#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 r19674 = phi1;
        float r19675 = sin(r19674);
        float r19676 = phi2;
        float r19677 = sin(r19676);
        float r19678 = r19675 * r19677;
        float r19679 = cos(r19674);
        float r19680 = cos(r19676);
        float r19681 = r19679 * r19680;
        float r19682 = lambda1;
        float r19683 = lambda2;
        float r19684 = r19682 - r19683;
        float r19685 = cos(r19684);
        float r19686 = r19681 * r19685;
        float r19687 = r19678 + r19686;
        float r19688 = acos(r19687);
        float r19689 = R;
        float r19690 = r19688 * r19689;
        return r19690;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r19691 = phi1;
        double r19692 = sin(r19691);
        double r19693 = phi2;
        double r19694 = sin(r19693);
        double r19695 = r19692 * r19694;
        double r19696 = cos(r19691);
        double r19697 = cos(r19693);
        double r19698 = r19696 * r19697;
        double r19699 = lambda1;
        double r19700 = lambda2;
        double r19701 = r19699 - r19700;
        double r19702 = cos(r19701);
        double r19703 = r19698 * r19702;
        double r19704 = r19695 + r19703;
        double r19705 = acos(r19704);
        double r19706 = R;
        double r19707 = r19705 * r19706;
        return r19707;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r19708 = phi1;
        float r19709 = sin(r19708);
        float r19710 = phi2;
        float r19711 = sin(r19710);
        float r19712 = r19709 * r19711;
        float r19713 = cos(r19708);
        float r19714 = cos(r19710);
        float r19715 = r19713 * r19714;
        float r19716 = lambda1;
        float r19717 = cos(r19716);
        float r19718 = lambda2;
        float r19719 = cos(r19718);
        float r19720 = r19717 * r19719;
        float r19721 = sin(r19716);
        float r19722 = -r19718;
        float r19723 = sin(r19722);
        float r19724 = r19721 * r19723;
        float r19725 = cbrt(r19724);
        float r19726 = r19725 * r19725;
        float r19727 = r19726 * r19725;
        float r19728 = r19720 - r19727;
        float r19729 = r19715 * r19728;
        float r19730 = r19712 + r19729;
        float r19731 = acos(r19730);
        float r19732 = R;
        float r19733 = r19731 * r19732;
        return r19733;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r19734 = phi1;
        double r19735 = sin(r19734);
        double r19736 = phi2;
        double r19737 = sin(r19736);
        double r19738 = r19735 * r19737;
        double r19739 = cos(r19734);
        double r19740 = cos(r19736);
        double r19741 = r19739 * r19740;
        double r19742 = lambda1;
        double r19743 = cos(r19742);
        double r19744 = lambda2;
        double r19745 = cos(r19744);
        double r19746 = r19743 * r19745;
        double r19747 = sin(r19742);
        double r19748 = -r19744;
        double r19749 = sin(r19748);
        double r19750 = r19747 * r19749;
        double r19751 = cbrt(r19750);
        double r19752 = r19751 * r19751;
        double r19753 = r19752 * r19751;
        double r19754 = r19746 - r19753;
        double r19755 = r19741 * r19754;
