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[/] [openrisc/] [tags/] [gnu-src/] [gcc-4.5.1/] [gcc-4.5.1-or32-1.0rc3/] [libstdc++-v3/] [testsuite/] [tr1/] [5_numerical_facilities/] [special_functions/] [09_cyl_bessel_j/] [check_value.cc] - Blame information for rev 516

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Line No. Rev Author Line
1 424 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_j
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_j<double> data001[] = {
44 
  { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000 },
45 
  { -0.17759677131433835, 0.0000000000000000, 5.0000000000000000 },
46 
  { -0.24593576445134832, 0.0000000000000000, 10.000000000000000 },
47 
  { -0.014224472826780788, 0.0000000000000000, 15.000000000000000 },
48 
  { 0.16702466434058319, 0.0000000000000000, 20.000000000000000 },
49 
  { 0.096266783275958140, 0.0000000000000000, 25.000000000000000 },
50 
  { -0.086367983581040184, 0.0000000000000000, 30.000000000000000 },
51 
  { -0.12684568275631256, 0.0000000000000000, 35.000000000000000 },
52 
  { 0.0073668905842372914, 0.0000000000000000, 40.000000000000000 },
53 
  { 0.11581867067325630, 0.0000000000000000, 45.000000000000000 },
54 
  { 0.055812327669251746, 0.0000000000000000, 50.000000000000000 },
55 
  { -0.074548302648236808, 0.0000000000000000, 55.000000000000000 },
56 
  { -0.091471804089061873, 0.0000000000000000, 60.000000000000000 },
57 
  { 0.018687343227677920, 0.0000000000000000, 65.000000000000000 },
58 
  { 0.094908726483013517, 0.0000000000000000, 70.000000000000000 },
59 
  { 0.034643913805097029, 0.0000000000000000, 75.000000000000000 },
60 
  { -0.069742165512210061, 0.0000000000000000, 80.000000000000000 },
61 
  { -0.070940394796273301, 0.0000000000000000, 85.000000000000000 },
62 
  { 0.026630016699969568, 0.0000000000000000, 90.000000000000000 },
63 
  { 0.081811967783384149, 0.0000000000000000, 95.000000000000000 },
64 
  { 0.019985850304223264, 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_j<double>);
76 
  for (unsigned int i = 0; i < num_datum; ++i)
77 
    {
78 
      const Tp f = std::tr1::cyl_bessel_j(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(2.5000000000000014e-11));
92 
}
93 
 
94 
// Test data for nu=0.33333333333333331.
95 
testcase_cyl_bessel_j<double> data002[] = {
96 
  { 0.0000000000000000, 0.33333333333333331, 0.0000000000000000 },
97 
  { -0.30642046380026405, 0.33333333333333331, 5.0000000000000000 },
98 
  { -0.18614516704869569, 0.33333333333333331, 10.000000000000000 },
99 
  { 0.089740004221152581, 0.33333333333333331, 15.000000000000000 },
100 
  { 0.17606058001293898, 0.33333333333333331, 20.000000000000000 },
101 
  { 0.020097162141383202, 0.33333333333333331, 25.000000000000000 },
102 
  { -0.13334053387426156, 0.33333333333333331, 30.000000000000000 },
103 
  { -0.087118009397765442, 0.33333333333333331, 35.000000000000000 },
104 
  { 0.069202942818858165, 0.33333333333333331, 40.000000000000000 },
105 
  { 0.11387616964518317, 0.33333333333333331, 45.000000000000000 },
106 
  { -0.00057226680771807741, 0.33333333333333331, 50.000000000000000 },
107 
  { -0.10331600929280821, 0.33333333333333331, 55.000000000000000 },
108 
  { -0.055618147270528023, 0.33333333333333331, 60.000000000000000 },
109 
  { 0.064711954014113920, 0.33333333333333331, 65.000000000000000 },
110 
  { 0.086879926462481619, 0.33333333333333331, 70.000000000000000 },
111 
  { -0.012614484229891070, 0.33333333333333331, 75.000000000000000 },
112 
  { -0.088199784400034537, 0.33333333333333331, 80.000000000000000 },
113 
  { -0.036703611076564557, 0.33333333333333331, 85.000000000000000 },
114 
  { 0.062916286828779533, 0.33333333333333331, 90.000000000000000 },
115 
  { 0.069465244416806071, 0.33333333333333331, 95.000000000000000 },
116 
  { -0.021271244853702295, 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_j<double>);
128 
  for (unsigned int i = 0; i < num_datum; ++i)
129 
    {
130 
      const Tp f = std::tr1::cyl_bessel_j(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(2.5000000000000017e-10));
144 
}
145 
 
