#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 r7445 = atan2(1.0, 0.0);
        float r7446 = l;
        float r7447 = r7445 * r7446;
        float r7448 = 1.0f;
        float r7449 = F;
        float r7450 = r7449 * r7449;
        float r7451 = r7448 / r7450;
        float r7452 = tan(r7447);
        float r7453 = r7451 * r7452;
        float r7454 = r7447 - r7453;
        return r7454;
}

double f_id(double F, double l) {
        double r7455 = atan2(1.0, 0.0);
        double r7456 = l;
        double r7457 = r7455 * r7456;
        double r7458 = 1.0;
        double r7459 = F;
        double r7460 = r7459 * r7459;
        double r7461 = r7458 / r7460;
        double r7462 = tan(r7457);
        double r7463 = r7461 * r7462;
        double r7464 = r7457 - r7463;
        return r7464;
}


double f_of(float F, float l) {
        float r7465 = atan2(1.0, 0.0);
        float r7466 = l;
        float r7467 = r7465 * r7466;
        float r7468 = 1.0f;
        float r7469 = F;
        float r7470 = r7469 / r7467;
        float r7471 = r7469 * r7467;
        float r7472 = 0.3333333333333333f;
        float r7473 = r7471 * r7472;
        float r7474 = r7470 - r7473;
        float r7475 = r7468 / r7474;
        float r7476 = r7468 / r7469;
        float r7477 = r7475 * r7476;
        float r7478 = r7467 - r7477;
        return r7478;
}

double f_od(double F, double l) {
        double r7479 = atan2(1.0, 0.0);
        double r7480 = l;
        double r7481 = r7479 * r7480;
        double r7482 = 1.0;
        double r7483 = F;
        double r7484 = r7483 / r7481;
        double r7485 = r7483 * r7481;
        double r7486 = 0.3333333333333333;
        double r7487 = r7485 * r7486;
        double r7488 = r7484 - r7487;
        double r7489 = r7482 / r7488;
        double r7490 = r7482 / r7483;
        double r7491 = r7489 * r7490;
        double r7492 = r7481 - r7491;
        return r7492;
}

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 r7493, r7494, r7495, r7496, r7497, r7498, r7499, r7500, r7501, r7502;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2640);
        mpfr_init(r7493);
        mpfr_init(r7494);
        mpfr_init(r7495);
        mpfr_init_set_str(r7496, "1", 10, MPFR_RNDN);
        mpfr_init(r7497);
        mpfr_init(r7498);
        mpfr_init(r7499);
        mpfr_init(r7500);
        mpfr_init(r7501);
        mpfr_init(r7502);
}

double f_im(double F, double l) {
        mpfr_const_pi(r7493, MPFR_RNDN);
        mpfr_set_d(r7494, l, MPFR_RNDN);
        mpfr_mul(r7495, r7493, r7494, MPFR_RNDN);
        ;
        mpfr_set_d(r7497, F, MPFR_RNDN);
        mpfr_mul(r7498, r7497, r7497, MPFR_RNDN);
        mpfr_div(r7499, r7496, r7498, MPFR_RNDN);
        mpfr_tan(r7500, r7495, MPFR_RNDN);
        mpfr_mul(r7501, r7499, r7500, MPFR_RNDN);
        mpfr_sub(r7502, r7495, r7501, MPFR_RNDN);
        return mpfr_get_d(r7502, MPFR_RNDN);
}

static mpfr_t r7503, r7504, r7505, r7506, r7507, r7508, r7509, r7510, r7511, r7512, r7513, r7514, r7515, r7516;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2640);
        mpfr_init(r7503);
        mpfr_init(r7504);
        mpfr_init(r7505);
        mpfr_init_set_str(r7506, "1", 10, MPFR_RNDN);
        mpfr_init(r7507);
        mpfr_init(r7508);
        mpfr_init(r7509);
        mpfr_init_set_str(r7510, "1/3", 10, MPFR_RNDN);
        mpfr_init(r7511);
        mpfr_init(r7512);
        mpfr_init(r7513);
        mpfr_init(r7514);
        mpfr_init(r7515);
        mpfr_init(r7516);
}

double f_fm(double F, double l) {
        mpfr_const_pi(r7503, MPFR_RNDN);
        mpfr_set_d(r7504, l, MPFR_RNDN);
        mpfr_mul(r7505, r7503, r7504, MPFR_RNDN);
        ;
        mpfr_set_d(r7507, F, MPFR_RNDN);
        mpfr_div(r7508, r7507, r7505, MPFR_RNDN);
        mpfr_mul(r7509, r7507, r7505, MPFR_RNDN);
        ;
        mpfr_mul(r7511, r7509, r7510, MPFR_RNDN);
        mpfr_sub(r7512, r7508, r7511, MPFR_RNDN);
        mpfr_div(r7513, r7506, r7512, MPFR_RNDN);
        mpfr_div(r7514, r7506, r7507, MPFR_RNDN);
        mpfr_mul(r7515, r7513, r7514, MPFR_RNDN);
        mpfr_sub(r7516, r7505, r7515, MPFR_RNDN);
        return mpfr_get_d(r7516, MPFR_RNDN);
}

static mpfr_t r7517, r7518, r7519, r7520, r7521, r7522, r7523, r7524, r7525, r7526, r7527, r7528, r7529, r7530;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2640);
        mpfr_init(r7517);
        mpfr_init(r7518);
        mpfr_init(r7519);
        mpfr_init_set_str(r7520, "1", 10, MPFR_RNDN);
        mpfr_init(r7521);
        mpfr_init(r7522);
        mpfr_init(r7523);
        mpfr_init_set_str(r7524, "1/3", 10, MPFR_RNDN);
        mpfr_init(r7525);
        mpfr_init(r7526);
        mpfr_init(r7527);
        mpfr_init(r7528);
        mpfr_init(r7529);
        mpfr_init(r7530);
}

double f_dm(double F, double l) {
        mpfr_const_pi(r7517, MPFR_RNDN);
        mpfr_set_d(r7518, l, MPFR_RNDN);
        mpfr_mul(r7519, r7517, r7518, MPFR_RNDN);
        ;
        mpfr_set_d(r7521, F, MPFR_RNDN);
        mpfr_div(r7522, r7521, r7519, MPFR_RNDN);
        mpfr_mul(r7523, r7521, r7519, MPFR_RNDN);
        ;
        mpfr_mul(r7525, r7523, r7524, MPFR_RNDN);
        mpfr_sub(r7526, r7522, r7525, MPFR_RNDN);
        mpfr_div(r7527, r7520, r7526, MPFR_RNDN);
        mpfr_div(r7528, r7520, r7521, MPFR_RNDN);
        mpfr_mul(r7529, r7527, r7528, MPFR_RNDN);
        mpfr_sub(r7530, r7519, r7529, MPFR_RNDN);
        return mpfr_get_d(r7530, MPFR_RNDN);
}