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[/] [openrisc/] [trunk/] [gnu-dev/] [or1k-gcc/] [libstdc++-v3/] [testsuite/] [tr1/] [5_numerical_facilities/] [special_functions/] [08_cyl_bessel_i/] [check_value.cc] - Blame information for rev 742

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Line No. Rev Author Line
1 742 jeremybenn 
// 2007-02-04  Edward Smith-Rowland <3dw4rd@verizon.net>
2 
//
3 
// Copyright (C) 2007, 2009 Free Software Foundation, Inc.
4 
//
5 
// This file is part of the GNU ISO C++ Library.  This library is free
6 
// software; you can redistribute it and/or modify it under the
7 
// terms of the GNU General Public License as published by the
8 
// Free Software Foundation; either version 3, or (at your option)
9 
// any later version.
10 
//
11 
// This library is distributed in the hope that it will be useful,
12 
// but WITHOUT ANY WARRANTY; without even the implied warranty of
13 
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
14 
// GNU General Public License for more details.
15 
//
16 
// You should have received a copy of the GNU General Public License along
17 
// with this library; see the file COPYING3.  If not see
18 
// <http://www.gnu.org/licenses/>.
19 
 
20 
//  cyl_bessel_i
21 
 
22 
 
23 
//  Compare against values generated by the GNU Scientific Library.
24 
//  The GSL can be found on the web: http://www.gnu.org/software/gsl/
25 
 
26 
#include <tr1/cmath>
27 
#if defined(__TEST_DEBUG)
28 
#include <iostream>
29 
#define VERIFY(A) \
30 
if (!(A)) \
31 
  { \
32 
    std::cout << "line " << __LINE__ \
33 
      << "  max_abs_frac = " << max_abs_frac \
34 
      << std::endl; \
35 
  }
36 
#else
37 
#include <testsuite_hooks.h>
38 
#endif
39 
#include "../testcase.h"
40 
 
41 
 
42 
// Test data for nu=0.0000000000000000.
43 
testcase_cyl_bessel_i<double> data001[] = {
44 
  { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000 },
45 
  { 27.239871823604439, 0.0000000000000000, 5.0000000000000000 },
46 
  { 2815.7166284662558, 0.0000000000000000, 10.000000000000000 },
47 
  { 339649.37329791381, 0.0000000000000000, 15.000000000000000 },
48 
  { 43558282.559553474, 0.0000000000000000, 20.000000000000000 },
49 
  { 5774560606.4663124, 0.0000000000000000, 25.000000000000000 },
50 
  { 781672297823.97925, 0.0000000000000000, 30.000000000000000 },
51 
  { 107338818494514.42, 0.0000000000000000, 35.000000000000000 },
52 
  { 14894774793419918., 0.0000000000000000, 40.000000000000000 },
53 
  { 2.0834140751773158e+18, 0.0000000000000000, 45.000000000000000 },
54 
  { 2.9325537838493463e+20, 0.0000000000000000, 50.000000000000000 },
55 
  { 4.1487895607332160e+22, 0.0000000000000000, 55.000000000000000 },
56 
  { 5.8940770556098216e+24, 0.0000000000000000, 60.000000000000000 },
57 
  { 8.4030398456255610e+26, 0.0000000000000000, 65.000000000000000 },
58 
  { 1.2015889579125422e+29, 0.0000000000000000, 70.000000000000000 },
59 
  { 1.7226390780357971e+31, 0.0000000000000000, 75.000000000000000 },
60 
  { 2.4751784043341670e+33, 0.0000000000000000, 80.000000000000000 },
61 
  { 3.5634776304081418e+35, 0.0000000000000000, 85.000000000000000 },
62 
  { 5.1392383455086475e+37, 0.0000000000000000, 90.000000000000000 },
63 
  { 7.4233258618752096e+39, 0.0000000000000000, 95.000000000000000 },
64 
  { 1.0737517071310986e+42, 0.0000000000000000, 100.00000000000000 },
65 
};
66 
 
67 
// Test function for nu=0.0000000000000000.
68 
template <typename Tp>
69 
void test001()
70 
{
71 
  const Tp eps = std::numeric_limits<Tp>::epsilon();
72 
  Tp max_abs_diff = -Tp(1);
73 
  Tp max_abs_frac = -Tp(1);
74 
  unsigned int num_datum = sizeof(data001)
75 
                         / sizeof(testcase_cyl_bessel_i<double>);
76 
  for (unsigned int i = 0; i < num_datum; ++i)
77 
    {
78 
      const Tp f = std::tr1::cyl_bessel_i(Tp(data001[i].nu), Tp(data001[i].x));
79 
      const Tp f0 = data001[i].f0;
80 
      const Tp diff = f - f0;
81 
      if (std::abs(diff) > max_abs_diff)
82 
        max_abs_diff = std::abs(diff);
83 
      if (std::abs(f0) > Tp(10) * eps
84 
       && std::abs(f) > Tp(10) * eps)
85 
        {
86 
          const Tp frac = diff / f0;
87 
          if (std::abs(frac) > max_abs_frac)
88 
            max_abs_frac = std::abs(frac);
89 
        }
90 
    }
91 
  VERIFY(max_abs_frac < Tp(2.5000000000000015e-12));
92 
}
93 
 
