#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 r19531 = atan2(1.0, 0.0);
        float r19532 = l;
        float r19533 = r19531 * r19532;
        float r19534 = 1;
        float r19535 = F;
        float r19536 = r19535 * r19535;
        float r19537 = r19534 / r19536;
        float r19538 = tan(r19533);
        float r19539 = r19537 * r19538;
        float r19540 = r19533 - r19539;
        return r19540;
}

double f_id(double F, double l) {
        double r19541 = atan2(1.0, 0.0);
        double r19542 = l;
        double r19543 = r19541 * r19542;
        double r19544 = 1;
        double r19545 = F;
        double r19546 = r19545 * r19545;
        double r19547 = r19544 / r19546;
        double r19548 = tan(r19543);
        double r19549 = r19547 * r19548;
        double r19550 = r19543 - r19549;
        return r19550;
}


double f_of(float F, float l) {
        float r19551 = atan2(1.0, 0.0);
        float r19552 = l;
        float r19553 = r19551 * r19552;
        float r19554 = 1;
        float r19555 = F;
        float r19556 = r19554 / r19555;
        float r19557 = r19555 / r19551;
        float r19558 = r19557 / r19552;
        float r19559 = r19552 * r19555;
        float r19560 = 1/3;
        float r19561 = r19560 * r19551;
        float r19562 = r19559 * r19561;
        float r19563 = r19558 - r19562;
        float r19564 = r19556 / r19563;
        float r19565 = r19553 - r19564;
        return r19565;
}

double f_od(double F, double l) {
        double r19566 = atan2(1.0, 0.0);
        double r19567 = l;
        double r19568 = r19566 * r19567;
        double r19569 = 1;
        double r19570 = F;
        double r19571 = r19569 / r19570;
        double r19572 = r19570 / r19566;
        double r19573 = r19572 / r19567;
        double r19574 = r19567 * r19570;
        double r19575 = 1/3;
        double r19576 = r19575 * r19566;
        double r19577 = r19574 * r19576;
        double r19578 = r19573 - r19577;
        double r19579 = r19571 / r19578;
        double r19580 = r19568 - r19579;
        return r19580;
}

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 r19581, r19582, r19583, r19584, r19585, r19586, r19587, r19588, r19589, r19590;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2448);
        mpfr_init(r19581);
        mpfr_init(r19582);
        mpfr_init(r19583);
        mpfr_init_set_str(r19584, "1", 10, MPFR_RNDN);
        mpfr_init(r19585);
        mpfr_init(r19586);
        mpfr_init(r19587);
        mpfr_init(r19588);
        mpfr_init(r19589);
        mpfr_init(r19590);
}

double f_im(double F, double l) {
        mpfr_const_pi(r19581, MPFR_RNDN);
        mpfr_set_d(r19582, l, MPFR_RNDN);
        mpfr_mul(r19583, r19581, r19582, MPFR_RNDN);
        ;
        mpfr_set_d(r19585, F, MPFR_RNDN);
        mpfr_mul(r19586, r19585, r19585, MPFR_RNDN);
        mpfr_div(r19587, r19584, r19586, MPFR_RNDN);
        mpfr_tan(r19588, r19583, MPFR_RNDN);
        mpfr_mul(r19589, r19587, r19588, MPFR_RNDN);
        mpfr_sub(r19590, r19583, r19589, MPFR_RNDN);
        return mpfr_get_d(r19590, MPFR_RNDN);
}

static mpfr_t r19591, r19592, r19593, r19594, r19595, r19596, r19597, r19598, r19599, r19600, r19601, r19602, r19603, r19604, r19605;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2448);
        mpfr_init(r19591);
        mpfr_init(r19592);
        mpfr_init(r19593);
        mpfr_init_set_str(r19594, "1", 10, MPFR_RNDN);
        mpfr_init(r19595);
        mpfr_init(r19596);
        mpfr_init(r19597);
        mpfr_init(r19598);
        mpfr_init(r19599);
        mpfr_init_set_str(r19600, "1/3", 10, MPFR_RNDN);
        mpfr_init(r19601);
        mpfr_init(r19602);
        mpfr_init(r19603);
        mpfr_init(r19604);
        mpfr_init(r19605);
}

double f_fm(double F, double l) {
        mpfr_const_pi(r19591, MPFR_RNDN);
        mpfr_set_d(r19592, l, MPFR_RNDN);
        mpfr_mul(r19593, r19591, r19592, MPFR_RNDN);
        ;
        mpfr_set_d(r19595, F, MPFR_RNDN);
        mpfr_div(r19596, r19594, r19595, MPFR_RNDN);
        mpfr_div(r19597, r19595, r19591, MPFR_RNDN);
        mpfr_div(r19598, r19597, r19592, MPFR_RNDN);
        mpfr_mul(r19599, r19592, r19595, MPFR_RNDN);
        ;
        mpfr_mul(r19601, r19600, r19591, MPFR_RNDN);
        mpfr_mul(r19602, r19599, r19601, MPFR_RNDN);
        mpfr_sub(r19603, r19598, r19602, MPFR_RNDN);
        mpfr_div(r19604, r19596, r19603, MPFR_RNDN);
        mpfr_sub(r19605, r19593, r19604, MPFR_RNDN);
        return mpfr_get_d(r19605, MPFR_RNDN);
}

static mpfr_t r19606, r19607, r19608, r19609, r19610, r19611, r19612, r19613, r19614, r19615, r19616, r19617, r19618, r19619, r19620;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2448);
        mpfr_init(r19606);
        mpfr_init(r19607);
        mpfr_init(r19608);
        mpfr_init_set_str(r19609, "1", 10, MPFR_RNDN);
        mpfr_init(r19610);
        mpfr_init(r19611);
        mpfr_init(r19612);
        mpfr_init(r19613);
        mpfr_init(r19614);
        mpfr_init_set_str(r19615, "1/3", 10, MPFR_RNDN);
        mpfr_init(r19616);
        mpfr_init(r19617);
        mpfr_init(r19618);
        mpfr_init(r19619);
        mpfr_init(r19620);
}

double f_dm(double F, double l) {
        mpfr_const_pi(r19606, MPFR_RNDN);
        mpfr_set_d(r19607, l, MPFR_RNDN);
        mpfr_mul(r19608, r19606, r19607, MPFR_RNDN);
        ;
        mpfr_set_d(r19610, F, MPFR_RNDN);
        mpfr_div(r19611, r19609, r19610, MPFR_RNDN);
        mpfr_div(r19612, r19610, r19606, MPFR_RNDN);
        mpfr_div(r19613, r19612, r19607, MPFR_RNDN);
        mpfr_mul(r19614, r19607, r19610, MPFR_RNDN);
        ;
        mpfr_mul(r19616, r19615, r19606, MPFR_RNDN);
        mpfr_mul(r19617, r19614, r19616, MPFR_RNDN);
        mpfr_sub(r19618, r19613, r19617, MPFR_RNDN);
        mpfr_div(r19619, r19611, r19618, MPFR_RNDN);
        mpfr_sub(r19620, r19608, r19619, MPFR_RNDN);
        return mpfr_get_d(r19620, MPFR_RNDN);
}