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 ! { dg-do compile } ! { dg-options "-std=legacy" } *> \brief \b CGEMM * * =========== DOCUMENTATION =========== * * Online html documentation available at * http://www.netlib.org/lapack/explore-html/ * * Definition: * =========== * * SUBROUTINE CGEMM(TRANSA,TRANSB,M,N,K,ALPHA,A,LDA,B,LDB,BETA,C,LDC) * * .. Scalar Arguments .. * COMPLEX ALPHA,BETA * INTEGER K,LDA,LDB,LDC,M,N * CHARACTER TRANSA,TRANSB * .. * .. Array Arguments .. * COMPLEX A(LDA,*),B(LDB,*),C(LDC,*) * .. * * *> \par Purpose: * ============= *> *> \verbatim *> *> CGEMM performs one of the matrix-matrix operations *> *> C := alpha*op( A )*op( B ) + beta*C, *> *> where op( X ) is one of *> *> op( X ) = X or op( X ) = X**T or op( X ) = X**H, *> *> alpha and beta are scalars, and A, B and C are matrices, with op( A ) *> an m by k matrix, op( B ) a k by n matrix and C an m by n matrix. *> \endverbatim * * Arguments: * ========== * *> \param[in] TRANSA *> \verbatim *> TRANSA is CHARACTER*1 *> On entry, TRANSA specifies the form of op( A ) to be used in *> the matrix multiplication as follows: *> *> TRANSA = 'N' or 'n', op( A ) = A. *> *> TRANSA = 'T' or 't', op( A ) = A**T. *> *> TRANSA = 'C' or 'c', op( A ) = A**H. *> \endverbatim *> *> \param[in] TRANSB *> \verbatim *> TRANSB is CHARACTER*1 *> On entry, TRANSB specifies the form of op( B ) to be used in *> the matrix multiplication as follows: *> *> TRANSB = 'N' or 'n', op( B ) = B. *> *> TRANSB = 'T' or 't', op( B ) = B**T. *> *> TRANSB = 'C' or 'c', op( B ) = B**H. *> \endverbatim *> *> \param[in] M *> \verbatim *> M is INTEGER *> On entry, M specifies the number of rows of the matrix *> op( A ) and of the matrix C. M must be at least zero. *> \endverbatim *> *> \param[in] N *> \verbatim *> N is INTEGER *> On entry, N specifies the number of columns of the matrix *> op( B ) and the number of columns of the matrix C. N must be *> at least zero. *> \endverbatim *> *> \param[in] K *> \verbatim *> K is INTEGER *> On entry, K specifies the number of columns of the matrix *> op( A ) and the number of rows of the matrix op( B ). K must *> be at least zero. *> \endverbatim *> *> \param[in] ALPHA *> \verbatim *> ALPHA is COMPLEX *> On entry, ALPHA specifies the scalar alpha. *> \endverbatim *> *> \param[in] A *> \verbatim *> A is COMPLEX array, dimension ( LDA, ka ), where ka is *> k when TRANSA = 'N' or 'n', and is m otherwise. *> Before entry with TRANSA = 'N' or 'n', the leading m by k *> part of the array A must contain the matrix A, otherwise *> the leading k by m part of the array A must contain the *> matrix A. *> \endverbatim *> *> \param[in] LDA *> \verbatim *> LDA is INTEGER *> On entry, LDA specifies the first dimension of A as declared *> in the calling (sub) program. When TRANSA = 'N' or 'n' then *> LDA must be at least max( 1, m ), otherwise LDA must be at *> least max( 1, k ). *> \endverbatim *> *> \param[in] B *> \verbatim *> B is COMPLEX array, dimension ( LDB, kb ), where kb is *> n when TRANSB = 'N' or 'n', and is k otherwise. *> Before entry with TRANSB = 'N' or 'n', the leading k by n *> part of the array B must contain the matrix B, otherwise *> the leading n by k part of the array B must contain the *> matrix B. *> \endverbatim *> *> \param[in] LDB *> \verbatim *> LDB is INTEGER *> On entry, LDB specifies the first dimension of B as declared *> in the calling (sub) program. When TRANSB = 'N' or 'n' then *> LDB must be at least max( 1, k ), otherwise LDB must be at *> least max( 1, n ). *> \endverbatim *> *> \param[in] BETA *> \verbatim *> BETA is COMPLEX *> On entry, BETA specifies the scalar beta. When BETA is *> supplied as zero then C need not be set on input. *> \endverbatim *> *> \param[in,out] C *> \verbatim *> C is COMPLEX array, dimension ( LDC, N ) *> Before entry, the leading m by n part of the array C must *> contain the matrix C, except when beta is zero, in which *> case C need not be set on entry. *> On exit, the array C is overwritten by the m by n matrix *> ( alpha*op( A )*op( B ) + beta*C ). *> \endverbatim *> *> \param[in] LDC *> \verbatim *> LDC is INTEGER *> On entry, LDC specifies the first dimension of C as declared *> in the calling (sub) program. LDC must be at least *> max( 1, m ). *> \endverbatim * * Authors: * ======== * *> \author Univ. of Tennessee *> \author Univ. of California Berkeley *> \author Univ. of Colorado Denver *> \author NAG Ltd. * *> \date December 2016 * *> \ingroup complex_blas_level3 * *> \par Further Details: * ===================== *> *> \verbatim *> *> Level 3 Blas routine. *> *> -- Written on 8-February-1989. *> Jack Dongarra, Argonne National Laboratory. *> Iain Duff, AERE Harwell. *> Jeremy Du Croz, Numerical Algorithms Group Ltd. *> Sven Hammarling, Numerical Algorithms Group Ltd. *> \endverbatim *> * ===================================================================== SUBROUTINE CGEMM(TRANSA,TRANSB,M,N,K,ALPHA,A,LDA,B,LDB,BETA,C,LDC) * * -- Reference BLAS level3 routine (version 3.7.0) -- * -- Reference BLAS is a software package provided by Univ. of