#include #include #include #include #include char *name = "2nthrt (problem 3.4.6)"; double f_if(float x, float n) { float r22834 = x; float r22835 = 1; float r22836 = r22834 + r22835; float r22837 = n; float r22838 = r22835 / r22837; float r22839 = pow(r22836, r22838); float r22840 = pow(r22834, r22838); float r22841 = r22839 - r22840; return r22841; } double f_id(double x, double n) { double r22842 = x; double r22843 = 1; double r22844 = r22842 + r22843; double r22845 = n; double r22846 = r22843 / r22845; double r22847 = pow(r22844, r22846); double r22848 = pow(r22842, r22846); double r22849 = r22847 - r22848; return r22849; } double f_of(float x, float n) { float r22850 = x; float r22851 = 0.9992593994234809; bool r22852 = r22850 <= r22851; float r22853 = 1; float r22854 = r22850 + r22853; float r22855 = n; float r22856 = r22853 / r22855; float r22857 = pow(r22854, r22856); float r22858 = r22857 - r22853; float r22859 = 1/2; float r22860 = r22859 / r22855; float r22861 = log(r22850); float r22862 = r22860 * r22861; float r22863 = r22855 / r22861; float r22864 = r22862 / r22863; float r22865 = r22858 - r22864; float r22866 = r22861 / r22855; float r22867 = r22865 - r22866; float r22868 = 1.5081096997880613e+35; bool r22869 = r22850 <= r22868; float r22870 = sqrt(r22854); float r22871 = pow(r22870, r22856); float r22872 = pow(r22850, r22856); float r22873 = sqrt(r22872); float r22874 = r22871 - r22873; float r22875 = r22873 + r22871; float r22876 = r22874 * r22875; float r22877 = exp(r22876); float r22878 = log(r22877); float r22879 = 3.2151683887379773e+78; bool r22880 = r22850 <= r22879; float r22881 = r22856 / r22850; float r22882 = r22850 * r22850; float r22883 = r22860 / r22882; float r22884 = r22881 - r22883; float r22885 = r22855 * r22850; float r22886 = r22855 * r22885; float r22887 = r22861 / r22886; float r22888 = r22884 + r22887; float r22889 = 4.7580896216649e+98; bool r22890 = r22850 <= r22889; float r22891 = 7.847367044553675e+174; bool r22892 = r22850 <= r22891; float r22893 = !r22892; bool r22894 = r22890 || r22893; float r22895 = r22853 / r22885; float r22896 = r22859 / r22850; float r22897 = r22896 / r22885; float r22898 = r22895 - r22897; float r22899 = r22855 * r22855; float r22900 = r22899 * r22850; float r22901 = r22861 / r22900; float r22902 = r22898 + r22901; float r22903 = r22894 ? r22878 : r22902; float r22904 = r22880 ? r22888 : r22903; float r22905 = r22869 ? r22878 : r22904; float r22906 = r22852 ? r22867 : r22905; return r22906; } double f_od(double x, double n) { double r22907 = x; double r22908 = 0.9992593994234809; bool r22909 = r22907 <= r22908; double r22910 = 1; double r22911 = r22907 + r22910; double r22912 = n; double r22913 = r22910 / r22912; double r22914 = pow(r22911, r22913); double r22915 = r22914 - r22910; double r22916 = 1/2; double r22917 = r22916 / r22912; double r22918 = log(r22907); double r22919 = r22917 * r22918; double