#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 r17741 = a;
        float r17742 = r17741 * r17741;
        float r17743 = b;
        float r17744 = r17743 * r17743;
        float r17745 = r17742 + r17744;
        float r17746 = r17745 * r17745;
        float r17747 = 4.0f;
        float r17748 = 1.0f;
        float r17749 = r17748 + r17741;
        float r17750 = r17742 * r17749;
        float r17751 = 3.0f;
        float r17752 = r17751 * r17741;
        float r17753 = r17748 - r17752;
        float r17754 = r17744 * r17753;
        float r17755 = r17750 + r17754;
        float r17756 = r17747 * r17755;
        float r17757 = r17746 + r17756;
        float r17758 = r17757 - r17748;
        return r17758;
}

double f_id(double a, double b) {
        double r17759 = a;
        double r17760 = r17759 * r17759;
        double r17761 = b;
        double r17762 = r17761 * r17761;
        double r17763 = r17760 + r17762;
        double r17764 = r17763 * r17763;
        double r17765 = 4.0;
        double r17766 = 1.0;
        double r17767 = r17766 + r17759;
        double r17768 = r17760 * r17767;
        double r17769 = 3.0;
        double r17770 = r17769 * r17759;
        double r17771 = r17766 - r17770;
        double r17772 = r17762 * r17771;
        double r17773 = r17768 + r17772;
        double r17774 = r17765 * r17773;
        double r17775 = r17764 + r17774;
        double r17776 = r17775 - r17766;
        return r17776;
}


double f_of(float a, float b) {
        float r17777 = b;
        float r17778 = 4.0f;
        float r17779 = pow(r17777, r17778);
        float r17780 = 2.0f;
        float r17781 = r17777 * r17777;
        float r17782 = a;
        float r17783 = r17782 * r17782;
        float r17784 = r17781 * r17783;
        float r17785 = r17780 * r17784;
        float r17786 = pow(r17782, r17778);
        float r17787 = r17785 + r17786;
        float r17788 = r17779 + r17787;
        float r17789 = 1.0f;
        float r17790 = r17789 + r17782;
        float r17791 = r17783 * r17790;
        float r17792 = 3.0f;
        float r17793 = r17792 * r17782;
        float r17794 = r17789 - r17793;
        float r17795 = r17781 * r17794;
        float r17796 = r17791 + r17795;
        float r17797 = r17778 * r17796;
        float r17798 = r17788 + r17797;
        float r17799 = r17798 - r17789;
        return r17799;
}

double f_od(double a, double b) {
        double r17800 = b;
        double r17801 = 4.0;
        double r17802 = pow(r17800, r17801);
        double r17803 = 2.0;
        double r17804 = r17800 * r17800;
        double r17805 = a;
        double r17806 = r17805 * r17805;
        double r17807 = r17804 * r17806;
        double r17808 = r17803 * r17807;
        double r17809 = pow(r17805, r17801);
        double r17810 = r17808 + r17809;
        double r17811 = r17802 + r17810;
        double r17812 = 1.0;
        double r17813 = r17812 + r17805;
        double r17814 = r17806 * r17813;
        double r17815 = 3.0;
        double r17816 = r17815 * r17805;
        double r17817 = r17812 - r17816;
        double r17818 = r17804 * r17817;
        double r17819 = r17814 + r17818;
        double r17820 = r17801 * r17819;
        double r17821 = r17811 + r17820;
        double r17822 = r17821 - r17812;
        return r17822;
}

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 r17823, r17824, r17825, r17826, r17827, r17828, r17829, r17830, r17831, r17832, r17833, r17834, r17835, r17836, r17837, r17838, r17839, r17840;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r17823);
        mpfr_init(r17824);
        mpfr_init(r17825);
        mpfr_init(r17826);
        mpfr_init(r17827);
        mpfr_init(r17828);
        mpfr_init_set_str(r17829, "4", 10, MPFR_RNDN);
        mpfr_init_set_str(r17830, "1", 10, MPFR_RNDN);
        mpfr_init(r17831);
        mpfr_init(r17832);
        mpfr_init_set_str(r17833, "3", 10, MPFR_RNDN);
        mpfr_init(r17834);
        mpfr_init(r17835);
        mpfr_init(r17836);
        mpfr_init(r17837);
        mpfr_init(r17838);
        mpfr_init(r17839);
        mpfr_init(r17840);
}

double f_im(double a, double b) {
        mpfr_set_d(r17823, a, MPFR_RNDN);
        mpfr_sqr(r17824, r17823, MPFR_RNDN);
        mpfr_set_d(r17825, b, MPFR_RNDN);
        mpfr_sqr(r17826, r17825, MPFR_RNDN);
        mpfr_add(r17827, r17824, r17826, MPFR_RNDN);
        mpfr_sqr(r17828, r17827, MPFR_RNDN);
        ;
        ;
        mpfr_add(r17831, r17830, r17823, MPFR_RNDN);
        mpfr_mul(r17832, r17824, r17831, MPFR_RNDN);
        ;
        mpfr_mul(r17834, r17833, r17823, MPFR_RNDN);
        mpfr_sub(r17835, r17830, r17834, MPFR_RNDN);
        mpfr_mul(r17836, r17826, r17835, MPFR_RNDN);
        mpfr_add(r17837, r17832, r17836, MPFR_RNDN);
        mpfr_mul(r17838, r17829, r17837, MPFR_RNDN);
        mpfr_add(r17839, r17828, r17838, MPFR_RNDN);
        mpfr_sub(r17840, r17839, r17830, MPFR_RNDN);
        return mpfr_get_d(r17840, MPFR_RNDN);
}

