#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 r15774 = 2.0f;
        float r15775 = n;
        float r15776 = r15774 * r15775;
        float r15777 = U;
        float r15778 = r15776 * r15777;
        float r15779 = t;
        float r15780 = l;
        float r15781 = r15780 * r15780;
        float r15782 = Om;
        float r15783 = r15781 / r15782;
        float r15784 = r15774 * r15783;
        float r15785 = r15779 - r15784;
        float r15786 = r15780 / r15782;
        float r15787 = r15786 * r15786;
        float r15788 = r15775 * r15787;
        float r15789 = U_;
        float r15790 = r15777 - r15789;
        float r15791 = r15788 * r15790;
        float r15792 = r15785 - r15791;
        float r15793 = r15778 * r15792;
        float r15794 = sqrt(r15793);
        return r15794;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r15795 = 2.0;
        double r15796 = n;
        double r15797 = r15795 * r15796;
        double r15798 = U;
        double r15799 = r15797 * r15798;
        double r15800 = t;
        double r15801 = l;
        double r15802 = r15801 * r15801;
        double r15803 = Om;
        double r15804 = r15802 / r15803;
        double r15805 = r15795 * r15804;
        double r15806 = r15800 - r15805;
        double r15807 = r15801 / r15803;
        double r15808 = r15807 * r15807;
        double r15809 = r15796 * r15808;
        double r15810 = U_;
        double r15811 = r15798 - r15810;
        double r15812 = r15809 * r15811;
        double r15813 = r15806 - r15812;
        double r15814 = r15799 * r15813;
        double r15815 = sqrt(r15814);
        return r15815;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r15816 = 2.0f;
        float r15817 = n;
        float r15818 = r15816 * r15817;
        float r15819 = U;
        float r15820 = t;
        float r15821 = l;
        float r15822 = Om;
        float r15823 = r15822 / r15821;
        float r15824 = r15821 / r15823;
        float r15825 = r15816 * r15824;
        float r15826 = r15820 - r15825;
        float r15827 = r15821 / r15822;
        float r15828 = r15827 * r15827;
        float r15829 = r15817 * r15828;
        float r15830 = 1.0f;
        float r15831 = pow(r15829, r15830);
        float r15832 = U_;
        float r15833 = r15819 - r15832;
        float r15834 = r15831 * r15833;
        float r15835 = r15826 - r15834;
        float r15836 = r15819 * r15835;
        float r15837 = r15818 * r15836;
        float r15838 = sqrt(r15837);
        return r15838;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r15839 = 2.0;
        double r15840 = n;
        double r15841 = r15839 * r15840;
        double r15842 = U;
        double r15843 = t;
        double r15844 = l;
        double r15845 = Om;
        double r15846 = r15845 / r15844;
        double r15847 = r15844 / r15846;
        double r15848 = r15839 * r15847;
        double r15849 = r15843 - r15848;
        double r15850 = r15844 / r15845;
        double r15851 = r15850 * r15850;
        double r15852 = r15840 * r15851;
        double r15853 = 1.0;
        double r15854 = pow(r15852, r15853);
        double r15855 = U_;
        double r15856 = r15842 - r15855;
        double r15857 = r15854 * r15856;
        double r15858 = r15849 - r15857;
        double r15859 = r15842 * r15858;
        double r15860 = r15841 * r15859;
        double r15861 = sqrt(r15860);
        return r15861;
}

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 r15862, r15863, r15864, r15865, r15866, r15867, r15868, r15869, r15870, r15871, r15872, r15873, r15874, r15875, r15876, r15877, r15878, r15879, r15880, r15881, r15882;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15862, "2", 10, MPFR_RNDN);
        mpfr_init(r15863);
        mpfr_init(r15864);
        mpfr_init(r15865);
        mpfr_init(r15866);
        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);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15863, n, MPFR_RNDN);
        mpfr_mul(r15864, r15862, r15863, MPFR_RNDN);
        mpfr_set_d(r15865, U, MPFR_RNDN);
        mpfr_mul(r15866, r15864, r15865, MPFR_RNDN);
        mpfr_set_d(r15867, t, MPFR_RNDN);
        mpfr_set_d(r15868, l, MPFR_RNDN);
        mpfr_sqr(r15869, r15868, MPFR_RNDN);
        mpfr_set_d(r15870, Om, MPFR_RNDN);
        mpfr_div(r15871, r15869, r15870, MPFR_RNDN);
        mpfr_mul(r15872, r15862, r15871, MPFR_RNDN);
        mpfr_sub(r15873, r15867, r15872, MPFR_RNDN);
        mpfr_div(r15874, r15868, r15870, MPFR_RNDN);
        mpfr_sqr(r15875, r15874, MPFR_RNDN);
        mpfr_mul(r15876, r15863, r15875, MPFR_RNDN);
        mpfr_set_d(r15877, U_, MPFR_RNDN);
        mpfr_sub(r15878, r15865, r15877, MPFR_RNDN);
        mpfr_mul(r15879, r15876, r15878, MPFR_RNDN);
        mpfr_sub(r15880, r15873, r15879, MPFR_RNDN);
        mpfr_mul(r15881, r15866, r15880, MPFR_RNDN);
        mpfr_sqrt(r15882, r15881, MPFR_RNDN);
        return mpfr_get_d(r15882, MPFR_RNDN);
}

