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Developer Documentation
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=======================
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MLX provides a open and flexible backend to which users may add operations
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and specialized implementations without much hassle. While the library supplies
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efficient operations that can be used and composed for any number of
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applications, there may arise cases where new functionalities or highly
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optimized implementations are needed. For such cases, you may design and
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implement your own operations that link to and build on top of :mod:`mlx.core`.
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We will introduce the inner-workings of MLX and go over a simple example to
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learn the steps involved in adding new operations to MLX with your own CPU
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and GPU implementations.
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You can extend MLX with custom operations on the CPU or GPU. This guide
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explains how to do that with a simple example.
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Introducing the Example
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-----------------------
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Let's say that you would like an operation that takes in two arrays,
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``x`` and ``y``, scales them both by some coefficients ``alpha`` and ``beta``
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respectively, and then adds them together to get the result
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``z = alpha * x + beta * y``. Well, you can very easily do that by just
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writing out a function as follows:
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Let's say you would like an operation that takes in two arrays, ``x`` and
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``y``, scales them both by coefficients ``alpha`` and ``beta`` respectively,
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and then adds them together to get the result ``z = alpha * x + beta * y``.
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You can do that in MLX directly:
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.. code-block:: python
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@@ -27,44 +19,35 @@ writing out a function as follows:
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def simple_axpby(x: mx.array, y: mx.array, alpha: float, beta: float) -> mx.array:
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return alpha * x + beta * y
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This function performs that operation while leaving the implementations and
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differentiation to MLX.
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This function performs that operation while leaving the implementation and
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function transformations to MLX.
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However, you work with vector math libraries often and realize that the
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``axpby`` routine defines the same operation ``Y = (alpha * X) + (beta * Y)``.
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You would really like the part of your applications that does this operation
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on the CPU to be very fast - so you decide that you want it to rely on the
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``axpby`` routine provided by the Accelerate_ framework. Continuing to impose
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our assumptions on to you, let's also assume that you want to learn how to add
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your own implementation for the gradients of your new operation while going
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over the ins-and-outs of the MLX framework.
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However you may need to customize the underlying implementation, perhaps to
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make it faster or for custom differentiation. In this tutorial we will go
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through adding custom extensions. It will cover:
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Well, what a coincidence! You are in the right place. Over the course of this
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example, we will learn:
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* The structure of the MLX library from the frontend API to the backend implementations.
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* How to implement your own CPU backend that redirects to Accelerate_ when appropriate (and a fallback if needed).
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* How to implement your own GPU implementation using metal.
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* How to add your own ``vjp`` and ``jvp``.
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* How to build your implementations, link them to MLX, and bind them to python.
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* The structure of the MLX library.
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* Implementing a CPU operation that redirects to Accelerate_ when appropriate.
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* Implementing a GPU operation using metal.
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* Adding the ``vjp`` and ``jvp`` function transformation.
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* Building a custom extension and binding it to python.
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Operations and Primitives
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-------------------------
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In one sentence, operations in MLX build the computation graph, and primitives
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provide the rules for evaluation and transformations of said graph. Let's start
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by discussing operations in more detail.
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Operations in MLX build the computation graph. Primitives provide the rules for
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evaluating and transforming the graph. Let's start by discussing operations in
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more detail.
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Operations
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^^^^^^^^^^^
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Operations are the frontend functions that operate on arrays. They are defined
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in the C++ API (:ref:`cpp_ops`) and then we provide bindings to these
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operations in the Python API (:ref:`ops`).
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Operations are the front-end functions that operate on arrays. They are defined
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in the C++ API (:ref:`cpp_ops`), and the Python API (:ref:`ops`) binds them.
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We would like an operation, :meth:`axpby` that takes in two arrays ``x`` and ``y``,
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and two scalars, ``alpha`` and ``beta``. This is how we would define it in the
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C++ API:
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We would like an operation, :meth:`axpby` that takes in two arrays ``x`` and
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``y``, and two scalars, ``alpha`` and ``beta``. This is how to define it in
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C++:
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.. code-block:: C++
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@@ -83,10 +66,7 @@ C++ API:
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StreamOrDevice s = {} // Stream on which to schedule the operation
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);
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This operation itself can call other operations within it if needed. So, the
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simplest way to go about implementing this operation would be do so in terms
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of existing operations.
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The simplest way to this operation is in terms of existing operations:
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.. code-block:: C++
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@@ -100,25 +80,23 @@ of existing operations.
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// Scale x and y on the provided stream
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auto ax = multiply(array(alpha), x, s);
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auto by = multiply(array(beta), y, s);
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// Add and return
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return add(ax, by, s);
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}
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However, as we discussed earlier, this is not our goal. The operations themselves
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do not contain the implementations that act on the data, nor do they contain the
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rules of transformations. Rather, they are an easy to use interface that build
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on top of the building blocks we call :class:`Primitive`.
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The operations themselves do not contain the implementations that act on the
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data, nor do they contain the rules of transformations. Rather, they are an
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easy to use interface that use :class:`Primitive` building blocks.
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Primitives
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^^^^^^^^^^^
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A :class:`Primitive` is part of the computation graph of an :class:`array`. It
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defines how to create an output given a set of input :class:`array` . Further,
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a :class:`Primitive` is a class that contains rules on how it is evaluated
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on the CPU or GPU, and how it acts under transformations such as ``vjp`` and
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``jvp``. These words on their own can be a bit abstract, so lets take a step
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back and go to our example to give ourselves a more concrete image.
