diff --git a/scratchspace_CU/.vscode/c_cpp_properties.json b/scratchspace_CU/.vscode/c_cpp_properties.json new file mode 100644 index 0000000..1292dc9 --- /dev/null +++ b/scratchspace_CU/.vscode/c_cpp_properties.json @@ -0,0 +1,16 @@ +{ + "configurations": [ + { + "name": "Linux", + "includePath": [ + "${workspaceFolder}/**" + ], + "defines": [], + "compilerPath": "/usr/lib64/ccache/gcc", + "cStandard": "c89", + "cppStandard": "c++14", + "intelliSenseMode": "linux-gcc-x64" + } + ], + "version": 4 +} \ No newline at end of file diff --git a/scratchspace_CU/Makefile b/scratchspace_CU/Makefile index 9074e78..3bf5d33 100644 --- a/scratchspace_CU/Makefile +++ b/scratchspace_CU/Makefile @@ -1,14 +1,17 @@ -CXX=g++ -LD=${CXX} -CXXFLAGS+=-Wall -Wextra -Werror -pedantic -std=c++11 -I${OPENBLAS_ROOT}/include -LDFLAGS+=-lm $(CXXFLAGS) -L${OPENBLAS_ROOT}/lib -lopenblas +NVCC = nvcc +CXX ?= g++ +CXXFLAGS += -O3 -Wall +NVCCFLAGS += -O3 -lcublas +LDFLAGS += $(NVCCFLAGS) -OBJS=cg_main.o cg.o matrix.o matrix_coo.o mmio.o +#Target Rules +cgsolver: cg_main.o cg.o matrix.o matrix_coo.o mmio.o + $(NVCC) $^ $(LDFLAGS) -o $@ -all: cgsolver +%.o:%.cu + $(NVCC) $(NVCCFLAGS) -c $< -o $@ -cgsolver: $(OBJS) - $(LD) -o $@ $(OBJS) $(LDFLAGS) +OBJS=cg_main.o cg.o matrix.o matrix_coo.o mmio.o clean: - rm -f cgsolver *.o *~ + rm -f cgsolver *.o *~ \ No newline at end of file diff --git a/scratchspace_CU/cg.cu b/scratchspace_CU/cg.cu new file mode 100644 index 0000000..dc2a7f3 --- /dev/null +++ b/scratchspace_CU/cg.cu @@ -0,0 +1,340 @@ +#include "cg.hh" +#include +#include +#include +#include +#include "cublas_v2.h" + +const bool DEBUG = true; +const bool USE_SHARED_MEM = true; + +/* + cgsolver solves the linear equation A*x = b where A is + of size m x n + +Code based on MATLAB code (from wikipedia ;-) ): + +function x = conjgrad(A, b, x) + r = b - A * x; + p = r; + rsold = r' * r; + + for i = 1:length(b) + Ap = A * p; + alpha = rsold / (p' * Ap); + x = x + alpha * p; + r = r - alpha * Ap; + rsnew = r' * r; + if sqrt(rsnew) < 1e-10 + break; + end + p = r + (rsnew / rsold) * p; + rsold = rsnew; + end +end + +*/ + +// Set acceleration parameters +void Solver::setAccelerationParams(const dim3 grid_size, const dim3 block_size) { + m_dimGrid = grid_size; + m_dimBlock = block_size; +} + +// Adapted from https://docs.nvidia.com/cuda/cuda-c-programming-guide/#memory-hierarchy + +// Perform vector - vector addition +// out = x + a * y +__global__ void VectAddKernel(const double* x, const double* y, double a, double* out, int N) { + // each thread computes one entry of result + int row = blockIdx.x * blockDim.x + threadIdx.x; + if (row >= N) return; + out[row] = x[row] + a * y [row]; // Coalesced access to x, y +} + +// Perform Matrix-vector product +// out = A * x +__global__ void MatVectProdKernel(const double* A, const double* x, double* out, int N) { + // Each thread computes one element of y = A * x + int row = blockIdx.x * blockDim.x + threadIdx.x; + if (row >= N) return; + double sum = 0.0; + for (int e = 0; e < N; e++) + sum += A[row * N + e] * x[row]; + out[row] = sum; +} + +/* +Perform matrix-vector product, but load chunks of x to shared memory first +Motivation: all threads need to read from x, leading to uncoalesed access from within the block +Memory allocation must be determined at compile time. I allocate the max amount of doubles +Memory size for shared memory allocation needs to be known at compile time. It is not, so we just allocate a big enough space and may not use all of it. +We can store 6144 double-precision numbers in shared memory (49152 bytes available on Tesla V100-PCIE-32GB). + +It's not possible to coalesce the thread accesses to A (unless we switch the arrays to be stored column-major style) and we +cannot load the needed chunks of A to shared memory because total needed space CHUNK_SIZE*(blockDim.x + 1) is too big for blockDim > 77. +*/ +#define MAX_CHUNK_SIZE 1024 +__global__ void LoadedMatVectProdKernel(const double* A, const double* x, double* out, int N) { + int row = blockIdx.x * blockDim.x + threadIdx.x; + if (row >= N) return; + assert(blockDim.x <= MAX_CHUNK_SIZE); + // iterate over chunks of x when computing the result + double sum = 0.0; + int numChunks = N / blockDim.x; + if (N % blockDim.x > 0) numChunks++; + for (int m = 0; m < numChunks; m++) { + // load chunk of x + __shared__ double xs[MAX_CHUNK_SIZE]; + xs[threadIdx.x] = x[m * blockDim.x + threadIdx.x]; + __syncthreads(); + + int numCols = blockDim.x; + if ((m + 1) * blockDim.x > N) numCols = N % blockDim.x; + for (int e = 0; e < numCols; e++) + sum += A[row * N + m * blockDim.x + e] * xs[e]; // Uncoalesced access to A + __syncthreads(); + } + // Return result + out[row] = sum; +} + +// -------------------------- +// Function that tests things +// -------------------------- +void CGSolver::testThings() { + // Create some interesting data + int n = 4; + double A [n * n]; + for (int i = 0; i < n * n; ++i) + A[i] = i; + + + // Show what A contains + std::cout << " A = " << std::endl; + std::cout << "["; + for (int row = 0; row < n; row++) { + std::cout << "["; + for (int col = 0; col < n; col++) + //std::cout << " " << A.elements[row*A.width + col] << " "; + std::cout << " " << A[row*n + col] << " "; + std::cout << "]" << std::endl; + } + std::cout << "]" << std::endl; + + double x[n]; + for (int i = 0; i < n; i++) + x[i] = 1.0; + + double y[n]; + for (int i = 0; i < n; i++) + y[i] = 0.0; + + // Load data to device + double* d_A, *d_x, *d_y; + cudaMalloc(&d_A, n * n * sizeof(double)); + cudaMalloc(&d_x, n * sizeof(double)); + cudaMalloc(&d_y, n * sizeof(double)); + cudaMemcpy(d_A, A, n * n * sizeof(double), cudaMemcpyHostToDevice); + cudaMemcpy(d_x, x, n * sizeof(double), cudaMemcpyHostToDevice); + cudaMemcpy(d_y, y, n * sizeof(double), cudaMemcpyHostToDevice); + + // Compute A * x, retrieve and display results + if (USE_SHARED_MEM) { + LoadedMatVectProdKernel<<>>(d_A, d_x, d_y, n); + } else { + MatVectProdKernel<<>>(d_A, d_x, d_y, n); + } + cudaMemcpy(y, d_y, n * sizeof(double), cudaMemcpyDeviceToHost); + std::cout << "A * x = " << std::endl; + for (int i = 0; i < n; i++) + std::cout << y[i] << std::endl; + + // Compute x + 3x, retrieve and display results + VectAddKernel<<>>(d_x, d_x, 3, d_y, n); + cudaMemcpy(y, d_y, n * sizeof(double), cudaMemcpyDeviceToHost); + std::cout << "x + 3x = " << std::endl; + for (int i = 0; i < n; i++) + std::cout << y[i] << std::endl; + + // Free memory + cudaFree(d_A); + cudaFree(d_x); + cudaFree(d_y); +} + + +void CGSolver::solve(std::vector & x) { + /* + Performs CG descent algorithm to find approximate solution x to linear system Ax=b. Uses Kernel functions + to compute scalar products, matrix-vector products, and vector-vector additions. + */ + + // -------------------------------------------- + // Before we actually start, let's test things: + // -------------------------------------------- + if (DEBUG) + testThings(); + + // --------------------------------------- + // cuBLAS setup for cublasDdot utilization + // --------------------------------------- + cublasHandle_t handle; + cublasStatus_t stat; + stat = cublasCreate(&handle); + if (stat != CUBLAS_STATUS_SUCCESS) { + printf ("CUBLAS runtime error creating cuBLAS handle\n"); + } + + // ---------------------------------- + // Load data A, b, x to device memory + // ---------------------------------- + double *d_A; + size_t size_A = m_A.m() * m_A.n() * sizeof(double); + cudaMalloc(&d_A, size_A); + cudaMemcpy(d_A, m_A.data(), size_A, cudaMemcpyHostToDevice); + + double *d_b; + size_t size_b = m_A.m() * sizeof(double); + cudaMalloc(&d_b, size_b); + cudaMemcpy(d_b, m_b.data(), size_b, cudaMemcpyHostToDevice); + + double *d_x; + cudaMalloc(&d_x, size_b); + cudaMemcpy(d_x, x.data(), size_b, cudaMemcpyHostToDevice); + + // ------------------------------------------------- + // Allocate memory for algorithm variables on device + // ------------------------------------------------- + double *d_r, *d_p, *d_Ap, *d_tmp; + cudaMalloc(&d_r, size_b); + cudaMalloc(&d_p, size_b); + cudaMalloc(&d_Ap, size_b); + cudaMalloc(&d_tmp, size_b); + + // --------------- + // Algorithm setup + // --------------- + // r = b - A * x; + if (USE_SHARED_MEM) + LoadedMatVectProdKernel<<>>(d_A, d_x, d_Ap, m_A.n()); + else + MatVectProdKernel<<>>(d_A, d_x, d_Ap, m_A.n()); + VectAddKernel<<>>(d_b, d_Ap, -1.0, d_r, m_A.m()); + + // p = r + cudaMemcpy(d_p, d_r, size_b, cudaMemcpyDeviceToDevice); + + // rsold = r' * r; + double rsold; + cublasDdot(handle, m_A.m(), d_r, 1, d_r, 1, &rsold); + + // ------------------- + // for i = 1:length(b) + // ------------------- + int k = 0; + for (; k < m_A.m(); ++k) { + // Ap = A * p + if (USE_SHARED_MEM) + LoadedMatVectProdKernel<<>>(d_A, d_p, d_Ap, m_A.n()); + else + MatVectProdKernel<<>>(d_A, d_p, d_Ap, m_A.n()); + + // alpha = rsold / (p' * Ap); + double pAp; + cublasDdot(handle, m_A.m(), d_p, 1, d_Ap, 1, &pAp); + auto alpha = rsold / pAp; + + // x = x + alpha * p; + VectAddKernel<<>>(d_x, d_p, alpha, d_x, m_A.m()); + + // r = r - alpha * Ap; + VectAddKernel<<>>(d_r, d_Ap, -alpha, d_r, m_A.m()); + + // rsnew = r' * r; + double rsnew; + cublasDdot(handle, m_A.m(), d_r, 1, d_r, 1, &rsnew); + + // p = r + (rsnew / rsold) * p; + auto beta = rsnew / rsold; + VectAddKernel<<>>(d_r, d_p, beta, d_p, m_A.m()); + + if (DEBUG && (k % 1000 == 0)) { + std::cout << "Rsold is " << rsold << std::endl; + std::cout << "pAp is " << pAp << std::endl; + std::cout << "alpha is " << alpha << std::endl; + std::cout << "rsnew is " << rsnew << std::endl; + std::cout << "beta is " << beta << std::endl; + } + + // rsold = rsnew; + rsold = rsnew; + + // if sqrt(rsnew) < 1e-10 + // break; + if (std::sqrt(rsnew) < m_tolerance) + break; // Convergence test + } + + if (DEBUG) { + // r = A * x + if (USE_SHARED_MEM) + LoadedMatVectProdKernel<<>>(d_A, d_x, d_r, m_A.n()); + else + MatVectProdKernel<<>>(d_A, d_x, d_r, m_A.n()); + + // r = r - b + VectAddKernel<<>>(d_r, d_b, -1.0, d_r, m_A.m()); + + // res = || r || / || b || + double rsnew; + stat = cublasDdot(handle, m_A.m(), d_r, 1, d_r, 1, &rsnew); + double bTb; + stat = cublasDdot(handle, m_A.m(), d_b, 1, d_b, 1, &bTb); + auto res = std::sqrt(rsnew / bTb); + double nx; + stat = cublasDdot(handle, m_A.m(), d_x, 1, d_x, 1, &nx); + + // Print results + std::cout << "\t[STEP " << k << "] residual = " << std::scientific + << std::sqrt(rsold) << ", ||x|| = " << nx + << ", ||Ax - b||/||b|| = " << res << std::endl; + } + + // --------------------------- + // Read solution x from device + // --------------------------- + cudaMemcpy(x.data(), d_x, size_b, cudaMemcpyDeviceToHost); + + // --------------------------- + // Deallocate memory on device + // --------------------------- + cudaFree(d_A); + cudaFree(d_b); + cudaFree(d_x); + cudaFree(d_r); + cudaFree(d_p); + cudaFree(d_Ap); + cudaFree(d_tmp); + + // Destroy cuBLAS handle + cublasDestroy(handle); +} + +void CGSolver::read_matrix(const std::string & filename) { + m_A.read(filename); + m_m = m_A.m(); + m_n = m_A.n(); +} + +/* +Initialization of the source term b +*/ +void Solver::init_source_term(double h) { + m_b.resize(m_n); + + for (int i = 0; i < m_n; i++) { + m_b[i] = -2. * i * M_PI * M_PI * std::sin(10. * M_PI * i * h) * + std::sin(10. * M_PI * i * h); + } +} diff --git a/scratchspace_CU/cg.hh b/scratchspace_CU/cg.hh index f0ebfae..8d88980 100644 --- a/scratchspace_CU/cg.hh +++ b/scratchspace_CU/cg.hh @@ -1,57 +1,47 @@ #include "matrix.hh" #include "matrix_coo.hh" -#include +#include #include #include #ifndef __CG_HH__ #define __CG_HH__ -/*v - * oid CGSolver::solve(std::vector & x) -void CGSolver::read_matrix(const std::string & filename) -void CGSolverSparse::solve(std::vector & x) -void CGSolverSparse::read_matrix(const std::string & filename) -void MatrixCSR::mvm(const std::vector & x, std::vector & y) -const void MatrixCSR::loadMMMatrix(const std::string & filename) void -Solver::init_source_term(int n, double h) -*/ class Solver { public: virtual void read_matrix(const std::string & filename) = 0; void init_source_term(double h); virtual void solve(std::vector & x) = 0; inline int m() const { return m_m; } inline int n() const { return m_n; } void tolerance(double tolerance) { m_tolerance = tolerance; } + // Set