test_auto.c

该文件为c++的数学函数库!是一个非常有用的编程工具.它含有各种数学函数,为科学计算、工程应用等程序编写提供方便！

    TEST(gsl_cdf_lognormal_P, (1.0000000000000000e+02,1.3,2.7), 8.895497448370e-01, TEST_TOL6);
    TEST(gsl_cdf_lognormal_Pinv, (8.8954974483702642e-01,1.3,2.7), 1.000000000000e+02, TEST_TOL6);
    TEST(gsl_cdf_lognormal_P, (1.0000000000000000e+03,1.3,2.7), 9.810967467052e-01, TEST_TOL6);
    TEST(gsl_cdf_lognormal_Pinv, (9.8109674670518154e-01,1.3,2.7), 1.000000000000e+03, TEST_TOL6);
    TEST(gsl_cdf_lognormal_P, (1.0000000000000000e+04,1.3,2.7), 9.983038570318e-01, TEST_TOL6);
    TEST(gsl_cdf_lognormal_Pinv, (9.9830385703184354e-01,1.3,2.7), 1.000000000000e+04, TEST_TOL6);
    TEST(gsl_cdf_lognormal_P, (1.0000000000000000e+05,1.3,2.7), 9.999223897251e-01, TEST_TOL6);
    TEST(gsl_cdf_lognormal_Pinv, (9.9992238972508574e-01,1.3,2.7), 1.000000000000e+05, TEST_TOL6);
    TEST(gsl_cdf_lognormal_P, (1.0000000000000000e+06,1.3,2.7), 9.999982185389e-01, TEST_TOL6);
    TEST(gsl_cdf_lognormal_P, (1.0000000000000000e+07,1.3,2.7), 9.999999796956e-01, TEST_TOL6);
    TEST(gsl_cdf_lognormal_P, (1.0000000000000000e+08,1.3,2.7), 9.999999998859e-01, TEST_TOL6);
    TEST(gsl_cdf_lognormal_P, (1.0000000000000000e+09,1.3,2.7), 9.999999999997e-01, TEST_TOL6);
    TEST(gsl_cdf_lognormal_P, (1.0000000000000000e+10,1.3,2.7), 1.000000000000e-00, TEST_TOL6);

    TEST(gsl_cdf_lognormal_Q, (1.0000000000000000e+10,1.3,2.7), 4.255893513650e-16, TEST_TOL6);
    TEST(gsl_cdf_lognormal_Qinv, (4.2558935136502785e-16,1.3,2.7), 1.000000000000e+10, TEST_TOL6);
    TEST(gsl_cdf_lognormal_Q, (1.0000000000000000e+09,1.3,2.7), 3.150574023842e-13, TEST_TOL6);
    TEST(gsl_cdf_lognormal_Qinv, (3.1505740238418296e-13,1.3,2.7), 1.000000000000e+09, TEST_TOL6);
    TEST(gsl_cdf_lognormal_Q, (1.0000000000000000e+08,1.3,2.7), 1.141445550080e-10, TEST_TOL6);
    TEST(gsl_cdf_lognormal_Qinv, (1.1414455500802107e-10,1.3,2.7), 1.000000000000e+08, TEST_TOL6);
    TEST(gsl_cdf_lognormal_Q, (1.0000000000000000e+07,1.3,2.7), 2.030439602858e-08, TEST_TOL6);
    TEST(gsl_cdf_lognormal_Qinv, (2.0304396028576915e-08,1.3,2.7), 1.000000000000e+07, TEST_TOL6);
    TEST(gsl_cdf_lognormal_Q, (1.0000000000000000e+06,1.3,2.7), 1.781461076603e-06, TEST_TOL6);
    TEST(gsl_cdf_lognormal_Qinv, (1.7814610766031938e-06,1.3,2.7), 1.000000000000e+06, TEST_TOL6);
    TEST(gsl_cdf_lognormal_Q, (1.0000000000000000e+05,1.3,2.7), 7.761027491429e-05, TEST_TOL6);
    TEST(gsl_cdf_lognormal_Qinv, (7.7610274914290006e-05,1.3,2.7), 1.000000000000e+05, TEST_TOL6);
    TEST(gsl_cdf_lognormal_Q, (1.0000000000000000e+04,1.3,2.7), 1.696142968157e-03, TEST_TOL6);
