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<div class="headertitle"><div class="title">transforms.h</div></div>
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<a href="transforms_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 © 2023-2024 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 <optional></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="preprocessor">#include "<a class="code" href="array_8h.html">mlx/array.h</a>"</span></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">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="l00010" name="l00010"></a><span class="lineno"> 10</span> </div>
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<div class="line"><a id="l00011" name="l00011"></a><span class="lineno"><a class="line" href="namespacemlx_1_1core.html#a15dda19aa7fa1fc5fca35df5cf963297"> 11</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="namespacemlx_1_1core.html#a15dda19aa7fa1fc5fca35df5cf963297">async_eval</a>(std::vector<array> outputs);</div>
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<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"> 12</span> </div>
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<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"><a class="line" href="namespacemlx_1_1core.html#a7d6e097d8effed52f4713672e471f299"> 13</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="namespacemlx_1_1core.html#a7d6e097d8effed52f4713672e471f299">eval</a>(std::vector<array> outputs);</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> <<span class="keyword">typename</span>... Arrays, <span class="keyword">typename</span> = <a class="code hl_typedef" href="namespacemlx_1_1core.html#af89751d79339f3e4d9318ea97d64d114">enable_for_arrays_t</a><Arrays...>></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="namespacemlx_1_1core.html#adb14f689c9f75f7901edb196c2bfb971"> 16</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="namespacemlx_1_1core.html#a7d6e097d8effed52f4713672e471f299">eval</a>(Arrays&&... outputs) {</div>
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<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span> <a class="code hl_function" href="namespacemlx_1_1core.html#a7d6e097d8effed52f4713672e471f299">eval</a>(std::vector<array>{std::forward<Arrays>(outputs)...});</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>
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<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span> </div>
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<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"><a class="line" href="namespacemlx_1_1core.html#a1b33e2c2e3471420490cf0be2de6de18"> 27</a></span>std::pair<std::vector<array>, std::vector<array>> <a class="code hl_function" href="namespacemlx_1_1core.html#a1b33e2c2e3471420490cf0be2de6de18">vjp</a>(</div>
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<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span> <span class="keyword">const</span> std::function<std::vector<array>(<span class="keyword">const</span> std::vector<array>&)>& fun,</div>
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<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span> <span class="keyword">const</span> std::vector<array>& primals,</div>
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<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span> <span class="keyword">const</span> std::vector<array>& cotangents);</div>
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<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span> </div>
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<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"><a class="line" href="namespacemlx_1_1core.html#a2065a11249c3f4356ffd69b7a8c487ff"> 35</a></span>std::pair<array, array> <a class="code hl_function" href="namespacemlx_1_1core.html#a1b33e2c2e3471420490cf0be2de6de18">vjp</a>(</div>
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<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> <span class="keyword">const</span> std::function<<a class="code hl_class" href="classmlx_1_1core_1_1array.html">array</a>(<span class="keyword">const</span> <a class="code hl_class" href="classmlx_1_1core_1_1array.html">array</a>&)>& fun,</div>
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<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> <span class="keyword">const</span> <a class="code hl_class" href="classmlx_1_1core_1_1array.html">array</a>& primal,</div>
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<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> <span class="keyword">const</span> <a class="code hl_class" href="classmlx_1_1core_1_1array.html">array</a>& cotangent);</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="l00047" name="l00047"></a><span class="lineno"><a class="line" href="namespacemlx_1_1core.html#a179a632200366c223d6ab56d3e032592"> 47</a></span>std::pair<std::vector<array>, std::vector<array>> <a class="code hl_function" href="namespacemlx_1_1core.html#a179a632200366c223d6ab56d3e032592">jvp</a>(</div>
