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Awni Hannun
2024-01-06 05:41:48 -08:00
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<h1>Conversion to NumPy and Other Frameworks</h1>
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<section id="conversion-to-numpy-and-other-frameworks">
<span id="numpy"></span><h1>Conversion to NumPy and Other Frameworks<a class="headerlink" href="#conversion-to-numpy-and-other-frameworks" title="Permalink to this heading">#</a></h1>
<p>MLX array implements the <a class="reference external" href="https://docs.python.org/3/c-api/buffer.html">Python Buffer Protocol</a>.
Lets convert an array to NumPy and back.</p>
<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="kn">import</span> <span class="nn">mlx.core</span> <span class="k">as</span> <span class="nn">mx</span>
<span class="kn">import</span> <span class="nn">numpy</span> <span class="k">as</span> <span class="nn">np</span>
<span class="n">a</span> <span class="o">=</span> <span class="n">mx</span><span class="o">.</span><span class="n">arange</span><span class="p">(</span><span class="mi">3</span><span class="p">)</span>
<span class="n">b</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">(</span><span class="n">a</span><span class="p">)</span> <span class="c1"># copy of a</span>
<span class="n">c</span> <span class="o">=</span> <span class="n">mx</span><span class="o">.</span><span class="n">array</span><span class="p">(</span><span class="n">b</span><span class="p">)</span> <span class="c1"># copy of b</span>
</pre></div>
</div>
<div class="admonition note">
<p class="admonition-title">Note</p>
<p>Since NumPy does not support <code class="docutils literal notranslate"><span class="pre">bfloat16</span></code> arrays, you will need to convert to <code class="docutils literal notranslate"><span class="pre">float16</span></code> or <code class="docutils literal notranslate"><span class="pre">float32</span></code> first:
<code class="docutils literal notranslate"><span class="pre">np.array(a.astype(mx.float32))</span></code>.
Otherwise, you will receive an error like: <code class="docutils literal notranslate"><span class="pre">Item</span> <span class="pre">size</span> <span class="pre">2</span> <span class="pre">for</span> <span class="pre">PEP</span> <span class="pre">3118</span> <span class="pre">buffer</span> <span class="pre">format</span> <span class="pre">string</span> <span class="pre">does</span> <span class="pre">not</span> <span class="pre">match</span> <span class="pre">the</span> <span class="pre">dtype</span> <span class="pre">V</span> <span class="pre">item</span> <span class="pre">size</span> <span class="pre">0.</span></code></p>
</div>
<p>By default, NumPy copies data to a new array. This can be prevented by creating an array view:</p>
<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="n">a</span> <span class="o">=</span> <span class="n">mx</span><span class="o">.</span><span class="n">arange</span><span class="p">(</span><span class="mi">3</span><span class="p">)</span>
<span class="n">a_view</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">copy</span><span class="o">=</span><span class="kc">False</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">a_view</span><span class="o">.</span><span class="n">flags</span><span class="o">.</span><span class="n">owndata</span><span class="p">)</span> <span class="c1"># False</span>
<span class="n">a_view</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="o">=</span> <span class="mi">1</span>
<span class="nb">print</span><span class="p">(</span><span class="n">a</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span><span class="o">.</span><span class="n">item</span><span class="p">())</span> <span class="c1"># 1</span>
</pre></div>
</div>
<p>A NumPy array view is a normal NumPy array, except that it does not own its memory.
This means writing to the view is reflected in the original array.</p>
<p>While this is quite powerful to prevent copying arrays, it should be noted that external changes to the memory of arrays cannot be reflected in gradients.</p>
<p>Lets demonstrate this in an example:</p>
<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="k">def</span> <span class="nf">f</span><span class="p">(</span><span class="n">x</span><span class="p">):</span>
<span class="n">x_view</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">copy</span><span class="o">=</span><span class="kc">False</span><span class="p">)</span>
<span class="n">x_view</span><span class="p">[:]</span> <span class="o">*=</span> <span class="n">x_view</span> <span class="c1"># modify memory without telling mx</span>
<span class="k">return</span> <span class="n">x</span><span class="o">.</span><span class="n">sum</span><span class="p">()</span>
<span class="n">x</span> <span class="o">=</span> <span class="n">mx</span><span class="o">.</span><span class="n">array</span><span class="p">([</span><span class="mf">3.0</span><span class="p">])</span>
<span class="n">y</span><span class="p">,</span> <span class="n">df</span> <span class="o">=</span> <span class="n">mx</span><span class="o">.</span><span class="n">value_and_grad</span><span class="p">(</span><span class="n">f</span><span class="p">)(</span><span class="n">x</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;f(x) = x² =&quot;</span><span class="p">,</span> <span class="n">y</span><span class="o">.</span><span class="n">item</span><span class="p">())</span> <span class="c1"># 9.0</span>
<span class="nb">print</span><span class="p">(</span><span class="s2">&quot;f&#39;(x) = 2x !=&quot;</span><span class="p">,</span> <span class="n">df</span><span class="o">.</span><span class="n">item</span><span class="p">())</span> <span class="c1"># 1.0</span>
</pre></div>
</div>
<p>The function <code class="docutils literal notranslate"><span class="pre">f</span></code> indirectly modifies the array <code class="docutils literal notranslate"><span class="pre">x</span></code> through a memory view.
