#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 r21532 = phi1;
        float r21533 = sin(r21532);
        float r21534 = phi2;
        float r21535 = sin(r21534);
        float r21536 = r21533 * r21535;
        float r21537 = cos(r21532);
        float r21538 = cos(r21534);
        float r21539 = r21537 * r21538;
        float r21540 = lambda1;
        float r21541 = lambda2;
        float r21542 = r21540 - r21541;
        float r21543 = cos(r21542);
        float r21544 = r21539 * r21543;
        float r21545 = r21536 + r21544;
        float r21546 = acos(r21545);
        float r21547 = R;
        float r21548 = r21546 * r21547;
        return r21548;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r21549 = phi1;
        double r21550 = sin(r21549);
        double r21551 = phi2;
        double r21552 = sin(r21551);
        double r21553 = r21550 * r21552;
        double r21554 = cos(r21549);
        double r21555 = cos(r21551);
        double r21556 = r21554 * r21555;
        double r21557 = lambda1;
        double r21558 = lambda2;
        double r21559 = r21557 - r21558;
        double r21560 = cos(r21559);
        double r21561 = r21556 * r21560;
        double r21562 = r21553 + r21561;
        double r21563 = acos(r21562);
        double r21564 = R;
        double r21565 = r21563 * r21564;
        return r21565;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r21566 = atan2(1.0, 0.0);
        float r21567 = 2;
        float r21568 = r21566 / r21567;
        float r21569 = lambda2;
        float r21570 = cos(r21569);
        float r21571 = lambda1;
        float r21572 = cos(r21571);
        float r21573 = sin(r21569);
        float r21574 = sin(r21571);
        float r21575 = r21573 * r21574;
        float r21576 = fma(r21570, r21572, r21575);
        float r21577 = phi2;
        float r21578 = cos(r21577);
        float r21579 = phi1;
        float r21580 = cos(r21579);
        float r21581 = r21578 * r21580;
        float r21582 = sin(r21577);
        float r21583 = sin(r21579);
        float r21584 = r21582 * r21583;
        float r21585 = fma(r21576, r21581, r21584);
        float r21586 = asin(r21585);
        float r21587 = r21568 - r21586;
        float r21588 = R;
        float r21589 = r21587 * r21588;
        return r21589;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r21590 = atan2(1.0, 0.0);
        double r21591 = 2;
        double r21592 = r21590 / r21591;
        double r21593 = lambda2;
        double r21594 = cos(r21593);
        double r21595 = lambda1;
        double r21596 = cos(r21595);
        double r21597 = sin(r21593);
        double r21598 = sin(r21595);
        double r21599 = r21597 * r21598;
        double r21600 = fma(r21594, r21596, r21599);
        double r21601 = phi2;
        double r21602 = cos(r21601);
        double r21603 = phi1;
        double r21604 = cos(r21603);
        double r21605 = r21602 * r21604;
        double r21606 = sin(r21601);
        double r21607 = sin(r21603);
        double r21608 = r21606 * r21607;
        double r21609 = fma(r21600, r21605, r21608);
        double r21610 = asin(r21609);
        double r21611 = r21592 - r21610;
        double r21612 = R;
        double r21613 = r21611 * r21612;
        return r21613;
}

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 r21614, r21615, r21616, r21617, r21618, r21619, r21620, r21621, r21622, r21623, r21624, r21625, r21626, r21627, r21628, r21629, r21630;

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

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21614, phi1, MPFR_RNDN);
        mpfr_sin(r21615, r21614, MPFR_RNDN);
        mpfr_set_d(r21616, phi2, MPFR_RNDN);
        mpfr_sin(r21617, r21616, MPFR_RNDN);
        mpfr_mul(r21618, r21615, r21617, MPFR_RNDN);
        mpfr_cos(r21619, r21614, MPFR_RNDN);
        mpfr_cos(r21620, r21616, MPFR_RNDN);
        mpfr_mul(r21621, r21619, r21620, MPFR_RNDN);
        mpfr_set_d(r21622, lambda1, MPFR_RNDN);
        mpfr_set_d(r21623, lambda2, MPFR_RNDN);
        mpfr_sub(r21624, r21622, r21623, MPFR_RNDN);
        mpfr_cos(r21625, r21624, MPFR_RNDN);
        mpfr_mul(r21626, r21621, r21625, MPFR_RNDN);
        mpfr_add(r21627, r21618, r21626, MPFR_RNDN);
        mpfr_acos(r21628, r21627, MPFR_RNDN);
        mpfr_set_d(r21629, R, MPFR_RNDN);
        mpfr_mul(r21630, r21628, r21629, MPFR_RNDN);
        return mpfr_get_d(r21630, MPFR_RNDN);
}

