- Python Requirements
- Compilation Instructions
- Documentation and Examples
- Differences from C++ API
- Example of Simple Usage
- Halide Generators In Python
- Keeping Up To Date
- License
Halide provides Python bindings for most of its public API. Python 3.8 (or higher) is required. The Python bindings are supported on 64-bit Linux, OSX, and Windows systems.
In addition to the ability to write just-in-time Halide code using Python, you can write Generators using the Python bindings, which can simplify build-system integration (since no C++ metacompilation step is required).
You can also use existing Halide Generators (written in either C++ or Python) to produce Python extensions that can be used within Python code.
Before building, you should ensure you have prerequite packages installed in your local Python environment. The best way to get set up is to use a virtual environment:
$ python3 -m venv venv
$ . venv/bin/activate
$ python3 -m pip install -U setuptools wheel
$ python3 -m pip install -r requirements.txt
Build as part of the CMake build with -DWITH_PYTHON_BINDINGS=ON
(this is the
default). Note that this requires both Halide and LLVM to be built with RTTI and
exceptions enabled, which is not the default for LLVM.
As mentioned elsewhere, the Python API attempts to mimic the C++ Halide API as directly as possible; there isn't separate Python-specific documentation for the API at this time.
For now, examine the code for the example applications in the test/apps/
and
tutorial/
subdirectories.
The tests run as part of the standard CTest infrastructure and are labeled with
the python
label. You can run the Python tests specifically by running:
$ ctest -L python
from the Halide build directory.
The Python bindings attempt to mimic the Halide C++ API as closely as possible, with some differences where the C++ idiom is either inappropriate or impossible:
-
Most APIs that take a variadic argument list of ints in C++ take an explicit list in Python. For instance, the usual version of the
Buffer
ctor in C++ offers both variadic and list versions:Buffer<>(Type t, int extent_dim_0, int extent_dim_1, ...., extent_dim_N, string name = ""); Buffer<>(Type t, vector<int> extents, string name = "");
In Python, only the second variant is provided.
-
Func
andBuffer
access is done using[]
rather than()
- For zero-dimensional
Func
andBuffer
, you must explicitly specify[()]
-- that is, use an empty tuple as the index -- because[]
is not syntactically acceptable in Python.
- For zero-dimensional
-
Some classes in the Halide API aren't provided because standard Python idioms are a better fit:
Halide::Tuple
doesn't exist in the Python bindings; an ordinary Python tuple ofHalide::Expr
is used instead.Halide::Realization
doesn't exist in the Python bindings; an ordinary Python tuple ofHalide::Buffer
is used instead.
-
static and instance method overloads with the same name in the same class aren't allowed, so some convenience methods are missing from
Halide::Var
-
Templated types (notably
Halide::Buffer<>
andHalide::Param<>
) aren't provided, for obvious reasons; only the equivalents ofHalide::Buffer<void>
andHalide::Param<void>
are supported. -
The functions in
Halide::ConciseCasts
are present in the toplevel Halide module in Python, rather than a submodule: e.g., usehalide.i8_sat()
, nothalide.ConciseCasts.i8_sat()
. -
Only things in the
Halide
namespace are supported; classes and methods that involve using theHalide::Internal
namespace are not provided. -
No mechanism is provided for overriding any runtime functions from Python for JIT-compiled code. (Runtime functions for AOT-compiled code can be overridden by building and linking a custom runtime, but not currently via any runtime API, e.g. halide_set_custom_print() does not exist.)
-
No mechanism is provided for supporting
Func::define_extern
. -
Buffer::for_each_value()
isn't supported yet. -
Func::in
becomesFunc.in_
becausein
is a Python keyword. -
Func::async
becomesFunc.async_
becauseasync
is a Python keyword. -
The
not
keyword cannot be used to negate boolean Halide expressions. Instead, thelogical_not
function can be used and is equivalent to usingoperator!
in C++. -
There is no way to override the logical
and
/or
operators in Python to work withExpr
: you must use the bitwise|
and&
instead. (Note that incorrectly using usingand
/or
just short-circuits weirdly, rather than failing with some helpful error; this is an issue that we have not yet found any way to improve, unfortunately.) -
Some error messages need to be made more informative.
-
Some exceptions are the "incorrect" type (compared to C++ expectations).
