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[/] [openrisc/] [trunk/] [gnu-src/] [gcc-4.5.1/] [libstdc++-v3/] [testsuite/] [tr1/] [5_numerical_facilities/] [special_functions/] [10_cyl_bessel_k/] [check_value.cc] - Blame information for rev 424

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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_k
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_k<double> data001[] = {
44 
  { 0.0036910983340425947, 0.0000000000000000, 5.0000000000000000 },
45 
  { 1.7780062316167650e-05, 0.0000000000000000, 10.000000000000000 },
46 
  { 9.8195364823964333e-08, 0.0000000000000000, 15.000000000000000 },
47 
  { 5.7412378153365238e-10, 0.0000000000000000, 20.000000000000000 },
48 
  { 3.4641615622131151e-12, 0.0000000000000000, 25.000000000000000 },
49 
  { 2.1324774964630566e-14, 0.0000000000000000, 30.000000000000000 },
50 
  { 1.3310351491429464e-16, 0.0000000000000000, 35.000000000000000 },
51 
  { 8.3928611000995700e-19, 0.0000000000000000, 40.000000000000000 },
52 
  { 5.3334561226187255e-21, 0.0000000000000000, 45.000000000000000 },
53 
  { 3.4101677497894956e-23, 0.0000000000000000, 50.000000000000000 },
54 
  { 2.1913102183534147e-25, 0.0000000000000000, 55.000000000000000 },
55 
  { 1.4138978405591074e-27, 0.0000000000000000, 60.000000000000000 },
56 
  { 9.1544673210030045e-30, 0.0000000000000000, 65.000000000000000 },
57 
  { 5.9446613372925013e-32, 0.0000000000000000, 70.000000000000000 },
58 
  { 3.8701170455869113e-34, 0.0000000000000000, 75.000000000000000 },
59 
  { 2.5251198425054723e-36, 0.0000000000000000, 80.000000000000000 },
60 
  { 1.6507623579783908e-38, 0.0000000000000000, 85.000000000000000 },
61 
  { 1.0810242556984256e-40, 0.0000000000000000, 90.000000000000000 },
62 
  { 7.0901249699001278e-43, 0.0000000000000000, 95.000000000000000 },
63 
  { 4.6566282291759032e-45, 0.0000000000000000, 100.00000000000000 },
64 
};
65 
 
66 
// Test function for nu=0.0000000000000000.
67 
template <typename Tp>
68 
void test001()
69 
{
70 
  const Tp eps = std::numeric_limits<Tp>::epsilon();
71 
  Tp max_abs_diff = -Tp(1);
72 
  Tp max_abs_frac = -Tp(1);
73 
  unsigned int num_datum = sizeof(data001)
74 
                         / sizeof(testcase_cyl_bessel_k<double>);
75 
  for (unsigned int i = 0; i < num_datum; ++i)
76 
    {
77 
      const Tp f = std::tr1::cyl_bessel_k(Tp(data001[i].nu), Tp(data001[i].x));
78 
      const Tp f0 = data001[i].f0;
79 
      const Tp diff = f - f0;
80 
      if (std::abs(diff) > max_abs_diff)
81 
        max_abs_diff = std::abs(diff);
82 
      if (std::abs(f0) > Tp(10) * eps
83 
       && std::abs(f) > Tp(10) * eps)
84 
        {
85 
          const Tp frac = diff / f0;
86 
          if (std::abs(frac) > max_abs_frac)
87 
            max_abs_frac = std::abs(frac);
88 
        }
89 
    }
90 
  VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
91 
}
92 
 
93 
// Test data for nu=0.33333333333333331.
94 
testcase_cyl_bessel_k<double> data002[] = {
95 
  { 0.0037288750960535887, 0.33333333333333331, 5.0000000000000000 },
96 
  { 1.7874608271055339e-05, 0.33333333333333331, 10.000000000000000 },
97 
  { 9.8548341568798317e-08, 0.33333333333333331, 15.000000000000000 },
98 
  { 5.7568278247790865e-10, 0.33333333333333331, 20.000000000000000 },
99 
  { 3.4717201424907059e-12, 0.33333333333333331, 25.000000000000000 },
100 
  { 2.1363664736611189e-14, 0.33333333333333331, 30.000000000000000 },
101 
  { 1.3331202314165813e-16, 0.33333333333333331, 35.000000000000000 },
102 
  { 8.4043837769480934e-19, 0.33333333333333331, 40.000000000000000 },
103 
  { 5.3399731261024948e-21, 0.33333333333333331, 45.000000000000000 },
104 
  { 3.4139217813583632e-23, 0.33333333333333331, 50.000000000000000 },
105 
  { 2.1935050179185627e-25, 0.33333333333333331, 55.000000000000000 },
106 
  { 1.4151968805623662e-27, 0.33333333333333331, 60.000000000000000 },
107 
  { 9.1622357217019043e-30, 0.33333333333333331, 65.000000000000000 },
108 
  { 5.9493479703461315e-32, 0.33333333333333331, 70.000000000000000 },
109 
  { 3.8729660011055947e-34, 0.33333333333333331, 75.000000000000000 },
110 
  { 2.5268631828013877e-36, 0.33333333333333331, 80.000000000000000 },
111 
  { 1.6518353676138867e-38, 0.33333333333333331, 85.000000000000000 },
112 
  { 1.0816880942511496e-40, 0.33333333333333331, 90.000000000000000 },
113 
  { 7.0942508599231512e-43, 0.33333333333333331, 95.000000000000000 },
114 
  { 4.6592031570213454e-45, 0.33333333333333331, 100.00000000000000 },
115 
};
116 
 
