#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 r23916 = atan2(1.0, 0.0);
        float r23917 = l;
        float r23918 = r23916 * r23917;
        float r23919 = 1;
        float r23920 = F;
        float r23921 = r23920 * r23920;
        float r23922 = r23919 / r23921;
        float r23923 = tan(r23918);
        float r23924 = r23922 * r23923;
        float r23925 = r23918 - r23924;
        return r23925;
}

double f_id(double F, double l) {
        double r23926 = atan2(1.0, 0.0);
        double r23927 = l;
        double r23928 = r23926 * r23927;
        double r23929 = 1;
        double r23930 = F;
        double r23931 = r23930 * r23930;
        double r23932 = r23929 / r23931;
        double r23933 = tan(r23928);
        double r23934 = r23932 * r23933;
        double r23935 = r23928 - r23934;
        return r23935;
}


double f_of(float F, float l) {
        float r23936 = l;
        float r23937 = atan2(1.0, 0.0);
        float r23938 = r23936 * r23937;
        float r23939 = tan(r23938);
        float r23940 = F;
        float r23941 = r23939 / r23940;
        float r23942 = r23941 / r23940;
        float r23943 = r23938 - r23942;
        return r23943;
}

double f_od(double F, double l) {
        double r23944 = l;
        double r23945 = atan2(1.0, 0.0);
        double r23946 = r23944 * r23945;
        double r23947 = tan(r23946);
        double r23948 = F;
        double r23949 = r23947 / r23948;
        double r23950 = r23949 / r23948;
        double r23951 = r23946 - r23950;
        return r23951;
}

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 r23952, r23953, r23954, r23955, r23956, r23957, r23958, r23959, r23960, r23961;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(3152);
        mpfr_init(r23952);
        mpfr_init(r23953);
        mpfr_init(r23954);
        mpfr_init_set_str(r23955, "1", 10, MPFR_RNDN);
        mpfr_init(r23956);
        mpfr_init(r23957);
        mpfr_init(r23958);
        mpfr_init(r23959);
        mpfr_init(r23960);
        mpfr_init(r23961);
}

double f_im(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_set_d(r23956, F, MPFR_RNDN);
        mpfr_mul(r23957, r23956, r23956, MPFR_RNDN);
        mpfr_div(r23958, r23955, r23957, MPFR_RNDN);
        mpfr_tan(r23959, r23954, MPFR_RNDN);
        mpfr_mul(r23960, r23958, r23959, MPFR_RNDN);
        mpfr_sub(r23961, r23954, r23960, MPFR_RNDN);
        return mpfr_get_d(r23961, MPFR_RNDN);
}

static mpfr_t r23962, r23963, r23964, r23965, r23966, r23967, r23968, r23969;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(3152);
        mpfr_init(r23962);
        mpfr_init(r23963);
        mpfr_init(r23964);
        mpfr_init(r23965);
        mpfr_init(r23966);
        mpfr_init(r23967);
        mpfr_init(r23968);
        mpfr_init(r23969);
}

double f_fm(double F, double l) {
        mpfr_set_d(r23962, l, MPFR_RNDN);
        mpfr_const_pi(r23963, MPFR_RNDN);
        mpfr_mul(r23964, r23962, r23963, MPFR_RNDN);
        mpfr_tan(r23965, r23964, MPFR_RNDN);
        mpfr_set_d(r23966, F, MPFR_RNDN);
        mpfr_div(r23967, r23965, r23966, MPFR_RNDN);
        mpfr_div(r23968, r23967, r23966, MPFR_RNDN);
        mpfr_sub(r23969, r23964, r23968, MPFR_RNDN);
        return mpfr_get_d(r23969, MPFR_RNDN);
}

static mpfr_t r23970, r23971, r23972, r23973, r23974, r23975, r23976, r23977;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(3152);
        mpfr_init(r23970);
        mpfr_init(r23971);
        mpfr_init(r23972);
        mpfr_init(r23973);
        mpfr_init(r23974);
        mpfr_init(r23975);
        mpfr_init(r23976);
        mpfr_init(r23977);
}

double f_dm(double F, double l) {
        mpfr_set_d(r23970, l, MPFR_RNDN);
        mpfr_const_pi(r23971, MPFR_RNDN);
        mpfr_mul(r23972, r23970, r23971, MPFR_RNDN);
        mpfr_tan(r23973, r23972, MPFR_RNDN);
        mpfr_set_d(r23974, F, MPFR_RNDN);
        mpfr_div(r23975, r23973, r23974, MPFR_RNDN);
        mpfr_div(r23976, r23975, r23974, MPFR_RNDN);
        mpfr_sub(r23977, r23972, r23976, MPFR_RNDN);
        return mpfr_get_d(r23977, MPFR_RNDN);
}