#include <tgmath.h>
#include <gmp.h>
#include <mpfr.h>
#include <stdio.h>
#include <stdbool.h>

char *name = "Bouland and Aaronson, Equation (25)";

double f_if(float a, float b) {
        float r23660 = a;
        float r23661 = r23660 * r23660;
        float r23662 = b;
        float r23663 = r23662 * r23662;
        float r23664 = r23661 + r23663;
        float r23665 = 2;
        float r23666 = pow(r23664, r23665);
        float r23667 = 4;
        float r23668 = 1;
        float r23669 = r23668 + r23660;
        float r23670 = r23661 * r23669;
        float r23671 = 3;
        float r23672 = r23671 * r23660;
        float r23673 = r23668 - r23672;
        float r23674 = r23663 * r23673;
        float r23675 = r23670 + r23674;
        float r23676 = r23667 * r23675;
        float r23677 = r23666 + r23676;
        float r23678 = r23677 - r23668;
        return r23678;
}

double f_id(double a, double b) {
        double r23679 = a;
        double r23680 = r23679 * r23679;
        double r23681 = b;
        double r23682 = r23681 * r23681;
        double r23683 = r23680 + r23682;
        double r23684 = 2;
        double r23685 = pow(r23683, r23684);
        double r23686 = 4;
        double r23687 = 1;
        double r23688 = r23687 + r23679;
        double r23689 = r23680 * r23688;
        double r23690 = 3;
        double r23691 = r23690 * r23679;
        double r23692 = r23687 - r23691;
        double r23693 = r23682 * r23692;
        double r23694 = r23689 + r23693;
        double r23695 = r23686 * r23694;
        double r23696 = r23685 + r23695;
        double r23697 = r23696 - r23687;
        return r23697;
}


double f_of(float a, float b) {
        float r23698 = a;
        float r23699 = r23698 * r23698;
        float r23700 = b;
        float r23701 = r23700 * r23700;
        float r23702 = r23699 + r23701;
        float r23703 = 2;
        float r23704 = pow(r23702, r23703);
        float r23705 = 4;
        float r23706 = 1;
        float r23707 = r23706 + r23698;
        float r23708 = r23699 * r23707;
        float r23709 = 3;
        float r23710 = r23709 * r23698;
        float r23711 = r23706 - r23710;
        float r23712 = r23701 * r23711;
        float r23713 = r23708 + r23712;
        float r23714 = r23705 * r23713;
        float r23715 = r23704 + r23714;
        float r23716 = sqrt(r23715);
        float r23717 = r23716 * r23716;
        float r23718 = r23717 - r23706;
        return r23718;
}

double f_od(double a, double b) {
        double r23719 = a;
        double r23720 = r23719 * r23719;
        double r23721 = b;
        double r23722 = r23721 * r23721;
        double r23723 = r23720 + r23722;
        double r23724 = 2;
        double r23725 = pow(r23723, r23724);
        double r23726 = 4;
        double r23727 = 1;
        double r23728 = r23727 + r23719;
        double r23729 = r23720 * r23728;
        double r23730 = 3;
        double r23731 = r23730 * r23719;
        double r23732 = r23727 - r23731;
        double r23733 = r23722 * r23732;
        double r23734 = r23729 + r23733;
        double r23735 = r23726 * r23734;
        double r23736 = r23725 + r23735;
        double r23737 = sqrt(r23736);
        double r23738 = r23737 * r23737;
        double r23739 = r23738 - r23727;
        return r23739;
}

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 r23740, r23741, r23742, r23743, r23744, r23745, r23746, r23747, r23748, r23749, r23750, r23751, r23752, r23753, r23754, r23755, r23756, r23757, r23758;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r23740);
        mpfr_init(r23741);
        mpfr_init(r23742);
        mpfr_init(r23743);
        mpfr_init(r23744);
        mpfr_init_set_str(r23745, "2", 10, MPFR_RNDN);
        mpfr_init(r23746);
        mpfr_init_set_str(r23747, "4", 10, MPFR_RNDN);
        mpfr_init_set_str(r23748, "1", 10, MPFR_RNDN);
        mpfr_init(r23749);
        mpfr_init(r23750);
        mpfr_init_set_str(r23751, "3", 10, MPFR_RNDN);
        mpfr_init(r23752);
        mpfr_init(r23753);
        mpfr_init(r23754);
        mpfr_init(r23755);
        mpfr_init(r23756);
        mpfr_init(r23757);
        mpfr_init(r23758);
}

double f_im(double a, double b) {
        mpfr_set_d(r23740, a, MPFR_RNDN);
        mpfr_mul(r23741, r23740, r23740, MPFR_RNDN);
        mpfr_set_d(r23742, b, MPFR_RNDN);
        mpfr_mul(r23743, r23742, r23742, MPFR_RNDN);
        mpfr_add(r23744, r23741, r23743, MPFR_RNDN);
        ;
        mpfr_pow(r23746, r23744, r23745, MPFR_RNDN);
        ;
        ;
        mpfr_add(r23749, r23748, r23740, MPFR_RNDN);
        mpfr_mul(r23750, r23741, r23749, MPFR_RNDN);
        ;
        mpfr_mul(r23752, r23751, r23740, MPFR_RNDN);
        mpfr_sub(r23753, r23748, r23752, MPFR_RNDN);
        mpfr_mul(r23754, r23743, r23753, MPFR_RNDN);
        mpfr_add(r23755, r23750, r23754, MPFR_RNDN);
        mpfr_mul(r23756, r23747, r23755, MPFR_RNDN);
        mpfr_add(r23757, r23746, r23756, MPFR_RNDN);
        mpfr_sub(r23758, r23757, r23748, MPFR_RNDN);
        return mpfr_get_d(r23758, MPFR_RNDN);
}

