diff libcruft/lapack/drscl.f @ 2329:30c606bec7a8

[project @ 1996-07-19 01:29:05 by jwe] Initial revision
author jwe
date Fri, 19 Jul 1996 01:29:55 +0000
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children 15cddaacbc2d
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+      SUBROUTINE DRSCL( N, SA, SX, INCX )
+*
+*  -- LAPACK auxiliary routine (version 2.0) --
+*     Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd.,
+*     Courant Institute, Argonne National Lab, and Rice University
+*     September 30, 1994
+*
+*     .. Scalar Arguments ..
+      INTEGER            INCX, N
+      DOUBLE PRECISION   SA
+*     ..
+*     .. Array Arguments ..
+      DOUBLE PRECISION   SX( * )
+*     ..
+*
+*  Purpose
+*  =======
+*
+*  DRSCL multiplies an n-element real vector x by the real scalar 1/a.
+*  This is done without overflow or underflow as long as
+*  the final result x/a does not overflow or underflow.
+*
+*  Arguments
+*  =========
+*
+*  N       (input) INTEGER
+*          The number of components of the vector x.
+*
+*  SA      (input) DOUBLE PRECISION
+*          The scalar a which is used to divide each component of x.
+*          SA must be >= 0, or the subroutine will divide by zero.
+*
+*  SX      (input/output) DOUBLE PRECISION array, dimension
+*                         (1+(N-1)*abs(INCX))
+*          The n-element vector x.
+*
+*  INCX    (input) INTEGER
+*          The increment between successive values of the vector SX.
+*          > 0:  SX(1) = X(1) and SX(1+(i-1)*INCX) = x(i),     1< i<= n
+*
+* =====================================================================
+*
+*     .. Parameters ..
+      DOUBLE PRECISION   ONE, ZERO
+      PARAMETER          ( ONE = 1.0D+0, ZERO = 0.0D+0 )
+*     ..
+*     .. Local Scalars ..
+      LOGICAL            DONE
+      DOUBLE PRECISION   BIGNUM, CDEN, CDEN1, CNUM, CNUM1, MUL, SMLNUM
+*     ..
+*     .. External Functions ..
+      DOUBLE PRECISION   DLAMCH
+      EXTERNAL           DLAMCH
+*     ..
+*     .. External Subroutines ..
+      EXTERNAL           DLABAD, DSCAL
+*     ..
+*     .. Intrinsic Functions ..
+      INTRINSIC          ABS
+*     ..
+*     .. Executable Statements ..
+*
+*     Quick return if possible
+*
+      IF( N.LE.0 )
+     $   RETURN
+*
+*     Get machine parameters
+*
+      SMLNUM = DLAMCH( 'S' )
+      BIGNUM = ONE / SMLNUM
+      CALL DLABAD( SMLNUM, BIGNUM )
+*
+*     Initialize the denominator to SA and the numerator to 1.
+*
+      CDEN = SA
+      CNUM = ONE
+*
+   10 CONTINUE
+      CDEN1 = CDEN*SMLNUM
+      CNUM1 = CNUM / BIGNUM
+      IF( ABS( CDEN1 ).GT.ABS( CNUM ) .AND. CNUM.NE.ZERO ) THEN
+*
+*        Pre-multiply X by SMLNUM if CDEN is large compared to CNUM.
+*
+         MUL = SMLNUM
+         DONE = .FALSE.
+         CDEN = CDEN1
+      ELSE IF( ABS( CNUM1 ).GT.ABS( CDEN ) ) THEN
+*
+*        Pre-multiply X by BIGNUM if CDEN is small compared to CNUM.
+*
+         MUL = BIGNUM
+         DONE = .FALSE.
+         CNUM = CNUM1
+      ELSE
+*
+*        Multiply X by CNUM / CDEN and return.
+*
+         MUL = CNUM / CDEN
+         DONE = .TRUE.
+      END IF
+*
+*     Scale the vector X by MUL
+*
+      CALL DSCAL( N, MUL, SX, INCX )
+*
+      IF( .NOT.DONE )
+     $   GO TO 10
+*
+      RETURN
+*
+*     End of DRSCL
+*
+      END