#include <tgmath.h>
#include <gmp.h>
#include <mpfr.h>
#include <stdio.h>
#include <stdbool.h>

char *name = "Toniolo and Linder, Equation (13)";

double f_if(float n, float U, float t, float l, float Om, float U_) {
        float r22854 = 2;
        float r22855 = n;
        float r22856 = r22854 * r22855;
        float r22857 = U;
        float r22858 = r22856 * r22857;
        float r22859 = t;
        float r22860 = l;
        float r22861 = r22860 * r22860;
        float r22862 = Om;
        float r22863 = r22861 / r22862;
        float r22864 = r22854 * r22863;
        float r22865 = r22859 - r22864;
        float r22866 = r22860 / r22862;
        float r22867 = pow(r22866, r22854);
        float r22868 = r22855 * r22867;
        float r22869 = U_;
        float r22870 = r22857 - r22869;
        float r22871 = r22868 * r22870;
        float r22872 = r22865 - r22871;
        float r22873 = r22858 * r22872;
        float r22874 = sqrt(r22873);
        return r22874;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r22875 = 2;
        double r22876 = n;
        double r22877 = r22875 * r22876;
        double r22878 = U;
        double r22879 = r22877 * r22878;
        double r22880 = t;
        double r22881 = l;
        double r22882 = r22881 * r22881;
        double r22883 = Om;
        double r22884 = r22882 / r22883;
        double r22885 = r22875 * r22884;
        double r22886 = r22880 - r22885;
        double r22887 = r22881 / r22883;
        double r22888 = pow(r22887, r22875);
        double r22889 = r22876 * r22888;
        double r22890 = U_;
        double r22891 = r22878 - r22890;
        double r22892 = r22889 * r22891;
        double r22893 = r22886 - r22892;
        double r22894 = r22879 * r22893;
        double r22895 = sqrt(r22894);
        return r22895;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r22896 = U;
        float r22897 = 2;
        float r22898 = r22896 * r22897;
        float r22899 = n;
        float r22900 = r22898 * r22899;
        float r22901 = -5.662901191691462e-282;
        bool r22902 = r22900 <= r22901;
        float r22903 = l;
        float r22904 = Om;
        float r22905 = r22903 / r22904;
        float r22906 = -r22897;
        float r22907 = r22903 * r22906;
        float r22908 = U_;
        float r22909 = r22908 - r22896;
        float r22910 = r22899 * r22909;
        float r22911 = r22905 * r22905;
        float r22912 = t;
        float r22913 = fma(r22910, r22911, r22912);
        float r22914 = fma(r22905, r22907, r22913);
        float r22915 = r22896 * r22899;
        float r22916 = r22897 * r22915;
        float r22917 = r22914 * r22916;
        float r22918 = 0;
        float r22919 = r22896 * r22918;
        float r22920 = r22897 * r22899;
        float r22921 = r22919 * r22920;
        float r22922 = r22917 + r22921;
        float r22923 = sqrt(r22922);
        float r22924 = 2.5178784826924444e-294;
        bool r22925 = r22900 <= r22924;
        float r22926 = r22904 / r22903;
        float r22927 = r22903 / r22926;
        float r22928 = r22897 * r22927;
        float r22929 = r22912 - r22928;
        float r22930 = pow(r22905, r22897);
        float r22931 = r22899 * r22930;
        float r22932 = r22896 - r22908;
        float r22933 = r22931 * r22932;
        float r22934 = r22929 - r22933;
        float r22935 = r22896 * r22934;
        float r22936 = r22920 * r22935;
        float r22937 = sqrt(r22936);
        float r22938 = r22920 * r22896;
        float r22939 = sqrt(r22938);
        float r22940 = r22903 * r22903;
