#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 r15714 = 2.0f;
        float r15715 = n;
        float r15716 = r15714 * r15715;
        float r15717 = U;
        float r15718 = r15716 * r15717;
        float r15719 = t;
        float r15720 = l;
        float r15721 = r15720 * r15720;
        float r15722 = Om;
        float r15723 = r15721 / r15722;
        float r15724 = r15714 * r15723;
        float r15725 = r15719 - r15724;
        float r15726 = r15720 / r15722;
        float r15727 = r15726 * r15726;
        float r15728 = r15715 * r15727;
        float r15729 = U_;
        float r15730 = r15717 - r15729;
        float r15731 = r15728 * r15730;
        float r15732 = r15725 - r15731;
        float r15733 = r15718 * r15732;
        float r15734 = sqrt(r15733);
        return r15734;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r15735 = 2.0;
        double r15736 = n;
        double r15737 = r15735 * r15736;
        double r15738 = U;
        double r15739 = r15737 * r15738;
        double r15740 = t;
        double r15741 = l;
        double r15742 = r15741 * r15741;
        double r15743 = Om;
        double r15744 = r15742 / r15743;
        double r15745 = r15735 * r15744;
        double r15746 = r15740 - r15745;
        double r15747 = r15741 / r15743;
        double r15748 = r15747 * r15747;
        double r15749 = r15736 * r15748;
        double r15750 = U_;
        double r15751 = r15738 - r15750;
        double r15752 = r15749 * r15751;
        double r15753 = r15746 - r15752;
        double r15754 = r15739 * r15753;
        double r15755 = sqrt(r15754);
        return r15755;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r15756 = 2.0f;
        float r15757 = n;
        float r15758 = r15756 * r15757;
        float r15759 = U;
        float r15760 = r15758 * r15759;
        float r15761 = t;
        float r15762 = l;
        float r15763 = r15762 * r15762;
        float r15764 = Om;
        float r15765 = r15763 / r15764;
        float r15766 = r15756 * r15765;
        float r15767 = r15761 - r15766;
        float r15768 = r15762 / r15764;
        float r15769 = r15768 * r15768;
        float r15770 = r15757 * r15769;
        float r15771 = U_;
        float r15772 = r15759 - r15771;
        float r15773 = r15770 * r15772;
        float r15774 = r15767 - r15773;
        float r15775 = r15760 * r15774;
        float r15776 = 1.3584272373634576e-08f;
        bool r15777 = r15775 <= r15776;
        float r15778 = r15764 / r15762;
        float r15779 = r15762 / r15778;
        float r15780 = r15756 * r15779;
        float r15781 = r15761 - r15780;
        float r15782 = r15781 - r15773;
        float r15783 = r15759 * r15782;
        float r15784 = r15758 * r15783;
        float r15785 = sqrt(r15784);
        float r15786 = +inf.0f;
        bool r15787 = r15775 <= r15786;
        float r15788 = r15757 * r15768;
        float r15789 = r15788 * r15768;
        float r15790 = r15789 * r15772;
        float r15791 = r15781 - r15790;
        float r15792 = r15760 * r15791;
        float r15793 = sqrt(r15792);
        float r15794 = r15761 * r15756;
        float r15795 = r15757 * r15759;
        float r15796 = r15794 * r15795;
        float r15797 = r15762 * r15759;
        float r15798 = r15797 / r15778;
        float r15799 = r15771 - r15759;
        float r15800 = r15798 * r15799;
        float r15801 = r15756 / r15764;
        float r15802 = r15757 * r15757;
        float r15803 = r15801 * r15802;
        float r15804 = r15800 * r15803;
        float r15805 = r15796 + r15804;
        float r15806 = sqrt(r15805);
        float r15807 = r15787 ? r15793 : r15806;
        float r15808 = r15777 ? r15785 : r15807;
        return r15808;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r15809 = 2.0;
        double r15810 = n;
        double r15811 = r15809 * r15810;
        double r15812 = U;
        double r15813 = r15811 * r15812;
        double r15814 = t;
        double r15815 = l;
        double r15816 = r15815 * r15815;
        double r15817 = Om;
        double r15818 = r15816 / r15817;
        double r15819 = r15809 * r15818;
        double r15820 = r15814 - r15819;