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<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> <span class="keyword">const</span> std::function<std::vector<array>(<span class="keyword">const</span> std::vector<array>&)>& fun,</div>
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<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> <span class="keyword">const</span> std::vector<array>& primals,</div>
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<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> <span class="keyword">const</span> std::vector<array>& tangents);</div>
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<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> </div>
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<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"><a class="line" href="namespacemlx_1_1core.html#af38e7582db29519bb39326f6fa531d20"> 55</a></span>std::pair<array, array> <a class="code hl_function" href="namespacemlx_1_1core.html#a179a632200366c223d6ab56d3e032592">jvp</a>(</div>
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<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> <span class="keyword">const</span> std::function<<a class="code hl_class" href="classmlx_1_1core_1_1array.html">array</a>(<span class="keyword">const</span> <a class="code hl_class" href="classmlx_1_1core_1_1array.html">array</a>&)>& fun,</div>
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<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> <span class="keyword">const</span> <a class="code hl_class" href="classmlx_1_1core_1_1array.html">array</a>& primal,</div>
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<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> <span class="keyword">const</span> <a class="code hl_class" href="classmlx_1_1core_1_1array.html">array</a>& tangent);</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 class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span><span class="comment">// Return type of general value_and_grad: a function which takes an input</span></div>
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<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span><span class="comment">// vector of arrays and returns a pair of vectors of arrays one for the</span></div>
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<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span><span class="comment">// values and one for the gradients wrt the first value.</span></div>
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<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"><a class="line" href="namespacemlx_1_1core.html#ab79d66ddf1ec38b2f2c01234892a2230"> 63</a></span><span class="keyword">using </span><a class="code hl_typedef" href="namespacemlx_1_1core.html#ab79d66ddf1ec38b2f2c01234892a2230">ValueAndGradFn</a> =</div>
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<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> std::function<std::pair<std::vector<array>, std::vector<array>>(</div>
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<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> <span class="keyword">const</span> std::vector<array>&)>;</div>
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<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"><a class="line" href="namespacemlx_1_1core.html#a2689b8f1181648cb1685204fea9f3066"> 66</a></span><span class="keyword">using </span><a class="code hl_typedef" href="namespacemlx_1_1core.html#a2689b8f1181648cb1685204fea9f3066">SimpleValueAndGradFn</a> = std::function<std::pair<array, std::vector<array>>(</div>
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<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> <span class="keyword">const</span> std::vector<array>&)>;</div>
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<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> </div>
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<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"><a class="line" href="namespacemlx_1_1core.html#abf49b337a00997231c0f7fd389efa8f3"> 73</a></span><a class="code hl_typedef" href="namespacemlx_1_1core.html#ab79d66ddf1ec38b2f2c01234892a2230">ValueAndGradFn</a> <a class="code hl_function" href="namespacemlx_1_1core.html#abf49b337a00997231c0f7fd389efa8f3">value_and_grad</a>(</div>
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<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> <span class="keyword">const</span> std::function<std::vector<array>(<span class="keyword">const</span> std::vector<array>&)>& fun,</div>
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<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> <span class="keyword">const</span> std::vector<int>& argnums);</div>
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<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> </div>
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<div class="foldopen" id="foldopen00081" data-start="{" data-end="}">
