#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 r21595 = phi1;
        float r21596 = sin(r21595);
        float r21597 = phi2;
        float r21598 = sin(r21597);
        float r21599 = r21596 * r21598;
        float r21600 = cos(r21595);
        float r21601 = cos(r21597);
        float r21602 = r21600 * r21601;
        float r21603 = lambda1;
        float r21604 = lambda2;
        float r21605 = r21603 - r21604;
        float r21606 = cos(r21605);
        float r21607 = r21602 * r21606;
        float r21608 = r21599 + r21607;
        float r21609 = acos(r21608);
        float r21610 = R;
        float r21611 = r21609 * r21610;
        return r21611;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r21612 = phi1;
        double r21613 = sin(r21612);
        double r21614 = phi2;
        double r21615 = sin(r21614);
        double r21616 = r21613 * r21615;
        double r21617 = cos(r21612);
        double r21618 = cos(r21614);
        double r21619 = r21617 * r21618;
        double r21620 = lambda1;
        double r21621 = lambda2;
        double r21622 = r21620 - r21621;
        double r21623 = cos(r21622);
        double r21624 = r21619 * r21623;
        double r21625 = r21616 + r21624;
        double r21626 = acos(r21625);
        double r21627 = R;
        double r21628 = r21626 * r21627;
        return r21628;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r21629 = atan2(1.0, 0.0);
        float r21630 = 2;
        float r21631 = r21629 / r21630;
        float r21632 = phi2;
        float r21633 = sin(r21632);
        float r21634 = phi1;
        float r21635 = sin(r21634);
        float r21636 = r21633 * r21635;
        float r21637 = lambda2;
        float r21638 = cos(r21637);
        float r21639 = lambda1;
        float r21640 = cos(r21639);
        float r21641 = r21638 * r21640;
        float r21642 = sin(r21637);
        float r21643 = sin(r21639);
        float r21644 = r21642 * r21643;
        float r21645 = r21641 + r21644;
        float r21646 = cos(r21632);
        float r21647 = cos(r21634);
        float r21648 = r21646 * r21647;
        float r21649 = r21645 * r21648;
        float r21650 = r21636 + r21649;
        float r21651 = asin(r21650);
        float r21652 = r21631 - r21651;
        float r21653 = log(r21652);
        float r21654 = exp(r21653);
        float r21655 = R;
        float r21656 = r21654 * r21655;
        return r21656;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r21657 = atan2(1.0, 0.0);
        double r21658 = 2;
        double r21659 = r21657 / r21658;
        double r21660 = phi2;
        double r21661 = sin(r21660);
        double r21662 = phi1;
        double r21663 = sin(r21662);
        double r21664 = r21661 * r21663;
        double r21665 = lambda2;
        double r21666 = cos(r21665);
        double r21667 = lambda1;
        double r21668 = cos(r21667);
        double r21669 = r21666 * r21668;
        double r21670 = sin(r21665);
        double r21671 = sin(r21667);
        double r21672 = r21670 * r21671;
        double r21673 = r21669 + r21672;
        double r21674 = cos(r21660);
        double r21675 = cos(r21662);
        double r21676 = r21674 * r21675;
        double r21677 = r21673 * r21676;
        double r21678 = r21664 + r21677;
        double r21679 = asin(r21678);
        double r21680 = r21659 - r21679;
