#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 = U;
        float r15817 = -4.5062436167830026e+18f;
        bool r15818 = r15816 <= r15817;
        float r15819 = 2.0f;
        float r15820 = n;
        float r15821 = r15819 * r15820;
        float r15822 = r15821 * r15816;
        float r15823 = t;
        float r15824 = l;
        float r15825 = Om;
        float r15826 = r15825 / r15824;
        float r15827 = r15824 / r15826;
        float r15828 = r15819 * r15827;
        float r15829 = r15823 - r15828;
        float r15830 = r15824 / r15825;
        float r15831 = r15830 * r15830;
        float r15832 = r15820 * r15831;
        float r15833 = U_;
        float r15834 = r15816 - r15833;
        float r15835 = r15832 * r15834;
        float r15836 = r15829 - r15835;
        float r15837 = r15822 * r15836;
        float r15838 = sqrt(r15837);
        float r15839 = 1.2015854794190712e-92f;
        bool r15840 = r15816 <= r15839;
        float r15841 = r15816 * r15836;
        float r15842 = r15821 * r15841;
        float r15843 = sqrt(r15842);
        float r15844 = r15840 ? r15843 : r15838;
        float r15845 = r15818 ? r15838 : r15844;
        return r15845;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r15846 = U;
        double r15847 = -4.5062436167830026e+18;
        bool r15848 = r15846 <= r15847;
        double r15849 = 2.0;
        double r15850 = n;
        double r15851 = r15849 * r15850;
        double r15852 = r15851 * r15846;
        double r15853 = t;
        double r15854 = l;
        double r15855 = Om;
        double r15856 = r15855 / r15854;
        double r15857 = r15854 / r15856;
        double r15858 = r15849 * r15857;
        double r15859 = r15853 - r15858;
        double r15860 = r15854 / r15855;
        double r15861 = r15860 * r15860;
        double r15862 = r15850 * r15861;
        double r15863 = U_;
        double r15864 = r15846 - r15863;
        double r15865 = r15862 * r15864;
        double r15866 = r15859 - r15865;
        double r15867 = r15852 * r15866;
        double r15868 = sqrt(r15867);
        double r15869 = 1.2015854794190712e-92;
        bool r15870 = r15846 <= r15869;
        double r15871 = r15846 * r15866;
        double r15872 = r15851 * r15871;
        double r15873 = sqrt(r15872);
        double r15874 = r15870 ? r15873 : r15868;
        double r15875 = r15848 ? r15868 : r15874;
        return r15875;
}

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 r15876, r15877, r15878, r15879, r15880, r15881, r15882, r15883, r15884, r15885, r15886, r15887, r15888, r15889, r15890, r15891, r15892, r15893, r15894, r15895, r15896;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15876, "2", 10, MPFR_RNDN);
        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);
        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);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15877, n, MPFR_RNDN);
        mpfr_mul(r15878, r15876, r15877, MPFR_RNDN);
        mpfr_set_d(r15879, U, MPFR_RNDN);
        mpfr_mul(r15880, r15878, r15879, MPFR_RNDN);
        mpfr_set_d(r15881, t, MPFR_RNDN);