acceleration parameters + void setAccelerationParams(const dim3 grid_size, const dim3 block_size); + protected: int m_m{0}; int m_n{0}; std::vector m_b; double m_tolerance{1e-10}; + + // Acceleration parameters + dim3 m_dimGrid; + dim3 m_dimBlock; }; class CGSolver : public Solver { public: CGSolver() = default; virtual void read_matrix(const std::string & filename); virtual void solve(std::vector & x); -private: - Matrix m_A; -}; - -class CGSolverSparse : public Solver { -public: - CGSolverSparse() = default; - virtual void read_matrix(const std::string & filename); - virtual void solve(std::vector & x); + void testThings(); private: - MatrixCOO m_A; + Matrix m_A; }; #endif /* __CG_HH__ */ diff --git a/scratchspace_CU/cg.o b/scratchspace_CU/cg.o new file mode 100644 index 0000000..c91512a Binary files /dev/null and b/scratchspace_CU/cg.o differ diff --git a/scratchspace_CU/cg_main.cu b/scratchspace_CU/cg_main.cu new file mode 100644 index 0000000..e19dd25 --- /dev/null +++ b/scratchspace_CU/cg_main.cu @@ -0,0 +1,108 @@ +#include "cg.hh" +#include +#include +#include + +using clk = std::chrono::high_resolution_clock; +using second = std::chrono::duration; +using time_point = std::chrono::time_point; + +const bool DEBUG = false; + +static void usage(const std::string & prog_name) { + std::cerr << prog_name << " " << std::endl; + exit(0); +} + +/* +Implementation of a simple CG solver using matrix in the mtx format (Matrix +market) Any matrix in that format can be used to test the code +*/ +int main(int argc, char ** argv) { + // ------------------------- + // Read execution parameters + // ------------------------- + if (argc < 3) usage(argv[0]); + + int threadsPerBlock; + try { + threadsPerBlock = std::stoi(argv[1]); + } catch(std::invalid_argument &) { + usage(argv[0]); + } + + if (threadsPerBlock > 1024 || threadsPerBlock < 1) { + std::cout << "CUDA block size must be greater than 0 and smaller than 1024" << std::endl; + usage(argv[0]); + } + + CGSolver solver; + try { + solver.read_matrix(argv[2]); + } catch(std::invalid_argument &) { + usage(argv[0]); + } + + // --------------------------- + // CUDA error handling & setup + // --------------------------- + + // By default, we use device 0, + int dev_id = 0; + + cudaDeviceProp device_prop; + cudaGetDevice(&dev_id); + cudaGetDeviceProperties(&device_prop, dev_id); + if (device_prop.computeMode == cudaComputeModeProhibited) { + std::cerr << "Error: device is running in , no " + "threads can use ::cudaSetDevice()" + << std::endl; + return -1; + } + + auto error = cudaGetLastError(); + if (error != cudaSuccess) { + std::cout << "cudaGetDeviceProperties returned error code " << error + << ", line(" << __LINE__ << ")" << std::endl; + return error; + } else if (DEBUG) { + std::cout << "GPU Device " << dev_id << ": \"" << device_prop.name + << "\" with compute capability " << device_prop.major << "." + << device_prop.minor << std::endl; + } + + // ----------------------- + // Program execution begin + // ----------------------- + int n = solver.n(); + int m = solver.m(); + double h = 1. / n; + + int numBlocks = m / threadsPerBlock; + if (m % threadsPerBlock != 0) numBlocks++; + + dim3 grid_size(numBlocks); + dim3 block_size(threadsPerBlock); + + solver.setAccelerationParams(grid_size, block_size); + solver.init_source_term(h); + + std::vector x_d(n); + std::fill(x_d.begin(), x_d.end(), 0.); + + if (DEBUG) { + std::cout << "Call CG dense on matrix size " << m << " x " << n << ")" + << std::endl; + } + + auto t1 = clk::now(); + solver.solve(x_d); + second elapsed = clk::now() - t1; + + if (DEBUG) + std::cout << "Time for CG (dense solver) = " << elapsed.count() << " [s]\n"; + + std::cout << numBlocks << " " << threadsPerBlock << " " << elapsed.count() << std::endl; + + return 0; +} diff --git a/scratchspace_CU/cg_main.o b/scratchspace_CU/cg_main.o new file mode 100644 index 0000000..9c1900a Binary files /dev/null and b/scratchspace_CU/cg_main.o differ diff --git a/scratchspace_CU/cgsolver b/scratchspace_CU/cgsolver new file mode 100755 index 0000000..7f125bd Binary files /dev/null and b/scratchspace_CU/cgsolver differ diff --git a/scratchspace_CU/compile.sh b/scratchspace_CU/compile.sh new file mode 100644 index 0000000..c74e99e --- /dev/null +++ b/scratchspace_CU/compile.sh @@ -0,0 +1,17 @@ +#!/bin/bash + +echo Loading modules... +module purge +sleep 1s +module load gcc cuda +module list +sleep 1s # Sometimes modules arent loaded by the time script is calling make +echo -e "Done.\n" + +echo Cleaning up filespace... +make clean +echo -e "Done.\n" + +echo Compiling... +make +echo -e "Done.\n" \ No newline at end of file diff --git a/scratchspace_CU/debugrun.sh b/scratchspace_CU/debugrun.sh new file mode 100644 index 0000000..1165999 --- /dev/null +++ b/scratchspace_CU/debugrun.sh @@ -0,0 +1,20 @@ +#!/bin/bash + +# Load modules +module purge +module load gcc cuda +module list + +# Clean up filespace +rm slurm* +make clean + +# Compile +make + +# Run +sbatch run_once.sh + +# Display results +sleep 3s +cat slurm* \ No newline at end of file diff --git a/scratchspace_CU/first_results.out b/scratchspace_CU/first_results.out new file mode 100644 index 0000000..e34a431 --- /dev/null +++ b/scratchspace_CU/first_results.out @@ -0,0 +1,11 @@ +10000 1 37.0294 +5000 2 29.4947 +2500 4 26.2815 +1250 8 26.0061 +625 16 25.9283 +313 32 25.8595 +157 64 25.8028 +79 128 25.7244 +40 256 26.5825 +20 512 41.4474 +10 1024 79.8704 diff --git a/scratchspace_CU/good_results.out b/scratchspace_CU/good_results.out new file mode 100644 index 0000000..6719a3d --- /dev/null +++ b/scratchspace_CU/good_results.out @@ -0,0 +1,11 @@ +10000 1 15.2855 +5000 2 6.68775 +2500 4 3.24184 +1250 8 2.24101 +625 16 1.73935 +313 32 2.82291 +157 64 2.55599 +79 128 26.9364 +40 256 28.1704 +20 512 43.6233 +10 1024 91.7396 diff --git a/scratchspace_CU/looping.sh b/scratchspace_CU/looping.sh new file mode 100644 index 0000000..a36ac40 --- /dev/null +++ b/scratchspace_CU/looping.sh @@ -0,0 +1,24 @@ +#!/bin/bash + +#SBATCH --nodes=1 +#SBATCH --time=1:0:0 +#SBATCH --partition=gpu +#SBATCH --gres=gpu:1 +#SBATCH --qos=gpu_free +#SBATCH --account=math-454 +#SBATCH --reservation=Course-math-454-final + +# Clean working directory and call compiling script +rm slurm* +bash compile.sh + +# Prepare collection file +rm results.out +touch results.out + +# Running code with increasing number of threads per block +# Block sizes are divisors of maximum size 1024 +for BLOCK_SIZE in 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024 +do + srun ./cgsolver $BLOCK_SIZE lap2D_5pt_n100.mtx >> results.out +done \ No newline at end of file diff --git a/scratchspace_CU/matrix.o b/scratchspace_CU/matrix.o new file mode 100644 index 0000000..bcf13b3 Binary files /dev/null and b/scratchspace_CU/matrix.o differ diff --git a/scratchspace_CU/matrix_coo.o b/scratchspace_CU/matrix_coo.o new file mode 100644 index 0000000..58f9aec Binary files /dev/null and b/scratchspace_CU/matrix_coo.o differ diff --git a/scratchspace_CU/mmio.o b/scratchspace_CU/mmio.o new file mode 100644 index 0000000..53b5767 Binary files /dev/null and b/scratchspace_CU/mmio.o differ diff --git a/scratchspace_CU/results.out b/scratchspace_CU/results.out new file mode 100644 index 0000000..8858d19 --- /dev/null +++ b/scratchspace_CU/results.out @@ -0,0 +1,11 @@ +10000 1 80.0302 +5000 2 31.9184 +2500 4 12.4959 +1250 8 5.3871 +625 16 2.91928 +313 32 3.2951 +157 64 2.56259 +79 128 2.55917 +40 256 2.96655 +20 512 98.0094 +10 1024 191.352 diff --git a/scratchspace_CU/run_once.sh b/scratchspace_CU/run_once.sh new file mode 100644 index 0000000..16d7a52 --- /dev/null +++ b/scratchspace_CU/run_once.sh @@ -0,0 +1,13 @@ +#!/bin/bash + +# Script runs the program once, for debugging purposes + +#SBATCH --nodes=1 +#SBATCH --time=1:0:0 +#SBATCH --partition=gpu +#SBATCH --gres=gpu:1 +#SBATCH --qos=gpu_free +#SBATCH --account=math-454 +#SBATCH --reservation=Course-math-454-final + +srun ./cgsolver 512 lap2D_5pt_n100.mtx \ No newline at end of file diff --git a/scratchspace_CU/second_results.out b/scratchspace_CU/second_results.out new file mode 100644 index 0000000..a632da9 --- /dev/null +++ b/scratchspace_CU/second_results.out @@ -0,0 +1,11 @@ +10000 1 184.993 +5000 2 102.637 +2500 4 60.1317 +1250 8 36.0237 +625 16 17.7789 +313 32 13.023 +157 64 11.1753 +79 128 11.1336 +40 256 24.8383 +20 512 60.226 +10 1024 80.1781 diff --git a/scratchspace_CU/slurm-1211206.out b/scratchspace_CU/slurm-1211206.out new file mode 100644 index 0000000..6c296db --- /dev/null +++ b/scratchspace_CU/slurm-1211206.out @@ -0,0 +1,68 @@ + A = +[[ 0 1 2 3 ] +[ 4 5 6 7 ] +[ 8 9 10 11 ] +[ 12 13 14 15 ] +] +A * x = +6 +22 +38 +54 +x + 3x = +4 +4 +4 +4 +Rsold is 4.8612e+13 +pAp is 8.30586e+12 +alpha is 5.85274 +rsnew is 1.36685e+14 +beta is 2.81176 +Rsold is 1.01088e+10 +pAp is 1.11351e+12 +alpha is 0.00907832 +rsnew is 1.00457e+10 +beta is 0.993756 +Rsold is 1.26673e+08 +pAp is 2.65007e+10 +alpha is 0.00477997 +rsnew is 1.26143e+08 +beta is 0.995822 +Rsold is 6.23989e+06 +pAp is 3.07014e+09 +alpha is 0.00203245 +rsnew is 6.22922e+06 +beta is 0.99829 +Rsold is 2.70861e+06 +pAp is 2.51301e+09 +alpha is 0.00107783 +rsnew is 2.70627e+06 +beta is 0.999135 +Rsold is 963849 +pAp is 1.39484e+09 +alpha is 0.000691011 +rsnew is 963782 +beta is 0.99993 +Rsold is 664807 +pAp is 1.37756e+09 +alpha is 0.000482596 +rsnew is 665845 +beta is 1.00156 +Rsold is 529070 +pAp is 1.47835e+09 +alpha is 0.000357879 +rsnew is 529259 +beta is 1.00036 +Rsold is 353993 +pAp is 1.29281e+09 +alpha is 0.000273818 +rsnew is 354147 +beta is 1.00043 +Rsold is 287758 +pAp is 1.3365e+09 +alpha is 0.000215308 +rsnew is 287773 +beta is 1.00005 + [STEP 10000] residual = 5.464895e+02, ||x|| = 3.972812e+18, ||Ax - b||/||b|| = 7.838085e-05 +20 512 3.973167e+01 diff --git a/scratchspace_CU/third_results.out b/scratchspace_CU/third_results.out new file mode 100644 index 0000000..0147696 --- /dev/null +++ b/scratchspace_CU/third_results.out @@ -0,0 +1,11 @@ +10000 1 184.214 +5000 2 101.92 +2500 4 59.7305 +1250 8 36.7031 +625 16 23.9888 +313 32 18.679 +157 64 16.3611 +79 128 16.3414 +40 256 29.4862 +20 512 60.3651 +10 1024 116.959 diff --git a/scratchspace_CU_coalesced/.vscode/c_cpp_properties.json b/scratchspace_CU_coalesced/.vscode/c_cpp_properties.json new file mode 100644 index 0000000..1292dc9 --- /dev/null +++ b/scratchspace_CU_coalesced/.vscode/c_cpp_properties.json @@ -0,0 +1,16 @@ +{ + "configurations": [ + { + "name": "Linux", + "includePath": [ + "${workspaceFolder}/**" + ], + "defines": [], + "compilerPath": "/usr/lib64/ccache/gcc", + "cStandard": "c89", + "cppStandard": "c++14", + "intelliSenseMode": "linux-gcc-x64" + } + ], + "version": 4 +} \ No newline at end of file diff --git a/scratchspace_CU_coalesced/A_not_shared_results.out b/scratchspace_CU_coalesced/A_not_shared_results.out new file mode 100644 index 0000000..f9cda08 --- /dev/null +++ b/scratchspace_CU_coalesced/A_not_shared_results.out @@ -0,0 +1,16 @@ +5000 2 5.94117 +2500 4 2.29888 +1667 6 30.609 +1250 8 2.11874 +1000 10 2.3975 +834 12 18.8002 +715 14 5.1116 +625 16 2.10945 +556 18 22.2492 +500 20 2.0656 +455 22 20.7333 +417 24 17.8059 +385 26 19.7821 +358 28 16.6158 +334 30 19.0766 +313 32 17.6679 diff --git a/scratchspace_CU_coalesced/Makefile b/scratchspace_CU_coalesced/Makefile new file mode 100644 index 0000000..3bf5d33 --- /dev/null +++ b/scratchspace_CU_coalesced/Makefile @@ -0,0 +1,17 @@ +NVCC = nvcc +CXX ?