#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 r19655 = phi1;
        float r19656 = sin(r19655);
        float r19657 = phi2;
        float r19658 = sin(r19657);
        float r19659 = r19656 * r19658;
        float r19660 = cos(r19655);
        float r19661 = cos(r19657);
        float r19662 = r19660 * r19661;
        float r19663 = lambda1;
        float r19664 = lambda2;
        float r19665 = r19663 - r19664;
        float r19666 = cos(r19665);
        float r19667 = r19662 * r19666;
        float r19668 = r19659 + r19667;
        float r19669 = acos(r19668);
        float r19670 = R;
        float r19671 = r19669 * r19670;
        return r19671;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r19672 = phi1;
        double r19673 = sin(r19672);
        double r19674 = phi2;
        double r19675 = sin(r19674);
        double r19676 = r19673 * r19675;
        double r19677 = cos(r19672);
        double r19678 = cos(r19674);
        double r19679 = r19677 * r19678;
        double r19680 = lambda1;
        double r19681 = lambda2;
        double r19682 = r19680 - r19681;
        double r19683 = cos(r19682);
        double r19684 = r19679 * r19683;
        double r19685 = r19676 + r19684;
        double r19686 = acos(r19685);
        double r19687 = R;
        double r19688 = r19686 * r19687;
        return r19688;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r19689 = phi1;
        float r19690 = sin(r19689);
        float r19691 = phi2;
        float r19692 = sin(r19691);
        float r19693 = r19690 * r19692;
        float r19694 = lambda1;
        float r19695 = cos(r19694);
        float r19696 = cos(r19691);
        float r19697 = cos(r19689);
        float r19698 = lambda2;
        float r19699 = cos(r19698);
        float r19700 = r19697 * r19699;
        float r19701 = r19696 * r19700;
        float r19702 = r19695 * r19701;
        float r19703 = r19693 + r19702;
        float r19704 = -r19698;
        float r19705 = sin(r19704);
        float r19706 = sin(r19694);
        float r19707 = r19705 * r19706;
        float r19708 = r19697 * r19707;
        float r19709 = r19696 * r19708;
        float r19710 = r19703 - r19709;
        float r19711 = acos(r19710);
        float r19712 = R;
        float r19713 = r19711 * r19712;
        return r19713;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r19714 = phi1;
        double r19715 = sin(r19714);
        double r19716 = phi2;
        double r19717 = sin(r19716);
        double r19718 = r19715 * r19717;
        double r19719 = lambda1;
        double r19720 = cos(r19719);
        double r19721 = cos(r19716);
        double r19722 = cos(r19714);
        double r19723 = lambda2;
        double r19724 = cos(r19723);
        double r19725 = r19722 * r19724;
        double r19726 = r19721 * r19725;
        double r19727 = r19720 * r19726;
        double r19728 = r19718 + r19727;
        double r19729 = -r19723;
        double r19730 = sin(r19729);
        double r19731 = sin(r19719);
        double r19732 = r19730 * r19731;
        double r19733 = r19722 * r19732;
        double r19734 = r19721 * r19733;
        double r19735 = r19728 - r19734;
        double r19736 = acos(r19735);
        double r19737 = R;
        double r19738 = r19736 * r19737;
        return r19738;
}

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 r19739, r19740, r19741, r19742, r19743, r19744, r19745, r19746, r19747, r19748, r19749, r19750, r19751, r19752, r19753, r19754, r19755;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2192);
        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);
        mpfr_init(r19749);
        mpfr_init(r19750);
        mpfr_init(r19751);
        mpfr_init(r19752);
        mpfr_init(r19753);
        mpfr_init(r19754);
        mpfr_init(r19755);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r19739, phi1, MPFR_RNDN);
        mpfr_sin(r19740, r19739, MPFR_RNDN);
        mpfr_set_d(r19741, phi2, MPFR_RNDN);
        mpfr_sin(r19742, r19741, MPFR_RNDN);
        mpfr_mul(r19743, r19740, r19742, MPFR_RNDN);
        mpfr_cos(r19744, r19739, MPFR_RNDN);
        mpfr_cos(r19745, r19741, MPFR_RNDN);
        mpfr_mul(r19746, r19744, r19745, MPFR_RNDN);
        mpfr_set_d(r19747, lambda1, MPFR_RNDN);
        mpfr_set_d(r19748, lambda2, MPFR_RNDN);
        mpfr_sub(r19749, r19747, r19748, MPFR_RNDN);
        mpfr_cos(r19750, r19749, MPFR_RNDN);
        mpfr_mul(r19751, r19746, r19750, MPFR_RNDN);
        mpfr_add(r19752, r19743, r19751, MPFR_RNDN);
        mpfr_acos(r19753, r19752, MPFR_RNDN);
        mpfr_set_d(r19754, R, MPFR_RNDN);
        mpfr_mul(r19755, r19753, r19754, MPFR_RNDN);
        return mpfr_get_d(r19755, MPFR_RNDN);
}

