magma_spotrf_gpu problems versus Matlab

Open discussion for MAGMA

magma_spotrf_gpu problems versus Matlab

Postby 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
lanbanger
 
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Re: magma_spotrf_gpu problems versus Matlab

Postby 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.
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Re: magma_spotrf_gpu problems versus Matlab

Postby 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.
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Re: magma_spotrf_gpu problems versus Matlab

Postby 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.
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Posts: 9
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Re: magma_spotrf_gpu problems versus Matlab

Postby lanbanger » Wed Feb 23, 2011 5:49 am

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lanbanger
 
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Joined: Wed Feb 16, 2011 8:36 am

Re: magma_spotrf_gpu problems versus Matlab

Postby 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.
lanbanger
 
Posts: 9
Joined: Wed Feb 16, 2011 8:36 am

Re: magma_spotrf_gpu problems versus Matlab

Postby 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
fletchjp
 
Posts: 170
Joined: Mon Dec 27, 2010 7:29 pm

Re: magma_spotrf_gpu problems versus Matlab

Postby 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:
lanbanger
 
Posts: 9
Joined: Wed Feb 16, 2011 8:36 am


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