The easiest way to create CUDA® kernels is to place the coder.gpu.kernelfun
pragma into your primary
MATLAB® function. The primary function is also known as the
top-level or entry-point function.
When the GPU Coder™ encounters kernelfun
pragma, it attempts to
parallelize all the computation within this function and then maps it to the
GPU.
In this tutorial, you learn how to:
Prepare your MATLAB code for CUDA code generation by using the kernelfun
pragma.
Create and set up a GPU Coder project.
Define function input properties.
Check for code generation readiness and run-time issues.
Specify code generation properties.
Generate CUDA code by using the codegen
command.
This tutorial requires the following products:
MATLAB
MATLAB Coder™
GPU Coder
C compiler
NVIDIA® GPU enabled for CUDA
CUDA toolkit and driver
Environment variables for the compilers and libraries. For more information, see Environment Variables
You do not have to be familiar with the algorithm in the example to complete the tutorial.
The Mandelbrot set is the region in the complex plane consisting of the values z0 for which the trajectories defined by
remain bounded at k→∞. The overall geometry of the Mandelbrot set is shown in the figure. This view does not have the resolution to show the richly detailed structure of the fringe just outside the boundary of the set. At increasing magnifications, the Mandelbrot set exhibits an elaborate boundary that reveals progressively finer recursive detail.
For this tutorial, pick a set of limits that specify a highly zoomed part of the Mandelbrot set in the valley between the main cardioid and the p/q bulb to its left. A 1000x1000 grid of real parts (x) and imaginary parts (y) is created between these two limits. The Mandelbrot algorithm is then iterated at each grid location. An iteration number of 500 is enough to render the image in full resolution.
maxIterations = 500; gridSize = 1000; xlim = [-0.748766713922161, -0.748766707771757]; ylim = [ 0.123640844894862, 0.123640851045266];
An implementation of the Mandelbrot set by using standard MATLAB commands running on the CPU is shown. This implementation is based on the code provided in the “Experiments with MATLAB” e-book by Cleve Moler. This calculation is vectorized such that every location is updated simultaneously.
Create a MATLAB script called mandelbrot_count.m
with the
following lines of code. This code is a baseline vectorized MATLAB implementation of the Mandelbrot set. Later in this tutorial, you
modify this file to make it suitable for code
generation.
function count = mandelbrot_count(maxIterations, xGrid, yGrid) % mandelbrot computation z0 = xGrid + 1i*yGrid; count = ones(size(z0)); z = z0; for n = 0:maxIterations z = z.*z + z0; inside = abs(z)<=2; count = count + inside; end count = log(count);
Create a MATLAB script called mandelbrot_test.m
with the
following lines of code. The script generates 1000 x 1000 grid of real parts
(x) and imaginary parts (y) between
the limits specified by xlim
and ylim
. It
also calls the mandelbrot_count
function and plots the
resulting Mandelbrot set.
maxIterations = 500; gridSize = 1000; xlim = [-0.748766713922161, -0.748766707771757]; ylim = [ 0.123640844894862, 0.123640851045266]; x = linspace( xlim(1), xlim(2), gridSize ); y = linspace( ylim(1), ylim(2), gridSize ); [xGrid,yGrid] = meshgrid( x, y ); %% Mandelbrot computation in MATLAB count = mandelbrot_count(maxIterations, xGrid, yGrid); % Show figure(1) imagesc( x, y, count ); colormap([jet();flipud( jet() );0 0 0]); axis off title('Mandelbrot set with MATLAB');
Before making the MATLAB version of the Mandelbrot set algorithm suitable for code generation, you can test the functionality of the original code.
Change the current working folder of MATLAB to the location that contains the two files you created in the previous step. GPU Coder places generated code in this folder, change your current working folder if you do not have full access to this folder.
Open the mandelbrot_test
script in the
MATLAB Editor.
Run the test script by clicking the run button or by entering
mandelbrot_test
in the MATLAB Command Window.
The test script runs and shows the geometry of the Mandelbrot
within the boundary set by the variables xlim
and
ylim
.
To begin the process of making your MATLAB code suitable for code generation, use the file
mandelbrot_count.m
.
Set your MATLAB current folder to the work folder that contains your files for this tutorial.
In the MATLAB Editor, open mandelbrot_count.m
. The
file opens in the MATLAB Editor. The Code Analyzer message indicator in the top
right corner of the MATLAB Editor is green. The analyzer did not detect errors,
warnings, or opportunities for improvement in the code.
Turn on MATLAB for code generation error checking. After the function
declaration, add the %#codegen
directive.
function count = mandelbrot_count(maxIterations, xGrid, yGrid) %#codegen
The Code Analyzer message indicator remains green, indicating that it has not detected code generation issues.
To map the mandelbrot_count
function to a
CUDA kernel, modify the original MATLAB code by placing the coder.gpu.kernelfun
pragma outside the for
-loop body.
function count = mandelbrot_count(maxIterations, xGrid, yGrid) %#codegen % mandelbrot computation z0 = xGrid + 1i*yGrid; count = ones(size(z0)); % Add Kernelfun pragma to trigger kernel creation coder.gpu.kernelfun; z = z0; for n = 0:maxIterations z = z.*z + z0; inside = abs(z)<=2; count = count + inside; end count = log(count);
When using the coder.gpu.kernelfun
pragma,
GPU Coderattempts to map the computations in the function
mandelbrot_count
to the GPU.
