#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 r21491 = phi1;
        float r21492 = sin(r21491);
        float r21493 = phi2;
        float r21494 = sin(r21493);
        float r21495 = r21492 * r21494;
        float r21496 = cos(r21491);
        float r21497 = cos(r21493);
        float r21498 = r21496 * r21497;
        float r21499 = lambda1;
        float r21500 = lambda2;
        float r21501 = r21499 - r21500;
        float r21502 = cos(r21501);
        float r21503 = r21498 * r21502;
        float r21504 = r21495 + r21503;
        float r21505 = acos(r21504);
        float r21506 = R;
        float r21507 = r21505 * r21506;
        return r21507;
}

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


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r21525 = phi2;
        float r21526 = sin(r21525);
        float r21527 = phi1;
        float r21528 = sin(r21527);
        float r21529 = r21526 * r21528;
        float r21530 = 3;
        float r21531 = pow(r21529, r21530);
        float r21532 = cbrt(r21531);
        float r21533 = cos(r21527);
        float r21534 = cos(r21525);
        float r21535 = r21533 * r21534;
        float r21536 = lambda1;
        float r21537 = cos(r21536);
        float r21538 = lambda2;
        float r21539 = cos(r21538);
        float r21540 = r21537 * r21539;
        float r21541 = sin(r21536);
        float r21542 = -r21538;
        float r21543 = sin(r21542);
        float r21544 = r21541 * r21543;
        float r21545 = r21540 - r21544;
        float r21546 = r21535 * r21545;
        float r21547 = r21532 + r21546;
        float r21548 = acos(r21547);
        float r21549 = R;
        float r21550 = r21548 * r21549;
        return r21550;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r21551 = phi2;
        double r21552 = sin(r21551);
        double r21553 = phi1;
        double r21554 = sin(r21553);
        double r21555 = r21552 * r21554;
        double r21556 = 3;
        double r21557 = pow(r21555, r21556);
        double r21558 = cbrt(r21557);
        double r21559 = cos(r21553);
        double r21560 = cos(r21551);
        double r21561 = r21559 * r21560;
        double r21562 = lambda1;
        double r21563 = cos(r21562);
        double r21564 = lambda2;
        double r21565 = cos(r21564);
        double r21566 = r21563 * r21565;
        double r21567 = sin(r21562);
        double r21568 = -r21564;
        double r21569 = sin(r21568);
        double r21570 = r21567 * r21569;
        double r21571 = r21566 - r21570;
        double r21572 = r21561 * r21571;
        double r21573 = r21558 + r21572;
        double r21574 = acos(r21573);
        double r21575 = R;
        double r21576 = r21574 * r21575;
        return r21576;
}

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 r21577, r21578, r21579, r21580, r21581, r21582, r21583, r21584, r21585, r21586, r21587, r21588, r21589, r21590, r21591, r21592, r21593;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2128);
        mpfr_init(r21577);
        mpfr_init(r21578);
        mpfr_init(r21579);
        mpfr_init(r21580);
        mpfr_init(r21581);
        mpfr_init(r21582);
        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);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21577, phi1, MPFR_RNDN);
        mpfr_sin(r21578, r21577, MPFR_RNDN);
        mpfr_set_d(r21579, phi2, MPFR_RNDN);
        mpfr_sin(r21580, r21579, MPFR_RNDN);
        mpfr_mul(r21581, r21578, r21580, MPFR_RNDN);
        mpfr_cos(r21582, r21577, MPFR_RNDN);
        mpfr_cos(r21583, r21579, MPFR_RNDN);
        mpfr_mul(r21584, r21582, r21583, MPFR_RNDN);
        mpfr_set_d(r21585, lambda1, MPFR_RNDN);
        mpfr_set_d(r21586, lambda2, MPFR_RNDN);
        mpfr_sub(r21587, r21585, r21586, MPFR_RNDN);
        mpfr_cos(r21588, r21587, MPFR_RNDN);
        mpfr_mul(r21589, r21584, r21588, MPFR_RNDN);
        mpfr_add(r21590, r21581, r21589, MPFR_RNDN);
        mpfr_acos(r21591, r21590, MPFR_RNDN);
        mpfr_set_d(r21592, R, MPFR_RNDN);
        mpfr_mul(r21593, r21591, r21592, MPFR_RNDN);
        return mpfr_get_d(r21593, MPFR_RNDN);
}