static mpfr_t r23759, r23760, r23761, r23762, r23763, r23764, r23765, r23766, r23767, r23768, r23769, r23770, r23771, r23772, r23773, r23774, r23775, r23776, r23777, r23778, r23779;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r23759);
        mpfr_init(r23760);
        mpfr_init(r23761);
        mpfr_init(r23762);
        mpfr_init(r23763);
        mpfr_init_set_str(r23764, "2", 10, MPFR_RNDN);
        mpfr_init(r23765);
        mpfr_init_set_str(r23766, "4", 10, MPFR_RNDN);
        mpfr_init_set_str(r23767, "1", 10, MPFR_RNDN);
        mpfr_init(r23768);
        mpfr_init(r23769);
        mpfr_init_set_str(r23770, "3", 10, MPFR_RNDN);
        mpfr_init(r23771);
        mpfr_init(r23772);
        mpfr_init(r23773);
        mpfr_init(r23774);
        mpfr_init(r23775);
        mpfr_init(r23776);
        mpfr_init(r23777);
        mpfr_init(r23778);
        mpfr_init(r23779);
}

double f_fm(double a, double b) {
        mpfr_set_d(r23759, a, MPFR_RNDN);
        mpfr_mul(r23760, r23759, r23759, MPFR_RNDN);
        mpfr_set_d(r23761, b, MPFR_RNDN);
        mpfr_mul(r23762, r23761, r23761, MPFR_RNDN);
        mpfr_add(r23763, r23760, r23762, MPFR_RNDN);
        ;
        mpfr_pow(r23765, r23763, r23764, MPFR_RNDN);
        ;
        ;
        mpfr_add(r23768, r23767, r23759, MPFR_RNDN);
        mpfr_mul(r23769, r23760, r23768, MPFR_RNDN);
        ;
        mpfr_mul(r23771, r23770, r23759, MPFR_RNDN);
        mpfr_sub(r23772, r23767, r23771, MPFR_RNDN);
        mpfr_mul(r23773, r23762, r23772, MPFR_RNDN);
        mpfr_add(r23774, r23769, r23773, MPFR_RNDN);
        mpfr_mul(r23775, r23766, r23774, MPFR_RNDN);
        mpfr_add(r23776, r23765, r23775, MPFR_RNDN);
        mpfr_sqrt(r23777, r23776, MPFR_RNDN);
        mpfr_mul(r23778, r23777, r23777, MPFR_RNDN);
        mpfr_sub(r23779, r23778, r23767, MPFR_RNDN);
        return mpfr_get_d(r23779, MPFR_RNDN);
}

static mpfr_t r23780, r23781, r23782, r23783, r23784, r23785, r23786, r23787, r23788, r23789, r23790, r23791, r23792, r23793, r23794, r23795, r23796, r23797, r23798, r23799, r23800;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r23780);
        mpfr_init(r23781);
        mpfr_init(r23782);
        mpfr_init(r23783);
        mpfr_init(r23784);
        mpfr_init_set_str(r23785, "2", 10, MPFR_RNDN);
        mpfr_init(r23786);
        mpfr_init_set_str(r23787, "4", 10, MPFR_RNDN);
        mpfr_init_set_str(r23788, "1", 10, MPFR_RNDN);
        mpfr_init(r23789);
        mpfr_init(r23790);
        mpfr_init_set_str(r23791, "3", 10, MPFR_RNDN);
        mpfr_init(r23792);
        mpfr_init(r23793);
        mpfr_init(r23794);
        mpfr_init(r23795);
        mpfr_init(r23796);
        mpfr_init(r23797);
        mpfr_init(r23798);
        mpfr_init(r23799);
        mpfr_init(r23800);
}

double f_dm(double a, double b) {
        mpfr_set_d(r23780, a, MPFR_RNDN);
        mpfr_mul(r23781, r23780, r23780, MPFR_RNDN);
        mpfr_set_d(r23782, b, MPFR_RNDN);
        mpfr_mul(r23783, r23782, r23782, MPFR_RNDN);
        mpfr_add(r23784, r23781, r23783, MPFR_RNDN);
        ;
        mpfr_pow(r23786, r23784, r23785, MPFR_RNDN);
        ;
        ;
        mpfr_add(r23789, r23788, r23780, MPFR_RNDN);
        mpfr_mul(r23790, r23781, r23789, MPFR_RNDN);
        ;
        mpfr_mul(r23792, r23791, r23780, MPFR_RNDN);
        mpfr_sub(r23793, r23788, r23792, MPFR_RNDN);
        mpfr_mul(r23794, r23783, r23793, MPFR_RNDN);
        mpfr_add(r23795, r23790, r23794, MPFR_RNDN);
        mpfr_mul(r23796, r23787, r23795, MPFR_RNDN);
        mpfr_add(r23797, r23786, r23796, MPFR_RNDN);
        mpfr_sqrt(r23798, r23797, MPFR_RNDN);
        mpfr_mul(r23799, r23798, r23798, MPFR_RNDN);
        mpfr_sub(r23800, r23799, r23788, MPFR_RNDN);
        return mpfr_get_d(r23800, MPFR_RNDN);
}