#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 r23916 = 2; float r23917 = n; float r23918 = r23916 * r23917; float r23919 = U; float r23920 = r23918 * r23919; float r23921 = t; float r23922 = l; float r23923 = r23922 * r23922; float r23924 = Om; float r23925 = r23923 / r23924; float r23926 = r23916 * r23925; float r23927 = r23921 - r23926; float r23928 = r23922 / r23924; float r23929 = pow(r23928, r23916); float r23930 = r23917 * r23929; float r23931 = U_; float r23932 = r23919 - r23931; float r23933 = r23930 * r23932; float r23934 = r23927 - r23933; float r23935 = r23920 * r23934; float r23936 = sqrt(r23935); return r23936; } double f_id(double n, double U, double t, double l, double Om, double U_) { double r23937 = 2; double r23938 = n; double r23939 = r23937 * r23938; double r23940 = U; double r23941 = r23939 * r23940; double r23942 = t; double r23943 = l; double r23944 = r23943 * r23943; double r23945 = Om; double r23946 = r23944 / r23945; double r23947 = r23937 * r23946; double r23948 = r23942 - r23947; double r23949 = r23943 / r23945; double r23950 = pow(r23949, r23937); double r23951 = r23938 * r23950; double r23952 = U_; double r23953 = r23940 - r23952; double r23954 = r23951 * r23953; double r23955 = r23948 - r23954; double r23956 = r23941 * r23955; double r23957 = sqrt(r23956); return r23957; } double f_of(float n, float U, float t, float l, float Om, float U_) { float r23958 = U; float r23959 = n; float r23960 = r23958 * r23959; float r23961 = 2; float r23962 = r23960 * r23961; float r23963 = l; float r23964 = Om; float r23965 = r23963 / r23964; float r23966 = U_; float r23967 = r23966 - r23958; float r23968 = r23967 * r23965; float r23969 = r23968 * r23959; float r23970 = t; float r23971 = r23963 * r23961; float r23972 = r23971 * r23965; float r23973 = r23970 - r23972; float r23974 = fma(r23965, r23969, r23973); float r23975 = r23962 * r23974; float r23976 = 0; float r23977 = r23976 * r23959; float r23978 = r23958 * r23961; float r23979 = r23977 * r23978; float r23980 = r23975 + r23979; float r23981 = sqrt(r23980); float r23982 = 3.3479722410106387e-152; bool r23983 = r23981 <= r23982; float r23984 = r23959 * r23965; float r23985 = r23965 * r23984; float r23986 = r23965 * r23971; float r23987 = r23970 - r23986; float r23988 = fma(r23967, r23985, r23987); float r23989 = r23959 * r23961; float r23990 = r23988 * r23989; float r23991 = r23990 * r23958; float r23992 = r23991 + r23979; float r23993 = sqrt(r23992); float r23994 = 3.2723498741228846e+151; bool r23995 = r23981 <= r23994; float r23996 = r23959 / r23964; float r23997 = r23996 * r23996; float r23998 = r23963 * r23963; float r23999 = r23966 * r23958; float r24000 = r23998 * r23999; float r24001 = r23970 * r23958; float r24002 = r23959 * r24001; float r24003 = fma(r23997, r24000, r24002); float r24004 = r23963 * r23958; float r24005 = r24004 * r24004; float r24006 = r23997 * r24005; float r24007 = r24003 - r24006; float r24008 = r23961 * r24007; float r24009 = sqrt(r24008); float r24010 = r23995 ? r23981 : r24009; float r24011 = r23983 ? r23993 : r24010; return r24011; } double f_od(double n, double U, double t, double l, double Om, double U_) { double r24012 = U; double r24013 = n; double r24014 = r24012 * r24013; double r24015 = 2; double r24016 = r24014 * r24015; double r24017 = l; double r24018 = Om; double r24019 = r24017 / r24018; double r24020 = U_; double r24021 = r24020 - r24012; double r24022 = r24021 * r24019; double r24023 = r24022 * r24013; double r24024 = t; double r24025 = r24017 * r24015; double r24026 = r24025 * r24019; double r24027 = r24024 - r24026; double r24028 = fma(r24019, r24023, r24027); double r24029 = r24016 * r24028; double r24030 = 0; double r24031 = r24030 * r24013; double r24032 = r24012 * r24015; double r24033 = r24031 * r24032; double r24034 = r24029 + r24033; double r24035 = sqrt(r24034); double r24036 = 3.3479722410106387e-152; bool r24037 = r24035 <= r24036; double r24038 = r24013 * r24019; double r24039 = r24019 * r24038; double r24040 = r24019 * r24025; double r24041 = r24024 - r24040; double r24042 = fma(r24021, r24039, r24041); double r24043 = r24013 * r24015; double r24044 = r24042 * r24043; double r24045 = r24044 * r24012; double r24046 = r24045 + r24033; double r24047 = sqrt(r24046); double r24048 = 3.2723498741228846e+151; bool r24049 = r24035 <= r24048; double r24050 = r24013 / r24018; double r24051 = r24050 * r24050; double r24052 = r24017 * r24017; double r24053 = r24020 * r24012; double r24054 = r24052 * r24053; double r24055 = r24024 * r24012; double r24056 = r24013 * r24055; double r24057 = fma(r24051, r24054, r24056); double r24058 = r24017 * r24012; double r24059 = r24058 * r24058; double r24060 = r24051 * r24059; double r24061 = r24057 - r24060; double r24062 = r24015 * r24061; double r24063 = sqrt(r24062); double r24064 = r24049 ? r24035 : r24063; double r24065 = r24037 ? r24047 : r24064; return r24065; } 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 r24066, r24067, r24068, r24069, r24070, r24071, r24072, r24073, r24074, r24075, r24076, r24077, r24078, r24079, r24080, r24081, r24082, r24083, r24084, r24085, r24086; void setup_mpfr_f_im() { mpfr_set_default_prec(592); mpfr_init_set_str(r24066, "2", 10, MPFR_RNDN); mpfr_init(r24067); mpfr_init(r24068); mpfr_init(r24069); mpfr_init(r24070); mpfr_init(r24071); mpfr_init(r24072); mpfr_init(r24073); mpfr_init(r24074); mpfr_init(r24075); mpfr_init(r24076); mpfr_init(r24077); mpfr_init(r24078); mpfr_init(r24079); mpfr_init(r24080); mpfr_init(r24081); mpfr_init(r24082); mpfr_init(r24083); mpfr_init(r24084); mpfr_init(r24085); mpfr_init(r24086); } double f_im(double n, double U, double t, double l, double Om, double