#include #include #include #include #include char *name = "2tan (problem 3.3.2)"; double f_if(float x, float eps) { float r21889 = x; float r21890 = eps; float r21891 = r21889 + r21890; float r21892 = tan(r21891); float r21893 = tan(r21889); float r21894 = r21892 - r21893; return r21894; } double f_id(double x, double eps) { double r21895 = x; double r21896 = eps; double r21897 = r21895 + r21896; double r21898 = tan(r21897); double r21899 = tan(r21895); double r21900 = r21898 - r21899; return r21900; } double f_of(float x, float eps) { float r21901 = eps; float r21902 = -3.088211040495327e-21; bool r21903 = r21901 <= r21902; float r21904 = x; float r21905 = tan(r21904); float r21906 = tan(r21901); float r21907 = r21905 + r21906; float r21908 = cos(r21904); float r21909 = r21907 * r21908; float r21910 = r21909 * r21909; float r21911 = 1; float r21912 = r21905 * r21906; float r21913 = r21911 - r21912; float r21914 = sin(r21904); float r21915 = r21913 * r21914; float r21916 = r21915 * r21915; float r21917 = r21910 - r21916; float r21918 = r21909 + r21915; float r21919 = r21917 / r21918; float r21920 = r21913 * r21908; float r21921 = r21919 / r21920; float r21922 = 1.4236706257213858e-17; bool r21923 = r21901 <= r21922; float r21924 = 3; float r21925 = pow(r21901, r21924); float r21926 = 2; float r21927 = pow(r21904, r21926); float r21928 = r21925 * r21927; float r21929 = pow(r21901, r21926); float r21930 = r21929 * r21904; float r21931 = r21928 + r21930; float r21932 = r21901 + r21931; float r21933 = pow(r21905, r21924); float r21934 = pow(r21906, r21924); float r21935 = r21933 + r21934; float r21936 = r21906 * r21906; float r21937 = r21906 - r21905; float r21938 = r21905 * r21937; float r21939 = r21936 - r21938; float r21940 = r21939 * r21913; float r21941 = r21935 / r21940; float r21942 = r21941 - r21905; float r21943 = r21923 ? r21932 : r21942; float r21944 = r21903 ? r21921 : r21943; return r21944; } double f_od(double x, double eps) { double r21945 = eps; double r21946 = -3.088211040495327e-21; bool r21947 = r21945 <= r21946; double r21948 = x; double r21949 = tan(r21948); double r21950 = tan(r21945); double r21951 = r21949 + r21950; double r21952 = cos(r21948); double r21953 = r21951 * r21952; double r21954 = r21953 * r21953; double r21955 = 1; double r21956 = r21949 * r21950; double r21957 = r21955 - r21956; double r21958 = sin(r21948); double r21959 = r21957 * r21958; double r21960 = r21959 * r21959; double r21961 = r21954 - r21960; double r21962 = r21953 + r21959; double r21963 = r21961 / r21962; double r21964 = r21957 * r21952; double r21965 = r21963 / r21964; double r21966 = 1.4236706257213858e-17; bool r21967 = r21945 <= r21966; double r21968 = 3; double