#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 r19646 = phi1;
        float r19647 = sin(r19646);
        float r19648 = phi2;
        float r19649 = sin(r19648);
        float r19650 = r19647 * r19649;
        float r19651 = cos(r19646);
        float r19652 = cos(r19648);
        float r19653 = r19651 * r19652;
        float r19654 = lambda1;
        float r19655 = lambda2;
        float r19656 = r19654 - r19655;
        float r19657 = cos(r19656);
        float r19658 = r19653 * r19657;
        float r19659 = r19650 + r19658;
        float r19660 = acos(r19659);
        float r19661 = R;
        float r19662 = r19660 * r19661;
        return r19662;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r19663 = phi1;
        double r19664 = sin(r19663);
        double r19665 = phi2;
        double r19666 = sin(r19665);
        double r19667 = r19664 * r19666;
        double r19668 = cos(r19663);
        double r19669 = cos(r19665);
        double r19670 = r19668 * r19669;
        double r19671 = lambda1;
        double r19672 = lambda2;
        double r19673 = r19671 - r19672;
        double r19674 = cos(r19673);
        double r19675 = r19670 * r19674;
        double r19676 = r19667 + r19675;
        double r19677 = acos(r19676);
        double r19678 = R;
        double r19679 = r19677 * r19678;
        return r19679;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r19680 = phi1;
        float r19681 = sin(r19680);
        float r19682 = phi2;
        float r19683 = sin(r19682);
        float r19684 = r19681 * r19683;
        float r19685 = cos(r19680);
        float r19686 = cos(r19682);
        float r19687 = r19685 * r19686;
        float r19688 = lambda1;
        float r19689 = cos(r19688);
        float r19690 = lambda2;
        float r19691 = cos(r19690);
        float r19692 = r19689 * r19691;
        float r19693 = sin(r19688);
        float r19694 = -r19690;
        float r19695 = sin(r19694);
        float r19696 = r19693 * r19695;
        float r19697 = cbrt(r19696);
        float r19698 = r19697 * r19697;
        float r19699 = r19698 * r19697;
        float r19700 = r19692 - r19699;
        float r19701 = r19687 * r19700;
        float r19702 = r19684 + r19701;
        float r19703 = acos(r19702);
        float r19704 = R;
        float r19705 = r19703 * r19704;
        return r19705;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r19706 = phi1;
        double r19707 = sin(r19706);
        double r19708 = phi2;
        double r19709 = sin(r19708);
        double r19710 = r19707 * r19709;
        double r19711 = cos(r19706);
        double r19712 = cos(r19708);
        double r19713 = r19711 * r19712;
        double r19714 = lambda1;
        double r19715 = cos(r19714);
        double r19716 = lambda2;
        double r19717 = cos(r19716);
        double r19718 = r19715 * r19717;
        double r19719 = sin(r19714);
        double r19720 = -r19716;
        double r19721 = sin(r19720);
        double r19722 = r19719 * r19721;
        double r19723 = cbrt(r19722);
        double r19724 = r19723 * r19723;
        double r19725 = r19724 * r19723;
        double r19726 = r19718 - r19725;
        double r19727 = r19713 * r19726;
        double r19728 = r19710 + r19727;
        double r19729 = acos(r19728);
        double r19730 = R;
        double r19731 = r19729 * r19730;
        return r19731;
}

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 r19732, r19733, r19734, r19735, r19736, r19737, r19738, r19739, r19740, r19741, r19742, r19743, r19744, r19745, r19746, r19747, r19748;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2192);
        mpfr_init(r19732);
        mpfr_init(r19733);
        mpfr_init(r19734);
        mpfr_init(r19735);
        mpfr_init(r19736);
        mpfr_init(r19737);
        mpfr_init(r19738);
        mpfr_init(r19739);
        mpfr_init(r19740);
        mpfr_init(r19741);
        mpfr_init(r19742);
        mpfr_init(r19743);
        mpfr_init(r19744);
        mpfr_init(r19745);
        mpfr_init(r19746);
        mpfr_init(r19747);
        mpfr_init(r19748);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r19732, phi1, MPFR_RNDN);
        mpfr_sin(r19733, r19732, MPFR_RNDN);
        mpfr_set_d(r19734, phi2, MPFR_RNDN);
        mpfr_sin(r19735, r19734, MPFR_RNDN);
        mpfr_mul(r19736, r19733, r19735, MPFR_RNDN);
        mpfr_cos(r19737, r19732, MPFR_RNDN);
        mpfr_cos(r19738, r19734, MPFR_RNDN);
        mpfr_mul(r19739, r19737, r19738, MPFR_RNDN);
        mpfr_set_d(r19740, lambda1, MPFR_RNDN);
        mpfr_set_d(r19741, lambda2, MPFR_RNDN);
        mpfr_sub(r19742, r19740, r19741, MPFR_RNDN);
        mpfr_cos(r19743, r19742, MPFR_RNDN);
        mpfr_mul(r19744, r19739, r19743, MPFR_RNDN);
        mpfr_add(r19745, r19736, r19744, MPFR_RNDN);
        mpfr_acos(r19746, r19745, MPFR_RNDN);
        mpfr_set_d(r19747, R, MPFR_RNDN);
        mpfr_mul(r19748, r19746, r19747, MPFR_RNDN);
        return mpfr_get_d(r19748, MPFR_RNDN);
}