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A :class:`Primitive` is part of the computation graph of an :class:`array`. It
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defines how to create outputs arrays given a input arrays. Further, a
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:class:`Primitive` has methods to run on the CPU or GPU and for function
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transformations such as ``vjp`` and ``jvp``. Lets go back to our example to be
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more concrete:
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.. code-block:: C++
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@@ -134,11 +112,15 @@ back and go to our example to give ourselves a more concrete image.
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* To avoid unnecessary allocations, the evaluation function
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* is responsible for allocating space for the array.
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*/
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void eval_cpu(const std::vector<array>& inputs, array& out) override;
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void eval_gpu(const std::vector<array>& inputs, array& out) override;
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void eval_cpu(
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const std::vector<array>& inputs,
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std::vector<array>& outputs) override;
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void eval_gpu(
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const std::vector<array>& inputs,
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std::vector<array>& outputs) override;
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/** The Jacobian-vector product. */
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array jvp(
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std::vector<array> jvp(
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const std::vector<array>& primals,
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const std::vector<array>& tangents,
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const std::vector<int>& argnums) override;
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@@ -147,7 +129,8 @@ back and go to our example to give ourselves a more concrete image.
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std::vector<array> vjp(
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const std::vector<array>& primals,
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const array& cotan,
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const std::vector<int>& argnums) override;
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const std::vector<int>& argnums,
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const std::vector<array>& outputs) override;
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/**
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* The primitive must know how to vectorize itself across
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@@ -155,7 +138,7 @@ back and go to our example to give ourselves a more concrete image.
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* representing the vectorized computation and the axis which
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* corresponds to the output vectorized dimension.
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*/
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std::pair<array, int> vmap(
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virtual std::pair<std::vector<array>, std::vector<int>> vmap(
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const std::vector<array>& inputs,
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const std::vector<int>& axes) override;
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@@ -175,22 +158,22 @@ back and go to our example to give ourselves a more concrete image.
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void eval(const std::vector<array>& inputs, array& out);
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};
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The :class:`Axpby` class derives from the base :class:`Primitive` class and
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follows the above demonstrated interface. :class:`Axpby` treats ``alpha`` and
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``beta`` as parameters. It then provides implementations of how the array ``out``
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is produced given ``inputs`` through :meth:`Axpby::eval_cpu` and
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:meth:`Axpby::eval_gpu`. Further, it provides rules of transformations in
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:meth:`Axpby::jvp`, :meth:`Axpby::vjp`, and :meth:`Axpby::vmap`.
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The :class:`Axpby` class derives from the base :class:`Primitive` class. The
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:class:`Axpby` treats ``alpha`` and ``beta`` as parameters. It then provides
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implementations of how the output array is produced given the inputs through
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:meth:`Axpby::eval_cpu` and :meth:`Axpby::eval_gpu`. It also provides rules
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of transformations in :meth:`Axpby::jvp`, :meth:`Axpby::vjp`, and
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:meth:`Axpby::vmap`.
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Using the Primitives
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^^^^^^^^^^^^^^^^^^^^^
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Using the Primitive
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^^^^^^^^^^^^^^^^^^^
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Operations can use this :class:`Primitive` to add a new :class:`array` to
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the computation graph. An :class:`array` can be constructed by providing its
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data type, shape, the :class:`Primitive` that computes it, and the
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:class:`array` inputs that are passed to the primitive.
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Operations can use this :class:`Primitive` to add a new :class:`array` to the
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computation graph. An :class:`array` can be constructed by providing its data
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type, shape, the :class:`Primitive` that computes it, and the :class:`array`
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inputs that are passed to the primitive.
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Let's re-implement our operation now in terms of our :class:`Axpby` primitive.
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Let's reimplement our operation now in terms of our :class:`Axpby` primitive.
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.. code-block:: C++
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@@ -238,27 +221,26 @@ This operation now handles the following:
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Implementing the Primitive
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--------------------------
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No computation happens when we call the operation alone. In effect, the
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operation only builds the computation graph. When we evaluate the output
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array, MLX schedules the execution of the computation graph, and calls
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:meth:`Axpby::eval_cpu` or :meth:`Axpby::eval_gpu` depending on the
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stream/device specified by the user.
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No computation happens when we call the operation alone. The operation only
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builds the computation graph. When we evaluate the output array, MLX schedules
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the execution of the computation graph, and calls :meth:`Axpby::eval_cpu` or
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:meth:`Axpby::eval_gpu` depending on the stream/device specified by the user.
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.. warning::
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When :meth:`Primitive::eval_cpu` or :meth:`Primitive::eval_gpu` are called,
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no memory has been allocated for the output array. It falls on the implementation
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of these functions to allocate memory as needed
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of these functions to allocate memory as needed.
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Implementing the CPU Backend
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Implementing the CPU Back-end
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^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
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Let's start by trying to implement a naive and generic version of
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:meth:`Axpby::eval_cpu`. We declared this as a private member function of
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:class:`Axpby` earlier called :meth:`Axpby::eval`.
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Let's start by implementing a naive and generic version of
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:meth:`Axpby::eval_cpu`. We declared this as a private member function of
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:class:`Axpby` earlier called :meth:`Axpby::eval`.
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Our naive method will go over each element of the output array, find the
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corresponding input elements of ``x`` and ``y`` and perform the operation
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pointwise. This is captured in the templated function :meth:`axpby_impl`.
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Our naive method will go over each element of the output array, find the
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corresponding input elements of ``x`` and ``y`` and perform the operation
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point-wise. This is captured in the templated function :meth:`axpby_impl`.
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.. code-block:: C++
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@@ -296,19 +278,19 @@ pointwise. This is captured in the templated function :meth:`axpby_impl`.
