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$Header$
This directory contains code for Lagrange polynomial interpolation,
using the maximum-degree definition for multiple dimensions.
makefile
This has targets to create the subdirectories for the
Maple-generated coefficient files, and to run Maple to
generated those files.
make.code.defn
This tells the Cactus build system which files to compile.
[123]d.maple
These files contain the Maple code to generate the interpolation
coefficients.
fns.maple
These files define the interpolation functions, coefficients, etc,
for the Maple code in [123]d.maple
[123]d.cube.order?.smooth?.c
These files are the individual cases for the interpolation.
Each file defines a separate function. Each file just #defines
a bunch of macros, then #includes "../template.c" to get the
actual interpolation code. Unfortunately, the ISO C standard
only guarantees 31 characters for function names (in fact, it
doesn't even guarantee that for external names -- they may be
limited by a system linker -- but I quietly ignore that and
assume I can use 31), so the functions are named in a somewhat
cryptic manner:
123456789 123456789 123456789 1
LocalInterp_U_LagrMD_1dcube_10
LocalInterp_U_LagrMD_1dcube_20
LocalInterp_U_LagrMD_1dcube_30
LocalInterp_U_LagrMD_1dcube_40
LocalInterp_U_LagrMD_1dcube_50
LocalInterp_U_LagrMD_1dcube_60
LocalInterp_U_LagrMD_2dcube_10
LocalInterp_U_LagrMD_2dcube_20
LocalInterp_U_LagrMD_2dcube_30
LocalInterp_U_LagrMD_2dcube_40
LocalInterp_U_LagrMD_3dcube_10
LocalInterp_U_LagrMD_3dcube_20
LocalInterp_U_LagrMD_3dcube_30
LocalInterp_U_LagrMD_3dcube_40
The naming convention is as follows (eg for the last function)
LocalInterp name of this thorn
U these functions are all for the
CCTK_InterpLocalUniform() API
LagrMD these functions are all for the
"Lagrange polynomial interpolation (maximum degree)"
interpolation operator
3d this function does 3-d interpolation
cube this function uses a cube-shaped
interpolation molecule
4 this function does 4th order interpolation
0 this function does smoothing=0 interpolation
all_prototypes.h
This file contains C prototypes for each of the functions
in [123]d.cube.order?.smooth0.c.
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