#include #include #include #include #include char *name = "expq3 (problem 3.4.2)"; double f_if(float a, float b, float eps) { float r23895 = eps; float r23896 = a; float r23897 = b; float r23898 = r23896 + r23897; float r23899 = r23898 * r23895; float r23900 = exp(r23899); float r23901 = 1; float r23902 = r23900 - r23901; float r23903 = r23895 * r23902; float r23904 = r23896 * r23895; float r23905 = exp(r23904); float r23906 = r23905 - r23901; float r23907 = r23897 * r23895; float r23908 = exp(r23907); float r23909 = r23908 - r23901; float r23910 = r23906 * r23909; float r23911 = r23903 / r23910; return r23911; } double f_id(double a, double b, double eps) { double r23912 = eps; double r23913 = a; double r23914 = b; double r23915 = r23913 + r23914; double r23916 = r23915 * r23912; double r23917 = exp(r23916); double r23918 = 1; double r23919 = r23917 - r23918; double r23920 = r23912 * r23919; double r23921 = r23913 * r23912; double r23922 = exp(r23921); double r23923 = r23922 - r23918; double r23924 = r23914 * r23912; double r23925 = exp(r23924); double r23926 = r23925 - r23918; double r23927 = r23923 * r23926; double r23928 = r23920 / r23927; return r23928; } double f_of(float a, float b, float eps) { float r23929 = 1; float r23930 = b; float r23931 = r23929 / r23930; float r23932 = a; float r23933 = r23929 / r23932; float r23934 = r23931 + r23933; float r23935 = -6.046658076202352e-102; bool r23936 = r23934 <= r23935; float r23937 = 1.645236219102365e-84; bool r23938 = r23934 <= r23937; float r23939 = eps; float r23940 = r23932 * r23939; float r23941 = expm1(r23940); float r23942 = r23939 / r23941; float r23943 = r23930 + r23932; float r23944 = r23943 * r23939; float r23945 = expm1(r23944); float r23946 = r23939 * r23930; float r23947 = expm1(r23946); float r23948 = r23945 / r23947; float r23949 = r23942 * r23948; float r23950 = r23938 ? r23949 : r23934; float r23951 = r23936 ? r23934 : r23950; return r23951; } double f_od(double a, double b, double eps) { double r23952 = 1; double r23953 = b; double r23954 = r23952 / r23953; double r23955 = a; double r23956 = r23952 / r23955; double r23957 = r23954 + r23956; double r23958 = -6.046658076202352e-102; bool r23959 = r23957 <= r23958; double r23960 = 1.645236219102365e-84; bool r23961 = r23957 <= r23960; double r23962 = eps; double r23963 = r23955 * r23962; double r23964 = expm1(r23963); double r23965 = r23962 / r23964; double r23966 = r23953 + r23955; double r23967 = r23966 * r23962; double r23968 = expm1(r23967); double r23969 = r23962 * r23953; double r23970 = expm1(r23969); double r23971 = r23968 / r23970; double r23972 = r23965 * r23971; double r23973 = r23961 ? r23972 : r23957; double r23974 = r23959 ? r23957 : r23973; return r23974; } 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 r23975, r23976, r23977, r23978, r23979, r23980, r23981, r23982, r23983, r23984, r23985, r23986, r23987, r23988, r23989, r23990, r23991; void setup_mpfr_f_im() { mpfr_set_default_prec(2384); mpfr_init(r23975); mpfr_init(r23976); mpfr_init(r23977); mpfr_init(r23978); mpfr_init(r23979); mpfr_init(r23980); mpfr_init_set_str(r23981, "1", 10, MPFR_RNDN); mpfr_init(r23982); mpfr_init(r23983); mpfr_init(r23984); mpfr_init(r23985); mpfr_init(r23986); mpfr_init(r23987); mpfr_init(r23988); mpfr_init(r23989); mpfr_init(r23990); mpfr_init(r23991); } double f_im(double a, double b, double eps) { mpfr_set_d(r23975, eps, MPFR_RNDN); mpfr_set_d(r23976, a, MPFR_RNDN); mpfr_set_d(r23977, b, MPFR_RNDN); mpfr_add(r23978, r23976, r23977, MPFR_RNDN); mpfr_mul(r23979, r23978, r23975, MPFR_RNDN); mpfr_exp(r23980, r23979, MPFR_RNDN); ; mpfr_sub(r23982, r23980, r23981, MPFR_RNDN); mpfr_mul(r23983, r23975, r23982, MPFR_RNDN); mpfr_mul(r23984, r23976, r23975, MPFR_RNDN); mpfr_exp(r23985, r23984, MPFR_RNDN); mpfr_sub(r23986, r23985, r23981, MPFR_RNDN); mpfr_mul(r23987, r23977, r23975, MPFR_RNDN); mpfr_exp(r23988, r23987, MPFR_RNDN); mpfr_sub(r23989, r23988, r23981, MPFR_RNDN); mpfr_mul(r23990, r23986, r23989, MPFR_RNDN); mpfr_div(r23991, r23983, r23990, MPFR_RNDN); return