#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 r15674 = 2.0f;
        float r15675 = n;
        float r15676 = r15674 * r15675;
        float r15677 = U;
        float r15678 = r15676 * r15677;
        float r15679 = t;
        float r15680 = l;
        float r15681 = r15680 * r15680;
        float r15682 = Om;
        float r15683 = r15681 / r15682;
        float r15684 = r15674 * r15683;
        float r15685 = r15679 - r15684;
        float r15686 = r15680 / r15682;
        float r15687 = r15686 * r15686;
        float r15688 = r15675 * r15687;
        float r15689 = U_;
        float r15690 = r15677 - r15689;
        float r15691 = r15688 * r15690;
        float r15692 = r15685 - r15691;
        float r15693 = r15678 * r15692;
        float r15694 = sqrt(r15693);
        return r15694;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r15695 = 2.0;
        double r15696 = n;
        double r15697 = r15695 * r15696;
        double r15698 = U;
        double r15699 = r15697 * r15698;
        double r15700 = t;
        double r15701 = l;
        double r15702 = r15701 * r15701;
        double r15703 = Om;
        double r15704 = r15702 / r15703;
        double r15705 = r15695 * r15704;
        double r15706 = r15700 - r15705;
        double r15707 = r15701 / r15703;
        double r15708 = r15707 * r15707;
        double r15709 = r15696 * r15708;
        double r15710 = U_;
        double r15711 = r15698 - r15710;
        double r15712 = r15709 * r15711;
        double r15713 = r15706 - r15712;
        double r15714 = r15699 * r15713;
        double r15715 = sqrt(r15714);
        return r15715;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r15716 = 2.0f;
        float r15717 = n;
        float r15718 = r15716 * r15717;
        float r15719 = U;
        float r15720 = r15718 * r15719;
        float r15721 = t;
        float r15722 = l;
        float r15723 = r15722 * r15722;
        float r15724 = Om;
        float r15725 = r15723 / r15724;
        float r15726 = r15716 * r15725;
        float r15727 = r15721 - r15726;
        float r15728 = r15722 / r15724;
        float r15729 = r15728 * r15728;
        float r15730 = r15717 * r15729;
        float r15731 = U_;
        float r15732 = r15719 - r15731;
        float r15733 = r15730 * r15732;
        float r15734 = r15727 - r15733;
        float r15735 = r15720 * r15734;
        float r15736 = 0.004204896744340658f;
        bool r15737 = r15735 <= r15736;
        float r15738 = r15724 / r15722;
        float r15739 = r15722 / r15738;
        float r15740 = r15716 * r15739;
        float r15741 = r15721 - r15740;
        float r15742 = r15741 - r15733;
        float r15743 = r15719 * r15742;
        float r15744 = r15718 * r15743;
        float r15745 = sqrt(r15744);
        float r15746 = +inf.0f;
        bool r15747 = r15735 <= r15746;
        float r15748 = r15717 * r15728;
        float r15749 = r15748 * r15728;
        float r15750 = r15749 * r15732;
        float r15751 = r15741 - r15750;
        float r15752 = r15720 * r15751;
        float r15753 = sqrt(r15752);
        float r15754 = r15721 * r15716;
        float r15755 = r15717 * r15719;
        float r15756 = r15754 * r15755;
        float r15757 = r15722 * r15719;
        float r15758 = r15757 / r15738;
        float r15759 = r15731 - r15719;
        float r15760 = r15758 * r15759;
        float r15761 = r15716 / r15724;
        float r15762 = r15717 * r15717;
        float r15763 = r15761 * r15762;
        float r15764 = r15760 * r15763;
        float r15765 = r15756 + r15764;
        float r15766 = sqrt(r15765);
        float r15767 = r15747 ? r15753 : r15766;
        float r15768 = r15737 ? r15745 : r15767;
        return r15768;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r15769 = 2.0;
        double r15770 = n;
        double r15771 = r15769 * r15770;
