#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 r15846 = 2.0f;
        float r15847 = n;
        float r15848 = r15846 * r15847;
        float r15849 = U;
        float r15850 = r15848 * r15849;
        float r15851 = t;
        float r15852 = l;
        float r15853 = r15852 * r15852;
        float r15854 = Om;
        float r15855 = r15853 / r15854;
        float r15856 = r15846 * r15855;
        float r15857 = r15851 - r15856;
        float r15858 = r15852 / r15854;
        float r15859 = r15858 * r15858;
        float r15860 = r15847 * r15859;
        float r15861 = U_;
        float r15862 = r15849 - r15861;
        float r15863 = r15860 * r15862;
        float r15864 = r15857 - r15863;
        float r15865 = r15850 * r15864;
        float r15866 = sqrt(r15865);
        return r15866;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r15867 = 2.0;
        double r15868 = n;
        double r15869 = r15867 * r15868;
        double r15870 = U;
        double r15871 = r15869 * r15870;
        double r15872 = t;
        double r15873 = l;
        double r15874 = r15873 * r15873;
        double r15875 = Om;
        double r15876 = r15874 / r15875;
        double r15877 = r15867 * r15876;
        double r15878 = r15872 - r15877;
        double r15879 = r15873 / r15875;
        double r15880 = r15879 * r15879;
        double r15881 = r15868 * r15880;
        double r15882 = U_;
        double r15883 = r15870 - r15882;
        double r15884 = r15881 * r15883;
        double r15885 = r15878 - r15884;
        double r15886 = r15871 * r15885;
        double r15887 = sqrt(r15886);
        return r15887;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r15888 = 2.0f;
        float r15889 = n;
        float r15890 = r15888 * r15889;
        float r15891 = U;
        float r15892 = r15890 * r15891;
        float r15893 = t;
        float r15894 = l;
        float r15895 = r15894 * r15894;
        float r15896 = Om;
        float r15897 = r15895 / r15896;
        float r15898 = r15888 * r15897;
        float r15899 = r15893 - r15898;
        float r15900 = r15894 / r15896;
        float r15901 = r15900 * r15900;
        float r15902 = r15889 * r15901;
        float r15903 = U_;
        float r15904 = r15891 - r15903;
        float r15905 = r15902 * r15904;
        float r15906 = r15899 - r15905;
        float r15907 = r15892 * r15906;
        float r15908 = 5.774973669338677e+301f;
        bool r15909 = r15907 <= r15908;
        float r15910 = r15896 / r15894;
        float r15911 = r15894 / r15910;
        float r15912 = r15888 * r15911;
        float r15913 = r15893 - r15912;
        float r15914 = r15913 - r15905;
        float r15915 = r15891 * r15914;
        float r15916 = r15890 * r15915;
        float r15917 = sqrt(r15916);
        float r15918 = r15909 ? r15917 : r15917;
        return r15918;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r15919 = 2.0;
        double r15920 = n;
        double r15921 = r15919 * r15920;
        double r15922 = U;
        double r15923 = r15921 * r15922;
        double r15924 = t;
        double r15925 = l;
        double r15926 = r15925 * r15925;
        double r15927 = Om;
        double r15928 = r15926 / r15927;
        double r15929 = r15919 * r15928;
        double r15930 = r15924 - r15929;
        double r15931 = r15925 / r15927;
        double r15932 = r15931 * r15931;
        double r15933 = r15920 * r15932;
        double r15934 = U_;
        double r15935 = r15922 - r15934;
        double r15936 = r15933 * r15935;
        double r15937 = r15930 - r15936;
        double r15938 = r15923 * r15937;
        double r15939 = 5.774973669338677e+301;
        bool r15940 = r15938 <= r15939;
        double r15941 = r15927 / r15925;
        double r15942 = r15925 / r15941;
        double r15943 = r15919 * r15942;
        double r15944 = r15924 - r15943;
        double r15945 = r15944 - r15936;
