#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 r19659 = phi1;
        float r19660 = sin(r19659);
        float r19661 = phi2;
        float r19662 = sin(r19661);
        float r19663 = r19660 * r19662;
        float r19664 = cos(r19659);
        float r19665 = cos(r19661);
        float r19666 = r19664 * r19665;
        float r19667 = lambda1;
        float r19668 = lambda2;
        float r19669 = r19667 - r19668;
        float r19670 = cos(r19669);
        float r19671 = r19666 * r19670;
        float r19672 = r19663 + r19671;
        float r19673 = acos(r19672);
        float r19674 = R;
        float r19675 = r19673 * r19674;
        return r19675;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r19676 = phi1;
        double r19677 = sin(r19676);
        double r19678 = phi2;
        double r19679 = sin(r19678);
        double r19680 = r19677 * r19679;
        double r19681 = cos(r19676);
        double r19682 = cos(r19678);
        double r19683 = r19681 * r19682;
        double r19684 = lambda1;
        double r19685 = lambda2;
        double r19686 = r19684 - r19685;
        double r19687 = cos(r19686);
        double r19688 = r19683 * r19687;
        double r19689 = r19680 + r19688;
        double r19690 = acos(r19689);
        double r19691 = R;
        double r19692 = r19690 * r19691;
        return r19692;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r19693 = phi1;
        float r19694 = sin(r19693);
        float r19695 = phi2;
        float r19696 = sin(r19695);
        float r19697 = r19694 * r19696;
        float r19698 = lambda1;
        float r19699 = cos(r19698);
        float r19700 = cos(r19695);
        float r19701 = cos(r19693);
        float r19702 = lambda2;
        float r19703 = cos(r19702);
        float r19704 = r19701 * r19703;
        float r19705 = r19700 * r19704;
        float r19706 = r19699 * r19705;
        float r19707 = r19697 + r19706;
        float r19708 = -r19702;
        float r19709 = sin(r19708);
        float r19710 = sin(r19698);
        float r19711 = r19709 * r19710;
        float r19712 = r19701 * r19711;
        float r19713 = r19700 * r19712;
        float r19714 = r19707 - r19713;
        float r19715 = acos(r19714);
        float r19716 = R;
        float r19717 = r19715 * r19716;
        return r19717;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r19718 = phi1;
        double r19719 = sin(r19718);
        double r19720 = phi2;
        double r19721 = sin(r19720);
        double r19722 = r19719 * r19721;
        double r19723 = lambda1;
        double r19724 = cos(r19723);
        double r19725 = cos(r19720);
        double r19726 = cos(r19718);
        double r19727 = lambda2;
        double r19728 = cos(r19727);
        double r19729 = r19726 * r19728;
        double r19730 = r19725 * r19729;
        double r19731 = r19724 * r19730;
        double r19732 = r19722 + r19731;
        double r19733 = -r19727;
        double r19734 = sin(r19733);
        double r19735 = sin(r19723);
        double r19736 = r19734 * r19735;
        double r19737 = r19726 * r19736;
        double r19738 = r19725 * r19737;
        double r19739 = r19732 - r19738;
        double r19740 = acos(r19739);
        double r19741 = R;
        double r19742 = r19740 * r19741;
        return r19742;
}

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 r19743, r19744, r19745, r19746, r19747, r19748, r19749, r19750, r19751, r19752, r19753, r19754, r19755, r19756, r19757, r19758, r19759;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2192);
        mpfr_init(r19743);
        mpfr_init(r19744);
        mpfr_init(r19745);
        mpfr_init(r19746);
        mpfr_init(r19747);
        mpfr_init(r19748);
        mpfr_init(r19749);
        mpfr_init(r19750);
        mpfr_init(r19751);
        mpfr_init(r19752);
        mpfr_init(r19753);
        mpfr_init(r19754);
        mpfr_init(r19755);
        mpfr_init(r19756);
        mpfr_init(r19757);
        mpfr_init(r19758);
        mpfr_init(r19759);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r19743, phi1, MPFR_RNDN);
        mpfr_sin(r19744, r19743, MPFR_RNDN);
        mpfr_set_d(r19745, phi2, MPFR_RNDN);
        mpfr_sin(r19746, r19745, MPFR_RNDN);
        mpfr_mul(r19747, r19744, r19746, MPFR_RNDN);
        mpfr_cos(r19748, r19743, MPFR_RNDN);
        mpfr_cos(r19749, r19745, MPFR_RNDN);
        mpfr_mul(r19750, r19748, r19749, MPFR_RNDN);
        mpfr_set_d(r19751, lambda1, MPFR_RNDN);
        mpfr_set_d(r19752, lambda2, MPFR_RNDN);
        mpfr_sub(r19753, r19751, r19752, MPFR_RNDN);
        mpfr_cos(r19754, r19753, MPFR_RNDN);
        mpfr_mul(r19755, r19750, r19754, MPFR_RNDN);
        mpfr_add(r19756, r19747, r19755, MPFR_RNDN);
        mpfr_acos(r19757, r19756, MPFR_RNDN);
        mpfr_set_d(r19758, R, MPFR_RNDN);
        mpfr_mul(r19759, r19757, r19758, MPFR_RNDN);
        return mpfr_get_d(r19759, MPFR_RNDN);
}

