#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 r15754 = 2.0f;
        float r15755 = n;
        float r15756 = r15754 * r15755;
        float r15757 = U;
        float r15758 = r15756 * r15757;
        float r15759 = t;
        float r15760 = l;
        float r15761 = r15760 * r15760;
        float r15762 = Om;
        float r15763 = r15761 / r15762;
        float r15764 = r15754 * r15763;
        float r15765 = r15759 - r15764;
        float r15766 = r15760 / r15762;
        float r15767 = r15766 * r15766;
        float r15768 = r15755 * r15767;
        float r15769 = U_;
        float r15770 = r15757 - r15769;
        float r15771 = r15768 * r15770;
        float r15772 = r15765 - r15771;
        float r15773 = r15758 * r15772;
        float r15774 = sqrt(r15773);
        return r15774;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r15775 = 2.0;
        double r15776 = n;
        double r15777 = r15775 * r15776;
        double r15778 = U;
        double r15779 = r15777 * r15778;
        double r15780 = t;
        double r15781 = l;
        double r15782 = r15781 * r15781;
        double r15783 = Om;
        double r15784 = r15782 / r15783;
        double r15785 = r15775 * r15784;
        double r15786 = r15780 - r15785;
        double r15787 = r15781 / r15783;
        double r15788 = r15787 * r15787;
        double r15789 = r15776 * r15788;
        double r15790 = U_;
        double r15791 = r15778 - r15790;
        double r15792 = r15789 * r15791;
        double r15793 = r15786 - r15792;
        double r15794 = r15779 * r15793;
        double r15795 = sqrt(r15794);
        return r15795;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r15796 = n;
        float r15797 = 4.3250250802722524e+66f;
        bool r15798 = r15796 <= r15797;
        float r15799 = 2.0f;
        float r15800 = r15799 * r15796;
        float r15801 = t;
        float r15802 = U;
        float r15803 = r15801 * r15802;
        float r15804 = l;
        float r15805 = Om;
        float r15806 = r15804 / r15805;
        float r15807 = r15802 * r15806;
        float r15808 = -r15799;
        float r15809 = U_;
        float r15810 = r15802 - r15809;
        float r15811 = r15796 / r15805;
        float r15812 = r15810 * r15811;
        float r15813 = r15808 - r15812;
        float r15814 = r15804 * r15813;
        float r15815 = r15807 * r15814;
        float r15816 = r15803 + r15815;
        float r15817 = r15800 * r15816;
        float r15818 = sqrt(r15817);
        float r15819 = sqrt(r15800);
        float r15820 = r15805 / r15804;
        float r15821 = r15804 / r15820;
        float r15822 = r15799 * r15821;
        float r15823 = r15801 - r15822;
        float r15824 = r15806 * r15806;
        float r15825 = r15796 * r15824;
        float r15826 = r15825 * r15810;
        float r15827 = r15823 - r15826;
        float r15828 = r15802 * r15827;
        float r15829 = sqrt(r15828);
        float r15830 = r15819 * r15829;
        float r15831 = r15798 ? r15818 : r15830;
        return r15831;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r15832 = n;
        double r15833 = 4.3250250802722524e+66;
        bool r15834 = r15832 <= r15833;
        double r15835 = 2.0;
        double r15836 = r15835 * r15832;
        double r15837 = t;
        double r15838 = U;
        double r15839 = r15837 * r15838;
        double r15840 = l;
        double r15841 = Om;
        double r15842 = r15840 / r15841;
        double r15843 = r15838 * r15842;
        double r15844 = -r15835;
        double r15845 = U_;
        double r15846 = r15838 - r15845;
