#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 r21500 = phi1;
        float r21501 = sin(r21500);
        float r21502 = phi2;
        float r21503 = sin(r21502);
        float r21504 = r21501 * r21503;
        float r21505 = cos(r21500);
        float r21506 = cos(r21502);
        float r21507 = r21505 * r21506;
        float r21508 = lambda1;
        float r21509 = lambda2;
        float r21510 = r21508 - r21509;
        float r21511 = cos(r21510);
        float r21512 = r21507 * r21511;
        float r21513 = r21504 + r21512;
        float r21514 = acos(r21513);
        float r21515 = R;
        float r21516 = r21514 * r21515;
        return r21516;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r21517 = phi1;
        double r21518 = sin(r21517);
        double r21519 = phi2;
        double r21520 = sin(r21519);
        double r21521 = r21518 * r21520;
        double r21522 = cos(r21517);
        double r21523 = cos(r21519);
        double r21524 = r21522 * r21523;
        double r21525 = lambda1;
        double r21526 = lambda2;
        double r21527 = r21525 - r21526;
        double r21528 = cos(r21527);
        double r21529 = r21524 * r21528;
        double r21530 = r21521 + r21529;
        double r21531 = acos(r21530);
        double r21532 = R;
        double r21533 = r21531 * r21532;
        return r21533;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r21534 = phi1;
        float r21535 = sin(r21534);
        float r21536 = phi2;
        float r21537 = sin(r21536);
        float r21538 = r21535 * r21537;
        float r21539 = cos(r21534);
        float r21540 = cos(r21536);
        float r21541 = r21539 * r21540;
        float r21542 = lambda1;
        float r21543 = cos(r21542);
        float r21544 = lambda2;
        float r21545 = cos(r21544);
        float r21546 = r21543 * r21545;
        float r21547 = sin(r21542);
        float r21548 = -r21544;
        float r21549 = sin(r21548);
        float r21550 = cbrt(r21549);
        float r21551 = r21550 * r21550;
        float r21552 = r21547 * r21551;
        float r21553 = r21552 * r21550;
        float r21554 = r21546 - r21553;
        float r21555 = r21541 * r21554;
        float r21556 = r21538 + r21555;
        float r21557 = acos(r21556);
        float r21558 = R;
        float r21559 = r21557 * r21558;
        return r21559;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r21560 = phi1;
        double r21561 = sin(r21560);
        double r21562 = phi2;
        double r21563 = sin(r21562);
        double r21564 = r21561 * r21563;
        double r21565 = cos(r21560);
        double r21566 = cos(r21562);
        double r21567 = r21565 * r21566;
        double r21568 = lambda1;
        double r21569 = cos(r21568);
        double r21570 = lambda2;
        double r21571 = cos(r21570);
        double r21572 = r21569 * r21571;
        double r21573 = sin(r21568);
        double r21574 = -r21570;
        double r21575 = sin(r21574);
        double r21576 = cbrt(r21575);
        double r21577 = r21576 * r21576;
        double r21578 = r21573 * r21577;
        double r21579 = r21578 * r21576;
        double r21580 = r21572 - r21579;
        double r21581 = r21567 * r21580;
        double r21582 = r21564 + r21581;
        double r21583 = acos(r21582);
        double r21584 = R;
        double r21585 = r21583 * r21584;
        return r21585;
}

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 r21586, r21587, r21588, r21589, r21590, r21591, r21592, r21593, r21594, r21595, r21596, r21597, r21598, r21599, r21600, r21601, r21602;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1936);
        mpfr_init(r21586);
        mpfr_init(r21587);
        mpfr_init(r21588);
        mpfr_init(r21589);
        mpfr_init(r21590);
        mpfr_init(r21591);
        mpfr_init(r21592);
        mpfr_init(r21593);
        mpfr_init(r21594);
        mpfr_init(r21595);
        mpfr_init(r21596);
        mpfr_init(r21597);
        mpfr_init(r21598);
        mpfr_init(r21599);
        mpfr_init(r21600);
        mpfr_init(r21601);
        mpfr_init(r21602);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21586, phi1, MPFR_RNDN);
        mpfr_sin(r21587, r21586, MPFR_RNDN);
        mpfr_set_d(r21588, phi2, MPFR_RNDN);
        mpfr_sin(r21589, r21588, MPFR_RNDN);
        mpfr_mul(r21590, r21587, r21589, MPFR_RNDN);
        mpfr_cos(r21591, r21586, MPFR_RNDN);
        mpfr_cos(r21592, r21588, MPFR_RNDN);
        mpfr_mul(r21593, r21591, r21592, MPFR_RNDN);
        mpfr_set_d(r21594, lambda1, MPFR_RNDN);
        mpfr_set_d(r21595, lambda2, MPFR_RNDN);
        mpfr_sub(r21596, r21594, r21595, MPFR_RNDN);
        mpfr_cos(r21597, r21596, MPFR_RNDN);
        mpfr_mul(r21598, r21593, r21597, MPFR_RNDN);
        mpfr_add(r21599, r21590, r21598, MPFR_RNDN);
        mpfr_acos(r21600, r21599, MPFR_RNDN);
        mpfr_set_d(r21601, R, MPFR_RNDN);
        mpfr_mul(r21602, r21600, r21601, MPFR_RNDN);
        return mpfr_get_d(r21602, MPFR_RNDN);
}

