#include #include #include #include #include char *name = "expq3 (problem 3.4.2)"; double f_if(float a, float b, float eps) { float r23871 = eps; float r23872 = a; float r23873 = b; float r23874 = r23872 + r23873; float r23875 = r23874 * r23871; float r23876 = exp(r23875); float r23877 = 1; float r23878 = r23876 - r23877; float r23879 = r23871 * r23878; float r23880 = r23872 * r23871; float r23881 = exp(r23880); float r23882 = r23881 - r23877; float r23883 = r23873 * r23871; float r23884 = exp(r23883); float r23885 = r23884 - r23877; float r23886 = r23882 * r23885; float r23887 = r23879 / r23886; return r23887; } double f_id(double a, double b, double eps) { double r23888 = eps; double r23889 = a; double r23890 = b; double r23891 = r23889 + r23890; double r23892 = r23891 * r23888; double r23893 = exp(r23892); double r23894 = 1; double r23895 = r23893 - r23894; double r23896 = r23888 * r23895; double r23897 = r23889 * r23888; double r23898 = exp(r23897); double r23899 = r23898 - r23894; double r23900 = r23890 * r23888; double r23901 = exp(r23900); double r23902 = r23901 - r23894; double r23903 = r23899 * r23902; double r23904 = r23896 / r23903; return r23904; } double f_of(float a, float b, float eps) { float r23905 = eps; float r23906 = b; float r23907 = r23906 * r23905; float r23908 = expm1(r23907); float r23909 = a; float r23910 = r23905 * r23909; float r23911 = expm1(r23910); float r23912 = r23908 * r23911; float r23913 = r23906 + r23909; float r23914 = r23913 * r23905; float r23915 = expm1(r23914); float r23916 = r23912 / r23915; float r23917 = r23905 / r23916; float r23918 = -5.270434816906832e-10; bool r23919 = r23917 <= r23918; float r23920 = 1; float r23921 = r23920 / r23906; float r23922 = r23920 / r23909; float r23923 = r23921 + r23922; float r23924 = 2.088519104255703e-20; bool r23925 = r23917 <= r23924; float r23926 = r23925 ? r23917 : r23923; float r23927 = r23919 ? r23923 : r23926; return r23927; } double f_od(double a, double b, double eps) { double r23928 = eps; double r23929 = b; double r23930 = r23929 * r23928; double r23931 = expm1(r23930); double r23932 = a; double r23933 = r23928 * r23932; double r23934 = expm1(r23933); double r23935 = r23931 * r23934; double r23936 = r23929 + r23932; double r23937 = r23936 * r23928; double r23938 = expm1(r23937); double r23939 = r23935 / r23938; double r23940 = r23928 / r23939; double r23941 = -5.270434816906832e-10; bool r23942 = r23940 <= r23941; double r23943 = 1; double r23944 = r23943 / r23929; double r23945 = r23943 / r23932; double r23946 = r23944 + r23945; double r23947 = 2.088519104255703e-20; bool r23948 = r23940 <= r23947; double r23949 = r23948 ? r23940 : r23946; double r23950 = r23942 ? r23946 : r23949; return r23950; } 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 r23951, r23952, r23953, r23954, r23955, r23956, r23957, r23958, r23959, r23960, r23961, r23962, r23963, r23964, r23965, r23966, r23967; void setup_mpfr_f_im() { mpfr_set_default_prec(2448); mpfr_init(r23951); mpfr_init(r23952); mpfr_init(r23953); mpfr_init(r23954); mpfr_init(r23955); mpfr_init(r23956); mpfr_init_set_str(r23957, "1", 10, MPFR_RNDN); mpfr_init(r23958); mpfr_init(r23959); mpfr_init(r23960); mpfr_init(r23961); mpfr_init(r23962); mpfr_init(r23963); mpfr_init(r23964); mpfr_init(r23965); mpfr_init(r23966); mpfr_init(r23967); } double f_im(double a, double b, double eps) { mpfr_set_d(r23951, eps, MPFR_RNDN); mpfr_set_d(r23952, a, MPFR_RNDN); mpfr_set_d(r23953, b, MPFR_RNDN); mpfr_add(r23954, r23952, r23953, MPFR_RNDN); mpfr_mul(r23955, r23954, r23951, MPFR_RNDN); mpfr_exp(r23956, r23955, MPFR_RNDN); ; mpfr_sub(r23958, r23956, r23957, MPFR_RNDN); mpfr_mul(r23959, r23951, r23958, MPFR_RNDN); mpfr_mul(r23960, r23952, r23951, MPFR_RNDN); mpfr_exp(r23961, r23960, MPFR_RNDN); mpfr_sub(r23962, r23961, r23957, MPFR_RNDN); mpfr_mul(r23963, r23953, r23951, MPFR_RNDN); mpfr_exp(r23964, r23963, MPFR_RNDN); mpfr_sub(r23965, r23964, r23957, MPFR_RNDN); mpfr_mul(r23966, r23962, r23965, MPFR_RNDN); mpfr_div(r23967, r23959, r23966, MPFR_RNDN); return