#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 r21643 = atan2(1.0, 0.0);
        float r21644 = l;
        float r21645 = r21643 * r21644;
        float r21646 = 1;
        float r21647 = F;
        float r21648 = r21647 * r21647;
        float r21649 = r21646 / r21648;
        float r21650 = tan(r21645);
        float r21651 = r21649 * r21650;
        float r21652 = r21645 - r21651;
        return r21652;
}

double f_id(double F, double l) {
        double r21653 = atan2(1.0, 0.0);
        double r21654 = l;
        double r21655 = r21653 * r21654;
        double r21656 = 1;
        double r21657 = F;
        double r21658 = r21657 * r21657;
        double r21659 = r21656 / r21658;
        double r21660 = tan(r21655);
        double r21661 = r21659 * r21660;
        double r21662 = r21655 - r21661;
        return r21662;
}


double f_of(float F, float l) {
        float r21663 = l;
        float r21664 = atan2(1.0, 0.0);
        float r21665 = r21663 * r21664;
        float r21666 = tan(r21665);
        float r21667 = cbrt(r21666);
        float r21668 = -r21667;
        float r21669 = F;
        float r21670 = r21668 / r21669;
        float r21671 = r21667 / r21669;
        float r21672 = r21664 * r21663;
        float r21673 = sin(r21672);
        float r21674 = cbrt(r21673);
        float r21675 = r21674 * r21674;
        float r21676 = cbrt(r21675);
        float r21677 = sin(r21665);
        float r21678 = cbrt(r21677);
        float r21679 = cos(r21665);
        float r21680 = r21678 / r21679;
        float r21681 = cbrt(r21680);
        float r21682 = r21676 * r21681;
        float r21683 = r21671 * r21682;
        float r21684 = fma(r21670, r21683, r21665);
        return r21684;
}

double f_od(double F, double l) {
        double r21685 = l;
        double r21686 = atan2(1.0, 0.0);
        double r21687 = r21685 * r21686;
        double r21688 = tan(r21687);
        double r21689 = cbrt(r21688);
        double r21690 = -r21689;
        double r21691 = F;
        double r21692 = r21690 / r21691;
        double r21693 = r21689 / r21691;
        double r21694 = r21686 * r21685;
        double r21695 = sin(r21694);
        double r21696 = cbrt(r21695);
        double r21697 = r21696 * r21696;
        double r21698 = cbrt(r21697);
        double r21699 = sin(r21687);
        double r21700 = cbrt(r21699);
        double r21701 = cos(r21687);
        double r21702 = r21700 / r21701;
        double r21703 = cbrt(r21702);
        double r21704 = r21698 * r21703;
        double r21705 = r21693 * r21704;
        double r21706 = fma(r21692, r21705, r21687);
        return r21706;
}

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 r21707, r21708, r21709, r21710, r21711, r21712, r21713, r21714, r21715, r21716;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(4944);
        mpfr_init(r21707);
        mpfr_init(r21708);
        mpfr_init(r21709);
        mpfr_init_set_str(r21710, "1", 10, MPFR_RNDN);
        mpfr_init(r21711);
        mpfr_init(r21712);
        mpfr_init(r21713);
        mpfr_init(r21714);
        mpfr_init(r21715);
        mpfr_init(r21716);
}

double f_im(double F, double l) {
        mpfr_const_pi(r21707, MPFR_RNDN);
        mpfr_set_d(r21708, l, MPFR_RNDN);
        mpfr_mul(r21709, r21707, r21708, MPFR_RNDN);
        ;
        mpfr_set_d(r21711, F, MPFR_RNDN);
        mpfr_mul(r21712, r21711, r21711, MPFR_RNDN);
        mpfr_div(r21713, r21710, r21712, MPFR_RNDN);
        mpfr_tan(r21714, r21709, MPFR_RNDN);
        mpfr_mul(r21715, r21713, r21714, MPFR_RNDN);
        mpfr_sub(r21716, r21709, r21715, MPFR_RNDN);
        return mpfr_get_d(r21716, MPFR_RNDN);
}

static mpfr_t r21717, r21718, r21719, r21720, r21721, r21722, r21723, r21724, r21725, r21726, r21727, r21728, r21729, r21730, r21731, r21732, r21733, r21734, r21735, r21736, r21737, r21738;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(4944);
        mpfr_init(r21717);
        mpfr_init(r21718);
        mpfr_init(r21719);
        mpfr_init(r21720);
        mpfr_init(r21721);
        mpfr_init(r21722);
        mpfr_init(r21723);
        mpfr_init(r21724);
        mpfr_init(r21725);
        mpfr_init(r21726);
        mpfr_init(r21727);
        mpfr_init(r21728);
        mpfr_init(r21729);
        mpfr_init(r21730);
        mpfr_init(r21731);
        mpfr_init(r21732);
        mpfr_init(r21733);
        mpfr_init(r21734);
        mpfr_init(r21735);
        mpfr_init(r21736);
        mpfr_init(r21737);
        mpfr_init(r21738);
}