= g++ +CXXFLAGS += -O3 -Wall +NVCCFLAGS += -O3 -lcublas +LDFLAGS += $(NVCCFLAGS) + +#Target Rules +cgsolver: cg_main.o cg.o matrix.o matrix_coo.o mmio.o + $(NVCC) $^ $(LDFLAGS) -o $@ + +%.o:%.cu + $(NVCC) $(NVCCFLAGS) -c $< -o $@ + +OBJS=cg_main.o cg.o matrix.o matrix_coo.o mmio.o + +clean: + rm -f cgsolver *.o *~ \ No newline at end of file diff --git a/scratchspace_CU_coalesced/README.md b/scratchspace_CU_coalesced/README.md new file mode 100644 index 0000000..06afef5 --- /dev/null +++ b/scratchspace_CU_coalesced/README.md @@ -0,0 +1,31 @@ +PHPC - CONJUGATE GRADIENT PROJECT + +HOWTO COMPILE AND RUN +===================== + +Requirements : + +- a recent compiler (like gcc or intel) +- a cblas library (like openblas or intel MKL) + +compile on SCITAS clusters : + +``` +$ module load gcc openblas +$ make +``` + +You should see this output (timing is indicative) : + +``` +$ srun ./conjugategradient lap2D_5pt_n100.mtx +size of matrix = 10000 x 10000 +Call cgsolver() on matrix size (10000 x 10000) + [STEP 488] residual = 1.103472E-10 +Time for CG = 36.269389 [s] +``` + +The given example is a 5-points stencil for the 2D Laplace problem. The matrix is in sparse format. + +The matrix format is [Matrix Market format (.mtx extension)](https://sparse.tamu.edu/). You can use other matrices there or create your own. + diff --git a/scratchspace_CU_coalesced/cg.cu b/scratchspace_CU_coalesced/cg.cu new file mode 100644 index 0000000..9f85d0f --- /dev/null +++ b/scratchspace_CU_coalesced/cg.cu @@ -0,0 +1,346 @@ +#include "cg.hh" +#include +#include +#include +#include +#include "cublas_v2.h" + +// A few variables that allow to modify the behaviour of the program +const bool DEBUG = false; +const bool USE_SHARED_MEM = true; + +/* + cgsolver solves the linear equation A*x = b where A is + of size m x n + +Code based on MATLAB code (from wikipedia ;-) ): + +function x = conjgrad(A, b, x) + r = b - A * x; + p = r; + rsold = r' * r; + + for i = 1:length(b) + Ap = A * p; + alpha = rsold / (p' * Ap); + x = x + alpha * p; + r = r - alpha * Ap; + rsnew = r' * r; + if sqrt(rsnew) < 1e-10 + break; + end + p = r + (rsnew / rsold) * p; + rsold = rsnew; + end +end + +*/ + +// Set acceleration parameters +void Solver::setAccelerationParams(const dim3 grid_size, const dim3 block_size) { + m_dimGrid = grid_size; + m_dimBlock = block_size; +} + +// Adapted from https://docs.nvidia.com/cuda/cuda-c-programming-guide/#memory-hierarchy + +// Perform vector - vector addition +// out = x + a * y +__global__ void VectAddKernel(const double* x, const double* y, double a, double* out, int N) { + // each thread computes one entry of result + int row = blockIdx.x * blockDim.x + threadIdx.x; + if (row >= N) return; + out[row] = x[row] + a * y [row]; // Coalesced access to x, y +} + +// Perform Matrix-vector product +// out = A * x +__global__ void MatVectProdKernel(const double* A, const double* x, double* out, int N) { + // Each thread computes one element of y = A * x + int row = blockIdx.x * blockDim.x + threadIdx.x; + if (row >= N) return; + double sum = 0.0; + for (int e = 0; e < N; e++) + sum += A[row + e * N] * x[row]; + out[row] = sum; +} + +/* +Perform matrix-vector product, but load chunks of x to shared memory first +Motivation: all threads need to read from x, leading to uncoalesed access from within the block +Memory allocation must be determined at compile time. I allocate the max amount of doubles +Memory size for shared memory allocation needs to be known at compile time. It is not, so we just allocate a big enough space and may not use all of it. +We can store 6144 double-precision numbers in shared memory (49152 bytes available on Tesla V100-PCIE-32GB). +*/ +#define MAX_CHUNK_SIZE 1024 +__global__ void LoadedMatVectProdKernel(const double* A, const double* x, double* out, int N) { + int row = blockIdx.x * blockDim.x + threadIdx.x; + if (row >= N) return; + assert(blockDim.x <= MAX_CHUNK_SIZE); + assert((blockDim.x + 1) * (blockDim.x + 1) <= 6144); // Not sure thats restrictive enough + // iterate over chunks of x when computing the result + double sum = 0.0; + int numChunks = N / blockDim.x; + if (N % blockDim.x > 0) numChunks++; + for (int m = 0; m < numChunks; m++) { + // load chunks of A, x + __shared__ double xs[MAX_CHUNK_SIZE]; + //__shared__ double As[MAX_CHUNK_SIZE][MAX_CHUNK_SIZE]; + //__shared__ double As[MAX_CHUNK_SIZE * MAX_CHUNK_SIZE]; + xs[threadIdx.x] = x[m * blockDim.x + threadIdx.x]; + __syncthreads(); + + int numCols = blockDim.x; + if ((m + 1) * blockDim.x > N) numCols = N % blockDim.x; + for (int e = 0; e < numCols; e++) + sum += A[row + (m * blockDim.x + e) * N] * xs[e]; // Coalesced access to A + __syncthreads(); + } + // Return result + out[row] = sum; +} + +// -------------------------- +// Function that tests things +// -------------------------- +void CGSolver::testThings() { + // Create some interesting data + int n = 4; + double A [n * n]; + for (int i = 0; i < n * n; ++i) + A[i] = i; + + + // Show what A contains + std::cout << " A = " << std::endl; + std::cout << "["; + for (int row = 0; row < n; row++) { + std::cout << "["; + for (int col = 0; col < n; col++) + std::cout << " " << A[row + col * n] << " "; + std::cout << "]" << std::endl; + } + std::cout << "]" << std::endl; + + double x[n]; + for (int i = 0; i < n; i++) + x[i] = 1.0; + + double y[n]; + for (int i = 0; i < n; i++) + y[i] = 0.0; + + // Load data to device + double* d_A, *d_x, *d_y; + cudaMalloc(&d_A, n * n * sizeof(double)); + cudaMalloc(&d_x, n * sizeof(double)); + cudaMalloc(&d_y, n * sizeof(double)); + cudaMemcpy(d_A, A, n * n * sizeof(double), cudaMemcpyHostToDevice); + cudaMemcpy(d_x, x, n * sizeof(double), cudaMemcpyHostToDevice); + cudaMemcpy(d_y, y, n * sizeof(double), cudaMemcpyHostToDevice); + + // Compute A * x, retrieve and display results + if (USE_SHARED_MEM) { + LoadedMatVectProdKernel<<>>(d_A, d_x, d_y, n); + } else { + MatVectProdKernel<<>>(d_A, d_x, d_y, n); + } + cudaMemcpy(y, d_y, n * sizeof(double), cudaMemcpyDeviceToHost); + std::cout << "A * x = " << std::endl; + for (int i = 0; i < n; i++) + std::cout << y[i] << std::endl; + + // Compute x + 3x, retrieve and display results + VectAddKernel<<>>(d_x, d_x, 3, d_y, n); + cudaMemcpy(y, d_y, n * sizeof(double), cudaMemcpyDeviceToHost); + std::cout << "x + 3x = " << std::endl; + for (int i = 0; i < n; i++) + std::cout << y[i] << std::endl; + + // Free memory + cudaFree(d_A); + cudaFree(d_x); + cudaFree(d_y); +} + + +void CGSolver::solve(std::vector & x) { + /* + Performs CG descent algorithm to find approximate solution x to linear system Ax=b. Uses Kernel functions + to compute scalar products, matrix-vector products, and vector-vector additions. + */ + + // -------------------------------------------- + // Before we actually start, let's test things: + // -------------------------------------------- + if (DEBUG) + testThings(); + + // --------------------------------------- + // cuBLAS setup for cublasDdot utilization + // --------------------------------------- + cublasHandle_t handle; + cublasStatus_t stat; + stat = cublasCreate(&handle); + if (stat != CUBLAS_STATUS_SUCCESS) { + printf ("CUBLAS runtime error creating cuBLAS handle\n"); + } + + // ---------------------------------- + // Load data A, b, x to device memory + // ---------------------------------- + // A needs to be stored column-major style, so we copy it to a temporary array first + double A_Fstyle[m_A.m() * m_A.n()]; + for (int r = 0; r < m_A.m(); ++r) { + for (int c = 0; c < m_A.n(); ++c) + A_Fstyle[r + m_A.n() * c] = m_A(r, c); + } + double *d_A; + size_t size_A = m_A.m() * m_A.n() * sizeof(double); + cudaMalloc(&d_A, size_A); + cudaMemcpy(d_A, A_Fstyle, size_A, cudaMemcpyHostToDevice); + + double *d_b; + size_t size_b = m_A.m() * sizeof(double); + cudaMalloc(&d_b, size_b); + cudaMemcpy(d_b, m_b.data(), size_b, cudaMemcpyHostToDevice); + + double *d_x; + cudaMalloc(&d_x, size_b); + cudaMemcpy(d_x, x.data(), size_b, cudaMemcpyHostToDevice); + + // ------------------------------------------------- + // Allocate memory for algorithm variables on device + // ------------------------------------------------- + double *d_r, *d_p, *d_Ap, *d_tmp; + cudaMalloc(&d_r, size_b); + cudaMalloc(&d_p, size_b); + cudaMalloc(&d_Ap, size_b); + cudaMalloc(&d_tmp, size_b); + + // --------------- + // Algorithm setup + // --------------- + // r = b - A * x; + if (USE_SHARED_MEM) + LoadedMatVectProdKernel<<>>(d_A, d_x, d_Ap, m_A.n()); + else + MatVectProdKernel<<>>(d_A, d_x, d_Ap, m_A.n()); + VectAddKernel<<>>(d_b, d_Ap, -1.0, d_r, m_A.m()); + + // p = r + cudaMemcpy(d_p, d_r, size_b, cudaMemcpyDeviceToDevice); + + // rsold = r' * r; + double rsold; + cublasDdot(handle, m_A.m(), d_r, 1, d_r, 1, &rsold); + + // ------------------- + // for i = 1:length(b) + // ------------------- + int k = 0; + for (; k < m_A.m(); ++k) { + // Ap = A * p + if (USE_SHARED_MEM) + LoadedMatVectProdKernel<<>>(d_A, d_p, d_Ap, m_A.n()); + else + MatVectProdKernel<<>>(d_A, d_p, d_Ap, m_A.n()); + + // alpha = rsold / (p' * Ap); + double pAp; + cublasDdot(handle, m_A.m(), d_p, 1, d_Ap, 1, &pAp); + auto alpha = rsold / pAp; + + // x = x + alpha * p; + VectAddKernel<<>>(d_x, d_p, alpha, d_x, m_A.m()); + + // r = r - alpha * Ap; + VectAddKernel<<>>(d_r, d_Ap, -alpha, d_r, m_A.m()); + + // rsnew = r' * r; + double rsnew; + cublasDdot(handle, m_A.m(), d_r, 1, d_r, 1, &rsnew); + + // p = r + (rsnew / rsold) * p; + auto beta = rsnew / rsold; + VectAddKernel<<>>(d_r, d_p, beta, d_p, m_A.m()); + + if (DEBUG && (k % 1000 == 0)) { + std::cout << "Rsold is " << rsold << std::endl; + std::cout << "pAp is " << pAp << std::endl; + std::cout << "alpha is " << alpha << std::endl; + std::cout << "rsnew is " << rsnew << std::endl; + std::cout << "beta is " << beta << std::endl; + } + + // rsold = rsnew; + rsold = rsnew; + + // if sqrt(rsnew) < 1e-10 + // break; + if (std::sqrt(rsnew) < m_tolerance) + break; // Convergence test + } + + if (DEBUG) { + // r = A * x + if (USE_SHARED_MEM) + LoadedMatVectProdKernel<<>>(d_A, d_x, d_r, m_A.n()); + else + MatVectProdKernel<<>>(d_A, d_x, d_r, m_A.n()); + + // r = r - b + VectAddKernel<<>>(d_r, d_b, -1.0, d_r, m_A.m()); + + // res = || r || / || b || + double rsnew; + stat = cublasDdot(handle, m_A.m(), d_r, 1, d_r, 1, &rsnew); + double bTb; + stat = cublasDdot(handle, m_A.m(), d_b, 1, d_b, 1, &bTb); + auto res = std::sqrt(rsnew / bTb); + double nx; + stat = cublasDdot(handle, m_A.m(), d_x, 1, d_x, 1, &nx); + + // Print results + std::cout << "\t[STEP " << k << "] residual = " << std::scientific + << std::sqrt(rsold) << ", ||x|| = " << nx + << ", ||Ax - b||/||b|| = " << res << std::endl; + } + + // --------------------------- + // Read solution x from device + // --------------------------- + cudaMemcpy(x.data(), d_x, size_b, cudaMemcpyDeviceToHost); + + // --------------------------- + // Deallocate memory on device + // --------------------------- + cudaFree(d_A); + cudaFree(d_b); + cudaFree(d_x); + cudaFree(d_r); + cudaFree(d_p); + cudaFree(d_Ap); + cudaFree(d_tmp); + + // Destroy cuBLAS handle + cublasDestroy(handle); +} + +void CGSolver::read_matrix(const std::string & filename) { + m_A.read(filename); + m_m = m_A.m(); + m_n = m_A.n(); +} + +/* +Initialization of the source term b +*/ +void Solver::init_source_term(double h) { + m_b.resize(m_n); + + for (int i = 0; i < m_n; i++) { + m_b[i] = -2. * i * M_PI * M_PI * std::sin(10. * M_PI * i * h) * + std::sin(10. * M_PI * i * h); + } +} diff --git a/scratchspace_MPI/cg.hh b/scratchspace_CU_coalesced/cg.hh similarity index 54% copy from scratchspace_MPI/cg.hh copy to scratchspace_CU_coalesced/cg.hh index f0ebfae..8d88980 100644 --- a/scratchspace_MPI/cg.hh +++ b/scratchspace_CU_coalesced/cg.hh @@ -1,57 +1,47 @@ #include "matrix.hh" #include "matrix_coo.hh" -#include +#include #include #include #ifndef __CG_HH__ #define __CG_HH__ -/*v - * oid CGSolver::solve(std::vector & x) -void CGSolver::read_matrix(const std::string & filename) -void CGSolverSparse::solve(std::vector & x) -void CGSolverSparse::read_matrix(const std::string & filename) -void MatrixCSR::mvm(const std::vector & x, std::vector & y) -const void MatrixCSR::loadMMMatrix(const std::string & filename) void -Solver::init_source_term(int n, double h) -*/ class Solver { public: virtual void read_matrix(const std::string & filename) = 0; void init_source_term(double h); virtual void solve(std::vector & x) = 0; inline int m() const { return m_m; } inline int n() const { return m_n; } void tolerance(double tolerance) { m_tolerance = tolerance; } + // Set acceleration parameters + void setAccelerationParams(const dim3 grid_size, const dim3 block_size); + protected: int m_m{0}; int m_n{0}; std::vector m_b; double m_tolerance{1e-10}; + + // Acceleration parameters + dim3 m_dimGrid; + dim3 m_dimBlock; }; class CGSolver : public Solver { public: CGSolver() = default; virtual void read_matrix(const std::string & filename); virtual void solve(std::vector & x); -private: - Matrix m_A; -}; - -class CGSolverSparse : public Solver { -public: - CGSolverSparse() = default; - virtual