#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 = atan2(1.0, 0.0);
        float r21758 = 2;
        float r21759 = r21757 / r21758;
        float r21760 = phi2;
        float r21761 = cos(r21760);
        float r21762 = phi1;
        float r21763 = cos(r21762);
        float r21764 = r21761 * r21763;
        float r21765 = lambda2;
        float r21766 = cos(r21765);
        float r21767 = lambda1;
        float r21768 = cos(r21767);
        float r21769 = sin(r21767);
        float r21770 = sin(r21765);
        float r21771 = r21769 * r21770;
        float r21772 = fma(r21766, r21768, r21771);
        float r21773 = sin(r21760);
        float r21774 = sin(r21762);
        float r21775 = r21773 * r21774;
        float r21776 = fma(r21764, r21772, r21775);
        float r21777 = asin(r21776);
        float r21778 = r21759 - r21777;
        float r21779 = exp(r21778);
        float r21780 = log(r21779);
        float r21781 = R;
        float r21782 = r21780 * r21781;
        return r21782;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r21783 = atan2(1.0, 0.0);
        double r21784 = 2;
        double r21785 = r21783 / r21784;
        double r21786 = phi2;
        double r21787 = cos(r21786);
        double r21788 = phi1;
        double r21789 = cos(r21788);
        double r21790 = r21787 * r21789;
        double r21791 = lambda2;
        double r21792 = cos(r21791);
        double r21793 = lambda1;
        double r21794 = cos(r21793);
        double r21795 = sin(r21793);
        double r21796 = sin(r21791);
        double r21797 = r21795 * r21796;
        double r21798 = fma(r21792, r21794, r21797);
        double r21799 = sin(r21786);
        double r21800 = sin(r21788);
        double r21801 = r21799 * r21800;
        double r21802 = fma(r21790, r21798, r21801);
        double r21803 = asin(r21802);
        double r21804 = r21785 - r21803;
        double r21805 = exp(r21804);
        double r21806 = log(r21805);
        double r21807 = R;
        double r21808 = r21806 * r21807;
        return r21808;
}

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 r21809, r21810, r21811, r21812, r21813, r21814, r21815, r21816, r21817, r21818, r21819, r21820, r21821, r21822, r21823, r21824, r21825;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2128);
        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);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21809, phi1, MPFR_RNDN);
        mpfr_sin(r21810, r21809, MPFR_RNDN);
        mpfr_set_d(r21811, phi2, MPFR_RNDN);
        mpfr_sin(r21812, r21811, MPFR_RNDN);
        mpfr_mul(r21813, r21810, r21812, MPFR_RNDN);
        mpfr_cos(r21814, r21809, MPFR_RNDN);
        mpfr_cos(r21815, r21811, MPFR_RNDN);
        mpfr_mul(r21816, r21814, r21815, MPFR_RNDN);
        mpfr_set_d(r21817, lambda1, MPFR_RNDN);
        mpfr_set_d(r21818, lambda2, MPFR_RNDN);
        mpfr_sub(r21819, r21817, r21818, MPFR_RNDN);
        mpfr_cos(r21820, r21819, MPFR_RNDN);
        mpfr_mul(r21821, r21816, r21820, MPFR_RNDN);
        mpfr_add(r21822, r21813, r21821, MPFR_RNDN);
        mpfr_acos(r21823, r21822, MPFR_RNDN);
        mpfr_set_d(r21824, R, MPFR_RNDN);
        mpfr_mul(r21825, r21823, r21824, MPFR_RNDN);
        return mpfr_get_d(r21825, MPFR_RNDN);
}