94 
// Test data for nu=0.33333333333333331.
95 
testcase_cyl_bessel_i<double> data002[] = {
96 
  { 0.0000000000000000, 0.33333333333333331, 0.0000000000000000 },
97 
  { 26.897553069268362, 0.33333333333333331, 5.0000000000000000 },
98 
  { 2799.2396097056790, 0.33333333333333331, 10.000000000000000 },
99 
  { 338348.63146593655, 0.33333333333333331, 15.000000000000000 },
100 
  { 43434263.927938439, 0.33333333333333331, 20.000000000000000 },
101 
  { 5761474759.6213636, 0.33333333333333331, 25.000000000000000 },
102 
  { 780201111830.30225, 0.33333333333333331, 30.000000000000000 },
103 
  { 107166066959051.92, 0.33333333333333331, 35.000000000000000 },
104 
  { 14873836574083760., 0.33333333333333331, 40.000000000000000 },
105 
  { 2.0808143020217085e+18, 0.33333333333333331, 45.000000000000000 },
106 
  { 2.9292639365644229e+20, 0.33333333333333331, 50.000000000000000 },
107 
  { 4.1445621624120489e+22, 0.33333333333333331, 55.000000000000000 },
108 
  { 5.8885758374365916e+24, 0.33333333333333331, 60.000000000000000 },
109 
  { 8.3958047021083955e+26, 0.33333333333333331, 65.000000000000000 },
110 
  { 1.2006287819446431e+29, 0.33333333333333331, 70.000000000000000 },
111 
  { 1.7213548977150022e+31, 0.33333333333333331, 75.000000000000000 },
112 
  { 2.4734492458444449e+33, 0.33333333333333331, 80.000000000000000 },
113 
  { 3.5611354547857122e+35, 0.33333333333333331, 85.000000000000000 },
114 
  { 5.1360491295551829e+37, 0.33333333333333331, 90.000000000000000 },
115 
  { 7.4189629097600431e+39, 0.33333333333333331, 95.000000000000000 },
116 
  { 1.0731523308358370e+42, 0.33333333333333331, 100.00000000000000 },
117 
};
118 
 
119 
// Test function for nu=0.33333333333333331.
120 
template <typename Tp>
121 
void test002()
122 
{
123 
  const Tp eps = std::numeric_limits<Tp>::epsilon();
124 
  Tp max_abs_diff = -Tp(1);
125 
  Tp max_abs_frac = -Tp(1);
126 
  unsigned int num_datum = sizeof(data002)
127 
                         / sizeof(testcase_cyl_bessel_i<double>);
128 
  for (unsigned int i = 0; i < num_datum; ++i)
129 
    {
130 
      const Tp f = std::tr1::cyl_bessel_i(Tp(data002[i].nu), Tp(data002[i].x));
131 
      const Tp f0 = data002[i].f0;
132 
      const Tp diff = f - f0;
133 
      if (std::abs(diff) > max_abs_diff)
134 
        max_abs_diff = std::abs(diff);
135 
      if (std::abs(f0) > Tp(10) * eps
136 
       && std::abs(f) > Tp(10) * eps)
137 
        {
138 
          const Tp frac = diff / f0;
139 
          if (std::abs(frac) > max_abs_frac)
140 
            max_abs_frac = std::abs(frac);
141 
        }
142 
    }
143 
  VERIFY(max_abs_frac < Tp(1.0000000000000008e-12));
144 
}
145 
 
146 
// Test data for nu=0.50000000000000000.
147 
testcase_cyl_bessel_i<double> data003[] = {
148 
  { 0.0000000000000000, 0.50000000000000000, 0.0000000000000000 },
149 
  { 26.477547497559065, 0.50000000000000000, 5.0000000000000000 },
150 
  { 2778.7846038745711, 0.50000000000000000, 10.000000000000000 },
151 
  { 336729.88718706399, 0.50000000000000000, 15.000000000000000 },
152 
  { 43279746.272428922, 0.50000000000000000, 20.000000000000000 },
153 
  { 5745159748.3464680, 0.50000000000000000, 25.000000000000000 },
154 
  { 778366068840.44580, 0.50000000000000000, 30.000000000000000 },
155 
  { 106950522408567.66, 0.50000000000000000, 35.000000000000000 },
156 
  { 14847705549021962., 0.50000000000000000, 40.000000000000000 },
157 
  { 2.0775691824625661e+18, 0.50000000000000000, 45.000000000000000 },
158 
  { 2.9251568529912988e+20, 0.50000000000000000, 50.000000000000000 },
159 
  { 4.1392840094781220e+22, 0.50000000000000000, 55.000000000000000 },
160 
  { 5.8817065760751945e+24, 0.50000000000000000, 60.000000000000000 },
161 
  { 8.3867695787277231e+26, 0.50000000000000000, 65.000000000000000 },
162 
  { 1.1994296461653203e+29, 0.50000000000000000, 70.000000000000000 },
163 
  { 1.7197510246063332e+31, 0.50000000000000000, 75.000000000000000 },
164 
  { 2.4712895036230794e+33, 0.50000000000000000, 80.000000000000000 },
165 
  { 3.5582099086757769e+35, 0.50000000000000000, 85.000000000000000 },
166 
  { 5.1320654031231090e+37, 0.50000000000000000, 90.000000000000000 },
167 
  { 7.4135128383495227e+39, 0.50000000000000000, 95.000000000000000 },
168 
  { 1.0724035825423179e+42, 0.50000000000000000, 100.00000000000000 },
169 
};
170 
 