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}
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}
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Now, we would like our implementation to be able to do this pointwise operation
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for all incoming floating point arrays. Accordingly, we add dispatches for
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``float32``, ``float16``, ``bfloat16`` and ``complex64``. We throw an error
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if we encounter an unexpected type.
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Our implementation should work for all incoming floating point arrays.
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Accordingly, we add dispatches for ``float32``, ``float16``, ``bfloat16`` and
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``complex64``. We throw an error if we encounter an unexpected type.
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.. code-block:: C++
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/** Fall back implementation for evaluation on CPU */
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void Axpby::eval(const std::vector<array>& inputs, array& out) {
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// Check the inputs (registered in the op while constructing the out array)
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assert(inputs.size() == 2);
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void Axpby::eval(
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const std::vector<array>& inputs,
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const std::vector<array>& outputs) {
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auto& x = inputs[0];
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auto& y = inputs[1];
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auto& out = outputs[0];
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// Dispatch to the correct dtype
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if (out.dtype() == float32) {
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@@ -321,28 +303,26 @@ if we encounter an unexpected type.
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return axpby_impl<complex64_t>(x, y, out, alpha_, beta_);
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} else {
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throw std::runtime_error(
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"Axpby is only supported for floating point types.");
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"[Axpby] Only supports floating point types.");
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}
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}
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We have a fallback implementation! Now, to do what we are really here to do.
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Remember we wanted to use the ``axpby`` routine provided by the Accelerate_
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framework? Well, there are 3 complications to keep in mind:
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This is good as a fallback implementation. We can use the ``axpby`` routine
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provided by the Accelerate_ framework for a faster implementation in certain
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cases:
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|
|
|
|
|
#. Accelerate does not provide implementations of ``axpby`` for half precision
|
|
|
|
|
floats. We can only direct to it for ``float32`` types
|
|
|
|
|
#. Accelerate assumes the inputs ``x`` and ``y`` are contiguous and all elements
|
|
|
|
|
have fixed strides between them. Possibly due to broadcasts and transposes,
|
|
|
|
|
we aren't guaranteed that the inputs fit this requirement. We can
|
|
|
|
|
only direct to Accelerate if both ``x`` and ``y`` are row contiguous or
|
|
|
|
|
column contiguous.
|
|
|
|
|
#. Accelerate performs the routine ``Y = (alpha * X) + (beta * Y)`` inplace.
|
|
|
|
|
MLX expects to write out the answer to a new array. We must copy the elements
|
|
|
|
|
of ``y`` into the output array and use that as an input to ``axpby``
|
|
|
|
|
floats. We can only use it for ``float32`` types.
|
|
|
|
|
#. Accelerate assumes the inputs ``x`` and ``y`` are contiguous and all
|
|
|
|
|
elements have fixed strides between them. We only direct to Accelerate
|
|
|
|
|
if both ``x`` and ``y`` are row contiguous or column contiguous.
|
|
|
|
|
#. Accelerate performs the routine ``Y = (alpha * X) + (beta * Y)`` in-place.
|
|
|
|
|
MLX expects to write the output to a new array. We must copy the elements
|
|
|
|
|
of ``y`` into the output and use that as an input to ``axpby``.
|
|
|
|
|
|
|
|
|
|
Let's write out an implementation that uses Accelerate in the right conditions.
|
|
|
|
|
It must simply allocate data for the output, copy elements of ``y`` into it,
|
|
|
|
|
and then call the :meth:`catlas_saxpby` from accelerate.
|
|
|
|
|
Let's write an implementation that uses Accelerate in the right conditions.
|
|
|
|
|
It allocates data for the output, copies ``y`` into it, and then calls the
|
|
|
|
|
:func:`catlas_saxpby` from accelerate.
|
|
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|
|
|
|
|
|
|
.. code-block:: C++
|
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|
|
|
|
|
|
@@ -356,17 +336,7 @@ and then call the :meth:`catlas_saxpby` from accelerate.
|
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|
// Accelerate library provides catlas_saxpby which does
|
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|
|
// Y = (alpha * X) + (beta * Y) in place
|
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|
|
|
// To use it, we first copy the data in y over to the output array
|
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|
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|
// This specialization requires both x and y be contiguous in the same mode
|
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|
|
// i.e: corresponding linear indices in both point to corresponding elements
|
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|
|
// The data in the output array is allocated to match the strides in y
|
|
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|
|
// such that x, y, and out are contiguous in the same mode and
|
|
|
|
|
// no transposition is needed
|
|
|
|
|
out.set_data(
|
|
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|
|
allocator::malloc_or_wait(y.data_size() * out.itemsize()),
|
|
|
|
|
y.data_size(),
|
|
|
|
|
y.strides(),
|
|
|
|
|
y.flags());
|
|
|
|
|
out.set_data(allocator::malloc_or_wait(out.nbytes()));
|
|
|
|
|
|
|
|
|
|
// We then copy over the elements using the contiguous vector specialization
|
|
|
|
|
copy_inplace(y, out, CopyType::Vector);
|
|
|
|
@@ -389,18 +359,20 @@ and then call the :meth:`catlas_saxpby` from accelerate.
|
|
|
|
|
/* INCY = */ 1);
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
Great! But what about the inputs that do not fit the criteria for accelerate?
|
|
|
|
|
Luckily, we can always just direct back to :meth:`Axpby::eval`.
|
|
|
|
|
|
|
|
|
|
With this in mind, lets finally implement our :meth:`Axpby::eval_cpu`.
|
|
|
|
|
For inputs that do not fit the criteria for accelerate, we fall back to
|
|
|
|
|
:meth:`Axpby::eval`. With this in mind, let's finish our
|
|
|
|
|
:meth:`Axpby::eval_cpu`.
