#include #include #include #include #include char *name = "From Warwick Tucker's Validated Numerics"; double f_if() { float r24821 = 333.75; float r24822 = 33096; float r24823 = 6; float r24824 = pow(r24822, r24823); float r24825 = r24821 * r24824; float r24826 = 77617; float r24827 = r24826 * r24826; float r24828 = 11; float r24829 = r24828 * r24827; float r24830 = r24822 * r24822; float r24831 = r24829 * r24830; float r24832 = -r24824; float r24833 = r24831 + r24832; float r24834 = -121; float r24835 = 4; float r24836 = pow(r24822, r24835); float r24837 = r24834 * r24836; float r24838 = r24833 + r24837; float r24839 = -2; float r24840 = r24838 + r24839; float r24841 = r24827 * r24840; float r24842 = r24825 + r24841; float r24843 = 5.5; float r24844 = 8; float r24845 = pow(r24822, r24844); float r24846 = r24843 * r24845; float r24847 = r24842 + r24846; float r24848 = 2; float r24849 = r24848 * r24822; float r24850 = r24826 / r24849; float r24851 = r24847 + r24850; return r24851; } double f_id() { double r24852 = 333.75; double r24853 = 33096; double r24854 = 6; double r24855 = pow(r24853, r24854); double r24856 = r24852 * r24855; double r24857 = 77617; double r24858 = r24857 * r24857; double r24859 = 11; double r24860 = r24859 * r24858; double r24861 = r24853 * r24853; double r24862 = r24860 * r24861; double r24863 = -r24855; double r24864 = r24862 + r24863; double r24865 = -121; double r24866 = 4; double r24867 = pow(r24853, r24866); double r24868 = r24865 * r24867; double r24869 = r24864 + r24868; double r24870 = -2; double r24871 = r24869 + r24870; double r24872 = r24858 * r24871; double r24873 = r24856 + r24872; double r24874 = 5.5; double r24875 = 8; double r24876 = pow(r24853, r24875); double r24877 = r24874 * r24876; double r24878 = r24873 + r24877; double r24879 = 2; double r24880 = r24879 * r24853; double r24881 = r24857 / r24880; double r24882 = r24878 + r24881; return r24882; } double f_of() { float r24883 = 33096; float r24884 = 6; float r24885 = pow(r24883, r24884); float r24886 = 333.75; float r24887 = r24885 * r24886; float r24888 = 77617; float r24889 = r24888 * r24888; float r24890 = 11; float r24891 = r24888 * r24890; float r24892 = r24883 * r24891; float r24893 = r24888 * r24883; float r24894 = r24892 * r24893; float r24895 = -2; float r24896 = r24885 - r24895; float r24897 = 4; float r24898 = pow(r24883, r24897); float r24899 = -121; float r24900 = r24898 * r24899; float r24901 = r24896 - r24900; float r24902 = r24894 - r24901; float r24903 = r24889 * r24902; float r24904 = r24887 + r24903; float r24905 = r24904 * r24904; float r24906 = r24905 * r24904; float r24907 = 5.5; float r24908 = 8; float r24909 = pow(r24883, r24908); float r24910 = r24907 * r24909; float r24911 = 3; float r24912 = pow(r24910, r24911); float r24913 = r24906 + r24912; float r24914 = r24910 * r24910; float r24915 = r24890 * r24883; float r24916 = r24883 * r24915; float r24917 = r24889 * r24916; float r24918 = r24917 - r24901; float r24919 = r24889 * r24918; float r24920 = r24887 + r24919; float r24921 = r24910 - r24887; float r24922 = log(r24901); float r24923 = sqrt(r24922); float r24924 = exp(r24923); float r24925 = pow(r24924, r24923); float r24926 = r24917 - r24925; float r24927 = r24889 * r24926; float r24928 = r24921 - r24927; float r24929 = r24920 * r24928; float r24930 = r24914 - r24929; float r24931 = r24913 / r24930; float r24932 = 2; float r24933 = r24932 * r24883; float r24934 = r24888 / r24933; float r24935 = r24931 + r24934; return r24935; } double f_od() { double r24936 = 33096; double r24937 = 6; double r24938 = pow(r24936, r24937); double r24939 = 333.75; double r24940 = r24938 * r24939; double r24941 = 77617; double r24942 = r24941 * r24941; double r24943 = 11; double r24944 = r24941 * r24943; double r24945 = r24936 * r24944; double r24946 = r24941 * r24936; double r24947 = r24945 * r24946; double r24948 = -2; double r24949 = r24938 - r24948; double r24950 = 4; double r24951 = pow(r24936, r24950); double r24952 = -121; double r24953 = r24951 * r24952; double r24954 = r24949 - r24953; double r24955 = r24947 - r24954; double r24956 = r24942 * r24955; double r24957 = r24940 + r24956; double r24958 = r24957 * r24957; double r24959 = r24958 * r24957; double r24960 = 5.5; double r24961 = 8; double r24962 = pow(r24936, r24961); double r24963 = r24960 * r24962; double r24964 = 3; double r24965 = pow(r24963, r24964); double r24966 = r24959 + r24965; double r24967 = r24963 * r24963; double r24968 = r24943 * r24936; double r24969 = r24936 * r24968; double r24970 = r24942 * r24969; double r24971 = r24970 - r24954; double r24972 = r24942 * r24971; double r24973 = r24940 + r24972; double r24974 = r24963 - r24940; double r24975 = log(r24954); double r24976 = sqrt(r24975); double r24977 = exp(r24976); double r24978 = pow(r24977, r24976); double r24979 = r24970 - r24978; double r24980 = r24942 * r24979; double r24981 = r24974 - r24980; double r24982 = r24973 * r24981; double r24983 = r24967 - r24982; double r24984 = r24966 / r24983; double r24985 = 2; double r24986 = r24985 * r24936; double r24987 = r24941 / r24986; double r24988 = r24984 + r24987; return r24988; } 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 r24989, r24990, r24991, r24992, r24993, r24994, r24995, r24996, r24997, r24998, r24999, r25000, r25001, r25002, r25003, r25004, r25005, r25006, r25007, r25008, r25009, r25010, r25011, r25012, r25013, r25014, r25015, r25016, r25017, r25018, r25019; void setup_mpfr_f_im() { mpfr_set_default_prec(592); mpfr_init_set_str(r24989, "333.75", 10, MPFR_RNDN); mpfr_init_set_str(r24990, "33096", 10, MPFR_RNDN); mpfr_init_set_str(r24991, "6", 10, MPFR_RNDN); mpfr_init(r24992); mpfr_init(r24993); mpfr_init_set_str(r24994, "77617", 10, MPFR_RNDN); mpfr_init(r24995); mpfr_init_set_str(r24996, "11", 10, MPFR_RNDN); mpfr_init(r24997); mpfr_init(r24998); mpfr_init(r24999); mpfr_init(r25000); mpfr_init(r25001); mpfr_init_set_str(r25002, "-121", 