#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 r23850 = atan2(1.0, 0.0);
        float r23851 = l;
        float r23852 = r23850 * r23851;
        float r23853 = 1;
        float r23854 = F;
        float r23855 = r23854 * r23854;
        float r23856 = r23853 / r23855;
        float r23857 = tan(r23852);
        float r23858 = r23856 * r23857;
        float r23859 = r23852 - r23858;
        return r23859;
}

double f_id(double F, double l) {
        double r23860 = atan2(1.0, 0.0);
        double r23861 = l;
        double r23862 = r23860 * r23861;
        double r23863 = 1;
        double r23864 = F;
        double r23865 = r23864 * r23864;
        double r23866 = r23863 / r23865;
        double r23867 = tan(r23862);
        double r23868 = r23866 * r23867;
        double r23869 = r23862 - r23868;
        return r23869;
}


double f_of(float F, float l) {
        float r23870 = l;
        float r23871 = atan2(1.0, 0.0);
        float r23872 = r23870 * r23871;
        float r23873 = tan(r23872);
        float r23874 = F;
        float r23875 = r23873 / r23874;
        float r23876 = r23875 / r23874;
        float r23877 = r23872 - r23876;
        return r23877;
}

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

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 r23886, r23887, r23888, r23889, r23890, r23891, r23892, r23893, r23894, r23895;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2896);
        mpfr_init(r23886);
        mpfr_init(r23887);
        mpfr_init(r23888);
        mpfr_init_set_str(r23889, "1", 10, MPFR_RNDN);
        mpfr_init(r23890);
        mpfr_init(r23891);
        mpfr_init(r23892);
        mpfr_init(r23893);
        mpfr_init(r23894);
        mpfr_init(r23895);
}

double f_im(double F, double l) {
        mpfr_const_pi(r23886, MPFR_RNDN);
        mpfr_set_d(r23887, l, MPFR_RNDN);
        mpfr_mul(r23888, r23886, r23887, MPFR_RNDN);
        ;
        mpfr_set_d(r23890, F, MPFR_RNDN);
        mpfr_mul(r23891, r23890, r23890, MPFR_RNDN);
        mpfr_div(r23892, r23889, r23891, MPFR_RNDN);
        mpfr_tan(r23893, r23888, MPFR_RNDN);
        mpfr_mul(r23894, r23892, r23893, MPFR_RNDN);
        mpfr_sub(r23895, r23888, r23894, MPFR_RNDN);
        return mpfr_get_d(r23895, MPFR_RNDN);
}

static mpfr_t r23896, r23897, r23898, r23899, r23900, r23901, r23902, r23903;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2896);
        mpfr_init(r23896);
        mpfr_init(r23897);
        mpfr_init(r23898);
        mpfr_init(r23899);
        mpfr_init(r23900);
        mpfr_init(r23901);
        mpfr_init(r23902);
        mpfr_init(r23903);
}

double f_fm(double F, double l) {
        mpfr_set_d(r23896, l, MPFR_RNDN);
        mpfr_const_pi(r23897, MPFR_RNDN);
        mpfr_mul(r23898, r23896, r23897, MPFR_RNDN);
        mpfr_tan(r23899, r23898, MPFR_RNDN);
        mpfr_set_d(r23900, F, MPFR_RNDN);
        mpfr_div(r23901, r23899, r23900, MPFR_RNDN);
        mpfr_div(r23902, r23901, r23900, MPFR_RNDN);
        mpfr_sub(r23903, r23898, r23902, MPFR_RNDN);
        return mpfr_get_d(r23903, MPFR_RNDN);
}

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

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2896);
        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_dm(double F, double l) {
        mpfr_set_d(r23904, l, MPFR_RNDN);
        mpfr_const_pi(r23905, MPFR_RNDN);
        mpfr_mul(r23906, r23904, r23905, MPFR_RNDN);
        mpfr_tan(r23907, r23906, MPFR_RNDN);
        mpfr_set_d(r23908, F, MPFR_RNDN);
        mpfr_div(r23909, r23907, r23908, MPFR_RNDN);
        mpfr_div(r23910, r23909, r23908, MPFR_RNDN);
        mpfr_sub(r23911, r23906, r23910, MPFR_RNDN);
        return mpfr_get_d(r23911, MPFR_RNDN);
}