#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 r21508 = phi1;
        float r21509 = sin(r21508);
        float r21510 = phi2;
        float r21511 = sin(r21510);
        float r21512 = r21509 * r21511;
        float r21513 = cos(r21508);
        float r21514 = cos(r21510);
        float r21515 = r21513 * r21514;
        float r21516 = lambda1;
        float r21517 = lambda2;
        float r21518 = r21516 - r21517;
        float r21519 = cos(r21518);
        float r21520 = r21515 * r21519;
        float r21521 = r21512 + r21520;
        float r21522 = acos(r21521);
        float r21523 = R;
        float r21524 = r21522 * r21523;
        return r21524;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r21525 = phi1;
        double r21526 = sin(r21525);
        double r21527 = phi2;
        double r21528 = sin(r21527);
        double r21529 = r21526 * r21528;
        double r21530 = cos(r21525);
        double r21531 = cos(r21527);
        double r21532 = r21530 * r21531;
        double r21533 = lambda1;
        double r21534 = lambda2;
        double r21535 = r21533 - r21534;
        double r21536 = cos(r21535);
        double r21537 = r21532 * r21536;
        double r21538 = r21529 + r21537;
        double r21539 = acos(r21538);
        double r21540 = R;
        double r21541 = r21539 * r21540;
        return r21541;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r21542 = phi1;
        float r21543 = sin(r21542);
        float r21544 = phi2;
        float r21545 = sin(r21544);
        float r21546 = r21543 * r21545;
        float r21547 = cos(r21542);
        float r21548 = cos(r21544);
        float r21549 = r21547 * r21548;
        float r21550 = lambda1;
        float r21551 = cos(r21550);
        float r21552 = lambda2;
        float r21553 = cos(r21552);
        float r21554 = r21551 * r21553;
        float r21555 = sin(r21550);
        float r21556 = -r21552;
        float r21557 = sin(r21556);
        float r21558 = r21555 * r21557;
        float r21559 = exp(r21558);
        float r21560 = log(r21559);
        float r21561 = r21554 - r21560;
        float r21562 = r21549 * r21561;
        float r21563 = r21546 + r21562;
        float r21564 = acos(r21563);
        float r21565 = R;
        float r21566 = r21564 * r21565;
        return r21566;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r21567 = phi1;
        double r21568 = sin(r21567);
        double r21569 = phi2;
        double r21570 = sin(r21569);
        double r21571 = r21568 * r21570;
        double r21572 = cos(r21567);
        double r21573 = cos(r21569);
        double r21574 = r21572 * r21573;
        double r21575 = lambda1;
        double r21576 = cos(r21575);
        double r21577 = lambda2;
        double r21578 = cos(r21577);
        double r21579 = r21576 * r21578;
        double r21580 = sin(r21575);
        double r21581 = -r21577;
        double r21582 = sin(r21581);
        double r21583 = r21580 * r21582;
        double r21584 = exp(r21583);
        double r21585 = log(r21584);
        double r21586 = r21579 - r21585;
        double r21587 = r21574 * r21586;
        double r21588 = r21571 + r21587;
        double r21589 = acos(r21588);
        double r21590 = R;
        double r21591 = r21589 * r21590;
        return r21591;
}

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 r21592, r21593, r21594, r21595, r21596, r21597, r21598, r21599, r21600, r21601, r21602, r21603, r21604, r21605, r21606, r21607, r21608;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1936);
        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);
        mpfr_init(r21603);
        mpfr_init(r21604);
        mpfr_init(r21605);
        mpfr_init(r21606);
        mpfr_init(r21607);
        mpfr_init(r21608);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21592, phi1, MPFR_RNDN);
        mpfr_sin(r21593, r21592, MPFR_RNDN);
        mpfr_set_d(r21594, phi2, MPFR_RNDN);
        mpfr_sin(r21595, r21594, MPFR_RNDN);
        mpfr_mul(r21596, r21593, r21595, MPFR_RNDN);
        mpfr_cos(r21597, r21592, MPFR_RNDN);
        mpfr_cos(r21598, r21594, MPFR_RNDN);
        mpfr_mul(r21599, r21597, r21598, MPFR_RNDN);
        mpfr_set_d(r21600, lambda1, MPFR_RNDN);
        mpfr_set_d(r21601, lambda2, MPFR_RNDN);
        mpfr_sub(r21602, r21600, r21601, MPFR_RNDN);
        mpfr_cos(r21603, r21602, MPFR_RNDN);
        mpfr_mul(r21604, r21599, r21603, MPFR_RNDN);
        mpfr_add(r21605, r21596, r21604, MPFR_RNDN);
        mpfr_acos(r21606, r21605, MPFR_RNDN);
        mpfr_set_d(r21607, R, MPFR_RNDN);
        mpfr_mul(r21608, r21606, r21607, MPFR_RNDN);
        return mpfr_get_d(r21608, MPFR_RNDN);
}