10, MPFR_RNDN); mpfr_init_set_str(r25003, "4", 10, MPFR_RNDN); mpfr_init(r25004); mpfr_init(r25005); mpfr_init(r25006); mpfr_init_set_str(r25007, "-2", 10, MPFR_RNDN); mpfr_init(r25008); mpfr_init(r25009); mpfr_init(r25010); mpfr_init_set_str(r25011, "5.5", 10, MPFR_RNDN); mpfr_init_set_str(r25012, "8", 10, MPFR_RNDN); mpfr_init(r25013); mpfr_init(r25014); mpfr_init(r25015); mpfr_init_set_str(r25016, "2", 10, MPFR_RNDN); mpfr_init(r25017); mpfr_init(r25018); mpfr_init(r25019); } double f_im() { ; ; ; mpfr_pow(r24992, r24990, r24991, MPFR_RNDN); mpfr_mul(r24993, r24989, r24992, MPFR_RNDN); ; mpfr_mul(r24995, r24994, r24994, MPFR_RNDN); ; mpfr_mul(r24997, r24996, r24995, MPFR_RNDN); mpfr_mul(r24998, r24990, r24990, MPFR_RNDN); mpfr_mul(r24999, r24997, r24998, MPFR_RNDN); mpfr_neg(r25000, r24992, MPFR_RNDN); mpfr_add(r25001, r24999, r25000, MPFR_RNDN); ; ; mpfr_pow(r25004, r24990, r25003, MPFR_RNDN); mpfr_mul(r25005, r25002, r25004, MPFR_RNDN); mpfr_add(r25006, r25001, r25005, MPFR_RNDN); ; mpfr_add(r25008, r25006, r25007, MPFR_RNDN); mpfr_mul(r25009, r24995, r25008, MPFR_RNDN); mpfr_add(r25010, r24993, r25009, MPFR_RNDN); ; ; mpfr_pow(r25013, r24990, r25012, MPFR_RNDN); mpfr_mul(r25014, r25011, r25013, MPFR_RNDN); mpfr_add(r25015, r25010, r25014, MPFR_RNDN); ; mpfr_mul(r25017, r25016, r24990, MPFR_RNDN); mpfr_div(r25018, r24994, r25017, MPFR_RNDN); mpfr_add(r25019, r25015, r25018, MPFR_RNDN); return mpfr_get_d(r25019, MPFR_RNDN); } static mpfr_t r25020, r25021, r25022, r25023, r25024, r25025, r25026, r25027, r25028, r25029, r25030, r25031, r25032, r25033, r25034, r25035, r25036, r25037, r25038, r25039, r25040, r25041, r25042, r25043, r25044, r25045, r25046, r25047, r25048, r25049, r25050, r25051, r25052, r25053, r25054, r25055, r25056, r25057, r25058, r25059, r25060, r25061, r25062, r25063, r25064, r25065, r25066, r25067, r25068, r25069, r25070, r25071, r25072; void setup_mpfr_f_fm() { mpfr_set_default_prec(592); mpfr_init_set_str(r25020, "33096", 10, MPFR_RNDN); mpfr_init_set_str(r25021, "6", 10, MPFR_RNDN); mpfr_init(r25022); mpfr_init_set_str(r25023, "333.75", 10, MPFR_RNDN); mpfr_init(r25024); mpfr_init_set_str(r25025, "77617", 10, MPFR_RNDN); mpfr_init(r25026); mpfr_init_set_str(r25027, "11", 10, MPFR_RNDN); mpfr_init(r25028); mpfr_init(r25029); mpfr_init(r25030); mpfr_init(r25031); mpfr_init_set_str(r25032, "-2", 10, MPFR_RNDN); mpfr_init(r25033); mpfr_init_set_str(r25034, "4", 10, MPFR_RNDN); mpfr_init(r25035); mpfr_init_set_str(r25036, "-121", 10, MPFR_RNDN); mpfr_init(r25037); mpfr_init(r25038); mpfr_init(r25039); mpfr_init(r25040); mpfr_init(r25041); mpfr_init(r25042); mpfr_init(r25043); mpfr_init_set_str(r25044, "5.5", 10, MPFR_RNDN); mpfr_init_set_str(r25045, "8", 10, MPFR_RNDN); mpfr_init(r25046); mpfr_init(r25047); mpfr_init_set_str(r25048, "3", 