        float r22941 = r22940 / r22904;
        float r22942 = r22897 * r22941;
        float r22943 = r22912 - r22942;
        float r22944 = r22943 - r22933;
        float r22945 = sqrt(r22944);
        float r22946 = r22939 * r22945;
        float r22947 = r22925 ? r22937 : r22946;
        float r22948 = r22902 ? r22923 : r22947;
        return r22948;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r22949 = U;
        double r22950 = 2;
        double r22951 = r22949 * r22950;
        double r22952 = n;
        double r22953 = r22951 * r22952;
        double r22954 = -5.662901191691462e-282;
        bool r22955 = r22953 <= r22954;
        double r22956 = l;
        double r22957 = Om;
        double r22958 = r22956 / r22957;
        double r22959 = -r22950;
        double r22960 = r22956 * r22959;
        double r22961 = U_;
        double r22962 = r22961 - r22949;
        double r22963 = r22952 * r22962;
        double r22964 = r22958 * r22958;
        double r22965 = t;
        double r22966 = fma(r22963, r22964, r22965);
        double r22967 = fma(r22958, r22960, r22966);
        double r22968 = r22949 * r22952;
        double r22969 = r22950 * r22968;
        double r22970 = r22967 * r22969;
        double r22971 = 0;
        double r22972 = r22949 * r22971;
        double r22973 = r22950 * r22952;
        double r22974 = r22972 * r22973;
        double r22975 = r22970 + r22974;
        double r22976 = sqrt(r22975);
        double r22977 = 2.5178784826924444e-294;
        bool r22978 = r22953 <= r22977;
        double r22979 = r22957 / r22956;
        double r22980 = r22956 / r22979;
        double r22981 = r22950 * r22980;
        double r22982 = r22965 - r22981;
        double r22983 = pow(r22958, r22950);
        double r22984 = r22952 * r22983;
        double r22985 = r22949 - r22961;
        double r22986 = r22984 * r22985;
        double r22987 = r22982 - r22986;
        double r22988 = r22949 * r22987;
        double r22989 = r22973 * r22988;
        double r22990 = sqrt(r22989);
        double r22991 = r22973 * r22949;
        double r22992 = sqrt(r22991);
        double r22993 = r22956 * r22956;
        double r22994 = r22993 / r22957;
        double r22995 = r22950 * r22994;
        double r22996 = r22965 - r22995;
        double r22997 = r22996 - r22986;
        double r22998 = sqrt(r22997);
        double r22999 = r22992 * r22998;
        double r23000 = r22978 ? r22990 : r22999;
        double r23001 = r22955 ? r22976 : r23000;
        return r23001;
}

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 r23002, r23003, r23004, r23005, r23006, r23007, r23008, r23009, r23010, r23011, r23012, r23013, r23014, r23015, r23016, r23017, r23018, r23019, r23020, r23021, r23022;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r23002, "2", 10, MPFR_RNDN);
        mpfr_init(r23003);
        mpfr_init(r23004);
        mpfr_init(r23005);
        mpfr_init(r23006);
        mpfr_init(r23007);
        mpfr_init(r23008);
        mpfr_init(r23009);
        mpfr_init(r23010);
        mpfr_init(r23011);
        mpfr_init(r23012);
        mpfr_init(r23013);
        mpfr_init(r23014);
        mpfr_init(r23015);
        mpfr_init(r23016);
        mpfr_init(r23017);
        mpfr_init(r23018);
        mpfr_init(r23019);
        mpfr_init(r23020);
        mpfr_init(r23021);
        mpfr_init(r23022);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r23003, n, MPFR_RNDN);
        mpfr_mul(r23004, r23002, r23003, MPFR_RNDN);
        mpfr_set_d(r23005, U, MPFR_RNDN);
