#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 r21502 = phi1;
        float r21503 = sin(r21502);
        float r21504 = phi2;
        float r21505 = sin(r21504);
        float r21506 = r21503 * r21505;
        float r21507 = cos(r21502);
        float r21508 = cos(r21504);
        float r21509 = r21507 * r21508;
        float r21510 = lambda1;
        float r21511 = lambda2;
        float r21512 = r21510 - r21511;
        float r21513 = cos(r21512);
        float r21514 = r21509 * r21513;
        float r21515 = r21506 + r21514;
        float r21516 = acos(r21515);
        float r21517 = R;
        float r21518 = r21516 * r21517;
        return r21518;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r21519 = phi1;
        double r21520 = sin(r21519);
        double r21521 = phi2;
        double r21522 = sin(r21521);
        double r21523 = r21520 * r21522;
        double r21524 = cos(r21519);
        double r21525 = cos(r21521);
        double r21526 = r21524 * r21525;
        double r21527 = lambda1;
        double r21528 = lambda2;
        double r21529 = r21527 - r21528;
        double r21530 = cos(r21529);
        double r21531 = r21526 * r21530;
        double r21532 = r21523 + r21531;
        double r21533 = acos(r21532);
        double r21534 = R;
        double r21535 = r21533 * r21534;
        return r21535;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r21536 = lambda2;
        float r21537 = sin(r21536);
        float r21538 = lambda1;
        float r21539 = sin(r21538);
        float r21540 = cos(r21536);
        float r21541 = cos(r21538);
        float r21542 = r21540 * r21541;
        float r21543 = fma(r21537, r21539, r21542);
        float r21544 = phi2;
        float r21545 = cos(r21544);
        float r21546 = phi1;
        float r21547 = cos(r21546);
        float r21548 = r21545 * r21547;
        float r21549 = sin(r21544);
        float r21550 = sin(r21546);
        float r21551 = r21549 * r21550;
        float r21552 = fma(r21543, r21548, r21551);
        float r21553 = acos(r21552);
        float r21554 = log(r21553);
        float r21555 = exp(r21554);
        float r21556 = exp(r21555);
        float r21557 = log(r21556);
        float r21558 = R;
        float r21559 = r21557 * r21558;
        return r21559;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r21560 = lambda2;
        double r21561 = sin(r21560);
        double r21562 = lambda1;
        double r21563 = sin(r21562);
        double r21564 = cos(r21560);
        double r21565 = cos(r21562);
        double r21566 = r21564 * r21565;
        double r21567 = fma(r21561, r21563, r21566);
        double r21568 = phi2;
        double r21569 = cos(r21568);
        double r21570 = phi1;
        double r21571 = cos(r21570);
        double r21572 = r21569 * r21571;
        double r21573 = sin(r21568);
        double r21574 = sin(r21570);
        double r21575 = r21573 * r21574;
        double r21576 = fma(r21567, r21572, r21575);
        double r21577 = acos(r21576);
        double r21578 = log(r21577);
        double r21579 = exp(r21578);
        double r21580 = exp(r21579);
        double r21581 = log(r21580);
        double r21582 = R;
        double r21583 = r21581 * r21582;
        return r21583;
}

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 r21584, r21585, r21586, r21587, r21588, r21589, r21590, r21591, r21592, r21593, r21594, r21595, r21596, r21597, r21598, r21599, r21600;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2128);
        mpfr_init(r21584);
        mpfr_init(r21585);
        mpfr_init(r21586);
        mpfr_init(r21587);
        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);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21584, phi1, MPFR_RNDN);
        mpfr_sin(r21585, r21584, MPFR_RNDN);
        mpfr_set_d(r21586, phi2, MPFR_RNDN);
        mpfr_sin(r21587, r21586, MPFR_RNDN);
        mpfr_mul(r21588, r21585, r21587, MPFR_RNDN);
        mpfr_cos(r21589, r21584, MPFR_RNDN);
        mpfr_cos(r21590, r21586, MPFR_RNDN);
        mpfr_mul(r21591, r21589, r21590, MPFR_RNDN);
        mpfr_set_d(r21592, lambda1, MPFR_RNDN);
        mpfr_set_d(r21593, lambda2, MPFR_RNDN);
        mpfr_sub(r21594, r21592, r21593, MPFR_RNDN);
        mpfr_cos(r21595, r21594, MPFR_RNDN);
        mpfr_mul(r21596, r21591, r21595, MPFR_RNDN);
        mpfr_add(r21597, r21588, r21596, MPFR_RNDN);
        mpfr_acos(r21598, r21597, MPFR_RNDN);
        mpfr_set_d(r21599, R, MPFR_RNDN);
        mpfr_mul(r21600, r21598, r21599, MPFR_RNDN);
        return mpfr_get_d(r21600, MPFR_RNDN);
}

static mpfr_t r21601, r21602, r21603, r21604, r21605, r21606, r21607, r21608, r21609, r21610, r21611, r21612, r21613, r21614, r21615, r21616, r21617, r21618, r21619, r21620, r21621, r21622, r21623, r21624;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2128);
        mpfr_init(r21601);
        mpfr_init(r21602);
        mpfr_init(r21603);
        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);
        mpfr_init(r21621);
        mpfr_init(r21622);
        mpfr_init(r21623);
        mpfr_init(r21624);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21601, lambda2, MPFR_RNDN);
        mpfr_sin(r21602, r21601, MPFR_RNDN);
        mpfr_set_d(r21603, lambda1, MPFR_RNDN);
        mpfr_sin(r21604, r21603, MPFR_RNDN);
        mpfr_cos(r21605, r21601, MPFR_RNDN);
        mpfr_cos(r21606, r21603, MPFR_RNDN);
        mpfr_mul(r21607, r21605, r21606, MPFR_RNDN);
        mpfr_fma(r21608, r21602, r21604, r21607, MPFR_RNDN);
        mpfr_set_d(r21609, phi2, MPFR_RNDN);
        mpfr_cos(r21610, r21609, MPFR_RNDN);
        mpfr_set_d(r21611, phi1, MPFR_RNDN);
        mpfr_cos(r21612, r21611, MPFR_RNDN);
        mpfr_mul(r21613, r21610, r21612, MPFR_RNDN);
        mpfr_sin(r21614, r21609, MPFR_RNDN);
        mpfr_sin(r21615, r21611, MPFR_RNDN);
        mpfr_mul(r21616, r21614, r21615, MPFR_RNDN);
        mpfr_fma(r21617, r21608, r21613, r21616, MPFR_RNDN);
        mpfr_acos(r21618, r21617, MPFR_RNDN);
        mpfr_log(r21619, r21618, MPFR_RNDN);
        mpfr_exp(r21620, r21619, MPFR_RNDN);
        mpfr_exp(r21621, r21620, MPFR_RNDN);
        mpfr_log(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;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2128);
        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);
}

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

