#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 = atan2(1.0, 0.0);
        float r21664 = l;
        float r21665 = r21663 * r21664;
        float r21666 = 1;
        float r21667 = F;
        float r21668 = r21666 / r21667;
        float r21669 = r21667 / r21663;
        float r21670 = r21669 / r21664;
        float r21671 = r21664 * r21667;
        float r21672 = 1/3;
        float r21673 = r21663 * r21672;
        float r21674 = r21671 * r21673;
        float r21675 = r21670 - r21674;
        float r21676 = r21668 / r21675;
        float r21677 = r21665 - r21676;
        return r21677;
}

double f_od(double F, double l) {
        double r21678 = atan2(1.0, 0.0);
        double r21679 = l;
        double r21680 = r21678 * r21679;
        double r21681 = 1;
        double r21682 = F;
        double r21683 = r21681 / r21682;
        double r21684 = r21682 / r21678;
        double r21685 = r21684 / r21679;
        double r21686 = r21679 * r21682;
        double r21687 = 1/3;
        double r21688 = r21678 * r21687;
        double r21689 = r21686 * r21688;
        double r21690 = r21685 - r21689;
        double r21691 = r21683 / r21690;
        double r21692 = r21680 - r21691;
        return r21692;
}

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 r21693, r21694, r21695, r21696, r21697, r21698, r21699, r21700, r21701, r21702;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(3920);
        mpfr_init(r21693);
        mpfr_init(r21694);
        mpfr_init(r21695);
        mpfr_init_set_str(r21696, "1", 10, MPFR_RNDN);
        mpfr_init(r21697);
        mpfr_init(r21698);
        mpfr_init(r21699);
        mpfr_init(r21700);
        mpfr_init(r21701);
        mpfr_init(r21702);
}

double f_im(double F, double l) {
        mpfr_const_pi(r21693, MPFR_RNDN);
        mpfr_set_d(r21694, l, MPFR_RNDN);
        mpfr_mul(r21695, r21693, r21694, MPFR_RNDN);
        ;
        mpfr_set_d(r21697, F, MPFR_RNDN);
        mpfr_mul(r21698, r21697, r21697, MPFR_RNDN);
        mpfr_div(r21699, r21696, r21698, MPFR_RNDN);
        mpfr_tan(r21700, r21695, MPFR_RNDN);
        mpfr_mul(r21701, r21699, r21700, MPFR_RNDN);
        mpfr_sub(r21702, r21695, r21701, MPFR_RNDN);
        return mpfr_get_d(r21702, MPFR_RNDN);
}

static mpfr_t r21703, r21704, r21705, r21706, r21707, r21708, r21709, r21710, r21711, r21712, r21713, r21714, r21715, r21716, r21717;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(3920);
        mpfr_init(r21703);
        mpfr_init(r21704);
        mpfr_init(r21705);
        mpfr_init_set_str(r21706, "1", 10, MPFR_RNDN);
        mpfr_init(r21707);
        mpfr_init(r21708);
        mpfr_init(r21709);
        mpfr_init(r21710);
        mpfr_init(r21711);
        mpfr_init_set_str(r21712, "1/3", 10, MPFR_RNDN);
        mpfr_init(r21713);
        mpfr_init(r21714);
        mpfr_init(r21715);
        mpfr_init(r21716);
        mpfr_init(r21717);
}

double f_fm(double F, double l) {
        mpfr_const_pi(r21703, MPFR_RNDN);
        mpfr_set_d(r21704, l, MPFR_RNDN);
        mpfr_mul(r21705, r21703, r21704, MPFR_RNDN);
        ;
        mpfr_set_d(r21707, F, MPFR_RNDN);
        mpfr_div(r21708, r21706, r21707, MPFR_RNDN);
        mpfr_div(r21709, r21707, r21703, MPFR_RNDN);
        mpfr_div(r21710, r21709, r21704, MPFR_RNDN);
        mpfr_mul(r21711, r21704, r21707, MPFR_RNDN);
        ;
        mpfr_mul(r21713, r21703, r21712, MPFR_RNDN);
        mpfr_mul(r21714, r21711, r21713, MPFR_RNDN);
        mpfr_sub(r21715, r21710, r21714, MPFR_RNDN);
        mpfr_div(r21716, r21708, r21715, MPFR_RNDN);
        mpfr_sub(r21717, r21705, r21716, MPFR_RNDN);
        return mpfr_get_d(r21717, MPFR_RNDN);
}

static mpfr_t r21718, r21719, r21720, r21721, r21722, r21723, r21724, r21725, r21726, r21727, r21728, r21729, r21730, r21731, r21732;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(3920);
        mpfr_init(r21718);
        mpfr_init(r21719);
        mpfr_init(r21720);
        mpfr_init_set_str(r21721, "1", 10, MPFR_RNDN);
        mpfr_init(r21722);
        mpfr_init(r21723);
        mpfr_init(r21724);
        mpfr_init(r21725);
        mpfr_init(r21726);
        mpfr_init_set_str(r21727, "1/3", 10, MPFR_RNDN);
        mpfr_init(r21728);
        mpfr_init(r21729);
        mpfr_init(r21730);
        mpfr_init(r21731);
        mpfr_init(r21732);
}

double f_dm(double F, double l) {
        mpfr_const_pi(r21718, MPFR_RNDN);
        mpfr_set_d(r21719, l, MPFR_RNDN);
        mpfr_mul(r21720, r21718, r21719, MPFR_RNDN);
        ;
        mpfr_set_d(r21722, F, MPFR_RNDN);
        mpfr_div(r21723, r21721, r21722, MPFR_RNDN);
        mpfr_div(r21724, r21722, r21718, MPFR_RNDN);
        mpfr_div(r21725, r21724, r21719, MPFR_RNDN);
        mpfr_mul(r21726, r21719, r21722, MPFR_RNDN);
        ;
        mpfr_mul(r21728, r21718, r21727, MPFR_RNDN);
        mpfr_mul(r21729, r21726, r21728, MPFR_RNDN);
        mpfr_sub(r21730, r21725, r21729, MPFR_RNDN);
        mpfr_div(r21731, r21723, r21730, MPFR_RNDN);
        mpfr_sub(r21732, r21720, r21731, MPFR_RNDN);
        return mpfr_get_d(r21732, MPFR_RNDN);
}