#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 r21747 = phi1;
        float r21748 = sin(r21747);
        float r21749 = phi2;
        float r21750 = sin(r21749);
        float r21751 = r21748 * r21750;
        float r21752 = cos(r21747);
        float r21753 = cos(r21749);
        float r21754 = r21752 * r21753;
        float r21755 = lambda1;
        float r21756 = lambda2;
        float r21757 = r21755 - r21756;
        float r21758 = cos(r21757);
        float r21759 = r21754 * r21758;
        float r21760 = r21751 + r21759;
        float r21761 = acos(r21760);
        float r21762 = R;
        float r21763 = r21761 * r21762;
        return r21763;
}

double f_id(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 = cos(r21764);
        double r21770 = cos(r21766);
        double r21771 = r21769 * r21770;
        double r21772 = lambda1;
        double r21773 = lambda2;
        double r21774 = r21772 - r21773;
        double r21775 = cos(r21774);
        double r21776 = r21771 * r21775;
        double r21777 = r21768 + r21776;
        double r21778 = acos(r21777);
        double r21779 = R;
        double r21780 = r21778 * r21779;
        return r21780;
}


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

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r21805 = lambda1;
        double r21806 = cos(r21805);
        double r21807 = lambda2;
        double r21808 = cos(r21807);
        double r21809 = sin(r21805);
        double r21810 = sin(r21807);
        double r21811 = r21809 * r21810;
        double r21812 = fma(r21806, r21808, r21811);
        double r21813 = phi1;
        double r21814 = cos(r21813);
        double r21815 = phi2;
        double r21816 = cos(r21815);
        double r21817 = r21814 * r21816;
        double r21818 = sin(r21813);
        double r21819 = sin(r21815);
        double r21820 = r21818 * r21819;
        double r21821 = fma(r21812, r21817, r21820);
        double r21822 = acos(r21821);
        double r21823 = exp(r21822);
        double r21824 = sqrt(r21823);
        double r21825 = log(r21824);
        double r21826 = r21825 + r21825;
        double r21827 = R;
        double r21828 = r21826 * r21827;
        return r21828;
}

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 r21829, r21830, r21831, r21832, r21833, r21834, r21835, r21836, r21837, r21838, r21839, r21840, r21841, r21842, r21843, r21844, r21845;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2128);
        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_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21829, phi1, MPFR_RNDN);
        mpfr_sin(r21830, r21829, MPFR_RNDN);
        mpfr_set_d(r21831, phi2, MPFR_RNDN);
        mpfr_sin(r21832, r21831, MPFR_RNDN);
        mpfr_mul(r21833, r21830, r21832, MPFR_RNDN);
        mpfr_cos(r21834, r21829, MPFR_RNDN);
        mpfr_cos(r21835, r21831, MPFR_RNDN);
        mpfr_mul(r21836, r21834, r21835, MPFR_RNDN);
        mpfr_set_d(r21837, lambda1, MPFR_RNDN);
        mpfr_set_d(r21838, lambda2, MPFR_RNDN);
        mpfr_sub(r21839, r21837, r21838, MPFR_RNDN);
        mpfr_cos(r21840, r21839, MPFR_RNDN);
        mpfr_mul(r21841, r21836, r21840, MPFR_RNDN);
        mpfr_add(r21842, r21833, 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_fm() {
        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_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21846, lambda1, MPFR_RNDN);
        mpfr_cos(r21847, r21846, MPFR_RNDN);
        mpfr_set_d(r21848, lambda2, MPFR_RNDN);
        mpfr_cos(r21849, r21848, MPFR_RNDN);
        mpfr_sin(r21850, r21846, MPFR_RNDN);
        mpfr_sin(r21851, r21848, MPFR_RNDN);
        mpfr_mul(r21852, r21850, r21851, MPFR_RNDN);
        mpfr_fma(r21853, r21847, r21849, r21852, MPFR_RNDN);
        mpfr_set_d(r21854, phi1, MPFR_RNDN);
        mpfr_cos(r21855, r21854, MPFR_RNDN);
        mpfr_set_d(r21856, phi2, MPFR_RNDN);
        mpfr_cos(r21857, r21856, MPFR_RNDN);
        mpfr_mul(r21858, r21855, r21857, MPFR_RNDN);
        mpfr_sin(r21859, r21854, MPFR_RNDN);
        mpfr_sin(r21860, r21856, MPFR_RNDN);
        mpfr_mul(r21861, r21859, r21860, MPFR_RNDN);
        mpfr_fma(r21862, r21853, r21858, r21861, MPFR_RNDN);
        mpfr_acos(r21863, r21862, MPFR_RNDN);
        mpfr_exp(r21864, r21863, MPFR_RNDN);
        mpfr_sqrt(r21865, r21864, MPFR_RNDN);
        mpfr_log(r21866, r21865, MPFR_RNDN);
        mpfr_add(r21867, r21866, r21866, MPFR_RNDN);
        mpfr_set_d(r21868, R, MPFR_RNDN);
        mpfr_mul(r21869, r21867, r21868, MPFR_RNDN);
        return mpfr_get_d(r21869, MPFR_RNDN);
}

