#include #include #include #include #include char *name = "2nthrt (problem 3.4.6)"; double f_if(float x, float n) { float r22869 = x; float r22870 = 1; float r22871 = r22869 + r22870; float r22872 = n; float r22873 = r22870 / r22872; float r22874 = pow(r22871, r22873); float r22875 = pow(r22869, r22873); float r22876 = r22874 - r22875; return r22876; } double f_id(double x, double n) { double r22877 = x; double r22878 = 1; double r22879 = r22877 + r22878; double r22880 = n; double r22881 = r22878 / r22880; double r22882 = pow(r22879, r22881); double r22883 = pow(r22877, r22881); double r22884 = r22882 - r22883; return r22884; } double f_of(float x, float n) { float r22885 = x; float r22886 = log1p(r22885); float r22887 = n; float r22888 = r22886 / r22887; float r22889 = expm1(r22888); float r22890 = 1/2; float r22891 = r22890 / r22887; float r22892 = r22891 / r22887; float r22893 = log(r22885); float r22894 = r22893 * r22893; float r22895 = r22893 / r22887; float r22896 = fma(r22892, r22894, r22895); float r22897 = r22889 - r22896; float r22898 = -305.21681156661464; bool r22899 = r22897 <= r22898; float r22900 = exp(r22888); float r22901 = 1; float r22902 = r22901 / r22887; float r22903 = pow(r22885, r22902); float r22904 = r22900 - r22903; float r22905 = -4.162983411915038e-293; bool r22906 = r22897 <= r22905; float r22907 = r22893 * r22902; float r22908 = fma(r22892, r22894, r22907); float r22909 = r22889 - r22908; float r22910 = 1.106808608513108e-296; bool r22911 = r22897 <= r22910; float r22912 = r22887 * r22887; float r22913 = r22893 / r22912; float r22914 = r22913 / r22885; float r22915 = r22885 * r22885; float r22916 = r22891 / r22915; float r22917 = r22885 * r22887; float r22918 = r22901 / r22917; float r22919 = r22916 - r22918; float r22920 = r22914 - r22919; float r22921 = r22911 ? r22920 : r22897; float r22922 = r22906 ? r22909 : r22921; float r22923 = r22899 ? r22904 : r22922; return r22923; } double f_od(double x, double n) { double r22924 = x; double r22925 = log1p(r22924); double r22926 = n; double r22927 = r22925 / r22926; double r22928 = expm1(r22927); double r22929 = 1/2; double r22930 = r22929 / r22926; double r22931 = r22930 / r22926; double r22932 = log(r22924); double r22933 = r22932 * r22932; double r22934 = r22932 / r22926; double r22935 = fma(r22931, r22933, r22934); double r22936 = r22928 - r22935; double r22937 = -305.21681156661464; bool r22938 = r22936 <= r22937; double r22939 = exp(r22927); double r22940 = 1; double r22941 = r22940 / r22926; double r22942 = pow(r22924, r22941); double r22943 = r22939 - r22942; double r22944 = -4.162983411915038e-293; bool r22945 = r22936 <= r22944; double r22946 = r22932 * r22941; double r22947 = fma(r22931, r22933, r22946); double r22948 = r22928 - r22947; double r22949 = 1.106808608513108e-296; bool r22950 = r22936 <= r22949; double r22951 = r22926 * r22926; double r22952 = r22932 / r22951; double r22953 = r22952 / r22924; double r22954 = r22924 * r22924; double r22955 = r22930 / r22954; double r22956 = r22924 * r22926; double r22957 = r22940 / r22956; double r22958 = r22955 - r22957; double r22959 = r22953 - r22958; double r22960 = r22950 ? r22959 : r22936; double r22961 = r22945 ? r22948 : r22960; double r22962 = r22938 ? r22943 : r22961; return r22962; } 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 