171 
// Test function for nu=0.50000000000000000.
172 
template <typename Tp>
173 
void test003()
174 
{
175 
  const Tp eps = std::numeric_limits<Tp>::epsilon();
176 
  Tp max_abs_diff = -Tp(1);
177 
  Tp max_abs_frac = -Tp(1);
178 
  unsigned int num_datum = sizeof(data003)
179 
                         / sizeof(testcase_cyl_bessel_i<double>);
180 
  for (unsigned int i = 0; i < num_datum; ++i)
181 
    {
182 
      const Tp f = std::tr1::cyl_bessel_i(Tp(data003[i].nu), Tp(data003[i].x));
183 
      const Tp f0 = data003[i].f0;
184 
      const Tp diff = f - f0;
185 
      if (std::abs(diff) > max_abs_diff)
186 
        max_abs_diff = std::abs(diff);
187 
      if (std::abs(f0) > Tp(10) * eps
188 
       && std::abs(f) > Tp(10) * eps)
189 
        {
190 
          const Tp frac = diff / f0;
191 
          if (std::abs(frac) > max_abs_frac)
192 
            max_abs_frac = std::abs(frac);
193 
        }
194 
    }
195 
  VERIFY(max_abs_frac < Tp(1.0000000000000008e-12));
196 
}
197 
 
198 
// Test data for nu=0.66666666666666663.
199 
testcase_cyl_bessel_i<double> data004[] = {
200 
  { 0.0000000000000000, 0.66666666666666663, 0.0000000000000000 },
201 
  { 25.902310583215122, 0.66666666666666663, 5.0000000000000000 },
202 
  { 2750.4090423459315, 0.66666666666666663, 10.000000000000000 },
203 
  { 334476.98138574383, 0.66666666666666663, 15.000000000000000 },
204 
  { 43064361.686912313, 0.66666666666666663, 20.000000000000000 },
205 
  { 5722397441.9603882, 0.66666666666666663, 25.000000000000000 },
206 
  { 775804343498.02661, 0.66666666666666663, 30.000000000000000 },
207 
  { 106649495512800.89, 0.66666666666666663, 35.000000000000000 },
208 
  { 14811199896983756., 0.66666666666666663, 40.000000000000000 },
209 
  { 2.0730345814356961e+18, 0.66666666666666663, 45.000000000000000 },
210 
  { 2.9194166755257467e+20, 0.66666666666666663, 50.000000000000000 },
211 
  { 4.1319059569935366e+22, 0.66666666666666663, 55.000000000000000 },
212 
  { 5.8721031476386222e+24, 0.66666666666666663, 60.000000000000000 },
213 
  { 8.3741368248217830e+26, 0.66666666666666663, 65.000000000000000 },
214 
  { 1.1977528777008688e+29, 0.66666666666666663, 70.000000000000000 },
215 
  { 1.7175081240014333e+31, 0.66666666666666663, 75.000000000000000 },
216 
  { 2.4682690458513916e+33, 0.66666666666666663, 80.000000000000000 },
217 
  { 3.5541181975850724e+35, 0.66666666666666663, 85.000000000000000 },
218 
  { 5.1264933963228864e+37, 0.66666666666666663, 90.000000000000000 },
219 
  { 7.4058894880134064e+39, 0.66666666666666663, 95.000000000000000 },
220 
  { 1.0713562154788124e+42, 0.66666666666666663, 100.00000000000000 },
221 
};
222 
 
