1use Test::More tests => 794; 2use Math::GSL qw/:all/; 3use Math::GSL::Test qw/:all/; 4use Math::GSL::Errno qw/:all/; 5use Math::GSL::CDF qw/:all/; 6use Math::GSL::Machine qw/:all/; 7use Math::GSL::SF qw/:all/; 8use Math::GSL::Sys qw/gsl_posinf gsl_nan/; 9use Data::Dumper; 10use strict; 11use warnings; 12 13BEGIN{ gsl_set_error_handler_off(); } 14 15my $TOL0 = 2.0*$GSL_DBL_EPSILON; 16my $TOL1 = 16.0*$GSL_DBL_EPSILON; 17my $TOL2 = 256.0*$GSL_DBL_EPSILON; 18my $TOL3 = 2048.0*$GSL_DBL_EPSILON; 19my $TOL4 = 16384.0*$GSL_DBL_EPSILON; 20my $TOL5 = 131072.0*$GSL_DBL_EPSILON; 21my $TOL6 = 1048576.0*$GSL_DBL_EPSILON; 22 23{ 24 my $results = { 25 'gsl_cdf_ugaussian_P(2.0)' => [ 0.977250, 1e-5 ], 26 'gsl_cdf_ugaussian_Q(2.0)' => [ 0.022750, 1e-5 ], 27 'gsl_cdf_ugaussian_Pinv(0.977250)' => [ 2.000000, 1e-5 ], 28 'gsl_cdf_ugaussian_Qinv(0.022750)' => [ 2.000000, 1e-5 ], 29 'gsl_cdf_ugaussian_P (0.0)' => [ 0.5, $TOL0 ], 30 'gsl_cdf_ugaussian_P (1e-32)' => [ 0.5, $TOL0 ], 31 'gsl_cdf_ugaussian_P (1e-16)' => [ 0.5000000000000000398942280401, $TOL0 ], 32 'gsl_cdf_ugaussian_P (1e-8)' => [ 0.5000000039894228040143267129, $TOL0 ], 33 'gsl_cdf_ugaussian_P (0.5)' => [ 0.6914624612740131036377046105, $TOL0 ], 34 'gsl_cdf_ugaussian_P (0.7)' => [ 0.7580363477769269852506495717, $TOL0 ], 35 'gsl_cdf_ugaussian_P (5.0)' => [ 0.9999997133484281208060883262, $TOL0 ], 36 'gsl_cdf_ugaussian_P (10.0)' => [ 0.9999999999999999999999923801, $TOL0 ], 37 'gsl_cdf_ugaussian_P (30.0)' => [ 1.000000000000000000000000000, $TOL0 ], 38 'gsl_cdf_ugaussian_P (40.0)' => [ 1.000000000000000000000000000, $TOL0 ], 39 'gsl_cdf_ugaussian_P (1e10)' => [ 1.000000000000000000000000000, $TOL0 ], 40 'gsl_cdf_ugaussian_P (-1e-32)' => [ 0.5, $TOL6 ], 41 'gsl_cdf_ugaussian_P (-1e-16)' => [ 0.4999999999999999601057719598, $TOL0 ], 42 'gsl_cdf_ugaussian_P (-1e-8)' => [ 0.4999999960105771959856732870, $TOL0 ], 43 'gsl_cdf_ugaussian_P (-0.5)' => [ 0.3085375387259868963622953894, $TOL0 ], 44 'gsl_cdf_ugaussian_P (-0.7)' => [ 0.2419636522230730147493504282, $TOL0 ], 45 'gsl_cdf_ugaussian_P (-5.0)' => [ 0.0000002866515718791939116737523329, $TOL1 ], 46 'gsl_cdf_ugaussian_P (-10.0)' => [ 7.619853024160526065973343257e-24, $TOL3 ], 47 'gsl_cdf_ugaussian_P (-30.0)' => [ 4.906713927148187059533809288e-198, $TOL3 ], 48 'gsl_cdf_ugaussian_P (-1e10)' => [ 0.0, 0.0 ], 49 'gsl_cdf_ugaussian_Q (0.0)' => [ 0.5, $TOL0 ], 50 'gsl_cdf_ugaussian_Q (1e-32)' => [ 0.5, $TOL0 ], 51 'gsl_cdf_ugaussian_Q (1e-16)' => [ 0.4999999999999999601057719598, $TOL0 ], 52 'gsl_cdf_ugaussian_Q (1e-8)' => [ 0.4999999960105771959856732870, $TOL0 ], 53 'gsl_cdf_ugaussian_Q (0.5)' => [ 0.3085375387259868963622953894, $TOL0 ], 54 'gsl_cdf_ugaussian_Q (0.7)' => [ 0.2419636522230730147493504282, $TOL0 ], 55 'gsl_cdf_ugaussian_Q (5.0)' => [ 0.0000002866515718791939116737523329, $TOL3 ], 56 'gsl_cdf_ugaussian_Q (10.0)' => [ 7.619853024160526065973343257e-24, $TOL3 ], 57 'gsl_cdf_ugaussian_Q (30.0)' => [ 4.906713927148187059533809288e-198, $TOL3 ], 58 'gsl_cdf_ugaussian_Q (1e10)' => [ 0.0, 0.0 ], 59 'gsl_cdf_ugaussian_Q (-1e-32)' => [ 0.5, $TOL0 ], 60 'gsl_cdf_ugaussian_Q (-1e-16)' => [ 0.5000000000000000398942280401, $TOL0 ], 61 'gsl_cdf_ugaussian_Q (-1e-8)' => [ 0.5000000039894228040143267129, $TOL0 ], 62 'gsl_cdf_ugaussian_Q (-0.5)' => [ 0.6914624612740131036377046105, $TOL0 ], 63 'gsl_cdf_ugaussian_Q (-0.7)' => [ 0.7580363477769269852506495717, $TOL0 ], 64 'gsl_cdf_ugaussian_Q (-5.0)' => [ 0.9999997133484281208060883262, $TOL0 ], 65 'gsl_cdf_ugaussian_Q (-10.0)' => [ 0.9999999999999999999999923801, $TOL0 ], 66 'gsl_cdf_ugaussian_Q (-30.0)' => [ 1.000000000000000000000000000, $TOL0 ], 67 'gsl_cdf_ugaussian_Q (-40.0)' => [ 1.000000000000000000000000000, $TOL0 ], 68 'gsl_cdf_ugaussian_Q (-1e10)' => [ 1.000000000000000000000000000, $TOL0 ], 69 'gsl_cdf_ugaussian_Pinv (0.9999997133)' => [ 5.0, 1e-4 ], 70 'gsl_cdf_ugaussian_Pinv (0.9999683288)' => [ 4.0, 1e-6 ], 71 'gsl_cdf_ugaussian_Pinv (0.9986501020)' => [ 3.0, 1e-8 ], 72 'gsl_cdf_ugaussian_Pinv (0.977249868051821)' => [ 2.0, 1e-14 ], 73 'gsl_cdf_ugaussian_Pinv (0.841344746068543)' => [ 1.0, $TOL3 ], 74 'gsl_cdf_ugaussian_Pinv (0.617911422188953)' => [ 0.3, $TOL1 ], 75 'gsl_cdf_ugaussian_Pinv (0.579259709439103)' => [ 0.2, $TOL1 ], 76 'gsl_cdf_ugaussian_Pinv (0.539827837277029)' => [ 0.1, $TOL1 ], 77 'gsl_cdf_ugaussian_Pinv (0.5)' => [ 0.0, 0.0 ], 78 'gsl_cdf_ugaussian_Pinv (4.60172162722971e-1)' => [ -0.1, $TOL1 ], 79 'gsl_cdf_ugaussian_Pinv (4.20740290560897e-1)' => [ -0.2, $TOL1 ], 80 'gsl_cdf_ugaussian_Pinv (3.82088577811047e-1)' => [ -0.3, $TOL1 ], 81 'gsl_cdf_ugaussian_Pinv (3.44578258389676e-1)' => [ -0.4, $TOL1 ], 82 'gsl_cdf_ugaussian_Pinv (3.08537538725987e-1)' => [ -0.5, $TOL2 ], 83 'gsl_cdf_ugaussian_Pinv (1.58655253931457e-1)' => [ -1.0, $TOL3 ], 84 'gsl_cdf_ugaussian_Pinv (2.2750131948179e-2)' => [ -2.0, 1e-14 ], 85 'gsl_cdf_ugaussian_Pinv (1.349898e-3)' => [ -3.0, 1e-8 ], 86 'gsl_cdf_ugaussian_Pinv (3.16712e-5)' => [ -4.0, 1e-6 ], 87 'gsl_cdf_ugaussian_Pinv (2.86648e-7)' => [ -5.0, 1e-4 ], 88 'gsl_cdf_ugaussian_Pinv (7.61985302416052e-24)' => [ -10.0, 1e-4 ], 89 'gsl_cdf_ugaussian_Qinv (7.61985302416052e-24)' => [ 10.0, 1e-4 ], 90 'gsl_cdf_ugaussian_Qinv (2.86648e-7)' => [ 5.0, 1e-4 ], 91 'gsl_cdf_ugaussian_Qinv (3.16712e-5)' => [ 4.0, 1e-6 ], 92 'gsl_cdf_ugaussian_Qinv (1.349898e-3)' => [ 3.0, 1e-8 ], 93 'gsl_cdf_ugaussian_Qinv (2.2750131948179e-2)' => [ 2.0, 1e-14 ], 94 'gsl_cdf_ugaussian_Qinv (1.58655253931457e-1)' => [ 1.0, $TOL3 ], 95 'gsl_cdf_ugaussian_Qinv (3.08537538725987e-1)' => [ 0.5, $TOL2 ], 96 'gsl_cdf_ugaussian_Qinv (3.44578258389676e-1)' => [ 0.4, $TOL1 ], 97 'gsl_cdf_ugaussian_Qinv (3.82088577811047e-1)' => [ 0.3, $TOL1 ], 98 'gsl_cdf_ugaussian_Qinv (4.20740290560897e-1)' => [ 0.2, $TOL1 ], 99 'gsl_cdf_ugaussian_Qinv (4.60172162722971e-1)' => [ 0.1, $TOL1 ], 100 'gsl_cdf_ugaussian_Qinv (0.5)' => [ 0.0, 0.0 ], 101 'gsl_cdf_ugaussian_Qinv (0.539827837277029)' => [ -0.1, $TOL1 ], 102 'gsl_cdf_ugaussian_Qinv (0.579259709439103)' => [ -0.2, $TOL1 ], 103 'gsl_cdf_ugaussian_Qinv (0.617911422188953)' => [ -0.3, $TOL1 ], 104 'gsl_cdf_ugaussian_Qinv (0.655421741610324)' => [ -0.4, $TOL1 ], 105 'gsl_cdf_ugaussian_Qinv (0.691462461274013)' => [ -0.5, $TOL2 ], 106 'gsl_cdf_ugaussian_Qinv (0.841344746068543)' => [ -1.0, $TOL3 ], 107 'gsl_cdf_ugaussian_Qinv (0.977249868051821)' => [ -2.0, 1e-14 ], 108 'gsl_cdf_ugaussian_Qinv (0.9986501020)' => [ -3.0, 1e-8 ], 109 'gsl_cdf_ugaussian_Qinv (0.9999683288)' => [ -4.0, 1e-6 ], 110 'gsl_cdf_ugaussian_Qinv (0.9999997133)' => [ -5.0, 1e-4 ], 111 'gsl_cdf_exponential_P (0.1, 0.7)' => [ 1.33122100249818372e-1, $TOL0 ], 112 'gsl_cdf_exponential_P (1e-32, 0.7)' => [ 1.42857142857142857e-32, $TOL0 ], 113 'gsl_cdf_exponential_P (1000.0, 0.7)' => [ 1.0, $TOL6 ], 114 'gsl_cdf_exponential_Q (0.1, 0.7)' => [ 8.66877899750181628e-1, $TOL0 ], 115 'gsl_cdf_exponential_Q (1e-32, 0.7)' => [ 1.0, $TOL0 ], 116 'gsl_cdf_exponential_Q (1000.0, 0.7)' => [ 0.0, $TOL6 ], 117 'gsl_cdf_exponential_Pinv (0.13, 0.7)' => [ 9.74834471334553546e-2, $TOL0 ], 118 'gsl_cdf_exponential_Pinv (1.42e-32, 0.7)' => [ 9.94000000000000000e-33, $TOL0 ], 119 'gsl_cdf_exponential_Qinv (0.86, 0.7)' => [ 1.05576022814208545e-1, $TOL0 ], 120 'gsl_cdf_exponential_Qinv (0.99999, 0.7)' => [ 7.00003500023333508e-6, $TOL6 ], 121 'gsl_cdf_exppow_P (-1000.0, 0.7, 1.8)' => [ 0.0, 0.0 ], 122 'gsl_cdf_exppow_P (-0.1, 0.7, 1.8)' => [ 0.4205349082867515493458053850, $TOL6 ], 123 'gsl_cdf_exppow_P (-1e-32, 0.7, 1.8)' => [ 0.4999999999999999999999999999, $TOL0 ], 124 'gsl_cdf_exppow_P (0.1, 0.7, 1.8)' => [ 0.5794650917132484506541946149, $TOL0 ], 125 'gsl_cdf_exppow_P (1e-32, 0.7, 1.8)' => [ 0.5, $TOL0 ], 126 'gsl_cdf_exppow_P (1000.0, 0.7, 1.8)' => [ 0.9999999999999999999999956212, $TOL6 ], 127 'gsl_cdf_exppow_Q (-1000.0, 0.7, 1.8)' => [ 0.9999999999999999999999956212, $TOL6 ], 128 'gsl_cdf_exppow_Q (-0.1, 0.7, 1.8)' => [ 0.5794650917132484506541946149, $TOL0 ], 129 'gsl_cdf_exppow_Q (-1e-32, 0.7, 1.8)' => [ 0.5, $TOL0 ], 130 'gsl_cdf_exppow_Q (0.1, 0.7, 1.8)' => [ 0.4205349082867515493458053850, $TOL0 ], 131 'gsl_cdf_exppow_Q (1e-32, 0.7, 1.8)' => [ 0.4999999999999999999999999999, $TOL0 ], 132 'gsl_cdf_exppow_Q (1000.0, 0.7, 1.8)' => [ 0.0, $TOL6 ], 133 'gsl_cdf_tdist_P (0.0, 1.0)' => [ 0.5, $TOL6 ], 134 'gsl_cdf_tdist_P (1e-100, 1.0)' => [ 0.5, $TOL6 ], 135 'gsl_cdf_tdist_P (0.001, 1.0)' => [ 5.00318309780080559e-1, $TOL6 ], 136 'gsl_cdf_tdist_P (0.01, 1.0)' => [ 5.03182992764908255e-1, $TOL6 ], 137 'gsl_cdf_tdist_P (0.1, 1.0)' => [ 5.31725517430553569e-1, $TOL6 ], 138 'gsl_cdf_tdist_P (0.325, 1.0)' => [ 6.00023120032852123e-1, $TOL6 ], 139 'gsl_cdf_tdist_P (1.0, 1.0)' => [ 0.75000000000000000e0, $TOL6 ], 140 'gsl_cdf_tdist_P (1.5, 1.0)' => [ 8.12832958189001183e-1, $TOL6 ], 141 'gsl_cdf_tdist_P (2.0, 1.0)' => [ 8.52416382349566726e-1, $TOL6 ], 142 'gsl_cdf_tdist_P (10.0, 1.0)' => [ 9.68274482569446430e-1, $TOL6 ], 143 'gsl_cdf_tdist_P (20.0, 1.0)' => [ 9.84097748743823625e-1, $TOL6 ], 144 'gsl_cdf_tdist_P (100.0, 1.0)' => [ 9.96817007235091745e-1, $TOL6 ], 145 'gsl_cdf_tdist_P (1000.0, 1.0)' => [ 9.99681690219919441e-1, $TOL6 ], 146 'gsl_cdf_tdist_P (10000.0, 1.0)' => [ 9.99968169011487724e-1, $TOL6 ], 147 'gsl_cdf_tdist_Q (0.0, 1.0)' => [ 0.5, $TOL6 ], 148 'gsl_cdf_tdist_Q (1e-100, 1.0)' => [ 0.5, $TOL6 ], 149 'gsl_cdf_tdist_Q (0.001, 1.0)' => [ 4.99681690219919441e-1, $TOL6 ], 150 'gsl_cdf_tdist_Q (0.01, 1.0)' => [ 4.96817007235091745e-1, $TOL6 ], 151 'gsl_cdf_tdist_Q (0.1, 1.0)' => [ 4.68274482569446430e-1, $TOL6 ], 152 'gsl_cdf_tdist_Q (0.325, 1.0)' => [ 3.99976879967147876e-1, $TOL6 ], 153 'gsl_cdf_tdist_Q (1.0, 1.0)' => [ 2.5e-1, $TOL6 ], 154 'gsl_cdf_tdist_Q (1.5, 1.0)' => [ 1.87167041810998816e-1, $TOL6 ], 155 'gsl_cdf_tdist_Q (2.0, 1.0)' => [ 1.47583617650433274e-1, $TOL6 ], 156 'gsl_cdf_tdist_Q (10.0, 1.0)' => [ 3.17255174305535695e-2, $TOL6 ], 157 'gsl_cdf_tdist_Q (20.0, 1.0)' => [ 1.59022512561763752e-2, $TOL6 ], 158 'gsl_cdf_tdist_Q (100.0, 1.0)' => [ 3.18299276490825515e-3, $TOL6 ], 159 'gsl_cdf_tdist_Q (1000.0, 1.0)' => [ 3.18309780080558939e-4, $TOL6 ], 160 'gsl_cdf_tdist_Q (10000.0, 1.0)' => [ 3.18309885122757724e-5, $TOL6 ], 161 'gsl_cdf_tdist_P (-1e-100, 1.0)' => [ 0.5, $TOL6 ], 162 'gsl_cdf_tdist_P (-0.001, 1.0)' => [ 4.99681690219919441e-1, $TOL6 ], 163 'gsl_cdf_tdist_P (-0.01, 1.0)' => [ 4.96817007235091744e-1, $TOL6 ], 164 'gsl_cdf_tdist_P (-0.1, 1.0)' => [ 4.68274482569446430e-1, $TOL6 ], 165 'gsl_cdf_tdist_P (-0.325, 1.0)' => [ 3.99976879967147876e-1, $TOL6 ], 166 'gsl_cdf_tdist_P (-1.0, 1.0)' => [ 0.25, $TOL6 ], 167 'gsl_cdf_tdist_P (-1.5, 1.0)' => [ 1.87167041810998816e-1, $TOL6 ], 168 'gsl_cdf_tdist_P (-2.0, 1.0)' => [ 1.47583617650433274e-1, $TOL6 ], 169 'gsl_cdf_tdist_P (-10.0, 1.0)' => [ 3.17255174305535695e-2, $TOL6 ], 170 'gsl_cdf_tdist_P (-20.0, 1.0)' => [ 1.59022512561763751e-2, $TOL6 ], 171 'gsl_cdf_tdist_P (-100.0, 1.0)' => [ 3.18299276490825514e-3, $TOL6 ], 172 'gsl_cdf_tdist_P (-1000.0, 1.0)' => [ 3.18309780080558938e-4, $TOL6 ], 173 'gsl_cdf_tdist_P (-10000.0, 1.0)' => [ 3.18309885122757724e-5, $TOL6 ], 174 'gsl_cdf_tdist_Q (-1e-100, 1.0)' => [ 0.5, $TOL6 ], 175 'gsl_cdf_tdist_Q (-0.001, 1.0)' => [ 5.00318309780080559e-1, $TOL6 ], 176 'gsl_cdf_tdist_Q (-0.01, 1.0)' => [ 5.03182992764908255e-1, $TOL6 ], 177 'gsl_cdf_tdist_Q (-0.1, 1.0)' => [ 5.31725517430553570e-1, $TOL6 ], 178 'gsl_cdf_tdist_Q (-0.325, 1.0)' => [ 6.00023120032852124e-1, $TOL6 ], 179 'gsl_cdf_tdist_Q (-1.0, 1.0)' => [ 7.5e-1, $TOL6 ], 180 'gsl_cdf_tdist_Q (-1.5, 1.0)' => [ 8.12832958189001184e-1, $TOL6 ], 181 'gsl_cdf_tdist_Q (-2.0, 1.0)' => [ 8.52416382349566726e-1, $TOL6 ], 182 'gsl_cdf_tdist_Q (-10.0, 1.0)' => [ 9.68274482569446430e-1, $TOL6 ], 183 'gsl_cdf_tdist_Q (-20.0, 1.0)' => [ 9.84097748743823625e-1, $TOL6 ], 184 'gsl_cdf_tdist_Q (-100.0, 1.0)' => [ 9.96817007235091745e-1, $TOL6 ], 185 'gsl_cdf_tdist_Q (-1000.0, 