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OpenBLAS

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cher2f.f

cher2f.f 8.22 KB

SUBROUTINE CHER2F ( UPLO, N, ALPHA, X, INCX, Y, INCY, A, LDA )
* .. Scalar Arguments ..
 COMPLEX ALPHA
 INTEGER INCX, INCY, LDA, N
 CHARACTER*1 UPLO
* .. Array Arguments ..
 COMPLEX A( LDA, * ), X( * ), Y( * )
* ..
*
* Purpose
* =======
*
* CHER2 performs the hermitian rank 2 operation
*
* A := alpha*x*conjg( y' ) + conjg( alpha )*y*conjg( x' ) + A,
*
* where alpha is a scalar, x and y are n element vectors and A is an n
* by n hermitian matrix.
*
* Parameters
* ==========
*
* UPLO - CHARACTER*1.
* On entry, UPLO specifies whether the upper or lower
* triangular part of the array A is to be referenced as
* follows:
*
* UPLO = 'U' or 'u' Only the upper triangular part of A
* is to be referenced.
*
* UPLO = 'L' or 'l' Only the lower triangular part of A
* is to be referenced.
*
* Unchanged on exit.
*
* N - INTEGER.
* On entry, N specifies the order of the matrix A.
* N must be at least zero.
* Unchanged on exit.
*
* ALPHA - COMPLEX .
* On entry, ALPHA specifies the scalar alpha.
* Unchanged on exit.
*
* X - COMPLEX array of dimension at least
* ( 1 + ( n - 1 )*abs( INCX ) ).
* Before entry, the incremented array X must contain the n
* element vector x.
* Unchanged on exit.
*
* INCX - INTEGER.
* On entry, INCX specifies the increment for the elements of
* X. INCX must not be zero.
* Unchanged on exit.
*
* Y - COMPLEX array of dimension at least
* ( 1 + ( n - 1 )*abs( INCY ) ).
* Before entry, the incremented array Y must contain the n
* element vector y.
* Unchanged on exit.
*
* INCY - INTEGER.
* On entry, INCY specifies the increment for the elements of
* Y. INCY must not be zero.
* Unchanged on exit.
*
* A - COMPLEX array of DIMENSION ( LDA, n ).
* Before entry with UPLO = 'U' or 'u', the leading n by n
* upper triangular part of the array A must contain the upper
* triangular part of the hermitian matrix and the strictly
* lower triangular part of A is not referenced. On exit, the
* upper triangular part of the array A is overwritten by the
* upper triangular part of the updated matrix.
* Before entry with UPLO = 'L' or 'l', the leading n by n
* lower triangular part of the array A must contain the lower
* triangular part of the hermitian matrix and the strictly
* upper triangular part of A is not referenced. On exit, the
* lower triangular part of the array A is overwritten by the
* lower triangular part of the updated matrix.
* Note that the imaginary parts of the diagonal elements need
* not be set, they are assumed to be zero, and on exit they
* are set to zero.
*
* LDA - INTEGER.
* On entry, LDA specifies the first dimension of A as declared
* in the calling (sub) program. LDA must be at least
* max( 1, n ).
* Unchanged on exit.
*
*
* Level 2 Blas routine.
*
* -- Written on 22-October-1986.
* Jack Dongarra, Argonne National Lab.
* Jeremy Du Croz, Nag Central Office.
* Sven Hammarling, Nag Central Office.
* Richard Hanson, Sandia National Labs.
*
*
* .. Parameters ..
 COMPLEX ZERO
 PARAMETER ( ZERO = ( 0.0E+0, 0.0E+0 ) )
* .. Local Scalars ..
 COMPLEX TEMP1, TEMP2
 INTEGER I, INFO, IX, IY, J, JX, JY, KX, KY
* .. External Functions ..
 LOGICAL LSAME
 EXTERNAL LSAME
* .. External Subroutines ..
 EXTERNAL XERBLA
* .. Intrinsic Functions ..
 INTRINSIC CONJG, MAX, REAL
* ..
* .. Executable Statements ..
*
* Test the input parameters.
*
 INFO = 0
 IF ( .NOT.LSAME( UPLO, 'U' ).AND.