117 
// Test function for nu=0.33333333333333331.
118 
template <typename Tp>
119 
void test002()
120 
{
121 
  const Tp eps = std::numeric_limits<Tp>::epsilon();
122 
  Tp max_abs_diff = -Tp(1);
123 
  Tp max_abs_frac = -Tp(1);
124 
  unsigned int num_datum = sizeof(data002)
125 
                         / sizeof(testcase_cyl_bessel_k<double>);
126 
  for (unsigned int i = 0; i < num_datum; ++i)
127 
    {
128 
      const Tp f = std::tr1::cyl_bessel_k(Tp(data002[i].nu), Tp(data002[i].x));
129 
      const Tp f0 = data002[i].f0;
130 
      const Tp diff = f - f0;
131 
      if (std::abs(diff) > max_abs_diff)
132 
        max_abs_diff = std::abs(diff);
133 
      if (std::abs(f0) > Tp(10) * eps
134 
       && std::abs(f) > Tp(10) * eps)
135 
        {
136 
          const Tp frac = diff / f0;
137 
          if (std::abs(frac) > max_abs_frac)
138 
            max_abs_frac = std::abs(frac);
139 
        }
140 
    }
141 
  VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
142 
}
143 
 
144 
// Test data for nu=0.50000000000000000.
145 
testcase_cyl_bessel_k<double> data003[] = {
146 
  { 0.0037766133746428825, 0.50000000000000000, 5.0000000000000000 },
147 
  { 1.7993478093705181e-05, 0.50000000000000000, 10.000000000000000 },
148 
  { 9.8991312032877236e-08, 0.50000000000000000, 15.000000000000000 },
149 
  { 5.7763739747074450e-10, 0.50000000000000000, 20.000000000000000 },
150 
  { 3.4811912768406949e-12, 0.50000000000000000, 25.000000000000000 },
151 
  { 2.1412375659560111e-14, 0.50000000000000000, 30.000000000000000 },
152 
  { 1.3357311366035824e-16, 0.50000000000000000, 35.000000000000000 },
153 
  { 8.4188091949489049e-19, 0.50000000000000000, 40.000000000000000 },
154 
  { 5.3481305002517408e-21, 0.50000000000000000, 45.000000000000000 },
155 
  { 3.4186200954570754e-23, 0.50000000000000000, 50.000000000000000 },
156 
  { 2.1962515908772453e-25, 0.50000000000000000, 55.000000000000000 },
157 
  { 1.4168223500353693e-27, 0.50000000000000000, 60.000000000000000 },
158 
  { 9.1719554473256892e-30, 0.50000000000000000, 65.000000000000000 },
159 
  { 5.9552114337788932e-32, 0.50000000000000000, 70.000000000000000 },
160 
  { 3.8765301321409432e-34, 0.50000000000000000, 75.000000000000000 },
161 
  { 2.5290440439442910e-36, 0.50000000000000000, 80.000000000000000 },
162 
  { 1.6531776067605980e-38, 0.50000000000000000, 85.000000000000000 },
163 
  { 1.0825184636529955e-40, 0.50000000000000000, 90.000000000000000 },
164 
  { 7.0994115873258822e-43, 0.50000000000000000, 95.000000000000000 },
165 
  { 4.6624238126346715e-45, 0.50000000000000000, 100.00000000000000 },
166 
};
167 
 
