#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 r21516 = phi1;
        float r21517 = sin(r21516);
        float r21518 = phi2;
        float r21519 = sin(r21518);
        float r21520 = r21517 * r21519;
        float r21521 = cos(r21516);
        float r21522 = cos(r21518);
        float r21523 = r21521 * r21522;
        float r21524 = lambda1;
        float r21525 = lambda2;
        float r21526 = r21524 - r21525;
        float r21527 = cos(r21526);
        float r21528 = r21523 * r21527;
        float r21529 = r21520 + r21528;
        float r21530 = acos(r21529);
        float r21531 = R;
        float r21532 = r21530 * r21531;
        return r21532;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r21533 = phi1;
        double r21534 = sin(r21533);
        double r21535 = phi2;
        double r21536 = sin(r21535);
        double r21537 = r21534 * r21536;
        double r21538 = cos(r21533);
        double r21539 = cos(r21535);
        double r21540 = r21538 * r21539;
        double r21541 = lambda1;
        double r21542 = lambda2;
        double r21543 = r21541 - r21542;
        double r21544 = cos(r21543);
        double r21545 = r21540 * r21544;
        double r21546 = r21537 + r21545;
        double r21547 = acos(r21546);
        double r21548 = R;
        double r21549 = r21547 * r21548;
        return r21549;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r21550 = phi2;
        float r21551 = cos(r21550);
        float r21552 = phi1;
        float r21553 = cos(r21552);
        float r21554 = r21551 * r21553;
        float r21555 = lambda1;
        float r21556 = cos(r21555);
        float r21557 = lambda2;
        float r21558 = cos(r21557);
        float r21559 = r21556 * r21558;
        float r21560 = sin(r21555);
        float r21561 = -r21557;
        float r21562 = sin(r21561);
        float r21563 = r21560 * r21562;
        float r21564 = r21559 - r21563;
        float r21565 = sin(r21550);
        float r21566 = sin(r21552);
        float r21567 = r21565 * r21566;
        float r21568 = exp(r21567);
        float r21569 = log(r21568);
        float r21570 = fma(r21554, r21564, r21569);
        float r21571 = acos(r21570);
        float r21572 = sqrt(r21571);
        float r21573 = sin(r21557);
        float r21574 = r21573 * r21560;
        float r21575 = fma(r21556, r21558, r21574);
        float r21576 = r21553 * r21551;
        float r21577 = r21566 * r21565;
        float r21578 = fma(r21575, r21576, r21577);
        float r21579 = acos(r21578);
        float r21580 = sqrt(r21579);
        float r21581 = R;
        float r21582 = r21580 * r21581;
        float r21583 = r21572 * r21582;
        return r21583;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r21584 = phi2;
        double r21585 = cos(r21584);
        double r21586 = phi1;
        double r21587 = cos(r21586);
        double r21588 = r21585 * r21587;
        double r21589 = lambda1;
        double r21590 = cos(r21589);
        double r21591 = lambda2;
        double r21592 = cos(r21591);
        double r21593 = r21590 * r21592;
        double r21594 = sin(r21589);
        double r21595 = -r21591;
        double r21596 = sin(r21595);
        double r21597 = r21594 * r21596;
        double r21598 = r21593 - r21597;
        double r21599 = sin(r21584);
        double r21600 = sin(r21586);
        double r21601 = r21599 * r21600;
        double r21602 = exp(r21601);
        double r21603 = log(r21602);
        double r21604 = fma(r21588, r21598, r21603);
        double r21605 = acos(r21604);
        double r21606 = sqrt(r21605);
        double r21607 = sin(r21591);
        double r21608 = r21607 * r21594;
        double r21609 = fma(r21590, r21592, r21608);
        double r21610 = r21587 * r21585;
        double r21611 = r21600 * r21599;
        double r21612 = fma(r21609, r21610, r21611);
        double r21613 = acos(r21612);
        double r21614 = sqrt(r21613);
        double r21615 = R;
        double r21616 = r21614 * r21615;
        double r21617 = r21606 * r21616;
        return r21617;
}

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 r21618, r21619, r21620, r21621, r21622, r21623, r21624, r21625, r21626, r21627, r21628, r21629, r21630, r21631, r21632, r21633, r21634;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1936);
        mpfr_init(r21618);
        mpfr_init(r21619);
        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);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21618, phi1, MPFR_RNDN);
        mpfr_sin(r21619, r21618, MPFR_RNDN);
        mpfr_set_d(r21620, phi2, MPFR_RNDN);
        mpfr_sin(r21621, r21620, MPFR_RNDN);
        mpfr_mul(r21622, r21619, r21621, MPFR_RNDN);
