| blob | d3ceb9a9ae937e5f5488e986277481a85d56e71a |
1 use Test::More 'no_plan';
2 use Math::GSL;
3 use Math::GSL::Errno qw/:all/;
4 use Math::GSL::CDF qw/:all/;
5 use Math::GSL::Machine qw/:all/;
6 use Data::Dumper;
7 use strict;
8 use warnings;
10 BEGIN{ gsl_set_error_handler_off(); }
12 my $TOL0 = 2.0*$GSL_DBL_EPSILON;
13 my $TOL1 = 16.0*$GSL_DBL_EPSILON;
14 my $TOL2 = 256.0*$GSL_DBL_EPSILON;
15 my $TOL3 = 2048.0*$GSL_DBL_EPSILON;
16 my $TOL4 = 16384.0*$GSL_DBL_EPSILON;
17 my $TOL5 = 131072.0*$GSL_DBL_EPSILON;
18 my $TOL6 = 1048576.0*$GSL_DBL_EPSILON;
20 {
21 my $gsl = Math::GSL->new;
22 my $results = {
23 'gsl_cdf_ugaussian_P(2.0)' => [ 0.977250, 1e-5 ],
24 'gsl_cdf_ugaussian_Q(2.0)' => [ 0.022750, 1e-5 ],
25 'gsl_cdf_ugaussian_Pinv(0.977250)' => [ 2.000000, 1e-5 ],
26 'gsl_cdf_ugaussian_Qinv(0.022750)' => [ 2.000000, 1e-5 ],
27 'gsl_cdf_ugaussian_P (0.0)' => [ 0.5, $TOL0 ],
28 'gsl_cdf_ugaussian_P (1e-32)' => [ 0.5, $TOL0 ],
29 'gsl_cdf_ugaussian_P (1e-16)' => [ 0.5000000000000000398942280401, $TOL0 ],
30 'gsl_cdf_ugaussian_P (1e-8)' => [ 0.5000000039894228040143267129, $TOL0 ],
31 'gsl_cdf_ugaussian_P (0.5)' => [ 0.6914624612740131036377046105, $TOL0 ],
32 'gsl_cdf_ugaussian_P (0.7)' => [ 0.7580363477769269852506495717, $TOL0 ],
33 'gsl_cdf_ugaussian_P (5.0)' => [ 0.9999997133484281208060883262, $TOL0 ],
34 'gsl_cdf_ugaussian_P (10.0)' => [ 0.9999999999999999999999923801, $TOL0 ],
35 'gsl_cdf_ugaussian_P (30.0)' => [ 1.000000000000000000000000000, $TOL0 ],
36 'gsl_cdf_ugaussian_P (40.0)' => [ 1.000000000000000000000000000, $TOL0 ],
37 'gsl_cdf_ugaussian_P (1e10)' => [ 1.000000000000000000000000000, $TOL0 ],
38 'gsl_cdf_ugaussian_P (-1e-32)' => [ 0.5, $TOL6 ],
39 'gsl_cdf_ugaussian_P (-1e-16)' => [ 0.4999999999999999601057719598, $TOL0 ],
40 'gsl_cdf_ugaussian_P (-1e-8)' => [ 0.4999999960105771959856732870, $TOL0 ],
41 'gsl_cdf_ugaussian_P (-0.5)' => [ 0.3085375387259868963622953894, $TOL0 ],
42 'gsl_cdf_ugaussian_P (-0.7)' => [ 0.2419636522230730147493504282, $TOL0 ],
43 'gsl_cdf_ugaussian_P (-5.0)' => [ 0.0000002866515718791939116737523329, $TOL1 ],
44 'gsl_cdf_ugaussian_P (-10.0)' => [ 7.619853024160526065973343257e-24, $TOL3 ],
45 'gsl_cdf_ugaussian_P (-30.0)' => [ 4.906713927148187059533809288e-198, $TOL3 ],
46 'gsl_cdf_ugaussian_P (-1e10)' => [ 0.0, 0.0 ],
47 'gsl_cdf_ugaussian_Q (0.0)' => [ 0.5, $TOL0 ],
48 'gsl_cdf_ugaussian_Q (1e-32)' => [ 0.5, $TOL0 ],
49 'gsl_cdf_ugaussian_Q (1e-16)' => [ 0.4999999999999999601057719598, $TOL0 ],
50 'gsl_cdf_ugaussian_Q (1e-8)' => [ 0.4999999960105771959856732870, $TOL0 ],
51 'gsl_cdf_ugaussian_Q (0.5)' => [ 0.3085375387259868963622953894, $TOL0 ],
52 'gsl_cdf_ugaussian_Q (0.7)' => [ 0.2419636522230730147493504282, $TOL0 ],
53 'gsl_cdf_ugaussian_Q (5.0)' => [ 0.0000002866515718791939116737523329, $TOL3 ],
54 'gsl_cdf_ugaussian_Q (10.0)' => [ 7.619853024160526065973343257e-24, $TOL3 ],
55 'gsl_cdf_ugaussian_Q (30.0)' => [ 4.906713927148187059533809288e-198, $TOL3 ],
56 'gsl_cdf_ugaussian_Q (1e10)' => [ 0.0, 0.0 ],
57 'gsl_cdf_ugaussian_Q (-1e-32)' => [ 0.5, $TOL0 ],
58 'gsl_cdf_ugaussian_Q (-1e-16)' => [ 0.5000000000000000398942280401, $TOL0 ],
59 'gsl_cdf_ugaussian_Q (-1e-8)' => [ 0.5000000039894228040143267129, $TOL0 ],
60 'gsl_cdf_ugaussian_Q (-0.5)' => [ 0.6914624612740131036377046105, $TOL0 ],
61 'gsl_cdf_ugaussian_Q (-0.7)' => [ 0.7580363477769269852506495717, $TOL0 ],
62 'gsl_cdf_ugaussian_Q (-5.0)' => [ 0.9999997133484281208060883262, $TOL0 ],
63 'gsl_cdf_ugaussian_Q (-10.0)' => [ 0.9999999999999999999999923801, $TOL0 ],
64 'gsl_cdf_ugaussian_Q (-30.0)' => [ 1.000000000000000000000000000, $TOL0 ],
65 'gsl_cdf_ugaussian_Q (-40.0)' => [ 1.000000000000000000000000000, $TOL0 ],
66 'gsl_cdf_ugaussian_Q (-1e10)' => [ 1.000000000000000000000000000, $TOL0 ],
67 'gsl_cdf_ugaussian_Pinv (0.9999997133)' => [ 5.0, 1e-4 ],
68 'gsl_cdf_ugaussian_Pinv (0.9999683288)' => [ 4.0, 1e-6 ],
69 'gsl_cdf_ugaussian_Pinv (0.9986501020)' => [ 3.0, 1e-8 ],
70 'gsl_cdf_ugaussian_Pinv (0.977249868051821)' => [ 2.0, 1e-14 ],
71 'gsl_cdf_ugaussian_Pinv (0.841344746068543)' => [ 1.0, $TOL3 ],
72 'gsl_cdf_ugaussian_Pinv (0.617911422188953)' => [ 0.3, $TOL1 ],
73 'gsl_cdf_ugaussian_Pinv (0.579259709439103)' => [ 0.2, $TOL1 ],
74 'gsl_cdf_ugaussian_Pinv (0.539827837277029)' => [ 0.1, $TOL1 ],
75 'gsl_cdf_ugaussian_Pinv (0.5)' => [ 0.0, 0.0 ],
76 'gsl_cdf_ugaussian_Pinv (4.60172162722971e-1)' => [ -0.1, $TOL1 ],
77 'gsl_cdf_ugaussian_Pinv (4.20740290560897e-1)' => [ -0.2, $TOL1 ],
78 'gsl_cdf_ugaussian_Pinv (3.82088577811047e-1)' => [ -0.3, $TOL1 ],
79 'gsl_cdf_ugaussian_Pinv (3.44578258389676e-1)' => [ -0.4, $TOL1 ],