    TEST(gsl_cdf_lognormal_Qinv, (1.6961429681565346e-03,1.3,2.7), 1.000000000000e+04, TEST_TOL6);
    TEST(gsl_cdf_lognormal_Q, (1.0000000000000000e+03,1.3,2.7), 1.890325329482e-02, TEST_TOL6);
    TEST(gsl_cdf_lognormal_Qinv, (1.8903253294818529e-02,1.3,2.7), 1.000000000000e+03, TEST_TOL6);
    TEST(gsl_cdf_lognormal_Q, (1.0000000000000000e+02,1.3,2.7), 1.104502551630e-01, TEST_TOL6);
    TEST(gsl_cdf_lognormal_Qinv, (1.1045025516297369e-01,1.3,2.7), 1.000000000000e+02, TEST_TOL6);
    TEST(gsl_cdf_lognormal_Q, (1.0000000000000000e+01,1.3,2.7), 3.551966926283e-01, TEST_TOL6);
    TEST(gsl_cdf_lognormal_Qinv, (3.5519669262825992e-01,1.3,2.7), 1.000000000000e+01, TEST_TOL6);
    TEST(gsl_cdf_lognormal_Q, (1.0000000000000000e+00,1.3,2.7), 6.849128309162e-01, TEST_TOL6);
    TEST(gsl_cdf_lognormal_Qinv, (6.8491283091624500e-01,1.3,2.7), 1.000000000000e+00, TEST_TOL6);
    TEST(gsl_cdf_lognormal_Q, (1.0000000000000001e-01,1.3,2.7), 9.089457101706e-01, TEST_TOL6);
    TEST(gsl_cdf_lognormal_Qinv, (9.0894571017059467e-01,1.3,2.7), 1.000000000000e-01, TEST_TOL6);
    TEST(gsl_cdf_lognormal_Q, (1.0000000000000000e-02,1.3,2.7), 9.856323901896e-01, TEST_TOL6);
    TEST(gsl_cdf_lognormal_Qinv, (9.8563239018959370e-01,1.3,2.7), 1.000000000000e-02, TEST_TOL6);
    TEST(gsl_cdf_lognormal_Q, (1.0000000000000000e-03,1.3,2.7), 9.988167532245e-01, TEST_TOL6);
    TEST(gsl_cdf_lognormal_Qinv, (9.9881675322454400e-01,1.3,2.7), 1.000000000000e-03, TEST_TOL6);
    TEST(gsl_cdf_lognormal_Q, (1.0000000000000000e-04,1.3,2.7), 9.999504364565e-01, TEST_TOL6);
    TEST(gsl_cdf_lognormal_Q, (1.0000000000000001e-05,1.3,2.7), 9.999989601840e-01, TEST_TOL6);
    TEST(gsl_cdf_lognormal_Q, (9.9999999999999995e-07,1.3,2.7), 9.999999891791e-01, TEST_TOL6);
    TEST(gsl_cdf_lognormal_Q, (9.9999999999999995e-08,1.3,2.7), 9.999999999445e-01, TEST_TOL6);
    TEST(gsl_cdf_lognormal_Q, (1.0000000000000000e-08,1.3,2.7), 9.999999999999e-01, TEST_TOL6);
    TEST(gsl_cdf_lognormal_Q, (1.0000000000000001e-09,1.3,2.7), 1.000000000000e+00, TEST_TOL6);
    TEST(gsl_cdf_lognormal_Q, (1.0000000000000000e-10,1.3,2.7), 1.000000000000e+00, TEST_TOL6);
    TEST(gsl_cdf_lognormal_Q, (0.0000000000000000e+00,1.3,2.7), 1.000000000000e+00, TEST_TOL6);
}

void test_auto_gamma (void);

void
test_auto_gamma (void)
{
    TEST(gsl_cdf_gamma_P, (0.0000000000000000e+00,1.3,2.7), 0.000000000000e+00, TEST_TOL6);
    TEST(gsl_cdf_gamma_P, (1.0000000000000000e-10,1.3,2.7), 2.356478475164e-14, TEST_TOL6);
    TEST(gsl_cdf_gamma_Pinv, (2.3564784751638661e-14,1.3,2.7), 1.000000000000e-10, TEST_TOL6);
    TEST(gsl_cdf_gamma_P, (1.0000000000000001e-09,1.3,2.7), 4.701792696644e-13, TEST_TOL6);
