#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 r7443 = atan2(1.0, 0.0);
        float r7444 = l;
        float r7445 = r7443 * r7444;
        float r7446 = 1.0f;
        float r7447 = F;
        float r7448 = r7447 * r7447;
        float r7449 = r7446 / r7448;
        float r7450 = tan(r7445);
        float r7451 = r7449 * r7450;
        float r7452 = r7445 - r7451;
        return r7452;
}

double f_id(double F, double l) {
        double r7453 = atan2(1.0, 0.0);
        double r7454 = l;
        double r7455 = r7453 * r7454;
        double r7456 = 1.0;
        double r7457 = F;
        double r7458 = r7457 * r7457;
        double r7459 = r7456 / r7458;
        double r7460 = tan(r7455);
        double r7461 = r7459 * r7460;
        double r7462 = r7455 - r7461;
        return r7462;
}


double f_of(float F, float l) {
        float r7463 = atan2(1.0, 0.0);
        float r7464 = l;
        float r7465 = r7463 * r7464;
        float r7466 = 1.0f;
        float r7467 = F;
        float r7468 = r7467 / r7465;
        float r7469 = r7467 * r7465;
        float r7470 = 0.3333333333333333f;
        float r7471 = r7469 * r7470;
        float r7472 = r7468 - r7471;
        float r7473 = r7466 / r7472;
        float r7474 = r7473 / r7467;
        float r7475 = r7465 - r7474;
        return r7475;
}

double f_od(double F, double l) {
        double r7476 = atan2(1.0, 0.0);
        double r7477 = l;
        double r7478 = r7476 * r7477;
        double r7479 = 1.0;
        double r7480 = F;
        double r7481 = r7480 / r7478;
        double r7482 = r7480 * r7478;
        double r7483 = 0.3333333333333333;
        double r7484 = r7482 * r7483;
        double r7485 = r7481 - r7484;
        double r7486 = r7479 / r7485;
        double r7487 = r7486 / r7480;
        double r7488 = r7478 - r7487;
        return r7488;
}

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 r7489, r7490, r7491, r7492, r7493, r7494, r7495, r7496, r7497, r7498;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(3408);
        mpfr_init(r7489);
        mpfr_init(r7490);
        mpfr_init(r7491);
        mpfr_init_set_str(r7492, "1", 10, MPFR_RNDN);
        mpfr_init(r7493);
        mpfr_init(r7494);
        mpfr_init(r7495);
        mpfr_init(r7496);
        mpfr_init(r7497);
        mpfr_init(r7498);
}

double f_im(double F, double l) {
        mpfr_const_pi(r7489, MPFR_RNDN);
        mpfr_set_d(r7490, l, MPFR_RNDN);
        mpfr_mul(r7491, r7489, r7490, MPFR_RNDN);
        ;
        mpfr_set_d(r7493, F, MPFR_RNDN);
        mpfr_mul(r7494, r7493, r7493, MPFR_RNDN);
        mpfr_div(r7495, r7492, r7494, MPFR_RNDN);
        mpfr_tan(r7496, r7491, MPFR_RNDN);
        mpfr_mul(r7497, r7495, r7496, MPFR_RNDN);
        mpfr_sub(r7498, r7491, r7497, MPFR_RNDN);
        return mpfr_get_d(r7498, MPFR_RNDN);
}

static mpfr_t r7499, r7500, r7501, r7502, r7503, r7504, r7505, r7506, r7507, r7508, r7509, r7510, r7511;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(3408);
        mpfr_init(r7499);
        mpfr_init(r7500);
        mpfr_init(r7501);
        mpfr_init_set_str(r7502, "1", 10, MPFR_RNDN);
        mpfr_init(r7503);
        mpfr_init(r7504);
        mpfr_init(r7505);
        mpfr_init_set_str(r7506, "1/3", 10, MPFR_RNDN);
        mpfr_init(r7507);
        mpfr_init(r7508);
        mpfr_init(r7509);
        mpfr_init(r7510);
        mpfr_init(r7511);
}

double f_fm(double F, double l) {
        mpfr_const_pi(r7499, MPFR_RNDN);
        mpfr_set_d(r7500, l, MPFR_RNDN);
        mpfr_mul(r7501, r7499, r7500, MPFR_RNDN);
        ;
        mpfr_set_d(r7503, F, MPFR_RNDN);
        mpfr_div(r7504, r7503, r7501, MPFR_RNDN);
        mpfr_mul(r7505, r7503, r7501, MPFR_RNDN);
        ;
        mpfr_mul(r7507, r7505, r7506, MPFR_RNDN);
        mpfr_sub(r7508, r7504, r7507, MPFR_RNDN);
        mpfr_div(r7509, r7502, r7508, MPFR_RNDN);
        mpfr_div(r7510, r7509, r7503, MPFR_RNDN);
        mpfr_sub(r7511, r7501, r7510, MPFR_RNDN);
        return mpfr_get_d(r7511, MPFR_RNDN);
}

static mpfr_t r7512, r7513, r7514, r7515, r7516, r7517, r7518, r7519, r7520, r7521, r7522, r7523, r7524;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(3408);
        mpfr_init(r7512);
        mpfr_init(r7513);
        mpfr_init(r7514);
        mpfr_init_set_str(r7515, "1", 10, MPFR_RNDN);
        mpfr_init(r7516);
        mpfr_init(r7517);
        mpfr_init(r7518);
        mpfr_init_set_str(r7519, "1/3", 10, MPFR_RNDN);
        mpfr_init(r7520);
        mpfr_init(r7521);
        mpfr_init(r7522);
        mpfr_init(r7523);
        mpfr_init(r7524);
}

double f_dm(double F, double l) {
        mpfr_const_pi(r7512, MPFR_RNDN);
        mpfr_set_d(r7513, l, MPFR_RNDN);
        mpfr_mul(r7514, r7512, r7513, MPFR_RNDN);
        ;
        mpfr_set_d(r7516, F, MPFR_RNDN);
        mpfr_div(r7517, r7516, r7514, MPFR_RNDN);
        mpfr_mul(r7518, r7516, r7514, MPFR_RNDN);
        ;
        mpfr_mul(r7520, r7518, r7519, MPFR_RNDN);
        mpfr_sub(r7521, r7517, r7520, MPFR_RNDN);
        mpfr_div(r7522, r7515, r7521, MPFR_RNDN);
        mpfr_div(r7523, r7522, r7516, MPFR_RNDN);
        mpfr_sub(r7524, r7514, r7523, MPFR_RNDN);
        return mpfr_get_d(r7524, MPFR_RNDN);
}