#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 r22730 = a;
        float r22731 = r22730 * r22730;
        float r22732 = b;
        float r22733 = r22732 * r22732;
        float r22734 = r22731 + r22733;
        float r22735 = 2;
        float r22736 = pow(r22734, r22735);
        float r22737 = 4;
        float r22738 = 1;
        float r22739 = r22738 + r22730;
        float r22740 = r22731 * r22739;
        float r22741 = 3;
        float r22742 = r22741 * r22730;
        float r22743 = r22738 - r22742;
        float r22744 = r22733 * r22743;
        float r22745 = r22740 + r22744;
        float r22746 = r22737 * r22745;
        float r22747 = r22736 + r22746;
        float r22748 = r22747 - r22738;
        return r22748;
}

double f_id(double a, double b) {
        double r22749 = a;
        double r22750 = r22749 * r22749;
        double r22751 = b;
        double r22752 = r22751 * r22751;
        double r22753 = r22750 + r22752;
        double r22754 = 2;
        double r22755 = pow(r22753, r22754);
        double r22756 = 4;
        double r22757 = 1;
        double r22758 = r22757 + r22749;
        double r22759 = r22750 * r22758;
        double r22760 = 3;
        double r22761 = r22760 * r22749;
        double r22762 = r22757 - r22761;
        double r22763 = r22752 * r22762;
        double r22764 = r22759 + r22763;
        double r22765 = r22756 * r22764;
        double r22766 = r22755 + r22765;
        double r22767 = r22766 - r22757;
        return r22767;
}


double f_of(float a, float b) {
        float r22768 = a;
        float r22769 = r22768 * r22768;
        float r22770 = b;
        float r22771 = r22770 * r22770;
        float r22772 = r22769 + r22771;
        float r22773 = 2;
        float r22774 = pow(r22772, r22773);
        float r22775 = 4;
        float r22776 = 1;
        float r22777 = r22776 + r22768;
        float r22778 = r22769 * r22777;
        float r22779 = 3;
        float r22780 = r22779 * r22768;
        float r22781 = r22776 - r22780;
        float r22782 = r22771 * r22781;
        float r22783 = r22778 + r22782;
        float r22784 = r22775 * r22783;
        float r22785 = r22774 + r22784;
        float r22786 = sqrt(r22785);
        float r22787 = r22786 * r22786;
        float r22788 = r22787 - r22776;
        return r22788;
}

double f_od(double a, double b) {
        double r22789 = a;
        double r22790 = r22789 * r22789;
        double r22791 = b;
        double r22792 = r22791 * r22791;
        double r22793 = r22790 + r22792;
        double r22794 = 2;
        double r22795 = pow(r22793, r22794);
        double r22796 = 4;
        double r22797 = 1;
        double r22798 = r22797 + r22789;
        double r22799 = r22790 * r22798;
        double r22800 = 3;
        double r22801 = r22800 * r22789;
        double r22802 = r22797 - r22801;
        double r22803 = r22792 * r22802;
        double r22804 = r22799 + r22803;
        double r22805 = r22796 * r22804;
        double r22806 = r22795 + r22805;
        double r22807 = sqrt(r22806);
        double r22808 = r22807 * r22807;
        double r22809 = r22808 - r22797;
        return r22809;
}

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 r22810, r22811, r22812, r22813, r22814, r22815, r22816, r22817, r22818, r22819, r22820, r22821, r22822, r22823, r22824, r22825, r22826, r22827, r22828;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r22810);
        mpfr_init(r22811);
        mpfr_init(r22812);
        mpfr_init(r22813);
        mpfr_init(r22814);
        mpfr_init_set_str(r22815, "2", 10, MPFR_RNDN);
        mpfr_init(r22816);
        mpfr_init_set_str(r22817, "4", 10, MPFR_RNDN);
        mpfr_init_set_str(r22818, "1", 10, MPFR_RNDN);
        mpfr_init(r22819);
        mpfr_init(r22820);
        mpfr_init_set_str(r22821, "3", 10, MPFR_RNDN);
        mpfr_init(r22822);
        mpfr_init(r22823);
        mpfr_init(r22824);
        mpfr_init(r22825);
        mpfr_init(r22826);
        mpfr_init(r22827);
        mpfr_init(r22828);
}

double f_im(double a, double b) {
        mpfr_set_d(r22810, a, MPFR_RNDN);
        mpfr_mul(r22811, r22810, r22810, MPFR_RNDN);
        mpfr_set_d(r22812, b, MPFR_RNDN);
        mpfr_mul(r22813, r22812, r22812, MPFR_RNDN);
        mpfr_add(r22814, r22811, r22813, MPFR_RNDN);
        ;
        mpfr_pow(r22816, r22814, r22815, MPFR_RNDN);
        ;
        ;
        mpfr_add(r22819, r22818, r22810, MPFR_RNDN);
        mpfr_mul(r22820, r22811, r22819, MPFR_RNDN);
        ;
        mpfr_mul(r22822, r22821, r22810, MPFR_RNDN);
        mpfr_sub(r22823, r22818, r22822, MPFR_RNDN);
        mpfr_mul(r22824, r22813, r22823, MPFR_RNDN);
        mpfr_add(r22825, r22820, r22824, MPFR_RNDN);
        mpfr_mul(r22826, r22817, r22825, MPFR_RNDN);
        mpfr_add(r22827, r22816, r22826, MPFR_RNDN);
        mpfr_sub(r22828, r22827, r22818, MPFR_RNDN);
        return mpfr_get_d(r22828, MPFR_RNDN);
}

