#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 r23894 = atan2(1.0, 0.0);
        float r23895 = l;
        float r23896 = r23894 * r23895;
        float r23897 = 1;
        float r23898 = F;
        float r23899 = r23898 * r23898;
        float r23900 = r23897 / r23899;
        float r23901 = tan(r23896);
        float r23902 = r23900 * r23901;
        float r23903 = r23896 - r23902;
        return r23903;
}

double f_id(double F, double l) {
        double r23904 = atan2(1.0, 0.0);
        double r23905 = l;
        double r23906 = r23904 * r23905;
        double r23907 = 1;
        double r23908 = F;
        double r23909 = r23908 * r23908;
        double r23910 = r23907 / r23909;
        double r23911 = tan(r23906);
        double r23912 = r23910 * r23911;
        double r23913 = r23906 - r23912;
        return r23913;
}


double f_of(float F, float l) {
        float r23914 = atan2(1.0, 0.0);
        float r23915 = l;
        float r23916 = r23914 * r23915;
        float r23917 = sin(r23916);
        float r23918 = cos(r23916);
        float r23919 = r23917 / r23918;
        float r23920 = cbrt(r23919);
        float r23921 = tan(r23916);
        float r23922 = cbrt(r23921);
        float r23923 = F;
        float r23924 = r23922 / r23923;
        float r23925 = r23920 * r23924;
        float r23926 = r23925 * r23924;
        float r23927 = r23916 - r23926;
        return r23927;
}

double f_od(double F, double l) {
        double r23928 = atan2(1.0, 0.0);
        double r23929 = l;
        double r23930 = r23928 * r23929;
        double r23931 = sin(r23930);
        double r23932 = cos(r23930);
        double r23933 = r23931 / r23932;
        double r23934 = cbrt(r23933);
        double r23935 = tan(r23930);
        double r23936 = cbrt(r23935);
        double r23937 = F;
        double r23938 = r23936 / r23937;
        double r23939 = r23934 * r23938;
        double r23940 = r23939 * r23938;
        double r23941 = r23930 - r23940;
        return r23941;
}

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 r23942, r23943, r23944, r23945, r23946, r23947, r23948, r23949, r23950, r23951;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(3920);
        mpfr_init(r23942);
        mpfr_init(r23943);
        mpfr_init(r23944);
        mpfr_init_set_str(r23945, "1", 10, MPFR_RNDN);
        mpfr_init(r23946);
        mpfr_init(r23947);
        mpfr_init(r23948);
        mpfr_init(r23949);
        mpfr_init(r23950);
        mpfr_init(r23951);
}

double f_im(double F, double l) {
        mpfr_const_pi(r23942, MPFR_RNDN);
        mpfr_set_d(r23943, l, MPFR_RNDN);
        mpfr_mul(r23944, r23942, r23943, MPFR_RNDN);
        ;
        mpfr_set_d(r23946, F, MPFR_RNDN);
        mpfr_mul(r23947, r23946, r23946, MPFR_RNDN);
        mpfr_div(r23948, r23945, r23947, MPFR_RNDN);
        mpfr_tan(r23949, r23944, MPFR_RNDN);
        mpfr_mul(r23950, r23948, r23949, MPFR_RNDN);
        mpfr_sub(r23951, r23944, r23950, MPFR_RNDN);
        return mpfr_get_d(r23951, MPFR_RNDN);
}

static mpfr_t r23952, r23953, r23954, r23955, r23956, r23957, r23958, r23959, r23960, r23961, r23962, r23963, r23964, r23965;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(3920);
        mpfr_init(r23952);
        mpfr_init(r23953);
        mpfr_init(r23954);
        mpfr_init(r23955);
        mpfr_init(r23956);
        mpfr_init(r23957);
        mpfr_init(r23958);
        mpfr_init(r23959);
        mpfr_init(r23960);
        mpfr_init(r23961);
        mpfr_init(r23962);
        mpfr_init(r23963);
        mpfr_init(r23964);
        mpfr_init(r23965);
}

double f_fm(double F, double l) {
        mpfr_const_pi(r23952, MPFR_RNDN);
        mpfr_set_d(r23953, l, MPFR_RNDN);
        mpfr_mul(r23954, r23952, r23953, MPFR_RNDN);
        mpfr_sin(r23955, r23954, MPFR_RNDN);
        mpfr_cos(r23956, r23954, MPFR_RNDN);
        mpfr_div(r23957, r23955, r23956, MPFR_RNDN);
        mpfr_cbrt(r23958, r23957, MPFR_RNDN);
        mpfr_tan(r23959, r23954, MPFR_RNDN);
        mpfr_cbrt(r23960, r23959, MPFR_RNDN);
        mpfr_set_d(r23961, F, MPFR_RNDN);
        mpfr_div(r23962, r23960, r23961, MPFR_RNDN);
        mpfr_mul(r23963, r23958, r23962, MPFR_RNDN);
        mpfr_mul(r23964, r23963, r23962, MPFR_RNDN);
        mpfr_sub(r23965, r23954, r23964, MPFR_RNDN);
        return mpfr_get_d(r23965, MPFR_RNDN);
}

static mpfr_t r23966, r23967, r23968, r23969, r23970, r23971, r23972, r23973, r23974, r23975, r23976, r23977, r23978, r23979;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(3920);
        mpfr_init(r23966);
        mpfr_init(r23967);
        mpfr_init(r23968);
        mpfr_init(r23969);
        mpfr_init(r23970);
        mpfr_init(r23971);
        mpfr_init(r23972);
        mpfr_init(r23973);
        mpfr_init(r23974);
        mpfr_init(r23975);
        mpfr_init(r23976);
        mpfr_init(r23977);
        mpfr_init(r23978);
        mpfr_init(r23979);
}

double f_dm(double F, double l) {
        mpfr_const_pi(r23966, MPFR_RNDN);
        mpfr_set_d(r23967, l, MPFR_RNDN);
        mpfr_mul(r23968, r23966, r23967, MPFR_RNDN);
        mpfr_sin(r23969, r23968, MPFR_RNDN);
        mpfr_cos(r23970, r23968, MPFR_RNDN);
        mpfr_div(r23971, r23969, r23970, MPFR_RNDN);
        mpfr_cbrt(r23972, r23971, MPFR_RNDN);
        mpfr_tan(r23973, r23968, MPFR_RNDN);
        mpfr_cbrt(r23974, r23973, MPFR_RNDN);
        mpfr_set_d(r23975, F, MPFR_RNDN);
        mpfr_div(r23976, r23974, r23975, MPFR_RNDN);
        mpfr_mul(r23977, r23972, r23976, MPFR_RNDN);
        mpfr_mul(r23978, r23977, r23976, MPFR_RNDN);
        mpfr_sub(r23979, r23968, r23978, MPFR_RNDN);
        return mpfr_get_d(r23979, MPFR_RNDN);
}