cauxiliary.h File Reference

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Functions
int	c_check_orthogonality (int M, int N, int LDQ, PLASMA_Complex32_t *Q)
int	c_check_QRfactorization (int M, int N, PLASMA_Complex32_t *A1, PLASMA_Complex32_t *A2, int LDA, PLASMA_Complex32_t *Q)
int	c_check_LLTfactorization (int N, PLASMA_Complex32_t *A1, PLASMA_Complex32_t *A2, int LDA, int uplo)
float	c_check_gemm (PLASMA_enum transA, PLASMA_enum transB, int M, int N, int K, PLASMA_Complex32_t alpha, PLASMA_Complex32_t *A, int LDA, PLASMA_Complex32_t *B, int LDB, PLASMA_Complex32_t beta, PLASMA_Complex32_t *Cplasma, PLASMA_Complex32_t *Cref, int LDC, float *Cinitnorm, float *Cplasmanorm, float *Clapacknorm)
float	c_check_trsm (PLASMA_enum side, PLASMA_enum uplo, PLASMA_enum trans, PLASMA_enum diag, int M, int NRHS, PLASMA_Complex32_t alpha, PLASMA_Complex32_t *A, int LDA, PLASMA_Complex32_t *Bplasma, PLASMA_Complex32_t *Bref, int LDB, float *Binitnorm, float *Bplasmanorm, float *Blapacknorm)
float	c_check_solution (int M, int N, int NRHS, PLASMA_Complex32_t *A1, int LDA, PLASMA_Complex32_t *B1, PLASMA_Complex32_t *B2, int LDB, float *anorm, float *bnorm, float *xnorm)

---

Function Documentation

float c_check_gemm	(	PLASMA_enum	transA,
		PLASMA_enum	transB,
		int	M,
		int	N,
		int	K,
		PLASMA_Complex32_t	alpha,
		PLASMA_Complex32_t *	A,
		int	LDA,
		PLASMA_Complex32_t *	B,
		int	LDB,
		PLASMA_Complex32_t	beta,
		PLASMA_Complex32_t *	Cplasma,
		PLASMA_Complex32_t *	Cref,
		int	LDC,
		float *	Cinitnorm,
		float *	Cplasmanorm,
		float *	Clapacknorm
	)

Definition at line 210 of file cauxiliary.c.

References cblas_caxpy(), cblas_cgemm(), CBLAS_SADDR, CblasColMajor, and max.

{
    PLASMA_Complex32_t beta_const = -1.0;
    float Rnorm;
    float *work = (float *)malloc(max(K,max(M, N))* sizeof(float));

    *Cinitnorm   = LAPACKE_clange_work(LAPACK_COL_MAJOR, 'i', M, N, Cref,    LDC, work);
    *Cplasmanorm = LAPACKE_clange_work(LAPACK_COL_MAJOR, 'i', M, N, Cplasma, LDC, work);

    cblas_cgemm(CblasColMajor, (CBLAS_TRANSPOSE)transA, (CBLAS_TRANSPOSE)transB, M, N, K,
                CBLAS_SADDR(alpha), A, LDA, B, LDB, CBLAS_SADDR(beta), Cref, LDC);

    *Clapacknorm = LAPACKE_clange_work(LAPACK_COL_MAJOR, 'i', M, N, Cref, LDC, work);

    cblas_caxpy(LDC * N, CBLAS_SADDR(beta_const), Cplasma, 1, Cref, 1);

    Rnorm = LAPACKE_clange_work(LAPACK_COL_MAJOR, 'i', M, N, Cref, LDC, work);

    free(work);

    return Rnorm;
}

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int c_check_LLTfactorization	(	int	N,
		PLASMA_Complex32_t *	A1,
		PLASMA_Complex32_t *	A2,
		int	LDA,
		int	uplo
	)

Definition at line 147 of file cauxiliary.c.

References cblas_ctrmm(), CBLAS_SADDR, CblasColMajor, CblasConjTrans, CblasLeft, CblasLower, CblasNonUnit, CblasRight, CblasUpper, and PlasmaUpper.