        double r21681 = log(r21680);
        double r21682 = exp(r21681);
        double r21683 = R;
        double r21684 = r21682 * r21683;
        return r21684;
}

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 r21685, r21686, r21687, r21688, r21689, r21690, r21691, r21692, r21693, r21694, r21695, r21696, r21697, r21698, r21699, r21700, r21701;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2128);
        mpfr_init(r21685);
        mpfr_init(r21686);
        mpfr_init(r21687);
        mpfr_init(r21688);
        mpfr_init(r21689);
        mpfr_init(r21690);
        mpfr_init(r21691);
        mpfr_init(r21692);
        mpfr_init(r21693);
        mpfr_init(r21694);
        mpfr_init(r21695);
        mpfr_init(r21696);
        mpfr_init(r21697);
        mpfr_init(r21698);
        mpfr_init(r21699);
        mpfr_init(r21700);
        mpfr_init(r21701);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21685, phi1, MPFR_RNDN);
        mpfr_sin(r21686, r21685, MPFR_RNDN);
        mpfr_set_d(r21687, phi2, MPFR_RNDN);
        mpfr_sin(r21688, r21687, MPFR_RNDN);
        mpfr_mul(r21689, r21686, r21688, MPFR_RNDN);
        mpfr_cos(r21690, r21685, MPFR_RNDN);
        mpfr_cos(r21691, r21687, MPFR_RNDN);
        mpfr_mul(r21692, r21690, r21691, MPFR_RNDN);
        mpfr_set_d(r21693, lambda1, MPFR_RNDN);
        mpfr_set_d(r21694, lambda2, MPFR_RNDN);
        mpfr_sub(r21695, r21693, r21694, MPFR_RNDN);
        mpfr_cos(r21696, r21695, MPFR_RNDN);
        mpfr_mul(r21697, r21692, r21696, MPFR_RNDN);
        mpfr_add(r21698, r21689, r21697, MPFR_RNDN);
        mpfr_acos(r21699, r21698, MPFR_RNDN);
        mpfr_set_d(r21700, R, MPFR_RNDN);
        mpfr_mul(r21701, r21699, r21700, MPFR_RNDN);
        return mpfr_get_d(r21701, MPFR_RNDN);
}

static mpfr_t r21702, r21703, r21704, r21705, r21706, r21707, r21708, r21709, r21710, r21711, r21712, r21713, r21714, r21715, r21716, r21717, r21718, r21719, r21720, r21721, r21722, r21723, r21724, r21725, r21726, r21727, r21728, r21729;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2128);
        mpfr_init(r21702);
        mpfr_init_set_str(r21703, "2", 10, MPFR_RNDN);
        mpfr_init(r21704);
        mpfr_init(r21705);
        mpfr_init(r21706);
        mpfr_init(r21707);
        mpfr_init(r21708);
        mpfr_init(r21709);
        mpfr_init(r21710);
        mpfr_init(r21711);
        mpfr_init(r21712);
        mpfr_init(r21713);
        mpfr_init(r21714);
        mpfr_init(r21715);
        mpfr_init(r21716);
        mpfr_init(r21717);
        mpfr_init(r21718);
        mpfr_init(r21719);
        mpfr_init(r21720);
        mpfr_init(r21721);
        mpfr_init(r21722);
        mpfr_init(r21723);
        mpfr_init(r21724);
        mpfr_init(r21725);
        mpfr_init(r21726);
        mpfr_init(r21727);
        mpfr_init(r21728);
        mpfr_init(r21729);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_const_pi(r21702, MPFR_RNDN);
        ;
        mpfr_div(r21704, r21702, r21703, MPFR_RNDN);
        mpfr_set_d(r21705, phi2, MPFR_RNDN);
        mpfr_sin(r21706, r21705, MPFR_RNDN);
        mpfr_set_d(r21707, phi1, MPFR_RNDN);
        mpfr_sin(r21708, r21707, MPFR_RNDN);
        mpfr_mul(r21709, r21706, r21708, MPFR_RNDN);
        mpfr_set_d(r21710, lambda2, MPFR_RNDN);
        mpfr_cos(r21711, r21710, MPFR_RNDN);
        mpfr_set_d(r21712, lambda1, MPFR_RNDN);
