#include #include #include #include #include char *name = "2nthrt (problem 3.4.6)"; double f_if(float x, float n) { float r22822 = x; float r22823 = 1; float r22824 = r22822 + r22823; float r22825 = n; float r22826 = r22823 / r22825; float r22827 = pow(r22824, r22826); float r22828 = pow(r22822, r22826); float r22829 = r22827 - r22828; return r22829; } double f_id(double x, double n) { double r22830 = x; double r22831 = 1; double r22832 = r22830 + r22831; double r22833 = n; double r22834 = r22831 / r22833; double r22835 = pow(r22832, r22834); double r22836 = pow(r22830, r22834); double r22837 = r22835 - r22836; return r22837; } double f_of(float x, float n) { float r22838 = x; float r22839 = log1p(r22838); float r22840 = n; float r22841 = r22839 / r22840; float r22842 = expm1(r22841); float r22843 = 1/2; float r22844 = r22843 / r22840; float r22845 = r22844 / r22840; float r22846 = log(r22838); float r22847 = r22846 * r22846; float r22848 = r22846 / r22840; float r22849 = fma(r22845, r22847, r22848); float r22850 = r22842 - r22849; float r22851 = -2.3184003274025894e-14; bool r22852 = r22850 <= r22851; float r22853 = exp(r22841); float r22854 = 1; float r22855 = r22854 / r22840; float r22856 = pow(r22838, r22855); float r22857 = r22853 - r22856; float r22858 = -2.826310767158118e-303; bool r22859 = r22850 <= r22858; float r22860 = r22855 * r22846; float r22861 = fma(r22845, r22847, r22860); float r22862 = r22842 - r22861; float r22863 = 6.666061393635224e-307; bool r22864 = r22850 <= r22863; float r22865 = r22838 * r22840; float r22866 = r22854 / r22865; float r22867 = r22846 / r22838; float r22868 = r22840 * r22840; float r22869 = r22867 / r22868; float r22870 = r22843 / r22838; float r22871 = r22870 / r22865; float r22872 = r22869 - r22871; float r22873 = r22866 + r22872; float r22874 = cbrt(r22842); float r22875 = r22874 * r22874; float r22876 = -r22849; float r22877 = fma(r22875, r22874, r22876); float r22878 = r22864 ? r22873 : r22877; float r22879 = r22859 ? r22862 : r22878; float r22880 = r22852 ? r22857 : r22879; return r22880; } double f_od(double x, double n) { double r22881 = x; double r22882 = log1p(r22881); double r22883 = n; double r22884 = r22882 / r22883; double r22885 = expm1(r22884); double r22886 = 1/2; double r22887 = r22886 / r22883; double r22888 = r22887 / r22883; double r22889 = log(r22881); double r22890 = r22889 * r22889; double r22891 = r22889 / r22883; double r22892 = fma(r22888, r22890, r22891); double r22893 = r22885 - r22892; double r22894 = -2.3184003274025894e-14; bool r22895 = r22893 <= r22894; double r22896 = exp(r22884); double r22897 = 1; double r22898 = r22897 / r22883; double r22899 = pow(r22881, r22898); double r22900 = r22896 - r22899; double r22901 = -2.826310767158118e-303; bool r22902 = r22893 <= r22901; double r22903 = r22898 * r22889; double r22904 = fma(r22888, r22890, r22903); double r22905 = r22885 - r22904; double r22906 = 6.666061393635224e-307; bool r22907 = r22893 <= r22906; double r22908 = r22881 * r22883; double r22909 = r22897 / r22908; double r22910 = r22889 / r22881; double r22911 = r22883 * r22883; double r22912 = r22910 / r22911; double r22913 = r22886 / r22881; double r22914 = r22913 / r22908; double r22915 = r22912 - r22914; double r22916 = r22909 + r22915; double r22917 = cbrt(r22885); double r22918 = r22917 * r22917; double r22919 = -r22892; double r22920 = fma(r22918, r22917, r22919); double r22921 = r22907 ? r22916 : r22920; double r22922 = r22902 ? r22905 : r22921; double r22923 = r22895 ? r22900 : r22922; return r22923; } 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 