146 
// Test data for nu=0.50000000000000000.
147 
testcase_cyl_bessel_j<double> data003[] = {
148 
  { 0.0000000000000000, 0.50000000000000000, 0.0000000000000000 },
149 
  { -0.34216798479816180, 0.50000000000000000, 5.0000000000000000 },
150 
  { -0.13726373575505049, 0.50000000000000000, 10.000000000000000 },
151 
  { 0.13396768882243942, 0.50000000000000000, 15.000000000000000 },
152 
  { 0.16288076385502981, 0.50000000000000000, 20.000000000000000 },
153 
  { -0.021120283599650416, 0.50000000000000000, 25.000000000000000 },
154 
  { -0.14392965337039987, 0.50000000000000000, 30.000000000000000 },
155 
  { -0.057747757589458860, 0.50000000000000000, 35.000000000000000 },
156 
  { 0.094000962389533579, 0.50000000000000000, 40.000000000000000 },
157 
  { 0.10120783324271412, 0.50000000000000000, 45.000000000000000 },
158 
  { -0.029605831888924662, 0.50000000000000000, 50.000000000000000 },
159 
  { -0.10756039213265806, 0.50000000000000000, 55.000000000000000 },
160 
  { -0.031397461182520445, 0.50000000000000000, 60.000000000000000 },
161 
  { 0.081827430775628568, 0.50000000000000000, 65.000000000000000 },
162 
  { 0.073802429539054637, 0.50000000000000000, 70.000000000000000 },
163 
  { -0.035727009681702594, 0.50000000000000000, 75.000000000000000 },
164 
  { -0.088661035811765446, 0.50000000000000000, 80.000000000000000 },
165 
  { -0.015238065106312407, 0.50000000000000000, 85.000000000000000 },
166 
  { 0.075189068550269425, 0.50000000000000000, 90.000000000000000 },
167 
  { 0.055932643481494140, 0.50000000000000000, 95.000000000000000 },
168 
  { -0.040402132716252113, 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_j<double>);
180 
  for (unsigned int i = 0; i < num_datum; ++i)
181 
    {
182 
      const Tp f = std::tr1::cyl_bessel_j(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(2.5000000000000014e-11));
196 
}
197 
 
198 
// Test data for nu=0.66666666666666663.
199 
testcase_cyl_bessel_j<double> data004[] = {
200 
  { 0.0000000000000000, 0.66666666666666663, 0.0000000000000000 },
201 
  { -0.35712533549168879, 0.66666666666666663, 5.0000000000000000 },
202 
  { -0.080149603304315822, 0.66666666666666663, 10.000000000000000 },
203 
  { 0.16918875175798076, 0.66666666666666663, 15.000000000000000 },
204 
  { 0.13904826122116526, 0.66666666666666663, 20.000000000000000 },
205 
  { -0.060770629698497579, 0.66666666666666663, 25.000000000000000 },
206 
  { -0.14489851974205059, 0.66666666666666663, 30.000000000000000 },
207 
  { -0.024604880159644467, 0.66666666666666663, 35.000000000000000 },
208 
  { 0.11243936464912015, 0.66666666666666663, 40.000000000000000 },
209 
  { 0.081776275512525379, 0.66666666666666663, 45.000000000000000 },
210 
  { -0.056589908749367770, 0.66666666666666663, 50.000000000000000 },
211 
  { -0.10455814523765933, 0.66666666666666663, 55.000000000000000 },
212 
  { -0.0051030148548608109, 0.66666666666666663, 60.000000000000000 },
213 
  { 0.093398227061639250, 0.66666666666666663, 65.000000000000000 },
214 
  { 0.055763883611864899, 0.66666666666666663, 70.000000000000000 },
215 
  { -0.056395322915757343, 0.66666666666666663, 75.000000000000000 },
216 
  { -0.083131347805783087, 0.66666666666666663, 80.000000000000000 },
217 
  { 0.0072315397874096309, 0.66666666666666663, 85.000000000000000 },
218 
  { 0.082362798520905264, 0.66666666666666663, 90.000000000000000 },
219 
  { 0.038630504403446168, 0.66666666666666663, 95.000000000000000 },
220 
  { -0.056778819380529706, 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_j<double>);
232 
  for (unsigned int i = 0; i < num_datum; ++i)
233 
    {
234 
      const Tp f = std::tr1::cyl_bessel_j(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(1.0000000000000006e-10));
248 
}
249 
 
