#include #include #include #include #include char *name = "2tan (problem 3.3.2)"; double f_if(float x, float eps) { float r21857 = x; float r21858 = eps; float r21859 = r21857 + r21858; float r21860 = tan(r21859); float r21861 = tan(r21857); float r21862 = r21860 - r21861; return r21862; } double f_id(double x, double eps) { double r21863 = x; double r21864 = eps; double r21865 = r21863 + r21864; double r21866 = tan(r21865); double r21867 = tan(r21863); double r21868 = r21866 - r21867; return r21868; } double f_of(float x, float eps) { float r21869 = eps; float r21870 = -1.3943876692052302e-41; bool r21871 = r21869 <= r21870; float r21872 = x; float r21873 = tan(r21872); float r21874 = tan(r21869); float r21875 = r21873 + r21874; float r21876 = cos(r21872); float r21877 = r21875 * r21876; float r21878 = 1; float r21879 = r21873 * r21874; float r21880 = r21878 - r21879; float r21881 = sin(r21872); float r21882 = r21880 * r21881; float r21883 = r21877 - r21882; float r21884 = r21880 * r21876; float r21885 = r21883 / r21884; float r21886 = 4.2516327429727565e-18; bool r21887 = r21869 <= r21886; float r21888 = 3; float r21889 = pow(r21869, r21888); float r21890 = 2; float r21891 = pow(r21872, r21890); float r21892 = r21889 * r21891; float r21893 = pow(r21869, r21890); float r21894 = r21893 * r21872; float r21895 = r21892 + r21894; float r21896 = r21869 + r21895; float r21897 = r21874 + r21873; float r21898 = pow(r21874, r21888); float r21899 = pow(r21873, r21888); float r21900 = r21898 * r21899; float r21901 = cbrt(r21900); float r21902 = r21878 - r21901; float r21903 = r21897 / r21902; float r21904 = r21903 - r21873; float r21905 = r21873 + r21903; float r21906 = r21904 * r21905; float r21907 = r21903 + r21873; float r21908 = r21906 / r21907; float r21909 = r21887 ? r21896 : r21908; float r21910 = r21871 ? r21885 : r21909; return r21910; } double f_od(double x, double eps) { double r21911 = eps; double r21912 = -1.3943876692052302e-41; bool r21913 = r21911 <= r21912; double r21914 = x; double r21915 = tan(r21914); double r21916 = tan(r21911); double r21917 = r21915 + r21916; double r21918 = cos(r21914); double r21919 = r21917 * r21918; double r21920 = 1; double r21921 = r21915 * r21916; double r21922 = r21920 - r21921; double r21923 = sin(r21914); double r21924 = r21922 * r21923; double r21925 = r21919 - r21924; double r21926 = r21922 * r21918; double r21927 = r21925 / r21926; double r21928 = 4.2516327429727565e-18; bool r21929 = r21911 <= r21928; double r21930 = 3; double r21931 = pow(r21911, r21930); double r21932 = 2; double r21933 = pow(r21914, r21932); double r21934 = r21931 * r21933; double r21935 = pow(r21911, r21932); double r21936 = r21935 * r21914; double r21937 = r21934 + r21936; double r21938 = r21911 + r21937; double r21939 = r21916 + r21915; double r21940 = pow(r21916, r21930); double r21941 = pow(r21915, r21930); double r21942 = r21940 * r21941; double r21943 = cbrt(r21942); double r21944 = r21920 - r21943; double r21945 = r21939 / r21944; double r21946 = r21945 - r21915; double r21947 = r21915 + r21945; double r21948 = r21946 * r21947; double r21949 = r21945 + r21915; double r21950 = r21948 / r21949; double r21951 = r21929 ? r21938 : r21950; double r21952 = r21913 ? r21927 : r21951; return r21952; } 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 