#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 r21540 = phi1;
        float r21541 = sin(r21540);
        float r21542 = phi2;
        float r21543 = sin(r21542);
        float r21544 = r21541 * r21543;
        float r21545 = cos(r21540);
        float r21546 = cos(r21542);
        float r21547 = r21545 * r21546;
        float r21548 = lambda1;
        float r21549 = lambda2;
        float r21550 = r21548 - r21549;
        float r21551 = cos(r21550);
        float r21552 = r21547 * r21551;
        float r21553 = r21544 + r21552;
        float r21554 = acos(r21553);
        float r21555 = R;
        float r21556 = r21554 * r21555;
        return r21556;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r21557 = phi1;
        double r21558 = sin(r21557);
        double r21559 = phi2;
        double r21560 = sin(r21559);
        double r21561 = r21558 * r21560;
        double r21562 = cos(r21557);
        double r21563 = cos(r21559);
        double r21564 = r21562 * r21563;
        double r21565 = lambda1;
        double r21566 = lambda2;
        double r21567 = r21565 - r21566;
        double r21568 = cos(r21567);
        double r21569 = r21564 * r21568;
        double r21570 = r21561 + r21569;
        double r21571 = acos(r21570);
        double r21572 = R;
        double r21573 = r21571 * r21572;
        return r21573;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r21574 = atan2(1.0, 0.0);
        float r21575 = 2;
        float r21576 = r21574 / r21575;
        float r21577 = phi2;
        float r21578 = sin(r21577);
        float r21579 = phi1;
        float r21580 = sin(r21579);
        float r21581 = r21578 * r21580;
        float r21582 = lambda2;
        float r21583 = cos(r21582);
        float r21584 = lambda1;
        float r21585 = cos(r21584);
        float r21586 = r21583 * r21585;
        float r21587 = sin(r21582);
        float r21588 = sin(r21584);
        float r21589 = r21587 * r21588;
        float r21590 = r21586 + r21589;
        float r21591 = cos(r21577);
        float r21592 = cos(r21579);
        float r21593 = r21591 * r21592;
        float r21594 = r21590 * r21593;
        float r21595 = r21581 + r21594;
        float r21596 = asin(r21595);
        float r21597 = r21576 - r21596;
        float r21598 = R;
        float r21599 = r21597 * r21598;
        return r21599;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r21600 = atan2(1.0, 0.0);
        double r21601 = 2;
        double r21602 = r21600 / r21601;
        double r21603 = phi2;
        double r21604 = sin(r21603);
        double r21605 = phi1;
        double r21606 = sin(r21605);
        double r21607 = r21604 * r21606;
        double r21608 = lambda2;
        double r21609 = cos(r21608);
        double r21610 = lambda1;
        double r21611 = cos(r21610);
        double r21612 = r21609 * r21611;
        double r21613 = sin(r21608);
        double r21614 = sin(r21610);
        double r21615 = r21613 * r21614;
        double r21616 = r21612 + r21615;
        double r21617 = cos(r21603);
        double r21618 = cos(r21605);
        double r21619 = r21617 * r21618;
        double r21620 = r21616 * r21619;
        double r21621 = r21607 + r21620;
        double r21622 = asin(r21621);
        double r21623 = r21602 - r21622;
        double r21624 = R;
        double r21625 = r21623 * r21624;
        return r21625;
}

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 r21626, r21627, r21628, r21629, r21630, r21631, r21632, r21633, r21634, r21635, r21636, r21637, r21638, r21639, r21640, r21641, r21642;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2192);
        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);
        mpfr_init(r21637);
        mpfr_init(r21638);
        mpfr_init(r21639);
        mpfr_init(r21640);
        mpfr_init(r21641);
        mpfr_init(r21642);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21626, phi1, MPFR_RNDN);
        mpfr_sin(r21627, r21626, MPFR_RNDN);
        mpfr_set_d(r21628, phi2, MPFR_RNDN);
        mpfr_sin(r21629, r21628, MPFR_RNDN);
        mpfr_mul(r21630, r21627, r21629, MPFR_RNDN);
        mpfr_cos(r21631, r21626, MPFR_RNDN);
        mpfr_cos(r21632, r21628, MPFR_RNDN);
        mpfr_mul(r21633, r21631, r21632, MPFR_RNDN);
        mpfr_set_d(r21634, lambda1, MPFR_RNDN);
        mpfr_set_d(r21635, lambda2, MPFR_RNDN);
        mpfr_sub(r21636, r21634, r21635, MPFR_RNDN);
        mpfr_cos(r21637, r21636, MPFR_RNDN);
        mpfr_mul(r21638, r21633, r21637, MPFR_RNDN);
        mpfr_add(r21639, r21630, r21638, MPFR_RNDN);
        mpfr_acos(r21640, r21639, MPFR_RNDN);
        mpfr_set_d(r21641, R, MPFR_RNDN);
        mpfr_mul(r21642, r21640, r21641, MPFR_RNDN);
        return mpfr_get_d(r21642, MPFR_RNDN);
}

