#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 r20748 = phi1;
        float r20749 = sin(r20748);
        float r20750 = phi2;
        float r20751 = sin(r20750);
        float r20752 = r20749 * r20751;
        float r20753 = cos(r20748);
        float r20754 = cos(r20750);
        float r20755 = r20753 * r20754;
        float r20756 = lambda1;
        float r20757 = lambda2;
        float r20758 = r20756 - r20757;
        float r20759 = cos(r20758);
        float r20760 = r20755 * r20759;
        float r20761 = r20752 + r20760;
        float r20762 = acos(r20761);
        float r20763 = R;
        float r20764 = r20762 * r20763;
        return r20764;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r20765 = phi1;
        double r20766 = sin(r20765);
        double r20767 = phi2;
        double r20768 = sin(r20767);
        double r20769 = r20766 * r20768;
        double r20770 = cos(r20765);
        double r20771 = cos(r20767);
        double r20772 = r20770 * r20771;
        double r20773 = lambda1;
        double r20774 = lambda2;
        double r20775 = r20773 - r20774;
        double r20776 = cos(r20775);
        double r20777 = r20772 * r20776;
        double r20778 = r20769 + r20777;
        double r20779 = acos(r20778);
        double r20780 = R;
        double r20781 = r20779 * r20780;
        return r20781;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r20782 = phi1;
        float r20783 = sin(r20782);
        float r20784 = phi2;
        float r20785 = sin(r20784);
        float r20786 = r20783 * r20785;
        float r20787 = cos(r20782);
        float r20788 = cos(r20784);
        float r20789 = r20787 * r20788;
        float r20790 = lambda1;
        float r20791 = cos(r20790);
        float r20792 = lambda2;
        float r20793 = cos(r20792);
        float r20794 = r20791 * r20793;
        float r20795 = r20789 * r20794;
        float r20796 = sin(r20790);
        float r20797 = sin(r20792);
        float r20798 = r20796 * r20797;
        float r20799 = r20789 * r20798;
        float r20800 = r20795 + r20799;
        float r20801 = r20786 + r20800;
        float r20802 = acos(r20801);
        float r20803 = R;
        float r20804 = r20802 * r20803;
        return r20804;
}

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

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 r20828, r20829, r20830, r20831, r20832, r20833, r20834, r20835, r20836, r20837, r20838, r20839, r20840, r20841, r20842, r20843, r20844;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1936);
        mpfr_init(r20828);
        mpfr_init(r20829);
        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);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r20828, phi1, MPFR_RNDN);
        mpfr_sin(r20829, r20828, MPFR_RNDN);
        mpfr_set_d(r20830, phi2, MPFR_RNDN);
        mpfr_sin(r20831, r20830, MPFR_RNDN);
        mpfr_mul(r20832, r20829, r20831, MPFR_RNDN);
        mpfr_cos(r20833, r20828, MPFR_RNDN);
        mpfr_cos(r20834, r20830, MPFR_RNDN);
        mpfr_mul(r20835, r20833, r20834, MPFR_RNDN);
        mpfr_set_d(r20836, lambda1, MPFR_RNDN);
        mpfr_set_d(r20837, lambda2, MPFR_RNDN);
        mpfr_sub(r20838, r20836, r20837, MPFR_RNDN);
        mpfr_cos(r20839, r20838, MPFR_RNDN);
        mpfr_mul(r20840, r20835, r20839, MPFR_RNDN);
        mpfr_add(r20841, r20832, r20840, MPFR_RNDN);
        mpfr_acos(r20842, r20841, MPFR_RNDN);
        mpfr_set_d(r20843, R, MPFR_RNDN);
        mpfr_mul(r20844, r20842, r20843, MPFR_RNDN);
        return mpfr_get_d(r20844, MPFR_RNDN);
}