static mpfr_t r19756, r19757, r19758, r19759, r19760, r19761, r19762, r19763, r19764, r19765, r19766, r19767, r19768, r19769, r19770, r19771, r19772, r19773, r19774, r19775, r19776, r19777, r19778, r19779, r19780;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2192);
        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);
        mpfr_init(r19775);
        mpfr_init(r19776);
        mpfr_init(r19777);
        mpfr_init(r19778);
        mpfr_init(r19779);
        mpfr_init(r19780);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r19756, phi1, MPFR_RNDN);
        mpfr_sin(r19757, r19756, MPFR_RNDN);
        mpfr_set_d(r19758, phi2, MPFR_RNDN);
        mpfr_sin(r19759, r19758, MPFR_RNDN);
        mpfr_mul(r19760, r19757, r19759, MPFR_RNDN);
        mpfr_set_d(r19761, lambda1, MPFR_RNDN);
        mpfr_cos(r19762, r19761, MPFR_RNDN);
        mpfr_cos(r19763, r19758, MPFR_RNDN);
        mpfr_cos(r19764, r19756, MPFR_RNDN);
        mpfr_set_d(r19765, lambda2, MPFR_RNDN);
        mpfr_cos(r19766, r19765, MPFR_RNDN);
        mpfr_mul(r19767, r19764, r19766, MPFR_RNDN);
        mpfr_mul(r19768, r19763, r19767, MPFR_RNDN);
        mpfr_mul(r19769, r19762, r19768, MPFR_RNDN);
        mpfr_add(r19770, r19760, r19769, MPFR_RNDN);
        mpfr_neg(r19771, r19765, MPFR_RNDN);
        mpfr_sin(r19772, r19771, MPFR_RNDN);
        mpfr_sin(r19773, r19761, MPFR_RNDN);
        mpfr_mul(r19774, r19772, r19773, MPFR_RNDN);
        mpfr_mul(r19775, r19764, r19774, MPFR_RNDN);
        mpfr_mul(r19776, r19763, r19775, MPFR_RNDN);
        mpfr_sub(r19777, r19770, r19776, MPFR_RNDN);
        mpfr_acos(r19778, r19777, MPFR_RNDN);
        mpfr_set_d(r19779, R, MPFR_RNDN);
        mpfr_mul(r19780, r19778, r19779, MPFR_RNDN);
        return mpfr_get_d(r19780, MPFR_RNDN);
}

static mpfr_t r19781, r19782, r19783, r19784, r19785, r19786, r19787, r19788, r19789, r19790, r19791, r19792, r19793, r19794, r19795, r19796, r19797, r19798, r19799, r19800, r19801, r19802, r19803, r19804, r19805;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2192);
        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);
        mpfr_init(r19803);
        mpfr_init(r19804);
        mpfr_init(r19805);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r19781, phi1, MPFR_RNDN);
        mpfr_sin(r19782, r19781, MPFR_RNDN);
        mpfr_set_d(r19783, phi2, MPFR_RNDN);
        mpfr_sin(r19784, r19783, MPFR_RNDN);
        mpfr_mul(r19785, r19782, r19784, MPFR_RNDN);
        mpfr_set_d(r19786, lambda1, MPFR_RNDN);
        mpfr_cos(r19787, r19786, MPFR_RNDN);
        mpfr_cos(r19788, r19783, MPFR_RNDN);
        mpfr_cos(r19789, r19781, MPFR_RNDN);
        mpfr_set_d(r19790, lambda2, MPFR_RNDN);
        mpfr_cos(r19791, r19790, MPFR_RNDN);
        mpfr_mul(r19792, r19789, r19791, MPFR_RNDN);
        mpfr_mul(r19793, r19788, r19792, MPFR_RNDN);
        mpfr_mul(r19794, r19787, r19793, MPFR_RNDN);
        mpfr_add(r19795, r19785, r19794, MPFR_RNDN);
        mpfr_neg(r19796, r19790, MPFR_RNDN);
        mpfr_sin(r19797, r19796, MPFR_RNDN);
        mpfr_sin(r19798, r19786, MPFR_RNDN);
        mpfr_mul(r19799, r19797, r19798, MPFR_RNDN);
        mpfr_mul(r19800, r19789, r19799, MPFR_RNDN);
        mpfr_mul(r19801, r19788, r19800, MPFR_RNDN);
        mpfr_sub(r19802, r19795, r19801, MPFR_RNDN);
        mpfr_acos(r19803, r19802, MPFR_RNDN);
        mpfr_set_d(r19804, R, MPFR_RNDN);
        mpfr_mul(r19805, r19803, r19804, MPFR_RNDN);
        return mpfr_get_d(r19805, MPFR_RNDN);
}