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

char *name = "Henrywood and Agarwal, Equation (9a)";

double f_if(float w0, float M, float D, float h, float l, float d) {
        float r22747 = w0;
        float r22748 = 1;
        float r22749 = M;
        float r22750 = D;
        float r22751 = r22749 * r22750;
        float r22752 = 2;
        float r22753 = d;
        float r22754 = r22752 * r22753;
        float r22755 = r22751 / r22754;
        float r22756 = pow(r22755, r22752);
        float r22757 = h;
        float r22758 = l;
        float r22759 = r22757 / r22758;
        float r22760 = r22756 * r22759;
        float r22761 = r22748 - r22760;
        float r22762 = sqrt(r22761);
        float r22763 = r22747 * r22762;
        return r22763;
}

double f_id(double w0, double M, double D, double h, double l, double d) {
        double r22764 = w0;
        double r22765 = 1;
        double r22766 = M;
        double r22767 = D;
        double r22768 = r22766 * r22767;
        double r22769 = 2;
        double r22770 = d;
        double r22771 = r22769 * r22770;
        double r22772 = r22768 / r22771;
        double r22773 = pow(r22772, r22769);
        double r22774 = h;
        double r22775 = l;
        double r22776 = r22774 / r22775;
        double r22777 = r22773 * r22776;
        double r22778 = r22765 - r22777;
        double r22779 = sqrt(r22778);
        double r22780 = r22764 * r22779;
        return r22780;
}


double f_of(float w0, float M, float D, float h, float l, float d) {
        float r22781 = w0;
        float r22782 = 1;
        float r22783 = M;
        float r22784 = D;
        float r22785 = r22783 * r22784;
        float r22786 = 2;
        float r22787 = d;
        float r22788 = r22786 * r22787;
        float r22789 = r22785 / r22788;
        float r22790 = cbrt(r22789);
        float r22791 = r22790 * r22790;
        float r22792 = h;
        float r22793 = r22790 * r22792;
        float r22794 = r22791 * r22793;
        float r22795 = r22789 * r22794;
        float r22796 = l;
        float r22797 = r22782 / r22796;
        float r22798 = r22795 * r22797;
        float r22799 = r22782 - r22798;
        float r22800 = sqrt(r22799);
        float r22801 = r22781 * r22800;
        return r22801;
}

double f_od(double w0, double M, double D, double h, double l, double d) {
        double r22802 = w0;
        double r22803 = 1;
        double r22804 = M;
        double r22805 = D;
        double r22806 = r22804 * r22805;
        double r22807 = 2;
        double r22808 = d;
        double r22809 = r22807 * r22808;
        double r22810 = r22806 / r22809;
        double r22811 = cbrt(r22810);
        double r22812 = r22811 * r22811;
        double r22813 = h;
        double r22814 = r22811 * r22813;
        double r22815 = r22812 * r22814;
        double r22816 = r22810 * r22815;
        double r22817 = l;
        double r22818 = r22803 / r22817;
        double r22819 = r22816 * r22818;
        double r22820 = r22803 - r22819;
        double r22821 = sqrt(r22820);
        double r22822 = r22802 * r22821;
        return r22822;
}

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 r22823, r22824, r22825, r22826, r22827, r22828, r22829, r22830, r22831, r22832, r22833, r22834, r22835, r22836, r22837, r22838, r22839;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r22823);
        mpfr_init_set_str(r22824, "1", 10, MPFR_RNDN);
        mpfr_init(r22825);
        mpfr_init(r22826);
        mpfr_init(r22827);
        mpfr_init_set_str(r22828, "2", 10, MPFR_RNDN);
        mpfr_init(r22829);
        mpfr_init(r22830);
        mpfr_init(r22831);
        mpfr_init(r22832);
        mpfr_init(r22833);
        mpfr_init(r22834);
        mpfr_init(r22835);
        mpfr_init(r22836);
        mpfr_init(r22837);
        mpfr_init(r22838);
        mpfr_init(r22839);
}

double f_im(double w0, double M, double D, double h, double l, double d) {
        mpfr_set_d(r22823, w0, MPFR_RNDN);
        ;
        mpfr_set_d(r22825, M, MPFR_RNDN);
        mpfr_set_d(r22826, D, MPFR_RNDN);
        mpfr_mul(r22827, r22825, r22826, MPFR_RNDN);
        ;
        mpfr_set_d(r22829, d, MPFR_RNDN);
        mpfr_mul(r22830, r22828, r22829, MPFR_RNDN);
        mpfr_div(r22831, r22827, r22830, MPFR_RNDN);
        mpfr_pow(r22832, r22831, r22828, MPFR_RNDN);
        mpfr_set_d(r22833, h, MPFR_RNDN);
        mpfr_set_d(r22834, l, MPFR_RNDN);
        mpfr_div(r22835, r22833, r22834, MPFR_RNDN);
        mpfr_mul(r22836, r22832, r22835, MPFR_RNDN);
        mpfr_sub(r22837, r22824, r22836, MPFR_RNDN);
        mpfr_sqrt(r22838, r22837, MPFR_RNDN);
        mpfr_mul(r22839, r22823, r22838, MPFR_RNDN);
        return mpfr_get_d(r22839, MPFR_RNDN);
}