        double r15821 = r15815 / r15817;
        double r15822 = r15821 * r15821;
        double r15823 = r15810 * r15822;
        double r15824 = U_;
        double r15825 = r15812 - r15824;
        double r15826 = r15823 * r15825;
        double r15827 = r15820 - r15826;
        double r15828 = r15813 * r15827;
        double r15829 = 1.3584272373634576e-08;
        bool r15830 = r15828 <= r15829;
        double r15831 = r15817 / r15815;
        double r15832 = r15815 / r15831;
        double r15833 = r15809 * r15832;
        double r15834 = r15814 - r15833;
        double r15835 = r15834 - r15826;
        double r15836 = r15812 * r15835;
        double r15837 = r15811 * r15836;
        double r15838 = sqrt(r15837);
        double r15839 = +inf.0;
        bool r15840 = r15828 <= r15839;
        double r15841 = r15810 * r15821;
        double r15842 = r15841 * r15821;
        double r15843 = r15842 * r15825;
        double r15844 = r15834 - r15843;
        double r15845 = r15813 * r15844;
        double r15846 = sqrt(r15845);
        double r15847 = r15814 * r15809;
        double r15848 = r15810 * r15812;
        double r15849 = r15847 * r15848;
        double r15850 = r15815 * r15812;
        double r15851 = r15850 / r15831;
        double r15852 = r15824 - r15812;
        double r15853 = r15851 * r15852;
        double r15854 = r15809 / r15817;
        double r15855 = r15810 * r15810;
        double r15856 = r15854 * r15855;
        double r15857 = r15853 * r15856;
        double r15858 = r15849 + r15857;
        double r15859 = sqrt(r15858);
        double r15860 = r15840 ? r15846 : r15859;
        double r15861 = r15830 ? r15838 : 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, r15906, r15907, r15908, 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;

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(r15897);
        mpfr_init(r15898);
        mpfr_init(r15899);
        mpfr_init(r15900);
        mpfr_init(r15901);
        mpfr_init(r15902);
        mpfr_init_set_str(r15903, "1.3584272f-08", 10, MPFR_RNDN);
        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_set_str(r15913, "+inf.f", 10, MPFR_RNDN);
        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(r15929);
        mpfr_init(r15930);
        mpfr_init(r15931);
        mpfr_init(r15932);
        mpfr_init(r15933);
        mpfr_init(r15934);
        mpfr_init(r15935);
}

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_mul(r15887, r15885, r15886, MPFR_RNDN);
        mpfr_set_d(r15888, t, MPFR_RNDN);
        mpfr_set_d(r15889, l, MPFR_RNDN);
        mpfr_sqr(r15890, r15889, MPFR_RNDN);
        mpfr_set_d(r15891, Om, MPFR_RNDN);
        mpfr_div(r15892, r15890, r15891, MPFR_RNDN);
        mpfr_mul(r15893, r15883, r15892, MPFR_RNDN);
        mpfr_sub(r15894, r15888, r15893, MPFR_RNDN);
        mpfr_div(r15895, r15889, r15891, MPFR_RNDN);
        mpfr_sqr(r15896, r15895, MPFR_RNDN);
        mpfr_mul(r15897, r15884, r15896, MPFR_RNDN);
        mpfr_set_d(r15898, U_, MPFR_RNDN);
        mpfr_sub(r15899, r15886, r15898, MPFR_RNDN);
        mpfr_mul(r15900, r15897, r15899, MPFR_RNDN);
        mpfr_sub(r15901, r15894, r15900, MPFR_RNDN);
        mpfr_mul(r15902, r15887, r15901, MPFR_RNDN);
        ;
        mpfr_set_si(r15904, mpfr_cmp(r15902, r15903) <= 0, MPFR_RNDN);
        mpfr_div(r15905, r15891, r15889, MPFR_RNDN);
        mpfr_div(r15906, r15889, r15905, MPFR_RNDN);
        mpfr_mul(r15907, r15883, r15906, MPFR_RNDN);
        mpfr_sub(r15908, r15888, r15907, MPFR_RNDN);
        mpfr_sub(r15909, r15908, r15900, MPFR_RNDN);
        mpfr_mul(r15910, r15886, r15909, MPFR_RNDN);
        mpfr_mul(r15911, r15885, r15910, MPFR_RNDN);
        mpfr_sqrt(r15912, r15911, MPFR_RNDN);
        ;
        mpfr_set_si(r15914, mpfr_cmp(r15902, r15913) <= 0, MPFR_RNDN);
        mpfr_mul(r15915, r15884, r15895, MPFR_RNDN);
        mpfr_mul(r15916, r15915, r15895, MPFR_RNDN);
        mpfr_mul(r15917, r15916, r15899, MPFR_RNDN);
        mpfr_sub(r15918, r15908, r15917, MPFR_RNDN);
        mpfr_mul(r15919, r15887, r15918, MPFR_RNDN);
        mpfr_sqrt(r15920, r15919, MPFR_RNDN);
        mpfr_mul(r15921, r15888, r15883, MPFR_RNDN);