1.0)' => [ 9.99681690219919441e-1, $TOL6 ], 186 'gsl_cdf_tdist_Q (-10000.0, 1.0)' => [ 9.99968169011487724e-1, $TOL6 ], 187 'gsl_cdf_tdist_P (0.0, 2.0)' => [ 5.00000000000000000e-01, $TOL6 ], 188 'gsl_cdf_tdist_P (1e-100, 2.0)' => [ 5.00000000000000000e-01, $TOL6 ], 189 'gsl_cdf_tdist_P (0.001, 2.0)' => [ 5.00353553302204959e-01, $TOL6 ], 190 'gsl_cdf_tdist_P (0.01, 2.0)' => [ 5.03535445520899514e-01, $TOL6 ], 191 'gsl_cdf_tdist_P (0.1, 2.0)' => [ 5.35267280792929913e-01, $TOL6 ], 192 'gsl_cdf_tdist_P (0.325, 2.0)' => [ 6.11985772746873767e-01, $TOL6 ], 193 'gsl_cdf_tdist_P (1.0, 2.0)' => [ 7.88675134594812882e-01, $TOL6 ], 194 'gsl_cdf_tdist_P (1.5, 2.0)' => [ 8.63803437554499460e-01, $TOL6 ], 195 'gsl_cdf_tdist_P (2.0, 2.0)' => [ 9.08248290463863016e-01, $TOL6 ], 196 'gsl_cdf_tdist_P (10.0, 2.0)' => [ 9.95073771488337154e-01, $TOL6 ], 197 'gsl_cdf_tdist_P (20.0, 2.0)' => [ 9.98754668053816452e-01, $TOL6 ], 198 'gsl_cdf_tdist_P (100.0, 2.0)' => [ 9.99950007498750219e-01, $TOL6 ], 199 'gsl_cdf_tdist_P (1000.0, 2.0)' => [ 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$TOL6 ], 691 'gsl_cdf_chisq_Pinv (4.31718389201041932e-5, 13.0)' => [ 1.5, $TOL6 ], 692 'gsl_cdf_chisq_Pinv (2.26250084656047180e-4, 13.0)' => [ 2.0, $TOL6 ], 693 'gsl_cdf_chisq_Pinv (3.06065632019251110e-1, 13.0)' => [ 10.0, $TOL6 ], 694 'gsl_cdf_chisq_Pinv (9.04789743921908487e-1, 13.0)' => [ 20.0, $TOL6 ], 695 'gsl_cdf_chisq_Pinv (9.99999999999998341e-1, 13.0)' => [ 100.0, 0.1 ], 696 q{gsl_cdf_chisq_Pinv (1e0, 13.0)} => [ gsl_posinf(), $TOL6 ], 697 q{gsl_cdf_chisq_Qinv (0.0, 13.0)} => [ gsl_posinf(), $TOL6 ], 698 'gsl_cdf_chisq_Qinv (1.65902608070858809e-15, 13.0)'=> [ 100.0, $TOL6 ], 699 'gsl_cdf_chisq_Qinv (9.52102560780915127e-2, 13.0)' => [ 20.0, $TOL6 ], 700 'gsl_cdf_chisq_Qinv (6.93934367980748892e-1, 13.0)' => [ 10.0, $TOL6 ], 701 'gsl_cdf_chisq_Qinv (9.99773749915343954e-1, 13.0)' => [ 2.0, $TOL6 ], 702 'gsl_cdf_chisq_Qinv (9.99956828161079894e-1, 13.0)' => [ 1.5, $TOL6 ], 703 'gsl_cdf_chisq_Qinv (9.99996165265264863e-1, 13.0)' => [ 1.0, $TOL6 ], 704 'gsl_cdf_chisq_Qinv (9.99999996553886862e-1, 13.0)' => [ 0.325, 1e-6 ], 705 'gsl_cdf_chisq_Qinv (9.99999999998212031e-1, 13.0)' => [ 0.1, 1e-5 ], 706 'gsl_cdf_chisq_Qinv (1.0, 13.0)' => [ 0.0, 0.0], 707 'gsl_cdf_tdist_Pinv (0.5, 1.0)' => [ 0.0, 0.0 ], 708 'gsl_cdf_tdist_Pinv (5.00318309780080559e-1, 1.0)' => [ 0.001, $TOL6 ], 709 'gsl_cdf_tdist_Pinv (5.03182992764908255e-1, 1.0)' => [ 0.01, $TOL6 ], 710 'gsl_cdf_tdist_Pinv (5.31725517430553569e-1, 1.0)' => [ 0.1, $TOL6 ], 711 'gsl_cdf_tdist_Pinv (6.00023120032852123e-1, 1.0)' => [ 0.325, $TOL6 ], 712 'gsl_cdf_tdist_Pinv (0.75000000000000000e0, 1.0)' => [ 1.0, $TOL6 ], 713 'gsl_cdf_tdist_Pinv (8.12832958189001183e-1, 1.0)' => [ 1.5, $TOL6 ], 714 'gsl_cdf_tdist_Pinv (8.52416382349566726e-1, 1.0)' => [ 2.0, $TOL6 ], 715 'gsl_cdf_tdist_Pinv (9.68274482569446430e-1, 1.0)' => [ 10.0, $TOL6 ], 716 'gsl_cdf_tdist_Pinv (9.84097748743823625e-1, 1.0)' => [ 