        mpfr_mul(r23006, r23004, r23005, MPFR_RNDN);
        mpfr_set_d(r23007, t, MPFR_RNDN);
        mpfr_set_d(r23008, l, MPFR_RNDN);
        mpfr_mul(r23009, r23008, r23008, MPFR_RNDN);
        mpfr_set_d(r23010, Om, MPFR_RNDN);
        mpfr_div(r23011, r23009, r23010, MPFR_RNDN);
        mpfr_mul(r23012, r23002, r23011, MPFR_RNDN);
        mpfr_sub(r23013, r23007, r23012, MPFR_RNDN);
        mpfr_div(r23014, r23008, r23010, MPFR_RNDN);
        mpfr_pow(r23015, r23014, r23002, MPFR_RNDN);
        mpfr_mul(r23016, r23003, r23015, MPFR_RNDN);
        mpfr_set_d(r23017, U_, MPFR_RNDN);
        mpfr_sub(r23018, r23005, r23017, MPFR_RNDN);
        mpfr_mul(r23019, r23016, r23018, MPFR_RNDN);
        mpfr_sub(r23020, r23013, r23019, MPFR_RNDN);
        mpfr_mul(r23021, r23006, r23020, MPFR_RNDN);
        mpfr_sqrt(r23022, r23021, MPFR_RNDN);
        return mpfr_get_d(r23022, MPFR_RNDN);
}

static mpfr_t r23023, r23024, r23025, r23026, r23027, r23028, r23029, r23030, r23031, r23032, r23033, r23034, r23035, r23036, r23037, r23038, r23039, r23040, r23041, r23042, r23043, r23044, r23045, r23046, r23047, r23048, r23049, r23050, r23051, r23052, r23053, r23054, r23055, r23056, r23057, r23058, r23059, r23060, r23061, r23062, r23063, r23064, r23065, r23066, r23067, r23068, r23069, r23070, r23071, r23072, r23073, r23074, r23075;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init(r23023);
        mpfr_init_set_str(r23024, "2", 10, MPFR_RNDN);
        mpfr_init(r23025);
        mpfr_init(r23026);
        mpfr_init(r23027);
        mpfr_init_set_str(r23028, "-5.662901191691462e-282", 10, MPFR_RNDN);
        mpfr_init(r23029);
        mpfr_init(r23030);
        mpfr_init(r23031);
        mpfr_init(r23032);
        mpfr_init(r23033);
        mpfr_init(r23034);
        mpfr_init(r23035);
        mpfr_init(r23036);
        mpfr_init(r23037);
        mpfr_init(r23038);
        mpfr_init(r23039);
        mpfr_init(r23040);
        mpfr_init(r23041);
        mpfr_init(r23042);
        mpfr_init(r23043);
        mpfr_init(r23044);
        mpfr_init_set_str(r23045, "0", 10, MPFR_RNDN);
        mpfr_init(r23046);
        mpfr_init(r23047);
        mpfr_init(r23048);
        mpfr_init(r23049);
        mpfr_init(r23050);
        mpfr_init_set_str(r23051, "2.5178784826924444e-294", 10, MPFR_RNDN);
        mpfr_init(r23052);
        mpfr_init(r23053);
        mpfr_init(r23054);
        mpfr_init(r23055);
        mpfr_init(r23056);
        mpfr_init(r23057);
        mpfr_init(r23058);
        mpfr_init(r23059);
        mpfr_init(r23060);
        mpfr_init(r23061);
        mpfr_init(r23062);
        mpfr_init(r23063);
        mpfr_init(r23064);
        mpfr_init(r23065);
        mpfr_init(r23066);
        mpfr_init(r23067);
        mpfr_init(r23068);
        mpfr_init(r23069);
        mpfr_init(r23070);
        mpfr_init(r23071);
        mpfr_init(r23072);
        mpfr_init(r23073);
        mpfr_init(r23074);
        mpfr_init(r23075);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r23023, U, MPFR_RNDN);
        ;
        mpfr_mul(r23025, r23023, r23024, MPFR_RNDN);
        mpfr_set_d(r23026, n, MPFR_RNDN);
        mpfr_mul(r23027, r23025, r23026, MPFR_RNDN);
        ;
        mpfr_set_si(r23029, mpfr_cmp(r23027, r23028) <= 0, MPFR_RNDN);
        mpfr_set_d(r23030, l, MPFR_RNDN);
        mpfr_set_d(r23031, Om, MPFR_RNDN);
        mpfr_div(r23032, r23030, r23031, MPFR_RNDN);
        mpfr_neg(r23033, r23024, MPFR_RNDN);
        mpfr_mul(r23034, r23030, r23033, MPFR_RNDN);
        mpfr_set_d(r23035, U_, MPFR_RNDN);
