#include <tgmath.h>
#include <gmp.h>
#include <mpfr.h>
#include <stdio.h>
#include <stdbool.h>

char *name = "Distance on a great circle";

double f_if(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r23392 = R;
        float r23393 = 2;
        float r23394 = phi1;
        float r23395 = phi2;
        float r23396 = r23394 - r23395;
        float r23397 = r23396 / r23393;
        float r23398 = sin(r23397);
        float r23399 = pow(r23398, r23393);
        float r23400 = cos(r23394);
        float r23401 = cos(r23395);
        float r23402 = r23400 * r23401;
        float r23403 = lambda1;
        float r23404 = lambda2;
        float r23405 = r23403 - r23404;
        float r23406 = r23405 / r23393;
        float r23407 = sin(r23406);
        float r23408 = r23402 * r23407;
        float r23409 = r23408 * r23407;
        float r23410 = r23399 + r23409;
        float r23411 = sqrt(r23410);
        float r23412 = 1;
        float r23413 = r23412 - r23410;
        float r23414 = sqrt(r23413);
        float r23415 = atan2(r23411, r23414);
        float r23416 = r23393 * r23415;
        float r23417 = r23392 * r23416;
        return r23417;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r23418 = R;
        double r23419 = 2;
        double r23420 = phi1;
        double r23421 = phi2;
        double r23422 = r23420 - r23421;
        double r23423 = r23422 / r23419;
        double r23424 = sin(r23423);
        double r23425 = pow(r23424, r23419);
        double r23426 = cos(r23420);
        double r23427 = cos(r23421);
        double r23428 = r23426 * r23427;
        double r23429 = lambda1;
        double r23430 = lambda2;
        double r23431 = r23429 - r23430;
        double r23432 = r23431 / r23419;
        double r23433 = sin(r23432);
        double r23434 = r23428 * r23433;
        double r23435 = r23434 * r23433;
        double r23436 = r23425 + r23435;
        double r23437 = sqrt(r23436);
        double r23438 = 1;
        double r23439 = r23438 - r23436;
        double r23440 = sqrt(r23439);
        double r23441 = atan2(r23437, r23440);
        double r23442 = r23419 * r23441;
        double r23443 = r23418 * r23442;
        return r23443;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r23444 = R;
        float r23445 = 2;
        float r23446 = phi1;
        float r23447 = r23446 / r23445;
        float r23448 = sin(r23447);
        float r23449 = phi2;
        float r23450 = r23449 / r23445;
        float r23451 = cos(r23450);
        float r23452 = r23448 * r23451;
        float r23453 = cos(r23447);
        float r23454 = sin(r23450);
        float r23455 = r23453 * r23454;
        float r23456 = r23452 - r23455;
        float r23457 = pow(r23456, r23445);
        float r23458 = cos(r23446);
        float r23459 = cos(r23449);
        float r23460 = r23458 * r23459;
        float r23461 = lambda1;
        float r23462 = lambda2;
        float r23463 = r23461 - r23462;
        float r23464 = r23463 / r23445;
        float r23465 = sin(r23464);
        float r23466 = r23460 * r23465;
        float r23467 = 3;
        float r23468 = pow(r23465, r23467);
        float r23469 = cbrt(r23468);
        float r23470 = r23466 * r23469;
        float r23471 = r23457 + r23470;
        float r23472 = sqrt(r23471);
        float r23473 = 1;
        float r23474 = r23466 * r23465;
        float r23475 = r23457 + r23474;
        float r23476 = r23473 - r23475;
        float r23477 = sqrt(r23476);
        float r23478 = atan2(r23472, r23477);
        float r23479 = r23445 * r23478;
        float r23480 = r23444 * r23479;
        return r23480;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r23481 = R;
        double r23482 = 2;
        double r23483 = phi1;
        double r23484 = r23483 / r23482;
        double r23485 = sin(r23484);
        double r23486 = phi2;
        double r23487 = r23486 / r23482;
        double r23488 = cos(r23487);
        double r23489 = r23485 * r23488;
        double r23490 = cos(r23484);
        double r23491 = sin(r23487);
        double r23492 = r23490 * r23491;
        double r23493 = r23489 - r23492;
        double r23494 = pow(r23493, r23482);
        double r23495 = cos(r23483);
        double r23496 = cos(r23486);
        double r23497 = r23495 * r23496;
        double r23498 = lambda1;
        double r23499 = lambda2;
        double r23500 = r23498 - r23499;
        double r23501 = r23500 / r23482;
        double r23502 = sin(r23501);
        double r23503 = r23497 * r23502;
        double r23504 = 3;
        double r23505 = pow(r23502, r23504);
        double r23506 = cbrt(r23505);
        double r23507 = r23503 * r23506;
        double r23508 = r23494 + r23507;
        double r23509 = sqrt(r23508);
        double r23510 = 1;
        double r23511 = r23503 * r23502;
        double r23512 = r23494 + r23511;
        double r23513 = r23510 - r23512;
        double r23514 = sqrt(r23513);
        double r23515 = atan2(r23509, r23514);
        double r23516 = r23482 * r23515;
        double r23517 = r23481 * r23516;
        return r23517;
}

