#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 r21735 = w0;
        float r21736 = 1;
        float r21737 = M;
        float r21738 = D;
        float r21739 = r21737 * r21738;
        float r21740 = 2;
        float r21741 = d;
        float r21742 = r21740 * r21741;
        float r21743 = r21739 / r21742;
        float r21744 = pow(r21743, r21740);
        float r21745 = h;
        float r21746 = l;
        float r21747 = r21745 / r21746;
        float r21748 = r21744 * r21747;
        float r21749 = r21736 - r21748;
        float r21750 = sqrt(r21749);
        float r21751 = r21735 * r21750;
        return r21751;
}

double f_id(double w0, double M, double D, double h, double l, double d) {
        double r21752 = w0;
        double r21753 = 1;
        double r21754 = M;
        double r21755 = D;
        double r21756 = r21754 * r21755;
        double r21757 = 2;
        double r21758 = d;
        double r21759 = r21757 * r21758;
        double r21760 = r21756 / r21759;
        double r21761 = pow(r21760, r21757);
        double r21762 = h;
        double r21763 = l;
        double r21764 = r21762 / r21763;
        double r21765 = r21761 * r21764;
        double r21766 = r21753 - r21765;
        double r21767 = sqrt(r21766);
        double r21768 = r21752 * r21767;
        return r21768;
}


double f_of(float w0, float M, float D, float h, float l, float d) {
        float r21769 = w0;
        float r21770 = 1;
        float r21771 = M;
        float r21772 = D;
        float r21773 = r21771 * r21772;
        float r21774 = 2;
        float r21775 = d;
        float r21776 = r21774 * r21775;
        float r21777 = r21773 / r21776;
        float r21778 = h;
        float r21779 = r21777 * r21778;
        float r21780 = r21777 * r21779;
        float r21781 = l;
        float r21782 = r21770 / r21781;
        float r21783 = cbrt(r21782);
        float r21784 = r21783 * r21783;
        float r21785 = r21780 * r21784;
        float r21786 = r21785 * r21783;
        float r21787 = r21770 - r21786;
        float r21788 = sqrt(r21787);
        float r21789 = r21769 * r21788;
        return r21789;
}

double f_od(double w0, double M, double D, double h, double l, double d) {
        double r21790 = w0;
        double r21791 = 1;
        double r21792 = M;
        double r21793 = D;
        double r21794 = r21792 * r21793;
        double r21795 = 2;
        double r21796 = d;
        double r21797 = r21795 * r21796;
        double r21798 = r21794 / r21797;
        double r21799 = h;
        double r21800 = r21798 * r21799;
        double r21801 = r21798 * r21800;
        double r21802 = l;
        double r21803 = r21791 / r21802;
        double r21804 = cbrt(r21803);
        double r21805 = r21804 * r21804;
        double r21806 = r21801 * r21805;
        double r21807 = r21806 * r21804;
        double r21808 = r21791 - r21807;
        double r21809 = sqrt(r21808);
        double r21810 = r21790 * r21809;
        return r21810;
}

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 r21811, r21812, r21813, r21814, r21815, r21816, r21817, r21818, r21819, r21820, r21821, r21822, r21823, r21824, r21825, r21826, r21827;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r21811);
        mpfr_init_set_str(r21812, "1", 10, MPFR_RNDN);
        mpfr_init(r21813);
        mpfr_init(r21814);
        mpfr_init(r21815);
        mpfr_init_set_str(r21816, "2", 10, MPFR_RNDN);
        mpfr_init(r21817);
        mpfr_init(r21818);
        mpfr_init(r21819);
        mpfr_init(r21820);
        mpfr_init(r21821);
        mpfr_init(r21822);
        mpfr_init(r21823);
        mpfr_init(r21824);
        mpfr_init(r21825);
        mpfr_init(r21826);
        mpfr_init(r21827);
}

double f_im(double w0, double M, double D, double h, double l, double d) {
        mpfr_set_d(r21811, w0, MPFR_RNDN);
        ;
        mpfr_set_d(r21813, M, MPFR_RNDN);
        mpfr_set_d(r21814, D, MPFR_RNDN);
        mpfr_mul(r21815, r21813, r21814, MPFR_RNDN);
        ;
        mpfr_set_d(r21817, d, MPFR_RNDN);
        mpfr_mul(r21818, r21816, r21817, MPFR_RNDN);
        mpfr_div(r21819, r21815, r21818, MPFR_RNDN);
        mpfr_pow(r21820, r21819, r21816, MPFR_RNDN);
        mpfr_set_d(r21821, h, MPFR_RNDN);
        mpfr_set_d(r21822, l, MPFR_RNDN);
        mpfr_div(r21823, r21821, r21822, MPFR_RNDN);
        mpfr_mul(r21824, r21820, r21823, MPFR_RNDN);
        mpfr_sub(r21825, r21812, r21824, MPFR_RNDN);
        mpfr_sqrt(r21826, r21825, MPFR_RNDN);
        mpfr_mul(r21827, r21811, r21826, MPFR_RNDN);
        return mpfr_get_d(r21827, MPFR_RNDN);
}

