#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 r21723 = phi1;
        float r21724 = sin(r21723);
        float r21725 = phi2;
        float r21726 = sin(r21725);
        float r21727 = r21724 * r21726;
        float r21728 = cos(r21723);
        float r21729 = cos(r21725);
        float r21730 = r21728 * r21729;
        float r21731 = lambda1;
        float r21732 = lambda2;
        float r21733 = r21731 - r21732;
        float r21734 = cos(r21733);
        float r21735 = r21730 * r21734;
        float r21736 = r21727 + r21735;
        float r21737 = acos(r21736);
        float r21738 = R;
        float r21739 = r21737 * r21738;
        return r21739;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r21740 = phi1;
        double r21741 = sin(r21740);
        double r21742 = phi2;
        double r21743 = sin(r21742);
        double r21744 = r21741 * r21743;
        double r21745 = cos(r21740);
        double r21746 = cos(r21742);
        double r21747 = r21745 * r21746;
        double r21748 = lambda1;
        double r21749 = lambda2;
        double r21750 = r21748 - r21749;
        double r21751 = cos(r21750);
        double r21752 = r21747 * r21751;
        double r21753 = r21744 + r21752;
        double r21754 = acos(r21753);
        double r21755 = R;
        double r21756 = r21754 * r21755;
        return r21756;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r21757 = phi2;
        float r21758 = cos(r21757);
        float r21759 = phi1;
        float r21760 = cos(r21759);
        float r21761 = r21758 * r21760;
        float r21762 = lambda1;
        float r21763 = cos(r21762);
        float r21764 = lambda2;
        float r21765 = cos(r21764);
        float r21766 = r21763 * r21765;
        float r21767 = sin(r21762);
        float r21768 = -r21764;
        float r21769 = sin(r21768);
        float r21770 = r21767 * r21769;
        float r21771 = r21766 - r21770;
        float r21772 = sin(r21757);
        float r21773 = sin(r21759);
        float r21774 = r21772 * r21773;
        float r21775 = log1p(r21774);
        float r21776 = expm1(r21775);
        float r21777 = fma(r21761, r21771, r21776);
        float r21778 = acos(r21777);
        float r21779 = R;
        float r21780 = r21778 * r21779;
        return r21780;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r21781 = phi2;
        double r21782 = cos(r21781);
        double r21783 = phi1;
        double r21784 = cos(r21783);
        double r21785 = r21782 * r21784;
        double r21786 = lambda1;
        double r21787 = cos(r21786);
        double r21788 = lambda2;
        double r21789 = cos(r21788);
        double r21790 = r21787 * r21789;
        double r21791 = sin(r21786);
        double r21792 = -r21788;
        double r21793 = sin(r21792);
        double r21794 = r21791 * r21793;
        double r21795 = r21790 - r21794;
        double r21796 = sin(r21781);
        double r21797 = sin(r21783);
        double r21798 = r21796 * r21797;
        double r21799 = log1p(r21798);
        double r21800 = expm1(r21799);
        double r21801 = fma(r21785, r21795, r21800);
        double r21802 = acos(r21801);
        double r21803 = R;
        double r21804 = r21802 * r21803;
        return r21804;
}

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 r21805, r21806, r21807, r21808, r21809, r21810, r21811, r21812, r21813, r21814, r21815, r21816, r21817, r21818, r21819, r21820, r21821;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2128);
        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);
        mpfr_init(r21818);
        mpfr_init(r21819);
        mpfr_init(r21820);
        mpfr_init(r21821);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21805, phi1, MPFR_RNDN);
        mpfr_sin(r21806, r21805, MPFR_RNDN);
        mpfr_set_d(r21807, phi2, MPFR_RNDN);
        mpfr_sin(r21808, r21807, MPFR_RNDN);
        mpfr_mul(r21809, r21806, r21808, MPFR_RNDN);
        mpfr_cos(r21810, r21805, MPFR_RNDN);
        mpfr_cos(r21811, r21807, MPFR_RNDN);
        mpfr_mul(r21812, r21810, r21811, MPFR_RNDN);
        mpfr_set_d(r21813, lambda1, MPFR_RNDN);
        mpfr_set_d(r21814, lambda2, MPFR_RNDN);
        mpfr_sub(r21815, r21813, r21814, MPFR_RNDN);
        mpfr_cos(r21816, r21815, MPFR_RNDN);
        mpfr_mul(r21817, r21812, r21816, MPFR_RNDN);
        mpfr_add(r21818, r21809, r21817, MPFR_RNDN);
        mpfr_acos(r21819, r21818, MPFR_RNDN);
        mpfr_set_d(r21820, R, MPFR_RNDN);
        mpfr_mul(r21821, r21819, r21820, MPFR_RNDN);
        return mpfr_get_d(r21821, MPFR_RNDN);
}