void read_matrix(const std::string & filename); - virtual void solve(std::vector & x); + void testThings(); private: - MatrixCOO m_A; + Matrix m_A; }; #endif /* __CG_HH__ */ diff --git a/scratchspace_CU_coalesced/cg.o b/scratchspace_CU_coalesced/cg.o new file mode 100644 index 0000000..56ee313 Binary files /dev/null and b/scratchspace_CU_coalesced/cg.o differ diff --git a/scratchspace_CU_coalesced/cg_main.cu b/scratchspace_CU_coalesced/cg_main.cu new file mode 100644 index 0000000..e19dd25 --- /dev/null +++ b/scratchspace_CU_coalesced/cg_main.cu @@ -0,0 +1,108 @@ +#include "cg.hh" +#include +#include +#include + +using clk = std::chrono::high_resolution_clock; +using second = std::chrono::duration; +using time_point = std::chrono::time_point; + +const bool DEBUG = false; + +static void usage(const std::string & prog_name) { + std::cerr << prog_name << " " << std::endl; + exit(0); +} + +/* +Implementation of a simple CG solver using matrix in the mtx format (Matrix +market) Any matrix in that format can be used to test the code +*/ +int main(int argc, char ** argv) { + // ------------------------- + // Read execution parameters + // ------------------------- + if (argc < 3) usage(argv[0]); + + int threadsPerBlock; + try { + threadsPerBlock = std::stoi(argv[1]); + } catch(std::invalid_argument &) { + usage(argv[0]); + } + + if (threadsPerBlock > 1024 || threadsPerBlock < 1) { + std::cout << "CUDA block size must be greater than 0 and smaller than 1024" << std::endl; + usage(argv[0]); + } + + CGSolver solver; + try { + solver.read_matrix(argv[2]); + } catch(std::invalid_argument &) { + usage(argv[0]); + } + + // --------------------------- + // CUDA error handling & setup + // --------------------------- + + // By default, we use device 0, + int dev_id = 0; + + cudaDeviceProp device_prop; + cudaGetDevice(&dev_id); + cudaGetDeviceProperties(&device_prop, dev_id); + if (device_prop.computeMode == cudaComputeModeProhibited) { + std::cerr << "Error: device is running in , no " + "threads can use ::cudaSetDevice()" + << std::endl; + return -1; + } + + auto error = cudaGetLastError(); + if (error != cudaSuccess) { + std::cout << "cudaGetDeviceProperties returned error code " << error + << ", line(" << __LINE__ << ")" << std::endl; + return error; + } else if (DEBUG) { + std::cout << "GPU Device " << dev_id << ": \"" << device_prop.name + << "\" with compute capability " << device_prop.major << "." + << device_prop.minor << std::endl; + } + + // ----------------------- + // Program execution begin + // ----------------------- + int n = solver.n(); + int m = solver.m(); + double h = 1. / n; + + int numBlocks = m / threadsPerBlock; + if (m % threadsPerBlock != 0) numBlocks++; + + dim3 grid_size(numBlocks); + dim3 block_size(threadsPerBlock); + + solver.setAccelerationParams(grid_size, block_size); + solver.init_source_term(h); + + std::vector x_d(n); + std::fill(x_d.begin(), x_d.end(), 0.); + + if (DEBUG) { + std::cout << "Call CG dense on matrix size " << m << " x " << n << ")" + << std::endl; + } + + auto t1 = clk::now(); + solver.solve(x_d); + second elapsed = clk::now() - t1; + + if (DEBUG) + std::cout << "Time for CG (dense solver) = " << elapsed.count() << " [s]\n"; + + std::cout << numBlocks << " " << threadsPerBlock << " " << elapsed.count() << std::endl; + + return 0; +} diff --git a/scratchspace_CU_coalesced/cg_main.o b/scratchspace_CU_coalesced/cg_main.o new file mode 100644 index 0000000..e2cb21b Binary files /dev/null and b/scratchspace_CU_coalesced/cg_main.o differ diff --git a/scratchspace_CU_coalesced/cgsolver b/scratchspace_CU_coalesced/cgsolver new file mode 100755 index 0000000..4bff4f2 Binary files /dev/null and b/scratchspace_CU_coalesced/cgsolver differ diff --git a/scratchspace_CU_coalesced/compile.sh b/scratchspace_CU_coalesced/compile.sh new file mode 100644 index 0000000..c74e99e --- /dev/null +++ b/scratchspace_CU_coalesced/compile.sh @@ -0,0 +1,17 @@ +#!/bin/bash + +echo Loading modules... +module purge +sleep 1s +module load gcc cuda +module list +sleep 1s # Sometimes modules arent loaded by the time script is calling make +echo -e "Done.\n" + +echo Cleaning up filespace... +make clean +echo -e "Done.\n" + +echo Compiling... +make +echo -e "Done.\n" \ No newline at end of file diff --git a/scratchspace_CU_coalesced/debugrun.sh b/scratchspace_CU_coalesced/debugrun.sh new file mode 100644 index 0000000..1165999 --- /dev/null +++ b/scratchspace_CU_coalesced/debugrun.sh @@ -0,0 +1,20 @@ +#!/bin/bash + +# Load modules +module purge +module load gcc cuda +module list + +# Clean up filespace +rm slurm* +make clean + +# Compile +make + +# Run +sbatch run_once.sh + +# Display results +sleep 3s +cat slurm* \ No newline at end of file diff --git a/scratchspace_CU_coalesced/fast_results.out b/scratchspace_CU_coalesced/fast_results.out new file mode 100644 index 0000000..5ea8dab --- /dev/null +++ b/scratchspace_CU_coalesced/fast_results.out @@ -0,0 +1,11 @@ +10000 1 26.9394 +5000 2 13.57 +2500 4 3.95207 +1250 8 2.80244 +625 16 2.10971 +313 32 2.69583 +157 64 2.49454 +79 128 1.26559 +40 256 1.25877 +20 512 1.28584 +10 1024 1.28137 diff --git a/scratchspace_CU_coalesced/lap2D_5pt_n100.mtx b/scratchspace_CU_coalesced/lap2D_5pt_n100.mtx new file mode 100644 index 0000000..dae3c1e --- /dev/null +++ b/scratchspace_CU_coalesced/lap2D_5pt_n100.mtx @@ -0,0 +1,29803 @@ +%%MatrixMarket matrix coordinate real symmetric +% Generated 20-Nov-2014 +10000 10000 29800 +1 1 4 +2 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+#SBATCH --qos=gpu_free +#SBATCH --account=math-454 +#SBATCH --reservation=Course-math-454-final + +# Clean working directory and call compiling script +rm slurm* +bash compile.sh + +# Prepare collection file +rm results.out +touch results.out + +# Running code with increasing number of threads per block +# Block sizes are divisors of maximum size 1024 +#for BLOCK_SIZE in $(seq 2 2 32) +for BLOCK_SIZE in 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024 +do + srun ./cgsolver $BLOCK_SIZE lap2D_5pt_n100.mtx >> results.out +done \ No newline at end of file diff --git a/scratchspace_MPI/matrix.cc b/scratchspace_CU_coalesced/matrix.cc similarity index 100% copy from scratchspace_MPI/matrix.cc copy to scratchspace_CU_coalesced/matrix.cc diff --git a/scratchspace_MPI/matrix.hh b/scratchspace_CU_coalesced/matrix.hh similarity index 100% copy from scratchspace_MPI/matrix.hh copy to scratchspace_CU_coalesced/matrix.hh diff --git a/scratchspace_CU_coalesced/matrix.o b/scratchspace_CU_coalesced/matrix.o new file mode 100644 index 0000000..bcf13b3 Binary files /dev/null and b/scratchspace_CU_coalesced/matrix.o differ diff --git a/scratchspace_CU_coalesced/matrix_coo.cc b/scratchspace_CU_coalesced/matrix_coo.cc new file mode 100644 index 0000000..e3d354b --- /dev/null +++ b/scratchspace_CU_coalesced/matrix_coo.cc @@ -0,0 +1,59 @@ +#include "matrix_coo.hh" +extern "C" { +#include "mmio.h" +} + +void MatrixCOO::read(const std::string & fn) { + int nz; + + int ret_code; + MM_typecode matcode; + FILE * f; + + if ((f = fopen(fn.c_str(), "r")) == NULL) { + printf("Could not open matrix"); + exit(1); + } + + if (mm_read_banner(f, &matcode) != 0) { + printf("Could not process Matrix Market banner.\n"); + exit(1); + } + + // Matrix is sparse + if (not(mm_is_matrix(matcode) and mm_is_coordinate(matcode))) { + printf("Sorry, this application does not support "); + printf("Market Market type: [%s]\n", mm_typecode_to_str(matcode)); + exit(1); + } + + if ((ret_code = mm_read_mtx_crd_size(f, &m_m, &m_n, &nz)) != 0) { + exit(1); + } + + /* reserve memory for matrices */ + irn.resize(nz); + jcn.resize(nz); + a.resize(nz); + + /* NOTE: when reading in doubles, ANSI C requires the use of the "l" */ + /* specifier as in "%lg", "%lf", "%le", otherwise errors will occur */ + /* (ANSI C X3.159-1989, Sec. 4.9.6.2, p. 136 lines 13-15) */ + m_is_sym = mm_is_symmetric(matcode); + for (int i = 0; i < nz; i++) { + int I, J; + double a_; + + fscanf(f, "%d %d %lg\n", &I, &J, &a_); + I--; /* adjust from 1-based to 0-based */ + J--; + + irn[i] = I; + jcn[i] = J; + a[i] = a_; + } + + if (f != stdin) { + fclose(f); + } +} diff --git a/scratchspace_CU_coalesced/matrix_coo.hh b/scratchspace_CU_coalesced/matrix_coo.hh new file mode 100644 index 0000000..81b440a --- /dev/null +++ b/scratchspace_CU_coalesced/matrix_coo.hh @@ -0,0 +1,45 @@ +#include +#include +#include + +#ifndef __MATRIX_COO_H_ +#define __MATRIX_COO_H_ + +class MatrixCOO { +public: + MatrixCOO() = default; + + inline int m() const { return m_m; } + inline int n() const { return m_n; } + + inline int nz() const { return irn.size(); } + inline int is_sym() const { return m_is_sym; } + + void read(const std::string & filename); + + void mat_vec(const std::vector & x, std::vector & y) { + std::fill_n(y.begin(), y.size(), 0.); + + for (size_t z = 0; z < irn.size(); ++z) { + auto i = irn[z]; + auto j = jcn[z]; + auto a_ = a[z]; + + y[i] += a_ * x[j]; + if (m_is_sym and (i != j)) { + y[j] += a_ * x[i]; + } + } + } + + std::vector irn; + std::vector jcn; + std::vector a; + +private: + int m_m{0}; + int m_n{0}; + bool m_is_sym{false}; +}; + +#endif // __MATRIX_COO_H_ diff --git a/scratchspace_CU_coalesced/matrix_coo.o b/scratchspace_CU_coalesced/matrix_coo.o new file mode 100644 index 0000000..58f9aec Binary files /dev/null and b/scratchspace_CU_coalesced/matrix_coo.o differ diff --git a/scratchspace_CU_coalesced/mmio.c b/scratchspace_CU_coalesced/mmio.c new file mode 100644 index 0000000..c250ff2 --- /dev/null +++ b/scratchspace_CU_coalesced/mmio.c @@ -0,0 +1,511 @@ +/* +* Matrix Market I/O library for ANSI C +* +* See http://math.nist.gov/MatrixMarket for details. +* +* +*/ + + +#include +#include +#include +#include + +#include "mmio.h" + +int mm_read_unsymmetric_sparse(const char *fname, int *M_, int *N_, int *nz_, + double **val_, int **I_, int **J_) +{ + FILE *f; + MM_typecode matcode; + int M, N, nz; + int i; + double *val; + int *I, *J; + + if ((f = fopen(fname, "r")) == NULL) + return -1; + + + if (mm_read_banner(f, &matcode) != 0) + { + printf("mm_read_unsymetric: Could not process Matrix Market banner "); + printf(" in file [%s]\n", fname); + return -1; + } + + + + if ( !(mm_is_real(matcode) && mm_is_matrix(matcode) && + mm_is_sparse(matcode))) + { + fprintf(stderr, "Sorry, this application does not support "); + fprintf(stderr, "Market Market type: [%s]\n", + mm_typecode_to_str(matcode)); + return -1; + } + + /* find out size of sparse matrix: M, N, nz .... */ + + if (mm_read_mtx_crd_size(f, &M, &N, &nz) !=0) + { + fprintf(stderr, "read_unsymmetric_sparse(): could not parse matrix size.