static mpfr_t r17841, r17842, r17843, r17844, r17845, r17846, r17847, r17848, r17849, r17850, r17851, r17852, r17853, r17854, r17855, r17856, r17857, r17858, r17859, r17860, r17861, r17862, r17863;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r17841);
        mpfr_init_set_str(r17842, "4", 10, MPFR_RNDN);
        mpfr_init(r17843);
        mpfr_init_set_str(r17844, "2", 10, MPFR_RNDN);
        mpfr_init(r17845);
        mpfr_init(r17846);
        mpfr_init(r17847);
        mpfr_init(r17848);
        mpfr_init(r17849);
        mpfr_init(r17850);
        mpfr_init(r17851);
        mpfr_init(r17852);
        mpfr_init_set_str(r17853, "1", 10, MPFR_RNDN);
        mpfr_init(r17854);
        mpfr_init(r17855);
        mpfr_init_set_str(r17856, "3", 10, MPFR_RNDN);
        mpfr_init(r17857);
        mpfr_init(r17858);
        mpfr_init(r17859);
        mpfr_init(r17860);
        mpfr_init(r17861);
        mpfr_init(r17862);
        mpfr_init(r17863);
}

double f_fm(double a, double b) {
        mpfr_set_d(r17841, b, MPFR_RNDN);
        ;
        mpfr_pow(r17843, r17841, r17842, MPFR_RNDN);
        ;
        mpfr_sqr(r17845, r17841, MPFR_RNDN);
        mpfr_set_d(r17846, a, MPFR_RNDN);
        mpfr_sqr(r17847, r17846, MPFR_RNDN);
        mpfr_mul(r17848, r17845, r17847, MPFR_RNDN);
        mpfr_mul(r17849, r17844, r17848, MPFR_RNDN);
        mpfr_pow(r17850, r17846, r17842, MPFR_RNDN);
        mpfr_add(r17851, r17849, r17850, MPFR_RNDN);
        mpfr_add(r17852, r17843, r17851, MPFR_RNDN);
        ;
        mpfr_add(r17854, r17853, r17846, MPFR_RNDN);
        mpfr_mul(r17855, r17847, r17854, MPFR_RNDN);
        ;
        mpfr_mul(r17857, r17856, r17846, MPFR_RNDN);
        mpfr_sub(r17858, r17853, r17857, MPFR_RNDN);
        mpfr_mul(r17859, r17845, r17858, MPFR_RNDN);
        mpfr_add(r17860, r17855, r17859, MPFR_RNDN);
        mpfr_mul(r17861, r17842, r17860, MPFR_RNDN);
        mpfr_add(r17862, r17852, r17861, MPFR_RNDN);
        mpfr_sub(r17863, r17862, r17853, MPFR_RNDN);
        return mpfr_get_d(r17863, MPFR_RNDN);
}

static mpfr_t r17864, r17865, r17866, r17867, r17868, r17869, r17870, r17871, r17872, r17873, r17874, r17875, r17876, r17877, r17878, r17879, r17880, r17881, r17882, r17883, r17884, r17885, r17886;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r17864);
        mpfr_init_set_str(r17865, "4", 10, MPFR_RNDN);
        mpfr_init(r17866);
        mpfr_init_set_str(r17867, "2", 10, MPFR_RNDN);
        mpfr_init(r17868);
        mpfr_init(r17869);
        mpfr_init(r17870);
        mpfr_init(r17871);
        mpfr_init(r17872);
        mpfr_init(r17873);
        mpfr_init(r17874);
        mpfr_init(r17875);
        mpfr_init_set_str(r17876, "1", 10, MPFR_RNDN);
        mpfr_init(r17877);
        mpfr_init(r17878);
        mpfr_init_set_str(r17879, "3", 10, MPFR_RNDN);
        mpfr_init(r17880);
        mpfr_init(r17881);
        mpfr_init(r17882);
        mpfr_init(r17883);
        mpfr_init(r17884);
        mpfr_init(r17885);
        mpfr_init(r17886);
}

double f_dm(double a, double b) {
        mpfr_set_d(r17864, b, MPFR_RNDN);
        ;
        mpfr_pow(r17866, r17864, r17865, MPFR_RNDN);
        ;
        mpfr_sqr(r17868, r17864, MPFR_RNDN);
        mpfr_set_d(r17869, a, MPFR_RNDN);
        mpfr_sqr(r17870, r17869, MPFR_RNDN);
        mpfr_mul(r17871, r17868, r17870, MPFR_RNDN);
        mpfr_mul(r17872, r17867, r17871, MPFR_RNDN);
        mpfr_pow(r17873, r17869, r17865, MPFR_RNDN);
        mpfr_add(r17874, r17872, r17873, MPFR_RNDN);
        mpfr_add(r17875, r17866, r17874, MPFR_RNDN);
        ;
        mpfr_add(r17877, r17876, r17869, MPFR_RNDN);
        mpfr_mul(r17878, r17870, r17877, MPFR_RNDN);
        ;
        mpfr_mul(r17880, r17879, r17869, MPFR_RNDN);
        mpfr_sub(r17881, r17876, r17880, MPFR_RNDN);
        mpfr_mul(r17882, r17868, r17881, MPFR_RNDN);
        mpfr_add(r17883, r17878, r17882, MPFR_RNDN);
        mpfr_mul(r17884, r17865, r17883, MPFR_RNDN);
        mpfr_add(r17885, r17875, r17884, MPFR_RNDN);
        mpfr_sub(r17886, r17885, r17876, MPFR_RNDN);
        return mpfr_get_d(r17886, MPFR_RNDN);
}

