#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 r23442 = phi1;
        float r23443 = sin(r23442);
        float r23444 = phi2;
        float r23445 = sin(r23444);
        float r23446 = r23443 * r23445;
        float r23447 = cos(r23442);
        float r23448 = cos(r23444);
        float r23449 = r23447 * r23448;
        float r23450 = lambda1;
        float r23451 = lambda2;
        float r23452 = r23450 - r23451;
        float r23453 = cos(r23452);
        float r23454 = r23449 * r23453;
        float r23455 = r23446 + r23454;
        float r23456 = acos(r23455);
        float r23457 = R;
        float r23458 = r23456 * r23457;
        return r23458;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r23459 = phi1;
        double r23460 = sin(r23459);
        double r23461 = phi2;
        double r23462 = sin(r23461);
        double r23463 = r23460 * r23462;
        double r23464 = cos(r23459);
        double r23465 = cos(r23461);
        double r23466 = r23464 * r23465;
        double r23467 = lambda1;
        double r23468 = lambda2;
        double r23469 = r23467 - r23468;
        double r23470 = cos(r23469);
        double r23471 = r23466 * r23470;
        double r23472 = r23463 + r23471;
        double r23473 = acos(r23472);
        double r23474 = R;
        double r23475 = r23473 * r23474;
        return r23475;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r23476 = atan2(1.0, 0.0);
        float r23477 = 2.0f;
        float r23478 = r23476 / r23477;
        float r23479 = phi1;
        float r23480 = sin(r23479);
        float r23481 = phi2;
        float r23482 = sin(r23481);
        float r23483 = r23480 * r23482;
        float r23484 = cos(r23479);
        float r23485 = cos(r23481);
        float r23486 = r23484 * r23485;
        float r23487 = lambda2;
        float r23488 = cos(r23487);
        float r23489 = lambda1;
        float r23490 = cos(r23489);
        float r23491 = r23488 * r23490;
        float r23492 = sin(r23489);
        float r23493 = -r23487;
        float r23494 = sin(r23493);
        float r23495 = r23492 * r23494;
        float r23496 = r23491 - r23495;
        float r23497 = r23486 * r23496;
        float r23498 = r23483 + r23497;
        float r23499 = asin(r23498);
        float r23500 = r23478 - r23499;
        float r23501 = R;
        float r23502 = r23500 * r23501;
        return r23502;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r23503 = atan2(1.0, 0.0);
        double r23504 = 2.0;
        double r23505 = r23503 / r23504;
        double r23506 = phi1;
        double r23507 = sin(r23506);
        double r23508 = phi2;
        double r23509 = sin(r23508);
        double r23510 = r23507 * r23509;
        double r23511 = cos(r23506);
        double r23512 = cos(r23508);
        double r23513 = r23511 * r23512;
        double r23514 = lambda2;
        double r23515 = cos(r23514);
        double r23516 = lambda1;
        double r23517 = cos(r23516);
        double r23518 = r23515 * r23517;
        double r23519 = sin(r23516);
        double r23520 = -r23514;
        double r23521 = sin(r23520);
        double r23522 = r23519 * r23521;
        double r23523 = r23518 - r23522;
        double r23524 = r23513 * r23523;
        double r23525 = r23510 + r23524;
