adsimp: Internal functions for adaptIntegrateSimplex.

In SimplicialCubature: Integration of Functions Over Simplices

Description

adsimp is a translation of Alan Genz's matlab program adsimp.m to adaptively integrate over a simplex. The other functions listed below are all called by adsimp. These functions are used internally; use at your own risk.

Usage

adsimp(ND, VRTS, NF, F, MXFS, EA, ER, KEY, partitionInfo = FALSE )
adsimp.return.message( rcode )
SMPCHC(ND, NF, MXFS, EA, ER, SBS, KEY)
SMPDFS(ND, NF, F, TOP, SBS, VRTS)
SMPRMS(N, KEY)
SMPRUL(ND, VRTS, VOL, NF, F, G, W, PTS)
SMPSAD(ND, NF, F, MXFS, EA, ER, KEY, RCLS, SBS, VRTS, partitionInfo )
SMPSMS(N, VERTEX, NF, F, G)

Arguments

ND, N	dimension of the space
VRTS, VERTEX	array specifying the simplices
NF	dimension of the function; F(x) has NF coordinates
F	a function of ND variables, value F(x) has NF coordinates
rcode	an integer return code from adsimp
MXFS	maximum number of function evaluations allowed
EA	requested absolute error
ER	requested relative error
KEY	integration rule
partitionInfo	TRUE or FALSE, controls whether or not the function returns information about the final partition. See the comments in function adaptIntegrateSimplex().
SBS	number of subsimplices
TOP	pointer to a subsimplex
VOL	volume of a simplex
G	generators for integration rule
W	weights for an integration rule
PTS	points in an integration rule
RCLS	number of terms in an integration rule

Value

Not meant to be used directly, these functions are generally called from function adaptIntegrateSimplex(...).

See Also

adaptIntegrateSimplex

SimplicialCubature documentation built on Jan. 8, 2021, 5:40 p.m.