#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 r21497 = phi1;
        float r21498 = sin(r21497);
        float r21499 = phi2;
        float r21500 = sin(r21499);
        float r21501 = r21498 * r21500;
        float r21502 = cos(r21497);
        float r21503 = cos(r21499);
        float r21504 = r21502 * r21503;
        float r21505 = lambda1;
        float r21506 = lambda2;
        float r21507 = r21505 - r21506;
        float r21508 = cos(r21507);
        float r21509 = r21504 * r21508;
        float r21510 = r21501 + r21509;
        float r21511 = acos(r21510);
        float r21512 = R;
        float r21513 = r21511 * r21512;
        return r21513;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r21514 = phi1;
        double r21515 = sin(r21514);
        double r21516 = phi2;
        double r21517 = sin(r21516);
        double r21518 = r21515 * r21517;
        double r21519 = cos(r21514);
        double r21520 = cos(r21516);
        double r21521 = r21519 * r21520;
        double r21522 = lambda1;
        double r21523 = lambda2;
        double r21524 = r21522 - r21523;
        double r21525 = cos(r21524);
        double r21526 = r21521 * r21525;
        double r21527 = r21518 + r21526;
        double r21528 = acos(r21527);
        double r21529 = R;
        double r21530 = r21528 * r21529;
        return r21530;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r21531 = phi1;
        float r21532 = sin(r21531);
        float r21533 = phi2;
        float r21534 = sin(r21533);
        float r21535 = r21532 * r21534;
        float r21536 = cos(r21531);
        float r21537 = cos(r21533);
        float r21538 = r21536 * r21537;
        float r21539 = lambda1;
        float r21540 = cos(r21539);
        float r21541 = lambda2;
        float r21542 = cos(r21541);
        float r21543 = r21540 * r21542;
        float r21544 = sin(r21539);
        float r21545 = -r21541;
        float r21546 = sin(r21545);
        float r21547 = r21544 * r21546;
        float r21548 = cbrt(r21547);
        float r21549 = r21548 * r21548;
        float r21550 = r21549 * r21548;
        float r21551 = r21543 - r21550;
        float r21552 = r21538 * r21551;
        float r21553 = r21535 + r21552;
        float r21554 = acos(r21553);
        float r21555 = R;
        float r21556 = r21554 * r21555;
        return r21556;
}

double f_od(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 = cos(r21565);
        double r21567 = lambda2;
        double r21568 = cos(r21567);
        double r21569 = r21566 * r21568;
        double r21570 = sin(r21565);
        double r21571 = -r21567;
        double r21572 = sin(r21571);
        double r21573 = r21570 * r21572;
        double r21574 = cbrt(r21573);
        double r21575 = r21574 * r21574;
        double r21576 = r21575 * r21574;
        double r21577 = r21569 - r21576;
        double r21578 = r21564 * r21577;
        double r21579 = r21561 + r21578;
        double r21580 = acos(r21579);
        double r21581 = R;
        double r21582 = r21580 * r21581;
        return r21582;
}

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 r21583, r21584, r21585, r21586, r21587, r21588, r21589, r21590, r21591, r21592, r21593, r21594, r21595, r21596, r21597, r21598, r21599;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(4112);
        mpfr_init(r21583);
        mpfr_init(r21584);
        mpfr_init(r21585);
        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);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21583, phi1, MPFR_RNDN);
        mpfr_sin(r21584, r21583, MPFR_RNDN);
        mpfr_set_d(r21585, phi2, MPFR_RNDN);
        mpfr_sin(r21586, r21585, MPFR_RNDN);
        mpfr_mul(r21587, r21584, r21586, MPFR_RNDN);
        mpfr_cos(r21588, r21583, MPFR_RNDN);
        mpfr_cos(r21589, r21585, MPFR_RNDN);
        mpfr_mul(r21590, r21588, r21589, MPFR_RNDN);
        mpfr_set_d(r21591, lambda1, MPFR_RNDN);
        mpfr_set_d(r21592, lambda2, MPFR_RNDN);
        mpfr_sub(r21593, r21591, r21592, MPFR_RNDN);
        mpfr_cos(r21594, r21593, MPFR_RNDN);
        mpfr_mul(r21595, r21590, r21594, MPFR_RNDN);
        mpfr_add(r21596, r21587, r21595, MPFR_RNDN);
        mpfr_acos(r21597, r21596, MPFR_RNDN);
        mpfr_set_d(r21598, R, MPFR_RNDN);
        mpfr_mul(r21599, r21597, r21598, MPFR_RNDN);
        return mpfr_get_d(r21599, MPFR_RNDN);
}

