| // { dg-do run { target c++11 } } |
| // { dg-options "-D__STDCPP_WANT_MATH_SPEC_FUNCS__" } |
| // |
| // Copyright (C) 2016-2021 Free Software Foundation, Inc. |
| // |
| // This file is part of the GNU ISO C++ Library. This library is free |
| // software; you can redistribute it and/or modify it under the |
| // terms of the GNU General Public License as published by the |
| // Free Software Foundation; either version 3, or (at your option) |
| // any later version. |
| // |
| // This library is distributed in the hope that it will be useful, |
| // but WITHOUT ANY WARRANTY; without even the implied warranty of |
| // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
| // GNU General Public License for more details. |
| // |
| // You should have received a copy of the GNU General Public License along |
| // with this library; see the file COPYING3. If not see |
| // <http://www.gnu.org/licenses/>. |
| |
| // laguerre |
| // Compare against values generated by the GNU Scientific Library. |
| // The GSL can be found on the web: http://www.gnu.org/software/gsl/ |
| #include <limits> |
| #include <cmath> |
| #if defined(__TEST_DEBUG) |
| # include <iostream> |
| # define VERIFY(A) \ |
| if (!(A)) \ |
| { \ |
| std::cout << "line " << __LINE__ \ |
| << " max_abs_frac = " << max_abs_frac \ |
| << std::endl; \ |
| } |
| #else |
| # include <testsuite_hooks.h> |
| #endif |
| #include <specfun_testcase.h> |
| |
| // Test data for n=0. |
| // max(|f - f_GSL|): 0.0000000000000000 at index 0 |
| // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000 |
| // mean(f - f_GSL): 0.0000000000000000 |
| // variance(f - f_GSL): 0.0000000000000000 |
| // stddev(f - f_GSL): 0.0000000000000000 |
| const testcase_laguerre<double> |
| data001[21] = |
| { |
| { 1.0000000000000000, 0, 0.0000000000000000, 0.0 }, |
| { 1.0000000000000000, 0, 5.0000000000000000, 0.0 }, |
| { 1.0000000000000000, 0, 10.000000000000000, 0.0 }, |
| { 1.0000000000000000, 0, 15.000000000000000, 0.0 }, |
| { 1.0000000000000000, 0, 20.000000000000000, 0.0 }, |
| { 1.0000000000000000, 0, 25.000000000000000, 0.0 }, |
| { 1.0000000000000000, 0, 30.000000000000000, 0.0 }, |
| { 1.0000000000000000, 0, 35.000000000000000, 0.0 }, |
| { 1.0000000000000000, 0, 40.000000000000000, 0.0 }, |
| { 1.0000000000000000, 0, 45.000000000000000, 0.0 }, |
| { 1.0000000000000000, 0, 50.000000000000000, 0.0 }, |
| { 1.0000000000000000, 0, 55.000000000000000, 0.0 }, |
| { 1.0000000000000000, 0, 60.000000000000000, 0.0 }, |
| { 1.0000000000000000, 0, 65.000000000000000, 0.0 }, |
| { 1.0000000000000000, 0, 70.000000000000000, 0.0 }, |
| { 1.0000000000000000, 0, 75.000000000000000, 0.0 }, |
| { 1.0000000000000000, 0, 80.000000000000000, 0.0 }, |
| { 1.0000000000000000, 0, 85.000000000000000, 0.0 }, |
| { 1.0000000000000000, 0, 90.000000000000000, 0.0 }, |
| { 1.0000000000000000, 0, 95.000000000000000, 0.0 }, |
| { 1.0000000000000000, 0, 100.00000000000000, 0.0 }, |
| }; |
| const double toler001 = 2.5000000000000020e-13; |
| |
| // Test data for n=1. |
| // max(|f - f_GSL|): 0.0000000000000000 at index 0 |
| // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000 |
| // mean(f - f_GSL): 0.0000000000000000 |
| // variance(f - f_GSL): 0.0000000000000000 |
| // stddev(f - f_GSL): 0.0000000000000000 |
| const testcase_laguerre<double> |
| data002[21] = |
| { |
| { 1.0000000000000000, 1, 0.0000000000000000, 0.0 }, |
| { -4.0000000000000000, 1, 5.0000000000000000, 0.0 }, |
| { -9.0000000000000000, 1, 10.000000000000000, 0.0 }, |
| { -14.000000000000000, 1, 15.000000000000000, 0.0 }, |
| { -19.000000000000000, 1, 20.000000000000000, 0.0 }, |
| { -24.000000000000000, 1, 25.000000000000000, 0.0 }, |
| { -29.000000000000000, 1, 30.000000000000000, 0.0 }, |
| { -34.000000000000000, 1, 35.000000000000000, 0.0 }, |
| { -39.000000000000000, 1, 40.000000000000000, 0.0 }, |
| { -44.000000000000000, 1, 45.000000000000000, 0.0 }, |
| { -49.000000000000000, 1, 50.000000000000000, 0.0 }, |
| { -54.000000000000000, 1, 55.000000000000000, 0.0 }, |
| { -59.000000000000000, 1, 60.000000000000000, 0.0 }, |
| { -64.000000000000000, 1, 65.000000000000000, 0.0 }, |
| { -69.000000000000000, 1, 70.000000000000000, 0.0 }, |
| { -74.000000000000000, 1, 75.000000000000000, 0.0 }, |
| { -79.000000000000000, 1, 80.000000000000000, 0.0 }, |
| { -84.000000000000000, 1, 85.000000000000000, 0.0 }, |
| { -89.000000000000000, 1, 90.000000000000000, 0.0 }, |
| { -94.000000000000000, 1, 95.000000000000000, 0.0 }, |
| { -99.000000000000000, 1, 100.00000000000000, 0.0 }, |
| }; |
| const double toler002 = 2.5000000000000020e-13; |
| |
| // Test data for n=2. |
| // max(|f - f_GSL|): 0.0000000000000000 at index 0 |
| // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000 |
| // mean(f - f_GSL): 0.0000000000000000 |
| // variance(f - f_GSL): 0.0000000000000000 |
| // stddev(f - f_GSL): 0.0000000000000000 |
| const testcase_laguerre<double> |
| data003[21] = |
| { |
| { 1.0000000000000000, 2, 0.0000000000000000, 0.0 }, |
| { 3.5000000000000000, 2, 5.0000000000000000, 0.0 }, |
| { 31.000000000000000, 2, 10.000000000000000, 0.0 }, |
| { 83.500000000000000, 2, 15.000000000000000, 0.0 }, |
| { 161.00000000000000, 2, 20.000000000000000, 0.0 }, |
| { 263.50000000000000, 2, 25.000000000000000, 0.0 }, |
| { 391.00000000000000, 2, 30.000000000000000, 0.0 }, |
| { 543.50000000000000, 2, 35.000000000000000, 0.0 }, |
| { 721.00000000000000, 2, 40.000000000000000, 0.0 }, |
| { 923.50000000000000, 2, 45.000000000000000, 0.0 }, |
| { 1151.0000000000000, 2, 50.000000000000000, 0.0 }, |
| { 1403.5000000000000, 2, 55.000000000000000, 0.0 }, |
| { 1681.0000000000000, 2, 60.000000000000000, 0.0 }, |
| { 1983.5000000000000, 2, 65.000000000000000, 0.0 }, |
| { 2311.0000000000000, 2, 70.000000000000000, 0.0 }, |
| { 2663.5000000000000, 2, 75.000000000000000, 0.0 }, |
| { 3041.0000000000000, 2, 80.000000000000000, 0.0 }, |
| { 3443.5000000000000, 2, 85.000000000000000, 0.0 }, |
| { 3871.0000000000000, 2, 90.000000000000000, 0.0 }, |
| { 4323.5000000000000, 2, 95.000000000000000, 0.0 }, |
| { 4801.0000000000000, 2, 100.00000000000000, 0.0 }, |
| }; |
