#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 r20685 = phi1;
        float r20686 = sin(r20685);
        float r20687 = phi2;
        float r20688 = sin(r20687);
        float r20689 = r20686 * r20688;
        float r20690 = cos(r20685);
        float r20691 = cos(r20687);
        float r20692 = r20690 * r20691;
        float r20693 = lambda1;
        float r20694 = lambda2;
        float r20695 = r20693 - r20694;
        float r20696 = cos(r20695);
        float r20697 = r20692 * r20696;
        float r20698 = r20689 + r20697;
        float r20699 = acos(r20698);
        float r20700 = R;
        float r20701 = r20699 * r20700;
        return r20701;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r20702 = phi1;
        double r20703 = sin(r20702);
        double r20704 = phi2;
        double r20705 = sin(r20704);
        double r20706 = r20703 * r20705;
        double r20707 = cos(r20702);
        double r20708 = cos(r20704);
        double r20709 = r20707 * r20708;
        double r20710 = lambda1;
        double r20711 = lambda2;
        double r20712 = r20710 - r20711;
        double r20713 = cos(r20712);
        double r20714 = r20709 * r20713;
        double r20715 = r20706 + r20714;
        double r20716 = acos(r20715);
        double r20717 = R;
        double r20718 = r20716 * r20717;
        return r20718;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r20719 = phi1;
        float r20720 = sin(r20719);
        float r20721 = phi2;
        float r20722 = sin(r20721);
        float r20723 = r20720 * r20722;
        float r20724 = lambda1;
        float r20725 = cos(r20724);
        float r20726 = cos(r20721);
        float r20727 = cos(r20719);
        float r20728 = lambda2;
        float r20729 = cos(r20728);
        float r20730 = r20727 * r20729;
        float r20731 = r20726 * r20730;
        float r20732 = r20725 * r20731;
        float r20733 = r20723 + r20732;
        float r20734 = -r20728;
        float r20735 = sin(r20734);
        float r20736 = sin(r20724);
        float r20737 = r20735 * r20736;
        float r20738 = r20727 * r20737;
        float r20739 = r20726 * r20738;
        float r20740 = r20733 - r20739;
        float r20741 = acos(r20740);
        float r20742 = R;
        float r20743 = r20741 * r20742;
        return r20743;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r20744 = phi1;
        double r20745 = sin(r20744);
        double r20746 = phi2;
        double r20747 = sin(r20746);
        double r20748 = r20745 * r20747;
        double r20749 = lambda1;
        double r20750 = cos(r20749);
        double r20751 = cos(r20746);
        double r20752 = cos(r20744);
        double r20753 = lambda2;
        double r20754 = cos(r20753);
        double r20755 = r20752 * r20754;
        double r20756 = r20751 * r20755;
        double r20757 = r20750 * r20756;
        double r20758 = r20748 + r20757;
        double r20759 = -r20753;
        double r20760 = sin(r20759);
        double r20761 = sin(r20749);
        double r20762 = r20760 * r20761;
        double r20763 = r20752 * r20762;
        double r20764 = r20751 * r20763;
        double r20765 = r20758 - r20764;
        double r20766 = acos(r20765);
        double r20767 = R;
        double r20768 = r20766 * r20767;
        return r20768;
}

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 r20769, r20770, r20771, r20772, r20773, r20774, r20775, r20776, r20777, r20778, r20779, r20780, r20781, r20782, r20783, r20784, r20785;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1936);
        mpfr_init(r20769);
        mpfr_init(r20770);
        mpfr_init(r20771);
        mpfr_init(r20772);
        mpfr_init(r20773);
        mpfr_init(r20774);
        mpfr_init(r20775);
        mpfr_init(r20776);
        mpfr_init(r20777);
        mpfr_init(r20778);
        mpfr_init(r20779);
        mpfr_init(r20780);
        mpfr_init(r20781);
        mpfr_init(r20782);
        mpfr_init(r20783);
        mpfr_init(r20784);
        mpfr_init(r20785);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r20769, phi1, MPFR_RNDN);
        mpfr_sin(r20770, r20769, MPFR_RNDN);
        mpfr_set_d(r20771, phi2, MPFR_RNDN);
        mpfr_sin(r20772, r20771, MPFR_RNDN);
        mpfr_mul(r20773, r20770, r20772, MPFR_RNDN);
        mpfr_cos(r20774, r20769, MPFR_RNDN);
        mpfr_cos(r20775, r20771, MPFR_RNDN);
        mpfr_mul(r20776, r20774, r20775, MPFR_RNDN);
        mpfr_set_d(r20777, lambda1, MPFR_RNDN);
        mpfr_set_d(r20778, lambda2, MPFR_RNDN);
        mpfr_sub(r20779, r20777, r20778, MPFR_RNDN);
        mpfr_cos(r20780, r20779, MPFR_RNDN);
        mpfr_mul(r20781, r20776, r20780, MPFR_RNDN);
        mpfr_add(r20782, r20773, r20781, MPFR_RNDN);
        mpfr_acos(r20783, r20782, MPFR_RNDN);
        mpfr_set_d(r20784, R, MPFR_RNDN);
        mpfr_mul(r20785, r20783, r20784, MPFR_RNDN);
        return mpfr_get_d(r20785, MPFR_RNDN);
}

