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

char *name = "Spherical law of cosines";

double f_if(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r21703 = phi1;
        float r21704 = sin(r21703);
        float r21705 = phi2;
        float r21706 = sin(r21705);
        float r21707 = r21704 * r21706;
        float r21708 = cos(r21703);
        float r21709 = cos(r21705);
        float r21710 = r21708 * r21709;
        float r21711 = lambda1;
        float r21712 = lambda2;
        float r21713 = r21711 - r21712;
        float r21714 = cos(r21713);
        float r21715 = r21710 * r21714;
        float r21716 = r21707 + r21715;
        float r21717 = acos(r21716);
        float r21718 = R;
        float r21719 = r21717 * r21718;
        return r21719;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r21720 = phi1;
        double r21721 = sin(r21720);
        double r21722 = phi2;
        double r21723 = sin(r21722);
        double r21724 = r21721 * r21723;
        double r21725 = cos(r21720);
        double r21726 = cos(r21722);
        double r21727 = r21725 * r21726;
        double r21728 = lambda1;
        double r21729 = lambda2;
        double r21730 = r21728 - r21729;
        double r21731 = cos(r21730);
        double r21732 = r21727 * r21731;
        double r21733 = r21724 + r21732;
        double r21734 = acos(r21733);
        double r21735 = R;
        double r21736 = r21734 * r21735;
        return r21736;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r21737 = phi1;
        float r21738 = sin(r21737);
        float r21739 = phi2;
        float r21740 = sin(r21739);
        float r21741 = r21738 * r21740;
        float r21742 = lambda2;
        float r21743 = cos(r21742);
        float r21744 = lambda1;
        float r21745 = cos(r21744);
        float r21746 = r21743 * r21745;
        float r21747 = sin(r21742);
        float r21748 = sin(r21744);
        float r21749 = r21747 * r21748;
        float r21750 = r21746 + r21749;
        float r21751 = r21750 * r21750;
        float r21752 = cos(r21739);
        float r21753 = cos(r21737);
        float r21754 = r21752 * r21753;
        float r21755 = 3;
        float r21756 = pow(r21754, r21755);
        float r21757 = r21750 * r21756;
        float r21758 = r21751 * r21757;
        float r21759 = cbrt(r21758);
        float r21760 = r21741 + r21759;
        float r21761 = acos(r21760);
        float r21762 = R;
        float r21763 = r21761 * r21762;
        return r21763;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r21764 = phi1;
        double r21765 = sin(r21764);
        double r21766 = phi2;
        double r21767 = sin(r21766);
        double r21768 = r21765 * r21767;
        double r21769 = lambda2;
        double r21770 = cos(r21769);
        double r21771 = lambda1;
        double r21772 = cos(r21771);
        double r21773 = r21770 * r21772;
        double r21774 = sin(r21769);
        double r21775 = sin(r21771);
        double r21776 = r21774 * r21775;
        double r21777 = r21773 + r21776;
        double r21778 = r21777 * r21777;
        double r21779 = cos(r21766);
        double r21780 = cos(r21764);
        double r21781 = r21779 * r21780;
        double r21782 = 3;
        double r21783 = pow(r21781, r21782);
        double r21784 = r21777 * r21783;
        double r21785 = r21778 * r21784;
        double r21786 = cbrt(r21785);
        double r21787 = r21768 + r21786;
        double r21788 = acos(r21787);
        double r21789 = R;
        double r21790 = r21788 * r21789;
        return r21790;
}

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 r21791, r21792, r21793, r21794, r21795, r21796, r21797, r21798, r21799, r21800, r21801, r21802, r21803, r21804, r21805, r21806, r21807;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2128);
        mpfr_init(r21791);
        mpfr_init(r21792);
        mpfr_init(r21793);
        mpfr_init(r21794);
        mpfr_init(r21795);
        mpfr_init(r21796);
        mpfr_init(r21797);
        mpfr_init(r21798);
        mpfr_init(r21799);
        mpfr_init(r21800);
        mpfr_init(r21801);
        mpfr_init(r21802);
        mpfr_init(r21803);
        mpfr_init(r21804);
        mpfr_init(r21805);
        mpfr_init(r21806);
        mpfr_init(r21807);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21791, phi1, MPFR_RNDN);
        mpfr_sin(r21792, r21791, MPFR_RNDN);
        mpfr_set_d(r21793, phi2, MPFR_RNDN);
        mpfr_sin(r21794, r21793, MPFR_RNDN);
        mpfr_mul(r21795, r21792, r21794, MPFR_RNDN);
        mpfr_cos(r21796, r21791, MPFR_RNDN);
        mpfr_cos(r21797, r21793, MPFR_RNDN);
        mpfr_mul(r21798, r21796, r21797, MPFR_RNDN);
        mpfr_set_d(r21799, lambda1, MPFR_RNDN);
        mpfr_set_d(r21800, lambda2, MPFR_RNDN);
        mpfr_sub(r21801, r21799, r21800, MPFR_RNDN);
        mpfr_cos(r21802, r21801, MPFR_RNDN);
        mpfr_mul(r21803, r21798, r21802, MPFR_RNDN);
        mpfr_add(r21804, r21795, r21803, MPFR_RNDN);
        mpfr_acos(r21805, r21804, MPFR_RNDN);
        mpfr_set_d(r21806, R, MPFR_RNDN);
        mpfr_mul(r21807, r21805, r21806, MPFR_RNDN);
        return mpfr_get_d(r21807, MPFR_RNDN);
}

