#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 r20413 = atan2(1.0, 0.0);
        float r20414 = l;
        float r20415 = r20413 * r20414;
        float r20416 = 1;
        float r20417 = F;
        float r20418 = r20417 * r20417;
        float r20419 = r20416 / r20418;
        float r20420 = tan(r20415);
        float r20421 = r20419 * r20420;
        float r20422 = r20415 - r20421;
        return r20422;
}

double f_id(double F, double l) {
        double r20423 = atan2(1.0, 0.0);
        double r20424 = l;
        double r20425 = r20423 * r20424;
        double r20426 = 1;
        double r20427 = F;
        double r20428 = r20427 * r20427;
        double r20429 = r20426 / r20428;
        double r20430 = tan(r20425);
        double r20431 = r20429 * r20430;
        double r20432 = r20425 - r20431;
        return r20432;
}


double f_of(float F, float l) {
        float r20433 = l;
        float r20434 = atan2(1.0, 0.0);
        float r20435 = r20433 * r20434;
        float r20436 = tan(r20435);
        float r20437 = F;
        float r20438 = r20436 / r20437;
        float r20439 = r20438 / r20437;
        float r20440 = r20435 - r20439;
        return r20440;
}

double f_od(double F, double l) {
        double r20441 = l;
        double r20442 = atan2(1.0, 0.0);
        double r20443 = r20441 * r20442;
        double r20444 = tan(r20443);
        double r20445 = F;
        double r20446 = r20444 / r20445;
        double r20447 = r20446 / r20445;
        double r20448 = r20443 - r20447;
        return r20448;
}

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 r20449, r20450, r20451, r20452, r20453, r20454, r20455, r20456, r20457, r20458;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(3728);
        mpfr_init(r20449);
        mpfr_init(r20450);
        mpfr_init(r20451);
        mpfr_init_set_str(r20452, "1", 10, MPFR_RNDN);
        mpfr_init(r20453);
        mpfr_init(r20454);
        mpfr_init(r20455);
        mpfr_init(r20456);
        mpfr_init(r20457);
        mpfr_init(r20458);
}

double f_im(double F, double l) {
        mpfr_const_pi(r20449, MPFR_RNDN);
        mpfr_set_d(r20450, l, MPFR_RNDN);
        mpfr_mul(r20451, r20449, r20450, MPFR_RNDN);
        ;
        mpfr_set_d(r20453, F, MPFR_RNDN);
        mpfr_mul(r20454, r20453, r20453, MPFR_RNDN);
        mpfr_div(r20455, r20452, r20454, MPFR_RNDN);
        mpfr_tan(r20456, r20451, MPFR_RNDN);
        mpfr_mul(r20457, r20455, r20456, MPFR_RNDN);
        mpfr_sub(r20458, r20451, r20457, MPFR_RNDN);
        return mpfr_get_d(r20458, MPFR_RNDN);
}

static mpfr_t r20459, r20460, r20461, r20462, r20463, r20464, r20465, r20466;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(3728);
        mpfr_init(r20459);
        mpfr_init(r20460);
        mpfr_init(r20461);
        mpfr_init(r20462);
        mpfr_init(r20463);
        mpfr_init(r20464);
        mpfr_init(r20465);
        mpfr_init(r20466);
}

double f_fm(double F, double l) {
        mpfr_set_d(r20459, l, MPFR_RNDN);
        mpfr_const_pi(r20460, MPFR_RNDN);
        mpfr_mul(r20461, r20459, r20460, MPFR_RNDN);
        mpfr_tan(r20462, r20461, MPFR_RNDN);
        mpfr_set_d(r20463, F, MPFR_RNDN);
        mpfr_div(r20464, r20462, r20463, MPFR_RNDN);
        mpfr_div(r20465, r20464, r20463, MPFR_RNDN);
        mpfr_sub(r20466, r20461, r20465, MPFR_RNDN);
        return mpfr_get_d(r20466, MPFR_RNDN);
}

static mpfr_t r20467, r20468, r20469, r20470, r20471, r20472, r20473, r20474;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(3728);
        mpfr_init(r20467);
        mpfr_init(r20468);
        mpfr_init(r20469);
        mpfr_init(r20470);
        mpfr_init(r20471);
        mpfr_init(r20472);
        mpfr_init(r20473);
        mpfr_init(r20474);
}

double f_dm(double F, double l) {
        mpfr_set_d(r20467, l, MPFR_RNDN);
        mpfr_const_pi(r20468, MPFR_RNDN);
        mpfr_mul(r20469, r20467, r20468, MPFR_RNDN);
        mpfr_tan(r20470, r20469, MPFR_RNDN);
        mpfr_set_d(r20471, F, MPFR_RNDN);
        mpfr_div(r20472, r20470, r20471, MPFR_RNDN);
        mpfr_div(r20473, r20472, r20471, MPFR_RNDN);
        mpfr_sub(r20474, r20469, r20473, MPFR_RNDN);
        return mpfr_get_d(r20474, MPFR_RNDN);
}