static mpfr_t r21600, r21601, r21602, r21603, r21604, r21605, r21606, r21607, r21608, r21609, r21610, r21611, r21612, r21613, r21614, r21615, r21616, r21617, r21618, r21619, r21620, r21621, r21622, r21623, r21624, r21625;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(4112);
        mpfr_init(r21600);
        mpfr_init(r21601);
        mpfr_init(r21602);
        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);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21600, phi1, MPFR_RNDN);
        mpfr_sin(r21601, r21600, MPFR_RNDN);
        mpfr_set_d(r21602, phi2, MPFR_RNDN);
        mpfr_sin(r21603, r21602, MPFR_RNDN);
        mpfr_mul(r21604, r21601, r21603, MPFR_RNDN);
        mpfr_cos(r21605, r21600, MPFR_RNDN);
        mpfr_cos(r21606, r21602, MPFR_RNDN);
        mpfr_mul(r21607, r21605, r21606, MPFR_RNDN);
        mpfr_set_d(r21608, lambda1, MPFR_RNDN);
        mpfr_cos(r21609, r21608, MPFR_RNDN);
        mpfr_set_d(r21610, lambda2, MPFR_RNDN);
        mpfr_cos(r21611, r21610, MPFR_RNDN);
        mpfr_mul(r21612, r21609, r21611, MPFR_RNDN);
        mpfr_sin(r21613, r21608, MPFR_RNDN);
        mpfr_neg(r21614, r21610, MPFR_RNDN);
        mpfr_sin(r21615, r21614, MPFR_RNDN);
        mpfr_mul(r21616, r21613, r21615, MPFR_RNDN);
        mpfr_cbrt(r21617, r21616, MPFR_RNDN);
        mpfr_mul(r21618, r21617, r21617, MPFR_RNDN);
        mpfr_mul(r21619, r21618, r21617, MPFR_RNDN);
        mpfr_sub(r21620, r21612, r21619, MPFR_RNDN);
        mpfr_mul(r21621, r21607, r21620, MPFR_RNDN);
        mpfr_add(r21622, r21604, r21621, MPFR_RNDN);
        mpfr_acos(r21623, r21622, MPFR_RNDN);
        mpfr_set_d(r21624, R, MPFR_RNDN);
        mpfr_mul(r21625, r21623, r21624, MPFR_RNDN);
        return mpfr_get_d(r21625, MPFR_RNDN);
}

static mpfr_t r21626, r21627, r21628, r21629, r21630, r21631, r21632, r21633, r21634, r21635, r21636, r21637, r21638, r21639, r21640, r21641, r21642, r21643, r21644, r21645, r21646, r21647, r21648, r21649, r21650, r21651;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(4112);
        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);
        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);
}

double f_dm(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_cos(r21635, r21634, MPFR_RNDN);
        mpfr_set_d(r21636, lambda2, MPFR_RNDN);
        mpfr_cos(r21637, r21636, MPFR_RNDN);
        mpfr_mul(r21638, r21635, r21637, MPFR_RNDN);
        mpfr_sin(r21639, r21634, MPFR_RNDN);
        mpfr_neg(r21640, r21636, MPFR_RNDN);
        mpfr_sin(r21641, r21640, MPFR_RNDN);
        mpfr_mul(r21642, r21639, r21641, MPFR_RNDN);
        mpfr_cbrt(r21643, r21642, MPFR_RNDN);
        mpfr_mul(r21644, r21643, r21643, MPFR_RNDN);
        mpfr_mul(r21645, r21644, r21643, MPFR_RNDN);
        mpfr_sub(r21646, r21638, r21645, MPFR_RNDN);
        mpfr_mul(r21647, r21633, r21646, MPFR_RNDN);
        mpfr_add(r21648, r21630, r21647, MPFR_RNDN);
        mpfr_acos(r21649, r21648, MPFR_RNDN);
        mpfr_set_d(r21650, R, MPFR_RNDN);
        mpfr_mul(r21651, r21649, r21650, MPFR_RNDN);
        return mpfr_get_d(r21651, MPFR_RNDN);
}