80 'gsl_cdf_ugaussian_Pinv (3.08537538725987e-1)' => [ -0.5, $TOL2 ],
81 'gsl_cdf_ugaussian_Pinv (1.58655253931457e-1)' => [ -1.0, $TOL3 ],
82 'gsl_cdf_ugaussian_Pinv (2.2750131948179e-2)' => [ -2.0, 1e-14 ],
83 'gsl_cdf_ugaussian_Pinv (1.349898e-3)' => [ -3.0, 1e-8 ],
84 'gsl_cdf_ugaussian_Pinv (3.16712e-5)' => [ -4.0, 1e-6 ],
85 'gsl_cdf_ugaussian_Pinv (2.86648e-7)' => [ -5.0, 1e-4 ],
86 'gsl_cdf_ugaussian_Pinv (7.61985302416052e-24)' => [ -10.0, 1e-4 ],
87 'gsl_cdf_ugaussian_Qinv (7.61985302416052e-24)' => [ 10.0, 1e-4 ],
88 'gsl_cdf_ugaussian_Qinv (2.86648e-7)' => [ 5.0, 1e-4 ],
89 'gsl_cdf_ugaussian_Qinv (3.16712e-5)' => [ 4.0, 1e-6 ],
90 'gsl_cdf_ugaussian_Qinv (1.349898e-3)' => [ 3.0, 1e-8 ],
91 'gsl_cdf_ugaussian_Qinv (2.2750131948179e-2)' => [ 2.0, 1e-14 ],
92 'gsl_cdf_ugaussian_Qinv (1.58655253931457e-1)' => [ 1.0, $TOL3 ],
93 'gsl_cdf_ugaussian_Qinv (3.08537538725987e-1)' => [ 0.5, $TOL2 ],
94 'gsl_cdf_ugaussian_Qinv (3.44578258389676e-1)' => [ 0.4, $TOL1 ],
95 'gsl_cdf_ugaussian_Qinv (3.82088577811047e-1)' => [ 0.3, $TOL1 ],
96 'gsl_cdf_ugaussian_Qinv (4.20740290560897e-1)' => [ 0.2, $TOL1 ],
97 'gsl_cdf_ugaussian_Qinv (4.60172162722971e-1)' => [ 0.1, $TOL1 ],
98 'gsl_cdf_ugaussian_Qinv (0.5)' => [ 0.0, 0.0 ],
99 'gsl_cdf_ugaussian_Qinv (0.539827837277029)' => [ -0.1, $TOL1 ],
100 'gsl_cdf_ugaussian_Qinv (0.579259709439103)' => [ -0.2, $TOL1 ],
101 'gsl_cdf_ugaussian_Qinv (0.617911422188953)' => [ -0.3, $TOL1 ],
102 'gsl_cdf_ugaussian_Qinv (0.655421741610324)' => [ -0.4, $TOL1 ],
103 'gsl_cdf_ugaussian_Qinv (0.691462461274013)' => [ -0.5, $TOL2 ],
104 'gsl_cdf_ugaussian_Qinv (0.841344746068543)' => [ -1.0, $TOL3 ],
105 'gsl_cdf_ugaussian_Qinv (0.977249868051821)' => [ -2.0, 1e-14 ],
106 'gsl_cdf_ugaussian_Qinv (0.9986501020)' => [ -3.0, 1e-8 ],
107 'gsl_cdf_ugaussian_Qinv (0.9999683288)' => [ -4.0, 1e-6 ],
108 'gsl_cdf_ugaussian_Qinv (0.9999997133)' => [ -5.0, 1e-4 ],
109 'gsl_cdf_exponential_P (0.1, 0.7)' => [ 1.33122100249818372e-1, $TOL0 ],
110 'gsl_cdf_exponential_P (1e-32, 0.7)' => [ 1.42857142857142857e-32, $TOL0 ],
111 'gsl_cdf_exponential_P (1000.0, 0.7)' => [ 1.0, $TOL6 ],
112 'gsl_cdf_exponential_Q (0.1, 0.7)' => [ 8.66877899750181628e-1, $TOL0 ],
113 'gsl_cdf_exponential_Q (1e-32, 0.7)' => [ 1.0, $TOL0 ],
114 'gsl_cdf_exponential_Q (1000.0, 0.7)' => [ 0.0, $TOL6 ],
115 'gsl_cdf_exponential_Pinv (0.13, 0.7)' => [ 9.74834471334553546e-2, $TOL0 ],
116 'gsl_cdf_exponential_Pinv (1.42e-32, 0.7)' => [ 9.94000000000000000e-33, $TOL0 ],
117 'gsl_cdf_exponential_Qinv (0.86, 0.7)' => [ 1.05576022814208545e-1, $TOL0 ],
118 'gsl_cdf_exponential_Qinv (0.99999, 0.7)' => [ 7.00003500023333508e-6, $TOL6 ],
119 'gsl_cdf_exppow_P (-1000.0, 0.7, 1.8)' => [ 0.0, 0.0 ],
120 'gsl_cdf_exppow_P (-0.1, 0.7, 1.8)' => [ 0.4205349082867515493458053850, $TOL6 ],
121 'gsl_cdf_exppow_P (-1e-32, 0.7, 1.8)' => [ 0.4999999999999999999999999999, $TOL0 ],
122 'gsl_cdf_exppow_P (0.1, 0.7, 1.8)' => [ 0.5794650917132484506541946149, $TOL0 ],
123 'gsl_cdf_exppow_P (1e-32, 0.7, 1.8)' => [ 0.5, $TOL0 ],
124 'gsl_cdf_exppow_P (1000.0, 0.7, 1.8)' => [ 0.9999999999999999999999956212, $TOL6 ],
125 'gsl_cdf_exppow_Q (-1000.0, 0.7, 1.8)' => [ 0.9999999999999999999999956212, $TOL6 ],
126 'gsl_cdf_exppow_Q (-0.1, 0.7, 1.8)' => [ 0.5794650917132484506541946149, $TOL0 ],
127 'gsl_cdf_exppow_Q (-1e-32, 0.7, 1.8)' => [ 0.5, $TOL0 ],
128 'gsl_cdf_exppow_Q (0.1, 0.7, 1.8)' => [ 0.4205349082867515493458053850, $TOL0 ],
129 'gsl_cdf_exppow_Q (1e-32, 0.7, 1.8)' => [ 0.4999999999999999999999999999, $TOL0 ],
130 'gsl_cdf_exppow_Q (1000.0, 0.7, 1.8)' => [ 0.0, $TOL6 ],
131 'gsl_cdf_tdist_P (0.0, 1.0)' => [ 0.5, $TOL6 ],
132 'gsl_cdf_tdist_P (1e-100, 1.0)' => [ 0.5, $TOL6 ],
133 'gsl_cdf_tdist_P (0.001, 1.0)' => [ 5.00318309780080559e-1, $TOL6 ],
134 'gsl_cdf_tdist_P (0.01, 1.0)' => [ 5.03182992764908255e-1, $TOL6 ],
135 'gsl_cdf_tdist_P (0.1, 1.0)' => [ 5.31725517430553569e-1, $TOL6 ],
136 'gsl_cdf_tdist_P (0.325, 1.0)' => [ 6.00023120032852123e-1, $TOL6 ],
137 'gsl_cdf_tdist_P (1.0, 1.0)' => [ 0.75000000000000000e0, $TOL6 ],
138 'gsl_cdf_tdist_P (1.5, 1.0)' => [ 8.12832958189001183e-1, $TOL6 ],
139 'gsl_cdf_tdist_P (2.0, 1.0)' => [ 8.52416382349566726e-1, $TOL6 ],
140 'gsl_cdf_tdist_P (10.0, 1.0)' => [ 9.68274482569446430e-1, $TOL6 ],
141 'gsl_cdf_tdist_P (20.0, 1.0)' => [ 9.84097748743823625e-1, $TOL6 ],
142 'gsl_cdf_tdist_P (100.0, 1.0)' => [ 9.96817007235091745e-1, $TOL6 ],
143 'gsl_cdf_tdist_P (1000.0, 1.0)' => [ 9.99681690219919441e-1, $TOL6 ],
144 'gsl_cdf_tdist_P (10000.0, 1.0)' => [ 9.99968169011487724e-1, $TOL6 ],
145 'gsl_cdf_tdist_Q (0.0, 1.0)' => [ 0.5, $TOL6 ],
146 'gsl_cdf_tdist_Q (1e-100, 1.0)' => [ 0.5, $TOL6 ],