-
Many hooks to override runtime functions (e.g. Func::set_error_handler) aren't yet implemented.
-
The following parts of the Halide public API are currently missing entirely from the Python bindings (but are all likely to be supported at some point in the future):
DeviceInterface
evaluate()
The Python bindings for Halide are built as a standard part of the install
target, and are present in the Halide install location at
$HALIDE_INSTALL/lib/python3/site-packages
; adding that to your PYTHONPATH
should allow you to simply import halide
:
# By convention, we import halide as 'hl' for terseness
import halide as hl
# Some constants
edge = 512
k = 20.0 / float(edge)
# Simple formula
x, y, c = hl.Var('x'), hl.Var('y'), hl.Var('c')
f = hl.Func('f')
e = hl.sin(x * ((c + 1) / 3.0) * k) * hl.cos(y * ((c + 1) / 3.0) * k)
f[x, y, c] = hl.cast(hl.UInt(8), e * 255.0)
f.vectorize(x, 8).parallel(y)
# Realize into a Buffer.
buf = f.realize([edge, edge, 3])
# Do something with the image. We'll just save it to a PNG.
from halide import imageio
imageio.imwrite("/tmp/example.png", buf)
It's worth noting in the example above that the Halide Buffer
object supports
the Python Buffer Protocol (https://www.python.org/dev/peps/pep-3118) and thus
is converted to and from other compatible objects (e.g., NumPy's ndarray
), at
essentially zero cost, with storage being shared. Thus, we can usually pass it
directly to existing Python APIs (like imsave()
) that expect 'image-like'
objects without any explicit conversion necessary.
In Halide, a "Generator" is a unit of encapsulation for Halide code. It is a self-contained piece of code that can:
- Produce a chunk of Halide IR (in the form of an
hl.Pipeline
) that is appropriate for compilation (via either JIT or AOT) - Expose itself to the build system in a discoverable way
- Fully describe itself for the build system with metadata for (at least) the type and number of inputs and outputs expected
- Allow for build-time customization of coder-specified parameters in a way that doesn't require editing of source code
Originally, Halide only supported writing Generators in C++. In this document, we'll use the term "C++ Generator" to mean "Generator written in C++ using the classic API", the term "Python Generator" to mean "Generator written in Halide's Python bindings", and just plain "Generator" when the discussion is relatively neutral with respect to the implementation language/API.
A Python Generator is a class that:
- has the
@hl.generator
decorator applied to it - declares zero or more member fields that are initialized with values of
hl.InputBuffer
orhl.InputScalar
, which specify the expected input(s) of the resultingPipeline
. - declares one or more member fields that are initialized with values of
hl.OutputBuffer
orhl.OutputScalar
, which specify the expected output(s) of the resultingPipeline
. - declares zero or more member fields that are initialized with values of
hl.GeneratorParam
, which can be used to pass arbitrary information from the build system to the Generator. A GeneratorParam can carry a value of typebool
,int
,float
,str
, orhl.Type
. - declares a
generate()
method that fill in the Halide IR needed to define all of the Outputs - optionally declares a
configure()
method to dynamically add Inputs or Outputs to the pipeline, based on (e.g.) the values ofGeneratorParam
values or other external inputs
Let's look at a fairly simple example:
TODO: this example is pretty contrived; is there an equally simple Generator to use here that would demonstrate the basics?
import halide as hl
x = hl.Var('x')
y = hl.Var('y')
_operators = {
'xor': lambda a, b: a ^ b,
'and': lambda a, b: a & b,
'or': lambda a, b: a | b
}
# Apply a mask value to a 2D image using a logical operator that is selected at compile-time.
@hl.generator(name = "logical_op_generator")
class LogicalOpGenerator:
op = hl.GeneratorParam("xor")
input = hl.InputBuffer(hl.UInt(8), 2)
mask = hl.InputScalar(hl.UInt(8))
output = hl.OutputBuffer(hl.UInt(8), 2)
def generate(g):
# Algorithm
operator = _operators[g.op]
g.output[x, y] = operator(g.input[x, y], g.mask)
# Schedule
v = g.natural_vector_size(hl.UInt(8))
g.output.vectorize(x, v)
if __name__ == "__main__":
hl.main()
If you've worked with Halide Generators written in C++, the "shape" of this will likely look familiar. (If not, no worries; you shouldn't need any knowledge of C++ Generators for the following to make sense.)
