#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 r20656 = phi1;
        float r20657 = sin(r20656);
        float r20658 = phi2;
        float r20659 = sin(r20658);
        float r20660 = r20657 * r20659;
        float r20661 = cos(r20656);
        float r20662 = cos(r20658);
        float r20663 = r20661 * r20662;
        float r20664 = lambda1;
        float r20665 = lambda2;
        float r20666 = r20664 - r20665;
        float r20667 = cos(r20666);
        float r20668 = r20663 * r20667;
        float r20669 = r20660 + r20668;
        float r20670 = acos(r20669);
        float r20671 = R;
        float r20672 = r20670 * r20671;
        return r20672;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r20673 = phi1;
        double r20674 = sin(r20673);
        double r20675 = phi2;
        double r20676 = sin(r20675);
        double r20677 = r20674 * r20676;
        double r20678 = cos(r20673);
        double r20679 = cos(r20675);
        double r20680 = r20678 * r20679;
        double r20681 = lambda1;
        double r20682 = lambda2;
        double r20683 = r20681 - r20682;
        double r20684 = cos(r20683);
        double r20685 = r20680 * r20684;
        double r20686 = r20677 + r20685;
        double r20687 = acos(r20686);
        double r20688 = R;
        double r20689 = r20687 * r20688;
        return r20689;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r20690 = atan2(1.0, 0.0);
        float r20691 = 2;
        float r20692 = r20690 / r20691;
        float r20693 = phi1;
        float r20694 = cos(r20693);
        float r20695 = phi2;
        float r20696 = cos(r20695);
        float r20697 = r20694 * r20696;
        float r20698 = lambda1;
        float r20699 = cos(r20698);
        float r20700 = lambda2;
        float r20701 = cos(r20700);
        float r20702 = sin(r20700);
        float r20703 = sin(r20698);
        float r20704 = r20702 * r20703;
        float r20705 = fma(r20699, r20701, r20704);
        float r20706 = sin(r20693);
        float r20707 = sin(r20695);
        float r20708 = r20706 * r20707;
        float r20709 = fma(r20697, r20705, r20708);
        float r20710 = asin(r20709);
        float r20711 = r20692 - r20710;
        float r20712 = R;
        float r20713 = r20711 * r20712;
        return r20713;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r20714 = atan2(1.0, 0.0);
        double r20715 = 2;
        double r20716 = r20714 / r20715;
        double r20717 = phi1;
        double r20718 = cos(r20717);
        double r20719 = phi2;
        double r20720 = cos(r20719);
        double r20721 = r20718 * r20720;
        double r20722 = lambda1;
        double r20723 = cos(r20722);
        double r20724 = lambda2;
        double r20725 = cos(r20724);
        double r20726 = sin(r20724);
        double r20727 = sin(r20722);
        double r20728 = r20726 * r20727;
        double r20729 = fma(r20723, r20725, r20728);
        double r20730 = sin(r20717);
        double r20731 = sin(r20719);
        double r20732 = r20730 * r20731;
        double r20733 = fma(r20721, r20729, r20732);
        double r20734 = asin(r20733);
        double r20735 = r20716 - r20734;
        double r20736 = R;
        double r20737 = r20735 * r20736;
        return r20737;
}

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 r20738, r20739, r20740, r20741, r20742, r20743, r20744, r20745, r20746, r20747, r20748, r20749, r20750, r20751, r20752, r20753, r20754;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1936);
        mpfr_init(r20738);
        mpfr_init(r20739);
        mpfr_init(r20740);
        mpfr_init(r20741);
        mpfr_init(r20742);
        mpfr_init(r20743);
        mpfr_init(r20744);
        mpfr_init(r20745);
        mpfr_init(r20746);
        mpfr_init(r20747);
        mpfr_init(r20748);
        mpfr_init(r20749);
        mpfr_init(r20750);
        mpfr_init(r20751);
        mpfr_init(r20752);
        mpfr_init(r20753);
        mpfr_init(r20754);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r20738, phi1, MPFR_RNDN);
        mpfr_sin(r20739, r20738, MPFR_RNDN);
        mpfr_set_d(r20740, phi2, MPFR_RNDN);
        mpfr_sin(r20741, r20740, MPFR_RNDN);
        mpfr_mul(r20742, r20739, r20741, MPFR_RNDN);
        mpfr_cos(r20743, r20738, MPFR_RNDN);
        mpfr_cos(r20744, r20740, MPFR_RNDN);
        mpfr_mul(r20745, r20743, r20744, MPFR_RNDN);
        mpfr_set_d(r20746, lambda1, MPFR_RNDN);
        mpfr_set_d(r20747, lambda2, MPFR_RNDN);
        mpfr_sub(r20748, r20746, r20747, MPFR_RNDN);
        mpfr_cos(r20749, r20748, MPFR_RNDN);
        mpfr_mul(r20750, r20745, r20749, MPFR_RNDN);
        mpfr_add(r20751, r20742, r20750, MPFR_RNDN);
        mpfr_acos(r20752, r20751, MPFR_RNDN);
        mpfr_set_d(r20753, R, MPFR_RNDN);
        mpfr_mul(r20754, r20752, r20753, MPFR_RNDN);
        return mpfr_get_d(r20754, MPFR_RNDN);
}

