#include #include #include #include #include char *name = "expq3 (problem 3.4.2)"; double f_if(float a, float b, float eps) { float r23899 = eps; float r23900 = a; float r23901 = b; float r23902 = r23900 + r23901; float r23903 = r23902 * r23899; float r23904 = exp(r23903); float r23905 = 1; float r23906 = r23904 - r23905; float r23907 = r23899 * r23906; float r23908 = r23900 * r23899; float r23909 = exp(r23908); float r23910 = r23909 - r23905; float r23911 = r23901 * r23899; float r23912 = exp(r23911); float r23913 = r23912 - r23905; float r23914 = r23910 * r23913; float r23915 = r23907 / r23914; return r23915; } double f_id(double a, double b, double eps) { double r23916 = eps; double r23917 = a; double r23918 = b; double r23919 = r23917 + r23918; double r23920 = r23919 * r23916; double r23921 = exp(r23920); double r23922 = 1; double r23923 = r23921 - r23922; double r23924 = r23916 * r23923; double r23925 = r23917 * r23916; double r23926 = exp(r23925); double r23927 = r23926 - r23922; double r23928 = r23918 * r23916; double r23929 = exp(r23928); double r23930 = r23929 - r23922; double r23931 = r23927 * r23930; double r23932 = r23924 / r23931; return r23932; } double f_of(float a, float b, float eps) { float r23933 = 1; float r23934 = b; float r23935 = r23933 / r23934; float r23936 = a; float r23937 = r23933 / r23936; float r23938 = r23935 + r23937; float r23939 = -6.046658076202352e-102; bool r23940 = r23938 <= r23939; float r23941 = 1.645236219102365e-84; bool r23942 = r23938 <= r23941; float r23943 = eps; float r23944 = r23936 * r23943; float r23945 = expm1(r23944); float r23946 = r23943 / r23945; float r23947 = r23934 + r23936; float r23948 = r23947 * r23943; float r23949 = expm1(r23948); float r23950 = r23943 * r23934; float r23951 = expm1(r23950); float r23952 = r23949 / r23951; float r23953 = r23946 * r23952; float r23954 = r23942 ? r23953 : r23938; float r23955 = r23940 ? r23938 : r23954; return r23955; } double f_od(double a, double b, double eps) { double r23956 = 1; double r23957 = b; double r23958 = r23956 / r23957; double r23959 = a; double r23960 = r23956 / r23959; double r23961 = r23958 + r23960; double r23962 = -6.046658076202352e-102; bool r23963 = r23961 <= r23962; double r23964 = 1.645236219102365e-84; bool r23965 = r23961 <= r23964; double r23966 = eps; double r23967 = r23959 * r23966; double r23968 = expm1(r23967); double r23969 = r23966 / r23968; double r23970 = r23957 + r23959; double r23971 = r23970 * r23966; double r23972 = expm1(r23971); double r23973 = r23966 * r23957; double r23974 = expm1(r23973); double r23975 = r23972 / r23974; double r23976 = r23969 * r23975; double r23977 = r23965 ? r23976 : r23961; double r23978 = r23963 ? r23961 : r23977; return r23978; } 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 r23979, r23980, r23981, r23982, r23983, r23984, r23985, r23986, r23987, r23988, r23989, r23990, r23991, r23992, r23993, r23994, r23995; void setup_mpfr_f_im() { mpfr_set_default_prec(2384); mpfr_init(r23979); mpfr_init(r23980); mpfr_init(r23981); mpfr_init(r23982); mpfr_init(r23983); mpfr_init(r23984); mpfr_init_set_str(r23985, "1", 10, MPFR_RNDN); mpfr_init(r23986); mpfr_init(r23987); mpfr_init(r23988); mpfr_init(r23989); mpfr_init(r23990); mpfr_init(r23991); mpfr_init(r23992); mpfr_init(r23993); mpfr_init(r23994); mpfr_init(r23995); } double f_im(double a, double b, double eps) { mpfr_set_d(r23979, eps, MPFR_RNDN); mpfr_set_d(r23980, a, MPFR_RNDN); mpfr_set_d(r23981, b, MPFR_RNDN); mpfr_add(r23982, r23980, r23981, MPFR_RNDN); mpfr_mul(r23983, r23982, r23979, MPFR_RNDN); mpfr_exp(r23984, r23983, MPFR_RNDN); ; mpfr_sub(r23986, r23984, r23985, MPFR_RNDN); mpfr_mul(r23987, r23979, r23986, MPFR_RNDN); mpfr_mul(r23988, r23980, r23979, MPFR_RNDN); mpfr_exp(r23989, r23988, MPFR_RNDN); mpfr_sub(r23990, r23989, r23985, MPFR_RNDN); mpfr_mul(r23991, r23981, r23979, MPFR_RNDN); mpfr_exp(r23992, r23991, MPFR_RNDN); mpfr_sub(r23993, r23992, r23985, MPFR_RNDN); mpfr_mul(r23994, r23990, r23993, MPFR_RNDN); mpfr_div(r23995, r23987, r23994, MPFR_RNDN); return