r22924, r22925, r22926, r22927, r22928, r22929, r22930, r22931; void setup_mpfr_f_im() { mpfr_set_default_prec(1424); mpfr_init(r22924); mpfr_init_set_str(r22925, "1", 10, MPFR_RNDN); mpfr_init(r22926); mpfr_init(r22927); mpfr_init(r22928); mpfr_init(r22929); mpfr_init(r22930); mpfr_init(r22931); } double f_im(double x, double n) { mpfr_set_d(r22924, x, MPFR_RNDN); ; mpfr_add(r22926, r22924, r22925, MPFR_RNDN); mpfr_set_d(r22927, n, MPFR_RNDN); mpfr_div(r22928, r22925, r22927, MPFR_RNDN); mpfr_pow(r22929, r22926, r22928, MPFR_RNDN); mpfr_pow(r22930, r22924, r22928, MPFR_RNDN); mpfr_sub(r22931, r22929, r22930, MPFR_RNDN); return mpfr_get_d(r22931, MPFR_RNDN); } static mpfr_t r22932, r22933, r22934, r22935, r22936, r22937, r22938, r22939, r22940, r22941, r22942, r22943, r22944, r22945, r22946, r22947, r22948, r22949, r22950, r22951, r22952, r22953, r22954, r22955, r22956, r22957, r22958, r22959, r22960, r22961, r22962, r22963, r22964, r22965, r22966, r22967, r22968, r22969, r22970, r22971, r22972, r22973, r22974; void setup_mpfr_f_fm() { mpfr_set_default_prec(1424); mpfr_init(r22932); mpfr_init(r22933); mpfr_init(r22934); mpfr_init(r22935); mpfr_init(r22936); mpfr_init_set_str(r22937, "1/2", 10, MPFR_RNDN); mpfr_init(r22938); mpfr_init(r22939); mpfr_init(r22940); mpfr_init(r22941); mpfr_init(r22942); mpfr_init(r22943); mpfr_init(r22944); mpfr_init_set_str(r22945, "-2.3184003274025894e-14", 10, MPFR_RNDN); mpfr_init(r22946); mpfr_init(r22947); mpfr_init_set_str(r22948, "1", 10, MPFR_RNDN); mpfr_init(r22949); mpfr_init(r22950); mpfr_init(r22951); mpfr_init_set_str(r22952, "-2.826310767158118e-303", 10, MPFR_RNDN); mpfr_init(r22953); mpfr_init(r22954); mpfr_init(r22955); mpfr_init(r22956); mpfr_init_set_str(r22957, "6.666061393635224e-307", 10, MPFR_RNDN); mpfr_init(r22958); mpfr_init(r22959); mpfr_init(r22960); mpfr_init(r22961); mpfr_init(r22962); mpfr_init(r22963); mpfr_init(r22964); mpfr_init(r22965); mpfr_init(r22966); mpfr_init(r22967); mpfr_init(r22968); mpfr_init(r22969); mpfr_init(r22970); mpfr_init(r22971); mpfr_init(r22972); mpfr_init(r22973); mpfr_init(r22974); } double f_fm(double x, double n) { mpfr_set_d(r22932, x, MPFR_RNDN); mpfr_log1p(r22933, r22932, MPFR_RNDN); mpfr_set_d(r22934, n, MPFR_RNDN); mpfr_div(r22935, r22933, r22934, MPFR_RNDN); mpfr_expm1(r22936, r22935, MPFR_RNDN); ; mpfr_div(r22938, r22937, r22934, MPFR_RNDN); mpfr_div(r22939, r22938, r22934, MPFR_RNDN); mpfr_log(r22940, r22932, MPFR_RNDN); mpfr_mul(r22941, r22940, r22940, MPFR_RNDN); mpfr_div(r22942, r22940, r22934, MPFR_RNDN); mpfr_fma(r22943, r22939, r22941, r22942, MPFR_RNDN); mpfr_sub(r22944, r22936, r22943, MPFR_RNDN); ; mpfr_set_si(r22946, mpfr_cmp(r22944, r22945) <= 0, MPFR_RNDN); mpfr_exp(r22947, r22935, MPFR_RNDN); ; mpfr_div(r22949, r22948, r22934, MPFR_RNDN); mpfr_pow(r22950, r22932, r22949, MPFR_RNDN); mpfr_sub(r22951, r22947, r22950, MPFR_RNDN); ; mpfr_set_si(r22953, mpfr_cmp(r22944, r22952) <= 0, MPFR_RNDN); mpfr_mul(r22954, r22949, r22940, MPFR_RNDN); mpfr_fma(r22955, r22939, r22941, r22954, MPFR_RNDN); mpfr_sub(r22956, r22936, r22955, MPFR_RNDN); ; mpfr_set_si(r22958, mpfr_cmp(r22944, r22957) <= 0, MPFR_RNDN); mpfr_mul(r22959, r22932, r22934, MPFR_RNDN); mpfr_div(r22960, r22948, r22959, MPFR_RNDN); mpfr_div(r22961, r22940, r22932, MPFR_RNDN); mpfr_mul(r22962, r22934, r22934, MPFR_RNDN); mpfr_div(r22963, r22961, r22962, MPFR_RNDN); mpfr_div(r22964, r22937, r22932, MPFR_RNDN); mpfr_div(r22965, r22964, r22959, MPFR_RNDN); mpfr_sub(r22966, r22963, r22965, MPFR_RNDN); mpfr_add(r22967, r22960, r22966, MPFR_RNDN); mpfr_cbrt(r22968, r22936, MPFR_RNDN); mpfr_mul(r22969, r22968, r22968, MPFR_RNDN); mpfr_neg(r22970, r22943, MPFR_RNDN); mpfr_fma(r22971, r22969, r22968, r22970, MPFR_RNDN); if (mpfr_get_si(r22958, MPFR_RNDN)) { mpfr_set(r22972, r22967, MPFR_RNDN); } else { mpfr_set(r22972, r22971, MPFR_RNDN); }; if (mpfr_get_si(r22953, MPFR_RNDN)) { mpfr_set(r22973, r22956, MPFR_RNDN); } else { mpfr_set(r22973, r22972, MPFR_RNDN); }; if (mpfr_get_si(r22946, MPFR_RNDN)) { mpfr_set(r22974, r22951, MPFR_RNDN); } else { mpfr_set(r22974, r22973, MPFR_RNDN); }; return mpfr_get_d(r22974, MPFR_RNDN); } static mpfr_t 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; void setup_mpfr_f_dm() { mpfr_set_default_prec(1424); mpfr_init(r22975); mpfr_init(r22976); mpfr_init(r22977); mpfr_init(r22978); mpfr_init(r22979); mpfr_init_set_str(r22980, "1/2", 10, MPFR_RNDN); mpfr_init(r22981); mpfr_init(r22982); mpfr_init(r22983); mpfr_init(r22984); mpfr_init(r22985); mpfr_init(r22986); mpfr_init(r22987); mpfr_init_set_str(r22988, "-2.3184003274025894e-14", 10, MPFR_RNDN); mpfr_init(r22989); mpfr_init(r22990); mpfr_init_set_str(r22991, "1", 10, MPFR_RNDN); mpfr_init(r22992); mpfr_init(r22993); mpfr_init(r22994); mpfr_init_set_str(r22995, "-2.826310767158118e-303", 10, MPFR_RNDN); mpfr_init(r22996); mpfr_init(r22997); mpfr_init(r22998); mpfr_init(r22999); mpfr_init_set_str(r23000, "6.666061393635224e-307", 10, MPFR_RNDN); 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); mpfr_init(r23010); mpfr_init(r23011); mpfr_init(r23012); mpfr_init(r23013); mpfr_init(r23014); mpfr_init(r23015); mpfr_init(r23016); mpfr_init(r23017); } double f_dm(double x, double n) { mpfr_set_d(r22975, x, MPFR_RNDN); mpfr_log1p(r22976, r22975, MPFR_RNDN); mpfr_set_d(r22977, n, MPFR_RNDN); mpfr_div(r22978, r22976, r22977, MPFR_RNDN); mpfr_expm1(r22979, r22978, MPFR_RNDN); ; mpfr_div(r22981, r22980, r22977, MPFR_RNDN); mpfr_div(r22982, r22981, r22977, MPFR_RNDN); mpfr_log(r22983, r22975, MPFR_RNDN); mpfr_mul(r22984, r22983, r22983, MPFR_RNDN); mpfr_div(r22985, r22983, r22977, MPFR_RNDN); mpfr_fma(r22986, r22982, r22984, r22985, MPFR_RNDN); mpfr_sub(r22987, r22979, r22986, MPFR_RNDN); ; mpfr_set_si(r22989, mpfr_cmp(r22987, r22988) <= 0, MPFR_RNDN); mpfr_exp(r22990, r22978, MPFR_RNDN); ; mpfr_div(r22992, r22991, r22977, MPFR_RNDN); mpfr_pow(r22993, r22975, r22992, MPFR_RNDN); mpfr_sub(r22994, r22990, r22993, MPFR_RNDN); ; mpfr_set_si(r22996, mpfr_cmp(r22987, r22995) <= 0, MPFR_RNDN); mpfr_mul(r22997, r22992, r22983, MPFR_RNDN); mpfr_fma(r22998, r22982, r22984, r22997, MPFR_RNDN); mpfr_sub(r22999, r22979, r22998, MPFR_RNDN); ; mpfr_set_si(r23001, mpfr_cmp(r22987, r23000) <= 0, MPFR_RNDN); mpfr_mul(r23002, r22975, r22977, MPFR_RNDN); mpfr_div(r23003, r22991, r23002, MPFR_RNDN); mpfr_div(r23004, r22983, r22975, MPFR_RNDN); mpfr_mul(r23005, r22977, r22977, MPFR_RNDN); mpfr_div(r23006, r23004, r23005, MPFR_RNDN); mpfr_div(r23007, r22980, r22975, MPFR_RNDN); mpfr_div(r23008, r23007, r23002, MPFR_RNDN); mpfr_sub(r23009, r23006, r23008, MPFR_RNDN); mpfr_add(r23010, r23003, r23009, MPFR_RNDN); mpfr_cbrt(r23011, r22979, MPFR_RNDN); mpfr_mul(r23012, r23011, r23011, MPFR_RNDN); mpfr_neg(r23013, r22986, MPFR_RNDN); mpfr_fma(r23014, r23012, r23011, r23013, MPFR_RNDN); if (mpfr_get_si(r23001, MPFR_RNDN)) { mpfr_set(r23015, r23010, MPFR_RNDN); } else { mpfr_set(r23015, r23014, MPFR_RNDN); }; if (mpfr_get_si(r22996, MPFR_RNDN)) { mpfr_set(r23016, r22999, MPFR_RNDN); } else { mpfr_set(r23016, r23015, MPFR_RNDN); }; if (mpfr_get_si(r22989, MPFR_RNDN)) { mpfr_set(r23017, r22994, MPFR_RNDN); } else { mpfr_set(r23017, r23016, MPFR_RNDN); }; return mpfr_get_d(r23017, MPFR_RNDN); }