147 'gsl_cdf_tdist_Q (0.001, 1.0)' => [ 4.99681690219919441e-1, $TOL6 ],
148 'gsl_cdf_tdist_Q (0.01, 1.0)' => [ 4.96817007235091745e-1, $TOL6 ],
149 'gsl_cdf_tdist_Q (0.1, 1.0)' => [ 4.68274482569446430e-1, $TOL6 ],
150 'gsl_cdf_tdist_Q (0.325, 1.0)' => [ 3.99976879967147876e-1, $TOL6 ],
151 'gsl_cdf_tdist_Q (1.0, 1.0)' => [ 2.5e-1, $TOL6 ],
152 'gsl_cdf_tdist_Q (1.5, 1.0)' => [ 1.87167041810998816e-1, $TOL6 ],
153 'gsl_cdf_tdist_Q (2.0, 1.0)' => [ 1.47583617650433274e-1, $TOL6 ],
154 'gsl_cdf_tdist_Q (10.0, 1.0)' => [ 3.17255174305535695e-2, $TOL6 ],
155 'gsl_cdf_tdist_Q (20.0, 1.0)' => [ 1.59022512561763752e-2, $TOL6 ],
156 'gsl_cdf_tdist_Q (100.0, 1.0)' => [ 3.18299276490825515e-3, $TOL6 ],
157 'gsl_cdf_tdist_Q (1000.0, 1.0)' => [ 3.18309780080558939e-4, $TOL6 ],
158 'gsl_cdf_tdist_Q (10000.0, 1.0)' => [ 3.18309885122757724e-5, $TOL6 ],
159 'gsl_cdf_tdist_P (-1e-100, 1.0)' => [ 0.5, $TOL6 ],
160 'gsl_cdf_tdist_P (-0.001, 1.0)' => [ 4.99681690219919441e-1, $TOL6 ],
161 'gsl_cdf_tdist_P (-0.01, 1.0)' => [ 4.96817007235091744e-1, $TOL6 ],
162 'gsl_cdf_tdist_P (-0.1, 1.0)' => [ 4.68274482569446430e-1, $TOL6 ],
163 'gsl_cdf_tdist_P (-0.325, 1.0)' => [ 3.99976879967147876e-1, $TOL6 ],
164 'gsl_cdf_tdist_P (-1.0, 1.0)' => [ 0.25, $TOL6 ],
165 'gsl_cdf_tdist_P (-1.5, 1.0)' => [ 1.87167041810998816e-1, $TOL6 ],
166 'gsl_cdf_tdist_P (-2.0, 1.0)' => [ 1.47583617650433274e-1, $TOL6 ],
167 'gsl_cdf_tdist_P (-10.0, 1.0)' => [ 3.17255174305535695e-2, $TOL6 ],
168 'gsl_cdf_tdist_P (-20.0, 1.0)' => [ 1.59022512561763751e-2, $TOL6 ],
169 'gsl_cdf_tdist_P (-100.0, 1.0)' => [ 3.18299276490825514e-3, $TOL6 ],
170 'gsl_cdf_tdist_P (-1000.0, 1.0)' => [ 3.18309780080558938e-4, $TOL6 ],
171 'gsl_cdf_tdist_P (-10000.0, 1.0)' => [ 3.18309885122757724e-5, $TOL6 ],
172 'gsl_cdf_tdist_Q (-1e-100, 1.0)' => [ 0.5, $TOL6 ],
173 'gsl_cdf_tdist_Q (-0.001, 1.0)' => [ 5.00318309780080559e-1, $TOL6 ],
174 'gsl_cdf_tdist_Q (-0.01, 1.0)' => [ 5.03182992764908255e-1, $TOL6 ],
175 'gsl_cdf_tdist_Q (-0.1, 1.0)' => [ 5.31725517430553570e-1, $TOL6 ],
176 'gsl_cdf_tdist_Q (-0.325, 1.0)' => [ 6.00023120032852124e-1, $TOL6 ],
177 'gsl_cdf_tdist_Q (-1.0, 1.0)' => [ 7.5e-1, $TOL6 ],
178 'gsl_cdf_tdist_Q (-1.5, 1.0)' => [ 8.12832958189001184e-1, $TOL6 ],
179 'gsl_cdf_tdist_Q (-2.0, 1.0)' => [ 8.52416382349566726e-1, $TOL6 ],
180 'gsl_cdf_tdist_Q (-10.0, 1.0)' => [ 9.68274482569446430e-1, $TOL6 ],
181 'gsl_cdf_tdist_Q (-20.0, 1.0)' => [ 9.84097748743823625e-1, $TOL6 ],
182 'gsl_cdf_tdist_Q (-100.0, 1.0)' => [ 9.96817007235091745e-1, $TOL6 ],
183 'gsl_cdf_tdist_Q (-1000.0, 1.0)' => [ 9.99681690219919441e-1, $TOL6 ],
184 'gsl_cdf_tdist_Q (-10000.0, 1.0)' => [ 9.99968169011487724e-1, $TOL6 ],
185 'gsl_cdf_tdist_P (0.0, 2.0)' => [ 5.00000000000000000e-01, $TOL6 ],
186 'gsl_cdf_tdist_P (1e-100, 2.0)' => [ 5.00000000000000000e-01, $TOL6 ],
187 'gsl_cdf_tdist_P (0.001, 2.0)' => [ 5.00353553302204959e-01, $TOL6 ],
188 'gsl_cdf_tdist_P (0.01, 2.0)' => [ 5.03535445520899514e-01, $TOL6 ],
189 'gsl_cdf_tdist_P (0.1, 2.0)' => [ 5.35267280792929913e-01, $TOL6 ],
190 'gsl_cdf_tdist_P (0.325, 2.0)' => [ 6.11985772746873767e-01, $TOL6 ],
191 'gsl_cdf_tdist_P (1.0, 2.0)' => [ 7.88675134594812882e-01, $TOL6 ],
192 'gsl_cdf_tdist_P (1.5, 2.0)' => [ 8.63803437554499460e-01, $TOL6 ],
193 'gsl_cdf_tdist_P (2.0, 2.0)' => [ 9.08248290463863016e-01, $TOL6 ],
194 'gsl_cdf_tdist_P (10.0, 2.0)' => [ 9.95073771488337154e-01, $TOL6 ],
195 'gsl_cdf_tdist_P (20.0, 2.0)' => [ 9.98754668053816452e-01, $TOL6 ],
196 'gsl_cdf_tdist_P (100.0, 2.0)' => [ 9.99950007498750219e-01, $TOL6 ],
197 'gsl_cdf_tdist_P (1000.0, 2.0)' => [ 9.99999500000749945e-01, $TOL6 ],
198 'gsl_cdf_tdist_P (10000.0, 2.0)' => [ 9.999999950000000739e-01, $TOL6 ],
199 'gsl_cdf_tdist_Q (0.0, 2.0)' => [ 5.00000000000000000e-01, $TOL6 ],
200 'gsl_cdf_tdist_Q (1e-100, 2.0)' => [ 5.00000000000000000e-01, $TOL6 ],
201 'gsl_cdf_tdist_Q (0.001, 2.0)' => [ 4.99646446697795041e-1, $TOL6 ],
202 'gsl_cdf_tdist_Q (0.01, 2.0)' => [ 4.96464554479100486e-1, $TOL6 ],
203 'gsl_cdf_tdist_Q (0.1, 2.0)' => [ 4.64732719207070087e-1, $TOL6 ],
204 'gsl_cdf_tdist_Q (0.325, 2.0)' => [ 3.88014227253126233e-1, $TOL6 ],
205 'gsl_cdf_tdist_Q (1.0, 2.0)' => [ 2.11324865405187118e-1, $TOL6 ],
206 'gsl_cdf_tdist_Q (1.5, 2.0)' => [ 1.36196562445500540e-1, $TOL6 ],
207 'gsl_cdf_tdist_Q (2.0, 2.0)' => [ 9.17517095361369836e-2, $TOL6 ],
208 'gsl_cdf_tdist_Q (10.0, 2.0)' => [ 4.92622851166284542e-3, $TOL6 ],
209 'gsl_cdf_tdist_Q (20.0, 2.0)' => [ 1.24533194618354849e-3, $TOL6 ],
210 'gsl_cdf_tdist_Q (100.0, 2.0)' => [ 4.99925012497812894e-5, $TOL6 ],
211 'gsl_cdf_tdist_Q (1000.0, 2.0)' => [ 4.99999250001249998e-7, $TOL6 ],
