#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 r20744 = phi1;
        float r20745 = sin(r20744);
        float r20746 = phi2;
        float r20747 = sin(r20746);
        float r20748 = r20745 * r20747;
        float r20749 = cos(r20744);
        float r20750 = cos(r20746);
        float r20751 = r20749 * r20750;
        float r20752 = lambda1;
        float r20753 = lambda2;
        float r20754 = r20752 - r20753;
        float r20755 = cos(r20754);
        float r20756 = r20751 * r20755;
        float r20757 = r20748 + r20756;
        float r20758 = acos(r20757);
        float r20759 = R;
        float r20760 = r20758 * r20759;
        return r20760;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r20761 = phi1;
        double r20762 = sin(r20761);
        double r20763 = phi2;
        double r20764 = sin(r20763);
        double r20765 = r20762 * r20764;
        double r20766 = cos(r20761);
        double r20767 = cos(r20763);
        double r20768 = r20766 * r20767;
        double r20769 = lambda1;
        double r20770 = lambda2;
        double r20771 = r20769 - r20770;
        double r20772 = cos(r20771);
        double r20773 = r20768 * r20772;
        double r20774 = r20765 + r20773;
        double r20775 = acos(r20774);
        double r20776 = R;
        double r20777 = r20775 * r20776;
        return r20777;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r20778 = phi1;
        float r20779 = sin(r20778);
        float r20780 = phi2;
        float r20781 = sin(r20780);
        float r20782 = r20779 * r20781;
        float r20783 = cos(r20778);
        float r20784 = cos(r20780);
        float r20785 = r20783 * r20784;
        float r20786 = lambda1;
        float r20787 = cos(r20786);
        float r20788 = lambda2;
        float r20789 = cos(r20788);
        float r20790 = r20787 * r20789;
        float r20791 = r20785 * r20790;
        float r20792 = sin(r20786);
        float r20793 = cbrt(r20792);
        float r20794 = r20793 * r20793;
        float r20795 = sin(r20788);
        float r20796 = r20793 * r20795;
        float r20797 = r20794 * r20796;
        float r20798 = r20785 * r20797;
        float r20799 = r20791 + r20798;
        float r20800 = r20782 + r20799;
        float r20801 = acos(r20800);
        float r20802 = R;
        float r20803 = r20801 * r20802;
        return r20803;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r20804 = phi1;
        double r20805 = sin(r20804);
        double r20806 = phi2;
        double r20807 = sin(r20806);
        double r20808 = r20805 * r20807;
        double r20809 = cos(r20804);
        double r20810 = cos(r20806);
        double r20811 = r20809 * r20810;
        double r20812 = lambda1;
        double r20813 = cos(r20812);
        double r20814 = lambda2;
        double r20815 = cos(r20814);
        double r20816 = r20813 * r20815;
        double r20817 = r20811 * r20816;
        double r20818 = sin(r20812);
        double r20819 = cbrt(r20818);
        double r20820 = r20819 * r20819;
        double r20821 = sin(r20814);
        double r20822 = r20819 * r20821;
        double r20823 = r20820 * r20822;
        double r20824 = r20811 * r20823;
        double r20825 = r20817 + r20824;