\n"); + return -1; + } + + *M_ = M; + *N_ = N; + *nz_ = nz; + + /* reseve memory for matrices */ + + I = (int *) malloc(nz * sizeof(int)); + J = (int *) malloc(nz * sizeof(int)); + val = (double *) malloc(nz * sizeof(double)); + + *val_ = val; + *I_ = I; + *J_ = J; + + /* NOTE: when reading in doubles, ANSI C requires the use of the "l" */ + /* specifier as in "%lg", "%lf", "%le", otherwise errors will occur */ + /* (ANSI C X3.159-1989, Sec. 4.9.6.2, p. 136 lines 13-15) */ + + for (i=0; i #include #include #include +#include const double NEARZERO = 1.0e-14; const bool DEBUG = true; +const int ROOT = 0; /* cgsolver solves the linear equation A*x = b where A is of size m x n Code based on MATLAB code (from wikipedia ;-) ): function x = conjgrad(A, b, x) r = b - A * x; p = r; rsold = r' * r; for i = 1:length(b) Ap = A * p; alpha = rsold / (p' * Ap); x = x + alpha * p; r = r - alpha * Ap; rsnew = r' * r; if sqrt(rsnew) < 1e-10 break; end p = r + (rsnew / rsold) * p; rsold = rsnew; end end */ void CGSolver::solve(std::vector & x) { - std::vector r(m_n); + // Strategy: ROOT thread has all the information. Others have only their respective chunks. + // ---------------------------------------- + // Variable declaration & Memory allocation + // ---------------------------------------- + double rsnew, rsold, pAp, alpha, beta; + double rsnew_loc, rsold_loc, pAp_loc; + std::vector r_loc(m_chunk_size); std::vector p(m_n); - std::vector Ap(m_n); - std::vector tmp(m_n); + std::vector p_loc(m_chunk_size); + std::vector Ap_loc(m_chunk_size); + std::vector tmp_loc(m_chunk_size); - // r = b - A * x; - std::fill_n(Ap.begin(), Ap.size(), 0.); - cblas_dgemv(CblasRowMajor, CblasNoTrans, m_m, m_n, 1., m_A.data(), m_n, - x.data(), 1, 0., Ap.data(), 1); + std::vector x_loc(m_chunk_size); + for (int i = m_pstart; i < m_pend + 1; i++){ + x_loc.push_back(x[i]); + } - r = m_b; - cblas_daxpy(m_n, -1., Ap.data(), 1, r.data(), 1); + // ------------------------ + // Algorithm initialization + // ------------------------ + // r = b - A * x + // r_loc = b_loc - A_loc * x + cblas_dgemv(CblasRowMajor, CblasNoTrans, m_chunk_size, m_n, 1., + m_A_loc.data(), m_chunk_size, x.data(), 1, 0., Ap_loc.data(), 1); + r_loc = m_b_loc; + cblas_daxpy(m_n, -1., Ap_loc.data(), 1, r_loc.data(), 1); // p = r; - p = r; + p_loc = r_loc; + MPI_Allgatherv(p_loc.data(), m_chunk_size, MPI_DOUBLE, p.data(), m_workloads.data(), + m_displs.data(), MPI_DOUBLE, MPI_COMM_WORLD); // rsold = r' * r; - auto rsold = cblas_ddot(m_n, r.data(), 1, p.data(), 1); + rsold_loc = cblas_ddot(m_chunk_size, r_loc.data(), 1, p_loc.data(), 1); + MPI_Allreduce(&rsold_loc, &rsold, 1, MPI_DOUBLE, MPI_SUM, MPI_COMM_WORLD); // for i = 1:length(b) int k = 0; for (; k < m_n; ++k) { // Ap = A * p; - std::fill_n(Ap.begin(), Ap.size(), 0.); - cblas_dgemv(CblasRowMajor, CblasNoTrans, m_m, m_n, 1., m_A.data(), m_n, - p.data(), 1, 0., Ap.data(), 1); + cblas_dgemv(CblasRowMajor, CblasNoTrans, m_chunk_size, m_n, 1., + m_A_loc.data(), m_chunk_size, p.data(), 1, 0., Ap_loc.data(), 1); - // alpha = rsold / (p' * Ap); - auto alpha = rsold / std::max(cblas_ddot(m_n, p.data(), 1, Ap.data(), 1), - rsold * NEARZERO); + // alpha = rsold / (p' * Ap) + pAp_loc = cblas_ddot(m_chunk_size, p_loc.data(), 1, Ap_loc.data(), 1); + MPI_Allreduce(&pAp_loc, &pAp, 1, MPI_DOUBLE, MPI_SUM, MPI_COMM_WORLD); + alpha = rsold / pAp; // x = x + alpha * p; - cblas_daxpy(m_n, alpha, p.data(), 1, x.data(), 1); + cblas_daxpy(m_chunk_size, alpha, p_loc.data(), 1, x_loc.data(), 1); // r = r - alpha * Ap; - cblas_daxpy(m_n, -alpha, Ap.data(), 1, r.data(), 1); + cblas_daxpy(m_chunk_size, -alpha, Ap_loc.data(), 1, r_loc.data(), 1); // rsnew = r' * r; - auto rsnew = cblas_ddot(m_n, r.data(), 1, r.data(), 1); + rsnew_loc = cblas_ddot(m_chunk_size, r_loc.data(), 1, p_loc.data(), 1); + MPI_Allreduce(&rsnew_loc, &rsnew, 1, MPI_DOUBLE, MPI_SUM, MPI_COMM_WORLD); // if sqrt(rsnew) < 1e-10 // break; if (std::sqrt(rsnew) < m_tolerance) break; // Convergence test - auto beta = rsnew / rsold; // p = r + (rsnew / rsold) * p; - tmp = r; - cblas_daxpy(m_n, beta, p.data(), 1, tmp.data(), 1); - p = tmp; + beta = rsnew / rsold; + tmp_loc = r_loc; + cblas_daxpy(m_chunk_size, beta, p_loc.data(), 1, tmp_loc.data(), 1); + p_loc = tmp_loc; + MPI_Allgatherv(p_loc.data(), m_chunk_size, MPI_DOUBLE, p.data(), m_workloads.data(), + m_displs.data(), MPI_DOUBLE, MPI_COMM_WORLD); // rsold = rsnew; rsold = rsnew; - if (DEBUG) { - std::cout << "\t[STEP " << k << "] residual = " << std::scientific - << std::sqrt(rsold) << "\r" << std::flush; - } } - if (DEBUG) { - std::fill_n(r.begin(), r.size(), 0.); + // Merge results from all threads (r goes into p) + MPI_Gatherv(r_loc.data(), r_loc.size(), MPI_DOUBLE, p.data(), + m_workloads.data(), m_displs.data(), MPI_DOUBLE, 0, MPI_COMM_WORLD); + MPI_Gatherv(x_loc.data(), x_loc.size(), MPI_DOUBLE, x.data(), + m_workloads.data(), m_displs.data(), MPI_DOUBLE, 0, MPI_COMM_WORLD); + + if (DEBUG && m_prank == 0) { cblas_dgemv(CblasRowMajor, CblasNoTrans, m_m, m_n, 1., m_A.data(), m_n, - x.data(), 1, 0., r.data(), 1); - cblas_daxpy(m_n, -1., m_b.data(), 1, r.data(), 1); - auto res = std::sqrt(cblas_ddot(m_n, r.data(), 1, r.data(), 1)) / + x.data(), 1, 0., p.data(), 1); + cblas_daxpy(m_n, -1., m_b.data(), 1, p.data(), 1); + auto res = std::sqrt(cblas_ddot(m_n, p.data(), 1, p.data(), 1)) / std::sqrt(cblas_ddot(m_n, m_b.data(), 1, m_b.data(), 1)); auto nx = std::sqrt(cblas_ddot(m_n, x.data(), 1, x.data(), 1)); std::cout << "\t[STEP " << k << "] residual = " << std::scientific << std::sqrt(rsold) << ", ||x|| = " << nx << ", ||Ax - b||/||b|| = " << res << std::endl; } } -void CGSolver::read_matrix(const std::string & filename) { - m_A.read(filename); - m_m = m_A.m(); - m_n = m_A.n(); -} - /* -Sparse version of the cg solver +Reads input data and distributes it among processes */ -void CGSolverSparse::solve(std::vector & x) { - std::vector r(m_n); - std::vector p(m_n); - std::vector Ap(m_n); - std::vector tmp(m_n); - - // r = b - A * x; - m_A.mat_vec(x, Ap); - r = m_b; - cblas_daxpy(m_n, -1., Ap.data(), 1, r.data(), 1); - - // p = r; - p = r; - - // rsold = r' * r; - auto rsold = cblas_ddot(m_n, r.data(), 1, r.data(), 1); - - // for i = 1:length(b) - int k = 0; - for (; k < m_n; ++k) { - // Ap = A * p; - m_A.mat_vec(p, Ap); - - // alpha = rsold / (p' * Ap); - auto alpha = rsold / std::max(cblas_ddot(m_n, p.data(), 1, Ap.data(), 1), - rsold * NEARZERO); - - // x = x + alpha * p; - cblas_daxpy(m_n, alpha, p.data(), 1, x.data(), 1); - - // r = r - alpha * Ap; - cblas_daxpy(m_n, -alpha, Ap.data(), 1, r.data(), 1); - - // rsnew = r' * r; - auto rsnew = cblas_ddot(m_n, r.data(), 1, r.data(), 1); - - // if sqrt(rsnew) < 1e-10 - // break; - if (std::sqrt(rsnew) < m_tolerance) - break; // Convergence test +void CGSolver::read_matrix(const std::string & filename) { - auto beta = rsnew / rsold; - // p = r + (rsnew / rsold) * p; - tmp = r; - cblas_daxpy(m_n, beta, p.data(), 1, tmp.data(), 1); - p = tmp; + MPI_Comm_size(MPI_COMM_WORLD, &m_psize); + MPI_Comm_rank(MPI_COMM_WORLD, &m_prank); - // rsold = rsnew; - rsold = rsnew; - if (DEBUG) { - std::cout << "\t[STEP " << k << "] residual = " << std::scientific - << std::sqrt(rsold) << "\r" << std::flush; - } + // -------------------------------------------- + // Root thread reads data, sends size to others + // -------------------------------------------- + if (m_prank == ROOT){ + m_A.read(filename); + m_m = m_A.m(); + m_n = m_A.n(); } - - if (DEBUG) { - m_A.mat_vec(x, r); - cblas_daxpy(m_n, -1., m_b.data(), 1, r.data(), 1); - auto res = std::sqrt(cblas_ddot(m_n, r.data(), 1, r.data(), 1)) / - std::sqrt(cblas_ddot(m_n, m_b.data(), 1, m_b.data(), 1)); - auto nx = std::sqrt(cblas_ddot(m_n, x.data(), 1, x.data(), 1)); - std::cout << "\t[STEP " << k << "] residual = " << std::scientific - << std::sqrt(rsold) << ", ||x|| = " << nx - << ", ||Ax - b||/||b|| = " << res << std::endl; + MPI_Bcast(&m_m, 1, MPI_INT, ROOT, MPI_COMM_WORLD); + MPI_Bcast(&m_n, 1, MPI_INT, ROOT, MPI_COMM_WORLD); + + // ------------------------------------------------- + // Computes workloads, displs and start, end indices + // ------------------------------------------------- + m_workloads.resize(m_psize); + for(int i = 0; i < m_psize; i++){ + m_workloads[i] = m_m / m_psize; + if ( i < (m_m % m_psize)) m_workloads[i]++; } -} + m_chunk_size = m_workloads[m_prank]; -void CGSolverSparse::read_matrix(const std::string & filename) { - m_A.read(filename); - m_m = m_A.m(); - m_n = m_A.n(); + m_displs.resize(m_psize); + std::fill_n(m_displs.begin(), m_displs.end(), 0); + + m_pstart = 0; + for (int i = 0; i < m_prank; i++){ + m_pstart += m_workloads[i]; + } + m_pend = m_pstart + m_chunk_size - 1; + + // -------------------- + // Scatters A to others + // -------------------- + auto localArraySizes = m_workloads; + for (std::size_t i = 0; i < m_workloads.size(); ++i) + localArraySizes[i] *= m_n; + m_A_loc.resize(m_chunk_size, m_n); + MPI_Scatterv(m_A.data(), localArraySizes.data(), m_displs.data(), MPI_DOUBLE, + m_A_loc.data(), m_chunk_size * m_n, MPI_DOUBLE, ROOT, MPI_COMM_WORLD); } /* Initialization of the source term b */ void Solver::init_source_term(double h) { - m_b.resize(m_n); - - for (int i = 0; i < m_n; i++) { - m_b[i] = -2. * i * M_PI * M_PI * std::sin(10. * M_PI * i * h) * + // ------------------------------ + // Root thread computes root term + // ------------------------------ + if (m_prank == ROOT) { + m_b.resize(m_n); + for (int i = 0; i < m_n; i++) { + m_b[i] = -2. * i * M_PI * M_PI * std::sin(10. * M_PI * i * h) * std::sin(10. * M_PI * i * h); + } } + + // ------------------ + // Scatters to others + // ------------------ + m_b_loc.resize(m_chunk_size); + MPI_Scatterv(m_b.data(), m_workloads.data(), m_displs.data(), MPI_DOUBLE, + m_b_loc.data(), m_chunk_size, MPI_DOUBLE, ROOT, MPI_COMM_WORLD); + } diff --git a/scratchspace_MPI/cg.hh b/scratchspace_MPI/cg.hh index f0ebfae..7655288 100644 --- a/scratchspace_MPI/cg.hh +++ b/scratchspace_MPI/cg.hh @@ -1,57 +1,45 @@ #include "matrix.hh" #include "matrix_coo.hh" #include #include #include #ifndef __CG_HH__ #define __CG_HH__ -/*v - * oid CGSolver::solve(std::vector & x) -void CGSolver::read_matrix(const std::string & filename) -void CGSolverSparse::solve(std::vector & x) -void CGSolverSparse::read_matrix(const std::string & filename) -void MatrixCSR::mvm(const std::vector & x, std::vector & y) -const void MatrixCSR::loadMMMatrix(const std::string & filename) void -Solver::init_source_term(int n, double h) -*/ class Solver { public: virtual void read_matrix(const std::string & filename) = 0; void init_source_term(double h); virtual void solve(std::vector & x) = 0; inline int m() const { return m_m; } inline int n() const { return m_n; } void tolerance(double tolerance) { m_tolerance = tolerance; } protected: int m_m{0}; int m_n{0}; - std::vector m_b; + std::vector m_b; // Resides on ROOT process + std::vector m_b_loc; double m_tolerance{1e-10}; + + /* MPI parameters */ + std::vector m_workloads; + int m_prank, m_psize, m_pstart, m_pend, m_chunk_size; + std::vector m_displs; }; class CGSolver : public Solver { public: CGSolver() = default; virtual void read_matrix(const std::string & filename); virtual void solve(std::vector & x); private: Matrix m_A; -}; - -class CGSolverSparse : public Solver { -public: - CGSolverSparse() = default; - virtual void read_matrix(const std::string & filename); - virtual void solve(std::vector & x); - -private: - MatrixCOO m_A; + Matrix m_A_loc; }; #endif /* __CG_HH__ */ diff --git a/scratchspace_MPI/cg_main.cc b/scratchspace_MPI/cg_main.cc index 7d83451..aebf271 100644 --- a/scratchspace_MPI/cg_main.cc +++ b/scratchspace_MPI/cg_main.cc @@ -1,55 +1,66 @@ #include "cg.hh" #include #include +#include using clk = std::chrono::high_resolution_clock; using second = std::chrono::duration; using time_point = std::chrono::time_point; +const int ROOT = 0; /* Implementation of a simple CG solver using matrix in the mtx format (Matrix market) Any matrix in that format can be used to test the code */ int main(int argc, char ** argv) { + // --------- + // MPI Setup + // --------- + MPI_Init(&argc, &argv); + + int prank, psize; + MPI_Comm_size(MPI_COMM_WORLD, &psize); + MPI_Comm_rank(MPI_COMM_WORLD, &prank); + if (argc < 2) { std::cerr << "Usage: " << argv[0] << " [martix-market-filename]" << std::endl; return 1; } + // ------------ + // Solver setup + // ------------ CGSolver solver; - solver.read_matrix(argv[1]); + + // First thread reads data, broadcasts it to others + if (prank == ROOT) + solver.read_matrix(argv[1]); int n = solver.n(); int m = solver.m(); double h = 1. / n; - solver.init_source_term(h); + // ------------ + // Solve system + // ------------ std::vector x_d(n); std::fill(x_d.begin(), x_d.end(), 0.); - std::cout << "Call CG dense on matrix size " << m << " x " << n << ")" + if (prank == ROOT) { + std::cout << "Call CG dense on matrix size " << m << " x " << n << ")" << std::endl; + } auto t1 = clk::now(); - solver.solve(x_d); - second elapsed = clk::now() - t1; - std::cout << "Time for CG (dense solver) = " << elapsed.count() << " [s]\n"; + solver.solve(x_d); - CGSolverSparse sparse_solver; - sparse_solver.read_matrix(argv[1]); - sparse_solver.init_source_term(h); - - std::vector x_s(n); - std::fill(x_s.begin(), x_s.end(), 0.); - - std::cout << "Call CG sparse on matrix size " << m << " x " << n << ")" - << std::endl; - t1 = clk::now(); - sparse_solver.solve(x_s); - elapsed = clk::now() - t1; - std::cout << "Time for CG (sparse solver) = " << elapsed.count() << " [s]\n"; + second elapsed = clk::now() - t1; + if (prank == ROOT) { + std::cout << "Time for CG (dense solver) = " << elapsed.count() << " [s]\n"; + } + MPI_Finalize(); return 0; } diff --git a/scratchspace_MPI/cg_main.o b/scratchspace_MPI/cg_main.o new file mode 100644 index 0000000..b23f1ce Binary files /dev/null and b/scratchspace_MPI/cg_main.o differ diff --git a/scratchspace_MPI/compile.sh b/scratchspace_MPI/compile.sh new file mode 100644 index 0000000..feb985b --- /dev/null +++ b/scratchspace_MPI/compile.sh @@ -0,0 +1,15 @@ +#!