Let's take the details here one at a time.
This decorator adds appropriate "glue" machinery to the class to enforce various
invariants. It also serves as the declares a "registered name" for the
Generator, which is a unique name that the build system will use to identify the
Generator. If you omit the name, it defaults to defaults to module.classname
;
if module is __main__
then we omit it and just use the plain classname. Note
that the registered name need not match the classname. (Inside Halide, we use
the convention of CamelCase
for class names and snake_case
for registered
names, but you can use whatever convention you like.)
Each GeneratorParam
is an arbitrary key-value pair that can be used to provide
configurable options at compile time. You provide the name and a default value.
The default value can be overridden by the build machinery, which will replace
the value (based on user specified text).
Note that the type of the default value is used to define the expected type of
the GeneratorParam
, and trying to set it to an incompatible value will throw
an exception. The types that are acceptable to use in a GeneratorParam
are:
- Python's
bool
,int
,float
, orstr
- Halide's
hl.Type
- ...that's all
Note that the value of a GeneratorParam
is read-only from the point of view of
the Generator; they are set at Generator construction time and attempting to
change their value will throw an exception.
These declare the inputs to the hl.Pipeline
that the Generator will produce.
An hl.InputScalar
is, essentially, a "factory" that produces an hl.Param
in
the existing Python API, while an hl.InputBuffer
is a factory for
hl.ImageParam
.
From the Generator author's perspective, a field initialized with InputScalar
is a Param
– not kinda-like-one, not a magic wrapper that forwards
everything; it is literally just hl.Param
. Similarly, an InputBuffer
produces ImageParam
, and an InputFunc
is a wrapper around Func
. You won't
be able to assign a new value to the member field for Inputs – as with
GeneratorParams, they are "read-only" to the Generator – but you will be able to
set constraints on them.
Note that in addition to specifying a concrete type and dimensionality for the
inputs, these factory classes support the ability to specify either (or both)
None
, which means the type/dimensionality will be provided by GeneratorParams
in the build system.
These declare the output(s) of the Pipeline that the Generator will produce. An
hl.OutputBuffer
is, essentially, a "factory" that produces an hl.Func
in the
existing Python API. (hl.OutputScalar
is just an hl.OutputBuffer
that always
has zero dimensions.)
From the Generator author's perspective, a field declared with OutputBuffer
is a Func
– not kinda-like-one, not a magic wrapper that forwards
everything; it is literally just hl.Func
(with type-and-dimensionality set to
match, see recent PR #6734) . You won't be
able to assign a new value to the member field for Inputs – as with
GeneratorParams, they are "read-only" to the Generator – but you will be able to
set constraints on them.
Note that in addition to specifying a concrete type and dimensionality for the
inputs, these factory classes support the ability to specify either (or both) as
None
, which means the type/dimensionality will be provided by GeneratorParams
in the build system.
Note that all of the GeneratorParams, Inputs, and Outputs have names that are implicitly filled in based on the fieldname of their initial assignment; unlike in C++ Generators, there isn't a way to "override" this name (i.e., the name in the IR will always exactly match the Python field name). Names have the same constraints as for C++ Generators (essentially, a C identifier, but without an initial underscore, and without any double underscore anywhere).
This will be called by the Generator machinery to build the Pipeline. As with C++ Generators, the only required task is to ensure that all Output fields are fully defined, in a way that matches the type-and-dimension constraints specified.
It is required that the generate()
method be defined by the Generator.
(Note that, by convention, Halide Generators use g
instead of self
in their
generate()
method to make the expression language terser; this is not in any
way required, but is recommended to improve readability.)
For all of the Input and Output fields of Generators, you can specify native
Python types (instead of hl.Type
) for certain cases that are unambiguous. At
present, we allow bool
as an alias for hl.Bool()
, int
as an alias for
hl.Int(32)
, and float
as an alias for hl.Float(32)
.
