tests/tests.R

In partialAR: Partial Autoregression

all.tests.pass <- TRUE
all.tests.error.count <- 0

test <- function(expr, out="", val=eval.parent(parse(text=expr), 1), tol=1e-4) {
    # expr is a string representing an R expression, and
    # out is the output that is expected.  Prints and evaluates
    # expr.  If out is given and it matches the output of
    # evaluating expr, returns TRUE.  Otherwise, returns FALSE.
    
    cat(expr, "-> ")
    
    p <- function (v) {
        if (length(v) < 5) {
            cat(v)
        } else {
            cat(class(v), "(", length(val), ")")
        }
    }
    p(val)
        
    result <- all.equal(val, out, tolerance=tol)
    if (!isTRUE(result)) {
        if (!missing(out)) {
            cat(" (Expecting ")
            p(out)
            cat(")")
        }
        cat("\nERROR: ", result, "\n")
        all.tests.pass <<- FALSE
        all.tests.error.count <<- all.tests.error.count + 1
    } else {
        cat(" OK\n")
    }
    
    isTRUE(result)
}

assert <- function (expr, out) {
    # expr is astring representing an R expression,
    # and out is the output that is expected.  Prints
    # and evaluates expr.  If out matches the output of
    # evaluating expr, returns TRUE.  Otherwise, stops
    # the execution with an error message.
    if (!test(expr, out)) {
        stop("Expression ", deparse(substitute(expr)), 
             " does not evaluate to its expected value\n")
    }
}

build_par <- function (rho, eps_M, eps_R, R0=0, M0=0) {
    R <- R0
    M <- M0
    X <- numeric()
    for (i in 1:length(eps_M)) {
        M <- rho * M + eps_M[i]
        R <- R + eps_R[i]
        X[i] <- M + R
    }
    X
}

data.L <- structure(c(37.8517816659277, 37.3893346323175, 37.4385311252548, 
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data.IBM <- structure(c(176.668606104443, 175.947896814914, 175.113391321774, 
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191.081599736325, 190.495960506866, 191.331216457077, 191.062398450113, 
190.37115214649, 190.476759220654, 192.819316138489, 193.184140576512, 
192.492894272889, 190.716775298301, 189.372685263478, 187.884585582067, 
189.871918704984, 187.874984938961, 187.087732204279, 187.289345709502, 
185.647635738397, 187.068530918067, 186.770910981785, 187.250943137079, 
191.148804238066, 191.532829962301, 192.924923212654, 195.152272413218, 
195.632304568512, 198.118871132934, 198.550900072699, 198.877321938299, 
198.800516793452, 198.186075634676, 197.946059557029, 197.754046694911, 
197.091602320605, 196.793982384323, 195.853119359947, 197.68684219317, 
199.165341231475, 202.064735449451, 201.459894933781, 202.103138021875, 
201.987930304604, 202.179943166722, 201.440693647569, 199.683775959193, 
197.600436405217, 197.542832546582, 199.501363740181, 200.586236411146, 
202.573569534063, 192.617702633265, 187.174137992232, 185.638035095291, 
186.636501978302, 183.61229939995, 183.103465315339, 183.948321908656, 
185.551629307338, 186.761310338679, 189.276678832419, 185.705239597032, 
186.386885257549, 187.279745066396, 184.329091066277, 183.306969092379, 
182.863406726348, 182.487342981235, 181.590575589042, 178.8809880922, 
179.208838536658, 180.259888490949, 183.548035595657, 182.43912968058, 
183.49017963487, 186.575830876825, 185.987628608828, 184.396589687195, 
185.119789197028, 184.685869491128, 183.278041111986, 182.709124164251, 
182.593412242677, 181.908783373369, 182.921262687135, 185.090861216635, 
185.736919445419, 187.260459746134, 186.055127229745, 185.129431857159, 
184.907650674143, 186.70118545853, 188.697216105669, 188.109013837672, 
187.810091373607, 186.508332255908, 185.524780922534, 185.090861216635, 
185.823703386599, 183.046617268839, 184.70515481139, 189.333631674322, 
188.292224380163, 187.057963883381, 186.238337772236, 185.977985948697, 
185.447639641486, 185.987628608828, 187.501526249412, 185.736919445419, 
185.621207523845, 185.707991465025, 186.730113438923, 187.520811569674, 
189.073279850782, 197.404538204061, 197.115258400127, 197.645604707338, 
197.607034066814, 196.61384007331, 196.247418988327, 195.813499282428, 
197.848100570092, 196.507770811867, 195.543504798757, 194.652646006963, 
193.413190296641, 195.291740357597, 193.81988670159, 193.703687728747, 
193.752103967432, 193.326041067009, 194.613913016015, 193.97481866538, 
192.996810643954, 192.047852365739, 194.720428741121, 191.253826051314, 
192.832195432427, 195.921151460495, 194.468664299962, 196.482779829235, 
198.690560313246, 199.988115509989, 201.779516341314, 202.78657410595, 
203.716165888692, 203.425668456585, 203.880781100219, 205.342951508489, 
208.964486162086, 208.11236036124, 206.456524998232, 206.67923969618, 
208.247925829556, 205.536616463227, 205.362318003963, 204.06476280722, 
205.633448940596, 204.210011523273, 206.543674227864, 205.65281543607, 
207.570098487974, 205.923946372703, 204.616707928222, 202.776890858213, 
202.689741628581, 202.592909151212, 205.284852022068, 206.175710813862, 
204.684490662381, 202.63164214216, 205.284852022068, 203.028655299372, 
200.588476869676, 183.98170700091, 181.880442242005, 185.540709886549, 
185.637542363918, 187.806589856981, 188.155186775509, 192.841878680164, 
196.12449966297, 193.306674571535, 195.979250946917, 198.032099467137, 
196.356897608655, 197.179973666291, 199.261901550867, 197.724777224872, 
198.921399326754, 196.975672331823, 197.695591319948, 197.802606304669, 
199.135429296196, 202.783667411692, 201.966462073821, 202.987968746159, 
201.373015340367, 200.565538637471, 200.137478698586, 202.141577503365, 
202.27777839301, 203.67870182936, 202.375064742756, 203.279827795399, 
200.594724542395, 197.238345476139, 198.269580783452, 200.750382701989, 
199.45647425036, 198.444696212996, 195.740135690042, 198.240394878528, 
196.712999187508, 197.530204525378, 199.31054472574, 196.460054678167, 
191.9946112248, 190.155899214591, 188.288001299457, 189.688924735807, 
189.572181116111, 190.340743279109, 185.923943000616, 186.089329795185, 
186.303359764628, 188.005870885192, 189.640281560934, 189.688924735807, 
186.108787065134, 187.033007387727, 187.568082311333, 186.857891958183, 
188.735518508291, 188.589588983671, 189.270593431897, 192.617243863178, 
188.288001299457, 188.823076223063, 189.688924735807, 191.274692236676, 
191.86813897013, 191.9946112248, 190.88554683769, 190.690974138197, 
189.747296545655, 190.496401438704, 189.864040165351, 190.194813754489, 
185.80719938092, 184.36016373009, 183.744195851696, 183.636645904675, 
184.878358929374, 184.223281979336, 183.353105135256, 181.651860518739, 
181.211883462743, 180.126606724621, 180.449256565684, 180.742574603015, 
181.065224444078, 181.290101606031, 180.625247388082, 178.66979380588, 
178.102712267041, 178.572021126769, 178.210262214062, 179.862620491023, 
179.051107254409, 180.048388581333, 178.953334575299, 180.859901817947, 
182.443819219531, 186.452499063047, 186.48183086678, 187.889757445966, 
188.847929701246, 187.879980178055, 190.089642725945, 189.08258413111, 
185.787644845098, 186.736039832467, 185.738758505543, 185.249895109992, 
185.983190203318, 182.756691792684, 181.055447176167, 182.228719325489, 
180.840347282125, 179.764847811913, 179.999502241778, 177.956053248376, 
174.739332105652, 177.281421762516, 180.654579191816, 182.013619431447, 
182.805578132239, 180.547029244794, 182.570923702374, 170.935974888267, 
169.909361757611, 169.009853109797, 171.072856639021, 171.855038071902, 
173.839823457838, 172.910983006292, 173.399846401843, 178.063603195397, 
176.137481416927, 175.218418233291, 175.237972769113, 176.254808631859, 
173.888709797393, 176.139728143555, 176.935939872984, 176.926110098546, 
179.766914910951, 179.953680625262, 180.425509798257, 179.108320023647, 
180.071637918511, 181.329849046496, 182.096571452612, 182.037592805988, 
180.995636715625, 178.213810549844, 175.893983782621, 174.291730549326, 
175.923473105933, 176.621387090987, 174.458836714762, 173.082668293528, 
172.748455962656, 173.082668293528, 174.645602429072, 174.439177165887, 
174.104964835016, 172.217648143038, 170.418799420996, 169.858502278064, 
174.822538368945, 172.768115511531, 175.658069196123, 177.152194910606, 
176.955599421859, 179.127979572521, 180.101127241823, 182.194869196986, 
181.929465287177, 183.236825287349, 184.377079122086), .Dim = c(502L, 
1L), .Dimnames = list(NULL, "IBM"), index = structure(c(15342, 
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15357, 15358, 15359, 15362, 15363, 15364, 15365, 15366, 15369, 
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15972, 15973, 15974, 15975, 15978, 15979, 15980, 15981, 15982, 
15985, 15986, 15987, 15988, 15989, 15992, 15993, 15994, 15995, 
15996, 15999, 16000, 16001, 16002, 16003, 16006, 16007, 16008, 
16009, 16010, 16013, 16014, 16015, 16016, 16017, 16020, 16021, 
16022, 16023, 16024, 16027, 16028, 16029, 16030, 16031, 16034, 
16035, 16036, 16038, 16041, 16042, 16043, 16044, 16045, 16048, 
16049, 16050, 16051, 16052, 16055, 16056, 16057, 16058, 16059, 
16062, 16063, 16065, 16066, 16069, 16070), class = "Date"), class = "zoo")

