158 lines
4.3 KiB
Fortran
158 lines
4.3 KiB
Fortran
SUBROUTINE ZGERCF ( M, N, ALPHA, X, INCX, Y, INCY, A, LDA )
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* .. Scalar Arguments ..
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COMPLEX*16 ALPHA
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INTEGER INCX, INCY, LDA, M, N
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* .. Array Arguments ..
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COMPLEX*16 A( LDA, * ), X( * ), Y( * )
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* ..
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*
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* Purpose
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* =======
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*
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* ZGERC performs the rank 1 operation
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*
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* A := alpha*x*conjg( y' ) + A,
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*
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* where alpha is a scalar, x is an m element vector, y is an n element
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* vector and A is an m by n matrix.
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*
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* Parameters
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* ==========
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*
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* M - INTEGER.
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* On entry, M specifies the number of rows of the matrix A.
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* M must be at least zero.
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* Unchanged on exit.
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*
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* N - INTEGER.
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* On entry, N specifies the number of columns of the matrix A.
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* N must be at least zero.
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* Unchanged on exit.
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*
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* ALPHA - COMPLEX*16 .
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* On entry, ALPHA specifies the scalar alpha.
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* Unchanged on exit.
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*
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* X - COMPLEX*16 array of dimension at least
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* ( 1 + ( m - 1 )*abs( INCX ) ).
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* Before entry, the incremented array X must contain the m
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* element vector x.
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* Unchanged on exit.
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*
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* INCX - INTEGER.
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* On entry, INCX specifies the increment for the elements of
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* X. INCX must not be zero.
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* Unchanged on exit.
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*
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* Y - COMPLEX*16 array of dimension at least
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* ( 1 + ( n - 1 )*abs( INCY ) ).
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* Before entry, the incremented array Y must contain the n
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* element vector y.
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* Unchanged on exit.
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*
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* INCY - INTEGER.
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* On entry, INCY specifies the increment for the elements of
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* Y. INCY must not be zero.
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* Unchanged on exit.
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*
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* A - COMPLEX*16 array of DIMENSION ( LDA, n ).
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* Before entry, the leading m by n part of the array A must
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* contain the matrix of coefficients. On exit, A is
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* overwritten by the updated matrix.
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*
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* LDA - INTEGER.
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* On entry, LDA specifies the first dimension of A as declared
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* in the calling (sub) program. LDA must be at least
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* max( 1, m ).
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* Unchanged on exit.
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*
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*
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* Level 2 Blas routine.
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*
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* -- Written on 22-October-1986.
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* Jack Dongarra, Argonne National Lab.
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* Jeremy Du Croz, Nag Central Office.
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* Sven Hammarling, Nag Central Office.
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* Richard Hanson, Sandia National Labs.
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*
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*
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* .. Parameters ..
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COMPLEX*16 ZERO
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PARAMETER ( ZERO = ( 0.0D+0, 0.0D+0 ) )
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* .. Local Scalars ..
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COMPLEX*16 TEMP
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INTEGER I, INFO, IX, J, JY, KX
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* .. External Subroutines ..
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EXTERNAL XERBLA
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* .. Intrinsic Functions ..
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INTRINSIC DCONJG, MAX
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* ..
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* .. Executable Statements ..
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*
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* Test the input parameters.
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*
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INFO = 0
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IF ( M.LT.0 )THEN
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INFO = 1
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ELSE IF( N.LT.0 )THEN
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INFO = 2
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ELSE IF( INCX.EQ.0 )THEN
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INFO = 5
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ELSE IF( INCY.EQ.0 )THEN
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INFO = 7
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ELSE IF( LDA.LT.MAX( 1, M ) )THEN
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INFO = 9
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END IF
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IF( INFO.NE.0 )THEN
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CALL XERBLA( 'ZGERC ', INFO )
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RETURN
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END IF
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*
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* Quick return if possible.
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*
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IF( ( M.EQ.0 ).OR.( N.EQ.0 ).OR.( ALPHA.EQ.ZERO ) )
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$ RETURN
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*
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* Start the operations. In this version the elements of A are
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* accessed sequentially with one pass through A.
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*
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IF( INCY.GT.0 )THEN
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JY = 1
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ELSE
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JY = 1 - ( N - 1 )*INCY
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END IF
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IF( INCX.EQ.1 )THEN
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DO 20, J = 1, N
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IF( Y( JY ).NE.ZERO )THEN
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TEMP = ALPHA*DCONJG( Y( JY ) )
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DO 10, I = 1, M
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A( I, J ) = A( I, J ) + X( I )*TEMP
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10 CONTINUE
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END IF
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JY = JY + INCY
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20 CONTINUE
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ELSE
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IF( INCX.GT.0 )THEN
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KX = 1
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ELSE
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KX = 1 - ( M - 1 )*INCX
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END IF
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DO 40, J = 1, N
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IF( Y( JY ).NE.ZERO )THEN
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TEMP = ALPHA*DCONJG( Y( JY ) )
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IX = KX
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DO 30, I = 1, M
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A( I, J ) = A( I, J ) + X( IX )*TEMP
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IX = IX + INCX
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30 CONTINUE
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END IF
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JY = JY + INCY
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40 CONTINUE
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END IF
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*
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RETURN
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*
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* End of ZGERC .
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*
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END
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