SLATEC Common Mathematical Library -- Table of Contents
SECTION I. User-callable Routines
Category E. Interpolation
E1. Univariate data (curve fitting)
E3. Service routines
BSPDOC-A Documentation for BSPLINE, a package of subprograms for
working with piecewise polynomial functions
in B-representation.
E1. Univariate data (curve fitting)
E1A. Polynomial splines (piecewise polynomials)
BINT4-S Compute the B-representation of a cubic spline
DBINT4-D which interpolates given data.
BINTK-S Compute the B-representation of a spline which interpolates
DBINTK-D given data.
BSPDOC-A Documentation for BSPLINE, a package of subprograms for
working with piecewise polynomial functions
in B-representation.
PCHDOC-A Documentation for PCHIP, a Fortran package for piecewise
cubic Hermite interpolation of data.
PCHIC-S Set derivatives needed to determine a piecewise monotone
DPCHIC-D piecewise cubic Hermite interpolant to given data.
User control is available over boundary conditions and/or
treatment of points where monotonicity switches direction.
PCHIM-S Set derivatives needed to determine a monotone piecewise
DPCHIM-D cubic Hermite interpolant to given data. Boundary values
are provided which are compatible with monotonicity. The
interpolant will have an extremum at each point where mono-
tonicity switches direction. (See PCHIC if user control is
desired over boundary or switch conditions.)
PCHSP-S Set derivatives needed to determine the Hermite represen-
DPCHSP-D tation of the cubic spline interpolant to given data, with
specified boundary conditions.
E1B. Polynomials
POLCOF-S Compute the coefficients of the polynomial fit (including
DPOLCF-D Hermite polynomial fits) produced by a previous call to
POLINT.
POLINT-S Produce the polynomial which interpolates a set of discrete
DPLINT-D data points.
E3. Service routines (e.g., grid generation, evaluation of fitted functions)
(search also class N5)
BFQAD-S Compute the integral of a product of a function and a
DBFQAD-D derivative of a B-spline.
BSPDR-S Use the B-representation to construct a divided difference
DBSPDR-D table preparatory to a (right) derivative calculation.
BSPEV-S Calculate the value of the spline and its derivatives from
DBSPEV-D the B-representation.
BSPPP-S Convert the B-representation of a B-spline to the piecewise
DBSPPP-D polynomial (PP) form.
BSPVD-S Calculate the value and all derivatives of order less than
DBSPVD-D NDERIV of all basis functions which do not vanish at X.
BSPVN-S Calculate the value of all (possibly) nonzero basis
DBSPVN-D functions at X.
BSQAD-S Compute the integral of a K-th order B-spline using the
DBSQAD-D B-representation.
BVALU-S Evaluate the B-representation of a B-spline at X for the
DBVALU-D function value or any of its derivatives.
CHFDV-S Evaluate a cubic polynomial given in Hermite form and its
DCHFDV-D first derivative at an array of points. While designed for
use by PCHFD, it may be useful directly as an evaluator
for a piecewise cubic Hermite function in applications,
such as graphing, where the interval is known in advance.
If only function values are required, use CHFEV instead.
CHFEV-S Evaluate a cubic polynomial given in Hermite form at an
DCHFEV-D array of points. While designed for use by PCHFE, it may
be useful directly as an evaluator for a piecewise cubic
Hermite function in applications, such as graphing, where
the interval is known in advance.
INTRV-S Compute the largest integer ILEFT in 1 .LE. ILEFT .LE. LXT
DINTRV-D such that XT(ILEFT) .LE. X where XT(*) is a subdivision
of the X interval.
PCHBS-S Piecewise Cubic Hermite to B-Spline converter.
DPCHBS-D
PCHCM-S Check a cubic Hermite function for monotonicity.
DPCHCM-D
PCHFD-S Evaluate a piecewise cubic Hermite function and its first
DPCHFD-D derivative at an array of points. May be used by itself
for Hermite interpolation, or as an evaluator for PCHIM
or PCHIC. If only function values are required, use
PCHFE instead.
PCHFE-S Evaluate a piecewise cubic Hermite function at an array of
DPCHFE-D points. May be used by itself for Hermite interpolation,
or as an evaluator for PCHIM or PCHIC.
PCHIA-S Evaluate the definite integral of a piecewise cubic
DPCHIA-D Hermite function over an arbitrary interval.
PCHID-S Evaluate the definite integral of a piecewise cubic
DPCHID-D Hermite function over an interval whose endpoints are data
points.
PFQAD-S Compute the integral on (X1,X2) of a product of a function
DPFQAD-D F and the ID-th derivative of a B-spline,
(PP-representation).
POLYVL-S Calculate the value of a polynomial and its first NDER
DPOLVL-D derivatives where the polynomial was produced by a previous
call to POLINT.
PPQAD-S Compute the integral on (X1,X2) of a K-th order B-spline
DPPQAD-D using the piecewise polynomial (PP) representation.
PPVAL-S Calculate the value of the IDERIV-th derivative of the
DPPVAL-D B-spline from the PP-representation.