#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 r21551 = phi1;
        float r21552 = sin(r21551);
        float r21553 = phi2;
        float r21554 = sin(r21553);
        float r21555 = r21552 * r21554;
        float r21556 = cos(r21551);
        float r21557 = cos(r21553);
        float r21558 = r21556 * r21557;
        float r21559 = lambda1;
        float r21560 = lambda2;
        float r21561 = r21559 - r21560;
        float r21562 = cos(r21561);
        float r21563 = r21558 * r21562;
        float r21564 = r21555 + r21563;
        float r21565 = acos(r21564);
        float r21566 = R;
        float r21567 = r21565 * r21566;
        return r21567;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r21568 = phi1;
        double r21569 = sin(r21568);
        double r21570 = phi2;
        double r21571 = sin(r21570);
        double r21572 = r21569 * r21571;
        double r21573 = cos(r21568);
        double r21574 = cos(r21570);
        double r21575 = r21573 * r21574;
        double r21576 = lambda1;
        double r21577 = lambda2;
        double r21578 = r21576 - r21577;
        double r21579 = cos(r21578);
        double r21580 = r21575 * r21579;
        double r21581 = r21572 + r21580;
        double r21582 = acos(r21581);
        double r21583 = R;
        double r21584 = r21582 * r21583;
        return r21584;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r21585 = atan2(1.0, 0.0);
        float r21586 = 2;
        float r21587 = r21585 / r21586;
        float r21588 = lambda1;
        float r21589 = cos(r21588);
        float r21590 = lambda2;
        float r21591 = cos(r21590);
        float r21592 = sin(r21588);
        float r21593 = sin(r21590);
        float r21594 = r21592 * r21593;
        float r21595 = fma(r21589, r21591, r21594);
        float r21596 = phi1;
        float r21597 = cos(r21596);
        float r21598 = phi2;
        float r21599 = cos(r21598);
        float r21600 = r21597 * r21599;
        float r21601 = sin(r21596);
        float r21602 = sin(r21598);
        float r21603 = r21601 * r21602;
        float r21604 = fma(r21595, r21600, r21603);
        float r21605 = asin(r21604);
        float r21606 = r21587 - r21605;
        float r21607 = R;
        float r21608 = r21606 * r21607;
        return r21608;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r21609 = atan2(1.0, 0.0);
        double r21610 = 2;
        double r21611 = r21609 / r21610;
        double r21612 = lambda1;
        double r21613 = cos(r21612);
        double r21614 = lambda2;
        double r21615 = cos(r21614);
        double r21616 = sin(r21612);
        double r21617 = sin(r21614);
        double r21618 = r21616 * r21617;
        double r21619 = fma(r21613, r21615, r21618);
        double r21620 = phi1;
        double r21621 = cos(r21620);
        double r21622 = phi2;
        double r21623 = cos(r21622);
        double r21624 = r21621 * r21623;
        double r21625 = sin(r21620);
        double r21626 = sin(r21622);
        double r21627 = r21625 * r21626;
        double r21628 = fma(r21619, r21624, r21627);
        double r21629 = asin(r21628);
        double r21630 = r21611 - r21629;
        double r21631 = R;
        double r21632 = r21630 * r21631;
        return r21632;
}

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 r21633, r21634, r21635, r21636, r21637, r21638, r21639, r21640, r21641, r21642, r21643, r21644, r21645, r21646, r21647, r21648, r21649;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2128);
        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);
        mpfr_init(r21643);
        mpfr_init(r21644);
        mpfr_init(r21645);
        mpfr_init(r21646);
        mpfr_init(r21647);
        mpfr_init(r21648);
        mpfr_init(r21649);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21633, phi1, MPFR_RNDN);
        mpfr_sin(r21634, r21633, MPFR_RNDN);
        mpfr_set_d(r21635, phi2, MPFR_RNDN);
        mpfr_sin(r21636, r21635, MPFR_RNDN);
        mpfr_mul(r21637, r21634, r21636, MPFR_RNDN);
        mpfr_cos(r21638, r21633, MPFR_RNDN);
        mpfr_cos(r21639, r21635, MPFR_RNDN);
        mpfr_mul(r21640, r21638, r21639, MPFR_RNDN);
        mpfr_set_d(r21641, lambda1, MPFR_RNDN);
        mpfr_set_d(r21642, lambda2, MPFR_RNDN);
        mpfr_sub(r21643, r21641, r21642, MPFR_RNDN);
        mpfr_cos(r21644, r21643, MPFR_RNDN);
        mpfr_mul(r21645, r21640, r21644, MPFR_RNDN);
        mpfr_add(r21646, r21637, r21645, MPFR_RNDN);
        mpfr_acos(r21647, r21646, MPFR_RNDN);
        mpfr_set_d(r21648, R, MPFR_RNDN);
        mpfr_mul(r21649, r21647, r21648, MPFR_RNDN);
        return mpfr_get_d(r21649, MPFR_RNDN);
}

