B105: Value of a Polynomial

Author(s): K.S. Kölbig	Library: MATHLIB
Submitter:	Submitted: 01.12.1994
Language: Fortran	Revised:

Function subprograms RPLNML, DPLNML calculate the value of the polynomial

or

for real values x, whereas function subprograms CPLNML, WPLNML calculate the value of the polynomial

or

for complex values z.

On CDC and Cray computers, the double-precision versions DPLNML and WPLNML are not available.

Structure:

FUNCTION subprograms
User Entry Names: RPLNML, DPLNML, CPLNML, WPLNML

Usage:

For (type REAL), (type DOUBLE PRECISION),

    tPLNML(X,N,A,MODE)

has, in any arithmetic expression, the value or ;

for (type COMPLEX), (type COMPLEX*16),

    tPLNML(Z,N,C,MODE)

has, in any arithmetic expression, the value or .

X,Z

(type according to t) Arguments x or z, respectively.

N

(INTEGER) Degree n of or .

A,C

(type according to t) One-dimensional arrays of dimension (0:d) where , containing the coefficients or in A(k) or C(k), respectively.

MODE

(INTEGER) Either +1 for or -1 for .

Method:

The Horner scheme is used.

Notes:

A reference with or MODE different from +1 or -1 returns the value zero.