        mpfr_sub(r23036, r23035, r23023, MPFR_RNDN);
        mpfr_mul(r23037, r23026, r23036, MPFR_RNDN);
        mpfr_mul(r23038, r23032, r23032, MPFR_RNDN);
        mpfr_set_d(r23039, t, MPFR_RNDN);
        mpfr_fma(r23040, r23037, r23038, r23039, MPFR_RNDN);
        mpfr_fma(r23041, r23032, r23034, r23040, MPFR_RNDN);
        mpfr_mul(r23042, r23023, r23026, MPFR_RNDN);
        mpfr_mul(r23043, r23024, r23042, MPFR_RNDN);
        mpfr_mul(r23044, r23041, r23043, MPFR_RNDN);
        ;
        mpfr_mul(r23046, r23023, r23045, MPFR_RNDN);
        mpfr_mul(r23047, r23024, r23026, MPFR_RNDN);
        mpfr_mul(r23048, r23046, r23047, MPFR_RNDN);
        mpfr_add(r23049, r23044, r23048, MPFR_RNDN);
        mpfr_sqrt(r23050, r23049, MPFR_RNDN);
        ;
        mpfr_set_si(r23052, mpfr_cmp(r23027, r23051) <= 0, MPFR_RNDN);
        mpfr_div(r23053, r23031, r23030, MPFR_RNDN);
        mpfr_div(r23054, r23030, r23053, MPFR_RNDN);
        mpfr_mul(r23055, r23024, r23054, MPFR_RNDN);
        mpfr_sub(r23056, r23039, r23055, MPFR_RNDN);
        mpfr_pow(r23057, r23032, r23024, MPFR_RNDN);
        mpfr_mul(r23058, r23026, r23057, MPFR_RNDN);
        mpfr_sub(r23059, r23023, r23035, MPFR_RNDN);
        mpfr_mul(r23060, r23058, r23059, MPFR_RNDN);
        mpfr_sub(r23061, r23056, r23060, MPFR_RNDN);
        mpfr_mul(r23062, r23023, r23061, MPFR_RNDN);
        mpfr_mul(r23063, r23047, r23062, MPFR_RNDN);
        mpfr_sqrt(r23064, r23063, MPFR_RNDN);
        mpfr_mul(r23065, r23047, r23023, MPFR_RNDN);
        mpfr_sqrt(r23066, r23065, MPFR_RNDN);
        mpfr_mul(r23067, r23030, r23030, MPFR_RNDN);
        mpfr_div(r23068, r23067, r23031, MPFR_RNDN);
        mpfr_mul(r23069, r23024, r23068, MPFR_RNDN);
        mpfr_sub(r23070, r23039, r23069, MPFR_RNDN);
        mpfr_sub(r23071, r23070, r23060, MPFR_RNDN);
        mpfr_sqrt(r23072, r23071, MPFR_RNDN);
        mpfr_mul(r23073, r23066, r23072, MPFR_RNDN);
        if (mpfr_get_si(r23052, MPFR_RNDN)) { mpfr_set(r23074, r23064, MPFR_RNDN); } else { mpfr_set(r23074, r23073, MPFR_RNDN); };
        if (mpfr_get_si(r23029, MPFR_RNDN)) { mpfr_set(r23075, r23050, MPFR_RNDN); } else { mpfr_set(r23075, r23074, MPFR_RNDN); };
        return mpfr_get_d(r23075, MPFR_RNDN);
}

static mpfr_t r23076, r23077, r23078, r23079, r23080, r23081, r23082, r23083, r23084, r23085, r23086, r23087, r23088, r23089, r23090, r23091, r23092, r23093, r23094, r23095, r23096, r23097, r23098, r23099, r23100, r23101, r23102, r23103, r23104, r23105, r23106, r23107, r23108, r23109, r23110, r23111, r23112, r23113, r23114, r23115, r23116, r23117, r23118, r23119, r23120, r23121, r23122, r23123, r23124, r23125, r23126, r23127, r23128;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init(r23076);
        mpfr_init_set_str(r23077, "2", 10, MPFR_RNDN);
        mpfr_init(r23078);
        mpfr_init(r23079);
        mpfr_init(r23080);
        mpfr_init_set_str(r23081, "-5.662901191691462e-282", 10, MPFR_RNDN);
        mpfr_init(r23082);
        mpfr_init(r23083);
        mpfr_init(r23084);
        mpfr_init(r23085);
        mpfr_init(r23086);
        mpfr_init(r23087);
        mpfr_init(r23088);
        mpfr_init(r23089);
        mpfr_init(r23090);
        mpfr_init(r23091);
        mpfr_init(r23092);
        mpfr_init(r23093);
        mpfr_init(r23094);
        mpfr_init(r23095);
        mpfr_init(r23096);
        mpfr_init(r23097);
        mpfr_init_set_str(r23098, "0", 10, MPFR_RNDN);
        mpfr_init(r23099);
        mpfr_init(r23100);
        mpfr_init(r23101);
        mpfr_init(r23102);
        mpfr_init(r23103);