|
|
|
|
|
|
|
|
|
|
.. code-block:: C++
|
|
|
|
|
|
|
|
|
|
/** Evaluate primitive on CPU using accelerate specializations */
|
|
|
|
|
void Axpby::eval_cpu(const std::vector<array>& inputs, array& out) {
|
|
|
|
|
void Axpby::eval_cpu(
|
|
|
|
|
const std::vector<array>& inputs,
|
|
|
|
|
const std::vector<array>& outputs) {
|
|
|
|
|
assert(inputs.size() == 2);
|
|
|
|
|
auto& x = inputs[0];
|
|
|
|
|
auto& y = inputs[1];
|
|
|
|
|
auto& out = outputs[0];
|
|
|
|
|
|
|
|
|
|
// Accelerate specialization for contiguous single precision float arrays
|
|
|
|
|
if (out.dtype() == float32 &&
|
|
|
|
@@ -410,35 +382,33 @@ With this in mind, lets finally implement our :meth:`Axpby::eval_cpu`.
|
|
|
|
|
return;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
// Fall back to common backend if specializations are not available
|
|
|
|
|
eval(inputs, out);
|
|
|
|
|
// Fall back to common back-end if specializations are not available
|
|
|
|
|
eval(inputs, outputs);
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
We have now hit a milestone! Just this much is enough to run the operation
|
|
|
|
|
:meth:`axpby` on a CPU stream!
|
|
|
|
|
Just this much is enough to run the operation :meth:`axpby` on a CPU stream! If
|
|
|
|
|
you do not plan on running the operation on the GPU or using transforms on
|
|
|
|
|
computation graphs that contain :class:`Axpby`, you can stop implementing the
|
|
|
|
|
primitive here and enjoy the speed-ups you get from the Accelerate library.
|
|
|
|
|
|
|
|
|
|
If you do not plan on running the operation on the GPU or using transforms on
|
|
|
|
|
computation graphs that contain :class:`Axpby`, you can stop implementing the
|
|
|
|
|
primitive here and enjoy the speed-ups you get from the Accelerate library.
|
|
|
|
|
|
|
|
|
|
Implementing the GPU Backend
|
|
|
|
|
Implementing the GPU Back-end
|
|
|
|
|
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
|
|
|
|
|
|
|
|
|
|
Apple silicon devices address their GPUs using the Metal_ shading language, and
|
|
|
|
|
all GPU kernels in MLX are written using metal.
|
|
|
|
|
Apple silicon devices address their GPUs using the Metal_ shading language, and
|
|
|
|
|
GPU kernels in MLX are written using Metal.
|
|
|
|
|
|
|
|
|
|
.. note::
|
|
|
|
|
|
|
|
|
|
Here are some helpful resources if you are new to metal!
|
|
|
|
|
Here are some helpful resources if you are new to Metal:
|
|
|
|
|
|
|
|
|
|
* A walkthrough of the metal compute pipeline: `Metal Example`_
|
|
|
|
|
* Documentation for metal shading language: `Metal Specification`_
|
|
|
|
|
* Using metal from C++: `Metal-cpp`_
|
|
|
|
|
|
|
|
|
|
Let's keep the GPU algorithm simple. We will launch exactly as many threads
|
|
|
|
|
as there are elements in the output. Each thread will pick the element it needs
|
|
|
|
|
from ``x`` and ``y``, do the pointwise operation, and then update its assigned
|
|
|
|
|
element in the output.
|
|
|
|
|
Let's keep the GPU kernel simple. We will launch exactly as many threads as
|
|
|
|
|
there are elements in the output. Each thread will pick the element it needs
|
|
|
|
|
from ``x`` and ``y``, do the point-wise operation, and update its assigned
|
|
|
|
|
element in the output.
|
|
|
|
|
|
|
|
|
|
.. code-block:: C++
|
|
|
|
|
|
|
|
|
@@ -457,15 +427,14 @@ element in the output.
|
|
|
|
|
// Convert linear indices to offsets in array
|
|
|
|
|
auto x_offset = elem_to_loc(index, shape, x_strides, ndim);
|
|
|
|
|
auto y_offset = elem_to_loc(index, shape, y_strides, ndim);
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
// Do the operation and update the output
|
|
|
|
|
out[index] =
|
|
|
|
|
out[index] =
|
|
|
|
|
static_cast<T>(alpha) * x[x_offset] + static_cast<T>(beta) * y[y_offset];
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
We then need to instantiate this template for all floating point types and give
|
|
|
|
|
each instantiation a unique host name so we can identify the right kernel for
|
|
|
|
|
each data type.
|
|
|
|
|
each instantiation a unique host name so we can identify it.
|
|
|
|
|
|
|
|
|
|
.. code-block:: C++
|
|
|
|
|
|
|
|
|
@@ -488,29 +457,21 @@ each data type.
|
|
|
|
|
instantiate_axpby(bfloat16, bfloat16_t);
|
|
|
|
|
instantiate_axpby(complex64, complex64_t);
|
|
|
|
|
|
|
|
|
|
This kernel will be compiled into a metal library ``mlx_ext.metallib`` as we
|
|
|
|
|
will see later in :ref:`Building with CMake`. In the following example, we
|
|
|
|
|
assume that the library ``mlx_ext.metallib`` will always be co-located with
|
|
|
|
|
the executable/ shared-library calling the :meth:`register_library` function.
|
|
|
|
|
The :meth:`register_library` function takes the library's name and potential
|
|
|
|
|
path (or in this case, a function that can produce the path of the metal
|
|
|
|
|
library) and tries to load that library if it hasn't already been registered
|
|
|
|
|
by the relevant static :class:`mlx::core::metal::Device` object. This is why,
|
|
|
|
|
it is important to package your C++ library with the metal library. We will
|
|
|
|
|
go over this process in more detail later.
