#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 r15766 = 2.0f;
        float r15767 = n;
        float r15768 = r15766 * r15767;
        float r15769 = U;
        float r15770 = r15768 * r15769;
        float r15771 = t;
        float r15772 = l;
        float r15773 = r15772 * r15772;
        float r15774 = Om;
        float r15775 = r15773 / r15774;
        float r15776 = r15766 * r15775;
        float r15777 = r15771 - r15776;
        float r15778 = r15772 / r15774;
        float r15779 = r15778 * r15778;
        float r15780 = r15767 * r15779;
        float r15781 = U_;
        float r15782 = r15769 - r15781;
        float r15783 = r15780 * r15782;
        float r15784 = r15777 - r15783;
        float r15785 = r15770 * r15784;
        float r15786 = sqrt(r15785);
        return r15786;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r15787 = 2.0;
        double r15788 = n;
        double r15789 = r15787 * r15788;
        double r15790 = U;
        double r15791 = r15789 * r15790;
        double r15792 = t;
        double r15793 = l;
        double r15794 = r15793 * r15793;
        double r15795 = Om;
        double r15796 = r15794 / r15795;
        double r15797 = r15787 * r15796;
        double r15798 = r15792 - r15797;
        double r15799 = r15793 / r15795;
        double r15800 = r15799 * r15799;
        double r15801 = r15788 * r15800;
        double r15802 = U_;
        double r15803 = r15790 - r15802;
        double r15804 = r15801 * r15803;
        double r15805 = r15798 - r15804;
        double r15806 = r15791 * r15805;
        double r15807 = sqrt(r15806);
        return r15807;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r15808 = 2.0f;
        float r15809 = n;
        float r15810 = r15808 * r15809;
        float r15811 = U;
        float r15812 = r15810 * r15811;
        float r15813 = t;
        float r15814 = l;
        float r15815 = r15814 * r15814;
        float r15816 = Om;
        float r15817 = r15815 / r15816;
        float r15818 = r15808 * r15817;
        float r15819 = r15813 - r15818;
        float r15820 = r15814 / r15816;
        float r15821 = r15820 * r15820;
        float r15822 = r15809 * r15821;
        float r15823 = U_;
        float r15824 = r15811 - r15823;
        float r15825 = r15822 * r15824;
        float r15826 = r15819 - r15825;
        float r15827 = r15812 * r15826;
        float r15828 = 1.8721217873073617e-172f;
        bool r15829 = r15827 <= r15828;
        float r15830 = r15816 / r15814;
        float r15831 = r15814 / r15830;
        float r15832 = r15808 * r15831;
        float r15833 = r15813 - r15832;
        float r15834 = r15833 - r15825;
        float r15835 = r15811 * r15834;
        float r15836 = r15810 * r15835;
        float r15837 = sqrt(r15836);
        float r15838 = 1.1093388562391478e+263f;
        bool r15839 = r15827 <= r15838;
        float r15840 = r15809 * r15820;
        float r15841 = r15840 * r15820;
        float r15842 = r15841 * r15824;
        float r15843 = r15833 - r15842;
        float r15844 = r15812 * r15843;
        float r15845 = sqrt(r15844);
        float r15846 = r15839 ? r15845 : r15837;
        float r15847 = r15829 ? r15837 : r15846;
        return r15847;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r15848 = 2.0;
        double r15849 = n;
        double r15850 = r15848 * r15849;
        double r15851 = U;
        double r15852 = r15850 * r15851;
        double r15853 = t;
        double r15854 = l;
        double r15855 = r15854 * r15854;
        double r15856 = Om;
        double r15857 = r15855 / r15856;
        double r15858 = r15848 * r15857;
        double r15859 = r15853 - r15858;
        double r15860 = r15854 / r15856;
        double r15861 = r15860 * r15860;
        double r15862 = r15849 * r15861;
        double r15863 = U_;
        double r15864 = r15851 - r15863;
        double r15865 = r15862 * r15864;
        double r15866 = r15859 - r15865;
        double r15867 = r15852 * r15866;
        double r15868 = 1.8721217873073617e-172;
        bool r15869 = r15867 <= r15868;
        double r15870 = r15856 / r15854;
        double r15871 = r15854 / r15870;
        double r15872 = r15848 * r15871;
        double r15873 = r15853 - r15872;
        double r15874 = r15873 - r15865;
        double r15875 = r15851 * r15874;
        double r15876 = r15850 * r15875;
        double r15877 = sqrt(r15876);
        double r15878 = 1.1093388562391478e+263;
        bool r15879 = r15867 <= r15878;
        double r15880 = r15849 * r15860;
        double r15881 = r15880 * r15860;
        double r15882 = r15881 * r15864;
        double r15883 = r15873 - r15882;
        double r15884 = r15852 * r15883;
        double r15885 = sqrt(r15884);
        double r15886 = r15879 ? r15885 : r15877;
        double r15887 = r15869 ? r15877 : r15886;
        return r15887;
}