test_cfit <- function (fast_only=FALSE) {
    test("partialAR:::estimate_rho_par_c(numeric())", NA_real_)
    test("partialAR:::estimate_rho_par_c(rep(0,5))", NaN)    
    x1 <- build_par(0.95, rep(0,10), rep(0,10), M0=1)
    test("partialAR:::estimate_rho_par_c(x1)", 0.8497954230236)
    x1na <- x1
    x1na[1] <- NA
    test("partialAR:::estimate_rho_par_c(x1na)", NA_real_)
    
    test("partialAR:::estimate_par_c(numeric())", c(NA_real_, NA_real_, NA_real_))
    test("partialAR:::estimate_par_c(rep(0,5))", c(NaN, NaN, NaN))
    test("partialAR:::estimate_par_c(x1)", c(0.849795423024, 0, 0.00624752527433))
    test("partialAR:::estimate_par_c(x1na)", c(NA_real_, NA_real_, NA_real_))
  
    test("partialAR:::pvmr_par_c(0,0,0)", NA_real_)
    test("partialAR:::pvmr_par_c(-1,1,0)", 1)
    test("partialAR:::pvmr_par_c(1,-1,0)", NA_real_)
    test("partialAR:::pvmr_par_c(1,1,-1)", NA_real_)
    test("partialAR:::pvmr_par_c(0,0,1)", 0)
    test("partialAR:::pvmr_par_c(0,1,0)", 1)
    test("partialAR:::pvmr_par_c(0,1,1)", 2/3)
    test("partialAR:::pvmr_par_c(0.5,1,1)", 0.571428571429)
    test("partialAR:::pvmr_par_c(0.5,1,2)", 0.25)
    test("partialAR:::pvmr_par_c(0.5,0.5,1)", 0.25) 
        
    test("partialAR:::kalman_gain_par_mr(0,0,0)", NA_real_)
    test("partialAR:::kalman_gain_par_mr(0,1,0)", 1)
    test("partialAR:::kalman_gain_par_mr(0,0,1)", 0)
    test("partialAR:::kalman_gain_par_mr(0.5,1,1)", 1/3)
    
