#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 = l;
        float r23864 = atan2(1.0, 0.0);
        float r23865 = r23863 * r23864;
        float r23866 = 1;
        float r23867 = F;
        float r23868 = r23866 / r23867;
        float r23869 = tan(r23865);
        float r23870 = r23869 * r23868;
        float r23871 = r23868 * r23870;
        float r23872 = r23865 - r23871;
        return r23872;
}

double f_od(double F, double l) {
        double r23873 = l;
        double r23874 = atan2(1.0, 0.0);
        double r23875 = r23873 * r23874;
        double r23876 = 1;
        double r23877 = F;
        double r23878 = r23876 / r23877;
        double r23879 = tan(r23875);
        double r23880 = r23879 * r23878;
        double r23881 = r23878 * r23880;
        double r23882 = r23875 - r23881;
        return r23882;
}

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 r23883, r23884, r23885, r23886, r23887, r23888, r23889, r23890, r23891, r23892;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(3408);
        mpfr_init(r23883);
        mpfr_init(r23884);
        mpfr_init(r23885);
        mpfr_init_set_str(r23886, "1", 10, MPFR_RNDN);
        mpfr_init(r23887);
        mpfr_init(r23888);
        mpfr_init(r23889);
        mpfr_init(r23890);
        mpfr_init(r23891);
        mpfr_init(r23892);
}

double f_im(double F, double l) {
        mpfr_const_pi(r23883, MPFR_RNDN);
        mpfr_set_d(r23884, l, MPFR_RNDN);
        mpfr_mul(r23885, r23883, r23884, MPFR_RNDN);
        ;
        mpfr_set_d(r23887, F, MPFR_RNDN);
        mpfr_mul(r23888, r23887, r23887, MPFR_RNDN);
        mpfr_div(r23889, r23886, r23888, MPFR_RNDN);
        mpfr_tan(r23890, r23885, MPFR_RNDN);
        mpfr_mul(r23891, r23889, r23890, MPFR_RNDN);
        mpfr_sub(r23892, r23885, r23891, MPFR_RNDN);
        return mpfr_get_d(r23892, MPFR_RNDN);
}

static mpfr_t r23893, r23894, r23895, r23896, r23897, r23898, r23899, r23900, r23901, r23902;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(3408);
        mpfr_init(r23893);
        mpfr_init(r23894);
        mpfr_init(r23895);
        mpfr_init_set_str(r23896, "1", 10, MPFR_RNDN);
        mpfr_init(r23897);
        mpfr_init(r23898);
        mpfr_init(r23899);
        mpfr_init(r23900);
        mpfr_init(r23901);
        mpfr_init(r23902);
}

double f_fm(double F, double l) {
        mpfr_set_d(r23893, l, MPFR_RNDN);
        mpfr_const_pi(r23894, MPFR_RNDN);
        mpfr_mul(r23895, r23893, r23894, MPFR_RNDN);
        ;
        mpfr_set_d(r23897, F, MPFR_RNDN);
        mpfr_div(r23898, r23896, r23897, MPFR_RNDN);
        mpfr_tan(r23899, r23895, MPFR_RNDN);
        mpfr_mul(r23900, r23899, r23898, MPFR_RNDN);
        mpfr_mul(r23901, r23898, r23900, MPFR_RNDN);
        mpfr_sub(r23902, r23895, r23901, MPFR_RNDN);
        return mpfr_get_d(r23902, MPFR_RNDN);
}

static mpfr_t r23903, r23904, r23905, r23906, r23907, r23908, r23909, r23910, r23911, r23912;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(3408);
        mpfr_init(r23903);
        mpfr_init(r23904);
        mpfr_init(r23905);
        mpfr_init_set_str(r23906, "1", 10, MPFR_RNDN);
        mpfr_init(r23907);
        mpfr_init(r23908);
        mpfr_init(r23909);
        mpfr_init(r23910);
        mpfr_init(r23911);
        mpfr_init(r23912);
}

double f_dm(double F, double l) {
        mpfr_set_d(r23903, l, MPFR_RNDN);
        mpfr_const_pi(r23904, MPFR_RNDN);
        mpfr_mul(r23905, r23903, r23904, MPFR_RNDN);
        ;
        mpfr_set_d(r23907, F, MPFR_RNDN);
        mpfr_div(r23908, r23906, r23907, MPFR_RNDN);
        mpfr_tan(r23909, r23905, MPFR_RNDN);
        mpfr_mul(r23910, r23909, r23908, MPFR_RNDN);
        mpfr_mul(r23911, r23908, r23910, MPFR_RNDN);
        mpfr_sub(r23912, r23905, r23911, MPFR_RNDN);
        return mpfr_get_d(r23912, MPFR_RNDN);
}