MAGMA Forum

by **lanbanger** » Wed Feb 16, 2011 8:48 am

I have a 180x180 input matrix to magma_spotrf_gpu. The function returns the value 5 in the "info" variable, indicating that the matrix was non positive definite due to leading minor 5. However, if I put the matrix in to matlab and call "chol(matrix)", all is fine and the square root functions normally. Likewise, the eigenvalues of the matrix are all positive. I will attach the matrix in question to a subsequent message, perhaps there is a bug in magma_spotrf_gpu?

magma version 0.2
CUDA 3.1
Ubuntu 10.04

by **fletchjp** » Wed Feb 16, 2011 6:51 pm

There is a later version of Magma, 1.0.0 RC3. It may be worthwhile to try that.

by **lanbanger** » Fri Feb 18, 2011 9:17 am

Thanks, I am aware of the new Release Candidate version. However, given that it is a Release Candidate (and there are several people reporting problems with exactly the class of NVidia hardware that I'm running on), together with the fact that the function prototype for magma_spotrf_gpu has changed significantly requiring me to #IFDEF the relevant code in and out, I don't have a lot of confidence that switching to a new version is going to solve this problem in a reasonable timeframe.

by **lanbanger** » Fri Feb 18, 2011 9:21 am

I would upload the problem matrix but

1. I cannot upload files with the extension csv
2. I cannot upload files with the extension txt
3. I cannot uplaod files with no extension
4. I cannot paste in the matrix as text because it exceeds the character limit.

by **lanbanger** » Wed Feb 23, 2011 5:49 am

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by **lanbanger** » Wed Feb 23, 2011 5:51 am

Apologies for the delay in replying, I've been laid up in bed with an infection. Also, thanks to those people who replied via e-mail. Above is the matrix, it is 180x180, and when I import it in to Matlab the Cholesky square root works fine. In MAGMA I get the error as described previously. Any insights are very welcome, I'm falling way behind on my work.

by **fletchjp** » Wed Feb 23, 2011 8:53 pm

I have imported your matrix and called it matrix180.dat.

I have modified testing_spotrf.cpp as follows. If you run it with -N 180 it reads the matrix instead of getting a random one.