double f_fm(double F, double l) {
        mpfr_set_d(r21717, l, MPFR_RNDN);
        mpfr_const_pi(r21718, MPFR_RNDN);
        mpfr_mul(r21719, r21717, r21718, MPFR_RNDN);
        mpfr_tan(r21720, r21719, MPFR_RNDN);
        mpfr_cbrt(r21721, r21720, MPFR_RNDN);
        mpfr_neg(r21722, r21721, MPFR_RNDN);
        mpfr_set_d(r21723, F, MPFR_RNDN);
        mpfr_div(r21724, r21722, r21723, MPFR_RNDN);
        mpfr_div(r21725, r21721, r21723, MPFR_RNDN);
        mpfr_mul(r21726, r21718, r21717, MPFR_RNDN);
        mpfr_sin(r21727, r21726, MPFR_RNDN);
        mpfr_cbrt(r21728, r21727, MPFR_RNDN);
        mpfr_mul(r21729, r21728, r21728, MPFR_RNDN);
        mpfr_cbrt(r21730, r21729, MPFR_RNDN);
        mpfr_sin(r21731, r21719, MPFR_RNDN);
        mpfr_cbrt(r21732, r21731, MPFR_RNDN);
        mpfr_cos(r21733, r21719, MPFR_RNDN);
        mpfr_div(r21734, r21732, r21733, MPFR_RNDN);
        mpfr_cbrt(r21735, r21734, MPFR_RNDN);
        mpfr_mul(r21736, r21730, r21735, MPFR_RNDN);
        mpfr_mul(r21737, r21725, r21736, MPFR_RNDN);
        mpfr_fma(r21738, r21724, r21737, r21719, MPFR_RNDN);
        return mpfr_get_d(r21738, MPFR_RNDN);
}

static mpfr_t r21739, r21740, r21741, r21742, r21743, r21744, r21745, r21746, r21747, r21748, r21749, r21750, r21751, r21752, r21753, r21754, r21755, r21756, r21757, r21758, r21759, r21760;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(4944);
        mpfr_init(r21739);
        mpfr_init(r21740);
        mpfr_init(r21741);
        mpfr_init(r21742);
        mpfr_init(r21743);
        mpfr_init(r21744);
        mpfr_init(r21745);
        mpfr_init(r21746);
        mpfr_init(r21747);
        mpfr_init(r21748);
        mpfr_init(r21749);
        mpfr_init(r21750);
        mpfr_init(r21751);
        mpfr_init(r21752);
        mpfr_init(r21753);
        mpfr_init(r21754);
        mpfr_init(r21755);
        mpfr_init(r21756);
        mpfr_init(r21757);
        mpfr_init(r21758);
        mpfr_init(r21759);
        mpfr_init(r21760);
}

double f_dm(double F, double l) {
        mpfr_set_d(r21739, l, MPFR_RNDN);
        mpfr_const_pi(r21740, MPFR_RNDN);
        mpfr_mul(r21741, r21739, r21740, MPFR_RNDN);
        mpfr_tan(r21742, r21741, MPFR_RNDN);
        mpfr_cbrt(r21743, r21742, MPFR_RNDN);
        mpfr_neg(r21744, r21743, MPFR_RNDN);
        mpfr_set_d(r21745, F, MPFR_RNDN);
        mpfr_div(r21746, r21744, r21745, MPFR_RNDN);
        mpfr_div(r21747, r21743, r21745, MPFR_RNDN);
        mpfr_mul(r21748, r21740, r21739, MPFR_RNDN);
        mpfr_sin(r21749, r21748, MPFR_RNDN);
        mpfr_cbrt(r21750, r21749, MPFR_RNDN);
        mpfr_mul(r21751, r21750, r21750, MPFR_RNDN);
        mpfr_cbrt(r21752, r21751, MPFR_RNDN);
        mpfr_sin(r21753, r21741, MPFR_RNDN);
        mpfr_cbrt(r21754, r21753, MPFR_RNDN);
        mpfr_cos(r21755, r21741, MPFR_RNDN);
        mpfr_div(r21756, r21754, r21755, MPFR_RNDN);
        mpfr_cbrt(r21757, r21756, MPFR_RNDN);
        mpfr_mul(r21758, r21752, r21757, MPFR_RNDN);
        mpfr_mul(r21759, r21747, r21758, MPFR_RNDN);
        mpfr_fma(r21760, r21746, r21759, r21741, MPFR_RNDN);
        return mpfr_get_d(r21760, MPFR_RNDN);
}