Tennessee, -- * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- * December 2016 * * .. Scalar Arguments .. COMPLEX ALPHA,BETA INTEGER K,LDA,LDB,LDC,M,N CHARACTER TRANSA,TRANSB * .. * .. Array Arguments .. COMPLEX A(LDA,*),B(LDB,*),C(LDC,*) * .. * * ===================================================================== * * .. External Functions .. LOGICAL LSAME EXTERNAL LSAME * .. * .. External Subroutines .. EXTERNAL XERBLA * .. * .. Intrinsic Functions .. INTRINSIC CONJG,MAX * .. * .. Local Scalars .. COMPLEX TEMP INTEGER I,INFO,J,L,NCOLA,NROWA,NROWB LOGICAL CONJA,CONJB,NOTA,NOTB * .. * .. Parameters .. COMPLEX ONE PARAMETER (ONE= (1.0E+0,0.0E+0)) COMPLEX ZERO PARAMETER (ZERO= (0.0E+0,0.0E+0)) * .. * * Set NOTA and NOTB as true if A and B respectively are not * conjugated or transposed, set CONJA and CONJB as true if A and * B respectively are to be transposed but not conjugated and set * NROWA, NCOLA and NROWB as the number of rows and columns of A * and the number of rows of B respectively. * NOTA = LSAME(TRANSA,'N') NOTB = LSAME(TRANSB,'N') CONJA = LSAME(TRANSA,'C') CONJB = LSAME(TRANSB,'C') IF (NOTA) THEN NROWA = M NCOLA = K ELSE NROWA = K NCOLA = M END IF IF (NOTB) THEN NROWB = K ELSE NROWB = N END IF * * Test the input parameters. * INFO = 0 IF ((.NOT.NOTA) .AND. (.NOT.CONJA) .AND. + (.NOT.LSAME(TRANSA,'T'))) THEN INFO = 1 ELSE IF ((.NOT.NOTB) .AND. (.NOT.CONJB) .AND. + (.NOT.LSAME(TRANSB,'T'))) THEN INFO = 2 ELSE IF (M.LT.0) THEN INFO = 3 ELSE IF (N.LT.0) THEN INFO = 4 ELSE IF (K.LT.0) THEN INFO = 5 ELSE IF (LDA.LT.MAX(1,NROWA)) THEN INFO = 8 ELSE IF (LDB.LT.MAX(1,NROWB)) THEN INFO = 10 ELSE IF (LDC.LT.MAX(1,M)) THEN INFO = 13 END IF IF (INFO.NE.0) THEN CALL XERBLA('CGEMM ',INFO) RETURN END IF * * Quick return if possible. * IF ((M.EQ.0) .OR. (N.EQ.0) .OR. + (((ALPHA.EQ.ZERO).OR. (K.EQ.0)).AND. (BETA.EQ.ONE))) RETURN * * And when alpha.eq.zero. * IF (ALPHA.EQ.ZERO) THEN IF (BETA.EQ.ZERO) THEN DO 20 J = 1,N DO 10 I = 1,M C(I,J) = ZERO 10 CONTINUE 20 CONTINUE ELSE DO 40 J = 1,N DO 30 I = 1,M C(I,J) = BETA*C(I,J) 30 CONTINUE 40 CONTINUE END IF RETURN END IF * * Start the operations. * IF (NOTB) THEN IF (NOTA) THEN * * Form C := alpha*A*B + beta*C. * DO 90 J = 1,N IF (BETA.EQ.ZERO) THEN DO 50 I = 1,M C(I,J) = ZERO 50 CONTINUE ELSE IF (BETA.NE.ONE) THEN DO 60 I = 1,M C(I,J) = BETA*C(I,J) 60 CONTINUE END IF DO 80 L = 1,K TEMP = ALPHA*B(L,J) DO 70 I = 1,M C(I,J) = C(I,J) + TEMP*A(I,L) 70 CONTINUE 80 CONTINUE 90 CONTINUE ELSE IF (CONJA) THEN * * Form C := alpha*A**H*B + beta*C. * DO 120 J = 1,N DO 110 I = 1,M TEMP = ZERO DO 100 L = 1,K TEMP = TEMP + CONJG(A(L,I))*B(L,J) 100 CONTINUE IF (BETA.EQ.ZERO) THEN C(I,J) = ALPHA*TEMP ELSE C(I,J) = ALPHA*TEMP + BETA*C(I,J) END IF 110 CONTINUE 120 CONTINUE ELSE * * Form C := alpha*A**T*B + beta*C * DO 150 J = 1,N DO 140 I = 1,M TEMP = ZERO DO 130 L = 1,K TEMP = TEMP + A(L,I)*B(L,J) 130 CONTINUE IF (BETA.EQ.ZERO) THEN C(I,J) = ALPHA*TEMP ELSE C(I,J) = ALPHA*TEMP + BETA*C(I,J) END IF 140 CONTINUE 150 CONTINUE END IF ELSE IF (NOTA) THEN IF (CONJB) THEN * * Form C := alpha*A*B**H + beta*C. * DO 200 J = 1,N IF (BETA.EQ.ZERO) THEN DO 160 I = 1,M C(I,J) = ZERO 160 CONTINUE ELSE IF (BETA.NE.ONE) THEN DO 170 I = 1,M C(I,J) = BETA*C(I,J) 170 CONTINUE END IF DO 190 L = 1,K TEMP = ALPHA*CONJG(B(J,L)) DO 180 I = 1,M C(I,J) = C(I,J) + TEMP*A(I,L) 180 CONTINUE 190 CONTINUE 200 CONTINUE ELSE * * Form C := alpha*A*B**T + beta*C * DO 250 J = 1,N IF (BETA.EQ.ZERO) THEN DO 210 I = 1,M C(I,J) = ZERO 210 CONTINUE ELSE IF (BETA.NE.ONE) THEN DO 220 I = 1,M C(I,J) = BETA*C(I,J) 220 CONTINUE END IF DO 240 L = 1,K TEMP = ALPHA*B(J,L) DO 230 I = 1,M C(I,J) = C(I,J) + TEMP*A(I,L) 230 CONTINUE 240 CONTINUE 250 CONTINUE END IF ELSE IF (CONJA) THEN IF (CONJB) THEN * * Form C := alpha*A**H*B**H + beta*C. * DO 280 J = 1,N DO 270 I = 1,M TEMP = ZERO DO 260 L = 1,K TEMP = TEMP + CONJG(A(L,I))*CONJG(B(J,L)) 260 CONTINUE IF (BETA.EQ.ZERO) THEN C(I,J) = ALPHA*TEMP ELSE C(I,J) = ALPHA*TEMP + BETA*C(I,J) END IF 270 CONTINUE 280 CONTINUE ELSE * * Form C := alpha*A**H*B**T + beta*C * DO 310 J = 1,N DO 300 I = 1,M TEMP = ZERO DO 290 L = 1,K TEMP = TEMP + CONJG(A(L,I))*B(J,L) 290 CONTINUE IF (BETA.EQ.ZERO) THEN C(I,J) = ALPHA*TEMP ELSE C(I,J) = ALPHA*TEMP + BETA*C(I,J) END IF 300 CONTINUE 310 CONTINUE END IF ELSE IF (CONJB) THEN * * Form C := alpha*A**T*B**H + beta*C * DO 340 J = 1,N DO 330 I = 1,M TEMP = ZERO DO 320 L = 1,K TEMP = TEMP + A(L,I)*CONJG(B(J,L)) 320 CONTINUE IF (BETA.EQ.ZERO) THEN C(I,J) = ALPHA*TEMP ELSE C(I,J) = ALPHA*TEMP + BETA*C(I,J) END IF 330 CONTINUE 340 CONTINUE ELSE * * Form C := alpha*A**T*B**T + beta*C * DO 370 J = 1,N DO 360 I = 1,M TEMP = ZERO DO 350 L = 1,K TEMP = TEMP + A(L,I)*B(J,L) 350 CONTINUE IF (BETA.EQ.ZERO) THEN C(I,J) = ALPHA*TEMP ELSE C(I,J) = ALPHA*TEMP + BETA*C(I,J) END IF 360 CONTINUE 370 CONTINUE END IF END IF * RETURN * * End of CGEMM . * END *> \brief \b LSAME * * =========== DOCUMENTATION =========== * * Online html documentation available at * http://www.netlib.org/lapack/explore-html/ * * Definition: * =========== * * LOGICAL FUNCTION LSAME(CA,CB) * * .. Scalar Arguments .. * CHARACTER