#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 r21715 = phi1;
        float r21716 = sin(r21715);
        float r21717 = phi2;
        float r21718 = sin(r21717);
        float r21719 = r21716 * r21718;
        float r21720 = cos(r21715);
        float r21721 = cos(r21717);
        float r21722 = r21720 * r21721;
        float r21723 = lambda1;
        float r21724 = lambda2;
        float r21725 = r21723 - r21724;
        float r21726 = cos(r21725);
        float r21727 = r21722 * r21726;
        float r21728 = r21719 + r21727;
        float r21729 = acos(r21728);
        float r21730 = R;
        float r21731 = r21729 * r21730;
        return r21731;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r21732 = phi1;
        double r21733 = sin(r21732);
        double r21734 = phi2;
        double r21735 = sin(r21734);
        double r21736 = r21733 * r21735;
        double r21737 = cos(r21732);
        double r21738 = cos(r21734);
        double r21739 = r21737 * r21738;
        double r21740 = lambda1;
        double r21741 = lambda2;
        double r21742 = r21740 - r21741;
        double r21743 = cos(r21742);
        double r21744 = r21739 * r21743;
        double r21745 = r21736 + r21744;
        double r21746 = acos(r21745);
        double r21747 = R;
        double r21748 = r21746 * r21747;
        return r21748;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r21749 = phi2;
        float r21750 = sin(r21749);
        float r21751 = phi1;
        float r21752 = sin(r21751);
        float r21753 = r21750 * r21752;
        float r21754 = lambda2;
        float r21755 = cos(r21754);
        float r21756 = lambda1;
        float r21757 = cos(r21756);
        float r21758 = r21755 * r21757;
        float r21759 = sin(r21756);
        float r21760 = sin(r21754);
        float r21761 = r21759 * r21760;
        float r21762 = r21758 + r21761;
        float r21763 = cos(r21749);
        float r21764 = cos(r21751);
        float r21765 = r21763 * r21764;
        float r21766 = r21762 * r21765;
        float r21767 = r21753 + r21766;
        float r21768 = acos(r21767);
        float r21769 = exp(r21768);
        float r21770 = log(r21769);
        float r21771 = log(r21770);
        float r21772 = exp(r21771);
        float r21773 = R;
        float r21774 = r21772 * r21773;
        return r21774;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r21775 = phi2;
        double r21776 = sin(r21775);
        double r21777 = phi1;
        double r21778 = sin(r21777);
        double r21779 = r21776 * r21778;
        double r21780 = lambda2;
        double r21781 = cos(r21780);
        double r21782 = lambda1;
        double r21783 = cos(r21782);
        double r21784 = r21781 * r21783;
        double r21785 = sin(r21782);
        double r21786 = sin(r21780);
        double r21787 = r21785 * r21786;
        double r21788 = r21784 + r21787;
        double r21789 = cos(r21775);
        double r21790 = cos(r21777);
        double r21791 = r21789 * r21790;
        double r21792 = r21788 * r21791;
        double r21793 = r21779 + r21792;
        double r21794 = acos(r21793);
        double r21795 = exp(r21794);
        double r21796 = log(r21795);
        double r21797 = log(r21796);
        double r21798 = exp(r21797);
        double r21799 = R;
        double r21800 = r21798 * r21799;
        return r21800;
}

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 r21801, r21802, r21803, r21804, r21805, r21806, r21807, r21808, r21809, r21810, r21811, r21812, r21813, r21814, r21815, r21816, r21817;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2128);
        mpfr_init(r21801);
        mpfr_init(r21802);
        mpfr_init(r21803);
        mpfr_init(r21804);
        mpfr_init(r21805);
        mpfr_init(r21806);
        mpfr_init(r21807);
        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);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21801, phi1, MPFR_RNDN);
        mpfr_sin(r21802, r21801, MPFR_RNDN);
        mpfr_set_d(r21803, phi2, MPFR_RNDN);
        mpfr_sin(r21804, r21803, MPFR_RNDN);
        mpfr_mul(r21805, r21802, r21804, MPFR_RNDN);
        mpfr_cos(r21806, r21801, MPFR_RNDN);
        mpfr_cos(r21807, r21803, MPFR_RNDN);
        mpfr_mul(r21808, r21806, r21807, MPFR_RNDN);
        mpfr_set_d(r21809, lambda1, MPFR_RNDN);
        mpfr_set_d(r21810, lambda2, MPFR_RNDN);
        mpfr_sub(r21811, r21809, r21810, MPFR_RNDN);
        mpfr_cos(r21812, r21811, MPFR_RNDN);
        mpfr_mul(r21813, r21808, r21812, MPFR_RNDN);
        mpfr_add(r21814, r21805, r21813, MPFR_RNDN);
        mpfr_acos(r21815, r21814, MPFR_RNDN);
        mpfr_set_d(r21816, R, MPFR_RNDN);
        mpfr_mul(r21817, r21815, r21816, MPFR_RNDN);
        return mpfr_get_d(r21817, MPFR_RNDN);
}