static mpfr_t r21826, r21827, r21828, r21829, r21830, r21831, r21832, r21833, r21834, r21835, r21836, r21837, r21838, r21839, r21840, r21841, r21842, r21843, r21844, r21845, r21846, r21847, r21848, r21849, r21850, r21851;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2128);
        mpfr_init(r21826);
        mpfr_init_set_str(r21827, "2", 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);
        mpfr_init(r21848);
        mpfr_init(r21849);
        mpfr_init(r21850);
        mpfr_init(r21851);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_const_pi(r21826, MPFR_RNDN);
        ;
        mpfr_div(r21828, r21826, r21827, MPFR_RNDN);
        mpfr_set_d(r21829, phi2, MPFR_RNDN);
        mpfr_cos(r21830, r21829, MPFR_RNDN);
        mpfr_set_d(r21831, phi1, MPFR_RNDN);
        mpfr_cos(r21832, r21831, MPFR_RNDN);
        mpfr_mul(r21833, r21830, r21832, MPFR_RNDN);
        mpfr_set_d(r21834, lambda2, MPFR_RNDN);
        mpfr_cos(r21835, r21834, MPFR_RNDN);
        mpfr_set_d(r21836, lambda1, MPFR_RNDN);
        mpfr_cos(r21837, r21836, MPFR_RNDN);
        mpfr_sin(r21838, r21836, MPFR_RNDN);
        mpfr_sin(r21839, r21834, MPFR_RNDN);
        mpfr_mul(r21840, r21838, r21839, MPFR_RNDN);
        mpfr_fma(r21841, r21835, r21837, r21840, MPFR_RNDN);
        mpfr_sin(r21842, r21829, MPFR_RNDN);
        mpfr_sin(r21843, r21831, MPFR_RNDN);
        mpfr_mul(r21844, r21842, r21843, MPFR_RNDN);
        mpfr_fma(r21845, r21833, r21841, r21844, MPFR_RNDN);
        mpfr_asin(r21846, r21845, MPFR_RNDN);
        mpfr_sub(r21847, r21828, r21846, MPFR_RNDN);
        mpfr_exp(r21848, r21847, MPFR_RNDN);
        mpfr_log(r21849, r21848, MPFR_RNDN);
        mpfr_set_d(r21850, R, MPFR_RNDN);
        mpfr_mul(r21851, r21849, r21850, MPFR_RNDN);
        return mpfr_get_d(r21851, MPFR_RNDN);
}

static mpfr_t r21852, r21853, r21854, r21855, r21856, r21857, r21858, r21859, r21860, r21861, r21862, r21863, r21864, r21865, r21866, r21867, r21868, r21869, r21870, r21871, r21872, r21873, r21874, r21875, r21876, r21877;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2128);
        mpfr_init(r21852);
        mpfr_init_set_str(r21853, "2", 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);
        mpfr_init(r21874);
        mpfr_init(r21875);
        mpfr_init(r21876);
        mpfr_init(r21877);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_const_pi(r21852, MPFR_RNDN);
        ;
        mpfr_div(r21854, r21852, r21853, MPFR_RNDN);
        mpfr_set_d(r21855, phi2, MPFR_RNDN);
        mpfr_cos(r21856, r21855, MPFR_RNDN);
        mpfr_set_d(r21857, phi1, MPFR_RNDN);
        mpfr_cos(r21858, r21857, MPFR_RNDN);
        mpfr_mul(r21859, r21856, r21858, MPFR_RNDN);
        mpfr_set_d(r21860, lambda2, MPFR_RNDN);
        mpfr_cos(r21861, r21860, MPFR_RNDN);
        mpfr_set_d(r21862, lambda1, MPFR_RNDN);
        mpfr_cos(r21863, r21862, MPFR_RNDN);
        mpfr_sin(r21864, r21862, MPFR_RNDN);
        mpfr_sin(r21865, r21860, MPFR_RNDN);
        mpfr_mul(r21866, r21864, r21865, MPFR_RNDN);
        mpfr_fma(r21867, r21861, r21863, r21866, MPFR_RNDN);
        mpfr_sin(r21868, r21855, MPFR_RNDN);
        mpfr_sin(r21869, r21857, MPFR_RNDN);
        mpfr_mul(r21870, r21868, r21869, MPFR_RNDN);
        mpfr_fma(r21871, r21859, r21867, r21870, MPFR_RNDN);
        mpfr_asin(r21872, r21871, MPFR_RNDN);
        mpfr_sub(r21873, r21854, r21872, MPFR_RNDN);
        mpfr_exp(r21874, r21873, MPFR_RNDN);
        mpfr_log(r21875, r21874, MPFR_RNDN);
        mpfr_set_d(r21876, R, MPFR_RNDN);
        mpfr_mul(r21877, r21875, r21876, MPFR_RNDN);
        return mpfr_get_d(r21877, MPFR_RNDN);
}