223 
// Test function for nu=0.66666666666666663.
224 
template <typename Tp>
225 
void test004()
226 
{
227 
  const Tp eps = std::numeric_limits<Tp>::epsilon();
228 
  Tp max_abs_diff = -Tp(1);
229 
  Tp max_abs_frac = -Tp(1);
230 
  unsigned int num_datum = sizeof(data004)
231 
                         / sizeof(testcase_cyl_bessel_i<double>);
232 
  for (unsigned int i = 0; i < num_datum; ++i)
233 
    {
234 
      const Tp f = std::tr1::cyl_bessel_i(Tp(data004[i].nu), Tp(data004[i].x));
235 
      const Tp f0 = data004[i].f0;
236 
      const Tp diff = f - f0;
237 
      if (std::abs(diff) > max_abs_diff)
238 
        max_abs_diff = std::abs(diff);
239 
      if (std::abs(f0) > Tp(10) * eps
240 
       && std::abs(f) > Tp(10) * eps)
241 
        {
242 
          const Tp frac = diff / f0;
243 
          if (std::abs(frac) > max_abs_frac)
244 
            max_abs_frac = std::abs(frac);
245 
        }
246 
    }
247 
  VERIFY(max_abs_frac < Tp(5.0000000000000039e-13));
248 
}
249 
 
250 
// Test data for nu=1.0000000000000000.
251 
testcase_cyl_bessel_i<double> data005[] = {
252 
  { 0.0000000000000000, 1.0000000000000000, 0.0000000000000000 },
253 
  { 24.335642142450524, 1.0000000000000000, 5.0000000000000000 },
254 
  { 2670.9883037012560, 1.0000000000000000, 10.000000000000000 },
255 
  { 328124.92197020649, 1.0000000000000000, 15.000000000000000 },
256 
  { 42454973.385127775, 1.0000000000000000, 20.000000000000000 },
257 
  { 5657865129.8787022, 1.0000000000000000, 25.000000000000000 },
258 
  { 768532038938.95667, 1.0000000000000000, 30.000000000000000 },
259 
  { 105794126051896.17, 1.0000000000000000, 35.000000000000000 },
260 
  { 14707396163259354., 1.0000000000000000, 40.000000000000000 },
261 
  { 2.0601334620815775e+18, 1.0000000000000000, 45.000000000000000 },
262 
  { 2.9030785901035635e+20, 1.0000000000000000, 50.000000000000000 },
263 
  { 4.1108986452992812e+22, 1.0000000000000000, 55.000000000000000 },
264 
  { 5.8447515883904527e+24, 1.0000000000000000, 60.000000000000000 },
265 
  { 8.3381485471501302e+26, 1.0000000000000000, 65.000000000000000 },
266 
  { 1.1929750788892366e+29, 1.0000000000000000, 70.000000000000000 },
267 
  { 1.7111160152965384e+31, 1.0000000000000000, 75.000000000000000 },
268 
  { 2.4596595795675343e+33, 1.0000000000000000, 80.000000000000000 },
269 
  { 3.5424536064404024e+35, 1.0000000000000000, 85.000000000000000 },
270 
  { 5.1106068152566129e+37, 1.0000000000000000, 90.000000000000000 },
271 
  { 7.3841518091360157e+39, 1.0000000000000000, 95.000000000000000 },
272 
  { 1.0683693903381569e+42, 1.0000000000000000, 100.00000000000000 },
273 
};
274 
 
275 
// Test function for nu=1.0000000000000000.
276 
template <typename Tp>
277 
void test005()
278 
{
279 
  const Tp eps = std::numeric_limits<Tp>::epsilon();
280 
  Tp max_abs_diff = -Tp(1);
281 
  Tp max_abs_frac = -Tp(1);
282 
  unsigned int num_datum = sizeof(data005)
283 
                         / sizeof(testcase_cyl_bessel_i<double>);
284 
  for (unsigned int i = 0; i < num_datum; ++i)
285 
    {
286 
      const Tp f = std::tr1::cyl_bessel_i(Tp(data005[i].nu), Tp(data005[i].x));
287 
      const Tp f0 = data005[i].f0;
288 
      const Tp diff = f - f0;
289 
      if (std::abs(diff) > max_abs_diff)
290 
        max_abs_diff = std::abs(diff);
291 
      if (std::abs(f0) > Tp(10) * eps
292 
       && std::abs(f) > Tp(10) * eps)
293 
        {
294 
          const Tp frac = diff / f0;
295 
          if (std::abs(frac) > max_abs_frac)
296 
            max_abs_frac = std::abs(frac);
297 
        }
298 
    }
299 
  VERIFY(max_abs_frac < Tp(5.0000000000000039e-13));
300 
}
301 
 