static mpfr_t r21828, r21829, r21830, r21831, r21832, r21833, r21834, r21835, r21836, r21837, r21838, r21839, r21840, r21841, r21842, r21843, r21844, r21845, r21846, r21847, r21848;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r21828);
        mpfr_init_set_str(r21829, "1", 10, MPFR_RNDN);
        mpfr_init(r21830);
        mpfr_init(r21831);
        mpfr_init(r21832);
        mpfr_init_set_str(r21833, "2", 10, MPFR_RNDN);
        mpfr_init(r21834);
        mpfr_init(r21835);
        mpfr_init(r21836);
        mpfr_init(r21837);
        mpfr_init(r21838);
        mpfr_init(r21839);
        mpfr_init(r21840);
        mpfr_init(r21841);
        mpfr_init(r21842);
        mpfr_init(r21843);
        mpfr_init(r21844);
        mpfr_init(r21845);
        mpfr_init(r21846);
        mpfr_init(r21847);
        mpfr_init(r21848);
}

double f_fm(double w0, double M, double D, double h, double l, double d) {
        mpfr_set_d(r21828, w0, MPFR_RNDN);
        ;
        mpfr_set_d(r21830, M, MPFR_RNDN);
        mpfr_set_d(r21831, D, MPFR_RNDN);
        mpfr_mul(r21832, r21830, r21831, MPFR_RNDN);
        ;
        mpfr_set_d(r21834, d, MPFR_RNDN);
        mpfr_mul(r21835, r21833, r21834, MPFR_RNDN);
        mpfr_div(r21836, r21832, r21835, MPFR_RNDN);
        mpfr_set_d(r21837, h, MPFR_RNDN);
        mpfr_mul(r21838, r21836, r21837, MPFR_RNDN);
        mpfr_mul(r21839, r21836, r21838, MPFR_RNDN);
        mpfr_set_d(r21840, l, MPFR_RNDN);
        mpfr_div(r21841, r21829, r21840, MPFR_RNDN);
        mpfr_cbrt(r21842, r21841, MPFR_RNDN);
        mpfr_mul(r21843, r21842, r21842, MPFR_RNDN);
        mpfr_mul(r21844, r21839, r21843, MPFR_RNDN);
        mpfr_mul(r21845, r21844, r21842, MPFR_RNDN);
        mpfr_sub(r21846, r21829, r21845, MPFR_RNDN);
        mpfr_sqrt(r21847, r21846, MPFR_RNDN);
        mpfr_mul(r21848, r21828, r21847, MPFR_RNDN);
        return mpfr_get_d(r21848, MPFR_RNDN);
}

static mpfr_t r21849, r21850, r21851, r21852, r21853, r21854, r21855, r21856, r21857, r21858, r21859, r21860, r21861, r21862, r21863, r21864, r21865, r21866, r21867, r21868, r21869;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r21849);
        mpfr_init_set_str(r21850, "1", 10, MPFR_RNDN);
        mpfr_init(r21851);
        mpfr_init(r21852);
        mpfr_init(r21853);
        mpfr_init_set_str(r21854, "2", 10, MPFR_RNDN);
        mpfr_init(r21855);
        mpfr_init(r21856);
        mpfr_init(r21857);
        mpfr_init(r21858);
        mpfr_init(r21859);
        mpfr_init(r21860);
        mpfr_init(r21861);
        mpfr_init(r21862);
        mpfr_init(r21863);
        mpfr_init(r21864);
        mpfr_init(r21865);
        mpfr_init(r21866);
        mpfr_init(r21867);
        mpfr_init(r21868);
        mpfr_init(r21869);
}

double f_dm(double w0, double M, double D, double h, double l, double d) {
        mpfr_set_d(r21849, w0, MPFR_RNDN);
        ;
        mpfr_set_d(r21851, M, MPFR_RNDN);
        mpfr_set_d(r21852, D, MPFR_RNDN);
        mpfr_mul(r21853, r21851, r21852, MPFR_RNDN);
        ;
        mpfr_set_d(r21855, d, MPFR_RNDN);
        mpfr_mul(r21856, r21854, r21855, MPFR_RNDN);
        mpfr_div(r21857, r21853, r21856, MPFR_RNDN);
        mpfr_set_d(r21858, h, MPFR_RNDN);
        mpfr_mul(r21859, r21857, r21858, MPFR_RNDN);
        mpfr_mul(r21860, r21857, r21859, MPFR_RNDN);
        mpfr_set_d(r21861, l, MPFR_RNDN);
        mpfr_div(r21862, r21850, r21861, MPFR_RNDN);
        mpfr_cbrt(r21863, r21862, MPFR_RNDN);
        mpfr_mul(r21864, r21863, r21863, MPFR_RNDN);
        mpfr_mul(r21865, r21860, r21864, MPFR_RNDN);
        mpfr_mul(r21866, r21865, r21863, MPFR_RNDN);
        mpfr_sub(r21867, r21850, r21866, MPFR_RNDN);
        mpfr_sqrt(r21868, r21867, MPFR_RNDN);
        mpfr_mul(r21869, r21849, r21868, MPFR_RNDN);
        return mpfr_get_d(r21869, MPFR_RNDN);
}