However, this modification is not reflected in the gradient, as seen in the last line outputting <code class="docutils literal notranslate"><span class="pre">1.0</span></code>,
representing the gradient of the sum operation alone.
The squaring of <code class="docutils literal notranslate"><span class="pre">x</span></code> occurs externally to MLX, meaning that no gradient is incorporated.
Its important to note that a similar issue arises during array conversion and copying.
For instance, a function defined as <code class="docutils literal notranslate"><span class="pre">mx.array(np.array(x)**2).sum()</span></code> would also result in an incorrect gradient,
even though no in-place operations on MLX memory are executed.</p>
<section id="pytorch">
<h2>PyTorch<a class="headerlink" href="#pytorch" title="Permalink to this heading">#</a></h2>
<p>PyTorch supports the buffer protocol, but it requires an explicit <a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#memoryview" title="(in Python v3.12)"><code class="xref py py-obj docutils literal notranslate"><span class="pre">memoryview</span></code></a>.</p>
<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="kn">import</span> <span class="nn">mlx.core</span> <span class="k">as</span> <span class="nn">mx</span>
<span class="kn">import</span> <span class="nn">torch</span>
<span class="n">a</span> <span class="o">=</span> <span class="n">mx</span><span class="o">.</span><span class="n">arange</span><span class="p">(</span><span class="mi">3</span><span class="p">)</span>
<span class="n">b</span> <span class="o">=</span> <span class="n">torch</span><span class="o">.</span><span class="n">tensor</span><span class="p">(</span><span class="nb">memoryview</span><span class="p">(</span><span class="n">a</span><span class="p">))</span>
<span class="n">c</span> <span class="o">=</span> <span class="n">mx</span><span class="o">.</span><span class="n">array</span><span class="p">(</span><span class="n">b</span><span class="o">.</span><span class="n">numpy</span><span class="p">())</span>
</pre></div>
</div>
<p>Conversion from PyTorch tensors back to arrays must be done via intermediate NumPy arrays with <code class="docutils literal notranslate"><span class="pre">numpy()</span></code>.</p>
</section>
<section id="jax">
<h2>JAX<a class="headerlink" href="#jax" title="Permalink to this heading">#</a></h2>
<p>JAX fully supports the buffer protocol.</p>
<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="kn">import</span> <span class="nn">mlx.core</span> <span class="k">as</span> <span class="nn">mx</span>
<span class="kn">import</span> <span class="nn">jax.numpy</span> <span class="k">as</span> <span class="nn">jnp</span>
<span class="n">a</span> <span class="o">=</span> <span class="n">mx</span><span class="o">.</span><span class="n">arange</span><span class="p">(</span><span class="mi">3</span><span class="p">)</span>
<span class="n">b</span> <span class="o">=</span> <span class="n">jnp</span><span class="o">.</span><span class="n">array</span><span class="p">(</span><span class="n">a</span><span class="p">)</span>
<span class="n">c</span> <span class="o">=</span> <span class="n">mx</span><span class="o">.</span><span class="n">array</span><span class="p">(</span><span class="n">b</span><span class="p">)</span>
</pre></div>
</div>
</section>
<section id="tensorflow">
<h2>TensorFlow<a class="headerlink" href="#tensorflow" title="Permalink to this heading">#</a></h2>
<p>TensorFlow supports the buffer protocol, but it requires an explicit <a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#memoryview" title="(in Python v3.12)"><code class="xref py py-obj docutils literal notranslate"><span class="pre">memoryview</span></code></a>.</p>
<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="kn">import</span> <span class="nn">mlx.core</span> <span class="k">as</span> <span class="nn">mx</span>
<span class="kn">import</span> <span class="nn">tensorflow</span> <span class="k">as</span> <span class="nn">tf</span>
<span class="n">a</span> <span class="o">=</span> <span class="n">mx</span><span class="o">.</span><span class="n">arange</span><span class="p">(</span><span class="mi">3</span><span class="p">)</span>
<span class="n">b</span> <span class="o">=</span> <span class="n">tf</span><span class="o">.</span><span class="n">constant</span><span class="p">(</span><span class="nb">memoryview</span><span class="p">(</span><span class="n">a</span><span class="p">))</span>
<span class="n">c</span> <span class="o">=</span> <span class="n">mx</span><span class="o">.</span><span class="n">array</span><span class="p">(</span><span class="n">b</span><span class="p">)</span>
</pre></div>