static mpfr_t r21603, r21604, r21605, r21606, r21607, r21608, r21609, r21610, r21611, r21612, r21613, r21614, r21615, r21616, r21617, r21618, r21619, r21620, r21621, r21622, r21623, r21624, r21625, r21626, r21627, r21628;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1936);
        mpfr_init(r21603);
        mpfr_init(r21604);
        mpfr_init(r21605);
        mpfr_init(r21606);
        mpfr_init(r21607);
        mpfr_init(r21608);
        mpfr_init(r21609);
        mpfr_init(r21610);
        mpfr_init(r21611);
        mpfr_init(r21612);
        mpfr_init(r21613);
        mpfr_init(r21614);
        mpfr_init(r21615);
        mpfr_init(r21616);
        mpfr_init(r21617);
        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);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21603, phi1, MPFR_RNDN);
        mpfr_sin(r21604, r21603, MPFR_RNDN);
        mpfr_set_d(r21605, phi2, MPFR_RNDN);
        mpfr_sin(r21606, r21605, MPFR_RNDN);
        mpfr_mul(r21607, r21604, r21606, MPFR_RNDN);
        mpfr_cos(r21608, r21603, MPFR_RNDN);
        mpfr_cos(r21609, r21605, MPFR_RNDN);
        mpfr_mul(r21610, r21608, r21609, MPFR_RNDN);
        mpfr_set_d(r21611, lambda1, MPFR_RNDN);
        mpfr_cos(r21612, r21611, MPFR_RNDN);
        mpfr_set_d(r21613, lambda2, MPFR_RNDN);
        mpfr_cos(r21614, r21613, MPFR_RNDN);
        mpfr_mul(r21615, r21612, r21614, MPFR_RNDN);
        mpfr_sin(r21616, r21611, MPFR_RNDN);
        mpfr_neg(r21617, r21613, MPFR_RNDN);
        mpfr_sin(r21618, r21617, MPFR_RNDN);
        mpfr_cbrt(r21619, r21618, MPFR_RNDN);
        mpfr_mul(r21620, r21619, r21619, MPFR_RNDN);
        mpfr_mul(r21621, r21616, r21620, MPFR_RNDN);
        mpfr_mul(r21622, r21621, r21619, MPFR_RNDN);
        mpfr_sub(r21623, r21615, r21622, MPFR_RNDN);
        mpfr_mul(r21624, r21610, r21623, MPFR_RNDN);
        mpfr_add(r21625, r21607, r21624, MPFR_RNDN);
        mpfr_acos(r21626, r21625, MPFR_RNDN);
        mpfr_set_d(r21627, R, MPFR_RNDN);
        mpfr_mul(r21628, r21626, r21627, MPFR_RNDN);
        return mpfr_get_d(r21628, MPFR_RNDN);
}

static mpfr_t r21629, r21630, r21631, r21632, r21633, r21634, r21635, r21636, r21637, r21638, r21639, r21640, r21641, r21642, r21643, r21644, r21645, r21646, r21647, r21648, r21649, r21650, r21651, r21652, r21653, r21654;

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

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21629, phi1, MPFR_RNDN);
        mpfr_sin(r21630, r21629, MPFR_RNDN);
        mpfr_set_d(r21631, phi2, MPFR_RNDN);
        mpfr_sin(r21632, r21631, MPFR_RNDN);
        mpfr_mul(r21633, r21630, r21632, MPFR_RNDN);
        mpfr_cos(r21634, r21629, MPFR_RNDN);
        mpfr_cos(r21635, r21631, MPFR_RNDN);
        mpfr_mul(r21636, r21634, r21635, MPFR_RNDN);
        mpfr_set_d(r21637, lambda1, MPFR_RNDN);
        mpfr_cos(r21638, r21637, MPFR_RNDN);
        mpfr_set_d(r21639, lambda2, MPFR_RNDN);
        mpfr_cos(r21640, r21639, MPFR_RNDN);
        mpfr_mul(r21641, r21638, r21640, MPFR_RNDN);
        mpfr_sin(r21642, r21637, MPFR_RNDN);
        mpfr_neg(r21643, r21639, MPFR_RNDN);
        mpfr_sin(r21644, r21643, MPFR_RNDN);
        mpfr_cbrt(r21645, r21644, MPFR_RNDN);
        mpfr_mul(r21646, r21645, r21645, MPFR_RNDN);
        mpfr_mul(r21647, r21642, r21646, MPFR_RNDN);
        mpfr_mul(r21648, r21647, r21645, MPFR_RNDN);
        mpfr_sub(r21649, r21641, r21648, MPFR_RNDN);
        mpfr_mul(r21650, r21636, r21649, MPFR_RNDN);
        mpfr_add(r21651, r21633, r21650, MPFR_RNDN);
        mpfr_acos(r21652, r21651, MPFR_RNDN);
        mpfr_set_d(r21653, R, MPFR_RNDN);
        mpfr_mul(r21654, r21652, r21653, MPFR_RNDN);
        return mpfr_get_d(r21654, MPFR_RNDN);
}