|
|
|
|
|
|
|
|
|
|
The logic to determine the kernel, set the inputs, resolve the grid dimensions
|
|
|
|
|
and dispatch it to the GPU are contained in :meth:`Axpby::eval_gpu` as shown
|
|
|
|
|
The logic to determine the kernel, set the inputs, resolve the grid dimensions,
|
|
|
|
|
and dispatch to the GPU are contained in :meth:`Axpby::eval_gpu` as shown
|
|
|
|
|
below.
|
|
|
|
|
|
|
|
|
|
.. code-block:: C++
|
|
|
|
|
|
|
|
|
|
/** Evaluate primitive on GPU */
|
|
|
|
|
void Axpby::eval_gpu(const std::vector<array>& inputs, array& out) {
|
|
|
|
|
void Axpby::eval_gpu(
|
|
|
|
|
const std::vector<array>& inputs,
|
|
|
|
|
std::vector<array>& outputs) {
|
|
|
|
|
// Prepare inputs
|
|
|
|
|
assert(inputs.size() == 2);
|
|
|
|
|
auto& x = inputs[0];
|
|
|
|
|
auto& y = inputs[1];
|
|
|
|
|
auto& out = outputs[0];
|
|
|
|
|
|
|
|
|
|
// Each primitive carries the stream it should execute on
|
|
|
|
|
// and each stream carries its device identifiers
|
|
|
|
@@ -518,10 +479,10 @@ below.
|
|
|
|
|
// We get the needed metal device using the stream
|
|
|
|
|
auto& d = metal::device(s.device);
|
|
|
|
|
|
|
|
|
|
// Allocate output memory
|
|
|
|
|
// Allocate output memory
|
|
|
|
|
out.set_data(allocator::malloc_or_wait(out.nbytes()));
|
|
|
|
|
|
|
|
|
|
// Resolve name of kernel (corresponds to axpby.metal)
|
|
|
|
|
// Resolve name of kernel
|
|
|
|
|
std::ostringstream kname;
|
|
|
|
|
kname << "axpby_" << "general_" << type_to_name(out);
|
|
|
|
|
|
|
|
|
@@ -552,7 +513,7 @@ below.
|
|
|
|
|
compute_encoder->setBytes(&alpha_, sizeof(float), 3);
|
|
|
|
|
compute_encoder->setBytes(&beta_, sizeof(float), 4);
|
|
|
|
|
|
|
|
|
|
// Encode shape, strides and ndim
|
|
|
|
|
// Encode shape, strides and ndim
|
|
|
|
|
compute_encoder->setBytes(x.shape().data(), ndim * sizeof(int), 5);
|
|
|
|
|
compute_encoder->setBytes(x.strides().data(), ndim * sizeof(size_t), 6);
|
|
|
|
|
compute_encoder->setBytes(y.strides().data(), ndim * sizeof(size_t), 7);
|
|
|
|
@@ -575,28 +536,25 @@ below.
|
|
|
|
|
|
|
|
|
|
We can now call the :meth:`axpby` operation on both the CPU and the GPU!
|
|
|
|
|
|
|
|
|
|
A few things to note about MLX and metal before moving on. MLX keeps track
|
|
|
|
|
of the active ``compute_encoder``. We rely on :meth:`d.get_command_encoder`
|
|
|
|
|
to give us the active metal compute command encoder instead of building a
|
|
|
|
|
new one and calling :meth:`compute_encoder->end_encoding` at the end.
|
|
|
|
|
MLX keeps adding kernels (compute pipelines) to the active command encoder
|
|
|
|
|
until some specified limit is hit or the compute encoder needs to be flushed
|
|
|
|
|
for synchronization. MLX also handles enqueuing and committing the associated
|
|
|
|
|
command buffers as needed. We suggest taking a deeper dive into
|
|
|
|
|
:class:`metal::Device` if you would like to study this routine further.
|
|
|
|
|
A few things to note about MLX and Metal before moving on. MLX keeps track of
|
|
|
|
|
the active ``command_buffer`` and the ``MTLCommandBuffer`` to which it is
|
|
|
|
|
associated. We rely on :meth:`d.get_command_encoder` to give us the active
|
|
|
|
|
metal compute command encoder instead of building a new one and calling
|
|
|
|
|
:meth:`compute_encoder->end_encoding` at the end. MLX adds kernels (compute
|
|
|
|
|
pipelines) to the active command buffer until some specified limit is hit or
|
|
|
|
|
the command buffer needs to be flushed for synchronization.
|
|
|
|
|
|
|
|
|
|
Primitive Transforms
|
|
|
|
|
^^^^^^^^^^^^^^^^^^^^^
|
|
|
|
|
|
|
|
|
|
Now that we have come this far, let's also learn how to add implementations to
|
|
|
|
|
transformations in a :class:`Primitive`. These transformations can be built on
|
|
|
|
|
top of our operations, including the one we just defined now. Which then gives
|
|
|
|
|
us the following :meth:`Axpby::jvp` and :meth:`Axpby::vjp` implementations.
|
|
|
|
|
Next, let's add implementations for transformations in a :class:`Primitive`.
