#include #include #include #include #include char *name = "Toniolo and Linder, Equation (13)"; double f_if(float n, float U, float t, float l, float Om, float U_) { float r24849 = 2; float r24850 = n; float r24851 = r24849 * r24850; float r24852 = U; float r24853 = r24851 * r24852; float r24854 = t; float r24855 = l; float r24856 = r24855 * r24855; float r24857 = Om; float r24858 = r24856 / r24857; float r24859 = r24849 * r24858; float r24860 = r24854 - r24859; float r24861 = r24855 / r24857; float r24862 = pow(r24861, r24849); float r24863 = r24850 * r24862; float r24864 = U_; float r24865 = r24852 - r24864; float r24866 = r24863 * r24865; float r24867 = r24860 - r24866; float r24868 = r24853 * r24867; float r24869 = sqrt(r24868); return r24869; } double f_id(double n, double U, double t, double l, double Om, double U_) { double r24870 = 2; double r24871 = n; double r24872 = r24870 * r24871; double r24873 = U; double r24874 = r24872 * r24873; double r24875 = t; double r24876 = l; double r24877 = r24876 * r24876; double r24878 = Om; double r24879 = r24877 / r24878; double r24880 = r24870 * r24879; double r24881 = r24875 - r24880; double r24882 = r24876 / r24878; double r24883 = pow(r24882, r24870); double r24884 = r24871 * r24883; double r24885 = U_; double r24886 = r24873 - r24885; double r24887 = r24884 * r24886; double r24888 = r24881 - r24887; double r24889 = r24874 * r24888; double r24890 = sqrt(r24889); return r24890; } double f_of(float n, float U, float t, float l, float Om, float U_) { float r24891 = U; float r24892 = n; float r24893 = r24891 * r24892; float r24894 = 2; float r24895 = r24893 * r24894; float r24896 = l; float r24897 = Om; float r24898 = r24896 / r24897; float r24899 = U_; float r24900 = r24899 - r24891; float r24901 = r24898 * r24892; float r24902 = r24900 * r24901; float r24903 = t; float r24904 = r24896 * r24894; float r24905 = r24904 * r24898; float r24906 = r24903 - r24905; float r24907 = fma(r24898, r24902, r24906); float r24908 = r24895 * r24907; float r24909 = 0; float r24910 = r24909 * r24892; float r24911 = r24891 * r24894; float r24912 = r24910 * r24911; float r24913 = r24908 + r24912; float r24914 = 1/2; float r24915 = pow(r24913, r24914); float r24916 = 3.834784177382421e-158; bool r24917 = r24915 <= r24916; float r24918 = r24894 * r24892; float r24919 = r24896 * r24896; float r24920 = r24919 / r24897; float r24921 = r24894 * r24920; float r24922 = r24903 - r24921; float r24923 = pow(r24898, r24894); float r24924 = r24892 * r24923; float r24925 = r24891 - r24899; float r24926 = r24924 * r24925; float r24927 = r24922 - r24926; float r24928 = r24891 * r24927; float r24929 = r24918 * r24928; float r24930 = sqrt(r24929); float r24931 = 4.3254879488048075e+145; bool r24932 = r24915 <= r24931; float r24933 = r24892 / r24897; float