61_direct_chs_root_evaluation: Direct CHS Root Evaluation

In kubik: Cubic Hermite Splines and Related Root Finding Methods

Description

Compute roots of cubic Hermite splines, directly.

Usage

root.chs.eval (cx, cy, cb, ...,
    include.implied.roots=TRUE, warning=TRUE)
argmin.chs.eval (cx, cy, cb, ...,
    include.implied.roots=TRUE, warning=TRUE)
argmax.chs.eval (cx, cy, cb, ...,
    include.implied.roots=TRUE, warning=TRUE)
argflex.chs.eval (cx, cy, cb, ...,
    include.implied.roots=TRUE, warning=TRUE)

roots.chs.eval (cx, cy, cb, ...,
    include.implied.roots=TRUE, warning=TRUE)
argmins.chs.eval (cx, cy, cb, ...,
    include.implied.roots=TRUE, warning=TRUE)
argmaxs.chs.eval (cx, cy, cb, ...,
    include.implied.roots=TRUE, warning=TRUE)
argflexs.chs.eval (cx, cy, cb, ...,
    include.implied.roots=TRUE, warning=TRUE)

chs.roots.derivative.eval (cx, cy, cb, ...,
    include.implied.roots=TRUE, warning=TRUE)

Arguments

cx	Vector of unique ascending control point x values. (Preferably, equally-spaced).
cy	Vector of control point y values.
cb	Vector of control slopes.
include.implied.roots	If true, include implied roots.
warning	If true, give a warning if there's relevant constant/level (or linear) sections.
...	Ignored.

Details

Refer to the help page for roots.chs, for more information.
(The functions described in that help page are similar to these functions).

These functions (with a .eval suffix) compute roots of cubic Hermite splines, without using function objects, and with minimal error checking.
Alternatively, you can use function objects, which are likely to be more convenient, in most cases.

References

Please refer to the help page for chs for background information and references.

See Also

chs, roots.chs

Examples

#control points
cx <- 1:4
cy <- c (1, -1, -1, 1)

#control slopes
cb <- chs.slopes (cx, cy)

#roots
#(without function object)
roots.chs.eval (cx, cy, cb)
argmins.chs.eval (cx, cy, cb)

kubik documentation built on April 15, 2021, 9:09 a.m.