_1_reduction_plan.html">mlx::core::ReductionPlan</a></div><div class="ttdef"><b>Definition</b> reduce.h:39</div></div>
<div class="ttc" id="astructmlx_1_1core_1_1_reduction_plan_html_a07d9eb40a259918ce23360416b3e9db8"><div class="ttname"><a href="structmlx_1_1core_1_1_reduction_plan.html#a07d9eb40a259918ce23360416b3e9db8">mlx::core::ReductionPlan::ReductionPlan</a></div><div class="ttdeci">ReductionPlan(ReductionOpType type_, Shape shape_, Strides strides_)</div><div class="ttdef"><b>Definition</b> reduce.h:44</div></div>
<div class="ttc" id="astructmlx_1_1core_1_1_reduction_plan_html_a1576dc3d2e01b3f1e11816151070dd1a"><div class="ttname"><a href="structmlx_1_1core_1_1_reduction_plan.html#a1576dc3d2e01b3f1e11816151070dd1a">mlx::core::ReductionPlan::shape</a></div><div class="ttdeci">Shape shape</div><div class="ttdef"><b>Definition</b> reduce.h:41</div></div>
<div class="ttc" id="astructmlx_1_1core_1_1_reduction_plan_html_a24e407f13d4d02156380ecc1a6748a76"><div class="ttname"><a href="structmlx_1_1core_1_1_reduction_plan.html#a24e407f13d4d02156380ecc1a6748a76">mlx::core::ReductionPlan::type</a></div><div class="ttdeci">ReductionOpType type</div><div class="ttdef"><b>Definition</b> reduce.h:40</div></div>
<div class="ttc" id="astructmlx_1_1core_1_1_reduction_plan_html_a58bc6189e5e7175dae92632a7bcfd53e"><div class="ttname"><a href="structmlx_1_1core_1_1_reduction_plan.html#a58bc6189e5e7175dae92632a7bcfd53e">mlx::core::ReductionPlan::strides</a></div><div class="ttdeci">Strides strides</div><div class="ttdef"><b>Definition</b> reduce.h:42</div></div>
<div class="ttc" id="astructmlx_1_1core_1_1_reduction_plan_html_aec7496f3740a0b0d51aaa606f6fd68f4"><div class="ttname"><a href="structmlx_1_1core_1_1_reduction_plan.html#aec7496f3740a0b0d51aaa606f6fd68f4">mlx::core::ReductionPlan::ReductionPlan</a></div><div class="ttdeci">ReductionPlan(ReductionOpType type_)</div><div class="ttdef"><b>Definition</b> reduce.h:46</div></div>
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