#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 r21488 = phi1;
        float r21489 = sin(r21488);
        float r21490 = phi2;
        float r21491 = sin(r21490);
        float r21492 = r21489 * r21491;
        float r21493 = cos(r21488);
        float r21494 = cos(r21490);
        float r21495 = r21493 * r21494;
        float r21496 = lambda1;
        float r21497 = lambda2;
        float r21498 = r21496 - r21497;
        float r21499 = cos(r21498);
        float r21500 = r21495 * r21499;
        float r21501 = r21492 + r21500;
        float r21502 = acos(r21501);
        float r21503 = R;
        float r21504 = r21502 * r21503;
        return r21504;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r21505 = phi1;
        double r21506 = sin(r21505);
        double r21507 = phi2;
        double r21508 = sin(r21507);
        double r21509 = r21506 * r21508;
        double r21510 = cos(r21505);
        double r21511 = cos(r21507);
        double r21512 = r21510 * r21511;
        double r21513 = lambda1;
        double r21514 = lambda2;
        double r21515 = r21513 - r21514;
        double r21516 = cos(r21515);
        double r21517 = r21512 * r21516;
        double r21518 = r21509 + r21517;
        double r21519 = acos(r21518);
        double r21520 = R;
        double r21521 = r21519 * r21520;
        return r21521;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r21522 = phi1;
        float r21523 = sin(r21522);
        float r21524 = phi2;
        float r21525 = sin(r21524);
        float r21526 = r21523 * r21525;
        float r21527 = cos(r21522);
        float r21528 = cos(r21524);
        float r21529 = r21527 * r21528;
        float r21530 = lambda1;
        float r21531 = sin(r21530);
        float r21532 = lambda2;
        float r21533 = sin(r21532);
        float r21534 = r21531 * r21533;
        float r21535 = 3;
        float r21536 = pow(r21534, r21535);
        float r21537 = cos(r21532);
        float r21538 = pow(r21537, r21535);
        float r21539 = cos(r21530);
        float r21540 = pow(r21539, r21535);
        float r21541 = r21538 * r21540;
        float r21542 = r21536 + r21541;
        float r21543 = r21537 * r21539;
        float r21544 = r21533 * r21531;
        float r21545 = r21543 - r21544;
        float r21546 = r21545 * r21543;
        float r21547 = r21544 * r21544;
        float r21548 = r21546 + r21547;
        float r21549 = r21542 / r21548;
        float r21550 = r21529 * r21549;
        float r21551 = r21526 + r21550;
        float r21552 = acos(r21551);
        float r21553 = R;
        float r21554 = r21552 * r21553;
        return r21554;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r21555 = phi1;
        double r21556 = sin(r21555);
        double r21557 = phi2;
        double r21558 = sin(r21557);
        double r21559 = r21556 * r21558;
        double r21560 = cos(r21555);
        double r21561 = cos(r21557);
        double r21562 = r21560 * r21561;
        double r21563 = lambda1;
        double r21564 = sin(r21563);
        double r21565 = lambda2;
        double r21566 = sin(r21565);
        double r21567 = r21564 * r21566;
        double r21568 = 3;
        double r21569 = pow(r21567, r21568);
        double r21570 = cos(r21565);
        double r21571 = pow(r21570, r21568);
        double r21572 = cos(r21563);
        double r21573 = pow(r21572, r21568);
        double r21574 = r21571 * r21573;
        double r21575 = r21569 + r21574;
        double r21576 = r21570 * r21572;
        double r21577 = r21566 * r21564;
        double r21578 = r21576 - r21577;
        double r21579 = r21578 * r21576;
        double r21580 = r21577 * r21577;
        double r21581 = r21579 + r21580;
        double r21582 = r21575 / r21581;
        double r21583 = r21562 * r21582;
        double r21584 = r21559 + r21583;
        double r21585 = acos(r21584);
        double r21586 = R;
        double r21587 = r21585 * r21586;
        return r21587;
}

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 r21588, r21589, r21590, r21591, r21592, r21593, r21594, r21595, r21596, r21597, r21598, r21599, r21600, r21601, r21602, r21603, r21604;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2128);
        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);
        mpfr_init(r21603);
        mpfr_init(r21604);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21588, phi1, MPFR_RNDN);
        mpfr_sin(r21589, r21588, MPFR_RNDN);
        mpfr_set_d(r21590, phi2, MPFR_RNDN);
        mpfr_sin(r21591, r21590, MPFR_RNDN);
        mpfr_mul(r21592, r21589, r21591, MPFR_RNDN);
        mpfr_cos(r21593, r21588, MPFR_RNDN);
        mpfr_cos(r21594, r21590, MPFR_RNDN);
        mpfr_mul(r21595, r21593, r21594, MPFR_RNDN);
        mpfr_set_d(r21596, lambda1, MPFR_RNDN);
        mpfr_set_d(r21597, lambda2, MPFR_RNDN);
        mpfr_sub(r21598, r21596, r21597, MPFR_RNDN);
        mpfr_cos(r21599, r21598, MPFR_RNDN);
        mpfr_mul(r21600, r21595, r21599, MPFR_RNDN);
        mpfr_add(r21601, r21592, r21600, MPFR_RNDN);
        mpfr_acos(r21602, r21601, MPFR_RNDN);
        mpfr_set_d(r21603, R, MPFR_RNDN);
        mpfr_mul(r21604, r21602, r21603, MPFR_RNDN);
        return mpfr_get_d(r21604, MPFR_RNDN);
}