/bin/bash + +echo -e "\nCleaning up..." +make clean +echo Done. + +echo -e "\nLoading modules..." +module purge +module load gcc mvapich2 openblas +module list +echo Done. + +echo -e "\nCompiling..." +make +echo Done. \ No newline at end of file diff --git a/scratchspace_MPI/matrix.cc b/scratchspace_MPI/matrix.cc index 73f8d1a..6fa4100 100644 --- a/scratchspace_MPI/matrix.cc +++ b/scratchspace_MPI/matrix.cc @@ -1,22 +1,35 @@ #include "matrix.hh" #include "matrix_coo.hh" #include #include +#include void Matrix::read(const std::string & fn) { MatrixCOO mat; mat.read(fn); resize(mat.m(), mat.n()); for (int z = 0; z < mat.nz(); ++z) { auto i = mat.irn[z]; auto j = mat.jcn[z]; auto a = mat.a[z]; m_a[i * m_n + j] = a; if (mat.is_sym()) { m_a[j * m_n + i] = a; } } } + +/* std::vector getChunk(int sRow, int fRow) const { + assertm(sRow <= fRow, "Illegal row indices when attempting to get main matrix chunk."); + + std::vector out((fRow-sRow + 1)*m_n); + + for (int elm = sRow*m_n; elm < (fRow+1)*m_n; elm++){ + out.push_back(m_a[elm]); + } + + return out; +} */ diff --git a/scratchspace_MPI/matrix.hh b/scratchspace_MPI/matrix.hh index 8e1d250..8ef11d7 100644 --- a/scratchspace_MPI/matrix.hh +++ b/scratchspace_MPI/matrix.hh @@ -1,30 +1,34 @@ #include #include #ifndef __MATRIX_H_ #define __MATRIX_H_ class Matrix { public: Matrix(int m = 0, int n = 0) : m_m(m), m_n(n), m_a(m * n) {} void resize(int m, int n) { m_m = m; m_n = n; m_a.resize(m * n); } inline double & operator()(int i, int j) { return m_a[i * m_n + j]; } inline int m() const { return m_m; } inline int n() const { return m_n; } inline double * data() { return m_a.data(); } void read(const std::string & filename); + /* Custom function to get chunks of contiguous rows of data */ + std::vector getChunk(int sRow, int fRow) const; + inline void setData(const std::vector data) { m_a = data; } + private: int m_m{0}; int m_n{0}; std::vector m_a; }; #endif // __MATRIX_H_ diff --git a/scratchspace_MPI_ScattervGatherv/.DS_Store b/scratchspace_MPI_ScattervGatherv/.DS_Store new file mode 100644 index 0000000..7d88507 Binary files /dev/null and b/scratchspace_MPI_ScattervGatherv/.DS_Store differ diff --git a/scratchspace_MPI_ScattervGatherv/Makefile b/scratchspace_MPI_ScattervGatherv/Makefile new file mode 100644 index 0000000..318dce0 --- /dev/null +++ b/scratchspace_MPI_ScattervGatherv/Makefile @@ -0,0 +1,19 @@ +CXX=mpicxx +CC=mpicxx +OPTIM=-O0 +DEBUG=-g +LD=${CXX} +CXXFLAGS+= $(DEBUG) -Wall -Wextra -Werror -pedantic -std=c++11 -I${OPENBLAS_ROOT}/include $(OPTIM) +LDFLAGS+= -lm -L${OPENBLAS_ROOT}/lib -lopenblas + +OBJS=mmio.o cg_main.o cg.o matrix.o matrix_coo.o + +all: cgsolver + +cgsolver: $(OBJS) + $(LD) -o $@ $(OBJS) $(LDFLAGS) + +mmio_test: mmio.o + +clean: + rm -f cgsolver *.o *~ diff --git a/scratchspace_MPI_ScattervGatherv/README.md b/scratchspace_MPI_ScattervGatherv/README.md new file mode 100644 index 0000000..06afef5 --- /dev/null +++ b/scratchspace_MPI_ScattervGatherv/README.md @@ -0,0 +1,31 @@ +PHPC - CONJUGATE GRADIENT PROJECT + +HOWTO COMPILE AND RUN +===================== + +Requirements : + +- a recent compiler (like gcc or intel) +- a cblas library (like openblas or intel MKL) + +compile on SCITAS clusters : + +``` +$ module load gcc openblas +$ make +``` + +You should see this output (timing is indicative) : + +``` +$ srun ./conjugategradient lap2D_5pt_n100.mtx +size of matrix = 10000 x 10000 +Call cgsolver() on matrix size (10000 x 10000) + [STEP 488] residual = 1.103472E-10 +Time for CG = 36.269389 [s] +``` + +The given example is a 5-points stencil for the 2D Laplace problem. The matrix is in sparse format. + +The matrix format is [Matrix Market format (.mtx extension)](https://sparse.tamu.edu/). You can use other matrices there or create your own. + diff --git a/scratchspace_MPI_ScattervGatherv/bandMatrix_nproc1.mtx b/scratchspace_MPI_ScattervGatherv/bandMatrix_nproc1.mtx new file mode 100644 index 0000000..fba6dbd --- /dev/null +++ b/scratchspace_MPI_ScattervGatherv/bandMatrix_nproc1.mtx @@ -0,0 +1,2002 @@ +%%MatrixMarket matrix coordinate integer symmetric +%Created with the Wolfram Language for Students - Personal Use Only : www.wolfram.com +1000 1000 1999 +1 1 4 +2 2 4 +2 1 -1 +3 3 4 +3 2 -1 +4 4 4 +4 3 -1 +5 4 -1 +5 5 4 +6 5 -1 +6 6 4 +7 6 -1 +7 7 4 +8 7 -1 +8 8 4 +9 9 4 +9 8 -1 +10 9 -1 +10 10 4 +11 10 -1 +11 11 4 +12 12 4 +12 11 -1 +13 12 -1 +13 13 4 +14 13 -1 +14 14 4 +15 14 -1 +15 15 4 +16 16 4 +16 15 -1 +17 17 4 +17 16 -1 +18 18 4 +18 17 -1 +19 19 4 +19 18 -1 +20 19 -1 +20 20 4 +21 20 -1 +21 21 4 +22 22 4 +22 21 -1 +23 23 4 +23 22 -1 +24 23 -1 +24 24 4 +25 25 4 +25 24 -1 +26 25 -1 +26 26 4 +27 27 4 +27 26 -1 +28 27 -1 +28 28 4 +29 28 -1 +29 29 4 +30 29 -1 +30 30 4 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the program to crash + +/* + cgsolver solves the linear equation A*x = b where A is + of size m x n + +Code based on MATLAB code (from wikipedia ;-) ): + +function x = conjgrad(A, b, x) + r = b - A * x; + p = r; + rsold = r' * r; + + for i = 1:length(b) + Ap = A * p; + alpha = rsold / (p' * Ap); + x = x + alpha * p; + r = r - alpha * Ap; + rsnew = r' * r; + if sqrt(rsnew) < 1e-10 + break; + end + p = r + (rsnew / rsold) * p; + rsold = rsnew; + end +end + +*/ + +using clk = std::chrono::high_resolution_clock; +using second = std::chrono::duration; +using time_point = std::chrono::time_point; + +// Function that tests things +void CGSolver::testThings() { + int n = 5; + // Generate workloads and other interesting things (wont work if nproc > n) + int* workloads = (int*)malloc(m_psize * sizeof(int)); + int* transfer_sizes = (int*)malloc(m_psize * sizeof(int)); + for(int i = 0; i < m_psize; i++){ + workloads[i] = n / m_psize; + if ( i < (n % m_psize)) workloads[i]++; + transfer_sizes[i] = workloads[i] * n; + } + //std::vector displs(m_psize); + int* displs = (int*)malloc(m_psize * sizeof(int)); + displs[0] = 0; + for (int i = 1; i < m_psize; i++) + displs[i] = displs[i-1] + transfer_sizes[i-1]; + + if (m_prank == ROOT) { + std::cout << "Workloads, displs, transfersizes are as follows: " << std::endl; + for (int i = 0; i < m_psize; i++) + std::cout << "\tThread " << i << ": " << workloads[i] << " " << displs[i] << " " << transfer_sizes[i] << std::endl; + } + + // Generate test data and distribute it + //std::vector A; + double* A; + if (m_prank==ROOT){ + //A.resize(n * n); + A = (double*)malloc(n * n * sizeof(double)); + for (int i = 0; i < n * n; i++) + A[i] = i; + } + // std::vector A_loc(workloads[m_prank] * n); + double* A_loc = (double*)malloc(workloads[m_prank] * n * sizeof(double)); + MPI_Scatterv(A, transfer_sizes, displs, MPI_DOUBLE, + A_loc, transfer_sizes[m_prank], MPI_DOUBLE, ROOT, MPI_COMM_WORLD); + + // See what we've created + std::cout << "Thread " << m_prank << " has submatrix:" << std::endl; + for (int i = 0; i < workloads[m_prank]; i++) { + for (int j = 0; j < n; j++) + std::cout << " " << A_loc[i*n + j]; + std::cout << std::endl; + } + + // Each thread modifies the values in the array + for (int i = 0; i < workloads[m_prank] * n; i++) { + A_loc[i]++; + } + + // Gather back at root (causes program abort for some reason) + MPI_Allgatherv(A_loc, workloads[m_prank] * n, MPI_DOUBLE, + A, transfer_sizes, displs, + MPI_DOUBLE, MPI_COMM_WORLD); + + // Show what we've got + if (m_prank == ROOT) { + std::cout << "A contains " << std::endl; + for (int i = 0; i < n; i++) { + for (int j = 0; j < n; j++) + std::cout << " " << A[i*n + j] << " " << std::endl; + } + } +} + + +void CGSolver::solve(std::vector & x) { + // First test things + if (USE_TEST_FUNCTION) + testThings(); + + auto t1 = clk::now(); + + // Strategy: ROOT thread has all the information. Others have only their respective chunks. + // ---------------------------------------- + // Variable declaration & Memory allocation + // ---------------------------------------- + double rsnew, rsold, pAp, alpha, beta; + double rsnew_loc, rsold_loc, pAp_loc; + std::vector r_loc(m_chunk_size); + std::vector p(m_n); + std::vector p_loc(m_chunk_size); + std::vector Ap_loc(m_chunk_size); + std::vector tmp_loc(m_chunk_size); + + std::vector x_loc(m_chunk_size); + for (int i = m_pstart; i < m_pend; i++){ + x_loc.push_back(x[i]); + } + + // ------------------------ + // Algorithm initialization + // ------------------------ + // r = b - A * x + // r_loc = b_loc - A_loc * x + cblas_dgemv(CblasRowMajor, CblasNoTrans, m_chunk_size, m_n, 1., + m_A_loc.data(), m_n, x.data(), 1, 0., Ap_loc.data(), 1); + + r_loc = m_b_loc; + cblas_daxpy(m_n, -1., Ap_loc.data(), 1, r_loc.data(), 1); + + // p = r; + p_loc = r_loc; + MPI_Allgatherv(p_loc.data(), m_chunk_size, MPI_DOUBLE, p.data(), m_workloads.data(), + m_displs_vector.data(), MPI_DOUBLE, MPI_COMM_WORLD); + + // rsold = r' * r; + rsold_loc = cblas_ddot(m_chunk_size, r_loc.data(), 1, p_loc.data(), 1); + MPI_Allreduce(&rsold_loc, &rsold, 1, MPI_DOUBLE, MPI_SUM, MPI_COMM_WORLD); + + // for i = 1:length(b) + int k = 0; + //for (; k < m_n; ++k) { + for (; k < 800; ++k) { + + if (DEBUG && m_prank == ROOT && (k%1000 == 0)) + std::cout << "Iteration " << k << std::endl; + + // Ap = A * p; + cblas_dgemv(CblasRowMajor, CblasNoTrans, m_chunk_size, m_n, 1., + m_A_loc.data(), m_n, p.data(), 1, 0., Ap_loc.data(), 1); + + // alpha = rsold / (p' * Ap) + pAp_loc = cblas_ddot(m_chunk_size, p_loc.data(), 1, Ap_loc.data(), 1); + MPI_Allreduce(&pAp_loc, &pAp, 1, MPI_DOUBLE, MPI_SUM, MPI_COMM_WORLD); + alpha = rsold / pAp; + + // x = x + alpha * p; + cblas_daxpy(m_chunk_size, alpha, p_loc.data(), 1, x_loc.data(), 1); + + // r = r - alpha * Ap; + cblas_daxpy(m_chunk_size, -alpha, Ap_loc.data(), 1, r_loc.data(), 1); + + // rsnew = r' * r; + rsnew_loc = cblas_ddot(m_chunk_size, r_loc.data(), 1, p_loc.data(), 1); + MPI_Allreduce(&rsnew_loc, &rsnew, 1, MPI_DOUBLE, MPI_SUM, MPI_COMM_WORLD); + + // if sqrt(rsnew) < 1e-10 + // break; + if (std::sqrt(rsnew) < m_tolerance) + break; // Convergence test + + // p = r + (rsnew / rsold) * p; + beta = rsnew / rsold; + tmp_loc = r_loc; + cblas_daxpy(m_chunk_size, beta, p_loc.data(), 1, tmp_loc.data(), 1); + p_loc = tmp_loc; + MPI_Allgatherv(p_loc.data(), m_chunk_size, MPI_DOUBLE, p.data(), m_workloads.data(), + m_displs_vector.data(), MPI_DOUBLE, MPI_COMM_WORLD); + + // rsold = rsnew; + rsold = rsnew; + } + + // Merge results from all threads (r goes into p) + MPI_Allgatherv(r_loc.data(), m_chunk_size, MPI_DOUBLE, p.data(), m_workloads.data(), + m_displs_vector.data(), MPI_DOUBLE, MPI_COMM_WORLD); + MPI_Allgatherv(x_loc.data(), m_chunk_size, MPI_DOUBLE, x.data(), m_workloads.data(), + m_displs_vector.data(), MPI_DOUBLE, MPI_COMM_WORLD); + + if (DEBUG && m_prank == 0) { + cblas_dgemv(CblasRowMajor, CblasNoTrans, m_m, m_n, 1., m_A.data(), m_n, + x.data(), 1, 0., p.data(), 1); + cblas_daxpy(m_n, -1., m_b.data(), 1, p.data(), 1); + auto res = std::sqrt(cblas_ddot(m_n, p.data(), 1, p.data(), 1)) / + std::sqrt(cblas_ddot(m_n, m_b.data(), 1, m_b.data(), 1)); + auto nx = std::sqrt(cblas_ddot(m_n, x.data(), 1, x.data(), 1)); + std::cout << "\t[STEP " << k << "] residual = " << std::scientific + << std::sqrt(rsold) << ", ||x|| = " << nx + << ", ||Ax - b||/||b|| = " << res << std::endl; + } + second elapsed = clk::now() - t1; + if (m_prank == ROOT) { + std::cout << m_psize << " " << elapsed.count() << std::endl; + } +} + +/* +Reads input data and distributes it among processes +*/ +void CGSolver::read_matrix(const std::string & filename) { + + MPI_Comm_size(MPI_COMM_WORLD, &m_psize); + MPI_Comm_rank(MPI_COMM_WORLD, &m_prank); + + // -------------------------------------------- + // Root thread reads data, sends size to others + // -------------------------------------------- + if (m_prank == ROOT){ + m_A.read(filename); + m_m = m_A.m(); + m_n = m_A.n(); + } + MPI_Bcast(&m_m, 1, MPI_INT, ROOT, MPI_COMM_WORLD); + MPI_Bcast(&m_n, 1, MPI_INT, ROOT, MPI_COMM_WORLD); + + // ------------------------------------------------- + // Computes workloads, displs and start, end indices + // ------------------------------------------------- + m_workloads.resize(m_psize); + m_transfer_sizes.resize(m_psize); + for(int