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mp_geqrf.c
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mp_geqrf.c
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/*
* Copyright 2023 NVIDIA Corporation. All rights reserved.
*
* NOTICE TO LICENSEE:
*
* This source code and/or documentation ("Licensed Deliverables") are
* subject to NVIDIA intellectual property rights under U.S. and
* international Copyright laws.
*
* These Licensed Deliverables contained herein is PROPRIETARY and
* CONFIDENTIAL to NVIDIA and is being provided under the terms and
* conditions of a form of NVIDIA software license agreement by and
* between NVIDIA and Licensee ("License Agreement") or electronically
* accepted by Licensee. Notwithstanding any terms or conditions to
* the contrary in the License Agreement, reproduction or disclosure
* of the Licensed Deliverables to any third party without the express
* written consent of NVIDIA is prohibited.
*
* NOTWITHSTANDING ANY TERMS OR CONDITIONS TO THE CONTRARY IN THE
* LICENSE AGREEMENT, NVIDIA MAKES NO REPRESENTATION ABOUT THE
* SUITABILITY OF THESE LICENSED DELIVERABLES FOR ANY PURPOSE. IT IS
* PROVIDED "AS IS" WITHOUT EXPRESS OR IMPLIED WARRANTY OF ANY KIND.
* NVIDIA DISCLAIMS ALL WARRANTIES WITH REGARD TO THESE LICENSED
* DELIVERABLES, INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY,
* NONINFRINGEMENT, AND FITNESS FOR A PARTICULAR PURPOSE.
* NOTWITHSTANDING ANY TERMS OR CONDITIONS TO THE CONTRARY IN THE
* LICENSE AGREEMENT, IN NO EVENT SHALL NVIDIA BE LIABLE FOR ANY
* SPECIAL, INDIRECT, INCIDENTAL, OR CONSEQUENTIAL DAMAGES, OR ANY
* DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS,
* WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS
* ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE
* OF THESE LICENSED DELIVERABLES.
*
* U.S. Government End Users. These Licensed Deliverables are a
* "commercial item" as that term is defined at 48 C.F.R. 2.101 (OCT
* 1995), consisting of "commercial computer software" and "commercial
* computer software documentation" as such terms are used in 48
* C.F.R. 12.212 (SEPT 1995) and is provided to the U.S. Government
* only as a commercial end item. Consistent with 48 C.F.R.12.212 and
* 48 C.F.R. 227.7202-1 through 227.7202-4 (JUNE 1995), all
* U.S. Government End Users acquire the Licensed Deliverables with
* only those rights set forth herein.
*
* Any use of the Licensed Deliverables in individual and commercial
* software must include, in the user documentation and internal
* comments to the code, the above Disclaimer and U.S. Government End
* Users Notice.
*/
#include <stdint.h>
#include <stdio.h>
#include <stdlib.h>
#include <assert.h>
#include <math.h>
#include <mpi.h>
#include <cusolverMp.h>
#include "helpers.h"
#ifdef USE_CAL_MPI
#include <cal_mpi.h>
#endif
/* A is 1D laplacian, return A[N:-1:1, :] */
static void gen_matrix(int64_t M, int64_t N, double* A, int64_t lda)
{
/* set A[0:N, 0:N] = 0 */
for (int64_t J = 0; J < N; J++)
{
for (int64_t I = 0; I < M; I++)
{
A[I + J * lda] = J % 6 + I % 3 + 2 * I / 7 + 3 * J / 6;
}
}
/* set entries */
const int64_t M_N_min = (M < N) ? M : N;
for (int J = 0; J < M_N_min; J++)
{
/* main diagonal */
A[((M - 1) - J) + J * lda] = 2.0;
A[J + J * lda] = 2.0;
/* upper diagonal */
if (J > 0)
{
A[((M - 1) - (J - 1)) + J * lda] = -1.0;
}
/* lower diagonal */
if (J < (N - 1))
{
A[((M - 1) - (J + 1)) + J * lda] = -1.0;
}
}
}
/* Print matrix */
static void print_host_matrix(int64_t M, int64_t N, double* A, int64_t lda, const char* msg)
{
if (M * N > 2000) return;
printf("print_host_matrix : %s\n", msg);
for (int64_t i = 0; i < M; i++)
{
for (int64_t j = 0; j < N; j++)
{
printf("%.2lf ", A[i + j * lda]);
}
printf("\n");
}
}
int main(int argc, char* argv[])
{
/* Initialize MPI library */
MPI_Init(NULL, NULL);
/* Define dimensions, block sizes and offsets of A and B matrices */
const int64_t M = 10;
const int64_t N = 10;
/* Tile sizes */
const int64_t MA = 24;