mpfr_get_d(r23967, MPFR_RNDN); } static mpfr_t r23968, r23969, r23970, r23971, r23972, r23973, r23974, r23975, r23976, r23977, r23978, r23979, r23980, r23981, r23982, r23983, r23984, r23985, r23986, r23987, r23988, r23989, r23990; void setup_mpfr_f_fm() { mpfr_set_default_prec(2448); mpfr_init(r23968); mpfr_init(r23969); mpfr_init(r23970); mpfr_init(r23971); mpfr_init(r23972); mpfr_init(r23973); mpfr_init(r23974); mpfr_init(r23975); mpfr_init(r23976); mpfr_init(r23977); mpfr_init(r23978); mpfr_init(r23979); mpfr_init(r23980); mpfr_init_set_str(r23981, "-5.270434816906832e-10", 10, MPFR_RNDN); mpfr_init(r23982); mpfr_init_set_str(r23983, "1", 10, MPFR_RNDN); mpfr_init(r23984); mpfr_init(r23985); mpfr_init(r23986); mpfr_init_set_str(r23987, "2.088519104255703e-20", 10, MPFR_RNDN); mpfr_init(r23988); mpfr_init(r23989); mpfr_init(r23990); } double f_fm(double a, double b, double eps) { mpfr_set_d(r23968, eps, MPFR_RNDN); mpfr_set_d(r23969, b, MPFR_RNDN); mpfr_mul(r23970, r23969, r23968, MPFR_RNDN); mpfr_expm1(r23971, r23970, MPFR_RNDN); mpfr_set_d(r23972, a, MPFR_RNDN); mpfr_mul(r23973, r23968, r23972, MPFR_RNDN); mpfr_expm1(r23974, r23973, MPFR_RNDN); mpfr_mul(r23975, r23971, r23974, MPFR_RNDN); mpfr_add(r23976, r23969, r23972, MPFR_RNDN); mpfr_mul(r23977, r23976, r23968, MPFR_RNDN); mpfr_expm1(r23978, r23977, MPFR_RNDN); mpfr_div(r23979, r23975, r23978, MPFR_RNDN); mpfr_div(r23980, r23968, r23979, MPFR_RNDN); ; mpfr_set_si(r23982, mpfr_cmp(r23980, r23981) <= 0, MPFR_RNDN); ; mpfr_div(r23984, r23983, r23969, MPFR_RNDN); mpfr_div(r23985, r23983, r23972, MPFR_RNDN); mpfr_add(r23986, r23984, r23985, MPFR_RNDN); ; mpfr_set_si(r23988, mpfr_cmp(r23980, r23987) <= 0, MPFR_RNDN); if (mpfr_get_si(r23988, MPFR_RNDN)) { mpfr_set(r23989, r23980, MPFR_RNDN); } else { mpfr_set(r23989, r23986, MPFR_RNDN); }; if (mpfr_get_si(r23982, MPFR_RNDN)) { mpfr_set(r23990, r23986, MPFR_RNDN); } else { mpfr_set(r23990, r23989, MPFR_RNDN); }; return mpfr_get_d(r23990, MPFR_RNDN); } static mpfr_t r23991, r23992, r23993, r23994, r23995, r23996, r23997, r23998, r23999, r24000, r24001, r24002, r24003, r24004, r24005, r24006, r24007, r24008, r24009, r24010, r24011, r24012, r24013; void setup_mpfr_f_dm() { mpfr_set_default_prec(2448); mpfr_init(r23991); mpfr_init(r23992); mpfr_init(r23993); mpfr_init(r23994); mpfr_init(r23995); mpfr_init(r23996); mpfr_init(r23997); mpfr_init(r23998); mpfr_init(r23999); mpfr_init(r24000); mpfr_init(r24001); mpfr_init(r24002); mpfr_init(r24003); mpfr_init_set_str(r24004, "-5.270434816906832e-10", 10, MPFR_RNDN); mpfr_init(r24005); mpfr_init_set_str(r24006, "1", 10, MPFR_RNDN); mpfr_init(r24007); mpfr_init(r24008); mpfr_init(r24009); mpfr_init_set_str(r24010, "2.088519104255703e-20", 10, MPFR_RNDN); mpfr_init(r24011); mpfr_init(r24012); mpfr_init(r24013); } double f_dm(double a, double b, double eps) { mpfr_set_d(r23991, eps, MPFR_RNDN); mpfr_set_d(r23992, b, MPFR_RNDN); mpfr_mul(r23993, r23992, r23991, MPFR_RNDN); mpfr_expm1(r23994, r23993, MPFR_RNDN); mpfr_set_d(r23995, a, MPFR_RNDN); mpfr_mul(r23996, r23991, r23995, MPFR_RNDN); mpfr_expm1(r23997, r23996, MPFR_RNDN); mpfr_mul(r23998, r23994, r23997, MPFR_RNDN); mpfr_add(r23999, r23992, r23995, MPFR_RNDN); mpfr_mul(r24000, r23999, r23991, MPFR_RNDN); mpfr_expm1(r24001, r24000, MPFR_RNDN); mpfr_div(r24002, r23998, r24001, MPFR_RNDN); mpfr_div(r24003, r23991, r24002, MPFR_RNDN); ; mpfr_set_si(r24005, mpfr_cmp(r24003, r24004) <= 0, MPFR_RNDN); ; mpfr_div(r24007, r24006, r23992, MPFR_RNDN); mpfr_div(r24008, r24006, r23995, MPFR_RNDN); mpfr_add(r24009, r24007, r24008, MPFR_RNDN); ; mpfr_set_si(r24011, mpfr_cmp(r24003, r24010) <= 0, MPFR_RNDN); if (mpfr_get_si(r24011, MPFR_RNDN)) { mpfr_set(r24012, r24003, MPFR_RNDN); } else { mpfr_set(r24012, r24009, MPFR_RNDN); }; if (mpfr_get_si(r24005, MPFR_RNDN)) { mpfr_set(r24013, r24009, MPFR_RNDN); } else { mpfr_set(r24013, r24012, MPFR_RNDN); }; return mpfr_get_d(r24013, MPFR_RNDN); }