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## This example illustrated use of RcppGSL using the 'Rcpp attributes' feature
##
## The example comes from Section 39.7 of the GSL Reference manual, and constructs
## a data set from the curve y(x) = \cos(x) \exp(-x/10) on the interval [0, 15] with
## added Gaussian noise --- which is then fit via linear least squares using a cubic
## B-spline basis functions with uniform breakpoints.
##
## Obviously all this could be done in R too as R can both generate data, and fit
## models including (B-)splines. But the point to be made here is that we can very
## easily translate a given GSL program (thanks to RcppGSL), and get it into R with
## ease thanks to Rcpp and Rcpp attributes.
require(Rcpp) # load Rcpp
sourceCpp("bSpline.cpp") # compile two functions
dat <- genData() # generate the data
fit <- fitData(dat) # fit the model, returns matrix and gof measures
X <- fit[["X"]] # extract vectors
Y <- fit[["Y"]]
op <- par(mar=c(3,3,1,1))
plot(dat[,"x"], dat[,"y"], pch=19, col="#00000044")
lines(X, Y, col="orange", lwd=2)
par(op)
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