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zgemm_dev.f90
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#if defined(__CUDA)
ATTRIBUTES(DEVICE) SUBROUTINE ZGEMM_XG(TRANSA,TRANSB,M,N,K,ALPHA,A,LDA,B,LDB,BETA,C,LDC)
#else
SUBROUTINE ZGEMM_XG(TRANSA,TRANSB,M,N,K,ALPHA,A,LDA,B,LDB,BETA,C,LDC)
#endif
!
#include<lsame_interf.f90>
#include<xerbla_interf.f90>
! -- Reference BLAS level3 routine --
! -- Reference BLAS is a software package provided by Univ. of Tennessee, --
! -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
!
! .. 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_XG
! EXTERNAL LSAME_XG
! ..
! .. External Subroutines ..
! EXTERNAL XERBLA_XG
! ..
! .. Intrinsic Functions ..
INTRINSIC DCONJG,MAX
! ..
! .. Local Scalars ..
COMPLEX*16 TEMP
INTEGER I,INFO,J,L,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 and NROWB as the number of rows of A and B respectively.
!
#if defined(__CUDA)
ATTRIBUTES(VALUE) :: TRANSA,TRANSB,M,N,K,LDA,LDB,LDC
ATTRIBUTES(DEVICE) :: A, B, C,ALPHA,BETA
#endif
NOTA = LSAME_XG(TRANSA,'N')
NOTB = LSAME_XG(TRANSB,'N')
CONJA = LSAME_XG(TRANSA,'C')
CONJB = LSAME_XG(TRANSB,'C')
IF (NOTA) THEN
NROWA = M
ELSE
NROWA = K
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_XG(TRANSA,'T'))) THEN
INFO = 1
ELSE IF ((.NOT.NOTB) .AND. (.NOT.CONJB) .AND. &
(.NOT.LSAME_XG(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_XG('ZGEMM ',INFO)
CALL XERBLA_XG('Z',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_XG
!
END