static mpfr_t r20755, r20756, r20757, r20758, r20759, r20760, r20761, r20762, r20763, r20764, r20765, r20766, r20767, r20768, r20769, r20770, r20771, r20772, r20773, r20774, r20775, r20776, r20777, r20778;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1936);
        mpfr_init(r20755);
        mpfr_init_set_str(r20756, "2", 10, MPFR_RNDN);
        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);
        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);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_const_pi(r20755, MPFR_RNDN);
        ;
        mpfr_div(r20757, r20755, r20756, MPFR_RNDN);
        mpfr_set_d(r20758, phi1, MPFR_RNDN);
        mpfr_cos(r20759, r20758, MPFR_RNDN);
        mpfr_set_d(r20760, phi2, MPFR_RNDN);
        mpfr_cos(r20761, r20760, MPFR_RNDN);
        mpfr_mul(r20762, r20759, r20761, MPFR_RNDN);
        mpfr_set_d(r20763, lambda1, MPFR_RNDN);
        mpfr_cos(r20764, r20763, MPFR_RNDN);
        mpfr_set_d(r20765, lambda2, MPFR_RNDN);
        mpfr_cos(r20766, r20765, MPFR_RNDN);
        mpfr_sin(r20767, r20765, MPFR_RNDN);
        mpfr_sin(r20768, r20763, MPFR_RNDN);
        mpfr_mul(r20769, r20767, r20768, MPFR_RNDN);
        mpfr_fma(r20770, r20764, r20766, r20769, MPFR_RNDN);
        mpfr_sin(r20771, r20758, MPFR_RNDN);
        mpfr_sin(r20772, r20760, MPFR_RNDN);
        mpfr_mul(r20773, r20771, r20772, MPFR_RNDN);
        mpfr_fma(r20774, r20762, r20770, r20773, MPFR_RNDN);
        mpfr_asin(r20775, r20774, MPFR_RNDN);
        mpfr_sub(r20776, r20757, r20775, MPFR_RNDN);
        mpfr_set_d(r20777, R, MPFR_RNDN);
        mpfr_mul(r20778, r20776, r20777, MPFR_RNDN);
        return mpfr_get_d(r20778, MPFR_RNDN);
}

static mpfr_t r20779, r20780, r20781, r20782, r20783, r20784, r20785, r20786, r20787, r20788, r20789, r20790, r20791, r20792, r20793, r20794, r20795, r20796, r20797, r20798, r20799, r20800, r20801, r20802;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1936);
        mpfr_init(r20779);
        mpfr_init_set_str(r20780, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r20795);
        mpfr_init(r20796);
        mpfr_init(r20797);
        mpfr_init(r20798);
        mpfr_init(r20799);
        mpfr_init(r20800);
        mpfr_init(r20801);
        mpfr_init(r20802);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_const_pi(r20779, MPFR_RNDN);
        ;
        mpfr_div(r20781, r20779, r20780, MPFR_RNDN);
        mpfr_set_d(r20782, phi1, MPFR_RNDN);
        mpfr_cos(r20783, r20782, MPFR_RNDN);
        mpfr_set_d(r20784, phi2, MPFR_RNDN);
        mpfr_cos(r20785, r20784, MPFR_RNDN);
        mpfr_mul(r20786, r20783, r20785, MPFR_RNDN);
        mpfr_set_d(r20787, lambda1, MPFR_RNDN);
        mpfr_cos(r20788, r20787, MPFR_RNDN);
        mpfr_set_d(r20789, lambda2, MPFR_RNDN);
        mpfr_cos(r20790, r20789, MPFR_RNDN);
        mpfr_sin(r20791, r20789, MPFR_RNDN);
        mpfr_sin(r20792, r20787, MPFR_RNDN);
        mpfr_mul(r20793, r20791, r20792, MPFR_RNDN);
        mpfr_fma(r20794, r20788, r20790, r20793, MPFR_RNDN);
        mpfr_sin(r20795, r20782, MPFR_RNDN);
        mpfr_sin(r20796, r20784, MPFR_RNDN);
        mpfr_mul(r20797, r20795, r20796, MPFR_RNDN);
        mpfr_fma(r20798, r20786, r20794, r20797, MPFR_RNDN);
        mpfr_asin(r20799, r20798, MPFR_RNDN);
        mpfr_sub(r20800, r20781, r20799, MPFR_RNDN);
        mpfr_set_d(r20801, R, MPFR_RNDN);
        mpfr_mul(r20802, r20800, r20801, MPFR_RNDN);
        return mpfr_get_d(r20802, MPFR_RNDN);
}