--- /dev/null
+// 2007-02-04 Edward Smith-Rowland <3dw4rd@verizon.net>
+//
+// Copyright (C) 2007, 2009 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 <tr1/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 "../testcase.h"
+
+
+// Test data for n=0.
+testcase_laguerre<double> data001[] = {
+ { 1.0000000000000000, 0, 0.0000000000000000 },
+ { 1.0000000000000000, 0, 5.0000000000000000 },
+ { 1.0000000000000000, 0, 10.000000000000000 },
+ { 1.0000000000000000, 0, 15.000000000000000 },
+ { 1.0000000000000000, 0, 20.000000000000000 },
+ { 1.0000000000000000, 0, 25.000000000000000 },
+ { 1.0000000000000000, 0, 30.000000000000000 },
+ { 1.0000000000000000, 0, 35.000000000000000 },
+ { 1.0000000000000000, 0, 40.000000000000000 },
+ { 1.0000000000000000, 0, 45.000000000000000 },
+ { 1.0000000000000000, 0, 50.000000000000000 },
+ { 1.0000000000000000, 0, 55.000000000000000 },
+ { 1.0000000000000000, 0, 60.000000000000000 },
+ { 1.0000000000000000, 0, 65.000000000000000 },
+ { 1.0000000000000000, 0, 70.000000000000000 },
+ { 1.0000000000000000, 0, 75.000000000000000 },
+ { 1.0000000000000000, 0, 80.000000000000000 },
+ { 1.0000000000000000, 0, 85.000000000000000 },
+ { 1.0000000000000000, 0, 90.000000000000000 },
+ { 1.0000000000000000, 0, 95.000000000000000 },
+ { 1.0000000000000000, 0, 100.00000000000000 },
+};
+
+// Test function for n=0.
+template <typename Tp>
+void test001()
+{
+ const Tp eps = std::numeric_limits<Tp>::epsilon();
+ Tp max_abs_diff = -Tp(1);
+ Tp max_abs_frac = -Tp(1);
+ unsigned int num_datum = sizeof(data001)
+ / sizeof(testcase_laguerre<double>);
+ for (unsigned int i = 0; i < num_datum; ++i)
+ {
+ const Tp f = std::tr1::laguerre(Tp(data001[i].n), Tp(data001[i].x));
+ const Tp f0 = data001[i].f0;
+ const Tp diff = f - f0;
+ if (std::abs(diff) > max_abs_diff)
+ max_abs_diff = std::abs(diff);
+ if (std::abs(f0) > Tp(10) * eps
+ && std::abs(f) > Tp(10) * eps)
+ {
+ const Tp frac = diff / f0;
+ if (std::abs(frac) > max_abs_frac)
+ max_abs_frac = std::abs(frac);
+ }
+ }
+ VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
+}
+
+// Test data for n=1.
+testcase_laguerre<double> data002[] = {
+ { 1.0000000000000000, 1, 0.0000000000000000 },
+ { -4.0000000000000000, 1, 5.0000000000000000 },
+ { -9.0000000000000000, 1, 10.000000000000000 },
+ { -14.000000000000000, 1, 15.000000000000000 },
+ { -19.000000000000000, 1, 20.000000000000000 },
+ { -24.000000000000000, 1, 25.000000000000000 },
+ { -29.000000000000000, 1, 30.000000000000000 },
+ { -34.000000000000000, 1, 35.000000000000000 },
+ { -39.000000000000000, 1, 40.000000000000000 },
+ { -44.000000000000000, 1, 45.000000000000000 },
+ { -49.000000000000000, 1, 50.000000000000000 },
+ { -54.000000000000000, 1, 55.000000000000000 },
+ { -59.000000000000000, 1, 60.000000000000000 },
+ { -64.000000000000000, 1, 65.000000000000000 },
+ { -69.000000000000000, 1, 70.000000000000000 },
+ { -74.000000000000000, 1, 75.000000000000000 },
+ { -79.000000000000000, 1, 80.000000000000000 },
+ { -84.000000000000000, 1, 85.000000000000000 },
+ { -89.000000000000000, 1, 90.000000000000000 },
+ { -94.000000000000000, 1, 95.000000000000000 },
+ { -99.000000000000000, 1, 100.00000000000000 },
+};
+
+// Test function for n=1.