302 
// Test data for nu=2.0000000000000000.
303 
testcase_cyl_bessel_i<double> data006[] = {
304 
  { 0.0000000000000000, 2.0000000000000000, 0.0000000000000000 },
305 
  { 17.505614966624233, 2.0000000000000000, 5.0000000000000000 },
306 
  { 2281.5189677260046, 2.0000000000000000, 10.000000000000000 },
307 
  { 295899.38370188634, 2.0000000000000000, 15.000000000000000 },
308 
  { 39312785.221040756, 2.0000000000000000, 20.000000000000000 },
309 
  { 5321931396.0760136, 2.0000000000000000, 25.000000000000000 },
310 
  { 730436828561.38013, 2.0000000000000000, 30.000000000000000 },
311 
  { 101293439862977.19, 2.0000000000000000, 35.000000000000000 },
312 
  { 14159404985256920., 2.0000000000000000, 40.000000000000000 },
313 
  { 1.9918525879736883e+18, 2.0000000000000000, 45.000000000000000 },
314 
  { 2.8164306402451938e+20, 2.0000000000000000, 50.000000000000000 },
315 
  { 3.9993023372677515e+22, 2.0000000000000000, 55.000000000000000 },
316 
  { 5.6992520026634433e+24, 2.0000000000000000, 60.000000000000000 },
317 
  { 8.1464814287900378e+26, 2.0000000000000000, 65.000000000000000 },
318 
  { 1.1675039556585663e+29, 2.0000000000000000, 70.000000000000000 },
319 
  { 1.6770093176278926e+31, 2.0000000000000000, 75.000000000000000 },
320 
  { 2.4136869148449879e+33, 2.0000000000000000, 80.000000000000000 },
321 
  { 3.4801257808448186e+35, 2.0000000000000000, 85.000000000000000 },
322 
  { 5.0256693051696307e+37, 2.0000000000000000, 90.000000000000000 },
323 
  { 7.2678700343145842e+39, 2.0000000000000000, 95.000000000000000 },
324 
  { 1.0523843193243042e+42, 2.0000000000000000, 100.00000000000000 },
325 
};
326 
 
327 
// Test function for nu=2.0000000000000000.
328 
template <typename Tp>
329 
void test006()
330 
{
331 
  const Tp eps = std::numeric_limits<Tp>::epsilon();
332 
  Tp max_abs_diff = -Tp(1);
333 
  Tp max_abs_frac = -Tp(1);
334 
  unsigned int num_datum = sizeof(data006)
335 
                         / sizeof(testcase_cyl_bessel_i<double>);
336 
  for (unsigned int i = 0; i < num_datum; ++i)
337 
    {
338 
      const Tp f = std::tr1::cyl_bessel_i(Tp(data006[i].nu), Tp(data006[i].x));
339 
      const Tp f0 = data006[i].f0;
340 
      const Tp diff = f - f0;
341 
      if (std::abs(diff) > max_abs_diff)
342 
        max_abs_diff = std::abs(diff);
343 
      if (std::abs(f0) > Tp(10) * eps
344 
       && std::abs(f) > Tp(10) * eps)
345 
        {
346 
          const Tp frac = diff / f0;
347 
          if (std::abs(frac) > max_abs_frac)
348 
            max_abs_frac = std::abs(frac);
349 
        }
350 
    }
351 
  VERIFY(max_abs_frac < Tp(5.0000000000000039e-13));
352 
}
353 
 
354 
// Test data for nu=5.0000000000000000.
355 
testcase_cyl_bessel_i<double> data007[] = {
356 
  { 0.0000000000000000, 5.0000000000000000, 0.0000000000000000 },
357 
  { 2.1579745473225476, 5.0000000000000000, 5.0000000000000000 },
358 
  { 777.18828640326012, 5.0000000000000000, 10.000000000000000 },
359 
  { 144572.01120063406, 5.0000000000000000, 15.000000000000000 },
360 
  { 23018392.213413671, 5.0000000000000000, 20.000000000000000 },
361 
  { 3472466208.7419176, 5.0000000000000000, 25.000000000000000 },
362 
  { 512151465476.93494, 5.0000000000000000, 30.000000000000000 },
363 
  { 74756743552251.531, 5.0000000000000000, 35.000000000000000 },
364 
  { 10858318337624276., 5.0000000000000000, 40.000000000000000 },
365 
  { 1.5736087399245906e+18, 5.0000000000000000, 45.000000000000000 },
366 
  { 2.2785483079112829e+20, 5.0000000000000000, 50.000000000000000 },
367 
  { 3.2989391052963687e+22, 5.0000000000000000, 55.000000000000000 },
368 
  { 4.7777652072561742e+24, 5.0000000000000000, 60.000000000000000 },
369 
  { 6.9232165147172671e+26, 5.0000000000000000, 65.000000000000000 },
370 
  { 1.0038643002095153e+29, 5.0000000000000000, 70.000000000000000 },
371 
  { 1.4566328222327068e+31, 5.0000000000000000, 75.000000000000000 },
372 
  { 2.1151488565944838e+33, 5.0000000000000000, 80.000000000000000 },
373 
  { 3.0735883450768236e+35, 5.0000000000000000, 85.000000000000000 },
374 
  { 4.4694790189230327e+37, 5.0000000000000000, 90.000000000000000 },
375 
  { 6.5037505570430971e+39, 5.0000000000000000, 95.000000000000000 },
376 
  { 9.4700938730355882e+41, 5.0000000000000000, 100.00000000000000 },
377 
};
378 
 