U_) { ; mpfr_set_d(r24067, n, MPFR_RNDN); mpfr_mul(r24068, r24066, r24067, MPFR_RNDN); mpfr_set_d(r24069, U, MPFR_RNDN); mpfr_mul(r24070, r24068, r24069, MPFR_RNDN); mpfr_set_d(r24071, t, MPFR_RNDN); mpfr_set_d(r24072, l, MPFR_RNDN); mpfr_mul(r24073, r24072, r24072, MPFR_RNDN); mpfr_set_d(r24074, Om, MPFR_RNDN); mpfr_div(r24075, r24073, r24074, MPFR_RNDN); mpfr_mul(r24076, r24066, r24075, MPFR_RNDN); mpfr_sub(r24077, r24071, r24076, MPFR_RNDN); mpfr_div(r24078, r24072, r24074, MPFR_RNDN); mpfr_pow(r24079, r24078, r24066, MPFR_RNDN); mpfr_mul(r24080, r24067, r24079, MPFR_RNDN); mpfr_set_d(r24081, U_, MPFR_RNDN); mpfr_sub(r24082, r24069, r24081, MPFR_RNDN); mpfr_mul(r24083, r24080, r24082, MPFR_RNDN); mpfr_sub(r24084, r24077, r24083, MPFR_RNDN); mpfr_mul(r24085, r24070, r24084, MPFR_RNDN); mpfr_sqrt(r24086, r24085, MPFR_RNDN); return mpfr_get_d(r24086, MPFR_RNDN); } static mpfr_t r24087, r24088, r24089, r24090, r24091, r24092, r24093, r24094, r24095, r24096, r24097, r24098, r24099, r24100, r24101, r24102, r24103, r24104, r24105, r24106, r24107, r24108, r24109, r24110, r24111, r24112, r24113, r24114, r24115, r24116, r24117, r24118, r24119, r24120, r24121, r24122, r24123, r24124, r24125, r24126, r24127, r24128, r24129, r24130, r24131, r24132, r24133, r24134, r24135, r24136, r24137, r24138, r24139, r24140; void setup_mpfr_f_fm() { mpfr_set_default_prec(592); mpfr_init(r24087); mpfr_init(r24088); mpfr_init(r24089); mpfr_init_set_str(r24090, "2", 10, MPFR_RNDN); mpfr_init(r24091); mpfr_init(r24092); mpfr_init(r24093); mpfr_init(r24094); mpfr_init(r24095); mpfr_init(r24096); mpfr_init(r24097); mpfr_init(r24098); mpfr_init(r24099); mpfr_init(r24100); mpfr_init(r24101); mpfr_init(r24102); mpfr_init(r24103); mpfr_init(r24104); mpfr_init_set_str(r24105, "0", 10, MPFR_RNDN); mpfr_init(r24106); mpfr_init(r24107); mpfr_init(r24108); mpfr_init(r24109); mpfr_init(r24110); mpfr_init_set_str(r24111, "3.3479722410106387e-152", 10, MPFR_RNDN); mpfr_init(r24112); mpfr_init(r24113); mpfr_init(r24114); mpfr_init(r24115); mpfr_init(r24116); mpfr_init(r24117); mpfr_init(r24118); mpfr_init(r24119); mpfr_init(r24120); mpfr_init(r24121); mpfr_init(r24122); mpfr_init_set_str(r24123, "3.2723498741228846e+151", 10, MPFR_RNDN); mpfr_init(r24124); mpfr_init(r24125); mpfr_init(r24126); mpfr_init(r24127); mpfr_init(r24128); mpfr_init(r24129); mpfr_init(r24130); mpfr_init(r24131); mpfr_init(r24132); mpfr_init(r24133); mpfr_init(r24134); mpfr_init(r24135); mpfr_init(r24136); mpfr_init(r24137); mpfr_init(r24138); mpfr_init(r24139); mpfr_init(r24140); } double f_fm(double n, double U, double t, double l, double Om, double U_) { mpfr_set_d(r24087, U, MPFR_RNDN); mpfr_set_d(r24088, n, MPFR_RNDN); mpfr_mul(r24089, r24087, r24088, MPFR_RNDN); ; mpfr_mul(r24091, r24089, r24090, MPFR_RNDN); mpfr_set_d(r24092, l, MPFR_RNDN); mpfr_set_d(r24093, Om, MPFR_RNDN); mpfr_div(r24094, r24092, r24093, MPFR_RNDN); mpfr_set_d(r24095, U_, MPFR_RNDN); mpfr_sub(r24096, r24095, r24087, MPFR_RNDN); mpfr_mul(r24097, r24096, r24094, MPFR_RNDN); mpfr_mul(r24098, r24097, r24088, MPFR_RNDN); mpfr_set_d(r24099, t, MPFR_RNDN); mpfr_mul(r24100, r24092, r24090, MPFR_RNDN); mpfr_mul(r24101, r24100, r24094, MPFR_RNDN); mpfr_sub(r24102, r24099, r24101, MPFR_RNDN); mpfr_fma(r24103, r24094, r24098, r24102, MPFR_RNDN); mpfr_mul(r24104, r24091, r24103, MPFR_RNDN); ; mpfr_mul(r24106, r24105, r24088, MPFR_RNDN); mpfr_mul(r24107, r24087, r24090, MPFR_RNDN); mpfr_mul(r24108, r24106, r24107, MPFR_RNDN); mpfr_add(r24109, r24104, r24108, MPFR_RNDN); mpfr_sqrt(r24110, r24109, MPFR_RNDN); ; mpfr_set_si(r24112, mpfr_cmp(r24110, r24111) <= 