r21969 = pow(r21945, r21968); double r21970 = 2; double r21971 = pow(r21948, r21970); double r21972 = r21969 * r21971; double r21973 = pow(r21945, r21970); double r21974 = r21973 * r21948; double r21975 = r21972 + r21974; double r21976 = r21945 + r21975; double r21977 = pow(r21949, r21968); double r21978 = pow(r21950, r21968); double r21979 = r21977 + r21978; double r21980 = r21950 * r21950; double r21981 = r21950 - r21949; double r21982 = r21949 * r21981; double r21983 = r21980 - r21982; double r21984 = r21983 * r21957; double r21985 = r21979 / r21984; double r21986 = r21985 - r21949; double r21987 = r21967 ? r21976 : r21986; double r21988 = r21947 ? r21965 : r21987; return r21988; } 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 r21989, r21990, r21991, r21992, r21993, r21994; void setup_mpfr_f_im() { mpfr_set_default_prec(2448); mpfr_init(r21989); mpfr_init(r21990); mpfr_init(r21991); mpfr_init(r21992); mpfr_init(r21993); mpfr_init(r21994); } double f_im(double x, double eps) { mpfr_set_d(r21989, x, MPFR_RNDN); mpfr_set_d(r21990, eps, MPFR_RNDN); mpfr_add(r21991, r21989, r21990, MPFR_RNDN); mpfr_tan(r21992, r21991, MPFR_RNDN); mpfr_tan(r21993, r21989, MPFR_RNDN); mpfr_sub(r21994, r21992, r21993, MPFR_RNDN); return mpfr_get_d(r21994, MPFR_RNDN); } static mpfr_t r21995, r21996, r21997, r21998, r21999, r22000, r22001, r22002, r22003, r22004, r22005, r22006, r22007, r22008, r22009, r22010, r22011, r22012, r22013, r22014, r22015, r22016, r22017, r22018, r22019, r22020, r22021, r22022, r22023, r22024, r22025, r22026, r22027, r22028, r22029, r22030, r22031, r22032, r22033, r22034, r22035, r22036, r22037, r22038; void setup_mpfr_f_fm() { mpfr_set_default_prec(2448); mpfr_init(r21995); mpfr_init_set_str(r21996, "-3.088211040495327e-21", 10, MPFR_RNDN); mpfr_init(r21997); mpfr_init(r21998); mpfr_init(r21999); mpfr_init(r22000); mpfr_init(r22001); mpfr_init(r22002); mpfr_init(r22003); mpfr_init(r22004); mpfr_init_set_str(r22005, "1", 10, MPFR_RNDN); mpfr_init(r22006); mpfr_init(r22007); mpfr_init(r22008); mpfr_init(r22009); mpfr_init(r22010); mpfr_init(r22011); mpfr_init(r22012); mpfr_init(r22013); mpfr_init(r22014); mpfr_init(r22015); mpfr_init_set_str(r22016, "1.4236706257213858e-17", 10, MPFR_RNDN); mpfr_init(r22017); mpfr_init_set_str(r22018, "3", 10, MPFR_RNDN); mpfr_init(r22019); mpfr_init_set_str(r22020, "2", 10, MPFR_RNDN); mpfr_init(r22021); mpfr_init(r22022); mpfr_init(r22023); mpfr_init(r22024); mpfr_init(r22025); mpfr_init(r22026); mpfr_init(r22027); mpfr_init(r22028); mpfr_init(r22029); mpfr_init(r22030); mpfr_init(r22031); mpfr_init(r22032); mpfr_init(r22033); mpfr_init(r22034); mpfr_init(r22035); mpfr_init(r22036); mpfr_init(r22037); mpfr_init(r22038); } double