        double r20826 = r20808 + r20825;
        double r20827 = acos(r20826);
        double r20828 = R;
        double r20829 = r20827 * r20828;
        return r20829;
}

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 r20830, r20831, r20832, r20833, r20834, r20835, r20836, r20837, r20838, r20839, r20840, r20841, r20842, r20843, r20844, r20845, r20846;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2192);
        mpfr_init(r20830);
        mpfr_init(r20831);
        mpfr_init(r20832);
        mpfr_init(r20833);
        mpfr_init(r20834);
        mpfr_init(r20835);
        mpfr_init(r20836);
        mpfr_init(r20837);
        mpfr_init(r20838);
        mpfr_init(r20839);
        mpfr_init(r20840);
        mpfr_init(r20841);
        mpfr_init(r20842);
        mpfr_init(r20843);
        mpfr_init(r20844);
        mpfr_init(r20845);
        mpfr_init(r20846);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r20830, phi1, MPFR_RNDN);
        mpfr_sin(r20831, r20830, MPFR_RNDN);
        mpfr_set_d(r20832, phi2, MPFR_RNDN);
        mpfr_sin(r20833, r20832, MPFR_RNDN);
        mpfr_mul(r20834, r20831, r20833, MPFR_RNDN);
        mpfr_cos(r20835, r20830, MPFR_RNDN);
        mpfr_cos(r20836, r20832, MPFR_RNDN);
        mpfr_mul(r20837, r20835, r20836, MPFR_RNDN);
        mpfr_set_d(r20838, lambda1, MPFR_RNDN);
        mpfr_set_d(r20839, lambda2, MPFR_RNDN);
        mpfr_sub(r20840, r20838, r20839, MPFR_RNDN);
        mpfr_cos(r20841, r20840, MPFR_RNDN);
        mpfr_mul(r20842, r20837, r20841, MPFR_RNDN);
        mpfr_add(r20843, r20834, r20842, MPFR_RNDN);
        mpfr_acos(r20844, r20843, MPFR_RNDN);
        mpfr_set_d(r20845, R, MPFR_RNDN);
        mpfr_mul(r20846, r20844, r20845, MPFR_RNDN);
        return mpfr_get_d(r20846, MPFR_RNDN);
}

static mpfr_t r20847, r20848, r20849, r20850, r20851, r20852, r20853, r20854, r20855, r20856, r20857, r20858, r20859, r20860, r20861, r20862, r20863, r20864, r20865, r20866, r20867, r20868, r20869, r20870, r20871, r20872;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2192);
        mpfr_init(r20847);
        mpfr_init(r20848);
        mpfr_init(r20849);
        mpfr_init(r20850);
        mpfr_init(r20851);
        mpfr_init(r20852);
        mpfr_init(r20853);
        mpfr_init(r20854);
        mpfr_init(r20855);
        mpfr_init(r20856);
        mpfr_init(r20857);
        mpfr_init(r20858);
        mpfr_init(r20859);
        mpfr_init(r20860);
        mpfr_init(r20861);
        mpfr_init(r20862);
        mpfr_init(r20863);
        mpfr_init(r20864);
        mpfr_init(r20865);
        mpfr_init(r20866);
        mpfr_init(r20867);
        mpfr_init(r20868);
        mpfr_init(r20869);
        mpfr_init(r20870);
        mpfr_init(r20871);
        mpfr_init(r20872);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r20847, phi1, MPFR_RNDN);
        mpfr_sin(r20848, r20847, MPFR_RNDN);
        mpfr_set_d(r20849, phi2, MPFR_RNDN);
        mpfr_sin(r20850, r20849, MPFR_RNDN);
        mpfr_mul(r20851, r20848, r20850, MPFR_RNDN);
        mpfr_cos(r20852, r20847, MPFR_RNDN);
        mpfr_cos(r20853, r20849, MPFR_RNDN);
        mpfr_mul(r20854, r20852, r20853, MPFR_RNDN);
        mpfr_set_d(r20855, lambda1, MPFR_RNDN);