        mpfr_init_set_str(r23104, "2.5178784826924444e-294", 10, MPFR_RNDN);
        mpfr_init(r23105);
        mpfr_init(r23106);
        mpfr_init(r23107);
        mpfr_init(r23108);
        mpfr_init(r23109);
        mpfr_init(r23110);
        mpfr_init(r23111);
        mpfr_init(r23112);
        mpfr_init(r23113);
        mpfr_init(r23114);
        mpfr_init(r23115);
        mpfr_init(r23116);
        mpfr_init(r23117);
        mpfr_init(r23118);
        mpfr_init(r23119);
        mpfr_init(r23120);
        mpfr_init(r23121);
        mpfr_init(r23122);
        mpfr_init(r23123);
        mpfr_init(r23124);
        mpfr_init(r23125);
        mpfr_init(r23126);
        mpfr_init(r23127);
        mpfr_init(r23128);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r23076, U, MPFR_RNDN);
        ;
        mpfr_mul(r23078, r23076, r23077, MPFR_RNDN);
        mpfr_set_d(r23079, n, MPFR_RNDN);
        mpfr_mul(r23080, r23078, r23079, MPFR_RNDN);
        ;
        mpfr_set_si(r23082, mpfr_cmp(r23080, r23081) <= 0, MPFR_RNDN);
        mpfr_set_d(r23083, l, MPFR_RNDN);
        mpfr_set_d(r23084, Om, MPFR_RNDN);
        mpfr_div(r23085, r23083, r23084, MPFR_RNDN);
        mpfr_neg(r23086, r23077, MPFR_RNDN);
        mpfr_mul(r23087, r23083, r23086, MPFR_RNDN);
        mpfr_set_d(r23088, U_, MPFR_RNDN);
        mpfr_sub(r23089, r23088, r23076, MPFR_RNDN);
        mpfr_mul(r23090, r23079, r23089, MPFR_RNDN);
        mpfr_mul(r23091, r23085, r23085, MPFR_RNDN);
        mpfr_set_d(r23092, t, MPFR_RNDN);
        mpfr_fma(r23093, r23090, r23091, r23092, MPFR_RNDN);
        mpfr_fma(r23094, r23085, r23087, r23093, MPFR_RNDN);
        mpfr_mul(r23095, r23076, r23079, MPFR_RNDN);
        mpfr_mul(r23096, r23077, r23095, MPFR_RNDN);
        mpfr_mul(r23097, r23094, r23096, MPFR_RNDN);
        ;
        mpfr_mul(r23099, r23076, r23098, MPFR_RNDN);
        mpfr_mul(r23100, r23077, r23079, MPFR_RNDN);
        mpfr_mul(r23101, r23099, r23100, MPFR_RNDN);
        mpfr_add(r23102, r23097, r23101, MPFR_RNDN);
        mpfr_sqrt(r23103, r23102, MPFR_RNDN);
        ;
        mpfr_set_si(r23105, mpfr_cmp(r23080, r23104) <= 0, MPFR_RNDN);
        mpfr_div(r23106, r23084, r23083, MPFR_RNDN);
        mpfr_div(r23107, r23083, r23106, MPFR_RNDN);
        mpfr_mul(r23108, r23077, r23107, MPFR_RNDN);
        mpfr_sub(r23109, r23092, r23108, MPFR_RNDN);
        mpfr_pow(r23110, r23085, r23077, MPFR_RNDN);
        mpfr_mul(r23111, r23079, r23110, MPFR_RNDN);
        mpfr_sub(r23112, r23076, r23088, MPFR_RNDN);
        mpfr_mul(r23113, r23111, r23112, MPFR_RNDN);
        mpfr_sub(r23114, r23109, r23113, MPFR_RNDN);
        mpfr_mul(r23115, r23076, r23114, MPFR_RNDN);
        mpfr_mul(r23116, r23100, r23115, MPFR_RNDN);
        mpfr_sqrt(r23117, r23116, MPFR_RNDN);
        mpfr_mul(r23118, r23100, r23076, MPFR_RNDN);
        mpfr_sqrt(r23119, r23118, MPFR_RNDN);
        mpfr_mul(r23120, r23083, r23083, MPFR_RNDN);
        mpfr_div(r23121, r23120, r23084, MPFR_RNDN);
        mpfr_mul(r23122, r23077, r23121, MPFR_RNDN);
        mpfr_sub(r23123, r23092, r23122, MPFR_RNDN);
        mpfr_sub(r23124, r23123, r23113, MPFR_RNDN);
        mpfr_sqrt(r23125, r23124, MPFR_RNDN);
        mpfr_mul(r23126, r23119, r23125, MPFR_RNDN);
        if (mpfr_get_si(r23105, MPFR_RNDN)) { mpfr_set(r23127, r23117, MPFR_RNDN); } else { mpfr_set(r23127, r23126, MPFR_RNDN); };
        if (mpfr_get_si(r23082, MPFR_RNDN)) { mpfr_set(r23128, r23103, MPFR_RNDN); } else { mpfr_set(r23128, r23127, MPFR_RNDN); };
        return mpfr_get_d(r23128, MPFR_RNDN);
}