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 r23518, r23519, r23520, r23521, r23522, r23523, r23524, r23525, r23526, r23527, r23528, r23529, r23530, r23531, r23532, r23533, r23534, r23535, r23536, r23537, r23538, r23539, r23540, r23541, r23542, r23543;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23518);
        mpfr_init_set_str(r23519, "2", 10, MPFR_RNDN);
        mpfr_init(r23520);
        mpfr_init(r23521);
        mpfr_init(r23522);
        mpfr_init(r23523);
        mpfr_init(r23524);
        mpfr_init(r23525);
        mpfr_init(r23526);
        mpfr_init(r23527);
        mpfr_init(r23528);
        mpfr_init(r23529);
        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_set_str(r23538, "1", 10, MPFR_RNDN);
        mpfr_init(r23539);
        mpfr_init(r23540);
        mpfr_init(r23541);
        mpfr_init(r23542);
        mpfr_init(r23543);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r23518, R, MPFR_RNDN);
        ;
        mpfr_set_d(r23520, phi1, MPFR_RNDN);
        mpfr_set_d(r23521, phi2, MPFR_RNDN);
        mpfr_sub(r23522, r23520, r23521, MPFR_RNDN);
        mpfr_div(r23523, r23522, r23519, MPFR_RNDN);
        mpfr_sin(r23524, r23523, MPFR_RNDN);
        mpfr_pow(r23525, r23524, r23519, MPFR_RNDN);
        mpfr_cos(r23526, r23520, MPFR_RNDN);
        mpfr_cos(r23527, r23521, MPFR_RNDN);
        mpfr_mul(r23528, r23526, r23527, MPFR_RNDN);
        mpfr_set_d(r23529, lambda1, MPFR_RNDN);
        mpfr_set_d(r23530, lambda2, MPFR_RNDN);
        mpfr_sub(r23531, r23529, r23530, MPFR_RNDN);
        mpfr_div(r23532, r23531, r23519, MPFR_RNDN);
        mpfr_sin(r23533, r23532, MPFR_RNDN);
        mpfr_mul(r23534, r23528, r23533, MPFR_RNDN);
        mpfr_mul(r23535, r23534, r23533, MPFR_RNDN);
        mpfr_add(r23536, r23525, r23535, MPFR_RNDN);
        mpfr_sqrt(r23537, r23536, MPFR_RNDN);
        ;
        mpfr_sub(r23539, r23538, r23536, MPFR_RNDN);
        mpfr_sqrt(r23540, r23539, MPFR_RNDN);
        mpfr_atan2(r23541, r23537, r23540, MPFR_RNDN);
        mpfr_mul(r23542, r23519, r23541, MPFR_RNDN);
        mpfr_mul(r23543, r23518, r23542, MPFR_RNDN);
        return mpfr_get_d(r23543, MPFR_RNDN);
}

static mpfr_t r23544, r23545, r23546, 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, r23574, r23575, r23576, r23577, r23578, r23579, r23580;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23544);
        mpfr_init_set_str(r23545, "2", 10, MPFR_RNDN);
        mpfr_init(r23546);
        mpfr_init(r23547);
        mpfr_init(r23548);
        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_set_str(r23567, "3", 10, MPFR_RNDN);
        mpfr_init(r23568);
        mpfr_init(r23569);
        mpfr_init(r23570);
        mpfr_init(r23571);
        mpfr_init(r23572);
        mpfr_init_set_str(r23573, "1", 10, MPFR_RNDN);
        mpfr_init(r23574);
        mpfr_init(r23575);
        mpfr_init(r23576);
        mpfr_init(r23577);
        mpfr_init(r23578);
        mpfr_init(r23579);
        mpfr_init(r23580);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r23544, R, MPFR_RNDN);
        ;
        mpfr_set_d(r23546, phi1, MPFR_RNDN);
        mpfr_div(r23547, r23546, r23545, MPFR_RNDN);
        mpfr_sin(r23548, r23547, MPFR_RNDN);
        mpfr_set_d(r23549, phi2, MPFR_RNDN);
        mpfr_div(r23550, r23549, r23545, MPFR_RNDN);
        mpfr_cos(r23551, r23550, MPFR_RNDN);
        mpfr_mul(r23552, r23548, r23551, MPFR_RNDN);
        mpfr_cos(r23553, r23547, MPFR_RNDN);
        mpfr_sin(r23554, r23550, MPFR_RNDN);
        mpfr_mul(r23555, r23553, r23554, MPFR_RNDN);
        mpfr_sub(r23556, r23552, r23555, MPFR_RNDN);
        mpfr_pow(r23557, r23556, r23545, MPFR_RNDN);
        mpfr_cos(r23558, r23546, MPFR_RNDN);
        mpfr_cos(r23559, r23549, MPFR_RNDN);
        mpfr_mul(r23560, r23558, r23559, MPFR_RNDN);
        mpfr_set_d(r23561, lambda1, MPFR_RNDN);
        mpfr_set_d(r23562, lambda2, MPFR_RNDN);
        mpfr_sub(r23563, r23561, r23562, MPFR_RNDN);
        mpfr_div(r23564, r23563, r23545, MPFR_RNDN);
        mpfr_sin(r23565, r23564, MPFR_RNDN);
        mpfr_mul(r23566, r23560, r23565, MPFR_RNDN);
        ;
        mpfr_pow(r23568, r23565, r23567, MPFR_RNDN);
        mpfr_cbrt(r23569, r23568, MPFR_RNDN);
        mpfr_mul(r23570, r23566, r23569, MPFR_RNDN);
        mpfr_add(r23571, r23557, r23570, MPFR_RNDN);
        mpfr_sqrt(r23572, r23571, MPFR_RNDN);
        ;
        mpfr_mul(r23574, r23566, r23565, MPFR_RNDN);
        mpfr_add(r23575, r23557, r23574, MPFR_RNDN);
        mpfr_sub(r23576, r23573, r23575, MPFR_RNDN);
        mpfr_sqrt(r23577, r23576, MPFR_RNDN);
        mpfr_atan2(r23578, r23572, r23577, MPFR_RNDN);
        mpfr_mul(r23579, r23545, r23578, MPFR_RNDN);
        mpfr_mul(r23580, r23544, r23579, MPFR_RNDN);
        return mpfr_get_d(r23580, MPFR_RNDN);
}