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<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"><a class="line" href="namespacemlx_1_1core.html#a7b987f404b8699de00f9e0099ab6b1b0"> 81</a></span><a class="code hl_typedef" href="namespacemlx_1_1core.html#ab79d66ddf1ec38b2f2c01234892a2230">ValueAndGradFn</a> <span class="keyword">inline</span> <a class="code hl_function" href="namespacemlx_1_1core.html#abf49b337a00997231c0f7fd389efa8f3">value_and_grad</a>(</div>
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<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> <span class="keyword">const</span> std::function<std::vector<array>(<span class="keyword">const</span> std::vector<array>&)>& fun,</div>
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<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> <span class="keywordtype">int</span> argnum = 0) {</div>
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<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespacemlx_1_1core.html#abf49b337a00997231c0f7fd389efa8f3">value_and_grad</a>(fun, std::vector<int>{argnum});</div>
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<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span>}</div>
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</div>
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<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> </div>
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<div class="foldopen" id="foldopen00091" data-start="{" data-end="}">
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<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"><a class="line" href="namespacemlx_1_1core.html#a5a64dc878b29403d27e50bd7a288cc04"> 91</a></span>std::function<std::pair<array, array>(<span class="keyword">const</span> <a class="code hl_class" href="classmlx_1_1core_1_1array.html">array</a>&)> <span class="keyword">inline</span> <a class="code hl_function" href="namespacemlx_1_1core.html#abf49b337a00997231c0f7fd389efa8f3">value_and_grad</a>(</div>
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<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> <span class="keyword">const</span> std::function<<a class="code hl_class" href="classmlx_1_1core_1_1array.html">array</a>(<span class="keyword">const</span> <a class="code hl_class" href="classmlx_1_1core_1_1array.html">array</a>&)>& fun) {</div>
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<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> <span class="keywordflow">return</span> [fun](<span class="keyword">auto</span> inputs) { <span class="keywordflow">return</span> <a class="code hl_function" href="namespacemlx_1_1core.html#a1b33e2c2e3471420490cf0be2de6de18">vjp</a>(fun, inputs, <a class="code hl_class" href="classmlx_1_1core_1_1array.html">array</a>(1.0f)); };</div>
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<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span>}</div>
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</div>
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<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> </div>
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<div class="foldopen" id="foldopen00096" data-start="{" data-end="}">
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<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"><a class="line" href="namespacemlx_1_1core.html#a7620f1ae298127cb6181db9162f012a7"> 96</a></span><a class="code hl_typedef" href="namespacemlx_1_1core.html#a2689b8f1181648cb1685204fea9f3066">SimpleValueAndGradFn</a> <span class="keyword">inline</span> <a class="code hl_function" href="namespacemlx_1_1core.html#abf49b337a00997231c0f7fd389efa8f3">value_and_grad</a>(</div>
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<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> <span class="keyword">const</span> std::function<<a class="code hl_class" href="classmlx_1_1core_1_1array.html">array</a>(<span class="keyword">const</span> std::vector<array>&)>& fun,</div>
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<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> <span class="keyword">const</span> std::vector<int>& argnums) {</div>
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<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> <span class="keywordflow">return</span> [fun, argnums](<span class="keyword">auto</span> inputs) {</div>
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<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> <span class="keyword">auto</span> result = <a class="code hl_function" href="namespacemlx_1_1core.html#abf49b337a00997231c0f7fd389efa8f3">value_and_grad</a>(</div>
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<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> [fun](<span class="keyword">auto</span> inputs) { <span class="keywordflow">return</span> std::vector<array>{fun(inputs)}; },</div>
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<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> argnums)(inputs);</div>