    TEST(gsl_cdf_gamma_Pinv, (4.7017926966439445e-13,1.3,2.7), 1.000000000000e-09, TEST_TOL6);
    TEST(gsl_cdf_gamma_P, (1.0000000000000000e-08,1.3,2.7), 9.381309762735e-12, TEST_TOL6);
    TEST(gsl_cdf_gamma_Pinv, (9.3813097627346386e-12,1.3,2.7), 1.000000000000e-08, TEST_TOL6);
    TEST(gsl_cdf_gamma_P, (9.9999999999999995e-08,1.3,2.7), 1.871817348197e-10, TEST_TOL6);
    TEST(gsl_cdf_gamma_Pinv, (1.8718173481972823e-10,1.3,2.7), 1.000000000000e-07, TEST_TOL6);
    TEST(gsl_cdf_gamma_P, (9.9999999999999995e-07,1.3,2.7), 3.734765911711e-09, TEST_TOL6);
    TEST(gsl_cdf_gamma_Pinv, (3.7347659117114240e-09,1.3,2.7), 1.000000000000e-06, TEST_TOL6);
    TEST(gsl_cdf_gamma_P, (1.0000000000000001e-05,1.3,2.7), 7.451823639191e-08, TEST_TOL6);
    TEST(gsl_cdf_gamma_Pinv, (7.4518236391910116e-08,1.3,2.7), 1.000000000000e-05, TEST_TOL6);
    TEST(gsl_cdf_gamma_P, (1.0000000000000000e-04,1.3,2.7), 1.486806276026e-06, TEST_TOL6);
    TEST(gsl_cdf_gamma_Pinv, (1.4868062760263472e-06,1.3,2.7), 1.000000000000e-04, TEST_TOL6);
    TEST(gsl_cdf_gamma_P, (1.0000000000000000e-03,1.3,2.7), 2.966009681152e-05, TEST_TOL6);
    TEST(gsl_cdf_gamma_Pinv, (2.9660096811518665e-05,1.3,2.7), 1.000000000000e-03, TEST_TOL6);
    TEST(gsl_cdf_gamma_P, (1.0000000000000000e-02,1.3,2.7), 5.906831032950e-04, TEST_TOL6);
    TEST(gsl_cdf_gamma_Pinv, (5.9068310329499826e-04,1.3,2.7), 1.000000000000e-02, TEST_TOL6);
    TEST(gsl_cdf_gamma_P, (1.0000000000000001e-01,1.3,2.7), 1.156629233128e-02, TEST_TOL6);
    TEST(gsl_cdf_gamma_Pinv, (1.1566292331279586e-02,1.3,2.7), 1.000000000000e-01, TEST_TOL6);
    TEST(gsl_cdf_gamma_P, (1.0000000000000000e+00,1.3,2.7), 1.921237769663e-01, TEST_TOL6);
    TEST(gsl_cdf_gamma_Pinv, (1.9212377696630473e-01,1.3,2.7), 1.000000000000e+00, TEST_TOL6);
    TEST(gsl_cdf_gamma_P, (1.0000000000000000e+01,1.3,2.7), 9.565035356115e-01, TEST_TOL6);
    TEST(gsl_cdf_gamma_Pinv, (9.5650353561153789e-01,1.3,2.7), 1.000000000000e+01, TEST_TOL6);
    TEST(gsl_cdf_gamma_P, (1.0000000000000000e+02,1.3,2.7), 1.000000000000e-00, TEST_TOL6);
    TEST(gsl_cdf_gamma_P, (1.0000000000000000e+03,1.3,2.7), 1.000000000000e+00, TEST_TOL6);
    TEST(gsl_cdf_gamma_P, (1.0000000000000000e+04,1.3,2.7), 1.000000000000e+00, TEST_TOL6);
    TEST(gsl_cdf_gamma_P, (1.0000000000000000e+05,1.3,2.7), 1.000000000000e+00, TEST_TOL6);
    TEST(gsl_cdf_gamma_P, (1.0000000000000000e+06,1.3,2.7), 1.000000000000e+00, TEST_TOL6);
    TEST(gsl_cdf_gamma_P, (1.0000000000000000e+07,1.3,2.7), 1.000000000000e+00, TEST_TOL6);
    TEST(gsl_cdf_gamma_P, (1.0000000000000000e+08,1.3,2.7), 1.000000000000e+00, TEST_TOL6);
