Integrating ODEs on the GPU using boost and python - boost

I posted here not too long ago about a model I am trying to build using pycuda which solves About 9000 coupled ODEs. My model is too slow however and an SO member suggested that memory transfers from host to GPU is probably the culprit.
Right now cuda is being used only to calculate the rate of change of each of the 9000 species I am dealing with. Since I am passing in an array from the host to the GPU to perform this calculation and returning an array from the GPU to integrate on the host I can see how this would slow things down.
Would boost be the solution to my problem? From what I read, boost allows interoperability between c++ and python. It also includes c++ odeint , which I read, partnered with thrust allows quick reduction and integration all on the GPU. Is my understanding correct?
Thank you,
Karsten

Yes, boost.odeint and boost.python should solve your problem. You can use odeint with Thrust. There are also some OpenCL libraries (VexCL, ViennaCL) which might be easier to use then Thrust. Have a look at thist paper for a comparions and for use cases of odeint on GPUs.
Boost.python can do the communication between the C++ application and Python. Another approach would be a very slim command line application for solving the ODE (using boost.odeint) and which is entirely controlled by your python application.

Related

Alternative for dynamic parallelism for CUDA

I am very new to the CUDA programming model and programming in general, I suppose. I'm attempting to parallelize an expectation maximization algorithm. I am working on a gtx 480 which has compute capability 2.0. At first, I sort of assumed that there's no reason for the device to launch its own threads, but of course, I was sadly mistaken. I came across this pdf.
http://docs.nvidia.com/cuda/pdf/CUDA_Dynamic_Parallelism_Programming_Guide.pdf
Unfortunately, dynamic parallelism only works on the latest and greatest GPUs, with compute capability 3.5. Without diving into too much specifics, what is the alternative to dynamic parallelism? The loops in the CPU EM algorithm have many dependencies and are highly nested, which seems to make dynamic parallelism an attractive ability. I'm not sure if my question makes sense so please ask if you need clarification.
Thank you!
As indicated by #JackOLantern, dynamic parallelism can be described in a nutshell as the ability to call a kernel (i.e. a __global__ function) from device code (a __global__ or __device__ function).
Since the kernel call is the principal method by which the machine spins up multiple threads in response to a single function call, there is really no direct alternative that provides all the capability of dynamic parallelism in a device that does not support it (ie. pre cc 3.5 devices).
Without dynamic parallelism, your overall code will almost certainly involve more synchronization and communication between CPU code and GPU code.
The principal method would be to realize some unit of your code as parallelizable, convert it to a kernel, and work through your code in essentially a non-nested fashion. Repetetive functions might be done via looping in the kernel, or else looping in the host code that calls the kernel.
For a pictorial example of what I am trying to describe, please refer to slide 14 of this deck which introduces some of the new features of CUDA 5 including dynamic parallelism. The code architecture on the right is an algorithm realized with dynamic parallelism. The architecture on the left is the same function realized without dynamic parallelism.
I have checked your algorithm in Wikipedia and I'm not sure you need dynamic parallelism at all.
You do the expectation step in your kernel, __syncthreads(), do the maximization step, and __syncthreads() again. From this distance, the expectation looks like a reduction primitive, and the maximization is a filter one.
If it doesn't work, and you need real task parallelism, a GPU may not be the best choice. While the Kepler GPUs can do that to some degree, this is not what this architecture is designed for. In that case you might be better off using a multi-CPU system, such as an office grid, a supercomputer, or a Xeon Phi accelerator. You should also check OpenMP and MPI, these are the languages used for task-parallel programming (actually OpenMP is just a handful of pragmas in most cases).