static mpfr_t r21822, r21823, r21824, r21825, r21826, r21827, r21828, r21829, r21830, r21831, r21832, r21833, r21834, r21835, r21836, r21837, r21838, r21839, r21840, r21841, r21842, r21843, r21844, r21845;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2128);
        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);
        mpfr_init(r21844);
        mpfr_init(r21845);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21822, phi2, MPFR_RNDN);
        mpfr_cos(r21823, r21822, MPFR_RNDN);
        mpfr_set_d(r21824, phi1, MPFR_RNDN);
        mpfr_cos(r21825, r21824, MPFR_RNDN);
        mpfr_mul(r21826, r21823, r21825, MPFR_RNDN);
        mpfr_set_d(r21827, lambda1, MPFR_RNDN);
        mpfr_cos(r21828, r21827, MPFR_RNDN);
        mpfr_set_d(r21829, lambda2, MPFR_RNDN);
        mpfr_cos(r21830, r21829, MPFR_RNDN);
        mpfr_mul(r21831, r21828, r21830, MPFR_RNDN);
        mpfr_sin(r21832, r21827, MPFR_RNDN);
        mpfr_neg(r21833, r21829, MPFR_RNDN);
        mpfr_sin(r21834, r21833, MPFR_RNDN);
        mpfr_mul(r21835, r21832, r21834, MPFR_RNDN);
        mpfr_sub(r21836, r21831, r21835, MPFR_RNDN);
        mpfr_sin(r21837, r21822, MPFR_RNDN);
        mpfr_sin(r21838, r21824, MPFR_RNDN);
        mpfr_mul(r21839, r21837, r21838, MPFR_RNDN);
        mpfr_log1p(r21840, r21839, MPFR_RNDN);
        mpfr_expm1(r21841, r21840, MPFR_RNDN);
        mpfr_fma(r21842, r21826, r21836, r21841, MPFR_RNDN);
        mpfr_acos(r21843, r21842, MPFR_RNDN);
        mpfr_set_d(r21844, R, MPFR_RNDN);
        mpfr_mul(r21845, r21843, r21844, MPFR_RNDN);
        return mpfr_get_d(r21845, MPFR_RNDN);
}

static mpfr_t 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(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(r21846, phi2, MPFR_RNDN);
        mpfr_cos(r21847, r21846, MPFR_RNDN);
        mpfr_set_d(r21848, phi1, MPFR_RNDN);
        mpfr_cos(r21849, r21848, MPFR_RNDN);
        mpfr_mul(r21850, r21847, r21849, MPFR_RNDN);
        mpfr_set_d(r21851, lambda1, MPFR_RNDN);
        mpfr_cos(r21852, r21851, MPFR_RNDN);
        mpfr_set_d(r21853, lambda2, MPFR_RNDN);
        mpfr_cos(r21854, r21853, MPFR_RNDN);
        mpfr_mul(r21855, r21852, r21854, MPFR_RNDN);
        mpfr_sin(r21856, r21851, MPFR_RNDN);
        mpfr_neg(r21857, r21853, MPFR_RNDN);
        mpfr_sin(r21858, r21857, MPFR_RNDN);
        mpfr_mul(r21859, r21856, r21858, MPFR_RNDN);
        mpfr_sub(r21860, r21855, r21859, MPFR_RNDN);
        mpfr_sin(r21861, r21846, MPFR_RNDN);
        mpfr_sin(r21862, r21848, MPFR_RNDN);
        mpfr_mul(r21863, r21861, r21862, MPFR_RNDN);
        mpfr_log1p(r21864, r21863, MPFR_RNDN);
        mpfr_expm1(r21865, r21864, MPFR_RNDN);
        mpfr_fma(r21866, r21850, r21860, r21865, MPFR_RNDN);
        mpfr_acos(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);
}