0, MPFR_RNDN); mpfr_mul(r24113, r24088, r24094, MPFR_RNDN); mpfr_mul(r24114, r24094, r24113, MPFR_RNDN); mpfr_mul(r24115, r24094, r24100, MPFR_RNDN); mpfr_sub(r24116, r24099, r24115, MPFR_RNDN); mpfr_fma(r24117, r24096, r24114, r24116, MPFR_RNDN); mpfr_mul(r24118, r24088, r24090, MPFR_RNDN); mpfr_mul(r24119, r24117, r24118, MPFR_RNDN); mpfr_mul(r24120, r24119, r24087, MPFR_RNDN); mpfr_add(r24121, r24120, r24108, MPFR_RNDN); mpfr_sqrt(r24122, r24121, MPFR_RNDN); ; mpfr_set_si(r24124, mpfr_cmp(r24110, r24123) <= 0, MPFR_RNDN); mpfr_div(r24125, r24088, r24093, MPFR_RNDN); mpfr_mul(r24126, r24125, r24125, MPFR_RNDN); mpfr_mul(r24127, r24092, r24092, MPFR_RNDN); mpfr_mul(r24128, r24095, r24087, MPFR_RNDN); mpfr_mul(r24129, r24127, r24128, MPFR_RNDN); mpfr_mul(r24130, r24099, r24087, MPFR_RNDN); mpfr_mul(r24131, r24088, r24130, MPFR_RNDN); mpfr_fma(r24132, r24126, r24129, r24131, MPFR_RNDN); mpfr_mul(r24133, r24092, r24087, MPFR_RNDN); mpfr_mul(r24134, r24133, r24133, MPFR_RNDN); mpfr_mul(r24135, r24126, r24134, MPFR_RNDN); mpfr_sub(r24136, r24132, r24135, MPFR_RNDN); mpfr_mul(r24137, r24090, r24136, MPFR_RNDN); mpfr_sqrt(r24138, r24137, MPFR_RNDN); if (mpfr_get_si(r24124, MPFR_RNDN)) { mpfr_set(r24139, r24110, MPFR_RNDN); } else { mpfr_set(r24139, r24138, MPFR_RNDN); }; if (mpfr_get_si(r24112, MPFR_RNDN)) { mpfr_set(r24140, r24122, MPFR_RNDN); } else { mpfr_set(r24140, r24139, MPFR_RNDN); }; return mpfr_get_d(r24140, MPFR_RNDN); } static mpfr_t r24141, r24142, r24143, r24144, r24145, r24146, r24147, r24148, r24149, r24150, r24151, r24152, r24153, r24154, r24155, r24156, r24157, r24158, r24159, r24160, r24161, r24162, r24163, r24164, r24165, r24166, r24167, r24168, r24169, r24170, r24171, r24172, r24173, r24174, r24175, r24176, r24177, r24178, r24179, r24180, r24181, r24182, r24183, r24184, r24185, r24186, r24187, r24188, r24189, r24190, r24191, r24192, r24193, r24194; void setup_mpfr_f_dm() { mpfr_set_default_prec(592); mpfr_init(r24141); mpfr_init(r24142); mpfr_init(r24143); mpfr_init_set_str(r24144, "2", 10, MPFR_RNDN); mpfr_init(r24145); mpfr_init(r24146); mpfr_init(r24147); mpfr_init(r24148); mpfr_init(r24149); mpfr_init(r24150); mpfr_init(r24151); mpfr_init(r24152); mpfr_init(r24153); mpfr_init(r24154); mpfr_init(r24155); mpfr_init(r24156); mpfr_init(r24157); mpfr_init(r24158); mpfr_init_set_str(r24159, "0", 10, MPFR_RNDN); mpfr_init(r24160); mpfr_init(r24161); mpfr_init(r24162); mpfr_init(r24163); mpfr_init(r24164); mpfr_init_set_str(r24165, "3.3479722410106387e-152", 