        double r15946 = r15922 * r15945;
        double r15947 = r15921 * r15946;
        double r15948 = sqrt(r15947);
        double r15949 = r15940 ? r15948 : r15948;
        return r15949;
}

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 r15950, r15951, r15952, r15953, r15954, r15955, r15956, r15957, r15958, r15959, r15960, r15961, r15962, r15963, r15964, r15965, r15966, r15967, r15968, r15969, r15970;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15950, "2", 10, MPFR_RNDN);
        mpfr_init(r15951);
        mpfr_init(r15952);
        mpfr_init(r15953);
        mpfr_init(r15954);
        mpfr_init(r15955);
        mpfr_init(r15956);
        mpfr_init(r15957);
        mpfr_init(r15958);
        mpfr_init(r15959);
        mpfr_init(r15960);
        mpfr_init(r15961);
        mpfr_init(r15962);
        mpfr_init(r15963);
        mpfr_init(r15964);
        mpfr_init(r15965);
        mpfr_init(r15966);
        mpfr_init(r15967);
        mpfr_init(r15968);
        mpfr_init(r15969);
        mpfr_init(r15970);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15951, n, MPFR_RNDN);
        mpfr_mul(r15952, r15950, r15951, MPFR_RNDN);
        mpfr_set_d(r15953, U, MPFR_RNDN);
        mpfr_mul(r15954, r15952, r15953, MPFR_RNDN);
        mpfr_set_d(r15955, t, MPFR_RNDN);
        mpfr_set_d(r15956, l, MPFR_RNDN);
        mpfr_sqr(r15957, r15956, MPFR_RNDN);
        mpfr_set_d(r15958, Om, MPFR_RNDN);
        mpfr_div(r15959, r15957, r15958, MPFR_RNDN);
        mpfr_mul(r15960, r15950, r15959, MPFR_RNDN);
        mpfr_sub(r15961, r15955, r15960, MPFR_RNDN);
        mpfr_div(r15962, r15956, r15958, MPFR_RNDN);
        mpfr_sqr(r15963, r15962, MPFR_RNDN);
        mpfr_mul(r15964, r15951, r15963, MPFR_RNDN);
        mpfr_set_d(r15965, U_, MPFR_RNDN);
        mpfr_sub(r15966, r15953, r15965, MPFR_RNDN);
        mpfr_mul(r15967, r15964, r15966, MPFR_RNDN);
        mpfr_sub(r15968, r15961, r15967, MPFR_RNDN);
        mpfr_mul(r15969, r15954, r15968, MPFR_RNDN);
        mpfr_sqrt(r15970, r15969, MPFR_RNDN);
        return mpfr_get_d(r15970, MPFR_RNDN);
}

static mpfr_t r15971, r15972, r15973, r15974, r15975, r15976, r15977, r15978, r15979, r15980, r15981, r15982, r15983, r15984, r15985, r15986, r15987, r15988, r15989, r15990, r15991, r15992, r15993, r15994, r15995, r15996, r15997, r15998, r15999, r16000, r16001;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15971, "2", 10, MPFR_RNDN);
        mpfr_init(r15972);
        mpfr_init(r15973);
        mpfr_init(r15974);
        mpfr_init(r15975);
        mpfr_init(r15976);
        mpfr_init(r15977);
        mpfr_init(r15978);
        mpfr_init(r15979);
        mpfr_init(r15980);
        mpfr_init(r15981);
        mpfr_init(r15982);
        mpfr_init(r15983);
        mpfr_init(r15984);
        mpfr_init(r15985);
        mpfr_init(r15986);
        mpfr_init(r15987);
        mpfr_init(r15988);
        mpfr_init(r15989);
        mpfr_init(r15990);
        mpfr_init_set_str(r15991, "5.774973669338677e+301", 10, MPFR_RNDN);
        mpfr_init(r15992);
        mpfr_init(r15993);
        mpfr_init(r15994);
        mpfr_init(r15995);
        mpfr_init(r15996);
        mpfr_init(r15997);
        mpfr_init(r15998);
        mpfr_init(r15999);
        mpfr_init(r16000);
        mpfr_init(r16001);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15972, n, MPFR_RNDN);
        mpfr_mul(r15973, r15971, r15972, MPFR_RNDN);
        mpfr_set_d(r15974, U, MPFR_RNDN);
        mpfr_mul(r15975, r15973, r15974, MPFR_RNDN);
        mpfr_set_d(r15976, t, MPFR_RNDN);
        mpfr_set_d(r15977, l, MPFR_RNDN);
        mpfr_sqr(r15978, r15977, MPFR_RNDN);
        mpfr_set_d(r15979, Om, MPFR_RNDN);
        mpfr_div(r15980, r15978, r15979, MPFR_RNDN);
        mpfr_mul(r15981, r15971, r15980, MPFR_RNDN);
        mpfr_sub(r15982, r15976, r15981, MPFR_RNDN);
        mpfr_div(r15983, r15977, r15979, MPFR_RNDN);
