#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 r15738 = 2.0f;
        float r15739 = n;
        float r15740 = r15738 * r15739;
        float r15741 = U;
        float r15742 = r15740 * r15741;
        float r15743 = t;
        float r15744 = l;
        float r15745 = r15744 * r15744;
        float r15746 = Om;
        float r15747 = r15745 / r15746;
        float r15748 = r15738 * r15747;
        float r15749 = r15743 - r15748;
        float r15750 = r15744 / r15746;
        float r15751 = r15750 * r15750;
        float r15752 = r15739 * r15751;
        float r15753 = U_;
        float r15754 = r15741 - r15753;
        float r15755 = r15752 * r15754;
        float r15756 = r15749 - r15755;
        float r15757 = r15742 * r15756;
        float r15758 = sqrt(r15757);
        return r15758;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r15759 = 2.0;
        double r15760 = n;
        double r15761 = r15759 * r15760;
        double r15762 = U;
        double r15763 = r15761 * r15762;
        double r15764 = t;
        double r15765 = l;
        double r15766 = r15765 * r15765;
        double r15767 = Om;
        double r15768 = r15766 / r15767;
        double r15769 = r15759 * r15768;
        double r15770 = r15764 - r15769;
        double r15771 = r15765 / r15767;
        double r15772 = r15771 * r15771;
        double r15773 = r15760 * r15772;
        double r15774 = U_;
        double r15775 = r15762 - r15774;
        double r15776 = r15773 * r15775;
        double r15777 = r15770 - r15776;
        double r15778 = r15763 * r15777;
        double r15779 = sqrt(r15778);
        return r15779;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r15780 = 2.0f;
        float r15781 = n;
        float r15782 = r15780 * r15781;
        float r15783 = U;
        float r15784 = t;
        float r15785 = l;
        float r15786 = Om;
        float r15787 = r15786 / r15785;
        float r15788 = r15785 / r15787;
        float r15789 = r15780 * r15788;
        float r15790 = r15784 - r15789;
        float r15791 = r15785 / r15786;
        float r15792 = r15791 * r15791;
        float r15793 = r15781 * r15792;
        float r15794 = 1.0f;
        float r15795 = pow(r15793, r15794);
        float r15796 = U_;
        float r15797 = r15783 - r15796;
        float r15798 = r15795 * r15797;
        float r15799 = r15790 - r15798;
        float r15800 = r15783 * r15799;
        float r15801 = r15782 * r15800;
        float r15802 = sqrt(r15801);
        return r15802;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r15803 = 2.0;
        double r15804 = n;
        double r15805 = r15803 * r15804;
        double r15806 = U;
        double r15807 = t;
        double r15808 = l;
        double r15809 = Om;
        double r15810 = r15809 / r15808;
        double r15811 = r15808 / r15810;
        double r15812 = r15803 * r15811;
        double r15813 = r15807 - r15812;
        double r15814 = r15808 / r15809;
        double r15815 = r15814 * r15814;
        double r15816 = r15804 * r15815;
        double r15817 = 1.0;
        double r15818 = pow(r15816, r15817);
        double r15819 = U_;
        double r15820 = r15806 - r15819;
        double r15821 = r15818 * r15820;
        double r15822 = r15813 - r15821;
        double r15823 = r15806 * r15822;
        double r15824 = r15805 * r15823;
        double r15825 = sqrt(r15824);
        return r15825;
}

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 r15826, r15827, r15828, r15829, r15830, r15831, r15832, r15833, r15834, r15835, r15836, r15837, r15838, r15839, r15840, r15841, r15842, r15843, r15844, r15845, r15846;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15826, "2", 10, MPFR_RNDN);
        mpfr_init(r15827);
        mpfr_init(r15828);
        mpfr_init(r15829);
        mpfr_init(r15830);
        mpfr_init(r15831);
        mpfr_init(r15832);
        mpfr_init(r15833);
        mpfr_init(r15834);
        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);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15827, n, MPFR_RNDN);
        mpfr_mul(r15828, r15826, r15827, MPFR_RNDN);
        mpfr_set_d(r15829, U, MPFR_RNDN);
        mpfr_mul(r15830, r15828, r15829, MPFR_RNDN);
        mpfr_set_d(r15831, t, MPFR_RNDN);
        mpfr_set_d(r15832, l, MPFR_RNDN);
        mpfr_sqr(r15833, r15832, MPFR_RNDN);
        mpfr_set_d(r15834, Om, MPFR_RNDN);
        mpfr_div(r15835, r15833, r15834, MPFR_RNDN);
        mpfr_mul(r15836, r15826, r15835, MPFR_RNDN);
        mpfr_sub(r15837, r15831, r15836, MPFR_RNDN);
        mpfr_div(r15838, r15832, r15834, MPFR_RNDN);
        mpfr_sqr(r15839, r15838, MPFR_RNDN);
        mpfr_mul(r15840, r15827, r15839, MPFR_RNDN);
        mpfr_set_d(r15841, U_, MPFR_RNDN);
        mpfr_sub(r15842, r15829, r15841, MPFR_RNDN);
        mpfr_mul(r15843, r15840, r15842, MPFR_RNDN);
        mpfr_sub(r15844, r15837, r15843, MPFR_RNDN);
        mpfr_mul(r15845, r15830, r15844, MPFR_RNDN);
        mpfr_sqrt(r15846, r15845, MPFR_RNDN);
        return mpfr_get_d(r15846, MPFR_RNDN);
}

