#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 r20675 = phi1;
        float r20676 = sin(r20675);
        float r20677 = phi2;
        float r20678 = sin(r20677);
        float r20679 = r20676 * r20678;
        float r20680 = cos(r20675);
        float r20681 = cos(r20677);
        float r20682 = r20680 * r20681;
        float r20683 = lambda1;
        float r20684 = lambda2;
        float r20685 = r20683 - r20684;
        float r20686 = cos(r20685);
        float r20687 = r20682 * r20686;
        float r20688 = r20679 + r20687;
        float r20689 = acos(r20688);
        float r20690 = R;
        float r20691 = r20689 * r20690;
        return r20691;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r20692 = phi1;
        double r20693 = sin(r20692);
        double r20694 = phi2;
        double r20695 = sin(r20694);
        double r20696 = r20693 * r20695;
        double r20697 = cos(r20692);
        double r20698 = cos(r20694);
        double r20699 = r20697 * r20698;
        double r20700 = lambda1;
        double r20701 = lambda2;
        double r20702 = r20700 - r20701;
        double r20703 = cos(r20702);
        double r20704 = r20699 * r20703;
        double r20705 = r20696 + r20704;
        double r20706 = acos(r20705);
        double r20707 = R;
        double r20708 = r20706 * r20707;
        return r20708;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r20709 = phi2;
        float r20710 = cos(r20709);
        float r20711 = phi1;
        float r20712 = cos(r20711);
        float r20713 = r20710 * r20712;
        float r20714 = lambda1;
        float r20715 = cos(r20714);
        float r20716 = lambda2;
        float r20717 = cos(r20716);
        float r20718 = r20715 * r20717;
        float r20719 = sin(r20714);
        float r20720 = cbrt(r20719);
        float r20721 = r20720 * r20720;
        float r20722 = -r20716;
        float r20723 = sin(r20722);
        float r20724 = r20720 * r20723;
        float r20725 = r20721 * r20724;
        float r20726 = r20718 - r20725;
        float r20727 = sin(r20709);
        float r20728 = sin(r20711);
        float r20729 = r20727 * r20728;
        float r20730 = fma(r20713, r20726, r20729);
        float r20731 = acos(r20730);
        float r20732 = R;
        float r20733 = r20731 * r20732;
        return r20733;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r20734 = phi2;
        double r20735 = cos(r20734);
        double r20736 = phi1;
        double r20737 = cos(r20736);
        double r20738 = r20735 * r20737;
        double r20739 = lambda1;
        double r20740 = cos(r20739);
        double r20741 = lambda2;
        double r20742 = cos(r20741);
        double r20743 = r20740 * r20742;
        double r20744 = sin(r20739);
        double r20745 = cbrt(r20744);
        double r20746 = r20745 * r20745;
        double r20747 = -r20741;
        double r20748 = sin(r20747);
        double r20749 = r20745 * r20748;
        double r20750 = r20746 * r20749;
        double r20751 = r20743 - r20750;
        double r20752 = sin(r20734);
        double r20753 = sin(r20736);
        double r20754 = r20752 * r20753;
        double r20755 = fma(r20738, r20751, r20754);
        double r20756 = acos(r20755);
        double r20757 = R;
        double r20758 = r20756 * r20757;
        return r20758;
}

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 r20759, r20760, r20761, r20762, r20763, r20764, r20765, r20766, r20767, r20768, r20769, r20770, r20771, r20772, r20773, r20774, r20775;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2192);
        mpfr_init(r20759);
        mpfr_init(r20760);
        mpfr_init(r20761);
        mpfr_init(r20762);
        mpfr_init(r20763);
        mpfr_init(r20764);
        mpfr_init(r20765);
        mpfr_init(r20766);
        mpfr_init(r20767);
        mpfr_init(r20768);
        mpfr_init(r20769);
        mpfr_init(r20770);
        mpfr_init(r20771);
        mpfr_init(r20772);
        mpfr_init(r20773);
        mpfr_init(r20774);
        mpfr_init(r20775);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r20759, phi1, MPFR_RNDN);
        mpfr_sin(r20760, r20759, MPFR_RNDN);
        mpfr_set_d(r20761, phi2, MPFR_RNDN);
        mpfr_sin(r20762, r20761, MPFR_RNDN);
        mpfr_mul(r20763, r20760, r20762, MPFR_RNDN);
        mpfr_cos(r20764, r20759, MPFR_RNDN);
        mpfr_cos(r20765, r20761, MPFR_RNDN);
        mpfr_mul(r20766, r20764, r20765, MPFR_RNDN);
        mpfr_set_d(r20767, lambda1, MPFR_RNDN);
        mpfr_set_d(r20768, lambda2, MPFR_RNDN);
        mpfr_sub(r20769, r20767, r20768, MPFR_RNDN);
        mpfr_cos(r20770, r20769, MPFR_RNDN);
        mpfr_mul(r20771, r20766, r20770, MPFR_RNDN);
        mpfr_add(r20772, r20763, r20771, MPFR_RNDN);
        mpfr_acos(r20773, r20772, MPFR_RNDN);
        mpfr_set_d(r20774, R, MPFR_RNDN);
        mpfr_mul(r20775, r20773, r20774, MPFR_RNDN);
        return mpfr_get_d(r20775, MPFR_RNDN);
}