{
    float Anorm, Rnorm;
    PLASMA_Complex32_t alpha;
    int info_factorization;
    int i,j;
    float eps;

    eps = LAPACKE_slamch_work('e');

    PLASMA_Complex32_t *Residual = (PLASMA_Complex32_t *)malloc(N*N*sizeof(PLASMA_Complex32_t));
    PLASMA_Complex32_t *L1       = (PLASMA_Complex32_t *)malloc(N*N*sizeof(PLASMA_Complex32_t));
    PLASMA_Complex32_t *L2       = (PLASMA_Complex32_t *)malloc(N*N*sizeof(PLASMA_Complex32_t));
    float *work              = (float *)malloc(N*sizeof(float));

    memset((void*)L1, 0, N*N*sizeof(PLASMA_Complex32_t));
    memset((void*)L2, 0, N*N*sizeof(PLASMA_Complex32_t));

    alpha= 1.0;

    LAPACKE_clacpy_work(LAPACK_COL_MAJOR,' ', N, N, A1, LDA, Residual, N);

    /* Dealing with L'L or U'U  */
    if (uplo == PlasmaUpper){
        LAPACKE_clacpy_work(LAPACK_COL_MAJOR,'u', N, N, A2, LDA, L1, N);
        LAPACKE_clacpy_work(LAPACK_COL_MAJOR,'u', N, N, A2, LDA, L2, N);
        cblas_ctrmm(CblasColMajor, CblasLeft, CblasUpper, CblasConjTrans, CblasNonUnit, N, N, CBLAS_SADDR(alpha), L1, N, L2, N);
    }
    else{
        LAPACKE_clacpy_work(LAPACK_COL_MAJOR,'l', N, N, A2, LDA, L1, N);
        LAPACKE_clacpy_work(LAPACK_COL_MAJOR,'l', N, N, A2, LDA, L2, N);
        cblas_ctrmm(CblasColMajor, CblasRight, CblasLower, CblasConjTrans, CblasNonUnit, N, N, CBLAS_SADDR(alpha), L1, N, L2, N);
    }

    /* Compute the Residual || A -L'L|| */
    for (i = 0; i < N; i++)
        for (j = 0; j < N; j++)
           Residual[j*N+i] = L2[j*N+i] - Residual[j*N+i];

    Rnorm = LAPACKE_clange_work(LAPACK_COL_MAJOR, 'i', N, N, Residual, N, work);
    Anorm = LAPACKE_clange_work(LAPACK_COL_MAJOR, 'i', N, N, A1, LDA, work);

    printf("============\n");
    printf("Checking the Cholesky Factorization \n");
    printf("-- ||L'L-A||_oo/(||A||_oo.N.eps) = %e \n",Rnorm/(Anorm*N*eps));

    if ( isnan(Rnorm/(Anorm*N*eps)) || (Rnorm/(Anorm*N*eps) > 10.0) ){
        printf("-- Factorization is suspicious ! \n");
        info_factorization = 1;
    }
    else{
        printf("-- Factorization is CORRECT ! \n");
        info_factorization = 0;
    }

    free(Residual); free(L1); free(L2); free(work);

    return info_factorization;
}

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int c_check_orthogonality	(	int	M,
		int	N,
		int	LDQ,
		PLASMA_Complex32_t *	Q
	)

c Tue Nov 22 14:36:01 2011

Definition at line 20 of file cauxiliary.c.

References cblas_cherk(), CblasColMajor, CblasConjTrans, CblasNoTrans, CblasUpper, and min.

{
    float alpha, beta;
    float normQ;
    int info_ortho;
    int i;
    int minMN = min(M, N);
    float eps;
    float *work = (float *)malloc(minMN*sizeof(float));

    eps = LAPACKE_slamch_work('e');
    alpha = 1.0;
    beta  = -1.0;

    /* Build the idendity matrix USE DLASET?*/
    PLASMA_Complex32_t *Id = (PLASMA_Complex32_t *) malloc(minMN*minMN*sizeof(PLASMA_Complex32_t));
    memset((void*)Id, 0, minMN*minMN*sizeof(PLASMA_Complex32_t));
    for (i = 0; i < minMN; i++)
        Id[i*minMN+i] = (PLASMA_Complex32_t)1.0;