+template <typename Tp>
+void test002()
+{
+ const Tp eps = std::numeric_limits<Tp>::epsilon();
+ Tp max_abs_diff = -Tp(1);
+ Tp max_abs_frac = -Tp(1);
+ unsigned int num_datum = sizeof(data002)
+ / sizeof(testcase_laguerre<double>);
+ for (unsigned int i = 0; i < num_datum; ++i)
+ {
+ const Tp f = std::tr1::laguerre(Tp(data002[i].n), Tp(data002[i].x));
+ const Tp f0 = data002[i].f0;
+ const Tp diff = f - f0;
+ if (std::abs(diff) > max_abs_diff)
+ max_abs_diff = std::abs(diff);
+ if (std::abs(f0) > Tp(10) * eps
+ && std::abs(f) > Tp(10) * eps)
+ {
+ const Tp frac = diff / f0;
+ if (std::abs(frac) > max_abs_frac)
+ max_abs_frac = std::abs(frac);
+ }
+ }
+ VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
+}
+
+// Test data for n=2.
+testcase_laguerre<double> data003[] = {
+ { 1.0000000000000000, 2, 0.0000000000000000 },
+ { 3.5000000000000000, 2, 5.0000000000000000 },
+ { 31.000000000000000, 2, 10.000000000000000 },
+ { 83.500000000000000, 2, 15.000000000000000 },
+ { 161.00000000000000, 2, 20.000000000000000 },
+ { 263.50000000000000, 2, 25.000000000000000 },
+ { 391.00000000000000, 2, 30.000000000000000 },
+ { 543.50000000000000, 2, 35.000000000000000 },
+ { 721.00000000000000, 2, 40.000000000000000 },
+ { 923.50000000000000, 2, 45.000000000000000 },
+ { 1151.0000000000000, 2, 50.000000000000000 },
+ { 1403.5000000000000, 2, 55.000000000000000 },
+ { 1681.0000000000000, 2, 60.000000000000000 },
+ { 1983.5000000000000, 2, 65.000000000000000 },
+ { 2311.0000000000000, 2, 70.000000000000000 },
+ { 2663.5000000000000, 2, 75.000000000000000 },
+ { 3041.0000000000000, 2, 80.000000000000000 },
+ { 3443.5000000000000, 2, 85.000000000000000 },
+ { 3871.0000000000000, 2, 90.000000000000000 },
+ { 4323.5000000000000, 2, 95.000000000000000 },
+ { 4801.0000000000000, 2, 100.00000000000000 },
+};
+
+// Test function for n=2.
+template <typename Tp>
+void test003()
+{
+ const Tp eps = std::numeric_limits<Tp>::epsilon();
+ Tp max_abs_diff = -Tp(1);
+ Tp max_abs_frac = -Tp(1);
+ unsigned int num_datum = sizeof(data003)
+ / sizeof(testcase_laguerre<double>);
+ for (unsigned int i = 0; i < num_datum; ++i)
+ {
+ const Tp f = std::tr1::laguerre(Tp(data003[i].n), Tp(data003[i].x));
+ const Tp f0 = data003[i].f0;
+ const Tp diff = f - f0;
+ if (std::abs(diff) > max_abs_diff)
+ max_abs_diff = std::abs(diff);
+ if (std::abs(f0) > Tp(10) * eps
+ && std::abs(f) > Tp(10) * eps)
+ {
+ const Tp frac = diff / f0;
+ if (std::abs(frac) > max_abs_frac)
+ max_abs_frac = std::abs(frac);
+ }
+ }
+ VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
+}
+
+// Test data for n=5.