CA,CB * .. * * *> \par Purpose: * ============= *> *> \verbatim *> *> LSAME returns .TRUE. if CA is the same letter as CB regardless of *> case. *> \endverbatim * * Arguments: * ========== * *> \param[in] CA *> \verbatim *> CA is CHARACTER*1 *> \endverbatim *> *> \param[in] CB *> \verbatim *> CB is CHARACTER*1 *> CA and CB specify the single characters to be compared. *> \endverbatim * * Authors: * ======== * *> \author Univ. of Tennessee *> \author Univ. of California Berkeley *> \author Univ. of Colorado Denver *> \author NAG Ltd. * *> \date December 2016 * *> \ingroup aux_blas * * ===================================================================== LOGICAL FUNCTION LSAME(CA,CB) * * -- Reference BLAS level1 routine (version 3.1) -- * -- Reference BLAS is a software package provided by Univ. of Tennessee, -- * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- * December 2016 * * .. Scalar Arguments .. CHARACTER CA,CB * .. * * ===================================================================== * * .. Intrinsic Functions .. INTRINSIC ICHAR * .. * .. Local Scalars .. INTEGER INTA,INTB,ZCODE * .. * * Test if the characters are equal * LSAME = CA .EQ. CB IF (LSAME) RETURN * * Now test for equivalence if both characters are alphabetic. * ZCODE = ICHAR('Z') * * Use 'Z' rather than 'A' so that ASCII can be detected on Prime * machines, on which ICHAR returns a value with bit 8 set. * ICHAR('A') on Prime machines returns 193 which is the same as * ICHAR('A') on an EBCDIC machine. * INTA = ICHAR(CA) INTB = ICHAR(CB) * IF (ZCODE.EQ.90 .OR. ZCODE.EQ.122) THEN * * ASCII is assumed - ZCODE is the ASCII code of either lower or * upper case 'Z'. * IF (INTA.GE.97 .AND. INTA.LE.122) INTA = INTA - 32 IF (INTB.GE.97 .AND. INTB.LE.122) INTB = INTB - 32 * ELSE IF (ZCODE.EQ.233 .OR. ZCODE.EQ.169) THEN * * EBCDIC is assumed - ZCODE is the EBCDIC code of either lower or * upper case 'Z'. * IF (INTA.GE.129 .AND. INTA.LE.137 .OR. + INTA.GE.145 .AND. INTA.LE.153 .OR. + INTA.GE.162 .AND. INTA.LE.169) INTA = INTA + 64 IF (INTB.GE.129 .AND. INTB.LE.137 .OR. + INTB.GE.145 .AND. INTB.LE.153 .OR. + INTB.GE.162 .AND. INTB.LE.169) INTB = INTB + 64 * ELSE IF (ZCODE.EQ.218 .OR. ZCODE.EQ.250) THEN * * ASCII is assumed, on Prime machines - ZCODE is the ASCII code * plus 128 of either lower or upper case 'Z'. * IF (INTA.GE.225 .AND. INTA.LE.250) INTA = INTA - 32 IF (INTB.GE.225 .AND. INTB.LE.250) INTB = INTB - 32 END IF LSAME = INTA .EQ. INTB * * RETURN * * End of LSAME * END *> \brief \b XERBLA * * =========== DOCUMENTATION =========== * * Online html documentation available at * http://www.netlib.org/lapack/explore-html/ * * Definition: * =========== * * SUBROUTINE XERBLA( SRNAME, INFO ) * * .. Scalar Arguments .. * CHARACTER*(*) SRNAME * INTEGER INFO * .. * * *> \par Purpose: * ============= *> *> \verbatim *> *> XERBLA is an error handler for the LAPACK routines. *> It is called by an LAPACK routine if an input parameter has an *> invalid value. A message is printed and execution stops. *> *> Installers may consider modifying the STOP statement in order to *> call system-specific exception-handling facilities. *> \endverbatim * * Arguments: * ========== * *> \param[in] SRNAME *> \verbatim *> SRNAME is CHARACTER*(*) *> The name of the routine which called XERBLA. *> \endverbatim *> *> \param[in] INFO *> \verbatim *> INFO is INTEGER *> The position of the invalid parameter in the parameter list *> of the calling routine. *> \endverbatim * * Authors: * ======== * *> \author Univ. of Tennessee *> \author Univ. of California Berkeley *> \author Univ. of Colorado Denver *> \author NAG Ltd. * *> \date December 2016 * *> \ingroup aux_blas * * ===================================================================== SUBROUTINE XERBLA( SRNAME, INFO ) * * -- Reference BLAS level1 routine (version 3.7.0) -- * -- Reference BLAS is a software package provided by Univ. of Tennessee, -- * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- * December 2016 * * .. Scalar Arguments .. CHARACTER*(*) SRNAME INTEGER INFO * .. * * ===================================================================== * * .. Intrinsic Functions .. INTRINSIC LEN_TRIM * .. * .. Executable Statements .. * WRITE( *, FMT = 9999 )SRNAME( 1:LEN_TRIM( SRNAME ) ), INFO * STOP * 9999 FORMAT( ' ** On entry to ', A, ' parameter number ', I2, ' had ', \$ 'an illegal value' ) * * End of XERBLA * END *> \brief \b SGEMM * * =========== DOCUMENTATION =========== * * Online html documentation available at * http://www.netlib.org/lapack/explore-html/ * * Definition: * =========== * * SUBROUTINE SGEMM(TRANSA,TRANSB,M,N,K,ALPHA,A,LDA,B,LDB,BETA,C,LDC) * * .. Scalar Arguments .. * REAL ALPHA,BETA * INTEGER K,LDA,LDB,LDC,M,N * CHARACTER TRANSA,TRANSB * .. * .. Array Arguments .. * REAL A(LDA,*),B(LDB,*),C(LDC,*) * .. * * *> \par Purpose: * ============= *> *> \verbatim *> *> SGEMM performs one of the matrix-matrix operations *> *> C := alpha*op( A )*op( B ) + beta*C, *> *> where op( X ) is one of *> *> op( X ) = X or op( X ) = X**T, *> *> alpha and beta are scalars, and A, B and C are matrices, with op( A ) *> an m by k matrix, op( B ) a k by n matrix and C an m by n matrix. *> \endverbatim * * Arguments: * ========== * *> \param[in] TRANSA *> \verbatim *> TRANSA is CHARACTER*1 *> On entry, TRANSA specifies the form of op( A ) to be used in *> the matrix multiplication as follows: *> *> TRANSA = 'N' or 'n', op( A ) = A. *> *> TRANSA = 'T' or 't', op( A ) = A**T. *> *> TRANSA = 'C' or 'c', op( A ) = A**T. *> \endverbatim *> *> \param[in] TRANSB *> \verbatim *> TRANSB is CHARACTER*1 *> On entry, TRANSB specifies the form of op( B ) to be used in *> the matrix multiplication as follows: *> *> TRANSB = 'N' or 'n', op( B ) = B. *> *> TRANSB = 'T' or 't', op( B ) = B**T. *> *> TRANSB = 'C' or 'c', op( B ) = B**T. *> \endverbatim *> *> \param[in] M *> \verbatim *> M is INTEGER *> On entry, M specifies the number of rows of the matrix *> op( A ) and of the matrix C. M must be at least zero. *> \endverbatim *> *> \param[in] N *> \verbatim *> N is INTEGER *> On entry, N specifies the number of columns of the matrix *> op( B ) and the number of columns of the matrix C. N must be *> at least zero. *> \endverbatim *> *> \param[in] K *> \verbatim *> K is INTEGER *> On entry, K specifies the number of columns of the matrix *> op( A ) and the number of rows of the matrix op( B ). K must *> be at least zero. *> \endverbatim *> *> \param[in] ALPHA *> \verbatim *> ALPHA is REAL *> On entry, ALPHA specifies the scalar alpha. *> \endverbatim *> *> \param[in] A *> \verbatim *> A is REAL array, dimension ( LDA, ka ), where ka is *> k when TRANSA = 'N' or 'n', and is m otherwise. *> Before entry with TRANSA = 'N' or 'n', the leading m by k *> part of the array A must contain the matrix A, otherwise *> the leading k by m part of the array A must contain the *> matrix A. *> \endverbatim *> *> \param[in] LDA *> \verbatim *> LDA is INTEGER *> On entry, LDA specifies the first dimension of A as declared *> in the calling (sub) program. When TRANSA = 'N' or 'n' then *> LDA must be at least max( 1, m ), otherwise LDA must be at *> least max( 1, k ). *> \endverbatim *> *> \param[in] B *> \verbatim *> B is REAL array, dimension ( LDB, kb ), where kb is *> n when TRANSB = 'N' or 'n', and is k otherwise. *> Before entry with TRANSB = 'N' or 'n', the leading k by n *> part of the array B must contain the matrix B, otherwise *> the leading n by k part of the array B must contain the *> matrix B. *> \endverbatim *> *> \param[in] LDB *> \verbatim *> LDB is INTEGER *> On entry, LDB specifies the first dimension of B as declared *> in the calling (sub) program. When TRANSB = 'N' or 'n' then *> LDB must be at least max( 1, k ), otherwise LDB must be at *> least max( 1, n ). *> \endverbatim *> *> \param[in] BETA *> \verbatim *> BETA is REAL *> On entry, BETA specifies the scalar beta. When BETA is *> supplied as zero then C need not be set on input. *> \endverbatim *> *> \param[in,out] C *> \verbatim *> C is REAL array, dimension ( LDC, N ) *> Before entry, the leading m by n part of the array C must *> contain the matrix C, except when beta is zero, in which *> case C need not be set on entry. *> On exit, the array C is overwritten by the m by n matrix *> ( alpha*op( A )*op( B ) + beta*C ). *> \endverbatim *> *> \param[in] LDC *> \verbatim *> LDC is INTEGER *> On entry, LDC specifies the first dimension of C as declared *> in the calling (sub) program. LDC must be at least *> max( 1, m ). *> \endverbatim * * Authors: * ======== * *> \author Univ. of Tennessee *> \author Univ. of California Berkeley *> \author Univ. of Colorado Denver *> \author NAG Ltd. * *> \date December 2016 * *> \ingroup single_blas_level3 * *> \par Further Details: * ===================== *> *> \verbatim *> *> Level 3 Blas routine. *> *> -- Written on 8-February-1989. *> Jack Dongarra, Argonne National Laboratory. *> Iain Duff, AERE Harwell. *> Jeremy Du Croz, Numerical Algorithms Group Ltd. *> Sven Hammarling, Numerical Algorithms Group Ltd. *> \endverbatim *> * ===================================================================== SUBROUTINE SGEMM(TRANSA,TRANSB,M,N,K,ALPHA,A,LDA,B,LDB,BETA,C,LDC) * * -- Reference BLAS level3 routine (version 3.7.0) -- * -- Reference BLAS is a software package provided by Univ. of Tennessee, -- * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- * December 2016 * * .. Scalar Arguments .. REAL ALPHA,BETA INTEGER K,LDA,LDB,LDC,M,N CHARACTER TRANSA,TRANSB * .. * .. Array Arguments .. REAL A(LDA,*),B(LDB,*),C(LDC,*) * .. * * ===================================================================== * * .. External Functions .. LOGICAL LSAME EXTERNAL LSAME * .. * .. External Subroutines .. EXTERNAL XERBLA * .. * .. Intrinsic Functions .. INTRINSIC MAX * .. * .. Local Scalars .. REAL TEMP INTEGER I,INFO,J,L,NCOLA,NROWA,NROWB LOGICAL NOTA,NOTB * .. * .. Parameters .. REAL ONE,ZERO PARAMETER (ONE=1.0E+0,ZERO=0.0E+0) * .. * * Set NOTA and NOTB as true if A and B respectively are not * transposed and set NROWA, NCOLA and NROWB as the number of rows * and columns of A and the number of rows of B respectively. * NOTA = LSAME(TRANSA,'N') NOTB = LSAME(TRANSB,'N') IF (NOTA) THEN NROWA = M NCOLA = K ELSE NROWA = K NCOLA = M END IF IF (NOTB) THEN NROWB = K ELSE NROWB = N END IF * * Test the input parameters. * INFO = 0 IF ((.NOT.NOTA) .AND. (.NOT.LSAME(TRANSA,'C')) .AND. + (.NOT.LSAME(TRANSA,'T'))) THEN INFO = 1 ELSE IF ((.NOT.NOTB) .AND. (.NOT.LSAME(TRANSB,'C')) .AND. + (.NOT.LSAME(TRANSB,'T'))) THEN INFO = 2 ELSE IF (M.LT.0) THEN INFO = 3 ELSE IF (N.LT.0) THEN INFO = 4 ELSE IF (K.LT.0) THEN INFO = 5 ELSE IF (LDA.LT.MAX(1,NROWA)) THEN INFO = 8 ELSE IF (LDB.LT.MAX(1,NROWB)) THEN INFO = 10 ELSE IF (LDC.LT.MAX(1,M)) THEN INFO = 13 END IF IF (INFO.NE.0) THEN CALL XERBLA('SGEMM ',INFO) RETURN END IF * * Quick return if possible. * IF ((M.EQ.0) .OR. (N.EQ.0) .OR. + (((ALPHA.EQ.ZERO).OR. (K.EQ.0)).AND. (BETA.EQ.ONE))) RETURN * * And if alpha.eq.zero. * IF (ALPHA.EQ.ZERO) THEN IF (BETA.EQ.ZERO) THEN DO 20 J = 1,N DO 10 I = 1,M C(I,J) = ZERO 10 CONTINUE 20 CONTINUE ELSE DO 40 J = 1,N DO 30 I = 1,M C(I,J) = BETA*C(I,J) 30 CONTINUE 40 CONTINUE END IF RETURN END IF * * Start the operations. * IF (NOTB) THEN IF (NOTA) THEN * * Form C := alpha*A*B + beta*C. * DO 90 J = 1,N IF (BETA.EQ.ZERO) THEN DO 50 I = 1,M C(I,J) = ZERO 50 CONTINUE ELSE IF (BETA.NE.ONE) THEN DO 60 I = 1,M C(I,J) = BETA*C(I,J) 60 CONTINUE END IF DO 80 L = 1,K TEMP = ALPHA*B(L,J) DO 70 I = 1,M C(I,J) = C(I,J) + TEMP*A(I,L) 70 CONTINUE 80 CONTINUE 90 CONTINUE ELSE * * Form C := alpha*A**T*B + beta*C * DO 120 J = 1,N DO 110 I = 1,M TEMP = ZERO DO 100 L = 1,K TEMP = TEMP + A(L,I)*B(L,J) 100 CONTINUE IF (BETA.EQ.ZERO) THEN C(I,J) = ALPHA*TEMP ELSE C(I,J) = ALPHA*TEMP + BETA*C(I,J) END IF 110 CONTINUE 120 CONTINUE END IF ELSE IF (NOTA) THEN * * Form C := alpha*A*B**T + beta*C * DO 170 J = 1,N IF (BETA.EQ.ZERO) THEN DO 130 I = 1,M C(I,J) = ZERO 130 CONTINUE ELSE IF (BETA.NE.ONE) THEN DO 140 I = 1,M C(I,J) = BETA*C(I,J) 140 CONTINUE END IF DO 160 L = 1,K TEMP = ALPHA*B(J,L) DO 150 I = 1,M C(I,J) = C(I,J) + TEMP*A(I,L) 150 CONTINUE 160 CONTINUE 170 CONTINUE ELSE * * Form C := alpha*A**T*B**T + beta*C * DO 200 J = 1,N DO 190 I = 1,M TEMP = ZERO DO 180 L = 1,K TEMP = TEMP + A(L,I)*B(J,L) 180 CONTINUE IF (BETA.EQ.ZERO) THEN C(I,J) = ALPHA*TEMP ELSE C(I,J) = ALPHA*TEMP + BETA*C(I,J) END IF 190 CONTINUE 200 CONTINUE END IF END IF * RETURN * * End of SGEMM . * END *> \brief \b DGEMM * * =========== DOCUMENTATION =========== * * Online html documentation available at * http://www.netlib.org/lapack/explore-html/ * * Definition: * =========== * * SUBROUTINE DGEMM(TRANSA,TRANSB,M,N,K,ALPHA,A,LDA,B,LDB,BETA,C,LDC) * * .. Scalar Arguments .. * DOUBLE PRECISION ALPHA,BETA * INTEGER K,LDA,LDB,LDC,M,N * CHARACTER TRANSA,TRANSB * .. * .. Array Arguments .. * DOUBLE PRECISION A(LDA,*),B(LDB,*),C(LDC,*) * .. * * *> \par Purpose: * ============= *> *> \verbatim *> *> DGEMM performs one of the matrix-matrix operations *> *> C := alpha*op( A )*op( B ) + beta*C, *> *> where op( X ) is one of *> *> op( X ) = X or op( X ) = X**T, *> *> alpha and beta are scalars, and A, B and C are matrices, with op( A ) *> an m by k matrix, op( B ) a k by n matrix and C an m by n matrix. *> \endverbatim * * Arguments: * ========== * *> \param[in] TRANSA *> \verbatim *> TRANSA is CHARACTER*1 *> On entry, TRANSA specifies the form of op( A ) to be used in *> the matrix multiplication as follows: *> *> TRANSA = 'N' or 'n', op( A ) = A. *> *> TRANSA = 'T' or 't', op( A ) = A**T. *> *> TRANSA = 'C' or 'c', op( A ) = A**T. *> \endverbatim *> *> \param[in] TRANSB *> \verbatim *> TRANSB is CHARACTER*1 *> On entry, TRANSB specifies the form of op( B ) to be used in *> the matrix multiplication as follows: *> *> TRANSB = 'N' or 'n', op( B ) = B. *> *> TRANSB = 'T' or 't', op( B ) = B**T. *> *> TRANSB = 'C' or 'c', op( B ) = B**T. *> \endverbatim *> *> \param[in] M *> \verbatim *> M is INTEGER *> On entry, M specifies the number of rows of the matrix *> op( A ) and of the matrix C. M must be at least zero. *> \endverbatim *> *> \param[in] N *> \verbatim *> N is INTEGER *> On entry, N specifies the number of columns of the matrix *> op( B ) and the number of columns of the matrix C. N must be *> at least zero. *> \endverbatim *> *> \param[in] K *> \verbatim *> K is INTEGER *> On entry, K specifies the number of columns of the matrix *> op( A ) and the number of rows of the matrix op( B ). K must *> be at least zero. *> \endverbatim *> *> \param[in] ALPHA *> \verbatim *> ALPHA is DOUBLE PRECISION. *> On entry, ALPHA specifies the scalar alpha. *> \endverbatim *> *> \param[in] A *> \verbatim *> A is DOUBLE PRECISION array, dimension ( LDA, ka ), where ka is *> k when TRANSA = 'N' or 'n', and is m otherwise. *> Before entry with TRANSA = 'N' or 'n', the leading m by k *> part of the array A must contain the matrix A, otherwise *> the leading k by m part of the array A must contain the *> matrix A. *> \endverbatim *> *> \param[in] LDA *> \verbatim *> LDA is INTEGER *> On entry, LDA specifies the first dimension of A as declared *> in the calling (sub) program. When TRANSA = 'N' or 'n' then *> LDA must be at least max( 1, m ), otherwise LDA must be at *> least max( 1, k ). *> \endverbatim *> *> \param[in] B *> \verbatim *> B is DOUBLE PRECISION array, dimension ( LDB, kb ), where kb is *> n when TRANSB = 'N' or 'n', and is k otherwise. *> Before entry with TRANSB = 'N' or 'n', the leading k by n *> part of the array B must contain the matrix B, otherwise *> the leading n by k part of the array B must contain the *> matrix B. *> \endverbatim *> *> \param[in] LDB *> \verbatim *> LDB is INTEGER *> On entry, LDB specifies the first dimension of B as declared *> in the calling (sub) program. When TRANSB = 'N' or 'n' then *> LDB must be at least max( 1, k ), otherwise LDB must be at *> least max( 1, n ). *> \endverbatim *> *> \param[in] BETA *> \verbatim *> BETA is DOUBLE PRECISION. *> On entry, BETA specifies the scalar beta. When BETA is *> supplied as zero then C need not be set on input. *> \endverbatim *> *> \param[in,out] C *> \verbatim *> C is DOUBLE PRECISION array, dimension ( LDC, N ) *> Before entry, the leading m by n part of the array C must *> contain the matrix C, except when beta is zero, in which *> case C need not be set on entry. *> On exit, the array C is overwritten by the m by n matrix *> ( alpha*op( A )*op( B ) + beta*C ). *> \endverbatim *> *> \param[in] LDC *> \verbatim *> LDC is INTEGER *> On entry, LDC specifies the first dimension of C as declared *> in the calling (sub) program. LDC must be at least *> max( 1, m ). *> \endverbatim * * Authors: * ======== * *> \author Univ. of Tennessee *> \author Univ. of California Berkeley *> \author Univ. of Colorado Denver *> \author NAG Ltd. * *> \date December 2016 * *> \ingroup double_blas_level3 * *> \par Further Details: * ===================== *> *> \verbatim *> *> Level 3 Blas routine. *> *> -- Written on 8-February-1989. *> Jack Dongarra, Argonne National Laboratory. *> Iain Duff, AERE Harwell. *> Jeremy Du Croz, Numerical Algorithms Group Ltd. *> Sven Hammarling, Numerical Algorithms Group Ltd. *> \endverbatim *> * ===================================================================== SUBROUTINE DGEMM(TRANSA,TRANSB,M,N,K,ALPHA,A,LDA,B,LDB,BETA,C,LDC) * * -- Reference BLAS level3 routine (version 3.7.0) -- * -- Reference BLAS is a software package provided by Univ. of Tennessee, -- * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- * December 2016 * * .. Scalar Arguments .. DOUBLE PRECISION ALPHA,BETA INTEGER K,LDA,LDB,LDC,M,N CHARACTER TRANSA,TRANSB * .. * .. Array Arguments .. DOUBLE PRECISION A(LDA,*),B(LDB,*),C(LDC,*) * .. * * ===================================================================== * * .. External Functions .. LOGICAL LSAME EXTERNAL LSAME * .. * .. External Subroutines .. EXTERNAL XERBLA * .. * .. Intrinsic Functions .. INTRINSIC MAX * .. * .. Local Scalars .. DOUBLE PRECISION TEMP INTEGER I,INFO,J,L,NCOLA,NROWA,NROWB LOGICAL NOTA,NOTB * .. * .. Parameters .. DOUBLE PRECISION ONE,ZERO PARAMETER (ONE=1.0D+0,ZERO=0.0D+0) * .. * * Set NOTA and NOTB as true if A and B respectively are not * transposed and set NROWA, NCOLA and NROWB as the number of rows * and columns of A and the number of rows of B respectively. * NOTA = LSAME(TRANSA,'N') NOTB = LSAME(TRANSB,'N') IF (NOTA) THEN NROWA = M NCOLA = K ELSE NROWA = K NCOLA = M END IF IF (NOTB) THEN NROWB = K ELSE NROWB = N END IF * * Test the input parameters. * INFO = 0 IF ((.NOT.NOTA) .AND. (.NOT.LSAME(TRANSA,'C')) .AND. + (.NOT.LSAME(TRANSA,'T'))) THEN INFO = 1 ELSE IF ((.NOT.NOTB) .AND. (.NOT.LSAME(TRANSB,'C')) .AND. + (.NOT.LSAME(TRANSB,'T'))) THEN INFO = 2 ELSE IF (M.LT.0) THEN INFO = 3 ELSE IF (N.LT.0) THEN INFO = 4 ELSE IF (K.LT.0) THEN INFO = 5 ELSE IF (LDA.LT.MAX(1,NROWA)) THEN INFO = 8 ELSE IF (LDB.LT.MAX(1,NROWB)) THEN INFO = 10 ELSE IF (LDC.LT.MAX(1,M)) THEN INFO = 13 END IF IF (INFO.NE.0) THEN CALL XERBLA('DGEMM ',INFO) RETURN END IF * * Quick return if possible. * IF ((M.EQ.0) .OR. (N.EQ.0) .OR. + (((ALPHA.EQ.ZERO).OR. (K.EQ.0)).AND. (BETA.EQ.ONE))) RETURN * * And if alpha.eq.zero. * IF (ALPHA.EQ.ZERO) THEN IF (BETA.EQ.ZERO) THEN DO 20 J = 1,N DO 10 I = 1,M C(I,J) = ZERO 10 CONTINUE 20 CONTINUE ELSE DO 40 J = 1,N DO 30 I = 1,M C(I,J) = BETA*C(I,J) 30 CONTINUE 40 CONTINUE END IF RETURN END IF * * Start the operations. * IF (NOTB) THEN IF (NOTA) THEN * * Form C := alpha*A*B + beta*C. * DO 90 J = 1,N IF (BETA.EQ.ZERO) THEN DO 50 I = 1,M C(I,J) = ZERO 50 CONTINUE ELSE IF (BETA.NE.ONE) THEN DO 60 I = 1,M C(I,J) = BETA*C(I,J) 60 CONTINUE END IF DO 80 L = 1,K TEMP = ALPHA*B(L,J) DO 70 I = 1,M C(I,J) = C(I,J) + TEMP*A(I,L) 70 CONTINUE 80 CONTINUE 90 CONTINUE ELSE * * Form C := alpha*A**T*B + beta*C * DO 120 J = 1,N DO 110 I = 1,M TEMP = ZERO DO 100 L = 1,K TEMP = TEMP + A(L,I)*B(L,J) 100 CONTINUE IF (BETA.EQ.ZERO) THEN C(I,J) = ALPHA*TEMP ELSE C(I,J) = ALPHA*TEMP + BETA*C(I,J) END IF 110 CONTINUE 120 CONTINUE END IF ELSE IF (NOTA) THEN * * Form C := alpha*A*B**T + beta*C * DO 170 J = 1,N IF (BETA.EQ.ZERO) THEN DO 130 I = 1,M C(I,J) = ZERO 130 CONTINUE ELSE IF (BETA.NE.ONE) THEN DO 140 I = 1,M C(I,J) = BETA*C(I,J) 140 CONTINUE END IF DO 160 L = 1,K TEMP = ALPHA*B(J,L) DO 150 I = 1,M C(I,J) = C(I,J) + TEMP*A(I,L) 150 CONTINUE 160 CONTINUE 170 