i = 0; i < m_psize; i++){ + m_workloads[i] = m_m / m_psize; + if ( i < (m_m % m_psize)) m_workloads[i]++; + m_transfer_sizes[i] = m_workloads[i] * m_n; + } + m_chunk_size = m_workloads[m_prank]; + + m_displs_array.resize(m_psize); + m_displs_vector.resize(m_psize); + m_displs_array[0] = 0; + m_displs_vector[0] = 0; + for (int i = 1; i < m_psize; i++) { + m_displs_array[i] = m_displs_array[i-1] + m_transfer_sizes[i-1]; + m_displs_vector[i] = m_displs_vector[i-1] + m_workloads[i-1]; + } + + m_pstart = 0; + for (int i = 0; i < m_prank; i++) { + m_pstart += m_workloads[i]; + } + m_pend = m_pstart + m_chunk_size; + + if (DEBUG) { + if (m_prank == ROOT) { + std::cout << "Problem size: " << m_m << " by " << m_n << std::endl; + std::cout << "Workloads, displs, trnsfr per thread: " << std::endl; + for (int i = 0; i < m_psize; i++) { + std::cout << "\tThread " << i << ": " << m_workloads[i] << " " << m_displs_array[i] << " " << m_transfer_sizes[i] << std::endl; + } + } + std::cout << "\nThread " << m_prank << ": " << std::endl; + std::cout << "\tm_chunk_size: " << m_chunk_size << std::endl; + std::cout << "\tm_pstart: " << m_pstart << std::endl; + std::cout << "\tm_pend: " << m_pend << std::endl; + } + + // -------------------------------- + // Scatters A to non-root processes + // -------------------------------- + m_A_loc.resize(m_chunk_size * m_n); + MPI_Scatterv(m_A.data(), m_transfer_sizes.data(), m_displs_array.data(), MPI_DOUBLE, + m_A_loc.data(), m_transfer_sizes[m_prank], MPI_DOUBLE, ROOT, MPI_COMM_WORLD); + + if (DEBUG) { + if (m_prank == ROOT) + std::cout << "Successfully scattered A: recieved " << m_A_loc.size() << " numbers." << std::endl; + else + std::cout << "Thread " << m_prank << " successfully recieved A: recieved " << m_A_loc.size() << " numbers." << std::endl; + } +} + +/* +Initialization of the source term b +*/ +void Solver::init_source_term(double h) { + // ------------------------------ + // Root thread computes root term + // ------------------------------ + if (m_prank == ROOT) { + m_b.resize(m_n); + for (int i = 0; i < m_n; i++) { + m_b[i] = -2. * i * M_PI * M_PI * std::sin(10. * M_PI * i * h) * + std::sin(10. * M_PI * i * h); + } + } + + // ------------------ + // Scatters to others + // ------------------ + m_b_loc.resize(m_chunk_size); + MPI_Scatterv(m_b.data(), m_workloads.data(), m_displs_vector.data(), MPI_DOUBLE, + m_b_loc.data(), m_chunk_size, MPI_DOUBLE, ROOT, MPI_COMM_WORLD); + + if (DEBUG) { + if (m_prank == ROOT) + std::cout << "Successfully scattered b" << std::endl; + else + std::cout << "Thread " << m_prank << " successfully recieved b" << std::endl; + } +} diff --git a/scratchspace_MPI/cg.hh b/scratchspace_MPI_ScattervGatherv/cg.hh similarity index 52% copy from scratchspace_MPI/cg.hh copy to scratchspace_MPI_ScattervGatherv/cg.hh index f0ebfae..1aadc3a 100644 --- a/scratchspace_MPI/cg.hh +++ b/scratchspace_MPI_ScattervGatherv/cg.hh @@ -1,57 +1,49 @@ #include "matrix.hh" #include "matrix_coo.hh" #include #include #include #ifndef __CG_HH__ #define __CG_HH__ -/*v - * oid CGSolver::solve(std::vector & x) -void CGSolver::read_matrix(const std::string & filename) -void CGSolverSparse::solve(std::vector & x) -void CGSolverSparse::read_matrix(const std::string & filename) -void MatrixCSR::mvm(const std::vector & x, std::vector & y) -const void MatrixCSR::loadMMMatrix(const std::string & filename) void -Solver::init_source_term(int n, double h) -*/ class Solver { public: virtual void read_matrix(const std::string & filename) = 0; void init_source_term(double h); virtual void solve(std::vector & x) = 0; inline int m() const { return m_m; } inline int n() const { return m_n; } void tolerance(double tolerance) { m_tolerance = tolerance; } protected: int m_m{0}; int m_n{0}; - std::vector m_b; + std::vector m_b; // Resides on ROOT process + std::vector m_b_loc; double m_tolerance{1e-10}; + + /* MPI parameters */ + std::vector m_workloads; + int m_prank, m_psize, m_pstart, m_pend, m_chunk_size; + std::vector m_displs_array; + std::vector m_displs_vector; + std::vector m_transfer_sizes; }; class CGSolver : public Solver { public: CGSolver() = default; virtual void read_matrix(const std::string & filename); virtual void solve(std::vector & x); -private: - Matrix m_A; -}; - -class CGSolverSparse : public Solver { -public: - CGSolverSparse() = default; - virtual void read_matrix(const std::string & filename); - virtual void solve(std::vector & x); + void testThings(); private: - MatrixCOO m_A; + Matrix m_A; // Resides on ROOT process + std::vector m_A_loc; }; #endif /* __CG_HH__ */ diff --git a/scratchspace_MPI_ScattervGatherv/cg.o b/scratchspace_MPI_ScattervGatherv/cg.o new file mode 100644 index 0000000..80db4c5 Binary files /dev/null and b/scratchspace_MPI_ScattervGatherv/cg.o differ diff --git a/scratchspace_MPI_ScattervGatherv/cg_main.cc b/scratchspace_MPI_ScattervGatherv/cg_main.cc new file mode 100644 index 0000000..3e7498c --- /dev/null +++ b/scratchspace_MPI_ScattervGatherv/cg_main.cc @@ -0,0 +1,55 @@ +#include "cg.hh" +#include +#include + +const int ROOT = 0; +const bool DEBUG = false; + + +int main(int argc, char ** argv) { + // --------- + // MPI Setup + // --------- + //MPI_Init(&argc, &argv); + MPI_Init(NULL, NULL); + + int prank, psize; + MPI_Comm_size(MPI_COMM_WORLD, &psize); + MPI_Comm_rank(MPI_COMM_WORLD, &prank); + + if (argc < 2) { + std::cerr << "Usage: " << argv[0] << " [martix-market-filename]" + << std::endl; + return 1; + } + + // ------------ + // Solver setup + // ------------ + CGSolver solver; + solver.read_matrix(argv[1]); + + if (prank == ROOT && DEBUG) + std::cout << "Hey dude" << std::endl; + + int n = solver.n(); + int m = solver.m(); + double h = 1. / n; + solver.init_source_term(h); + + // ------------ + // Solve system + // ------------ + std::vector x_d(n); + std::fill(x_d.begin(), x_d.end(), 0.); + + if (prank == ROOT && DEBUG) { + std::cout << "Call CG dense on matrix size (" << m << " x " << n << ")" + << std::endl; + } + + solver.solve(x_d); + + MPI_Finalize(); + return 0; +} diff --git a/scratchspace_MPI_ScattervGatherv/cg_main.o b/scratchspace_MPI_ScattervGatherv/cg_main.o new file mode 100644 index 0000000..3258dda Binary files /dev/null and b/scratchspace_MPI_ScattervGatherv/cg_main.o differ diff --git a/scratchspace_MPI_ScattervGatherv/cgsolver b/scratchspace_MPI_ScattervGatherv/cgsolver new file mode 100755 index 0000000..65ae1f2 Binary files /dev/null and b/scratchspace_MPI_ScattervGatherv/cgsolver differ diff --git a/scratchspace_MPI_ScattervGatherv/cmd.sh b/scratchspace_MPI_ScattervGatherv/cmd.sh new file mode 100644 index 0000000..2ea2122 --- /dev/null +++ b/scratchspace_MPI_ScattervGatherv/cmd.sh @@ -0,0 +1,3 @@ +#!/bin/bash -l +#SBATCH -n 14 +srun cgsolver bandMatrix_nproc14.mtx diff --git a/scratchspace_MPI_ScattervGatherv/compile.sh b/scratchspace_MPI_ScattervGatherv/compile.sh new file mode 100644 index 0000000..feb985b --- /dev/null +++ b/scratchspace_MPI_ScattervGatherv/compile.sh @@ -0,0 +1,15 @@ +#!/bin/bash + +echo -e "\nCleaning up..." +make clean +echo Done. + +echo -e "\nLoading modules..." +module purge +module load gcc mvapich2 openblas +module list +echo Done. + +echo -e "\nCompiling..." +make +echo Done. \ No newline at end of file diff --git a/scratchspace_MPI_ScattervGatherv/debugrun.sh b/scratchspace_MPI_ScattervGatherv/debugrun.sh new file mode 100644 index 0000000..e4374ae --- /dev/null +++ b/scratchspace_MPI_ScattervGatherv/debugrun.sh @@ -0,0 +1,25 @@ +#!/bin/bash + +echo -e "\nCleaning up..." +rm slurm-* +make clean +echo Done. + +echo -e "\nLoading modules..." +module purge +module load gcc mvapich2 openblas valgrind +module list +echo Done. + +echo -e "\nCompiling..." +make +echo Done. + +scancel -u paulsen +sbatch run_once.sh + +for t in {0..10} +do + sleep 2s + head -100 slurm-* +done \ No newline at end of file diff --git a/scratchspace_MPI_ScattervGatherv/gather.io b/scratchspace_MPI_ScattervGatherv/gather.io new file mode 100644 index 0000000..7ee5677 --- /dev/null +++ b/scratchspace_MPI_ScattervGatherv/gather.io @@ -0,0 +1,7 @@ +2 29.411 +4 15.7738 +6 11.803 +8 10.9434 +10 10.6675 +12 10.5666 +14 10.5772 diff --git a/scratchspace_MPI_ScattervGatherv/gather2.io b/scratchspace_MPI_ScattervGatherv/gather2.io new file mode 100644 index 0000000..52353be --- /dev/null +++ b/scratchspace_MPI_ScattervGatherv/gather2.io @@ -0,0 +1,14 @@ +1 56.2124 +2 29.4025 +3 20.3369 +4 15.8566 +5 13.2371 +6 11.8283 +7 11.2517 +8 10.9343 +9 10.7424 +10 11.3994 +11 10.5817 +12 10.5328 +13 10.5277 +14 10.5841 diff --git a/scratchspace_MPI_ScattervGatherv/gather3.io b/scratchspace_MPI_ScattervGatherv/gather3.io new file mode 100644 index 0000000..ebfde11 --- /dev/null +++ b/scratchspace_MPI_ScattervGatherv/gather3.io @@ -0,0 +1,14 @@ +1 56.2555 +2 29.4249 +3 20.3226 +4 15.8492 +5 13.2196 +6 11.7618 +7 11.2287 +8 10.9431 +9 10.76 +10 11.4099 +11 10.5843 +12 10.5505 +13 10.5554 +14 10.526 diff --git a/scratchspace_MPI_ScattervGatherv/gather_weak.io b/scratchspace_MPI_ScattervGatherv/gather_weak.io new file mode 100644 index 0000000..447d69f --- /dev/null +++ b/scratchspace_MPI_ScattervGatherv/gather_weak.io @@ -0,0 +1,14 @@ +1 0.220012 +2 0.206173 +3 0.206844 +4 0.254484 +5 0.369422 +6 0.523777 +7 0.679721 +8 0.804927 +9 0.923408 +10 1.13706 +11 1.15922 +12 1.26621 +13 1.38229 +14 1.49818 diff --git a/scratchspace_MPI_ScattervGatherv/lap2D_5pt_n100.mtx b/scratchspace_MPI_ScattervGatherv/lap2D_5pt_n100.mtx new file mode 100644 index 0000000..dae3c1e --- /dev/null +++ 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0000000..92ca299 --- /dev/null +++ b/scratchspace_MPI_ScattervGatherv/looping.sh @@ -0,0 +1,11 @@ +#!/bin/bash +touch cmd.sh +module load gcc mvapich2 openblas +rm slurm-* +for nprocs in {1..57..1} +do + cat skeleton1.txt > cmd.sh + echo "#SBATCH -n" $nprocs >> cmd.sh + echo srun cgsolver lap2D_5pt_n100.mtx >> cmd.sh + sbatch cmd.sh +done \ No newline at end of file diff --git a/scratchspace_MPI/matrix.cc b/scratchspace_MPI_ScattervGatherv/matrix.cc similarity index 95% copy from scratchspace_MPI/matrix.cc copy to scratchspace_MPI_ScattervGatherv/matrix.cc index 73f8d1a..50e2081 100644 --- a/scratchspace_MPI/matrix.cc +++ b/scratchspace_MPI_ScattervGatherv/matrix.cc @@ -1,22 +1,23 @@ #include "matrix.hh" #include "matrix_coo.hh" #include #include +#include void Matrix::read(const std::string & fn) { MatrixCOO mat; mat.read(fn); resize(mat.m(), mat.n()); for (int z = 0; z < mat.nz(); ++z) { auto i = mat.irn[z]; auto j = mat.jcn[z]; auto a = mat.a[z]; m_a[i * m_n + j] = a; if (mat.is_sym()) { m_a[j * m_n + i] = a; } } } diff --git a/scratchspace_MPI/matrix.hh b/scratchspace_MPI_ScattervGatherv/matrix.hh similarity index 75% copy from scratchspace_MPI/matrix.hh copy to scratchspace_MPI_ScattervGatherv/matrix.hh index 8e1d250..8ef11d7 100644 --- a/scratchspace_MPI/matrix.hh +++ b/scratchspace_MPI_ScattervGatherv/matrix.hh @@ -1,30 +1,34 @@ #include #include #ifndef __MATRIX_H_ #define __MATRIX_H_ class Matrix { public: Matrix(int m = 0, int n = 0) : m_m(m), m_n(n), m_a(m * n) {} void resize(int m, int n) { m_m = m; m_n = n; m_a.resize(m * n); } inline double & operator()(int i, int j) { return m_a[i * m_n + j]; } inline int m() const { return m_m; } inline int n() const { return m_n; } inline double * data() { return m_a.data(); } void read(const std::string & filename); + /* Custom function to get chunks of contiguous rows of data */ + std::vector getChunk(int sRow, int fRow) const; + inline void setData(const std::vector data) { m_a = data; } + private: int m_m{0}; int m_n{0}; std::vector m_a; }; #endif // __MATRIX_H_ diff --git a/scratchspace_MPI_ScattervGatherv/matrix.o b/scratchspace_MPI_ScattervGatherv/matrix.o new file mode 100644 index 0000000..94814db Binary files /dev/null and b/scratchspace_MPI_ScattervGatherv/matrix.o differ diff --git a/scratchspace_MPI_ScattervGatherv/matrix_coo.cc b/scratchspace_MPI_ScattervGatherv/matrix_coo.cc new file mode 100644 index 0000000..f33dbb5 --- /dev/null +++ b/scratchspace_MPI_ScattervGatherv/matrix_coo.cc @@ -0,0 +1,57 @@ +#include "matrix_coo.hh" +#include "mmio.h" + +void MatrixCOO::read(const std::string & fn) { + int nz; + + int ret_code; + MM_typecode matcode; + FILE * f; + + if ((f = fopen(fn.c_str(), "r")) == NULL) { + printf("Could not open matrix"); + exit(1); + } + + if (mm_read_banner(f, &matcode) != 0) { + printf("Could not process Matrix Market banner.