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<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> </div>
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<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> <span class="keywordflow">return</span> std::make_pair(result.first[0], result.second);</div>
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<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> };</div>
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<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span>}</div>
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</div>
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<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> </div>
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<div class="foldopen" id="foldopen00108" data-start="{" data-end="}">
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<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"><a class="line" href="namespacemlx_1_1core.html#a2f69ffc30d66b1fca8f24b65be161a51"> 108</a></span><a class="code hl_typedef" href="namespacemlx_1_1core.html#a2689b8f1181648cb1685204fea9f3066">SimpleValueAndGradFn</a> <span class="keyword">inline</span> <a class="code hl_function" href="namespacemlx_1_1core.html#abf49b337a00997231c0f7fd389efa8f3">value_and_grad</a>(</div>
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<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> <span class="keyword">const</span> std::function<<a class="code hl_class" href="classmlx_1_1core_1_1array.html">array</a>(<span class="keyword">const</span> std::vector<array>&)>& fun,</div>
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<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> <span class="keywordtype">int</span> argnum = 0) {</div>
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<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespacemlx_1_1core.html#abf49b337a00997231c0f7fd389efa8f3">value_and_grad</a>(fun, std::vector<int>{argnum});</div>
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<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span>}</div>
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</div>
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<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> </div>
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<div class="foldopen" id="foldopen00122" data-start="{" data-end="}">
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<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"><a class="line" href="namespacemlx_1_1core.html#a3d2b2929ed4636e9e2b86e125b2e57d9"> 122</a></span>std::function<std::vector<array>(<span class="keyword">const</span> std::vector<array>&)> <span class="keyword">inline</span> <a class="code hl_function" href="namespacemlx_1_1core.html#a3d2b2929ed4636e9e2b86e125b2e57d9">grad</a>(</div>
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<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> <span class="keyword">const</span> std::function<<a class="code hl_class" href="classmlx_1_1core_1_1array.html">array</a>(<span class="keyword">const</span> std::vector<array>&)>& fun,</div>
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<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> <span class="keyword">const</span> std::vector<int>& argnums) {</div>
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<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> <span class="keyword">auto</span> fn = <a class="code hl_function" href="namespacemlx_1_1core.html#abf49b337a00997231c0f7fd389efa8f3">value_and_grad</a>(fun, argnums);</div>
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<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> <span class="keywordflow">return</span> [fn](<span class="keyword">const</span> std::vector<array>& inputs) { <span class="keywordflow">return</span> fn(inputs).second; };</div>
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<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span>}</div>
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</div>
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<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> </div>
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<div class="foldopen" id="foldopen00137" data-start="{" data-end="}">
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<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"><a class="line" href="namespacemlx_1_1core.html#af482f6c64acd77c57ef5bb4b7be9726c"> 137</a></span>std::function<std::vector<array>(<span class="keyword">const</span> std::vector<array>&)> <span class="keyword">inline</span> <a class="code hl_function" href="namespacemlx_1_1core.html#a3d2b2929ed4636e9e2b86e125b2e57d9">grad</a>(</div>
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<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> <span class="keyword">const</span> std::function<<a class="code hl_class" href="classmlx_1_1core_1_1array.html">array</a>(<span class="keyword">const</span> std::vector<array>&)>& fun,</div>
