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OpenBLAS

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zsymmf.f

zsymmf.f 9.67 KB

SUBROUTINE ZSYMMF ( SIDE, UPLO, M, N, ALPHA, A, LDA, B, LDB,
 $ BETA, C, LDC )
* .. Scalar Arguments ..
 CHARACTER*1 SIDE, UPLO
 INTEGER M, N, LDA, LDB, LDC
 COMPLEX*16 ALPHA, BETA
* .. Array Arguments ..
 COMPLEX*16 A( LDA, * ), B( LDB, * ), C( LDC, * )
* ..
*
* Purpose
* =======
*
* ZSYMM performs one of the matrix-matrix operations
*
* C := alpha*A*B + beta*C,
*
* or
*
* C := alpha*B*A + beta*C,
*
* where alpha and beta are scalars, A is a symmetric matrix and B and
* C are m by n matrices.
*
* Parameters
* ==========
*
* SIDE - CHARACTER*1.
* On entry, SIDE specifies whether the symmetric matrix A
* appears on the left or right in the operation as follows:
*
* SIDE = 'L' or 'l' C := alpha*A*B + beta*C,
*
* SIDE = 'R' or 'r' C := alpha*B*A + beta*C,
*
* Unchanged on exit.
*
* UPLO - CHARACTER*1.
* On entry, UPLO specifies whether the upper or lower
* triangular part of the symmetric matrix A is to be
* referenced as follows:
*
* UPLO = 'U' or 'u' Only the upper triangular part of the
* symmetric matrix is to be referenced.
*
* UPLO = 'L' or 'l' Only the lower triangular part of the
* symmetric matrix is to be referenced.
*
* Unchanged on exit.
*
* M - INTEGER.
* On entry, M specifies the number of rows 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 C.
* N must be at least zero.
* Unchanged on exit.
*
* ALPHA - COMPLEX*16 .
* On entry, ALPHA specifies the scalar alpha.
* Unchanged on exit.
*
* A - COMPLEX*16 array of DIMENSION ( LDA, ka ), where ka is
* m when SIDE = 'L' or 'l' and is n otherwise.
* Before entry with SIDE = 'L' or 'l', the m by m part of
* the array A must contain the symmetric matrix, such that
* when UPLO = 'U' or 'u', the leading m by m upper triangular
* part of the array A must contain the upper triangular part
* of the symmetric matrix and the strictly lower triangular
* part of A is not referenced, and when UPLO = 'L' or 'l',
* the leading m by m lower triangular part of the array A
* must contain the lower triangular part of the symmetric
* matrix and the strictly upper triangular part of A is not
* referenced.
* Before entry with SIDE = 'R' or 'r', the n by n part of
* the array A must contain the symmetric matrix, such that
* when UPLO = 'U' or 'u', the leading n by n upper triangular
* part of the array A must contain the upper triangular part
* of the symmetric matrix and the strictly lower triangular
* part of A is not referenced, and when UPLO = 'L' or 'l',
* the leading n by n lower triangular part of the array A
* must contain the lower triangular part of the symmetric
* matrix and the strictly upper triangular part of A is not
* referenced.
* Unchanged on exit.
*
* LDA - INTEGER.
* On entry, LDA specifies the first dimension of A as declared
* in the calling (sub) program. When SIDE = 'L' or 'l' then
* LDA must be at least max( 1, m ), otherwise LDA must be at
* least max( 1, n ).
* Unchanged on exit.
*
* B - COMPLEX*16 array of DIMENSION ( LDB, n ).
* Before entry, the leading m by n 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. LDB must be at least
* max( 1, m ).
* Unchanged on exit.
*
* BETA - COMPLEX*16 .
* 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 - COMPLEX*16 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 updated
* matrix.
*
* 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 UPPER
 INTEGER I, INFO, J, K, NROWA
 COMPLEX*16 TEMP1, TEMP2
* .. Parameters ..
 COMPLEX*16 ONE
 PARAMETER ( ONE = ( 1.0D+0, 0.0D+0 ) )
 COMPLEX*16 ZERO
 PARAMETER ( ZERO = ( 0.0D+0, 0.0D+0 ) )
* ..
* .. Executable Statements ..
*
* Set NROWA as the number of rows of A.
*
 IF( LSAME( SIDE, 'L' ) )THEN
 NROWA = M
 ELSE
 NROWA = N
 END IF
 UPPER = LSAME( UPLO, 'U' )
*
* Test the input parameters.
*
 INFO = 0
 IF( ( .NOT.LSAME( SIDE, 'L' ) ).AND.
 $ ( .NOT.LSAME( SIDE, 'R' ) ) )THEN
 INFO = 1
 ELSE IF( ( .NOT.UPPER ).AND.