        mpfr_cos(r20856, r20855, MPFR_RNDN);
        mpfr_set_d(r20857, lambda2, MPFR_RNDN);
        mpfr_cos(r20858, r20857, MPFR_RNDN);
        mpfr_mul(r20859, r20856, r20858, MPFR_RNDN);
        mpfr_mul(r20860, r20854, r20859, MPFR_RNDN);
        mpfr_sin(r20861, r20855, MPFR_RNDN);
        mpfr_cbrt(r20862, r20861, MPFR_RNDN);
        mpfr_mul(r20863, r20862, r20862, MPFR_RNDN);
        mpfr_sin(r20864, r20857, MPFR_RNDN);
        mpfr_mul(r20865, r20862, r20864, MPFR_RNDN);
        mpfr_mul(r20866, r20863, r20865, MPFR_RNDN);
        mpfr_mul(r20867, r20854, r20866, MPFR_RNDN);
        mpfr_add(r20868, r20860, r20867, MPFR_RNDN);
        mpfr_add(r20869, r20851, r20868, MPFR_RNDN);
        mpfr_acos(r20870, r20869, MPFR_RNDN);
        mpfr_set_d(r20871, R, MPFR_RNDN);
        mpfr_mul(r20872, r20870, r20871, MPFR_RNDN);
        return mpfr_get_d(r20872, MPFR_RNDN);
}

static mpfr_t r20873, r20874, r20875, r20876, r20877, r20878, r20879, r20880, r20881, r20882, r20883, r20884, r20885, r20886, r20887, r20888, r20889, r20890, r20891, r20892, r20893, r20894, r20895, r20896, r20897, r20898;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2192);
        mpfr_init(r20873);
        mpfr_init(r20874);
        mpfr_init(r20875);
        mpfr_init(r20876);
        mpfr_init(r20877);
        mpfr_init(r20878);
        mpfr_init(r20879);
        mpfr_init(r20880);
        mpfr_init(r20881);
        mpfr_init(r20882);
        mpfr_init(r20883);
        mpfr_init(r20884);
        mpfr_init(r20885);
        mpfr_init(r20886);
        mpfr_init(r20887);
        mpfr_init(r20888);
        mpfr_init(r20889);
        mpfr_init(r20890);
        mpfr_init(r20891);
        mpfr_init(r20892);
        mpfr_init(r20893);
        mpfr_init(r20894);
        mpfr_init(r20895);
        mpfr_init(r20896);
        mpfr_init(r20897);
        mpfr_init(r20898);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r20873, phi1, MPFR_RNDN);
        mpfr_sin(r20874, r20873, MPFR_RNDN);
        mpfr_set_d(r20875, phi2, MPFR_RNDN);
        mpfr_sin(r20876, r20875, MPFR_RNDN);
        mpfr_mul(r20877, r20874, r20876, MPFR_RNDN);
        mpfr_cos(r20878, r20873, MPFR_RNDN);
        mpfr_cos(r20879, r20875, MPFR_RNDN);
        mpfr_mul(r20880, r20878, r20879, MPFR_RNDN);
        mpfr_set_d(r20881, lambda1, MPFR_RNDN);
        mpfr_cos(r20882, r20881, MPFR_RNDN);
        mpfr_set_d(r20883, lambda2, MPFR_RNDN);
        mpfr_cos(r20884, r20883, MPFR_RNDN);
        mpfr_mul(r20885, r20882, r20884, MPFR_RNDN);
        mpfr_mul(r20886, r20880, r20885, MPFR_RNDN);
        mpfr_sin(r20887, r20881, MPFR_RNDN);
        mpfr_cbrt(r20888, r20887, MPFR_RNDN);
        mpfr_mul(r20889, r20888, r20888, MPFR_RNDN);
        mpfr_sin(r20890, r20883, MPFR_RNDN);
        mpfr_mul(r20891, r20888, r20890, MPFR_RNDN);
        mpfr_mul(r20892, r20889, r20891, MPFR_RNDN);
        mpfr_mul(r20893, r20880, r20892, MPFR_RNDN);
        mpfr_add(r20894, r20886, r20893, MPFR_RNDN);
        mpfr_add(r20895, r20877, r20894, MPFR_RNDN);
        mpfr_acos(r20896, r20895, MPFR_RNDN);
        mpfr_set_d(r20897, R, MPFR_RNDN);
        mpfr_mul(r20898, r20896, r20897, MPFR_RNDN);
        return mpfr_get_d(r20898, MPFR_RNDN);
}