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example_cupolar_cHalley.cu
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example_cupolar_cHalley.cu
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/* MIT License
*
* Copyright (c) 2024 Maximilian Behr
*
* Permission is hereby granted, free of charge, to any person obtaining a copy
* of this software and associated documentation files (the "Software"), to deal
* in the Software without restriction, including without limitation the rights
* to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
* copies of the Software, and to permit persons to whom the Software is
* furnished to do so, subject to the following conditions:
*
* The above copyright notice and this permission notice shall be included in all
* copies or substantial portions of the Software.
*
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
* AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
* OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
* SOFTWARE.
*/
#include <stdio.h>
#include <stdlib.h>
#include "cupolar.h"
int main(void) {
/*-----------------------------------------------------------------------------
* variables
*-----------------------------------------------------------------------------*/
int ret = 0; // return value
const int n = 100; // size of the input matrix A n-by-n
cuComplex *A, *Q, *H; // input matrix and factor matrices
void *d_buffer = NULL; // device buffer
void *h_buffer = NULL; // host buffer
/*-----------------------------------------------------------------------------
* allocate A, Q and H
*-----------------------------------------------------------------------------*/
cudaMallocManaged((void **)&A, sizeof(*A) * n * n);
cudaMallocManaged((void **)&Q, sizeof(*Q) * n * n);
cudaMallocManaged((void **)&H, sizeof(*H) * n * n);
/*-----------------------------------------------------------------------------
* create a random matrix A
*-----------------------------------------------------------------------------*/
srand(0);
for (int i = 0; i < n; ++i) {
for (int j = 0; j < n; ++j) {
A[i + j * n] = cuComplex{(float)rand() / RAND_MAX, (float)rand() / RAND_MAX};
}
}
/*-----------------------------------------------------------------------------
* perform a workspace query and allocate memory buffer on the host and device
*-----------------------------------------------------------------------------*/
size_t d_bufferSize = 0, h_bufferSize = 0;
cupolar_cHalleyBufferSize(n, &d_bufferSize, &h_bufferSize);
if (d_bufferSize > 0) {
cudaMalloc((void **)&d_buffer, d_bufferSize);
}
if (h_bufferSize > 0) {
h_buffer = malloc(h_bufferSize);
}
/*-----------------------------------------------------------------------------
* compute Q and H
*-----------------------------------------------------------------------------*/
cupolar_cHalley(n, A, d_buffer, h_buffer, Q, H);
/*-----------------------------------------------------------------------------
* check polar decomposition A = Q*H
*-----------------------------------------------------------------------------*/
float fronrmA = 0.0f, fronrmdiff = 0.0f;
for (int i = 0; i < n; ++i) {
for (int j = 0; j < n; ++j) {
cuComplex sum = cuComplex{0.0f, 0.0f};
for (int k = 0; k < n; ++k) {
sum = cuCaddf(sum, cuCmulf(Q[i + k * n], H[k + j * n]));
}
float diff = cuCabsf((cuCsubf(A[i + j * n], sum)));
fronrmdiff += diff * diff;
fronrmA += cuCrealf(cuCmulf(cuConjf(A[i + j * n]), A[i + j * n]));
}
}
float error = sqrtf(fronrmdiff / fronrmA);
printf("rel. error ||A-Q*H||_F / ||A||_F = %e\n", error);
if (error < 1e-4) {
printf("Polar Decomposition successful\n");
} else {
printf("Polar Decomposition failed\n");
ret = 1;
}
/*-----------------------------------------------------------------------------
* clear memory
*-----------------------------------------------------------------------------*/
cudaFree(A);
cudaFree(Q);
cudaFree(H);
cudaFree(d_buffer);
free(h_buffer);
return ret;
}