250 
// Test data for nu=1.0000000000000000.
251 
testcase_cyl_bessel_j<double> data005[] = {
252 
  { 0.0000000000000000, 1.0000000000000000, 0.0000000000000000 },
253 
  { -0.32757913759146523, 1.0000000000000000, 5.0000000000000000 },
254 
  { 0.043472746168861369, 1.0000000000000000, 10.000000000000000 },
255 
  { 0.20510403861352278, 1.0000000000000000, 15.000000000000000 },
256 
  { 0.066833124175850092, 1.0000000000000000, 20.000000000000000 },
257 
  { -0.12535024958028987, 1.0000000000000000, 25.000000000000000 },
258 
  { -0.11875106261662292, 1.0000000000000000, 30.000000000000000 },
259 
  { 0.043990942179625556, 1.0000000000000000, 35.000000000000000 },
260 
  { 0.12603831803758497, 1.0000000000000000, 40.000000000000000 },
261 
  { 0.028348854376424548, 1.0000000000000000, 45.000000000000000 },
262 
  { -0.097511828125175157, 1.0000000000000000, 50.000000000000000 },
263 
  { -0.078250038308684655, 1.0000000000000000, 55.000000000000000 },
264 
  { 0.046598383758166398, 1.0000000000000000, 60.000000000000000 },
265 
  { 0.097330172226126929, 1.0000000000000000, 65.000000000000000 },
266 
  { 0.0099877887848384625, 1.0000000000000000, 70.000000000000000 },
267 
  { -0.085139995044829109, 1.0000000000000000, 75.000000000000000 },
268 
  { -0.056057296675712610, 1.0000000000000000, 80.000000000000000 },
269 
  { 0.049151460334891116, 1.0000000000000000, 85.000000000000000 },
270 
  { 0.079925646708868064, 1.0000000000000000, 90.000000000000000 },
271 
  { -0.0023925612997268684, 1.0000000000000000, 95.000000000000000 },
272 
  { -0.077145352014112142, 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_j<double>);
284 
  for (unsigned int i = 0; i < num_datum; ++i)
285 
    {
286 
      const Tp f = std::tr1::cyl_bessel_j(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(1.0000000000000006e-10));
300 
}
301 
 
