#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 = t;
        float r15821 = -8.097405444153384e-198f;
        bool r15822 = r15820 <= r15821;
        float r15823 = 2.0f;
        float r15824 = n;
        float r15825 = r15823 * r15824;
        float r15826 = U;
        float r15827 = l;
        float r15828 = Om;
        float r15829 = r15828 / r15827;
        float r15830 = r15827 / r15829;
        float r15831 = r15823 * r15830;
        float r15832 = r15820 - r15831;
        float r15833 = r15827 / r15828;
        float r15834 = r15824 * r15833;
        float r15835 = r15834 * r15833;
        float r15836 = U_;
        float r15837 = r15826 - r15836;
        float r15838 = r15835 * r15837;
        float r15839 = r15832 - r15838;
        float r15840 = r15826 * r15839;
        float r15841 = r15825 * r15840;
        float r15842 = sqrt(r15841);
        float r15843 = -8.462925704692662e-291f;
        bool r15844 = r15820 <= r15843;
        float r15845 = r15825 * r15826;
        float r15846 = r15845 * r15839;
        float r15847 = sqrt(r15846);
        float r15848 = sqrt(r15845);
        float r15849 = r15833 * r15833;
        float r15850 = r15824 * r15849;
        float r15851 = r15850 * r15837;
        float r15852 = r15832 - r15851;
        float r15853 = sqrt(r15852);
        float r15854 = r15848 * r15853;
        float r15855 = r15844 ? r15847 : r15854;
        float r15856 = r15822 ? r15842 : r15855;
        return r15856;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r15857 = t;
        double r15858 = -8.097405444153384e-198;
        bool r15859 = r15857 <= r15858;
        double r15860 = 2.0;
        double r15861 = n;
        double r15862 = r15860 * r15861;
        double r15863 = U;
        double r15864 = l;
        double r15865 = Om;
        double r15866 = r15865 / r15864;
        double r15867 = r15864 / r15866;
        double r15868 = r15860 * r15867;
        double r15869 = r15857 - r15868;
        double r15870 = r15864 / r15865;
        double r15871 = r15861 * r15870;
        double r15872 = r15871 * r15870;
        double r15873 = U_;
        double r15874 = r15863 - r15873;
        double r15875 = r15872 * r15874;
        double r15876 = r15869 - r15875;
        double r15877 = r15863 * r15876;
        double r15878 = r15862 * r15877;
        double r15879 = sqrt(r15878);
        double r15880 = -8.462925704692662e-291;
        bool r15881 = r15857 <= r15880;
        double r15882 = r15862 * r15863;
        double r15883 = r15882 * r15876;
        double r15884 = sqrt(r15883);
        double r15885 = sqrt(r15882);
        double r15886 = r15870 * r15870;
        double r15887 = r15861 * r15886;
        double r15888 = r15887 * r15874;
        double r15889 = r15869 - r15888;
        double r15890 = sqrt(r15889);
        double r15891 = r15885 * r15890;
        double r15892 = r15881 ? r15884 : r15891;
        double r15893 = r15859 ? r15879 : r15892;
        return r15893;
}

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 r15894, r15895, r15896, r15897, r15898, r15899, r15900, r15901, r15902, r15903, r15904, r15905, r15906, r15907, r15908, r15909, r15910, r15911, r15912, r15913, r15914;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15894, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r15909);
