#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 r23722 = a;
        float r23723 = r23722 * r23722;
        float r23724 = b;
        float r23725 = r23724 * r23724;
        float r23726 = r23723 + r23725;
        float r23727 = 2;
        float r23728 = pow(r23726, r23727);
        float r23729 = 4;
        float r23730 = 1;
        float r23731 = r23730 + r23722;
        float r23732 = r23723 * r23731;
        float r23733 = 3;
        float r23734 = r23733 * r23722;
        float r23735 = r23730 - r23734;
        float r23736 = r23725 * r23735;
        float r23737 = r23732 + r23736;
        float r23738 = r23729 * r23737;
        float r23739 = r23728 + r23738;
        float r23740 = r23739 - r23730;
        return r23740;
}

double f_id(double a, double b) {
        double r23741 = a;
        double r23742 = r23741 * r23741;
        double r23743 = b;
        double r23744 = r23743 * r23743;
        double r23745 = r23742 + r23744;
        double r23746 = 2;
        double r23747 = pow(r23745, r23746);
        double r23748 = 4;
        double r23749 = 1;
        double r23750 = r23749 + r23741;
        double r23751 = r23742 * r23750;
        double r23752 = 3;
        double r23753 = r23752 * r23741;
        double r23754 = r23749 - r23753;
        double r23755 = r23744 * r23754;
        double r23756 = r23751 + r23755;
        double r23757 = r23748 * r23756;
        double r23758 = r23747 + r23757;
        double r23759 = r23758 - r23749;
        return r23759;
}


double f_of(float a, float b) {
        float r23760 = a;
        float r23761 = r23760 * r23760;
        float r23762 = b;
        float r23763 = r23762 * r23762;
        float r23764 = r23761 + r23763;
        float r23765 = 2;
        float r23766 = pow(r23764, r23765);
        float r23767 = 4;
        float r23768 = 1;
        float r23769 = r23768 + r23760;
        float r23770 = r23761 * r23769;
        float r23771 = 3;
        float r23772 = r23771 * r23760;
        float r23773 = r23768 - r23772;
        float r23774 = r23763 * r23773;
        float r23775 = r23770 + r23774;
        float r23776 = r23767 * r23775;
        float r23777 = r23766 + r23776;
        float r23778 = sqrt(r23777);
        float r23779 = r23778 * r23778;
        float r23780 = r23779 - r23768;
        return r23780;
}

double f_od(double a, double b) {
        double r23781 = a;
        double r23782 = r23781 * r23781;
        double r23783 = b;
        double r23784 = r23783 * r23783;
        double r23785 = r23782 + r23784;
        double r23786 = 2;
        double r23787 = pow(r23785, r23786);
        double r23788 = 4;
        double r23789 = 1;
        double r23790 = r23789 + r23781;
        double r23791 = r23782 * r23790;
        double r23792 = 3;
        double r23793 = r23792 * r23781;
        double r23794 = r23789 - r23793;
        double r23795 = r23784 * r23794;
        double r23796 = r23791 + r23795;
        double r23797 = r23788 * r23796;
        double r23798 = r23787 + r23797;
        double r23799 = sqrt(r23798);
        double r23800 = r23799 * r23799;
        double r23801 = r23800 - r23789;
        return r23801;
}

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 r23802, r23803, r23804, r23805, r23806, r23807, r23808, r23809, r23810, r23811, r23812, r23813, r23814, r23815, r23816, r23817, r23818, r23819, r23820;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r23802);
        mpfr_init(r23803);
        mpfr_init(r23804);
        mpfr_init(r23805);
        mpfr_init(r23806);
        mpfr_init_set_str(r23807, "2", 10, MPFR_RNDN);
        mpfr_init(r23808);
        mpfr_init_set_str(r23809, "4", 10, MPFR_RNDN);
        mpfr_init_set_str(r23810, "1", 10, MPFR_RNDN);
        mpfr_init(r23811);
        mpfr_init(r23812);
        mpfr_init_set_str(r23813, "3", 10, MPFR_RNDN);
        mpfr_init(r23814);
        mpfr_init(r23815);
        mpfr_init(r23816);
        mpfr_init(r23817);
        mpfr_init(r23818);
        mpfr_init(r23819);
        mpfr_init(r23820);
}

double f_im(double a, double b) {
        mpfr_set_d(r23802, a, MPFR_RNDN);
        mpfr_mul(r23803, r23802, r23802, MPFR_RNDN);
        mpfr_set_d(r23804, b, MPFR_RNDN);
        mpfr_mul(r23805, r23804, r23804, MPFR_RNDN);
        mpfr_add(r23806, r23803, r23805, MPFR_RNDN);
        ;
        mpfr_pow(r23808, r23806, r23807, MPFR_RNDN);
        ;
        ;
        mpfr_add(r23811, r23810, r23802, MPFR_RNDN);
        mpfr_mul(r23812, r23803, r23811, MPFR_RNDN);
        ;
        mpfr_mul(r23814, r23813, r23802, MPFR_RNDN);
        mpfr_sub(r23815, r23810, r23814, MPFR_RNDN);
        mpfr_mul(r23816, r23805, r23815, MPFR_RNDN);
        mpfr_add(r23817, r23812, r23816, MPFR_RNDN);
        mpfr_mul(r23818, r23809, r23817, MPFR_RNDN);
        mpfr_add(r23819, r23808, r23818, MPFR_RNDN);
        mpfr_sub(r23820, r23819, r23810, MPFR_RNDN);
        return mpfr_get_d(r23820, MPFR_RNDN);
}

