version 1.10, 2012/12/14 14:22:03
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version 1.17, 2023/08/07 08:38:45
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* |
* |
* =========== DOCUMENTATION =========== |
* =========== DOCUMENTATION =========== |
* |
* |
* Online html documentation available at |
* Online html documentation available at |
* http://www.netlib.org/lapack/explore-html/ |
* http://www.netlib.org/lapack/explore-html/ |
* |
* |
* Definition: |
* Definition: |
* =========== |
* =========== |
* |
* |
* SUBROUTINE ZGEMM(TRANSA,TRANSB,M,N,K,ALPHA,A,LDA,B,LDB,BETA,C,LDC) |
* SUBROUTINE ZGEMM(TRANSA,TRANSB,M,N,K,ALPHA,A,LDA,B,LDB,BETA,C,LDC) |
* |
* |
* .. Scalar Arguments .. |
* .. Scalar Arguments .. |
* COMPLEX*16 ALPHA,BETA |
* COMPLEX*16 ALPHA,BETA |
* INTEGER K,LDA,LDB,LDC,M,N |
* INTEGER K,LDA,LDB,LDC,M,N |
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* .. Array Arguments .. |
* .. Array Arguments .. |
* COMPLEX*16 A(LDA,*),B(LDB,*),C(LDC,*) |
* COMPLEX*16 A(LDA,*),B(LDB,*),C(LDC,*) |
* .. |
* .. |
* |
* |
* |
* |
*> \par Purpose: |
*> \par Purpose: |
* ============= |
* ============= |
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*> |
*> |
*> \param[in] A |
*> \param[in] A |
*> \verbatim |
*> \verbatim |
*> A is COMPLEX*16 array of DIMENSION ( LDA, ka ), where ka is |
*> A is COMPLEX*16 array, dimension ( LDA, ka ), where ka is |
*> k when TRANSA = 'N' or 'n', and is m otherwise. |
*> k when TRANSA = 'N' or 'n', and is m otherwise. |
*> Before entry with TRANSA = 'N' or 'n', the leading m by k |
*> Before entry with TRANSA = 'N' or 'n', the leading m by k |
*> part of the array A must contain the matrix A, otherwise |
*> part of the array A must contain the matrix A, otherwise |
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*> |
*> |
*> \param[in] B |
*> \param[in] B |
*> \verbatim |
*> \verbatim |
*> B is COMPLEX*16 array of DIMENSION ( LDB, kb ), where kb is |
*> B is COMPLEX*16 array, dimension ( LDB, kb ), where kb is |
*> n when TRANSB = 'N' or 'n', and is k otherwise. |
*> n when TRANSB = 'N' or 'n', and is k otherwise. |
*> Before entry with TRANSB = 'N' or 'n', the leading k by n |
*> Before entry with TRANSB = 'N' or 'n', the leading k by n |
*> part of the array B must contain the matrix B, otherwise |
*> part of the array B must contain the matrix B, otherwise |
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*> |
*> |
*> \param[in,out] C |
*> \param[in,out] C |
*> \verbatim |
*> \verbatim |
*> C is COMPLEX*16 array of DIMENSION ( LDC, n ). |
*> C is COMPLEX*16 array, dimension ( LDC, N ) |
*> Before entry, the leading m by n part of the array C must |
*> Before entry, the leading m by n part of the array C must |
*> contain the matrix C, except when beta is zero, in which |
*> contain the matrix C, except when beta is zero, in which |
*> case C need not be set on entry. |
*> case C need not be set on entry. |
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* Authors: |
* Authors: |
* ======== |
* ======== |
* |
* |
*> \author Univ. of Tennessee |
*> \author Univ. of Tennessee |
*> \author Univ. of California Berkeley |
*> \author Univ. of California Berkeley |
*> \author Univ. of Colorado Denver |
*> \author Univ. of Colorado Denver |
*> \author NAG Ltd. |
*> \author NAG Ltd. |
* |
|
*> \date November 2011 |
|
* |
* |
*> \ingroup complex16_blas_level3 |
*> \ingroup complex16_blas_level3 |
* |
* |
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* ===================================================================== |
* ===================================================================== |
SUBROUTINE ZGEMM(TRANSA,TRANSB,M,N,K,ALPHA,A,LDA,B,LDB,BETA,C,LDC) |
SUBROUTINE ZGEMM(TRANSA,TRANSB,M,N,K,ALPHA,A,LDA,B,LDB,BETA,C,LDC) |
* |
* |