    TEST(gsl_cdf_gamma_P, (1.0000000000000000e+09,1.3,2.7), 1.000000000000e+00, TEST_TOL6);
    TEST(gsl_cdf_gamma_P, (1.0000000000000000e+10,1.3,2.7), 1.000000000000e+00, TEST_TOL6);

    TEST(gsl_cdf_gamma_Q, (1.0000000000000000e+10,1.3,2.7), 0.000000000000e+00, TEST_TOL6);
    TEST(gsl_cdf_gamma_Q, (1.0000000000000000e+09,1.3,2.7), 0.000000000000e+00, TEST_TOL6);
    TEST(gsl_cdf_gamma_Q, (1.0000000000000000e+08,1.3,2.7), 0.000000000000e+00, TEST_TOL6);
    TEST(gsl_cdf_gamma_Q, (1.0000000000000000e+07,1.3,2.7), 0.000000000000e+00, TEST_TOL6);
    TEST(gsl_cdf_gamma_Q, (1.0000000000000000e+06,1.3,2.7), 0.000000000000e+00, TEST_TOL6);
    TEST(gsl_cdf_gamma_Q, (1.0000000000000000e+05,1.3,2.7), 0.000000000000e+00, TEST_TOL6);
    TEST(gsl_cdf_gamma_Q, (1.0000000000000000e+04,1.3,2.7), 0.000000000000e+00, TEST_TOL6);
    TEST(gsl_cdf_gamma_Q, (1.0000000000000000e+03,1.3,2.7), 9.292091038794e-161, TEST_TOL6);
    TEST(gsl_cdf_gamma_Qinv, (9.2920910387939860e-161,1.3,2.7), 1.000000000000e+03, TEST_TOL6);
    TEST(gsl_cdf_gamma_Q, (1.0000000000000000e+02,1.3,2.7), 2.729167976527e-16, TEST_TOL6);
    TEST(gsl_cdf_gamma_Qinv, (2.7291679765273174e-16,1.3,2.7), 1.000000000000e+02, TEST_TOL6);
    TEST(gsl_cdf_gamma_Q, (1.0000000000000000e+01,1.3,2.7), 4.349646438846e-02, TEST_TOL6);
    TEST(gsl_cdf_gamma_Qinv, (4.3496464388462192e-02,1.3,2.7), 1.000000000000e+01, TEST_TOL6);
    TEST(gsl_cdf_gamma_Q, (1.0000000000000000e+00,1.3,2.7), 8.078762230337e-01, TEST_TOL6);
    TEST(gsl_cdf_gamma_Qinv, (8.0787622303369533e-01,1.3,2.7), 1.000000000000e+00, TEST_TOL6);
    TEST(gsl_cdf_gamma_Q, (1.0000000000000001e-01,1.3,2.7), 9.884337076687e-01, TEST_TOL6);
    TEST(gsl_cdf_gamma_Qinv, (9.8843370766872041e-01,1.3,2.7), 1.000000000000e-01, TEST_TOL6);
    TEST(gsl_cdf_gamma_Q, (1.0000000000000000e-02,1.3,2.7), 9.994093168967e-01, TEST_TOL6);
    TEST(gsl_cdf_gamma_Qinv, (9.9940931689670498e-01,1.3,2.7), 1.000000000000e-02, TEST_TOL6);
    TEST(gsl_cdf_gamma_Q, (1.0000000000000000e-03,1.3,2.7), 9.999703399032e-01, TEST_TOL6);
    TEST(gsl_cdf_gamma_Q, (1.0000000000000000e-04,1.3,2.7), 9.999985131937e-01, TEST_TOL6);
    TEST(gsl_cdf_gamma_Q, (1.0000000000000001e-05,1.3,2.7), 9.999999254818e-01, TEST_TOL6);
    TEST(gsl_cdf_gamma_Q, (9.9999999999999995e-07,1.3,2.7), 9.999999962652e-01, TEST_TOL6);
    TEST(gsl_cdf_gamma_Q, (9.9999999999999995e-08,1.3,2.7), 9.999999998128e-01, TEST_TOL6);
    TEST(gsl_cdf_gamma_Q, (1.0000000000000000e-08,1.3,2.7), 9.999999999906e-01, TEST_TOL6);
    TEST(gsl_cdf_gamma_Q, (1.0000000000000001e-09,1.3,2.7), 9.999999999995e-01, TEST_TOL6);