        double r15772 = U;
        double r15773 = r15771 * r15772;
        double r15774 = t;
        double r15775 = l;
        double r15776 = r15775 * r15775;
        double r15777 = Om;
        double r15778 = r15776 / r15777;
        double r15779 = r15769 * r15778;
        double r15780 = r15774 - r15779;
        double r15781 = r15775 / r15777;
        double r15782 = r15781 * r15781;
        double r15783 = r15770 * r15782;
        double r15784 = U_;
        double r15785 = r15772 - r15784;
        double r15786 = r15783 * r15785;
        double r15787 = r15780 - r15786;
        double r15788 = r15773 * r15787;
        double r15789 = 0.004204896744340658;
        bool r15790 = r15788 <= r15789;
        double r15791 = r15777 / r15775;
        double r15792 = r15775 / r15791;
        double r15793 = r15769 * r15792;
        double r15794 = r15774 - r15793;
        double r15795 = r15794 - r15786;
        double r15796 = r15772 * r15795;
        double r15797 = r15771 * r15796;
        double r15798 = sqrt(r15797);
        double r15799 = +inf.0;
        bool r15800 = r15788 <= r15799;
        double r15801 = r15770 * r15781;
        double r15802 = r15801 * r15781;
        double r15803 = r15802 * r15785;
        double r15804 = r15794 - r15803;
        double r15805 = r15773 * r15804;
        double r15806 = sqrt(r15805);
        double r15807 = r15774 * r15769;
        double r15808 = r15770 * r15772;
        double r15809 = r15807 * r15808;
        double r15810 = r15775 * r15772;
        double r15811 = r15810 / r15791;
        double r15812 = r15784 - r15772;
        double r15813 = r15811 * r15812;
        double r15814 = r15769 / r15777;
        double r15815 = r15770 * r15770;
        double r15816 = r15814 * r15815;
        double r15817 = r15813 * r15816;
        double r15818 = r15809 + r15817;
        double r15819 = sqrt(r15818);
        double r15820 = r15800 ? r15806 : r15819;
        double r15821 = r15790 ? r15798 : r15820;
        return r15821;
}

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 r15822, r15823, r15824, r15825, r15826, r15827, r15828, r15829, r15830, r15831, r15832, r15833, r15834, r15835, r15836, r15837, r15838, r15839, r15840, r15841, r15842;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15822, "2", 10, MPFR_RNDN);
        mpfr_init(r15823);
        mpfr_init(r15824);
        mpfr_init(r15825);
        mpfr_init(r15826);
        mpfr_init(r15827);
        mpfr_init(r15828);
        mpfr_init(r15829);
        mpfr_init(r15830);
        mpfr_init(r15831);
        mpfr_init(r15832);
        mpfr_init(r15833);
        mpfr_init(r15834);
        mpfr_init(r15835);
        mpfr_init(r15836);
        mpfr_init(r15837);
        mpfr_init(r15838);
        mpfr_init(r15839);
        mpfr_init(r15840);
        mpfr_init(r15841);
        mpfr_init(r15842);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15823, n, MPFR_RNDN);
        mpfr_mul(r15824, r15822, r15823, MPFR_RNDN);
        mpfr_set_d(r15825, U, MPFR_RNDN);
        mpfr_mul(r15826, r15824, r15825, MPFR_RNDN);
        mpfr_set_d(r15827, t, MPFR_RNDN);
        mpfr_set_d(r15828, l, MPFR_RNDN);
        mpfr_sqr(r15829, r15828, MPFR_RNDN);
        mpfr_set_d(r15830, Om, MPFR_RNDN);
        mpfr_div(r15831, r15829, r15830, MPFR_RNDN);
        mpfr_mul(r15832, r15822, r15831, MPFR_RNDN);
        mpfr_sub(r15833, r15827, r15832, MPFR_RNDN);
        mpfr_div(r15834, r15828, r15830, MPFR_RNDN);
        mpfr_sqr(r15835, r15834, MPFR_RNDN);
        mpfr_mul(r15836, r15823, r15835, MPFR_RNDN);
        mpfr_set_d(r15837, U_, MPFR_RNDN);
        mpfr_sub(r15838, r15825, r15837, MPFR_RNDN);
        mpfr_mul(r15839, r15836, r15838, MPFR_RNDN);
        mpfr_sub(r15840, r15833, r15839, MPFR_RNDN);
        mpfr_mul(r15841, r15826, r15840, MPFR_RNDN);
        mpfr_sqrt(r15842, r15841, MPFR_RNDN);
