#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 r21199 = atan2(1.0, 0.0);
        float r21200 = l;
        float r21201 = r21199 * r21200;
        float r21202 = 1;
        float r21203 = F;
        float r21204 = r21203 * r21203;
        float r21205 = r21202 / r21204;
        float r21206 = tan(r21201);
        float r21207 = r21205 * r21206;
        float r21208 = r21201 - r21207;
        return r21208;
}

double f_id(double F, double l) {
        double r21209 = atan2(1.0, 0.0);
        double r21210 = l;
        double r21211 = r21209 * r21210;
        double r21212 = 1;
        double r21213 = F;
        double r21214 = r21213 * r21213;
        double r21215 = r21212 / r21214;
        double r21216 = tan(r21211);
        double r21217 = r21215 * r21216;
        double r21218 = r21211 - r21217;
        return r21218;
}


double f_of(float F, float l) {
        float r21219 = l;
        float r21220 = atan2(1.0, 0.0);
        float r21221 = r21219 * r21220;
        float r21222 = tan(r21221);
        float r21223 = 1;
        float r21224 = F;
        float r21225 = r21223 / r21224;
        float r21226 = r21222 * r21225;
        float r21227 = r21226 / r21224;
        float r21228 = r21221 - r21227;
        return r21228;
}

double f_od(double F, double l) {
        double r21229 = l;
        double r21230 = atan2(1.0, 0.0);
        double r21231 = r21229 * r21230;
        double r21232 = tan(r21231);
        double r21233 = 1;
        double r21234 = F;
        double r21235 = r21233 / r21234;
        double r21236 = r21232 * r21235;
        double r21237 = r21236 / r21234;
        double r21238 = r21231 - r21237;
        return r21238;
}

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 r21239, r21240, r21241, r21242, r21243, r21244, r21245, r21246, r21247, r21248;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2448);
        mpfr_init(r21239);
        mpfr_init(r21240);
        mpfr_init(r21241);
        mpfr_init_set_str(r21242, "1", 10, MPFR_RNDN);
        mpfr_init(r21243);
        mpfr_init(r21244);
        mpfr_init(r21245);
        mpfr_init(r21246);
        mpfr_init(r21247);
        mpfr_init(r21248);
}

double f_im(double F, double l) {
        mpfr_const_pi(r21239, MPFR_RNDN);
        mpfr_set_d(r21240, l, MPFR_RNDN);
        mpfr_mul(r21241, r21239, r21240, MPFR_RNDN);
        ;
        mpfr_set_d(r21243, F, MPFR_RNDN);
        mpfr_mul(r21244, r21243, r21243, MPFR_RNDN);
        mpfr_div(r21245, r21242, r21244, MPFR_RNDN);
        mpfr_tan(r21246, r21241, MPFR_RNDN);
        mpfr_mul(r21247, r21245, r21246, MPFR_RNDN);
        mpfr_sub(r21248, r21241, r21247, MPFR_RNDN);
        return mpfr_get_d(r21248, MPFR_RNDN);
}

static mpfr_t r21249, r21250, r21251, r21252, r21253, r21254, r21255, r21256, r21257, r21258;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2448);
        mpfr_init(r21249);
        mpfr_init(r21250);
        mpfr_init(r21251);
        mpfr_init(r21252);
        mpfr_init_set_str(r21253, "1", 10, MPFR_RNDN);
        mpfr_init(r21254);
        mpfr_init(r21255);
        mpfr_init(r21256);
        mpfr_init(r21257);
        mpfr_init(r21258);
}

double f_fm(double F, double l) {
        mpfr_set_d(r21249, l, MPFR_RNDN);
        mpfr_const_pi(r21250, MPFR_RNDN);
        mpfr_mul(r21251, r21249, r21250, MPFR_RNDN);
        mpfr_tan(r21252, r21251, MPFR_RNDN);
        ;
        mpfr_set_d(r21254, F, MPFR_RNDN);
        mpfr_div(r21255, r21253, r21254, MPFR_RNDN);
        mpfr_mul(r21256, r21252, r21255, MPFR_RNDN);
        mpfr_div(r21257, r21256, r21254, MPFR_RNDN);
        mpfr_sub(r21258, r21251, r21257, MPFR_RNDN);
        return mpfr_get_d(r21258, MPFR_RNDN);
}

static mpfr_t r21259, r21260, r21261, r21262, r21263, r21264, r21265, r21266, r21267, r21268;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2448);
        mpfr_init(r21259);
        mpfr_init(r21260);
        mpfr_init(r21261);
        mpfr_init(r21262);
        mpfr_init_set_str(r21263, "1", 10, MPFR_RNDN);
        mpfr_init(r21264);
        mpfr_init(r21265);
        mpfr_init(r21266);
        mpfr_init(r21267);
        mpfr_init(r21268);
}

double f_dm(double F, double l) {
        mpfr_set_d(r21259, l, MPFR_RNDN);
        mpfr_const_pi(r21260, MPFR_RNDN);
        mpfr_mul(r21261, r21259, r21260, MPFR_RNDN);
        mpfr_tan(r21262, r21261, MPFR_RNDN);
        ;
        mpfr_set_d(r21264, F, MPFR_RNDN);
        mpfr_div(r21265, r21263, r21264, MPFR_RNDN);
        mpfr_mul(r21266, r21262, r21265, MPFR_RNDN);
        mpfr_div(r21267, r21266, r21264, MPFR_RNDN);
        mpfr_sub(r21268, r21261, r21267, MPFR_RNDN);
        return mpfr_get_d(r21268, MPFR_RNDN);
}