#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 r21520 = phi1;
        float r21521 = sin(r21520);
        float r21522 = phi2;
        float r21523 = sin(r21522);
        float r21524 = r21521 * r21523;
        float r21525 = cos(r21520);
        float r21526 = cos(r21522);
        float r21527 = r21525 * r21526;
        float r21528 = lambda1;
        float r21529 = lambda2;
        float r21530 = r21528 - r21529;
        float r21531 = cos(r21530);
        float r21532 = r21527 * r21531;
        float r21533 = r21524 + r21532;
        float r21534 = acos(r21533);
        float r21535 = R;
        float r21536 = r21534 * r21535;
        return r21536;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r21537 = phi1;
        double r21538 = sin(r21537);
        double r21539 = phi2;
        double r21540 = sin(r21539);
        double r21541 = r21538 * r21540;
        double r21542 = cos(r21537);
        double r21543 = cos(r21539);
        double r21544 = r21542 * r21543;
        double r21545 = lambda1;
        double r21546 = lambda2;
        double r21547 = r21545 - r21546;
        double r21548 = cos(r21547);
        double r21549 = r21544 * r21548;
        double r21550 = r21541 + r21549;
        double r21551 = acos(r21550);
        double r21552 = R;
        double r21553 = r21551 * r21552;
        return r21553;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r21554 = phi1;
        float r21555 = sin(r21554);
        float r21556 = phi2;
        float r21557 = sin(r21556);
        float r21558 = r21555 * r21557;
        float r21559 = cos(r21554);
        float r21560 = cos(r21556);
        float r21561 = r21559 * r21560;
        float r21562 = lambda1;
        float r21563 = cos(r21562);
        float r21564 = lambda2;
        float r21565 = cos(r21564);
        float r21566 = r21563 * r21565;
        float r21567 = sin(r21562);
        float r21568 = -r21564;
        float r21569 = sin(r21568);
        float r21570 = r21567 * r21569;
        float r21571 = exp(r21570);
        float r21572 = log(r21571);
        float r21573 = r21566 - r21572;
        float r21574 = r21561 * r21573;
        float r21575 = r21558 + r21574;
        float r21576 = acos(r21575);
        float r21577 = R;
        float r21578 = r21576 * r21577;
        return r21578;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r21579 = phi1;
        double r21580 = sin(r21579);
        double r21581 = phi2;
        double r21582 = sin(r21581);
        double r21583 = r21580 * r21582;
        double r21584 = cos(r21579);
        double r21585 = cos(r21581);
        double r21586 = r21584 * r21585;
        double r21587 = lambda1;
        double r21588 = cos(r21587);
        double r21589 = lambda2;
        double r21590 = cos(r21589);
        double r21591 = r21588 * r21590;
        double r21592 = sin(r21587);
        double r21593 = -r21589;
        double r21594 = sin(r21593);
        double r21595 = r21592 * r21594;
        double r21596 = exp(r21595);
        double r21597 = log(r21596);
        double r21598 = r21591 - r21597;
        double r21599 = r21586 * r21598;
        double r21600 = r21583 + r21599;
        double r21601 = acos(r21600);
        double r21602 = R;
        double r21603 = r21601 * r21602;
        return r21603;
}

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 r21604, r21605, r21606, r21607, r21608, r21609, r21610, r21611, r21612, r21613, r21614, r21615, r21616, r21617, r21618, r21619, r21620;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1936);
        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);
        mpfr_init(r21620);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21604, phi1, MPFR_RNDN);
        mpfr_sin(r21605, r21604, MPFR_RNDN);
        mpfr_set_d(r21606, phi2, MPFR_RNDN);
        mpfr_sin(r21607, r21606, MPFR_RNDN);
        mpfr_mul(r21608, r21605, r21607, MPFR_RNDN);
        mpfr_cos(r21609, r21604, MPFR_RNDN);
        mpfr_cos(r21610, r21606, MPFR_RNDN);
        mpfr_mul(r21611, r21609, r21610, MPFR_RNDN);
        mpfr_set_d(r21612, lambda1, MPFR_RNDN);
        mpfr_set_d(r21613, lambda2, MPFR_RNDN);
        mpfr_sub(r21614, r21612, r21613, MPFR_RNDN);
        mpfr_cos(r21615, r21614, MPFR_RNDN);
        mpfr_mul(r21616, r21611, r21615, MPFR_RNDN);
        mpfr_add(r21617, r21608, r21616, MPFR_RNDN);
        mpfr_acos(r21618, r21617, MPFR_RNDN);
        mpfr_set_d(r21619, R, MPFR_RNDN);
        mpfr_mul(r21620, r21618, r21619, MPFR_RNDN);
        return mpfr_get_d(r21620, MPFR_RNDN);
}