|
|
|
|
|
These transformations can be built on top of other operations, including the
|
|
|
|
|
one we just defined:
|
|
|
|
|
|
|
|
|
|
.. code-block:: C++
|
|
|
|
|
|
|
|
|
|
/** The Jacobian-vector product. */
|
|
|
|
|
array Axpby::jvp(
|
|
|
|
|
std::vector<array> Axpby::jvp(
|
|
|
|
|
const std::vector<array>& primals,
|
|
|
|
|
const std::vector<array>& tangents,
|
|
|
|
|
const std::vector<int>& argnums) {
|
|
|
|
@@ -611,12 +569,12 @@ us the following :meth:`Axpby::jvp` and :meth:`Axpby::vjp` implementations.
|
|
|
|
|
if (argnums.size() > 1) {
|
|
|
|
|
auto scale = argnums[0] == 0 ? alpha_ : beta_;
|
|
|
|
|
auto scale_arr = array(scale, tangents[0].dtype());
|
|
|
|
|
return multiply(scale_arr, tangents[0], stream());
|
|
|
|
|
return {multiply(scale_arr, tangents[0], stream())};
|
|
|
|
|
}
|
|
|
|
|
// If, argnums = {0, 1}, we take contributions from both
|
|
|
|
|
// which gives us jvp = tangent_x * alpha + tangent_y * beta
|
|
|
|
|
else {
|
|
|
|
|
return axpby(tangents[0], tangents[1], alpha_, beta_, stream());
|
|
|
|
|
return {axpby(tangents[0], tangents[1], alpha_, beta_, stream())};
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
@@ -625,34 +583,35 @@ us the following :meth:`Axpby::jvp` and :meth:`Axpby::vjp` implementations.
|
|
|
|
|
/** The vector-Jacobian product. */
|
|
|
|
|
std::vector<array> Axpby::vjp(
|
|
|
|
|
const std::vector<array>& primals,
|
|
|
|
|
const array& cotan,
|
|
|
|
|
const std::vector<int>& argnums) {
|
|
|
|
|
const std::vector<array>& cotangents,
|
|
|
|
|
const std::vector<int>& argnums,
|
|
|
|
|
const std::vector<int>& /* unused */) {
|
|
|
|
|
// Reverse mode diff
|
|
|
|
|
std::vector<array> vjps;
|
|
|
|
|
for (auto arg : argnums) {
|
|
|
|
|
auto scale = arg == 0 ? alpha_ : beta_;
|
|
|
|
|
auto scale_arr = array(scale, cotan.dtype());
|
|
|
|
|
vjps.push_back(multiply(scale_arr, cotan, stream()));
|
|
|
|
|
auto scale_arr = array(scale, cotangents[0].dtype());
|
|
|
|
|
vjps.push_back(multiply(scale_arr, cotangents[0], stream()));
|
|
|
|
|
}
|
|
|
|
|
return vjps;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
Finally, you need not have a transformation fully defined to start using your
|
|
|
|
|
own :class:`Primitive`.
|
|
|
|
|
Note, a transformation does not need to be fully defined to start using
|
|
|
|
|
the :class:`Primitive`.
|
|
|
|
|
|
|
|
|
|
.. code-block:: C++
|
|
|
|
|
|
|
|
|
|
/** Vectorize primitive along given axis */
|
|
|
|
|
std::pair<array, int> Axpby::vmap(
|
|
|
|
|
std::pair<std::vector<array>, std::vector<int>> Axpby::vmap(
|
|
|
|
|
const std::vector<array>& inputs,
|
|
|
|
|
const std::vector<int>& axes) {
|
|
|
|
|
throw std::runtime_error("Axpby has no vmap implementation.");
|
|
|
|
|
throw std::runtime_error("[Axpby] vmap not implemented.");
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
Building and Binding
|
|
|
|
|
--------------------
|
|
|
|
|
|
|
|
|
|
Let's look at the overall directory structure first.
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Let's look at the overall directory structure first.
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| extensions
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| ├── axpby
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@@ -666,40 +625,39 @@ Let's look at the overall directory structure first.
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| └── setup.py
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* ``extensions/axpby/`` defines the C++ extension library
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* ``extensions/mlx_sample_extensions`` sets out the structure for the
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associated python package
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* ``extensions/bindings.cpp`` provides python bindings for our operation
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* ``extensions/CMakeLists.txt`` holds CMake rules to build the library and
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python bindings
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* ``extensions/mlx_sample_extensions`` sets out the structure for the
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associated Python package
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* ``extensions/bindings.cpp`` provides Python bindings for our operation
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* ``extensions/CMakeLists.txt`` holds CMake rules to build the library and
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Python bindings
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* ``extensions/setup.py`` holds the ``setuptools`` rules to build and install
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the python package
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the Python package
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Binding to Python
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^^^^^^^^^^^^^^^^^^
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We use PyBind11_ to build a Python API for the C++ library. Since bindings for
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We use nanobind_ to build a Python API for the C++ library. Since bindings for
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components such as :class:`mlx.core.array`, :class:`mlx.core.stream`, etc. are
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already provided, adding our :meth:`axpby` is simple!
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already provided, adding our :meth:`axpby` is simple.
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.. code-block:: C++
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PYBIND11_MODULE(mlx_sample_extensions, m) {
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m.doc() = "Sample C++ and metal extensions for MLX";
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NB_MODULE(_ext, m) {
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m.doc() = "Sample extension for MLX";
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m.def(
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"axpby",
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&axpby,
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"x"_a,
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"y"_a,
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py::pos_only(),
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"alpha"_a,
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"beta"_a,
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py::kw_only(),
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"stream"_a = py::none(),
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R"pbdoc(
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nb::kw_only(),
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"stream"_a = nb::none(),
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R"(
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Scale and sum two vectors element-wise
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``z = alpha * x + beta * y``
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Follows numpy style broadcasting between ``x`` and ``y``
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Inputs are upcasted to floats if needed
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@@ -711,17 +669,17 @@ already provided, adding our :meth:`axpby` is simple!