f_fm(double x, double eps) { mpfr_set_d(r21995, eps, MPFR_RNDN); ; mpfr_set_si(r21997, mpfr_cmp(r21995, r21996) <= 0, MPFR_RNDN); mpfr_set_d(r21998, x, MPFR_RNDN); mpfr_tan(r21999, r21998, MPFR_RNDN); mpfr_tan(r22000, r21995, MPFR_RNDN); mpfr_add(r22001, r21999, r22000, MPFR_RNDN); mpfr_cos(r22002, r21998, MPFR_RNDN); mpfr_mul(r22003, r22001, r22002, MPFR_RNDN); mpfr_mul(r22004, r22003, r22003, MPFR_RNDN); ; mpfr_mul(r22006, r21999, r22000, MPFR_RNDN); mpfr_sub(r22007, r22005, r22006, MPFR_RNDN); mpfr_sin(r22008, r21998, MPFR_RNDN); mpfr_mul(r22009, r22007, r22008, MPFR_RNDN); mpfr_mul(r22010, r22009, r22009, MPFR_RNDN); mpfr_sub(r22011, r22004, r22010, MPFR_RNDN); mpfr_add(r22012, r22003, r22009, MPFR_RNDN); mpfr_div(r22013, r22011, r22012, MPFR_RNDN); mpfr_mul(r22014, r22007, r22002, MPFR_RNDN); mpfr_div(r22015, r22013, r22014, MPFR_RNDN); ; mpfr_set_si(r22017, mpfr_cmp(r21995, r22016) <= 0, MPFR_RNDN); ; mpfr_pow(r22019, r21995, r22018, MPFR_RNDN); ; mpfr_pow(r22021, r21998, r22020, MPFR_RNDN); mpfr_mul(r22022, r22019, r22021, MPFR_RNDN); mpfr_pow(r22023, r21995, r22020, MPFR_RNDN); mpfr_mul(r22024, r22023, r21998, MPFR_RNDN); mpfr_add(r22025, r22022, r22024, MPFR_RNDN); mpfr_add(r22026, r21995, r22025, MPFR_RNDN); mpfr_pow(r22027, r21999, r22018, MPFR_RNDN); mpfr_pow(r22028, r22000, r22018, MPFR_RNDN); mpfr_add(r22029, r22027, r22028, MPFR_RNDN); mpfr_mul(r22030, r22000, r22000, MPFR_RNDN); mpfr_sub(r22031, r22000, r21999, MPFR_RNDN); mpfr_mul(r22032, r21999, r22031, MPFR_RNDN); mpfr_sub(r22033, r22030, r22032, MPFR_RNDN); mpfr_mul(r22034, r22033, r22007, MPFR_RNDN); mpfr_div(r22035, r22029, r22034, MPFR_RNDN); mpfr_sub(r22036, r22035, r21999, MPFR_RNDN); if (mpfr_get_si(r22017, MPFR_RNDN)) { mpfr_set(r22037, r22026, MPFR_RNDN); } else { mpfr_set(r22037, r22036, MPFR_RNDN); }; if (mpfr_get_si(r21997, MPFR_RNDN)) { mpfr_set(r22038, r22015, MPFR_RNDN); } else { mpfr_set(r22038, r22037, MPFR_RNDN); }; return mpfr_get_d(r22038, MPFR_RNDN); } static mpfr_t r22039, r22040, r22041, r22042, r22043, r22044, r22045, r22046, r22047, r22048, r22049, r22050, r22051, r22052, r22053, r22054, r22055, r22056, r22057, r22058, r22059, r22060, r22061, r22062, r22063, r22064, r22065, r22066, r22067, r22068, r22069, r22070, r22071, r22072, r22073, r22074, r22075, r22076, r22077, r22078, r22079, r22080, r22081, r22082; void setup_mpfr_f_dm() { mpfr_set_default_prec(2448); mpfr_init(r22039); mpfr_init_set_str(r22040, "-3.088211040495327e-21", 10, MPFR_RNDN); mpfr_init(r22041); mpfr_init(r22042); mpfr_init(r22043); mpfr_init(r22044); mpfr_init(r22045); mpfr_init(r22046); mpfr_init(r22047); mpfr_init(r22048); mpfr_init_set_str(r22049, "1", 