static mpfr_t r21631, r21632, r21633, r21634, r21635, r21636, r21637, r21638, r21639, r21640, r21641, r21642, r21643, r21644, r21645, r21646, r21647, r21648, r21649, r21650, r21651, r21652, r21653, r21654;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1936);
        mpfr_init(r21631);
        mpfr_init_set_str(r21632, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r21650);
        mpfr_init(r21651);
        mpfr_init(r21652);
        mpfr_init(r21653);
        mpfr_init(r21654);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_const_pi(r21631, MPFR_RNDN);
        ;
        mpfr_div(r21633, r21631, r21632, MPFR_RNDN);
        mpfr_set_d(r21634, lambda2, MPFR_RNDN);
        mpfr_cos(r21635, r21634, MPFR_RNDN);
        mpfr_set_d(r21636, lambda1, MPFR_RNDN);
        mpfr_cos(r21637, r21636, MPFR_RNDN);
        mpfr_sin(r21638, r21634, MPFR_RNDN);
        mpfr_sin(r21639, r21636, MPFR_RNDN);
        mpfr_mul(r21640, r21638, r21639, MPFR_RNDN);
        mpfr_fma(r21641, r21635, r21637, r21640, MPFR_RNDN);
        mpfr_set_d(r21642, phi2, MPFR_RNDN);
        mpfr_cos(r21643, r21642, MPFR_RNDN);
        mpfr_set_d(r21644, phi1, MPFR_RNDN);
        mpfr_cos(r21645, r21644, MPFR_RNDN);
        mpfr_mul(r21646, r21643, r21645, MPFR_RNDN);
        mpfr_sin(r21647, r21642, MPFR_RNDN);
        mpfr_sin(r21648, r21644, MPFR_RNDN);
        mpfr_mul(r21649, r21647, r21648, MPFR_RNDN);
        mpfr_fma(r21650, r21641, r21646, r21649, MPFR_RNDN);
        mpfr_asin(r21651, r21650, MPFR_RNDN);
        mpfr_sub(r21652, r21633, r21651, MPFR_RNDN);
        mpfr_set_d(r21653, R, MPFR_RNDN);
        mpfr_mul(r21654, r21652, r21653, MPFR_RNDN);
        return mpfr_get_d(r21654, MPFR_RNDN);
}

static mpfr_t r21655, r21656, r21657, r21658, r21659, r21660, r21661, r21662, r21663, r21664, r21665, r21666, r21667, r21668, r21669, r21670, r21671, r21672, r21673, r21674, r21675, r21676, r21677, r21678;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1936);
        mpfr_init(r21655);
        mpfr_init_set_str(r21656, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r21675);
        mpfr_init(r21676);
        mpfr_init(r21677);
        mpfr_init(r21678);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_const_pi(r21655, MPFR_RNDN);
        ;
        mpfr_div(r21657, r21655, r21656, MPFR_RNDN);
        mpfr_set_d(r21658, lambda2, MPFR_RNDN);
        mpfr_cos(r21659, r21658, MPFR_RNDN);
        mpfr_set_d(r21660, lambda1, MPFR_RNDN);
        mpfr_cos(r21661, r21660, MPFR_RNDN);
        mpfr_sin(r21662, r21658, MPFR_RNDN);
        mpfr_sin(r21663, r21660, MPFR_RNDN);
        mpfr_mul(r21664, r21662, r21663, MPFR_RNDN);
        mpfr_fma(r21665, r21659, r21661, r21664, MPFR_RNDN);
        mpfr_set_d(r21666, phi2, MPFR_RNDN);
        mpfr_cos(r21667, r21666, MPFR_RNDN);
        mpfr_set_d(r21668, phi1, MPFR_RNDN);
        mpfr_cos(r21669, r21668, MPFR_RNDN);
        mpfr_mul(r21670, r21667, r21669, MPFR_RNDN);
        mpfr_sin(r21671, r21666, MPFR_RNDN);
        mpfr_sin(r21672, r21668, MPFR_RNDN);
        mpfr_mul(r21673, r21671, r21672, MPFR_RNDN);
        mpfr_fma(r21674, r21665, r21670, r21673, MPFR_RNDN);
        mpfr_asin(r21675, r21674, MPFR_RNDN);
        mpfr_sub(r21676, r21657, r21675, MPFR_RNDN);
        mpfr_set_d(r21677, R, MPFR_RNDN);
        mpfr_mul(r21678, r21676, r21677, MPFR_RNDN);
        return mpfr_get_d(r21678, MPFR_RNDN);
}