#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 = lambda1;
        float r21543 = cos(r21542);
        float r21544 = lambda2;
        float r21545 = cos(r21544);
        float r21546 = sin(r21542);
        float r21547 = sin(r21544);
        float r21548 = r21546 * r21547;
        float r21549 = fma(r21543, r21545, r21548);
        float r21550 = phi1;
        float r21551 = cos(r21550);
        float r21552 = phi2;
        float r21553 = cos(r21552);
        float r21554 = r21551 * r21553;
        float r21555 = sin(r21550);
        float r21556 = sin(r21552);
        float r21557 = r21555 * r21556;
        float r21558 = fma(r21549, r21554, r21557);
        float r21559 = acos(r21558);
        float r21560 = expm1(r21559);
        float r21561 = exp(r21560);
        float r21562 = sqrt(r21561);
        float r21563 = r21562 * r21562;
        float r21564 = log(r21563);
        float r21565 = log1p(r21564);
        float r21566 = R;
        float r21567 = r21565 * r21566;
        return r21567;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r21568 = lambda1;
        double r21569 = cos(r21568);
        double r21570 = lambda2;
        double r21571 = cos(r21570);
        double r21572 = sin(r21568);
        double r21573 = sin(r21570);
        double r21574 = r21572 * r21573;
        double r21575 = fma(r21569, r21571, r21574);
        double r21576 = phi1;
        double r21577 = cos(r21576);
        double r21578 = phi2;
        double r21579 = cos(r21578);
        double r21580 = r21577 * r21579;
        double r21581 = sin(r21576);
        double r21582 = sin(r21578);
        double r21583 = r21581 * r21582;
        double r21584 = fma(r21575, r21580, r21583);
        double r21585 = acos(r21584);
        double r21586 = expm1(r21585);
        double r21587 = exp(r21586);
        double r21588 = sqrt(r21587);
        double r21589 = r21588 * r21588;
        double r21590 = log(r21589);
        double r21591 = log1p(r21590);
        double r21592 = R;
        double r21593 = r21591 * r21592;
        return r21593;
}

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 r21594, r21595, r21596, r21597, r21598, r21599, r21600, r21601, r21602, r21603, r21604, r21605, r21606, r21607, r21608, r21609, r21610;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1872);
        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);
        mpfr_init(r21609);
        mpfr_init(r21610);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21594, phi1, MPFR_RNDN);
        mpfr_sin(r21595, r21594, MPFR_RNDN);
        mpfr_set_d(r21596, phi2, MPFR_RNDN);
        mpfr_sin(r21597, r21596, MPFR_RNDN);
        mpfr_mul(r21598, r21595, r21597, MPFR_RNDN);
        mpfr_cos(r21599, r21594, MPFR_RNDN);
        mpfr_cos(r21600, r21596, MPFR_RNDN);
        mpfr_mul(r21601, r21599, r21600, MPFR_RNDN);
        mpfr_set_d(r21602, lambda1, MPFR_RNDN);
        mpfr_set_d(r21603, lambda2, MPFR_RNDN);
        mpfr_sub(r21604, r21602, r21603, MPFR_RNDN);
        mpfr_cos(r21605, r21604, MPFR_RNDN);
        mpfr_mul(r21606, r21601, r21605, MPFR_RNDN);
        mpfr_add(r21607, r21598, r21606, MPFR_RNDN);
        mpfr_acos(r21608, r21607, MPFR_RNDN);
        mpfr_set_d(r21609, R, MPFR_RNDN);
        mpfr_mul(r21610, r21608, r21609, MPFR_RNDN);
        return mpfr_get_d(r21610, MPFR_RNDN);
}

static mpfr_t r21611, r21612, r21613, r21614, r21615, r21616, r21617, r21618, r21619, r21620, r21621, r21622, r21623, r21624, r21625, r21626, r21627, r21628, r21629, r21630, r21631, r21632, r21633, r21634, r21635, r21636;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1872);
        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);
        mpfr_init(r21634);
        mpfr_init(r21635);
        mpfr_init(r21636);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        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_sin(r21615, r21611, MPFR_RNDN);
        mpfr_sin(r21616, r21613, MPFR_RNDN);
        mpfr_mul(r21617, r21615, r21616, MPFR_RNDN);
        mpfr_fma(r21618, r21612, r21614, r21617, MPFR_RNDN);
        mpfr_set_d(r21619, phi1, MPFR_RNDN);
        mpfr_cos(r21620, r21619, MPFR_RNDN);
        mpfr_set_d(r21621, phi2, MPFR_RNDN);
        mpfr_cos(r21622, r21621, MPFR_RNDN);
        mpfr_mul(r21623, r21620, r21622, MPFR_RNDN);
        mpfr_sin(r21624, r21619, MPFR_RNDN);
        mpfr_sin(r21625, r21621, MPFR_RNDN);
        mpfr_mul(r21626, r21624, r21625, MPFR_RNDN);
        mpfr_fma(r21627, r21618, r21623, r21626, MPFR_RNDN);
        mpfr_acos(r21628, r21627, MPFR_RNDN);
        mpfr_expm1(r21629, r21628, MPFR_RNDN);
        mpfr_exp(r21630, r21629, MPFR_RNDN);
        mpfr_sqrt(r21631, r21630, MPFR_RNDN);
        mpfr_mul(r21632, r21631, r21631, MPFR_RNDN);
        mpfr_log(r21633, r21632, MPFR_RNDN);
        mpfr_log1p(r21634, r21633, MPFR_RNDN);
        mpfr_set_d(r21635, R, MPFR_RNDN);
        mpfr_mul(r21636, r21634, r21635, MPFR_RNDN);
        return mpfr_get_d(r21636, MPFR_RNDN);
}

static mpfr_t 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;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1872);
        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);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        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_sin(r21641, r21637, MPFR_RNDN);
        mpfr_sin(r21642, r21639, MPFR_RNDN);
        mpfr_mul(r21643, r21641, r21642, MPFR_RNDN);
        mpfr_fma(r21644, r21638, r21640, r21643, MPFR_RNDN);
        mpfr_set_d(r21645, phi1, MPFR_RNDN);
        mpfr_cos(r21646, r21645, MPFR_RNDN);
        mpfr_set_d(r21647, phi2, MPFR_RNDN);
        mpfr_cos(r21648, r21647, MPFR_RNDN);
        mpfr_mul(r21649, r21646, r21648, MPFR_RNDN);
        mpfr_sin(r21650, r21645, MPFR_RNDN);
        mpfr_sin(r21651, r21647, MPFR_RNDN);
        mpfr_mul(r21652, r21650, r21651, MPFR_RNDN);
        mpfr_fma(r21653, r21644, r21649, r21652, MPFR_RNDN);
        mpfr_acos(r21654, r21653, MPFR_RNDN);
        mpfr_expm1(r21655, r21654, MPFR_RNDN);
        mpfr_exp(r21656, r21655, MPFR_RNDN);
        mpfr_sqrt(r21657, r21656, MPFR_RNDN);
        mpfr_mul(r21658, r21657, r21657, MPFR_RNDN);
        mpfr_log(r21659, r21658, MPFR_RNDN);
        mpfr_log1p(r21660, r21659, MPFR_RNDN);
        mpfr_set_d(r21661, R, MPFR_RNDN);
        mpfr_mul(r21662, r21660, r21661, MPFR_RNDN);
        return mpfr_get_d(r21662, MPFR_RNDN);
}