#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 r21719 = phi1;
        float r21720 = sin(r21719);
        float r21721 = phi2;
        float r21722 = sin(r21721);
        float r21723 = r21720 * r21722;
        float r21724 = cos(r21719);
        float r21725 = cos(r21721);
        float r21726 = r21724 * r21725;
        float r21727 = lambda1;
        float r21728 = lambda2;
        float r21729 = r21727 - r21728;
        float r21730 = cos(r21729);
        float r21731 = r21726 * r21730;
        float r21732 = r21723 + r21731;
        float r21733 = acos(r21732);
        float r21734 = R;
        float r21735 = r21733 * r21734;
        return r21735;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r21736 = phi1;
        double r21737 = sin(r21736);
        double r21738 = phi2;
        double r21739 = sin(r21738);
        double r21740 = r21737 * r21739;
        double r21741 = cos(r21736);
        double r21742 = cos(r21738);
        double r21743 = r21741 * r21742;
        double r21744 = lambda1;
        double r21745 = lambda2;
        double r21746 = r21744 - r21745;
        double r21747 = cos(r21746);
        double r21748 = r21743 * r21747;
        double r21749 = r21740 + r21748;
        double r21750 = acos(r21749);
        double r21751 = R;
        double r21752 = r21750 * r21751;
        return r21752;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r21753 = phi2;
        float r21754 = sin(r21753);
        float r21755 = phi1;
        float r21756 = sin(r21755);
        float r21757 = r21754 * r21756;
        float r21758 = 3;
        float r21759 = pow(r21757, r21758);
        float r21760 = cbrt(r21759);
        float r21761 = cos(r21755);
        float r21762 = cos(r21753);
        float r21763 = r21761 * r21762;
        float r21764 = lambda1;
        float r21765 = cos(r21764);
        float r21766 = lambda2;
        float r21767 = cos(r21766);
        float r21768 = r21765 * r21767;
        float r21769 = sin(r21764);
        float r21770 = -r21766;
        float r21771 = sin(r21770);
        float r21772 = r21769 * r21771;
        float r21773 = r21768 - r21772;
        float r21774 = r21763 * r21773;
        float r21775 = r21760 + r21774;
        float r21776 = acos(r21775);
        float r21777 = R;
        float r21778 = r21776 * r21777;
        return r21778;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r21779 = phi2;
        double r21780 = sin(r21779);
        double r21781 = phi1;
        double r21782 = sin(r21781);
        double r21783 = r21780 * r21782;
        double r21784 = 3;
        double r21785 = pow(r21783, r21784);
        double r21786 = cbrt(r21785);
        double r21787 = cos(r21781);
        double r21788 = cos(r21779);
        double r21789 = r21787 * r21788;
        double r21790 = lambda1;
        double r21791 = cos(r21790);
        double r21792 = lambda2;
        double r21793 = cos(r21792);
        double r21794 = r21791 * r21793;
        double r21795 = sin(r21790);
        double r21796 = -r21792;
        double r21797 = sin(r21796);
        double r21798 = r21795 * r21797;
        double r21799 = r21794 - r21798;
        double r21800 = r21789 * r21799;
        double r21801 = r21786 + 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, r21846, r21847;

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_set_str(r21827, "3", 10, MPFR_RNDN);