static mpfr_t r19760, r19761, r19762, r19763, r19764, r19765, r19766, r19767, r19768, r19769, r19770, r19771, r19772, r19773, r19774, r19775, r19776, r19777, r19778, r19779, r19780, r19781, r19782, r19783, r19784;

void setup_mpfr_f_fm() {
        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);
        mpfr_init(r19777);
        mpfr_init(r19778);
        mpfr_init(r19779);
        mpfr_init(r19780);
        mpfr_init(r19781);
        mpfr_init(r19782);
        mpfr_init(r19783);
        mpfr_init(r19784);
}

double f_fm(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_set_d(r19765, lambda1, MPFR_RNDN);
        mpfr_cos(r19766, r19765, MPFR_RNDN);
        mpfr_cos(r19767, r19762, MPFR_RNDN);
        mpfr_cos(r19768, r19760, MPFR_RNDN);
        mpfr_set_d(r19769, lambda2, MPFR_RNDN);
        mpfr_cos(r19770, r19769, MPFR_RNDN);
        mpfr_mul(r19771, r19768, r19770, MPFR_RNDN);
        mpfr_mul(r19772, r19767, r19771, MPFR_RNDN);
        mpfr_mul(r19773, r19766, r19772, MPFR_RNDN);
        mpfr_add(r19774, r19764, r19773, MPFR_RNDN);
        mpfr_neg(r19775, r19769, MPFR_RNDN);
        mpfr_sin(r19776, r19775, MPFR_RNDN);
        mpfr_sin(r19777, r19765, MPFR_RNDN);
        mpfr_mul(r19778, r19776, r19777, MPFR_RNDN);
        mpfr_mul(r19779, r19768, r19778, MPFR_RNDN);
        mpfr_mul(r19780, r19767, r19779, MPFR_RNDN);
        mpfr_sub(r19781, r19774, r19780, MPFR_RNDN);
        mpfr_acos(r19782, r19781, MPFR_RNDN);
        mpfr_set_d(r19783, R, MPFR_RNDN);
        mpfr_mul(r19784, r19782, r19783, MPFR_RNDN);
        return mpfr_get_d(r19784, MPFR_RNDN);
}

static mpfr_t r19785, r19786, r19787, r19788, r19789, r19790, r19791, r19792, r19793, r19794, r19795, r19796, r19797, r19798, r19799, r19800, r19801, r19802, r19803, r19804, r19805, r19806, r19807, r19808, r19809;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2192);
        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);
        mpfr_init(r19803);
        mpfr_init(r19804);
        mpfr_init(r19805);
        mpfr_init(r19806);
        mpfr_init(r19807);
        mpfr_init(r19808);
        mpfr_init(r19809);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r19785, phi1, MPFR_RNDN);
        mpfr_sin(r19786, r19785, MPFR_RNDN);
        mpfr_set_d(r19787, phi2, MPFR_RNDN);
        mpfr_sin(r19788, r19787, MPFR_RNDN);
        mpfr_mul(r19789, r19786, r19788, MPFR_RNDN);
        mpfr_set_d(r19790, lambda1, MPFR_RNDN);
        mpfr_cos(r19791, r19790, MPFR_RNDN);
        mpfr_cos(r19792, r19787, MPFR_RNDN);
        mpfr_cos(r19793, r19785, MPFR_RNDN);
        mpfr_set_d(r19794, lambda2, MPFR_RNDN);
        mpfr_cos(r19795, r19794, MPFR_RNDN);
        mpfr_mul(r19796, r19793, r19795, MPFR_RNDN);
        mpfr_mul(r19797, r19792, r19796, MPFR_RNDN);
        mpfr_mul(r19798, r19791, r19797, MPFR_RNDN);
        mpfr_add(r19799, r19789, r19798, MPFR_RNDN);
        mpfr_neg(r19800, r19794, MPFR_RNDN);
        mpfr_sin(r19801, r19800, MPFR_RNDN);
        mpfr_sin(r19802, r19790, MPFR_RNDN);
        mpfr_mul(r19803, r19801, r19802, MPFR_RNDN);
        mpfr_mul(r19804, r19793, r19803, MPFR_RNDN);
        mpfr_mul(r19805, r19792, r19804, MPFR_RNDN);
        mpfr_sub(r19806, r19799, r19805, MPFR_RNDN);
        mpfr_acos(r19807, r19806, MPFR_RNDN);
        mpfr_set_d(r19808, R, MPFR_RNDN);
        mpfr_mul(r19809, r19807, r19808, MPFR_RNDN);
        return mpfr_get_d(r19809, MPFR_RNDN);
}