 $ .NOT.LSAME( UPLO, 'L' ) )THEN
 INFO = 1
 ELSE IF( N.LT.0 )THEN
 INFO = 2
 ELSE IF( INCX.EQ.0 )THEN
 INFO = 5
 ELSE IF( INCY.EQ.0 )THEN
 INFO = 7
 ELSE IF( LDA.LT.MAX( 1, N ) )THEN
 INFO = 9
 END IF
 IF( INFO.NE.0 )THEN
 CALL XERBLA( 'CHER2 ', INFO )
 RETURN
 END IF
*
* Quick return if possible.
*
 IF( ( N.EQ.0 ).OR.( ALPHA.EQ.ZERO ) )
 $ RETURN
*
* Set up the start points in X and Y if the increments are not both
* unity.
*
 IF( ( INCX.NE.1 ).OR.( INCY.NE.1 ) )THEN
 IF( INCX.GT.0 )THEN
 KX = 1
 ELSE
 KX = 1 - ( N - 1 )*INCX
 END IF
 IF( INCY.GT.0 )THEN
 KY = 1
 ELSE
 KY = 1 - ( N - 1 )*INCY
 END IF
 JX = KX
 JY = KY
 END IF
*
* Start the operations. In this version the elements of A are
* accessed sequentially with one pass through the triangular part
* of A.
*
 IF( LSAME( UPLO, 'U' ) )THEN
*
* Form A when A is stored in the upper triangle.
*
 IF( ( INCX.EQ.1 ).AND.( INCY.EQ.1 ) )THEN
 DO 20, J = 1, N
 IF( ( X( J ).NE.ZERO ).OR.( Y( J ).NE.ZERO ) )THEN
 TEMP1 = ALPHA*CONJG( Y( J ) )
 TEMP2 = CONJG( ALPHA*X( J ) )
 DO 10, I = 1, J - 1
 A( I, J ) = A( I, J ) + X( I )*TEMP1 + Y( I )*TEMP2
 10 CONTINUE
 A( J, J ) = REAL( A( J, J ) ) +
 $ REAL( X( J )*TEMP1 + Y( J )*TEMP2 )
 ELSE
 A( J, J ) = REAL( A( J, J ) )
 END IF
 20 CONTINUE
 ELSE
 DO 40, J = 1, N
 IF( ( X( JX ).NE.ZERO ).OR.( Y( JY ).NE.ZERO ) )THEN
 TEMP1 = ALPHA*CONJG( Y( JY ) )
 TEMP2 = CONJG( ALPHA*X( JX ) )
 IX = KX
 IY = KY
 DO 30, I = 1, J - 1
 A( I, J ) = A( I, J ) + X( IX )*TEMP1
 $ + Y( IY )*TEMP2
 IX = IX + INCX
 IY = IY + INCY
 30 CONTINUE
 A( J, J ) = REAL( A( J, J ) ) +
 $ REAL( X( JX )*TEMP1 + Y( JY )*TEMP2 )
 ELSE
 A( J, J ) = REAL( A( J, J ) )
 END IF
 JX = JX + INCX
 JY = JY + INCY
 40 CONTINUE
 END IF
 ELSE
*
* Form A when A is stored in the lower triangle.
*
 IF( ( INCX.EQ.1 ).AND.( INCY.EQ.1 ) )THEN
 DO 60, J = 1, N
 IF( ( X( J ).NE.ZERO ).OR.( Y( J ).NE.ZERO ) )THEN
 TEMP1 = ALPHA*CONJG( Y( J ) )
 TEMP2 = CONJG( ALPHA*X( J ) )
 A( J, J ) = REAL( A( J, J ) ) +
 $ REAL( X( J )*TEMP1 + Y( J )*TEMP2 )
 DO 50, I = J + 1, N
 A( I, J ) = A( I, J ) + X( I )*TEMP1 + Y( I )*TEMP2
 50 CONTINUE
 ELSE
 A( J, J ) = REAL( A( J, J ) )
 END IF
 60 CONTINUE
 ELSE
 DO 80, J = 1, N
 IF( ( X( JX ).NE.ZERO ).OR.( Y( JY ).NE.ZERO ) )THEN
 TEMP1 = ALPHA*CONJG( Y( JY ) )
 TEMP2 = CONJG( ALPHA*X( JX ) )
 A( J, J ) = REAL( A( J, J ) ) +
 $ REAL( X( JX )*TEMP1 + Y( JY )*TEMP2 )
 IX = JX
 IY = JY
 DO 70, I = J + 1, N
 IX = IX + INCX
 IY = IY + INCY
 A( I, J ) = A( I, J ) + X( IX )*TEMP1
 $ + Y( IY )*TEMP2
 70 CONTINUE
 ELSE
 A( J, J ) = REAL( A( J, J ) )
 END IF
 JX = JX + INCX
 JY = JY + INCY
 80 CONTINUE
 END IF
 END IF
*
 RETURN
*
* End of CHER2 .