    TEST(gsl_cdf_gamma_Q, (1.0000000000000000e-10,1.3,2.7), 1.000000000000e-00, TEST_TOL6);
    TEST(gsl_cdf_gamma_Q, (0.0000000000000000e+00,1.3,2.7), 1.000000000000e+00, TEST_TOL6);
}

void test_auto_chisq (void);

void
test_auto_chisq (void)
{
    TEST(gsl_cdf_chisq_P, (0.0000000000000000e+00,1.3), 0.000000000000e+00, TEST_TOL6);
    TEST(gsl_cdf_chisq_P, (1.0000000000000000e-10,1.3), 2.238884178785e-07, TEST_TOL6);
    TEST(gsl_cdf_chisq_Pinv, (2.2388841787852728e-07,1.3), 1.000000000000e-10, TEST_TOL6);
    TEST(gsl_cdf_chisq_P, (1.0000000000000001e-09,1.3), 1.000072827212e-06, TEST_TOL6);
    TEST(gsl_cdf_chisq_Pinv, (1.0000728272124926e-06,1.3), 1.000000000000e-09, TEST_TOL6);
    TEST(gsl_cdf_chisq_P, (1.0000000000000000e-08,1.3), 4.467161220799e-06, TEST_TOL6);
    TEST(gsl_cdf_chisq_Pinv, (4.4671612207994108e-06,1.3), 1.000000000000e-08, TEST_TOL6);
    TEST(gsl_cdf_chisq_P, (9.9999999999999995e-08,1.3), 1.995407585451e-05, TEST_TOL6);
    TEST(gsl_cdf_chisq_Pinv, (1.9954075854510294e-05,1.3), 1.000000000000e-07, TEST_TOL6);
    TEST(gsl_cdf_chisq_P, (9.9999999999999995e-07,1.3), 8.913156700686e-05, TEST_TOL6);
    TEST(gsl_cdf_chisq_Pinv, (8.9131567006858211e-05,1.3), 1.000000000000e-06, TEST_TOL6);
    TEST(gsl_cdf_chisq_P, (1.0000000000000001e-05,1.3), 3.981353794611e-04, TEST_TOL6);
    TEST(gsl_cdf_chisq_Pinv, (3.9813537946105002e-04,1.3), 1.000000000000e-05, TEST_TOL6);
    TEST(gsl_cdf_chisq_P, (1.0000000000000000e-04,1.3), 1.778373888800e-03, TEST_TOL6);
    TEST(gsl_cdf_chisq_Pinv, (1.7783738888003920e-03,1.3), 1.000000000000e-04, TEST_TOL6);
    TEST(gsl_cdf_chisq_P, (1.0000000000000000e-03,1.3), 7.942296379590e-03, TEST_TOL6);
    TEST(gsl_cdf_chisq_Pinv, (7.9422963795896199e-03,1.3), 1.000000000000e-03, TEST_TOL6);
    TEST(gsl_cdf_chisq_P, (1.0000000000000000e-02,1.3), 3.541413902540e-02, TEST_TOL6);
    TEST(gsl_cdf_chisq_Pinv, (3.5414139025402407e-02,1.3), 1.000000000000e-02, TEST_TOL6);
    TEST(gsl_cdf_chisq_P, (1.0000000000000001e-01,1.3), 1.554268895840e-01, TEST_TOL6);
    TEST(gsl_cdf_chisq_Pinv, (1.5542688958403586e-01,1.3), 1.000000000000e-01, TEST_TOL6);
    TEST(gsl_cdf_chisq_P, (1.0000000000000000e+00,1.3), 5.878620132779e-01, TEST_TOL6);
    TEST(gsl_cdf_chisq_Pinv, (5.8786201327788579e-01,1.3), 1.000000000000e+00, TEST_TOL6);
    TEST(gsl_cdf_chisq_P, (1.0000000000000000e+01,1.3), 9.973867890205e-01, TEST_TOL6);
    TEST(gsl_cdf_chisq_Pinv, (9.9738678902053046e-01,1.3), 1.000000000000e+01, TEST_TOL6);
    TEST(gsl_cdf_chisq_P, (1.0000000000000000e+02,1.3), 1.000000000000e+00, TEST_TOL6);
    TEST(gsl_cdf_chisq