### Spatial interaction functions for twinstim()

myexpectation <- function (siaf, intrfr, intrderivr, pargrid, type = 1, ...)
{
    ## check analytical intrfr specification against numerical approximation
    if (!missing(intrfr)) apply(pargrid, 1, function (pars) expect_silent(capture.output(
        polyCub::checkintrfr(intrfr, siaf$f, pars, type, center=c(0,0),
                              rs=c(1,2,5,10,20,50))
        )))

    ## also check intrfr for deriv
    if (!missing(intrderivr)) for (paridx in seq_along(intrderivr))
        apply(pargrid, 1, function (pars) expect_silent(capture.output(
            polyCub::checkintrfr(intrderivr[[paridx]],
                                  function (...) siaf$deriv(...)[,paridx],
                                  pars, type, center=c(0,0),
                                  rs=c(1,2,5,10,20,50))
            )))

    ## check deriv, F, Deriv against numerical approximations
    suppressMessages(
        checksiafres <- surveillance:::checksiaf(siaf, pargrid, type, ...)
    )
    for (i in which(!sapply(checksiafres, is.null)))
        expect_true(unique(attr(checksiafres[[i]], "all.equal")),
                    info = names(checksiafres)[i])
}


### test all pre-defined spatial interaction functions

test_that("Gaussian 'F.adaptive' implementation agrees with numerical approximation",
          myexpectation(siaf.gaussian(F.adaptive=0.05),  # Deriv uses polyCub.SV
                        pargrid=as.matrix(log(c(0.5, 1, 3))),
                        tolerance=0.01, method="midpoint", dimyx=150))

test_that("Gaussian iso-C-implementation agrees with numerical approximation",
          myexpectation(siaf.gaussian(F.adaptive=FALSE, F.method="iso"),
                        pargrid=as.matrix(log(c(0.5, 1, 3))),
                        tolerance=0.0005, method="SV", nGQ=25))

test_that("Exponential implementation agrees with numerical approximation",
          myexpectation(siaf.exponential(engine = "R"),
                        surveillance:::intrfr.exponential,
                        list(surveillance:::intrfr.exponential.dlogsigma),
                        pargrid=as.matrix(log(c(0.1, 1, 2))),
                        tolerance=0.0005, method="SV", nGQ=25))

test_that("Power-law implementation agrees with numerical approximation",
          myexpectation(siaf.powerlaw(engine = "R"),
                        surveillance:::intrfr.powerlaw,
                        list(surveillance:::intrfr.powerlaw.dlogsigma,
                             surveillance:::intrfr.powerlaw.dlogd),
                        pargrid=cbind(0.5,log(c(0.1,1,2))),
                        tolerance=0.0005, method="SV", nGQ=13))

test_that("1-parameter power-law agrees with numerical approximations",
          myexpectation(siaf.powerlaw1(sigma = exp(0.5)),
                        pargrid=as.matrix(log(c(0.1,1,2))),
                        tolerance=0.0005, method="SV", nGQ=13))

test_that("Lagged power-law implementation agrees with numeric results",
          myexpectation(siaf.powerlawL(engine = "R"),
                        surveillance:::intrfr.powerlawL,
                        list(surveillance:::intrfr.powerlawL.dlogsigma,
                             surveillance:::intrfr.powerlawL.dlogd),
                        pargrid=cbind(-0.5,log(c(0.1,1,2))),
                        tolerance=0.01, method="midpoint", dimyx=150))

test_that("Student implementation agrees with numerical approximation",
          myexpectation(siaf.student(engine = "R"),
                        surveillance:::intrfr.student,
                        list(surveillance:::intrfr.student.dlogsigma,
                             surveillance:::intrfr.student.dlogd),
                        pargrid=cbind(0.5,log(c(0.1,1,2))),
                        tolerance=0.0005, method="SV", nGQ=5))

test_that("Step kernel implementation agrees with numerical approximation",
          myexpectation(siaf.step(c(0.1,0.5,1)),
                        pargrid=-t(c(0.5,0.1,0.2)),
                        tolerance=0.01, method="midpoint", dimyx=150))


## ## plot the polygon on which F and Deriv are tested (to choose parameters)
## showsiaf <- function (siaf, pars) {
##     plotpolyf(LETTERR, siaf$f, pars, print.args=list(split=c(1,1,2,1), more=TRUE))
##     plotpolyf(LETTERR, function (...) siaf$deriv(...)[,1], pars, print.args=list(split=c(2,1,2,1)))
## }
## showsiaf(siaf.student(), c(0.5,-0.5))


### test new C-implementations of F and Deriv functions

expect_equal_CnR <- function (siafgen, pargrid)
{
    polydomain <- surveillance:::LETTERR
    siafR <- siafgen(engine = "R")
    siafC <- siafgen(engine = "C")
    ## check F
    resF <- apply(pargrid, 1, function (pars)
        c(C = siafC$F(polydomain, , pars),
          R = siafR$F(polydomain, , pars)))
    expect_equal(resF["C",], resF["R",],
                 info = "C-version of F (current) vs. R-version of F (target)")
    ## check Deriv
    resDeriv <- apply(pargrid, 1, function (pars)
        c(siafC$Deriv(polydomain, , pars),
          siafR$Deriv(polydomain, , pars)))
    p <- siafR$npars
    expect_equal(resDeriv[seq_len(p),], resDeriv[p+seq_len(p),],
                 info = "C-version of Deriv (current) vs. R-version of Deriv (target)")
}

test_that("siaf.exponential() engines agree", {
    expect_equal_CnR(siafgen = siaf.exponential,
                     pargrid = matrix(log(c(0.1,1,2))))
})

test_that("siaf.powerlaw() engines agree", {
    expect_equal_CnR(siafgen = siaf.powerlaw,
                     pargrid = cbind(0.5,log(c(0.1,1,2))))
})

test_that("siaf.student() engines agree", {
    expect_equal_CnR(siafgen = siaf.student,
                     pargrid = cbind(0.5,log(c(0.1,1,2))))
})

test_that("siaf.powerlawL() engines agree", {
    expect_equal_CnR(siafgen = siaf.powerlawL,
                     pargrid = cbind(-0.5,log(c(0.1,1,2))))
})