static mpfr_t 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_fm() {
        mpfr_set_default_prec(1936);
        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);
        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_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21621, phi1, MPFR_RNDN);
        mpfr_sin(r21622, r21621, MPFR_RNDN);
        mpfr_set_d(r21623, phi2, MPFR_RNDN);
        mpfr_sin(r21624, r21623, MPFR_RNDN);
        mpfr_mul(r21625, r21622, r21624, MPFR_RNDN);
        mpfr_cos(r21626, r21621, MPFR_RNDN);
        mpfr_cos(r21627, r21623, MPFR_RNDN);
        mpfr_mul(r21628, r21626, r21627, MPFR_RNDN);
        mpfr_set_d(r21629, lambda1, MPFR_RNDN);
        mpfr_cos(r21630, r21629, MPFR_RNDN);
        mpfr_set_d(r21631, lambda2, MPFR_RNDN);
        mpfr_cos(r21632, r21631, MPFR_RNDN);
        mpfr_mul(r21633, r21630, r21632, MPFR_RNDN);
        mpfr_sin(r21634, r21629, MPFR_RNDN);
        mpfr_neg(r21635, r21631, MPFR_RNDN);
        mpfr_sin(r21636, r21635, MPFR_RNDN);
        mpfr_mul(r21637, r21634, r21636, MPFR_RNDN);
        mpfr_exp(r21638, r21637, MPFR_RNDN);
        mpfr_log(r21639, r21638, MPFR_RNDN);
        mpfr_sub(r21640, r21633, r21639, MPFR_RNDN);
        mpfr_mul(r21641, r21628, r21640, MPFR_RNDN);
        mpfr_add(r21642, r21625, 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);
}

static mpfr_t 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(1936);
        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);
        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(r21646, phi1, MPFR_RNDN);
        mpfr_sin(r21647, r21646, MPFR_RNDN);
        mpfr_set_d(r21648, phi2, MPFR_RNDN);
        mpfr_sin(r21649, r21648, MPFR_RNDN);
        mpfr_mul(r21650, r21647, r21649, MPFR_RNDN);
        mpfr_cos(r21651, r21646, MPFR_RNDN);
        mpfr_cos(r21652, r21648, MPFR_RNDN);
        mpfr_mul(r21653, r21651, r21652, MPFR_RNDN);
        mpfr_set_d(r21654, lambda1, MPFR_RNDN);
        mpfr_cos(r21655, r21654, MPFR_RNDN);
        mpfr_set_d(r21656, lambda2, MPFR_RNDN);
        mpfr_cos(r21657, r21656, MPFR_RNDN);
        mpfr_mul(r21658, r21655, r21657, MPFR_RNDN);
        mpfr_sin(r21659, r21654, MPFR_RNDN);
        mpfr_neg(r21660, r21656, MPFR_RNDN);
        mpfr_sin(r21661, r21660, MPFR_RNDN);
        mpfr_mul(r21662, r21659, r21661, MPFR_RNDN);
        mpfr_exp(r21663, r21662, MPFR_RNDN);
        mpfr_log(r21664, r21663, MPFR_RNDN);
        mpfr_sub(r21665, r21658, r21664, MPFR_RNDN);
        mpfr_mul(r21666, r21653, r21665, MPFR_RNDN);
        mpfr_add(r21667, r21650, 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);
}