#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 = 1;
        float r23874 = F;
        float r23875 = r23871 * r23870;
        float r23876 = r23874 / r23875;
        float r23877 = 1/3;
        float r23878 = r23874 * r23875;
        float r23879 = r23877 * r23878;
        float r23880 = r23876 - r23879;
        float r23881 = r23873 / r23880;
        float r23882 = r23881 / r23874;
        float r23883 = r23872 - r23882;
        return r23883;
}

double f_od(double F, double l) {
        double r23884 = l;
        double r23885 = atan2(1.0, 0.0);
        double r23886 = r23884 * r23885;
        double r23887 = 1;
        double r23888 = F;
        double r23889 = r23885 * r23884;
        double r23890 = r23888 / r23889;
        double r23891 = 1/3;
        double r23892 = r23888 * r23889;
        double r23893 = r23891 * r23892;
        double r23894 = r23890 - r23893;
        double r23895 = r23887 / r23894;
        double r23896 = r23895 / r23888;
        double r23897 = r23886 - r23896;
        return r23897;
}

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 r23898, r23899, r23900, r23901, r23902, r23903, r23904, r23905, r23906, r23907;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2896);
        mpfr_init(r23898);
        mpfr_init(r23899);
        mpfr_init(r23900);
        mpfr_init_set_str(r23901, "1", 10, MPFR_RNDN);
        mpfr_init(r23902);
        mpfr_init(r23903);
        mpfr_init(r23904);
        mpfr_init(r23905);
        mpfr_init(r23906);
        mpfr_init(r23907);
}

double f_im(double F, double l) {
        mpfr_const_pi(r23898, MPFR_RNDN);
        mpfr_set_d(r23899, l, MPFR_RNDN);
        mpfr_mul(r23900, r23898, r23899, MPFR_RNDN);
        ;
        mpfr_set_d(r23902, F, MPFR_RNDN);
        mpfr_mul(r23903, r23902, r23902, MPFR_RNDN);
        mpfr_div(r23904, r23901, r23903, MPFR_RNDN);
        mpfr_tan(r23905, r23900, MPFR_RNDN);
        mpfr_mul(r23906, r23904, r23905, MPFR_RNDN);
        mpfr_sub(r23907, r23900, r23906, MPFR_RNDN);
        return mpfr_get_d(r23907, MPFR_RNDN);
}

static mpfr_t r23908, r23909, r23910, r23911, r23912, r23913, r23914, r23915, r23916, r23917, r23918, r23919, r23920, r23921;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2896);
        mpfr_init(r23908);
        mpfr_init(r23909);
        mpfr_init(r23910);
        mpfr_init_set_str(r23911, "1", 10, MPFR_RNDN);
        mpfr_init(r23912);
        mpfr_init(r23913);
        mpfr_init(r23914);
        mpfr_init_set_str(r23915, "1/3", 10, MPFR_RNDN);
        mpfr_init(r23916);
        mpfr_init(r23917);
        mpfr_init(r23918);
        mpfr_init(r23919);
        mpfr_init(r23920);
        mpfr_init(r23921);
}

double f_fm(double F, double l) {
        mpfr_set_d(r23908, l, MPFR_RNDN);
        mpfr_const_pi(r23909, MPFR_RNDN);
        mpfr_mul(r23910, r23908, r23909, MPFR_RNDN);
        ;
        mpfr_set_d(r23912, F, MPFR_RNDN);
        mpfr_mul(r23913, r23909, r23908, MPFR_RNDN);
        mpfr_div(r23914, r23912, r23913, MPFR_RNDN);
        ;
        mpfr_mul(r23916, r23912, r23913, MPFR_RNDN);
        mpfr_mul(r23917, r23915, r23916, MPFR_RNDN);
        mpfr_sub(r23918, r23914, r23917, MPFR_RNDN);
        mpfr_div(r23919, r23911, r23918, MPFR_RNDN);
        mpfr_div(r23920, r23919, r23912, MPFR_RNDN);
        mpfr_sub(r23921, r23910, r23920, MPFR_RNDN);
        return mpfr_get_d(r23921, MPFR_RNDN);
}

static mpfr_t r23922, r23923, r23924, r23925, r23926, r23927, r23928, r23929, r23930, r23931, r23932, r23933, r23934, r23935;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2896);
        mpfr_init(r23922);
        mpfr_init(r23923);
        mpfr_init(r23924);
        mpfr_init_set_str(r23925, "1", 10, MPFR_RNDN);
        mpfr_init(r23926);
        mpfr_init(r23927);
        mpfr_init(r23928);
        mpfr_init_set_str(r23929, "1/3", 10, MPFR_RNDN);
        mpfr_init(r23930);
        mpfr_init(r23931);
        mpfr_init(r23932);
        mpfr_init(r23933);
        mpfr_init(r23934);
        mpfr_init(r23935);
}

double f_dm(double F, double l) {
        mpfr_set_d(r23922, l, MPFR_RNDN);
        mpfr_const_pi(r23923, MPFR_RNDN);
        mpfr_mul(r23924, r23922, r23923, MPFR_RNDN);
        ;
        mpfr_set_d(r23926, F, MPFR_RNDN);
        mpfr_mul(r23927, r23923, r23922, MPFR_RNDN);
        mpfr_div(r23928, r23926, r23927, MPFR_RNDN);
        ;
        mpfr_mul(r23930, r23926, r23927, MPFR_RNDN);
        mpfr_mul(r23931, r23929, r23930, MPFR_RNDN);
        mpfr_sub(r23932, r23928, r23931, MPFR_RNDN);
        mpfr_div(r23933, r23925, r23932, MPFR_RNDN);
        mpfr_div(r23934, r23933, r23926, MPFR_RNDN);
        mpfr_sub(r23935, r23924, r23934, MPFR_RNDN);
        return mpfr_get_d(r23935, MPFR_RNDN);
}