const int64_t NA = 24;
/* Offsets of A and B matrices (base-1) */
const int64_t IA = 4;
const int64_t JA = 4;
/* Define grid of processors */
const int numRowDevices = 2;
const int numColDevices = 1;
/* Current implementation only allows RSRC,CSRC=(0,0) */
const uint32_t RSRCA = 0;
const uint32_t CSRCA = 0;
assert(RSRCA == 0 && CSRCA == 0); // only RSRCA==0 and CSRC==0 are supported
/* Get rank id and rank size of the com. */
int rankSize, rankId;
MPI_Comm_size(MPI_COMM_WORLD, &rankSize);
MPI_Comm_rank(MPI_COMM_WORLD, &rankId);
/* Library handles */
cusolverMpHandle_t cusolverMpHandle = NULL;
cal_comm_t cal_comm = NULL;
/* Error codes */
cusolverStatus_t cusolverStat = CUSOLVER_STATUS_SUCCESS;
calError_t calStat = CAL_OK;
cudaError_t cudaStat = cudaSuccess;
/* User defined stream */
cudaStream_t localStream = NULL;
/*
* localDeviceId is the deviceId from rank's point of view. This is
* system-dependent. For example, setting one device per process,
* Summit always sees the local device as device 0.
*/
const int localDeviceId = getLocalRank();
cudaStat = cudaSetDevice(localDeviceId);
assert(cudaStat == cudaSuccess);
cudaStat = cudaFree(0);
assert(cudaStat == cudaSuccess);
/* Create communicator */
#ifdef USE_CAL_MPI
calStat = cal_comm_create_mpi(MPI_COMM_WORLD, rankId, rankSize, localDeviceId, &cal_comm);
#else
cal_comm_create_params_t params;
params.allgather = allgather;
params.req_test = request_test;
params.req_free = request_free;
params.data = (void*)(MPI_COMM_WORLD);
params.rank = rankId;
params.nranks = rankSize;
params.local_device = localDeviceId;
calStat = cal_comm_create(params, &cal_comm);
#endif
assert(calStat == CAL_OK);
/* Create local stream */
cudaStat = cudaStreamCreate(&localStream);
assert(cudaStat == cudaSuccess);
/* Initialize cusolverMp library handle */
cusolverStat = cusolverMpCreate(&cusolverMpHandle, localDeviceId, localStream);
assert(cusolverStat == CUSOLVER_STATUS_SUCCESS);
/* cudaLigMg grids */
cusolverMpGrid_t gridA = NULL;
/* cudaLib matrix descriptors */
cusolverMpMatrixDescriptor_t descrA = NULL;
/* Distributed matrices */
void* d_A = NULL;
void* d_tau = NULL;
/* Distributed device workspace */
void* d_work_geqrf = NULL;
/* Distributed host workspace */
void* h_work_geqrf = NULL;
/* size of workspace on device */
size_t workspaceInBytesOnDevice_geqrf = 0;
/* size of workspace on host */
size_t workspaceInBytesOnHost_geqrf = 0;
/* error codes from cusolverMp (device) */
int* d_info_geqrf = NULL;
/* error codes from cusolverMp (host) */
int h_info_geqrf = 0;
/* =========================================== */
/* Create inputs on master rank */
/* =========================================== */
/* Single process per device */
assert((numRowDevices * numColDevices) <= rankSize);
/* =========================================== */
/* Create inputs on master rank */
/* =========================================== */
const int64_t lda = (IA - 1) + M;
const int64_t colsA = (JA - 1) + N;
double* h_A = NULL;
double* h_QR = NULL;
double* h_tau = NULL;
void* d_global_Q = NULL;
void* d_global_R = NULL;
void* d_global_tau = NULL;
if (rankId == 0)
{
/* allocate host workspace */
h_A = (double*)malloc(lda * colsA * sizeof(double));
h_QR = (double*)malloc(lda * colsA * sizeof(double));
memset(h_A, 0, lda * colsA * sizeof(double));
double* _A = &h_A[(IA - 1) + (JA - 1) * lda]; // first entry of A
gen_matrix(M, N, _A, lda);
print_host_matrix(lda, colsA, h_A, lda, "Input matrix A");
h_tau = (double*)malloc(lda * sizeof(double));
}
/* =========================================== */
/* COMPUTE LLDA AND LLDB */
/* =========================================== */
/*
* Compute number of tiles per rank to store local portion of A
*
* Current implementation has the following restrictions on the size of
* the device buffer size:
* - Rows of device buffer is a multiple of MA
* - Cols of device buffer is a multiple of NA
*
* This limitation will be removed on the official release.