212 'gsl_cdf_tdist_Q (10000.0, 2.0)' => [ 4.99999992500000125e-9, $TOL6 ],
213 'gsl_cdf_tdist_P (-1e-100, 2.0)' => [ 5.00000000000000000e-01, $TOL6 ],
214 'gsl_cdf_tdist_P (-0.001, 2.0)' => [ 4.99646446697795041e-01, $TOL6 ],
215 'gsl_cdf_tdist_P (-0.01, 2.0)' => [ 4.96464554479100486e-01, $TOL6 ],
216 'gsl_cdf_tdist_P (-0.1, 2.0)' => [ 4.64732719207070087e-01, $TOL6 ],
217 'gsl_cdf_tdist_P (-0.325, 2.0)' => [ 3.88014227253126233e-01, $TOL6 ],
218 'gsl_cdf_tdist_P (-1.0, 2.0)' => [ 2.11324865405187118e-01, $TOL6 ],
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409 'gsl_cdf_fdist_Pinv ( 6.98194275525039002e-61, 1.2, 1.3)' => [ 1e-100, $TOL6 ],
410 'gsl_cdf_fdist_Pinv ( 1.10608485860238564e-2, 1.2, 1.3)' => [ 0.001, $TOL6 ],
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415 'gsl_cdf_fdist_Pinv ( 5.83998640641553852e-1, 1.2, 1.3)' => [ 1.5, $TOL6 ],
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417 'gsl_cdf_fdist_Pinv ( 8.48446237879200975e-1, 1.2, 1.3)' => [ 10.0, $TOL6 ],
418 'gsl_cdf_fdist_Pinv ( 9.00987726336875039e-1, 1.2, 1.3)' => [ 20.0, $TOL6 ],
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420 'gsl_cdf_fdist_Pinv ( 9.92012051694116388e-1, 1.2, 1.3)' => [ 1000.0, $TOL6 ],
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427 'gsl_cdf_fdist_Qinv ( 4.90369220925244747e-1, 1.2, 1.3)' => [ 1.0, $TOL6 ],
428 'gsl_cdf_fdist_Qinv ( 4.16001359358446148e-1, 1.2, 1.3)' => [ 1.5, $TOL6 ],
429 'gsl_cdf_fdist_Qinv ( 3.65266418648061213e-1, 1.2, 1.3)' => [ 2.0, $TOL6 ],
430 'gsl_cdf_fdist_Qinv ( 1.51553762120799025e-1, 1.2, 1.3)' => [ 10.0, $TOL6 ],
431 'gsl_cdf_fdist_Qinv ( 9.90122736631249612e-2, 1.2, 1.3)' => [ 20.0, $TOL6 ],
432 'gsl_cdf_fdist_Qinv ( 3.55108729523115643e-2, 1.2, 1.3)' => [ 100.0, $TOL6 ],
433 'gsl_cdf_fdist_Qinv ( 7.98794830588361109e-3, 1.2, 1.3)' => [ 1000.0, $TOL6 ],
434 'gsl_cdf_fdist_Qinv ( 1.7891371911574145e-3, 1.2, 1.3)' => [ 10000.0, $TOL6 ],
435 'gsl_cdf_fdist_Pinv ( 0.0, 500.0, 1.3)' => [ 0.0, $TOL6 ],
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437 'gsl_cdf_fdist_Pinv ( 1.45915624888550014e-26, 500.0, 1.3)' => [ 0.01, $TOL6 ],
438 'gsl_cdf_fdist_Pinv ( 5.89976509619688165e-4, 500.0, 1.3)' => [ 0.1, $TOL6 ],
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440 'gsl_cdf_fdist_Pinv ( 3.38475053806404615e-1, 500.0, 1.3)' => [ 1.0, $TOL6 ],
441 'gsl_cdf_fdist_Pinv ( 4.52016245247457422e-1, 500.0, 1.3)' => [ 1.5, $TOL6 ],
442 'gsl_cdf_fdist_Pinv ( 5.27339068937388798e-1, 500.0, 1.3)' => [ 2.0, $TOL6 ],
443 'gsl_cdf_fdist_Pinv ( 8.16839628578413905e-1, 500.0, 1.3)' => [ 10.0, $TOL6 ],
444 'gsl_cdf_fdist_Pinv ( 8.81784623056911406e-1, 500.0, 1.3)' => [ 20.0, $TOL6 ],
445 'gsl_cdf_fdist_Pinv ( 9.58045057204221295e-1, 500.0, 1.3)' => [ 100.0, $TOL6 ],
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447 'gsl_cdf_fdist_Pinv ( 9.97891924831461387e-1, 500.0, 1.3)' => [ 10000.0, $TOL6 ],
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449 'gsl_cdf_fdist_Qinv ( 9.99410023490380312e-1, 500.0, 1.3)' => [ 0.1, $TOL6 ],
450 'gsl_cdf_fdist_Qinv ( 9.31388951394845747e-1, 500.0, 1.3)' => [ 0.325, $TOL6 ],
451 'gsl_cdf_fdist_Qinv ( 6.61524946193595385e-1, 500.0, 1.3)' => [ 1.0, $TOL6 ],
452 'gsl_cdf_fdist_Qinv ( 5.47983754752542572e-1, 500.0, 1.3)' => [ 1.5, $TOL6 ],
453 'gsl_cdf_fdist_Qinv ( 4.72660931062611202e-1, 500.0, 1.3)' => [ 2.0, $TOL6 ],
454 'gsl_cdf_fdist_Qinv ( 1.83160371421586096e-1, 500.0, 1.3)' => [ 10.0, $TOL6 ],
455 'gsl_cdf_fdist_Qinv ( 1.18215376943088595e-1, 500.0, 1.3)' => [ 20.0, $TOL6 ],
456 'gsl_cdf_fdist_Qinv ( 4.19549427957787016e-2, 500.0, 1.3)' => [ 100.0, $TOL6 ],
457 'gsl_cdf_fdist_Qinv ( 9.41425061934473424e-3, 500.0, 1.3)' => [ 1000.0, $TOL6 ],
458 'gsl_cdf_fdist_Qinv ( 2.10807516853862603e-3, 500.0, 1.3)' => [ 10000.0, $TOL6 ],
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462 'gsl_cdf_fdist_Pinv ( 5.18324224608033294e-2, 1.2, 500.0)' => [ 0.01, $TOL6 ],
463 'gsl_cdf_fdist_Pinv ( 2.02235101716076289e-1, 1.2, 500.0)' => [ 0.1, $TOL6 ],
464 'gsl_cdf_fdist_Pinv ( 3.90502983219393749e-1, 1.2, 500.0)' => [ 0.325, $TOL6 ],
465 'gsl_cdf_fdist_Pinv ( 6.67656191574653619e-1, 1.2, 500.0)' => [ 1.0, $TOL6 ],
466 'gsl_cdf_fdist_Pinv ( 7.75539230271467054e-1, 1.2, 500.0)' => [ 1.5, $TOL6 ],
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502 'gsl_cdf_gamma_P (0.0, 1.0, 1.0)' => [ 0.0, $TOL6 ],
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578 'gsl_cdf_gamma_Q (1.0, 17.0, 10.0)' => [ 1.0, $TOL6 ],
579 'gsl_cdf_gamma_Q (1.5, 17.0, 10.0)' => [ 1.0, $TOL6 ],
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581 'gsl_cdf_gamma_Q (10.0, 17.0, 10.0)' => [ 9.99999999999998905e-1, $TOL6 ],