r22920 = r22912 / r22918; double r22921 = r22919 / r22920; double r22922 = r22915 - r22921; double r22923 = r22918 / r22912; double r22924 = r22922 - r22923; double r22925 = 1.5081096997880613e+35; bool r22926 = r22907 <= r22925; double r22927 = sqrt(r22911); double r22928 = pow(r22927, r22913); double r22929 = pow(r22907, r22913); double r22930 = sqrt(r22929); double r22931 = r22928 - r22930; double r22932 = r22930 + r22928; double r22933 = r22931 * r22932; double r22934 = exp(r22933); double r22935 = log(r22934); double r22936 = 3.2151683887379773e+78; bool r22937 = r22907 <= r22936; double r22938 = r22913 / r22907; double r22939 = r22907 * r22907; double r22940 = r22917 / r22939; double r22941 = r22938 - r22940; double r22942 = r22912 * r22907; double r22943 = r22912 * r22942; double r22944 = r22918 / r22943; double r22945 = r22941 + r22944; double r22946 = 4.7580896216649e+98; bool r22947 = r22907 <= r22946; double r22948 = 7.847367044553675e+174; bool r22949 = r22907 <= r22948; double r22950 = !r22949; bool r22951 = r22947 || r22950; double r22952 = r22910 / r22942; double r22953 = r22916 / r22907; double r22954 = r22953 / r22942; double r22955 = r22952 - r22954; double r22956 = r22912 * r22912; double r22957 = r22956 * r22907; double r22958 = r22918 / r22957; double r22959 = r22955 + r22958; double r22960 = r22951 ? r22935 : r22959; double r22961 = r22937 ? r22945 : r22960; double r22962 = r22926 ? r22935 : r22961; double r22963 = r22909 ? r22924 : r22962; return r22963; } void mpfr_fmod2(mpfr_t r, mpfr_t n, mpfr_t d, mpfr_rnd_t rmd) { mpfr_fmod(r, n, d, rmd); if (mpfr_cmp_ui(r, 0) < 0) mpfr_add(r, r, d, rmd); } static mpfr_t r22964, r22965, r22966, r22967, r22968, r22969, r22970, r22971; void setup_mpfr_f_im() { mpfr_set_default_prec(1360); mpfr_init(r22964); mpfr_init_set_str(r22965, "1", 10, MPFR_RNDN); mpfr_init(r22966); mpfr_init(r22967); mpfr_init(r22968); mpfr_init(r22969); mpfr_init(r22970); mpfr_init(r22971); } double f_im(double x, double n) { mpfr_set_d(r22964, x, MPFR_RNDN); ; mpfr_add(r22966, r22964, r22965, MPFR_RNDN); mpfr_set_d(r22967, n, MPFR_RNDN); mpfr_div(r22968, r22965, r22967, MPFR_RNDN); mpfr_pow(r22969, r22966, r22968, MPFR_RNDN); mpfr_pow(r22970, r22964, r22968, MPFR_RNDN); mpfr_sub(r22971, r22969, r22970, MPFR_RNDN); return mpfr_get_d(r22971, MPFR_RNDN); } static mpfr_t r22972, r22973, r22974, r22975, r22976, r22977, r22978, r22979, r22980, r22981, r22982, r22983, r22984, r22985, r22986, r22987, r22988, r22989, r22990, r22991, r22992, r22993, r22994, r22995, r22996, r22997, r22998, r22999, r23000, r23001, r23002, r23003, r23004, r23005, r23006, r23007, r23008, r23009, r23010, r23011, r23012, r23013, r23014, r23015, r23016, r23017, r23018, r23019, r23020, r23021, r23022, r23023, r23024, r23025, r23026, r23027, r23028; void setup_mpfr_f_fm() { mpfr_set_default_prec(1360); mpfr_init(r22972); mpfr_init_set_str(r22973, "0.9992593994234809", 