#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 r20648 = phi1;
        float r20649 = sin(r20648);
        float r20650 = phi2;
        float r20651 = sin(r20650);
        float r20652 = r20649 * r20651;
        float r20653 = cos(r20648);
        float r20654 = cos(r20650);
        float r20655 = r20653 * r20654;
        float r20656 = lambda1;
        float r20657 = lambda2;
        float r20658 = r20656 - r20657;
        float r20659 = cos(r20658);
        float r20660 = r20655 * r20659;
        float r20661 = r20652 + r20660;
        float r20662 = acos(r20661);
        float r20663 = R;
        float r20664 = r20662 * r20663;
        return r20664;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r20665 = phi1;
        double r20666 = sin(r20665);
        double r20667 = phi2;
        double r20668 = sin(r20667);
        double r20669 = r20666 * r20668;
        double r20670 = cos(r20665);
        double r20671 = cos(r20667);
        double r20672 = r20670 * r20671;
        double r20673 = lambda1;
        double r20674 = lambda2;
        double r20675 = r20673 - r20674;
        double r20676 = cos(r20675);
        double r20677 = r20672 * r20676;
        double r20678 = r20669 + r20677;
        double r20679 = acos(r20678);
        double r20680 = R;
        double r20681 = r20679 * r20680;
        return r20681;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r20682 = phi1;
        float r20683 = sin(r20682);
        float r20684 = 3;
        float r20685 = pow(r20683, r20684);
        float r20686 = phi2;
        float r20687 = sin(r20686);
        float r20688 = pow(r20687, r20684);
        float r20689 = r20685 * r20688;
        float r20690 = cbrt(r20689);
        float r20691 = cos(r20682);
        float r20692 = cos(r20686);
        float r20693 = r20691 * r20692;
        float r20694 = lambda1;
        float r20695 = cos(r20694);
        float r20696 = lambda2;
        float r20697 = cos(r20696);
        float r20698 = r20695 * r20697;
        float r20699 = r20693 * r20698;
        float r20700 = sin(r20694);
        float r20701 = sin(r20696);
        float r20702 = r20700 * r20701;
        float r20703 = r20693 * r20702;
        float r20704 = r20699 + r20703;
        float r20705 = r20690 + r20704;
        float r20706 = acos(r20705);
        float r20707 = R;
        float r20708 = r20706 * r20707;
        return r20708;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r20709 = phi1;
        double r20710 = sin(r20709);
        double r20711 = 3;
        double r20712 = pow(r20710, r20711);
        double r20713 = phi2;
        double r20714 = sin(r20713);
        double r20715 = pow(r20714, r20711);
        double r20716 = r20712 * r20715;
        double r20717 = cbrt(r20716);
        double r20718 = cos(r20709);
        double r20719 = cos(r20713);
        double r20720 = r20718 * r20719;
        double r20721 = lambda1;
        double r20722 = cos(r20721);
        double r20723 = lambda2;
        double r20724 = cos(r20723);
        double r20725 = r20722 * r20724;
        double r20726 = r20720 * r20725;
        double r20727 = sin(r20721);
        double r20728 = sin(r20723);
        double r20729 = r20727 * r20728;
        double r20730 = r20720 * r20729;
        double r20731 = r20726 + r20730;
        double r20732 = r20717 + r20731;
        double r20733 = acos(r20732);
        double r20734 = R;
        double r20735 = r20733 * r20734;
        return r20735;
}

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 r20736, r20737, r20738, r20739, r20740, r20741, r20742, r20743, r20744, r20745, r20746, r20747, r20748, r20749, r20750, r20751, r20752;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1936);
        mpfr_init(r20736);
        mpfr_init(r20737);
        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);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r20736, phi1, MPFR_RNDN);
        mpfr_sin(r20737, r20736, MPFR_RNDN);
        mpfr_set_d(r20738, phi2, MPFR_RNDN);
        mpfr_sin(r20739, r20738, MPFR_RNDN);
        mpfr_mul(r20740, r20737, r20739, MPFR_RNDN);
        mpfr_cos(r20741, r20736, MPFR_RNDN);
        mpfr_cos(r20742, r20738, MPFR_RNDN);
        mpfr_mul(r20743, r20741, r20742, MPFR_RNDN);
        mpfr_set_d(r20744, lambda1, MPFR_RNDN);
        mpfr_set_d(r20745, lambda2, MPFR_RNDN);
        mpfr_sub(r20746, r20744, r20745, MPFR_RNDN);
        mpfr_cos(r20747, r20746, MPFR_RNDN);
        mpfr_mul(r20748, r20743, r20747, MPFR_RNDN);
        mpfr_add(r20749, r20740, r20748, MPFR_RNDN);
        mpfr_acos(r20750, r20749, MPFR_RNDN);
        mpfr_set_d(r20751, R, MPFR_RNDN);
        mpfr_mul(r20752, r20750, r20751, MPFR_RNDN);
        return mpfr_get_d(r20752, MPFR_RNDN);
}

