#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 r15778 = 2.0f;
        float r15779 = n;
        float r15780 = r15778 * r15779;
        float r15781 = U;
        float r15782 = r15780 * r15781;
        float r15783 = t;
        float r15784 = l;
        float r15785 = r15784 * r15784;
        float r15786 = Om;
        float r15787 = r15785 / r15786;
        float r15788 = r15778 * r15787;
        float r15789 = r15783 - r15788;
        float r15790 = r15784 / r15786;
        float r15791 = r15790 * r15790;
        float r15792 = r15779 * r15791;
        float r15793 = U_;
        float r15794 = r15781 - r15793;
        float r15795 = r15792 * r15794;
        float r15796 = r15789 - r15795;
        float r15797 = r15782 * r15796;
        float r15798 = sqrt(r15797);
        return r15798;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r15799 = 2.0;
        double r15800 = n;
        double r15801 = r15799 * r15800;
        double r15802 = U;
        double r15803 = r15801 * r15802;
        double r15804 = t;
        double r15805 = l;
        double r15806 = r15805 * r15805;
        double r15807 = Om;
        double r15808 = r15806 / r15807;
        double r15809 = r15799 * r15808;
        double r15810 = r15804 - r15809;
        double r15811 = r15805 / r15807;
        double r15812 = r15811 * r15811;
        double r15813 = r15800 * r15812;
        double r15814 = U_;
        double r15815 = r15802 - r15814;
        double r15816 = r15813 * r15815;
        double r15817 = r15810 - r15816;
        double r15818 = r15803 * r15817;
        double r15819 = sqrt(r15818);
        return r15819;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r15820 = 2.0f;
        float r15821 = n;
        float r15822 = r15820 * r15821;
        float r15823 = U;
        float r15824 = t;
        float r15825 = l;
        float r15826 = Om;
        float r15827 = r15826 / r15825;
        float r15828 = r15825 / r15827;
        float r15829 = r15820 * r15828;
        float r15830 = r15824 - r15829;
        float r15831 = r15825 / r15826;
        float r15832 = r15831 * r15831;
        float r15833 = r15821 * r15832;
        float r15834 = 1.0f;
        float r15835 = pow(r15833, r15834);
        float r15836 = U_;
        float r15837 = r15823 - r15836;
        float r15838 = r15835 * r15837;
        float r15839 = r15830 - r15838;
        float r15840 = r15823 * r15839;
        float r15841 = r15822 * r15840;
        float r15842 = sqrt(r15841);
        return r15842;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r15843 = 2.0;
        double r15844 = n;
        double r15845 = r15843 * r15844;
        double r15846 = U;
        double r15847 = t;
        double r15848 = l;
        double r15849 = Om;
        double r15850 = r15849 / r15848;
        double r15851 = r15848 / r15850;
        double r15852 = r15843 * r15851;
        double r15853 = r15847 - r15852;
        double r15854 = r15848 / r15849;
        double r15855 = r15854 * r15854;
        double r15856 = r15844 * r15855;
        double r15857 = 1.0;
        double r15858 = pow(r15856, r15857);
        double r15859 = U_;
        double r15860 = r15846 - r15859;
        double r15861 = r15858 * r15860;
        double r15862 = r15853 - r15861;
        double r15863 = r15846 * r15862;
        double r15864 = r15845 * r15863;
        double r15865 = sqrt(r15864);
        return r15865;
}

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 r15866, r15867, r15868, r15869, r15870, r15871, r15872, r15873, r15874, r15875, r15876, r15877, r15878, r15879, r15880, r15881, r15882, r15883, r15884, r15885, r15886;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15866, "2", 10, MPFR_RNDN);
        mpfr_init(r15867);
        mpfr_init(r15868);
        mpfr_init(r15869);
        mpfr_init(r15870);
        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(r15884);
        mpfr_init(r15885);
        mpfr_init(r15886);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15867, n, MPFR_RNDN);
        mpfr_mul(r15868, r15866, r15867, MPFR_RNDN);
        mpfr_set_d(r15869, U, MPFR_RNDN);
        mpfr_mul(r15870, r15868, r15869, MPFR_RNDN);
        mpfr_set_d(r15871, t, MPFR_RNDN);
        mpfr_set_d(r15872, l, MPFR_RNDN);
        mpfr_sqr(r15873, r15872, MPFR_RNDN);
        mpfr_set_d(r15874, Om, MPFR_RNDN);
        mpfr_div(r15875, r15873, r15874, MPFR_RNDN);
        mpfr_mul(r15876, r15866, r15875, MPFR_RNDN);
        mpfr_sub(r15877, r15871, r15876, MPFR_RNDN);
        mpfr_div(r15878, r15872, r15874, MPFR_RNDN);
        mpfr_sqr(r15879, r15878, MPFR_RNDN);
        mpfr_mul(r15880, r15867, r15879, MPFR_RNDN);
        mpfr_set_d(r15881, U_, MPFR_RNDN);
        mpfr_sub(r15882, r15869, r15881, MPFR_RNDN);
        mpfr_mul(r15883, r15880, r15882, MPFR_RNDN);
        mpfr_sub(r15884, r15877, r15883, MPFR_RNDN);
        mpfr_mul(r15885, r15870, r15884, MPFR_RNDN);
        mpfr_sqrt(r15886, r15885, MPFR_RNDN);
        return mpfr_get_d(r15886, MPFR_RNDN);
}

