#include <tgmath.h>
#include <gmp.h>
#include <mpfr.h>
#include <stdio.h>
#include <stdbool.h>

char *name = "Toniolo and Linder, Equation (7)";

double f_if(float x, float l, float t) {
        float r21712 = 2;
        float r21713 = sqrt(r21712);
        float r21714 = t;
        float r21715 = r21713 * r21714;
        float r21716 = x;
        float r21717 = 1;
        float r21718 = r21716 + r21717;
        float r21719 = r21716 - r21717;
        float r21720 = r21718 / r21719;
        float r21721 = l;
        float r21722 = r21721 * r21721;
        float r21723 = r21714 * r21714;
        float r21724 = r21712 * r21723;
        float r21725 = r21722 + r21724;
        float r21726 = r21720 * r21725;
        float r21727 = r21726 - r21722;
        float r21728 = sqrt(r21727);
        float r21729 = r21715 / r21728;
        return r21729;
}

double f_id(double x, double l, double t) {
        double r21730 = 2;
        double r21731 = sqrt(r21730);
        double r21732 = t;
        double r21733 = r21731 * r21732;
        double r21734 = x;
        double r21735 = 1;
        double r21736 = r21734 + r21735;
        double r21737 = r21734 - r21735;
        double r21738 = r21736 / r21737;
        double r21739 = l;
        double r21740 = r21739 * r21739;
        double r21741 = r21732 * r21732;
        double r21742 = r21730 * r21741;
        double r21743 = r21740 + r21742;
        double r21744 = r21738 * r21743;
        double r21745 = r21744 - r21740;
        double r21746 = sqrt(r21745);
        double r21747 = r21733 / r21746;
        return r21747;
}


double f_of(float x, float l, float t) {
        float r21748 = t;
        float r21749 = -1.2421310149305616e+78;
        bool r21750 = r21748 <= r21749;
        float r21751 = -r21748;
        float r21752 = 2;
        float r21753 = r21748 / r21752;
        float r21754 = x;
        float r21755 = r21752 / r21754;
        float r21756 = r21753 * r21755;
        float r21757 = r21751 - r21756;
        float r21758 = r21748 / r21757;
        float r21759 = 1.134694045746644e+106;
        bool r21760 = r21748 <= r21759;
        float r21761 = sqrt(r21752);
        float r21762 = cbrt(r21761);
        float r21763 = r21762 * r21762;
        float r21764 = r21763 * r21748;
        float r21765 = r21762 * r21764;
        float r21766 = l;
        float r21767 = r21766 / r21754;
        float r21768 = r21748 * r21748;
        float r21769 = fma(r21767, r21766, r21768);
        float r21770 = 4;
        float r21771 = r21770 / r21754;
        float r21772 = r21768 * r21771;
        float r21773 = fma(r21769, r21752, r21772);
        float r21774 = sqrt(r21773);
        float r21775 = r21765 / r21774;
        float r21776 = r21755 / r21761;
        float r21777 = r21776 + r21761;
        float r21778 = r21761 / r21777;
        float r21779 = r21760 ? r21775 : r21778;
        float r21780 = r21750 ? r21758 : r21779;
        return r21780;
}

double f_od(double x, double l, double t) {
        double r21781 = t;
        double r21782 = -1.2421310149305616e+78;
        bool r21783 = r21781 <= r21782;
        double r21784 = -r21781;
        double r21785 = 2;
        double r21786 = r21781 / r21785;
        double r21787 = x;
        double r21788 = r21785 / r21787;
        double r21789 = r21786 * r21788;
        double r21790 = r21784 - r21789;
        double r21791 = r21781 / r21790;
        double r21792 = 1.134694045746644e+106;
        bool r21793 = r21781 <= r21792;
        double r21794 = sqrt(r21785);
        double r21795 = cbrt(r21794);
        double r21796 = r21795 * r21795;
        double r21797 = r21796 * r21781;
        double r21798 = r21795 * r21797;
        double r21799 = l;
        double r21800 = r21799 / r21787;
        double r21801 = r21781 * r21781;
        double r21802 = fma(r21800, r21799, r21801);
        double r21803 = 4;
        double r21804 = r21803 / r21787;
        double r21805 = r21801 * r21804;
        double r21806 = fma(r21802, r21785, r21805);
        double r21807 = sqrt(r21806);
        double r21808 = r21798 / r21807;
        double r21809 = r21788 / r21794;
        double r21810 = r21809 + r21794;
        double r21811 = r21794 / r21810;
        double r21812 = r21793 ? r21808 : r21811;
        double r21813 = r21783 ? r21791 : r21812;
        return r21813;
}