static mpfr_t r21808, r21809, r21810, r21811, r21812, r21813, r21814, r21815, r21816, r21817, r21818, r21819, r21820, r21821, r21822, r21823, r21824, r21825, r21826, r21827, r21828, r21829, r21830, r21831, r21832, r21833, r21834;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2128);
        mpfr_init(r21808);
        mpfr_init(r21809);
        mpfr_init(r21810);
        mpfr_init(r21811);
        mpfr_init(r21812);
        mpfr_init(r21813);
        mpfr_init(r21814);
        mpfr_init(r21815);
        mpfr_init(r21816);
        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_set_str(r21826, "3", 10, MPFR_RNDN);
        mpfr_init(r21827);
        mpfr_init(r21828);
        mpfr_init(r21829);
        mpfr_init(r21830);
        mpfr_init(r21831);
        mpfr_init(r21832);
        mpfr_init(r21833);
        mpfr_init(r21834);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21808, phi1, MPFR_RNDN);
        mpfr_sin(r21809, r21808, MPFR_RNDN);
        mpfr_set_d(r21810, phi2, MPFR_RNDN);
        mpfr_sin(r21811, r21810, MPFR_RNDN);
        mpfr_mul(r21812, r21809, r21811, MPFR_RNDN);
        mpfr_set_d(r21813, lambda2, MPFR_RNDN);
        mpfr_cos(r21814, r21813, MPFR_RNDN);
        mpfr_set_d(r21815, lambda1, MPFR_RNDN);
        mpfr_cos(r21816, r21815, MPFR_RNDN);
        mpfr_mul(r21817, r21814, r21816, MPFR_RNDN);
        mpfr_sin(r21818, r21813, MPFR_RNDN);
        mpfr_sin(r21819, r21815, MPFR_RNDN);
        mpfr_mul(r21820, r21818, r21819, MPFR_RNDN);
        mpfr_add(r21821, r21817, r21820, MPFR_RNDN);
        mpfr_mul(r21822, r21821, r21821, MPFR_RNDN);
        mpfr_cos(r21823, r21810, MPFR_RNDN);
        mpfr_cos(r21824, r21808, MPFR_RNDN);
        mpfr_mul(r21825, r21823, r21824, MPFR_RNDN);
        ;
        mpfr_pow(r21827, r21825, r21826, MPFR_RNDN);
        mpfr_mul(r21828, r21821, r21827, MPFR_RNDN);
        mpfr_mul(r21829, r21822, r21828, MPFR_RNDN);
        mpfr_cbrt(r21830, r21829, MPFR_RNDN);
        mpfr_add(r21831, r21812, r21830, MPFR_RNDN);
        mpfr_acos(r21832, r21831, MPFR_RNDN);
        mpfr_set_d(r21833, R, MPFR_RNDN);
        mpfr_mul(r21834, r21832, r21833, MPFR_RNDN);
        return mpfr_get_d(r21834, MPFR_RNDN);
}

static mpfr_t r21835, r21836, r21837, r21838, r21839, r21840, r21841, r21842, r21843, r21844, r21845, r21846, r21847, r21848, r21849, r21850, r21851, r21852, r21853, r21854, r21855, r21856, r21857, r21858, r21859, r21860, r21861;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2128);
        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);
        mpfr_init(r21849);
        mpfr_init(r21850);
        mpfr_init(r21851);
        mpfr_init(r21852);
        mpfr_init_set_str(r21853, "3", 10, MPFR_RNDN);
        mpfr_init(r21854);
        mpfr_init(r21855);
        mpfr_init(r21856);
        mpfr_init(r21857);
        mpfr_init(r21858);
        mpfr_init(r21859);
        mpfr_init(r21860);
        mpfr_init(r21861);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21835, phi1, MPFR_RNDN);
        mpfr_sin(r21836, r21835, MPFR_RNDN);
        mpfr_set_d(r21837, phi2, MPFR_RNDN);
        mpfr_sin(r21838, r21837, MPFR_RNDN);
        mpfr_mul(r21839, r21836, r21838, MPFR_RNDN);
        mpfr_set_d(r21840, lambda2, MPFR_RNDN);
        mpfr_cos(r21841, r21840, MPFR_RNDN);
        mpfr_set_d(r21842, lambda1, MPFR_RNDN);
        mpfr_cos(r21843, r21842, MPFR_RNDN);
        mpfr_mul(r21844, r21841, r21843, MPFR_RNDN);
        mpfr_sin(r21845, r21840, MPFR_RNDN);
        mpfr_sin(r21846, r21842, MPFR_RNDN);
        mpfr_mul(r21847, r21845, r21846, MPFR_RNDN);
        mpfr_add(r21848, r21844, r21847, MPFR_RNDN);
        mpfr_mul(r21849, r21848, r21848, MPFR_RNDN);
        mpfr_cos(r21850, r21837, MPFR_RNDN);
        mpfr_cos(r21851, r21835, MPFR_RNDN);
        mpfr_mul(r21852, r21850, r21851, MPFR_RNDN);
        ;
        mpfr_pow(r21854, r21852, r21853, MPFR_RNDN);
        mpfr_mul(r21855, r21848, r21854, MPFR_RNDN);
        mpfr_mul(r21856, r21849, r21855, MPFR_RNDN);
        mpfr_cbrt(r21857, r21856, MPFR_RNDN);
        mpfr_add(r21858, r21839, r21857, MPFR_RNDN);
        mpfr_acos(r21859, r21858, MPFR_RNDN);
        mpfr_set_d(r21860, R, MPFR_RNDN);
        mpfr_mul(r21861, r21859, r21860, MPFR_RNDN);
        return mpfr_get_d(r21861, MPFR_RNDN);
}