10, MPFR_RNDN); mpfr_init(r24166); mpfr_init(r24167); mpfr_init(r24168); mpfr_init(r24169); mpfr_init(r24170); mpfr_init(r24171); mpfr_init(r24172); mpfr_init(r24173); mpfr_init(r24174); mpfr_init(r24175); mpfr_init(r24176); mpfr_init_set_str(r24177, "3.2723498741228846e+151", 10, MPFR_RNDN); mpfr_init(r24178); mpfr_init(r24179); mpfr_init(r24180); mpfr_init(r24181); mpfr_init(r24182); mpfr_init(r24183); mpfr_init(r24184); mpfr_init(r24185); mpfr_init(r24186); mpfr_init(r24187); mpfr_init(r24188); mpfr_init(r24189); mpfr_init(r24190); mpfr_init(r24191); mpfr_init(r24192); mpfr_init(r24193); mpfr_init(r24194); } double f_dm(double n, double U, double t, double l, double Om, double U_) { mpfr_set_d(r24141, U, MPFR_RNDN); mpfr_set_d(r24142, n, MPFR_RNDN); mpfr_mul(r24143, r24141, r24142, MPFR_RNDN); ; mpfr_mul(r24145, r24143, r24144, MPFR_RNDN); mpfr_set_d(r24146, l, MPFR_RNDN); mpfr_set_d(r24147, Om, MPFR_RNDN); mpfr_div(r24148, r24146, r24147, MPFR_RNDN); mpfr_set_d(r24149, U_, MPFR_RNDN); mpfr_sub(r24150, r24149, r24141, MPFR_RNDN); mpfr_mul(r24151, r24150, r24148, MPFR_RNDN); mpfr_mul(r24152, r24151, r24142, MPFR_RNDN); mpfr_set_d(r24153, t, MPFR_RNDN); mpfr_mul(r24154, r24146, r24144, MPFR_RNDN); mpfr_mul(r24155, r24154, r24148, MPFR_RNDN); mpfr_sub(r24156, r24153, r24155, MPFR_RNDN); mpfr_fma(r24157, r24148, r24152, r24156, MPFR_RNDN); mpfr_mul(r24158, r24145, r24157, MPFR_RNDN); ; mpfr_mul(r24160, r24159, r24142, MPFR_RNDN); mpfr_mul(r24161, r24141, r24144, MPFR_RNDN); mpfr_mul(r24162, r24160, r24161, MPFR_RNDN); mpfr_add(r24163, r24158, r24162, MPFR_RNDN); mpfr_sqrt(r24164, r24163, MPFR_RNDN); ; mpfr_set_si(r24166, mpfr_cmp(r24164, r24165) <= 0, MPFR_RNDN); mpfr_mul(r24167, r24142, r24148, MPFR_RNDN); mpfr_mul(r24168, r24148, r24167, MPFR_RNDN); mpfr_mul(r24169, r24148, r24154, MPFR_RNDN); mpfr_sub(r24170, r24153, r24169, MPFR_RNDN); mpfr_fma(r24171, r24150, r24168, r24170, MPFR_RNDN); mpfr_mul(r24172, r24142, r24144, MPFR_RNDN); mpfr_mul(r24173, r24171, r24172, MPFR_RNDN); mpfr_mul(r24174, r24173, r24141, MPFR_RNDN); mpfr_add(r24175, r24174, r24162, MPFR_RNDN); mpfr_sqrt(r24176, r24175, MPFR_RNDN); ; mpfr_set_si(r24178, mpfr_cmp(r24164, r24177) <= 0, MPFR_RNDN); mpfr_div(r24179, r24142, r24147, MPFR_RNDN); mpfr_mul(r24180, r24179, r24179, MPFR_RNDN); mpfr_mul(r24181, r24146, r24146, MPFR_RNDN); mpfr_mul(r24182, r24149, r24141, MPFR_RNDN); mpfr_mul(r24183, r24181, r24182, MPFR_RNDN); mpfr_mul(r24184, r24153, r24141, MPFR_RNDN); mpfr_mul(r24185, r24142, r24184, MPFR_RNDN); mpfr_fma(r24186, r24180, r24183, r24185, MPFR_RNDN); mpfr_mul(r24187, r24146, r24141, MPFR_RNDN); mpfr_mul(r24188, r24187, r24187, MPFR_RNDN); mpfr_mul(r24189, r24180, r24188, MPFR_RNDN); mpfr_sub(r24190, r24186, r24189, MPFR_RNDN); mpfr_mul(r24191, r24144, r24190, MPFR_RNDN); mpfr_sqrt(r24192, r24191, MPFR_RNDN); if (mpfr_get_si(r24178, MPFR_RNDN)) { mpfr_set(r24193, r24164, MPFR_RNDN); } else { mpfr_set(r24193, r24192, MPFR_RNDN); }; if (mpfr_get_si(r24166, MPFR_RNDN)) { mpfr_set(r24194, r24176, MPFR_RNDN); } else { mpfr_set(r24194, r24193, MPFR_RNDN); }; return mpfr_get_d(r24194, MPFR_RNDN); }