    test("partialAR:::loglik_par_c(numeric(),0,0,1,0,0)", NA_real_)
    test("partialAR:::loglik_par_c(0,0,0,1,0,0)", 0.918938533205)
    test("partialAR:::loglik_par_c(c(0,0,0),0,0,1,0,0)", 2.75681559961)
    test("partialAR:::loglik_par_c(1,0,0,1,0,0)", 1.4189385332)
    test("partialAR:::loglik_par_c(0,0,1,0,0,0)", 0.918938533205)
    test("partialAR:::loglik_par_c(c(0,0,0),0,1,0,0,0)", 2.75681559961)
    test("partialAR:::loglik_par_c(c(0,0,0),0.5,1,0,0,0)", 2.75681559961)
    test("partialAR:::loglik_par_c(c(0,1,2),0,0,1,0,1)", 4.25681559961)
    test("partialAR:::loglik_par_c(0.5,0.5,1,0,1,0)", 0.918938533205)
    test("partialAR:::loglik_par_c(data.L, 0.8720, 0.3385, 0.1927, 0, data.L[1])", 238.533361432)
    test("partialAR:::loglik_par_c(data.IBM, 0.9764, 2.0136, 0.4719, 0, data.IBM[1])", 1076.5235347)
    
    test("partialAR:::loglik_par_t_c(numeric(),0,0,1,0,0)", NA_real_)
    test("partialAR:::loglik_par_t_c(0,0,0,1,0,0)", 0.968619589055)
    test("partialAR:::loglik_par_t_c(c(0,0,0),0,0,1,0,0)", 2.90585876716)
    test("partialAR:::loglik_par_t_c(1,0,0,1,0,0)", 1.51558425944)
    test("partialAR:::loglik_par_t_c(0,0,1,0,0,0)", 0.968619589055)
    test("partialAR:::loglik_par_t_c(c(0,0,0),0,1,0,0,0)", 2.90585876716)
    test("partialAR:::loglik_par_t_c(c(0,0,0),0.5,1,0,0,0)", 2.90585876716)
    test("partialAR:::loglik_par_t_c(c(0,1,2),0,0,1,0,1)", 4.54675277831)
    test("partialAR:::loglik_par_t_c(0.5,0.5,1,0,1,0)", 0.968619589055)
    test("partialAR:::loglik_par_t_c(0,0,0,1,0,0,6)", 0.960418255752)  
    test("partialAR:::loglik_par_t_c(data.L, 0.8958, 0.2612, 0.1768, 0, data.L[1])", 229.807616531)
    test("partialAR:::loglik_par_t_c(data.IBM, 0.9829, 1.3072, 0.6901, 0, data.IBM[1])", 1020.88295106)
      
}


test_lr <- function (fast_only=FALSE) {
    test("partialAR:::loglik.par.kfas(numeric(),0,0,1,0,0)", NA_real_)
    test("partialAR:::loglik.par.kfas(0,0,0,1,0,0)", 0.918938533205)
    test("partialAR:::loglik.par.kfas(c(0,0,0),0,0,1,0,0)", 2.75681559961)
    test("partialAR:::loglik.par.kfas(1,0,0,1,0,0)", 1.4189385332)
    test("partialAR:::loglik.par.kfas(0,0,1,0,0,0)", 0.918938533205)
    test("partialAR:::loglik.par.kfas(c(0,0,0),0,1,0,0,0)", 2.75681559961)
    test("partialAR:::loglik.par.kfas(c(0,0,0),0.5,1,0,0,0)", 2.75681559961)
    test("partialAR:::loglik.par.kfas(c(0,1,2),0,0,1,0,1)", 4.25681559961)
    test("partialAR:::loglik.par.kfas(0.5,0.5,1,0,1,0)", 1.0439385332)  # Note difference
    test("partialAR:::loglik.par.kfas(data.L, 0.8720, 0.3385, 0.1927)", 238.53374143)
    test("partialAR:::loglik.par.kfas(data.IBM, 0.9764, 2.0136, 0.4719, 0, data.IBM[1])", 1077.02787353)

    test("partialAR:::loglik.par.ss(numeric(),0,0,1,0,0)", NA_real_)
    test("partialAR:::loglik.par.ss(0,0,0,1,0,0)", 0.918938533205)
    test("partialAR:::loglik.par.ss(c(0,0,0),0,0,1,0,0)", 2.75681559961)
    test("partialAR:::loglik.par.ss(1,0,0,1,0,0)", 1.4189385332)
    test("partialAR:::loglik.par.ss(0,0,1,0,0,0)", 0.918938533205)
    test("partialAR:::loglik.par.ss(c(0,0,0),0,1,0,0,0)", 2.75681559961)
    test("partialAR:::loglik.par.ss(c(0,0,0),0.5,1,0,0,0)", 2.75681559961)
    test("partialAR:::loglik.par.ss(c(0,1,2),0,0,1,0,1)", 4.25681559961)
    test("partialAR:::loglik.par.ss(0.5,0.5,1,0,1,0)", 0.918938533205)
    test("partialAR:::loglik.par.ss(data.L, 0.8720, 0.3385, 0.1927, 0, data.L[1])", 238.533361432)
    test("partialAR:::loglik.par.ss(data.IBM, 0.9764, 2.0136, 0.4719)", 1076.5235347)

    test("partialAR:::loglik.par.ss.t(numeric(),0,0,1,0,0)", NA_real_)
    test("partialAR:::loglik.par.ss.t(0,0,0,1,0,0)", 0.968619589055)
    test("partialAR:::loglik.par.ss.t(c(0,0,0),0,0,1,0,0)", 2.90585876716)
    test("partialAR:::loglik.par.ss.t(1,0,0,1,0,0)", 1.51558425944)
    test("partialAR:::loglik.par.ss.t(0,0,1,0,0,0)", 0.968619589055)
    test("partialAR:::loglik.par.ss.t(c(0,0,0),0,1,0,0,0)", 2.90585876716)
    test("partialAR:::loglik.par.ss.t(c(0,0,0),0.5,1,0,0,0)", 2.90585876716)
    test("partialAR:::loglik.par.ss.t(c(0,1,2),0,0,1,0,1)", 4.54675277831)
    test("partialAR:::loglik.par.ss.t(0.5,0.5,1,0,1,0)", 0.968619589055)
    test("partialAR:::loglik.par.ss.t(0,0,0,1,0,0,6)", 0.960418255752)    
    test("partialAR:::loglik.par.ss.t(data.L, 0.8958, 0.2612, 0.1768, 0, data.L[1])", 229.807616531)
    test("partialAR:::loglik.par.ss.t(data.IBM, 0.9829, 1.3072, 0.6901, 0, data.IBM[1])", 1020.88295106)