static mpfr_t r21609, r21610, r21611, r21612, r21613, r21614, r21615, r21616, r21617, r21618, r21619, r21620, r21621, r21622, r21623, r21624, r21625, r21626, r21627, r21628, r21629, r21630, r21631, r21632, r21633;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1936);
        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);
        mpfr_init(r21629);
        mpfr_init(r21630);
        mpfr_init(r21631);
        mpfr_init(r21632);
        mpfr_init(r21633);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21609, phi1, MPFR_RNDN);
        mpfr_sin(r21610, r21609, MPFR_RNDN);
        mpfr_set_d(r21611, phi2, MPFR_RNDN);
        mpfr_sin(r21612, r21611, MPFR_RNDN);
        mpfr_mul(r21613, r21610, r21612, MPFR_RNDN);
        mpfr_cos(r21614, r21609, MPFR_RNDN);
        mpfr_cos(r21615, r21611, MPFR_RNDN);
        mpfr_mul(r21616, r21614, r21615, MPFR_RNDN);
        mpfr_set_d(r21617, lambda1, MPFR_RNDN);
        mpfr_cos(r21618, r21617, MPFR_RNDN);
        mpfr_set_d(r21619, lambda2, MPFR_RNDN);
        mpfr_cos(r21620, r21619, MPFR_RNDN);
        mpfr_mul(r21621, r21618, r21620, MPFR_RNDN);
        mpfr_sin(r21622, r21617, MPFR_RNDN);
        mpfr_neg(r21623, r21619, MPFR_RNDN);
        mpfr_sin(r21624, r21623, MPFR_RNDN);
        mpfr_mul(r21625, r21622, r21624, MPFR_RNDN);
        mpfr_exp(r21626, r21625, MPFR_RNDN);
        mpfr_log(r21627, r21626, MPFR_RNDN);
        mpfr_sub(r21628, r21621, r21627, MPFR_RNDN);
        mpfr_mul(r21629, r21616, r21628, MPFR_RNDN);
        mpfr_add(r21630, r21613, r21629, MPFR_RNDN);
        mpfr_acos(r21631, r21630, MPFR_RNDN);
        mpfr_set_d(r21632, R, MPFR_RNDN);
        mpfr_mul(r21633, r21631, r21632, MPFR_RNDN);
        return mpfr_get_d(r21633, MPFR_RNDN);
}

static mpfr_t r21634, r21635, r21636, r21637, r21638, r21639, r21640, r21641, r21642, r21643, r21644, r21645, r21646, r21647, r21648, r21649, r21650, r21651, r21652, r21653, r21654, r21655, r21656, r21657, r21658;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1936);
        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);
        mpfr_init(r21655);
        mpfr_init(r21656);
        mpfr_init(r21657);
        mpfr_init(r21658);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21634, phi1, MPFR_RNDN);
        mpfr_sin(r21635, r21634, MPFR_RNDN);
        mpfr_set_d(r21636, phi2, MPFR_RNDN);
        mpfr_sin(r21637, r21636, MPFR_RNDN);
        mpfr_mul(r21638, r21635, r21637, MPFR_RNDN);
        mpfr_cos(r21639, r21634, MPFR_RNDN);
        mpfr_cos(r21640, r21636, MPFR_RNDN);
        mpfr_mul(r21641, r21639, r21640, MPFR_RNDN);
        mpfr_set_d(r21642, lambda1, MPFR_RNDN);
        mpfr_cos(r21643, r21642, MPFR_RNDN);
        mpfr_set_d(r21644, lambda2, MPFR_RNDN);
        mpfr_cos(r21645, r21644, MPFR_RNDN);
        mpfr_mul(r21646, r21643, r21645, MPFR_RNDN);
        mpfr_sin(r21647, r21642, MPFR_RNDN);
        mpfr_neg(r21648, r21644, MPFR_RNDN);
        mpfr_sin(r21649, r21648, MPFR_RNDN);
        mpfr_mul(r21650, r21647, r21649, MPFR_RNDN);
        mpfr_exp(r21651, r21650, MPFR_RNDN);
        mpfr_log(r21652, r21651, MPFR_RNDN);
        mpfr_sub(r21653, r21646, r21652, MPFR_RNDN);
        mpfr_mul(r21654, r21641, r21653, MPFR_RNDN);
        mpfr_add(r21655, r21638, r21654, MPFR_RNDN);
        mpfr_acos(r21656, r21655, MPFR_RNDN);
        mpfr_set_d(r21657, R, MPFR_RNDN);
        mpfr_mul(r21658, r21656, r21657, MPFR_RNDN);
        return mpfr_get_d(r21658, MPFR_RNDN);
}