 $ ( .NOT.LSAME( UPLO, 'L' ) ) )THEN
 INFO = 2
 ELSE IF( M .LT.0 )THEN
 INFO = 3
 ELSE IF( N .LT.0 )THEN
 INFO = 4
 ELSE IF( LDA.LT.MAX( 1, NROWA ) )THEN
 INFO = 7
 ELSE IF( LDB.LT.MAX( 1, M ) )THEN
 INFO = 9
 ELSE IF( LDC.LT.MAX( 1, M ) )THEN
 INFO = 12
 END IF
 IF( INFO.NE.0 )THEN
 CALL XERBLA( 'ZSYMM ', INFO )
 RETURN
 END IF
*
* Quick return if possible.
*
 IF( ( M.EQ.0 ).OR.( N.EQ.0 ).OR.
 $ ( ( ALPHA.EQ.ZERO ).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( LSAME( SIDE, 'L' ) )THEN
*
* Form C := alpha*A*B + beta*C.
*
 IF( UPPER )THEN
 DO 70, J = 1, N
 DO 60, I = 1, M
 TEMP1 = ALPHA*B( I, J )
 TEMP2 = ZERO
 DO 50, K = 1, I - 1
 C( K, J ) = C( K, J ) + TEMP1 *A( K, I )
 TEMP2 = TEMP2 + B( K, J )*A( K, I )
 50 CONTINUE
 IF( BETA.EQ.ZERO )THEN
 C( I, J ) = TEMP1*A( I, I ) + ALPHA*TEMP2
 ELSE
 C( I, J ) = BETA *C( I, J ) +
 $ TEMP1*A( I, I ) + ALPHA*TEMP2
 END IF
 60 CONTINUE
 70 CONTINUE
 ELSE
 DO 100, J = 1, N
 DO 90, I = M, 1, -1
 TEMP1 = ALPHA*B( I, J )
 TEMP2 = ZERO
 DO 80, K = I + 1, M
 C( K, J ) = C( K, J ) + TEMP1 *A( K, I )
 TEMP2 = TEMP2 + B( K, J )*A( K, I )
 80 CONTINUE
 IF( BETA.EQ.ZERO )THEN
 C( I, J ) = TEMP1*A( I, I ) + ALPHA*TEMP2
 ELSE
 C( I, J ) = BETA *C( I, J ) +
 $ TEMP1*A( I, I ) + ALPHA*TEMP2
 END IF
 90 CONTINUE
 100 CONTINUE
 END IF
 ELSE
*
* Form C := alpha*B*A + beta*C.
*
 DO 170, J = 1, N
 TEMP1 = ALPHA*A( J, J )
 IF( BETA.EQ.ZERO )THEN
 DO 110, I = 1, M
 C( I, J ) = TEMP1*B( I, J )
 110 CONTINUE
 ELSE
 DO 120, I = 1, M
 C( I, J ) = BETA*C( I, J ) + TEMP1*B( I, J )
 120 CONTINUE
 END IF
 DO 140, K = 1, J - 1
 IF( UPPER )THEN
 TEMP1 = ALPHA*A( K, J )
 ELSE
 TEMP1 = ALPHA*A( J, K )
 END IF
 DO 130, I = 1, M
 C( I, J ) = C( I, J ) + TEMP1*B( I, K )
 130 CONTINUE
 140 CONTINUE
 DO 160, K = J + 1, N
 IF( UPPER )THEN
 TEMP1 = ALPHA*A( J, K )
 ELSE
 TEMP1 = ALPHA*A( K, J )
 END IF
 DO 150, I = 1, M
 C( I, J ) = C( I, J ) + TEMP1*B( I, K )
 150 CONTINUE
 160 CONTINUE
 170 CONTINUE
 END IF
*
 RETURN
*
* End of ZSYMM .
*
 END

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Zhang Xianyi 提交于 2011年01月24日 22:54 +08:00 . Import GotoBLAS2 1.13 BSD version codes.

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SUBROUTINEZSYMMF(SIDE,UPLO,M,N,ALPHA,A,LDA,B,LDB,
$BETA,C,LDC)
*..ScalarArguments..
CHARACTER*1SIDE,UPLO
INTEGERM,N,LDA,LDB,LDC
COMPLEX*16ALPHA,BETA
*..ArrayArguments..
COMPLEX*16A(LDA,*),B(LDB,*),C(LDC,*)
*..
*
*Purpose
*=======
*
*ZSYMMperformsoneofthematrix-matrixoperations
*
*C:=alpha*A*B+beta*C,
*
*or
*
*C:=alpha*B*A+beta*C,
*
*wherealphaandbetaarescalars,AisasymmetricmatrixandBand
*Carembynmatrices.
