#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 r23843 = atan2(1.0, 0.0);
        float r23844 = l;
        float r23845 = r23843 * r23844;
        float r23846 = 1;
        float r23847 = F;
        float r23848 = r23847 * r23847;
        float r23849 = r23846 / r23848;
        float r23850 = tan(r23845);
        float r23851 = r23849 * r23850;
        float r23852 = r23845 - r23851;
        return r23852;
}

double f_id(double F, double l) {
        double r23853 = atan2(1.0, 0.0);
        double r23854 = l;
        double r23855 = r23853 * r23854;
        double r23856 = 1;
        double r23857 = F;
        double r23858 = r23857 * r23857;
        double r23859 = r23856 / r23858;
        double r23860 = tan(r23855);
        double r23861 = r23859 * r23860;
        double r23862 = r23855 - r23861;
        return r23862;
}


double f_of(float F, float l) {
        float r23863 = atan2(1.0, 0.0);
        float r23864 = l;
        float r23865 = r23863 * r23864;
        float r23866 = r23864 * r23863;
        float r23867 = tan(r23866);
        float r23868 = cbrt(r23867);
        float r23869 = F;
        float r23870 = r23868 / r23869;
        float r23871 = r23870 * r23870;
        float r23872 = tan(r23865);
        float r23873 = cbrt(r23872);
        float r23874 = r23871 * r23873;
        float r23875 = r23865 - r23874;
        return r23875;
}

double f_od(double F, double l) {
        double r23876 = atan2(1.0, 0.0);
        double r23877 = l;
        double r23878 = r23876 * r23877;
        double r23879 = r23877 * r23876;
        double r23880 = tan(r23879);
        double r23881 = cbrt(r23880);
        double r23882 = F;
        double r23883 = r23881 / r23882;
        double r23884 = r23883 * r23883;
        double r23885 = tan(r23878);
        double r23886 = cbrt(r23885);
        double r23887 = r23884 * r23886;
        double r23888 = r23878 - r23887;
        return r23888;
}

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 r23889, r23890, r23891, r23892, r23893, r23894, r23895, r23896, r23897, r23898;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(3408);
        mpfr_init(r23889);
        mpfr_init(r23890);
        mpfr_init(r23891);
        mpfr_init_set_str(r23892, "1", 10, MPFR_RNDN);
        mpfr_init(r23893);
        mpfr_init(r23894);
        mpfr_init(r23895);
        mpfr_init(r23896);
        mpfr_init(r23897);
        mpfr_init(r23898);
}

double f_im(double F, double l) {
        mpfr_const_pi(r23889, MPFR_RNDN);
        mpfr_set_d(r23890, l, MPFR_RNDN);
        mpfr_mul(r23891, r23889, r23890, MPFR_RNDN);
        ;
        mpfr_set_d(r23893, F, MPFR_RNDN);
        mpfr_mul(r23894, r23893, r23893, MPFR_RNDN);
        mpfr_div(r23895, r23892, r23894, MPFR_RNDN);
        mpfr_tan(r23896, r23891, MPFR_RNDN);
        mpfr_mul(r23897, r23895, r23896, MPFR_RNDN);
        mpfr_sub(r23898, r23891, r23897, MPFR_RNDN);
        return mpfr_get_d(r23898, MPFR_RNDN);
}

static mpfr_t r23899, r23900, r23901, r23902, r23903, r23904, r23905, r23906, r23907, r23908, r23909, r23910, r23911;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(3408);
        mpfr_init(r23899);
        mpfr_init(r23900);
        mpfr_init(r23901);
        mpfr_init(r23902);
        mpfr_init(r23903);
        mpfr_init(r23904);
        mpfr_init(r23905);
        mpfr_init(r23906);
        mpfr_init(r23907);
        mpfr_init(r23908);
        mpfr_init(r23909);
        mpfr_init(r23910);
        mpfr_init(r23911);
}

double f_fm(double F, double l) {
        mpfr_const_pi(r23899, MPFR_RNDN);
        mpfr_set_d(r23900, l, MPFR_RNDN);
        mpfr_mul(r23901, r23899, r23900, MPFR_RNDN);
        mpfr_mul(r23902, r23900, r23899, MPFR_RNDN);
        mpfr_tan(r23903, r23902, MPFR_RNDN);
        mpfr_cbrt(r23904, r23903, MPFR_RNDN);
        mpfr_set_d(r23905, F, MPFR_RNDN);
        mpfr_div(r23906, r23904, r23905, MPFR_RNDN);
        mpfr_mul(r23907, r23906, r23906, MPFR_RNDN);
        mpfr_tan(r23908, r23901, MPFR_RNDN);
        mpfr_cbrt(r23909, r23908, MPFR_RNDN);
        mpfr_mul(r23910, r23907, r23909, MPFR_RNDN);
        mpfr_sub(r23911, r23901, r23910, MPFR_RNDN);
        return mpfr_get_d(r23911, MPFR_RNDN);
}

static mpfr_t r23912, r23913, r23914, r23915, r23916, r23917, r23918, r23919, r23920, r23921, r23922, r23923, r23924;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(3408);
        mpfr_init(r23912);
        mpfr_init(r23913);
        mpfr_init(r23914);
        mpfr_init(r23915);
        mpfr_init(r23916);
        mpfr_init(r23917);
        mpfr_init(r23918);
        mpfr_init(r23919);
        mpfr_init(r23920);
        mpfr_init(r23921);
        mpfr_init(r23922);
        mpfr_init(r23923);
        mpfr_init(r23924);
}

double f_dm(double F, double l) {
        mpfr_const_pi(r23912, MPFR_RNDN);
        mpfr_set_d(r23913, l, MPFR_RNDN);
        mpfr_mul(r23914, r23912, r23913, MPFR_RNDN);
        mpfr_mul(r23915, r23913, r23912, MPFR_RNDN);
        mpfr_tan(r23916, r23915, MPFR_RNDN);
        mpfr_cbrt(r23917, r23916, MPFR_RNDN);
        mpfr_set_d(r23918, F, MPFR_RNDN);
        mpfr_div(r23919, r23917, r23918, MPFR_RNDN);
        mpfr_mul(r23920, r23919, r23919, MPFR_RNDN);
        mpfr_tan(r23921, r23914, MPFR_RNDN);
        mpfr_cbrt(r23922, r23921, MPFR_RNDN);
        mpfr_mul(r23923, r23920, r23922, MPFR_RNDN);
        mpfr_sub(r23924, r23914, r23923, MPFR_RNDN);
        return mpfr_get_d(r23924, MPFR_RNDN);
}