+testcase_laguerre<double> data004[] = {
+ { 1.0000000000000000, 5, 0.0000000000000000 },
+ { -3.1666666666666665, 5, 5.0000000000000000 },
+ { 34.333333333333329, 5, 10.000000000000000 },
+ { -355.25000000000000, 5, 15.000000000000000 },
+ { -4765.6666666666670, 5, 20.000000000000000 },
+ { -23040.666666666664, 5, 25.000000000000000 },
+ { -74399.000000000000, 5, 30.000000000000000 },
+ { -190559.41666666663, 5, 35.000000000000000 },
+ { -418865.66666666663, 5, 40.000000000000000 },
+ { -825411.50000000000, 5, 45.000000000000000 },
+ { -1498165.6666666665, 5, 50.000000000000000 },
+ { -2550096.9166666670, 5, 55.000000000000000 },
+ { -4122299.0000000000, 5, 60.000000000000000 },
+ { -6387115.6666666670, 5, 65.000000000000000 },
+ { -9551265.6666666679, 5, 70.000000000000000 },
+ { -13858967.750000000, 5, 75.000000000000000 },
+ { -19595065.666666664, 5, 80.000000000000000 },
+ { -27088153.166666668, 5, 85.000000000000000 },
+ { -36713699.000000000, 5, 90.000000000000000 },
+ { -48897171.916666657, 5, 95.000000000000000 },
+ { -64117165.666666664, 5, 100.00000000000000 },
+};
+
+// Test function for n=5.
+template <typename Tp>
+void test004()
+{
+ const Tp eps = std::numeric_limits<Tp>::epsilon();
+ Tp max_abs_diff = -Tp(1);
+ Tp max_abs_frac = -Tp(1);
+ unsigned int num_datum = sizeof(data004)
+ / sizeof(testcase_laguerre<double>);
+ for (unsigned int i = 0; i < num_datum; ++i)
+ {
+ const Tp f = std::tr1::laguerre(Tp(data004[i].n), Tp(data004[i].x));
+ const Tp f0 = data004[i].f0;
+ const Tp diff = f - f0;
+ if (std::abs(diff) > max_abs_diff)
+ max_abs_diff = std::abs(diff);
+ if (std::abs(f0) > Tp(10) * eps
+ && std::abs(f) > Tp(10) * eps)
+ {
+ const Tp frac = diff / f0;
+ if (std::abs(frac) > max_abs_frac)
+ max_abs_frac = std::abs(frac);
+ }
+ }
+ VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
+}
+
+// Test data for n=10.
+testcase_laguerre<double> data005[] = {
+ { 1.0000000000000000, 10, 0.0000000000000000 },
+ { 1.7562761794532620, 10, 5.0000000000000000 },
+ { 27.984126984126981, 10, 10.000000000000000 },
+ { -237.51841517857147, 10, 15.000000000000000 },
+ { 3227.8077601410932, 10, 20.000000000000000 },
+ { -45786.199797453693, 10, 25.000000000000000 },
+ { 15129.571428571489, 10, 30.000000000000000 },
+ { 7764800.8179494590, 10, 35.000000000000000 },
+ { 79724066.608465582, 10, 40.000000000000000 },
+ { 469865425.65122765, 10, 45.000000000000000 },
+ { 2037190065.3738980, 10, 50.000000000000000 },
+ { 7187828002.9825764, 10, 55.000000000000000 },
+ { 21804200401.000000, 10, 60.000000000000000 },
+ { 58854343015.616211, 10, 65.000000000000000 },
+ { 144688291819.51855, 10, 70.000000000000000 },
+ { 329425241736.70038, 10, 75.000000000000000 },
+ { 703324772760.08276, 10, 80.000000000000000 },
+ { 1421627560118.6157, 10, 85.000000000000000 },
+ { 2741055412243.8569, 10, 90.000000000000000 },
+ { 5071986977681.8652, 10, 95.000000000000000 },
+ { 9051283795429.5723, 10, 100.00000000000000 },
+};
+
+// Test function for n=10.
+template <typename Tp>
+void test005()
+{
+ const Tp eps = std::numeric_limits<Tp>::epsilon();
+ Tp max_abs_diff = -Tp(1);
+ Tp max_abs_frac = -Tp(1);
+ unsigned int num_datum = sizeof(data005)
+ / sizeof(testcase_laguerre<double>);
+ for (unsigned int i = 0; i < num_datum; ++i)
+ {
+ const Tp f = std::tr1::laguerre(Tp(data005[i].n), Tp(data005[i].x));
+ const Tp f0 = data005[i].f0;
+ const Tp diff = f - f0;
+ if (std::abs(diff) > max_abs_diff)
+ max_abs_diff = std::abs(diff);
+ if (std::abs(f0) > Tp(10) * eps
+ && std::abs(f) > Tp(10) * eps)
+ {
+ const Tp frac = diff / f0;
+ if (std::abs(frac) > max_abs_frac)
+ max_abs_frac = std::abs(frac);
+ }
+ }
+ VERIFY(max_abs_frac < Tp(5.0000000000000039e-13));
+}
+
+// Test data for n=20.