*
*Parameters
*==========
*
*SIDE-CHARACTER*1.
*Onentry,SIDEspecifieswhetherthesymmetricmatrixA
*appearsontheleftorrightintheoperationasfollows:
*
*SIDE='L'or'l'C:=alpha*A*B+beta*C,
*
*SIDE='R'or'r'C:=alpha*B*A+beta*C,
*
*Unchangedonexit.
*
*UPLO-CHARACTER*1.
*Onentry,UPLOspecifieswhethertheupperorlower
*triangularpartofthesymmetricmatrixAistobe
*referencedasfollows:
*
*UPLO='U'or'u'Onlytheuppertriangularpartofthe
*symmetricmatrixistobereferenced.
*
*UPLO='L'or'l'Onlythelowertriangularpartofthe
*symmetricmatrixistobereferenced.
*
*Unchangedonexit.
*
*M-INTEGER.
*Onentry,MspecifiesthenumberofrowsofthematrixC.
*Mmustbeatleastzero.
*Unchangedonexit.
*
*N-INTEGER.
*Onentry,NspecifiesthenumberofcolumnsofthematrixC.
*Nmustbeatleastzero.
*Unchangedonexit.
*
*ALPHA-COMPLEX*16.
*Onentry,ALPHAspecifiesthescalaralpha.
*Unchangedonexit.
*
*A-COMPLEX*16arrayofDIMENSION(LDA,ka),wherekais
*mwhenSIDE='L'or'l'andisnotherwise.
*BeforeentrywithSIDE='L'or'l',thembympartof
*thearrayAmustcontainthesymmetricmatrix,suchthat
*whenUPLO='U'or'u',theleadingmbymuppertriangular
*partofthearrayAmustcontaintheuppertriangularpart
*ofthesymmetricmatrixandthestrictlylowertriangular
*partofAisnotreferenced,andwhenUPLO='L'or'l',
*theleadingmbymlowertriangularpartofthearrayA
*mustcontainthelowertriangularpartofthesymmetric
*matrixandthestrictlyuppertriangularpartofAisnot
*referenced.
*BeforeentrywithSIDE='R'or'r',thenbynpartof
*thearrayAmustcontainthesymmetricmatrix,suchthat
*whenUPLO='U'or'u',theleadingnbynuppertriangular
*partofthearrayAmustcontaintheuppertriangularpart
*ofthesymmetricmatrixandthestrictlylowertriangular
*partofAisnotreferenced,andwhenUPLO='L'or'l',
*theleadingnbynlowertriangularpartofthearrayA
*mustcontainthelowertriangularpartofthesymmetric
*matrixandthestrictlyuppertriangularpartofAisnot
*referenced.
*Unchangedonexit.
*
*LDA-INTEGER.
*Onentry,LDAspecifiesthefirstdimensionofAasdeclared
*inthecalling(sub)program.WhenSIDE='L'or'l'then
*LDAmustbeatleastmax(1,m),otherwiseLDAmustbeat
*leastmax(1,n).
*Unchangedonexit.
*
*B-COMPLEX*16arrayofDIMENSION(LDB,n).
*Beforeentry,theleadingmbynpartofthearrayBmust
*containthematrixB.
*Unchangedonexit.
*
*LDB-INTEGER.
*Onentry,LDBspecifiesthefirstdimensionofBasdeclared
*inthecalling(sub)program.LDBmustbeatleast
*max(1,m).
*Unchangedonexit.
*
*BETA-COMPLEX*16.
*Onentry,BETAspecifiesthescalarbeta.WhenBETAis
*suppliedaszerothenCneednotbesetoninput.
*Unchangedonexit.
*
*C-COMPLEX*16arrayofDIMENSION(LDC,n).
*Beforeentry,theleadingmbynpartofthearrayCmust
*containthematrixC,exceptwhenbetaiszero,inwhich
*caseCneednotbesetonentry.
*Onexit,thearrayCisoverwrittenbythembynupdated
*matrix.
*
*LDC-INTEGER.
*Onentry,LDCspecifiesthefirstdimensionofCasdeclared
*inthecalling(sub)program.LDCmustbeatleast
*max(1,m).
*Unchangedonexit.
*
*
*Level3Blasroutine.
*
*--Writtenon8-February-1989.
*JackDongarra,ArgonneNationalLaboratory.
*IainDuff,AEREHarwell.
*JeremyDuCroz,NumericalAlgorithmsGroupLtd.
*SvenHammarling,NumericalAlgorithmsGroupLtd.
*
*
*..ExternalFunctions..
LOGICALLSAME
EXTERNALLSAME
*..ExternalSubroutines..
EXTERNALXERBLA
*..IntrinsicFunctions..
INTRINSICMAX
*..LocalScalars..