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<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span> <span class="keywordtype">int</span> argnum = 0) {</div>
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<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespacemlx_1_1core.html#a3d2b2929ed4636e9e2b86e125b2e57d9">grad</a>(fun, std::vector<int>{argnum});</div>
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<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span>}</div>
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</div>
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<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span> </div>
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<div class="foldopen" id="foldopen00146" data-start="{" data-end="}">
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<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"><a class="line" href="namespacemlx_1_1core.html#a64bc619876b0f8cc81a2637ca81c99f7"> 146</a></span>std::function<<a class="code hl_class" href="classmlx_1_1core_1_1array.html">array</a>(<span class="keyword">const</span> <a class="code hl_class" href="classmlx_1_1core_1_1array.html">array</a>&)> <span class="keyword">inline</span> <a class="code hl_function" href="namespacemlx_1_1core.html#a3d2b2929ed4636e9e2b86e125b2e57d9">grad</a>(</div>
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<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span> <span class="keyword">const</span> std::function<<a class="code hl_class" href="classmlx_1_1core_1_1array.html">array</a>(<span class="keyword">const</span> <a class="code hl_class" href="classmlx_1_1core_1_1array.html">array</a>&)>& fun) {</div>
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<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span> <span class="keyword">auto</span> fn = <a class="code hl_function" href="namespacemlx_1_1core.html#abf49b337a00997231c0f7fd389efa8f3">value_and_grad</a>(fun);</div>
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<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span> <span class="keywordflow">return</span> [fn](<span class="keyword">const</span> <a class="code hl_class" href="classmlx_1_1core_1_1array.html">array</a>& input) { <span class="keywordflow">return</span> fn(input).second; };</div>
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<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span>}</div>
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</div>
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<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span> </div>
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<div class="line"><a id="l00155" name="l00155"></a><span class="lineno"><a class="line" href="namespacemlx_1_1core.html#ac3caec2fa65375ed4c3bf1206177b84c"> 155</a></span>std::function<<a class="code hl_class" href="classmlx_1_1core_1_1array.html">array</a>(<span class="keyword">const</span> <a class="code hl_class" href="classmlx_1_1core_1_1array.html">array</a>&)> <a class="code hl_function" href="namespacemlx_1_1core.html#ac3caec2fa65375ed4c3bf1206177b84c">vmap</a>(</div>
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<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"> 156</span> <span class="keyword">const</span> std::function<<a class="code hl_class" href="classmlx_1_1core_1_1array.html">array</a>(<span class="keyword">const</span> <a class="code hl_class" href="classmlx_1_1core_1_1array.html">array</a>&)>& fun,</div>
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<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span> <span class="keywordtype">int</span> in_axis = 0,</div>
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<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</span> <span class="keywordtype">int</span> out_axis = 0);</div>
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<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span> </div>
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<div class="line"><a id="l00163" name="l00163"></a><span class="lineno"><a class="line" href="namespacemlx_1_1core.html#a8481a3bb4c12c2b7dc6ba576c2be3d0d"> 163</a></span>std::function<<a class="code hl_class" href="classmlx_1_1core_1_1array.html">array</a>(<span class="keyword">const</span> <a class="code hl_class" href="classmlx_1_1core_1_1array.html">array</a>&, <span class="keyword">const</span> <a class="code hl_class" href="classmlx_1_1core_1_1array.html">array</a>&)> <a class="code hl_function" href="namespacemlx_1_1core.html#ac3caec2fa65375ed4c3bf1206177b84c">vmap</a>(</div>
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<div class="line"><a id="l00164" name="l00164"></a><span class="lineno"> 164</span> <span class="keyword">const</span> std::function<<a class="code hl_class" href="classmlx_1_1core_1_1array.html">array</a>(<span class="keyword">const</span> <a class="code hl_class" href="classmlx_1_1core_1_1array.html">array</a>&, <span class="keyword">const</span> <a class="code hl_class" href="classmlx_1_1core_1_1array.html">array</a>&)>& fun,</div>