20.0, $TOL6 ], 717 'gsl_cdf_tdist_Pinv (9.96817007235091745e-1, 1.0)' => [ 100.0, $TOL6 ], 718 'gsl_cdf_tdist_Pinv (9.99681690219919441e-1, 1.0)' => [ 1000.0, $TOL6 ], 719 'gsl_cdf_tdist_Pinv (9.99968169011487724e-1, 1.0)' => [ 10000.0, 100*$TOL6 ], 720 'gsl_cdf_tdist_Pinv (4.99681690219919441e-1, 1.0)' => [ -0.001, $TOL6 ], 721 'gsl_cdf_tdist_Pinv (4.96817007235091744e-1, 1.0)' => [ -0.01, $TOL6 ], 722 'gsl_cdf_tdist_Pinv (4.68274482569446430e-1, 1.0)' => [ -0.1, $TOL6 ], 723 'gsl_cdf_tdist_Pinv (3.99976879967147876e-1, 1.0)' => [ -0.325, $TOL6 ], 724 'gsl_cdf_tdist_Pinv (0.25, 1.0)' => [ -1.0, $TOL6 ], 725 'gsl_cdf_tdist_Pinv (1.87167041810998816e-1, 1.0)' => [ -1.5, $TOL6 ], 726 'gsl_cdf_tdist_Pinv (1.47583617650433274e-1, 1.0)' => [ -2.0, $TOL6 ], 727 'gsl_cdf_tdist_Pinv (3.17255174305535695e-2, 1.0)' => [ -10.0, $TOL6 ], 728 'gsl_cdf_tdist_Pinv (1.59022512561763751e-2, 1.0)' => [ -20.0, $TOL6 ], 729 'gsl_cdf_tdist_Pinv (3.18299276490825514e-3, 1.0)' => [ -100.0, $TOL6 ], 730 'gsl_cdf_tdist_Pinv (3.18309780080558938e-4, 1.0)' => [ -1000.0, $TOL6 ], 731 'gsl_cdf_tdist_Pinv (3.18309885122757724e-5, 1.0)' => [ -10000.0, $TOL6 ], 732 'gsl_cdf_tdist_Qinv (0.5, 1.0)' => [ 0.0, $TOL6 ], 733 'gsl_cdf_tdist_Qinv (4.99681690219919441e-1, 1.0)' => [ 0.001, $TOL6 ], 734 'gsl_cdf_tdist_Qinv (4.96817007235091745e-1, 1.0)' => [ 0.01, $TOL6 ], 735 'gsl_cdf_tdist_Qinv (4.68274482569446430e-1, 1.0)' => [ 0.1, $TOL6 ], 736 'gsl_cdf_tdist_Qinv (3.99976879967147876e-1, 1.0)' => [ 0.325, $TOL6 ], 737 'gsl_cdf_tdist_Qinv (2.5e-1, 1.0)' => [ 1.0, $TOL6 ], 738 'gsl_cdf_tdist_Qinv (1.87167041810998816e-1, 1.0)' => [ 1.5, $TOL6 ], 739 'gsl_cdf_tdist_Qinv (1.47583617650433274e-1, 1.0)' => [ 2.0, $TOL6 ], 740 'gsl_cdf_tdist_Qinv (3.17255174305535695e-2, 1.0)' => [ 10.0, $TOL6 ], 741 'gsl_cdf_tdist_Qinv (1.59022512561763752e-2, 1.0)' => [ 20.0, $TOL6 ], 742 'gsl_cdf_tdist_Qinv (3.18299276490825515e-3, 1.0)' => [ 100.0, $TOL6 ], 743 'gsl_cdf_tdist_Qinv (3.18309780080558939e-4, 1.0)' => [ 1000.0, $TOL6 ], 744 'gsl_cdf_tdist_Qinv (3.18309885122757724e-5, 1.0)' => [ 10000.0, 100*$TOL6 ], 745 'gsl_cdf_tdist_Pinv (4.99681690219919441e-1, 1.0)' => [ -0.001, $TOL6 ], 746 'gsl_cdf_tdist_Pinv (4.96817007235091744e-1, 1.0)' => [ -0.01, $TOL6 ], 747 'gsl_cdf_tdist_Pinv (4.68274482569446430e-1, 1.0)' => [ -0.1, $TOL6 ], 748 'gsl_cdf_tdist_Pinv (3.99976879967147876e-1, 1.0)' => [ -0.325, $TOL6 ], 749 'gsl_cdf_tdist_Pinv (0.25, 1.0)' => [ -1.0, $TOL6 ], 750 'gsl_cdf_tdist_Pinv (1.87167041810998816e-1, 1.0)' => [ -1.5, $TOL6 ], 751 'gsl_cdf_tdist_Pinv (1.47583617650433274e-1, 1.0)' => [ -2.0, $TOL6 ], 752 'gsl_cdf_tdist_Pinv (3.17255174305535695e-2, 1.0)' => [ -10.0, $TOL6 ], 753 'gsl_cdf_tdist_Pinv (1.59022512561763751e-2, 1.0)' => [ -20.0, $TOL6 ], 754 'gsl_cdf_tdist_Pinv (3.18299276490825514e-3, 1.0)' => [ -100.0, $TOL6 ], 755 'gsl_cdf_tdist_Pinv (3.18309780080558938e-4, 1.0)' => [ -1000.0, $TOL6 ], 756 'gsl_cdf_tdist_Pinv (3.18309885122757724e-5, 1.0)' => [ -10000.0, 100*$TOL6 ], 757 'gsl_cdf_tdist_Qinv (5.00318309780080559e-1, 1.0)' => [ -0.001, $TOL6 ], 758 'gsl_cdf_tdist_Qinv (5.03182992764908255e-1, 1.0)' => [ -0.01, $TOL6 ], 759 'gsl_cdf_tdist_Qinv (5.31725517430553570e-1, 1.0)' => [ -0.1, $TOL6 ], 760 'gsl_cdf_tdist_Qinv (6.00023120032852124e-1, 1.0)' => [ -0.325, $TOL6 ], 761 'gsl_cdf_tdist_Qinv (7.5e-1, 1.0)' => [ -1.0, $TOL6 ], 762 'gsl_cdf_tdist_Qinv (8.12832958189001184e-1, 1.0)' => [ -1.5, $TOL6 ], 763 'gsl_cdf_tdist_Qinv (8.52416382349566726e-1, 1.0)' => [ -2.0, $TOL6 ], 764 'gsl_cdf_tdist_Qinv (9.68274482569446430e-1, 1.0)' => [ -10.0, $TOL6 ], 765 'gsl_cdf_tdist_Qinv (9.84097748743823625e-1, 1.0)' => [ -20.0, $TOL6 ], 766 'gsl_cdf_tdist_Qinv (9.96817007235091745e-1, 1.0)' => [ -100.0, $TOL6 ], 767 'gsl_cdf_tdist_Qinv (9.99681690219919441e-1, 1.0)' => [ -1000.0, $TOL6 ], 768 'gsl_cdf_tdist_Qinv (9.99968169011487724e-1, 1.0)' => [ -10000.0, 100*$TOL6 ], 769 'gsl_cdf_tdist_Pinv (4.99646446697795041e-01, 2.0)' => [ -0.001, $TOL6 ], 770 'gsl_cdf_tdist_Pinv (4.96464554479100486e-01, 2.0)' => [ -0.01, $TOL6 ], 771 'gsl_cdf_tdist_Pinv (4.64732719207070087e-01, 2.0)' => [ -0.1, $TOL6 ], 772 'gsl_cdf_tdist_Pinv (3.88014227253126233e-01, 2.0)' => [ -0.325, $TOL6 ], 773 'gsl_cdf_tdist_Pinv (2.11324865405187118e-01, 2.0)' => [ -1.0, $TOL6 ], 774 'gsl_cdf_tdist_Pinv (1.36196562445500540e-01, 2.0)' => [ -1.5, $TOL6 ], 775 'gsl_cdf_tdist_Pinv (9.17517095361369836e-02, 2.0)' => [ -2.0, $TOL6 ], 776 'gsl_cdf_tdist_Pinv (4.92622851166284542e-03, 2.0)' => [ -10.0, $TOL6 ], 777 'gsl_cdf_tdist_Pinv (1.24533194618354849e-03, 2.0)' => [ -20.0, $TOL6 ], 778 'gsl_cdf_tdist_Pinv (4.99925012497812894e-05, 2.0)' => [ -100.0, $TOL6 ], 779 'gsl_cdf_tdist_Pinv (4.99999250001249998e-07, 2.0)' => [ -1000.0, $TOL6 ], 780 'gsl_cdf_tdist_Pinv (4.99999992500000125e-09, 2.0)' => [ -10000.0, $TOL6 ], 781 'gsl_cdf_tdist_Qinv (5.00353553302204959e-1, 2.0)' => [ -0.001, $TOL6 ], 782 'gsl_cdf_tdist_Qinv (5.03535445520899514e-1, 2.0)' => [ -0.01, $TOL6 ], 783 'gsl_cdf_tdist_Qinv (5.35267280792929913e-1, 2.0)' => [ -0.1, $TOL6 ], 784 'gsl_cdf_tdist_Qinv (6.11985772746873767e-1, 2.0)' => [ -0.325, $TOL6 ], 785 'gsl_cdf_tdist_Qinv (7.88675134594812882e-1, 2.0)' => [ -1.0, $TOL6 ], 786 'gsl_cdf_tdist_Qinv (8.63803437554499460e-1, 2.0)' => [ -1.5, $TOL6 ], 787 'gsl_cdf_tdist_Qinv (9.08248290463863016e-1, 2.0)' => [ -2.0, $TOL6 ], 788 'gsl_cdf_tdist_Qinv (9.95073771488337155e-1, 2.0)' => [ -10.0, $TOL6 ], 789 'gsl_cdf_tdist_Qinv (9.98754668053816452e-1, 2.0)' => [ -20.0, $TOL6 ], 790 'gsl_cdf_tdist_Qinv (9.99950007498750219e-1, 2.0)' => [ -100.0, $TOL6 ], 791 'gsl_cdf_tdist_Qinv (9.99999500000749999e-1, 2.0)' => [ -1000.0, 100*$TOL6 ], 792 'gsl_cdf_tdist_Qinv (9.99999995000000075e-1, 2.0)' => [ -10000.0, 1e-4 ], 793 'gsl_cdf_tdist_Pinv (5.00000000000000000e-01, 300.0)' => [ 0.0, $TOL6 ], 794 'gsl_cdf_tdist_Pinv (5.00398609900942949e-01, 300.0)' => [ 0.001, $TOL6 ], 795 'gsl_cdf_tdist_Pinv (5.03986033020559088e-01, 