#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 = lambda1;
        float r19714 = cos(r19713);
        float r19715 = cos(r19710);
        float r19716 = cos(r19708);
        float r19717 = lambda2;
        float r19718 = cos(r19717);
        float r19719 = r19716 * r19718;
        float r19720 = r19715 * r19719;
        float r19721 = r19714 * r19720;
        float r19722 = r19712 + r19721;
        float r19723 = -r19717;
        float r19724 = sin(r19723);
        float r19725 = sin(r19713);
        float r19726 = r19724 * r19725;
        float r19727 = r19716 * r19726;
        float r19728 = r19715 * r19727;
        float r19729 = r19722 - r19728;
        float r19730 = acos(r19729);
        float r19731 = R;
        float r19732 = r19730 * r19731;
        return r19732;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r19733 = phi1;
        double r19734 = sin(r19733);
        double r19735 = phi2;
        double r19736 = sin(r19735);
        double r19737 = r19734 * r19736;
        double r19738 = lambda1;
        double r19739 = cos(r19738);
        double r19740 = cos(r19735);
        double r19741 = cos(r19733);
        double r19742 = lambda2;
        double r19743 = cos(r19742);
        double r19744 = r19741 * r19743;
        double r19745 = r19740 * r19744;
        double r19746 = r19739 * r19745;
        double r19747 = r19737 + r19746;
        double r19748 = -r19742;
        double r19749 = sin(r19748);
        double r19750 = sin(r19738);
        double r19751 = r19749 * r19750;
        double r19752 = r19741 * r19751;
        double r19753 = r19740 * r19752;
        double r19754 = r19747 - r19753;
        double r19755 = acos(r19754);
        double r19756 = R;
        double r19757 = r19755 * r19756;
        return r19757;
}

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 r19758, r19759, r19760, r19761, r19762, r19763, r19764, r19765, r19766, r19767, r19768, r19769, r19770, r19771, r19772, r19773, r19774;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1936);
        mpfr_init(r19758);
        mpfr_init(r19759);
        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);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r19758, phi1, MPFR_RNDN);
        mpfr_sin(r19759, r19758, MPFR_RNDN);
        mpfr_set_d(r19760, phi2, MPFR_RNDN);
        mpfr_sin(r19761, r19760, MPFR_RNDN);
        mpfr_mul(r19762, r19759, r19761, MPFR_RNDN);
        mpfr_cos(r19763, r19758, MPFR_RNDN);
        mpfr_cos(r19764, r19760, MPFR_RNDN);
        mpfr_mul(r19765, r19763, r19764, MPFR_RNDN);
        mpfr_set_d(r19766, lambda1, MPFR_RNDN);
        mpfr_set_d(r19767, lambda2, MPFR_RNDN);
        mpfr_sub(r19768, r19766, r19767, MPFR_RNDN);
        mpfr_cos(r19769, r19768, MPFR_RNDN);
        mpfr_mul(r19770, r19765, r19769, MPFR_RNDN);
        mpfr_add(r19771, r19762, r19770, MPFR_RNDN);
        mpfr_acos(r19772, r19771, MPFR_RNDN);
        mpfr_set_d(r19773, R, MPFR_RNDN);
        mpfr_mul(r19774, r19772, r19773, MPFR_RNDN);
        return mpfr_get_d(r19774, MPFR_RNDN);
}

