#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 r21695 = phi1;
        float r21696 = sin(r21695);
        float r21697 = phi2;
        float r21698 = sin(r21697);
        float r21699 = r21696 * r21698;
        float r21700 = cos(r21695);
        float r21701 = cos(r21697);
        float r21702 = r21700 * r21701;
        float r21703 = lambda1;
        float r21704 = lambda2;
        float r21705 = r21703 - r21704;
        float r21706 = cos(r21705);
        float r21707 = r21702 * r21706;
        float r21708 = r21699 + r21707;
        float r21709 = acos(r21708);
        float r21710 = R;
        float r21711 = r21709 * r21710;
        return r21711;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r21712 = phi1;
        double r21713 = sin(r21712);
        double r21714 = phi2;
        double r21715 = sin(r21714);
        double r21716 = r21713 * r21715;
        double r21717 = cos(r21712);
        double r21718 = cos(r21714);
        double r21719 = r21717 * r21718;
        double r21720 = lambda1;
        double r21721 = lambda2;
        double r21722 = r21720 - r21721;
        double r21723 = cos(r21722);
        double r21724 = r21719 * r21723;
        double r21725 = r21716 + r21724;
        double r21726 = acos(r21725);
        double r21727 = R;
        double r21728 = r21726 * r21727;
        return r21728;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r21729 = phi1;
        float r21730 = sin(r21729);
        float r21731 = phi2;
        float r21732 = sin(r21731);
        float r21733 = r21730 * r21732;
        float r21734 = exp(r21733);
        float r21735 = log(r21734);
        float r21736 = cos(r21729);
        float r21737 = cos(r21731);
        float r21738 = r21736 * r21737;
        float r21739 = lambda1;
        float r21740 = cos(r21739);
        float r21741 = lambda2;
        float r21742 = cos(r21741);
        float r21743 = r21740 * r21742;
        float r21744 = sin(r21739);
        float r21745 = -r21741;
        float r21746 = sin(r21745);
        float r21747 = r21744 * r21746;
        float r21748 = r21743 - r21747;
        float r21749 = r21738 * r21748;
        float r21750 = r21735 + r21749;
        float r21751 = acos(r21750);
        float r21752 = R;
        float r21753 = r21751 * r21752;
        return r21753;
}

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

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 r21779, r21780, r21781, r21782, r21783, r21784, r21785, r21786, r21787, r21788, r21789, r21790, r21791, r21792, r21793, r21794, r21795;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2128);
        mpfr_init(r21779);
        mpfr_init(r21780);
        mpfr_init(r21781);
        mpfr_init(r21782);
        mpfr_init(r21783);
        mpfr_init(r21784);
        mpfr_init(r21785);
        mpfr_init(r21786);
        mpfr_init(r21787);
        mpfr_init(r21788);
        mpfr_init(r21789);
        mpfr_init(r21790);
        mpfr_init(r21791);
        mpfr_init(r21792);
        mpfr_init(r21793);
        mpfr_init(r21794);
        mpfr_init(r21795);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21779, phi1, MPFR_RNDN);
        mpfr_sin(r21780, r21779, MPFR_RNDN);
        mpfr_set_d(r21781, phi2, MPFR_RNDN);
        mpfr_sin(r21782, r21781, MPFR_RNDN);
        mpfr_mul(r21783, r21780, r21782, MPFR_RNDN);
        mpfr_cos(r21784, r21779, MPFR_RNDN);
        mpfr_cos(r21785, r21781, MPFR_RNDN);
        mpfr_mul(r21786, r21784, r21785, MPFR_RNDN);
        mpfr_set_d(r21787, lambda1, MPFR_RNDN);
        mpfr_set_d(r21788, lambda2, MPFR_RNDN);
        mpfr_sub(r21789, r21787, r21788, MPFR_RNDN);
        mpfr_cos(r21790, r21789, MPFR_RNDN);
        mpfr_mul(r21791, r21786, r21790, MPFR_RNDN);
        mpfr_add(r21792, r21783, r21791, MPFR_RNDN);
        mpfr_acos(r21793, r21792, MPFR_RNDN);
        mpfr_set_d(r21794, R, MPFR_RNDN);
        mpfr_mul(r21795, r21793, r21794, MPFR_RNDN);
        return mpfr_get_d(r21795, MPFR_RNDN);
}