static mpfr_t r21594, r21595, r21596, r21597, r21598, r21599, r21600, r21601, r21602, r21603, r21604, r21605, r21606, r21607, r21608, r21609, r21610, r21611, r21612, r21613, r21614, r21615, r21616, r21617, r21618, r21619;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2128);
        mpfr_init(r21594);
        mpfr_init(r21595);
        mpfr_init(r21596);
        mpfr_init(r21597);
        mpfr_init(r21598);
        mpfr_init_set_str(r21599, "3", 10, MPFR_RNDN);
        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);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21594, phi2, MPFR_RNDN);
        mpfr_sin(r21595, r21594, MPFR_RNDN);
        mpfr_set_d(r21596, phi1, MPFR_RNDN);
        mpfr_sin(r21597, r21596, MPFR_RNDN);
        mpfr_mul(r21598, r21595, r21597, MPFR_RNDN);
        ;
        mpfr_pow(r21600, r21598, r21599, MPFR_RNDN);
        mpfr_cbrt(r21601, r21600, MPFR_RNDN);
        mpfr_cos(r21602, r21596, MPFR_RNDN);
        mpfr_cos(r21603, r21594, MPFR_RNDN);
        mpfr_mul(r21604, r21602, r21603, MPFR_RNDN);
        mpfr_set_d(r21605, lambda1, MPFR_RNDN);
        mpfr_cos(r21606, r21605, MPFR_RNDN);
        mpfr_set_d(r21607, lambda2, MPFR_RNDN);
        mpfr_cos(r21608, r21607, MPFR_RNDN);
        mpfr_mul(r21609, r21606, r21608, MPFR_RNDN);
        mpfr_sin(r21610, r21605, MPFR_RNDN);
        mpfr_neg(r21611, r21607, MPFR_RNDN);
        mpfr_sin(r21612, r21611, MPFR_RNDN);
        mpfr_mul(r21613, r21610, r21612, MPFR_RNDN);
        mpfr_sub(r21614, r21609, r21613, MPFR_RNDN);
        mpfr_mul(r21615, r21604, r21614, MPFR_RNDN);
        mpfr_add(r21616, r21601, r21615, MPFR_RNDN);
        mpfr_acos(r21617, r21616, MPFR_RNDN);
        mpfr_set_d(r21618, R, MPFR_RNDN);
        mpfr_mul(r21619, r21617, r21618, MPFR_RNDN);
        return mpfr_get_d(r21619, MPFR_RNDN);
}

static mpfr_t r21620, r21621, r21622, r21623, r21624, r21625, r21626, r21627, r21628, r21629, r21630, r21631, r21632, r21633, r21634, r21635, r21636, r21637, r21638, r21639, r21640, r21641, r21642, r21643, r21644, r21645;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2128);
        mpfr_init(r21620);
        mpfr_init(r21621);
        mpfr_init(r21622);
        mpfr_init(r21623);
        mpfr_init(r21624);
        mpfr_init_set_str(r21625, "3", 10, MPFR_RNDN);
        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);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21620, phi2, MPFR_RNDN);
        mpfr_sin(r21621, r21620, MPFR_RNDN);
        mpfr_set_d(r21622, phi1, MPFR_RNDN);
        mpfr_sin(r21623, r21622, MPFR_RNDN);
        mpfr_mul(r21624, r21621, r21623, MPFR_RNDN);
        ;
        mpfr_pow(r21626, r21624, r21625, MPFR_RNDN);
        mpfr_cbrt(r21627, r21626, MPFR_RNDN);
        mpfr_cos(r21628, r21622, MPFR_RNDN);
        mpfr_cos(r21629, r21620, MPFR_RNDN);
        mpfr_mul(r21630, r21628, r21629, MPFR_RNDN);
        mpfr_set_d(r21631, lambda1, MPFR_RNDN);
        mpfr_cos(r21632, r21631, MPFR_RNDN);
        mpfr_set_d(r21633, lambda2, MPFR_RNDN);
        mpfr_cos(r21634, r21633, MPFR_RNDN);
        mpfr_mul(r21635, r21632, r21634, MPFR_RNDN);
        mpfr_sin(r21636, r21631, MPFR_RNDN);
        mpfr_neg(r21637, r21633, MPFR_RNDN);
        mpfr_sin(r21638, r21637, MPFR_RNDN);
        mpfr_mul(r21639, r21636, r21638, MPFR_RNDN);
        mpfr_sub(r21640, r21635, r21639, MPFR_RNDN);
        mpfr_mul(r21641, r21630, r21640, MPFR_RNDN);
        mpfr_add(r21642, r21627, r21641, MPFR_RNDN);
        mpfr_acos(r21643, r21642, MPFR_RNDN);
        mpfr_set_d(r21644, R, MPFR_RNDN);
        mpfr_mul(r21645, r21643, r21644, MPFR_RNDN);
        return mpfr_get_d(r21645, MPFR_RNDN);
}