SLATEC Routines --- POLYVL ---

*DECK POLYVL
      SUBROUTINE POLYVL (NDER, XX, YFIT, YP, N, X, C, WORK, IERR)
C***BEGIN PROLOGUE  POLYVL
C***PURPOSE  Calculate the value of a polynomial and its first NDER
C            derivatives where the polynomial was produced by a previous
C            call to POLINT.
C***LIBRARY   SLATEC
C***CATEGORY  E3
C***TYPE      SINGLE PRECISION (POLYVL-S, DPOLVL-D)
C***KEYWORDS  POLYNOMIAL EVALUATION
C***AUTHOR  Huddleston, R. E., (SNLL)
C***DESCRIPTION
C
C     Written by Robert E. Huddleston, Sandia Laboratories, Livermore
C
C     Abstract -
C        Subroutine POLYVL calculates the value of the polynomial and
C     its first NDER derivatives where the polynomial was produced by
C     a previous call to POLINT.
C        The variable N and the arrays X and C must not be altered
C     between the call to POLINT and the call to POLYVL.
C
C     ******  Dimensioning Information *******
C
C     YP   must be dimensioned by at least NDER
C     X    must be dimensioned by at least N (see the abstract )
C     C    must be dimensioned by at least N (see the abstract )
C     WORK must be dimensioned by at least 2*N if NDER is .GT. 0.
C
C     *** Note ***
C       If NDER=0, neither YP nor WORK need to be dimensioned variables.
C       If NDER=1, YP does not need to be a dimensioned variable.
C
C
C     *****  Input parameters
C
C     NDER - the number of derivatives to be evaluated
C
C     XX   - the argument at which the polynomial and its derivatives
C            are to be evaluated.
C
C     N    - *****
C            *       N, X, and C must not be altered between the call
C     X    - *       to POLINT and the call to POLYVL.
C     C    - *****
C
C
C     *****  Output Parameters
C
C     YFIT - the value of the polynomial at XX
C
C     YP   - the derivatives of the polynomial at XX.  The derivative of
C            order J at XX is stored in  YP(J) , J = 1,...,NDER.
C
C     IERR - Output error flag with the following possible values.
C          = 1  indicates normal execution
C
C     ***** Storage Parameters
C
C     WORK  = this is an array to provide internal working storage for
C             POLYVL.  It must be dimensioned by at least 2*N if NDER is
C             .GT. 0.  If NDER=0, WORK does not need to be a dimensioned
C             variable.
C
C***REFERENCES  L. F. Shampine, S. M. Davenport and R. E. Huddleston,
C                 Curve fitting by polynomials in one variable, Report
C                 SLA-74-0270, Sandia Laboratories, June 1974.
C***ROUTINES CALLED  (NONE)
C***REVISION HISTORY  (YYMMDD)
C   740601  DATE WRITTEN
C   890531  Changed all specific intrinsics to generic.  (WRB)
C   890531  REVISION DATE from Version 3.2
C   891214  Prologue converted to Version 4.0 format.  (BAB)
C   920501  Reformatted the REFERENCES section.  (WRB)
C***END PROLOGUE  POLYVL