static mpfr_t r19749, r19750, r19751, r19752, r19753, r19754, r19755, r19756, r19757, r19758, r19759, r19760, r19761, r19762, r19763, r19764, r19765, r19766, r19767, r19768, r19769, r19770, r19771, r19772, r19773, r19774;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2192);
        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);
        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_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r19749, phi1, MPFR_RNDN);
        mpfr_sin(r19750, r19749, MPFR_RNDN);
        mpfr_set_d(r19751, phi2, MPFR_RNDN);
        mpfr_sin(r19752, r19751, MPFR_RNDN);
        mpfr_mul(r19753, r19750, r19752, MPFR_RNDN);
        mpfr_cos(r19754, r19749, MPFR_RNDN);
        mpfr_cos(r19755, r19751, MPFR_RNDN);
        mpfr_mul(r19756, r19754, r19755, MPFR_RNDN);
        mpfr_set_d(r19757, lambda1, MPFR_RNDN);
        mpfr_cos(r19758, r19757, MPFR_RNDN);
        mpfr_set_d(r19759, lambda2, MPFR_RNDN);
        mpfr_cos(r19760, r19759, MPFR_RNDN);
        mpfr_mul(r19761, r19758, r19760, MPFR_RNDN);
        mpfr_sin(r19762, r19757, MPFR_RNDN);
        mpfr_neg(r19763, r19759, MPFR_RNDN);
        mpfr_sin(r19764, r19763, MPFR_RNDN);
        mpfr_mul(r19765, r19762, r19764, MPFR_RNDN);
        mpfr_cbrt(r19766, r19765, MPFR_RNDN);
        mpfr_mul(r19767, r19766, r19766, MPFR_RNDN);
        mpfr_mul(r19768, r19767, r19766, MPFR_RNDN);
        mpfr_sub(r19769, r19761, r19768, MPFR_RNDN);
        mpfr_mul(r19770, r19756, r19769, MPFR_RNDN);
        mpfr_add(r19771, r19753, 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, r19800;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2192);
        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);
        mpfr_init(r19800);
}

double f_dm(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_cos(r19780, r19775, MPFR_RNDN);
        mpfr_cos(r19781, r19777, MPFR_RNDN);
        mpfr_mul(r19782, r19780, r19781, MPFR_RNDN);
        mpfr_set_d(r19783, lambda1, MPFR_RNDN);
        mpfr_cos(r19784, r19783, MPFR_RNDN);
        mpfr_set_d(r19785, lambda2, MPFR_RNDN);
        mpfr_cos(r19786, r19785, MPFR_RNDN);
        mpfr_mul(r19787, r19784, r19786, MPFR_RNDN);
        mpfr_sin(r19788, r19783, MPFR_RNDN);
        mpfr_neg(r19789, r19785, MPFR_RNDN);
        mpfr_sin(r19790, r19789, MPFR_RNDN);
        mpfr_mul(r19791, r19788, r19790, MPFR_RNDN);
        mpfr_cbrt(r19792, r19791, MPFR_RNDN);
        mpfr_mul(r19793, r19792, r19792, MPFR_RNDN);
        mpfr_mul(r19794, r19793, r19792, MPFR_RNDN);
        mpfr_sub(r19795, r19787, r19794, MPFR_RNDN);
        mpfr_mul(r19796, r19782, r19795, MPFR_RNDN);
        mpfr_add(r19797, r19779, r19796, MPFR_RNDN);
        mpfr_acos(r19798, r19797, MPFR_RNDN);
        mpfr_set_d(r19799, R, MPFR_RNDN);
        mpfr_mul(r19800, r19798, r19799, MPFR_RNDN);
        return mpfr_get_d(r19800, MPFR_RNDN);
}