static mpfr_t r20753, r20754, r20755, r20756, r20757, r20758, r20759, r20760, r20761, r20762, r20763, r20764, r20765, r20766, r20767, r20768, r20769, r20770, r20771, r20772, r20773, r20774, r20775, r20776, r20777, r20778, r20779;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1936);
        mpfr_init(r20753);
        mpfr_init(r20754);
        mpfr_init_set_str(r20755, "3", 10, MPFR_RNDN);
        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);
        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);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r20753, phi1, MPFR_RNDN);
        mpfr_sin(r20754, r20753, MPFR_RNDN);
        ;
        mpfr_pow(r20756, r20754, r20755, MPFR_RNDN);
        mpfr_set_d(r20757, phi2, MPFR_RNDN);
        mpfr_sin(r20758, r20757, MPFR_RNDN);
        mpfr_pow(r20759, r20758, r20755, MPFR_RNDN);
        mpfr_mul(r20760, r20756, r20759, MPFR_RNDN);
        mpfr_cbrt(r20761, r20760, MPFR_RNDN);
        mpfr_cos(r20762, r20753, MPFR_RNDN);
        mpfr_cos(r20763, r20757, MPFR_RNDN);
        mpfr_mul(r20764, r20762, r20763, MPFR_RNDN);
        mpfr_set_d(r20765, lambda1, MPFR_RNDN);
        mpfr_cos(r20766, r20765, MPFR_RNDN);
        mpfr_set_d(r20767, lambda2, MPFR_RNDN);
        mpfr_cos(r20768, r20767, MPFR_RNDN);
        mpfr_mul(r20769, r20766, r20768, MPFR_RNDN);
        mpfr_mul(r20770, r20764, r20769, MPFR_RNDN);
        mpfr_sin(r20771, r20765, MPFR_RNDN);
        mpfr_sin(r20772, r20767, MPFR_RNDN);
        mpfr_mul(r20773, r20771, r20772, MPFR_RNDN);
        mpfr_mul(r20774, r20764, r20773, MPFR_RNDN);
        mpfr_add(r20775, r20770, r20774, MPFR_RNDN);
        mpfr_add(r20776, r20761, r20775, MPFR_RNDN);
        mpfr_acos(r20777, r20776, MPFR_RNDN);
        mpfr_set_d(r20778, R, MPFR_RNDN);
        mpfr_mul(r20779, r20777, r20778, MPFR_RNDN);
        return mpfr_get_d(r20779, MPFR_RNDN);
}

static mpfr_t r20780, r20781, r20782, r20783, r20784, r20785, r20786, r20787, r20788, r20789, r20790, r20791, r20792, r20793, r20794, r20795, r20796, r20797, r20798, r20799, r20800, r20801, r20802, r20803, r20804, r20805, r20806;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1936);
        mpfr_init(r20780);
        mpfr_init(r20781);
        mpfr_init_set_str(r20782, "3", 10, MPFR_RNDN);
        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);
        mpfr_init(r20803);
        mpfr_init(r20804);
        mpfr_init(r20805);
        mpfr_init(r20806);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r20780, phi1, MPFR_RNDN);
        mpfr_sin(r20781, r20780, MPFR_RNDN);
        ;
        mpfr_pow(r20783, r20781, r20782, MPFR_RNDN);
        mpfr_set_d(r20784, phi2, MPFR_RNDN);
        mpfr_sin(r20785, r20784, MPFR_RNDN);
        mpfr_pow(r20786, r20785, r20782, MPFR_RNDN);
        mpfr_mul(r20787, r20783, r20786, MPFR_RNDN);
        mpfr_cbrt(r20788, r20787, MPFR_RNDN);
        mpfr_cos(r20789, r20780, MPFR_RNDN);
        mpfr_cos(r20790, r20784, MPFR_RNDN);
        mpfr_mul(r20791, r20789, r20790, MPFR_RNDN);
        mpfr_set_d(r20792, lambda1, MPFR_RNDN);
        mpfr_cos(r20793, r20792, MPFR_RNDN);
        mpfr_set_d(r20794, lambda2, MPFR_RNDN);
        mpfr_cos(r20795, r20794, MPFR_RNDN);
        mpfr_mul(r20796, r20793, r20795, MPFR_RNDN);
        mpfr_mul(r20797, r20791, r20796, MPFR_RNDN);
        mpfr_sin(r20798, r20792, MPFR_RNDN);
        mpfr_sin(r20799, r20794, MPFR_RNDN);
        mpfr_mul(r20800, r20798, r20799, MPFR_RNDN);
        mpfr_mul(r20801, r20791, r20800, MPFR_RNDN);
        mpfr_add(r20802, r20797, r20801, MPFR_RNDN);
        mpfr_add(r20803, r20788, r20802, MPFR_RNDN);
        mpfr_acos(r20804, r20803, MPFR_RNDN);
        mpfr_set_d(r20805, R, MPFR_RNDN);
        mpfr_mul(r20806, r20804, r20805, MPFR_RNDN);
        return mpfr_get_d(r20806, MPFR_RNDN);
}