static mpfr_t r23821, r23822, r23823, r23824, r23825, r23826, r23827, r23828, r23829, r23830, r23831, r23832, r23833, r23834, r23835, r23836, r23837, r23838, r23839, r23840, r23841;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r23821);
        mpfr_init(r23822);
        mpfr_init(r23823);
        mpfr_init(r23824);
        mpfr_init(r23825);
        mpfr_init_set_str(r23826, "2", 10, MPFR_RNDN);
        mpfr_init(r23827);
        mpfr_init_set_str(r23828, "4", 10, MPFR_RNDN);
        mpfr_init_set_str(r23829, "1", 10, MPFR_RNDN);
        mpfr_init(r23830);
        mpfr_init(r23831);
        mpfr_init_set_str(r23832, "3", 10, MPFR_RNDN);
        mpfr_init(r23833);
        mpfr_init(r23834);
        mpfr_init(r23835);
        mpfr_init(r23836);
        mpfr_init(r23837);
        mpfr_init(r23838);
        mpfr_init(r23839);
        mpfr_init(r23840);
        mpfr_init(r23841);
}

double f_fm(double a, double b) {
        mpfr_set_d(r23821, a, MPFR_RNDN);
        mpfr_mul(r23822, r23821, r23821, MPFR_RNDN);
        mpfr_set_d(r23823, b, MPFR_RNDN);
        mpfr_mul(r23824, r23823, r23823, MPFR_RNDN);
        mpfr_add(r23825, r23822, r23824, MPFR_RNDN);
        ;
        mpfr_pow(r23827, r23825, r23826, MPFR_RNDN);
        ;
        ;
        mpfr_add(r23830, r23829, r23821, MPFR_RNDN);
        mpfr_mul(r23831, r23822, r23830, MPFR_RNDN);
        ;
        mpfr_mul(r23833, r23832, r23821, MPFR_RNDN);
        mpfr_sub(r23834, r23829, r23833, MPFR_RNDN);
        mpfr_mul(r23835, r23824, r23834, MPFR_RNDN);
        mpfr_add(r23836, r23831, r23835, MPFR_RNDN);
        mpfr_mul(r23837, r23828, r23836, MPFR_RNDN);
        mpfr_add(r23838, r23827, r23837, MPFR_RNDN);
        mpfr_sqrt(r23839, r23838, MPFR_RNDN);
        mpfr_mul(r23840, r23839, r23839, MPFR_RNDN);
        mpfr_sub(r23841, r23840, r23829, MPFR_RNDN);
        return mpfr_get_d(r23841, MPFR_RNDN);
}

static mpfr_t r23842, r23843, r23844, r23845, r23846, r23847, r23848, r23849, r23850, r23851, r23852, r23853, r23854, r23855, r23856, r23857, r23858, r23859, r23860, r23861, r23862;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r23842);
        mpfr_init(r23843);
        mpfr_init(r23844);
        mpfr_init(r23845);
        mpfr_init(r23846);
        mpfr_init_set_str(r23847, "2", 10, MPFR_RNDN);
        mpfr_init(r23848);
        mpfr_init_set_str(r23849, "4", 10, MPFR_RNDN);
        mpfr_init_set_str(r23850, "1", 10, MPFR_RNDN);
        mpfr_init(r23851);
        mpfr_init(r23852);
        mpfr_init_set_str(r23853, "3", 10, MPFR_RNDN);
        mpfr_init(r23854);
        mpfr_init(r23855);
        mpfr_init(r23856);
        mpfr_init(r23857);
        mpfr_init(r23858);
        mpfr_init(r23859);
        mpfr_init(r23860);
        mpfr_init(r23861);
        mpfr_init(r23862);
}

double f_dm(double a, double b) {
        mpfr_set_d(r23842, a, MPFR_RNDN);
        mpfr_mul(r23843, r23842, r23842, MPFR_RNDN);
        mpfr_set_d(r23844, b, MPFR_RNDN);
        mpfr_mul(r23845, r23844, r23844, MPFR_RNDN);
        mpfr_add(r23846, r23843, r23845, MPFR_RNDN);
        ;
        mpfr_pow(r23848, r23846, r23847, MPFR_RNDN);
        ;
        ;
        mpfr_add(r23851, r23850, r23842, MPFR_RNDN);
        mpfr_mul(r23852, r23843, r23851, MPFR_RNDN);
        ;
        mpfr_mul(r23854, r23853, r23842, MPFR_RNDN);
        mpfr_sub(r23855, r23850, r23854, MPFR_RNDN);
        mpfr_mul(r23856, r23845, r23855, MPFR_RNDN);
        mpfr_add(r23857, r23852, r23856, MPFR_RNDN);
        mpfr_mul(r23858, r23849, r23857, MPFR_RNDN);
        mpfr_add(r23859, r23848, r23858, MPFR_RNDN);
        mpfr_sqrt(r23860, r23859, MPFR_RNDN);
        mpfr_mul(r23861, r23860, r23860, MPFR_RNDN);
        mpfr_sub(r23862, r23861, r23850, MPFR_RNDN);
        return mpfr_get_d(r23862, MPFR_RNDN);
}