+testcase_laguerre<double> data006[] = {
+ { 1.0000000000000000, 20, 0.0000000000000000 },
+ { 2.0202257444769129, 20, 5.0000000000000000 },
+ { -11.961333867812119, 20, 10.000000000000000 },
+ { -50.151037960139455, 20, 15.000000000000000 },
+ { 2829.4728613531738, 20, 20.000000000000000 },
+ { -11583.947899113535, 20, 25.000000000000000 },
+ { -18439.424502520938, 20, 30.000000000000000 },
+ { -38838.223606979467, 20, 35.000000000000000 },
+ { 24799805.877530701, 20, 40.000000000000000 },
+ { -673953823.59913290, 20, 45.000000000000000 },
+ { 7551960453.7672529, 20, 50.000000000000000 },
+ { 31286508510.614754, 20, 55.000000000000000 },
+ { -1379223608444.9155, 20, 60.000000000000000 },
+ { -6692517968212.9727, 20, 65.000000000000000 },
+ { 165423821874449.94, 20, 70.000000000000000 },
+ { 3082390018008546.5, 20, 75.000000000000000 },
+ { 29500368536981676., 20, 80.000000000000000 },
+ { 2.0353526354974186e+17, 20, 85.000000000000000 },
+ { 1.1292309514432899e+18, 20, 90.000000000000000 },
+ { 5.3239262855563100e+18, 20, 95.000000000000000 },
+ { 2.2061882785931735e+19, 20, 100.00000000000000 },
+};
+
+// Test function for n=20.
+template <typename Tp>
+void test006()
+{
+ const Tp eps = std::numeric_limits<Tp>::epsilon();
+ Tp max_abs_diff = -Tp(1);
+ Tp max_abs_frac = -Tp(1);
+ unsigned int num_datum = sizeof(data006)
+ / sizeof(testcase_laguerre<double>);
+ for (unsigned int i = 0; i < num_datum; ++i)
+ {
+ const Tp f = std::tr1::laguerre(Tp(data006[i].n), Tp(data006[i].x));
+ const Tp f0 = data006[i].f0;
+ const Tp diff = f - f0;
+ if (std::abs(diff) > max_abs_diff)
+ max_abs_diff = std::abs(diff);
+ if (std::abs(f0) > Tp(10) * eps
+ && std::abs(f) > Tp(10) * eps)
+ {
+ const Tp frac = diff / f0;
+ if (std::abs(frac) > max_abs_frac)
+ max_abs_frac = std::abs(frac);
+ }
+ }
+ VERIFY(max_abs_frac < Tp(1.0000000000000008e-12));
+}
+
+// Test data for n=50.
+testcase_laguerre<double> data007[] = {
+ { 1.0000000000000000, 50, 0.0000000000000000 },
+ { 1.4735258819430563, 50, 5.0000000000000000 },
+ { 17.534183446338233, 50, 10.000000000000000 },
+ { -195.62436619077388, 50, 15.000000000000000 },
+ { 980.26961889790766, 50, 20.000000000000000 },
+ { 24812.277673870871, 50, 25.000000000000000 },
+ { 293000.50735962350, 50, 30.000000000000000 },
+ { 2316195.5013375296, 50, 35.000000000000000 },
+ { -14896937.968694847, 50, 40.000000000000000 },
+ { -502066598.00813466, 50, 45.000000000000000 },
+ { 2513677852.6916885, 50, 50.000000000000000 },
+ { 45129675503.538948, 50, 55.000000000000000 },
+ { -883876565337.99207, 50, 60.000000000000000 },
+ { 9361319947203.8379, 50, 65.000000000000000 },
+ { -80967880733583.219, 50, 70.000000000000000 },
+ { 717391079438942.88, 50, 75.000000000000000 },
+ { -8217471769564850.0, 50, 80.000000000000000 },
+ { 1.2595276229009984e+17, 50, 85.000000000000000 },
+ { -2.1140031308048906e+18, 50, 90.000000000000000 },
+ { 3.2438187475835138e+19, 50, 95.000000000000000 },
+ { -3.9710103487094673e+20, 50, 100.00000000000000 },
+};
+
+// Test function for n=50.
