#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 r21536 = phi1;
        float r21537 = sin(r21536);
        float r21538 = phi2;
        float r21539 = sin(r21538);
        float r21540 = r21537 * r21539;
        float r21541 = cos(r21536);
        float r21542 = cos(r21538);
        float r21543 = r21541 * r21542;
        float r21544 = lambda1;
        float r21545 = lambda2;
        float r21546 = r21544 - r21545;
        float r21547 = cos(r21546);
        float r21548 = r21543 * r21547;
        float r21549 = r21540 + r21548;
        float r21550 = acos(r21549);
        float r21551 = R;
        float r21552 = r21550 * r21551;
        return r21552;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r21553 = phi1;
        double r21554 = sin(r21553);
        double r21555 = phi2;
        double r21556 = sin(r21555);
        double r21557 = r21554 * r21556;
        double r21558 = cos(r21553);
        double r21559 = cos(r21555);
        double r21560 = r21558 * r21559;
        double r21561 = lambda1;
        double r21562 = lambda2;
        double r21563 = r21561 - r21562;
        double r21564 = cos(r21563);
        double r21565 = r21560 * r21564;
        double r21566 = r21557 + r21565;
        double r21567 = acos(r21566);
        double r21568 = R;
        double r21569 = r21567 * r21568;
        return r21569;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r21570 = phi1;
        float r21571 = sin(r21570);
        float r21572 = phi2;
        float r21573 = sin(r21572);
        float r21574 = r21571 * r21573;
        float r21575 = cos(r21570);
        float r21576 = cos(r21572);
        float r21577 = r21575 * r21576;
        float r21578 = lambda1;
        float r21579 = cos(r21578);
        float r21580 = lambda2;
        float r21581 = cos(r21580);
        float r21582 = r21579 * r21581;
        float r21583 = sin(r21578);
        float r21584 = -r21580;
        float r21585 = sin(r21584);
        float r21586 = r21583 * r21585;
        float r21587 = exp(r21586);
        float r21588 = log(r21587);
        float r21589 = r21582 - r21588;
        float r21590 = r21577 * r21589;
        float r21591 = r21574 + r21590;
        float r21592 = acos(r21591);
        float r21593 = R;
        float r21594 = r21592 * r21593;
        return r21594;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r21595 = phi1;
        double r21596 = sin(r21595);
        double r21597 = phi2;
        double r21598 = sin(r21597);
        double r21599 = r21596 * r21598;
        double r21600 = cos(r21595);
        double r21601 = cos(r21597);
        double r21602 = r21600 * r21601;
        double r21603 = lambda1;
        double r21604 = cos(r21603);
        double r21605 = lambda2;
        double r21606 = cos(r21605);
        double r21607 = r21604 * r21606;
        double r21608 = sin(r21603);
        double r21609 = -r21605;
        double r21610 = sin(r21609);
        double r21611 = r21608 * r21610;
        double r21612 = exp(r21611);
        double r21613 = log(r21612);
        double r21614 = r21607 - r21613;
        double r21615 = r21602 * r21614;
        double r21616 = r21599 + r21615;
        double r21617 = acos(r21616);
        double r21618 = R;
        double r21619 = r21617 * r21618;
        return r21619;
}

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 r21620, r21621, r21622, r21623, r21624, r21625, r21626, r21627, r21628, r21629, r21630, r21631, r21632, r21633, r21634, r21635, r21636;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1936);
        mpfr_init(r21620);
        mpfr_init(r21621);
        mpfr_init(r21622);
        mpfr_init(r21623);
        mpfr_init(r21624);
        mpfr_init(r21625);
        mpfr_init(r21626);
        mpfr_init(r21627);
        mpfr_init(r21628);
        mpfr_init(r21629);
        mpfr_init(r21630);
        mpfr_init(r21631);
        mpfr_init(r21632);
        mpfr_init(r21633);
        mpfr_init(r21634);
        mpfr_init(r21635);
        mpfr_init(r21636);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21620, phi1, MPFR_RNDN);
        mpfr_sin(r21621, r21620, MPFR_RNDN);
        mpfr_set_d(r21622, phi2, MPFR_RNDN);
        mpfr_sin(r21623, r21622, MPFR_RNDN);
        mpfr_mul(r21624, r21621, r21623, MPFR_RNDN);
        mpfr_cos(r21625, r21620, MPFR_RNDN);
        mpfr_cos(r21626, r21622, MPFR_RNDN);
        mpfr_mul(r21627, r21625, r21626, MPFR_RNDN);
        mpfr_set_d(r21628, lambda1, MPFR_RNDN);
        mpfr_set_d(r21629, lambda2, MPFR_RNDN);
        mpfr_sub(r21630, r21628, r21629, MPFR_RNDN);
        mpfr_cos(r21631, r21630, MPFR_RNDN);
        mpfr_mul(r21632, r21627, r21631, MPFR_RNDN);
        mpfr_add(r21633, r21624, r21632, MPFR_RNDN);
        mpfr_acos(r21634, r21633, MPFR_RNDN);
        mpfr_set_d(r21635, R, MPFR_RNDN);
        mpfr_mul(r21636, r21634, r21635, MPFR_RNDN);
        return mpfr_get_d(r21636, MPFR_RNDN);
}