        mpfr_sqr(r15984, r15983, MPFR_RNDN);
        mpfr_mul(r15985, r15972, r15984, MPFR_RNDN);
        mpfr_set_d(r15986, U_, MPFR_RNDN);
        mpfr_sub(r15987, r15974, r15986, MPFR_RNDN);
        mpfr_mul(r15988, r15985, r15987, MPFR_RNDN);
        mpfr_sub(r15989, r15982, r15988, MPFR_RNDN);
        mpfr_mul(r15990, r15975, r15989, MPFR_RNDN);
        ;
        mpfr_set_si(r15992, mpfr_cmp(r15990, r15991) <= 0, MPFR_RNDN);
        mpfr_div(r15993, r15979, r15977, MPFR_RNDN);
        mpfr_div(r15994, r15977, r15993, MPFR_RNDN);
        mpfr_mul(r15995, r15971, r15994, MPFR_RNDN);
        mpfr_sub(r15996, r15976, r15995, MPFR_RNDN);
        mpfr_sub(r15997, r15996, r15988, MPFR_RNDN);
        mpfr_mul(r15998, r15974, r15997, MPFR_RNDN);
        mpfr_mul(r15999, r15973, r15998, MPFR_RNDN);
        mpfr_sqrt(r16000, r15999, MPFR_RNDN);
        if (mpfr_get_si(r15992, MPFR_RNDN)) { mpfr_set(r16001, r16000, MPFR_RNDN); } else { mpfr_set(r16001, r16000, MPFR_RNDN); };
        return mpfr_get_d(r16001, MPFR_RNDN);
}

static mpfr_t r16002, r16003, r16004, r16005, r16006, r16007, r16008, r16009, r16010, r16011, r16012, r16013, r16014, r16015, r16016, r16017, r16018, r16019, r16020, r16021, r16022, r16023, r16024, r16025, r16026, r16027, r16028, r16029, r16030, r16031, r16032;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r16002, "2", 10, MPFR_RNDN);
        mpfr_init(r16003);
        mpfr_init(r16004);
        mpfr_init(r16005);
        mpfr_init(r16006);
        mpfr_init(r16007);
        mpfr_init(r16008);
        mpfr_init(r16009);
        mpfr_init(r16010);
        mpfr_init(r16011);
        mpfr_init(r16012);
        mpfr_init(r16013);
        mpfr_init(r16014);
        mpfr_init(r16015);
        mpfr_init(r16016);
        mpfr_init(r16017);
        mpfr_init(r16018);
        mpfr_init(r16019);
        mpfr_init(r16020);
        mpfr_init(r16021);
        mpfr_init_set_str(r16022, "5.774973669338677e+301", 10, MPFR_RNDN);
        mpfr_init(r16023);
        mpfr_init(r16024);
        mpfr_init(r16025);
        mpfr_init(r16026);
        mpfr_init(r16027);
        mpfr_init(r16028);
        mpfr_init(r16029);
        mpfr_init(r16030);
        mpfr_init(r16031);
        mpfr_init(r16032);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r16003, n, MPFR_RNDN);
        mpfr_mul(r16004, r16002, r16003, MPFR_RNDN);
        mpfr_set_d(r16005, U, MPFR_RNDN);
        mpfr_mul(r16006, r16004, r16005, MPFR_RNDN);
        mpfr_set_d(r16007, t, MPFR_RNDN);
        mpfr_set_d(r16008, l, MPFR_RNDN);
        mpfr_sqr(r16009, r16008, MPFR_RNDN);
        mpfr_set_d(r16010, Om, MPFR_RNDN);
        mpfr_div(r16011, r16009, r16010, MPFR_RNDN);
        mpfr_mul(r16012, r16002, r16011, MPFR_RNDN);
        mpfr_sub(r16013, r16007, r16012, MPFR_RNDN);
        mpfr_div(r16014, r16008, r16010, MPFR_RNDN);
        mpfr_sqr(r16015, r16014, MPFR_RNDN);
        mpfr_mul(r16016, r16003, r16015, MPFR_RNDN);
        mpfr_set_d(r16017, U_, MPFR_RNDN);
        mpfr_sub(r16018, r16005, r16017, MPFR_RNDN);
        mpfr_mul(r16019, r16016, r16018, MPFR_RNDN);
        mpfr_sub(r16020, r16013, r16019, MPFR_RNDN);
        mpfr_mul(r16021, r16006, r16020, MPFR_RNDN);
        ;
        mpfr_set_si(r16023, mpfr_cmp(r16021, r16022) <= 0, MPFR_RNDN);
        mpfr_div(r16024, r16010, r16008, MPFR_RNDN);
        mpfr_div(r16025, r16008, r16024, MPFR_RNDN);
        mpfr_mul(r16026, r16002, r16025, MPFR_RNDN);
        mpfr_sub(r16027, r16007, r16026, MPFR_RNDN);
        mpfr_sub(r16028, r16027, r16019, MPFR_RNDN);
        mpfr_mul(r16029, r16005, r16028, MPFR_RNDN);
        mpfr_mul(r16030, r16004, r16029, MPFR_RNDN);
        mpfr_sqrt(r16031, r16030, MPFR_RNDN);
        if (mpfr_get_si(r16023, MPFR_RNDN)) { mpfr_set(r16032, r16031, MPFR_RNDN); } else { mpfr_set(r16032, r16031, MPFR_RNDN); };
        return mpfr_get_d(r16032, MPFR_RNDN);
}

