#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 r16737 = a;
        float r16738 = r16737 * r16737;
        float r16739 = b;
        float r16740 = r16739 * r16739;
        float r16741 = r16738 + r16740;
        float r16742 = r16741 * r16741;
        float r16743 = 4.0f;
        float r16744 = 1.0f;
        float r16745 = r16744 + r16737;
        float r16746 = r16738 * r16745;
        float r16747 = 3.0f;
        float r16748 = r16747 * r16737;
        float r16749 = r16744 - r16748;
        float r16750 = r16740 * r16749;
        float r16751 = r16746 + r16750;
        float r16752 = r16743 * r16751;
        float r16753 = r16742 + r16752;
        float r16754 = r16753 - r16744;
        return r16754;
}

double f_id(double a, double b) {
        double r16755 = a;
        double r16756 = r16755 * r16755;
        double r16757 = b;
        double r16758 = r16757 * r16757;
        double r16759 = r16756 + r16758;
        double r16760 = r16759 * r16759;
        double r16761 = 4.0;
        double r16762 = 1.0;
        double r16763 = r16762 + r16755;
        double r16764 = r16756 * r16763;
        double r16765 = 3.0;
        double r16766 = r16765 * r16755;
        double r16767 = r16762 - r16766;
        double r16768 = r16758 * r16767;
        double r16769 = r16764 + r16768;
        double r16770 = r16761 * r16769;
        double r16771 = r16760 + r16770;
        double r16772 = r16771 - r16762;
        return r16772;
}


double f_of(float a, float b) {
        float r16773 = a;
        float r16774 = r16773 * r16773;
        float r16775 = b;
        float r16776 = r16775 * r16775;
        float r16777 = r16774 + r16776;
        float r16778 = sqrt(r16777);
        float r16779 = r16778 * r16778;
        float r16780 = r16779 * r16779;
        float r16781 = 4.0f;
        float r16782 = 1.0f;
        float r16783 = r16782 + r16773;
        float r16784 = r16774 * r16783;
        float r16785 = 3.0f;
        float r16786 = r16785 * r16773;
        float r16787 = r16782 - r16786;
        float r16788 = r16776 * r16787;
        float r16789 = r16784 + r16788;
        float r16790 = r16781 * r16789;
        float r16791 = r16780 + r16790;
        float r16792 = r16791 - r16782;
        return r16792;
}

double f_od(double a, double b) {
        double r16793 = a;
        double r16794 = r16793 * r16793;
        double r16795 = b;
        double r16796 = r16795 * r16795;
        double r16797 = r16794 + r16796;
        double r16798 = sqrt(r16797);
        double r16799 = r16798 * r16798;
        double r16800 = r16799 * r16799;
        double r16801 = 4.0;
        double r16802 = 1.0;
        double r16803 = r16802 + r16793;
        double r16804 = r16794 * r16803;
        double r16805 = 3.0;
        double r16806 = r16805 * r16793;
        double r16807 = r16802 - r16806;
        double r16808 = r16796 * r16807;
        double r16809 = r16804 + r16808;
        double r16810 = r16801 * r16809;
        double r16811 = r16800 + r16810;
        double r16812 = r16811 - r16802;
        return r16812;
}

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 r16813, r16814, r16815, r16816, r16817, r16818, r16819, r16820, r16821, r16822, r16823, r16824, r16825, r16826, r16827, r16828, r16829, r16830;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r16813);
        mpfr_init(r16814);
        mpfr_init(r16815);
        mpfr_init(r16816);
        mpfr_init(r16817);
        mpfr_init(r16818);
        mpfr_init_set_str(r16819, "4", 10, MPFR_RNDN);
        mpfr_init_set_str(r16820, "1", 10, MPFR_RNDN);
        mpfr_init(r16821);
        mpfr_init(r16822);
        mpfr_init_set_str(r16823, "3", 10, MPFR_RNDN);
        mpfr_init(r16824);
        mpfr_init(r16825);
        mpfr_init(r16826);
        mpfr_init(r16827);
        mpfr_init(r16828);
        mpfr_init(r16829);
        mpfr_init(r16830);
}

double f_im(double a, double b) {
        mpfr_set_d(r16813, a, MPFR_RNDN);
        mpfr_sqr(r16814, r16813, MPFR_RNDN);
        mpfr_set_d(r16815, b, MPFR_RNDN);
        mpfr_sqr(r16816, r16815, MPFR_RNDN);
        mpfr_add(r16817, r16814, r16816, MPFR_RNDN);
        mpfr_sqr(r16818, r16817, MPFR_RNDN);
        ;
        ;
        mpfr_add(r16821, r16820, r16813, MPFR_RNDN);
        mpfr_mul(r16822, r16814, r16821, MPFR_RNDN);
        ;
        mpfr_mul(r16824, r16823, r16813, MPFR_RNDN);
        mpfr_sub(r16825, r16820, r16824, MPFR_RNDN);
        mpfr_mul(r16826, r16816, r16825, MPFR_RNDN);
        mpfr_add(r16827, r16822, r16826, MPFR_RNDN);
        mpfr_mul(r16828, r16819, r16827, MPFR_RNDN);
        mpfr_add(r16829, r16818, r16828, MPFR_RNDN);
        mpfr_sub(r16830, r16829, r16820, MPFR_RNDN);
        return mpfr_get_d(r16830, MPFR_RNDN);
}