        double r15847 = r15832 / r15841;
        double r15848 = r15846 * r15847;
        double r15849 = r15844 - r15848;
        double r15850 = r15840 * r15849;
        double r15851 = r15843 * r15850;
        double r15852 = r15839 + r15851;
        double r15853 = r15836 * r15852;
        double r15854 = sqrt(r15853);
        double r15855 = sqrt(r15836);
        double r15856 = r15841 / r15840;
        double r15857 = r15840 / r15856;
        double r15858 = r15835 * r15857;
        double r15859 = r15837 - r15858;
        double r15860 = r15842 * r15842;
        double r15861 = r15832 * r15860;
        double r15862 = r15861 * r15846;
        double r15863 = r15859 - r15862;
        double r15864 = r15838 * r15863;
        double r15865 = sqrt(r15864);
        double r15866 = r15855 * r15865;
        double r15867 = r15834 ? r15854 : r15866;
        return r15867;
}

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 r15868, r15869, r15870, r15871, r15872, r15873, r15874, r15875, r15876, r15877, r15878, r15879, r15880, r15881, r15882, r15883, r15884, r15885, r15886, r15887, r15888;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15868, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r15887);
        mpfr_init(r15888);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15869, n, MPFR_RNDN);
        mpfr_mul(r15870, r15868, r15869, MPFR_RNDN);
        mpfr_set_d(r15871, U, MPFR_RNDN);
        mpfr_mul(r15872, r15870, r15871, MPFR_RNDN);
        mpfr_set_d(r15873, t, MPFR_RNDN);
        mpfr_set_d(r15874, l, MPFR_RNDN);
        mpfr_sqr(r15875, r15874, MPFR_RNDN);
        mpfr_set_d(r15876, Om, MPFR_RNDN);
        mpfr_div(r15877, r15875, r15876, MPFR_RNDN);
        mpfr_mul(r15878, r15868, r15877, MPFR_RNDN);
        mpfr_sub(r15879, r15873, r15878, MPFR_RNDN);
        mpfr_div(r15880, r15874, r15876, MPFR_RNDN);
        mpfr_sqr(r15881, r15880, MPFR_RNDN);
        mpfr_mul(r15882, r15869, r15881, MPFR_RNDN);
        mpfr_set_d(r15883, U_, MPFR_RNDN);
        mpfr_sub(r15884, r15871, r15883, MPFR_RNDN);
        mpfr_mul(r15885, r15882, r15884, MPFR_RNDN);
        mpfr_sub(r15886, r15879, r15885, MPFR_RNDN);
        mpfr_mul(r15887, r15872, r15886, MPFR_RNDN);
        mpfr_sqrt(r15888, r15887, MPFR_RNDN);
        return mpfr_get_d(r15888, MPFR_RNDN);
}

static mpfr_t r15889, r15890, r15891, r15892, r15893, r15894, r15895, r15896, 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;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15889);
        mpfr_init_set_str(r15890, "4.3250250802722524e+66", 10, MPFR_RNDN);
        mpfr_init(r15891);
        mpfr_init_set_str(r15892, "2", 10, MPFR_RNDN);
        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);
        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(r15920);
        mpfr_init(r15921);
        mpfr_init(r15922);
        mpfr_init(r15923);
        mpfr_init(r15924);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r15889, n, MPFR_RNDN);
        ;
        mpfr_set_si(r15891, mpfr_cmp(r15889, r15890) <= 0, MPFR_RNDN);
        ;
        mpfr_mul(r15893, r15892, r15889, MPFR_RNDN);
        mpfr_set_d(r15894, t, MPFR_RNDN);
        mpfr_set_d(r15895, U, MPFR_RNDN);
        mpfr_mul(r15896, r15894, r15895, MPFR_RNDN);
        mpfr_set_d(r15897, l, MPFR_RNDN);
        mpfr_set_d(r15898, Om, MPFR_RNDN);
        mpfr_div(r15899, r15897, r15898, MPFR_RNDN);
        mpfr_mul(r15900, r15895, r15899, MPFR_RNDN);
        mpfr_neg(r15901, r15892, MPFR_RNDN);
        mpfr_set_d(r15902, U_, MPFR_RNDN);
        mpfr_sub(r15903, r15895, r15902, MPFR_RNDN);
        mpfr_div(r15904, r15889, r15898, MPFR_RNDN);