Scientific library in C/C with OpenMP

I have to exploit PpenMP in some algorithm and for this purpose I need some mathematical functions, like eig or svd as it is available in MATLAB and it is quite fast in MATLAB. I already tried the following libraries with OpenMP
GSL - GNU Scientific Library
Eigen C++ template library
but I don't know why my OpenMP parallelised code is much slower than the serial code, may be there is some thing wrong in the library, or that the function random, eig or svd are blocking? I have no idea how to figure it out, can some body suggest me which is most compatible math library with OpenMP.
I can recommend Intel's MKL; note that it costs money which may affect your decision. I neither know nor care what language(s) it is written in, just so long as it provides APIs callable from my chosen language. Mine is Fortran, but it has bindings for C too
If you look around SO you'll find many questions from people whose first (or second or third) OpenMP programs were actually slower than their serial versions. Look at some of the answers. Don't conclude that there is a magic bullet, in the shape of a library, to make your code faster. Instead, realise that it is most likely that you've written a poorly-parallelised program and fix that.
Finally, if you have an installation of Matlab, don't expect to be able to write your own routines to outperform Matlab's. I won't say it can't be done, but I think you'll find it very difficult.
GSL is compatible with OpenMP. You can try with Intel Math Kernel Library which comes as a trial version for free.
If the speed up is not so much, then probably the code is not much parallelizable. You may want to debug and see the details of the running threads in Intel Thread Checker, that could be helpful to see where the bottlenecks are.
I think you just want to find a fast implementation of lapack (or related routines) which is already threaded, but it's a little hard to tell from your question. High Performance Mark suggests MKL, which is an excellent example; others include ATLAS or FLAME which are open source but take some doing to build.

GPU Programming?

I'm new to the GPU Programming world, I've tried reading on Wikipedia and Googling, but I still have several questions:
I downloaded some GPU Examples, for CUDA, there were some .cu files and some CPP files, but all the code was normal C/C++ Code just some weird functions like cudaMemcpyToSymbol and the rest was pure c code. The question is, is the .cu code compiled with nvcc and then linked with gcc? Or how is it programmed?
if I coded something to be run on GPU, will it run on ALL GPUs? or just CUDA? or is there a method to write for CUDA and a Method to write for ATI and a method to write for both?
To answer your second question:
OpenCL is the (only) way to go if you want to write platform independent GPGPU code.
ATIs website actually has a lot of resources for OpenCL if you search a little, and their example projects are very easy to modify into what you need, or just to understand the code.
The OpenCL spec and reference pages is also a very good source of knowledge:
http://www.khronos.org/registry/cl/sdk/1.1/docs/man/xhtml/
http://www.khronos.org/registry/cl/specs/opencl-1.1.pdf
There are a lot of talks that explain some of the core concepts, and also that explain how to write fast code that I would recommend (that is applicable to CUDA too).
To almost answer your first question:
In OpenCL, the code is compiled at runtime to the specific GPU you're using (to guarantee speed).
You probably want to do some background reading on CUDA - it's not something you can just pick up by looking at a few code samples. There are about 3 different CUDA books on Amazon now, and there is a lot of reference material at http://developer.nvidia.com.
To answer your questions:
yes, .cu files are compiled with nvcc to an intermediate form (PTX) - this is subsequently converted to GPU-specific code at run-time
the generated code will run on a subset of nVidia GPUs, the size of the subset depending on what CUDA capabilities you use in your code
completing the answer given by #nulvinge, I'd say that OpenCL its to GPU Programming like OpenGL is to GPU Rendering. But its not the only option for multi-architecture development, you could also use DirectCompute, but I wouldn't say that its the best option, just if you want your code running on every DirectX11 compatible GPUs, that includes some intel graphics cards chips too right?
But even if you are thinking in doing some GPU programming with OpenCL, do not forget to study the architecture of the platforms that you're using. ATI CPUs, GPUs and NVIDIA GPUs have big differences and your code is needed to be tuned for each platform that you're using if you want to get the most of it...
Fortunately both NVIDIA and AMD have Programming Guides to help you:)
In addition to previous answers, for CUDA you would need a NVIDIA card/GPU, unless you have access for a remote one, which I would recommend this course from Coursera:
Heterogeneous Parallel Programming
It not just gives an introduction to CUDA and OpenCL, memory model, tiling, handling boundary conditions and performance considerations, but also directive-based languages such as OpenACC, a high level language for expressing parallelism into your code, leaving mostly of the parallel programming work for the compiler (good to start with). Also, this course has a online platform where you can use their GPU, which is good to start GPU programming without concerning about software/hardware setup.
If you want to write a portable code which you can execute on different GPU devices and also on CPUs. You need to use OpenCL.
Actually, to configure your kernel you need to write a host code in C. The configuration file might be shorter if you want to write it for CUDA kernels comparing to OpenCL one.