        mpfr_init(r15910);
        mpfr_init(r15911);
        mpfr_init(r15912);
        mpfr_init(r15913);
        mpfr_init(r15914);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15895, n, MPFR_RNDN);
        mpfr_mul(r15896, r15894, r15895, MPFR_RNDN);
        mpfr_set_d(r15897, U, MPFR_RNDN);
        mpfr_mul(r15898, r15896, r15897, MPFR_RNDN);
        mpfr_set_d(r15899, t, MPFR_RNDN);
        mpfr_set_d(r15900, l, MPFR_RNDN);
        mpfr_sqr(r15901, r15900, MPFR_RNDN);
        mpfr_set_d(r15902, Om, MPFR_RNDN);
        mpfr_div(r15903, r15901, r15902, MPFR_RNDN);
        mpfr_mul(r15904, r15894, r15903, MPFR_RNDN);
        mpfr_sub(r15905, r15899, r15904, MPFR_RNDN);
        mpfr_div(r15906, r15900, r15902, MPFR_RNDN);
        mpfr_sqr(r15907, r15906, MPFR_RNDN);
        mpfr_mul(r15908, r15895, r15907, MPFR_RNDN);
        mpfr_set_d(r15909, U_, MPFR_RNDN);
        mpfr_sub(r15910, r15897, r15909, MPFR_RNDN);
        mpfr_mul(r15911, r15908, r15910, MPFR_RNDN);
        mpfr_sub(r15912, r15905, r15911, MPFR_RNDN);
        mpfr_mul(r15913, r15898, r15912, MPFR_RNDN);
        mpfr_sqrt(r15914, r15913, MPFR_RNDN);
        return mpfr_get_d(r15914, MPFR_RNDN);
}

static mpfr_t 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, r15949, r15950, r15951;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15915);
        mpfr_init_set_str(r15916, "-8.097405444153384e-198", 10, MPFR_RNDN);
        mpfr_init(r15917);
        mpfr_init_set_str(r15918, "2", 10, MPFR_RNDN);
        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(r15929);
        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_set_str(r15938, "-8.462925704692662e-291", 10, MPFR_RNDN);
        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(r15950);
        mpfr_init(r15951);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r15915, t, MPFR_RNDN);
        ;
        mpfr_set_si(r15917, mpfr_cmp(r15915, r15916) <= 0, MPFR_RNDN);
        ;
        mpfr_set_d(r15919, n, MPFR_RNDN);
        mpfr_mul(r15920, r15918, r15919, MPFR_RNDN);
        mpfr_set_d(r15921, U, MPFR_RNDN);
        mpfr_set_d(r15922, l, MPFR_RNDN);
        mpfr_set_d(r15923, Om, MPFR_RNDN);
        mpfr_div(r15924, r15923, r15922, MPFR_RNDN);
        mpfr_div(r15925, r15922, r15924, MPFR_RNDN);
        mpfr_mul(r15926, r15918, r15925, MPFR_RNDN);
        mpfr_sub(r15927, r15915, r15926, MPFR_RNDN);
        mpfr_div(r15928, r15922, r15923, MPFR_RNDN);
        mpfr_mul(r15929, r15919, r15928, MPFR_RNDN);
        mpfr_mul(r15930, r15929, r15928, MPFR_RNDN);
        mpfr_set_d(r15931, U_, MPFR_RNDN);
        mpfr_sub(r15932, r15921, r15931, MPFR_RNDN);
        mpfr_mul(r15933, r15930, r15932, MPFR_RNDN);
        mpfr_sub(r15934, r15927, r15933, MPFR_RNDN);
        mpfr_mul(r15935, r15921, r15934, MPFR_RNDN);
        mpfr_mul(r15936, r15920, r15935, MPFR_RNDN);
        mpfr_sqrt(r15937, r15936, MPFR_RNDN);
        ;
        mpfr_set_si(r15939, mpfr_cmp(r15915, r15938) <= 0, MPFR_RNDN);
        mpfr_mul(r15940, r15920, r15921, MPFR_RNDN);
        mpfr_mul(r15941, r15940, r15934, MPFR_RNDN);
        mpfr_sqrt(r15942, r15941, MPFR_RNDN);
        mpfr_sqrt(r15943, r15940, MPFR_RNDN);