10, MPFR_RNDN); mpfr_init(r22974); mpfr_init_set_str(r22975, "1", 10, MPFR_RNDN); mpfr_init(r22976); mpfr_init(r22977); mpfr_init(r22978); mpfr_init(r22979); mpfr_init(r22980); mpfr_init_set_str(r22981, "1/2", 10, MPFR_RNDN); mpfr_init(r22982); mpfr_init(r22983); mpfr_init(r22984); mpfr_init(r22985); mpfr_init(r22986); mpfr_init(r22987); mpfr_init(r22988); mpfr_init(r22989); mpfr_init_set_str(r22990, "1.5081096997880613e+35", 10, MPFR_RNDN); mpfr_init(r22991); mpfr_init(r22992); mpfr_init(r22993); mpfr_init(r22994); mpfr_init(r22995); mpfr_init(r22996); mpfr_init(r22997); mpfr_init(r22998); mpfr_init(r22999); mpfr_init(r23000); mpfr_init_set_str(r23001, "3.2151683887379773e+78", 10, MPFR_RNDN); mpfr_init(r23002); mpfr_init(r23003); mpfr_init(r23004); mpfr_init(r23005); mpfr_init(r23006); mpfr_init(r23007); mpfr_init(r23008); mpfr_init(r23009); mpfr_init(r23010); mpfr_init_set_str(r23011, "4.7580896216649e+98", 10, MPFR_RNDN); mpfr_init(r23012); mpfr_init_set_str(r23013, "7.847367044553675e+174", 10, MPFR_RNDN); mpfr_init(r23014); mpfr_init(r23015); mpfr_init(r23016); mpfr_init(r23017); mpfr_init(r23018); mpfr_init(r23019); mpfr_init(r23020); mpfr_init(r23021); mpfr_init(r23022); mpfr_init(r23023); mpfr_init(r23024); mpfr_init(r23025); mpfr_init(r23026); mpfr_init(r23027); mpfr_init(r23028); } double f_fm(double x, double n) { mpfr_set_d(r22972, x, MPFR_RNDN); ; mpfr_set_si(r22974, mpfr_cmp(r22972, r22973) <= 0, MPFR_RNDN); ; mpfr_add(r22976, r22972, r22975, MPFR_RNDN); mpfr_set_d(r22977, n, MPFR_RNDN); mpfr_div(r22978, r22975, r22977, MPFR_RNDN); mpfr_pow(r22979, r22976, r22978, MPFR_RNDN); mpfr_sub(r22980, r22979, r22975, MPFR_RNDN); ; mpfr_div(r22982, r22981, r22977, MPFR_RNDN); mpfr_log(r22983, r22972, MPFR_RNDN); mpfr_mul(r22984, r22982, r22983, MPFR_RNDN); mpfr_div(r22985, r22977, r22983, MPFR_RNDN); mpfr_div(r22986, r22984, r22985, MPFR_RNDN); mpfr_sub(r22987, r22980, r22986, MPFR_RNDN); mpfr_div(r22988, r22983, r22977, MPFR_RNDN); mpfr_sub(r22989, r22987, r22988, MPFR_RNDN); ; mpfr_set_si(r22991, mpfr_cmp(r22972, r22990) <= 0, MPFR_RNDN); mpfr_sqrt(r22992, r22976, MPFR_RNDN); mpfr_pow(r22993, r22992, r22978, MPFR_RNDN); mpfr_pow(r22994, r22972, r22978, MPFR_RNDN); mpfr_sqrt(r22995, r22994, MPFR_RNDN); mpfr_sub(r22996, r22993, r22995, MPFR_RNDN); mpfr_add(r22997, r22995, r22993, MPFR_RNDN); mpfr_mul(r22998, r22996, r22997, MPFR_RNDN); mpfr_exp(r22999, r22998, MPFR_RNDN); mpfr_log(r23000, r22999, MPFR_RNDN); ; mpfr_set_si(r23002, mpfr_cmp(r22972, r23001) <= 0, MPFR_RNDN); mpfr_div(r23003, r22978, r22972, MPFR_RNDN); mpfr_mul(r23004, r22972, r22972, MPFR_RNDN); mpfr_div(r23005, r22982, r23004, MPFR_RNDN); mpfr_sub(r23006, r23003, r23005, MPFR_RNDN); mpfr_mul(r23007, r22977, r22972, MPFR_RNDN); mpfr_mul(r23008, r22977, r23007, MPFR_RNDN); mpfr_div(r23009, r22983, r23008, MPFR_RNDN); mpfr_add(r23010, r23006, r23009, MPFR_RNDN); ; mpfr_set_si(r23012, mpfr_cmp(r22972, r23011) <= 