168 
// Test function for nu=0.50000000000000000.
169 
template <typename Tp>
170 
void test003()
171 
{
172 
  const Tp eps = std::numeric_limits<Tp>::epsilon();
173 
  Tp max_abs_diff = -Tp(1);
174 
  Tp max_abs_frac = -Tp(1);
175 
  unsigned int num_datum = sizeof(data003)
176 
                         / sizeof(testcase_cyl_bessel_k<double>);
177 
  for (unsigned int i = 0; i < num_datum; ++i)
178 
    {
179 
      const Tp f = std::tr1::cyl_bessel_k(Tp(data003[i].nu), Tp(data003[i].x));
180 
      const Tp f0 = data003[i].f0;
181 
      const Tp diff = f - f0;
182 
      if (std::abs(diff) > max_abs_diff)
183 
        max_abs_diff = std::abs(diff);
184 
      if (std::abs(f0) > Tp(10) * eps
185 
       && std::abs(f) > Tp(10) * eps)
186 
        {
187 
          const Tp frac = diff / f0;
188 
          if (std::abs(frac) > max_abs_frac)
189 
            max_abs_frac = std::abs(frac);
190 
        }
191 
    }
192 
  VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
193 
}
194 
 
195 
// Test data for nu=0.66666666666666663.
196 
testcase_cyl_bessel_k<double> data004[] = {
197 
  { 0.0038444246344968226, 0.66666666666666663, 5.0000000000000000 },
198 
  { 1.8161187569530204e-05, 0.66666666666666663, 10.000000000000000 },
199 
  { 9.9614751542305571e-08, 0.66666666666666663, 15.000000000000000 },
200 
  { 5.8038484271925811e-10, 0.66666666666666663, 20.000000000000000 },
201 
  { 3.4944937498488603e-12, 0.66666666666666663, 25.000000000000000 },
202 
  { 2.1480755645577720e-14, 0.66666666666666663, 30.000000000000000 },
203 
  { 1.3393949190152161e-16, 0.66666666666666663, 35.000000000000000 },
204 
  { 8.4390460553642992e-19, 0.66666666666666663, 40.000000000000000 },
205 
  { 5.3595716143622089e-21, 0.66666666666666663, 45.000000000000000 },
206 
  { 3.4252085301433749e-23, 0.66666666666666663, 50.000000000000000 },
207 
  { 2.2001025377982308e-25, 0.66666666666666663, 55.000000000000000 },
208 
  { 1.4191011274172078e-27, 0.66666666666666663, 60.000000000000000 },
209 
  { 9.1855803020269763e-30, 0.66666666666666663, 65.000000000000000 },
210 
  { 5.9634299472578764e-32, 0.66666666666666663, 70.000000000000000 },
211 
  { 3.8815254026478500e-34, 0.66666666666666663, 75.000000000000000 },
212 
  { 2.5321003991943851e-36, 0.66666666666666663, 80.000000000000000 },
213 
  { 1.6550585670593067e-38, 0.66666666666666663, 85.000000000000000 },
214 
  { 1.0836820479428609e-40, 0.66666666666666663, 90.000000000000000 },
215 
  { 7.1066428916285356e-43, 0.66666666666666663, 95.000000000000000 },
216 
  { 4.6669364587280465e-45, 0.66666666666666663, 100.00000000000000 },
217 
};
218 
 
219 
// Test function for nu=0.66666666666666663.
220 
template <typename Tp>
221 
void test004()
222 
{
223 
  const Tp eps = std::numeric_limits<Tp>::epsilon();
224 
  Tp max_abs_diff = -Tp(1);
225 
  Tp max_abs_frac = -Tp(1);
226 
  unsigned int num_datum = sizeof(data004)
227 
                         / sizeof(testcase_cyl_bessel_k<double>);
228 
  for (unsigned int i = 0; i < num_datum; ++i)
229 
    {
230 
      const Tp f = std::tr1::cyl_bessel_k(Tp(data004[i].nu), Tp(data004[i].x));
231 
      const Tp f0 = data004[i].f0;
232 
      const Tp diff = f - f0;
233 
      if (std::abs(diff) > max_abs_diff)
234 
        max_abs_diff = std::abs(diff);
235 
      if (std::abs(f0) > Tp(10) * eps
236 
       && std::abs(f) > Tp(10) * eps)
237 
        {
238 
          const Tp frac = diff / f0;
239 
          if (std::abs(frac) > max_abs_frac)
240 
            max_abs_frac = std::abs(frac);
241 
        }
242 
    }
243 
  VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
244 
}
245 
 