static mpfr_t r20776, r20777, r20778, r20779, r20780, r20781, r20782, r20783, r20784, r20785, r20786, r20787, r20788, r20789, r20790, r20791, r20792, r20793, r20794, r20795, r20796, r20797, r20798, r20799, r20800;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2192);
        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);
        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);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r20776, phi2, MPFR_RNDN);
        mpfr_cos(r20777, r20776, MPFR_RNDN);
        mpfr_set_d(r20778, phi1, MPFR_RNDN);
        mpfr_cos(r20779, r20778, MPFR_RNDN);
        mpfr_mul(r20780, r20777, r20779, MPFR_RNDN);
        mpfr_set_d(r20781, lambda1, MPFR_RNDN);
        mpfr_cos(r20782, r20781, MPFR_RNDN);
        mpfr_set_d(r20783, lambda2, MPFR_RNDN);
        mpfr_cos(r20784, r20783, MPFR_RNDN);
        mpfr_mul(r20785, r20782, r20784, MPFR_RNDN);
        mpfr_sin(r20786, r20781, MPFR_RNDN);
        mpfr_cbrt(r20787, r20786, MPFR_RNDN);
        mpfr_mul(r20788, r20787, r20787, MPFR_RNDN);
        mpfr_neg(r20789, r20783, MPFR_RNDN);
        mpfr_sin(r20790, r20789, MPFR_RNDN);
        mpfr_mul(r20791, r20787, r20790, MPFR_RNDN);
        mpfr_mul(r20792, r20788, r20791, MPFR_RNDN);
        mpfr_sub(r20793, r20785, r20792, MPFR_RNDN);
        mpfr_sin(r20794, r20776, MPFR_RNDN);
        mpfr_sin(r20795, r20778, MPFR_RNDN);
        mpfr_mul(r20796, r20794, r20795, MPFR_RNDN);
        mpfr_fma(r20797, r20780, r20793, r20796, MPFR_RNDN);
        mpfr_acos(r20798, r20797, MPFR_RNDN);
        mpfr_set_d(r20799, R, MPFR_RNDN);
        mpfr_mul(r20800, r20798, r20799, MPFR_RNDN);
        return mpfr_get_d(r20800, MPFR_RNDN);
}

static mpfr_t r20801, r20802, r20803, r20804, r20805, r20806, r20807, r20808, r20809, r20810, r20811, r20812, r20813, r20814, r20815, r20816, r20817, r20818, r20819, r20820, r20821, r20822, r20823, r20824, r20825;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2192);
        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);
        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);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r20801, phi2, MPFR_RNDN);
        mpfr_cos(r20802, r20801, MPFR_RNDN);
        mpfr_set_d(r20803, phi1, MPFR_RNDN);
        mpfr_cos(r20804, r20803, MPFR_RNDN);
        mpfr_mul(r20805, r20802, r20804, MPFR_RNDN);
        mpfr_set_d(r20806, lambda1, MPFR_RNDN);
        mpfr_cos(r20807, r20806, MPFR_RNDN);
        mpfr_set_d(r20808, lambda2, MPFR_RNDN);
        mpfr_cos(r20809, r20808, MPFR_RNDN);
        mpfr_mul(r20810, r20807, r20809, MPFR_RNDN);
        mpfr_sin(r20811, r20806, MPFR_RNDN);
        mpfr_cbrt(r20812, r20811, MPFR_RNDN);
        mpfr_mul(r20813, r20812, r20812, MPFR_RNDN);
        mpfr_neg(r20814, r20808, MPFR_RNDN);
        mpfr_sin(r20815, r20814, MPFR_RNDN);
        mpfr_mul(r20816, r20812, r20815, MPFR_RNDN);
        mpfr_mul(r20817, r20813, r20816, MPFR_RNDN);
        mpfr_sub(r20818, r20810, r20817, MPFR_RNDN);
        mpfr_sin(r20819, r20801, MPFR_RNDN);
        mpfr_sin(r20820, r20803, MPFR_RNDN);
        mpfr_mul(r20821, r20819, r20820, MPFR_RNDN);
        mpfr_fma(r20822, r20805, r20818, r20821, MPFR_RNDN);
        mpfr_acos(r20823, r20822, MPFR_RNDN);
        mpfr_set_d(r20824, R, MPFR_RNDN);
        mpfr_mul(r20825, r20823, r20824, MPFR_RNDN);
        return mpfr_get_d(r20825, MPFR_RNDN);
}