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Returns:
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array: ``alpha * x + beta * y``
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)pbdoc");
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)");
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}
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Most of the complexity in the above example comes from additional bells and
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Most of the complexity in the above example comes from additional bells and
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whistles such as the literal names and doc-strings.
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.. warning::
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:mod:`mlx.core` needs to be imported before importing
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:mod:`mlx_sample_extensions` as defined by the pybind11 module above to
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ensure that the casters for :mod:`mlx.core` components like
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:mod:`mlx.core` must be imported before importing
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:mod:`mlx_sample_extensions` as defined by the nanobind module above to
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ensure that the casters for :mod:`mlx.core` components like
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:class:`mlx.core.array` are available.
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.. _Building with CMake:
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@@ -729,8 +687,8 @@ whistles such as the literal names and doc-strings.
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Building with CMake
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^^^^^^^^^^^^^^^^^^^^
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Building the C++ extension library itself is simple, it only requires that you
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``find_package(MLX CONFIG)`` and then link it to your library.
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Building the C++ extension library only requires that you ``find_package(MLX
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CONFIG)`` and then link it to your library.
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.. code-block:: cmake
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@@ -752,12 +710,12 @@ Building the C++ extension library itself is simple, it only requires that you
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# Link to mlx
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target_link_libraries(mlx_ext PUBLIC mlx)
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We also need to build the attached metal library. For convenience, we provide a
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:meth:`mlx_build_metallib` function that builds a ``.metallib`` target given
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sources, headers, destinations, etc. (defined in ``cmake/extension.cmake`` and
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automatically imported with MLX package).
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We also need to build the attached Metal library. For convenience, we provide a
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:meth:`mlx_build_metallib` function that builds a ``.metallib`` target given
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sources, headers, destinations, etc. (defined in ``cmake/extension.cmake`` and
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automatically imported with MLX package).
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Here is what that looks like in practice!
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Here is what that looks like in practice:
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.. code-block:: cmake
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@@ -779,27 +737,29 @@ Here is what that looks like in practice!
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endif()
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Finally, we build the Pybind11_ bindings
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Finally, we build the nanobind_ bindings
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.. code-block:: cmake
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pybind11_add_module(
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mlx_sample_extensions
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${CMAKE_CURRENT_LIST_DIR}/bindings.cpp
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nanobind_add_module(
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_ext
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NB_STATIC STABLE_ABI LTO NOMINSIZE
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NB_DOMAIN mlx
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${CMAKE_CURRENT_LIST_DIR}/bindings.cpp
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)
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target_link_libraries(mlx_sample_extensions PRIVATE mlx_ext)
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target_link_libraries(_ext PRIVATE mlx_ext)
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if(BUILD_SHARED_LIBS)
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target_link_options(mlx_sample_extensions PRIVATE -Wl,-rpath,@loader_path)
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target_link_options(_ext PRIVATE -Wl,-rpath,@loader_path)
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endif()
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Building with ``setuptools``
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^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
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^^^^^^^^^^^^^^^^^^^^^^^^^^^^
|
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Once we have set out the CMake build rules as described above, we can use the
|
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|
build utilities defined in :mod:`mlx.extension` for a simple build process.
|
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build utilities defined in :mod:`mlx.extension`:
|
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|
.. code-block:: python
|
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|
.. code-block:: python
|
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|
from mlx import extension
|
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from setuptools import setup
|
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|
|
@@ -809,48 +769,50 @@ build utilities defined in :mod:`mlx.extension` for a simple build process.
|
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|
name="mlx_sample_extensions",
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|
|
version="0.0.0",
|
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|
|
|
description="Sample C++ and Metal extensions for MLX primitives.",
|
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|
ext_modules=[extension.CMakeExtension("mlx_sample_extensions")],
|
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|
ext_modules=[extension.CMakeExtension("mlx_sample_extensions._ext")],
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|
cmdclass={"build_ext": extension.CMakeBuild},
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|
packages = ["mlx_sample_extensions"],
|
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|
package_dir = {"": "mlx_sample_extensions"},
|
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|
package_data = {"mlx_sample_extensions" : ["*.so", "*.dylib", "*.metallib"]},
|
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packages=["mlx_sample_extensions"],
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package_data={"mlx_sample_extensions": ["*.so", "*.dylib", "*.metallib"]},
|
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|
extras_require={"dev":[]},
|
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|
zip_safe=False,
|
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|
python_requires=">=3.7",
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python_requires=">=3.8",
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)
|
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|
.. note::
|
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|
We treat ``extensions/mlx_sample_extensions`` as the package directory
|
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|
|
even though it only contains a ``__init__.py`` to ensure the following:
|
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|
|
* :mod:`mlx.core` is always imported before importing :mod:`mlx_sample_extensions`
|
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|
|
|
* The C++ extension library and the metal library are co-located with the python
|
|
|
|
|
bindings and copied together if the package is installed
|
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|
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|
|
You can build inplace for development using
|
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|
|
|
* :mod:`mlx.core` must be imported before importing :mod:`_ext`
|
|
|
|
|
* The C++ extension library and the metal library are co-located with the python
|
|
|
|
|
bindings and copied together if the package is installed
|
|
|
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|
|
To build the package, first install the build dependencies with ``pip install
|
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|
|
|
-r requirements.txt``. You can then build inplace for development using
|
|
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|
|
``python setup.py build_ext -j8 --inplace`` (in ``extensions/``)
|
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|
|
This will result in a directory structure as follows:
|
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|
|
This results in the directory structure:
|
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|
|
|
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|
|
| extensions
|
|
|
|
|
| ├── mlx_sample_extensions
|
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|
|
|
| │ ├── __init__.py
|
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|
|
| │ ├── libmlx_ext.dylib # C++ extension library
|
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|
|
|
| │ ├── mlx_ext.metallib # Metal library
|
|
|
|
|
| │ └── mlx_sample_extensions.cpython-3x-darwin.so # Python Binding
|
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|
|
| │ └── _ext.cpython-3x-darwin.so # Python Binding
|
|
|
|
|
| ...