static mpfr_t r20786, r20787, r20788, r20789, r20790, r20791, r20792, r20793, r20794, r20795, r20796, r20797, r20798, r20799, r20800, r20801, r20802, r20803, r20804, r20805, r20806, r20807, r20808, r20809, r20810;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1936);
        mpfr_init(r20786);
        mpfr_init(r20787);
        mpfr_init(r20788);
        mpfr_init(r20789);
        mpfr_init(r20790);
        mpfr_init(r20791);
        mpfr_init(r20792);
        mpfr_init(r20793);
        mpfr_init(r20794);
        mpfr_init(r20795);
        mpfr_init(r20796);
        mpfr_init(r20797);
        mpfr_init(r20798);
        mpfr_init(r20799);
        mpfr_init(r20800);
        mpfr_init(r20801);
        mpfr_init(r20802);
        mpfr_init(r20803);
        mpfr_init(r20804);
        mpfr_init(r20805);
        mpfr_init(r20806);
        mpfr_init(r20807);
        mpfr_init(r20808);
        mpfr_init(r20809);
        mpfr_init(r20810);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r20786, phi1, MPFR_RNDN);
        mpfr_sin(r20787, r20786, MPFR_RNDN);
        mpfr_set_d(r20788, phi2, MPFR_RNDN);
        mpfr_sin(r20789, r20788, MPFR_RNDN);
        mpfr_mul(r20790, r20787, r20789, MPFR_RNDN);
        mpfr_set_d(r20791, lambda1, MPFR_RNDN);
        mpfr_cos(r20792, r20791, MPFR_RNDN);
        mpfr_cos(r20793, r20788, MPFR_RNDN);
        mpfr_cos(r20794, r20786, MPFR_RNDN);
        mpfr_set_d(r20795, lambda2, MPFR_RNDN);
        mpfr_cos(r20796, r20795, MPFR_RNDN);
        mpfr_mul(r20797, r20794, r20796, MPFR_RNDN);
        mpfr_mul(r20798, r20793, r20797, MPFR_RNDN);
        mpfr_mul(r20799, r20792, r20798, MPFR_RNDN);
        mpfr_add(r20800, r20790, r20799, MPFR_RNDN);
        mpfr_neg(r20801, r20795, MPFR_RNDN);
        mpfr_sin(r20802, r20801, MPFR_RNDN);
        mpfr_sin(r20803, r20791, MPFR_RNDN);
        mpfr_mul(r20804, r20802, r20803, MPFR_RNDN);
        mpfr_mul(r20805, r20794, r20804, MPFR_RNDN);
        mpfr_mul(r20806, r20793, r20805, MPFR_RNDN);
        mpfr_sub(r20807, r20800, r20806, MPFR_RNDN);
        mpfr_acos(r20808, r20807, MPFR_RNDN);
        mpfr_set_d(r20809, R, MPFR_RNDN);
        mpfr_mul(r20810, r20808, r20809, MPFR_RNDN);
        return mpfr_get_d(r20810, MPFR_RNDN);
}

static mpfr_t r20811, r20812, r20813, r20814, r20815, r20816, r20817, r20818, r20819, r20820, r20821, r20822, r20823, r20824, r20825, r20826, r20827, r20828, r20829, r20830, r20831, r20832, r20833, r20834, r20835;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1936);
        mpfr_init(r20811);
        mpfr_init(r20812);
        mpfr_init(r20813);
        mpfr_init(r20814);
        mpfr_init(r20815);
        mpfr_init(r20816);
        mpfr_init(r20817);
        mpfr_init(r20818);
        mpfr_init(r20819);
        mpfr_init(r20820);
        mpfr_init(r20821);
        mpfr_init(r20822);
        mpfr_init(r20823);
        mpfr_init(r20824);
        mpfr_init(r20825);
        mpfr_init(r20826);
        mpfr_init(r20827);
        mpfr_init(r20828);
        mpfr_init(r20829);
        mpfr_init(r20830);
        mpfr_init(r20831);
        mpfr_init(r20832);
        mpfr_init(r20833);
        mpfr_init(r20834);
        mpfr_init(r20835);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r20811, phi1, MPFR_RNDN);
        mpfr_sin(r20812, r20811, MPFR_RNDN);
        mpfr_set_d(r20813, phi2, MPFR_RNDN);
        mpfr_sin(r20814, r20813, MPFR_RNDN);
        mpfr_mul(r20815, r20812, r20814, MPFR_RNDN);
        mpfr_set_d(r20816, lambda1, MPFR_RNDN);
        mpfr_cos(r20817, r20816, MPFR_RNDN);
        mpfr_cos(r20818, r20813, MPFR_RNDN);
        mpfr_cos(r20819, r20811, MPFR_RNDN);
        mpfr_set_d(r20820, lambda2, MPFR_RNDN);
        mpfr_cos(r20821, r20820, MPFR_RNDN);
        mpfr_mul(r20822, r20819, r20821, MPFR_RNDN);
        mpfr_mul(r20823, r20818, r20822, MPFR_RNDN);
        mpfr_mul(r20824, r20817, r20823, MPFR_RNDN);
        mpfr_add(r20825, r20815, r20824, MPFR_RNDN);
        mpfr_neg(r20826, r20820, MPFR_RNDN);
        mpfr_sin(r20827, r20826, MPFR_RNDN);
        mpfr_sin(r20828, r20816, MPFR_RNDN);
        mpfr_mul(r20829, r20827, r20828, MPFR_RNDN);
        mpfr_mul(r20830, r20819, r20829, MPFR_RNDN);
        mpfr_mul(r20831, r20818, r20830, MPFR_RNDN);
        mpfr_sub(r20832, r20825, r20831, MPFR_RNDN);
        mpfr_acos(r20833, r20832, MPFR_RNDN);
        mpfr_set_d(r20834, R, MPFR_RNDN);
        mpfr_mul(r20835, r20833, r20834, MPFR_RNDN);
        return mpfr_get_d(r20835, MPFR_RNDN);
}