* -- Reference BLAS level3 routine (version 3.4.0) -- |
* -- Reference BLAS level3 routine -- |
* -- Reference BLAS is a software package provided by Univ. of Tennessee, -- |
* -- Reference BLAS is a software package provided by Univ. of Tennessee, -- |
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- |
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- |
* November 2011 |
|
* |
* |
* .. Scalar Arguments .. |
* .. Scalar Arguments .. |
COMPLEX*16 ALPHA,BETA |
COMPLEX*16 ALPHA,BETA |
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* .. |
* .. |
* .. Local Scalars .. |
* .. Local Scalars .. |
COMPLEX*16 TEMP |
COMPLEX*16 TEMP |
INTEGER I,INFO,J,L,NCOLA,NROWA,NROWB |
INTEGER I,INFO,J,L,NROWA,NROWB |
LOGICAL CONJA,CONJB,NOTA,NOTB |
LOGICAL CONJA,CONJB,NOTA,NOTB |
* .. |
* .. |
* .. Parameters .. |
* .. Parameters .. |
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* Set NOTA and NOTB as true if A and B respectively are not |
* 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 |
* conjugated or transposed, set CONJA and CONJB as true if A and |
* B respectively are to be transposed but not conjugated and set |
* B respectively are to be transposed but not conjugated and set |
* NROWA, NCOLA and NROWB as the number of rows and columns of A |
* NROWA and NROWB as the number of rows of A and B respectively. |
* and the number of rows of B respectively. |
|
* |
* |
NOTA = LSAME(TRANSA,'N') |
NOTA = LSAME(TRANSA,'N') |
NOTB = LSAME(TRANSB,'N') |
NOTB = LSAME(TRANSB,'N') |
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CONJB = LSAME(TRANSB,'C') |
CONJB = LSAME(TRANSB,'C') |
IF (NOTA) THEN |
IF (NOTA) THEN |
NROWA = M |
NROWA = M |
NCOLA = K |
|
ELSE |
ELSE |
NROWA = K |
NROWA = K |
NCOLA = M |
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END IF |
END IF |
IF (NOTB) THEN |
IF (NOTB) THEN |
NROWB = K |
NROWB = K |
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60 CONTINUE |
60 CONTINUE |
END IF |
END IF |
DO 80 L = 1,K |
DO 80 L = 1,K |
IF (B(L,J).NE.ZERO) THEN |
TEMP = ALPHA*B(L,J) |
TEMP = ALPHA*B(L,J) |
DO 70 I = 1,M |
DO 70 I = 1,M |
C(I,J) = C(I,J) + TEMP*A(I,L) |
C(I,J) = C(I,J) + TEMP*A(I,L) |
70 CONTINUE |
70 CONTINUE |
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END IF |
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80 CONTINUE |
80 CONTINUE |
90 CONTINUE |
90 CONTINUE |
ELSE IF (CONJA) THEN |
ELSE IF (CONJA) THEN |
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170 CONTINUE |
170 CONTINUE |
END IF |
END IF |
DO 190 L = 1,K |
DO 190 L = 1,K |
IF (B(J,L).NE.ZERO) THEN |
TEMP = ALPHA*DCONJG(B(J,L)) |
TEMP = ALPHA*DCONJG(B(J,L)) |
DO 180 I = 1,M |
DO 180 I = 1,M |
C(I,J) = C(I,J) + TEMP*A(I,L) |
C(I,J) = C(I,J) + TEMP*A(I,L) |
180 CONTINUE |
180 CONTINUE |
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END IF |
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190 CONTINUE |
190 CONTINUE |
200 CONTINUE |
200 CONTINUE |
ELSE |
ELSE |
* |
* |
* Form C := alpha*A*B**T + beta*C |
* Form C := alpha*A*B**T + beta*C |
* |
* |
DO 250 J = 1,N |
DO 250 J = 1,N |
IF (BETA.EQ.ZERO) THEN |
IF (BETA.EQ.ZERO) THEN |
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220 CONTINUE |
220 CONTINUE |
END IF |
END IF |
DO 240 L = 1,K |
DO 240 L = 1,K |
IF (B(J,L).NE.ZERO) THEN |
TEMP = ALPHA*B(J,L) |
TEMP = ALPHA*B(J,L) |
DO 230 I = 1,M |
DO 230 I = 1,M |
C(I,J) = C(I,J) + TEMP*A(I,L) |
C(I,J) = C(I,J) + TEMP*A(I,L) |
230 CONTINUE |
230 CONTINUE |
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END IF |
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240 CONTINUE |
240 CONTINUE |
250 CONTINUE |
250 CONTINUE |
END IF |
END IF |
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* |
* |
RETURN |
RETURN |
* |
* |
* End of ZGEMM . |
* End of ZGEMM |
* |
* |
END |
END |