379 
// Test function for nu=5.0000000000000000.
380 
template <typename Tp>
381 
void test007()
382 
{
383 
  const Tp eps = std::numeric_limits<Tp>::epsilon();
384 
  Tp max_abs_diff = -Tp(1);
385 
  Tp max_abs_frac = -Tp(1);
386 
  unsigned int num_datum = sizeof(data007)
387 
                         / sizeof(testcase_cyl_bessel_i<double>);
388 
  for (unsigned int i = 0; i < num_datum; ++i)
389 
    {
390 
      const Tp f = std::tr1::cyl_bessel_i(Tp(data007[i].nu), Tp(data007[i].x));
391 
      const Tp f0 = data007[i].f0;
392 
      const Tp diff = f - f0;
393 
      if (std::abs(diff) > max_abs_diff)
394 
        max_abs_diff = std::abs(diff);
395 
      if (std::abs(f0) > Tp(10) * eps
396 
       && std::abs(f) > Tp(10) * eps)
397 
        {
398 
          const Tp frac = diff / f0;
399 
          if (std::abs(frac) > max_abs_frac)
400 
            max_abs_frac = std::abs(frac);
401 
        }
402 
    }
403 
  VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
404 
}
405 
 
406 
// Test data for nu=10.000000000000000.
407 
testcase_cyl_bessel_i<double> data008[] = {
408 
  { 0.0000000000000000, 10.000000000000000, 0.0000000000000000 },
409 
  { 0.0045800444191760525, 10.000000000000000, 5.0000000000000000 },
410 
  { 21.891706163723381, 10.000000000000000, 10.000000000000000 },
411 
  { 12267.475049806462, 10.000000000000000, 15.000000000000000 },
412 
  { 3540200.2090195213, 10.000000000000000, 20.000000000000000 },
413 
  { 771298871.17072666, 10.000000000000000, 25.000000000000000 },
414 
  { 145831809975.96713, 10.000000000000000, 30.000000000000000 },
415 
  { 25449470018534.785, 10.000000000000000, 35.000000000000000 },
416 
  { 4228469210516757.5, 10.000000000000000, 40.000000000000000 },
417 
  { 6.8049404557505152e+17, 10.000000000000000, 45.000000000000000 },
418 
  { 1.0715971594776370e+20, 10.000000000000000, 50.000000000000000 },
419 
  { 1.6618215752886714e+22, 10.000000000000000, 55.000000000000000 },
420 
  { 2.5486246072566784e+24, 10.000000000000000, 60.000000000000000 },
421 
  { 3.8764628702155481e+26, 10.000000000000000, 65.000000000000000 },
422 
  { 5.8592538145409686e+28, 10.000000000000000, 70.000000000000000 },
423 
  { 8.8135370711317444e+30, 10.000000000000000, 75.000000000000000 },
424 
  { 1.3207418268325279e+33, 10.000000000000000, 80.000000000000000 },
425 
  { 1.9732791360862186e+35, 10.000000000000000, 85.000000000000000 },
426 
  { 2.9411893748384672e+37, 10.000000000000000, 90.000000000000000 },
427 
  { 4.3754494922439990e+39, 10.000000000000000, 95.000000000000000 },
428 
  { 6.4989755247201446e+41, 10.000000000000000, 100.00000000000000 },
429 
};
430 
 
431 
// Test function for nu=10.000000000000000.
432 
template <typename Tp>
433 
void test008()
434 
{
435 
  const Tp eps = std::numeric_limits<Tp>::epsilon();
436 
  Tp max_abs_diff = -Tp(1);
437 
  Tp max_abs_frac = -Tp(1);
438 
  unsigned int num_datum = sizeof(data008)
439 
                         / sizeof(testcase_cyl_bessel_i<double>);
440 
  for (unsigned int i = 0; i < num_datum; ++i)
441 
    {
442 
      const Tp f = std::tr1::cyl_bessel_i(Tp(data008[i].nu), Tp(data008[i].x));
443 
      const Tp f0 = data008[i].f0;
444 
      const Tp diff = f - f0;
445 
      if (std::abs(diff) > max_abs_diff)
446 
        max_abs_diff = std::abs(diff);
447 
      if (std::abs(f0) > Tp(10) * eps
448 
       && std::abs(f) > Tp(10) * eps)
449 
        {
450 
          const Tp frac = diff / f0;
451 
          if (std::abs(frac) > max_abs_frac)
452 
            max_abs_frac = std::abs(frac);
453 
        }
454 
    }
455 
  VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
456 
}
457 
 
