#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 r20669 = phi1;
        float r20670 = sin(r20669);
        float r20671 = phi2;
        float r20672 = sin(r20671);
        float r20673 = r20670 * r20672;
        float r20674 = cos(r20669);
        float r20675 = cos(r20671);
        float r20676 = r20674 * r20675;
        float r20677 = lambda1;
        float r20678 = lambda2;
        float r20679 = r20677 - r20678;
        float r20680 = cos(r20679);
        float r20681 = r20676 * r20680;
        float r20682 = r20673 + r20681;
        float r20683 = acos(r20682);
        float r20684 = R;
        float r20685 = r20683 * r20684;
        return r20685;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r20686 = phi1;
        double r20687 = sin(r20686);
        double r20688 = phi2;
        double r20689 = sin(r20688);
        double r20690 = r20687 * r20689;
        double r20691 = cos(r20686);
        double r20692 = cos(r20688);
        double r20693 = r20691 * r20692;
        double r20694 = lambda1;
        double r20695 = lambda2;
        double r20696 = r20694 - r20695;
        double r20697 = cos(r20696);
        double r20698 = r20693 * r20697;
        double r20699 = r20690 + r20698;
        double r20700 = acos(r20699);
        double r20701 = R;
        double r20702 = r20700 * r20701;
        return r20702;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r20703 = phi1;
        float r20704 = sin(r20703);
        float r20705 = phi2;
        float r20706 = sin(r20705);
        float r20707 = r20704 * r20706;
        float r20708 = expm1(r20707);
        float r20709 = log1p(r20708);
        float r20710 = cos(r20703);
        float r20711 = cos(r20705);
        float r20712 = r20710 * r20711;
        float r20713 = lambda1;
        float r20714 = cos(r20713);
        float r20715 = lambda2;
        float r20716 = cos(r20715);
        float r20717 = r20714 * r20716;
        float r20718 = sin(r20713);
        float r20719 = -r20715;
        float r20720 = sin(r20719);
        float r20721 = r20718 * r20720;
        float r20722 = r20717 - r20721;
        float r20723 = r20712 * r20722;
        float r20724 = r20709 + r20723;
        float r20725 = acos(r20724);
        float r20726 = R;
        float r20727 = r20725 * r20726;
        return r20727;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r20728 = phi1;
        double r20729 = sin(r20728);
        double r20730 = phi2;
        double r20731 = sin(r20730);
        double r20732 = r20729 * r20731;
        double r20733 = expm1(r20732);
        double r20734 = log1p(r20733);
        double r20735 = cos(r20728);
        double r20736 = cos(r20730);
        double r20737 = r20735 * r20736;
        double r20738 = lambda1;
        double r20739 = cos(r20738);
        double r20740 = lambda2;
        double r20741 = cos(r20740);
        double r20742 = r20739 * r20741;
        double r20743 = sin(r20738);
        double r20744 = -r20740;
        double r20745 = sin(r20744);
        double r20746 = r20743 * r20745;
        double r20747 = r20742 - r20746;
        double r20748 = r20737 * r20747;
        double r20749 = r20734 + r20748;
        double r20750 = acos(r20749);
        double r20751 = R;
        double r20752 = r20750 * r20751;
        return r20752;
}

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 r20753, r20754, r20755, r20756, r20757, r20758, r20759, r20760, r20761, r20762, r20763, r20764, r20765, r20766, r20767, r20768, r20769;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1936);
        mpfr_init(r20753);
        mpfr_init(r20754);
        mpfr_init(r20755);
        mpfr_init(r20756);
        mpfr_init(r20757);
        mpfr_init(r20758);
        mpfr_init(r20759);
        mpfr_init(r20760);
        mpfr_init(r20761);
        mpfr_init(r20762);
        mpfr_init(r20763);
        mpfr_init(r20764);
        mpfr_init(r20765);
        mpfr_init(r20766);
        mpfr_init(r20767);
        mpfr_init(r20768);
        mpfr_init(r20769);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r20753, phi1, MPFR_RNDN);
        mpfr_sin(r20754, r20753, MPFR_RNDN);
        mpfr_set_d(r20755, phi2, MPFR_RNDN);
        mpfr_sin(r20756, r20755, MPFR_RNDN);
        mpfr_mul(r20757, r20754, r20756, MPFR_RNDN);
        mpfr_cos(r20758, r20753, MPFR_RNDN);
        mpfr_cos(r20759, r20755, MPFR_RNDN);
        mpfr_mul(r20760, r20758, r20759, MPFR_RNDN);
        mpfr_set_d(r20761, lambda1, MPFR_RNDN);
        mpfr_set_d(r20762, lambda2, MPFR_RNDN);
        mpfr_sub(r20763, r20761, r20762, MPFR_RNDN);
        mpfr_cos(r20764, r20763, MPFR_RNDN);
        mpfr_mul(r20765, r20760, r20764, MPFR_RNDN);
        mpfr_add(r20766, r20757, r20765, MPFR_RNDN);
        mpfr_acos(r20767, r20766, MPFR_RNDN);
        mpfr_set_d(r20768, R, MPFR_RNDN);
        mpfr_mul(r20769, r20767, r20768, MPFR_RNDN);
        return mpfr_get_d(r20769, MPFR_RNDN);
}