    test("partialAR:::loglik.par(data.L, 0.8720, 0.3385, 0.1927)", 238.533361432)
    test("partialAR:::loglik.par(data.L, 0.8720, 0.3385, 0.1927, calc_method=\"css\")", 238.533361432)
    test("partialAR:::loglik.par(data.L, 0.8720, 0.3385, 0.1927, calc_method=\"kfas\")", 238.53374143)
    test("partialAR:::loglik.par(data.L, 0.8720, 0.3385, 0.1927, calc_method=\"ss\")", 238.533361432)
    test("partialAR:::loglik.par(data.L, 0.8958, 0.2612, 0.1768, calc_method=\"sst\")", 229.807616531)
    test("partialAR:::loglik.par(data.L, 0.8958, 0.2612, 0.1768, calc_method=\"csst\")", 229.807616531)
}

test.likelihood_ratio.par <- function (fast_only=FALSE) {
    test("partialAR:::likelihood_ratio.par(data.L)", -4.44824727945)
    test("partialAR:::likelihood_ratio.par(data.L, robust=TRUE)", -2.64805301476)
    test("partialAR:::likelihood_ratio.par(data.L, null_model='rw')", -4.44824727945)
    test("partialAR:::likelihood_ratio.par(data.L, null_model='rw', robust=TRUE)", -2.64805301476)
    test("partialAR:::likelihood_ratio.par(data.L, null_model='ar1')", -4.44824693057)
    test("partialAR:::likelihood_ratio.par(data.L, null_model='ar1', robust=TRUE)", -2.6480522184)

    if (!fast_only) test("partialAR:::likelihood_ratio.par(data.L, opt_method='ss')", -4.44824727945)
    if (!fast_only)  test("partialAR:::likelihood_ratio.par(data.L, robust=TRUE, opt_method='ss')", -2.64805301476)
    if (!fast_only)  test("partialAR:::likelihood_ratio.par(data.L, null_model='rw', opt_method='ss')", -4.44824727945)
    if (!fast_only)  test("partialAR:::likelihood_ratio.par(data.L, null_model='rw', robust=TRUE, opt_method='ss')", -2.64805301476)
    if (!fast_only)  test("partialAR:::likelihood_ratio.par(data.L, null_model='ar1', opt_method='ss')", -4.44824693057)
    if (!fast_only)  test("partialAR:::likelihood_ratio.par(data.L, null_model='ar1', robust=TRUE, opt_method='ss')", -2.6480522184)
    
    test("partialAR:::likelihood_ratio.par(data.L, opt_method='css')", -4.44824727945)
    test("partialAR:::likelihood_ratio.par(data.L, robust=TRUE, opt_method='css')", -2.64805301476)
    test("partialAR:::likelihood_ratio.par(data.L, null_model='rw', opt_method='css')", -4.44824727945)
    test("partialAR:::likelihood_ratio.par(data.L, null_model='rw', robust=TRUE, opt_method='css')", -2.64805301476)
    test("partialAR:::likelihood_ratio.par(data.L, null_model='ar1', opt_method='css')", -4.44824693057)
    test("partialAR:::likelihood_ratio.par(data.L, null_model='ar1', robust=TRUE, opt_method='css')", -2.6480522184)

    if (!fast_only) test("partialAR:::likelihood_ratio.par(data.L, opt_method='kfas')", -4.59676088358)
    if (!fast_only) test("partialAR:::likelihood_ratio.par(data.L, null_model='rw', opt_method='kfas')", -4.59676088358)
    if (!fast_only) test("partialAR:::likelihood_ratio.par(data.L, null_model='ar1', opt_method='kfas')", -4.5967605347)

    SAMPLES <- partialAR:::sample.likelihood_ratio.par(nrep=10, use.multicore=FALSE)
    test("nrow(SAMPLES)", 10)
    test("sum(SAMPLES$seed)", 55)
    test("mean(SAMPLES$rw_lrt)", -4.43576369917)
    test("mean(SAMPLES$mr_lrt)", -3.8960913155)
    test("mean(SAMPLES$kpss_stat)", 3.7269871366)
}

test_lr2 <- function(fast_only=FALSE) {    
    test.likelihood_ratio.par(fast_only)

    test("partialAR:::par.rw.pvalue(-3.5,400) < 0.05", TRUE)
    test("partialAR:::par.rw.pvalue(-1,500) > 0.10", TRUE)
    test("partialAR:::par.mr.pvalue(-1,600) < 0.05", TRUE)
    test("partialAR:::par.mr.pvalue(-0.1, 700) > 0.05", TRUE)
    test("partialAR:::par.rw.pvalue(-3.5,400, robust=TRUE) < 0.05", TRUE)
    test("partialAR:::par.rw.pvalue(-1,500, robust=TRUE) > 0.10", TRUE)
    test("partialAR:::par.mr.pvalue(-1,600, robust=TRUE) < 0.05", TRUE)
    test("partialAR:::par.mr.pvalue(-0.1, 700, robust=TRUE) > 0.05", TRUE)

    test("partialAR:::par.mr.pvalue(-2,400,ar1test='kpss') < 0.05", TRUE)
    test("partialAR:::par.mr.pvalue(-0.5, 500,ar1test='kpss') > 0.05", TRUE)
    test("partialAR:::par.mr.pvalue(-2,600, robust=TRUE,ar1test='kpss') < 0.05", TRUE)
    test("partialAR:::par.mr.pvalue(-0.5, 700, robust=TRUE,ar1test='kpss') > 0.05", TRUE)