458 
// Test data for nu=20.000000000000000.
459 
testcase_cyl_bessel_i<double> data009[] = {
460 
  { 0.0000000000000000, 20.000000000000000, 0.0000000000000000 },
461 
  { 5.0242393579718066e-11, 20.000000000000000, 5.0000000000000000 },
462 
  { 0.00012507997356449481, 20.000000000000000, 10.000000000000000 },
463 
  { 1.6470152535015834, 20.000000000000000, 15.000000000000000 },
464 
  { 3188.7503288536154, 20.000000000000000, 20.000000000000000 },
465 
  { 2449840.5422952301, 20.000000000000000, 25.000000000000000 },
466 
  { 1126985104.4483771, 20.000000000000000, 30.000000000000000 },
467 
  { 379617876611.88586, 20.000000000000000, 35.000000000000000 },
468 
  { 104459633129479.89, 20.000000000000000, 40.000000000000000 },
469 
  { 25039579987216504., 20.000000000000000, 45.000000000000000 },
470 
  { 5.4420084027529964e+18, 20.000000000000000, 50.000000000000000 },
471 
  { 1.1007498584335492e+21, 20.000000000000000, 55.000000000000000 },
472 
  { 2.1091734863057236e+23, 20.000000000000000, 60.000000000000000 },
473 
  { 3.8763618091286899e+25, 20.000000000000000, 65.000000000000000 },
474 
  { 6.8946130527930859e+27, 20.000000000000000, 70.000000000000000 },
475 
  { 1.1946319948836447e+30, 20.000000000000000, 75.000000000000000 },
476 
  { 2.0265314377577580e+32, 20.000000000000000, 80.000000000000000 },
477 
  { 3.3784665214179971e+34, 20.000000000000000, 85.000000000000000 },
478 
  { 5.5516089411796670e+36, 20.000000000000000, 90.000000000000000 },
479 
  { 9.0129310795305151e+38, 20.000000000000000, 95.000000000000000 },
480 
  { 1.4483461256427176e+41, 20.000000000000000, 100.00000000000000 },
481 
};
482 
 
483 
// Test function for nu=20.000000000000000.
484 
template <typename Tp>
485 
void test009()
486 
{
487 
  const Tp eps = std::numeric_limits<Tp>::epsilon();
488 
  Tp max_abs_diff = -Tp(1);
489 
  Tp max_abs_frac = -Tp(1);
490 
  unsigned int num_datum = sizeof(data009)
491 
                         / sizeof(testcase_cyl_bessel_i<double>);
492 
  for (unsigned int i = 0; i < num_datum; ++i)
493 
    {
494 
      const Tp f = std::tr1::cyl_bessel_i(Tp(data009[i].nu), Tp(data009[i].x));
495 
      const Tp f0 = data009[i].f0;
496 
      const Tp diff = f - f0;
497 
      if (std::abs(diff) > max_abs_diff)
498 
        max_abs_diff = std::abs(diff);
499 
      if (std::abs(f0) > Tp(10) * eps
500 
       && std::abs(f) > Tp(10) * eps)
501 
        {
502 
          const Tp frac = diff / f0;
503 
          if (std::abs(frac) > max_abs_frac)
504 
            max_abs_frac = std::abs(frac);
505 
        }
506 
    }
507 
  VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
508 
}
509 
 
510 
// Test data for nu=50.000000000000000.
511 
testcase_cyl_bessel_i<double> data010[] = {
512 
  { 0.0000000000000000, 50.000000000000000, 0.0000000000000000 },
513 
  { 2.9314696468108517e-45, 50.000000000000000, 5.0000000000000000 },
514 
  { 4.7568945607268442e-30, 50.000000000000000, 10.000000000000000 },
515 
  { 5.5468372730667069e-21, 50.000000000000000, 15.000000000000000 },
516 
  { 2.2551205757604056e-14, 50.000000000000000, 20.000000000000000 },
517 
  { 4.5344251866130282e-09, 50.000000000000000, 25.000000000000000 },
518 
  { 0.00014590106916468937, 50.000000000000000, 30.000000000000000 },
519 
  { 1.3965549457254878, 50.000000000000000, 35.000000000000000 },
520 
  { 5726.8656631289878, 50.000000000000000, 40.000000000000000 },
521 
  { 12672593.113027776, 50.000000000000000, 45.000000000000000 },
522 
  { 17650802430.016705, 50.000000000000000, 50.000000000000000 },
523 
  { 17220231607789.926, 50.000000000000000, 55.000000000000000 },
524 
  { 12704607933652172., 50.000000000000000, 60.000000000000000 },
525 
  { 7.4989491942193766e+18, 50.000000000000000, 65.000000000000000 },
526 
  { 3.6944034898904901e+21, 50.000000000000000, 70.000000000000000 },
527 
  { 1.5691634774370194e+24, 50.000000000000000, 75.000000000000000 },
528 
  { 5.8927749458163587e+26, 50.000000000000000, 80.000000000000000 },
529 
  { 1.9958849054749339e+29, 50.000000000000000, 85.000000000000000 },
530 
  { 6.1946050361781518e+31, 50.000000000000000, 90.000000000000000 },
531 
  { 1.7845429728697110e+34, 50.000000000000000, 95.000000000000000 },
532 
  { 4.8219580855940813e+36, 50.000000000000000, 100.00000000000000 },
533 
};
534 
 