You can use the compile_to_callable()
method to JIT-compile a Generator into a
hl.Callable
, which is (essentially) just a dynamically-created function.
import LogicalOpGenerator
from halide import imageio
import numpy as np
# Instantiate a Generator -- we can only set the GeneratorParams
# by passing in a dict to the Generator's constructor
or_op_generator = LogicalOpGenerator({"op": "or"})
# Now compile the Generator into a Callable
or_filter = or_op_generator.compile_to_callable()
# Read in some file for input
input_buf = imageio.imread("/path/to/some/file.png")
assert input_buf.ndim == 2
assert input_buf.dtype == np.uint8
# create a Buffer-compatible object for the output; we'll use np.array
output_buf = np.empty(input_buf.shape, dtype=input_buf.dtype)
# Note, Python code throws exception for error conditions rather than returning an int
or_filter(input_buf, 0x7f, output_buf)
# Note also that we can use named arguments for any/all, in the Python manner:
or_filter(mask=0x7f, input=input_buf, output=output_buf)
imageio.imwrite("/tmp/or.png", output_buf)
By default, a Generator will produce code targeted at Target("host")
(or the
value of the HL_JIT_TARGET
environment variable, if set); you can override
this behavior selectively by activating a GeneratorContext
when the Generator
is created:
import LogicalOpGenerator
# Compile with debugging enabled
t = hl.Target("host-debug")
with hl.GeneratorContext(t):
or_op_generator = LogicalOpGenerator({"op": "or"})
or_filter = or_op_generator.compile_to_callable()
If you are using CMake, the simplest thing is to use
add_halide_library
and add_halide_python_extension_library()
:
# Build a Halide library as you usually would, but be sure to include `PYTHON_EXTENSION`
add_halide_library(xor_filter
FROM logical_op_generator
PARAMS op=xor
PYTHON_EXTENSION output_path_var
[ FEATURES ... ]
[ PARAMS ... ])
# Now wrap the generated code with a Python extension.
# (Note that module name defaults to match the target name; we only
# need to specify MODULE_NAME if we need a name that may differ)
add_halide_python_extension_library(my_extension
MODULE_NAME my_module
HALIDE_LIBRARIES xor_filter)
(Note that this rule works for both C++ and Python Generators.)
This compiles the Generator code in logical_op_generator.py
with the
registered name logical_op_generator
to produce the target xor_filter
, and then wraps
the compiled output with a Python extension. The result will be a shared library of the form
<target>.<soabi>.so
, where describes the specific Python version and
platform (e.g., cpython-310-darwin
for Python 3.10 on OSX.)
Note that you can combine multiple Halide libraries into a single Python module; this is convenient for packagaing, but also because all the libraries in a single extension module share the same Halide runtime (and thus, the same caches, thread pools, etc.).
add_halide_library(xor_filter ...)
add_halide_library(and_filter ...)
add_halide_library(or_filter ...)
add_halide_python_extension_library(my_extension
MODULE_NAME my_module
HALIDE_LIBRARIES xor_filter and_filter or_filter)
Note that you must take care to ensure that all of the add_halide_library
targets
specified use the same Halide runtime; it may be necessary to use add_halide_runtime
to define an explicit runtime that is shared by all of the targets:
add_halide_runtime(my_runtime)
add_halide_library(xor_filter USE_RUNTIME my_runtime ...)
add_halide_library(and_filter USE_RUNTIME my_runtime ...)
add_halide_library(or_filter USE_RUNTIME my_runtime ...)
add_halide_python_extension_library(my_extension
MODULE_NAME my_module
HALIDE_LIBRARIES xor_filter and_filter or_filter)
If you're not using CMake, you can "drive" a Generator directly from your build system via command-line flags. The most common, minimal set looks something like this:
python3 /path/to/my/generator.py -g <registered-name> \
-o <output-dir> \
target=<halide-target-string> \
[generator-param=value ...]
The argument to -g
is the name supplied to the @hl.generator
decorator. The
argument to -o is a directory to use for the output files; by default, we'll
produce a static library containing the object code, and a C++ header file with
a forward declaration. target
specifies a Halide Target
string decribing the
OS, architecture, features, etc that should be used for compilation. Any other
arguments to the command line that don't begin with -
are presumed to name
GeneratorParam
values to set.
There are other flags and options too, of course; use python3 /path/to/my/generator.py -help
to see a list with explanations.
(Unfortunately, there isn't (yet) a way to produce a Python Extension just by
running a Generator; the logic for add_halide_python_extension_library
is currently all
in the CMake helper files.)
