#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 r21511 = phi1;
        float r21512 = sin(r21511);
        float r21513 = phi2;
        float r21514 = sin(r21513);
        float r21515 = r21512 * r21514;
        float r21516 = cos(r21511);
        float r21517 = cos(r21513);
        float r21518 = r21516 * r21517;
        float r21519 = lambda1;
        float r21520 = lambda2;
        float r21521 = r21519 - r21520;
        float r21522 = cos(r21521);
        float r21523 = r21518 * r21522;
        float r21524 = r21515 + r21523;
        float r21525 = acos(r21524);
        float r21526 = R;
        float r21527 = r21525 * r21526;
        return r21527;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r21528 = phi1;
        double r21529 = sin(r21528);
        double r21530 = phi2;
        double r21531 = sin(r21530);
        double r21532 = r21529 * r21531;
        double r21533 = cos(r21528);
        double r21534 = cos(r21530);
        double r21535 = r21533 * r21534;
        double r21536 = lambda1;
        double r21537 = lambda2;
        double r21538 = r21536 - r21537;
        double r21539 = cos(r21538);
        double r21540 = r21535 * r21539;
        double r21541 = r21532 + r21540;
        double r21542 = acos(r21541);
        double r21543 = R;
        double r21544 = r21542 * r21543;
        return r21544;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r21545 = lambda1;
        float r21546 = cos(r21545);
        float r21547 = lambda2;
        float r21548 = cos(r21547);
        float r21549 = sin(r21545);
        float r21550 = sin(r21547);
        float r21551 = r21549 * r21550;
        float r21552 = fma(r21546, r21548, r21551);
        float r21553 = phi1;
        float r21554 = cos(r21553);
        float r21555 = phi2;
        float r21556 = cos(r21555);
        float r21557 = r21554 * r21556;
        float r21558 = sin(r21553);
        float r21559 = sin(r21555);
        float r21560 = r21558 * r21559;
        float r21561 = fma(r21552, r21557, r21560);
        float r21562 = expm1(r21561);
        float r21563 = log1p(r21562);
        float r21564 = acos(r21563);
        float r21565 = R;
        float r21566 = r21564 * r21565;
        return r21566;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r21567 = lambda1;
        double r21568 = cos(r21567);
        double r21569 = lambda2;
        double r21570 = cos(r21569);
        double r21571 = sin(r21567);
        double r21572 = sin(r21569);
        double r21573 = r21571 * r21572;
        double r21574 = fma(r21568, r21570, r21573);
        double r21575 = phi1;
        double r21576 = cos(r21575);
        double r21577 = phi2;
        double r21578 = cos(r21577);
        double r21579 = r21576 * r21578;
        double r21580 = sin(r21575);
        double r21581 = sin(r21577);
        double r21582 = r21580 * r21581;
        double r21583 = fma(r21574, r21579, r21582);
        double r21584 = expm1(r21583);
        double r21585 = log1p(r21584);
        double r21586 = acos(r21585);
        double r21587 = R;
        double r21588 = r21586 * r21587;
        return r21588;
}

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 r21589, r21590, r21591, r21592, r21593, r21594, r21595, r21596, r21597, r21598, r21599, r21600, r21601, r21602, r21603, r21604, r21605;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2128);
        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);
        mpfr_init(r21605);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21589, phi1, MPFR_RNDN);
        mpfr_sin(r21590, r21589, MPFR_RNDN);
        mpfr_set_d(r21591, phi2, MPFR_RNDN);
        mpfr_sin(r21592, r21591, MPFR_RNDN);
        mpfr_mul(r21593, r21590, r21592, MPFR_RNDN);
        mpfr_cos(r21594, r21589, MPFR_RNDN);
        mpfr_cos(r21595, r21591, MPFR_RNDN);
        mpfr_mul(r21596, r21594, r21595, MPFR_RNDN);
        mpfr_set_d(r21597, lambda1, MPFR_RNDN);
        mpfr_set_d(r21598, lambda2, MPFR_RNDN);
        mpfr_sub(r21599, r21597, r21598, MPFR_RNDN);
        mpfr_cos(r21600, r21599, MPFR_RNDN);
        mpfr_mul(r21601, r21596, r21600, MPFR_RNDN);
        mpfr_add(r21602, r21593, r21601, MPFR_RNDN);
        mpfr_acos(r21603, r21602, MPFR_RNDN);
        mpfr_set_d(r21604, R, MPFR_RNDN);
        mpfr_mul(r21605, r21603, r21604, MPFR_RNDN);
        return mpfr_get_d(r21605, MPFR_RNDN);
}