582 'gsl_cdf_gamma_Q (20.0, 17.0, 10.0)' => [ 9.99999999943939490e-1, $TOL6 ],
583 'gsl_cdf_gamma_Q (100.0, 17.0, 10.0)' => [ 9.72958390215198872e-1, $TOL6 ],
584 'gsl_cdf_gamma_Q (1000.0, 17.0, 10.0)' => [ 2.11200951633948570e-25, $TOL6 ],
585 'gsl_cdf_gamma_Q (10000.0, 17.0, 10.0)' => [ 0.0, $TOL6 ],
586 'gsl_cdf_chisq_P (0.0, 13.0)' => [ 0.0, $TOL6 ],
587 'gsl_cdf_chisq_P (1e-100, 13.0)' => [ 0.0, $TOL6 ],
588 'gsl_cdf_chisq_P (0.001, 13.0)' => [ 1.86631102655845996e-25, $TOL6 ],
589 'gsl_cdf_chisq_P (0.01, 13.0)' => [ 5.87882248504529790e-19, $TOL6 ],
590 'gsl_cdf_chisq_P (0.1, 13.0)' => [ 1.78796983358555410e-12, $TOL6 ],
591 'gsl_cdf_chisq_P (0.325, 13.0)' => [ 3.44611313779905183e-9, $TOL6 ],
592 'gsl_cdf_chisq_P (1.0, 13.0)' => [ 3.83473473513595154e-6, $TOL6 ],
593 'gsl_cdf_chisq_P (1.5, 13.0)' => [ 4.31718389201041932e-5, $TOL6 ],
594 'gsl_cdf_chisq_P (2.0, 13.0)' => [ 2.26250084656047180e-4, $TOL6 ],
595 'gsl_cdf_chisq_P (10.0, 13.0)' => [ 3.06065632019251110e-1, $TOL6 ],
596 'gsl_cdf_chisq_P (20.0, 13.0)' => [ 9.04789743921908487e-1, $TOL6 ],
597 'gsl_cdf_chisq_P (100.0, 13.0)' => [ 9.99999999999998341e-1, $TOL6 ],
598 'gsl_cdf_chisq_P (1000.0, 13.0)' => [ 1e0, $TOL6 ],
599 'gsl_cdf_chisq_P (10000.0, 13.0)' => [ 1e0, $TOL6 ],
600 'gsl_cdf_chisq_Q (0.0, 13.0)' => [ 1e0, $TOL6 ],
601 'gsl_cdf_chisq_Q (1e-100, 13.0)' => [ 1e0, $TOL6 ],
602 'gsl_cdf_chisq_Q (0.001, 13.0)' => [ 1e0, $TOL6 ],
603 'gsl_cdf_chisq_Q (0.01, 13.0)' => [ 9.99999999999999999e-1, $TOL6 ],
604 'gsl_cdf_chisq_Q (0.1, 13.0)' => [ 9.99999999998212030e-1, $TOL6 ],
605 'gsl_cdf_chisq_Q (0.325, 13.0)' => [ 9.99999996553886862e-1, $TOL6 ],
606 'gsl_cdf_chisq_Q (1.0, 13.0)' => [ 9.99996165265264864e-1, $TOL6 ],
607 'gsl_cdf_chisq_Q (1.5, 13.0)' => [ 9.99956828161079896e-1, $TOL6 ],
608 'gsl_cdf_chisq_Q (2.0, 13.0)' => [ 9.99773749915343953e-1, $TOL6 ],
609 'gsl_cdf_chisq_Q (10.0, 13.0)' => [ 6.93934367980748890e-1, $TOL6 ],
610 'gsl_cdf_chisq_Q (20.0, 13.0)' => [ 9.52102560780915127e-2, $TOL6 ],
611 'gsl_cdf_chisq_Q (100.0, 13.0)' => [ 1.65902608070858809e-15, $TOL6 ],
612 'gsl_cdf_chisq_Q (1000.0, 13.0)' => [ 1.74851191544860225e-205, $TOL6 ],
613 'gsl_cdf_chisq_Q (10000.0, 13.0)' => [ 0.0, $TOL6 ],
614 'gsl_cdf_beta_P (0.0, 1.2, 1.3)' => [ 0.0, $TOL6 ],
615 'gsl_cdf_beta_P (1e-100, 1.2, 1.3)' => [ 1.34434944656489596e-120, $TOL6 ],
616 'gsl_cdf_beta_P (0.001, 1.2, 1.3)' => [ 3.37630042504535813e-4, $TOL6 ],
617 'gsl_cdf_beta_P (0.01, 1.2, 1.3)' => [ 5.34317264038929473e-3, $TOL6 ],
618 'gsl_cdf_beta_P (0.1, 1.2, 1.3)' => [ 8.33997828306748346e-2, $TOL6 ],
619 'gsl_cdf_beta_P (0.325, 1.2, 1.3)' => [ 3.28698654180583916e-1, $TOL6 ],
620 'gsl_cdf_beta_P (0.5, 1.2, 1.3)' => [ 5.29781429451299081e-1, $TOL6 ],
621 'gsl_cdf_beta_P (0.9, 1.2, 1.3)' => [ 9.38529397224430659e-1, $TOL6 ],
622 'gsl_cdf_beta_P (0.99, 1.2, 1.3)' => [ 9.96886438341254380e-1, $TOL6 ],
623 'gsl_cdf_beta_P (0.999, 1.2, 1.3)' => [ 9.99843792833067634e-1, $TOL6 ],
624 'gsl_cdf_beta_P (1.0, 1.2, 1.3)' => [ 1.0, $TOL6 ],
625 'gsl_cdf_beta_Q (0.0, 1.2, 1.3)' => [ 1.0, $TOL6 ],
626 'gsl_cdf_beta_Q (1e-100, 1.2, 1.3)' => [ 1e0, $TOL6 ],
627 'gsl_cdf_beta_Q (0.001, 1.2, 1.3)' => [ 9.99662369957495464e-1, $TOL6 ],
628 'gsl_cdf_beta_Q (0.01, 1.2, 1.3)' => [ 9.94656827359610705e-1, $TOL6 ],
629 'gsl_cdf_beta_Q (0.1, 1.2, 1.3)' => [ 9.16600217169325165e-1, $TOL6 ],
630 'gsl_cdf_beta_Q (0.325, 1.2, 1.3)' => [ 6.71301345819416084e-1, $TOL6 ],
631 'gsl_cdf_beta_Q (0.5, 1.2, 1.3)' => [ 4.70218570548700919e-1, $TOL6 ],
632 'gsl_cdf_beta_Q (0.9, 1.2, 1.3)' => [ 6.14706027755693408e-2, $TOL6 ],
633 'gsl_cdf_beta_Q (0.99, 1.2, 1.3)' => [ 3.11356165874561958e-3, $TOL6 ],
634 'gsl_cdf_beta_Q (0.999, 1.2, 1.3)' => [ 1.56207166932365759e-4, $TOL6 ],
635 'gsl_cdf_beta_Q (1.0, 1.2, 1.3)' => [ 0.0, 0.0 ],
636 'gsl_cdf_beta_Pinv (0.0, 1.2, 1.3)' => [ 0.0, 0.0],
637 'gsl_cdf_beta_Pinv ( 1.34434944656489596e-120, 1.2, 1.3)' => [ 1e-100, $TOL6 ],
638 'gsl_cdf_beta_Pinv ( 3.37630042504535813e-4, 1.2, 1.3)' => [ 0.001, $TOL6 ],
639 'gsl_cdf_beta_Pinv ( 5.34317264038929473e-3, 1.2, 1.3)' => [ 0.01, $TOL6 ],
640 'gsl_cdf_beta_Pinv ( 8.33997828306748346e-2, 1.2, 1.3)' => [ 0.1, $TOL6 ],
641 'gsl_cdf_beta_Pinv ( 3.28698654180583916e-1, 1.2, 1.3)' => [ 0.325, $TOL6 ],
642 'gsl_cdf_beta_Pinv ( 5.29781429451299081e-1, 1.2, 1.3)' => [ 0.5, $TOL6 ],
643 'gsl_cdf_beta_Pinv ( 9.38529397224430659e-1, 1.2, 1.3)' => [ 0.9, $TOL6 ],
644 'gsl_cdf_beta_Pinv ( 9.96886438341254380e-1, 1.2, 1.3)' => [ 0.99, $TOL6 ],
645 'gsl_cdf_beta_Pinv ( 9.99843792833067634e-1, 1.2, 1.3)' => [ 0.999, $TOL6 ],
646 'gsl_cdf_beta_Pinv ( 1.0, 1.2, 1.3)' => [ 1.0, $TOL6 ],