+template <typename Tp>
+void test007()
+{
+ const Tp eps = std::numeric_limits<Tp>::epsilon();
+ Tp max_abs_diff = -Tp(1);
+ Tp max_abs_frac = -Tp(1);
+ unsigned int num_datum = sizeof(data007)
+ / sizeof(testcase_laguerre<double>);
+ for (unsigned int i = 0; i < num_datum; ++i)
+ {
+ const Tp f = std::tr1::laguerre(Tp(data007[i].n), Tp(data007[i].x));
+ const Tp f0 = data007[i].f0;
+ const Tp diff = f - f0;
+ if (std::abs(diff) > max_abs_diff)
+ max_abs_diff = std::abs(diff);
+ if (std::abs(f0) > Tp(10) * eps
+ && std::abs(f) > Tp(10) * eps)
+ {
+ const Tp frac = diff / f0;
+ if (std::abs(frac) > max_abs_frac)
+ max_abs_frac = std::abs(frac);
+ }
+ }
+ VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
+}
+
+// Test data for n=100.
+testcase_laguerre<double> data008[] = {
+ { 1.0000000000000000, 100, 0.0000000000000000 },
+ { 1.4555271625328832, 100, 5.0000000000000000 },
+ { 13.277662844303402, 100, 10.000000000000000 },
+ { 91.737038454342013, 100, 15.000000000000000 },
+ { 1854.0367283243393, 100, 20.000000000000000 },
+ { -11281.698886837237, 100, 25.000000000000000 },
+ { 170141.86987046539, 100, 30.000000000000000 },
+ { -2950092.7025822792, 100, 35.000000000000000 },
+ { -7272442.3156007063, 100, 40.000000000000000 },
+ { 295697471.90876174, 100, 45.000000000000000 },
+ { 4847420871.2690468, 100, 50.000000000000000 },
+ { 59406998102.392273, 100, 55.000000000000000 },
+ { 693492765740.29736, 100, 60.000000000000000 },
+ { 6606192010150.3096, 100, 65.000000000000000 },
+ { 17125518672239.707, 100, 70.000000000000000 },
+ { -870493767065151.38, 100, 75.000000000000000 },
+ { -13763178176383754., 100, 80.000000000000000 },
+ { 30667078414479724., 100, 85.000000000000000 },
+ { 2.1307220490380198e+18, 100, 90.000000000000000 },
+ { -7.2706523009007862e+18, 100, 95.000000000000000 },
+ { -2.6292260693068920e+20, 100, 100.00000000000000 },
+};
+
+// Test function for n=100.
+template <typename Tp>
+void test008()
+{
+ const Tp eps = std::numeric_limits<Tp>::epsilon();
+ Tp max_abs_diff = -Tp(1);
+ Tp max_abs_frac = -Tp(1);
+ unsigned int num_datum = sizeof(data008)
+ / sizeof(testcase_laguerre<double>);
+ for (unsigned int i = 0; i < num_datum; ++i)
+ {
+ const Tp f = std::tr1::laguerre(Tp(data008[i].n), Tp(data008[i].x));
+ const Tp f0 = data008[i].f0;
+ const Tp diff = f - f0;
+ if (std::abs(diff) > max_abs_diff)
+ max_abs_diff = std::abs(diff);
+ if (std::abs(f0) > Tp(10) * eps
+ && std::abs(f) > Tp(10) * eps)
+ {
+ const Tp frac = diff / f0;
+ if (std::abs(frac) > max_abs_frac)
+ max_abs_frac = std::abs(frac);
+ }
+ }
+ VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
+}
+
+int main(int, char**)
+{
+ test001<double>();
+ test002<double>();
+ test003<double>();
+ test004<double>();
+ test005<double>();
+ test006<double>();
+ test007<double>();
+ test008<double>();
+ return 0;
+}
projects / msp430-gcc.git / blobdiff