test_that("Output of function 'hMeanChiSq' stays the same.", {
    # set all possible parameters
    set.seed(42L)
    z <- rnorm(5L, mean = 0, sd = 2)
    w <- diff(sort(runif(n = length(z))))
    w <- c(w, 1 - sum(w))
    grid <- expand.grid(
        alternative = c("greater", "less", "two.sided", "none"),
        bound = c(TRUE, FALSE),
        stringsAsFactors = FALSE
    )
    out <- lapply(
        seq_len(nrow(grid)),
        function(i) {
            tryCatch({
                hMeanChiSq(
                    z = z,
                    w = w,
                    alternative = grid[i, "alternative"],
                    bound = grid[i, "bound"]
                )
            },
            warning = function(w) "warning!",
            error = function(e) "error!"
            )
        }
    )
    res <- list("> 0.03125", "> 0.03125", "> 0.0625", 0.0545824477857667,
                NaN, NaN, NaN, 0.0545824477857667)
    expect_equal(out, res)
})

test_that("Output of function 'hMeanChiSqMu' stays the same.", {
    # set all possible parameters
    set.seed(42L)
    n <- 5L
    thetahat <- rnorm(n, mean = 0, sd = 2)
    se <- abs(rnorm(n, mean = 0, sd = 0.5))
    w <- diff(sort(runif(n = length(thetahat))))
    w <- c(w, 1 - sum(w))
    grid <- expand.grid(
        mu = seq(-4, 4, length.out = n),
        alternative = c("greater", "less", "two.sided", "none"),
        bound = c(TRUE, FALSE),
        stringsAsFactors = FALSE
    )
    out <- lapply(
        seq_len(nrow(grid)),
        function(i) {
            tryCatch({
                hMeanChiSqMu(
                    thetahat = thetahat,
                    se = se,
                    w = w,
                    mu = grid[i, "mu"],
                    alternative = grid[i, "alternative"],
                    bound = grid[i, "bound"]
                )
            },
            warning = function(w) "warning!",
            error = function(e) "error!"
            )
        }
    )
    res <- list(
        1.52012950343536e-16, 0.000510817026605097, "> 0.03125",
        "> 0.03125", "> 0.03125", "> 0.03125", "> 0.03125", "> 0.03125",
        "> 0.03125", 9.32413128951708e-36, 3.04025900687072e-16,
        0.00102163405321019, "> 0.0625", "> 0.0625", 1.86482625790342e-35,
        4.86441441099315e-15, 0.0163461448513631, 0.00262344261357555,
        2.2240791037915e-07, 2.98372201264547e-34, 1.52012950343536e-16,
        0.000510817026605097, NaN, NaN, 9.32413128951708e-36, 1.52012950343536e-16,
        0.000510817026605097, NaN, NaN, 9.32413128951708e-36, 3.04025900687072e-16,
        0.00102163405321019, NaN, NaN, 1.86482625790342e-35, 4.86441441099315e-15,
        0.0163461448513631, 0.00262344261357555, 2.2240791037915e-07,
        2.98372201264547e-34
    )
    expect_equal(out, res)
})

test_that("Output of function 'hMeanChiSqCI' stays the same.", {
    # set all possible parameters
    set.seed(42L)
    n <- 5L
    thetahat <- rnorm(n, mean = 0, sd = 2)
    se <- abs(rnorm(n, mean = 0, sd = 0.5))
    w <- diff(sort(runif(n = length(thetahat))))
    w <- c(w, 1 - sum(w))
    grid <- expand.grid(
        alternative = c("greater", "less", "two.sided", "none"),
        conf.level = seq(1e-4, 0.99999, length.out = 5L),
        stringsAsFactors = FALSE
    )
    out <- lapply(
        seq_len(nrow(grid)),
        function(i) {
            tryCatch({
                hMeanChiSqCI(
                    thetahat = thetahat,
                    se = se,
                    w = w,
                    conf.level = grid[i, "conf.level"],
                    alternative = grid[i, "alternative"]
                )
            },
            warning = function(w) "warning!",
            error = function(e) "error!"