mpfr_get_d(r23995, MPFR_RNDN); } static mpfr_t r23996, r23997, r23998, r23999, r24000, r24001, r24002, r24003, r24004, r24005, r24006, r24007, r24008, r24009, r24010, r24011, r24012, r24013, r24014, r24015, r24016, r24017, r24018; void setup_mpfr_f_fm() { mpfr_set_default_prec(2384); mpfr_init_set_str(r23996, "1", 10, MPFR_RNDN); mpfr_init(r23997); mpfr_init(r23998); mpfr_init(r23999); mpfr_init(r24000); mpfr_init(r24001); mpfr_init_set_str(r24002, "-6.046658076202352e-102", 10, MPFR_RNDN); mpfr_init(r24003); mpfr_init_set_str(r24004, "1.645236219102365e-84", 10, MPFR_RNDN); mpfr_init(r24005); mpfr_init(r24006); mpfr_init(r24007); mpfr_init(r24008); mpfr_init(r24009); mpfr_init(r24010); mpfr_init(r24011); mpfr_init(r24012); mpfr_init(r24013); mpfr_init(r24014); mpfr_init(r24015); mpfr_init(r24016); mpfr_init(r24017); mpfr_init(r24018); } double f_fm(double a, double b, double eps) { ; mpfr_set_d(r23997, b, MPFR_RNDN); mpfr_div(r23998, r23996, r23997, MPFR_RNDN); mpfr_set_d(r23999, a, MPFR_RNDN); mpfr_div(r24000, r23996, r23999, MPFR_RNDN); mpfr_add(r24001, r23998, r24000, MPFR_RNDN); ; mpfr_set_si(r24003, mpfr_cmp(r24001, r24002) <= 0, MPFR_RNDN); ; mpfr_set_si(r24005, mpfr_cmp(r24001, r24004) <= 0, MPFR_RNDN); mpfr_set_d(r24006, eps, MPFR_RNDN); mpfr_mul(r24007, r23999, r24006, MPFR_RNDN); mpfr_expm1(r24008, r24007, MPFR_RNDN); mpfr_div(r24009, r24006, r24008, MPFR_RNDN); mpfr_add(r24010, r23997, r23999, MPFR_RNDN); mpfr_mul(r24011, r24010, r24006, MPFR_RNDN); mpfr_expm1(r24012, r24011, MPFR_RNDN); mpfr_mul(r24013, r24006, r23997, MPFR_RNDN); mpfr_expm1(r24014, r24013, MPFR_RNDN); mpfr_div(r24015, r24012, r24014, MPFR_RNDN); mpfr_mul(r24016, r24009, r24015, MPFR_RNDN); if (mpfr_get_si(r24005, MPFR_RNDN)) { mpfr_set(r24017, r24016, MPFR_RNDN); } else { mpfr_set(r24017, r24001, MPFR_RNDN); }; if (mpfr_get_si(r24003, MPFR_RNDN)) { mpfr_set(r24018, r24001, MPFR_RNDN); } else { mpfr_set(r24018, r24017, MPFR_RNDN); }; return mpfr_get_d(r24018, MPFR_RNDN); } static mpfr_t r24019, r24020, r24021, r24022, r24023, r24024, r24025, r24026, r24027, r24028, r24029, r24030, r24031, r24032, r24033, r24034, r24035, r24036, r24037, r24038, r24039, r24040, r24041; void setup_mpfr_f_dm() { mpfr_set_default_prec(2384); mpfr_init_set_str(r24019, "1", 10, MPFR_RNDN); mpfr_init(r24020); mpfr_init(r24021); mpfr_init(r24022); mpfr_init(r24023); mpfr_init(r24024); mpfr_init_set_str(r24025, "-6.046658076202352e-102", 10, MPFR_RNDN); mpfr_init(r24026); mpfr_init_set_str(r24027, "1.645236219102365e-84", 10, MPFR_RNDN); mpfr_init(r24028); mpfr_init(r24029); mpfr_init(r24030); mpfr_init(r24031); mpfr_init(r24032); mpfr_init(r24033); mpfr_init(r24034); mpfr_init(r24035); mpfr_init(r24036); mpfr_init(r24037); mpfr_init(r24038); mpfr_init(r24039); mpfr_init(r24040); mpfr_init(r24041); } double f_dm(double a, double b, double eps) { ; mpfr_set_d(r24020, b, MPFR_RNDN); mpfr_div(r24021, r24019, r24020, MPFR_RNDN); mpfr_set_d(r24022, a, MPFR_RNDN); mpfr_div(r24023, r24019, r24022, MPFR_RNDN); mpfr_add(r24024, r24021, r24023, MPFR_RNDN); ; mpfr_set_si(r24026, mpfr_cmp(r24024, r24025) <= 0, MPFR_RNDN); ; mpfr_set_si(r24028, mpfr_cmp(r24024, r24027) <= 0, MPFR_RNDN); mpfr_set_d(r24029, eps, MPFR_RNDN); mpfr_mul(r24030, r24022, r24029, MPFR_RNDN); mpfr_expm1(r24031, r24030, MPFR_RNDN); mpfr_div(r24032, r24029, r24031, MPFR_RNDN); mpfr_add(r24033, r24020, r24022, MPFR_RNDN); mpfr_mul(r24034, r24033, r24029, MPFR_RNDN); mpfr_expm1(r24035, r24034, MPFR_RNDN); mpfr_mul(r24036, r24029, r24020, MPFR_RNDN); mpfr_expm1(r24037, r24036, MPFR_RNDN); mpfr_div(r24038, r24035, r24037, MPFR_RNDN); mpfr_mul(r24039, r24032, r24038, MPFR_RNDN); if (mpfr_get_si(r24028, MPFR_RNDN)) { mpfr_set(r24040, r24039, MPFR_RNDN); } else { mpfr_set(r24040, r24024, MPFR_RNDN); }; if (mpfr_get_si(r24026, MPFR_RNDN)) { mpfr_set(r24041, r24024, MPFR_RNDN); } else { mpfr_set(r24041, r24040, MPFR_RNDN); }; return mpfr_get_d(r24041, MPFR_RNDN); }