        mpfr_set_d(r15882, l, MPFR_RNDN);
        mpfr_sqr(r15883, r15882, MPFR_RNDN);
        mpfr_set_d(r15884, Om, MPFR_RNDN);
        mpfr_div(r15885, r15883, r15884, MPFR_RNDN);
        mpfr_mul(r15886, r15876, r15885, MPFR_RNDN);
        mpfr_sub(r15887, r15881, r15886, MPFR_RNDN);
        mpfr_div(r15888, r15882, r15884, MPFR_RNDN);
        mpfr_sqr(r15889, r15888, MPFR_RNDN);
        mpfr_mul(r15890, r15877, r15889, MPFR_RNDN);
        mpfr_set_d(r15891, U_, MPFR_RNDN);
        mpfr_sub(r15892, r15879, r15891, MPFR_RNDN);
        mpfr_mul(r15893, r15890, r15892, MPFR_RNDN);
        mpfr_sub(r15894, r15887, r15893, MPFR_RNDN);
        mpfr_mul(r15895, r15880, r15894, MPFR_RNDN);
        mpfr_sqrt(r15896, r15895, MPFR_RNDN);
        return mpfr_get_d(r15896, MPFR_RNDN);
}

static mpfr_t r15897, r15898, r15899, r15900, r15901, r15902, r15903, r15904, r15905, r15906, r15907, r15908, r15909, r15910, r15911, r15912, r15913, r15914, r15915, r15916, r15917, r15918, r15919, r15920, r15921, r15922, r15923, r15924, r15925, r15926;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15897);
        mpfr_init_set_str(r15898, "-4.5062436167830026e+18", 10, MPFR_RNDN);
        mpfr_init(r15899);
        mpfr_init_set_str(r15900, "2", 10, MPFR_RNDN);
        mpfr_init(r15901);
        mpfr_init(r15902);
        mpfr_init(r15903);
        mpfr_init(r15904);
        mpfr_init(r15905);
        mpfr_init(r15906);
        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, "1.2015854794190712e-92", 10, MPFR_RNDN);
        mpfr_init(r15921);
        mpfr_init(r15922);
        mpfr_init(r15923);
        mpfr_init(r15924);
        mpfr_init(r15925);
        mpfr_init(r15926);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r15897, U, MPFR_RNDN);
        ;
        mpfr_set_si(r15899, mpfr_cmp(r15897, r15898) <= 0, MPFR_RNDN);
        ;
        mpfr_set_d(r15901, n, MPFR_RNDN);
        mpfr_mul(r15902, r15900, r15901, MPFR_RNDN);
        mpfr_mul(r15903, r15902, r15897, MPFR_RNDN);
        mpfr_set_d(r15904, t, MPFR_RNDN);
        mpfr_set_d(r15905, l, MPFR_RNDN);
        mpfr_set_d(r15906, Om, MPFR_RNDN);
        mpfr_div(r15907, r15906, r15905, MPFR_RNDN);
        mpfr_div(r15908, r15905, r15907, MPFR_RNDN);
        mpfr_mul(r15909, r15900, r15908, MPFR_RNDN);
        mpfr_sub(r15910, r15904, r15909, MPFR_RNDN);
        mpfr_div(r15911, r15905, r15906, MPFR_RNDN);
        mpfr_sqr(r15912, r15911, MPFR_RNDN);
        mpfr_mul(r15913, r15901, r15912, MPFR_RNDN);
        mpfr_set_d(r15914, U_, MPFR_RNDN);
        mpfr_sub(r15915, r15897, r15914, MPFR_RNDN);
        mpfr_mul(r15916, r15913, r15915, MPFR_RNDN);
        mpfr_sub(r15917, r15910, r15916, MPFR_RNDN);
        mpfr_mul(r15918, r15903, r15917, MPFR_RNDN);
        mpfr_sqrt(r15919, r15918, MPFR_RNDN);
        ;
        mpfr_set_si(r15921, mpfr_cmp(r15897, r15920) <= 0, MPFR_RNDN);
        mpfr_mul(r15922, r15897, r15917, MPFR_RNDN);
        mpfr_mul(r15923, r15902, r15922, MPFR_RNDN);
        mpfr_sqrt(r15924, r15923, MPFR_RNDN);
        if (mpfr_get_si(r15921, MPFR_RNDN)) { mpfr_set(r15925, r15924, MPFR_RNDN); } else { mpfr_set(r15925, r15919, MPFR_RNDN); };