| const double toler003 = 2.5000000000000020e-13; |
| |
| // Test data for n=5. |
| // max(|f - f_GSL|): 7.4505805969238281e-09 at index 20 |
| // max(|f - f_GSL| / |f_GSL|): 1.9501553136894460e-16 |
| // mean(f - f_GSL): -9.1645146498075565e-11 |
| // variance(f - f_GSL): 2.8430813755854757e-18 |
| // stddev(f - f_GSL): 1.6861439367934980e-09 |
| const testcase_laguerre<double> |
| data004[21] = |
| { |
| { 1.0000000000000000, 5, 0.0000000000000000, 0.0 }, |
| { -3.1666666666666665, 5, 5.0000000000000000, 0.0 }, |
| { 34.333333333333329, 5, 10.000000000000000, 0.0 }, |
| { -355.25000000000000, 5, 15.000000000000000, 0.0 }, |
| { -4765.6666666666670, 5, 20.000000000000000, 0.0 }, |
| { -23040.666666666664, 5, 25.000000000000000, 0.0 }, |
| { -74399.000000000000, 5, 30.000000000000000, 0.0 }, |
| { -190559.41666666663, 5, 35.000000000000000, 0.0 }, |
| { -418865.66666666663, 5, 40.000000000000000, 0.0 }, |
| { -825411.50000000000, 5, 45.000000000000000, 0.0 }, |
| { -1498165.6666666665, 5, 50.000000000000000, 0.0 }, |
| { -2550096.9166666670, 5, 55.000000000000000, 0.0 }, |
| { -4122299.0000000000, 5, 60.000000000000000, 0.0 }, |
| { -6387115.6666666670, 5, 65.000000000000000, 0.0 }, |
| { -9551265.6666666679, 5, 70.000000000000000, 0.0 }, |
| { -13858967.750000000, 5, 75.000000000000000, 0.0 }, |
| { -19595065.666666664, 5, 80.000000000000000, 0.0 }, |
| { -27088153.166666668, 5, 85.000000000000000, 0.0 }, |
| { -36713699.000000000, 5, 90.000000000000000, 0.0 }, |
| { -48897171.916666657, 5, 95.000000000000000, 0.0 }, |
| { -64117165.666666664, 5, 100.00000000000000, 0.0 }, |
| }; |
| const double toler004 = 2.5000000000000020e-13; |
| |
| // Test data for n=10. |
| // max(|f - f_GSL|): 0.0029296875000000000 at index 19 |
| // max(|f - f_GSL| / |f_GSL|): 6.1315986390500118e-15 |
| // mean(f - f_GSL): -0.00011841882388131082 |
| // variance(f - f_GSL): 7.3638903636883773e-10 |
| // stddev(f - f_GSL): 2.7136489020668051e-05 |
| const testcase_laguerre<double> |
| data005[21] = |
| { |
| { 1.0000000000000000, 10, 0.0000000000000000, 0.0 }, |
| { 1.7562761794532631, 10, 5.0000000000000000, 0.0 }, |
| { 27.984126984126977, 10, 10.000000000000000, 0.0 }, |
| { -237.51841517857147, 10, 15.000000000000000, 0.0 }, |
| { 3227.8077601410932, 10, 20.000000000000000, 0.0 }, |
| { -45786.199797453693, 10, 25.000000000000000, 0.0 }, |
| { 15129.571428571455, 10, 30.000000000000000, 0.0 }, |
| { 7764800.8179494590, 10, 35.000000000000000, 0.0 }, |
| { 79724066.608465582, 10, 40.000000000000000, 0.0 }, |
| { 469865425.65122765, 10, 45.000000000000000, 0.0 }, |
| { 2037190065.3738980, 10, 50.000000000000000, 0.0 }, |
| { 7187828002.9825764, 10, 55.000000000000000, 0.0 }, |
| { 21804200401.000000, 10, 60.000000000000000, 0.0 }, |
| { 58854343015.616211, 10, 65.000000000000000, 0.0 }, |
| { 144688291819.51855, 10, 70.000000000000000, 0.0 }, |
| { 329425241736.70038, 10, 75.000000000000000, 0.0 }, |
| { 703324772760.08276, 10, 80.000000000000000, 0.0 }, |
| { 1421627560118.6157, 10, 85.000000000000000, 0.0 }, |
| { 2741055412243.8569, 10, 90.000000000000000, 0.0 }, |