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 r21814, r21815, r21816, r21817, r21818, r21819, r21820, r21821, r21822, r21823, r21824, r21825, r21826, r21827, r21828, r21829, r21830, r21831;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init_set_str(r21814, "2", 10, MPFR_RNDN);
        mpfr_init(r21815);
        mpfr_init(r21816);
        mpfr_init(r21817);
        mpfr_init(r21818);
        mpfr_init_set_str(r21819, "1", 10, MPFR_RNDN);
        mpfr_init(r21820);
        mpfr_init(r21821);
        mpfr_init(r21822);
        mpfr_init(r21823);
        mpfr_init(r21824);
        mpfr_init(r21825);
        mpfr_init(r21826);
        mpfr_init(r21827);
        mpfr_init(r21828);
        mpfr_init(r21829);
        mpfr_init(r21830);
        mpfr_init(r21831);
}

double f_im(double x, double l, double t) {
        ;
        mpfr_sqrt(r21815, r21814, MPFR_RNDN);
        mpfr_set_d(r21816, t, MPFR_RNDN);
        mpfr_mul(r21817, r21815, r21816, MPFR_RNDN);
        mpfr_set_d(r21818, x, MPFR_RNDN);
        ;
        mpfr_add(r21820, r21818, r21819, MPFR_RNDN);
        mpfr_sub(r21821, r21818, r21819, MPFR_RNDN);
        mpfr_div(r21822, r21820, r21821, MPFR_RNDN);
        mpfr_set_d(r21823, l, MPFR_RNDN);
        mpfr_mul(r21824, r21823, r21823, MPFR_RNDN);
        mpfr_mul(r21825, r21816, r21816, MPFR_RNDN);
        mpfr_mul(r21826, r21814, r21825, MPFR_RNDN);
        mpfr_add(r21827, r21824, r21826, MPFR_RNDN);
        mpfr_mul(r21828, r21822, r21827, MPFR_RNDN);
        mpfr_sub(r21829, r21828, r21824, MPFR_RNDN);
        mpfr_sqrt(r21830, r21829, MPFR_RNDN);
        mpfr_div(r21831, r21817, r21830, MPFR_RNDN);
        return mpfr_get_d(r21831, MPFR_RNDN);
}

static mpfr_t r21832, r21833, r21834, r21835, r21836, r21837, r21838, r21839, r21840, r21841, r21842, r21843, r21844, r21845, r21846, r21847, r21848, r21849, r21850, r21851, r21852, r21853, r21854, r21855, r21856, r21857, r21858, r21859, r21860, r21861, r21862, r21863, r21864;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r21832);
        mpfr_init_set_str(r21833, "-1.2421310149305616e+78", 10, MPFR_RNDN);
        mpfr_init(r21834);
        mpfr_init(r21835);
        mpfr_init_set_str(r21836, "2", 10, MPFR_RNDN);
        mpfr_init(r21837);
        mpfr_init(r21838);
        mpfr_init(r21839);
        mpfr_init(r21840);
        mpfr_init(r21841);
        mpfr_init(r21842);
        mpfr_init_set_str(r21843, "1.134694045746644e+106", 10, MPFR_RNDN);
        mpfr_init(r21844);
        mpfr_init(r21845);
        mpfr_init(r21846);
        mpfr_init(r21847);
        mpfr_init(r21848);
        mpfr_init(r21849);
        mpfr_init(r21850);
        mpfr_init(r21851);
        mpfr_init(r21852);
        mpfr_init(r21853);
        mpfr_init_set_str(r21854, "4", 10, MPFR_RNDN);
        mpfr_init(r21855);
        mpfr_init(r21856);
        mpfr_init(r21857);
        mpfr_init(r21858);
        mpfr_init(r21859);
        mpfr_init(r21860);
        mpfr_init(r21861);
        mpfr_init(r21862);
        mpfr_init(r21863);
        mpfr_init(r21864);
}