    test("partialAR:::par.joint.pvalue(-4,-0.5,500) < 0.05", TRUE)
    test("partialAR:::par.joint.pvalue(-1,-0.25,500) > 0.05", TRUE)
    test("partialAR:::par.joint.pvalue(-5,-0.8,500, robust=TRUE) < 0.05", TRUE)
    test("partialAR:::par.joint.pvalue(-3,-0.1,500, robust=TRUE) > 0.05", TRUE)
    test("partialAR:::par.joint.pvalue(-5,-2,500, ar1test='kpss') < 0.05", TRUE)
    test("partialAR:::par.joint.pvalue(-3,-1,500, ar1test='kpss') > 0.05", TRUE)
    test("partialAR:::par.joint.pvalue(-4,-0.5,50000)", 0.03)
    test("partialAR:::par.joint.pvalue(-4,-0.5,50)", 0.10)
    test("partialAR:::par.joint.pvalue(4,-0.5,50)", 1)
    test("partialAR:::par.joint.pvalue(-4,-0.5,49)", 1)

    test("partialAR:::test.par.nullrw(data.L)$p.value < 0.05", TRUE)
    test("partialAR:::test.par.nullrw(data.IBM)$p.value > 0.05", TRUE)
    test("partialAR:::test.par.nullrw(data.L, robust=TRUE)$p.value < 0.10", TRUE)
    test("partialAR:::test.par.nullrw(data.IBM, robust=TRUE)$p.value > 0.10", TRUE)

    test("partialAR:::test.par.nullmr(data.L)$p.value <= 0.01", TRUE)
    test("partialAR:::test.par.nullmr(data.L, robust=TRUE)$p.value <= 0.01", TRUE)
    test("partialAR:::test.par.nullmr(data.L, ar1test='kpss')$p.value <= 0.01", TRUE)
    test("partialAR:::test.par.nullmr(data.L, robust=TRUE, ar1test='kpss')$p.value <= 0.01", TRUE)
    
    test("partialAR:::test.par.nullmr(data.IBM)$p.value < 0.05", TRUE)
    test("partialAR:::test.par.nullmr(data.IBM, robust=TRUE)$p.value < 0.10", TRUE)
    test("partialAR:::test.par.nullmr(data.IBM, ar1test='kpss')$p.value > 0.10", TRUE)
    test("partialAR:::test.par.nullmr(data.IBM, ar1test='kpss', robust=TRUE)$p.value > 0.10", TRUE)

    test("partialAR:::test.par(data.L, null_hyp='rw')$p.value == partialAR:::test.par.nullrw(data.L)$p.value", TRUE)
    test("partialAR:::test.par(data.IBM, null_hyp='rw')$p.value == partialAR:::test.par.nullrw(data.IBM)$p.value", TRUE)
    test("partialAR:::test.par(data.L, null_hyp='mr')$p.value == partialAR:::test.par.nullmr(data.L)$p.value", TRUE)
    test("partialAR:::test.par(data.IBM, null_hyp='mr')$p.value == partialAR:::test.par.nullmr(data.IBM)$p.value", TRUE)
    
    test("partialAR:::test.par(data.L)$p.value['PAR'] <= 0.01", c(PAR=TRUE))
    test("partialAR:::test.par(data.L, robust=TRUE)$p.value['PAR'] <= 0.10", c(PAR=TRUE))
    test("partialAR:::test.par(data.IBM)$p.value['PAR'] > 0.10", c(PAR=TRUE))
    test("partialAR:::test.par(data.IBM, robust=TRUE)$p.value['PAR'] > 0.10", c(PAR=TRUE))
    test("partialAR:::test.par(data.L, ar1test='kpss')$p.value['PAR'] <= 0.01", c(PAR=TRUE))
    test("partialAR:::test.par(data.L, ar1test='kpss',robust=TRUE)$p.value['PAR'] <= 0.10", c(PAR=TRUE))
    test("partialAR:::test.par(data.IBM, ar1test='kpss')$p.value['PAR'] > 0.10", c(PAR=TRUE))
    
    print(partialAR:::test.par(data.L))
    print(partialAR:::test.par(data.L, robust=TRUE))
    
    test("partialAR:::which.hypothesis.partest(partialAR:::test.par(data.L))", "PAR")
    test("partialAR:::which.hypothesis.partest(partialAR:::test.par(data.L, robust=TRUE))", "RRW")
    test("partialAR:::which.hypothesis.partest(partialAR:::test.par(data.IBM))", "RW")
    
    partialAR:::print.par.lrt(); cat("\n\n")
    partialAR:::print.par.lrt(robust=TRUE); cat("\n\n")
    partialAR:::print.par.lrt(latex=TRUE); cat("\n\n")
    
#    partialAR:::print.par.lrt.mr(); cat("\n\n")
#    partialAR:::print.par.lrt.mr(robust=TRUE); cat("\n\n")
#    partialAR:::print.par.lrt.mr(latex=TRUE); cat("\n\n")

    partialAR:::print.par.lrt.rw(); cat("\n\n")
    partialAR:::print.par.lrt.rw(robust=TRUE); cat("\n\n")
    partialAR:::print.par.lrt.rw(latex=TRUE); cat("\n\n")
    
