mirror of
https://github.com/Cantera/cantera.git
synced 2025-02-25 18:55:29 -06:00
314 lines
9.6 KiB
Fortran
Executable File
314 lines
9.6 KiB
Fortran
Executable File
SUBROUTINE DGEMM ( TRANSA, TRANSB, M, N, K, ALPHA, A, LDA, B, LDB,
|
|
$ BETA, C, LDC )
|
|
* .. Scalar Arguments ..
|
|
CHARACTER*1 TRANSA, TRANSB
|
|
INTEGER M, N, K, LDA, LDB, LDC
|
|
DOUBLE PRECISION ALPHA, BETA
|
|
* .. Array Arguments ..
|
|
DOUBLE PRECISION A( LDA, * ), B( LDB, * ), C( LDC, * )
|
|
* ..
|
|
*
|
|
* Purpose
|
|
* =======
|
|
*
|
|
* 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',
|
|
*
|
|
* 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.
|
|
*
|
|
* Parameters
|
|
* ==========
|
|
*
|
|
* TRANSA - 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'.
|
|
*
|
|
* TRANSA = 'C' or 'c', op( A ) = A'.
|
|
*
|
|
* Unchanged on exit.
|
|
*
|
|
* TRANSB - 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'.
|
|
*
|
|
* TRANSB = 'C' or 'c', op( B ) = B'.
|
|
*
|
|
* Unchanged on exit.
|
|
*
|
|
* M - 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.
|
|
* Unchanged on exit.
|
|
*
|
|
* N - 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.
|
|
* Unchanged on exit.
|
|
*
|
|
* K - 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.
|
|
* Unchanged on exit.
|
|
*
|
|
* ALPHA - DOUBLE PRECISION.
|
|
* On entry, ALPHA specifies the scalar alpha.
|
|
* Unchanged on exit.
|
|
*
|
|
* A - DOUBLE PRECISION array of 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.
|
|
* Unchanged on exit.
|
|
*
|
|
* LDA - 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 ).
|
|
* Unchanged on exit.
|
|
*
|
|
* B - DOUBLE PRECISION array of 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.
|
|
* Unchanged on exit.
|
|
*
|
|
* LDB - 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 ).
|
|
* Unchanged on exit.
|
|
*
|
|
* BETA - DOUBLE PRECISION.
|
|
* On entry, BETA specifies the scalar beta. When BETA is
|
|
* supplied as zero then C need not be set on input.
|
|
* Unchanged on exit.
|
|
*
|
|
* C - DOUBLE PRECISION array of 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 ).
|
|
*
|
|
* LDC - 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 ).
|
|
* Unchanged on exit.
|
|
*
|
|
*
|
|
* 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.
|
|
*
|
|
*
|
|
* .. External Functions ..
|
|
LOGICAL LSAME
|
|
EXTERNAL LSAME
|
|
* .. External Subroutines ..
|
|
EXTERNAL XERBLA
|
|
* .. Intrinsic Functions ..
|
|
INTRINSIC MAX
|
|
* .. Local Scalars ..
|
|
LOGICAL NOTA, NOTB
|
|
INTEGER I, INFO, J, L, NCOLA, NROWA, NROWB
|
|
DOUBLE PRECISION TEMP
|
|
* .. Parameters ..
|
|
DOUBLE PRECISION ONE , ZERO
|
|
PARAMETER ( ONE = 1.0D+0, ZERO = 0.0D+0 )
|
|
* ..
|
|
* .. Executable Statements ..
|
|
*
|
|
* 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
|
|
IF( B( L, J ).NE.ZERO )THEN
|
|
TEMP = ALPHA*B( L, J )
|
|
DO 70, I = 1, M
|
|
C( I, J ) = C( I, J ) + TEMP*A( I, L )
|
|
70 CONTINUE
|
|
END IF
|
|
80 CONTINUE
|
|
90 CONTINUE
|
|
ELSE
|
|
*
|
|
* Form C := alpha*A'*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' + 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
|
|
IF( B( J, L ).NE.ZERO )THEN
|
|
TEMP = ALPHA*B( J, L )
|
|
DO 150, I = 1, M
|
|
C( I, J ) = C( I, J ) + TEMP*A( I, L )
|
|
150 CONTINUE
|
|
END IF
|
|
160 CONTINUE
|
|
170 CONTINUE
|
|
ELSE
|
|
*
|
|
* Form C := alpha*A'*B' + 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
|