static mpfr_t r20845, r20846, r20847, r20848, r20849, r20850, r20851, r20852, r20853, r20854, r20855, r20856, r20857, r20858, r20859, r20860, r20861, r20862, r20863, r20864, r20865, r20866, r20867;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1936);
        mpfr_init(r20845);
        mpfr_init(r20846);
        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);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r20845, phi1, MPFR_RNDN);
        mpfr_sin(r20846, r20845, MPFR_RNDN);
        mpfr_set_d(r20847, phi2, MPFR_RNDN);
        mpfr_sin(r20848, r20847, MPFR_RNDN);
        mpfr_mul(r20849, r20846, r20848, MPFR_RNDN);
        mpfr_cos(r20850, r20845, MPFR_RNDN);
        mpfr_cos(r20851, r20847, MPFR_RNDN);
        mpfr_mul(r20852, r20850, r20851, MPFR_RNDN);
        mpfr_set_d(r20853, lambda1, MPFR_RNDN);
        mpfr_cos(r20854, r20853, MPFR_RNDN);
        mpfr_set_d(r20855, lambda2, MPFR_RNDN);
        mpfr_cos(r20856, r20855, MPFR_RNDN);
        mpfr_mul(r20857, r20854, r20856, MPFR_RNDN);
        mpfr_mul(r20858, r20852, r20857, MPFR_RNDN);
        mpfr_sin(r20859, r20853, MPFR_RNDN);
        mpfr_sin(r20860, r20855, MPFR_RNDN);
        mpfr_mul(r20861, r20859, r20860, MPFR_RNDN);
        mpfr_mul(r20862, r20852, r20861, MPFR_RNDN);
        mpfr_add(r20863, r20858, r20862, MPFR_RNDN);
        mpfr_add(r20864, r20849, r20863, MPFR_RNDN);
        mpfr_acos(r20865, r20864, MPFR_RNDN);
        mpfr_set_d(r20866, R, MPFR_RNDN);
        mpfr_mul(r20867, r20865, r20866, MPFR_RNDN);
        return mpfr_get_d(r20867, MPFR_RNDN);
}

static mpfr_t r20868, r20869, r20870, r20871, r20872, r20873, r20874, r20875, r20876, r20877, r20878, r20879, r20880, r20881, r20882, r20883, r20884, r20885, r20886, r20887, r20888, r20889, r20890;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1936);
        mpfr_init(r20868);
        mpfr_init(r20869);
        mpfr_init(r20870);
        mpfr_init(r20871);
        mpfr_init(r20872);
        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);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r20868, phi1, MPFR_RNDN);
        mpfr_sin(r20869, r20868, MPFR_RNDN);
        mpfr_set_d(r20870, phi2, MPFR_RNDN);
        mpfr_sin(r20871, r20870, MPFR_RNDN);
        mpfr_mul(r20872, r20869, r20871, MPFR_RNDN);
        mpfr_cos(r20873, r20868, MPFR_RNDN);
        mpfr_cos(r20874, r20870, MPFR_RNDN);
        mpfr_mul(r20875, r20873, r20874, MPFR_RNDN);
        mpfr_set_d(r20876, lambda1, MPFR_RNDN);
        mpfr_cos(r20877, r20876, MPFR_RNDN);
        mpfr_set_d(r20878, lambda2, MPFR_RNDN);
        mpfr_cos(r20879, r20878, MPFR_RNDN);
        mpfr_mul(r20880, r20877, r20879, MPFR_RNDN);
        mpfr_mul(r20881, r20875, r20880, MPFR_RNDN);
        mpfr_sin(r20882, r20876, MPFR_RNDN);
        mpfr_sin(r20883, r20878, MPFR_RNDN);
        mpfr_mul(r20884, r20882, r20883, MPFR_RNDN);
        mpfr_mul(r20885, r20875, r20884, MPFR_RNDN);
        mpfr_add(r20886, r20881, r20885, MPFR_RNDN);
        mpfr_add(r20887, r20872, r20886, MPFR_RNDN);
        mpfr_acos(r20888, r20887, MPFR_RNDN);
        mpfr_set_d(r20889, R, MPFR_RNDN);
        mpfr_mul(r20890, r20888, r20889, MPFR_RNDN);
        return mpfr_get_d(r20890, MPFR_RNDN);
}