}

test_fit.par.both <- function (fast_only=FALSE) {
    test("partialAR:::fit.par.both(data.L)$par", 
        structure(c(0.871991364792238, 0.338198849510798, 0.192519577779812, 
        0, 37.8348806008997), .Names = c("rho", "sigma_M", "sigma_R", 
        "M0", "R0")) )
    test("partialAR:::fit.par.both(data.L)$stderr",
        structure(c(0.0493755130952366, 0.0306037545403534, 0.0507506043059735, 
        NA, 0.382843915239426), .Names = c("rho.se", "sigma_M.se", "sigma_R.se", 
        "M0.se", "R0.se")) )
    if (!fast_only) test("partialAR:::fit.par.both(data.L, opt_method='ss')$par", 
        structure(c(0.871991364792238, 0.338198849510798, 0.192519577779812, 
        0, 37.8348806008997), .Names = c("rho", "sigma_M", "sigma_R", 
        "M0", "R0")) )
    if (!fast_only) test("partialAR:::fit.par.both(data.L, opt_method='ss')$stderr",
        structure(c(0.0493755130952366, 0.0306037545403534, 0.0507506043059735, 
        NA, 0.382843915239426), .Names = c("rho.se", "sigma_M.se", "sigma_R.se", 
        "M0.se", "R0.se")) )
    if (!fast_only) test("partialAR:::fit.par.both(data.L, opt_method='kfas')$par", 
        structure(c(0.873239025413773, 0.334187559078876, 0.187013759524079, 
        0, 37.8228485852872), .Names = c("rho", "sigma_M", "sigma_R", 
        "M0", "R0")) )
    if (!fast_only) test("partialAR:::fit.par.both(data.L, opt_method='kfas')$stderr",
        structure(c(0.0480869790579741, 0.0299959210912542, 0.0482633848885082, 
        NA, 0.366440477748884), .Names = c("rho.se", "sigma_M.se", "sigma_R.se", 
        "M0.se", "R0.se")) )
    test("partialAR:::fit.par.both(data.IBM)$par", 
        structure(c(0.976388651908034, 2.01216604959705, 0.467711046901045, 
        0, 177.472892129038), .Names = c("rho", "sigma_M", "sigma_R", 
        "M0", "R0")) )
    test("partialAR:::fit.par.both(data.IBM)$stderr",
        structure(c(0.018222371388718, 0.153130468131214, 0.599803359236283, 
        NA, 2.12284254607983), .Names = c("rho.se", "sigma_M.se", "sigma_R.se", 
        "M0.se", "R0.se")) )
    test("partialAR:::fit.par.both(data.IBM, robust=TRUE)$par",
        structure(c(0.982921831279379, 1.30721045019958, 0.690103593777354, 
        0, 176.743925850553), .Names = c("rho", "sigma_M", "sigma_R", 
        "M0", "R0")) )
    if (!fast_only) test("partialAR:::fit.par.both(data.IBM, robust=TRUE, opt_method='ss')$par",
        structure(c(0.982921831279379, 1.30721045019958, 0.690103593777354, 
        0, 176.743925850553), .Names = c("rho", "sigma_M", "sigma_R", 
        "M0", "R0")) )
    test("partialAR:::fit.par.both(data.IBM, robust=TRUE, nu=3)$par",
        structure(c(0.985936838750558, 1.20382984003629, 0.587584874718192, 
        0, 176.716597228655), .Names = c("rho", "sigma_M", "sigma_R", 
        "M0", "R0")) )
    test("partialAR:::fit.par.both(data.IBM, rho.max=0.95)$par",
        structure(c(0.95, 1.8101310703133, 0.998701976498605, 0, 176.958377474755
        ), .Names = c("rho", "sigma_M", "sigma_R", "M0", "R0")) )
    test("partialAR:::fit.par.both(data.IBM, lambda=2)$pvmr", c(pvmr=1))
    test("partialAR:::fit.par.both(data.IBM, lambda=-2)$pvmr", c(pvmr=0.0442039289027))
}

test_fit.par.mr <- function (fast_only=FALSE) {
    test("partialAR:::fit.par.mr(data.L)$par", 
        structure(c(1, 0.392621113046972, 0, 0, 37.8517816705337), .Names = c("rho", 
        "sigma_M", "sigma_R", "M0", "R0")) )
    test("partialAR:::fit.par.mr(data.L)$stderr",
        structure(c(1.55086108092093e-05, 0.0123907243901383, NA, NA, 
        0.392621124942204), .Names = c("rho.se", "sigma_M.se", "sigma_R.se", 
        "M0.se", "R0.se")) )
    if (!fast_only) test("partialAR:::fit.par.mr(data.L, opt_method='ss')$par", 
        structure(c(1, 0.392621113046972, 0, 0, 37.8517816705337), .Names = c("rho", 
        "sigma_M", "sigma_R", "M0", "R0")) )
    if (!fast_only) test("partialAR:::fit.par.mr(data.L, opt_method='ss')$stderr",
        structure(c(1.55086108092093e-05, 0.0123907243901383, NA, NA, 
        0.392621124942204), .Names = c("rho.se", "sigma_M.se", "sigma_R.se", 
        "M0.se", "R0.se")) )
    if (!fast_only) test("partialAR:::fit.par.mr(data.L, opt_method='kfas')$par", 
        structure(c(1, 0.392621113047498, 0, 0, 37.8517816705312), .Names = c("rho", 
        "sigma_M", "sigma_R", "M0", "R0")) )
    if (!fast_only) test("partialAR:::fit.par.mr(data.L, opt_method='kfas')$stderr",
        structure(c(1.55086108092093e-05, 0.0123907243901654, NA, NA, 
        0.392621124727183), .Names = c("rho.se", "sigma_M.se", "sigma_R.se", 
        "M0.se", "R0.se")) )
    test("partialAR:::fit.par.mr(data.IBM)$par", 
        structure(c(0.989394562548544, 2.06766254187052, 0, 0, 177.378135957708
        ), .Names = c("rho", "sigma_M", "sigma_R", "M0", "R0")) )
    test("partialAR:::fit.par.mr(data.IBM)$stderr",
        structure(c(0.00711953959492437, 0.0652545415824236, NA, NA, 
        2.18393834163026), .Names = c("rho.se", "sigma_M.se", "sigma_R.se", 
        "M0.se", "R0.se")) )
    test("partialAR:::fit.par.mr(data.IBM, robust=TRUE)$par",
        structure(c(0.996850903105148, 1.47881632988678, 0, 0, 176.742922370692
        ), .Names = c("rho", "sigma_M", "sigma_R", "M0", "R0")) )
    if (!fast_only) test("partialAR:::fit.par.mr(data.IBM, robust=TRUE, opt_method='ss')$par",
        structure(c(0.996850903105148, 1.47881632988678, 0, 0, 176.742922370692
        ), .Names = c("rho", "sigma_M", "sigma_R", "M0", "R0")) )
    test("partialAR:::fit.par.mr(data.IBM, robust=TRUE, nu=3)$par",
        structure(c(0.996784426974733, 1.33994364448777, 0, 0, 176.717640850721
        ), .Names = c("rho", "sigma_M", "sigma_R", "M0", "R0")) )
    test("partialAR:::fit.par.mr(data.IBM, rho.max=0.95)$par",
        structure(c(0.95, 2.10195614607977, 0, 0, 183.429724544732), .Names = c("rho", 
        "sigma_M", "sigma_R", "M0", "R0")) )
    test("partialAR:::fit.par.mr(data.IBM)$pvmr", c(pvmr=1))