0, MPFR_RNDN); ; mpfr_set_si(r23014, mpfr_cmp(r22972, r23013) <= 0, MPFR_RNDN); mpfr_set_si(r23015, !mpfr_get_si(r23014, MPFR_RNDN), MPFR_RNDN); mpfr_set_si(r23016, mpfr_get_si(r23012, MPFR_RNDN) || mpfr_get_si(r23015, MPFR_RNDN), MPFR_RNDN); mpfr_div(r23017, r22975, r23007, MPFR_RNDN); mpfr_div(r23018, r22981, r22972, MPFR_RNDN); mpfr_div(r23019, r23018, r23007, MPFR_RNDN); mpfr_sub(r23020, r23017, r23019, MPFR_RNDN); mpfr_mul(r23021, r22977, r22977, MPFR_RNDN); mpfr_mul(r23022, r23021, r22972, MPFR_RNDN); mpfr_div(r23023, r22983, r23022, MPFR_RNDN); mpfr_add(r23024, r23020, r23023, MPFR_RNDN); if (mpfr_get_si(r23016, MPFR_RNDN)) { mpfr_set(r23025, r23000, MPFR_RNDN); } else { mpfr_set(r23025, r23024, MPFR_RNDN); }; if (mpfr_get_si(r23002, MPFR_RNDN)) { mpfr_set(r23026, r23010, MPFR_RNDN); } else { mpfr_set(r23026, r23025, MPFR_RNDN); }; if (mpfr_get_si(r22991, MPFR_RNDN)) { mpfr_set(r23027, r23000, MPFR_RNDN); } else { mpfr_set(r23027, r23026, MPFR_RNDN); }; if (mpfr_get_si(r22974, MPFR_RNDN)) { mpfr_set(r23028, r22989, MPFR_RNDN); } else { mpfr_set(r23028, r23027, MPFR_RNDN); }; return mpfr_get_d(r23028, MPFR_RNDN); } static mpfr_t r23029, r23030, r23031, r23032, r23033, r23034, r23035, r23036, r23037, r23038, r23039, r23040, r23041, r23042, r23043, r23044, r23045, r23046, r23047, r23048, r23049, r23050, r23051, r23052, r23053, r23054, r23055, r23056, r23057, r23058, r23059, r23060, r23061, r23062, r23063, r23064, r23065, r23066, r23067, r23068, r23069, r23070, r23071, r23072, r23073, r23074, r23075, r23076, r23077, r23078, r23079, r23080, r23081, r23082, r23083, r23084, r23085; void setup_mpfr_f_dm() { mpfr_set_default_prec(1360); mpfr_init(r23029); mpfr_init_set_str(r23030, "0.9992593994234809", 10, MPFR_RNDN); mpfr_init(r23031); mpfr_init_set_str(r23032, "1", 10, MPFR_RNDN); mpfr_init(r23033); mpfr_init(r23034); mpfr_init(r23035); mpfr_init(r23036); mpfr_init(r23037); mpfr_init_set_str(r23038, "1/2", 10, MPFR_RNDN); mpfr_init(r23039); mpfr_init(r23040); mpfr_init(r23041); mpfr_init(r23042); mpfr_init(r23043); mpfr_init(r23044); mpfr_init(r23045); mpfr_init(r23046); mpfr_init_set_str(r23047, "1.5081096997880613e+35", 10, MPFR_RNDN); mpfr_init(r23048); mpfr_init(r23049); mpfr_init(r23050); mpfr_init(r23051); mpfr_init(r23052); mpfr_init(r23053); mpfr_init(r23054); mpfr_init(r23055); mpfr_init(r23056); mpfr_init(r23057); mpfr_init_set_str(r23058, "3.2151683887379773e+78", 10, MPFR_RNDN); mpfr_init(r23059); mpfr_init(r23060); mpfr_init(r23061); mpfr_init(r23062); mpfr_init(r23063); mpfr_init(r23064); mpfr_init(r23065); mpfr_init(r23066); mpfr_init(r23067); mpfr_init_set_str(r23068, "4.7580896216649e+98", 10, MPFR_RNDN); mpfr_init(r23069); mpfr_init_set_str(r23070, "7.847367044553675e+174", 