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OpenBLAS

reference

clauu2f.f

clauu2f.f 4.15 KB

SUBROUTINE CLAUU2F( UPLO, N, A, LDA, INFO )
*
* -- LAPACK auxiliary routine (version 3.1) --
* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
* November 2006
*
* .. Scalar Arguments ..
 CHARACTER UPLO
 INTEGER INFO, LDA, N
* ..
* .. Array Arguments ..
 COMPLEX A( LDA, * )
* ..
*
* Purpose
* =======
*
* CLAUU2 computes the product U * U' or L' * L, where the triangular
* factor U or L is stored in the upper or lower triangular part of
* the array A.
*
* If UPLO = 'U' or 'u' then the upper triangle of the result is stored,
* overwriting the factor U in A.
* If UPLO = 'L' or 'l' then the lower triangle of the result is stored,
* overwriting the factor L in A.
*
* This is the unblocked form of the algorithm, calling Level 2 BLAS.
*
* Arguments
* =========
*
* UPLO (input) CHARACTER*1
* Specifies whether the triangular factor stored in the array A
* is upper or lower triangular:
* = 'U': Upper triangular
* = 'L': Lower triangular
*
* N (input) INTEGER
* The order of the triangular factor U or L. N >= 0.
*
* A (input/output) COMPLEX array, dimension (LDA,N)
* On entry, the triangular factor U or L.
* On exit, if UPLO = 'U', the upper triangle of A is
* overwritten with the upper triangle of the product U * U';
* if UPLO = 'L', the lower triangle of A is overwritten with
* the lower triangle of the product L' * L.
*
* LDA (input) INTEGER
* The leading dimension of the array A. LDA >= max(1,N).
*
* INFO (output) INTEGER
* = 0: successful exit
* < 0: if INFO = -k, the k-th argument had an illegal value
*
* =====================================================================
*
* .. Parameters ..
 COMPLEX ONE
 PARAMETER ( ONE = ( 1.0E+0, 0.0E+0 ) )
* ..
* .. Local Scalars ..
 LOGICAL UPPER
 INTEGER I
 REAL AII
* ..
* .. External Functions ..
 LOGICAL LSAME
 COMPLEX CDOTC
 EXTERNAL LSAME, CDOTC
* ..
* .. External Subroutines ..
 EXTERNAL CGEMV, CLACGV, CSSCAL, XERBLA
* ..
* .. Intrinsic Functions ..
 INTRINSIC CMPLX, MAX, REAL
* ..
* .. Executable Statements ..
*
* Test the input parameters.
*
 INFO = 0
 UPPER = LSAME( UPLO, 'U' )
 IF( .NOT.UPPER .AND. .NOT.LSAME( UPLO, 'L' ) ) THEN
 INFO = -1
 ELSE IF( N.LT.0 ) THEN
 INFO = -2
 ELSE IF( LDA.LT.MAX( 1, N ) ) THEN
 INFO = -4
 END IF
 IF( INFO.NE.0 ) THEN
 CALL XERBLA( 'CLAUU2', -INFO )
 RETURN
 END IF
*
* Quick return if possible
*
 IF( N.EQ.0 )
 $ RETURN
*
 IF( UPPER ) THEN
*
* Compute the product U * U'.
*
 DO 10 I = 1, N
 AII = A( I, I )
 IF( I.LT.N ) THEN
 A( I, I ) = AII*AII + REAL( CDOTC( N-I, A( I, I+1 ), LDA,
 $ A( I, I+1 ), LDA ) )
 CALL CLACGV( N-I, A( I, I+1 ), LDA )
 CALL CGEMV( 'No transpose', I-1, N-I, ONE, A( 1, I+1 ),
 $ LDA, A( I, I+1 ), LDA, CMPLX( AII ),
 $ A( 1, I ), 1 )
 CALL CLACGV( N-I, A( I, I+1 ), LDA )
 ELSE
 CALL CSSCAL( I, AII, A( 1, I ), 1 )
 END IF
 10 CONTINUE
*
 ELSE
*
* Compute the product L' * L.
*
 DO 20 I = 1, N
 AII = A( I, I )
 IF( I.LT.N ) THEN
 A( I, I ) = AII*AII + REAL( CDOTC( N-I, A( I+1, I ), 1,
 $ A( I+1, I ), 1 ) )
 CALL CLACGV( I-1, A( I, 1 ), LDA )
 CALL CGEMV( 'Conjugate transpose', N-I, I-1, ONE,
 $ A( I+1, 1 ), LDA, A( I+1, I ), 1,
 $ CMPLX( AII ), A( I, 1 ), LDA )
 CALL CLACGV( I-1, A( I, 1 ), LDA )
 ELSE
 CALL CSSCAL( I, AII, A( I, 1 ), LDA )
 END IF
 20 CONTINUE
 END IF
*
 RETURN
*
* End of CLAUU2
*
 END