302 
// Test data for nu=2.0000000000000000.
303 
testcase_cyl_bessel_j<double> data006[] = {
304 
  { 0.0000000000000000, 2.0000000000000000, 0.0000000000000000 },
305 
  { 0.046565116277751971, 2.0000000000000000, 5.0000000000000000 },
306 
  { 0.25463031368512062, 2.0000000000000000, 10.000000000000000 },
307 
  { 0.041571677975250479, 2.0000000000000000, 15.000000000000000 },
308 
  { -0.16034135192299817, 2.0000000000000000, 20.000000000000000 },
309 
  { -0.10629480324238134, 2.0000000000000000, 25.000000000000000 },
310 
  { 0.078451246073265340, 2.0000000000000000, 30.000000000000000 },
311 
  { 0.12935945088086262, 2.0000000000000000, 35.000000000000000 },
312 
  { -0.0010649746823580893, 2.0000000000000000, 40.000000000000000 },
313 
  { -0.11455872158985966, 2.0000000000000000, 45.000000000000000 },
314 
  { -0.059712800794258801, 2.0000000000000000, 50.000000000000000 },
315 
  { 0.071702846709739212, 2.0000000000000000, 55.000000000000000 },
316 
  { 0.093025083547667448, 2.0000000000000000, 60.000000000000000 },
317 
  { -0.015692568697643280, 2.0000000000000000, 65.000000000000000 },
318 
  { -0.094623361089160987, 2.0000000000000000, 70.000000000000000 },
319 
  { -0.036914313672959186, 2.0000000000000000, 75.000000000000000 },
320 
  { 0.068340733095317227, 2.0000000000000000, 80.000000000000000 },
321 
  { 0.072096899745329499, 2.0000000000000000, 85.000000000000000 },
322 
  { -0.024853891217550262, 2.0000000000000000, 90.000000000000000 },
323 
  { -0.081862337494957346, 2.0000000000000000, 95.000000000000000 },
324 
  { -0.021528757344505392, 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_j<double>);
336 
  for (unsigned int i = 0; i < num_datum; ++i)
337 
    {
338 
      const Tp f = std::tr1::cyl_bessel_j(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(1.0000000000000006e-10));
352 
}
353 
 
354 
// Test data for nu=5.0000000000000000.
355 
testcase_cyl_bessel_j<double> data007[] = {
356 
  { 0.0000000000000000, 5.0000000000000000, 0.0000000000000000 },
357 
  { 0.26114054612017007, 5.0000000000000000, 5.0000000000000000 },
358 
  { -0.23406152818679365, 5.0000000000000000, 10.000000000000000 },
359 
  { 0.13045613456502966, 5.0000000000000000, 15.000000000000000 },
360 
  { 0.15116976798239504, 5.0000000000000000, 20.000000000000000 },
361 
  { -0.066007995398423044, 5.0000000000000000, 25.000000000000000 },
362 
  { -0.14324029551207709, 5.0000000000000000, 30.000000000000000 },
363 
  { -0.0015053072953907080, 5.0000000000000000, 35.000000000000000 },
364 
  { 0.12257346597711774, 5.0000000000000000, 40.000000000000000 },
365 
  { 0.057984499200954144, 5.0000000000000000, 45.000000000000000 },
366 
  { -0.081400247696569658, 5.0000000000000000, 50.000000000000000 },
367 
  { -0.092569895786432710, 5.0000000000000000, 55.000000000000000 },
368 
  { 0.027454744228344184, 5.0000000000000000, 60.000000000000000 },
369 
  { 0.099110527701539039, 5.0000000000000000, 65.000000000000000 },
370 
  { 0.026058129823895274, 5.0000000000000000, 70.000000000000000 },
371 
  { -0.078523977013751398, 5.0000000000000000, 75.000000000000000 },
372 
  { -0.065862349140031654, 5.0000000000000000, 80.000000000000000 },
373 
  { 0.038669072284680923, 5.0000000000000000, 85.000000000000000 },
374 
  { 0.082759319528415129, 5.0000000000000000, 90.000000000000000 },
375 
  { 0.0079423372702472905, 5.0000000000000000, 95.000000000000000 },
376 
  { -0.074195736964513911, 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_j<double>);
388 
  for (unsigned int i = 0; i < num_datum; ++i)
389 
    {
390 
      const Tp f = std::tr1::cyl_bessel_j(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(5.0000000000000028e-11));
404 
}
405 
 