static mpfr_t r21643, r21644, r21645, r21646, r21647, r21648, r21649, r21650, r21651, r21652, r21653, r21654, r21655, r21656, r21657, r21658, r21659, r21660, r21661, r21662, r21663, r21664, r21665, r21666, r21667, r21668;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2192);
        mpfr_init(r21643);
        mpfr_init_set_str(r21644, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r21662);
        mpfr_init(r21663);
        mpfr_init(r21664);
        mpfr_init(r21665);
        mpfr_init(r21666);
        mpfr_init(r21667);
        mpfr_init(r21668);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_const_pi(r21643, MPFR_RNDN);
        ;
        mpfr_div(r21645, r21643, r21644, MPFR_RNDN);
        mpfr_set_d(r21646, phi2, MPFR_RNDN);
        mpfr_sin(r21647, r21646, MPFR_RNDN);
        mpfr_set_d(r21648, phi1, MPFR_RNDN);
        mpfr_sin(r21649, r21648, MPFR_RNDN);
        mpfr_mul(r21650, r21647, r21649, MPFR_RNDN);
        mpfr_set_d(r21651, lambda2, MPFR_RNDN);
        mpfr_cos(r21652, r21651, MPFR_RNDN);
        mpfr_set_d(r21653, lambda1, MPFR_RNDN);
        mpfr_cos(r21654, r21653, MPFR_RNDN);
        mpfr_mul(r21655, r21652, r21654, MPFR_RNDN);
        mpfr_sin(r21656, r21651, MPFR_RNDN);
        mpfr_sin(r21657, r21653, MPFR_RNDN);
        mpfr_mul(r21658, r21656, r21657, MPFR_RNDN);
        mpfr_add(r21659, r21655, r21658, MPFR_RNDN);
        mpfr_cos(r21660, r21646, MPFR_RNDN);
        mpfr_cos(r21661, r21648, MPFR_RNDN);
        mpfr_mul(r21662, r21660, r21661, MPFR_RNDN);
        mpfr_mul(r21663, r21659, r21662, MPFR_RNDN);
        mpfr_add(r21664, r21650, r21663, MPFR_RNDN);
        mpfr_asin(r21665, r21664, MPFR_RNDN);
        mpfr_sub(r21666, r21645, r21665, MPFR_RNDN);
        mpfr_set_d(r21667, R, MPFR_RNDN);
        mpfr_mul(r21668, r21666, r21667, MPFR_RNDN);
        return mpfr_get_d(r21668, MPFR_RNDN);
}

static mpfr_t r21669, r21670, r21671, r21672, r21673, r21674, r21675, r21676, r21677, r21678, r21679, r21680, r21681, r21682, r21683, r21684, r21685, r21686, r21687, r21688, r21689, r21690, r21691, r21692, r21693, r21694;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2192);
        mpfr_init(r21669);
        mpfr_init_set_str(r21670, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r21687);
        mpfr_init(r21688);
        mpfr_init(r21689);
        mpfr_init(r21690);
        mpfr_init(r21691);
        mpfr_init(r21692);
        mpfr_init(r21693);
        mpfr_init(r21694);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_const_pi(r21669, MPFR_RNDN);
        ;
        mpfr_div(r21671, r21669, r21670, MPFR_RNDN);
        mpfr_set_d(r21672, phi2, MPFR_RNDN);
        mpfr_sin(r21673, r21672, MPFR_RNDN);
        mpfr_set_d(r21674, phi1, MPFR_RNDN);
        mpfr_sin(r21675, r21674, MPFR_RNDN);
        mpfr_mul(r21676, r21673, r21675, MPFR_RNDN);
        mpfr_set_d(r21677, lambda2, MPFR_RNDN);
        mpfr_cos(r21678, r21677, MPFR_RNDN);
        mpfr_set_d(r21679, lambda1, MPFR_RNDN);
        mpfr_cos(r21680, r21679, MPFR_RNDN);
        mpfr_mul(r21681, r21678, r21680, MPFR_RNDN);
        mpfr_sin(r21682, r21677, MPFR_RNDN);
        mpfr_sin(r21683, r21679, MPFR_RNDN);
        mpfr_mul(r21684, r21682, r21683, MPFR_RNDN);
        mpfr_add(r21685, r21681, r21684, MPFR_RNDN);
        mpfr_cos(r21686, r21672, MPFR_RNDN);
        mpfr_cos(r21687, r21674, MPFR_RNDN);
        mpfr_mul(r21688, r21686, r21687, MPFR_RNDN);
        mpfr_mul(r21689, r21685, r21688, MPFR_RNDN);
        mpfr_add(r21690, r21676, r21689, MPFR_RNDN);
        mpfr_asin(r21691, r21690, MPFR_RNDN);
        mpfr_sub(r21692, r21671, r21691, MPFR_RNDN);
        mpfr_set_d(r21693, R, MPFR_RNDN);
        mpfr_mul(r21694, r21692, r21693, MPFR_RNDN);
        return mpfr_get_d(r21694, MPFR_RNDN);
}