#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 r15746 = 2.0f;
        float r15747 = n;
        float r15748 = r15746 * r15747;
        float r15749 = U;
        float r15750 = r15748 * r15749;
        float r15751 = t;
        float r15752 = l;
        float r15753 = r15752 * r15752;
        float r15754 = Om;
        float r15755 = r15753 / r15754;
        float r15756 = r15746 * r15755;
        float r15757 = r15751 - r15756;
        float r15758 = r15752 / r15754;
        float r15759 = r15758 * r15758;
        float r15760 = r15747 * r15759;
        float r15761 = U_;
        float r15762 = r15749 - r15761;
        float r15763 = r15760 * r15762;
        float r15764 = r15757 - r15763;
        float r15765 = r15750 * r15764;
        float r15766 = sqrt(r15765);
        return r15766;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r15767 = 2.0;
        double r15768 = n;
        double r15769 = r15767 * r15768;
        double r15770 = U;
        double r15771 = r15769 * r15770;
        double r15772 = t;
        double r15773 = l;
        double r15774 = r15773 * r15773;
        double r15775 = Om;
        double r15776 = r15774 / r15775;
        double r15777 = r15767 * r15776;
        double r15778 = r15772 - r15777;
        double r15779 = r15773 / r15775;
        double r15780 = r15779 * r15779;
        double r15781 = r15768 * r15780;
        double r15782 = U_;
        double r15783 = r15770 - r15782;
        double r15784 = r15781 * r15783;
        double r15785 = r15778 - r15784;
        double r15786 = r15771 * r15785;
        double r15787 = sqrt(r15786);
        return r15787;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r15788 = 2.0f;
        float r15789 = n;
        float r15790 = r15788 * r15789;
        float r15791 = U;
        float r15792 = t;
        float r15793 = l;
        float r15794 = Om;
        float r15795 = r15794 / r15793;
        float r15796 = r15793 / r15795;
        float r15797 = r15788 * r15796;
        float r15798 = r15792 - r15797;
        float r15799 = r15793 / r15794;
        float r15800 = r15799 * r15799;
        float r15801 = r15789 * r15800;
        float r15802 = 1.0f;
        float r15803 = pow(r15801, r15802);
        float r15804 = U_;
        float r15805 = r15791 - r15804;
        float r15806 = r15803 * r15805;
        float r15807 = r15798 - r15806;
        float r15808 = r15791 * r15807;
        float r15809 = r15790 * r15808;
        float r15810 = sqrt(r15809);
        return r15810;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r15811 = 2.0;
        double r15812 = n;
        double r15813 = r15811 * r15812;
        double r15814 = U;
        double r15815 = t;
        double r15816 = l;
        double r15817 = Om;
        double r15818 = r15817 / r15816;
        double r15819 = r15816 / r15818;
        double r15820 = r15811 * r15819;
        double r15821 = r15815 - r15820;
        double r15822 = r15816 / r15817;
        double r15823 = r15822 * r15822;
        double r15824 = r15812 * r15823;
        double r15825 = 1.0;
        double r15826 = pow(r15824, r15825);
        double r15827 = U_;
        double r15828 = r15814 - r15827;
        double r15829 = r15826 * r15828;
        double r15830 = r15821 - r15829;
        double r15831 = r15814 * r15830;
        double r15832 = r15813 * r15831;
        double r15833 = sqrt(r15832);
        return r15833;
}

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 r15834, r15835, r15836, r15837, r15838, r15839, r15840, r15841, r15842, r15843, r15844, r15845, r15846, r15847, r15848, r15849, r15850, r15851, r15852, r15853, r15854;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15834, "2", 10, MPFR_RNDN);
        mpfr_init(r15835);
        mpfr_init(r15836);
        mpfr_init(r15837);
        mpfr_init(r15838);
        mpfr_init(r15839);
        mpfr_init(r15840);
        mpfr_init(r15841);
        mpfr_init(r15842);
        mpfr_init(r15843);
        mpfr_init(r15844);
        mpfr_init(r15845);
        mpfr_init(r15846);
        mpfr_init(r15847);
        mpfr_init(r15848);
        mpfr_init(r15849);
        mpfr_init(r15850);
        mpfr_init(r15851);
        mpfr_init(r15852);
        mpfr_init(r15853);
        mpfr_init(r15854);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15835, n, MPFR_RNDN);
        mpfr_mul(r15836, r15834, r15835, MPFR_RNDN);
        mpfr_set_d(r15837, U, MPFR_RNDN);
        mpfr_mul(r15838, r15836, r15837, MPFR_RNDN);
        mpfr_set_d(r15839, t, MPFR_RNDN);
        mpfr_set_d(r15840, l, MPFR_RNDN);
        mpfr_sqr(r15841, r15840, MPFR_RNDN);
        mpfr_set_d(r15842, Om, MPFR_RNDN);
        mpfr_div(r15843, r15841, r15842, MPFR_RNDN);
        mpfr_mul(r15844, r15834, r15843, MPFR_RNDN);
        mpfr_sub(r15845, r15839, r15844, MPFR_RNDN);
        mpfr_div(r15846, r15840, r15842, MPFR_RNDN);
        mpfr_sqr(r15847, r15846, MPFR_RNDN);
        mpfr_mul(r15848, r15835, r15847, MPFR_RNDN);
        mpfr_set_d(r15849, U_, MPFR_RNDN);
        mpfr_sub(r15850, r15837, r15849, MPFR_RNDN);
        mpfr_mul(r15851, r15848, r15850, MPFR_RNDN);
        mpfr_sub(r15852, r15845, r15851, MPFR_RNDN);
        mpfr_mul(r15853, r15838, r15852, MPFR_RNDN);
        mpfr_sqrt(r15854, r15853, MPFR_RNDN);
        return mpfr_get_d(r15854, MPFR_RNDN);
}