As long as the shared library is in PYTHONPATH
, it can be imported and used
directly. For the example above:
from my_module import xor_filter
from halide import imageio
import numpy as np
# Read in some file for input
input_buf = imageio.imread("/path/to/some/file.png")
assert input_buf.ndim == 2
assert input_buf.dtype == np.uint8
# create a Buffer-compatible object for the output; we'll use np.array
output_buf = np.empty(input_buf.shape, dtype=input_buf.dtype)
# Note, Python code throws exception for error conditions rather than returning an int
xor_filter(input_buf, 0xff, output_buf)
# Note also that we can use named arguments for any/all, in the Python manner:
# xor_filter(input=input_buf, mask=0xff, output=output_buf)
imageio.imwrite("/tmp/xored.png", output_buf)
Above, we're using common Python utilities (numpy
) to construct the
input/output buffers we want to pass to Halide.
Note: Getting the memory order correct can be a little confusing for numpy.
By default numpy uses "C-style"
row-major
order, which sounds like the right option for Halide; however, this nomenclature
assumes the matrix-math convention of ordering axes as [rows, cols]
, whereas
Halide (and imaging code in general) generally assumes [x, y]
(i.e., [cols, rows]
). Thus what you usually want in Halide is column-major ordering. This
means numpy arrays, by default, come with the wrong memory layout for Halide.
But if you construct the numpy arrays yourself (like above), you can pass
order='F'
to make numpy use the Halide-compatible memory layout. If you're
passing in an array constructed somewhere else, the easiest thing to do is to
.transpose()
it before passing it to your Halide code.)
A Generator alias is a way to associate a Generator with one (or more) specific
sets of GeneratorParams; the 'alias' is just another registered name. This
offers a convenient alternative to specifying multiple sets of GeneratorParams
via the build system. To define alias(es) for a Generator, just add the
@hl.alias
decorator before @hl.generator
decorator:
@hl.alias(
xor_generator={"op": "xor"},
and_generator={"op": "and"},
or_generator={"op": "or"}
)
@hl.generator("logical_op_generator")
class LogicalOpGenerator:
...
If you need to build Input
and/or Output
dynamically, you can define a
configure()
method. It will always be called after all GeneratorParam
values
are valid, but before generate()
is called. Let's take our example and add an
option to pass an offset to be added after the logical operator is done:
import halide as hl
x = hl.Var('x')
y = hl.Var('y')
_operators = {
'xor': lambda a, b: a ^ b,
'and': lambda a, b: a & b,
'or': lambda a, b: a | b
}
# Apply a mask value to a 2D image using a logical operator that is selected at compile-time.
@hl.generator(name = "logical_op_generator")
class LogicalOpGenerator:
op = hl.GeneratorParam("xor")
with_offset = hl.GeneratorParam(False)
input = hl.InputBuffer(hl.UInt(8), 2)
mask = hl.InputScalar(hl.UInt(8))
output = hl.OutputBuffer(hl.UInt(8), 2)
def configure(g):
# If with_offset is specified, we
if g.with_offset:
g.add_input("offset", hl.InputScalar(hl.Int(32)))
# See note the use of 'g' instead of 'self' here
def generate(g):
# Algorithm
operator = _operators[g.op]
if hasattr(g, "offset"):
g.output[x, y] = operator(g.input[x, y], g.mask) + g.offset
else:
g.output[x, y] = operator(g.input[x, y], g.mask)
# Schedule
v = g.natural_vector_size(hl.UInt(8))
g.output.vectorize(x, v)
if __name__ == "__main__":
hl.main()
The only thing you can (usefully) do from configure()
is to call add_input()
or add_output()
, which accept only the appropriate Input
or Output
classes. The resulting value is stored as a member variable with the name
specified (if there is already a member with the given name, an exception is
thrown).
Each Generator has a class method (injected by @hl.generator
) that allows you
to "call" the Generator like an ordinary function; this allows you to directly
take the Halide IR produced by the Generator and do anything you want to with
it. This can be especially useful when writing library code, as you can
'compose' more complex pipelines this way.
This method is named call()
and looks like this:
@classmethod
def call(cls, *args, **kwargs):
...