300.0)' => [ 0.01, $TOL6 ], 796 'gsl_cdf_tdist_Pinv (5.39794441177768194e-01, 300.0)' => [ 0.1, $TOL6 ], 797 'gsl_cdf_tdist_Pinv (6.27296201542523812e-01, 300.0)' => [ 0.325, $TOL6 ], 798 'gsl_cdf_tdist_Pinv (8.40941797784686861e-01, 300.0)' => [ 1.0, $TOL6 ], 799 'gsl_cdf_tdist_Pinv (9.32666983425369137e-01, 300.0)' => [ 1.5, $TOL6 ], 800 'gsl_cdf_tdist_Pinv (9.76799239508425455e-01, 300.0)' => [ 2.0, $TOL6 ], 801 q{gsl_cdf_tdist_Pinv (1.00000000000000000e+00, 300.0)} => [ gsl_posinf(), $TOL6 ], 802 'gsl_cdf_tdist_Qinv (5.00000000000000000e-01, 300.0)' => [ 0.0, $TOL6 ], 803 'gsl_cdf_tdist_Qinv (4.99601390099057051e-1, 300.0)' => [ 0.001, $TOL6 ], 804 'gsl_cdf_tdist_Qinv (4.96013966979440912e-1, 300.0)' => [ 0.01, $TOL6 ], 805 'gsl_cdf_tdist_Qinv (4.60205558822231806e-1, 300.0)' => [ 0.1, $TOL6 ], 806 'gsl_cdf_tdist_Qinv (3.72703798457476188e-1, 300.0)' => [ 0.325, $TOL6 ], 807 'gsl_cdf_tdist_Qinv (1.59058202215313138e-1, 300.0)' => [ 1.0, $TOL6 ], 808 'gsl_cdf_tdist_Qinv (6.73330165746308628e-2, 300.0)' => [ 1.5, $TOL6 ], 809 'gsl_cdf_tdist_Qinv (2.32007604915745452e-2, 300.0)' => [ 2.0, $TOL6 ], 810 'gsl_cdf_tdist_Qinv (8.279313677e-21, 300.0)' => [ 10.0, $TOL6 ], 811 'gsl_cdf_tdist_Qinv (1.93159812815803978e-57, 300.0)' => [ 20.0, $TOL6 ], 812 'gsl_cdf_tdist_Qinv (1.02557519997736154e-232, 300.0)' => [ 100.0, $TOL6 ], 813 q{gsl_cdf_tdist_Qinv (0.00000000000000000e+00, 300.0)} => [ gsl_posinf(), $TOL6 ], 814 'gsl_cdf_tdist_Pinv (4.99601390099057051e-01, 300.0)' => [ -0.001, $TOL6 ], 815 'gsl_cdf_tdist_Pinv (4.96013966979440912e-01, 300.0)' => [ -0.01, $TOL6 ], 816 'gsl_cdf_tdist_Pinv (4.60205558822231806e-01, 300.0)' => [ -0.1, $TOL6 ], 817 'gsl_cdf_tdist_Pinv (3.72703798457476188e-01, 300.0)' => [ -0.325, $TOL6 ], 818 'gsl_cdf_tdist_Pinv (1.59058202215313138e-01, 300.0)' => [ -1.0, $TOL6 ], 819 'gsl_cdf_tdist_Pinv (6.73330165746308628e-02, 300.0)' => [ -1.5, $TOL6 ], 820 'gsl_cdf_tdist_Pinv (2.32007604915745452e-02, 300.0)' => [ -2.0, $TOL6 ], 821 'gsl_cdf_tdist_Pinv (8.279313675556272534e-21, 300.0)' => [ -10.0, $TOL6 ], 822 'gsl_cdf_tdist_Pinv (1.93159812815803978e-57, 300.0)' => [ -20.0, $TOL6 ], 823 'gsl_cdf_tdist_Pinv (1.02557519997736154e-232, 300.0)' => [ -100.0, $TOL6 ], 824 q{gsl_cdf_tdist_Pinv (0.0, 300.0)} => [ -gsl_posinf(), $TOL6 ], 825 'gsl_cdf_tdist_Qinv (5.00398609900942949e-1, 300.0)' => [ -0.001, $TOL6 ], 826 'gsl_cdf_tdist_Qinv (5.03986033020559088e-1, 300.0)' => [ -0.01, $TOL6 ], 827 'gsl_cdf_tdist_Qinv (5.39794441177768194e-1, 300.0)' => [ -0.1, $TOL6 ], 828 'gsl_cdf_tdist_Qinv (6.27296201542523812e-1, 300.0)' => [ -0.325, $TOL6 ], 829 'gsl_cdf_tdist_Qinv (8.40941797784686862e-1, 300.0)' => [ -1.0, $TOL6 ], 830 'gsl_cdf_tdist_Qinv (9.32666983425369137e-1, 300.0)' => [ -1.5, $TOL6 ], 831 'gsl_cdf_tdist_Qinv (9.76799239508425455e-1, 300.0)' => [ -2.0, $TOL6 ], 832 q{gsl_cdf_tdist_Qinv (1.000000000000000000e0, 300.0)} => [ -gsl_posinf(), $TOL6 ], 833 }; 834 verify($results, 'Math::GSL::CDF'); 835} 836