246 
// Test data for nu=1.0000000000000000.
247 
testcase_cyl_bessel_k<double> data005[] = {
248 
  { 0.0040446134454521655, 1.0000000000000000, 5.0000000000000000 },
249 
  { 1.8648773453825582e-05, 1.0000000000000000, 10.000000000000000 },
250 
  { 1.0141729369762091e-07, 1.0000000000000000, 15.000000000000000 },
251 
  { 5.8830579695570384e-10, 1.0000000000000000, 20.000000000000000 },
252 
  { 3.5327780731999345e-12, 1.0000000000000000, 25.000000000000000 },
253 
  { 2.1677320018915498e-14, 1.0000000000000000, 30.000000000000000 },
254 
  { 1.3499178340011053e-16, 1.0000000000000000, 35.000000000000000 },
255 
  { 8.4971319548610435e-19, 1.0000000000000000, 40.000000000000000 },
256 
  { 5.3923945937225050e-21, 1.0000000000000000, 45.000000000000000 },
257 
  { 3.4441022267175555e-23, 1.0000000000000000, 50.000000000000000 },
258 
  { 2.2111422716117463e-25, 1.0000000000000000, 55.000000000000000 },
259 
  { 1.4256320265171041e-27, 1.0000000000000000, 60.000000000000000 },
260 
  { 9.2246195278906156e-30, 1.0000000000000000, 65.000000000000000 },
261 
  { 5.9869736739138550e-32, 1.0000000000000000, 70.000000000000000 },
262 
  { 3.8958329467421912e-34, 1.0000000000000000, 75.000000000000000 },
263 
  { 2.5408531275211708e-36, 1.0000000000000000, 80.000000000000000 },
264 
  { 1.6604444948567571e-38, 1.0000000000000000, 85.000000000000000 },
265 
  { 1.0870134457498335e-40, 1.0000000000000000, 90.000000000000000 },
266 
  { 7.1273442329907240e-43, 1.0000000000000000, 95.000000000000000 },
267 
  { 4.6798537356369101e-45, 1.0000000000000000, 100.00000000000000 },
268 
};
269 
 
270 
// Test function for nu=1.0000000000000000.
271 
template <typename Tp>
272 
void test005()
273 
{
274 
  const Tp eps = std::numeric_limits<Tp>::epsilon();
275 
  Tp max_abs_diff = -Tp(1);
276 
  Tp max_abs_frac = -Tp(1);
277 
  unsigned int num_datum = sizeof(data005)
278 
                         / sizeof(testcase_cyl_bessel_k<double>);
279 
  for (unsigned int i = 0; i < num_datum; ++i)
280 
    {
281 
      const Tp f = std::tr1::cyl_bessel_k(Tp(data005[i].nu), Tp(data005[i].x));
282 
      const Tp f0 = data005[i].f0;
283 
      const Tp diff = f - f0;
284 
      if (std::abs(diff) > max_abs_diff)
285 
        max_abs_diff = std::abs(diff);
286 
      if (std::abs(f0) > Tp(10) * eps
287 
       && std::abs(f) > Tp(10) * eps)
288 
        {
289 
          const Tp frac = diff / f0;
290 
          if (std::abs(frac) > max_abs_frac)
291 
            max_abs_frac = std::abs(frac);
292 
        }
293 
    }
294 
  VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
295 
}
296 
 
297 
// Test data for nu=2.0000000000000000.
298 
testcase_cyl_bessel_k<double> data006[] = {
299 
  { 0.0053089437122234608, 2.0000000000000000, 5.0000000000000000 },
300 
  { 2.1509817006932767e-05, 2.0000000000000000, 10.000000000000000 },
301 
  { 1.1171767065031378e-07, 2.0000000000000000, 15.000000000000000 },
302 
  { 6.3295436122922281e-10, 2.0000000000000000, 20.000000000000000 },
303 
  { 3.7467838080691102e-12, 2.0000000000000000, 25.000000000000000 },
304 
  { 2.2769929632558265e-14, 2.0000000000000000, 30.000000000000000 },
305 
  { 1.4081733110858665e-16, 2.0000000000000000, 35.000000000000000 },
306 
  { 8.8177176978426223e-19, 2.0000000000000000, 40.000000000000000 },
307 
  { 5.5731181045619477e-21, 2.0000000000000000, 45.000000000000000 },
308 
  { 3.5479318388581979e-23, 2.0000000000000000, 50.000000000000000 },
309 
  { 2.2717153918665688e-25, 2.0000000000000000, 55.000000000000000 },
310 
  { 1.4614189081096777e-27, 2.0000000000000000, 60.000000000000000 },
311 
  { 9.4383017680150234e-30, 2.0000000000000000, 65.000000000000000 },
312 
  { 6.1157177279757537e-32, 2.0000000000000000, 70.000000000000000 },
313 
  { 3.9740059241667034e-34, 2.0000000000000000, 75.000000000000000 },
314 
  { 2.5886411706935015e-36, 2.0000000000000000, 80.000000000000000 },
315 
  { 1.6898316402103145e-38, 2.0000000000000000, 85.000000000000000 },
316 
  { 1.1051801100484218e-40, 2.0000000000000000, 90.000000000000000 },
317 
  { 7.2401743221736176e-43, 2.0000000000000000, 95.000000000000000 },
318 
  { 4.7502253038886413e-45, 2.0000000000000000, 100.00000000000000 },
319 
};
320 
 