static mpfr_t r21650, r21651, r21652, r21653, r21654, r21655, r21656, r21657, r21658, r21659, r21660, r21661, r21662, r21663, r21664, r21665, r21666, r21667, r21668, r21669, r21670, r21671, r21672, r21673;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2128);
        mpfr_init(r21650);
        mpfr_init_set_str(r21651, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r21669);
        mpfr_init(r21670);
        mpfr_init(r21671);
        mpfr_init(r21672);
        mpfr_init(r21673);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_const_pi(r21650, MPFR_RNDN);
        ;
        mpfr_div(r21652, r21650, r21651, MPFR_RNDN);
        mpfr_set_d(r21653, lambda1, MPFR_RNDN);
        mpfr_cos(r21654, r21653, MPFR_RNDN);
        mpfr_set_d(r21655, lambda2, MPFR_RNDN);
        mpfr_cos(r21656, r21655, MPFR_RNDN);
        mpfr_sin(r21657, r21653, MPFR_RNDN);
        mpfr_sin(r21658, r21655, MPFR_RNDN);
        mpfr_mul(r21659, r21657, r21658, MPFR_RNDN);
        mpfr_fma(r21660, r21654, r21656, r21659, MPFR_RNDN);
        mpfr_set_d(r21661, phi1, MPFR_RNDN);
        mpfr_cos(r21662, r21661, MPFR_RNDN);
        mpfr_set_d(r21663, phi2, MPFR_RNDN);
        mpfr_cos(r21664, r21663, MPFR_RNDN);
        mpfr_mul(r21665, r21662, r21664, MPFR_RNDN);
        mpfr_sin(r21666, r21661, MPFR_RNDN);
        mpfr_sin(r21667, r21663, MPFR_RNDN);
        mpfr_mul(r21668, r21666, r21667, MPFR_RNDN);
        mpfr_fma(r21669, r21660, r21665, r21668, MPFR_RNDN);
        mpfr_asin(r21670, r21669, MPFR_RNDN);
        mpfr_sub(r21671, r21652, r21670, MPFR_RNDN);
        mpfr_set_d(r21672, R, MPFR_RNDN);
        mpfr_mul(r21673, r21671, r21672, MPFR_RNDN);
        return mpfr_get_d(r21673, MPFR_RNDN);
}

static mpfr_t r21674, r21675, r21676, r21677, r21678, r21679, r21680, r21681, r21682, r21683, r21684, r21685, r21686, r21687, r21688, r21689, r21690, r21691, r21692, r21693, r21694, r21695, r21696, r21697;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2128);
        mpfr_init(r21674);
        mpfr_init_set_str(r21675, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r21695);
        mpfr_init(r21696);
        mpfr_init(r21697);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_const_pi(r21674, MPFR_RNDN);
        ;
        mpfr_div(r21676, r21674, r21675, MPFR_RNDN);
        mpfr_set_d(r21677, lambda1, MPFR_RNDN);
        mpfr_cos(r21678, r21677, MPFR_RNDN);
        mpfr_set_d(r21679, lambda2, MPFR_RNDN);
        mpfr_cos(r21680, r21679, MPFR_RNDN);
        mpfr_sin(r21681, r21677, MPFR_RNDN);
        mpfr_sin(r21682, r21679, MPFR_RNDN);
        mpfr_mul(r21683, r21681, r21682, MPFR_RNDN);
        mpfr_fma(r21684, r21678, r21680, r21683, MPFR_RNDN);
        mpfr_set_d(r21685, phi1, MPFR_RNDN);
        mpfr_cos(r21686, r21685, MPFR_RNDN);
        mpfr_set_d(r21687, phi2, MPFR_RNDN);
        mpfr_cos(r21688, r21687, MPFR_RNDN);
        mpfr_mul(r21689, r21686, r21688, MPFR_RNDN);
        mpfr_sin(r21690, r21685, MPFR_RNDN);
        mpfr_sin(r21691, r21687, MPFR_RNDN);
        mpfr_mul(r21692, r21690, r21691, MPFR_RNDN);
        mpfr_fma(r21693, r21684, r21689, r21692, MPFR_RNDN);
        mpfr_asin(r21694, r21693, MPFR_RNDN);
        mpfr_sub(r21695, r21676, r21694, MPFR_RNDN);
        mpfr_set_d(r21696, R, MPFR_RNDN);
        mpfr_mul(r21697, r21695, r21696, MPFR_RNDN);
        return mpfr_get_d(r21697, MPFR_RNDN);
}