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

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15888, "2", 10, MPFR_RNDN);
        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(r15901);
        mpfr_init(r15902);
        mpfr_init(r15903);
        mpfr_init(r15904);
        mpfr_init(r15905);
        mpfr_init(r15906);
        mpfr_init(r15907);
        mpfr_init(r15908);
}

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

static mpfr_t r15909, r15910, r15911, r15912, r15913, r15914, r15915, r15916, r15917, r15918, r15919, r15920, r15921, r15922, r15923, r15924, r15925, r15926, r15927, r15928, r15929, r15930, r15931, r15932, r15933, r15934, r15935, r15936, r15937, r15938, r15939, r15940, r15941, r15942, r15943, r15944, r15945, r15946, r15947, r15948;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15909, "2", 10, MPFR_RNDN);
        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(r15920);
        mpfr_init(r15921);
        mpfr_init(r15922);
        mpfr_init(r15923);
        mpfr_init(r15924);
        mpfr_init(r15925);
        mpfr_init(r15926);
        mpfr_init(r15927);
        mpfr_init(r15928);
        mpfr_init_set_str(r15929, "1.8721217873073617e-172", 10, MPFR_RNDN);
        mpfr_init(r15930);
        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_set_str(r15939, "1.1093388562391478e+263", 10, MPFR_RNDN);
        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);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15910, n, MPFR_RNDN);
        mpfr_mul(r15911, r15909, r15910, MPFR_RNDN);
        mpfr_set_d(r15912, U, MPFR_RNDN);
        mpfr_mul(r15913, r15911, r15912, MPFR_RNDN);
        mpfr_set_d(r15914, t, MPFR_RNDN);
        mpfr_set_d(r15915, l, MPFR_RNDN);
        mpfr_sqr(r15916, r15915, MPFR_RNDN);
        mpfr_set_d(r15917, Om, MPFR_RNDN);
        mpfr_div(r15918, r15916, r15917, MPFR_RNDN);
        mpfr_mul(r15919, r15909, r15918, MPFR_RNDN);
        mpfr_sub(r15920, r15914, r15919, MPFR_RNDN);
        mpfr_div(r15921, r15915, r15917, MPFR_RNDN);
        mpfr_sqr(r15922, r15921, MPFR_RNDN);
        mpfr_mul(r15923, r15910, r15922, MPFR_RNDN);
        mpfr_set_d(r15924, U_, MPFR_RNDN);
        mpfr_sub(r15925, r15912, r15924, MPFR_RNDN);
        mpfr_mul(r15926, r15923, r15925, MPFR_RNDN);
        mpfr_sub(r15927, r15920, r15926, MPFR_RNDN);
        mpfr_mul(r15928, r15913, r15927, MPFR_RNDN);
        ;
        mpfr_set_si(r15930, mpfr_cmp(r15928, r15929) <= 0, MPFR_RNDN);
        mpfr_div(r15931, r15917, r15915, MPFR_RNDN);
        mpfr_div(r15932, r15915, r15931, MPFR_RNDN);
        mpfr_mul(r15933, r15909, r15932, MPFR_RNDN);
        mpfr_sub(r15934, r15914, r15933, MPFR_RNDN);
        mpfr_sub(r15935, r15934, r15926, MPFR_RNDN);
        mpfr_mul(r15936, r15912, r15935, MPFR_RNDN);
        mpfr_mul(r15937, r15911, r15936, MPFR_RNDN);
        mpfr_sqrt(r15938, r15937, MPFR_RNDN);
        ;
        mpfr_set_si(r15940, mpfr_cmp(r15928, r15939) <= 0, MPFR_RNDN);
        mpfr_mul(r15941, r15910, r15921, MPFR_RNDN);
        mpfr_mul(r15942, r15941, r15921, MPFR_RNDN);
        mpfr_mul(r15943, r15942, r15925, MPFR_RNDN);
        mpfr_sub(r15944, r15934, r15943, MPFR_RNDN);
        mpfr_mul(r15945, r15913, r15944, MPFR_RNDN);
        mpfr_sqrt(r15946, r15945, MPFR_RNDN);
        if (mpfr_get_si(r15940, MPFR_RNDN)) { mpfr_set(r15947, r15946, MPFR_RNDN); } else { mpfr_set(r15947, r15938, MPFR_RNDN); };
        if (mpfr_get_si(r15930, MPFR_RNDN)) { mpfr_set(r15948, r15938, MPFR_RNDN); } else { mpfr_set(r15948, r15947, MPFR_RNDN); };
        return mpfr_get_d(r15948, MPFR_RNDN);
}