        mpfr_cos(r21623, r21618, MPFR_RNDN);
        mpfr_cos(r21624, r21620, MPFR_RNDN);
        mpfr_mul(r21625, r21623, r21624, MPFR_RNDN);
        mpfr_set_d(r21626, lambda1, MPFR_RNDN);
        mpfr_set_d(r21627, lambda2, MPFR_RNDN);
        mpfr_sub(r21628, r21626, r21627, MPFR_RNDN);
        mpfr_cos(r21629, r21628, MPFR_RNDN);
        mpfr_mul(r21630, r21625, r21629, MPFR_RNDN);
        mpfr_add(r21631, r21622, r21630, MPFR_RNDN);
        mpfr_acos(r21632, r21631, MPFR_RNDN);
        mpfr_set_d(r21633, R, MPFR_RNDN);
        mpfr_mul(r21634, r21632, r21633, MPFR_RNDN);
        return mpfr_get_d(r21634, MPFR_RNDN);
}

static mpfr_t r21635, r21636, 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, r21662, r21663, r21664, r21665, r21666, r21667, r21668;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1936);
        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);
        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_set_d(r21635, phi2, MPFR_RNDN);
        mpfr_cos(r21636, r21635, MPFR_RNDN);
        mpfr_set_d(r21637, phi1, MPFR_RNDN);
        mpfr_cos(r21638, r21637, MPFR_RNDN);
        mpfr_mul(r21639, r21636, r21638, MPFR_RNDN);
        mpfr_set_d(r21640, lambda1, MPFR_RNDN);
        mpfr_cos(r21641, r21640, MPFR_RNDN);
        mpfr_set_d(r21642, lambda2, MPFR_RNDN);
        mpfr_cos(r21643, r21642, MPFR_RNDN);
        mpfr_mul(r21644, r21641, r21643, MPFR_RNDN);
        mpfr_sin(r21645, r21640, MPFR_RNDN);
        mpfr_neg(r21646, r21642, MPFR_RNDN);
        mpfr_sin(r21647, r21646, MPFR_RNDN);
        mpfr_mul(r21648, r21645, r21647, MPFR_RNDN);
        mpfr_sub(r21649, r21644, r21648, MPFR_RNDN);
        mpfr_sin(r21650, r21635, MPFR_RNDN);
        mpfr_sin(r21651, r21637, MPFR_RNDN);
        mpfr_mul(r21652, r21650, r21651, MPFR_RNDN);
        mpfr_exp(r21653, r21652, MPFR_RNDN);
        mpfr_log(r21654, r21653, MPFR_RNDN);
        mpfr_fma(r21655, r21639, r21649, r21654, MPFR_RNDN);
        mpfr_acos(r21656, r21655, MPFR_RNDN);
        mpfr_sqrt(r21657, r21656, MPFR_RNDN);
        mpfr_sin(r21658, r21642, MPFR_RNDN);
        mpfr_mul(r21659, r21658, r21645, MPFR_RNDN);
        mpfr_fma(r21660, r21641, r21643, r21659, MPFR_RNDN);
        mpfr_mul(r21661, r21638, r21636, MPFR_RNDN);
        mpfr_mul(r21662, r21651, r21650, MPFR_RNDN);
        mpfr_fma(r21663, r21660, r21661, r21662, MPFR_RNDN);
        mpfr_acos(r21664, r21663, MPFR_RNDN);
        mpfr_sqrt(r21665, r21664, MPFR_RNDN);
        mpfr_set_d(r21666, R, MPFR_RNDN);
        mpfr_mul(r21667, r21665, r21666, MPFR_RNDN);
        mpfr_mul(r21668, r21657, 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, r21695, r21696, r21697, r21698, r21699, r21700, r21701, r21702;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1936);
        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);
        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);
        mpfr_init(r21702);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21669, phi2, MPFR_RNDN);
        mpfr_cos(r21670, r21669, MPFR_RNDN);
        mpfr_set_d(r21671, phi1, MPFR_RNDN);
        mpfr_cos(r21672, r21671, MPFR_RNDN);
        mpfr_mul(r21673, r21670, r21672, MPFR_RNDN);
        mpfr_set_d(r21674, lambda1, MPFR_RNDN);
        mpfr_cos(r21675, r21674, MPFR_RNDN);
        mpfr_set_d(r21676, lambda2, MPFR_RNDN);
        mpfr_cos(r21677, r21676, MPFR_RNDN);
        mpfr_mul(r21678, r21675, r21677, MPFR_RNDN);
        mpfr_sin(r21679, r21674, MPFR_RNDN);
        mpfr_neg(r21680, r21676, MPFR_RNDN);
        mpfr_sin(r21681, r21680, MPFR_RNDN);
        mpfr_mul(r21682, r21679, r21681, MPFR_RNDN);
        mpfr_sub(r21683, r21678, r21682, MPFR_RNDN);
        mpfr_sin(r21684, r21669, MPFR_RNDN);
        mpfr_sin(r21685, r21671, MPFR_RNDN);
        mpfr_mul(r21686, r21684, r21685, MPFR_RNDN);
        mpfr_exp(r21687, r21686, MPFR_RNDN);
        mpfr_log(r21688, r21687, MPFR_RNDN);
        mpfr_fma(r21689, r21673, r21683, r21688, MPFR_RNDN);
        mpfr_acos(r21690, r21689, MPFR_RNDN);
        mpfr_sqrt(r21691, r21690, MPFR_RNDN);
        mpfr_sin(r21692, r21676, MPFR_RNDN);
        mpfr_mul(r21693, r21692, r21679, MPFR_RNDN);
        mpfr_fma(r21694, r21675, r21677, r21693, MPFR_RNDN);
        mpfr_mul(r21695, r21672, r21670, MPFR_RNDN);
        mpfr_mul(r21696, r21685, r21684, MPFR_RNDN);
        mpfr_fma(r21697, r21694, r21695, r21696, MPFR_RNDN);
        mpfr_acos(r21698, r21697, MPFR_RNDN);
        mpfr_sqrt(r21699, r21698, MPFR_RNDN);
        mpfr_set_d(r21700, R, MPFR_RNDN);
        mpfr_mul(r21701, r21699, r21700, MPFR_RNDN);
        mpfr_mul(r21702, r21691, r21701, MPFR_RNDN);
        return mpfr_get_d(r21702, MPFR_RNDN);
}