        mpfr_cos(r21713, r21712, MPFR_RNDN);
        mpfr_mul(r21714, r21711, r21713, MPFR_RNDN);
        mpfr_sin(r21715, r21710, MPFR_RNDN);
        mpfr_sin(r21716, r21712, MPFR_RNDN);
        mpfr_mul(r21717, r21715, r21716, MPFR_RNDN);
        mpfr_add(r21718, r21714, r21717, MPFR_RNDN);
        mpfr_cos(r21719, r21705, MPFR_RNDN);
        mpfr_cos(r21720, r21707, MPFR_RNDN);
        mpfr_mul(r21721, r21719, r21720, MPFR_RNDN);
        mpfr_mul(r21722, r21718, r21721, MPFR_RNDN);
        mpfr_add(r21723, r21709, r21722, MPFR_RNDN);
        mpfr_asin(r21724, r21723, MPFR_RNDN);
        mpfr_sub(r21725, r21704, r21724, MPFR_RNDN);
        mpfr_log(r21726, r21725, MPFR_RNDN);
        mpfr_exp(r21727, r21726, MPFR_RNDN);
        mpfr_set_d(r21728, R, MPFR_RNDN);
        mpfr_mul(r21729, r21727, r21728, MPFR_RNDN);
        return mpfr_get_d(r21729, MPFR_RNDN);
}

static mpfr_t r21730, r21731, r21732, r21733, r21734, r21735, r21736, r21737, r21738, r21739, r21740, r21741, r21742, r21743, r21744, r21745, r21746, r21747, r21748, r21749, r21750, r21751, r21752, r21753, r21754, r21755, r21756, r21757;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2128);
        mpfr_init(r21730);
        mpfr_init_set_str(r21731, "2", 10, MPFR_RNDN);
        mpfr_init(r21732);
        mpfr_init(r21733);
        mpfr_init(r21734);
        mpfr_init(r21735);
        mpfr_init(r21736);
        mpfr_init(r21737);
        mpfr_init(r21738);
        mpfr_init(r21739);
        mpfr_init(r21740);
        mpfr_init(r21741);
        mpfr_init(r21742);
        mpfr_init(r21743);
        mpfr_init(r21744);
        mpfr_init(r21745);
        mpfr_init(r21746);
        mpfr_init(r21747);
        mpfr_init(r21748);
        mpfr_init(r21749);
        mpfr_init(r21750);
        mpfr_init(r21751);
        mpfr_init(r21752);
        mpfr_init(r21753);
        mpfr_init(r21754);
        mpfr_init(r21755);
        mpfr_init(r21756);
        mpfr_init(r21757);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_const_pi(r21730, MPFR_RNDN);
        ;
        mpfr_div(r21732, r21730, r21731, MPFR_RNDN);
        mpfr_set_d(r21733, phi2, MPFR_RNDN);
        mpfr_sin(r21734, r21733, MPFR_RNDN);
        mpfr_set_d(r21735, phi1, MPFR_RNDN);
        mpfr_sin(r21736, r21735, MPFR_RNDN);
        mpfr_mul(r21737, r21734, r21736, MPFR_RNDN);
        mpfr_set_d(r21738, lambda2, MPFR_RNDN);
        mpfr_cos(r21739, r21738, MPFR_RNDN);
        mpfr_set_d(r21740, lambda1, MPFR_RNDN);
        mpfr_cos(r21741, r21740, MPFR_RNDN);
        mpfr_mul(r21742, r21739, r21741, MPFR_RNDN);
        mpfr_sin(r21743, r21738, MPFR_RNDN);
        mpfr_sin(r21744, r21740, MPFR_RNDN);
        mpfr_mul(r21745, r21743, r21744, MPFR_RNDN);
        mpfr_add(r21746, r21742, r21745, MPFR_RNDN);
        mpfr_cos(r21747, r21733, MPFR_RNDN);
        mpfr_cos(r21748, r21735, MPFR_RNDN);
        mpfr_mul(r21749, r21747, r21748, MPFR_RNDN);
        mpfr_mul(r21750, r21746, r21749, MPFR_RNDN);
        mpfr_add(r21751, r21737, r21750, MPFR_RNDN);
        mpfr_asin(r21752, r21751, MPFR_RNDN);
        mpfr_sub(r21753, r21732, r21752, MPFR_RNDN);
        mpfr_log(r21754, r21753, MPFR_RNDN);
        mpfr_exp(r21755, r21754, MPFR_RNDN);
        mpfr_set_d(r21756, R, MPFR_RNDN);
        mpfr_mul(r21757, r21755, r21756, MPFR_RNDN);
        return mpfr_get_d(r21757, MPFR_RNDN);
}