647 'gsl_cdf_beta_Qinv ( 1.0, 1.2, 1.3)' => [ 0.0, $TOL0 ],
648 'gsl_cdf_beta_Qinv ( 1e0, 1.2, 1.3)' => [ 0.0, $TOL0 ],
649 'gsl_cdf_beta_Qinv ( 9.99662369957495464e-1, 1.2, 1.3)' => [ 0.001, $TOL6 ],
650 'gsl_cdf_beta_Qinv ( 9.94656827359610705e-1, 1.2, 1.3)' => [ 0.01, $TOL6 ],
651 'gsl_cdf_beta_Qinv ( 9.16600217169325165e-1, 1.2, 1.3)' => [ 0.1, $TOL6 ],
652 'gsl_cdf_beta_Qinv ( 6.71301345819416084e-1, 1.2, 1.3)' => [ 0.325, $TOL6 ],
653 'gsl_cdf_beta_Qinv ( 4.70218570548700919e-1, 1.2, 1.3)' => [ 0.5, $TOL6 ],
654 'gsl_cdf_beta_Qinv ( 6.14706027755693408e-2, 1.2, 1.3)' => [ 0.9, $TOL6 ],
655 'gsl_cdf_beta_Qinv ( 3.11356165874561958e-3, 1.2, 1.3)' => [ 0.99, $TOL6 ],
656 'gsl_cdf_beta_Qinv ( 1.56207166932365759e-4, 1.2, 1.3)' => [ 0.999, $TOL6 ],
657 'gsl_cdf_beta_Qinv ( 0.0, 1.2, 1.3)' => [ 1.0, 0.0 ],
658 'gsl_cdf_beta_Pinv ( 0.025, 2133.0, 7868.0)' => [ 0.20530562929915865457928654, $TOL6 ],
659 'gsl_cdf_gamma_Pinv (0.0, 1.0, 1.0)' => [ 0.0, 0.0 ],
660 'gsl_cdf_gamma_Pinv (1e-100, 1.0, 1.0)' => [ 1e-100, $TOL6 ],
661 'gsl_cdf_gamma_Pinv (9.99500166625008332e-4, 1.0, 1.0)' => [ 0.001, $TOL6 ],
662 'gsl_cdf_gamma_Pinv (9.95016625083194643e-3, 1.0, 1.0)' => [ 0.01, $TOL6 ],
663 'gsl_cdf_gamma_Pinv (9.51625819640404268e-2, 1.0, 1.0)' => [ 0.1, $TOL6 ],
664 'gsl_cdf_gamma_Pinv (2.77472646357927811e-1, 1.0, 1.0)' => [ 0.325, $TOL6 ],
665 'gsl_cdf_gamma_Pinv (6.32120558828557678e-1, 1.0, 1.0)' => [ 1.0, $TOL6 ],
666 'gsl_cdf_gamma_Pinv (7.76869839851570171e-1, 1.0, 1.0)' => [ 1.5, $TOL6 ],
667 'gsl_cdf_gamma_Pinv (8.64664716763387308e-1, 1.0, 1.0)' => [ 2.0, $TOL6 ],
668 'gsl_cdf_gamma_Pinv (9.99954600070237515e-1, 1.0, 1.0)' => [ 10.0, $TOL6 ],
669 'gsl_cdf_gamma_Pinv (9.99999997938846378e-1, 1.0, 1.0)' => [ 20.0, 100*$TOL6 ],
670 q{gsl_cdf_gamma_Pinv (1.0, 1.0, 1.0)} => [ q{inf}, $TOL6 ],
671 'gsl_cdf_gamma_Pinv (0.1, 11.887411491530846,1.0)' => [ 7.73788447848618e+00, $TOL6 ],
672 q{gsl_cdf_gamma_Qinv (0.0, 1.0, 1.0)} => [ q{inf}, $TOL6 ],
673 'gsl_cdf_gamma_Qinv (2.06115362243855783e-9, 1.0, 1.0)' => [ 20.0, $TOL6 ],
674 'gsl_cdf_gamma_Qinv (4.53999297624848515e-5, 1.0, 1.0)' => [ 10.0, $TOL6 ],
675 'gsl_cdf_gamma_Qinv (1.35335283236612692e-1, 1.0, 1.0)' => [ 2.0, $TOL6 ],
676 'gsl_cdf_gamma_Qinv (2.23130160148429829e-1, 1.0, 1.0)' => [ 1.5, $TOL6 ],
677 'gsl_cdf_gamma_Qinv (3.67879441171442322e-1, 1.0, 1.0)' => [ 1.0, $TOL6 ],
678 'gsl_cdf_gamma_Qinv (7.22527353642072189e-1, 1.0, 1.0)' => [ 0.325, $TOL6 ],
679 'gsl_cdf_gamma_Qinv (9.04837418035959573e-1, 1.0, 1.0)' => [ 0.1, $TOL6 ],
680 'gsl_cdf_gamma_Qinv (9.90049833749168054e-1, 1.0, 1.0)' => [ 0.01, $TOL6 ],
681 'gsl_cdf_gamma_Qinv (9.99000499833374992e-1, 1.0, 1.0)' => [ 0.001, $TOL6 ],
682 'gsl_cdf_gamma_Qinv (1.0, 1.0, 1.0)' => [ 0.0, $TOL6 ],
683 'gsl_cdf_chisq_Pinv (0.0, 13.0)' => [ 0.0, $TOL6 ],
684 'gsl_cdf_chisq_Pinv (1.86631102655845996e-25, 13.0)' => [ 0.001, $TOL6 ],
685 'gsl_cdf_chisq_Pinv (5.87882248504529790e-19, 13.0)' => [ 0.01, $TOL6 ],
686 'gsl_cdf_chisq_Pinv (1.78796983358555410e-12, 13.0)' => [ 0.1, $TOL6 ],
687 'gsl_cdf_chisq_Pinv (3.44611313779905183e-9, 13.0)' => [ 0.325, $TOL6 ],
688 'gsl_cdf_chisq_Pinv (3.83473473513595154e-6, 13.0)' => [ 1.0, $TOL6 ],
689 'gsl_cdf_chisq_Pinv (4.31718389201041932e-5, 13.0)' => [ 1.5, $TOL6 ],
690 'gsl_cdf_chisq_Pinv (2.26250084656047180e-4, 13.0)' => [ 2.0, $TOL6 ],
691 'gsl_cdf_chisq_Pinv (3.06065632019251110e-1, 13.0)' => [ 10.0, $TOL6 ],
692 'gsl_cdf_chisq_Pinv (9.04789743921908487e-1, 13.0)' => [ 20.0, $TOL6 ],
693 'gsl_cdf_chisq_Pinv (9.99999999999998341e-1, 13.0)' => [ 100.0, 0.1 ],
694 q{gsl_cdf_chisq_Pinv (1e0, 13.0)} => [ q{inf}, $TOL6 ],
695 q{gsl_cdf_chisq_Qinv (0.0, 13.0)} => [ q{inf}, $TOL6 ],
696 'gsl_cdf_chisq_Qinv (1.65902608070858809e-15, 13.0)'=> [ 100.0, $TOL6 ],
697 'gsl_cdf_chisq_Qinv (9.52102560780915127e-2, 13.0)' => [ 20.0, $TOL6 ],
698 'gsl_cdf_chisq_Qinv (6.93934367980748892e-1, 13.0)' => [ 10.0, $TOL6 ],
699 'gsl_cdf_chisq_Qinv (9.99773749915343954e-1, 13.0)' => [ 2.0, $TOL6 ],
700 'gsl_cdf_chisq_Qinv (9.99956828161079894e-1, 13.0)' => [ 1.5, $TOL6 ],
701 'gsl_cdf_chisq_Qinv (9.99996165265264863e-1, 13.0)' => [ 1.0, $TOL6 ],
702 'gsl_cdf_chisq_Qinv (9.99999996553886862e-1, 13.0)' => [ 0.325, 1e-6 ],
703 'gsl_cdf_chisq_Qinv (9.99999999998212031e-1, 13.0)' => [ 0.1, 1e-5 ],
704 'gsl_cdf_chisq_Qinv (1.0, 13.0)' => [ 0.0, 0.0],
705 'gsl_cdf_tdist_Pinv (0.5, 1.0)' => [ 0.0, 0.0 ],
706 'gsl_cdf_tdist_Pinv (5.00318309780080559e-1, 1.0)' => [ 0.001, $TOL6 ],
707 'gsl_cdf_tdist_Pinv (5.03182992764908255e-1, 1.0)' => [ 0.01, $TOL6 ],
708 'gsl_cdf_tdist_Pinv (5.31725517430553569e-1, 1.0)' => [ 0.1, $TOL6 ],