        double r23526 = asin(r23525);
        double r23527 = r23505 - r23526;
        double r23528 = R;
        double r23529 = r23527 * r23528;
        return r23529;
}

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 r23530, r23531, r23532, r23533, r23534, r23535, r23536, r23537, r23538, r23539, r23540, r23541, r23542, r23543, r23544, r23545, r23546;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r23530);
        mpfr_init(r23531);
        mpfr_init(r23532);
        mpfr_init(r23533);
        mpfr_init(r23534);
        mpfr_init(r23535);
        mpfr_init(r23536);
        mpfr_init(r23537);
        mpfr_init(r23538);
        mpfr_init(r23539);
        mpfr_init(r23540);
        mpfr_init(r23541);
        mpfr_init(r23542);
        mpfr_init(r23543);
        mpfr_init(r23544);
        mpfr_init(r23545);
        mpfr_init(r23546);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r23530, phi1, MPFR_RNDN);
        mpfr_sin(r23531, r23530, MPFR_RNDN);
        mpfr_set_d(r23532, phi2, MPFR_RNDN);
        mpfr_sin(r23533, r23532, MPFR_RNDN);
        mpfr_mul(r23534, r23531, r23533, MPFR_RNDN);
        mpfr_cos(r23535, r23530, MPFR_RNDN);
        mpfr_cos(r23536, r23532, MPFR_RNDN);
        mpfr_mul(r23537, r23535, r23536, MPFR_RNDN);
        mpfr_set_d(r23538, lambda1, MPFR_RNDN);
        mpfr_set_d(r23539, lambda2, MPFR_RNDN);
        mpfr_sub(r23540, r23538, r23539, MPFR_RNDN);
        mpfr_cos(r23541, r23540, MPFR_RNDN);
        mpfr_mul(r23542, r23537, r23541, MPFR_RNDN);
        mpfr_add(r23543, r23534, r23542, MPFR_RNDN);
        mpfr_acos(r23544, r23543, MPFR_RNDN);
        mpfr_set_d(r23545, R, MPFR_RNDN);
        mpfr_mul(r23546, r23544, r23545, MPFR_RNDN);
        return mpfr_get_d(r23546, MPFR_RNDN);
}

static mpfr_t r23547, r23548, r23549, r23550, r23551, r23552, r23553, r23554, r23555, r23556, r23557, r23558, r23559, r23560, r23561, r23562, r23563, r23564, r23565, r23566, r23567, r23568, r23569, r23570, r23571, r23572, r23573;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r23547);
        mpfr_init_set_str(r23548, "2", 10, MPFR_RNDN);
        mpfr_init(r23549);
        mpfr_init(r23550);
        mpfr_init(r23551);
        mpfr_init(r23552);
        mpfr_init(r23553);
        mpfr_init(r23554);
        mpfr_init(r23555);
        mpfr_init(r23556);
        mpfr_init(r23557);
        mpfr_init(r23558);
        mpfr_init(r23559);
        mpfr_init(r23560);
        mpfr_init(r23561);
        mpfr_init(r23562);
        mpfr_init(r23563);
        mpfr_init(r23564);
        mpfr_init(r23565);
        mpfr_init(r23566);
        mpfr_init(r23567);
        mpfr_init(r23568);
        mpfr_init(r23569);
        mpfr_init(r23570);
        mpfr_init(r23571);
        mpfr_init(r23572);
        mpfr_init(r23573);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_const_pi(r23547, MPFR_RNDN);
        ;
        mpfr_div(r23549, r23547, r23548, MPFR_RNDN);
        mpfr_set_d(r23550, phi1, MPFR_RNDN);
        mpfr_sin(r23551, r23550, MPFR_RNDN);
        mpfr_set_d(r23552, phi2, MPFR_RNDN);
        mpfr_sin(r23553, r23552, MPFR_RNDN);
        mpfr_mul(r23554, r23551, r23553, MPFR_RNDN);
        mpfr_cos(r23555, r23550, MPFR_RNDN);
        mpfr_cos(r23556, r23552, MPFR_RNDN);