static mpfr_t r20770, r20771, r20772, r20773, r20774, r20775, r20776, r20777, r20778, r20779, r20780, r20781, r20782, r20783, r20784, r20785, r20786, r20787, r20788, r20789, r20790, r20791, r20792, r20793, r20794;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1936);
        mpfr_init(r20770);
        mpfr_init(r20771);
        mpfr_init(r20772);
        mpfr_init(r20773);
        mpfr_init(r20774);
        mpfr_init(r20775);
        mpfr_init(r20776);
        mpfr_init(r20777);
        mpfr_init(r20778);
        mpfr_init(r20779);
        mpfr_init(r20780);
        mpfr_init(r20781);
        mpfr_init(r20782);
        mpfr_init(r20783);
        mpfr_init(r20784);
        mpfr_init(r20785);
        mpfr_init(r20786);
        mpfr_init(r20787);
        mpfr_init(r20788);
        mpfr_init(r20789);
        mpfr_init(r20790);
        mpfr_init(r20791);
        mpfr_init(r20792);
        mpfr_init(r20793);
        mpfr_init(r20794);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r20770, phi1, MPFR_RNDN);
        mpfr_sin(r20771, r20770, MPFR_RNDN);
        mpfr_set_d(r20772, phi2, MPFR_RNDN);
        mpfr_sin(r20773, r20772, MPFR_RNDN);
        mpfr_mul(r20774, r20771, r20773, MPFR_RNDN);
        mpfr_expm1(r20775, r20774, MPFR_RNDN);
        mpfr_log1p(r20776, r20775, MPFR_RNDN);
        mpfr_cos(r20777, r20770, MPFR_RNDN);
        mpfr_cos(r20778, r20772, MPFR_RNDN);
        mpfr_mul(r20779, r20777, r20778, MPFR_RNDN);
        mpfr_set_d(r20780, lambda1, MPFR_RNDN);
        mpfr_cos(r20781, r20780, MPFR_RNDN);
        mpfr_set_d(r20782, lambda2, MPFR_RNDN);
        mpfr_cos(r20783, r20782, MPFR_RNDN);
        mpfr_mul(r20784, r20781, r20783, MPFR_RNDN);
        mpfr_sin(r20785, r20780, MPFR_RNDN);
        mpfr_neg(r20786, r20782, MPFR_RNDN);
        mpfr_sin(r20787, r20786, MPFR_RNDN);
        mpfr_mul(r20788, r20785, r20787, MPFR_RNDN);
        mpfr_sub(r20789, r20784, r20788, MPFR_RNDN);
        mpfr_mul(r20790, r20779, r20789, MPFR_RNDN);
        mpfr_add(r20791, r20776, r20790, MPFR_RNDN);
        mpfr_acos(r20792, r20791, MPFR_RNDN);
        mpfr_set_d(r20793, R, MPFR_RNDN);
        mpfr_mul(r20794, r20792, r20793, MPFR_RNDN);
        return mpfr_get_d(r20794, MPFR_RNDN);
}

static mpfr_t r20795, r20796, r20797, r20798, r20799, r20800, r20801, r20802, r20803, r20804, r20805, r20806, r20807, r20808, r20809, r20810, r20811, r20812, r20813, r20814, r20815, r20816, r20817, r20818, r20819;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1936);
        mpfr_init(r20795);
        mpfr_init(r20796);
        mpfr_init(r20797);
        mpfr_init(r20798);
        mpfr_init(r20799);
        mpfr_init(r20800);
        mpfr_init(r20801);
        mpfr_init(r20802);
        mpfr_init(r20803);
        mpfr_init(r20804);
        mpfr_init(r20805);
        mpfr_init(r20806);
        mpfr_init(r20807);
        mpfr_init(r20808);
        mpfr_init(r20809);
        mpfr_init(r20810);
        mpfr_init(r20811);
        mpfr_init(r20812);
        mpfr_init(r20813);
        mpfr_init(r20814);
        mpfr_init(r20815);
        mpfr_init(r20816);
        mpfr_init(r20817);
        mpfr_init(r20818);
        mpfr_init(r20819);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r20795, phi1, MPFR_RNDN);
        mpfr_sin(r20796, r20795, MPFR_RNDN);
        mpfr_set_d(r20797, phi2, MPFR_RNDN);
        mpfr_sin(r20798, r20797, MPFR_RNDN);
        mpfr_mul(r20799, r20796, r20798, MPFR_RNDN);
        mpfr_expm1(r20800, r20799, MPFR_RNDN);
        mpfr_log1p(r20801, r20800, MPFR_RNDN);
        mpfr_cos(r20802, r20795, MPFR_RNDN);
        mpfr_cos(r20803, r20797, MPFR_RNDN);
        mpfr_mul(r20804, r20802, r20803, MPFR_RNDN);
        mpfr_set_d(r20805, lambda1, MPFR_RNDN);
        mpfr_cos(r20806, r20805, MPFR_RNDN);
        mpfr_set_d(r20807, lambda2, MPFR_RNDN);
        mpfr_cos(r20808, r20807, MPFR_RNDN);
        mpfr_mul(r20809, r20806, r20808, MPFR_RNDN);
        mpfr_sin(r20810, r20805, MPFR_RNDN);
        mpfr_neg(r20811, r20807, MPFR_RNDN);
        mpfr_sin(r20812, r20811, MPFR_RNDN);
        mpfr_mul(r20813, r20810, r20812, MPFR_RNDN);
        mpfr_sub(r20814, r20809, r20813, MPFR_RNDN);
        mpfr_mul(r20815, r20804, r20814, MPFR_RNDN);
        mpfr_add(r20816, r20801, r20815, MPFR_RNDN);
        mpfr_acos(r20817, r20816, MPFR_RNDN);
        mpfr_set_d(r20818, R, MPFR_RNDN);
        mpfr_mul(r20819, r20817, r20818, MPFR_RNDN);
        return mpfr_get_d(r20819, MPFR_RNDN);
}