406 
// Test data for nu=10.000000000000000.
407 
testcase_cyl_bessel_j<double> data008[] = {
408 
  { 0.0000000000000000, 10.000000000000000, 0.0000000000000000 },
409 
  { 0.0014678026473104744, 10.000000000000000, 5.0000000000000000 },
410 
  { 0.20748610663335865, 10.000000000000000, 10.000000000000000 },
411 
  { -0.090071811047659045, 10.000000000000000, 15.000000000000000 },
412 
  { 0.18648255802394512, 10.000000000000000, 20.000000000000000 },
413 
  { -0.075179843948523270, 10.000000000000000, 25.000000000000000 },
414 
  { -0.12987689399858882, 10.000000000000000, 30.000000000000000 },
415 
  { 0.063546391343962852, 10.000000000000000, 35.000000000000000 },
416 
  { 0.11938336278226093, 10.000000000000000, 40.000000000000000 },
417 
  { -0.026971402475010734, 10.000000000000000, 45.000000000000000 },
418 
  { -0.11384784914946940, 10.000000000000000, 50.000000000000000 },
419 
  { -0.015773790303746010, 10.000000000000000, 55.000000000000000 },
420 
  { 0.097177143328071106, 10.000000000000000, 60.000000000000000 },
421 
  { 0.054617389951112157, 10.000000000000000, 65.000000000000000 },
422 
  { -0.065870338561951874, 10.000000000000000, 70.000000000000000 },
423 
  { -0.080417867891894437, 10.000000000000000, 75.000000000000000 },
424 
  { 0.024043850978184754, 10.000000000000000, 80.000000000000000 },
425 
  { 0.086824832700067869, 10.000000000000000, 85.000000000000000 },
426 
  { 0.019554748856312278, 10.000000000000000, 90.000000000000000 },
427 
  { -0.072341598669443757, 10.000000000000000, 95.000000000000000 },
428 
  { -0.054732176935472103, 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_j<double>);
440 
  for (unsigned int i = 0; i < num_datum; ++i)
441 
    {
442 
      const Tp f = std::tr1::cyl_bessel_j(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(2.5000000000000014e-11));
456 
}
457 
 
458 
// Test data for nu=20.000000000000000.
459 
testcase_cyl_bessel_j<double> data009[] = {
460 
  { 0.0000000000000000, 20.000000000000000, 0.0000000000000000 },
461 
  { 2.7703300521289426e-11, 20.000000000000000, 5.0000000000000000 },
462 
  { 1.1513369247813403e-05, 20.000000000000000, 10.000000000000000 },
463 
  { 0.0073602340792234882, 20.000000000000000, 15.000000000000000 },
464 
  { 0.16474777377532657, 20.000000000000000, 20.000000000000000 },
465 
  { 0.051994049228303287, 20.000000000000000, 25.000000000000000 },
466 
  { 0.0048310199934041105, 20.000000000000000, 30.000000000000000 },
467 
  { -0.10927417397178038, 20.000000000000000, 35.000000000000000 },
468 
  { 0.12779393355084886, 20.000000000000000, 40.000000000000000 },
469 
  { 0.0047633437900312841, 20.000000000000000, 45.000000000000000 },
470 
  { -0.11670435275957974, 20.000000000000000, 50.000000000000000 },
471 
  { 0.025389204574566695, 20.000000000000000, 55.000000000000000 },
472 
  { 0.10266020557876331, 20.000000000000000, 60.000000000000000 },
473 
  { -0.023138582263434168, 20.000000000000000, 65.000000000000000 },
474 
  { -0.096058573489952323, 20.000000000000000, 70.000000000000000 },
475 
  { 0.0068961047221522270, 20.000000000000000, 75.000000000000000 },
476 
  { 0.090565405489918357, 20.000000000000000, 80.000000000000000 },
477 
  { 0.015985497599497155, 20.000000000000000, 85.000000000000000 },
478 
  { -0.080345344044422506, 20.000000000000000, 90.000000000000000 },
479 
  { -0.040253075701614051, 20.000000000000000, 95.000000000000000 },
480 
  { 0.062217458498338679, 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_j<double>);
492 
  for (unsigned int i = 0; i < num_datum; ++i)
493 
    {
494 
      const Tp f = std::tr1::cyl_bessel_j(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(1.0000000000000006e-10));
508 
}
509 
 