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<h1>Quick Start Guide</h1>
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<li class="toc-h2 nav-item toc-entry"><a class="reference internal nav-link" href="#basics">Basics</a></li>
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<section id="quick-start-guide">
<h1>Quick Start Guide<a class="headerlink" href="#quick-start-guide" title="Permalink to this heading">#</a></h1>
<section id="basics">
<h2>Basics<a class="headerlink" href="#basics" title="Permalink to this heading">#</a></h2>
<p>Import <code class="docutils literal notranslate"><span class="pre">mlx.core</span></code> and make an <a class="reference internal" href="../python/_autosummary/mlx.core.array.html#mlx.core.array" title="mlx.core.array"><code class="xref py py-class docutils literal notranslate"><span class="pre">array</span></code></a>:</p>
<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="o">&gt;&gt;</span> <span class="kn">import</span> <span class="nn">mlx.core</span> <span class="k">as</span> <span class="nn">mx</span>
<span class="o">&gt;&gt;</span> <span class="n">a</span> <span class="o">=</span> <span class="n">mx</span><span class="o">.</span><span class="n">array</span><span class="p">([</span><span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">3</span><span class="p">,</span> <span class="mi">4</span><span class="p">])</span>
<span class="o">&gt;&gt;</span> <span class="n">a</span><span class="o">.</span><span class="n">shape</span>
<span class="p">[</span><span class="mi">4</span><span class="p">]</span>
<span class="o">&gt;&gt;</span> <span class="n">a</span><span class="o">.</span><span class="n">dtype</span>
<span class="n">int32</span>
<span class="o">&gt;&gt;</span> <span class="n">b</span> <span class="o">=</span> <span class="n">mx</span><span class="o">.</span><span class="n">array</span><span class="p">([</span><span class="mf">1.0</span><span class="p">,</span> <span class="mf">2.0</span><span class="p">,</span> <span class="mf">3.0</span><span class="p">,</span> <span class="mf">4.0</span><span class="p">])</span>
<span class="o">&gt;&gt;</span> <span class="n">b</span><span class="o">.</span><span class="n">dtype</span>
<span class="n">float32</span>
</pre></div>
</div>
<p>Operations in MLX are lazy. The outputs of MLX operations are not computed
until they are needed. To force an array to be evaluated use
<a class="reference internal" href="../python/_autosummary/mlx.core.eval.html#mlx.core.eval" title="mlx.core.eval"><code class="xref py py-func docutils literal notranslate"><span class="pre">eval()</span></code></a>. Arrays will automatically be evaluated in a few cases. For
example, inspecting a scalar with <a class="reference internal" href="../python/_autosummary/mlx.core.array.item.html#mlx.core.array.item" title="mlx.core.array.item"><code class="xref py py-meth docutils literal notranslate"><span class="pre">array.item()</span></code></a>, printing an array,
or converting an array from <a class="reference internal" href="../python/_autosummary/mlx.core.array.html#mlx.core.array" title="mlx.core.array"><code class="xref py py-class docutils literal notranslate"><span class="pre">array</span></code></a> to <a class="reference external" href="https://numpy.org/doc/stable/reference/generated/numpy.ndarray.html#numpy.ndarray" title="(in NumPy v1.26)"><code class="xref py py-class docutils literal notranslate"><span class="pre">numpy.ndarray</span></code></a> all
automatically evaluate the array.</p>
<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="o">&gt;&gt;</span> <span class="n">c</span> <span class="o">=</span> <span class="n">a</span> <span class="o">+</span> <span class="n">b</span> <span class="c1"># c not yet evaluated</span>
<span class="o">&gt;&gt;</span> <span class="n">mx</span><span class="o">.</span><span class="n">eval</span><span class="p">(</span><span class="n">c</span><span class="p">)</span> <span class="c1"># evaluates c</span>
<span class="o">&gt;&gt;</span> <span class="n">c</span> <span class="o">=</span> <span class="n">a</span> <span class="o">+</span> <span class="n">b</span>
<span class="o">&gt;&gt;</span> <span class="nb">print</span><span class="p">(</span><span class="n">c</span><span class="p">)</span> <span class="c1"># Also evaluates c</span>
<span class="n">array</span><span class="p">([</span><span class="mi">2</span><span class="p">,</span> <span class="mi">4</span><span class="p">,</span> <span class="mi">6</span><span class="p">,</span> <span class="mi">8</span><span class="p">],</span> <span class="n">dtype</span><span class="o">=</span><span class="n">float32</span><span class="p">)</span>