        double r19756 = r19738 + r19755;
        double r19757 = acos(r19756);
        double r19758 = R;
        double r19759 = r19757 * r19758;
        return r19759;
}

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 r19760, r19761, r19762, r19763, r19764, r19765, r19766, r19767, r19768, r19769, r19770, r19771, r19772, r19773, r19774, r19775, r19776;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2192);
        mpfr_init(r19760);
        mpfr_init(r19761);
        mpfr_init(r19762);
        mpfr_init(r19763);
        mpfr_init(r19764);
        mpfr_init(r19765);
        mpfr_init(r19766);
        mpfr_init(r19767);
        mpfr_init(r19768);
        mpfr_init(r19769);
        mpfr_init(r19770);
        mpfr_init(r19771);
        mpfr_init(r19772);
        mpfr_init(r19773);
        mpfr_init(r19774);
        mpfr_init(r19775);
        mpfr_init(r19776);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r19760, phi1, MPFR_RNDN);
        mpfr_sin(r19761, r19760, MPFR_RNDN);
        mpfr_set_d(r19762, phi2, MPFR_RNDN);
        mpfr_sin(r19763, r19762, MPFR_RNDN);
        mpfr_mul(r19764, r19761, r19763, MPFR_RNDN);
        mpfr_cos(r19765, r19760, MPFR_RNDN);
        mpfr_cos(r19766, r19762, MPFR_RNDN);
        mpfr_mul(r19767, r19765, r19766, MPFR_RNDN);
        mpfr_set_d(r19768, lambda1, MPFR_RNDN);
        mpfr_set_d(r19769, lambda2, MPFR_RNDN);
        mpfr_sub(r19770, r19768, r19769, MPFR_RNDN);
        mpfr_cos(r19771, r19770, MPFR_RNDN);
        mpfr_mul(r19772, r19767, r19771, MPFR_RNDN);
        mpfr_add(r19773, r19764, r19772, MPFR_RNDN);
        mpfr_acos(r19774, r19773, MPFR_RNDN);
        mpfr_set_d(r19775, R, MPFR_RNDN);
        mpfr_mul(r19776, r19774, r19775, MPFR_RNDN);
        return mpfr_get_d(r19776, MPFR_RNDN);
}

static mpfr_t r19777, r19778, r19779, r19780, r19781, r19782, r19783, r19784, r19785, r19786, r19787, r19788, r19789, r19790, r19791, r19792, r19793, r19794, r19795, r19796, r19797, r19798, r19799, r19800, r19801, r19802;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2192);
        mpfr_init(r19777);
        mpfr_init(r19778);
        mpfr_init(r19779);
        mpfr_init(r19780);
        mpfr_init(r19781);
        mpfr_init(r19782);
        mpfr_init(r19783);
        mpfr_init(r19784);
        mpfr_init(r19785);
        mpfr_init(r19786);
        mpfr_init(r19787);
        mpfr_init(r19788);
        mpfr_init(r19789);
        mpfr_init(r19790);
        mpfr_init(r19791);
        mpfr_init(r19792);
        mpfr_init(r19793);
        mpfr_init(r19794);
        mpfr_init(r19795);
        mpfr_init(r19796);
        mpfr_init(r19797);
        mpfr_init(r19798);
        mpfr_init(r19799);
        mpfr_init(r19800);
        mpfr_init(r19801);
        mpfr_init(r19802);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r19777, phi1, MPFR_RNDN);
        mpfr_sin(r19778, r19777, MPFR_RNDN);
        mpfr_set_d(r19779, phi2, MPFR_RNDN);
        mpfr_sin(r19780, r19779, MPFR_RNDN);
        mpfr_mul(r19781, r19778, r19780, MPFR_RNDN);
        mpfr_cos(r19782, r19777, MPFR_RNDN);
        mpfr_cos(r19783, r19779, MPFR_RNDN);
        mpfr_mul(r19784, r19782, r19783, MPFR_RNDN);
        mpfr_set_d(r19785, lambda1, MPFR_RNDN);