CONTINUE ELSE * * Form C := alpha*A**T*B**T + beta*C * DO 200 J = 1,N DO 190 I = 1,M TEMP = ZERO DO 180 L = 1,K TEMP = TEMP + A(L,I)*B(J,L) 180 CONTINUE IF (BETA.EQ.ZERO) THEN C(I,J) = ALPHA*TEMP ELSE C(I,J) = ALPHA*TEMP + BETA*C(I,J) END IF 190 CONTINUE 200 CONTINUE END IF END IF * RETURN * * End of DGEMM . * END *> \brief \b ZGEMM * * =========== DOCUMENTATION =========== * * Online html documentation available at * http://www.netlib.org/lapack/explore-html/ * * Definition: * =========== * * SUBROUTINE ZGEMM(TRANSA,TRANSB,M,N,K,ALPHA,A,LDA,B,LDB,BETA,C,LDC) * * .. Scalar Arguments .. * COMPLEX*16 ALPHA,BETA * INTEGER K,LDA,LDB,LDC,M,N * CHARACTER TRANSA,TRANSB * .. * .. Array Arguments .. * COMPLEX*16 A(LDA,*),B(LDB,*),C(LDC,*) * .. * * *> \par Purpose: * ============= *> *> \verbatim *> *> ZGEMM performs one of the matrix-matrix operations *> *> C := alpha*op( A )*op( B ) + beta*C, *> *> where op( X ) is one of *> *> op( X ) = X or op( X ) = X**T or op( X ) = X**H, *> *> alpha and beta are scalars, and A, B and C are matrices, with op( A ) *> an m by k matrix, op( B ) a k by n matrix and C an m by n matrix. *> \endverbatim * * Arguments: * ========== * *> \param[in] TRANSA *> \verbatim *> TRANSA is CHARACTER*1 *> On entry, TRANSA specifies the form of op( A ) to be used in *> the matrix multiplication as follows: *> *> TRANSA = 'N' or 'n', op( A ) = A. *> *> TRANSA = 'T' or 't', op( A ) = A**T. *> *> TRANSA = 'C' or 'c', op( A ) = A**H. *> \endverbatim *> *> \param[in] TRANSB *> \verbatim *> TRANSB is CHARACTER*1 *> On entry, TRANSB specifies the form of op( B ) to be used in *> the matrix multiplication as follows: *> *> TRANSB = 'N' or 'n', op( B ) = B. *> *> TRANSB = 'T' or 't', op( B ) = B**T. *> *> TRANSB = 'C' or 'c', op( B ) = B**H. *> \endverbatim *> *> \param[in] M *> \verbatim *> M is INTEGER *> On entry, M specifies the number of rows of the matrix *> op( A ) and of the matrix C. M must be at least zero. *> \endverbatim *> *> \param[in] N *> \verbatim *> N is INTEGER *> On entry, N specifies the number of columns of the matrix *> op( B ) and the number of columns of the matrix C. N must be *> at least zero. *> \endverbatim *> *> \param[in] K *> \verbatim *> K is INTEGER *> On entry, K specifies the number of columns of the matrix *> op( A ) and the number of rows of the matrix op( B ). K must *> be at least zero. *> \endverbatim *> *> \param[in] ALPHA *> \verbatim *> ALPHA is COMPLEX*16 *> On entry, ALPHA specifies the scalar alpha. *> \endverbatim *> *> \param[in] A *> \verbatim *> A is COMPLEX*16 array, dimension ( LDA, ka ), where ka is *> k when TRANSA = 'N' or 'n', and is m otherwise. *> Before entry with TRANSA = 'N' or 'n', the leading m by k *> part of the array A must contain the matrix A, otherwise *> the leading k by m part of the array A must contain the *> matrix A. *> \endverbatim *> *> \param[in] LDA *> \verbatim *> LDA is INTEGER *> On entry, LDA specifies the first dimension of A as declared *> in the calling (sub) program. When TRANSA = 'N' or 'n' then *> LDA must be at least max( 1, m ), otherwise LDA must be at *> least max( 1, k ). *> \endverbatim *> *> \param[in] B *> \verbatim *> B is COMPLEX*16 array, dimension ( LDB, kb ), where kb is *> n when TRANSB = 'N' or 'n', and is k otherwise. *> Before entry with TRANSB = 'N' or 'n', the leading k by n *> part of the array B must contain the matrix B, otherwise *> the leading n by k part of the array B must contain the *> matrix B. *> \endverbatim *> *> \param[in] LDB *> \verbatim *> LDB is INTEGER *> On entry, LDB specifies the first dimension of B as declared *> in the calling (sub) program. When TRANSB = 'N' or 'n' then *> LDB must be at least max( 1, k ), otherwise LDB must be at *> least max( 1, n ). *> \endverbatim *> *> \param[in] BETA *> \verbatim *> BETA is COMPLEX*16 *> On entry, BETA specifies the scalar beta. When BETA is *> supplied as zero then C need not be set on input. *> \endverbatim *> *> \param[in,out] C *> \verbatim *> C is COMPLEX*16 array, dimension ( LDC, N ) *> Before entry, the leading m by n part of the array C must *> contain the matrix C, except when beta is zero, in which *> case C need not be set on entry. *> On exit, the array C is overwritten by the m by n matrix *> ( alpha*op( A )*op( B ) + beta*C ). *> \endverbatim *> *> \param[in] LDC *> \verbatim *> LDC is INTEGER *> On entry, LDC specifies the first dimension of C as declared *> in the calling (sub) program. LDC must be at least *> max( 1, m ). *> \endverbatim * * Authors: * ======== * *> \author Univ. of Tennessee *> \author Univ. of California Berkeley *> \author Univ. of Colorado Denver *> \author NAG Ltd. * *> \date December 2016 * *> \ingroup complex16_blas_level3 * *> \par Further Details: * ===================== *> *> \verbatim *> *> Level 3 Blas routine. *> *> -- Written on 8-February-1989. *> Jack Dongarra, Argonne National Laboratory. *> Iain Duff, AERE Harwell. *> Jeremy Du Croz, Numerical Algorithms Group Ltd. *> Sven Hammarling, Numerical Algorithms Group Ltd. *> \endverbatim *> * ===================================================================== SUBROUTINE