321 
// Test function for nu=2.0000000000000000.
322 
template <typename Tp>
323 
void test006()
324 
{
325 
  const Tp eps = std::numeric_limits<Tp>::epsilon();
326 
  Tp max_abs_diff = -Tp(1);
327 
  Tp max_abs_frac = -Tp(1);
328 
  unsigned int num_datum = sizeof(data006)
329 
                         / sizeof(testcase_cyl_bessel_k<double>);
330 
  for (unsigned int i = 0; i < num_datum; ++i)
331 
    {
332 
      const Tp f = std::tr1::cyl_bessel_k(Tp(data006[i].nu), Tp(data006[i].x));
333 
      const Tp f0 = data006[i].f0;
334 
      const Tp diff = f - f0;
335 
      if (std::abs(diff) > max_abs_diff)
336 
        max_abs_diff = std::abs(diff);
337 
      if (std::abs(f0) > Tp(10) * eps
338 
       && std::abs(f) > Tp(10) * eps)
339 
        {
340 
          const Tp frac = diff / f0;
341 
          if (std::abs(frac) > max_abs_frac)
342 
            max_abs_frac = std::abs(frac);
343 
        }
344 
    }
345 
  VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
346 
}
347 
 
348 
// Test data for nu=5.0000000000000000.
349 
testcase_cyl_bessel_k<double> data007[] = {
350 
  { 0.032706273712031865, 5.0000000000000000, 5.0000000000000000 },
351 
  { 5.7541849985312275e-05, 5.0000000000000000, 10.000000000000000 },
352 
  { 2.1878261369258224e-07, 5.0000000000000000, 15.000000000000000 },
353 
  { 1.0538660139974233e-09, 5.0000000000000000, 20.000000000000000 },
354 
  { 5.6485921365284157e-12, 5.0000000000000000, 25.000000000000000 },
355 
  { 3.2103335105890266e-14, 5.0000000000000000, 30.000000000000000 },
356 
  { 1.8919208406439644e-16, 5.0000000000000000, 35.000000000000000 },
357 
  { 1.1423814375953188e-18, 5.0000000000000000, 40.000000000000000 },
358 
  { 7.0181216822204116e-21, 5.0000000000000000, 45.000000000000000 },
359 
  { 4.3671822541009859e-23, 5.0000000000000000, 50.000000000000000 },
360 
  { 2.7444967640357869e-25, 5.0000000000000000, 55.000000000000000 },
361 
  { 1.7382232741886986e-27, 5.0000000000000000, 60.000000000000000 },
362 
  { 1.1078474298959669e-29, 5.0000000000000000, 65.000000000000000 },
363 
  { 7.0974537081794416e-32, 5.0000000000000000, 70.000000000000000 },
364 
  { 4.5667269500061064e-34, 5.0000000000000000, 75.000000000000000 },
365 
  { 2.9491764420206150e-36, 5.0000000000000000, 80.000000000000000 },
366 
  { 1.9105685973117463e-38, 5.0000000000000000, 85.000000000000000 },
367 
  { 1.2411034311592645e-40, 5.0000000000000000, 90.000000000000000 },
368 
  { 8.0814211331379146e-43, 5.0000000000000000, 95.000000000000000 },
369 
  { 5.2732561132929509e-45, 5.0000000000000000, 100.00000000000000 },
370 
};
371 
 
372 
// Test function for nu=5.0000000000000000.
373 
template <typename Tp>
374 
void test007()
375 
{
376 
  const Tp eps = std::numeric_limits<Tp>::epsilon();
377 
  Tp max_abs_diff = -Tp(1);
378 
  Tp max_abs_frac = -Tp(1);
379 
  unsigned int num_datum = sizeof(data007)
380 
                         / sizeof(testcase_cyl_bessel_k<double>);
381 
  for (unsigned int i = 0; i < num_datum; ++i)
382 
    {
383 
      const Tp f = std::tr1::cyl_bessel_k(Tp(data007[i].nu), Tp(data007[i].x));
384 
      const Tp f0 = data007[i].f0;
385 
      const Tp diff = f - f0;
386 
      if (std::abs(diff) > max_abs_diff)
387 
        max_abs_diff = std::abs(diff);
388 
      if (std::abs(f0) > Tp(10) * eps
389 
       && std::abs(f) > Tp(10) * eps)
390 
        {
391 
          const Tp frac = diff / f0;
392 
          if (std::abs(frac) > max_abs_frac)
393 
            max_abs_frac = std::abs(frac);
394 
        }
395 
    }
396 
  VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
397 
}
398 
 