r22963, r22964, r22965, r22966, r22967, r22968, r22969, r22970; void setup_mpfr_f_im() { mpfr_set_default_prec(1360); mpfr_init(r22963); mpfr_init_set_str(r22964, "1", 10, MPFR_RNDN); mpfr_init(r22965); mpfr_init(r22966); mpfr_init(r22967); mpfr_init(r22968); mpfr_init(r22969); mpfr_init(r22970); } double f_im(double x, double n) { mpfr_set_d(r22963, x, MPFR_RNDN); ; mpfr_add(r22965, r22963, r22964, MPFR_RNDN); mpfr_set_d(r22966, n, MPFR_RNDN); mpfr_div(r22967, r22964, r22966, MPFR_RNDN); mpfr_pow(r22968, r22965, r22967, MPFR_RNDN); mpfr_pow(r22969, r22963, r22967, MPFR_RNDN); mpfr_sub(r22970, r22968, r22969, MPFR_RNDN); return mpfr_get_d(r22970, MPFR_RNDN); } static mpfr_t r22971, 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; void setup_mpfr_f_fm() { mpfr_set_default_prec(1360); mpfr_init(r22971); mpfr_init(r22972); mpfr_init(r22973); mpfr_init(r22974); mpfr_init(r22975); mpfr_init_set_str(r22976, "1/2", 10, MPFR_RNDN); mpfr_init(r22977); mpfr_init(r22978); mpfr_init(r22979); mpfr_init(r22980); mpfr_init(r22981); mpfr_init(r22982); mpfr_init(r22983); mpfr_init_set_str(r22984, "-305.21681156661464", 10, MPFR_RNDN); mpfr_init(r22985); mpfr_init(r22986); mpfr_init_set_str(r22987, "1", 10, MPFR_RNDN); mpfr_init(r22988); mpfr_init(r22989); mpfr_init(r22990); mpfr_init_set_str(r22991, "-4.162983411915038e-293", 10, MPFR_RNDN); mpfr_init(r22992); mpfr_init(r22993); mpfr_init(r22994); mpfr_init(r22995); mpfr_init_set_str(r22996, "1.106808608513108e-296", 10, MPFR_RNDN); mpfr_init(r22997); mpfr_init(r22998); mpfr_init(r22999); mpfr_init(r23000); mpfr_init(r23001); mpfr_init(r23002); mpfr_init(r23003); mpfr_init(r23004); mpfr_init(r23005); mpfr_init(r23006); mpfr_init(r23007); mpfr_init(r23008); mpfr_init(r23009); } double f_fm(double x, double n) { mpfr_set_d(r22971, x, MPFR_RNDN); mpfr_log1p(r22972, r22971, MPFR_RNDN); mpfr_set_d(r22973, n, MPFR_RNDN); mpfr_div(r22974, r22972, r22973, MPFR_RNDN); mpfr_expm1(r22975, r22974, MPFR_RNDN); ; mpfr_div(r22977, r22976, r22973, MPFR_RNDN); mpfr_div(r22978, r22977, r22973, MPFR_RNDN); mpfr_log(r22979, r22971, MPFR_RNDN); mpfr_mul(r22980, r22979, r22979, MPFR_RNDN); mpfr_div(r22981, r22979, r22973, MPFR_RNDN); mpfr_fma(r22982, r22978, r22980, r22981, MPFR_RNDN); mpfr_sub(r22983, r22975, r22982, MPFR_RNDN); ; mpfr_set_si(r22985, mpfr_cmp(r22983, r22984) <= 0, MPFR_RNDN); mpfr_exp(r22986, r22974, MPFR_RNDN); ; mpfr_div(r22988, r22987, r22973, MPFR_RNDN); mpfr_pow(r22989, r22971, r22988, MPFR_RNDN); mpfr_sub(r22990, r22986, r22989, MPFR_RNDN); ; mpfr_set_si(r22992, mpfr_cmp(r22983, r22991) <= 0, MPFR_RNDN); mpfr_mul(r22993, r22979, r22988, MPFR_RNDN); mpfr_fma(r22994, r22978, r22980, r22993, MPFR_RNDN); mpfr_sub(r22995, r22975, r22994, MPFR_RNDN); ; mpfr_set_si(r22997, mpfr_cmp(r22983, r22996) <= 0, MPFR_RNDN); mpfr_mul(r22998, r22973, r22973, MPFR_RNDN); mpfr_div(r22999, r22979, r22998, MPFR_RNDN); mpfr_div(r23000, r22999, r22971, MPFR_RNDN); mpfr_mul(r23001, r22971, r22971, MPFR_RNDN); mpfr_div(r23002, r22977, r23001, MPFR_RNDN); mpfr_mul(r23003, r22971, r22973, MPFR_RNDN); mpfr_div(r23004, r22987, r23003, MPFR_RNDN); mpfr_sub(r23005, r23002, r23004, MPFR_RNDN); mpfr_sub(r23006, r23000, r23005, MPFR_RNDN); if (mpfr_get_si(r22997, MPFR_RNDN)) { mpfr_set(r23007, r23006, MPFR_RNDN); } else { mpfr_set(r23007, r22983, MPFR_RNDN); }; if (mpfr_get_si(r22992, MPFR_RNDN)) { mpfr_set(r23008, r22995, MPFR_RNDN); } else { mpfr_set(r23008, r23007, MPFR_RNDN); }; if (mpfr_get_si(r22985, MPFR_RNDN)) { mpfr_set(r23009, r22990, MPFR_RNDN); } else { mpfr_set(r23009, r23008, MPFR_RNDN); }; return mpfr_get_d(r23009, MPFR_RNDN); } static mpfr_t r23010, r23011, r23012, r23013, r23014, r23015, r23016, r23017, r23018, r23019, r23020, r23021, r23022, r23023, r23024, r23025, r23026, r23027, r23028, r23029, r23030, r23031, r23032, r23033, r23034, r23035, r23036, r23037, r23038, r23039, r23040, r23041, r23042, r23043, r23044, r23045, r23046, r23047, r23048; void setup_mpfr_f_dm() { mpfr_set_default_prec(1360); mpfr_init(r23010); mpfr_init(r23011); mpfr_init(r23012); mpfr_init(r23013); mpfr_init(r23014); mpfr_init_set_str(r23015, "1/2", 10, MPFR_RNDN); mpfr_init(r23016); mpfr_init(r23017); mpfr_init(r23018); mpfr_init(r23019); mpfr_init(r23020); mpfr_init(r23021); mpfr_init(r23022); mpfr_init_set_str(r23023, "-305.21681156661464", 10, MPFR_RNDN); mpfr_init(r23024); mpfr_init(r23025); mpfr_init_set_str(r23026, "1", 10, MPFR_RNDN); mpfr_init(r23027); mpfr_init(r23028); mpfr_init(r23029); mpfr_init_set_str(r23030, "-4.162983411915038e-293", 10, MPFR_RNDN); mpfr_init(r23031); mpfr_init(r23032); mpfr_init(r23033); mpfr_init(r23034); mpfr_init_set_str(r23035, "1.106808608513108e-296", 10, MPFR_RNDN); mpfr_init(r23036); mpfr_init(r23037); mpfr_init(r23038); 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(r23047); mpfr_init(r23048); } double f_dm(double x, double n) { mpfr_set_d(r23010, x, MPFR_RNDN); mpfr_log1p(r23011, r23010, MPFR_RNDN); mpfr_set_d(r23012, n, MPFR_RNDN); mpfr_div(r23013, r23011, r23012, MPFR_RNDN); mpfr_expm1(r23014, r23013, MPFR_RNDN); ; mpfr_div(r23016, r23015, r23012, MPFR_RNDN); mpfr_div(r23017, r23016, r23012, MPFR_RNDN); mpfr_log(r23018, r23010, MPFR_RNDN); mpfr_mul(r23019, r23018, r23018, MPFR_RNDN); mpfr_div(r23020, r23018, r23012, MPFR_RNDN); mpfr_fma(r23021, r23017, r23019, r23020, MPFR_RNDN); mpfr_sub(r23022, r23014, r23021, MPFR_RNDN); ; mpfr_set_si(r23024, mpfr_cmp(r23022, r23023) <= 0, MPFR_RNDN); mpfr_exp(r23025, r23013, MPFR_RNDN); ; mpfr_div(r23027, r23026, r23012, MPFR_RNDN); mpfr_pow(r23028, r23010, r23027, MPFR_RNDN); mpfr_sub(r23029, r23025, r23028, MPFR_RNDN); ; mpfr_set_si(r23031, mpfr_cmp(r23022, r23030) <= 0, MPFR_RNDN); mpfr_mul(r23032, r23018, r23027, MPFR_RNDN); mpfr_fma(r23033, r23017, r23019, r23032, MPFR_RNDN); mpfr_sub(r23034, r23014, r23033, MPFR_RNDN); ; mpfr_set_si(r23036, mpfr_cmp(r23022, r23035) <= 0, MPFR_RNDN); mpfr_mul(r23037, r23012, r23012, MPFR_RNDN); mpfr_div(r23038, r23018, r23037, MPFR_RNDN); mpfr_div(r23039, r23038, r23010, MPFR_RNDN); mpfr_mul(r23040, r23010, r23010, MPFR_RNDN); mpfr_div(r23041, r23016, r23040, MPFR_RNDN); mpfr_mul(r23042, r23010, r23012, MPFR_RNDN); mpfr_div(r23043, r23026, r23042, MPFR_RNDN); mpfr_sub(r23044, r23041, r23043, MPFR_RNDN); mpfr_sub(r23045, r23039, r23044, MPFR_RNDN); if (mpfr_get_si(r23036, MPFR_RNDN)) { mpfr_set(r23046, r23045, MPFR_RNDN); } else { mpfr_set(r23046, r23022, MPFR_RNDN); }; if (mpfr_get_si(r23031, MPFR_RNDN)) { mpfr_set(r23047, r23034, MPFR_RNDN); } else { mpfr_set(r23047, r23046, MPFR_RNDN); }; if (mpfr_get_si(r23024, MPFR_RNDN)) { mpfr_set(r23048, r23029, MPFR_RNDN); } else { mpfr_set(r23048, r23047, MPFR_RNDN); }; return mpfr_get_d(r23048, MPFR_RNDN); }