<span class="o">&gt;&gt;</span> <span class="n">c</span> <span class="o">=</span> <span class="n">a</span> <span class="o">+</span> <span class="n">b</span>
<span class="o">&gt;&gt;</span> <span class="kn">import</span> <span class="nn">numpy</span> <span class="k">as</span> <span class="nn">np</span>
<span class="o">&gt;&gt;</span> <span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">(</span><span class="n">c</span><span class="p">)</span> <span class="c1"># Also evaluates c</span>
<span class="n">array</span><span class="p">([</span><span class="mf">2.</span><span class="p">,</span> <span class="mf">4.</span><span class="p">,</span> <span class="mf">6.</span><span class="p">,</span> <span class="mf">8.</span><span class="p">],</span> <span class="n">dtype</span><span class="o">=</span><span class="n">float32</span><span class="p">)</span>
</pre></div>
</div>
</section>
<section id="function-and-graph-transformations">
<h2>Function and Graph Transformations<a class="headerlink" href="#function-and-graph-transformations" title="Permalink to this heading">#</a></h2>
<p>MLX has standard function transformations like <a class="reference internal" href="../python/_autosummary/mlx.core.grad.html#mlx.core.grad" title="mlx.core.grad"><code class="xref py py-func docutils literal notranslate"><span class="pre">grad()</span></code></a> and <a class="reference internal" href="../python/_autosummary/mlx.core.vmap.html#mlx.core.vmap" title="mlx.core.vmap"><code class="xref py py-func docutils literal notranslate"><span class="pre">vmap()</span></code></a>.
Transformations can be composed arbitrarily. For example
<code class="docutils literal notranslate"><span class="pre">grad(vmap(grad(fn)))</span></code> (or any other composition) is allowed.</p>
<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="o">&gt;&gt;</span> <span class="n">x</span> <span class="o">=</span> <span class="n">mx</span><span class="o">.</span><span class="n">array</span><span class="p">(</span><span class="mf">0.0</span><span class="p">)</span>
<span class="o">&gt;&gt;</span> <span class="n">mx</span><span class="o">.</span><span class="n">sin</span><span class="p">(</span><span class="n">x</span><span class="p">)</span>
<span class="n">array</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="n">dtype</span><span class="o">=</span><span class="n">float32</span><span class="p">)</span>
<span class="o">&gt;&gt;</span> <span class="n">mx</span><span class="o">.</span><span class="n">grad</span><span class="p">(</span><span class="n">mx</span><span class="o">.</span><span class="n">sin</span><span class="p">)(</span><span class="n">x</span><span class="p">)</span>
<span class="n">array</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="n">dtype</span><span class="o">=</span><span class="n">float32</span><span class="p">)</span>
<span class="o">&gt;&gt;</span> <span class="n">mx</span><span class="o">.</span><span class="n">grad</span><span class="p">(</span><span class="n">mx</span><span class="o">.</span><span class="n">grad</span><span class="p">(</span><span class="n">mx</span><span class="o">.</span><span class="n">sin</span><span class="p">))(</span><span class="n">x</span><span class="p">)</span>
<span class="n">array</span><span class="p">(</span><span class="o">-</span><span class="mi">0</span><span class="p">,</span> <span class="n">dtype</span><span class="o">=</span><span class="n">float32</span><span class="p">)</span>
</pre></div>
</div>
<p>Other gradient transformations include <a class="reference internal" href="../python/_autosummary/mlx.core.vjp.html#mlx.core.vjp" title="mlx.core.vjp"><code class="xref py py-func docutils literal notranslate"><span class="pre">vjp()</span></code></a> for vector-Jacobian products
and <a class="reference internal" href="../python/_autosummary/mlx.core.jvp.html#mlx.core.jvp" title="mlx.core.jvp"><code class="xref py py-func docutils literal notranslate"><span class="pre">jvp()</span></code></a> for Jacobian-vector products.</p>
<p>Use <a class="reference internal" href="../python/_autosummary/mlx.core.value_and_grad.html#mlx.core.value_and_grad" title="mlx.core.value_and_grad"><code class="xref py py-func docutils literal notranslate"><span class="pre">value_and_grad()</span></code></a> to efficiently compute both a functions output and
gradient with respect to the functions input.</p>
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<h1>Unified Memory</h1>
<!-- Table of contents -->
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<h2> Contents </h2>
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<li class="toc-h2 nav-item toc-entry"><a class="reference internal nav-link" href="#a-simple-example">A Simple Example</a></li>