10, MPFR_RNDN); mpfr_init(r25049); mpfr_init(r25050); mpfr_init(r25051); mpfr_init(r25052); mpfr_init(r25053); mpfr_init(r25054); mpfr_init(r25055); mpfr_init(r25056); mpfr_init(r25057); mpfr_init(r25058); mpfr_init(r25059); mpfr_init(r25060); mpfr_init(r25061); mpfr_init(r25062); mpfr_init(r25063); mpfr_init(r25064); mpfr_init(r25065); mpfr_init(r25066); mpfr_init(r25067); mpfr_init(r25068); mpfr_init_set_str(r25069, "2", 10, MPFR_RNDN); mpfr_init(r25070); mpfr_init(r25071); mpfr_init(r25072); } double f_fm() { ; ; mpfr_pow(r25022, r25020, r25021, MPFR_RNDN); ; mpfr_mul(r25024, r25022, r25023, MPFR_RNDN); ; mpfr_mul(r25026, r25025, r25025, MPFR_RNDN); ; mpfr_mul(r25028, r25025, r25027, MPFR_RNDN); mpfr_mul(r25029, r25020, r25028, MPFR_RNDN); mpfr_mul(r25030, r25025, r25020, MPFR_RNDN); mpfr_mul(r25031, r25029, r25030, MPFR_RNDN); ; mpfr_sub(r25033, r25022, r25032, MPFR_RNDN); ; mpfr_pow(r25035, r25020, r25034, MPFR_RNDN); ; mpfr_mul(r25037, r25035, r25036, MPFR_RNDN); mpfr_sub(r25038, r25033, r25037, MPFR_RNDN); mpfr_sub(r25039, r25031, r25038, MPFR_RNDN); mpfr_mul(r25040, r25026, r25039, MPFR_RNDN); mpfr_add(r25041, r25024, r25040, MPFR_RNDN); mpfr_mul(r25042, r25041, r25041, MPFR_RNDN); mpfr_mul(r25043, r25042, r25041, MPFR_RNDN); ; ; mpfr_pow(r25046, r25020, r25045, MPFR_RNDN); mpfr_mul(r25047, r25044, r25046, MPFR_RNDN); ; mpfr_pow(r25049, r25047, r25048, MPFR_RNDN); mpfr_add(r25050, r25043, r25049, MPFR_RNDN); mpfr_mul(r25051, r25047, r25047, MPFR_RNDN); mpfr_mul(r25052, r25027, r25020, MPFR_RNDN); mpfr_mul(r25053, r25020, r25052, MPFR_RNDN); mpfr_mul(r25054, r25026, r25053, MPFR_RNDN); mpfr_sub(r25055, r25054, r25038, MPFR_RNDN); mpfr_mul(r25056, r25026, r25055, MPFR_RNDN); mpfr_add(r25057, r25024, r25056, MPFR_RNDN); mpfr_sub(r25058, r25047, r25024, MPFR_RNDN); mpfr_log(r25059, r25038, MPFR_RNDN); mpfr_sqrt(r25060, r25059, MPFR_RNDN); mpfr_exp(r25061, r25060, MPFR_RNDN); mpfr_pow(r25062, r25061, r25060, MPFR_RNDN); mpfr_sub(r25063, r25054, r25062, MPFR_RNDN); mpfr_mul(r25064, r25026, r25063, MPFR_RNDN); mpfr_sub(r25065, r25058, r25064, MPFR_RNDN); mpfr_mul(r25066, r25057, r25065, MPFR_RNDN); mpfr_sub(r25067, r25051, r25066, MPFR_RNDN); mpfr_div(r25068, r25050, r25067, MPFR_RNDN); ; mpfr_mul(r25070, r25069, r25020, MPFR_RNDN); mpfr_div(r25071, r25025, r25070, MPFR_RNDN); mpfr_add(r25072, r25068, r25071, MPFR_RNDN); return mpfr_get_d(r25072, MPFR_RNDN); } static mpfr_t r25073, r25074, r25075, r25076, r25077, r25078, r25079, r25080, r25081, r25082, r25083, r25084, r25085, r25086, r25087, r25088, r25089, r25090, r25091, r25092, r25093, r25094, r25095, r25096, r25097, r25098, r25099, r25100, r25101, r25102, r25103, r25104, r25105, r25106, r25107, r25108, r25109, r25110, r25111, r25112, r25113, r25114, r25115, r25116, r25117, r25118, r25119, r25120, r25121, r25122, r25123, r25124, r25125; void setup_mpfr_f_dm() { mpfr_set_default_prec(592); mpfr_init_set_str(r25073, "33096", 10, MPFR_RNDN); mpfr_init_set_str(r25074, "6", 10, MPFR_RNDN); mpfr_init(r25075); mpfr_init_set_str(r25076, "333.75", 10, MPFR_RNDN); mpfr_init(r25077); mpfr_init_set_str(r25078, "77617", 10, MPFR_RNDN); mpfr_init(r25079); mpfr_init_set_str(r25080, "11", 