static mpfr_t r22829, r22830, r22831, r22832, r22833, r22834, r22835, r22836, r22837, r22838, r22839, r22840, r22841, r22842, r22843, r22844, r22845, r22846, r22847, r22848, r22849;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22829);
        mpfr_init(r22830);
        mpfr_init(r22831);
        mpfr_init(r22832);
        mpfr_init(r22833);
        mpfr_init_set_str(r22834, "2", 10, MPFR_RNDN);
        mpfr_init(r22835);
        mpfr_init_set_str(r22836, "4", 10, MPFR_RNDN);
        mpfr_init_set_str(r22837, "1", 10, MPFR_RNDN);
        mpfr_init(r22838);
        mpfr_init(r22839);
        mpfr_init_set_str(r22840, "3", 10, MPFR_RNDN);
        mpfr_init(r22841);
        mpfr_init(r22842);
        mpfr_init(r22843);
        mpfr_init(r22844);
        mpfr_init(r22845);
        mpfr_init(r22846);
        mpfr_init(r22847);
        mpfr_init(r22848);
        mpfr_init(r22849);
}

double f_fm(double a, double b) {
        mpfr_set_d(r22829, a, MPFR_RNDN);
        mpfr_mul(r22830, r22829, r22829, MPFR_RNDN);
        mpfr_set_d(r22831, b, MPFR_RNDN);
        mpfr_mul(r22832, r22831, r22831, MPFR_RNDN);
        mpfr_add(r22833, r22830, r22832, MPFR_RNDN);
        ;
        mpfr_pow(r22835, r22833, r22834, MPFR_RNDN);
        ;
        ;
        mpfr_add(r22838, r22837, r22829, MPFR_RNDN);
        mpfr_mul(r22839, r22830, r22838, MPFR_RNDN);
        ;
        mpfr_mul(r22841, r22840, r22829, MPFR_RNDN);
        mpfr_sub(r22842, r22837, r22841, MPFR_RNDN);
        mpfr_mul(r22843, r22832, r22842, MPFR_RNDN);
        mpfr_add(r22844, r22839, r22843, MPFR_RNDN);
        mpfr_mul(r22845, r22836, r22844, MPFR_RNDN);
        mpfr_add(r22846, r22835, r22845, MPFR_RNDN);
        mpfr_sqrt(r22847, r22846, MPFR_RNDN);
        mpfr_mul(r22848, r22847, r22847, MPFR_RNDN);
        mpfr_sub(r22849, r22848, r22837, MPFR_RNDN);
        return mpfr_get_d(r22849, MPFR_RNDN);
}

static mpfr_t r22850, r22851, r22852, r22853, r22854, r22855, r22856, r22857, r22858, r22859, r22860, r22861, r22862, r22863, r22864, r22865, r22866, r22867, r22868, r22869, r22870;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22850);
        mpfr_init(r22851);
        mpfr_init(r22852);
        mpfr_init(r22853);
        mpfr_init(r22854);
        mpfr_init_set_str(r22855, "2", 10, MPFR_RNDN);
        mpfr_init(r22856);
        mpfr_init_set_str(r22857, "4", 10, MPFR_RNDN);
        mpfr_init_set_str(r22858, "1", 10, MPFR_RNDN);
        mpfr_init(r22859);
        mpfr_init(r22860);
        mpfr_init_set_str(r22861, "3", 10, MPFR_RNDN);
        mpfr_init(r22862);
        mpfr_init(r22863);
        mpfr_init(r22864);
        mpfr_init(r22865);
        mpfr_init(r22866);
        mpfr_init(r22867);
        mpfr_init(r22868);
        mpfr_init(r22869);
        mpfr_init(r22870);
}

double f_dm(double a, double b) {
        mpfr_set_d(r22850, a, MPFR_RNDN);
        mpfr_mul(r22851, r22850, r22850, MPFR_RNDN);
        mpfr_set_d(r22852, b, MPFR_RNDN);
        mpfr_mul(r22853, r22852, r22852, MPFR_RNDN);
        mpfr_add(r22854, r22851, r22853, MPFR_RNDN);
        ;
        mpfr_pow(r22856, r22854, r22855, MPFR_RNDN);
        ;
        ;
        mpfr_add(r22859, r22858, r22850, MPFR_RNDN);
        mpfr_mul(r22860, r22851, r22859, MPFR_RNDN);
        ;
        mpfr_mul(r22862, r22861, r22850, MPFR_RNDN);
        mpfr_sub(r22863, r22858, r22862, MPFR_RNDN);
        mpfr_mul(r22864, r22853, r22863, MPFR_RNDN);
        mpfr_add(r22865, r22860, r22864, MPFR_RNDN);
        mpfr_mul(r22866, r22857, r22865, MPFR_RNDN);
        mpfr_add(r22867, r22856, r22866, MPFR_RNDN);
        mpfr_sqrt(r22868, r22867, MPFR_RNDN);
        mpfr_mul(r22869, r22868, r22868, MPFR_RNDN);
        mpfr_sub(r22870, r22869, r22858, MPFR_RNDN);
        return mpfr_get_d(r22870, MPFR_RNDN);
}