        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);
        mpfr_init(r21846);
        mpfr_init(r21847);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21822, phi2, MPFR_RNDN);
        mpfr_sin(r21823, r21822, MPFR_RNDN);
        mpfr_set_d(r21824, phi1, MPFR_RNDN);
        mpfr_sin(r21825, r21824, MPFR_RNDN);
        mpfr_mul(r21826, r21823, r21825, MPFR_RNDN);
        ;
        mpfr_pow(r21828, r21826, r21827, MPFR_RNDN);
        mpfr_cbrt(r21829, r21828, MPFR_RNDN);
        mpfr_cos(r21830, r21824, MPFR_RNDN);
        mpfr_cos(r21831, r21822, MPFR_RNDN);
        mpfr_mul(r21832, r21830, r21831, MPFR_RNDN);
        mpfr_set_d(r21833, lambda1, MPFR_RNDN);
        mpfr_cos(r21834, r21833, MPFR_RNDN);
        mpfr_set_d(r21835, lambda2, MPFR_RNDN);
        mpfr_cos(r21836, r21835, MPFR_RNDN);
        mpfr_mul(r21837, r21834, r21836, MPFR_RNDN);
        mpfr_sin(r21838, r21833, MPFR_RNDN);
        mpfr_neg(r21839, r21835, MPFR_RNDN);
        mpfr_sin(r21840, r21839, MPFR_RNDN);
        mpfr_mul(r21841, r21838, r21840, MPFR_RNDN);
        mpfr_sub(r21842, r21837, r21841, MPFR_RNDN);
        mpfr_mul(r21843, r21832, r21842, MPFR_RNDN);
        mpfr_add(r21844, r21829, r21843, MPFR_RNDN);
        mpfr_acos(r21845, r21844, MPFR_RNDN);
        mpfr_set_d(r21846, R, MPFR_RNDN);
        mpfr_mul(r21847, r21845, r21846, MPFR_RNDN);
        return mpfr_get_d(r21847, MPFR_RNDN);
}

static mpfr_t r21848, r21849, r21850, r21851, r21852, r21853, r21854, r21855, r21856, r21857, r21858, r21859, r21860, r21861, r21862, r21863, r21864, r21865, r21866, r21867, r21868, r21869, r21870, r21871, r21872, r21873;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2128);
        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);
        mpfr_init(r21862);
        mpfr_init(r21863);
        mpfr_init(r21864);
        mpfr_init(r21865);
        mpfr_init(r21866);
        mpfr_init(r21867);
        mpfr_init(r21868);
        mpfr_init(r21869);
        mpfr_init(r21870);
        mpfr_init(r21871);
        mpfr_init(r21872);
        mpfr_init(r21873);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21848, phi2, MPFR_RNDN);
        mpfr_sin(r21849, r21848, MPFR_RNDN);
        mpfr_set_d(r21850, phi1, MPFR_RNDN);
        mpfr_sin(r21851, r21850, MPFR_RNDN);
        mpfr_mul(r21852, r21849, r21851, MPFR_RNDN);
        ;
        mpfr_pow(r21854, r21852, r21853, MPFR_RNDN);
        mpfr_cbrt(r21855, r21854, MPFR_RNDN);
        mpfr_cos(r21856, r21850, MPFR_RNDN);
        mpfr_cos(r21857, r21848, MPFR_RNDN);
        mpfr_mul(r21858, r21856, r21857, MPFR_RNDN);
        mpfr_set_d(r21859, lambda1, MPFR_RNDN);
        mpfr_cos(r21860, r21859, MPFR_RNDN);
        mpfr_set_d(r21861, lambda2, MPFR_RNDN);
        mpfr_cos(r21862, r21861, MPFR_RNDN);
        mpfr_mul(r21863, r21860, r21862, MPFR_RNDN);
        mpfr_sin(r21864, r21859, MPFR_RNDN);
        mpfr_neg(r21865, r21861, MPFR_RNDN);
        mpfr_sin(r21866, r21865, MPFR_RNDN);
        mpfr_mul(r21867, r21864, r21866, MPFR_RNDN);
        mpfr_sub(r21868, r21863, r21867, MPFR_RNDN);
        mpfr_mul(r21869, r21858, r21868, MPFR_RNDN);
        mpfr_add(r21870, r21855, r21869, MPFR_RNDN);
        mpfr_acos(r21871, r21870, MPFR_RNDN);
        mpfr_set_d(r21872, R, MPFR_RNDN);
        mpfr_mul(r21873, r21871, r21872, MPFR_RNDN);
        return mpfr_get_d(r21873, MPFR_RNDN);
}