10, MPFR_RNDN); mpfr_init(r23071); mpfr_init(r23072); mpfr_init(r23073); mpfr_init(r23074); mpfr_init(r23075); mpfr_init(r23076); mpfr_init(r23077); mpfr_init(r23078); mpfr_init(r23079); mpfr_init(r23080); mpfr_init(r23081); mpfr_init(r23082); mpfr_init(r23083); mpfr_init(r23084); mpfr_init(r23085); } double f_dm(double x, double n) { mpfr_set_d(r23029, x, MPFR_RNDN); ; mpfr_set_si(r23031, mpfr_cmp(r23029, r23030) <= 0, MPFR_RNDN); ; mpfr_add(r23033, r23029, r23032, MPFR_RNDN); mpfr_set_d(r23034, n, MPFR_RNDN); mpfr_div(r23035, r23032, r23034, MPFR_RNDN); mpfr_pow(r23036, r23033, r23035, MPFR_RNDN); mpfr_sub(r23037, r23036, r23032, MPFR_RNDN); ; mpfr_div(r23039, r23038, r23034, MPFR_RNDN); mpfr_log(r23040, r23029, MPFR_RNDN); mpfr_mul(r23041, r23039, r23040, MPFR_RNDN); mpfr_div(r23042, r23034, r23040, MPFR_RNDN); mpfr_div(r23043, r23041, r23042, MPFR_RNDN); mpfr_sub(r23044, r23037, r23043, MPFR_RNDN); mpfr_div(r23045, r23040, r23034, MPFR_RNDN); mpfr_sub(r23046, r23044, r23045, MPFR_RNDN); ; mpfr_set_si(r23048, mpfr_cmp(r23029, r23047) <= 0, MPFR_RNDN); mpfr_sqrt(r23049, r23033, MPFR_RNDN); mpfr_pow(r23050, r23049, r23035, MPFR_RNDN); mpfr_pow(r23051, r23029, r23035, MPFR_RNDN); mpfr_sqrt(r23052, r23051, MPFR_RNDN); mpfr_sub(r23053, r23050, r23052, MPFR_RNDN); mpfr_add(r23054, r23052, r23050, MPFR_RNDN); mpfr_mul(r23055, r23053, r23054, MPFR_RNDN); mpfr_exp(r23056, r23055, MPFR_RNDN); mpfr_log(r23057, r23056, MPFR_RNDN); ; mpfr_set_si(r23059, mpfr_cmp(r23029, r23058) <= 0, MPFR_RNDN); mpfr_div(r23060, r23035, r23029, MPFR_RNDN); mpfr_mul(r23061, r23029, r23029, MPFR_RNDN); mpfr_div(r23062, r23039, r23061, MPFR_RNDN); mpfr_sub(r23063, r23060, r23062, MPFR_RNDN); mpfr_mul(r23064, r23034, r23029, MPFR_RNDN); mpfr_mul(r23065, r23034, r23064, MPFR_RNDN); mpfr_div(r23066, r23040, r23065, MPFR_RNDN); mpfr_add(r23067, r23063, r23066, MPFR_RNDN); ; mpfr_set_si(r23069, mpfr_cmp(r23029, r23068) <= 0, MPFR_RNDN); ; mpfr_set_si(r23071, mpfr_cmp(r23029, r23070) <= 0, MPFR_RNDN); mpfr_set_si(r23072, !mpfr_get_si(r23071, MPFR_RNDN), MPFR_RNDN); mpfr_set_si(r23073, mpfr_get_si(r23069, MPFR_RNDN) || mpfr_get_si(r23072, MPFR_RNDN), MPFR_RNDN); mpfr_div(r23074, r23032, r23064, MPFR_RNDN); mpfr_div(r23075, r23038, r23029, MPFR_RNDN); mpfr_div(r23076, r23075, r23064, MPFR_RNDN); mpfr_sub(r23077, r23074, r23076, MPFR_RNDN); mpfr_mul(r23078, r23034, r23034, MPFR_RNDN); mpfr_mul(r23079, r23078, r23029, MPFR_RNDN); mpfr_div(r23080, r23040, r23079, MPFR_RNDN); mpfr_add(r23081, r23077, r23080, MPFR_RNDN); if (mpfr_get_si(r23073, MPFR_RNDN)) { mpfr_set(r23082, r23057, MPFR_RNDN); } else { mpfr_set(r23082, r23081, MPFR_RNDN); }; if (mpfr_get_si(r23059, MPFR_RNDN)) { mpfr_set(r23083, r23067, MPFR_RNDN); } else { mpfr_set(r23083, r23082, MPFR_RNDN); }; if (mpfr_get_si(r23048, MPFR_RNDN)) { mpfr_set(r23084, r23057, MPFR_RNDN); } else { mpfr_set(r23084, r23083, MPFR_RNDN); }; if (mpfr_get_si(r23031, MPFR_RNDN)) { mpfr_set(r23085, r23046, MPFR_RNDN); } else { mpfr_set(r23085, r23084, MPFR_RNDN); }; return mpfr_get_d(r23085, MPFR_RNDN); }