*
 END

Copy Edit Raw Blame History

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

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SUBROUTINECHER2F(UPLO,N,ALPHA,X,INCX,Y,INCY,A,LDA)
*..ScalarArguments..
COMPLEXALPHA
INTEGERINCX,INCY,LDA,N
CHARACTER*1UPLO
*..ArrayArguments..
COMPLEXA(LDA,*),X(*),Y(*)
*..
*
*Purpose
*=======
*
*CHER2performsthehermitianrank2operation
*
*A:=alpha*x*conjg(y' ) + conjg( alpha )*y*conjg( x')+A,
*
*wherealphaisascalar,xandyarenelementvectorsandAisann
*bynhermitianmatrix.
*
*Parameters
*==========
*
*UPLO-CHARACTER*1.
*Onentry,UPLOspecifieswhethertheupperorlower
*triangularpartofthearrayAistobereferencedas
*follows:
*
*UPLO='U'or'u'OnlytheuppertriangularpartofA
*istobereferenced.
*
*UPLO='L'or'l'OnlythelowertriangularpartofA
*istobereferenced.
*
*Unchangedonexit.
*
*N-INTEGER.
*Onentry,NspecifiestheorderofthematrixA.
*Nmustbeatleastzero.
*Unchangedonexit.
*
*ALPHA-COMPLEX.
*Onentry,ALPHAspecifiesthescalaralpha.
*Unchangedonexit.
*
*X-COMPLEXarrayofdimensionatleast
*(1+(n-1)*abs(INCX)).
*Beforeentry,theincrementedarrayXmustcontainthen
*elementvectorx.
*Unchangedonexit.
*
*INCX-INTEGER.
*Onentry,INCXspecifiestheincrementfortheelementsof
*X.INCXmustnotbezero.
*Unchangedonexit.
*
*Y-COMPLEXarrayofdimensionatleast
*(1+(n-1)*abs(INCY)).
*Beforeentry,theincrementedarrayYmustcontainthen
*elementvectory.
*Unchangedonexit.
*
*INCY-INTEGER.
*Onentry,INCYspecifiestheincrementfortheelementsof
*Y.INCYmustnotbezero.
*Unchangedonexit.
*
*A-COMPLEXarrayofDIMENSION(LDA,n).
*BeforeentrywithUPLO='U'or'u',theleadingnbyn
*uppertriangularpartofthearrayAmustcontaintheupper
*triangularpartofthehermitianmatrixandthestrictly
*lowertriangularpartofAisnotreferenced.Onexit,the
*uppertriangularpartofthearrayAisoverwrittenbythe
*uppertriangularpartoftheupdatedmatrix.
*BeforeentrywithUPLO='L'or'l',theleadingnbyn
*lowertriangularpartofthearrayAmustcontainthelower
*triangularpartofthehermitianmatrixandthestrictly
*uppertriangularpartofAisnotreferenced.Onexit,the
*lowertriangularpartofthearrayAisoverwrittenbythe
*lowertriangularpartoftheupdatedmatrix.
*Notethattheimaginarypartsofthediagonalelementsneed
*notbeset,theyareassumedtobezero,andonexitthey
*aresettozero.
*
*LDA-INTEGER.
*Onentry,LDAspecifiesthefirstdimensionofAasdeclared
*inthecalling(sub)program.LDAmustbeatleast
*max(1,n).
*Unchangedonexit.
*
*
*Level2Blasroutine.
*
*--Writtenon22-October-1986.
*JackDongarra,ArgonneNationalLab.
*JeremyDuCroz,NagCentralOffice.
*SvenHammarling,NagCentralOffice.
*RichardHanson,SandiaNationalLabs.
*
*
*..Parameters..
COMPLEXZERO
PARAMETER(ZERO=(0.0E+0,0.0E+0))
*..LocalScalars..
COMPLEXTEMP1,TEMP2
INTEGERI,INFO,IX,IY,J,JX,JY,KX,KY
*..ExternalFunctions..
LOGICALLSAME
EXTERNALLSAME
*..ExternalSubroutines..
EXTERNALXERBLA
*..IntrinsicFunctions..
INTRINSICCONJG,MAX,REAL
*..
*..ExecutableStatements..
*
*Testtheinputparameters.