static mpfr_t r21605, r21606, r21607, r21608, 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, r21634, r21635, r21636, r21637;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2128);
        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_set_str(r21618, "3", 10, MPFR_RNDN);
        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);
        mpfr_init(r21637);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21605, phi1, MPFR_RNDN);
        mpfr_sin(r21606, r21605, MPFR_RNDN);
        mpfr_set_d(r21607, phi2, MPFR_RNDN);
        mpfr_sin(r21608, r21607, MPFR_RNDN);
        mpfr_mul(r21609, r21606, r21608, MPFR_RNDN);
        mpfr_cos(r21610, r21605, MPFR_RNDN);
        mpfr_cos(r21611, r21607, MPFR_RNDN);
        mpfr_mul(r21612, r21610, r21611, MPFR_RNDN);
        mpfr_set_d(r21613, lambda1, MPFR_RNDN);
        mpfr_sin(r21614, r21613, MPFR_RNDN);
        mpfr_set_d(r21615, lambda2, MPFR_RNDN);
        mpfr_sin(r21616, r21615, MPFR_RNDN);
        mpfr_mul(r21617, r21614, r21616, MPFR_RNDN);
        ;
        mpfr_pow(r21619, r21617, r21618, MPFR_RNDN);
        mpfr_cos(r21620, r21615, MPFR_RNDN);
        mpfr_pow(r21621, r21620, r21618, MPFR_RNDN);
        mpfr_cos(r21622, r21613, MPFR_RNDN);
        mpfr_pow(r21623, r21622, r21618, MPFR_RNDN);
        mpfr_mul(r21624, r21621, r21623, MPFR_RNDN);
        mpfr_add(r21625, r21619, r21624, MPFR_RNDN);
        mpfr_mul(r21626, r21620, r21622, MPFR_RNDN);
        mpfr_mul(r21627, r21616, r21614, MPFR_RNDN);
        mpfr_sub(r21628, r21626, r21627, MPFR_RNDN);
        mpfr_mul(r21629, r21628, r21626, MPFR_RNDN);
        mpfr_mul(r21630, r21627, r21627, MPFR_RNDN);
        mpfr_add(r21631, r21629, r21630, MPFR_RNDN);
        mpfr_div(r21632, r21625, r21631, MPFR_RNDN);
        mpfr_mul(r21633, r21612, r21632, MPFR_RNDN);
        mpfr_add(r21634, r21609, r21633, MPFR_RNDN);
        mpfr_acos(r21635, r21634, MPFR_RNDN);
        mpfr_set_d(r21636, R, MPFR_RNDN);
        mpfr_mul(r21637, r21635, r21636, MPFR_RNDN);
        return mpfr_get_d(r21637, MPFR_RNDN);
}

static mpfr_t 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, r21663, r21664, r21665, r21666, r21667, r21668, r21669, r21670;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2128);
        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_set_str(r21651, "3", 10, MPFR_RNDN);
        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);
        mpfr_init(r21663);
        mpfr_init(r21664);
        mpfr_init(r21665);
        mpfr_init(r21666);
        mpfr_init(r21667);
        mpfr_init(r21668);
        mpfr_init(r21669);
        mpfr_init(r21670);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21638, phi1, MPFR_RNDN);
        mpfr_sin(r21639, r21638, MPFR_RNDN);
        mpfr_set_d(r21640, phi2, MPFR_RNDN);
        mpfr_sin(r21641, r21640, MPFR_RNDN);
        mpfr_mul(r21642, r21639, r21641, MPFR_RNDN);
        mpfr_cos(r21643, r21638, MPFR_RNDN);
        mpfr_cos(r21644, r21640, MPFR_RNDN);
        mpfr_mul(r21645, r21643, r21644, MPFR_RNDN);
        mpfr_set_d(r21646, lambda1, MPFR_RNDN);
        mpfr_sin(r21647, r21646, MPFR_RNDN);
        mpfr_set_d(r21648, lambda2, MPFR_RNDN);
        mpfr_sin(r21649, r21648, MPFR_RNDN);
        mpfr_mul(r21650, r21647, r21649, MPFR_RNDN);
        ;
        mpfr_pow(r21652, r21650, r21651, MPFR_RNDN);
        mpfr_cos(r21653, r21648, MPFR_RNDN);
        mpfr_pow(r21654, r21653, r21651, MPFR_RNDN);
        mpfr_cos(r21655, r21646, MPFR_RNDN);
        mpfr_pow(r21656, r21655, r21651, MPFR_RNDN);
        mpfr_mul(r21657, r21654, r21656, MPFR_RNDN);
        mpfr_add(r21658, r21652, r21657, MPFR_RNDN);
        mpfr_mul(r21659, r21653, r21655, MPFR_RNDN);
        mpfr_mul(r21660, r21649, r21647, MPFR_RNDN);
        mpfr_sub(r21661, r21659, r21660, MPFR_RNDN);
        mpfr_mul(r21662, r21661, r21659, MPFR_RNDN);
        mpfr_mul(r21663, r21660, r21660, MPFR_RNDN);
        mpfr_add(r21664, r21662, r21663, MPFR_RNDN);
        mpfr_div(r21665, r21658, r21664, MPFR_RNDN);
        mpfr_mul(r21666, r21645, r21665, MPFR_RNDN);
        mpfr_add(r21667, r21642, r21666, MPFR_RNDN);
        mpfr_acos(r21668, r21667, MPFR_RNDN);
        mpfr_set_d(r21669, R, MPFR_RNDN);
        mpfr_mul(r21670, r21668, r21669, MPFR_RNDN);
        return mpfr_get_d(r21670, MPFR_RNDN);
}