double f_fm(double x, double l, double t) {
        mpfr_set_d(r21832, t, MPFR_RNDN);
        ;
        mpfr_set_si(r21834, mpfr_cmp(r21832, r21833) <= 0, MPFR_RNDN);
        mpfr_neg(r21835, r21832, MPFR_RNDN);
        ;
        mpfr_div(r21837, r21832, r21836, MPFR_RNDN);
        mpfr_set_d(r21838, x, MPFR_RNDN);
        mpfr_div(r21839, r21836, r21838, MPFR_RNDN);
        mpfr_mul(r21840, r21837, r21839, MPFR_RNDN);
        mpfr_sub(r21841, r21835, r21840, MPFR_RNDN);
        mpfr_div(r21842, r21832, r21841, MPFR_RNDN);
        ;
        mpfr_set_si(r21844, mpfr_cmp(r21832, r21843) <= 0, MPFR_RNDN);
        mpfr_sqrt(r21845, r21836, MPFR_RNDN);
        mpfr_cbrt(r21846, r21845, MPFR_RNDN);
        mpfr_mul(r21847, r21846, r21846, MPFR_RNDN);
        mpfr_mul(r21848, r21847, r21832, MPFR_RNDN);
        mpfr_mul(r21849, r21846, r21848, MPFR_RNDN);
        mpfr_set_d(r21850, l, MPFR_RNDN);
        mpfr_div(r21851, r21850, r21838, MPFR_RNDN);
        mpfr_mul(r21852, r21832, r21832, MPFR_RNDN);
        mpfr_fma(r21853, r21851, r21850, r21852, MPFR_RNDN);
        ;
        mpfr_div(r21855, r21854, r21838, MPFR_RNDN);
        mpfr_mul(r21856, r21852, r21855, MPFR_RNDN);
        mpfr_fma(r21857, r21853, r21836, r21856, MPFR_RNDN);
        mpfr_sqrt(r21858, r21857, MPFR_RNDN);
        mpfr_div(r21859, r21849, r21858, MPFR_RNDN);
        mpfr_div(r21860, r21839, r21845, MPFR_RNDN);
        mpfr_add(r21861, r21860, r21845, MPFR_RNDN);
        mpfr_div(r21862, r21845, r21861, MPFR_RNDN);
        if (mpfr_get_si(r21844, MPFR_RNDN)) { mpfr_set(r21863, r21859, MPFR_RNDN); } else { mpfr_set(r21863, r21862, MPFR_RNDN); };
        if (mpfr_get_si(r21834, MPFR_RNDN)) { mpfr_set(r21864, r21842, MPFR_RNDN); } else { mpfr_set(r21864, r21863, MPFR_RNDN); };
        return mpfr_get_d(r21864, MPFR_RNDN);
}