        mpfr_mul(r23557, r23555, r23556, MPFR_RNDN);
        mpfr_set_d(r23558, lambda2, MPFR_RNDN);
        mpfr_cos(r23559, r23558, MPFR_RNDN);
        mpfr_set_d(r23560, lambda1, MPFR_RNDN);
        mpfr_cos(r23561, r23560, MPFR_RNDN);
        mpfr_mul(r23562, r23559, r23561, MPFR_RNDN);
        mpfr_sin(r23563, r23560, MPFR_RNDN);
        mpfr_neg(r23564, r23558, MPFR_RNDN);
        mpfr_sin(r23565, r23564, MPFR_RNDN);
        mpfr_mul(r23566, r23563, r23565, MPFR_RNDN);
        mpfr_sub(r23567, r23562, r23566, MPFR_RNDN);
        mpfr_mul(r23568, r23557, r23567, MPFR_RNDN);
        mpfr_add(r23569, r23554, r23568, MPFR_RNDN);
        mpfr_asin(r23570, r23569, MPFR_RNDN);
        mpfr_sub(r23571, r23549, r23570, MPFR_RNDN);
        mpfr_set_d(r23572, R, MPFR_RNDN);
        mpfr_mul(r23573, r23571, r23572, MPFR_RNDN);
        return mpfr_get_d(r23573, MPFR_RNDN);
}

static mpfr_t r23574, r23575, r23576, r23577, r23578, r23579, r23580, r23581, r23582, r23583, r23584, r23585, r23586, r23587, r23588, r23589, r23590, r23591, r23592, r23593, r23594, r23595, r23596, r23597, r23598, r23599, r23600;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r23574);
        mpfr_init_set_str(r23575, "2", 10, MPFR_RNDN);
        mpfr_init(r23576);
        mpfr_init(r23577);
        mpfr_init(r23578);
        mpfr_init(r23579);
        mpfr_init(r23580);
        mpfr_init(r23581);
        mpfr_init(r23582);
        mpfr_init(r23583);
        mpfr_init(r23584);
        mpfr_init(r23585);
        mpfr_init(r23586);
        mpfr_init(r23587);
        mpfr_init(r23588);
        mpfr_init(r23589);
        mpfr_init(r23590);
        mpfr_init(r23591);
        mpfr_init(r23592);
        mpfr_init(r23593);
        mpfr_init(r23594);
        mpfr_init(r23595);
        mpfr_init(r23596);
        mpfr_init(r23597);
        mpfr_init(r23598);
        mpfr_init(r23599);
        mpfr_init(r23600);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_const_pi(r23574, MPFR_RNDN);
        ;
        mpfr_div(r23576, r23574, r23575, MPFR_RNDN);
        mpfr_set_d(r23577, phi1, MPFR_RNDN);
        mpfr_sin(r23578, r23577, MPFR_RNDN);
        mpfr_set_d(r23579, phi2, MPFR_RNDN);
        mpfr_sin(r23580, r23579, MPFR_RNDN);
        mpfr_mul(r23581, r23578, r23580, MPFR_RNDN);
        mpfr_cos(r23582, r23577, MPFR_RNDN);
        mpfr_cos(r23583, r23579, MPFR_RNDN);
        mpfr_mul(r23584, r23582, r23583, MPFR_RNDN);
        mpfr_set_d(r23585, lambda2, MPFR_RNDN);
        mpfr_cos(r23586, r23585, MPFR_RNDN);
        mpfr_set_d(r23587, lambda1, MPFR_RNDN);
        mpfr_cos(r23588, r23587, MPFR_RNDN);
        mpfr_mul(r23589, r23586, r23588, MPFR_RNDN);
        mpfr_sin(r23590, r23587, MPFR_RNDN);
        mpfr_neg(r23591, r23585, MPFR_RNDN);
        mpfr_sin(r23592, r23591, MPFR_RNDN);
        mpfr_mul(r23593, r23590, r23592, MPFR_RNDN);
        mpfr_sub(r23594, r23589, r23593, MPFR_RNDN);
        mpfr_mul(r23595, r23584, r23594, MPFR_RNDN);
        mpfr_add(r23596, r23581, r23595, MPFR_RNDN);
        mpfr_asin(r23597, r23596, MPFR_RNDN);
        mpfr_sub(r23598, r23576, r23597, MPFR_RNDN);
        mpfr_set_d(r23599, R, MPFR_RNDN);
        mpfr_mul(r23600, r23598, r23599, MPFR_RNDN);
        return mpfr_get_d(r23600, MPFR_RNDN);
}