Save the file. You are now ready to compile your code by using the command-line interface.
You can use the codegen
command to translate
MATLAB functions to a CUDA compatible C/C++ static or dynamic library, executable, or MEX
function, instead of using the GPU Coder app.
At compile time, GPU Coder must know the data types of all the inputs to the entry-point
function. Therefore, if your entry-point function has inputs, you must
specify its data type at the time that you compile the file with the
codegen
function.
You can generate inputs and then use the -args
option
in the codegen
function to let GPU Coder determine the class, size, and complexity of the input
parameters. To generate inputs for mandelbrot_count
function, use these commands:
maxIterations = 500; gridSize = 1000; xlim = [-0.748766713922161, -0.748766707771757]; ylim = [ 0.123640844894862, 0.123640851045266]; x = linspace( xlim(1), xlim(2), gridSize ); y = linspace( ylim(1), ylim(2), gridSize ); [xGrid,yGrid] = meshgrid( x, y );
Alternatively, you can specify the size, type and complexity of the inputs
to the entry-point functions without generating input data by using the
coder.typeof
function.
ARGS = cell(1,1); ARGS{1} = cell(3,1); ARGS{1}{1} = coder.typeof(0); ARGS{1}{2} = coder.typeof(0,[1000 1000]); ARGS{1}{3} = coder.typeof(0,[1000 1000]);
To configure build settings such as output file name, location, type, you
have to create coder configuration objects. To create the objects, use the
coder.gpuConfig
function. For example, to create a coder.MexCodeConfig
code
generation object for use with codegen
when generating a
MEX function, use:
cfg = coder.gpuConfig('mex');
Other available options are:
cfg = coder.gpuConfig('lib');
, to create a
code generation configuration object for use with
codegen
when generating a CUDA C/C++ static library.
cfg = coder.gpuConfig('dll');
, to create a
code generation configuration object for use with
codegen
when generating a CUDA C/C++ dynamic library.
cfg = coder.gpuConfig('exe');
, to create a
code generation configuration object for use with
codegen
when generating a CUDA C/C++ executable.
For more information, see coder.gpuConfig
.
Each configuration object comes with a set of parameters, initialized to default values. You can use dot notation to modify the value of one configuration object parameter at a time. Use this syntax:
configuration_object.property = value
You can enable the same settings as in the Code Generation by Using the GPU Coder App by using the following command-line equivalents:
cfg = coder.gpuConfig('mex'); cfg.GpuConfig.CompilerFlags = '--fmad=false'; cfg.GenerateReport = true;
The cfg
configuration object has configuration
parameters that are common to MATLAB
Coder and GPU Coder and parameters that are GPU Coder-specific. You can see all the GPU-specific properties
available in the cfg
configuration object by typing
cfg.GpuConfig
in the MATLAB Command
Window.
>> cfg.GpuConfig ans = config with properties: Enabled: 1 MallocMode: 'discrete' KernelNamePrefix: '' EnableCUBLAS: 1 EnableCUSOLVER: 1 EnableCUFFT: 1 Benchmarking: 0 SafeBuild: 0 ComputeCapability: '3.5' CustomComputeCapability: '' CompilerFlags: '' StackLimitPerThread: 1024 MallocThreshold: 200 SelectCudaDevice: -1
The --fmad=false
flag when passed to the
nvcc
, instructs the compiler to disable
Floating-Point Multiply-Add (FMAD) optimization. This option is set to
prevent numerical mismatch in the generated code because of architectural
differences in the CPU and the GPU. For more information, see Numerical Differences Between CPU and GPU.
For more information on configuration parameters that are common to
MATLAB
Coder and GPU Coder, see coder.CodeConfig
class.
You can create a build script mandelbrot_codegen.m
that
automates the series of commands mentioned
previously.
% GPU code generation for getting started example (mandelbrot_count.m) %% Create configuration object of class 'coder.MexCodeConfig'. cfg = coder.gpuConfig('mex'); cfg.GenerateReport = true; cfg.GpuConfig.CompilerFlags = '--fmad=false'; %% Define argument types for entry-point 'mandelbrot_count'. ARGS = cell(1,1); ARGS{1} = cell(3,1); ARGS{1}{1} = coder.typeof(0); ARGS{1}{2} = coder.typeof(0,[1000 1000]); ARGS{1}{3} = coder.typeof(0,[1000 1000]); %% Invoke GPU Coder. codegen -config cfg mandelbrot_count -args ARGS{1}
The codegen
command opens the file
mandelbrot_count.m
and translates the MATLAB code into CUDA code.
The -report
option instructs
codegen
to generate a code generation
report that you can use to debug your MATLAB code.
The -args
option instructs
codegen
to compile the file
mandelbrot_count.m
by using the class,
size, and complexity of the input parameters
maxIterations, xGrid,
and yGrid.
The -config
option instructs
codegen
to use the specified
configuration object for code generation.
When code generation is successful, you can view the resulting code generation report by clicking View Report in the MATLAB Command Window.
>> mandelbrot_codegen Code generation successful: View report
To verify correctness of the generated MEX file, see Verify Correctness of the Generated Code.