Code: Select all: /* * -- MAGMA (version 1.0) -- * Univ. of Tennessee, Knoxville * Univ. of California, Berkeley * Univ. of Colorado, Denver * November 2010 * * @generated s * **/ // includes, system #include <stdlib.h> #include <stdio.h> #include <string.h> #include <math.h> #include <cuda.h> #include <cuda_runtime_api.h> #include <cublas.h> // includes, project #include "flops.h" #include "magma.h" #include "testings.h" // Flops formula #define PRECISION_s #if defined(PRECISION_z) || defined(PRECISION_c) #define FLOPS(n) ( 6. * FMULS_POTRF(n) + 2. * FADDS_POTRF(n) ) #else #define FLOPS(n) ( FMULS_POTRF(n) + FADDS_POTRF(n) ) #endif /* //////////////////////////////////////////////////////////////////////////// -- Testing spotrf */ int main( int argc, char** argv) { TESTING_CUDA_INIT(); TimeStruct start, end; float flops, gpu_perf, cpu_perf; float *h_A, *h_R; magma_int_t N=0, n2, lda; magma_int_t size[10] = {1024,2048,3072,4032,5184,6048,7200,8064,8928,10240}; FILE *fp ; magma_int_t i, info, j; const char *uplo = MagmaLowerStr; float mzone = MAGMA_S_NEG_ONE; magma_int_t ione = 1; magma_int_t ISEED[4] = {0,0,0,1}; float work[1], matnorm, temp; int special180 = 0; if (argc != 1){ for(i = 1; i<argc; i++){ if (strcmp("-N", argv[i])==0) N = atoi(argv[++i]); } if (N>0) size[0] = size[9] = N; else exit(1); if (N==180) { printf("Special case for N = %d\n",N); special180 = 1; } } else { printf("\nUsage: \n"); printf(" testing_spotrf -N %d\n\n", 1024); } /* Allocate host memory for the matrix */ n2 = size[9] * size[9]; TESTING_MALLOC( h_A, float, n2); TESTING_HOSTALLOC( h_R, float, n2); printf("memory size allocated %d\n",n2); printf("\n\n"); printf(" N CPU GFlop/s GPU GFlop/s ||R||_F / ||A||_F\n"); printf("========================================================\n"); for(i=0; i<10; i++){ N = size[i]; lda = N; n2 = lda*N; flops = FLOPS( (float)N ) / 1000000; /* ==================================================================== Initialize the matrix =================================================================== */ if (special180) { printf("About to read matrix for special case N = %d.\n",N); fp = fopen ("matrix180.dat", "r") ; if( fp == NULL ){ printf("Couldn't open input file\n"); exit(1);} else { magma_int_t i, j; printf("Input file opened.\n"); printf("No of items to be read is %d\n",n2); for (i=0; i<n2; i++) { j = fscanf(fp,"%f",work); if (j != 1) { printf("%d %d\n",i,j); break; } h_A[i]=work[0]; } printf("%d %f\n",n2,h_A[n2-1]); fclose( fp ) ; printf("Input file closed.\n"); } } else { lapackf77_slarnv( &ione, ISEED, &n2, h_A ); /* Symmetrize and increase the diagonal */ { magma_int_t i, j; for(i=0; i<N; i++) { MAGMA_S_SET2REAL( h_A[i*lda+i], ( MAGMA_S_GET_X(h_A[i*lda+i]) + 1.*N ) ); for(j=0; j<i; j++) h_A[i*lda+j] = (h_A[j*lda+i]); } } } lapackf77_slacpy( MagmaUpperLowerStr, &N, &N, h_A, &lda, h_R, &lda ); /* ==================================================================== Performs operation using MAGMA =================================================================== */ magma_spotrf(uplo[0], N, h_R, lda, &info); lapackf77_slacpy( MagmaUpperLowerStr, &N, &N, h_A, &lda, h_R, &lda ); start = get_current_time(); magma_spotrf(uplo[0], N, h_R, lda, &info); end = get_current_time(); if (info < 0) printf("Argument %d of magma_spotrf had an illegal value.\n", -info); gpu_perf = flops / GetTimerValue(start, end); /* ===================================================================== Performs operation using LAPACK =================================================================== */ start = get_current_time(); lapackf77_spotrf(uplo, &N, h_A, &lda, &info); end = get_current_time(); if (info < 0) printf("Argument %d of lapack_spotrf had an illegal value.\n", -info); cpu_perf = flops / GetTimerValue(start, end); /* ===================================================================== Check the result compared to LAPACK =================================================================== */ matnorm = lapackf77_slange("f", &N, &N, h_A, &N, work); blasf77_saxpy(&n2, &mzone, h_A, &ione, h_R, &ione); printf("%5d %6.2f %6.2f %e\n", size[i], cpu_perf, gpu_perf, lapackf77_slange("f", &N, &N, h_R, &N, work) / matnorm ); if (argc != 1) break; } /* Memory clean up */ TESTING_FREE( h_A ); TESTING_HOSTFREE( h_R ); TESTING_CUDA_FINALIZE(); }

The results are like this:

Code: Select all: fletcher@fletcher-desktop:~/magma_1.0.0-rc3/testing$ ./testing_spotrf -N 180 device 0: GeForce GTX 460, 1400.0 MHz clock, 2047.2 MB memory Special case for N = 180 memory size allocated 32400 N CPU GFlop/s GPU GFlop/s ||R||_F / ||A||_F ======================================================== About to read matrix for special case N = 180. Input file opened. No of items to be read is 32400 32400 0.500000 Input file closed. 180 12.03 2.74 3.675380e-08

This means that it ran and gave the same answers both on the CPU and GPU. I hope this helps.

John

by **lanbanger** » Thu Feb 24, 2011 5:01 am

Many thanks John, I appreciate your help enormously. I can reproduce your results on my machine, so at least that means it's not a hardware/driver fault or similar.

I will now try the same but with magma 0.2 and report back. I can already feel this is going to be a case of mea culpa though :shock:

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magma_spotrf_gpu problems versus Matlab

magma_spotrf_gpu problems versus Matlab

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Re: magma_spotrf_gpu problems versus Matlab

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