static mpfr_t r15855, r15856, r15857, r15858, r15859, r15860, r15861, r15862, r15863, r15864, r15865, r15866, r15867, r15868, r15869, r15870, r15871, r15872, r15873, r15874, r15875, r15876, r15877;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15855, "2", 10, MPFR_RNDN);
        mpfr_init(r15856);
        mpfr_init(r15857);
        mpfr_init(r15858);
        mpfr_init(r15859);
        mpfr_init(r15860);
        mpfr_init(r15861);
        mpfr_init(r15862);
        mpfr_init(r15863);
        mpfr_init(r15864);
        mpfr_init(r15865);
        mpfr_init(r15866);
        mpfr_init(r15867);
        mpfr_init(r15868);
        mpfr_init_set_str(r15869, "1", 10, MPFR_RNDN);
        mpfr_init(r15870);
        mpfr_init(r15871);
        mpfr_init(r15872);
        mpfr_init(r15873);
        mpfr_init(r15874);
        mpfr_init(r15875);
        mpfr_init(r15876);
        mpfr_init(r15877);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15856, n, MPFR_RNDN);
        mpfr_mul(r15857, r15855, r15856, MPFR_RNDN);
        mpfr_set_d(r15858, U, MPFR_RNDN);
        mpfr_set_d(r15859, t, MPFR_RNDN);
        mpfr_set_d(r15860, l, MPFR_RNDN);
        mpfr_set_d(r15861, Om, MPFR_RNDN);
        mpfr_div(r15862, r15861, r15860, MPFR_RNDN);
        mpfr_div(r15863, r15860, r15862, MPFR_RNDN);
        mpfr_mul(r15864, r15855, r15863, MPFR_RNDN);
        mpfr_sub(r15865, r15859, r15864, MPFR_RNDN);
        mpfr_div(r15866, r15860, r15861, MPFR_RNDN);
        mpfr_sqr(r15867, r15866, MPFR_RNDN);
        mpfr_mul(r15868, r15856, r15867, MPFR_RNDN);
        ;
        mpfr_pow(r15870, r15868, r15869, MPFR_RNDN);
        mpfr_set_d(r15871, U_, MPFR_RNDN);
        mpfr_sub(r15872, r15858, r15871, MPFR_RNDN);
        mpfr_mul(r15873, r15870, r15872, MPFR_RNDN);
        mpfr_sub(r15874, r15865, r15873, MPFR_RNDN);
        mpfr_mul(r15875, r15858, r15874, MPFR_RNDN);
        mpfr_mul(r15876, r15857, r15875, MPFR_RNDN);
        mpfr_sqrt(r15877, r15876, MPFR_RNDN);
        return mpfr_get_d(r15877, MPFR_RNDN);
}

static mpfr_t r15878, r15879, r15880, r15881, r15882, r15883, r15884, r15885, r15886, r15887, r15888, r15889, r15890, r15891, r15892, r15893, r15894, r15895, r15896, r15897, r15898, r15899, r15900;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15878, "2", 10, MPFR_RNDN);
        mpfr_init(r15879);
        mpfr_init(r15880);
        mpfr_init(r15881);
        mpfr_init(r15882);
        mpfr_init(r15883);
        mpfr_init(r15884);
        mpfr_init(r15885);
        mpfr_init(r15886);
        mpfr_init(r15887);
        mpfr_init(r15888);
        mpfr_init(r15889);
        mpfr_init(r15890);
        mpfr_init(r15891);
        mpfr_init_set_str(r15892, "1", 10, MPFR_RNDN);
        mpfr_init(r15893);
        mpfr_init(r15894);
        mpfr_init(r15895);
        mpfr_init(r15896);
        mpfr_init(r15897);
        mpfr_init(r15898);
        mpfr_init(r15899);
        mpfr_init(r15900);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15879, n, MPFR_RNDN);
        mpfr_mul(r15880, r15878, r15879, MPFR_RNDN);
        mpfr_set_d(r15881, U, MPFR_RNDN);
        mpfr_set_d(r15882, t, MPFR_RNDN);
        mpfr_set_d(r15883, l, MPFR_RNDN);
        mpfr_set_d(r15884, Om, MPFR_RNDN);
        mpfr_div(r15885, r15884, r15883, MPFR_RNDN);
        mpfr_div(r15886, r15883, r15885, MPFR_RNDN);
        mpfr_mul(r15887, r15878, r15886, MPFR_RNDN);
        mpfr_sub(r15888, r15882, r15887, MPFR_RNDN);
        mpfr_div(r15889, r15883, r15884, MPFR_RNDN);
        mpfr_sqr(r15890, r15889, MPFR_RNDN);
        mpfr_mul(r15891, r15879, r15890, MPFR_RNDN);
        ;
        mpfr_pow(r15893, r15891, r15892, MPFR_RNDN);
        mpfr_set_d(r15894, U_, MPFR_RNDN);
        mpfr_sub(r15895, r15881, r15894, MPFR_RNDN);
        mpfr_mul(r15896, r15893, r15895, MPFR_RNDN);
        mpfr_sub(r15897, r15888, r15896, MPFR_RNDN);
        mpfr_mul(r15898, r15881, r15897, MPFR_RNDN);
        mpfr_mul(r15899, r15880, r15898, MPFR_RNDN);
        mpfr_sqrt(r15900, r15899, MPFR_RNDN);
        return mpfr_get_d(r15900, MPFR_RNDN);
}