*/
const int64_t LLDA = cusolverMpNUMROC(lda, MA, RSRCA, rankId % numRowDevices, numRowDevices);
const int64_t localColsA = cusolverMpNUMROC(colsA, NA, CSRCA, rankId / numRowDevices, numColDevices);
/*
* Compute number of tiles per rank to store local portion of B
*
* Current implementation has the following restrictions on the size of
* the device buffer size:
* - Rows of device buffer is a multiple of MB
* - Cols of device buffer is a multiple of NB
*
* This limitation will be removed on the official release.
*/
/* Allocate global d_A */
cudaStat = cudaMalloc((void**)&d_A, localColsA * LLDA * sizeof(double));
assert(cudaStat == cudaSuccess);
/* =========================================== */
/* CREATE GRID DESCRIPTORS */
/* =========================================== */
cusolverStat = cusolverMpCreateDeviceGrid(
cusolverMpHandle, &gridA, cal_comm, numRowDevices, numColDevices, CUSOLVERMP_GRID_MAPPING_COL_MAJOR);
assert(cusolverStat == CUSOLVER_STATUS_SUCCESS);
/* =========================================== */
/* CREATE MATRIX DESCRIPTORS */
/* =========================================== */
cusolverStat = cusolverMpCreateMatrixDesc(
&descrA, gridA, CUDA_R_64F, (IA - 1) + M, (JA - 1) + N, MA, NA, RSRCA, CSRCA, LLDA);
assert(cusolverStat == CUSOLVER_STATUS_SUCCESS);
/* Allocate global d_tau */
cudaStat = cudaMalloc((void**)&d_tau, localColsA * sizeof(double));
assert(cudaStat == cudaSuccess);
/* =========================================== */
/* ALLOCATE D_INFO */
/* =========================================== */
cudaStat = cudaMalloc((void**)&d_info_geqrf, sizeof(int));
assert(cudaStat == cudaSuccess);
/* =========================================== */
/* RESET D_INFO */
/* =========================================== */
cudaStat = cudaMemset(d_info_geqrf, 0, sizeof(int));
assert(cudaStat == cudaSuccess);
/* =========================================== */
/* QUERY WORKSPACE SIZE FOR MP ROUTINES */
/* =========================================== */
cusolverStat = cusolverMpGeqrf_bufferSize(cusolverMpHandle,
M,
N,
d_A,
IA,
JA,
descrA,
CUDA_R_64F,
&workspaceInBytesOnDevice_geqrf,
&workspaceInBytesOnHost_geqrf);
assert(cusolverStat == CUSOLVER_STATUS_SUCCESS);
/* =========================================== */
/* ALLOCATE Pgeqrf WORKSPACE */
/* =========================================== */
cudaStat = cudaMalloc((void**)&d_work_geqrf, workspaceInBytesOnDevice_geqrf);
assert(cudaStat == cudaSuccess);
h_work_geqrf = (void*)malloc(workspaceInBytesOnHost_geqrf);
assert(h_work_geqrf != NULL);
/* =========================================== */
/* SCATTER MATRICES A AND B FROM MASTER */
/* =========================================== */
cusolverStat = cusolverMpMatrixScatterH2D(cusolverMpHandle,
lda,
colsA,
(void*)d_A, /* routine requires void** */
1,
1,
descrA,
0, /* root rank */
(void*)h_A,
lda);
assert(cusolverStat == CUSOLVER_STATUS_SUCCESS);