r21953, r21954, r21955, r21956, r21957, r21958; void setup_mpfr_f_im() { mpfr_set_default_prec(2448); mpfr_init(r21953); mpfr_init(r21954); mpfr_init(r21955); mpfr_init(r21956); mpfr_init(r21957); mpfr_init(r21958); } double f_im(double x, double eps) { mpfr_set_d(r21953, x, MPFR_RNDN); mpfr_set_d(r21954, eps, MPFR_RNDN); mpfr_add(r21955, r21953, r21954, MPFR_RNDN); mpfr_tan(r21956, r21955, MPFR_RNDN); mpfr_tan(r21957, r21953, MPFR_RNDN); mpfr_sub(r21958, r21956, r21957, MPFR_RNDN); return mpfr_get_d(r21958, MPFR_RNDN); } static mpfr_t r21959, r21960, r21961, r21962, r21963, r21964, r21965, r21966, r21967, r21968, r21969, r21970, r21971, r21972, r21973, r21974, r21975, r21976, r21977, r21978, r21979, r21980, r21981, r21982, r21983, r21984, r21985, r21986, r21987, r21988, r21989, r21990, r21991, r21992, r21993, r21994, r21995, r21996, r21997, r21998, r21999, r22000; void setup_mpfr_f_fm() { mpfr_set_default_prec(2448); mpfr_init(r21959); mpfr_init_set_str(r21960, "-1.3943876692052302e-41", 10, MPFR_RNDN); mpfr_init(r21961); mpfr_init(r21962); mpfr_init(r21963); mpfr_init(r21964); mpfr_init(r21965); mpfr_init(r21966); mpfr_init(r21967); mpfr_init_set_str(r21968, "1", 10, MPFR_RNDN); mpfr_init(r21969); mpfr_init(r21970); mpfr_init(r21971); mpfr_init(r21972); mpfr_init(r21973); mpfr_init(r21974); mpfr_init(r21975); mpfr_init_set_str(r21976, "4.2516327429727565e-18", 10, MPFR_RNDN); mpfr_init(r21977); mpfr_init_set_str(r21978, "3", 10, MPFR_RNDN); mpfr_init(r21979); mpfr_init_set_str(r21980, "2", 10, MPFR_RNDN); mpfr_init(r21981); mpfr_init(r21982); mpfr_init(r21983); mpfr_init(r21984); mpfr_init(r21985); mpfr_init(r21986); mpfr_init(r21987); mpfr_init(r21988); mpfr_init(r21989); mpfr_init(r21990); mpfr_init(r21991); mpfr_init(r21992); mpfr_init(r21993); mpfr_init(r21994); mpfr_init(r21995); mpfr_init(r21996); mpfr_init(r21997); mpfr_init(r21998); mpfr_init(r21999); mpfr_init(r22000); } double f_fm(double x, double eps) { mpfr_set_d(r21959, eps, MPFR_RNDN); ; mpfr_set_si(r21961, mpfr_cmp(r21959, r21960) <= 0, MPFR_RNDN); mpfr_set_d(r21962, x, MPFR_RNDN); mpfr_tan(r21963, r21962, MPFR_RNDN); mpfr_tan(r21964, r21959, MPFR_RNDN); mpfr_add(r21965, r21963, r21964, MPFR_RNDN); mpfr_cos(r21966, r21962, MPFR_RNDN); mpfr_mul(r21967, r21965, r21966, MPFR_RNDN); ; mpfr_mul(r21969, r21963, r21964, MPFR_RNDN); mpfr_sub(r21970, r21968, r21969, MPFR_RNDN); mpfr_sin(r21971, r21962, MPFR_RNDN); mpfr_mul(r21972, r21970, r21971, MPFR_RNDN); mpfr_sub(r21973, r21967, r21972, MPFR_RNDN); mpfr_mul(r21974, r21970, r21966, MPFR_RNDN); mpfr_div(r21975, r21973, r21974, MPFR_RNDN); ; mpfr_set_si(r21977, mpfr_cmp(r21959, r21976) <= 0, MPFR_RNDN); ; mpfr_pow(r21979, r21959, r21978, MPFR_RNDN); ; mpfr_pow(r21981, r21962, r21980, MPFR_RNDN); mpfr_mul(r21982, r21979, r21981, MPFR_RNDN); mpfr_pow(r21983, r21959, r21980, MPFR_RNDN); mpfr_mul(r21984, r21983, r21962, MPFR_RNDN); mpfr_add(r21985, r21982, r21984, MPFR_RNDN); mpfr_add(r21986, r21959, r21985, MPFR_RNDN); mpfr_add(r21987, r21964, r21963, MPFR_RNDN); mpfr_pow(r21988, r21964, r21978, MPFR_RNDN); mpfr_pow(r21989, r21963, r21978, MPFR_RNDN); mpfr_mul(r21990, r21988, r21989, MPFR_RNDN); mpfr_cbrt(r21991, r21990, MPFR_RNDN); mpfr_sub(r21992, r21968, r21991, MPFR_RNDN); mpfr_div(r21993, r21987, r21992, MPFR_RNDN); mpfr_sub(r21994, r21993, r21963, MPFR_RNDN); mpfr_add(r21995, r21963, r21993, MPFR_RNDN); mpfr_mul(r21996, r21994, r21995, MPFR_RNDN); mpfr_add(r21997, r21993, r21963, MPFR_RNDN); mpfr_div(r21998, r21996, r21997, MPFR_RNDN); if (mpfr_get_si(r21977, MPFR_RNDN)) { mpfr_set(r21999, r21986, MPFR_RNDN); } else { mpfr_set(r21999, r21998, MPFR_RNDN); }; if (mpfr_get_si(r21961, MPFR_RNDN)) { mpfr_set(r22000, r21975, MPFR_RNDN); } else { mpfr_set(r22000, r21999, MPFR_RNDN); }; return mpfr_get_d(r22000, MPFR_RNDN); } static mpfr_t 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, r22039, r22040, r22041, r22042; void setup_mpfr_f_dm() { mpfr_set_default_prec(2448); mpfr_init(r22001); mpfr_init_set_str(r22002, "-1.3943876692052302e-41", 10, MPFR_RNDN); mpfr_init(r22003); mpfr_init(r22004); mpfr_init(r22005); mpfr_init(r22006); mpfr_init(r22007); mpfr_init(r22008); mpfr_init(r22009); mpfr_init_set_str(r22010, "1", 10, MPFR_RNDN); mpfr_init(r22011); mpfr_init(r22012); mpfr_init(r22013); mpfr_init(r22014); mpfr_init(r22015); mpfr_init(r22016); mpfr_init(r22017); mpfr_init_set_str(r22018, "4.2516327429727565e-18", 10, MPFR_RNDN); mpfr_init(r22019); mpfr_init_set_str(r22020, "3", 10, MPFR_RNDN); mpfr_init(r22021); mpfr_init_set_str(r22022, "2", 10, MPFR_RNDN); 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); mpfr_init(r22039); mpfr_init(r22040); mpfr_init(r22041); mpfr_init(r22042); } double f_dm(double x, double eps) { mpfr_set_d(r22001, eps, MPFR_RNDN); ; mpfr_set_si(r22003, mpfr_cmp(r22001, r22002) <= 0, MPFR_RNDN); mpfr_set_d(r22004, x, MPFR_RNDN); mpfr_tan(r22005, r22004, MPFR_RNDN); mpfr_tan(r22006, r22001, MPFR_RNDN); mpfr_add(r22007, r22005, r22006, MPFR_RNDN); mpfr_cos(r22008, r22004, MPFR_RNDN); mpfr_mul(r22009, r22007, r22008, MPFR_RNDN); ; mpfr_mul(r22011, r22005, r22006, MPFR_RNDN); mpfr_sub(r22012, r22010, r22011, MPFR_RNDN); mpfr_sin(r22013, r22004, MPFR_RNDN); mpfr_mul(r22014, r22012, r22013, MPFR_RNDN); mpfr_sub(r22015, r22009, r22014, MPFR_RNDN); mpfr_mul(r22016, r22012, r22008, MPFR_RNDN); mpfr_div(r22017, r22015, r22016, MPFR_RNDN); ; mpfr_set_si(r22019, mpfr_cmp(r22001, r22018) <= 0, MPFR_RNDN); ; mpfr_pow(r22021, r22001, r22020, MPFR_RNDN); ; mpfr_pow(r22023, r22004, r22022, MPFR_RNDN); mpfr_mul(r22024, r22021, r22023, MPFR_RNDN); mpfr_pow(r22025, r22001, r22022, MPFR_RNDN); mpfr_mul(r22026, r22025, r22004, MPFR_RNDN); mpfr_add(r22027, r22024, r22026, MPFR_RNDN); mpfr_add(r22028, r22001, r22027, MPFR_RNDN); mpfr_add(r22029, r22006, r22005, MPFR_RNDN); mpfr_pow(r22030, r22006, r22020, MPFR_RNDN); mpfr_pow(r22031, r22005, r22020, MPFR_RNDN); mpfr_mul(r22032, r22030, r22031, MPFR_RNDN); mpfr_cbrt(r22033, r22032, MPFR_RNDN); mpfr_sub(r22034, r22010, r22033, MPFR_RNDN); mpfr_div(r22035, r22029, r22034, MPFR_RNDN); mpfr_sub(r22036, r22035, r22005, MPFR_RNDN); mpfr_add(r22037, r22005, r22035, MPFR_RNDN); mpfr_mul(r22038, r22036, r22037, MPFR_RNDN); mpfr_add(r22039, r22035, r22005, MPFR_RNDN); mpfr_div(r22040, r22038, r22039, MPFR_RNDN); if (mpfr_get_si(r22019, MPFR_RNDN)) { mpfr_set(r22041, r22028, MPFR_RNDN); } else { mpfr_set(r22041, r22040, MPFR_RNDN); }; if (mpfr_get_si(r22003, MPFR_RNDN)) { mpfr_set(r22042, r22017, MPFR_RNDN); } else { mpfr_set(r22042, r22041, MPFR_RNDN); }; return mpfr_get_d(r22042, MPFR_RNDN); }