#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 = atan2(1.0, 0.0);
        float r21220 = l;
        float r21221 = r21219 * r21220;
        float r21222 = 1;
        float r21223 = F;
        float r21224 = r21222 / r21223;
        float r21225 = r21223 / r21221;
        float r21226 = r21219 * r21223;
        float r21227 = 1/3;
        float r21228 = r21227 * r21220;
        float r21229 = exp(r21228);
        float r21230 = log(r21229);
        float r21231 = r21226 * r21230;
        float r21232 = r21225 - r21231;
        float r21233 = r21224 / r21232;
        float r21234 = r21221 - r21233;
        return r21234;
}

double f_od(double F, double l) {
        double r21235 = atan2(1.0, 0.0);
        double r21236 = l;
        double r21237 = r21235 * r21236;
        double r21238 = 1;
        double r21239 = F;
        double r21240 = r21238 / r21239;
        double r21241 = r21239 / r21237;
        double r21242 = r21235 * r21239;
        double r21243 = 1/3;
        double r21244 = r21243 * r21236;
        double r21245 = exp(r21244);
        double r21246 = log(r21245);
        double r21247 = r21242 * r21246;
        double r21248 = r21241 - r21247;
        double r21249 = r21240 / r21248;
        double r21250 = r21237 - r21249;
        return r21250;
}

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 r21251, r21252, r21253, r21254, r21255, r21256, r21257, r21258, r21259, r21260;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(3216);
        mpfr_init(r21251);
        mpfr_init(r21252);
        mpfr_init(r21253);
        mpfr_init_set_str(r21254, "1", 10, MPFR_RNDN);
        mpfr_init(r21255);
        mpfr_init(r21256);
        mpfr_init(r21257);
        mpfr_init(r21258);
        mpfr_init(r21259);
        mpfr_init(r21260);
}

double f_im(double F, double l) {
        mpfr_const_pi(r21251, MPFR_RNDN);
        mpfr_set_d(r21252, l, MPFR_RNDN);
        mpfr_mul(r21253, r21251, r21252, MPFR_RNDN);
        ;
        mpfr_set_d(r21255, F, MPFR_RNDN);
        mpfr_mul(r21256, r21255, r21255, MPFR_RNDN);
        mpfr_div(r21257, r21254, r21256, MPFR_RNDN);
        mpfr_tan(r21258, r21253, MPFR_RNDN);
        mpfr_mul(r21259, r21257, r21258, MPFR_RNDN);
        mpfr_sub(r21260, r21253, r21259, MPFR_RNDN);
        return mpfr_get_d(r21260, MPFR_RNDN);
}

static mpfr_t r21261, r21262, r21263, r21264, r21265, r21266, r21267, r21268, r21269, r21270, r21271, r21272, r21273, r21274, r21275, r21276;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(3216);
        mpfr_init(r21261);
        mpfr_init(r21262);
        mpfr_init(r21263);
        mpfr_init_set_str(r21264, "1", 10, MPFR_RNDN);
        mpfr_init(r21265);
        mpfr_init(r21266);
        mpfr_init(r21267);
        mpfr_init(r21268);
        mpfr_init_set_str(r21269, "1/3", 10, MPFR_RNDN);
        mpfr_init(r21270);
        mpfr_init(r21271);
        mpfr_init(r21272);
        mpfr_init(r21273);
        mpfr_init(r21274);
        mpfr_init(r21275);
        mpfr_init(r21276);
}

double f_fm(double F, double l) {
        mpfr_const_pi(r21261, MPFR_RNDN);
        mpfr_set_d(r21262, l, MPFR_RNDN);
        mpfr_mul(r21263, r21261, r21262, MPFR_RNDN);
        ;
        mpfr_set_d(r21265, F, MPFR_RNDN);
        mpfr_div(r21266, r21264, r21265, MPFR_RNDN);
        mpfr_div(r21267, r21265, r21263, MPFR_RNDN);
        mpfr_mul(r21268, r21261, r21265, MPFR_RNDN);
        ;
        mpfr_mul(r21270, r21269, r21262, MPFR_RNDN);
        mpfr_exp(r21271, r21270, MPFR_RNDN);
        mpfr_log(r21272, r21271, MPFR_RNDN);
        mpfr_mul(r21273, r21268, r21272, MPFR_RNDN);
        mpfr_sub(r21274, r21267, r21273, MPFR_RNDN);
        mpfr_div(r21275, r21266, r21274, MPFR_RNDN);
        mpfr_sub(r21276, r21263, r21275, MPFR_RNDN);
        return mpfr_get_d(r21276, MPFR_RNDN);
}

static mpfr_t r21277, r21278, r21279, r21280, r21281, r21282, r21283, r21284, r21285, r21286, r21287, r21288, r21289, r21290, r21291, r21292;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(3216);
        mpfr_init(r21277);
        mpfr_init(r21278);
        mpfr_init(r21279);
        mpfr_init_set_str(r21280, "1", 10, MPFR_RNDN);
        mpfr_init(r21281);
        mpfr_init(r21282);
        mpfr_init(r21283);
        mpfr_init(r21284);
        mpfr_init_set_str(r21285, "1/3", 10, MPFR_RNDN);
        mpfr_init(r21286);
        mpfr_init(r21287);
        mpfr_init(r21288);
        mpfr_init(r21289);
        mpfr_init(r21290);
        mpfr_init(r21291);
        mpfr_init(r21292);
}

double f_dm(double F, double l) {
        mpfr_const_pi(r21277, MPFR_RNDN);
        mpfr_set_d(r21278, l, MPFR_RNDN);
        mpfr_mul(r21279, r21277, r21278, MPFR_RNDN);
        ;
        mpfr_set_d(r21281, F, MPFR_RNDN);
        mpfr_div(r21282, r21280, r21281, MPFR_RNDN);
        mpfr_div(r21283, r21281, r21279, MPFR_RNDN);
        mpfr_mul(r21284, r21277, r21281, MPFR_RNDN);
        ;
        mpfr_mul(r21286, r21285, r21278, MPFR_RNDN);
        mpfr_exp(r21287, r21286, MPFR_RNDN);
        mpfr_log(r21288, r21287, MPFR_RNDN);
        mpfr_mul(r21289, r21284, r21288, MPFR_RNDN);
        mpfr_sub(r21290, r21283, r21289, MPFR_RNDN);
        mpfr_div(r21291, r21282, r21290, MPFR_RNDN);
        mpfr_sub(r21292, r21279, r21291, MPFR_RNDN);
        return mpfr_get_d(r21292, MPFR_RNDN);
}