399 
// Test data for nu=10.000000000000000.
400 
testcase_cyl_bessel_k<double> data008[] = {
401 
  { 9.7585628291778121, 10.000000000000000, 5.0000000000000000 },
402 
  { 0.0016142553003906700, 10.000000000000000, 10.000000000000000 },
403 
  { 2.2605303776606440e-06, 10.000000000000000, 15.000000000000000 },
404 
  { 6.3162145283215787e-09, 10.000000000000000, 20.000000000000000 },
405 
  { 2.4076769602801230e-11, 10.000000000000000, 25.000000000000000 },
406 
  { 1.0842816942222975e-13, 10.000000000000000, 30.000000000000000 },
407 
  { 5.3976770429777191e-16, 10.000000000000000, 35.000000000000000 },
408 
  { 2.8680293113671932e-18, 10.000000000000000, 40.000000000000000 },
409 
  { 1.5939871900169603e-20, 10.000000000000000, 45.000000000000000 },
410 
  { 9.1509882099879962e-23, 10.000000000000000, 50.000000000000000 },
411 
  { 5.3823846249592858e-25, 10.000000000000000, 55.000000000000000 },
412 
  { 3.2253408700563144e-27, 10.000000000000000, 60.000000000000000 },
413 
  { 1.9613367530075138e-29, 10.000000000000000, 65.000000000000000 },
414 
  { 1.2068471495933484e-31, 10.000000000000000, 70.000000000000000 },
415 
  { 7.4979152649449644e-34, 10.000000000000000, 75.000000000000000 },
416 
  { 4.6957285830490538e-36, 10.000000000000000, 80.000000000000000 },
417 
  { 2.9606323347034084e-38, 10.000000000000000, 85.000000000000000 },
418 
  { 1.8773542561131613e-40, 10.000000000000000, 90.000000000000000 },
419 
  { 1.1962899527846350e-42, 10.000000000000000, 95.000000000000000 },
420 
  { 7.6554279773881018e-45, 10.000000000000000, 100.00000000000000 },
421 
};
422 
 
423 
// Test function for nu=10.000000000000000.
424 
template <typename Tp>
425 
void test008()
426 
{
427 
  const Tp eps = std::numeric_limits<Tp>::epsilon();
428 
  Tp max_abs_diff = -Tp(1);
429 
  Tp max_abs_frac = -Tp(1);
430 
  unsigned int num_datum = sizeof(data008)
431 
                         / sizeof(testcase_cyl_bessel_k<double>);
432 
  for (unsigned int i = 0; i < num_datum; ++i)
433 
    {
434 
      const Tp f = std::tr1::cyl_bessel_k(Tp(data008[i].nu), Tp(data008[i].x));
435 
      const Tp f0 = data008[i].f0;
436 
      const Tp diff = f - f0;
437 
      if (std::abs(diff) > max_abs_diff)
438 
        max_abs_diff = std::abs(diff);
439 
      if (std::abs(f0) > Tp(10) * eps
440 
       && std::abs(f) > Tp(10) * eps)
441 
        {
442 
          const Tp frac = diff / f0;
443 
          if (std::abs(frac) > max_abs_frac)
444 
            max_abs_frac = std::abs(frac);
445 
        }
446 
    }
447 
  VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
448 
}
449 
 