10, MPFR_RNDN); mpfr_init(r25081); mpfr_init(r25082); mpfr_init(r25083); mpfr_init(r25084); mpfr_init_set_str(r25085, "-2", 10, MPFR_RNDN); mpfr_init(r25086); mpfr_init_set_str(r25087, "4", 10, MPFR_RNDN); mpfr_init(r25088); mpfr_init_set_str(r25089, "-121", 10, MPFR_RNDN); mpfr_init(r25090); mpfr_init(r25091); mpfr_init(r25092); mpfr_init(r25093); mpfr_init(r25094); mpfr_init(r25095); mpfr_init(r25096); mpfr_init_set_str(r25097, "5.5", 10, MPFR_RNDN); mpfr_init_set_str(r25098, "8", 10, MPFR_RNDN); mpfr_init(r25099); mpfr_init(r25100); mpfr_init_set_str(r25101, "3", 10, MPFR_RNDN); mpfr_init(r25102); mpfr_init(r25103); mpfr_init(r25104); mpfr_init(r25105); mpfr_init(r25106); mpfr_init(r25107); mpfr_init(r25108); mpfr_init(r25109); mpfr_init(r25110); mpfr_init(r25111); mpfr_init(r25112); mpfr_init(r25113); mpfr_init(r25114); mpfr_init(r25115); mpfr_init(r25116); mpfr_init(r25117); mpfr_init(r25118); mpfr_init(r25119); mpfr_init(r25120); mpfr_init(r25121); mpfr_init_set_str(r25122, "2", 10, MPFR_RNDN); mpfr_init(r25123); mpfr_init(r25124); mpfr_init(r25125); } double f_dm() { ; ; mpfr_pow(r25075, r25073, r25074, MPFR_RNDN); ; mpfr_mul(r25077, r25075, r25076, MPFR_RNDN); ; mpfr_mul(r25079, r25078, r25078, MPFR_RNDN); ; mpfr_mul(r25081, r25078, r25080, MPFR_RNDN); mpfr_mul(r25082, r25073, r25081, MPFR_RNDN); mpfr_mul(r25083, r25078, r25073, MPFR_RNDN); mpfr_mul(r25084, r25082, r25083, MPFR_RNDN); ; mpfr_sub(r25086, r25075, r25085, MPFR_RNDN); ; mpfr_pow(r25088, r25073, r25087, MPFR_RNDN); ; mpfr_mul(r25090, r25088, r25089, MPFR_RNDN); mpfr_sub(r25091, r25086, r25090, MPFR_RNDN); mpfr_sub(r25092, r25084, r25091, MPFR_RNDN); mpfr_mul(r25093, r25079, r25092, MPFR_RNDN); mpfr_add(r25094, r25077, r25093, MPFR_RNDN); mpfr_mul(r25095, r25094, r25094, MPFR_RNDN); mpfr_mul(r25096, r25095, r25094, MPFR_RNDN); ; ; mpfr_pow(r25099, r25073, r25098, MPFR_RNDN); mpfr_mul(r25100, r25097, r25099, MPFR_RNDN); ; mpfr_pow(r25102, r25100, r25101, MPFR_RNDN); mpfr_add(r25103, r25096, r25102, MPFR_RNDN); mpfr_mul(r25104, r25100, r25100, MPFR_RNDN); mpfr_mul(r25105, r25080, r25073, MPFR_RNDN); mpfr_mul(r25106, r25073, r25105, MPFR_RNDN); mpfr_mul(r25107, r25079, r25106, MPFR_RNDN); mpfr_sub(r25108, r25107, r25091, MPFR_RNDN); mpfr_mul(r25109, r25079, r25108, MPFR_RNDN); mpfr_add(r25110, r25077, r25109, MPFR_RNDN); mpfr_sub(r25111, r25100, r25077, MPFR_RNDN); mpfr_log(r25112, r25091, MPFR_RNDN); mpfr_sqrt(r25113, r25112, MPFR_RNDN); mpfr_exp(r25114, r25113, MPFR_RNDN); mpfr_pow(r25115, r25114, r25113, MPFR_RNDN); mpfr_sub(r25116, r25107, r25115, MPFR_RNDN); mpfr_mul(r25117, r25079, r25116, MPFR_RNDN); mpfr_sub(r25118, r25111, r25117, MPFR_RNDN); mpfr_mul(r25119, r25110, r25118, MPFR_RNDN); mpfr_sub(r25120, r25104, r25119, MPFR_RNDN); mpfr_div(r25121, r25103, r25120, MPFR_RNDN); ; mpfr_mul(r25123, r25122, r25073, MPFR_RNDN); mpfr_div(r25124, r25078, r25123, MPFR_RNDN); mpfr_add(r25125, r25121, r25124, MPFR_RNDN); return mpfr_get_d(r25125, MPFR_RNDN); }