| { 5071986977681.8652, 10, 95.000000000000000, 0.0 }, |
| { 9051283795429.5723, 10, 100.00000000000000, 0.0 }, |
| }; |
| const double toler005 = 5.0000000000000039e-13; |
| |
| // Test data for n=20. |
| // max(|f - f_GSL|): 2048.0000000000000 at index 19 |
| // max(|f - f_GSL| / |f_GSL|): 7.1189246999774008e-15 |
| // mean(f - f_GSL): -96.983562564903480 |
| // variance(f - f_GSL): 8.4641159685539344e+21 |
| // stddev(f - f_GSL): 92000630261.721222 |
| const testcase_laguerre<double> |
| data006[21] = |
| { |
| { 1.0000000000000000, 20, 0.0000000000000000, 0.0 }, |
| { 2.0202257444769134, 20, 5.0000000000000000, 0.0 }, |
| { -11.961333867812119, 20, 10.000000000000000, 0.0 }, |
| { -50.151037960139455, 20, 15.000000000000000, 0.0 }, |
| { 2829.4728613531743, 20, 20.000000000000000, 0.0 }, |
| { -11583.947899113540, 20, 25.000000000000000, 0.0 }, |
| { -18439.424502520938, 20, 30.000000000000000, 0.0 }, |
| { -38838.223606979285, 20, 35.000000000000000, 0.0 }, |
| { 24799805.877530713, 20, 40.000000000000000, 0.0 }, |
| { -673953823.59913278, 20, 45.000000000000000, 0.0 }, |
| { 7551960453.7672548, 20, 50.000000000000000, 0.0 }, |
| { 31286508510.614746, 20, 55.000000000000000, 0.0 }, |
| { -1379223608444.9155, 20, 60.000000000000000, 0.0 }, |
| { -6692517968212.9717, 20, 65.000000000000000, 0.0 }, |
| { 165423821874449.94, 20, 70.000000000000000, 0.0 }, |
| { 3082390018008546.5, 20, 75.000000000000000, 0.0 }, |
| { 29500368536981676., 20, 80.000000000000000, 0.0 }, |
| { 2.0353526354974186e+17, 20, 85.000000000000000, 0.0 }, |
| { 1.1292309514432901e+18, 20, 90.000000000000000, 0.0 }, |
| { 5.3239262855563100e+18, 20, 95.000000000000000, 0.0 }, |
| { 2.2061882785931735e+19, 20, 100.00000000000000, 0.0 }, |
| }; |
| const double toler006 = 5.0000000000000039e-13; |
| |
| // Test data for n=50. |
| // max(|f - f_GSL|): 196608.00000000000 at index 20 |
| // max(|f - f_GSL| / |f_GSL|): 4.2910775919271532e-15 |
| // mean(f - f_GSL): -8840.7163987470722 |
| // variance(f - f_GSL): 9.4918743844066836e+19 |
| // stddev(f - f_GSL): 9742625100.2523346 |
| const testcase_laguerre<double> |
| data007[21] = |
| { |
| { 1.0000000000000000, 50, 0.0000000000000000, 0.0 }, |
| { 1.4735258819430543, 50, 5.0000000000000000, 0.0 }, |
| { 17.534183446338233, 50, 10.000000000000000, 0.0 }, |
| { -195.62436619077380, 50, 15.000000000000000, 0.0 }, |
| { 980.26961889791028, 50, 20.000000000000000, 0.0 }, |
| { 24812.277673870878, 50, 25.000000000000000, 0.0 }, |
| { 293000.50735962362, 50, 30.000000000000000, 0.0 }, |
| { 2316195.5013375278, 50, 35.000000000000000, 0.0 }, |
| { -14896937.968694873, 50, 40.000000000000000, 0.0 }, |
| { -502066598.00813466, 50, 45.000000000000000, 0.0 }, |
| { 2513677852.6916871, 50, 50.000000000000000, 0.0 }, |
| { 45129675503.538910, 50, 55.000000000000000, 0.0 }, |
| { -883876565337.99219, 50, 60.000000000000000, 0.0 }, |
| { 9361319947203.8418, 50, 65.000000000000000, 0.0 }, |
| { -80967880733583.234, 50, 70.000000000000000, 0.0 }, |
| { 717391079438942.62, 50, 75.000000000000000, 0.0 }, |