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<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span> <span class="keywordtype">int</span> in_axis_a = 0,</div>
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<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span> <span class="keywordtype">int</span> in_axis_b = 0,</div>
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<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"> 167</span> <span class="keywordtype">int</span> out_axis = 0);</div>
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<div class="line"><a id="l00168" name="l00168"></a><span class="lineno"> 168</span> </div>
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<div class="line"><a id="l00178" name="l00178"></a><span class="lineno"><a class="line" href="namespacemlx_1_1core.html#a95a7757e8d18fced38acfc6a3e8d686a"> 178</a></span>std::function<std::vector<array>(<span class="keyword">const</span> std::vector<array>&)> <a class="code hl_function" href="namespacemlx_1_1core.html#ac3caec2fa65375ed4c3bf1206177b84c">vmap</a>(</div>
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<div class="line"><a id="l00179" name="l00179"></a><span class="lineno"> 179</span> <span class="keyword">const</span> std::function<std::vector<array>(<span class="keyword">const</span> std::vector<array>&)>& fun,</div>
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<div class="line"><a id="l00180" name="l00180"></a><span class="lineno"> 180</span> <span class="keyword">const</span> std::vector<int>& in_axes = {},</div>
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<div class="line"><a id="l00181" name="l00181"></a><span class="lineno"> 181</span> <span class="keyword">const</span> std::vector<int>& out_axes = {});</div>
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<div class="line"><a id="l00182" name="l00182"></a><span class="lineno"> 182</span> </div>
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<div class="line"><a id="l00192" name="l00192"></a><span class="lineno"><a class="line" href="namespacemlx_1_1core.html#a8d3ca5fbaecdb995660c24cde5aeebaf"> 192</a></span>std::function<std::vector<array>(<span class="keyword">const</span> std::vector<array>&)> <a class="code hl_function" href="namespacemlx_1_1core.html#a8d3ca5fbaecdb995660c24cde5aeebaf">custom_function</a>(</div>
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<div class="line"><a id="l00193" name="l00193"></a><span class="lineno"> 193</span> std::function<std::vector<array>(<span class="keyword">const</span> std::vector<array>&)> fun,</div>
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<div class="line"><a id="l00194" name="l00194"></a><span class="lineno"> 194</span> std::optional<std::function<std::vector<array>(</div>
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<div class="line"><a id="l00195" name="l00195"></a><span class="lineno"> 195</span> <span class="keyword">const</span> std::vector<array>&,</div>
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<div class="line"><a id="l00196" name="l00196"></a><span class="lineno"> 196</span> <span class="keyword">const</span> std::vector<array>&,</div>
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<div class="line"><a id="l00197" name="l00197"></a><span class="lineno"> 197</span> <span class="keyword">const</span> std::vector<array>&)>> fun_vjp = std::nullopt,</div>
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<div class="line"><a id="l00198" name="l00198"></a><span class="lineno"> 198</span> std::optional<std::function<std::vector<array>(</div>
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<div class="line"><a id="l00199" name="l00199"></a><span class="lineno"> 199</span> <span class="keyword">const</span> std::vector<array>&,</div>
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<div class="line"><a id="l00200" name="l00200"></a><span class="lineno"> 200</span> <span class="keyword">const</span> std::vector<array>&,</div>
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<div class="line"><a id="l00201" name="l00201"></a><span class="lineno"> 201</span> <span class="keyword">const</span> std::vector<int>&)>> fun_jvp = std::nullopt,</div>
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<div class="line"><a id="l00202" name="l00202"></a><span class="lineno"> 202</span> std::optional<std::function<std::pair<std::vector<array>, std::vector<int>>(</div>
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<div class="line"><a id="l00203" name="l00203"></a><span class="lineno"> 203</span> <span class="keyword">const</span> std::vector<array>&,</div>
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<div class="line"><a id="l00204" name="l00204"></a><span class="lineno"> 204</span> <span class="keyword">const</span> std::vector<int>&)>> fun_vmap = std::nullopt);</div>