709 'gsl_cdf_tdist_Pinv (6.00023120032852123e-1, 1.0)' => [ 0.325, $TOL6 ],
710 'gsl_cdf_tdist_Pinv (0.75000000000000000e0, 1.0)' => [ 1.0, $TOL6 ],
711 'gsl_cdf_tdist_Pinv (8.12832958189001183e-1, 1.0)' => [ 1.5, $TOL6 ],
712 'gsl_cdf_tdist_Pinv (8.52416382349566726e-1, 1.0)' => [ 2.0, $TOL6 ],
713 'gsl_cdf_tdist_Pinv (9.68274482569446430e-1, 1.0)' => [ 10.0, $TOL6 ],
714 'gsl_cdf_tdist_Pinv (9.84097748743823625e-1, 1.0)' => [ 20.0, $TOL6 ],
715 'gsl_cdf_tdist_Pinv (9.96817007235091745e-1, 1.0)' => [ 100.0, $TOL6 ],
716 'gsl_cdf_tdist_Pinv (9.99681690219919441e-1, 1.0)' => [ 1000.0, $TOL6 ],
717 'gsl_cdf_tdist_Pinv (9.99968169011487724e-1, 1.0)' => [ 10000.0, 100*$TOL6 ],
718 'gsl_cdf_tdist_Pinv (4.99681690219919441e-1, 1.0)' => [ -0.001, $TOL6 ],
719 'gsl_cdf_tdist_Pinv (4.96817007235091744e-1, 1.0)' => [ -0.01, $TOL6 ],
720 'gsl_cdf_tdist_Pinv (4.68274482569446430e-1, 1.0)' => [ -0.1, $TOL6 ],
721 'gsl_cdf_tdist_Pinv (3.99976879967147876e-1, 1.0)' => [ -0.325, $TOL6 ],
722 'gsl_cdf_tdist_Pinv (0.25, 1.0)' => [ -1.0, $TOL6 ],
723 'gsl_cdf_tdist_Pinv (1.87167041810998816e-1, 1.0)' => [ -1.5, $TOL6 ],
724 'gsl_cdf_tdist_Pinv (1.47583617650433274e-1, 1.0)' => [ -2.0, $TOL6 ],
725 'gsl_cdf_tdist_Pinv (3.17255174305535695e-2, 1.0)' => [ -10.0, $TOL6 ],
726 'gsl_cdf_tdist_Pinv (1.59022512561763751e-2, 1.0)' => [ -20.0, $TOL6 ],
727 'gsl_cdf_tdist_Pinv (3.18299276490825514e-3, 1.0)' => [ -100.0, $TOL6 ],
728 'gsl_cdf_tdist_Pinv (3.18309780080558938e-4, 1.0)' => [ -1000.0, $TOL6 ],
729 'gsl_cdf_tdist_Pinv (3.18309885122757724e-5, 1.0)' => [ -10000.0, $TOL6 ],
730 'gsl_cdf_tdist_Qinv (0.5, 1.0)' => [ 0.0, $TOL6 ],
731 'gsl_cdf_tdist_Qinv (4.99681690219919441e-1, 1.0)' => [ 0.001, $TOL6 ],
732 'gsl_cdf_tdist_Qinv (4.96817007235091745e-1, 1.0)' => [ 0.01, $TOL6 ],
733 'gsl_cdf_tdist_Qinv (4.68274482569446430e-1, 1.0)' => [ 0.1, $TOL6 ],
734 'gsl_cdf_tdist_Qinv (3.99976879967147876e-1, 1.0)' => [ 0.325, $TOL6 ],
735 'gsl_cdf_tdist_Qinv (2.5e-1, 1.0)' => [ 1.0, $TOL6 ],
736 'gsl_cdf_tdist_Qinv (1.87167041810998816e-1, 1.0)' => [ 1.5, $TOL6 ],
737 'gsl_cdf_tdist_Qinv (1.47583617650433274e-1, 1.0)' => [ 2.0, $TOL6 ],
738 'gsl_cdf_tdist_Qinv (3.17255174305535695e-2, 1.0)' => [ 10.0, $TOL6 ],
739 'gsl_cdf_tdist_Qinv (1.59022512561763752e-2, 1.0)' => [ 20.0, $TOL6 ],
740 'gsl_cdf_tdist_Qinv (3.18299276490825515e-3, 1.0)' => [ 100.0, $TOL6 ],
741 'gsl_cdf_tdist_Qinv (3.18309780080558939e-4, 1.0)' => [ 1000.0, $TOL6 ],
742 'gsl_cdf_tdist_Qinv (3.18309885122757724e-5, 1.0)' => [ 10000.0, $TOL6 ],
743 'gsl_cdf_tdist_Pinv (4.99681690219919441e-1, 1.0)' => [ -0.001, $TOL6 ],
744 'gsl_cdf_tdist_Pinv (4.96817007235091744e-1, 1.0)' => [ -0.01, $TOL6 ],
745 'gsl_cdf_tdist_Pinv (4.68274482569446430e-1, 1.0)' => [ -0.1, $TOL6 ],
746 'gsl_cdf_tdist_Pinv (3.99976879967147876e-1, 1.0)' => [ -0.325, $TOL6 ],
747 'gsl_cdf_tdist_Pinv (0.25, 1.0)' => [ -1.0, $TOL6 ],
748 'gsl_cdf_tdist_Pinv (1.87167041810998816e-1, 1.0)' => [ -1.5, $TOL6 ],
749 'gsl_cdf_tdist_Pinv (1.47583617650433274e-1, 1.0)' => [ -2.0, $TOL6 ],
750 'gsl_cdf_tdist_Pinv (3.17255174305535695e-2, 1.0)' => [ -10.0, $TOL6 ],
751 'gsl_cdf_tdist_Pinv (1.59022512561763751e-2, 1.0)' => [ -20.0, $TOL6 ],
752 'gsl_cdf_tdist_Pinv (3.18299276490825514e-3, 1.0)' => [ -100.0, $TOL6 ],
753 'gsl_cdf_tdist_Pinv (3.18309780080558938e-4, 1.0)' => [ -1000.0, $TOL6 ],
754 'gsl_cdf_tdist_Pinv (3.18309885122757724e-5, 1.0)' => [ -10000.0, $TOL6 ],
755 'gsl_cdf_tdist_Qinv (5.00318309780080559e-1, 1.0)' => [ -0.001, $TOL6 ],
756 'gsl_cdf_tdist_Qinv (5.03182992764908255e-1, 1.0)' => [ -0.01, $TOL6 ],
757 'gsl_cdf_tdist_Qinv (5.31725517430553570e-1, 1.0)' => [ -0.1, $TOL6 ],
758 'gsl_cdf_tdist_Qinv (6.00023120032852124e-1, 1.0)' => [ -0.325, $TOL6 ],
759 'gsl_cdf_tdist_Qinv (7.5e-1, 1.0)' => [ -1.0, $TOL6 ],
760 'gsl_cdf_tdist_Qinv (8.12832958189001184e-1, 1.0)' => [ -1.5, $TOL6 ],
761 'gsl_cdf_tdist_Qinv (8.52416382349566726e-1, 1.0)' => [ -2.0, $TOL6 ],
762 'gsl_cdf_tdist_Qinv (9.68274482569446430e-1, 1.0)' => [ -10.0, $TOL6 ],
763 'gsl_cdf_tdist_Qinv (9.84097748743823625e-1, 1.0)' => [ -20.0, $TOL6 ],
764 'gsl_cdf_tdist_Qinv (9.96817007235091745e-1, 1.0)' => [ -100.0, $TOL6 ],
765 'gsl_cdf_tdist_Qinv (9.99681690219919441e-1, 1.0)' => [ -1000.0, $TOL6 ],
766 'gsl_cdf_tdist_Qinv (9.99968169011487724e-1, 1.0)' => [ -10000.0, 100*$TOL6 ],
767 'gsl_cdf_tdist_Pinv (4.99646446697795041e-01, 2.0)' => [ -0.001, $TOL6 ],
768 'gsl_cdf_tdist_Pinv (4.96464554479100486e-01, 2.0)' => [ -0.01, $TOL6 ],
769 'gsl_cdf_tdist_Pinv (4.64732719207070087e-01, 2.0)' => [ -0.1, $TOL6 ],
770 'gsl_cdf_tdist_Pinv (3.88014227253126233e-01, 2.0)' => [ -0.325, $TOL6 ],
771 'gsl_cdf_tdist_Pinv (2.11324865405187118e-01, 2.0)' => [ -1.0, $TOL6 ],