r24934 = r24896 * r24933; float r24935 = r24900 * r24934; float r24936 = fma(r24898, r24935, r24906); float r24937 = r24895 * r24936; float r24938 = r24937 + r24912; float r24939 = sqrt(r24938); float r24940 = r24918 * r24891; float r24941 = sqrt(r24940); float r24942 = sqrt(r24927); float r24943 = r24941 * r24942; float r24944 = r24932 ? r24939 : r24943; float r24945 = r24917 ? r24930 : r24944; return r24945; } double f_od(double n, double U, double t, double l, double Om, double U_) { double r24946 = U; double r24947 = n; double r24948 = r24946 * r24947; double r24949 = 2; double r24950 = r24948 * r24949; double r24951 = l; double r24952 = Om; double r24953 = r24951 / r24952; double r24954 = U_; double r24955 = r24954 - r24946; double r24956 = r24953 * r24947; double r24957 = r24955 * r24956; double r24958 = t; double r24959 = r24951 * r24949; double r24960 = r24959 * r24953; double r24961 = r24958 - r24960; double r24962 = fma(r24953, r24957, r24961); double r24963 = r24950 * r24962; double r24964 = 0; double r24965 = r24964 * r24947; double r24966 = r24946 * r24949; double r24967 = r24965 * r24966; double r24968 = r24963 + r24967; double r24969 = 1/2; double r24970 = pow(r24968, r24969); double r24971 = 3.834784177382421e-158; bool r24972 = r24970 <= r24971; double r24973 = r24949 * r24947; double r24974 = r24951 * r24951; double r24975 = r24974 / r24952; double r24976 = r24949 * r24975; double r24977 = r24958 - r24976; double r24978 = pow(r24953, r24949); double r24979 = r24947 * r24978; double r24980 = r24946 - r24954; double r24981 = r24979 * r24980; double r24982 = r24977 - r24981; double r24983 = r24946 * r24982; double r24984 = r24973 * r24983; double r24985 = sqrt(r24984); double r24986 = 4.3254879488048075e+145; bool r24987 = r24970 <= r24986; double r24988 = r24947 / r24952; double r24989 = r24951 * r24988; double r24990 = r24955 * r24989; double r24991 = fma(r24953, r24990, r24961); double r24992 = r24950 * r24991; double r24993 = r24992 + r24967; double r24994 = sqrt(r24993); double r24995 = r24973 * r24946; double r24996 = sqrt(r24995); double r24997 = sqrt(r24982); double r24998 = r24996 * r24997; double r24999 = r24987 ? r24994 : r24998; double r25000 = r24972 ? r24985 : r24999; return r25000; } 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 r25001, r25002, r25003, r25004, r25005, r25006, r25007, r25008, r25009, r25010, r25011, r25012, r25013, r25014, r25015, r25016, r25017, r25018, r25019, r25020, r25021; void setup_mpfr_f_im() { mpfr_set_default_prec(592); mpfr_init_set_str(r25001, "2", 10, MPFR_RNDN); mpfr_init(r25002); mpfr_init(r25003); mpfr_init(r25004); mpfr_init(r25005); mpfr_init(r25006); mpfr_init(r25007); mpfr_init(r25008); mpfr_init(r25009); mpfr_init(r25010); mpfr_init(r25011); mpfr_init(r25012); mpfr_init(r25013); mpfr_init(r25014); mpfr_init(r25015); mpfr_init(r25016); mpfr_init(r25017); mpfr_init(r25018); mpfr_init(r25019); mpfr_init(r25020); mpfr_init(r25021); } double