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<div class="line"><a id="l00205" name="l00205"></a><span class="lineno"> 205</span> </div>
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<div class="line"><a id="l00210" name="l00210"></a><span class="lineno"><a class="line" href="namespacemlx_1_1core.html#a9290596250fa308df4c69b44483bb8aa"> 210</a></span>std::function<std::vector<array>(<span class="keyword">const</span> std::vector<array>&)> <a class="code hl_function" href="namespacemlx_1_1core.html#a9290596250fa308df4c69b44483bb8aa">custom_vjp</a>(</div>
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<div class="line"><a id="l00211" name="l00211"></a><span class="lineno"> 211</span> std::function<std::vector<array>(<span class="keyword">const</span> std::vector<array>&)> fun,</div>
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<div class="line"><a id="l00212" name="l00212"></a><span class="lineno"> 212</span> std::function<std::vector<array>(</div>
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<div class="line"><a id="l00213" name="l00213"></a><span class="lineno"> 213</span> <span class="keyword">const</span> std::vector<array>&,</div>
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<div class="line"><a id="l00214" name="l00214"></a><span class="lineno"> 214</span> <span class="keyword">const</span> std::vector<array>&,</div>
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<div class="line"><a id="l00215" name="l00215"></a><span class="lineno"> 215</span> <span class="keyword">const</span> std::vector<array>&)> fun_vjp);</div>
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<div class="line"><a id="l00216" name="l00216"></a><span class="lineno"> 216</span> </div>
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<div class="line"><a id="l00221" name="l00221"></a><span class="lineno"><a class="line" href="namespacemlx_1_1core.html#a42fa813d72c15132f76ef5fd1213ed71"> 221</a></span>std::function<std::vector<array>(<span class="keyword">const</span> std::vector<array>&)> <a class="code hl_function" href="namespacemlx_1_1core.html#a42fa813d72c15132f76ef5fd1213ed71">checkpoint</a>(</div>
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<div class="line"><a id="l00222" name="l00222"></a><span class="lineno"> 222</span> std::function<std::vector<array>(<span class="keyword">const</span> std::vector<array>&)> fun);</div>
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<div class="line"><a id="l00223" name="l00223"></a><span class="lineno"> 223</span> </div>
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<div class="line"><a id="l00224" name="l00224"></a><span class="lineno"> 224</span>} <span class="comment">// namespace mlx::core</span></div>
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<div class="ttc" id="aarray_8h_html"><div class="ttname"><a href="array_8h.html">array.h</a></div></div>
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<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:20</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_a15dda19aa7fa1fc5fca35df5cf963297"><div class="ttname"><a href="namespacemlx_1_1core.html#a15dda19aa7fa1fc5fca35df5cf963297">mlx::core::async_eval</a></div><div class="ttdeci">void async_eval(std::vector< array > outputs)</div></div>
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<div class="ttc" id="anamespacemlx_1_1core_html_a179a632200366c223d6ab56d3e032592"><div class="ttname"><a href="namespacemlx_1_1core.html#a179a632200366c223d6ab56d3e032592">mlx::core::jvp</a></div><div class="ttdeci">std::pair< std::vector< array >, std::vector< array > > jvp(const std::function< std::vector< array >(const std::vector< array > &)> &fun, const std::vector< array > &primals, const std::vector< array > &tangents)</div><div class="ttdoc">Computes the output and Jacobian-vector product (JVP) of a function.</div></div>
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<div class="ttc" id="anamespacemlx_1_1core_html_a1b33e2c2e3471420490cf0be2de6de18"><div class="ttname"><a href="namespacemlx_1_1core.html#a1b33e2c2e3471420490cf0be2de6de18">mlx::core::vjp</a></div><div class="ttdeci">std::pair< std::vector< array >, std::vector< array > > vjp(const std::function< std::vector< array >(const std::vector< array > &)> &fun, const std::vector< array > &primals, const std::vector< array > &cotangents)</div><div class="ttdoc">Computes the output and vector-Jacobian product (VJP) of a function.</div></div>
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<div class="ttc" id="anamespacemlx_1_1core_html_a2689b8f1181648cb1685204fea9f3066"><div class="ttname"><a href="namespacemlx_1_1core.html#a2689b8f1181648cb1685204fea9f3066">mlx::core::SimpleValueAndGradFn</a></div><div class="ttdeci">std::function< std::pair< array, std::vector< array > >( const std::vector< array > &)> SimpleValueAndGradFn</div><div class="ttdef"><b>Definition</b> transforms.h:66</div></div>