It takes the inputs (specified either by-name or by-position in the usual Python
way). It also allows for an optional by-name-only argument, generator_params
,
which is a simple Python dict that allows for overriding GeneratorParam
s. It
returns a tuple of the Output values. For the earlier example, usage might be
something like:
import LogicalOpFilter
x, y = hl.Var(), hl.Var()
input_buf = hl.Buffer(hl.UInt(8), [2, 2])
mask_value = 0x7f
# Inputs by-position
func_out = LogicalOpFilter.call(input_buf, mask_value)
# Inputs by-name
func_out = LogicalOpFilter.call(mask=mask_value, input=input_buf)
# Above again, but with generator_params
func_out = LogicalOpFilter.call(input_buf, mask_value,
generator_params = {"op": "and"})
func_out = LogicalOpFilter.call(generator_params = {"op": and},
input=input_buf, mask=mask_value)
Whether being driven by a build system (for AOT use) or by another piece of Python code (typically for JIT use), the lifecycle of a Generator looks something like this:
- An instance of the Generator in question is created. It uses the
currently-active
GeneratorContext
(which contains theTarget
to be used for code generation), which is stored in a thread-local stack. - Some (or all) of the default values of the
GeneratorParam
members may be replaced based on (e.g.) command-line arguments in the build system - All
GeneratorParam
members are made immutable. - The
configure()
method is called, allowing the Generator to useadd_input()
oradd_output()
to dynamically add inputs and/or outputs. - If any
Input
orOutput
members were defined with unspecified type or dimensions (e.g.some_input = hl.InputBuffer(None, 3)
), those types and dimensions are filled in fromGeneratorParam
values (e.g.some_input.type
in this case). If any types or dimensions are left unspecified after this step, an exception will be thrown. - If the Generator is being invoked via its
call()
method (see below), the default values forInputs
will be replaced by the values from the argument list. - The Generator instance has its
generate()
method called. - The calling code will extract the values of all
Output
values and validate that they match the type, dimensions, etc of the declarations. - The calling code will then either call
compile_to_file()
and friends (for AOT use), or return the output values to the caller (for JIT use). - Finally, the Generator instance will be discarded, never to be used again.
Note that almost all of the code doing the hand-wavy bits above is injected by
the @hl.generator
decorator – the Generator author doesn't need to know or
care about the specific details, only that they happen.
All Halide Generators are single-use instances – that is, any given
Generator instance should be used at most once. If a Generator is to be executed
multiple times (e.g. for different GeneratorParam
values, or a different
Target
), a new one must be constructed each time.
If you have written C++ Generators in Halide in the past, you might notice some features are missing and/or different for Python Generators. Among the differences are:
- In C++, you can create a Generator, then call
set_generatorparam_value()
to alter the values of GeneratorParams. In Python, there is no public method to alter a GeneratorParam after the Generator is created; instead, you must pass a dict of GeneratorParam values to the constructor, after which the values are immutable for that Generator instance. - Array Inputs/Outputs: in our experience, they are pretty rarely used, it complicates the implementation in nontrivial ways, and the majority of use cases for them can all be reasonably supported by dynamically adding inputs or outputs (and saving the results in a local array).
Input<Func>
andOutput<Func>
: these were deliberately left out in order to simplify Python Generators. It's possible that something similar might be added in the future.- GeneratorParams with LoopLevel types: these aren't useful without
Input<Func>
/Output<Func>
. - GeneratorParams with Enum types: using a plain
str
type in Python is arguably just as easy, if not easier. get_externs_map()
: this allows registering ExternalCode objects to be appended to the Generator's code. In our experience, this feature is very rarely used. We will consider adding this in the future if necessary.- Lazy Binding of Unspecified Input/Output Types: for C++ Generators, if you
left an Output's type (or dimensionality) unspecified, you didn't always
have to specify a
GeneratorParam
to make it into a concrete type: if the type was always fully specified by the contents of thegenerate()
method, that was good enough. In Python Generators, by contrast, all types and dimensions must be explicitly specified by either code declaration or byGeneratorParam
setting. This simplifies the internal code in nontrivial ways, and also allows for (arguably) more readable code, since there are no longer cases that require the reader to execute the code in their head in order to deduce the output types.
If you use the Halide Bindings for Python inside Google, you are strongly encouraged to subscribe to announcements for new releases of Halide, as it is likely that enhancements and tweaks to our Python support will be made in future releases.
The Python bindings use the same MIT license as Halide.
Python bindings provided by Connelly Barnes (2012-2013), Fred Rotbart (2014), Rodrigo Benenson (2015) and the Halide open-source community.