            )
        }
    )
    res <- list(
        "error!", "error!", "error!", list(CI = structure(c(-1.12947482273488,
        0.726256822674678, 0.808536646281998, 1.26572520992208, 2.74191689429334,
        -1.12933530763593, 0.726256822674678, 0.808536646281998, 1.26572520992208,
        2.74191689429334), dim = c(5L, 2L), dimnames = list(NULL, c("lower",
        "upper"))), gamma = structure(c(0.49104940828295, 0.766213563663337,
        0.863109314098832, 2.56562031022734, 0.00019226765301783, 0.00404570139122806,
        0.00433382604234844, 2.62678767626312e-13), dim = c(4L, 2L), dimnames = list(
        NULL, c("minimum", "pvalue_fun/gamma")))), "error!", "error!",
        "error!", list(CI = structure(c(-1.24458150755288, 0.724541017301334,
        0.806858917246145, 1.22956016953639, 2.73974478977365, -1.01422092217333,
        0.727965019949169, 0.810211807454827, 1.30188786760578, 2.74411028530823
        ), dim = c(5L, 2L), dimnames = list(NULL, c("lower", "upper"
        ))), gamma = structure(c(0.491049408282982, 0.766213563663337,
        0.863109314098832, 2.56562031022734, 0.00019226765301783,
        0.00404570139122806, 0.00433382604234844, 2.62678767626312e-13
        ), dim = c(4L, 2L), dimnames = list(NULL, c("minimum", "pvalue_fun/gamma"
        )))), "error!", "error!", "error!", list(CI = structure(c(-1.37322842110802,
        0.722580669258802, 0.804910218000078, 1.1888288547464, 2.7372509370574,
        -0.885511976838297, 0.729932048714472, 0.812157206496657,
        1.34256073642529, 2.74657617456907), dim = c(5L, 2L), dimnames = list(
            NULL, c("lower", "upper"))), gamma = structure(c(0.491049408270793,
        0.766213563663337, 0.863109314098832, 2.56486895629396, 0.00019226765301783,
        0.00404570139122812, 0.00433382604234844, 2.62623256475081e-13
        ), dim = c(4L, 2L), dimnames = list(NULL, c("minimum", "pvalue_fun/gamma"
        )))), "error!", "error!", "error!", list(CI = structure(c(-1.54550341420228,
        0.719737163123303, 0.80208889676882, 1.13303791508737, 2.73391832659274,
        -0.712827412569692, 0.732788404066133, 0.81501441146915,
        1.397910733261, 2.74993579714762), dim = c(5L, 2L), dimnames = list(
            NULL, c("lower", "upper"))), gamma = structure(c(0.491049408268947,
        0.766213563663337, 0.863109314098832, 2.56476756782044, 0.000192267653017802,
        0.00404570139122812, 0.00433382604234844, 2.62623256475081e-13
        ), dim = c(4L, 2L), dimnames = list(NULL, c("minimum", "pvalue_fun/gamma"
        )))), list(CI = structure(c(-2.43763307622691, Inf), dim = 1:2, dimnames = list(
            NULL, c("lower", "upper")))), list(CI = structure(c(-Inf,
        2.76933301613503), dim = 1:2, dimnames = list(NULL, c("lower",
        "upper")))), list(CI = structure(c(-2.50230084038932, 2.77102063017006
        ), dim = 1:2, dimnames = list(NULL, c("lower", "upper")))),
        list(CI = structure(c(-2.73810412117517, 2.70575276470872,
        1.85872550562387, 2.77765886818584), dim = c(2L, 2L), dimnames = list(
            NULL, c("lower", "upper"))), gamma = structure(c(0.491049408272113,
        0.766213563663337, 0.863109314098832, 2.56442192247056, 0.000192267653017805,
        0.00404570139122811, 0.00433382604234846, 2.62627986307058e-13
        ), dim = c(4L, 2L), dimnames = list(NULL, c("minimum", "pvalue_fun/gamma"))))
    )
    expect_equal(out, res)
})