        mpfr_sqr(r15944, r15928, MPFR_RNDN);
        mpfr_mul(r15945, r15919, r15944, MPFR_RNDN);
        mpfr_mul(r15946, r15945, r15932, MPFR_RNDN);
        mpfr_sub(r15947, r15927, r15946, MPFR_RNDN);
        mpfr_sqrt(r15948, r15947, MPFR_RNDN);
        mpfr_mul(r15949, r15943, r15948, MPFR_RNDN);
        if (mpfr_get_si(r15939, MPFR_RNDN)) { mpfr_set(r15950, r15942, MPFR_RNDN); } else { mpfr_set(r15950, r15949, MPFR_RNDN); };
        if (mpfr_get_si(r15917, MPFR_RNDN)) { mpfr_set(r15951, r15937, MPFR_RNDN); } else { mpfr_set(r15951, r15950, MPFR_RNDN); };
        return mpfr_get_d(r15951, MPFR_RNDN);
}

static mpfr_t 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(r15952);
        mpfr_init_set_str(r15953, "-8.097405444153384e-198", 10, MPFR_RNDN);
        mpfr_init(r15954);
        mpfr_init_set_str(r15955, "2", 10, MPFR_RNDN);
        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(r15969);
        mpfr_init(r15970);
        mpfr_init(r15971);
        mpfr_init(r15972);
        mpfr_init(r15973);
        mpfr_init(r15974);
        mpfr_init_set_str(r15975, "-8.462925704692662e-291", 10, MPFR_RNDN);
        mpfr_init(r15976);
        mpfr_init(r15977);
        mpfr_init(r15978);
        mpfr_init(r15979);
        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(r15952, t, MPFR_RNDN);
        ;
        mpfr_set_si(r15954, mpfr_cmp(r15952, r15953) <= 0, MPFR_RNDN);
        ;
        mpfr_set_d(r15956, n, MPFR_RNDN);
        mpfr_mul(r15957, r15955, r15956, MPFR_RNDN);
        mpfr_set_d(r15958, U, MPFR_RNDN);
        mpfr_set_d(r15959, l, MPFR_RNDN);
        mpfr_set_d(r15960, Om, MPFR_RNDN);
        mpfr_div(r15961, r15960, r15959, MPFR_RNDN);
        mpfr_div(r15962, r15959, r15961, MPFR_RNDN);
        mpfr_mul(r15963, r15955, r15962, MPFR_RNDN);
        mpfr_sub(r15964, r15952, r15963, MPFR_RNDN);
        mpfr_div(r15965, r15959, r15960, MPFR_RNDN);
        mpfr_mul(r15966, r15956, r15965, MPFR_RNDN);
        mpfr_mul(r15967, r15966, r15965, MPFR_RNDN);
        mpfr_set_d(r15968, U_, MPFR_RNDN);
        mpfr_sub(r15969, r15958, r15968, MPFR_RNDN);
        mpfr_mul(r15970, r15967, r15969, MPFR_RNDN);
        mpfr_sub(r15971, r15964, r15970, MPFR_RNDN);
        mpfr_mul(r15972, r15958, r15971, MPFR_RNDN);
        mpfr_mul(r15973, r15957, r15972, MPFR_RNDN);
        mpfr_sqrt(r15974, r15973, MPFR_RNDN);
        ;
        mpfr_set_si(r15976, mpfr_cmp(r15952, r15975) <= 0, MPFR_RNDN);
        mpfr_mul(r15977, r15957, r15958, MPFR_RNDN);
        mpfr_mul(r15978, r15977, r15971, MPFR_RNDN);
        mpfr_sqrt(r15979, r15978, MPFR_RNDN);
        mpfr_sqrt(r15980, r15977, MPFR_RNDN);
        mpfr_sqr(r15981, r15965, MPFR_RNDN);
        mpfr_mul(r15982, r15956, r15981, MPFR_RNDN);
        mpfr_mul(r15983, r15982, r15969, MPFR_RNDN);
        mpfr_sub(r15984, r15964, r15983, MPFR_RNDN);
        mpfr_sqrt(r15985, r15984, MPFR_RNDN);
        mpfr_mul(r15986, r15980, r15985, MPFR_RNDN);
        if (mpfr_get_si(r15976, MPFR_RNDN)) { mpfr_set(r15987, r15979, MPFR_RNDN); } else { mpfr_set(r15987, r15986, MPFR_RNDN); };
        if (mpfr_get_si(r15954, MPFR_RNDN)) { mpfr_set(r15988, r15974, MPFR_RNDN); } else { mpfr_set(r15988, r15987, MPFR_RNDN); };
        return mpfr_get_d(r15988, MPFR_RNDN);
}