static mpfr_t r21870, r21871, r21872, r21873, r21874, r21875, r21876, r21877, r21878, r21879, r21880, r21881, r21882, r21883, r21884, r21885, r21886, r21887, r21888, r21889, r21890, r21891, r21892, r21893;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2128);
        mpfr_init(r21870);
        mpfr_init(r21871);
        mpfr_init(r21872);
        mpfr_init(r21873);
        mpfr_init(r21874);
        mpfr_init(r21875);
        mpfr_init(r21876);
        mpfr_init(r21877);
        mpfr_init(r21878);
        mpfr_init(r21879);
        mpfr_init(r21880);
        mpfr_init(r21881);
        mpfr_init(r21882);
        mpfr_init(r21883);
        mpfr_init(r21884);
        mpfr_init(r21885);
        mpfr_init(r21886);
        mpfr_init(r21887);
        mpfr_init(r21888);
        mpfr_init(r21889);
        mpfr_init(r21890);
        mpfr_init(r21891);
        mpfr_init(r21892);
        mpfr_init(r21893);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21870, lambda1, MPFR_RNDN);
        mpfr_cos(r21871, r21870, MPFR_RNDN);
        mpfr_set_d(r21872, lambda2, MPFR_RNDN);
        mpfr_cos(r21873, r21872, MPFR_RNDN);
        mpfr_sin(r21874, r21870, MPFR_RNDN);
        mpfr_sin(r21875, r21872, MPFR_RNDN);
        mpfr_mul(r21876, r21874, r21875, MPFR_RNDN);
        mpfr_fma(r21877, r21871, r21873, r21876, MPFR_RNDN);
        mpfr_set_d(r21878, phi1, MPFR_RNDN);
        mpfr_cos(r21879, r21878, MPFR_RNDN);
        mpfr_set_d(r21880, phi2, MPFR_RNDN);
        mpfr_cos(r21881, r21880, MPFR_RNDN);
        mpfr_mul(r21882, r21879, r21881, MPFR_RNDN);
        mpfr_sin(r21883, r21878, MPFR_RNDN);
        mpfr_sin(r21884, r21880, MPFR_RNDN);
        mpfr_mul(r21885, r21883, r21884, MPFR_RNDN);
        mpfr_fma(r21886, r21877, r21882, r21885, MPFR_RNDN);
        mpfr_acos(r21887, r21886, MPFR_RNDN);
        mpfr_exp(r21888, r21887, MPFR_RNDN);
        mpfr_sqrt(r21889, r21888, MPFR_RNDN);
        mpfr_log(r21890, r21889, MPFR_RNDN);
        mpfr_add(r21891, r21890, r21890, MPFR_RNDN);
        mpfr_set_d(r21892, R, MPFR_RNDN);
        mpfr_mul(r21893, r21891, r21892, MPFR_RNDN);
        return mpfr_get_d(r21893, MPFR_RNDN);
}