        return mpfr_get_d(r15842, MPFR_RNDN);
}

static mpfr_t r15843, r15844, r15845, r15846, r15847, r15848, r15849, r15850, r15851, r15852, r15853, r15854, r15855, r15856, r15857, r15858, r15859, r15860, r15861, r15862, r15863, r15864, r15865, r15866, r15867, r15868, r15869, r15870, r15871, r15872, r15873, r15874, r15875, r15876, r15877, r15878, r15879, r15880, r15881, r15882, r15883, r15884, r15885, r15886, r15887, r15888, r15889, r15890, r15891, r15892, r15893, r15894, r15895;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15843, "2", 10, MPFR_RNDN);
        mpfr_init(r15844);
        mpfr_init(r15845);
        mpfr_init(r15846);
        mpfr_init(r15847);
        mpfr_init(r15848);
        mpfr_init(r15849);
        mpfr_init(r15850);
        mpfr_init(r15851);
        mpfr_init(r15852);
        mpfr_init(r15853);
        mpfr_init(r15854);
        mpfr_init(r15855);
        mpfr_init(r15856);
        mpfr_init(r15857);
        mpfr_init(r15858);
        mpfr_init(r15859);
        mpfr_init(r15860);
        mpfr_init(r15861);
        mpfr_init(r15862);
        mpfr_init_set_str(r15863, "0.0042048967f0", 10, MPFR_RNDN);
        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_set_str(r15873, "+inf.f", 10, MPFR_RNDN);
        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);
        mpfr_init(r15889);
        mpfr_init(r15890);
        mpfr_init(r15891);
        mpfr_init(r15892);
        mpfr_init(r15893);
        mpfr_init(r15894);
        mpfr_init(r15895);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15844, n, MPFR_RNDN);
        mpfr_mul(r15845, r15843, r15844, MPFR_RNDN);
        mpfr_set_d(r15846, U, MPFR_RNDN);
        mpfr_mul(r15847, r15845, r15846, MPFR_RNDN);
        mpfr_set_d(r15848, t, MPFR_RNDN);
        mpfr_set_d(r15849, l, MPFR_RNDN);
        mpfr_sqr(r15850, r15849, MPFR_RNDN);
        mpfr_set_d(r15851, Om, MPFR_RNDN);
        mpfr_div(r15852, r15850, r15851, MPFR_RNDN);
        mpfr_mul(r15853, r15843, r15852, MPFR_RNDN);
        mpfr_sub(r15854, r15848, r15853, MPFR_RNDN);
        mpfr_div(r15855, r15849, r15851, MPFR_RNDN);
        mpfr_sqr(r15856, r15855, MPFR_RNDN);
        mpfr_mul(r15857, r15844, r15856, MPFR_RNDN);
        mpfr_set_d(r15858, U_, MPFR_RNDN);
        mpfr_sub(r15859, r15846, r15858, MPFR_RNDN);
        mpfr_mul(r15860, r15857, r15859, MPFR_RNDN);
        mpfr_sub(r15861, r15854, r15860, MPFR_RNDN);
        mpfr_mul(r15862, r15847, r15861, MPFR_RNDN);
        ;
        mpfr_set_si(r15864, mpfr_cmp(r15862, r15863) <= 0, MPFR_RNDN);
        mpfr_div(r15865, r15851, r15849, MPFR_RNDN);
        mpfr_div(r15866, r15849, r15865, MPFR_RNDN);
        mpfr_mul(r15867, r15843, r15866, MPFR_RNDN);
        mpfr_sub(r15868, r15848, r15867, MPFR_RNDN);
        mpfr_sub(r15869, r15868, r15860, MPFR_RNDN);
        mpfr_mul(r15870, r15846, r15869, MPFR_RNDN);
        mpfr_mul(r15871, r15845, r15870, MPFR_RNDN);
        mpfr_sqrt(r15872, r15871, MPFR_RNDN);
        ;
        mpfr_set_si(r15874, mpfr_cmp(r15862, r15873) <= 0, MPFR_RNDN);
        mpfr_mul(r15875, r15844, r15855, MPFR_RNDN);
        mpfr_mul(r15876, r15875, r15855, MPFR_RNDN);
        mpfr_mul(r15877, r15876, r15859, MPFR_RNDN);
        mpfr_sub(r15878, r15868, r15877, MPFR_RNDN);
        mpfr_mul(r15879, r15847, r15878, MPFR_RNDN);
        mpfr_sqrt(r15880, r15879, MPFR_RNDN);
        mpfr_mul(r15881, r15848, r15843, MPFR_RNDN);
        mpfr_mul(r15882, r15844, r15846, MPFR_RNDN);
        mpfr_mul(r15883, r15881, r15882, MPFR_RNDN);
        mpfr_mul(r15884, r15849, r15846, MPFR_RNDN);
        mpfr_div(r15885, r15884, r15865, MPFR_RNDN);
        mpfr_sub(r15886, r15858, r15846, MPFR_RNDN);
        mpfr_mul(r15887, r15885, r15886, MPFR_RNDN);
        mpfr_div(r15888, r15843, r15851, MPFR_RNDN);
        mpfr_sqr(r15889, r15844, MPFR_RNDN);
        mpfr_mul(r15890, r15888, r15889, MPFR_RNDN);