/* sync wait for data to arrive to device */
calStat = cal_stream_sync(cal_comm, localStream);
assert(calStat == CAL_OK);
/* =========================================== */
/* CALL Pgeqrf */
/* =========================================== */
cusolverStat = cusolverMpGeqrf(cusolverMpHandle,
M,
N,
d_A,
IA,
JA,
descrA,
d_tau,
CUDA_R_64F,
d_work_geqrf,
workspaceInBytesOnDevice_geqrf,
h_work_geqrf,
workspaceInBytesOnHost_geqrf,
d_info_geqrf);
/* sync after cusolverMpgeqrf */
calStat = cal_stream_sync(cal_comm, localStream);
assert(calStat == CAL_OK);
/* copy d_info_geqrf to host */
cudaStat = cudaMemcpyAsync(&h_info_geqrf, d_info_geqrf, sizeof(int), cudaMemcpyDeviceToHost, localStream);
assert(cudaStat == cudaSuccess);
/* =========================================== */
/* GATHER MATRICES A AND B FROM MASTER */
/* =========================================== */
/* Copy solution to h_A */
cusolverStat = cusolverMpMatrixGatherD2H(cusolverMpHandle,
lda,
colsA,
(void*)d_A,
1,
1,
descrA,
0, /* master rank, destination */
(void*)h_QR,
lda);
assert(cusolverStat == CUSOLVER_STATUS_SUCCESS);
/* sync wait for data to arrive to host */
calStat = cal_stream_sync(cal_comm, localStream);
assert(calStat == CAL_OK);
/* =========================================== */
/* PRINT A ON RANK 0 */
/* =========================================== */
if (rankId == 0)
{
print_host_matrix(lda, colsA, h_QR, lda, "Output matrix QR");
}
// allocate global GPU arrays and copy h_A to d_global_Q, d_global_R
if (rankId == 0)
{
cudaStat = cudaMalloc((void**)&d_global_Q, lda * colsA * sizeof(double));
assert(cudaStat == cudaSuccess);
cudaStat = cudaMalloc((void**)&d_global_R, lda * colsA * sizeof(double));
assert(cudaStat == cudaSuccess);
cudaStat = cudaMalloc((void**)&d_global_tau, colsA * sizeof(double));
assert(cudaStat == cudaSuccess);
cudaStat = cudaMemcpy(d_global_Q, h_A, sizeof(double) * lda * colsA, cudaMemcpyHostToDevice);
assert(cudaStat == cudaSuccess);
cudaStat = cudaMemcpy(d_global_R, d_global_Q, sizeof(double) * lda * colsA, cudaMemcpyDeviceToDevice);
assert(cudaStat == cudaSuccess);
// compare to 1 gpu cusolverDnGeqrf
cusolverDnParams_t dn_geqrf_params = NULL;
cusolverStat = cusolverDnCreateParams(&dn_geqrf_params);
// cusolverDnHandle_t cudenseHandle = cusolverMpHandle->cusolverDnH;
cusolverDnHandle_t cudenseHandle;
cusolverStat = cusolverDnCreate(&cudenseHandle);
assert(cusolverStat == CUSOLVER_STATUS_SUCCESS);
cusolverStat = cusolverDnSetStream(cudenseHandle, localStream);
assert(cusolverStat == CUSOLVER_STATUS_SUCCESS);
const void* d_global_Q_ptr = (double*)d_global_Q + ((IA - 1) + (JA - 1) * lda);
cusolverStat = cusolverDnXgeqrf( // overwrites A
cudenseHandle,
dn_geqrf_params,
M,
N,
CUDA_R_64F,
(void*)d_global_Q_ptr, // in/out
lda,
CUDA_R_64F,
(void*)d_global_tau,
CUDA_R_64F,
(void*)d_work_geqrf,
workspaceInBytesOnDevice_geqrf,
(void*)h_work_geqrf,