450 
// Test data for nu=20.000000000000000.
451 
testcase_cyl_bessel_k<double> data009[] = {
452 
  { 482700052.06214869, 20.000000000000000, 5.0000000000000000 },
453 
  { 178.74427820770549, 20.000000000000000, 10.000000000000000 },
454 
  { 0.012141257729731146, 20.000000000000000, 15.000000000000000 },
455 
  { 5.5431116361258155e-06, 20.000000000000000, 20.000000000000000 },
456 
  { 6.3744029330352105e-09, 20.000000000000000, 25.000000000000000 },
457 
  { 1.2304516475442478e-11, 20.000000000000000, 30.000000000000000 },
458 
  { 3.2673136479809012e-14, 20.000000000000000, 35.000000000000000 },
459 
  { 1.0703023799997383e-16, 20.000000000000000, 40.000000000000000 },
460 
  { 4.0549953175660486e-19, 20.000000000000000, 45.000000000000000 },
461 
  { 1.7061483797220352e-21, 20.000000000000000, 50.000000000000000 },
462 
  { 7.7617008115659413e-24, 20.000000000000000, 55.000000000000000 },
463 
  { 3.7482954006874725e-26, 20.000000000000000, 60.000000000000000 },
464 
  { 1.8966880763956578e-28, 20.000000000000000, 65.000000000000000 },
465 
  { 9.9615763479998882e-31, 20.000000000000000, 70.000000000000000 },
466 
  { 5.3921623063091066e-33, 20.000000000000000, 75.000000000000000 },
467 
  { 2.9920407657642272e-35, 20.000000000000000, 80.000000000000000 },
468 
  { 1.6948662723618263e-37, 20.000000000000000, 85.000000000000000 },
469 
  { 9.7689149642963025e-40, 20.000000000000000, 90.000000000000000 },
470 
  { 5.7143603019220823e-42, 20.000000000000000, 95.000000000000000 },
471 
  { 3.3852054148901700e-44, 20.000000000000000, 100.00000000000000 },
472 
};
473 
 
474 
// Test function for nu=20.000000000000000.
475 
template <typename Tp>
476 
void test009()
477 
{
478 
  const Tp eps = std::numeric_limits<Tp>::epsilon();
479 
  Tp max_abs_diff = -Tp(1);
480 
  Tp max_abs_frac = -Tp(1);
481 
  unsigned int num_datum = sizeof(data009)
482 
                         / sizeof(testcase_cyl_bessel_k<double>);
483 
  for (unsigned int i = 0; i < num_datum; ++i)
484 
    {
485 
      const Tp f = std::tr1::cyl_bessel_k(Tp(data009[i].nu), Tp(data009[i].x));
486 
      const Tp f0 = data009[i].f0;
487 
      const Tp diff = f - f0;
488 
      if (std::abs(diff) > max_abs_diff)
489 
        max_abs_diff = std::abs(diff);
490 
      if (std::abs(f0) > Tp(10) * eps
491 
       && std::abs(f) > Tp(10) * eps)
492 
        {
493 
          const Tp frac = diff / f0;
494 
          if (std::abs(frac) > max_abs_frac)
495 
            max_abs_frac = std::abs(frac);
496 
        }
497 
    }
498 
  VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
499 
}
500 
 
501 
// Test data for nu=50.000000000000000.
502 
testcase_cyl_bessel_k<double> data010[] = {
503 
  { 3.3943222434301628e+42, 50.000000000000000, 5.0000000000000000 },
504 
  { 2.0613737753892579e+27, 50.000000000000000, 10.000000000000000 },
505 
  { 1.7267736974519191e+18, 50.000000000000000, 15.000000000000000 },
506 
  { 411711209122.01794, 50.000000000000000, 20.000000000000000 },
507 
  { 1972478.7419813862, 50.000000000000000, 25.000000000000000 },
508 
  { 58.770686258007267, 50.000000000000000, 30.000000000000000 },
509 
  { 0.0058659391182535195, 50.000000000000000, 35.000000000000000 },
510 
  { 1.3634854128794103e-06, 50.000000000000000, 40.000000000000000 },
511 
  { 5.8652396362160840e-10, 50.000000000000000, 45.000000000000000 },
512 
  { 4.0060134766400903e-13, 50.000000000000000, 50.000000000000000 },
513 
  { 3.9062324485711016e-16, 50.000000000000000, 55.000000000000000 },
514 
  { 5.0389298085176520e-19, 50.000000000000000, 60.000000000000000 },
515 
  { 8.1305344250110396e-22, 50.000000000000000, 65.000000000000000 },
516 
  { 1.5732816234949002e-24, 50.000000000000000, 70.000000000000000 },
517 
  { 3.5349854993874397e-27, 50.000000000000000, 75.000000000000000 },
518 
  { 8.9940101003189485e-30, 50.000000000000000, 80.000000000000000 },
519 
  { 2.5403205503080723e-32, 50.000000000000000, 85.000000000000000 },
520 
  { 7.8397596486715711e-35, 50.000000000000000, 90.000000000000000 },
521 
  { 2.6098900651329550e-37, 50.000000000000000, 95.000000000000000 },
522 
  { 9.2745226536133274e-40, 50.000000000000000, 100.00000000000000 },
523 
};
524 
 