        mpfr_mul(r15922, r15884, r15886, MPFR_RNDN);
        mpfr_mul(r15923, r15921, r15922, MPFR_RNDN);
        mpfr_mul(r15924, r15889, r15886, MPFR_RNDN);
        mpfr_div(r15925, r15924, r15905, MPFR_RNDN);
        mpfr_sub(r15926, r15898, r15886, MPFR_RNDN);
        mpfr_mul(r15927, r15925, r15926, MPFR_RNDN);
        mpfr_div(r15928, r15883, r15891, MPFR_RNDN);
        mpfr_sqr(r15929, r15884, MPFR_RNDN);
        mpfr_mul(r15930, r15928, r15929, MPFR_RNDN);
        mpfr_mul(r15931, r15927, r15930, MPFR_RNDN);
        mpfr_add(r15932, r15923, r15931, MPFR_RNDN);
        mpfr_sqrt(r15933, r15932, MPFR_RNDN);
        if (mpfr_get_si(r15914, MPFR_RNDN)) { mpfr_set(r15934, r15920, MPFR_RNDN); } else { mpfr_set(r15934, r15933, MPFR_RNDN); };
        if (mpfr_get_si(r15904, MPFR_RNDN)) { mpfr_set(r15935, r15912, MPFR_RNDN); } else { mpfr_set(r15935, r15934, MPFR_RNDN); };
        return mpfr_get_d(r15935, MPFR_RNDN);
}

static mpfr_t 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, 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(r15936, "2", 10, MPFR_RNDN);
        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_set_str(r15956, "1.3584272f-08", 10, MPFR_RNDN);
        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_set_str(r15966, "+inf.f", 10, MPFR_RNDN);
        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(r15975);
        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(r15937, n, MPFR_RNDN);
        mpfr_mul(r15938, r15936, r15937, MPFR_RNDN);
        mpfr_set_d(r15939, U, MPFR_RNDN);
        mpfr_mul(r15940, r15938, r15939, MPFR_RNDN);
        mpfr_set_d(r15941, t, MPFR_RNDN);
        mpfr_set_d(r15942, l, MPFR_RNDN);
        mpfr_sqr(r15943, r15942, MPFR_RNDN);
        mpfr_set_d(r15944, Om, MPFR_RNDN);
        mpfr_div(r15945, r15943, r15944, MPFR_RNDN);
        mpfr_mul(r15946, r15936, r15945, MPFR_RNDN);
        mpfr_sub(r15947, r15941, r15946, MPFR_RNDN);
        mpfr_div(r15948, r15942, r15944, MPFR_RNDN);
        mpfr_sqr(r15949, r15948, MPFR_RNDN);
        mpfr_mul(r15950, r15937, r15949, MPFR_RNDN);
        mpfr_set_d(r15951, U_, MPFR_RNDN);
        mpfr_sub(r15952, r15939, r15951, MPFR_RNDN);
        mpfr_mul(r15953, r15950, r15952, MPFR_RNDN);
        mpfr_sub(r15954, r15947, r15953, MPFR_RNDN);
        mpfr_mul(r15955, r15940, r15954, MPFR_RNDN);
        ;
        mpfr_set_si(r15957, mpfr_cmp(r15955, r15956) <= 0, MPFR_RNDN);
        mpfr_div(r15958, r15944, r15942, MPFR_RNDN);
        mpfr_div(r15959, r15942, r15958, MPFR_RNDN);
        mpfr_mul(r15960, r15936, r15959, MPFR_RNDN);
        mpfr_sub(r15961, r15941, r15960, MPFR_RNDN);
        mpfr_sub(r15962, r15961, r15953, MPFR_RNDN);
        mpfr_mul(r15963, r15939, r15962, MPFR_RNDN);
        mpfr_mul(r15964, r15938, r15963, MPFR_RNDN);
        mpfr_sqrt(r15965, r15964, MPFR_RNDN);
        ;
        mpfr_set_si(r15967, mpfr_cmp(r15955, r15966) <= 0, MPFR_RNDN);
        mpfr_mul(r15968, r15937, r15948, MPFR_RNDN);
        mpfr_mul(r15969, r15968, r15948, MPFR_RNDN);
        mpfr_mul(r15970, r15969, r15952, MPFR_RNDN);
        mpfr_sub(r15971, r15961, r15970, MPFR_RNDN);
        mpfr_mul(r15972, r15940, r15971, MPFR_RNDN);
        mpfr_sqrt(r15973, r15972, MPFR_RNDN);
        mpfr_mul(r15974, r15941, r15936, MPFR_RNDN);
        mpfr_mul(r15975, r15937, r15939, MPFR_RNDN);
        mpfr_mul(r15976, r15974, r15975, MPFR_RNDN);
        mpfr_mul(r15977, r15942, r15939, MPFR_RNDN);
        mpfr_div(r15978, r15977, r15958, MPFR_RNDN);
        mpfr_sub(r15979, r15951, r15939, MPFR_RNDN);
        mpfr_mul(r15980, r15978, r15979, MPFR_RNDN);
        mpfr_div(r15981, r15936, r15944, MPFR_RNDN);
        mpfr_sqr(r15982, r15937, MPFR_RNDN);
        mpfr_mul(r15983, r15981, r15982, MPFR_RNDN);
        mpfr_mul(r15984, r15980, r15983, MPFR_RNDN);
        mpfr_add(r15985, r15976, r15984, MPFR_RNDN);
        mpfr_sqrt(r15986, r15985, MPFR_RNDN);
        if (mpfr_get_si(r15967, MPFR_RNDN)) { mpfr_set(r15987, r15973, MPFR_RNDN); } else { mpfr_set(r15987, r15986, MPFR_RNDN); };
        if (mpfr_get_si(r15957, MPFR_RNDN)) { mpfr_set(r15988, r15965, MPFR_RNDN); } else { mpfr_set(r15988, r15987, MPFR_RNDN); };
        return mpfr_get_d(r15988, MPFR_RNDN);
}