ZGEMM(TRANSA,TRANSB,M,N,K,ALPHA,A,LDA,B,LDB,BETA,C,LDC) * * -- Reference BLAS level3 routine (version 3.7.0) -- * -- Reference BLAS is a software package provided by Univ. of Tennessee, -- * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- * December 2016 * * .. Scalar Arguments .. COMPLEX*16 ALPHA,BETA INTEGER K,LDA,LDB,LDC,M,N CHARACTER TRANSA,TRANSB * .. * .. Array Arguments .. COMPLEX*16 A(LDA,*),B(LDB,*),C(LDC,*) * .. * * ===================================================================== * * .. External Functions .. LOGICAL LSAME EXTERNAL LSAME * .. * .. External Subroutines .. EXTERNAL XERBLA * .. * .. Intrinsic Functions .. INTRINSIC DCONJG,MAX * .. * .. Local Scalars .. COMPLEX*16 TEMP INTEGER I,INFO,J,L,NCOLA,NROWA,NROWB LOGICAL CONJA,CONJB,NOTA,NOTB * .. * .. Parameters .. COMPLEX*16 ONE PARAMETER (ONE= (1.0D+0,0.0D+0)) COMPLEX*16 ZERO PARAMETER (ZERO= (0.0D+0,0.0D+0)) * .. * * Set NOTA and NOTB as true if A and B respectively are not * conjugated or transposed, set CONJA and CONJB as true if A and * B respectively are to be transposed but not conjugated and set * NROWA, NCOLA and NROWB as the number of rows and columns of A * and the number of rows of B respectively. * NOTA = LSAME(TRANSA,'N') NOTB = LSAME(TRANSB,'N') CONJA = LSAME(TRANSA,'C') CONJB = LSAME(TRANSB,'C') IF (NOTA) THEN NROWA = M NCOLA = K ELSE NROWA = K NCOLA = M END IF IF (NOTB) THEN NROWB = K ELSE NROWB = N END IF * * Test the input parameters. * INFO = 0 IF ((.NOT.NOTA) .AND. (.NOT.CONJA) .AND. + (.NOT.LSAME(TRANSA,'T'))) THEN INFO = 1 ELSE IF ((.NOT.NOTB) .AND. (.NOT.CONJB) .AND. + (.NOT.LSAME(TRANSB,'T'))) THEN INFO = 2 ELSE IF (M.LT.0) THEN INFO = 3 ELSE IF (N.LT.0) THEN INFO = 4 ELSE IF (K.LT.0) THEN INFO = 5 ELSE IF (LDA.LT.MAX(1,NROWA)) THEN INFO = 8 ELSE IF (LDB.LT.MAX(1,NROWB)) THEN INFO = 10 ELSE IF (LDC.LT.MAX(1,M)) THEN INFO = 13 END IF IF (INFO.NE.0) THEN CALL XERBLA('ZGEMM ',INFO) RETURN END IF * * Quick return if possible. * IF ((M.EQ.0) .OR. (N.EQ.0) .OR. + (((ALPHA.EQ.ZERO).OR. (K.EQ.0)).AND. (BETA.EQ.ONE))) RETURN * * And when alpha.eq.zero. * IF (ALPHA.EQ.ZERO) THEN IF (BETA.EQ.ZERO) THEN DO 20 J = 1,N DO 10 I = 1,M C(I,J) = ZERO 10 CONTINUE 20 CONTINUE ELSE DO 40 J = 1,N DO 30 I = 1,M C(I,J) = BETA*C(I,J) 30 CONTINUE 40 CONTINUE END IF RETURN END IF * * Start the operations. * IF (NOTB) THEN IF (NOTA) THEN * * Form C := alpha*A*B + beta*C. * DO 90 J = 1,N IF (BETA.EQ.ZERO) THEN DO 50 I = 1,M C(I,J) = ZERO 50 CONTINUE ELSE IF (BETA.NE.ONE) THEN DO 60 I = 1,M C(I,J) = BETA*C(I,J) 60 CONTINUE END IF DO 80 L = 1,K TEMP = ALPHA*B(L,J) DO 70 I = 1,M C(I,J) = C(I,J) + TEMP*A(I,L) 70 CONTINUE 80 CONTINUE 90 CONTINUE ELSE IF (CONJA) THEN * * Form C := alpha*A**H*B + beta*C. * DO 120 J = 1,N DO 110 I = 1,M TEMP = ZERO DO 100 L = 1,K TEMP = TEMP + DCONJG(A(L,I))*B(L,J) 100 CONTINUE IF (BETA.EQ.ZERO) THEN C(I,J) = ALPHA*TEMP ELSE C(I,J) = ALPHA*TEMP + BETA*C(I,J) END IF 110 CONTINUE 120 CONTINUE ELSE * * Form C := alpha*A**T*B + beta*C * DO 150 J = 1,N DO 140 I = 1,M TEMP = ZERO DO 130 L = 1,K TEMP = TEMP + A(L,I)*B(L,J) 130 CONTINUE IF (BETA.EQ.ZERO) THEN C(I,J) = ALPHA*TEMP ELSE C(I,J) = ALPHA*TEMP + BETA*C(I,J) END IF 140 CONTINUE 150 CONTINUE END IF ELSE IF (NOTA) THEN IF (CONJB) THEN * * Form C := alpha*A*B**H + beta*C. * DO 200 J = 1,N IF (BETA.EQ.ZERO) THEN DO 160 I = 1,M C(I,J) = ZERO 160 CONTINUE ELSE IF (BETA.NE.ONE) THEN DO 170 I = 1,M C(I,J) = BETA*C(I,J) 170 CONTINUE END IF DO 190 L = 1,K TEMP = ALPHA*DCONJG(B(J,L)) DO 180 I = 1,M C(I,J) = C(I,J) + TEMP*A(I,L) 180 CONTINUE 190 CONTINUE 200 CONTINUE ELSE * * Form C := alpha*A*B**T + beta*C * DO 250 J = 1,N IF (BETA.EQ.ZERO) THEN DO 210 I = 1,M C(I,J) = ZERO 210 CONTINUE ELSE IF (BETA.NE.ONE) THEN DO 220 I = 1,M C(I,J) = BETA*C(I,J) 220 CONTINUE END IF DO 240 L = 1,K TEMP = ALPHA*B(J,L) DO 230 I = 1,M C(I,J) = C(I,J) + TEMP*A(I,L) 230 CONTINUE 240 CONTINUE 250 CONTINUE END IF ELSE IF (CONJA) THEN IF (CONJB) THEN * * Form C := alpha*A**H*B**H + beta*C. * DO 280 J = 1,N DO 270 I = 1,M TEMP = ZERO DO 260 L = 1,K TEMP = TEMP + DCONJG(A(L,I))*DCONJG(B(J,L)) 260 CONTINUE IF (BETA.EQ.ZERO) THEN C(I,J) = ALPHA*TEMP ELSE C(I,J) = ALPHA*TEMP + BETA*C(I,J) END IF 270 CONTINUE 280 CONTINUE ELSE * * Form C := alpha*A**H*B**T + beta*C * DO 310 J = 1,N DO 300 I = 1,M TEMP = ZERO DO 290 L = 1,K TEMP = TEMP + DCONJG(A(L,I))*B(J,L) 290 CONTINUE IF (BETA.EQ.ZERO) THEN C(I,J) = ALPHA*TEMP ELSE C(I,J) = ALPHA*TEMP + BETA*C(I,J) END IF 300 CONTINUE 310 CONTINUE END IF ELSE IF (CONJB) THEN * * Form C := alpha*A**T*B**H + beta*C * DO 340 J = 1,N DO 330 I = 1,M TEMP = ZERO DO 320 L = 1,K TEMP = TEMP + A(L,I)*DCONJG(B(J,L)) 320 CONTINUE IF (BETA.EQ.ZERO) THEN C(I,J) = ALPHA*TEMP ELSE C(I,J) = ALPHA*TEMP + BETA*C(I,J) END IF 330 CONTINUE 340 CONTINUE ELSE * * Form C := alpha*A**T*B**T + beta*C * DO 370 J = 1,N DO 360 I = 1,M TEMP = ZERO DO 350 L = 1,K TEMP = TEMP + A(L,I)*B(J,L) 350 CONTINUE IF (BETA.EQ.ZERO) THEN C(I,J) = ALPHA*TEMP ELSE C(I,J) = ALPHA*TEMP + BETA*C(I,J) END IF 360 CONTINUE 370 CONTINUE END IF END IF * RETURN * * End of ZGEMM . * END