\n"); + exit(1); + } + + // Matrix is sparse + if (not(mm_is_matrix(matcode) and mm_is_coordinate(matcode))) { + printf("Sorry, this application does not support "); + printf("Market Market type: [%s]\n", mm_typecode_to_str(matcode)); + exit(1); + } + + if ((ret_code = mm_read_mtx_crd_size(f, &m_m, &m_n, &nz)) != 0) { + exit(1); + } + + /* reserve memory for matrices */ + irn.resize(nz); + jcn.resize(nz); + a.resize(nz); + + /* NOTE: when reading in doubles, ANSI C requires the use of the "l" */ + /* specifier as in "%lg", "%lf", "%le", otherwise errors will occur */ + /* (ANSI C X3.159-1989, Sec. 4.9.6.2, p. 136 lines 13-15) */ + m_is_sym = mm_is_symmetric(matcode); + for (int i = 0; i < nz; i++) { + int I, J; + double a_; + + fscanf(f, "%d %d %lg\n", &I, &J, &a_); + I--; /* adjust from 1-based to 0-based */ + J--; + + irn[i] = I; + jcn[i] = J; + a[i] = a_; + } + + if (f != stdin) { + fclose(f); + } +} diff --git a/scratchspace_MPI_ScattervGatherv/matrix_coo.hh b/scratchspace_MPI_ScattervGatherv/matrix_coo.hh new file mode 100644 index 0000000..81b440a --- /dev/null +++ b/scratchspace_MPI_ScattervGatherv/matrix_coo.hh @@ -0,0 +1,45 @@ +#include +#include +#include + +#ifndef __MATRIX_COO_H_ +#define __MATRIX_COO_H_ + +class MatrixCOO { +public: + MatrixCOO() = default; + + inline int m() const { return m_m; } + inline int n() const { return m_n; } + + inline int nz() const { return irn.size(); } + inline int is_sym() const { return m_is_sym; } + + void read(const std::string & filename); + + void mat_vec(const std::vector & x, std::vector & y) { + std::fill_n(y.begin(), y.size(), 0.); + + for (size_t z = 0; z < irn.size(); ++z) { + auto i = irn[z]; + auto j = jcn[z]; + auto a_ = a[z]; + + y[i] += a_ * x[j]; + if (m_is_sym and (i != j)) { + y[j] += a_ * x[i]; + } + } + } + + std::vector irn; + std::vector jcn; + std::vector a; + +private: + int m_m{0}; + int m_n{0}; + bool m_is_sym{false}; +}; + +#endif // __MATRIX_COO_H_ diff --git a/scratchspace_MPI_ScattervGatherv/matrix_coo.o b/scratchspace_MPI_ScattervGatherv/matrix_coo.o new file mode 100644 index 0000000..02286ed Binary files /dev/null and b/scratchspace_MPI_ScattervGatherv/matrix_coo.o differ diff --git a/scratchspace_MPI_ScattervGatherv/mmio.c b/scratchspace_MPI_ScattervGatherv/mmio.c new file mode 100644 index 0000000..c250ff2 --- /dev/null +++ b/scratchspace_MPI_ScattervGatherv/mmio.c @@ -0,0 +1,511 @@ +/* +* Matrix Market I/O library for ANSI C +* +* See http://math.nist.gov/MatrixMarket for details. +* +* +*/ + + +#include +#include +#include +#include + +#include "mmio.h" + +int mm_read_unsymmetric_sparse(const char *fname, int *M_, int *N_, int *nz_, + double **val_, int **I_, int **J_) +{ + FILE *f; + MM_typecode matcode; + int M, N, nz; + int i; + double *val; + int *I, *J; + + if ((f = fopen(fname, "r")) == NULL) + return -1; + + + if (mm_read_banner(f, &matcode) != 0) + { + printf("mm_read_unsymetric: Could not process Matrix Market banner "); + printf(" in file [%s]\n", fname); + return -1; + } + + + + if ( !(mm_is_real(matcode) && mm_is_matrix(matcode) && + mm_is_sparse(matcode))) + { + fprintf(stderr, "Sorry, this application does not support "); + fprintf(stderr, "Market Market type: [%s]\n", + mm_typecode_to_str(matcode)); + return -1; + } + + /* find out size of sparse matrix: M, N, nz .... */ + + if (mm_read_mtx_crd_size(f, &M, &N, &nz) !=0) + { + fprintf(stderr, "read_unsymmetric_sparse(): could not parse matrix size.\n"); + return -1; + } + + *M_ = M; + *N_ = N; + *nz_ = nz; + + /* reseve memory for matrices */ + + I = (int *) malloc(nz * sizeof(int)); + J = (int *) malloc(nz * sizeof(int)); + val = (double *) malloc(nz * sizeof(double)); + + *val_ = val; + *I_ = I; + *J_ = J; + + /* NOTE: when reading in doubles, ANSI C requires the use of the "l" */ + /* specifier as in "%lg", "%lf", "%le", otherwise errors will occur */ + /* (ANSI C X3.159-1989, Sec. 4.9.6.2, p. 136 lines 13-15) */ + + for (i=0; i cmd.sh + echo "#SBATCH -n" $nprocs >> cmd.sh + echo srun cgsolver bandMatrix_nproc$nprocs.mtx >> cmd.sh + sbatch cmd.sh +done \ No newline at end of file diff --git a/scratchspace_gprof/.DS_Store b/scratchspace_gprof/.DS_Store new file mode 100644 index 0000000..7d88507 Binary files /dev/null and b/scratchspace_gprof/.DS_Store differ diff --git a/scratchspace_CU/Makefile b/scratchspace_gprof/Makefile similarity index 66% copy from scratchspace_CU/Makefile copy to scratchspace_gprof/Makefile index 9074e78..79dda4a 100644 --- a/scratchspace_CU/Makefile +++ b/scratchspace_gprof/Makefile @@ -1,14 +1,17 @@ CXX=g++ LD=${CXX} -CXXFLAGS+=-Wall -Wextra -Werror -pedantic -std=c++11 -I${OPENBLAS_ROOT}/include + +#DEBUG+=-pg -g -O0 + +CXXFLAGS+= $(DEBUG) -Wall -Wextra -Werror -pedantic -std=c++11 -I${OPENBLAS_ROOT}/include LDFLAGS+=-lm $(CXXFLAGS) -L${OPENBLAS_ROOT}/lib -lopenblas OBJS=cg_main.o cg.o matrix.o matrix_coo.o mmio.o all: cgsolver cgsolver: $(OBJS) $(LD) -o $@ $(OBJS) $(LDFLAGS) clean: rm -f cgsolver *.o *~ diff --git a/scratchspace_gprof/README.md b/scratchspace_gprof/README.md new file mode 100644 index 0000000..06afef5 --- /dev/null +++ b/scratchspace_gprof/README.md @@ -0,0 +1,31 @@ +PHPC - CONJUGATE GRADIENT PROJECT + +HOWTO COMPILE AND RUN +===================== + +Requirements : + +- a recent compiler (like gcc or intel) +- a cblas library (like openblas or intel MKL) + +compile on SCITAS clusters : + +``` +$ module load gcc openblas +$ make +``` + +You should see this output (timing is indicative) : + +``` +$ srun ./conjugategradient lap2D_5pt_n100.mtx +size of matrix = 10000 x 10000 +Call cgsolver() on matrix size (10000 x 10000) + [STEP 488] residual = 1.103472E-10 +Time for CG = 36.269389 [s] +``` + +The given example is a 5-points stencil for the 2D Laplace problem. The matrix is in sparse format. + +The matrix format is [Matrix Market format (.mtx extension)](https://sparse.tamu.edu/). You can use other matrices there or create your own. + diff --git a/scratchspace_MPI/cg.cc b/scratchspace_gprof/cg.cc similarity index 100% copy from scratchspace_MPI/cg.cc copy to scratchspace_gprof/cg.cc diff --git a/scratchspace_CU/cg.hh b/scratchspace_gprof/cg.hh similarity index 100% copy from scratchspace_CU/cg.hh copy to scratchspace_gprof/cg.hh diff --git a/scratchspace_gprof/cg.o b/scratchspace_gprof/cg.o new file mode 100644 index 0000000..b5a90f7 Binary files /dev/null and b/scratchspace_gprof/cg.o differ diff --git a/scratchspace_MPI/cg_main.cc b/scratchspace_gprof/cg_main.cc similarity index 100% copy from scratchspace_MPI/cg_main.cc copy to scratchspace_gprof/cg_main.cc diff --git a/scratchspace_gprof/cg_main.o b/scratchspace_gprof/cg_main.o new file mode 100644 index 0000000..f598642 Binary files /dev/null and b/scratchspace_gprof/cg_main.o differ diff --git a/scratchspace_gprof/cgsolver b/scratchspace_gprof/cgsolver new file mode 100755 index 0000000..d66498c Binary files /dev/null and b/scratchspace_gprof/cgsolver differ diff --git a/scratchspace_gprof/gmon.out b/scratchspace_gprof/gmon.out new file mode 100644 index 0000000..cd464f4 Binary files /dev/null and b/scratchspace_gprof/gmon.out differ diff --git a/scratchspace_gprof/lap2D_5pt_n100.mtx b/scratchspace_gprof/lap2D_5pt_n100.mtx new file mode 100644 index 0000000..dae3c1e --- /dev/null +++ b/scratchspace_gprof/lap2D_5pt_n100.mtx @@ -0,0 +1,29803 @@ +%%MatrixMarket matrix coordinate real symmetric +% Generated 20-Nov-2014 +10000 10000 29800 +1 1 4 +2 1 -1 +101 1 -1 +2 2 4 +3 2 -1 +102 2 -1 +3 3 4 +4 3 -1 +103 3 -1 +4 4 4 +5 4 -1 +104 4 -1 +5 5 4 +6 5 -1 +105 5 -1 +6 6 4 +7 6 -1 +106 6 -1 +7 7 4 +8 7 -1 +107 7 -1 +8 8 4 +9 8 -1 +108 8 -1 +9 9 4 +10 9 -1 +109 9 -1 +10 10 4 +11 10 -1 +110 10 -1 +11 11 4 +12 11 -1 +111 11 -1 +12 12 4 +13 12 -1 +112 12 -1 +13 13 4 +14 13 -1 +113 13 -1 +14 14 4 +15 14 -1 +114 14 -1 +15 15 4 +16 15 -1 +115 15 -1 +16 16 4 +17 16 -1 +116 16 -1 +17 17 4 +18 17 -1 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+} + +void MatrixCOO::read(const std::string & fn) { + int nz; + + int ret_code; + MM_typecode matcode; + FILE * f; + + if ((f = fopen(fn.c_str(), "r")) == NULL) { + printf("Could not open matrix"); + exit(1); + } + + if (mm_read_banner(f, &matcode) != 0) { + printf("Could not process Matrix Market banner.\n"); + exit(1); + } + + // Matrix is sparse + if (not(mm_is_matrix(matcode) and mm_is_coordinate(matcode))) { + printf("Sorry, this application does not support "); + printf("Market Market type: [%s]\n", mm_typecode_to_str(matcode)); + exit(1); + } + + if ((ret_code = mm_read_mtx_crd_size(f, &m_m, &m_n, &nz)) != 0) { + exit(1); + } + + /* reserve memory for matrices */ + irn.resize(nz); + jcn.resize(nz); + a.resize(nz); + + /* NOTE: when reading in doubles, ANSI C requires the use of the "l" */ + /* specifier as in "%lg", "%lf", "%le", otherwise errors will occur */ + /* (ANSI C X3.159-1989, Sec. 4.9.6.2, p. 136 lines 13-15) */ + m_is_sym = mm_is_symmetric(matcode); + for (int i = 0; i < nz; i++) { + int I, J; + double a_; + + fscanf(f, "%d %d %lg\n", &I, &J, &a_); + I--; /* adjust from 1-based to 0-based */ + J--; + + irn[i] = I; + jcn[i] = J; + a[i] = a_; + } + + if (f != stdin) { + fclose(f); + } +} diff --git a/scratchspace_gprof/matrix_coo.hh b/scratchspace_gprof/matrix_coo.hh new file mode 100644 index 0000000..81b440a --- /dev/null +++ b/scratchspace_gprof/matrix_coo.hh @@ -0,0 +1,45 @@ +#include +#include +#include + +#ifndef __MATRIX_COO_H_ +#define __MATRIX_COO_H_ + +class MatrixCOO { +public: + MatrixCOO() = default; + + inline int m() const { return m_m; } + inline int n() const { return m_n; } + + inline int nz() const { return irn.size(); } + inline int is_sym() const { return m_is_sym; } + + void read(const std::string & filename); + + void mat_vec(const std::vector & x, std::vector & y) { + std::fill_n(y.begin(), y.size(), 0.); + + for (size_t z = 0; z < irn.size(); ++z) { + auto i = irn[z]; + auto j = jcn[z]; + auto a_ = a[z]; + + y[i] += a_ * x[j]; + if (m_is_sym and (i != j)) { + y[j] += a_ * x[i]; + } + } + } + + std::vector irn; + std::vector jcn; + std::vector a; + +private: + int m_m{0}; + int m_n{0}; + bool m_is_sym{false}; +}; + +#endif // __MATRIX_COO_H_ diff --git a/scratchspace_gprof/matrix_coo.o b/scratchspace_gprof/matrix_coo.o new file mode 100644 index 0000000..92f4418 Binary files /dev/null and b/scratchspace_gprof/matrix_coo.o differ diff --git a/scratchspace_gprof/mmio.c b/scratchspace_gprof/mmio.c new file mode 100644 index 0000000..c250ff2 --- /dev/null +++ b/scratchspace_gprof/mmio.c @@ -0,0 +1,511 @@ +/* +* Matrix Market I/O library for ANSI C +* +* See http://math.nist.gov/MatrixMarket for details. +* +* +*/ + + +#include +#include +#include +#include + +#include "mmio.h" + +int mm_read_unsymmetric_sparse(const char *fname, int *M_, int *N_, int *nz_, + double **val_, int **I_, int **J_) +{ + FILE *f; + MM_typecode matcode; + int M, N, nz; + int i; + double *val; + int *I, *J; + + if ((f = fopen(fname, "r")) == NULL) + return -1; + + + if (mm_read_banner(f, &matcode) != 0) + { + printf("mm_read_unsymetric: Could not process Matrix Market banner "); + printf(" in file [%s]\n", fname); + return -1; + } + + + + if ( !(mm_is_real(matcode) && mm_is_matrix(matcode) && + mm_is_sparse(matcode))) + { + fprintf(stderr, "Sorry, this application does not support "); + fprintf(stderr, "Market Market type: [%s]\n", + mm_typecode_to_str(matcode)); + return -1; + } + + /* find out size of sparse matrix: M, N, nz .... */ + + if (mm_read_mtx_crd_size(f, &M, &N, &nz) !=0) + { + fprintf(stderr, "read_unsymmetric_sparse(): could not parse matrix size.\n"); + return -1; + } + + *M_ = M; + *N_ = N; + *nz_ = nz; + + /* reseve memory for matrices */ + + I = (int *) malloc(nz * sizeof(int)); + J = (int *) malloc(nz * sizeof(int)); + val = (double *) malloc(nz * sizeof(double)); + + *val_ = val; + *I_ = I; + *J_ = J; + + /* NOTE: when reading in doubles, ANSI C requires the use of the "l" */ + /* specifier as in "%lg", "%lf", "%le", otherwise errors will occur */ + /* (ANSI C X3.159-1989, Sec. 4.9.6.2, p. 136 lines 13-15) */ + + for (i=0; i