static mpfr_t r16831, r16832, r16833, r16834, r16835, r16836, r16837, r16838, r16839, r16840, r16841, r16842, r16843, r16844, r16845, r16846, r16847, r16848, r16849, r16850;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16831);
        mpfr_init(r16832);
        mpfr_init(r16833);
        mpfr_init(r16834);
        mpfr_init(r16835);
        mpfr_init(r16836);
        mpfr_init(r16837);
        mpfr_init(r16838);
        mpfr_init_set_str(r16839, "4", 10, MPFR_RNDN);
        mpfr_init_set_str(r16840, "1", 10, MPFR_RNDN);
        mpfr_init(r16841);
        mpfr_init(r16842);
        mpfr_init_set_str(r16843, "3", 10, MPFR_RNDN);
        mpfr_init(r16844);
        mpfr_init(r16845);
        mpfr_init(r16846);
        mpfr_init(r16847);
        mpfr_init(r16848);
        mpfr_init(r16849);
        mpfr_init(r16850);
}

double f_fm(double a, double b) {
        mpfr_set_d(r16831, a, MPFR_RNDN);
        mpfr_sqr(r16832, r16831, MPFR_RNDN);
        mpfr_set_d(r16833, b, MPFR_RNDN);
        mpfr_sqr(r16834, r16833, MPFR_RNDN);
        mpfr_add(r16835, r16832, r16834, MPFR_RNDN);
        mpfr_sqrt(r16836, r16835, MPFR_RNDN);
        mpfr_mul(r16837, r16836, r16836, MPFR_RNDN);
        mpfr_sqr(r16838, r16837, MPFR_RNDN);
        ;
        ;
        mpfr_add(r16841, r16840, r16831, MPFR_RNDN);
        mpfr_mul(r16842, r16832, r16841, MPFR_RNDN);
        ;
        mpfr_mul(r16844, r16843, r16831, MPFR_RNDN);
        mpfr_sub(r16845, r16840, r16844, MPFR_RNDN);
        mpfr_mul(r16846, r16834, r16845, MPFR_RNDN);
        mpfr_add(r16847, r16842, r16846, MPFR_RNDN);
        mpfr_mul(r16848, r16839, r16847, MPFR_RNDN);
        mpfr_add(r16849, r16838, r16848, MPFR_RNDN);
        mpfr_sub(r16850, r16849, r16840, MPFR_RNDN);
        return mpfr_get_d(r16850, MPFR_RNDN);
}

static mpfr_t r16851, r16852, r16853, r16854, r16855, r16856, r16857, r16858, r16859, r16860, r16861, r16862, r16863, r16864, r16865, r16866, r16867, r16868, r16869, r16870;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16851);
        mpfr_init(r16852);
        mpfr_init(r16853);
        mpfr_init(r16854);
        mpfr_init(r16855);
        mpfr_init(r16856);
        mpfr_init(r16857);
        mpfr_init(r16858);
        mpfr_init_set_str(r16859, "4", 10, MPFR_RNDN);
        mpfr_init_set_str(r16860, "1", 10, MPFR_RNDN);
        mpfr_init(r16861);
        mpfr_init(r16862);
        mpfr_init_set_str(r16863, "3", 10, MPFR_RNDN);
        mpfr_init(r16864);
        mpfr_init(r16865);
        mpfr_init(r16866);
        mpfr_init(r16867);
        mpfr_init(r16868);
        mpfr_init(r16869);
        mpfr_init(r16870);
}

double f_dm(double a, double b) {
        mpfr_set_d(r16851, a, MPFR_RNDN);
        mpfr_sqr(r16852, r16851, MPFR_RNDN);
        mpfr_set_d(r16853, b, MPFR_RNDN);
        mpfr_sqr(r16854, r16853, MPFR_RNDN);
        mpfr_add(r16855, r16852, r16854, MPFR_RNDN);
        mpfr_sqrt(r16856, r16855, MPFR_RNDN);
        mpfr_mul(r16857, r16856, r16856, MPFR_RNDN);
        mpfr_sqr(r16858, r16857, MPFR_RNDN);
        ;
        ;
        mpfr_add(r16861, r16860, r16851, MPFR_RNDN);
        mpfr_mul(r16862, r16852, r16861, MPFR_RNDN);
        ;
        mpfr_mul(r16864, r16863, r16851, MPFR_RNDN);
        mpfr_sub(r16865, r16860, r16864, MPFR_RNDN);
        mpfr_mul(r16866, r16854, r16865, MPFR_RNDN);
        mpfr_add(r16867, r16862, r16866, MPFR_RNDN);
        mpfr_mul(r16868, r16859, r16867, MPFR_RNDN);
        mpfr_add(r16869, r16858, r16868, MPFR_RNDN);
        mpfr_sub(r16870, r16869, r16860, MPFR_RNDN);
        return mpfr_get_d(r16870, MPFR_RNDN);
}