workspaceInBytesOnHost_geqrf,
d_info_geqrf);
assert(cusolverStat == CUSOLVER_STATUS_SUCCESS);
cudaStat = cudaMemcpy(h_A, d_global_Q, sizeof(double) * lda * colsA, cudaMemcpyDeviceToHost);
assert(cudaStat == cudaSuccess);
print_host_matrix(lda, colsA, h_A, lda, "A after cusolverDnXgeqrf");
int passed = 0;
int failed = 0;
int passed_abs = 0;
int failed_abs = 0;
for (int i = 0; i < (M + IA - 1) * (N + JA - 1); i++)
{
if (fabs(h_A[i] - h_QR[i]) < 0.001)
passed++;
else
failed++;
if (fabs(fabs(h_A[i]) - fabs(h_QR[i])) < 0.001)
passed_abs++;
else
failed_abs++;
h_A[i] = fabs(h_A[i] - h_QR[i]);
}
print_host_matrix(lda, colsA, h_A, lda, "difference");
printf("passed_abs %d failed_abs %d passed %d failed %d\n", passed_abs, failed_abs, passed, failed);
}
/* =========================================== */
/* CLEAN UP HOST WORKSPACE ON MASTER */
/* =========================================== */
if (rankId == 0)
{
if (h_A)
{
free(h_A);
h_A = NULL;
}
if (h_tau)
{
free(h_tau);
h_tau = NULL;
}
}
/* =========================================== */
/* DESTROY MATRIX DESCRIPTORS */
/* =========================================== */
cusolverStat = cusolverMpDestroyMatrixDesc(descrA);
assert(cusolverStat == CUSOLVER_STATUS_SUCCESS);
/* =========================================== */
/* DESTROY MATRIX GRIDS */
/* =========================================== */
cusolverStat = cusolverMpDestroyGrid(gridA);
assert(cusolverStat == CUSOLVER_STATUS_SUCCESS);
/* =========================================== */
/* DEALLOCATE DEVICE WORKSPACE */
/* =========================================== */
if (d_A != NULL)
{
cudaStat = cudaFree(d_A);
assert(cudaStat == cudaSuccess);
d_A = NULL;
}
if (d_tau != NULL)
{
cudaStat = cudaFree(d_tau);
assert(cudaStat == cudaSuccess);
d_tau = NULL;
}
if (d_work_geqrf != NULL)
{
cudaStat = cudaFree(d_work_geqrf);
assert(cudaStat == cudaSuccess);
d_work_geqrf = NULL;
}
if (d_info_geqrf != NULL)
{
cudaStat = cudaFree(d_info_geqrf);
assert(cudaStat == cudaSuccess);
d_info_geqrf = NULL;
}
/* =========================================== */
/* DEALLOCATE HOST WORKSPACE */
/* =========================================== */
if (h_work_geqrf)
{
free(h_work_geqrf);
h_work_geqrf = NULL;
}
/* =========================================== */
/* CLEANUP */
/* =========================================== */
/* Destroy cusolverMp handle */
cusolverStat = cusolverMpDestroy(cusolverMpHandle);
assert(cusolverStat == CUSOLVER_STATUS_SUCCESS);
/* sync before cal_comm_destroy */
calStat = cal_comm_barrier(cal_comm, localStream);
assert(calStat == CAL_OK);
/* destroy CAL communicator */
calStat = cal_comm_destroy(cal_comm);
assert(calStat == CAL_OK);
/* destroy user stream */
cudaStat = cudaStreamDestroy(localStream);
assert(cudaStat == cudaSuccess);
/* MPI barrier before MPI_Finalize */
MPI_Barrier(MPI_COMM_WORLD);
/* Finalize MPI environment */
MPI_Finalize();
return 0;
};