static mpfr_t r21796, r21797, r21798, r21799, r21800, r21801, r21802, r21803, r21804, r21805, r21806, r21807, r21808, r21809, r21810, r21811, r21812, r21813, r21814, r21815, r21816, r21817, r21818, r21819, r21820;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2128);
        mpfr_init(r21796);
        mpfr_init(r21797);
        mpfr_init(r21798);
        mpfr_init(r21799);
        mpfr_init(r21800);
        mpfr_init(r21801);
        mpfr_init(r21802);
        mpfr_init(r21803);
        mpfr_init(r21804);
        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);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21796, phi1, MPFR_RNDN);
        mpfr_sin(r21797, r21796, MPFR_RNDN);
        mpfr_set_d(r21798, phi2, MPFR_RNDN);
        mpfr_sin(r21799, r21798, MPFR_RNDN);
        mpfr_mul(r21800, r21797, r21799, MPFR_RNDN);
        mpfr_exp(r21801, r21800, MPFR_RNDN);
        mpfr_log(r21802, r21801, MPFR_RNDN);
        mpfr_cos(r21803, r21796, MPFR_RNDN);
        mpfr_cos(r21804, r21798, MPFR_RNDN);
        mpfr_mul(r21805, r21803, r21804, MPFR_RNDN);
        mpfr_set_d(r21806, lambda1, MPFR_RNDN);
        mpfr_cos(r21807, r21806, MPFR_RNDN);
        mpfr_set_d(r21808, lambda2, MPFR_RNDN);
        mpfr_cos(r21809, r21808, MPFR_RNDN);
        mpfr_mul(r21810, r21807, r21809, MPFR_RNDN);
        mpfr_sin(r21811, r21806, MPFR_RNDN);
        mpfr_neg(r21812, r21808, MPFR_RNDN);
        mpfr_sin(r21813, r21812, MPFR_RNDN);
        mpfr_mul(r21814, r21811, r21813, MPFR_RNDN);
        mpfr_sub(r21815, r21810, r21814, MPFR_RNDN);
        mpfr_mul(r21816, r21805, r21815, MPFR_RNDN);
        mpfr_add(r21817, r21802, r21816, MPFR_RNDN);
        mpfr_acos(r21818, r21817, MPFR_RNDN);
        mpfr_set_d(r21819, R, MPFR_RNDN);
        mpfr_mul(r21820, r21818, r21819, MPFR_RNDN);
        return mpfr_get_d(r21820, MPFR_RNDN);
}

static mpfr_t r21821, r21822, r21823, r21824, r21825, r21826, r21827, r21828, r21829, r21830, r21831, r21832, r21833, r21834, r21835, r21836, r21837, r21838, r21839, r21840, r21841, r21842, r21843, r21844, r21845;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2128);
        mpfr_init(r21821);
        mpfr_init(r21822);
        mpfr_init(r21823);
        mpfr_init(r21824);
        mpfr_init(r21825);
        mpfr_init(r21826);
        mpfr_init(r21827);
        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);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21821, phi1, MPFR_RNDN);
        mpfr_sin(r21822, r21821, MPFR_RNDN);
        mpfr_set_d(r21823, phi2, MPFR_RNDN);
        mpfr_sin(r21824, r21823, MPFR_RNDN);
        mpfr_mul(r21825, r21822, r21824, MPFR_RNDN);
        mpfr_exp(r21826, r21825, MPFR_RNDN);
        mpfr_log(r21827, r21826, MPFR_RNDN);
        mpfr_cos(r21828, r21821, MPFR_RNDN);
        mpfr_cos(r21829, r21823, MPFR_RNDN);
        mpfr_mul(r21830, r21828, r21829, MPFR_RNDN);
        mpfr_set_d(r21831, lambda1, MPFR_RNDN);
        mpfr_cos(r21832, r21831, MPFR_RNDN);
        mpfr_set_d(r21833, lambda2, MPFR_RNDN);
        mpfr_cos(r21834, r21833, MPFR_RNDN);
        mpfr_mul(r21835, r21832, r21834, MPFR_RNDN);
        mpfr_sin(r21836, r21831, MPFR_RNDN);
        mpfr_neg(r21837, r21833, MPFR_RNDN);
        mpfr_sin(r21838, r21837, MPFR_RNDN);
        mpfr_mul(r21839, r21836, r21838, MPFR_RNDN);
        mpfr_sub(r21840, r21835, r21839, MPFR_RNDN);
        mpfr_mul(r21841, r21830, r21840, MPFR_RNDN);
        mpfr_add(r21842, r21827, 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);
}