一键复制编辑原始数据按行查看历史

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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SUBROUTINECLAUU2F(UPLO,N,A,LDA,INFO)
*
*--LAPACKauxiliaryroutine(version3.1)--
*Univ.ofTennessee,Univ.ofCaliforniaBerkeleyandNAGLtd..
*November2006
*
*..ScalarArguments..
CHARACTERUPLO
INTEGERINFO,LDA,N
*..
*..ArrayArguments..
COMPLEXA(LDA,*)
*..
*
*Purpose
*=======
*
*CLAUU2computestheproductU*U' or L'*L,wherethetriangular
*factorUorLisstoredintheupperorlowertriangularpartof
*thearrayA.
*
*IfUPLO='U'or'u'thentheuppertriangleoftheresultisstored,
*overwritingthefactorUinA.
*IfUPLO='L'or'l'thenthelowertriangleoftheresultisstored,
*overwritingthefactorLinA.
*
*Thisistheunblockedformofthealgorithm,callingLevel2BLAS.
*
*Arguments
*=========
*
*UPLO(input)CHARACTER*1
*SpecifieswhetherthetriangularfactorstoredinthearrayA
*isupperorlowertriangular:
*='U':Uppertriangular
*='L':Lowertriangular
*
*N(input)INTEGER
*TheorderofthetriangularfactorUorL.N>=0.
*
*A(input/output)COMPLEXarray,dimension(LDA,N)
*Onentry,thetriangularfactorUorL.
*Onexit,ifUPLO='U',theuppertriangleofAis
*overwrittenwiththeuppertriangleoftheproductU*U';
* if UPLO = 'L', the lower triangle of A is overwritten with
* the lower triangle of the product L'*L.
*
*LDA(input)INTEGER
*TheleadingdimensionofthearrayA.LDA>=max(1,N).
*
*INFO(output)INTEGER
*=0:successfulexit
*<0:ifINFO=-k,thek-thargumenthadanillegalvalue
*
*=====================================================================
*
*..Parameters..
COMPLEXONE
PARAMETER(ONE=(1.0E+0,0.0E+0))
*..
*..LocalScalars..
LOGICALUPPER
INTEGERI
REALAII
*..
*..ExternalFunctions..
LOGICALLSAME
COMPLEXCDOTC
EXTERNALLSAME,CDOTC
*..
*..ExternalSubroutines..
EXTERNALCGEMV,CLACGV,CSSCAL,XERBLA
*..
*..IntrinsicFunctions..
INTRINSICCMPLX,MAX,REAL
*..
*..ExecutableStatements..
*
*Testtheinputparameters.
*
INFO=0
UPPER=LSAME(UPLO,'U')
IF(.NOT.UPPER.AND..NOT.LSAME(UPLO,'L'))THEN
INFO=-1
ELSEIF(N.LT.0)THEN
INFO=-2
ELSEIF(LDA.LT.MAX(1,N))THEN
INFO=-4
ENDIF
IF(INFO.NE.0)THEN
CALLXERBLA('CLAUU2',-INFO)
RETURN
ENDIF
*
*Quickreturnifpossible
*
IF(N.EQ.0)
$RETURN
*
IF(UPPER)THEN
*
*ComputetheproductU*U'.
*
 DO 10 I = 1, N
 AII = A( I, I )
 IF( I.LT.N ) THEN
 A( I, I ) = AII*AII + REAL( CDOTC( N-I, A( I, I+1 ), LDA,
 $ A( I, I+1 ), LDA ) )
 CALL CLACGV( N-I, A( I, I+1 ), LDA )
 CALL CGEMV( 'Notranspose', I-1, N-I, ONE, A( 1, I+1 ),
 $ LDA, A( I, I+1 ), LDA, CMPLX( AII ),
 $ A( 1, I ), 1 )
 CALL CLACGV( N-I, A( I, I+1 ), LDA )
 ELSE
 CALL CSSCAL( I, AII, A( 1, I ), 1 )
 END IF
 10 CONTINUE
*
 ELSE
*
* Compute the product L'*L.
*
DO20I=1,N
AII=A(I,I)
IF(I.LT.N)THEN
A(I,I)=AII*AII+REAL(CDOTC(N-I,A(I+1,I),1,
$A(I+1,I),1))
CALLCLACGV(I-1,A(I,1),LDA)
CALLCGEMV('Conjugate transpose',N-I,I-1,ONE,
$A(I+1,1),LDA,A(I+1,I),1,
$CMPLX(AII),A(I,1),LDA)
CALLCLACGV(I-1,A(I,1),LDA)
ELSE
CALLCSSCAL(I,AII,A(I,1),LDA)
ENDIF
20CONTINUE
ENDIF
*
RETURN
*
*EndofCLAUU2
*
END