LOGICALUPPER
INTEGERI,INFO,J,K,NROWA
COMPLEX*16TEMP1,TEMP2
*..Parameters..
COMPLEX*16ONE
PARAMETER(ONE=(1.0D+0,0.0D+0))
COMPLEX*16ZERO
PARAMETER(ZERO=(0.0D+0,0.0D+0))
*..
*..ExecutableStatements..
*
*SetNROWAasthenumberofrowsofA.
*
IF(LSAME(SIDE,'L'))THEN
NROWA=M
ELSE
NROWA=N
ENDIF
UPPER=LSAME(UPLO,'U')
*
*Testtheinputparameters.
*
INFO=0
IF((.NOT.LSAME(SIDE,'L')).AND.
$(.NOT.LSAME(SIDE,'R')))THEN
INFO=1
ELSEIF((.NOT.UPPER).AND.
$(.NOT.LSAME(UPLO,'L')))THEN
INFO=2
ELSEIF(M.LT.0)THEN
INFO=3
ELSEIF(N.LT.0)THEN
INFO=4
ELSEIF(LDA.LT.MAX(1,NROWA))THEN
INFO=7
ELSEIF(LDB.LT.MAX(1,M))THEN
INFO=9
ELSEIF(LDC.LT.MAX(1,M))THEN
INFO=12
ENDIF
IF(INFO.NE.0)THEN
CALLXERBLA('ZSYMM ',INFO)
RETURN
ENDIF
*
*Quickreturnifpossible.
*
IF((M.EQ.0).OR.(N.EQ.0).OR.
$((ALPHA.EQ.ZERO).AND.(BETA.EQ.ONE)))
$RETURN
*
*Andwhenalpha.eq.zero.
*
IF(ALPHA.EQ.ZERO)THEN
IF(BETA.EQ.ZERO)THEN
DO20,J=1,N
DO10,I=1,M
C(I,J)=ZERO
10CONTINUE
20CONTINUE
ELSE
DO40,J=1,N
DO30,I=1,M
C(I,J)=BETA*C(I,J)
30CONTINUE
40CONTINUE
ENDIF
RETURN
ENDIF
*
*Starttheoperations.
*
IF(LSAME(SIDE,'L'))THEN
*
*FormC:=alpha*A*B+beta*C.
*
IF(UPPER)THEN
DO70,J=1,N
DO60,I=1,M
TEMP1=ALPHA*B(I,J)
TEMP2=ZERO
DO50,K=1,I-1
C(K,J)=C(K,J)+TEMP1*A(K,I)
TEMP2=TEMP2+B(K,J)*A(K,I)
50CONTINUE
IF(BETA.EQ.ZERO)THEN
C(I,J)=TEMP1*A(I,I)+ALPHA*TEMP2
ELSE
C(I,J)=BETA*C(I,J)+
$TEMP1*A(I,I)+ALPHA*TEMP2
ENDIF
60CONTINUE
70CONTINUE
ELSE
DO100,J=1,N
DO90,I=M,1,-1
TEMP1=ALPHA*B(I,J)
TEMP2=ZERO
DO80,K=I+1,M
C(K,J)=C(K,J)+TEMP1*A(K,I)
TEMP2=TEMP2+B(K,J)*A(K,I)
80CONTINUE
IF(BETA.EQ.ZERO)THEN
C(I,J)=TEMP1*A(I,I)+ALPHA*TEMP2
ELSE
C(I,J)=BETA*C(I,J)+
$TEMP1*A(I,I)+ALPHA*TEMP2
ENDIF
90CONTINUE
100CONTINUE
ENDIF
ELSE
*
*FormC:=alpha*B*A+beta*C.
*
DO170,J=1,N
TEMP1=ALPHA*A(J,J)
IF(BETA.EQ.ZERO)THEN
DO110,I=1,M
C(I,J)=TEMP1*B(I,J)
110CONTINUE
ELSE
DO120,I=1,M
C(I,J)=BETA*C(I,J)+TEMP1*B(I,J)
120CONTINUE
ENDIF
DO140,K=1,J-1
IF(UPPER)THEN
TEMP1=ALPHA*A(K,J)
ELSE
TEMP1=ALPHA*A(J,K)
ENDIF
DO130,I=1,M
C(I,J)=C(I,J)+TEMP1*B(I,K)
130CONTINUE
140CONTINUE
DO160,K=J+1,N
IF(UPPER)THEN
TEMP1=ALPHA*A(J,K)
ELSE
TEMP1=ALPHA*A(K,J)
ENDIF
DO150,I=1,M
C(I,J)=C(I,J)+TEMP1*B(I,K)
150CONTINUE
160CONTINUE
170CONTINUE
ENDIF
*
RETURN
*
*EndofZSYMM.
*
END