    /* Perform Id - Q'Q */
    if (M >= N)
        cblas_cherk(CblasColMajor, CblasUpper, CblasConjTrans, N, M, alpha, Q, LDQ, beta, Id, N);
    else
        cblas_cherk(CblasColMajor, CblasUpper, CblasNoTrans, M, N, alpha, Q, LDQ, beta, Id, M);

    normQ = LAPACKE_clansy_work(LAPACK_COL_MAJOR, 'i', 'u', minMN, Id, minMN, work);

    printf("============\n");
    printf("Checking the orthogonality of Q \n");
    printf("||Id-Q'*Q||_oo / (N*eps) = %e \n",normQ/(minMN*eps));

    if ( isnan(normQ / (minMN * eps)) || (normQ / (minMN * eps) > 10.0) ) {
        printf("-- Orthogonality is suspicious ! \n");
        info_ortho=1;
    }
    else {
        printf("-- Orthogonality is CORRECT ! \n");
        info_ortho=0;
    }

    free(work); free(Id);

    return info_ortho;
}

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int c_check_QRfactorization	(	int	M,
		int	N,
		PLASMA_Complex32_t *	A1,
		PLASMA_Complex32_t *	A2,
		int	LDA,
		PLASMA_Complex32_t *	Q
	)

Definition at line 70 of file cauxiliary.c.

References cblas_cgemm(), CBLAS_SADDR, CblasColMajor, CblasNoTrans, L, and max.

{
    float Anorm, Rnorm;
    PLASMA_Complex32_t alpha, beta;
    int info_factorization;
    int i,j;
    float eps;

    eps = LAPACKE_slamch_work('e');

    PLASMA_Complex32_t *Ql       = (PLASMA_Complex32_t *)malloc(M*N*sizeof(PLASMA_Complex32_t));
    PLASMA_Complex32_t *Residual = (PLASMA_Complex32_t *)malloc(M*N*sizeof(PLASMA_Complex32_t));
    float *work              = (float *)malloc(max(M,N)*sizeof(float));

    alpha=1.0;
    beta=0.0;

    if (M >= N) {
        /* Extract the R */
        PLASMA_Complex32_t *R = (PLASMA_Complex32_t *)malloc(N*N*sizeof(PLASMA_Complex32_t));
        memset((void*)R, 0, N*N*sizeof(PLASMA_Complex32_t));
        LAPACKE_clacpy_work(LAPACK_COL_MAJOR,'u', M, N, A2, LDA, R, N);

        /* Perform Ql=Q*R */
        memset((void*)Ql, 0, M*N*sizeof(PLASMA_Complex32_t));
        cblas_cgemm(CblasColMajor, CblasNoTrans, CblasNoTrans, M, N, N, CBLAS_SADDR(alpha), Q, LDA, R, N, CBLAS_SADDR(beta), Ql, M);
        free(R);
    }
    else {
        /* Extract the L */
        PLASMA_Complex32_t *L = (PLASMA_Complex32_t *)malloc(M*M*sizeof(PLASMA_Complex32_t));
        memset((void*)L, 0, M*M*sizeof(PLASMA_Complex32_t));
        LAPACKE_clacpy_work(LAPACK_COL_MAJOR,'l', M, N, A2, LDA, L, M);

    /* Perform Ql=LQ */
        memset((void*)Ql, 0, M*N*sizeof(PLASMA_Complex32_t));
        cblas_cgemm(CblasColMajor, CblasNoTrans, CblasNoTrans, M, N, M, CBLAS_SADDR(alpha), L, M, Q, LDA, CBLAS_SADDR(beta), Ql, M);
        free(L);
    }

    /* Compute the Residual */
    for (i = 0; i < M; i++)
        for (j = 0 ; j < N; j++)
            Residual[j*M+i] = A1[j*LDA+i]-Ql[j*M+i];