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<div class="ttc" id="anamespacemlx_1_1core_html_a3d2b2929ed4636e9e2b86e125b2e57d9"><div class="ttname"><a href="namespacemlx_1_1core.html#a3d2b2929ed4636e9e2b86e125b2e57d9">mlx::core::grad</a></div><div class="ttdeci">std::function< std::vector< array >(const std::vector< array > &)> grad(const std::function< array(const std::vector< array > &)> &fun, const std::vector< int > &argnums)</div><div class="ttdoc">Returns a function which computes the gradient of the input function with respect to a vector of inpu...</div><div class="ttdef"><b>Definition</b> transforms.h:122</div></div>
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<div class="ttc" id="anamespacemlx_1_1core_html_a42fa813d72c15132f76ef5fd1213ed71"><div class="ttname"><a href="namespacemlx_1_1core.html#a42fa813d72c15132f76ef5fd1213ed71">mlx::core::checkpoint</a></div><div class="ttdeci">std::function< std::vector< array >(const std::vector< array > &)> checkpoint(std::function< std::vector< array >(const std::vector< array > &)> fun)</div><div class="ttdoc">Checkpoint the gradient of a function.</div></div>
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<div class="ttc" id="anamespacemlx_1_1core_html_a7d6e097d8effed52f4713672e471f299"><div class="ttname"><a href="namespacemlx_1_1core.html#a7d6e097d8effed52f4713672e471f299">mlx::core::eval</a></div><div class="ttdeci">void eval(std::vector< array > outputs)</div></div>
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<div class="ttc" id="anamespacemlx_1_1core_html_a8d3ca5fbaecdb995660c24cde5aeebaf"><div class="ttname"><a href="namespacemlx_1_1core.html#a8d3ca5fbaecdb995660c24cde5aeebaf">mlx::core::custom_function</a></div><div class="ttdeci">std::function< std::vector< array >(const std::vector< array > &)> custom_function(std::function< std::vector< array >(const std::vector< array > &)> fun, std::optional< std::function< std::vector< array >(const std::vector< array > &, const std::vector< array > &, const std::vector< array > &)> > fun_vjp=std::nullopt, std::optional< std::function< std::vector< array >(const std::vector< array > &, const std::vector< array > &, const std::vector< int > &)> > fun_jvp=std::nullopt, std::optional< std::function< std::pair< std::vector< array >, std::vector< int > >(const std::vector< array > &, const std::vector< int > &)> > fun_vmap=std::nullopt)</div><div class="ttdoc">Redefine the transformations of fun according to the provided functions.</div></div>
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<div class="ttc" id="anamespacemlx_1_1core_html_a9290596250fa308df4c69b44483bb8aa"><div class="ttname"><a href="namespacemlx_1_1core.html#a9290596250fa308df4c69b44483bb8aa">mlx::core::custom_vjp</a></div><div class="ttdeci">std::function< std::vector< array >(const std::vector< array > &)> custom_vjp(std::function< std::vector< array >(const std::vector< array > &)> fun, std::function< std::vector< array >(const std::vector< array > &, const std::vector< array > &, const std::vector< array > &)> fun_vjp)</div><div class="ttdoc">Return a function that behaves exactly like fun but if the vjp of the results is computed fun_vjp wil...</div></div>
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<div class="ttc" id="anamespacemlx_1_1core_html_ab79d66ddf1ec38b2f2c01234892a2230"><div class="ttname"><a href="namespacemlx_1_1core.html#ab79d66ddf1ec38b2f2c01234892a2230">mlx::core::ValueAndGradFn</a></div><div class="ttdeci">std::function< std::pair< std::vector< array >, std::vector< array > >( const std::vector< array > &)> ValueAndGradFn</div><div class="ttdef"><b>Definition</b> transforms.h:63</div></div>
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<div class="ttc" id="anamespacemlx_1_1core_html_abf49b337a00997231c0f7fd389efa8f3"><div class="ttname"><a href="namespacemlx_1_1core.html#abf49b337a00997231c0f7fd389efa8f3">mlx::core::value_and_grad</a></div><div class="ttdeci">ValueAndGradFn value_and_grad(const std::function< std::vector< array >(const std::vector< array > &)> &fun, const std::vector< int > &argnums)</div><div class="ttdoc">Returns a function which computes the value and gradient of the input function with respect to a vect...</div></div>
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<div class="ttc" id="anamespacemlx_1_1core_html_ac3caec2fa65375ed4c3bf1206177b84c"><div class="ttname"><a href="namespacemlx_1_1core.html#ac3caec2fa65375ed4c3bf1206177b84c">mlx::core::vmap</a></div><div class="ttdeci">std::function< array(const array &)> vmap(const std::function< array(const array &)> &fun, int in_axis=0, int out_axis=0)</div><div class="ttdoc">Automatically vectorize a unary function over the requested axes.</div></div>
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<div class="ttc" id="anamespacemlx_1_1core_html_af89751d79339f3e4d9318ea97d64d114"><div class="ttname"><a href="namespacemlx_1_1core.html#af89751d79339f3e4d9318ea97d64d114">mlx::core::enable_for_arrays_t</a></div><div class="ttdeci">typename std::enable_if_t< is_arrays_v< T... > > enable_for_arrays_t</div><div class="ttdef"><b>Definition</b> array.h:611</div></div>
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