*
INFO=0
IF(.NOT.LSAME(UPLO,'U').AND.
$.NOT.LSAME(UPLO,'L'))THEN
INFO=1
ELSEIF(N.LT.0)THEN
INFO=2
ELSEIF(INCX.EQ.0)THEN
INFO=5
ELSEIF(INCY.EQ.0)THEN
INFO=7
ELSEIF(LDA.LT.MAX(1,N))THEN
INFO=9
ENDIF
IF(INFO.NE.0)THEN
CALLXERBLA('CHER2 ',INFO)
RETURN
ENDIF
*
*Quickreturnifpossible.
*
IF((N.EQ.0).OR.(ALPHA.EQ.ZERO))
$RETURN
*
*SetupthestartpointsinXandYiftheincrementsarenotboth
*unity.
*
IF((INCX.NE.1).OR.(INCY.NE.1))THEN
IF(INCX.GT.0)THEN
KX=1
ELSE
KX=1-(N-1)*INCX
ENDIF
IF(INCY.GT.0)THEN
KY=1
ELSE
KY=1-(N-1)*INCY
ENDIF
JX=KX
JY=KY
ENDIF
*
*Starttheoperations.InthisversiontheelementsofAare
*accessedsequentiallywithonepassthroughthetriangularpart
*ofA.
*
IF(LSAME(UPLO,'U'))THEN
*
*FormAwhenAisstoredintheuppertriangle.
*
IF((INCX.EQ.1).AND.(INCY.EQ.1))THEN
DO20,J=1,N
IF((X(J).NE.ZERO).OR.(Y(J).NE.ZERO))THEN
TEMP1=ALPHA*CONJG(Y(J))
TEMP2=CONJG(ALPHA*X(J))
DO10,I=1,J-1
A(I,J)=A(I,J)+X(I)*TEMP1+Y(I)*TEMP2
10CONTINUE
A(J,J)=REAL(A(J,J))+
$REAL(X(J)*TEMP1+Y(J)*TEMP2)
ELSE
A(J,J)=REAL(A(J,J))
ENDIF
20CONTINUE
ELSE
DO40,J=1,N
IF((X(JX).NE.ZERO).OR.(Y(JY).NE.ZERO))THEN
TEMP1=ALPHA*CONJG(Y(JY))
TEMP2=CONJG(ALPHA*X(JX))
IX=KX
IY=KY
DO30,I=1,J-1
A(I,J)=A(I,J)+X(IX)*TEMP1
$+Y(IY)*TEMP2
IX=IX+INCX
IY=IY+INCY
30CONTINUE
A(J,J)=REAL(A(J,J))+
$REAL(X(JX)*TEMP1+Y(JY)*TEMP2)
ELSE
A(J,J)=REAL(A(J,J))
ENDIF
JX=JX+INCX
JY=JY+INCY
40CONTINUE
ENDIF
ELSE
*
*FormAwhenAisstoredinthelowertriangle.
*
IF((INCX.EQ.1).AND.(INCY.EQ.1))THEN
DO60,J=1,N
IF((X(J).NE.ZERO).OR.(Y(J).NE.ZERO))THEN
TEMP1=ALPHA*CONJG(Y(J))
TEMP2=CONJG(ALPHA*X(J))
A(J,J)=REAL(A(J,J))+
$REAL(X(J)*TEMP1+Y(J)*TEMP2)
DO50,I=J+1,N
A(I,J)=A(I,J)+X(I)*TEMP1+Y(I)*TEMP2
50CONTINUE
ELSE
A(J,J)=REAL(A(J,J))
ENDIF
60CONTINUE
ELSE
DO80,J=1,N
IF((X(JX).NE.ZERO).OR.(Y(JY).NE.ZERO))THEN
TEMP1=ALPHA*CONJG(Y(JY))
TEMP2=CONJG(ALPHA*X(JX))
A(J,J)=REAL(A(J,J))+
$REAL(X(JX)*TEMP1+Y(JY)*TEMP2)
IX=JX
IY=JY
DO70,I=J+1,N
IX=IX+INCX
IY=IY+INCY
A(I,J)=A(I,J)+X(IX)*TEMP1
$+Y(IY)*TEMP2
70CONTINUE
ELSE
A(J,J)=REAL(A(J,J))
ENDIF
JX=JX+INCX
JY=JY+INCY
80CONTINUE
ENDIF
ENDIF
*
RETURN
*
*EndofCHER2.
*
END