static mpfr_t r15847, r15848, r15849, r15850, r15851, r15852, r15853, r15854, r15855, r15856, r15857, r15858, r15859, r15860, r15861, r15862, r15863, r15864, r15865, r15866, r15867, r15868, r15869;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15847, "2", 10, MPFR_RNDN);
        mpfr_init(r15848);
        mpfr_init(r15849);
        mpfr_init(r15850);
        mpfr_init(r15851);
        mpfr_init(r15852);
        mpfr_init(r15853);
        mpfr_init(r15854);
        mpfr_init(r15855);
        mpfr_init(r15856);
        mpfr_init(r15857);
        mpfr_init(r15858);
        mpfr_init(r15859);
        mpfr_init(r15860);
        mpfr_init_set_str(r15861, "1", 10, MPFR_RNDN);
        mpfr_init(r15862);
        mpfr_init(r15863);
        mpfr_init(r15864);
        mpfr_init(r15865);
        mpfr_init(r15866);
        mpfr_init(r15867);
        mpfr_init(r15868);
        mpfr_init(r15869);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15848, n, MPFR_RNDN);
        mpfr_mul(r15849, r15847, r15848, MPFR_RNDN);
        mpfr_set_d(r15850, U, MPFR_RNDN);
        mpfr_set_d(r15851, t, MPFR_RNDN);
        mpfr_set_d(r15852, l, MPFR_RNDN);
        mpfr_set_d(r15853, Om, MPFR_RNDN);
        mpfr_div(r15854, r15853, r15852, MPFR_RNDN);
        mpfr_div(r15855, r15852, r15854, MPFR_RNDN);
        mpfr_mul(r15856, r15847, r15855, MPFR_RNDN);
        mpfr_sub(r15857, r15851, r15856, MPFR_RNDN);
        mpfr_div(r15858, r15852, r15853, MPFR_RNDN);
        mpfr_sqr(r15859, r15858, MPFR_RNDN);
        mpfr_mul(r15860, r15848, r15859, MPFR_RNDN);
        ;
        mpfr_pow(r15862, r15860, r15861, MPFR_RNDN);
        mpfr_set_d(r15863, U_, MPFR_RNDN);
        mpfr_sub(r15864, r15850, r15863, MPFR_RNDN);
        mpfr_mul(r15865, r15862, r15864, MPFR_RNDN);
        mpfr_sub(r15866, r15857, r15865, MPFR_RNDN);
        mpfr_mul(r15867, r15850, r15866, MPFR_RNDN);
        mpfr_mul(r15868, r15849, r15867, MPFR_RNDN);
        mpfr_sqrt(r15869, r15868, MPFR_RNDN);
        return mpfr_get_d(r15869, MPFR_RNDN);
}

static mpfr_t r15870, r15871, r15872, r15873, r15874, r15875, r15876, r15877, r15878, r15879, r15880, r15881, r15882, r15883, r15884, r15885, r15886, r15887, r15888, r15889, r15890, r15891, r15892;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15870, "2", 10, MPFR_RNDN);
        mpfr_init(r15871);
        mpfr_init(r15872);
        mpfr_init(r15873);
        mpfr_init(r15874);
        mpfr_init(r15875);
        mpfr_init(r15876);
        mpfr_init(r15877);
        mpfr_init(r15878);
        mpfr_init(r15879);
        mpfr_init(r15880);
        mpfr_init(r15881);
        mpfr_init(r15882);
        mpfr_init(r15883);
        mpfr_init_set_str(r15884, "1", 10, MPFR_RNDN);
        mpfr_init(r15885);
        mpfr_init(r15886);
        mpfr_init(r15887);
        mpfr_init(r15888);
        mpfr_init(r15889);
        mpfr_init(r15890);
        mpfr_init(r15891);
        mpfr_init(r15892);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15871, n, MPFR_RNDN);
        mpfr_mul(r15872, r15870, r15871, MPFR_RNDN);
        mpfr_set_d(r15873, U, MPFR_RNDN);
        mpfr_set_d(r15874, t, MPFR_RNDN);
        mpfr_set_d(r15875, l, MPFR_RNDN);
        mpfr_set_d(r15876, Om, MPFR_RNDN);
        mpfr_div(r15877, r15876, r15875, MPFR_RNDN);
        mpfr_div(r15878, r15875, r15877, MPFR_RNDN);
        mpfr_mul(r15879, r15870, r15878, MPFR_RNDN);
        mpfr_sub(r15880, r15874, r15879, MPFR_RNDN);
        mpfr_div(r15881, r15875, r15876, MPFR_RNDN);
        mpfr_sqr(r15882, r15881, MPFR_RNDN);
        mpfr_mul(r15883, r15871, r15882, MPFR_RNDN);
        ;
        mpfr_pow(r15885, r15883, r15884, MPFR_RNDN);
        mpfr_set_d(r15886, U_, MPFR_RNDN);
        mpfr_sub(r15887, r15873, r15886, MPFR_RNDN);
        mpfr_mul(r15888, r15885, r15887, MPFR_RNDN);
        mpfr_sub(r15889, r15880, r15888, MPFR_RNDN);
        mpfr_mul(r15890, r15873, r15889, MPFR_RNDN);
        mpfr_mul(r15891, r15872, r15890, MPFR_RNDN);
        mpfr_sqrt(r15892, r15891, MPFR_RNDN);
        return mpfr_get_d(r15892, MPFR_RNDN);
}