        mpfr_cos(r19786, r19785, MPFR_RNDN);
        mpfr_set_d(r19787, lambda2, MPFR_RNDN);
        mpfr_cos(r19788, r19787, MPFR_RNDN);
        mpfr_mul(r19789, r19786, r19788, MPFR_RNDN);
        mpfr_sin(r19790, r19785, MPFR_RNDN);
        mpfr_neg(r19791, r19787, MPFR_RNDN);
        mpfr_sin(r19792, r19791, MPFR_RNDN);
        mpfr_mul(r19793, r19790, r19792, MPFR_RNDN);
        mpfr_cbrt(r19794, r19793, MPFR_RNDN);
        mpfr_mul(r19795, r19794, r19794, MPFR_RNDN);
        mpfr_mul(r19796, r19795, r19794, MPFR_RNDN);
        mpfr_sub(r19797, r19789, r19796, MPFR_RNDN);
        mpfr_mul(r19798, r19784, r19797, MPFR_RNDN);
        mpfr_add(r19799, r19781, r19798, MPFR_RNDN);
        mpfr_acos(r19800, r19799, MPFR_RNDN);
        mpfr_set_d(r19801, R, MPFR_RNDN);
        mpfr_mul(r19802, r19800, r19801, MPFR_RNDN);
        return mpfr_get_d(r19802, MPFR_RNDN);
}

static mpfr_t r19803, r19804, r19805, r19806, r19807, r19808, r19809, r19810, r19811, r19812, r19813, r19814, r19815, r19816, r19817, r19818, r19819, r19820, r19821, r19822, r19823, r19824, r19825, r19826, r19827, r19828;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2192);
        mpfr_init(r19803);
        mpfr_init(r19804);
        mpfr_init(r19805);
        mpfr_init(r19806);
        mpfr_init(r19807);
        mpfr_init(r19808);
        mpfr_init(r19809);
        mpfr_init(r19810);
        mpfr_init(r19811);
        mpfr_init(r19812);
        mpfr_init(r19813);
        mpfr_init(r19814);
        mpfr_init(r19815);
        mpfr_init(r19816);
        mpfr_init(r19817);
        mpfr_init(r19818);
        mpfr_init(r19819);
        mpfr_init(r19820);
        mpfr_init(r19821);
        mpfr_init(r19822);
        mpfr_init(r19823);
        mpfr_init(r19824);
        mpfr_init(r19825);
        mpfr_init(r19826);
        mpfr_init(r19827);
        mpfr_init(r19828);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r19803, phi1, MPFR_RNDN);
        mpfr_sin(r19804, r19803, MPFR_RNDN);
        mpfr_set_d(r19805, phi2, MPFR_RNDN);
        mpfr_sin(r19806, r19805, MPFR_RNDN);
        mpfr_mul(r19807, r19804, r19806, MPFR_RNDN);
        mpfr_cos(r19808, r19803, MPFR_RNDN);
        mpfr_cos(r19809, r19805, MPFR_RNDN);
        mpfr_mul(r19810, r19808, r19809, MPFR_RNDN);
        mpfr_set_d(r19811, lambda1, MPFR_RNDN);
        mpfr_cos(r19812, r19811, MPFR_RNDN);
        mpfr_set_d(r19813, lambda2, MPFR_RNDN);
        mpfr_cos(r19814, r19813, MPFR_RNDN);
        mpfr_mul(r19815, r19812, r19814, MPFR_RNDN);
        mpfr_sin(r19816, r19811, MPFR_RNDN);
        mpfr_neg(r19817, r19813, MPFR_RNDN);
        mpfr_sin(r19818, r19817, MPFR_RNDN);
        mpfr_mul(r19819, r19816, r19818, MPFR_RNDN);
        mpfr_cbrt(r19820, r19819, MPFR_RNDN);
        mpfr_mul(r19821, r19820, r19820, MPFR_RNDN);
        mpfr_mul(r19822, r19821, r19820, MPFR_RNDN);
        mpfr_sub(r19823, r19815, r19822, MPFR_RNDN);
        mpfr_mul(r19824, r19810, r19823, MPFR_RNDN);
        mpfr_add(r19825, r19807, r19824, MPFR_RNDN);
        mpfr_acos(r19826, r19825, MPFR_RNDN);
        mpfr_set_d(r19827, R, MPFR_RNDN);
        mpfr_mul(r19828, r19826, r19827, MPFR_RNDN);
        return mpfr_get_d(r19828, MPFR_RNDN);
}