510 
// Test data for nu=50.000000000000000.
511 
testcase_cyl_bessel_j<double> data010[] = {
512 
  { 0.0000000000000000, 50.000000000000000, 0.0000000000000000 },
513 
  { 2.2942476159525415e-45, 50.000000000000000, 5.0000000000000000 },
514 
  { 1.7845136078715964e-30, 50.000000000000000, 10.000000000000000 },
515 
  { 6.1060519495338733e-22, 50.000000000000000, 15.000000000000000 },
516 
  { 4.4510392847006872e-16, 50.000000000000000, 20.000000000000000 },
517 
  { 9.7561594280229727e-12, 50.000000000000000, 25.000000000000000 },
518 
  { 2.0581656631564181e-08, 50.000000000000000, 30.000000000000000 },
519 
  { 7.6069951699272926e-06, 50.000000000000000, 35.000000000000000 },
520 
  { 0.00068185243531768255, 50.000000000000000, 40.000000000000000 },
521 
  { 0.017284343240791228, 50.000000000000000, 45.000000000000000 },
522 
  { 0.12140902189761522, 50.000000000000000, 50.000000000000000 },
523 
  { 0.13594720957176004, 50.000000000000000, 55.000000000000000 },
524 
  { -0.13798273148535209, 50.000000000000000, 60.000000000000000 },
525 
  { 0.12116217746619408, 50.000000000000000, 65.000000000000000 },
526 
  { -0.11394866738787141, 50.000000000000000, 70.000000000000000 },
527 
  { 0.094076799581573417, 50.000000000000000, 75.000000000000000 },
528 
  { -0.039457764590251236, 50.000000000000000, 80.000000000000000 },
529 
  { -0.040412060734136369, 50.000000000000000, 85.000000000000000 },
530 
  { 0.090802099838032252, 50.000000000000000, 90.000000000000000 },
531 
  { -0.055979156267280269, 50.000000000000000, 95.000000000000000 },
532 
  { -0.038698339728525460, 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_j<double>);
544 
  for (unsigned int i = 0; i < num_datum; ++i)
545 
    {
546 
      const Tp f = std::tr1::cyl_bessel_j(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(1.0000000000000006e-11));
560 
}
561 
 
562 
// Test data for nu=100.00000000000000.
563 
testcase_cyl_bessel_j<double> data011[] = {
564 
  { 0.0000000000000000, 100.00000000000000, 0.0000000000000000 },
565 
  { 6.2677893955418763e-119, 100.00000000000000, 5.0000000000000000 },
566 
  { 6.5973160641553816e-89, 100.00000000000000, 10.000000000000000 },
567 
  { 1.9660095611249536e-71, 100.00000000000000, 15.000000000000000 },
568 
  { 3.9617550943362524e-59, 100.00000000000000, 20.000000000000000 },
569 
  { 1.1064482655301687e-49, 100.00000000000000, 25.000000000000000 },
570 
  { 4.5788015281752354e-42, 100.00000000000000, 30.000000000000000 },
571 
  { 9.9210206714732606e-36, 100.00000000000000, 35.000000000000000 },
572 
  { 2.3866062996027414e-30, 100.00000000000000, 40.000000000000000 },
573 
  { 1.0329791804565538e-25, 100.00000000000000, 45.000000000000000 },
574 
  { 1.1159273690838340e-21, 100.00000000000000, 50.000000000000000 },
575 
  { 3.7899753451900682e-18, 100.00000000000000, 55.000000000000000 },
576 
  { 4.7832744078781205e-15, 100.00000000000000, 60.000000000000000 },
577 
  { 2.5375564579490517e-12, 100.00000000000000, 65.000000000000000 },
578 
  { 6.1982452141641260e-10, 100.00000000000000, 70.000000000000000 },
579 
  { 7.4479005905904457e-08, 100.00000000000000, 75.000000000000000 },
580 
  { 4.6065530648234948e-06, 100.00000000000000, 80.000000000000000 },
581 
  { 0.00015043869999501605, 100.00000000000000, 85.000000000000000 },
582 
  { 0.0026021305819963472, 100.00000000000000, 90.000000000000000 },
583 
  { 0.023150768009428162, 100.00000000000000, 95.000000000000000 },
584 
  { 0.096366673295861571, 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_j<double>);
596 
  for (unsigned int i = 0; i < num_datum; ++i)
597 
    {
598 
      const Tp f = std::tr1::cyl_bessel_j(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(1.0000000000000006e-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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