}

test_fit.par.rw <- function (fast_only=FALSE) {
    test("partialAR:::fit.par.rw(data.L)$par", 
        structure(c(0, 0, 0.392609091324016, 0, 37.8517816659277), .Names = c("rho", 
        "sigma_M", "sigma_R", "M0", "R0")) )
    test("partialAR:::fit.par.rw(data.L)$stderr",
        structure(c(NA, NA, 0.0175230013091655, NA, 0), .Names = c("rho.se", 
        "sigma_M.se", "sigma_R.se", "M0.se", "R0.se")) )
    if (!fast_only) test("partialAR:::fit.par.rw(data.L, opt_method='ss')$par", 
        structure(c(0, 0, 0.392609091324016, 0, 37.8517816659277), .Names = c("rho", 
        "sigma_M", "sigma_R", "M0", "R0")) )
    if (!fast_only) test("partialAR:::fit.par.rw(data.L, opt_method='kfas')$par", 
        structure(c(0, 0, 0.392609091324016, 0, 37.8517816659277), .Names = c("rho", 
        "sigma_M", "sigma_R", "M0", "R0")) )
    test("partialAR:::fit.par.rw(data.IBM)$par", 
        structure(c(0, 0, 2.07281796275108, 0, 176.668606104443), .Names = c("rho", 
        "sigma_M", "sigma_R", "M0", "R0")) )
    test("partialAR:::fit.par.rw(data.IBM)$stderr",
        structure(c(NA, NA, 0.0925143932669985, NA, 0), .Names = c("rho.se", 
        "sigma_M.se", "sigma_R.se", "M0.se", "R0.se")) )
    test("partialAR:::fit.par.rw(data.IBM, robust=TRUE)$par",
        structure(c(0, 0, 1.47924935869178, 0, 176.668606104443), .Names = c("rho", 
        "sigma_M", "sigma_R", "M0", "R0")) )
    if (!fast_only) test("partialAR:::fit.par.rw(data.IBM, robust=TRUE, opt_method='ss')$par",
        structure(c(0, 0, 1.47924935869178, 0, 176.668606104443), .Names = c("rho", 
        "sigma_M", "sigma_R", "M0", "R0")) )
    test("partialAR:::fit.par.rw(data.IBM, robust=TRUE, nu=3)$par",
        structure(c(0, 0, 1.34077692991459, 0, 176.668606104443), .Names = c("rho", 
        "sigma_M", "sigma_R", "M0", "R0")) )
    test("partialAR:::fit.par.rw(data.IBM)$pvmr", c(pvmr=0))
}

test_fit.par <- function (fast_only=FALSE) {
    test("partialAR:::fit.par(data.L)$par", 
        structure(c(0.871991364792238, 0.338198849510798, 0.192519577779812, 
        0, 37.8348806008997), .Names = c("rho", "sigma_M", "sigma_R", 
        "M0", "R0")) )
    test("partialAR:::fit.par(data.L)$stderr",
        structure(c(0.0493755130952366, 0.0306037545403534, 0.0507506043059735, 
        NA, 0.382843915239426), .Names = c("rho.se", "sigma_M.se", "sigma_R.se", 
        "M0.se", "R0.se")) )
    if (!fast_only) test("partialAR:::fit.par(data.L, opt_method='kfas')$par", 
        structure(c(0.873239025413773, 0.334187559078876, 0.187013759524079, 
        0, 37.8228485852872), .Names = c("rho", "sigma_M", "sigma_R", 
        "M0", "R0")) )
    test("partialAR:::fit.par(data.IBM)$par", 
        structure(c(0.976388651908034, 2.01216604959705, 0.467711046901045, 
        0, 177.472892129038), .Names = c("rho", "sigma_M", "sigma_R", 
        "M0", "R0")) )
    test("partialAR:::fit.par(data.IBM)$stderr",
        structure(c(0.018222371388718, 0.153130468131214, 0.599803359236283, 
        NA, 2.12284254607983), .Names = c("rho.se", "sigma_M.se", "sigma_R.se", 
        "M0.se", "R0.se")) )
    test("partialAR:::fit.par(data.IBM, robust=TRUE)$par",
        structure(c(0.982921831279379, 1.30721045019958, 0.690103593777354, 
        0, 176.743925850553), .Names = c("rho", "sigma_M", "sigma_R", 
        "M0", "R0")) )
    test("partialAR:::fit.par(data.IBM, robust=TRUE, nu=3)$par",
        structure(c(0.985936838750558, 1.20382984003629, 0.587584874718192, 
        0, 176.716597228655), .Names = c("rho", "sigma_M", "sigma_R", 
        "M0", "R0")) )
    test("partialAR:::fit.par(data.IBM, rho.max=0.95)$par",
        structure(c(0.95, 1.8101310703133, 0.998701976498605, 0, 176.958377474755
        ), .Names = c("rho", "sigma_M", "sigma_R", "M0", "R0")) )
    test("partialAR:::fit.par(data.IBM, lambda=2)$pvmr", c(pvmr=1))
    test("partialAR:::fit.par(data.IBM, lambda=-2)$pvmr", c(pvmr=0.0442039289027))
    test("partialAR:::fit.par(data.L, model='ar1')$par", 
        structure(c(1, 0.392621113046972, 0, 0, 37.8517816705337), .Names = c("rho", 
        "sigma_M", "sigma_R", "M0", "R0")) )
    test("partialAR:::fit.par(data.L, model='ar1')$stderr",
        structure(c(1.55086108092093e-05, 0.0123907243901383, NA, NA, 
        0.392621124942204), .Names = c("rho.se", "sigma_M.se", "sigma_R.se", 
        "M0.se", "R0.se")) )
    test("partialAR:::fit.par(data.L, model='rw')$par", 
        structure(c(0, 0, 0.392609091324016, 0, 37.8517816659277), .Names = c("rho", 
        "sigma_M", "sigma_R", "M0", "R0")) )
    test("partialAR:::fit.par(data.L, model='rw')$stderr",
        structure(c(NA, NA, 0.0175230013091655, NA, 0), .Names = c("rho.se", 
        "sigma_M.se", "sigma_R.se", "M0.se", "R0.se")) )
}