static mpfr_t r21637, r21638, r21639, r21640, r21641, r21642, r21643, r21644, r21645, r21646, r21647, r21648, r21649, r21650, r21651, r21652, r21653, r21654, r21655, r21656, r21657, r21658, r21659, r21660, r21661;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1936);
        mpfr_init(r21637);
        mpfr_init(r21638);
        mpfr_init(r21639);
        mpfr_init(r21640);
        mpfr_init(r21641);
        mpfr_init(r21642);
        mpfr_init(r21643);
        mpfr_init(r21644);
        mpfr_init(r21645);
        mpfr_init(r21646);
        mpfr_init(r21647);
        mpfr_init(r21648);
        mpfr_init(r21649);
        mpfr_init(r21650);
        mpfr_init(r21651);
        mpfr_init(r21652);
        mpfr_init(r21653);
        mpfr_init(r21654);
        mpfr_init(r21655);
        mpfr_init(r21656);
        mpfr_init(r21657);
        mpfr_init(r21658);
        mpfr_init(r21659);
        mpfr_init(r21660);
        mpfr_init(r21661);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21637, phi1, MPFR_RNDN);
        mpfr_sin(r21638, r21637, MPFR_RNDN);
        mpfr_set_d(r21639, phi2, MPFR_RNDN);
        mpfr_sin(r21640, r21639, MPFR_RNDN);
        mpfr_mul(r21641, r21638, r21640, MPFR_RNDN);
        mpfr_cos(r21642, r21637, MPFR_RNDN);
        mpfr_cos(r21643, r21639, MPFR_RNDN);
        mpfr_mul(r21644, r21642, r21643, MPFR_RNDN);
        mpfr_set_d(r21645, lambda1, MPFR_RNDN);
        mpfr_cos(r21646, r21645, MPFR_RNDN);
        mpfr_set_d(r21647, lambda2, MPFR_RNDN);
        mpfr_cos(r21648, r21647, MPFR_RNDN);
        mpfr_mul(r21649, r21646, r21648, MPFR_RNDN);
        mpfr_sin(r21650, r21645, MPFR_RNDN);
        mpfr_neg(r21651, r21647, MPFR_RNDN);
        mpfr_sin(r21652, r21651, MPFR_RNDN);
        mpfr_mul(r21653, r21650, r21652, MPFR_RNDN);
        mpfr_exp(r21654, r21653, MPFR_RNDN);
        mpfr_log(r21655, r21654, MPFR_RNDN);
        mpfr_sub(r21656, r21649, r21655, MPFR_RNDN);
        mpfr_mul(r21657, r21644, r21656, MPFR_RNDN);
        mpfr_add(r21658, r21641, r21657, MPFR_RNDN);
        mpfr_acos(r21659, r21658, MPFR_RNDN);
        mpfr_set_d(r21660, R, MPFR_RNDN);
        mpfr_mul(r21661, r21659, r21660, MPFR_RNDN);
        return mpfr_get_d(r21661, MPFR_RNDN);
}

static mpfr_t r21662, r21663, r21664, r21665, r21666, r21667, r21668, r21669, r21670, r21671, r21672, r21673, r21674, r21675, r21676, r21677, r21678, r21679, r21680, r21681, r21682, r21683, r21684, r21685, r21686;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1936);
        mpfr_init(r21662);
        mpfr_init(r21663);
        mpfr_init(r21664);
        mpfr_init(r21665);
        mpfr_init(r21666);
        mpfr_init(r21667);
        mpfr_init(r21668);
        mpfr_init(r21669);
        mpfr_init(r21670);
        mpfr_init(r21671);
        mpfr_init(r21672);
        mpfr_init(r21673);
        mpfr_init(r21674);
        mpfr_init(r21675);
        mpfr_init(r21676);
        mpfr_init(r21677);
        mpfr_init(r21678);
        mpfr_init(r21679);
        mpfr_init(r21680);
        mpfr_init(r21681);
        mpfr_init(r21682);
        mpfr_init(r21683);
        mpfr_init(r21684);
        mpfr_init(r21685);
        mpfr_init(r21686);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21662, phi1, MPFR_RNDN);
        mpfr_sin(r21663, r21662, MPFR_RNDN);
        mpfr_set_d(r21664, phi2, MPFR_RNDN);
        mpfr_sin(r21665, r21664, MPFR_RNDN);
        mpfr_mul(r21666, r21663, r21665, MPFR_RNDN);
        mpfr_cos(r21667, r21662, MPFR_RNDN);
        mpfr_cos(r21668, r21664, MPFR_RNDN);
        mpfr_mul(r21669, r21667, r21668, MPFR_RNDN);
        mpfr_set_d(r21670, lambda1, MPFR_RNDN);
        mpfr_cos(r21671, r21670, MPFR_RNDN);
        mpfr_set_d(r21672, lambda2, MPFR_RNDN);
        mpfr_cos(r21673, r21672, MPFR_RNDN);
        mpfr_mul(r21674, r21671, r21673, MPFR_RNDN);
        mpfr_sin(r21675, r21670, MPFR_RNDN);
        mpfr_neg(r21676, r21672, MPFR_RNDN);
        mpfr_sin(r21677, r21676, MPFR_RNDN);
        mpfr_mul(r21678, r21675, r21677, MPFR_RNDN);
        mpfr_exp(r21679, r21678, MPFR_RNDN);
        mpfr_log(r21680, r21679, MPFR_RNDN);
        mpfr_sub(r21681, r21674, r21680, MPFR_RNDN);
        mpfr_mul(r21682, r21669, r21681, MPFR_RNDN);
        mpfr_add(r21683, r21666, r21682, MPFR_RNDN);
        mpfr_acos(r21684, r21683, MPFR_RNDN);
        mpfr_set_d(r21685, R, MPFR_RNDN);
        mpfr_mul(r21686, r21684, r21685, MPFR_RNDN);
        return mpfr_get_d(r21686, MPFR_RNDN);
}