static mpfr_t r22840, r22841, r22842, r22843, r22844, r22845, r22846, r22847, r22848, r22849, r22850, r22851, r22852, r22853, r22854, r22855, r22856, r22857, r22858, r22859, r22860;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22840);
        mpfr_init_set_str(r22841, "1", 10, MPFR_RNDN);
        mpfr_init(r22842);
        mpfr_init(r22843);
        mpfr_init(r22844);
        mpfr_init_set_str(r22845, "2", 10, MPFR_RNDN);
        mpfr_init(r22846);
        mpfr_init(r22847);
        mpfr_init(r22848);
        mpfr_init(r22849);
        mpfr_init(r22850);
        mpfr_init(r22851);
        mpfr_init(r22852);
        mpfr_init(r22853);
        mpfr_init(r22854);
        mpfr_init(r22855);
        mpfr_init(r22856);
        mpfr_init(r22857);
        mpfr_init(r22858);
        mpfr_init(r22859);
        mpfr_init(r22860);
}

double f_fm(double w0, double M, double D, double h, double l, double d) {
        mpfr_set_d(r22840, w0, MPFR_RNDN);
        ;
        mpfr_set_d(r22842, M, MPFR_RNDN);
        mpfr_set_d(r22843, D, MPFR_RNDN);
        mpfr_mul(r22844, r22842, r22843, MPFR_RNDN);
        ;
        mpfr_set_d(r22846, d, MPFR_RNDN);
        mpfr_mul(r22847, r22845, r22846, MPFR_RNDN);
        mpfr_div(r22848, r22844, r22847, MPFR_RNDN);
        mpfr_cbrt(r22849, r22848, MPFR_RNDN);
        mpfr_mul(r22850, r22849, r22849, MPFR_RNDN);
        mpfr_set_d(r22851, h, MPFR_RNDN);
        mpfr_mul(r22852, r22849, r22851, MPFR_RNDN);
        mpfr_mul(r22853, r22850, r22852, MPFR_RNDN);
        mpfr_mul(r22854, r22848, r22853, MPFR_RNDN);
        mpfr_set_d(r22855, l, MPFR_RNDN);
        mpfr_div(r22856, r22841, r22855, MPFR_RNDN);
        mpfr_mul(r22857, r22854, r22856, MPFR_RNDN);
        mpfr_sub(r22858, r22841, r22857, MPFR_RNDN);
        mpfr_sqrt(r22859, r22858, MPFR_RNDN);
        mpfr_mul(r22860, r22840, r22859, MPFR_RNDN);
        return mpfr_get_d(r22860, MPFR_RNDN);
}

static mpfr_t r22861, r22862, r22863, r22864, r22865, r22866, r22867, r22868, r22869, r22870, r22871, r22872, r22873, r22874, r22875, r22876, r22877, r22878, r22879, r22880, r22881;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22861);
        mpfr_init_set_str(r22862, "1", 10, MPFR_RNDN);
        mpfr_init(r22863);
        mpfr_init(r22864);
        mpfr_init(r22865);
        mpfr_init_set_str(r22866, "2", 10, MPFR_RNDN);
        mpfr_init(r22867);
        mpfr_init(r22868);
        mpfr_init(r22869);
        mpfr_init(r22870);
        mpfr_init(r22871);
        mpfr_init(r22872);
        mpfr_init(r22873);
        mpfr_init(r22874);
        mpfr_init(r22875);
        mpfr_init(r22876);
        mpfr_init(r22877);
        mpfr_init(r22878);
        mpfr_init(r22879);
        mpfr_init(r22880);
        mpfr_init(r22881);
}

double f_dm(double w0, double M, double D, double h, double l, double d) {
        mpfr_set_d(r22861, w0, MPFR_RNDN);
        ;
        mpfr_set_d(r22863, M, MPFR_RNDN);
        mpfr_set_d(r22864, D, MPFR_RNDN);
        mpfr_mul(r22865, r22863, r22864, MPFR_RNDN);
        ;
        mpfr_set_d(r22867, d, MPFR_RNDN);
        mpfr_mul(r22868, r22866, r22867, MPFR_RNDN);
        mpfr_div(r22869, r22865, r22868, MPFR_RNDN);
        mpfr_cbrt(r22870, r22869, MPFR_RNDN);
        mpfr_mul(r22871, r22870, r22870, MPFR_RNDN);
        mpfr_set_d(r22872, h, MPFR_RNDN);
        mpfr_mul(r22873, r22870, r22872, MPFR_RNDN);
        mpfr_mul(r22874, r22871, r22873, MPFR_RNDN);
        mpfr_mul(r22875, r22869, r22874, MPFR_RNDN);
        mpfr_set_d(r22876, l, MPFR_RNDN);
        mpfr_div(r22877, r22862, r22876, MPFR_RNDN);
        mpfr_mul(r22878, r22875, r22877, MPFR_RNDN);
        mpfr_sub(r22879, r22862, r22878, MPFR_RNDN);
        mpfr_sqrt(r22880, r22879, MPFR_RNDN);
        mpfr_mul(r22881, r22861, r22880, MPFR_RNDN);
        return mpfr_get_d(r22881, MPFR_RNDN);
}