static mpfr_t r15887, r15888, r15889, r15890, r15891, r15892, r15893, r15894, r15895, r15896, r15897, r15898, r15899, r15900, r15901, r15902, r15903, r15904, r15905, r15906, r15907, r15908, r15909;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15887, "2", 10, MPFR_RNDN);
        mpfr_init(r15888);
        mpfr_init(r15889);
        mpfr_init(r15890);
        mpfr_init(r15891);
        mpfr_init(r15892);
        mpfr_init(r15893);
        mpfr_init(r15894);
        mpfr_init(r15895);
        mpfr_init(r15896);
        mpfr_init(r15897);
        mpfr_init(r15898);
        mpfr_init(r15899);
        mpfr_init(r15900);
        mpfr_init_set_str(r15901, "1", 10, MPFR_RNDN);
        mpfr_init(r15902);
        mpfr_init(r15903);
        mpfr_init(r15904);
        mpfr_init(r15905);
        mpfr_init(r15906);
        mpfr_init(r15907);
        mpfr_init(r15908);
        mpfr_init(r15909);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15888, n, MPFR_RNDN);
        mpfr_mul(r15889, r15887, r15888, MPFR_RNDN);
        mpfr_set_d(r15890, U, MPFR_RNDN);
        mpfr_set_d(r15891, t, MPFR_RNDN);
        mpfr_set_d(r15892, l, MPFR_RNDN);
        mpfr_set_d(r15893, Om, MPFR_RNDN);
        mpfr_div(r15894, r15893, r15892, MPFR_RNDN);
        mpfr_div(r15895, r15892, r15894, MPFR_RNDN);
        mpfr_mul(r15896, r15887, r15895, MPFR_RNDN);
        mpfr_sub(r15897, r15891, r15896, MPFR_RNDN);
        mpfr_div(r15898, r15892, r15893, MPFR_RNDN);
        mpfr_sqr(r15899, r15898, MPFR_RNDN);
        mpfr_mul(r15900, r15888, r15899, MPFR_RNDN);
        ;
        mpfr_pow(r15902, r15900, r15901, MPFR_RNDN);
        mpfr_set_d(r15903, U_, MPFR_RNDN);
        mpfr_sub(r15904, r15890, r15903, MPFR_RNDN);
        mpfr_mul(r15905, r15902, r15904, MPFR_RNDN);
        mpfr_sub(r15906, r15897, r15905, MPFR_RNDN);
        mpfr_mul(r15907, r15890, r15906, MPFR_RNDN);
        mpfr_mul(r15908, r15889, r15907, MPFR_RNDN);
        mpfr_sqrt(r15909, r15908, MPFR_RNDN);
        return mpfr_get_d(r15909, MPFR_RNDN);
}

static mpfr_t r15910, r15911, r15912, r15913, r15914, r15915, r15916, r15917, r15918, r15919, r15920, r15921, r15922, r15923, r15924, r15925, r15926, r15927, r15928, r15929, r15930, r15931, r15932;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15910, "2", 10, MPFR_RNDN);
        mpfr_init(r15911);
        mpfr_init(r15912);
        mpfr_init(r15913);
        mpfr_init(r15914);
        mpfr_init(r15915);
        mpfr_init(r15916);
        mpfr_init(r15917);
        mpfr_init(r15918);
        mpfr_init(r15919);
        mpfr_init(r15920);
        mpfr_init(r15921);
        mpfr_init(r15922);
        mpfr_init(r15923);
        mpfr_init_set_str(r15924, "1", 10, MPFR_RNDN);
        mpfr_init(r15925);
        mpfr_init(r15926);
        mpfr_init(r15927);
        mpfr_init(r15928);
        mpfr_init(r15929);
        mpfr_init(r15930);
        mpfr_init(r15931);
        mpfr_init(r15932);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15911, n, MPFR_RNDN);
        mpfr_mul(r15912, r15910, r15911, MPFR_RNDN);
        mpfr_set_d(r15913, U, MPFR_RNDN);
        mpfr_set_d(r15914, t, MPFR_RNDN);
        mpfr_set_d(r15915, l, MPFR_RNDN);
        mpfr_set_d(r15916, Om, MPFR_RNDN);
        mpfr_div(r15917, r15916, r15915, MPFR_RNDN);
        mpfr_div(r15918, r15915, r15917, MPFR_RNDN);
        mpfr_mul(r15919, r15910, r15918, MPFR_RNDN);
        mpfr_sub(r15920, r15914, r15919, MPFR_RNDN);
        mpfr_div(r15921, r15915, r15916, MPFR_RNDN);
        mpfr_sqr(r15922, r15921, MPFR_RNDN);
        mpfr_mul(r15923, r15911, r15922, MPFR_RNDN);
        ;
        mpfr_pow(r15925, r15923, r15924, MPFR_RNDN);
        mpfr_set_d(r15926, U_, MPFR_RNDN);
        mpfr_sub(r15927, r15913, r15926, MPFR_RNDN);
        mpfr_mul(r15928, r15925, r15927, MPFR_RNDN);
        mpfr_sub(r15929, r15920, r15928, MPFR_RNDN);
        mpfr_mul(r15930, r15913, r15929, MPFR_RNDN);
        mpfr_mul(r15931, r15912, r15930, MPFR_RNDN);
        mpfr_sqrt(r15932, r15931, MPFR_RNDN);
        return mpfr_get_d(r15932, MPFR_RNDN);
}

