#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 = sin(r7465);
        float r7467 = cbrt(r7463);
        float r7468 = cbrt(r7464);
        float r7469 = r7467 * r7468;
        float r7470 = cbrt(r7465);
        float r7471 = r7470 * r7470;
        float r7472 = r7469 * r7471;
        float r7473 = cos(r7472);
        float r7474 = F;
        float r7475 = 2.0f;
        float r7476 = pow(r7474, r7475);
        float r7477 = r7473 * r7476;
        float r7478 = r7466 / r7477;
        float r7479 = r7465 - r7478;
        return r7479;
}

double f_od(double F, double l) {
        double r7480 = atan2(1.0, 0.0);
        double r7481 = l;
        double r7482 = r7480 * r7481;
        double r7483 = sin(r7482);
        double r7484 = cbrt(r7480);
        double r7485 = cbrt(r7481);
        double r7486 = r7484 * r7485;
        double r7487 = cbrt(r7482);
        double r7488 = r7487 * r7487;
        double r7489 = r7486 * r7488;
        double r7490 = cos(r7489);
        double r7491 = F;
        double r7492 = 2.0;
        double r7493 = pow(r7491, r7492);
        double r7494 = r7490 * r7493;
        double r7495 = r7483 / r7494;
        double r7496 = r7482 - r7495;
        return r7496;
}

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 r7497, r7498, r7499, r7500, r7501, r7502, r7503, r7504, r7505, r7506;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(3408);
        mpfr_init(r7497);
        mpfr_init(r7498);
        mpfr_init(r7499);
        mpfr_init_set_str(r7500, "1", 10, MPFR_RNDN);
        mpfr_init(r7501);
        mpfr_init(r7502);
        mpfr_init(r7503);
        mpfr_init(r7504);
        mpfr_init(r7505);
        mpfr_init(r7506);
}

double f_im(double F, double l) {
        mpfr_const_pi(r7497, MPFR_RNDN);
        mpfr_set_d(r7498, l, MPFR_RNDN);
        mpfr_mul(r7499, r7497, r7498, MPFR_RNDN);
        ;
        mpfr_set_d(r7501, F, MPFR_RNDN);
        mpfr_mul(r7502, r7501, r7501, MPFR_RNDN);
        mpfr_div(r7503, r7500, r7502, MPFR_RNDN);
        mpfr_tan(r7504, r7499, MPFR_RNDN);
        mpfr_mul(r7505, r7503, r7504, MPFR_RNDN);
        mpfr_sub(r7506, r7499, r7505, MPFR_RNDN);
        return mpfr_get_d(r7506, MPFR_RNDN);
}

static mpfr_t r7507, r7508, r7509, r7510, r7511, r7512, r7513, r7514, r7515, r7516, r7517, r7518, r7519, r7520, r7521, r7522, r7523;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(3408);
        mpfr_init(r7507);
        mpfr_init(r7508);
        mpfr_init(r7509);
        mpfr_init(r7510);
        mpfr_init(r7511);
        mpfr_init(r7512);
        mpfr_init(r7513);
        mpfr_init(r7514);
        mpfr_init(r7515);
        mpfr_init(r7516);
        mpfr_init(r7517);
        mpfr_init(r7518);
        mpfr_init_set_str(r7519, "2", 10, MPFR_RNDN);
        mpfr_init(r7520);
        mpfr_init(r7521);
        mpfr_init(r7522);
        mpfr_init(r7523);
}

double f_fm(double F, double l) {
        mpfr_const_pi(r7507, MPFR_RNDN);
        mpfr_set_d(r7508, l, MPFR_RNDN);
        mpfr_mul(r7509, r7507, r7508, MPFR_RNDN);
        mpfr_sin(r7510, r7509, MPFR_RNDN);
        mpfr_cbrt(r7511, r7507, MPFR_RNDN);
        mpfr_cbrt(r7512, r7508, MPFR_RNDN);
        mpfr_mul(r7513, r7511, r7512, MPFR_RNDN);
        mpfr_cbrt(r7514, r7509, MPFR_RNDN);
        mpfr_mul(r7515, r7514, r7514, MPFR_RNDN);
        mpfr_mul(r7516, r7513, r7515, MPFR_RNDN);
        mpfr_cos(r7517, r7516, MPFR_RNDN);
        mpfr_set_d(r7518, F, MPFR_RNDN);
        ;
        mpfr_pow(r7520, r7518, r7519, MPFR_RNDN);
        mpfr_mul(r7521, r7517, r7520, MPFR_RNDN);
        mpfr_div(r7522, r7510, r7521, MPFR_RNDN);
        mpfr_sub(r7523, r7509, r7522, MPFR_RNDN);
        return mpfr_get_d(r7523, MPFR_RNDN);
}

static mpfr_t r7524, r7525, r7526, r7527, r7528, r7529, r7530, r7531, r7532, r7533, r7534, r7535, r7536, r7537, r7538, r7539, r7540;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(3408);
        mpfr_init(r7524);
        mpfr_init(r7525);
        mpfr_init(r7526);
        mpfr_init(r7527);
        mpfr_init(r7528);
        mpfr_init(r7529);
        mpfr_init(r7530);
        mpfr_init(r7531);
        mpfr_init(r7532);
        mpfr_init(r7533);
        mpfr_init(r7534);
        mpfr_init(r7535);
        mpfr_init_set_str(r7536, "2", 10, MPFR_RNDN);
        mpfr_init(r7537);
        mpfr_init(r7538);
        mpfr_init(r7539);
        mpfr_init(r7540);
}

double f_dm(double F, double l) {
        mpfr_const_pi(r7524, MPFR_RNDN);
        mpfr_set_d(r7525, l, MPFR_RNDN);
        mpfr_mul(r7526, r7524, r7525, MPFR_RNDN);
        mpfr_sin(r7527, r7526, MPFR_RNDN);
        mpfr_cbrt(r7528, r7524, MPFR_RNDN);
        mpfr_cbrt(r7529, r7525, MPFR_RNDN);
        mpfr_mul(r7530, r7528, r7529, MPFR_RNDN);
        mpfr_cbrt(r7531, r7526, MPFR_RNDN);
        mpfr_mul(r7532, r7531, r7531, MPFR_RNDN);
        mpfr_mul(r7533, r7530, r7532, MPFR_RNDN);
        mpfr_cos(r7534, r7533, MPFR_RNDN);
        mpfr_set_d(r7535, F, MPFR_RNDN);
        ;
        mpfr_pow(r7537, r7535, r7536, MPFR_RNDN);
        mpfr_mul(r7538, r7534, r7537, MPFR_RNDN);
        mpfr_div(r7539, r7527, r7538, MPFR_RNDN);
        mpfr_sub(r7540, r7526, r7539, MPFR_RNDN);
        return mpfr_get_d(r7540, MPFR_RNDN);
}