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<section id="unified-memory">
<span id="id1"></span><h1>Unified Memory<a class="headerlink" href="#unified-memory" title="Permalink to this heading">#</a></h1>
<p>Apple silicon has a unified memory architecture. The CPU and GPU have direct
access to the same memory pool. MLX is designed to take advantage of that.</p>
<p>Concretely, when you make an array in MLX you dont have to specify its location:</p>
<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="n">a</span> <span class="o">=</span> <span class="n">mx</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">normal</span><span class="p">((</span><span class="mi">100</span><span class="p">,))</span>
<span class="n">b</span> <span class="o">=</span> <span class="n">mx</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">normal</span><span class="p">((</span><span class="mi">100</span><span class="p">,))</span>
</pre></div>
</div>
<p>Both <code class="docutils literal notranslate"><span class="pre">a</span></code> and <code class="docutils literal notranslate"><span class="pre">b</span></code> live in unified memory.</p>
<p>In MLX, rather than moving arrays to devices, you specify the device when you
run the operation. Any device can perform any operation on <code class="docutils literal notranslate"><span class="pre">a</span></code> and <code class="docutils literal notranslate"><span class="pre">b</span></code>
without needing to move them from one memory location to another. For example:</p>
<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="n">mx</span><span class="o">.</span><span class="n">add</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">,</span> <span class="n">stream</span><span class="o">=</span><span class="n">mx</span><span class="o">.</span><span class="n">cpu</span><span class="p">)</span>
<span class="n">mx</span><span class="o">.</span><span class="n">add</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">,</span> <span class="n">stream</span><span class="o">=</span><span class="n">mx</span><span class="o">.</span><span class="n">gpu</span><span class="p">)</span>
</pre></div>
</div>
<p>In the above, both the CPU and the GPU will perform the same add
operation. The operations can (and likely will) be run in parallel since
there are no dependencies between them. See <a class="reference internal" href="using_streams.html#using-streams"><span class="std std-ref">Using Streams</span></a> for more
information the semantics of streams in MLX.</p>
<p>In the above <code class="docutils literal notranslate"><span class="pre">add</span></code> example, there are no dependencies between operations, so
there is no possibility for race conditions. If there are dependencies, the
MLX scheduler will automatically manage them. For example:</p>
<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="n">c</span> <span class="o">=</span> <span class="n">mx</span><span class="o">.</span><span class="n">add</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">,</span> <span class="n">stream</span><span class="o">=</span><span class="n">mx</span><span class="o">.</span><span class="n">cpu</span><span class="p">)</span>
<span class="n">d</span> <span class="o">=</span> <span class="n">mx</span><span class="o">.</span><span class="n">add</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">c</span><span class="p">,</span> <span class="n">stream</span><span class="o">=</span><span class="n">mx</span><span class="o">.</span><span class="n">gpu</span><span class="p">)</span>
</pre></div>
</div>
<p>In the above case, the second <code class="docutils literal notranslate"><span class="pre">add</span></code> runs on the GPU but it depends on the
output of the first <code class="docutils literal notranslate"><span class="pre">add</span></code> which is running on the CPU. MLX will
automatically insert a dependency between the two streams so that the second
<code class="docutils literal notranslate"><span class="pre">add</span></code> only starts executing after the first is complete and <code class="docutils literal notranslate"><span class="pre">c</span></code> is
available.</p>
<section id="a-simple-example">
<h2>A Simple Example<a class="headerlink" href="#a-simple-example" title="Permalink to this heading">#</a></h2>
<p>Here is a more interesting (albeit slightly contrived example) of how unified
memory can be helpful. Suppose we have the following computation:</p>
<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="k">def</span> <span class="nf">fun</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">,</span> <span class="n">d1</span><span class="p">,</span> <span class="n">d2</span><span class="p">):</span>