static mpfr_t r15949, r15950, r15951, r15952, r15953, r15954, r15955, r15956, r15957, r15958, r15959, r15960, r15961, r15962, r15963, r15964, r15965, r15966, r15967, r15968, r15969, r15970, r15971, r15972, r15973, r15974, r15975, r15976, r15977, r15978, r15979, r15980, r15981, r15982, r15983, r15984, r15985, r15986, r15987, r15988;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15949, "2", 10, MPFR_RNDN);
        mpfr_init(r15950);
        mpfr_init(r15951);
        mpfr_init(r15952);
        mpfr_init(r15953);
        mpfr_init(r15954);
        mpfr_init(r15955);
        mpfr_init(r15956);
        mpfr_init(r15957);
        mpfr_init(r15958);
        mpfr_init(r15959);
        mpfr_init(r15960);
        mpfr_init(r15961);
        mpfr_init(r15962);
        mpfr_init(r15963);
        mpfr_init(r15964);
        mpfr_init(r15965);
        mpfr_init(r15966);
        mpfr_init(r15967);
        mpfr_init(r15968);
        mpfr_init_set_str(r15969, "1.8721217873073617e-172", 10, MPFR_RNDN);
        mpfr_init(r15970);
        mpfr_init(r15971);
        mpfr_init(r15972);
        mpfr_init(r15973);
        mpfr_init(r15974);
        mpfr_init(r15975);
        mpfr_init(r15976);
        mpfr_init(r15977);
        mpfr_init(r15978);
        mpfr_init_set_str(r15979, "1.1093388562391478e+263", 10, MPFR_RNDN);
        mpfr_init(r15980);
        mpfr_init(r15981);
        mpfr_init(r15982);
        mpfr_init(r15983);
        mpfr_init(r15984);
        mpfr_init(r15985);
        mpfr_init(r15986);
        mpfr_init(r15987);
        mpfr_init(r15988);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15950, n, MPFR_RNDN);
        mpfr_mul(r15951, r15949, r15950, MPFR_RNDN);
        mpfr_set_d(r15952, U, MPFR_RNDN);
        mpfr_mul(r15953, r15951, r15952, MPFR_RNDN);
        mpfr_set_d(r15954, t, MPFR_RNDN);
        mpfr_set_d(r15955, l, MPFR_RNDN);
        mpfr_sqr(r15956, r15955, MPFR_RNDN);
        mpfr_set_d(r15957, Om, MPFR_RNDN);
        mpfr_div(r15958, r15956, r15957, MPFR_RNDN);
        mpfr_mul(r15959, r15949, r15958, MPFR_RNDN);
        mpfr_sub(r15960, r15954, r15959, MPFR_RNDN);
        mpfr_div(r15961, r15955, r15957, MPFR_RNDN);
        mpfr_sqr(r15962, r15961, MPFR_RNDN);
        mpfr_mul(r15963, r15950, r15962, MPFR_RNDN);
        mpfr_set_d(r15964, U_, MPFR_RNDN);
        mpfr_sub(r15965, r15952, r15964, MPFR_RNDN);
        mpfr_mul(r15966, r15963, r15965, MPFR_RNDN);
        mpfr_sub(r15967, r15960, r15966, MPFR_RNDN);
        mpfr_mul(r15968, r15953, r15967, MPFR_RNDN);
        ;
        mpfr_set_si(r15970, mpfr_cmp(r15968, r15969) <= 0, MPFR_RNDN);
        mpfr_div(r15971, r15957, r15955, MPFR_RNDN);
        mpfr_div(r15972, r15955, r15971, MPFR_RNDN);
        mpfr_mul(r15973, r15949, r15972, MPFR_RNDN);
        mpfr_sub(r15974, r15954, r15973, MPFR_RNDN);
        mpfr_sub(r15975, r15974, r15966, MPFR_RNDN);
        mpfr_mul(r15976, r15952, r15975, MPFR_RNDN);
        mpfr_mul(r15977, r15951, r15976, MPFR_RNDN);
        mpfr_sqrt(r15978, r15977, MPFR_RNDN);
        ;
        mpfr_set_si(r15980, mpfr_cmp(r15968, r15979) <= 0, MPFR_RNDN);
        mpfr_mul(r15981, r15950, r15961, MPFR_RNDN);
        mpfr_mul(r15982, r15981, r15961, MPFR_RNDN);
        mpfr_mul(r15983, r15982, r15965, MPFR_RNDN);
        mpfr_sub(r15984, r15974, r15983, MPFR_RNDN);
        mpfr_mul(r15985, r15953, r15984, MPFR_RNDN);
        mpfr_sqrt(r15986, r15985, MPFR_RNDN);
        if (mpfr_get_si(r15980, MPFR_RNDN)) { mpfr_set(r15987, r15986, MPFR_RNDN); } else { mpfr_set(r15987, r15978, MPFR_RNDN); };
        if (mpfr_get_si(r15970, MPFR_RNDN)) { mpfr_set(r15988, r15978, MPFR_RNDN); } else { mpfr_set(r15988, r15987, MPFR_RNDN); };
        return mpfr_get_d(r15988, MPFR_RNDN);
}