How can this linear solver be linked within Mathematica?

Here is a good linear solver named GotoBLAS. It is available for download and runs on most computing platforms. My question is, is there an easy way to link this solver with the Mathematica kernel, so that we can call it like LinearSolve? One thing most of you may agree on for sure is that if we have a very large Linear system then we better get it solved by some industry standard Linear solver. The inbuilt solver is not meant for really large problems.
Now that Mathematica 8 has come up with better compilation and library link capabilities we can expect to use some of those solvers from within Mathematica. The question is does that require little tuning of the source code, or you need to be an advanced wizard to do it. Here in this forum we may start linking some excellent open source programs like GotoBLAS with Mathematica and exchange our views. Less experienced people can get some insight from the pro users and at the end we get a much stronger Mathematica. It will be an open project for the ever increasing Mathematica community and a platform where these newly introduced capabilities of Mathematica 8 could be transparently documented for future users.
I hope some of you here will give solid ideas on how we can get GotoBLAS running from within Mathematica. As the newer compilation and library link capabilities are usually not very well documented, they are not used by the common users very often. This question can act as a toy example to document these new capabilities of Mathematica. Help in this direction by the experienced forum members will really lift the motivation of new users like me as well as it will teach us a very useful thing to extend Mathematica's number crunching arsenal.
The short answer, I think, is that this is not something you really want to do.
GotoBLAS, as I understand it, is a specific implementation of BLAS, which stands for Basic Linear Algebra Subroutines. "Basic" really means quite basic here - multiply a matrix times a vector, for example. Thus, BLAS is not a solver that a function like LinearSolve would call. LinearSolve would (depending on the exact form of the arguments) call a LAPACK command, which is a higher level package built on top of BLAS. Thus, to really link GotoBLAS (or any BLAS) into Mathematica, one would really need to recompile the whole kernel.
Of course, one could write a C/Fortran program that was compiled against GotoBLAS and then link that into Mathematica. The resulting program would only use GotoBLAS when running whatever specific commands you've linked into Mathematica, however, which rather misses the whole point of BLAS.
The Wolfram Kernel (Mathematica) is already linked to the highly-optimized Intel Math Kernel Library, and is distributed with Mathematica. The MKL is multithreaded and vectorized, so I'm not sure what GotoBLAS would improve upon.

Efficient EigenSolver Implementation

I am looking for an efficient eigensolver ( language not important, although I would be programming in C#), that utilizes the multi-core features found in modern CPU. Being able to work directly with pardiso solver is a major plus. My matrix are mostly sparse matrix, so an ideal solver should be able to take advantage of this fact and greatly enhance the memory usage and performance.
So far I have only found LAPACK and ARPACK. The LAPACK, as implemented in Intel MKL, is a good candidate, as it offers multi-core optimization. But it seems that the drivers inside the LAPACK don't work directly with pardiso solver, furthermore, it seems that they don't take advantage of sparse matrix ( but I am not sure on this point).
ARPACK, on the other hand, seems to be pretty hard to setup in Windows environment, and the parallel version, PARPACK, doesn't work so well. The bonus point is that it can work with pardiso solver.
The best would be Intel MKL + ARPACK with multi-core speedup. Not sure whether there is any existing implementations that already do what I want to do?
I'm working on a problem with needs very similar to the ones you state. I'm considering FEAST:
http://www.ecs.umass.edu/~polizzi/feast/index.htm
I'm trying to make it work right now, but it seems perfect. I'm interested in hearing what your experience with it is, if you use it.
cheers
Ned
Have a look at the Eigen2 library.
I've implemented it already, in C#.
The idea is that one must convert the matrix format in CSR format. Then, one can use MKL to compute linear equation solving algorithm ( using pardiso solver), the matrix-vector manipulation.

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