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

char *name = "VandenBroeck and Keller, Equation (6)";

double f_if(float F, float l) {
        float r7786 = atan2(1.0, 0.0);
        float r7787 = l;
        float r7788 = r7786 * r7787;
        float r7789 = 1;
        float r7790 = F;
        float r7791 = r7790 * r7790;
        float r7792 = r7789 / r7791;
        float r7793 = tan(r7788);
        float r7794 = r7792 * r7793;
        float r7795 = r7788 - r7794;
        return r7795;
}

double f_id(double F, double l) {
        double r7796 = atan2(1.0, 0.0);
        double r7797 = l;
        double r7798 = r7796 * r7797;
        double r7799 = 1;
        double r7800 = F;
        double r7801 = r7800 * r7800;
        double r7802 = r7799 / r7801;
        double r7803 = tan(r7798);
        double r7804 = r7802 * r7803;
        double r7805 = r7798 - r7804;
        return r7805;
}


double f_of(float F, float l) {
        float r7806 = atan2(1.0, 0.0);
        float r7807 = l;
        float r7808 = r7806 * r7807;
        float r7809 = sin(r7808);
        float r7810 = cos(r7808);
        float r7811 = r7809 / r7810;
        float r7812 = cbrt(r7811);
        float r7813 = F;
        float r7814 = r7812 / r7813;
        float r7815 = r7814 * r7814;
        float r7816 = cbrt(r7809);
        float r7817 = cbrt(r7810);
        float r7818 = r7816 / r7817;
        float r7819 = r7815 * r7818;
        float r7820 = r7808 - r7819;
        return r7820;
}

double f_od(double F, double l) {
        double r7821 = atan2(1.0, 0.0);
        double r7822 = l;
        double r7823 = r7821 * r7822;
        double r7824 = sin(r7823);
        double r7825 = cos(r7823);
        double r7826 = r7824 / r7825;
        double r7827 = cbrt(r7826);
        double r7828 = F;
        double r7829 = r7827 / r7828;
        double r7830 = r7829 * r7829;
        double r7831 = cbrt(r7824);
        double r7832 = cbrt(r7825);
        double r7833 = r7831 / r7832;
        double r7834 = r7830 * r7833;
        double r7835 = r7823 - r7834;
        return r7835;
}

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 r7836, r7837, r7838, r7839, r7840, r7841, r7842, r7843, r7844, r7845;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(3152);
        mpfr_init(r7836);
        mpfr_init(r7837);
        mpfr_init(r7838);
        mpfr_init_set_str(r7839, "1", 10, MPFR_RNDN);
        mpfr_init(r7840);
        mpfr_init(r7841);
        mpfr_init(r7842);
        mpfr_init(r7843);
        mpfr_init(r7844);
        mpfr_init(r7845);
}

double f_im(double F, double l) {
        mpfr_const_pi(r7836, MPFR_RNDN);
        mpfr_set_d(r7837, l, MPFR_RNDN);
        mpfr_mul(r7838, r7836, r7837, MPFR_RNDN);
        ;
        mpfr_set_d(r7840, F, MPFR_RNDN);
        mpfr_mul(r7841, r7840, r7840, MPFR_RNDN);
        mpfr_div(r7842, r7839, r7841, MPFR_RNDN);
        mpfr_tan(r7843, r7838, MPFR_RNDN);
        mpfr_mul(r7844, r7842, r7843, MPFR_RNDN);
        mpfr_sub(r7845, r7838, r7844, MPFR_RNDN);
        return mpfr_get_d(r7845, MPFR_RNDN);
}

static mpfr_t r7846, r7847, r7848, r7849, r7850, r7851, r7852, r7853, r7854, r7855, r7856, r7857, r7858, r7859, r7860;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(3152);
        mpfr_init(r7846);
        mpfr_init(r7847);
        mpfr_init(r7848);
        mpfr_init(r7849);
        mpfr_init(r7850);
        mpfr_init(r7851);
        mpfr_init(r7852);
        mpfr_init(r7853);
        mpfr_init(r7854);
        mpfr_init(r7855);
        mpfr_init(r7856);
        mpfr_init(r7857);
        mpfr_init(r7858);
        mpfr_init(r7859);
        mpfr_init(r7860);
}

double f_fm(double F, double l) {
        mpfr_const_pi(r7846, MPFR_RNDN);
        mpfr_set_d(r7847, l, MPFR_RNDN);
        mpfr_mul(r7848, r7846, r7847, MPFR_RNDN);
        mpfr_sin(r7849, r7848, MPFR_RNDN);
        mpfr_cos(r7850, r7848, MPFR_RNDN);
        mpfr_div(r7851, r7849, r7850, MPFR_RNDN);
        mpfr_cbrt(r7852, r7851, MPFR_RNDN);
        mpfr_set_d(r7853, F, MPFR_RNDN);
        mpfr_div(r7854, r7852, r7853, MPFR_RNDN);
        mpfr_mul(r7855, r7854, r7854, MPFR_RNDN);
        mpfr_cbrt(r7856, r7849, MPFR_RNDN);
        mpfr_cbrt(r7857, r7850, MPFR_RNDN);
        mpfr_div(r7858, r7856, r7857, MPFR_RNDN);
        mpfr_mul(r7859, r7855, r7858, MPFR_RNDN);
        mpfr_sub(r7860, r7848, r7859, MPFR_RNDN);
        return mpfr_get_d(r7860, MPFR_RNDN);
}

static mpfr_t r7861, r7862, r7863, r7864, r7865, r7866, r7867, r7868, r7869, r7870, r7871, r7872, r7873, r7874, r7875;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(3152);
        mpfr_init(r7861);
        mpfr_init(r7862);
        mpfr_init(r7863);
        mpfr_init(r7864);
        mpfr_init(r7865);
        mpfr_init(r7866);
        mpfr_init(r7867);
        mpfr_init(r7868);
        mpfr_init(r7869);
        mpfr_init(r7870);
        mpfr_init(r7871);
        mpfr_init(r7872);
        mpfr_init(r7873);
        mpfr_init(r7874);
        mpfr_init(r7875);
}

double f_dm(double F, double l) {
        mpfr_const_pi(r7861, MPFR_RNDN);
        mpfr_set_d(r7862, l, MPFR_RNDN);
        mpfr_mul(r7863, r7861, r7862, MPFR_RNDN);
        mpfr_sin(r7864, r7863, MPFR_RNDN);
        mpfr_cos(r7865, r7863, MPFR_RNDN);
        mpfr_div(r7866, r7864, r7865, MPFR_RNDN);
        mpfr_cbrt(r7867, r7866, MPFR_RNDN);
        mpfr_set_d(r7868, F, MPFR_RNDN);
        mpfr_div(r7869, r7867, r7868, MPFR_RNDN);
        mpfr_mul(r7870, r7869, r7869, MPFR_RNDN);
        mpfr_cbrt(r7871, r7864, MPFR_RNDN);
        mpfr_cbrt(r7872, r7865, MPFR_RNDN);
        mpfr_div(r7873, r7871, r7872, MPFR_RNDN);
        mpfr_mul(r7874, r7870, r7873, MPFR_RNDN);
        mpfr_sub(r7875, r7863, r7874, MPFR_RNDN);
        return mpfr_get_d(r7875, MPFR_RNDN);
}