        if (mpfr_get_si(r15899, MPFR_RNDN)) { mpfr_set(r15926, r15919, MPFR_RNDN); } else { mpfr_set(r15926, r15925, MPFR_RNDN); };
        return mpfr_get_d(r15926, MPFR_RNDN);
}

static mpfr_t r15927, r15928, r15929, r15930, r15931, r15932, r15933, r15934, r15935, r15936, r15937, r15938, r15939, r15940, r15941, r15942, r15943, r15944, r15945, r15946, r15947, r15948, r15949, r15950, r15951, r15952, r15953, r15954, r15955, r15956;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15927);
        mpfr_init_set_str(r15928, "-4.5062436167830026e+18", 10, MPFR_RNDN);
        mpfr_init(r15929);
        mpfr_init_set_str(r15930, "2", 10, MPFR_RNDN);
        mpfr_init(r15931);
        mpfr_init(r15932);
        mpfr_init(r15933);
        mpfr_init(r15934);
        mpfr_init(r15935);
        mpfr_init(r15936);
        mpfr_init(r15937);
        mpfr_init(r15938);
        mpfr_init(r15939);
        mpfr_init(r15940);
        mpfr_init(r15941);
        mpfr_init(r15942);
        mpfr_init(r15943);
        mpfr_init(r15944);
        mpfr_init(r15945);
        mpfr_init(r15946);
        mpfr_init(r15947);
        mpfr_init(r15948);
        mpfr_init(r15949);
        mpfr_init_set_str(r15950, "1.2015854794190712e-92", 10, MPFR_RNDN);
        mpfr_init(r15951);
        mpfr_init(r15952);
        mpfr_init(r15953);
        mpfr_init(r15954);
        mpfr_init(r15955);
        mpfr_init(r15956);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r15927, U, MPFR_RNDN);
        ;
        mpfr_set_si(r15929, mpfr_cmp(r15927, r15928) <= 0, MPFR_RNDN);
        ;
        mpfr_set_d(r15931, n, MPFR_RNDN);
        mpfr_mul(r15932, r15930, r15931, MPFR_RNDN);
        mpfr_mul(r15933, r15932, r15927, MPFR_RNDN);
        mpfr_set_d(r15934, t, MPFR_RNDN);
        mpfr_set_d(r15935, l, MPFR_RNDN);
        mpfr_set_d(r15936, Om, MPFR_RNDN);
        mpfr_div(r15937, r15936, r15935, MPFR_RNDN);
        mpfr_div(r15938, r15935, r15937, MPFR_RNDN);
        mpfr_mul(r15939, r15930, r15938, MPFR_RNDN);
        mpfr_sub(r15940, r15934, r15939, MPFR_RNDN);
        mpfr_div(r15941, r15935, r15936, MPFR_RNDN);
        mpfr_sqr(r15942, r15941, MPFR_RNDN);
        mpfr_mul(r15943, r15931, r15942, MPFR_RNDN);
        mpfr_set_d(r15944, U_, MPFR_RNDN);
        mpfr_sub(r15945, r15927, r15944, MPFR_RNDN);
        mpfr_mul(r15946, r15943, r15945, MPFR_RNDN);
        mpfr_sub(r15947, r15940, r15946, MPFR_RNDN);
        mpfr_mul(r15948, r15933, r15947, MPFR_RNDN);
        mpfr_sqrt(r15949, r15948, MPFR_RNDN);
        ;
        mpfr_set_si(r15951, mpfr_cmp(r15927, r15950) <= 0, MPFR_RNDN);
        mpfr_mul(r15952, r15927, r15947, MPFR_RNDN);
        mpfr_mul(r15953, r15932, r15952, MPFR_RNDN);
        mpfr_sqrt(r15954, r15953, MPFR_RNDN);
        if (mpfr_get_si(r15951, MPFR_RNDN)) { mpfr_set(r15955, r15954, MPFR_RNDN); } else { mpfr_set(r15955, r15949, MPFR_RNDN); };
        if (mpfr_get_si(r15929, MPFR_RNDN)) { mpfr_set(r15956, r15949, MPFR_RNDN); } else { mpfr_set(r15956, r15955, MPFR_RNDN); };
        return mpfr_get_d(r15956, MPFR_RNDN);
}