static mpfr_t r15883, r15884, r15885, r15886, r15887, r15888, r15889, r15890, r15891, r15892, r15893, r15894, r15895, r15896, r15897, r15898, r15899, r15900, r15901, r15902, r15903, r15904, r15905;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15883, "2", 10, MPFR_RNDN);
        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(r15892);
        mpfr_init(r15893);
        mpfr_init(r15894);
        mpfr_init(r15895);
        mpfr_init(r15896);
        mpfr_init_set_str(r15897, "1", 10, MPFR_RNDN);
        mpfr_init(r15898);
        mpfr_init(r15899);
        mpfr_init(r15900);
        mpfr_init(r15901);
        mpfr_init(r15902);
        mpfr_init(r15903);
        mpfr_init(r15904);
        mpfr_init(r15905);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15884, n, MPFR_RNDN);
        mpfr_mul(r15885, r15883, r15884, MPFR_RNDN);
        mpfr_set_d(r15886, U, MPFR_RNDN);
        mpfr_set_d(r15887, t, MPFR_RNDN);
        mpfr_set_d(r15888, l, MPFR_RNDN);
        mpfr_set_d(r15889, Om, MPFR_RNDN);
        mpfr_div(r15890, r15889, r15888, MPFR_RNDN);
        mpfr_div(r15891, r15888, r15890, MPFR_RNDN);
        mpfr_mul(r15892, r15883, r15891, MPFR_RNDN);
        mpfr_sub(r15893, r15887, r15892, MPFR_RNDN);
        mpfr_div(r15894, r15888, r15889, MPFR_RNDN);
        mpfr_sqr(r15895, r15894, MPFR_RNDN);
        mpfr_mul(r15896, r15884, r15895, MPFR_RNDN);
        ;
        mpfr_pow(r15898, r15896, r15897, MPFR_RNDN);
        mpfr_set_d(r15899, U_, MPFR_RNDN);
        mpfr_sub(r15900, r15886, r15899, MPFR_RNDN);
        mpfr_mul(r15901, r15898, r15900, MPFR_RNDN);
        mpfr_sub(r15902, r15893, r15901, MPFR_RNDN);
        mpfr_mul(r15903, r15886, r15902, MPFR_RNDN);
        mpfr_mul(r15904, r15885, r15903, MPFR_RNDN);
        mpfr_sqrt(r15905, r15904, MPFR_RNDN);
        return mpfr_get_d(r15905, MPFR_RNDN);
}

static mpfr_t r15906, r15907, r15908, r15909, r15910, r15911, r15912, r15913, r15914, r15915, r15916, r15917, r15918, r15919, r15920, r15921, r15922, r15923, r15924, r15925, r15926, r15927, r15928;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15906, "2", 10, MPFR_RNDN);
        mpfr_init(r15907);
        mpfr_init(r15908);
        mpfr_init(r15909);
        mpfr_init(r15910);
        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_set_str(r15920, "1", 10, MPFR_RNDN);
        mpfr_init(r15921);
        mpfr_init(r15922);
        mpfr_init(r15923);
        mpfr_init(r15924);
        mpfr_init(r15925);
        mpfr_init(r15926);
        mpfr_init(r15927);
        mpfr_init(r15928);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15907, n, MPFR_RNDN);
        mpfr_mul(r15908, r15906, r15907, MPFR_RNDN);
        mpfr_set_d(r15909, U, MPFR_RNDN);
        mpfr_set_d(r15910, t, MPFR_RNDN);
        mpfr_set_d(r15911, l, MPFR_RNDN);
        mpfr_set_d(r15912, Om, MPFR_RNDN);
        mpfr_div(r15913, r15912, r15911, MPFR_RNDN);
        mpfr_div(r15914, r15911, r15913, MPFR_RNDN);
        mpfr_mul(r15915, r15906, r15914, MPFR_RNDN);
        mpfr_sub(r15916, r15910, r15915, MPFR_RNDN);
        mpfr_div(r15917, r15911, r15912, MPFR_RNDN);
        mpfr_sqr(r15918, r15917, MPFR_RNDN);
        mpfr_mul(r15919, r15907, r15918, MPFR_RNDN);
        ;
        mpfr_pow(r15921, r15919, r15920, MPFR_RNDN);
        mpfr_set_d(r15922, U_, MPFR_RNDN);
        mpfr_sub(r15923, r15909, r15922, MPFR_RNDN);
        mpfr_mul(r15924, r15921, r15923, MPFR_RNDN);
        mpfr_sub(r15925, r15916, r15924, MPFR_RNDN);
        mpfr_mul(r15926, r15909, r15925, MPFR_RNDN);
        mpfr_mul(r15927, r15908, r15926, MPFR_RNDN);
        mpfr_sqrt(r15928, r15927, MPFR_RNDN);
        return mpfr_get_d(r15928, MPFR_RNDN);
}