static mpfr_t r21865, r21866, r21867, r21868, r21869, r21870, r21871, r21872, r21873, r21874, r21875, r21876, r21877, r21878, r21879, r21880, r21881, r21882, r21883, r21884, r21885, r21886, r21887, r21888, r21889, r21890, r21891, r21892, r21893, r21894, r21895, r21896, r21897;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r21865);
        mpfr_init_set_str(r21866, "-1.2421310149305616e+78", 10, MPFR_RNDN);
        mpfr_init(r21867);
        mpfr_init(r21868);
        mpfr_init_set_str(r21869, "2", 10, MPFR_RNDN);
        mpfr_init(r21870);
        mpfr_init(r21871);
        mpfr_init(r21872);
        mpfr_init(r21873);
        mpfr_init(r21874);
        mpfr_init(r21875);
        mpfr_init_set_str(r21876, "1.134694045746644e+106", 10, MPFR_RNDN);
        mpfr_init(r21877);
        mpfr_init(r21878);
        mpfr_init(r21879);
        mpfr_init(r21880);
        mpfr_init(r21881);
        mpfr_init(r21882);
        mpfr_init(r21883);
        mpfr_init(r21884);
        mpfr_init(r21885);
        mpfr_init(r21886);
        mpfr_init_set_str(r21887, "4", 10, MPFR_RNDN);
        mpfr_init(r21888);
        mpfr_init(r21889);
        mpfr_init(r21890);
        mpfr_init(r21891);
        mpfr_init(r21892);
        mpfr_init(r21893);
        mpfr_init(r21894);
        mpfr_init(r21895);
        mpfr_init(r21896);
        mpfr_init(r21897);
}

double f_dm(double x, double l, double t) {
        mpfr_set_d(r21865, t, MPFR_RNDN);
        ;
        mpfr_set_si(r21867, mpfr_cmp(r21865, r21866) <= 0, MPFR_RNDN);
        mpfr_neg(r21868, r21865, MPFR_RNDN);
        ;
        mpfr_div(r21870, r21865, r21869, MPFR_RNDN);
        mpfr_set_d(r21871, x, MPFR_RNDN);
        mpfr_div(r21872, r21869, r21871, MPFR_RNDN);
        mpfr_mul(r21873, r21870, r21872, MPFR_RNDN);
        mpfr_sub(r21874, r21868, r21873, MPFR_RNDN);
        mpfr_div(r21875, r21865, r21874, MPFR_RNDN);
        ;
        mpfr_set_si(r21877, mpfr_cmp(r21865, r21876) <= 0, MPFR_RNDN);
        mpfr_sqrt(r21878, r21869, MPFR_RNDN);
        mpfr_cbrt(r21879, r21878, MPFR_RNDN);
        mpfr_mul(r21880, r21879, r21879, MPFR_RNDN);
        mpfr_mul(r21881, r21880, r21865, MPFR_RNDN);
        mpfr_mul(r21882, r21879, r21881, MPFR_RNDN);
        mpfr_set_d(r21883, l, MPFR_RNDN);
        mpfr_div(r21884, r21883, r21871, MPFR_RNDN);
        mpfr_mul(r21885, r21865, r21865, MPFR_RNDN);
        mpfr_fma(r21886, r21884, r21883, r21885, MPFR_RNDN);
        ;
        mpfr_div(r21888, r21887, r21871, MPFR_RNDN);
        mpfr_mul(r21889, r21885, r21888, MPFR_RNDN);
        mpfr_fma(r21890, r21886, r21869, r21889, MPFR_RNDN);
        mpfr_sqrt(r21891, r21890, MPFR_RNDN);
        mpfr_div(r21892, r21882, r21891, MPFR_RNDN);
        mpfr_div(r21893, r21872, r21878, MPFR_RNDN);
        mpfr_add(r21894, r21893, r21878, MPFR_RNDN);
        mpfr_div(r21895, r21878, r21894, MPFR_RNDN);
        if (mpfr_get_si(r21877, MPFR_RNDN)) { mpfr_set(r21896, r21892, MPFR_RNDN); } else { mpfr_set(r21896, r21895, MPFR_RNDN); };
        if (mpfr_get_si(r21867, MPFR_RNDN)) { mpfr_set(r21897, r21875, MPFR_RNDN); } else { mpfr_set(r21897, r21896, MPFR_RNDN); };
        return mpfr_get_d(r21897, MPFR_RNDN);
}