    Rnorm = LAPACKE_clange_work(LAPACK_COL_MAJOR, 'i', M, N, Residual, M, work);
    Anorm = LAPACKE_clange_work(LAPACK_COL_MAJOR, 'i', M, N, A2, LDA, work);

    if (M >= N) {
        printf("============\n");
        printf("Checking the QR Factorization \n");
        printf("-- ||A-QR||_oo/(||A||_oo.N.eps) = %e \n",Rnorm/(Anorm*N*eps));
    }
    else {
        printf("============\n");
        printf("Checking the LQ Factorization \n");
        printf("-- ||A-LQ||_oo/(||A||_oo.N.eps) = %e \n",Rnorm/(Anorm*N*eps));
    }

    if (isnan(Rnorm / (Anorm * N *eps)) || (Rnorm / (Anorm * N * eps) > 10.0) ) {
        printf("-- Factorization is suspicious ! \n");
        info_factorization = 1;
    }
    else {
        printf("-- Factorization is CORRECT ! \n");
        info_factorization = 0;
    }

    free(work); free(Ql); free(Residual);

    return info_factorization;
}

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float c_check_solution	(	int	M,
		int	N,
		int	NRHS,
		PLASMA_Complex32_t *	A1,
		int	LDA,
		PLASMA_Complex32_t *	B1,
		PLASMA_Complex32_t *	B2,
		int	LDB,
		float *	anorm,
		float *	bnorm,
		float *	xnorm
	)

Definition at line 276 of file cauxiliary.c.

References cblas_cgemm(), CBLAS_SADDR, CblasColMajor, CblasNoTrans, and max.

{
/*     int info_solution; */
    float Rnorm = -1.00;
    PLASMA_Complex32_t zone  =  1.0;
    PLASMA_Complex32_t mzone = -1.0;
    float *work = (float *)malloc(max(M, N)* sizeof(float));

    *anorm = LAPACKE_clange_work(LAPACK_COL_MAJOR, 'i', M, N,    A, LDA, work);
    *xnorm = LAPACKE_clange_work(LAPACK_COL_MAJOR, 'i', M, NRHS, X, LDB, work);
    *bnorm = LAPACKE_clange_work(LAPACK_COL_MAJOR, 'i', N, NRHS, B, LDB, work);

    cblas_cgemm(CblasColMajor, CblasNoTrans, CblasNoTrans, M, NRHS, N, CBLAS_SADDR(zone), A, LDA, X, LDB, CBLAS_SADDR(mzone), B, LDB);

    Rnorm = LAPACKE_clange_work(LAPACK_COL_MAJOR, 'i', N, NRHS, B, M, work);

    free(work);

    return Rnorm;
}

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float c_check_trsm	(	PLASMA_enum	side,
		PLASMA_enum	uplo,
		PLASMA_enum	trans,
		PLASMA_enum	diag,
		int	M,
		int	NRHS,
		PLASMA_Complex32_t	alpha,
		PLASMA_Complex32_t *	A,
		int	LDA,
		PLASMA_Complex32_t *	Bplasma,
		PLASMA_Complex32_t *	Bref,
		int	LDB,
		float *	Binitnorm,
		float *	Bplasmanorm,
		float *	Blapacknorm
	)

Definition at line 241 of file cauxiliary.c.

References cblas_caxpy(), cblas_ctrsm(), CBLAS_SADDR, CblasColMajor, and max.

{
    PLASMA_Complex32_t beta_const = -1.0;
    float Rnorm;
    float *work = (float *)malloc(max(M, NRHS)* sizeof(float));
    /*float eps = LAPACKE_slamch_work('e');*/

    *Binitnorm   = LAPACKE_clange_work(LAPACK_COL_MAJOR, 'i', M, NRHS, Bref,    LDB, work);
    *Bplasmanorm = LAPACKE_clange_work(LAPACK_COL_MAJOR, 'm', M, NRHS, Bplasma, LDB, work);

    cblas_ctrsm(CblasColMajor, (CBLAS_SIDE)side, (CBLAS_UPLO)uplo,
                (CBLAS_TRANSPOSE)trans, (CBLAS_DIAG)diag, M, NRHS,
                CBLAS_SADDR(alpha), A, LDA, Bref, LDB);

    *Blapacknorm = LAPACKE_clange_work(LAPACK_COL_MAJOR, 'm', M, NRHS, Bref, LDB, work);

    cblas_caxpy(LDB * NRHS, CBLAS_SADDR(beta_const), Bplasma, 1, Bref, 1);

    Rnorm = LAPACKE_clange_work(LAPACK_COL_MAJOR, 'm', M, NRHS, Bref, LDB, work);
    Rnorm = Rnorm / *Blapacknorm; 
    /* max(M,NRHS) * eps);*/

    free(work);

    return Rnorm;
}

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