| { -8217471769564841.0, 50, 80.000000000000000, 0.0 }, |
| { 1.2595276229009978e+17, 50, 85.000000000000000, 0.0 }, |
| { -2.1140031308048891e+18, 50, 90.000000000000000, 0.0 }, |
| { 3.2438187475835134e+19, 50, 95.000000000000000, 0.0 }, |
| { -3.9710103487094692e+20, 50, 100.00000000000000, 0.0 }, |
| }; |
| const double toler007 = 2.5000000000000020e-13; |
| |
| // Test data for n=100. |
| // max(|f - f_GSL|): 98304.000000000000 at index 20 |
| // max(|f - f_GSL| / |f_GSL|): 3.8776197831393928e-15 |
| // mean(f - f_GSL): -3668.6107413234895 |
| // variance(f - f_GSL): 2.7407314162194493e+19 |
| // stddev(f - f_GSL): 5235199534.1337748 |
| const testcase_laguerre<double> |
| data008[21] = |
| { |
| { 1.0000000000000000, 100, 0.0000000000000000, 0.0 }, |
| { 1.4555271625328801, 100, 5.0000000000000000, 0.0 }, |
| { 13.277662844303450, 100, 10.000000000000000, 0.0 }, |
| { 91.737038454342454, 100, 15.000000000000000, 0.0 }, |
| { 1854.0367283243388, 100, 20.000000000000000, 0.0 }, |
| { -11281.698886837261, 100, 25.000000000000000, 0.0 }, |
| { 170141.86987046551, 100, 30.000000000000000, 0.0 }, |
| { -2950092.7025822806, 100, 35.000000000000000, 0.0 }, |
| { -7272442.3156006960, 100, 40.000000000000000, 0.0 }, |
| { 295697471.90876162, 100, 45.000000000000000, 0.0 }, |
| { 4847420871.2690506, 100, 50.000000000000000, 0.0 }, |
| { 59406998102.392288, 100, 55.000000000000000, 0.0 }, |
| { 693492765740.29688, 100, 60.000000000000000, 0.0 }, |
| { 6606192010150.3154, 100, 65.000000000000000, 0.0 }, |
| { 17125518672239.770, 100, 70.000000000000000, 0.0 }, |
| { -870493767065150.12, 100, 75.000000000000000, 0.0 }, |
| { -13763178176383768., 100, 80.000000000000000, 0.0 }, |
| { 30667078414479584., 100, 85.000000000000000, 0.0 }, |
| { 2.1307220490380173e+18, 100, 90.000000000000000, 0.0 }, |
| { -7.2706523009007821e+18, 100, 95.000000000000000, 0.0 }, |
| { -2.6292260693068916e+20, 100, 100.00000000000000, 0.0 }, |
| }; |
| const double toler008 = 2.5000000000000020e-13; |
| |
| template<typename Ret, unsigned int Num> |
| void |
| test(const testcase_laguerre<Ret> (&data)[Num], Ret toler) |
| { |
| bool test __attribute__((unused)) = true; |
| const Ret eps = std::numeric_limits<Ret>::epsilon(); |
| Ret max_abs_diff = -Ret(1); |
| Ret max_abs_frac = -Ret(1); |
| unsigned int num_datum = Num; |
| for (unsigned int i = 0; i < num_datum; ++i) |
| { |
| const Ret f = std::laguerre(data[i].n, data[i].x); |
| const Ret f0 = data[i].f0; |
| const Ret diff = f - f0; |
| if (std::abs(diff) > max_abs_diff) |
| max_abs_diff = std::abs(diff); |
| if (std::abs(f0) > Ret(10) * eps |
| && std::abs(f) > Ret(10) * eps) |
| { |
| const Ret frac = diff / f0; |
| if (std::abs(frac) > max_abs_frac) |
| max_abs_frac = std::abs(frac); |
| } |
| } |
| VERIFY(max_abs_frac < toler); |
| } |
| |
| int |
| main() |
| { |
| test(data001, toler001); |
| test(data002, toler002); |
| test(data003, toler003); |
| test(data004, toler004); |
| test(data005, toler005); |
| test(data006, toler006); |
| test(data007, toler007); |
| test(data008, toler008); |
| return 0; |
| } |