|
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|
|
|
|
|
|
|
When you try to install using the command ``python -m pip install .``
|
|
|
|
|
(in ``extensions/``), the package will be installed with the same structure as
|
|
|
|
|
``extensions/mlx_sample_extensions`` and the C++ and metal library will be
|
|
|
|
|
copied along with the python binding since they are specified as ``package_data``.
|
|
|
|
|
When you try to install using the command ``python -m pip install .`` (in
|
|
|
|
|
``extensions/``), the package will be installed with the same structure as
|
|
|
|
|
``extensions/mlx_sample_extensions`` and the C++ and Metal library will be
|
|
|
|
|
copied along with the Python binding since they are specified as
|
|
|
|
|
``package_data``.
|
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|
|
|
|
|
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|
|
Usage
|
|
|
|
|
-----
|
|
|
|
|
|
|
|
|
|
After installing the extension as described above, you should be able to simply
|
|
|
|
|
import the python package and play with it as you would any other MLX operation!
|
|
|
|
|
After installing the extension as described above, you should be able to simply
|
|
|
|
|
import the Python package and play with it as you would any other MLX operation.
|
|
|
|
|
|
|
|
|
|
Let's looks at a simple script and it's results!
|
|
|
|
|
Let's look at a simple script and its results:
|
|
|
|
|
|
|
|
|
|
.. code-block:: python
|
|
|
|
|
|
|
|
|
@@ -874,12 +836,12 @@ Output:
|
|
|
|
|
c correctness: True
|
|
|
|
|
|
|
|
|
|
Results
|
|
|
|
|
^^^^^^^^^^^^^^^^
|
|
|
|
|
^^^^^^^
|
|
|
|
|
|
|
|
|
|
Let's run a quick benchmark and see how our new ``axpby`` operation compares
|
|
|
|
|
with the naive :meth:`simple_axpby` we defined at first on the CPU.
|
|
|
|
|
Let's run a quick benchmark and see how our new ``axpby`` operation compares
|
|
|
|
|
with the naive :meth:`simple_axpby` we first defined on the CPU.
|
|
|
|
|
|
|
|
|
|
.. code-block:: python
|
|
|
|
|
.. code-block:: python
|
|
|
|
|
|
|
|
|
|
import mlx.core as mx
|
|
|
|
|
from mlx_sample_extensions import axpby
|
|
|
|
@@ -898,7 +860,7 @@ with the naive :meth:`simple_axpby` we defined at first on the CPU.
|
|
|
|
|
alpha = 4.0
|
|
|
|
|
beta = 2.0
|
|
|
|
|
|
|
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|
|
mx.eval((x, y))
|
|
|
|
|
mx.eval(x, y)
|
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|
|
|
|
|
|
|
|
def bench(f):
|
|
|
|
|
# Warm up
|
|
|
|
@@ -919,30 +881,23 @@ with the naive :meth:`simple_axpby` we defined at first on the CPU.
|
|
|
|
|
|
|
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|
|
print(f"Simple axpby: {simple_time:.3f} s | Custom axpby: {custom_time:.3f} s")
|
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|
|
Results:
|
|
|
|
|
|
|
|
|
|
.. code-block::
|
|
|
|
|
|
|
|
|
|
Simple axpby: 0.114 s | Custom axpby: 0.109 s
|
|
|
|
|
|
|
|
|
|
We see some modest improvements right away!
|
|
|
|
|
The results are ``Simple axpby: 0.114 s | Custom axpby: 0.109 s``. We see
|
|
|
|
|
modest improvements right away!
|
|
|
|
|
|
|
|
|
|
This operation is now good to be used to build other operations, in
|
|
|
|
|
:class:`mlx.nn.Module` calls, and also as a part of graph transformations like
|
|
|
|
|
:meth:`grad`!
|
|
|
|
|
:meth:`grad`.
|
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|
|
|
|
|
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|
|
Scripts
|
|
|
|
|
-------
|
|
|
|
|
|
|
|
|
|
.. admonition:: Download the code
|
|
|
|
|
|
|
|
|
|
The full example code is available in `mlx <code>`_.
|
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|
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|
|
|
|
|
|
.. code: `https://github.com/ml-explore/mlx/tree/main/examples/extensions/`_
|
|
|
|
|
The full example code is available in `mlx <https://github.com/ml-explore/mlx/tree/main/examples/extensions/>`_.
|
|
|
|
|
|
|
|
|
|
.. _Accelerate: https://developer.apple.com/documentation/accelerate/blas?language=objc
|
|
|
|
|
.. _Metal: https://developer.apple.com/documentation/metal?language=objc
|
|
|
|
|
.. _Metal-cpp: https://developer.apple.com/metal/cpp/
|
|
|
|
|
.. _`Metal Specification`: https://developer.apple.com/metal/Metal-Shading-Language-Specification.pdf
|
|
|
|
|
.. _`Metal Example`: https://developer.apple.com/documentation/metal/performing_calculations_on_a_gpu?language=objc
|
|
|
|
|
.. _PyBind11: https://pybind11.readthedocs.io/en/stable/
|
|
|
|
|
.. _nanobind: https://nanobind.readthedocs.io/en/latest/
|
|
|
|
|