#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 r21524 = phi1;
        float r21525 = sin(r21524);
        float r21526 = phi2;
        float r21527 = sin(r21526);
        float r21528 = r21525 * r21527;
        float r21529 = cos(r21524);
        float r21530 = cos(r21526);
        float r21531 = r21529 * r21530;
        float r21532 = lambda1;
        float r21533 = lambda2;
        float r21534 = r21532 - r21533;
        float r21535 = cos(r21534);
        float r21536 = r21531 * r21535;
        float r21537 = r21528 + r21536;
        float r21538 = acos(r21537);
        float r21539 = R;
        float r21540 = r21538 * r21539;
        return r21540;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r21541 = phi1;
        double r21542 = sin(r21541);
        double r21543 = phi2;
        double r21544 = sin(r21543);
        double r21545 = r21542 * r21544;
        double r21546 = cos(r21541);
        double r21547 = cos(r21543);
        double r21548 = r21546 * r21547;
        double r21549 = lambda1;
        double r21550 = lambda2;
        double r21551 = r21549 - r21550;
        double r21552 = cos(r21551);
        double r21553 = r21548 * r21552;
        double r21554 = r21545 + r21553;
        double r21555 = acos(r21554);
        double r21556 = R;
        double r21557 = r21555 * r21556;
        return r21557;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r21558 = phi1;
        float r21559 = sin(r21558);
        float r21560 = phi2;
        float r21561 = sin(r21560);
        float r21562 = r21559 * r21561;
        float r21563 = cos(r21558);
        float r21564 = cos(r21560);
        float r21565 = r21563 * r21564;
        float r21566 = lambda1;
        float r21567 = cos(r21566);
        float r21568 = lambda2;
        float r21569 = cos(r21568);
        float r21570 = r21567 * r21569;
        float r21571 = sin(r21566);
        float r21572 = -r21568;
        float r21573 = sin(r21572);
        float r21574 = r21571 * r21573;
        float r21575 = exp(r21574);
        float r21576 = log(r21575);
        float r21577 = r21570 - r21576;
        float r21578 = r21565 * r21577;
        float r21579 = r21562 + r21578;
        float r21580 = acos(r21579);
        float r21581 = R;
        float r21582 = r21580 * r21581;
        return r21582;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r21583 = phi1;
        double r21584 = sin(r21583);
        double r21585 = phi2;
        double r21586 = sin(r21585);
        double r21587 = r21584 * r21586;
        double r21588 = cos(r21583);
        double r21589 = cos(r21585);
        double r21590 = r21588 * r21589;
        double r21591 = lambda1;
        double r21592 = cos(r21591);
        double r21593 = lambda2;
        double r21594 = cos(r21593);
        double r21595 = r21592 * r21594;
        double r21596 = sin(r21591);
        double r21597 = -r21593;
        double r21598 = sin(r21597);
        double r21599 = r21596 * r21598;
        double r21600 = exp(r21599);
        double r21601 = log(r21600);
        double r21602 = r21595 - r21601;
        double r21603 = r21590 * r21602;
        double r21604 = r21587 + r21603;
        double r21605 = acos(r21604);
        double r21606 = R;
        double r21607 = r21605 * r21606;
        return r21607;
}

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 r21608, r21609, r21610, r21611, r21612, r21613, r21614, r21615, r21616, r21617, r21618, r21619, r21620, r21621, r21622, r21623, r21624;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1936);
        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);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21608, phi1, MPFR_RNDN);
        mpfr_sin(r21609, r21608, MPFR_RNDN);
        mpfr_set_d(r21610, phi2, MPFR_RNDN);
        mpfr_sin(r21611, r21610, MPFR_RNDN);
        mpfr_mul(r21612, r21609, r21611, MPFR_RNDN);
        mpfr_cos(r21613, r21608, MPFR_RNDN);
        mpfr_cos(r21614, r21610, MPFR_RNDN);
        mpfr_mul(r21615, r21613, r21614, MPFR_RNDN);
        mpfr_set_d(r21616, lambda1, MPFR_RNDN);
        mpfr_set_d(r21617, lambda2, MPFR_RNDN);
        mpfr_sub(r21618, r21616, r21617, MPFR_RNDN);
        mpfr_cos(r21619, r21618, MPFR_RNDN);
        mpfr_mul(r21620, r21615, r21619, MPFR_RNDN);
        mpfr_add(r21621, r21612, r21620, MPFR_RNDN);
        mpfr_acos(r21622, r21621, MPFR_RNDN);
        mpfr_set_d(r21623, R, MPFR_RNDN);
        mpfr_mul(r21624, r21622, r21623, MPFR_RNDN);
        return mpfr_get_d(r21624, MPFR_RNDN);
}