static mpfr_t r21606, r21607, r21608, r21609, r21610, r21611, r21612, r21613, r21614, r21615, r21616, r21617, r21618, r21619, r21620, r21621, r21622, r21623, r21624, r21625, r21626, r21627;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2128);
        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);
        mpfr_init(r21621);
        mpfr_init(r21622);
        mpfr_init(r21623);
        mpfr_init(r21624);
        mpfr_init(r21625);
        mpfr_init(r21626);
        mpfr_init(r21627);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21606, lambda1, MPFR_RNDN);
        mpfr_cos(r21607, r21606, MPFR_RNDN);
        mpfr_set_d(r21608, lambda2, MPFR_RNDN);
        mpfr_cos(r21609, r21608, MPFR_RNDN);
        mpfr_sin(r21610, r21606, MPFR_RNDN);
        mpfr_sin(r21611, r21608, MPFR_RNDN);
        mpfr_mul(r21612, r21610, r21611, MPFR_RNDN);
        mpfr_fma(r21613, r21607, r21609, r21612, MPFR_RNDN);
        mpfr_set_d(r21614, phi1, MPFR_RNDN);
        mpfr_cos(r21615, r21614, MPFR_RNDN);
        mpfr_set_d(r21616, phi2, MPFR_RNDN);
        mpfr_cos(r21617, r21616, MPFR_RNDN);
        mpfr_mul(r21618, r21615, r21617, MPFR_RNDN);
        mpfr_sin(r21619, r21614, MPFR_RNDN);
        mpfr_sin(r21620, r21616, MPFR_RNDN);
        mpfr_mul(r21621, r21619, r21620, MPFR_RNDN);
        mpfr_fma(r21622, r21613, r21618, r21621, MPFR_RNDN);
        mpfr_expm1(r21623, r21622, MPFR_RNDN);
        mpfr_log1p(r21624, r21623, MPFR_RNDN);
        mpfr_acos(r21625, r21624, MPFR_RNDN);
        mpfr_set_d(r21626, R, MPFR_RNDN);
        mpfr_mul(r21627, r21625, r21626, MPFR_RNDN);
        return mpfr_get_d(r21627, MPFR_RNDN);
}

static mpfr_t 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_dm() {
        mpfr_set_default_prec(2128);
        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_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21628, lambda1, MPFR_RNDN);
        mpfr_cos(r21629, r21628, MPFR_RNDN);
        mpfr_set_d(r21630, lambda2, MPFR_RNDN);
        mpfr_cos(r21631, r21630, MPFR_RNDN);
        mpfr_sin(r21632, r21628, MPFR_RNDN);
        mpfr_sin(r21633, r21630, MPFR_RNDN);
        mpfr_mul(r21634, r21632, r21633, MPFR_RNDN);
        mpfr_fma(r21635, r21629, r21631, r21634, MPFR_RNDN);
        mpfr_set_d(r21636, phi1, MPFR_RNDN);
        mpfr_cos(r21637, r21636, MPFR_RNDN);
        mpfr_set_d(r21638, phi2, MPFR_RNDN);
        mpfr_cos(r21639, r21638, MPFR_RNDN);
        mpfr_mul(r21640, r21637, r21639, MPFR_RNDN);
        mpfr_sin(r21641, r21636, MPFR_RNDN);
        mpfr_sin(r21642, r21638, MPFR_RNDN);
        mpfr_mul(r21643, r21641, r21642, MPFR_RNDN);
        mpfr_fma(r21644, r21635, r21640, r21643, MPFR_RNDN);
        mpfr_expm1(r21645, r21644, MPFR_RNDN);
        mpfr_log1p(r21646, 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);
}