535 
// Test function for nu=50.000000000000000.
536 
template <typename Tp>
537 
void test010()
538 
{
539 
  const Tp eps = std::numeric_limits<Tp>::epsilon();
540 
  Tp max_abs_diff = -Tp(1);
541 
  Tp max_abs_frac = -Tp(1);
542 
  unsigned int num_datum = sizeof(data010)
543 
                         / sizeof(testcase_cyl_bessel_i<double>);
544 
  for (unsigned int i = 0; i < num_datum; ++i)
545 
    {
546 
      const Tp f = std::tr1::cyl_bessel_i(Tp(data010[i].nu), Tp(data010[i].x));
547 
      const Tp f0 = data010[i].f0;
548 
      const Tp diff = f - f0;
549 
      if (std::abs(diff) > max_abs_diff)
550 
        max_abs_diff = std::abs(diff);
551 
      if (std::abs(f0) > Tp(10) * eps
552 
       && std::abs(f) > Tp(10) * eps)
553 
        {
554 
          const Tp frac = diff / f0;
555 
          if (std::abs(frac) > max_abs_frac)
556 
            max_abs_frac = std::abs(frac);
557 
        }
558 
    }
559 
  VERIFY(max_abs_frac < Tp(5.0000000000000029e-12));
560 
}
561 
 
562 
// Test data for nu=100.00000000000000.
563 
testcase_cyl_bessel_i<double> data011[] = {
564 
  { 0.0000000000000000, 100.00000000000000, 0.0000000000000000 },
565 
  { 7.0935514885313123e-119, 100.00000000000000, 5.0000000000000000 },
566 
  { 1.0823442017492018e-88, 100.00000000000000, 10.000000000000000 },
567 
  { 5.9887888536468904e-71, 100.00000000000000, 15.000000000000000 },
568 
  { 2.8703193216428771e-58, 100.00000000000000, 20.000000000000000 },
569 
  { 2.4426896913122370e-48, 100.00000000000000, 25.000000000000000 },
570 
  { 3.9476420053334271e-40, 100.00000000000000, 30.000000000000000 },
571 
  { 4.2836596180818801e-33, 100.00000000000000, 35.000000000000000 },
572 
  { 6.6249380222596129e-27, 100.00000000000000, 40.000000000000000 },
573 
  { 2.3702587262788881e-21, 100.00000000000000, 45.000000000000000 },
574 
  { 2.7278879470966907e-16, 100.00000000000000, 50.000000000000000 },
575 
  { 1.2763258878228088e-11, 100.00000000000000, 55.000000000000000 },
576 
  { 2.8832770906491951e-07, 100.00000000000000, 60.000000000000000 },
577 
  { 0.0035805902717061240, 100.00000000000000, 65.000000000000000 },
578 
  { 27.017219102595398, 100.00000000000000, 70.000000000000000 },
579 
  { 134001.44891209516, 100.00000000000000, 75.000000000000000 },
580 
  { 465194832.85061038, 100.00000000000000, 80.000000000000000 },
581 
  { 1189280653119.4819, 100.00000000000000, 85.000000000000000 },
582 
  { 2334119331258731.0, 100.00000000000000, 90.000000000000000 },
583 
  { 3.6399223078502380e+18, 100.00000000000000, 95.000000000000000 },
584 
  { 4.6415349416161989e+21, 100.00000000000000, 100.00000000000000 },
585 
};
586 
 
587 
// Test function for nu=100.00000000000000.
588 
template <typename Tp>
589 
void test011()
590 
{
591 
  const Tp eps = std::numeric_limits<Tp>::epsilon();
592 
  Tp max_abs_diff = -Tp(1);
593 
  Tp max_abs_frac = -Tp(1);
594 
  unsigned int num_datum = sizeof(data011)
595 
                         / sizeof(testcase_cyl_bessel_i<double>);
596 
  for (unsigned int i = 0; i < num_datum; ++i)
597 
    {
598 
      const Tp f = std::tr1::cyl_bessel_i(Tp(data011[i].nu), Tp(data011[i].x));
599 
      const Tp f0 = data011[i].f0;
600 
      const Tp diff = f - f0;
601 
      if (std::abs(diff) > max_abs_diff)
602 
        max_abs_diff = std::abs(diff);
603 
      if (std::abs(f0) > Tp(10) * eps
604 
       && std::abs(f) > Tp(10) * eps)
605 
        {
606 
          const Tp frac = diff / f0;
607 
          if (std::abs(frac) > max_abs_frac)
608 
            max_abs_frac = std::abs(frac);
609 
        }
610 
    }
611 
  VERIFY(max_abs_frac < Tp(2.5000000000000014e-11));
612 
}
613 
 
614 
int main(int, char**)
615 
{
616 
  test001<double>();
617 
  test002<double>();
618 
  test003<double>();
619 
  test004<double>();
620 
  test005<double>();
621 
  test006<double>();
622 
  test007<double>();
623 
  test008<double>();
624 
  test009<double>();
625 
  test010<double>();
626 
  test011<double>();
627 
  return 0;
628 
}

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