#include #include #include #include #include char *name = "2nthrt (problem 3.4.6)"; double f_if(float x, float n) { float r22854 = x; float r22855 = 1; float r22856 = r22854 + r22855; float r22857 = n; float r22858 = r22855 / r22857; float r22859 = pow(r22856, r22858); float r22860 = pow(r22854, r22858); float r22861 = r22859 - r22860; return r22861; } double f_id(double x, double n) { double r22862 = x; double r22863 = 1; double r22864 = r22862 + r22863; double r22865 = n; double r22866 = r22863 / r22865; double r22867 = pow(r22864, r22866); double r22868 = pow(r22862, r22866); double r22869 = r22867 - r22868; return r22869; } double f_of(float x, float n) { float r22870 = x; float r22871 = log1p(r22870); float r22872 = n; float r22873 = r22871 / r22872; float r22874 = expm1(r22873); float r22875 = 1/2; float r22876 = r22875 / r22872; float r22877 = r22876 / r22872; float r22878 = log(r22870); float r22879 = r22878 * r22878; float r22880 = r22878 / r22872; float r22881 = fma(r22877, r22879, r22880); float r22882 = r22874 - r22881; float r22883 = -1.6164166989065733e-08; bool r22884 = r22882 <= r22883; float r22885 = 1; float r22886 = r22870 + r22885; float r22887 = r22885 / r22872; float r22888 = pow(r22886, r22887); float r22889 = exp(r22880); float r22890 = r22888 - r22889; float r22891 = -5.601555517930431e-298; bool r22892 = r22882 <= r22891; float r22893 = 1.225614366038851e-280; bool r22894 = r22882 <= r22893; float r22895 = r22872 * r22872; float r22896 = r22878 / r22895; float r22897 = r22896 / r22870; float r22898 = r22870 * r22870; float r22899 = r22876 / r22898; float r22900 = r22870 * r22872; float r22901 = r22885 / r22900; float r22902 = r22899 - r22901; float r22903 = r22897 - r22902; float r22904 = r22872 / r22878; float r22905 = r22885 / r22904; float r22906 = fma(r22877, r22879, r22905); float r22907 = r22874 - r22906; float r22908 = r22894 ? r22903 : r22907; float r22909 = r22892 ? r22882 : r22908; float r22910 = r22884 ? r22890 : r22909; return r22910; } double f_od(double x, double n) { double r22911 = x; double r22912 = log1p(r22911); double r22913 = n; double r22914 = r22912 / r22913; double r22915 = expm1(r22914); double r22916 = 1/2; double r22917 = r22916 / r22913; double r22918 = r22917 / r22913; double r22919 = log(r22911); double r22920 = r22919 * r22919; double r22921 = r22919 / r22913; double r22922 = fma(r22918, r22920, r22921); double r22923 = r22915 - r22922; double r22924 = -1.6164166989065733e-08; bool r22925 = r22923 <= r22924; double r22926 = 1; double r22927 = r22911 + r22926; double r22928 = r22926 / r22913; double r22929 = pow(r22927, r22928); double r22930 = exp(r22921); double r22931 = r22929 - r22930; double r22932 = -5.601555517930431e-298; bool r22933 = r22923 <= r22932; double r22934 = 1.225614366038851e-280; bool r22935 = r22923 <= r22934; double r22936 = r22913 * r22913; double r22937 = r22919 / r22936; double r22938 = r22937 / r22911; double r22939 = r22911 * r22911; double r22940 = r22917 / r22939; double r22941 = r22911 * r22913; double r22942 = r22926 / r22941; double r22943 = r22940 - r22942; double r22944 = r22938 - r22943; double r22945 = r22913 / r22919; double r22946 = r22926 / r22945; double r22947 = fma(r22918, r22920, r22946); double r22948 = r22915 - r22947; double r22949 = r22935 ? r22944 : r22948; double r22950 = r22933 ? r22923 : r22949; double r22951 = r22925 ? r22931 : r22950; return r22951; } 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 r22952, r22953, r22954, r22955, r22956, r22957, r22958, r22959; void setup_mpfr_f_im() { mpfr_set_default_prec(1360); mpfr_init(r22952); mpfr_init_set_str(r22953, "1", 10, MPFR_RNDN); mpfr_init(r22954); mpfr_init(r22955); mpfr_init(r22956); mpfr_init(r22957); mpfr_init(r22958); mpfr_init(r22959); } double f_im(double x, double n) { mpfr_set_d(r22952, x, MPFR_RNDN); ; mpfr_add(r22954, r22952, r22953, MPFR_RNDN); mpfr_set_d(r22955, n, MPFR_RNDN); mpfr_div(r22956, r22953, r22955, MPFR_RNDN); mpfr_pow(r22957, r22954, r22956, MPFR_RNDN); mpfr_pow(r22958, r22952, r22956, MPFR_RNDN); mpfr_sub(r22959, r22957, r22958, MPFR_RNDN); return mpfr_get_d(r22959, MPFR_RNDN); } static mpfr_t r22960, r22961, r22962, r22963, r22964, r22965, r22966, r22967, r22968, r22969, r22970, 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; void setup_mpfr_f_fm() { mpfr_set_default_prec(1360); mpfr_init(r22960); mpfr_init(r22961); mpfr_init(r22962); mpfr_init(r22963); mpfr_init(r22964); mpfr_init_set_str(r22965, "1/2", 10, MPFR_RNDN); mpfr_init(r22966); mpfr_init(r22967); mpfr_init(r22968); mpfr_init(r22969); mpfr_init(r22970); mpfr_init(r22971); mpfr_init(r22972); mpfr_init_set_str(r22973, "-1.6164166989065733e-08", 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, "-5.601555517930431e-298", 10, MPFR_RNDN); mpfr_init(r22982); mpfr_init_set_str(r22983, "1.225614366038851e-280", 10, MPFR_RNDN); mpfr_init(r22984); mpfr_init(r22985); mpfr_init(r22986); mpfr_init(r22987); mpfr_init(r22988); mpfr_init(r22989); mpfr_init(r22990); 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); } double f_fm(double x, double n) { mpfr_set_d(r22960, x, MPFR_RNDN); mpfr_log1p(r22961, r22960, MPFR_RNDN); mpfr_set_d(r22962, n, MPFR_RNDN); mpfr_div(r22963, r22961, r22962, MPFR_RNDN); mpfr_expm1(r22964, r22963, MPFR_RNDN); ; mpfr_div(r22966, r22965, r22962, MPFR_RNDN); mpfr_div(r22967, r22966, r22962, MPFR_RNDN); mpfr_log(r22968, r22960, MPFR_RNDN); mpfr_mul(r22969, r22968, r22968, MPFR_RNDN); mpfr_div(r22970, r22968, r22962, MPFR_RNDN); mpfr_fma(r22971, r22967, r22969, r22970, MPFR_RNDN); mpfr_sub(r22972, r22964, r22971, MPFR_RNDN); ; mpfr_set_si(r22974, mpfr_cmp(r22972, r22973) <= 0, MPFR_RNDN); ; mpfr_add(r22976, r22960, r22975, MPFR_RNDN); mpfr_div(r22977, r22975, r22962, MPFR_RNDN); mpfr_pow(r22978, r22976, r22977, MPFR_RNDN); mpfr_exp(r22979, r22970, MPFR_RNDN); mpfr_sub(r22980, r22978, r22979, MPFR_RNDN); ; mpfr_set_si(r22982, mpfr_cmp(r22972, r22981) <= 0, MPFR_RNDN); ; mpfr_set_si(r22984, mpfr_cmp(r22972, r22983) <= 0, MPFR_RNDN); mpfr_mul(r22985, r22962, r22962, MPFR_RNDN); mpfr_div(r22986, r22968, r22985, MPFR_RNDN); mpfr_div(r22987, r22986, r22960, MPFR_RNDN); mpfr_mul(r22988, r22960, r22960, MPFR_RNDN); mpfr_div(r22989, r22966, r22988, MPFR_RNDN); mpfr_mul(r22990, r22960, r22962, MPFR_RNDN); mpfr_div(r22991, r22975, r22990, MPFR_RNDN); mpfr_sub(r22992, r22989, r22991, MPFR_RNDN); mpfr_sub(r22993, r22987, r22992, MPFR_RNDN); mpfr_div(r22994, r22962, r22968, MPFR_RNDN); mpfr_div(r22995, r22975, r22994, MPFR_RNDN); mpfr_fma(r22996, r22967, r22969, r22995, MPFR_RNDN); mpfr_sub(r22997, r22964, r22996, MPFR_RNDN); if (mpfr_get_si(r22984, MPFR_RNDN)) { mpfr_set(r22998, r22993, MPFR_RNDN); } else { mpfr_set(r22998, r22997, MPFR_RNDN); }; if (mpfr_get_si(r22982, MPFR_RNDN)) { mpfr_set(r22999, r22972, MPFR_RNDN); } else { mpfr_set(r22999, r22998, MPFR_RNDN); }; if (mpfr_get_si(r22974, MPFR_RNDN)) { mpfr_set(r23000, r22980, MPFR_RNDN); } else { mpfr_set(r23000, r22999, MPFR_RNDN); }; return mpfr_get_d(r23000, MPFR_RNDN); } static mpfr_t 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, r23029, r23030, r23031, r23032, r23033, r23034, r23035, r23036, r23037, r23038, r23039, r23040, r23041; void setup_mpfr_f_dm() { mpfr_set_default_prec(1360); mpfr_init(r23001); mpfr_init(r23002); mpfr_init(r23003); mpfr_init(r23004); mpfr_init(r23005); mpfr_init_set_str(r23006, "1/2", 10, MPFR_RNDN); mpfr_init(r23007); mpfr_init(r23008); mpfr_init(r23009); mpfr_init(r23010); mpfr_init(r23011); mpfr_init(r23012); mpfr_init(r23013); mpfr_init_set_str(r23014, "-1.6164166989065733e-08", 10, MPFR_RNDN); mpfr_init(r23015); mpfr_init_set_str(r23016, "1", 10, MPFR_RNDN); mpfr_init(r23017); mpfr_init(r23018); mpfr_init(r23019); mpfr_init(r23020); mpfr_init(r23021); mpfr_init_set_str(r23022, "-5.601555517930431e-298", 10, MPFR_RNDN); mpfr_init(r23023); mpfr_init_set_str(r23024, "1.225614366038851e-280", 10, MPFR_RNDN); mpfr_init(r23025); mpfr_init(r23026); mpfr_init(r23027); mpfr_init(r23028); mpfr_init(r23029); mpfr_init(r23030); mpfr_init(r23031); mpfr_init(r23032); mpfr_init(r23033); mpfr_init(r23034); mpfr_init(r23035); mpfr_init(r23036); mpfr_init(r23037); mpfr_init(r23038); mpfr_init(r23039); mpfr_init(r23040); mpfr_init(r23041); } double f_dm(double x, double n) { mpfr_set_d(r23001, x, MPFR_RNDN); mpfr_log1p(r23002, r23001, MPFR_RNDN); mpfr_set_d(r23003, n, MPFR_RNDN); mpfr_div(r23004, r23002, r23003, MPFR_RNDN); mpfr_expm1(r23005, r23004, MPFR_RNDN); ; mpfr_div(r23007, r23006, r23003, MPFR_RNDN); mpfr_div(r23008, r23007, r23003, MPFR_RNDN); mpfr_log(r23009, r23001, MPFR_RNDN); mpfr_mul(r23010, r23009, r23009, MPFR_RNDN); mpfr_div(r23011, r23009, r23003, MPFR_RNDN); mpfr_fma(r23012, r23008, r23010, r23011, MPFR_RNDN); mpfr_sub(r23013, r23005, r23012, MPFR_RNDN); ; mpfr_set_si(r23015, mpfr_cmp(r23013, r23014) <= 0, MPFR_RNDN); ; mpfr_add(r23017, r23001, r23016, MPFR_RNDN); mpfr_div(r23018, r23016, r23003, MPFR_RNDN); mpfr_pow(r23019, r23017, r23018, MPFR_RNDN); mpfr_exp(r23020, r23011, MPFR_RNDN); mpfr_sub(r23021, r23019, r23020, MPFR_RNDN); ; mpfr_set_si(r23023, mpfr_cmp(r23013, r23022) <= 0, MPFR_RNDN); ; mpfr_set_si(r23025, mpfr_cmp(r23013, r23024) <= 0, MPFR_RNDN); mpfr_mul(r23026, r23003, r23003, MPFR_RNDN); mpfr_div(r23027, r23009, r23026, MPFR_RNDN); mpfr_div(r23028, r23027, r23001, MPFR_RNDN); mpfr_mul(r23029, r23001, r23001, MPFR_RNDN); mpfr_div(r23030, r23007, r23029, MPFR_RNDN); mpfr_mul(r23031, r23001, r23003, MPFR_RNDN); mpfr_div(r23032, r23016, r23031, MPFR_RNDN); mpfr_sub(r23033, r23030, r23032, MPFR_RNDN); mpfr_sub(r23034, r23028, r23033, MPFR_RNDN); mpfr_div(r23035, r23003, r23009, MPFR_RNDN); mpfr_div(r23036, r23016, r23035, MPFR_RNDN); mpfr_fma(r23037, r23008, r23010, r23036, MPFR_RNDN); mpfr_sub(r23038, r23005, r23037, MPFR_RNDN); if (mpfr_get_si(r23025, MPFR_RNDN)) { mpfr_set(r23039, r23034, MPFR_RNDN); } else { mpfr_set(r23039, r23038, MPFR_RNDN); }; if (mpfr_get_si(r23023, MPFR_RNDN)) { mpfr_set(r23040, r23013, MPFR_RNDN); } else { mpfr_set(r23040, r23039, MPFR_RNDN); }; if (mpfr_get_si(r23015, MPFR_RNDN)) { mpfr_set(r23041, r23021, MPFR_RNDN); } else { mpfr_set(r23041, r23040, MPFR_RNDN); }; return mpfr_get_d(r23041, MPFR_RNDN); }