mpfr_get_d(r23991, MPFR_RNDN); } static mpfr_t r23992, r23993, r23994, r23995, r23996, r23997, r23998, r23999, r24000, r24001, r24002, r24003, r24004, r24005, r24006, r24007, r24008, r24009, r24010, r24011, r24012, r24013, r24014; void setup_mpfr_f_fm() { mpfr_set_default_prec(2384); mpfr_init_set_str(r23992, "1", 10, MPFR_RNDN); mpfr_init(r23993); mpfr_init(r23994); mpfr_init(r23995); mpfr_init(r23996); mpfr_init(r23997); mpfr_init_set_str(r23998, "-6.046658076202352e-102", 10, MPFR_RNDN); mpfr_init(r23999); mpfr_init_set_str(r24000, "1.645236219102365e-84", 10, MPFR_RNDN); mpfr_init(r24001); mpfr_init(r24002); mpfr_init(r24003); mpfr_init(r24004); 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); } double f_fm(double a, double b, double eps) { ; mpfr_set_d(r23993, b, MPFR_RNDN); mpfr_div(r23994, r23992, r23993, MPFR_RNDN); mpfr_set_d(r23995, a, MPFR_RNDN); mpfr_div(r23996, r23992, r23995, MPFR_RNDN); mpfr_add(r23997, r23994, r23996, MPFR_RNDN); ; mpfr_set_si(r23999, mpfr_cmp(r23997, r23998) <= 0, MPFR_RNDN); ; mpfr_set_si(r24001, mpfr_cmp(r23997, r24000) <= 0, MPFR_RNDN); mpfr_set_d(r24002, eps, MPFR_RNDN); mpfr_mul(r24003, r23995, r24002, MPFR_RNDN); mpfr_expm1(r24004, r24003, MPFR_RNDN); mpfr_div(r24005, r24002, r24004, MPFR_RNDN); mpfr_add(r24006, r23993, r23995, MPFR_RNDN); mpfr_mul(r24007, r24006, r24002, MPFR_RNDN); mpfr_expm1(r24008, r24007, MPFR_RNDN); mpfr_mul(r24009, r24002, r23993, MPFR_RNDN); mpfr_expm1(r24010, r24009, MPFR_RNDN); mpfr_div(r24011, r24008, r24010, MPFR_RNDN); mpfr_mul(r24012, r24005, r24011, MPFR_RNDN); if (mpfr_get_si(r24001, MPFR_RNDN)) { mpfr_set(r24013, r24012, MPFR_RNDN); } else { mpfr_set(r24013, r23997, MPFR_RNDN); }; if (mpfr_get_si(r23999, MPFR_RNDN)) { mpfr_set(r24014, r23997, MPFR_RNDN); } else { mpfr_set(r24014, r24013, MPFR_RNDN); }; return mpfr_get_d(r24014, MPFR_RNDN); } static mpfr_t r24015, r24016, r24017, r24018, r24019, r24020, r24021, r24022, r24023, r24024, r24025, r24026, r24027, r24028, r24029, r24030, r24031, r24032, r24033, r24034, r24035, r24036, r24037; void setup_mpfr_f_dm() { mpfr_set_default_prec(2384); mpfr_init_set_str(r24015, "1", 10, MPFR_RNDN); mpfr_init(r24016); mpfr_init(r24017); mpfr_init(r24018); mpfr_init(r24019); mpfr_init(r24020); mpfr_init_set_str(r24021, "-6.046658076202352e-102", 10, MPFR_RNDN); mpfr_init(r24022); mpfr_init_set_str(r24023, "1.645236219102365e-84", 10, MPFR_RNDN); mpfr_init(r24024); mpfr_init(r24025); mpfr_init(r24026); mpfr_init(r24027); 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); } double f_dm(double a, double b, double eps) { ; mpfr_set_d(r24016, b, MPFR_RNDN); mpfr_div(r24017, r24015, r24016, MPFR_RNDN); mpfr_set_d(r24018, a, MPFR_RNDN); mpfr_div(r24019, r24015, r24018, MPFR_RNDN); mpfr_add(r24020, r24017, r24019, MPFR_RNDN); ; mpfr_set_si(r24022, mpfr_cmp(r24020, r24021) <= 0, MPFR_RNDN); ; mpfr_set_si(r24024, mpfr_cmp(r24020, r24023) <= 0, MPFR_RNDN); mpfr_set_d(r24025, eps, MPFR_RNDN); mpfr_mul(r24026, r24018, r24025, MPFR_RNDN); mpfr_expm1(r24027, r24026, MPFR_RNDN); mpfr_div(r24028, r24025, r24027, MPFR_RNDN); mpfr_add(r24029, r24016, r24018, MPFR_RNDN); mpfr_mul(r24030, r24029, r24025, MPFR_RNDN); mpfr_expm1(r24031, r24030, MPFR_RNDN); mpfr_mul(r24032, r24025, r24016, MPFR_RNDN); mpfr_expm1(r24033, r24032, MPFR_RNDN); mpfr_div(r24034, r24031, r24033, MPFR_RNDN); mpfr_mul(r24035, r24028, r24034, MPFR_RNDN); if (mpfr_get_si(r24024, MPFR_RNDN)) { mpfr_set(r24036, r24035, MPFR_RNDN); } else { mpfr_set(r24036, r24020, MPFR_RNDN); }; if (mpfr_get_si(r24022, MPFR_RNDN)) { mpfr_set(r24037, r24020, MPFR_RNDN); } else { mpfr_set(r24037, r24036, MPFR_RNDN); }; return mpfr_get_d(r24037, MPFR_RNDN); }