static mpfr_t r23581, r23582, r23583, r23584, r23585, r23586, r23587, r23588, r23589, r23590, r23591, r23592, r23593, r23594, r23595, r23596, r23597, r23598, r23599, r23600, r23601, r23602, r23603, r23604, r23605, r23606, r23607, r23608, r23609, r23610, r23611, r23612, r23613, r23614, r23615, r23616, r23617;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23581);
        mpfr_init_set_str(r23582, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r23601);
        mpfr_init(r23602);
        mpfr_init(r23603);
        mpfr_init_set_str(r23604, "3", 10, MPFR_RNDN);
        mpfr_init(r23605);
        mpfr_init(r23606);
        mpfr_init(r23607);
        mpfr_init(r23608);
        mpfr_init(r23609);
        mpfr_init_set_str(r23610, "1", 10, MPFR_RNDN);
        mpfr_init(r23611);
        mpfr_init(r23612);
        mpfr_init(r23613);
        mpfr_init(r23614);
        mpfr_init(r23615);
        mpfr_init(r23616);
        mpfr_init(r23617);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r23581, R, MPFR_RNDN);
        ;
        mpfr_set_d(r23583, phi1, MPFR_RNDN);
        mpfr_div(r23584, r23583, r23582, MPFR_RNDN);
        mpfr_sin(r23585, r23584, MPFR_RNDN);
        mpfr_set_d(r23586, phi2, MPFR_RNDN);
        mpfr_div(r23587, r23586, r23582, MPFR_RNDN);
        mpfr_cos(r23588, r23587, MPFR_RNDN);
        mpfr_mul(r23589, r23585, r23588, MPFR_RNDN);
        mpfr_cos(r23590, r23584, MPFR_RNDN);
        mpfr_sin(r23591, r23587, MPFR_RNDN);
        mpfr_mul(r23592, r23590, r23591, MPFR_RNDN);
        mpfr_sub(r23593, r23589, r23592, MPFR_RNDN);
        mpfr_pow(r23594, r23593, r23582, MPFR_RNDN);
        mpfr_cos(r23595, r23583, MPFR_RNDN);
        mpfr_cos(r23596, r23586, MPFR_RNDN);
        mpfr_mul(r23597, r23595, r23596, MPFR_RNDN);
        mpfr_set_d(r23598, lambda1, MPFR_RNDN);
        mpfr_set_d(r23599, lambda2, MPFR_RNDN);
        mpfr_sub(r23600, r23598, r23599, MPFR_RNDN);
        mpfr_div(r23601, r23600, r23582, MPFR_RNDN);
        mpfr_sin(r23602, r23601, MPFR_RNDN);
        mpfr_mul(r23603, r23597, r23602, MPFR_RNDN);
        ;
        mpfr_pow(r23605, r23602, r23604, MPFR_RNDN);
        mpfr_cbrt(r23606, r23605, MPFR_RNDN);
        mpfr_mul(r23607, r23603, r23606, MPFR_RNDN);
        mpfr_add(r23608, r23594, r23607, MPFR_RNDN);
        mpfr_sqrt(r23609, r23608, MPFR_RNDN);
        ;
        mpfr_mul(r23611, r23603, r23602, MPFR_RNDN);
        mpfr_add(r23612, r23594, r23611, MPFR_RNDN);
        mpfr_sub(r23613, r23610, r23612, MPFR_RNDN);
        mpfr_sqrt(r23614, r23613, MPFR_RNDN);
        mpfr_atan2(r23615, r23609, r23614, MPFR_RNDN);
        mpfr_mul(r23616, r23582, r23615, MPFR_RNDN);
        mpfr_mul(r23617, r23581, r23616, MPFR_RNDN);
        return mpfr_get_d(r23617, MPFR_RNDN);
}