        mpfr_mul(r15905, r15903, r15904, MPFR_RNDN);
        mpfr_sub(r15906, r15901, r15905, MPFR_RNDN);
        mpfr_mul(r15907, r15897, r15906, MPFR_RNDN);
        mpfr_mul(r15908, r15900, r15907, MPFR_RNDN);
        mpfr_add(r15909, r15896, r15908, MPFR_RNDN);
        mpfr_mul(r15910, r15893, r15909, MPFR_RNDN);
        mpfr_sqrt(r15911, r15910, MPFR_RNDN);
        mpfr_sqrt(r15912, r15893, MPFR_RNDN);
        mpfr_div(r15913, r15898, r15897, MPFR_RNDN);
        mpfr_div(r15914, r15897, r15913, MPFR_RNDN);
        mpfr_mul(r15915, r15892, r15914, MPFR_RNDN);
        mpfr_sub(r15916, r15894, r15915, MPFR_RNDN);
        mpfr_sqr(r15917, r15899, MPFR_RNDN);
        mpfr_mul(r15918, r15889, r15917, MPFR_RNDN);
        mpfr_mul(r15919, r15918, r15903, MPFR_RNDN);
        mpfr_sub(r15920, r15916, r15919, MPFR_RNDN);
        mpfr_mul(r15921, r15895, r15920, MPFR_RNDN);
        mpfr_sqrt(r15922, r15921, MPFR_RNDN);
        mpfr_mul(r15923, r15912, r15922, MPFR_RNDN);
        if (mpfr_get_si(r15891, MPFR_RNDN)) { mpfr_set(r15924, r15911, MPFR_RNDN); } else { mpfr_set(r15924, r15923, MPFR_RNDN); };
        return mpfr_get_d(r15924, MPFR_RNDN);
}

static mpfr_t 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, r15952, r15953, r15954, r15955, r15956, r15957, r15958, r15959, r15960;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15925);
        mpfr_init_set_str(r15926, "4.3250250802722524e+66", 10, MPFR_RNDN);
        mpfr_init(r15927);
        mpfr_init_set_str(r15928, "2", 10, MPFR_RNDN);
        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(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(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);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r15925, n, MPFR_RNDN);
        ;
        mpfr_set_si(r15927, mpfr_cmp(r15925, r15926) <= 0, MPFR_RNDN);
        ;
        mpfr_mul(r15929, r15928, r15925, MPFR_RNDN);
        mpfr_set_d(r15930, t, MPFR_RNDN);
        mpfr_set_d(r15931, U, MPFR_RNDN);
        mpfr_mul(r15932, r15930, r15931, MPFR_RNDN);
        mpfr_set_d(r15933, l, MPFR_RNDN);
        mpfr_set_d(r15934, Om, MPFR_RNDN);
        mpfr_div(r15935, r15933, r15934, MPFR_RNDN);
        mpfr_mul(r15936, r15931, r15935, MPFR_RNDN);
        mpfr_neg(r15937, r15928, MPFR_RNDN);
        mpfr_set_d(r15938, U_, MPFR_RNDN);
        mpfr_sub(r15939, r15931, r15938, MPFR_RNDN);
        mpfr_div(r15940, r15925, r15934, MPFR_RNDN);
        mpfr_mul(r15941, r15939, r15940, MPFR_RNDN);
        mpfr_sub(r15942, r15937, r15941, MPFR_RNDN);
        mpfr_mul(r15943, r15933, r15942, MPFR_RNDN);
        mpfr_mul(r15944, r15936, r15943, MPFR_RNDN);
        mpfr_add(r15945, r15932, r15944, MPFR_RNDN);
        mpfr_mul(r15946, r15929, r15945, MPFR_RNDN);
        mpfr_sqrt(r15947, r15946, MPFR_RNDN);
        mpfr_sqrt(r15948, r15929, MPFR_RNDN);
        mpfr_div(r15949, r15934, r15933, MPFR_RNDN);
        mpfr_div(r15950, r15933, r15949, MPFR_RNDN);
        mpfr_mul(r15951, r15928, r15950, MPFR_RNDN);
        mpfr_sub(r15952, r15930, r15951, MPFR_RNDN);
        mpfr_sqr(r15953, r15935, MPFR_RNDN);
        mpfr_mul(r15954, r15925, r15953, MPFR_RNDN);
        mpfr_mul(r15955, r15954, r15939, MPFR_RNDN);
        mpfr_sub(r15956, r15952, r15955, MPFR_RNDN);
        mpfr_mul(r15957, r15931, r15956, MPFR_RNDN);
        mpfr_sqrt(r15958, r15957, MPFR_RNDN);
        mpfr_mul(r15959, r15948, r15958, MPFR_RNDN);
        if (mpfr_get_si(r15927, MPFR_RNDN)) { mpfr_set(r15960, r15947, MPFR_RNDN); } else { mpfr_set(r15960, r15959, MPFR_RNDN); };
        return mpfr_get_d(r15960, MPFR_RNDN);
}