static mpfr_t r21625, r21626, r21627, r21628, r21629, r21630, r21631, r21632, r21633, r21634, r21635, r21636, r21637, r21638, r21639, r21640, r21641, r21642, r21643, r21644, r21645, r21646, r21647, r21648, r21649;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1936);
        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);
        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);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21625, phi1, MPFR_RNDN);
        mpfr_sin(r21626, r21625, MPFR_RNDN);
        mpfr_set_d(r21627, phi2, MPFR_RNDN);
        mpfr_sin(r21628, r21627, MPFR_RNDN);
        mpfr_mul(r21629, r21626, r21628, MPFR_RNDN);
        mpfr_cos(r21630, r21625, MPFR_RNDN);
        mpfr_cos(r21631, r21627, MPFR_RNDN);
        mpfr_mul(r21632, r21630, r21631, MPFR_RNDN);
        mpfr_set_d(r21633, lambda1, MPFR_RNDN);
        mpfr_cos(r21634, r21633, MPFR_RNDN);
        mpfr_set_d(r21635, lambda2, MPFR_RNDN);
        mpfr_cos(r21636, r21635, MPFR_RNDN);
        mpfr_mul(r21637, r21634, r21636, MPFR_RNDN);
        mpfr_sin(r21638, r21633, MPFR_RNDN);
        mpfr_neg(r21639, r21635, MPFR_RNDN);
        mpfr_sin(r21640, r21639, MPFR_RNDN);
        mpfr_mul(r21641, r21638, r21640, MPFR_RNDN);
        mpfr_exp(r21642, r21641, MPFR_RNDN);
        mpfr_log(r21643, r21642, MPFR_RNDN);
        mpfr_sub(r21644, r21637, r21643, MPFR_RNDN);
        mpfr_mul(r21645, r21632, r21644, MPFR_RNDN);
        mpfr_add(r21646, r21629, r21645, MPFR_RNDN);
        mpfr_acos(r21647, r21646, MPFR_RNDN);
        mpfr_set_d(r21648, R, MPFR_RNDN);
        mpfr_mul(r21649, r21647, r21648, MPFR_RNDN);
        return mpfr_get_d(r21649, MPFR_RNDN);
}

static mpfr_t r21650, r21651, r21652, r21653, r21654, r21655, r21656, r21657, r21658, r21659, r21660, r21661, r21662, r21663, r21664, r21665, r21666, r21667, r21668, r21669, r21670, r21671, r21672, r21673, r21674;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1936);
        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);
        mpfr_init(r21663);
        mpfr_init(r21664);
        mpfr_init(r21665);
        mpfr_init(r21666);
        mpfr_init(r21667);
        mpfr_init(r21668);
        mpfr_init(r21669);
        mpfr_init(r21670);
        mpfr_init(r21671);
        mpfr_init(r21672);
        mpfr_init(r21673);
        mpfr_init(r21674);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21650, phi1, MPFR_RNDN);
        mpfr_sin(r21651, r21650, MPFR_RNDN);
        mpfr_set_d(r21652, phi2, MPFR_RNDN);
        mpfr_sin(r21653, r21652, MPFR_RNDN);
        mpfr_mul(r21654, r21651, r21653, MPFR_RNDN);
        mpfr_cos(r21655, r21650, MPFR_RNDN);
        mpfr_cos(r21656, r21652, MPFR_RNDN);
        mpfr_mul(r21657, r21655, r21656, MPFR_RNDN);
        mpfr_set_d(r21658, lambda1, MPFR_RNDN);
        mpfr_cos(r21659, r21658, MPFR_RNDN);
        mpfr_set_d(r21660, lambda2, MPFR_RNDN);
        mpfr_cos(r21661, r21660, MPFR_RNDN);
        mpfr_mul(r21662, r21659, r21661, MPFR_RNDN);
        mpfr_sin(r21663, r21658, MPFR_RNDN);
        mpfr_neg(r21664, r21660, MPFR_RNDN);
        mpfr_sin(r21665, r21664, MPFR_RNDN);
        mpfr_mul(r21666, r21663, r21665, MPFR_RNDN);
        mpfr_exp(r21667, r21666, MPFR_RNDN);
        mpfr_log(r21668, r21667, MPFR_RNDN);
        mpfr_sub(r21669, r21662, r21668, MPFR_RNDN);
        mpfr_mul(r21670, r21657, r21669, MPFR_RNDN);
        mpfr_add(r21671, r21654, r21670, MPFR_RNDN);
        mpfr_acos(r21672, r21671, MPFR_RNDN);
        mpfr_set_d(r21673, R, MPFR_RNDN);
        mpfr_mul(r21674, r21672, r21673, MPFR_RNDN);
        return mpfr_get_d(r21674, MPFR_RNDN);
}