525 
// Test function for nu=50.000000000000000.
526 
template <typename Tp>
527 
void test010()
528 
{
529 
  const Tp eps = std::numeric_limits<Tp>::epsilon();
530 
  Tp max_abs_diff = -Tp(1);
531 
  Tp max_abs_frac = -Tp(1);
532 
  unsigned int num_datum = sizeof(data010)
533 
                         / sizeof(testcase_cyl_bessel_k<double>);
534 
  for (unsigned int i = 0; i < num_datum; ++i)
535 
    {
536 
      const Tp f = std::tr1::cyl_bessel_k(Tp(data010[i].nu), Tp(data010[i].x));
537 
      const Tp f0 = data010[i].f0;
538 
      const Tp diff = f - f0;
539 
      if (std::abs(diff) > max_abs_diff)
540 
        max_abs_diff = std::abs(diff);
541 
      if (std::abs(f0) > Tp(10) * eps
542 
       && std::abs(f) > Tp(10) * eps)
543 
        {
544 
          const Tp frac = diff / f0;
545 
          if (std::abs(frac) > max_abs_frac)
546 
            max_abs_frac = std::abs(frac);
547 
        }
548 
    }
549 
  VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
550 
}
551 
 
552 
// Test data for nu=100.00000000000000.
553 
testcase_cyl_bessel_k<double> data011[] = {
554 
  { 7.0398601930616797e+115, 100.00000000000000, 5.0000000000000000 },
555 
  { 4.5966740842695286e+85, 100.00000000000000, 10.000000000000000 },
556 
  { 8.2565552242653898e+67, 100.00000000000000, 15.000000000000000 },
557 
  { 1.7081356456876038e+55, 100.00000000000000, 20.000000000000000 },
558 
  { 1.9858028128780595e+45, 100.00000000000000, 25.000000000000000 },
559 
  { 1.2131584253026677e+37, 100.00000000000000, 30.000000000000000 },
560 
  { 1.1016916354696684e+30, 100.00000000000000, 35.000000000000000 },
561 
  { 7.0074023297775712e+23, 100.00000000000000, 40.000000000000000 },
562 
  { 1.9236643958470909e+18, 100.00000000000000, 45.000000000000000 },
563 
  { 16394035276269.254, 100.00000000000000, 50.000000000000000 },
564 
  { 343254952.89495456, 100.00000000000000, 55.000000000000000 },
565 
  { 14870.012754946305, 100.00000000000000, 60.000000000000000 },
566 
  { 1.1708099078572209, 100.00000000000000, 65.000000000000000 },
567 
  { 0.00015161193930722305, 100.00000000000000, 70.000000000000000 },
568 
  { 2.9850234381623436e-08, 100.00000000000000, 75.000000000000000 },
569 
  { 8.3928710724649065e-12, 100.00000000000000, 80.000000000000000 },
570 
  { 3.2033435630927728e-15, 100.00000000000000, 85.000000000000000 },
571 
  { 1.5922281431788077e-18, 100.00000000000000, 90.000000000000000 },
572 
  { 9.9589454577674300e-22, 100.00000000000000, 95.000000000000000 },
573 
  { 7.6171296304940858e-25, 100.00000000000000, 100.00000000000000 },
574 
};
575 
 
576 
// Test function for nu=100.00000000000000.
577 
template <typename Tp>
578 
void test011()
579 
{
580 
  const Tp eps = std::numeric_limits<Tp>::epsilon();
581 
  Tp max_abs_diff = -Tp(1);
582 
  Tp max_abs_frac = -Tp(1);
583 
  unsigned int num_datum = sizeof(data011)
584 
                         / sizeof(testcase_cyl_bessel_k<double>);
585 
  for (unsigned int i = 0; i < num_datum; ++i)
586 
    {
587 
      const Tp f = std::tr1::cyl_bessel_k(Tp(data011[i].nu), Tp(data011[i].x));
588 
      const Tp f0 = data011[i].f0;
589 
      const Tp diff = f - f0;
590 
      if (std::abs(diff) > max_abs_diff)
591 
        max_abs_diff = std::abs(diff);
592 
      if (std::abs(f0) > Tp(10) * eps
593 
       && std::abs(f) > Tp(10) * eps)
594 
        {
595 
          const Tp frac = diff / f0;
596 
          if (std::abs(frac) > max_abs_frac)
597 
            max_abs_frac = std::abs(frac);
598 
        }
599 
    }
600 
  VERIFY(max_abs_frac < Tp(5.0000000000000039e-13));
601 
}
602 
 
603 
int main(int, char**)
604 
{
605 
  test001<double>();
606 
  test002<double>();
607 
  test003<double>();
608 
  test004<double>();
609 
  test005<double>();
610 
  test006<double>();
611 
  test007<double>();
612 
  test008<double>();
613 
  test009<double>();
614 
  test010<double>();
615 
  test011<double>();
616 
  return 0;
617 
}

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