10, MPFR_RNDN); mpfr_init(r22050); mpfr_init(r22051); mpfr_init(r22052); mpfr_init(r22053); mpfr_init(r22054); mpfr_init(r22055); mpfr_init(r22056); mpfr_init(r22057); mpfr_init(r22058); mpfr_init(r22059); mpfr_init_set_str(r22060, "1.4236706257213858e-17", 10, MPFR_RNDN); mpfr_init(r22061); mpfr_init_set_str(r22062, "3", 10, MPFR_RNDN); mpfr_init(r22063); mpfr_init_set_str(r22064, "2", 10, MPFR_RNDN); mpfr_init(r22065); mpfr_init(r22066); mpfr_init(r22067); mpfr_init(r22068); mpfr_init(r22069); mpfr_init(r22070); mpfr_init(r22071); mpfr_init(r22072); mpfr_init(r22073); mpfr_init(r22074); mpfr_init(r22075); mpfr_init(r22076); mpfr_init(r22077); mpfr_init(r22078); mpfr_init(r22079); mpfr_init(r22080); mpfr_init(r22081); mpfr_init(r22082); } double f_dm(double x, double eps) { mpfr_set_d(r22039, eps, MPFR_RNDN); ; mpfr_set_si(r22041, mpfr_cmp(r22039, r22040) <= 0, MPFR_RNDN); mpfr_set_d(r22042, x, MPFR_RNDN); mpfr_tan(r22043, r22042, MPFR_RNDN); mpfr_tan(r22044, r22039, MPFR_RNDN); mpfr_add(r22045, r22043, r22044, MPFR_RNDN); mpfr_cos(r22046, r22042, MPFR_RNDN); mpfr_mul(r22047, r22045, r22046, MPFR_RNDN); mpfr_mul(r22048, r22047, r22047, MPFR_RNDN); ; mpfr_mul(r22050, r22043, r22044, MPFR_RNDN); mpfr_sub(r22051, r22049, r22050, MPFR_RNDN); mpfr_sin(r22052, r22042, MPFR_RNDN); mpfr_mul(r22053, r22051, r22052, MPFR_RNDN); mpfr_mul(r22054, r22053, r22053, MPFR_RNDN); mpfr_sub(r22055, r22048, r22054, MPFR_RNDN); mpfr_add(r22056, r22047, r22053, MPFR_RNDN); mpfr_div(r22057, r22055, r22056, MPFR_RNDN); mpfr_mul(r22058, r22051, r22046, MPFR_RNDN); mpfr_div(r22059, r22057, r22058, MPFR_RNDN); ; mpfr_set_si(r22061, mpfr_cmp(r22039, r22060) <= 0, MPFR_RNDN); ; mpfr_pow(r22063, r22039, r22062, MPFR_RNDN); ; mpfr_pow(r22065, r22042, r22064, MPFR_RNDN); mpfr_mul(r22066, r22063, r22065, MPFR_RNDN); mpfr_pow(r22067, r22039, r22064, MPFR_RNDN); mpfr_mul(r22068, r22067, r22042, MPFR_RNDN); mpfr_add(r22069, r22066, r22068, MPFR_RNDN); mpfr_add(r22070, r22039, r22069, MPFR_RNDN); mpfr_pow(r22071, r22043, r22062, MPFR_RNDN); mpfr_pow(r22072, r22044, r22062, MPFR_RNDN); mpfr_add(r22073, r22071, r22072, MPFR_RNDN); mpfr_mul(r22074, r22044, r22044, MPFR_RNDN); mpfr_sub(r22075, r22044, r22043, MPFR_RNDN); mpfr_mul(r22076, r22043, r22075, MPFR_RNDN); mpfr_sub(r22077, r22074, r22076, MPFR_RNDN); mpfr_mul(r22078, r22077, r22051, MPFR_RNDN); mpfr_div(r22079, r22073, r22078, MPFR_RNDN); mpfr_sub(r22080, r22079, r22043, MPFR_RNDN); if (mpfr_get_si(r22061, MPFR_RNDN)) { mpfr_set(r22081, r22070, MPFR_RNDN); } else { mpfr_set(r22081, r22080, MPFR_RNDN); }; if (mpfr_get_si(r22041, MPFR_RNDN)) { mpfr_set(r22082, r22059, MPFR_RNDN); } else { mpfr_set(r22082, r22081, MPFR_RNDN); }; return mpfr_get_d(r22082, MPFR_RNDN); }