772 'gsl_cdf_tdist_Pinv (1.36196562445500540e-01, 2.0)' => [ -1.5, $TOL6 ],
773 'gsl_cdf_tdist_Pinv (9.17517095361369836e-02, 2.0)' => [ -2.0, $TOL6 ],
774 'gsl_cdf_tdist_Pinv (4.92622851166284542e-03, 2.0)' => [ -10.0, $TOL6 ],
775 'gsl_cdf_tdist_Pinv (1.24533194618354849e-03, 2.0)' => [ -20.0, $TOL6 ],
776 'gsl_cdf_tdist_Pinv (4.99925012497812894e-05, 2.0)' => [ -100.0, $TOL6 ],
777 'gsl_cdf_tdist_Pinv (4.99999250001249998e-07, 2.0)' => [ -1000.0, $TOL6 ],
778 'gsl_cdf_tdist_Pinv (4.99999992500000125e-09, 2.0)' => [ -10000.0, $TOL6 ],
779 'gsl_cdf_tdist_Qinv (5.00353553302204959e-1, 2.0)' => [ -0.001, $TOL6 ],
780 'gsl_cdf_tdist_Qinv (5.03535445520899514e-1, 2.0)' => [ -0.01, $TOL6 ],
781 'gsl_cdf_tdist_Qinv (5.35267280792929913e-1, 2.0)' => [ -0.1, $TOL6 ],
782 'gsl_cdf_tdist_Qinv (6.11985772746873767e-1, 2.0)' => [ -0.325, $TOL6 ],
783 'gsl_cdf_tdist_Qinv (7.88675134594812882e-1, 2.0)' => [ -1.0, $TOL6 ],
784 'gsl_cdf_tdist_Qinv (8.63803437554499460e-1, 2.0)' => [ -1.5, $TOL6 ],
785 'gsl_cdf_tdist_Qinv (9.08248290463863016e-1, 2.0)' => [ -2.0, $TOL6 ],
786 'gsl_cdf_tdist_Qinv (9.95073771488337155e-1, 2.0)' => [ -10.0, $TOL6 ],
787 'gsl_cdf_tdist_Qinv (9.98754668053816452e-1, 2.0)' => [ -20.0, $TOL6 ],
788 'gsl_cdf_tdist_Qinv (9.99950007498750219e-1, 2.0)' => [ -100.0, $TOL6 ],
789 'gsl_cdf_tdist_Qinv (9.99999500000749999e-1, 2.0)' => [ -1000.0, 100*$TOL6 ],
790 'gsl_cdf_tdist_Qinv (9.99999995000000075e-1, 2.0)' => [ -10000.0, 1e-4 ],
791 'gsl_cdf_tdist_Pinv (5.00000000000000000e-01, 300.0)' => [ 0.0, $TOL6 ],
792 'gsl_cdf_tdist_Pinv (5.00398609900942949e-01, 300.0)' => [ 0.001, $TOL6 ],
793 'gsl_cdf_tdist_Pinv (5.03986033020559088e-01, 300.0)' => [ 0.01, $TOL6 ],
794 'gsl_cdf_tdist_Pinv (5.39794441177768194e-01, 300.0)' => [ 0.1, $TOL6 ],
795 'gsl_cdf_tdist_Pinv (6.27296201542523812e-01, 300.0)' => [ 0.325, $TOL6 ],
796 'gsl_cdf_tdist_Pinv (8.40941797784686861e-01, 300.0)' => [ 1.0, $TOL6 ],
797 'gsl_cdf_tdist_Pinv (9.32666983425369137e-01, 300.0)' => [ 1.5, $TOL6 ],
798 'gsl_cdf_tdist_Pinv (9.76799239508425455e-01, 300.0)' => [ 2.0, $TOL6 ],
799 q{gsl_cdf_tdist_Pinv (1.00000000000000000e+00, 300.0)} => [ q{inf}, $TOL6 ],
800 'gsl_cdf_tdist_Qinv (5.00000000000000000e-01, 300.0)' => [ 0.0, $TOL6 ],
801 'gsl_cdf_tdist_Qinv (4.99601390099057051e-1, 300.0)' => [ 0.001, $TOL6 ],
802 'gsl_cdf_tdist_Qinv (4.96013966979440912e-1, 300.0)' => [ 0.01, $TOL6 ],
803 'gsl_cdf_tdist_Qinv (4.60205558822231806e-1, 300.0)' => [ 0.1, $TOL6 ],
804 'gsl_cdf_tdist_Qinv (3.72703798457476188e-1, 300.0)' => [ 0.325, $TOL6 ],
805 'gsl_cdf_tdist_Qinv (1.59058202215313138e-1, 300.0)' => [ 1.0, $TOL6 ],
806 'gsl_cdf_tdist_Qinv (6.73330165746308628e-2, 300.0)' => [ 1.5, $TOL6 ],
807 'gsl_cdf_tdist_Qinv (2.32007604915745452e-2, 300.0)' => [ 2.0, $TOL6 ],
808 'gsl_cdf_tdist_Qinv (8.279313677e-21, 300.0)' => [ 10.0, $TOL6 ],
809 'gsl_cdf_tdist_Qinv (1.93159812815803978e-57, 300.0)' => [ 20.0, $TOL6 ],
810 'gsl_cdf_tdist_Qinv (1.02557519997736154e-232, 300.0)' => [ 100.0, $TOL6 ],
811 q{gsl_cdf_tdist_Qinv (0.00000000000000000e+00, 300.0)} => [ q{inf}, $TOL6 ],
812 'gsl_cdf_tdist_Pinv (4.99601390099057051e-01, 300.0)' => [ -0.001, $TOL6 ],
813 'gsl_cdf_tdist_Pinv (4.96013966979440912e-01, 300.0)' => [ -0.01, $TOL6 ],
814 'gsl_cdf_tdist_Pinv (4.60205558822231806e-01, 300.0)' => [ -0.1, $TOL6 ],
815 'gsl_cdf_tdist_Pinv (3.72703798457476188e-01, 300.0)' => [ -0.325, $TOL6 ],
816 'gsl_cdf_tdist_Pinv (1.59058202215313138e-01, 300.0)' => [ -1.0, $TOL6 ],
817 'gsl_cdf_tdist_Pinv (6.73330165746308628e-02, 300.0)' => [ -1.5, $TOL6 ],
818 'gsl_cdf_tdist_Pinv (2.32007604915745452e-02, 300.0)' => [ -2.0, $TOL6 ],
819 'gsl_cdf_tdist_Pinv (8.279313675556272534e-21, 300.0)' => [ -10.0, $TOL6 ],
820 'gsl_cdf_tdist_Pinv (1.93159812815803978e-57, 300.0)' => [ -20.0, $TOL6 ],
821 'gsl_cdf_tdist_Pinv (1.02557519997736154e-232, 300.0)' => [ -100.0, $TOL6 ],
822 q{gsl_cdf_tdist_Pinv (0.0, 300.0)} => [ q{-inf}, $TOL6 ],
823 'gsl_cdf_tdist_Qinv (5.00398609900942949e-1, 300.0)' => [ -0.001, $TOL6 ],
824 'gsl_cdf_tdist_Qinv (5.03986033020559088e-1, 300.0)' => [ -0.01, $TOL6 ],
825 'gsl_cdf_tdist_Qinv (5.39794441177768194e-1, 300.0)' => [ -0.1, $TOL6 ],
826 'gsl_cdf_tdist_Qinv (6.27296201542523812e-1, 300.0)' => [ -0.325, $TOL6 ],
827 'gsl_cdf_tdist_Qinv (8.40941797784686862e-1, 300.0)' => [ -1.0, $TOL6 ],
828 'gsl_cdf_tdist_Qinv (9.32666983425369137e-1, 300.0)' => [ -1.5, $TOL6 ],
829 'gsl_cdf_tdist_Qinv (9.76799239508425455e-1, 300.0)' => [ -2.0, $TOL6 ],
830 q{gsl_cdf_tdist_Qinv (1.000000000000000000e0, 300.0)} => [ q{-inf}, $TOL6 ],
831 };
832 $gsl->verify_results($results, 'Math::GSL::CDF');
833 }