        mpfr_mul(r15891, r15887, r15890, MPFR_RNDN);
        mpfr_add(r15892, r15883, r15891, MPFR_RNDN);
        mpfr_sqrt(r15893, r15892, MPFR_RNDN);
        if (mpfr_get_si(r15874, MPFR_RNDN)) { mpfr_set(r15894, r15880, MPFR_RNDN); } else { mpfr_set(r15894, r15893, MPFR_RNDN); };
        if (mpfr_get_si(r15864, MPFR_RNDN)) { mpfr_set(r15895, r15872, MPFR_RNDN); } else { mpfr_set(r15895, r15894, MPFR_RNDN); };
        return mpfr_get_d(r15895, MPFR_RNDN);
}

static mpfr_t 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, r15936, r15937, r15938, r15939, r15940, r15941, r15942, r15943, r15944, r15945, r15946, r15947, r15948;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15896, "2", 10, MPFR_RNDN);
        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_set_str(r15916, "0.0042048967f0", 10, MPFR_RNDN);
        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_set_str(r15926, "+inf.f", 10, MPFR_RNDN);
        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(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);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15897, n, MPFR_RNDN);
        mpfr_mul(r15898, r15896, r15897, MPFR_RNDN);
        mpfr_set_d(r15899, U, MPFR_RNDN);
        mpfr_mul(r15900, r15898, r15899, MPFR_RNDN);
        mpfr_set_d(r15901, t, MPFR_RNDN);
        mpfr_set_d(r15902, l, MPFR_RNDN);
        mpfr_sqr(r15903, r15902, MPFR_RNDN);
        mpfr_set_d(r15904, Om, MPFR_RNDN);
        mpfr_div(r15905, r15903, r15904, MPFR_RNDN);
        mpfr_mul(r15906, r15896, r15905, MPFR_RNDN);
        mpfr_sub(r15907, r15901, r15906, MPFR_RNDN);
        mpfr_div(r15908, r15902, r15904, MPFR_RNDN);
        mpfr_sqr(r15909, r15908, MPFR_RNDN);
        mpfr_mul(r15910, r15897, r15909, MPFR_RNDN);
        mpfr_set_d(r15911, U_, MPFR_RNDN);
        mpfr_sub(r15912, r15899, r15911, MPFR_RNDN);
        mpfr_mul(r15913, r15910, r15912, MPFR_RNDN);
        mpfr_sub(r15914, r15907, r15913, MPFR_RNDN);
        mpfr_mul(r15915, r15900, r15914, MPFR_RNDN);
        ;
        mpfr_set_si(r15917, mpfr_cmp(r15915, r15916) <= 0, MPFR_RNDN);
        mpfr_div(r15918, r15904, r15902, MPFR_RNDN);
        mpfr_div(r15919, r15902, r15918, MPFR_RNDN);
        mpfr_mul(r15920, r15896, r15919, MPFR_RNDN);
        mpfr_sub(r15921, r15901, r15920, MPFR_RNDN);
        mpfr_sub(r15922, r15921, r15913, MPFR_RNDN);
        mpfr_mul(r15923, r15899, r15922, MPFR_RNDN);
        mpfr_mul(r15924, r15898, r15923, MPFR_RNDN);
        mpfr_sqrt(r15925, r15924, MPFR_RNDN);
        ;
        mpfr_set_si(r15927, mpfr_cmp(r15915, r15926) <= 0, MPFR_RNDN);
        mpfr_mul(r15928, r15897, r15908, MPFR_RNDN);
        mpfr_mul(r15929, r15928, r15908, MPFR_RNDN);
        mpfr_mul(r15930, r15929, r15912, MPFR_RNDN);
        mpfr_sub(r15931, r15921, r15930, MPFR_RNDN);
        mpfr_mul(r15932, r15900, r15931, MPFR_RNDN);
        mpfr_sqrt(r15933, r15932, MPFR_RNDN);
        mpfr_mul(r15934, r15901, r15896, MPFR_RNDN);
        mpfr_mul(r15935, r15897, r15899, MPFR_RNDN);
        mpfr_mul(r15936, r15934, r15935, MPFR_RNDN);
        mpfr_mul(r15937, r15902, r15899, MPFR_RNDN);
        mpfr_div(r15938, r15937, r15918, MPFR_RNDN);
        mpfr_sub(r15939, r15911, r15899, MPFR_RNDN);
        mpfr_mul(r15940, r15938, r15939, MPFR_RNDN);
        mpfr_div(r15941, r15896, r15904, MPFR_RNDN);
        mpfr_sqr(r15942, r15897, MPFR_RNDN);
        mpfr_mul(r15943, r15941, r15942, MPFR_RNDN);
        mpfr_mul(r15944, r15940, r15943, MPFR_RNDN);
        mpfr_add(r15945, r15936, r15944, MPFR_RNDN);
        mpfr_sqrt(r15946, r15945, MPFR_RNDN);
        if (mpfr_get_si(r15927, MPFR_RNDN)) { mpfr_set(r15947, r15933, MPFR_RNDN); } else { mpfr_set(r15947, r15946, MPFR_RNDN); };
        if (mpfr_get_si(r15917, MPFR_RNDN)) { mpfr_set(r15948, r15925, MPFR_RNDN); } else { mpfr_set(r15948, r15947, MPFR_RNDN); };
        return mpfr_get_d(r15948, MPFR_RNDN);
}