f_im(double n, double U, double t, double l, double Om, double U_) { ; mpfr_set_d(r25002, n, MPFR_RNDN); mpfr_mul(r25003, r25001, r25002, MPFR_RNDN); mpfr_set_d(r25004, U, MPFR_RNDN); mpfr_mul(r25005, r25003, r25004, MPFR_RNDN); mpfr_set_d(r25006, t, MPFR_RNDN); mpfr_set_d(r25007, l, MPFR_RNDN); mpfr_mul(r25008, r25007, r25007, MPFR_RNDN); mpfr_set_d(r25009, Om, MPFR_RNDN); mpfr_div(r25010, r25008, r25009, MPFR_RNDN); mpfr_mul(r25011, r25001, r25010, MPFR_RNDN); mpfr_sub(r25012, r25006, r25011, MPFR_RNDN); mpfr_div(r25013, r25007, r25009, MPFR_RNDN); mpfr_pow(r25014, r25013, r25001, MPFR_RNDN); mpfr_mul(r25015, r25002, r25014, MPFR_RNDN); mpfr_set_d(r25016, U_, MPFR_RNDN); mpfr_sub(r25017, r25004, r25016, MPFR_RNDN); mpfr_mul(r25018, r25015, r25017, MPFR_RNDN); mpfr_sub(r25019, r25012, r25018, MPFR_RNDN); mpfr_mul(r25020, r25005, r25019, MPFR_RNDN); mpfr_sqrt(r25021, r25020, MPFR_RNDN); return mpfr_get_d(r25021, MPFR_RNDN); } static mpfr_t 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, r25073, r25074, r25075, r25076; void setup_mpfr_f_fm() { mpfr_set_default_prec(592); mpfr_init(r25022); mpfr_init(r25023); mpfr_init(r25024); mpfr_init_set_str(r25025, "2", 10, MPFR_RNDN); mpfr_init(r25026); mpfr_init(r25027); mpfr_init(r25028); mpfr_init(r25029); mpfr_init(r25030); mpfr_init(r25031); mpfr_init(r25032); mpfr_init(r25033); mpfr_init(r25034); mpfr_init(r25035); mpfr_init(r25036); mpfr_init(r25037); mpfr_init(r25038); mpfr_init(r25039); mpfr_init_set_str(r25040, "0", 10, MPFR_RNDN); mpfr_init(r25041); mpfr_init(r25042); mpfr_init(r25043); mpfr_init(r25044); mpfr_init_set_str(r25045, "1/2", 10, MPFR_RNDN); mpfr_init(r25046); mpfr_init_set_str(r25047, "3.834784177382421e-158", 10, MPFR_RNDN); mpfr_init(r25048); 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_set_str(r25062, "4.3254879488048075e+145", 10, MPFR_RNDN); mpfr_init(r25063); mpfr_init(r25064); mpfr_init(r25065); mpfr_init(r25066); mpfr_init(r25067); mpfr_init(r25068); mpfr_init(r25069); mpfr_init(r25070); mpfr_init(r25071); mpfr_init(r25072); mpfr_init(r25073); mpfr_init(r25074); mpfr_init(r25075); mpfr_init(r25076); } double f_fm(double n, double U, double t, double l, double Om, double U_) { mpfr_set_d(r25022, U, MPFR_RNDN); mpfr_set_d(r25023, n, MPFR_RNDN); mpfr_mul(r25024, r25022, r25023, MPFR_RNDN); ; mpfr_mul(r25026, r25024, r25025, MPFR_RNDN); mpfr_set_d(r25027, l, MPFR_RNDN); mpfr_set_d(r25028, Om, MPFR_RNDN); mpfr_div(r25029, r25027, r25028, MPFR_RNDN); mpfr_set_d(r25030, U_, MPFR_RNDN); mpfr_sub(r25031, r25030, r25022, MPFR_RNDN); mpfr_mul(r25032, r25029, r25023, MPFR_RNDN); mpfr_mul(r25033, r25031, r25032, MPFR_RNDN); mpfr_set_d(r25034, t, MPFR_RNDN); mpfr_mul(r25035, r25027, r25025, MPFR_RNDN); mpfr_mul(r25036, r25035, r25029, MPFR_RNDN); mpfr_sub(r25037, r25034, r25036, MPFR_RNDN); mpfr_fma(r25038, r25029, r25033, r25037, MPFR_RNDN); mpfr_mul(r25039, r25026, r25038, MPFR_RNDN); ; mpfr_mul(r25041, r25040, r25023, MPFR_RNDN); mpfr_mul(r25042, r25022, r25025, MPFR_RNDN); mpfr_mul(r25043, r25041, r25042, MPFR_RNDN); mpfr_add(r25044, r25039, r25043, MPFR_RNDN); ; mpfr_pow(r25046, r25044, r25045, MPFR_RNDN); ; mpfr_set_si(r25048, mpfr_cmp(r25046, r25047) <= 0, MPFR_RNDN); mpfr_mul(r25049, r25025, r25023, MPFR_RNDN); mpfr_mul(r25050, r25027, r25027, MPFR_RNDN); mpfr_div(r25051, r25050, r25028, MPFR_RNDN); mpfr_mul(r25052, r25025, r25051, MPFR_RNDN); mpfr_sub(r25053, r25034, r25052, MPFR_RNDN); mpfr_pow(r25054, r25029, r25025, MPFR_RNDN); mpfr_mul(r25055, r25023, r25054, MPFR_RNDN); mpfr_sub(r25056, r25022, r25030, MPFR_RNDN); mpfr_mul(r25057, r25055, r25056, MPFR_RNDN); mpfr_sub(r25058, r25053, r25057, MPFR_RNDN); mpfr_mul(r25059, r25022, r25058, MPFR_RNDN); mpfr_mul(r25060, r25049, r25059, MPFR_RNDN); mpfr_sqrt(r25061, r25060, MPFR_RNDN); ; mpfr_set_si(r25063, mpfr_cmp(r25046, r25062) <= 0, MPFR_RNDN); mpfr_div(r25064, r25023, r25028, MPFR_RNDN); mpfr_mul(r25065, r25027, r25064, MPFR_RNDN); mpfr_mul(r25066, r25031, r25065, MPFR_RNDN); mpfr_fma(r25067, r25029, r25066, r25037, MPFR_RNDN); mpfr_mul(r25068, r25026, r25067, MPFR_RNDN); mpfr_add(r25069, r25068, r25043, MPFR_RNDN); mpfr_sqrt(r25070, r25069, MPFR_RNDN); mpfr_mul(r25071, r25049, r25022, MPFR_RNDN); mpfr_sqrt(r25072, r25071, MPFR_RNDN); mpfr_sqrt(r25073, r25058, MPFR_RNDN); mpfr_mul(r25074, r25072, r25073, MPFR_RNDN); if (mpfr_get_si(r25063, MPFR_RNDN)) { mpfr_set(r25075, r25070, MPFR_RNDN); } else { mpfr_set(r25075, r25074, MPFR_RNDN); }; if (mpfr_get_si(r25048, MPFR_RNDN)) { mpfr_set(r25076, r25061, MPFR_RNDN); } else { mpfr_set(r25076, r25075, MPFR_RNDN); }; return mpfr_get_d(r25076, MPFR_RNDN); } static mpfr_t 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, r25126, r25127, r25128, r25129, r25130, r25131; void setup_mpfr_f_dm() { mpfr_set_default_prec(592); mpfr_init(r25077); mpfr_init(r25078); mpfr_init(r25079); mpfr_init_set_str(r25080, "2", 10, MPFR_RNDN); mpfr_init(r25081); mpfr_init(r25082); mpfr_init(r25083); mpfr_init(r25084); mpfr_init(r25085); mpfr_init(r25086); mpfr_init(r25087); mpfr_init(r25088); mpfr_init(r25089); mpfr_init(r25090); mpfr_init(r25091); mpfr_init(r25092); mpfr_init(r25093); mpfr_init(r25094); mpfr_init_set_str(r25095, "0", 10, MPFR_RNDN); mpfr_init(r25096); mpfr_init(r25097); mpfr_init(r25098); mpfr_init(r25099); mpfr_init_set_str(r25100, "1/2", 10, MPFR_RNDN); mpfr_init(r25101); mpfr_init_set_str(r25102, "3.834784177382421e-158", 10, MPFR_RNDN); 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_set_str(r25117, "4.3254879488048075e+145", 