<span class="n">x</span> <span class="o">=</span> <span class="n">mx</span><span class="o">.</span><span class="n">matmul</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">,</span> <span class="n">stream</span><span class="o">=</span><span class="n">d1</span><span class="p">)</span>
<span class="k">for</span> <span class="n">_</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">500</span><span class="p">):</span>
<span class="n">b</span> <span class="o">=</span> <span class="n">mx</span><span class="o">.</span><span class="n">exp</span><span class="p">(</span><span class="n">b</span><span class="p">,</span> <span class="n">stream</span><span class="o">=</span><span class="n">d2</span><span class="p">)</span>
<span class="k">return</span> <span class="n">x</span><span class="p">,</span> <span class="n">b</span>
</pre></div>
</div>
<p>which we want to run with the following arguments:</p>
<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="n">a</span> <span class="o">=</span> <span class="n">mx</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">uniform</span><span class="p">(</span><span class="n">shape</span><span class="o">=</span><span class="p">(</span><span class="mi">4096</span><span class="p">,</span> <span class="mi">512</span><span class="p">))</span>
<span class="n">b</span> <span class="o">=</span> <span class="n">mx</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">uniform</span><span class="p">(</span><span class="n">shape</span><span class="o">=</span><span class="p">(</span><span class="mi">512</span><span class="p">,</span> <span class="mi">4</span><span class="p">))</span>
</pre></div>
</div>
<p>The first <code class="docutils literal notranslate"><span class="pre">matmul</span></code> operation is a good fit for the GPU since its more
compute dense. The second sequence of operations are a better fit for the CPU,
since they are very small and would probably be overhead bound on the GPU.</p>
<p>If we time the computation fully on the GPU, we get 2.8 milliseconds. But if we
run the computation with <code class="docutils literal notranslate"><span class="pre">d1=mx.gpu</span></code> and <code class="docutils literal notranslate"><span class="pre">d2=mx.cpu</span></code>, then the time is only
about 1.4 milliseconds, about twice as fast. These times were measured on an M1
Max.</p>
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<h1>Using Streams</h1>
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<li class="toc-h2 nav-item toc-entry"><a class="reference internal nav-link" href="#specifying-the-stream">Specifying the <code class="xref py py-obj docutils literal notranslate"><span class="pre">Stream</span></code></a></li>
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<span id="id1"></span><h1>Using Streams<a class="headerlink" href="#using-streams" title="Permalink to this heading">#</a></h1>
<section id="specifying-the-stream">
<h2>Specifying the <a class="reference internal" href="../python/_autosummary/mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><code class="xref py py-obj docutils literal notranslate"><span class="pre">Stream</span></code></a><a class="headerlink" href="#specifying-the-stream" title="Permalink to this heading">#</a></h2>
<p>All operations (including random number generation) take an optional
keyword argument <code class="docutils literal notranslate"><span class="pre">stream</span></code>. The <code class="docutils literal notranslate"><span class="pre">stream</span></code> kwarg specifies which
<a class="reference internal" href="../python/_autosummary/mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><code class="xref py py-obj docutils literal notranslate"><span class="pre">Stream</span></code></a> the operation should run on. If the stream is unspecified then
the operation is run on the default stream of the default device:
<code class="docutils literal notranslate"><span class="pre">mx.default_stream(mx.default_device())</span></code>. The <code class="docutils literal notranslate"><span class="pre">stream</span></code> kwarg can also
be a <a class="reference internal" href="../python/_autosummary/mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><code class="xref py py-obj docutils literal notranslate"><span class="pre">Device</span></code></a> (e.g. <code class="docutils literal notranslate"><span class="pre">stream=my_device</span></code>) in which case the operation is
run on the default stream of the provided device
<code class="docutils literal notranslate"><span class="pre">mx.default_stream(my_device)</span></code>.</p>
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