static mpfr_t r19775, r19776, r19777, r19778, r19779, r19780, r19781, r19782, r19783, r19784, r19785, r19786, r19787, r19788, r19789, r19790, r19791, r19792, r19793, r19794, r19795, r19796, r19797, r19798, r19799;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1936);
        mpfr_init(r19775);
        mpfr_init(r19776);
        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);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r19775, phi1, MPFR_RNDN);
        mpfr_sin(r19776, r19775, MPFR_RNDN);
        mpfr_set_d(r19777, phi2, MPFR_RNDN);
        mpfr_sin(r19778, r19777, MPFR_RNDN);
        mpfr_mul(r19779, r19776, r19778, MPFR_RNDN);
        mpfr_set_d(r19780, lambda1, MPFR_RNDN);
        mpfr_cos(r19781, r19780, MPFR_RNDN);
        mpfr_cos(r19782, r19777, MPFR_RNDN);
        mpfr_cos(r19783, r19775, MPFR_RNDN);
        mpfr_set_d(r19784, lambda2, MPFR_RNDN);
        mpfr_cos(r19785, r19784, MPFR_RNDN);
        mpfr_mul(r19786, r19783, r19785, MPFR_RNDN);
        mpfr_mul(r19787, r19782, r19786, MPFR_RNDN);
        mpfr_mul(r19788, r19781, r19787, MPFR_RNDN);
        mpfr_add(r19789, r19779, r19788, MPFR_RNDN);
        mpfr_neg(r19790, r19784, MPFR_RNDN);
        mpfr_sin(r19791, r19790, MPFR_RNDN);
        mpfr_sin(r19792, r19780, MPFR_RNDN);
        mpfr_mul(r19793, r19791, r19792, MPFR_RNDN);
        mpfr_mul(r19794, r19783, r19793, MPFR_RNDN);
        mpfr_mul(r19795, r19782, r19794, MPFR_RNDN);
        mpfr_sub(r19796, r19789, r19795, MPFR_RNDN);
        mpfr_acos(r19797, r19796, MPFR_RNDN);
        mpfr_set_d(r19798, R, MPFR_RNDN);
        mpfr_mul(r19799, r19797, r19798, MPFR_RNDN);
        return mpfr_get_d(r19799, MPFR_RNDN);
}

static mpfr_t r19800, r19801, r19802, r19803, r19804, r19805, r19806, r19807, r19808, r19809, r19810, r19811, r19812, r19813, r19814, r19815, r19816, r19817, r19818, r19819, r19820, r19821, r19822, r19823, r19824;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1936);
        mpfr_init(r19800);
        mpfr_init(r19801);
        mpfr_init(r19802);
        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);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r19800, phi1, MPFR_RNDN);
        mpfr_sin(r19801, r19800, MPFR_RNDN);
        mpfr_set_d(r19802, phi2, MPFR_RNDN);
        mpfr_sin(r19803, r19802, MPFR_RNDN);
        mpfr_mul(r19804, r19801, r19803, MPFR_RNDN);
        mpfr_set_d(r19805, lambda1, MPFR_RNDN);
        mpfr_cos(r19806, r19805, MPFR_RNDN);
        mpfr_cos(r19807, r19802, MPFR_RNDN);
        mpfr_cos(r19808, r19800, MPFR_RNDN);
        mpfr_set_d(r19809, lambda2, MPFR_RNDN);
        mpfr_cos(r19810, r19809, MPFR_RNDN);
        mpfr_mul(r19811, r19808, r19810, MPFR_RNDN);
        mpfr_mul(r19812, r19807, r19811, MPFR_RNDN);
        mpfr_mul(r19813, r19806, r19812, MPFR_RNDN);
        mpfr_add(r19814, r19804, r19813, MPFR_RNDN);
        mpfr_neg(r19815, r19809, MPFR_RNDN);
        mpfr_sin(r19816, r19815, MPFR_RNDN);
        mpfr_sin(r19817, r19805, MPFR_RNDN);
        mpfr_mul(r19818, r19816, r19817, MPFR_RNDN);
        mpfr_mul(r19819, r19808, r19818, MPFR_RNDN);
        mpfr_mul(r19820, r19807, r19819, MPFR_RNDN);
        mpfr_sub(r19821, r19814, r19820, MPFR_RNDN);
        mpfr_acos(r19822, r19821, MPFR_RNDN);
        mpfr_set_d(r19823, R, MPFR_RNDN);
        mpfr_mul(r19824, r19822, r19823, MPFR_RNDN);
        return mpfr_get_d(r19824, MPFR_RNDN);
}