10, MPFR_RNDN); mpfr_init(r25118); mpfr_init(r25119); mpfr_init(r25120); mpfr_init(r25121); mpfr_init(r25122); mpfr_init(r25123); mpfr_init(r25124); mpfr_init(r25125); mpfr_init(r25126); mpfr_init(r25127); mpfr_init(r25128); mpfr_init(r25129); mpfr_init(r25130); mpfr_init(r25131); } double f_dm(double n, double U, double t, double l, double Om, double U_) { mpfr_set_d(r25077, U, MPFR_RNDN); mpfr_set_d(r25078, n, MPFR_RNDN); mpfr_mul(r25079, r25077, r25078, MPFR_RNDN); ; mpfr_mul(r25081, r25079, r25080, MPFR_RNDN); mpfr_set_d(r25082, l, MPFR_RNDN); mpfr_set_d(r25083, Om, MPFR_RNDN); mpfr_div(r25084, r25082, r25083, MPFR_RNDN); mpfr_set_d(r25085, U_, MPFR_RNDN); mpfr_sub(r25086, r25085, r25077, MPFR_RNDN); mpfr_mul(r25087, r25084, r25078, MPFR_RNDN); mpfr_mul(r25088, r25086, r25087, MPFR_RNDN); mpfr_set_d(r25089, t, MPFR_RNDN); mpfr_mul(r25090, r25082, r25080, MPFR_RNDN); mpfr_mul(r25091, r25090, r25084, MPFR_RNDN); mpfr_sub(r25092, r25089, r25091, MPFR_RNDN); mpfr_fma(r25093, r25084, r25088, r25092, MPFR_RNDN); mpfr_mul(r25094, r25081, r25093, MPFR_RNDN); ; mpfr_mul(r25096, r25095, r25078, MPFR_RNDN); mpfr_mul(r25097, r25077, r25080, MPFR_RNDN); mpfr_mul(r25098, r25096, r25097, MPFR_RNDN); mpfr_add(r25099, r25094, r25098, MPFR_RNDN); ; mpfr_pow(r25101, r25099, r25100, MPFR_RNDN); ; mpfr_set_si(r25103, mpfr_cmp(r25101, r25102) <= 0, MPFR_RNDN); mpfr_mul(r25104, r25080, r25078, MPFR_RNDN); mpfr_mul(r25105, r25082, r25082, MPFR_RNDN); mpfr_div(r25106, r25105, r25083, MPFR_RNDN); mpfr_mul(r25107, r25080, r25106, MPFR_RNDN); mpfr_sub(r25108, r25089, r25107, MPFR_RNDN); mpfr_pow(r25109, r25084, r25080, MPFR_RNDN); mpfr_mul(r25110, r25078, r25109, MPFR_RNDN); mpfr_sub(r25111, r25077, r25085, MPFR_RNDN); mpfr_mul(r25112, r25110, r25111, MPFR_RNDN); mpfr_sub(r25113, r25108, r25112, MPFR_RNDN); mpfr_mul(r25114, r25077, r25113, MPFR_RNDN); mpfr_mul(r25115, r25104, r25114, MPFR_RNDN); mpfr_sqrt(r25116, r25115, MPFR_RNDN); ; mpfr_set_si(r25118, mpfr_cmp(r25101, r25117) <= 0, MPFR_RNDN); mpfr_div(r25119, r25078, r25083, MPFR_RNDN); mpfr_mul(r25120, r25082, r25119, MPFR_RNDN); mpfr_mul(r25121, r25086, r25120, MPFR_RNDN); mpfr_fma(r25122, r25084, r25121, r25092, MPFR_RNDN); mpfr_mul(r25123, r25081, r25122, MPFR_RNDN); mpfr_add(r25124, r25123, r25098, MPFR_RNDN); mpfr_sqrt(r25125, r25124, MPFR_RNDN); mpfr_mul(r25126, r25104, r25077, MPFR_RNDN); mpfr_sqrt(r25127, r25126, MPFR_RNDN); mpfr_sqrt(r25128, r25113, MPFR_RNDN); mpfr_mul(r25129, r25127, r25128, MPFR_RNDN); if (mpfr_get_si(r25118, MPFR_RNDN)) { mpfr_set(r25130, r25125, MPFR_RNDN); } else { mpfr_set(r25130, r25129, MPFR_RNDN); }; if (mpfr_get_si(r25103, MPFR_RNDN)) { mpfr_set(r25131, r25116, MPFR_RNDN); } else { mpfr_set(r25131, r25130, MPFR_RNDN); }; return mpfr_get_d(r25131, MPFR_RNDN); }