static mpfr_t r21818, r21819, r21820, r21821, r21822, r21823, r21824, r21825, r21826, r21827, r21828, r21829, r21830, r21831, r21832, r21833, r21834, r21835, r21836, r21837, r21838, r21839, r21840, r21841, r21842, r21843;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2128);
        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);
        mpfr_init(r21828);
        mpfr_init(r21829);
        mpfr_init(r21830);
        mpfr_init(r21831);
        mpfr_init(r21832);
        mpfr_init(r21833);
        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);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21818, phi2, MPFR_RNDN);
        mpfr_sin(r21819, r21818, MPFR_RNDN);
        mpfr_set_d(r21820, phi1, MPFR_RNDN);
        mpfr_sin(r21821, r21820, MPFR_RNDN);
        mpfr_mul(r21822, r21819, r21821, MPFR_RNDN);
        mpfr_set_d(r21823, lambda2, MPFR_RNDN);
        mpfr_cos(r21824, r21823, MPFR_RNDN);
        mpfr_set_d(r21825, lambda1, MPFR_RNDN);
        mpfr_cos(r21826, r21825, MPFR_RNDN);
        mpfr_mul(r21827, r21824, r21826, MPFR_RNDN);
        mpfr_sin(r21828, r21825, MPFR_RNDN);
        mpfr_sin(r21829, r21823, MPFR_RNDN);
        mpfr_mul(r21830, r21828, r21829, MPFR_RNDN);
        mpfr_add(r21831, r21827, r21830, MPFR_RNDN);
        mpfr_cos(r21832, r21818, MPFR_RNDN);
        mpfr_cos(r21833, r21820, MPFR_RNDN);
        mpfr_mul(r21834, r21832, r21833, MPFR_RNDN);
        mpfr_mul(r21835, r21831, r21834, MPFR_RNDN);
        mpfr_add(r21836, r21822, r21835, MPFR_RNDN);
        mpfr_acos(r21837, r21836, MPFR_RNDN);
        mpfr_exp(r21838, r21837, MPFR_RNDN);
        mpfr_log(r21839, r21838, MPFR_RNDN);
        mpfr_log(r21840, r21839, MPFR_RNDN);
        mpfr_exp(r21841, r21840, MPFR_RNDN);
        mpfr_set_d(r21842, R, MPFR_RNDN);
        mpfr_mul(r21843, r21841, r21842, MPFR_RNDN);
        return mpfr_get_d(r21843, MPFR_RNDN);
}

static mpfr_t r21844, r21845, r21846, r21847, r21848, 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(2128);
        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(r21853);
        mpfr_init(r21854);
        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 R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21844, phi2, MPFR_RNDN);
        mpfr_sin(r21845, r21844, MPFR_RNDN);
        mpfr_set_d(r21846, phi1, MPFR_RNDN);
        mpfr_sin(r21847, r21846, MPFR_RNDN);
        mpfr_mul(r21848, r21845, r21847, MPFR_RNDN);
        mpfr_set_d(r21849, lambda2, MPFR_RNDN);
        mpfr_cos(r21850, r21849, MPFR_RNDN);
        mpfr_set_d(r21851, lambda1, MPFR_RNDN);
        mpfr_cos(r21852, r21851, MPFR_RNDN);
        mpfr_mul(r21853, r21850, r21852, MPFR_RNDN);
        mpfr_sin(r21854, r21851, MPFR_RNDN);
        mpfr_sin(r21855, r21849, MPFR_RNDN);
        mpfr_mul(r21856, r21854, r21855, MPFR_RNDN);
        mpfr_add(r21857, r21853, r21856, MPFR_RNDN);
        mpfr_cos(r21858, r21844, MPFR_RNDN);
        mpfr_cos(r21859, r21846, MPFR_RNDN);
        mpfr_mul(r21860, r21858, r21859, MPFR_RNDN);
        mpfr_mul(r21861, r21857, r21860, MPFR_RNDN);
        mpfr_add(r21862, r21848, r21861, MPFR_RNDN);
        mpfr_acos(r21863, r21862, MPFR_RNDN);
        mpfr_exp(r21864, r21863, MPFR_RNDN);
        mpfr_log(r21865, r21864, MPFR_RNDN);
        mpfr_log(r21866, r21865, MPFR_RNDN);
        mpfr_exp(r21867, r21866, MPFR_RNDN);
        mpfr_set_d(r21868, R, MPFR_RNDN);
        mpfr_mul(r21869, r21867, r21868, MPFR_RNDN);
        return mpfr_get_d(r21869, MPFR_RNDN);
}