test_fit <- function (fast_only=FALSE) {
    test("partialAR:::par.rho.cutoff(25)", NA_real_)
    test("partialAR:::par.rho.cutoff(50)", 0.724)
    test("partialAR:::par.rho.cutoff(50,0.01)", 0.594)
    test("partialAR:::par.rho.cutoff(50,.00001)", 0.438)
    
    test("partialAR:::estimate.rho.par(numeric())", NA_real_)
    test("partialAR:::estimate.rho.par(rep(0,5))", NaN)    
    x1 <- build_par(0.95, rep(0,10), rep(0,10), M0=1)
    test("partialAR:::estimate.rho.par(x1)", 0.8497954230236)
    x1na <- x1
    x1na[1] <- NA
    test("partialAR:::estimate.rho.par(x1na)", NA_real_)
    
    test("partialAR:::estimate.par(numeric())", c(rho=NA_real_, sigma_M=NA_real_, sigma_R=NA_real_))
    test("partialAR:::estimate.par(rep(0,5))", c(rho=NaN, sigma_M=NaN, sigma_R=NaN))
    test("partialAR:::estimate.par(x1)", c(rho=0.849795423024, sigma_M=0, sigma_R=0.00624752527433))
    test("partialAR:::estimate.par(x1na)", c(rho=NA_real_, sigma_M=NA_real_, sigma_R=NA_real_))
  
    test("partialAR:::pvmr.par(0,0,0)", c(pvmr=NA_real_))
    test("partialAR:::pvmr.par(-1,1,0)", c(pvmr=1))
    test("partialAR:::pvmr.par(1,-1,0)", c(pvmr=NA_real_))
    test("partialAR:::pvmr.par(1,1,-1)", c(pvmr=NA_real_))
    test("partialAR:::pvmr.par(0,0,1)", c(pvmr=0))
    test("partialAR:::pvmr.par(0,1,0)", c(pvmr=1))
    test("partialAR:::pvmr.par(0,1,1)", c(pvmr=2/3))
    test("partialAR:::pvmr.par(0.5,1,1)", c(pvmr=0.571428571429))
    test("partialAR:::pvmr.par(0.5,1,2)", c(pvmr=0.25))
    test("partialAR:::pvmr.par(0.5,0.5,1)", c(pvmr=0.25)) 
        
    test("partialAR:::kalman.gain.par(0,0,0)", c(NA_real_, NA_real_))
    test("partialAR:::kalman.gain.par(0,1,0)", c(1,0))
    test("partialAR:::kalman.gain.par(0,0,1)", c(0,1))
    test("partialAR:::kalman.gain.par(0.5,1,1)", c(1/3,2/3))

    test("partialAR:::kalman.gain.from.pvmr(0,0)", c(0,1))
    test("partialAR:::kalman.gain.from.pvmr(1,0)", c(0,1))
    test("partialAR:::kalman.gain.from.pvmr(0,1)", c(1,0))
    test("partialAR:::kalman.gain.from.pvmr(0,0)", c(0,1))
    test("partialAR:::kalman.gain.from.pvmr(0,0)", c(0,1))
    test("partialAR:::kalman.gain.from.pvmr(0.8,0.8)", c(0.545454545455, 0.454545454545))
    
    test_fit.par.both (fast_only)
    test_fit.par.mr(fast_only)
    test_fit.par.rw(fast_only)
    test_fit.par(fast_only)

    test("partialAR:::statehistory.par(partialAR:::fit.par(data.L))[1,]",
        structure(list(X = 37.8517816659277, M = 0.00867470536387833, 
            R = 37.8431069605638, eps_M = 0.00867470536387833, eps_R = 0.00822635966417289), 
            .Names = c("X", 
        "M", "R", "eps_M", "eps_R"), row.names = 1L, class = "data.frame") )
    test("partialAR:::statehistory.par(partialAR:::fit.par(data.L))[length(data.L),]",
        structure(list(X = 48.0305776082708, M = 0.379272544771068, R = 47.6513050634997, 
            eps_M = 0.159638785630931, eps_R = 0.151387973638877), .Names = c("X", 
        "M", "R", "eps_M", "eps_R"), row.names = 502L, class = "data.frame") )

    print(partialAR:::fit.par(data.L))
    print(partialAR:::fit.par(data.IBM))

    test("as.data.frame(partialAR:::fit.par(data.L))",
        structure(list(robust = FALSE, nu = 5, 
            opt_method = "css", 
            n = 502L, rho = 0.871991364792238, sigma_M = 0.338198849510798, 
            sigma_R = 0.192519577779812, M0 = 0, R0 = 37.8348806008997, 
            rho.se = 0.0493755130952366, sigma_M.se = 0.0306037545403534, 
            sigma_R.se = 0.0507506043059735, M0.se = NA_real_, R0.se = 0.382843915239426, 
            lambda = 0, pvmr = 0.767280179062111, negloglik = 238.531977143138), .Names = c("robust", 
        "nu", "opt_method", "n", "rho", "sigma_M", "sigma_R", "M0", "R0", 
        "rho.se", "sigma_M.se", "sigma_R.se", "M0.se", "R0.se", "lambda", 
        "pvmr", "negloglik"), row.names = c(NA, -1L), class = "data.frame") )
}

test_par <- function (fast_only=FALSE) {
    # Comprehensive unit testing for PAR package

    options(warn=1)
    
    test_cfit(fast_only)
    test_lr(fast_only)
    test_fit(fast_only)
    test_lr2(fast_only)
    
    if (all.tests.pass) {
        cat("SUCCESS! All tests passed.\n")
    } else {
        stop("ERRORS! ", all.tests.error.count," tests failed\n")
    }
}

test_par(TRUE)