#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 r22289 = R;
        float r22290 = 2;
        float r22291 = phi1;
        float r22292 = phi2;
        float r22293 = r22291 - r22292;
        float r22294 = r22293 / r22290;
        float r22295 = sin(r22294);
        float r22296 = pow(r22295, r22290);
        float r22297 = cos(r22291);
        float r22298 = cos(r22292);
        float r22299 = r22297 * r22298;
        float r22300 = lambda1;
        float r22301 = lambda2;
        float r22302 = r22300 - r22301;
        float r22303 = r22302 / r22290;
        float r22304 = sin(r22303);
        float r22305 = r22299 * r22304;
        float r22306 = r22305 * r22304;
        float r22307 = r22296 + r22306;
        float r22308 = sqrt(r22307);
        float r22309 = 1;
        float r22310 = r22309 - r22307;
        float r22311 = sqrt(r22310);
        float r22312 = atan2(r22308, r22311);
        float r22313 = r22290 * r22312;
        float r22314 = r22289 * r22313;
        return r22314;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r22315 = R;
        double r22316 = 2;
        double r22317 = phi1;
        double r22318 = phi2;
        double r22319 = r22317 - r22318;
        double r22320 = r22319 / r22316;
        double r22321 = sin(r22320);
        double r22322 = pow(r22321, r22316);
        double r22323 = cos(r22317);
        double r22324 = cos(r22318);
        double r22325 = r22323 * r22324;
        double r22326 = lambda1;
        double r22327 = lambda2;
        double r22328 = r22326 - r22327;
        double r22329 = r22328 / r22316;
        double r22330 = sin(r22329);
        double r22331 = r22325 * r22330;
        double r22332 = r22331 * r22330;
        double r22333 = r22322 + r22332;
        double r22334 = sqrt(r22333);
        double r22335 = 1;
        double r22336 = r22335 - r22333;
        double r22337 = sqrt(r22336);
        double r22338 = atan2(r22334, r22337);
        double r22339 = r22316 * r22338;
        double r22340 = r22315 * r22339;
        return r22340;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r22341 = R;
        float r22342 = 2;
        float r22343 = phi1;
        float r22344 = phi2;
        float r22345 = r22343 - r22344;
        float r22346 = r22345 / r22342;
        float r22347 = sin(r22346);
        float r22348 = pow(r22347, r22342);
        float r22349 = cos(r22343);
        float r22350 = cos(r22344);
        float r22351 = r22349 * r22350;
        float r22352 = lambda1;
        float r22353 = lambda2;
        float r22354 = r22352 - r22353;
        float r22355 = r22354 / r22342;
        float r22356 = sin(r22355);
        float r22357 = r22351 * r22356;
        float r22358 = r22357 * r22356;
        float r22359 = r22348 + r22358;
        float r22360 = sqrt(r22359);
        float r22361 = 1;
        float r22362 = exp(r22356);
        float r22363 = sqrt(r22362);
        float r22364 = log(r22363);
        float r22365 = 3;
        float r22366 = pow(r22364, r22365);
        float r22367 = cbrt(r22366);
        float r22368 = r22364 + r22367;
        float r22369 = r22357 * r22368;
        float r22370 = r22348 + r22369;
        float r22371 = r22361 - r22370;
        float r22372 = sqrt(r22371);
        float r22373 = atan2(r22360, r22372);
        float r22374 = r22342 * r22373;
        float r22375 = r22341 * r22374;
        return r22375;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r22376 = R;
        double r22377 = 2;
        double r22378 = phi1;
        double r22379 = phi2;
        double r22380 = r22378 - r22379;
        double r22381 = r22380 / r22377;
        double r22382 = sin(r22381);
        double r22383 = pow(r22382, r22377);
        double r22384 = cos(r22378);
        double r22385 = cos(r22379);
        double r22386 = r22384 * r22385;
        double r22387 = lambda1;
        double r22388 = lambda2;
        double r22389 = r22387 - r22388;
        double r22390 = r22389 / r22377;
        double r22391 = sin(r22390);
        double r22392 = r22386 * r22391;
        double r22393 = r22392 * r22391;
        double r22394 = r22383 + r22393;
        double r22395 = sqrt(r22394);
        double r22396 = 1;
        double r22397 = exp(r22391);
        double r22398 = sqrt(r22397);
        double r22399 = log(r22398);
        double r22400 = 3;
        double r22401 = pow(r22399, r22400);
        double r22402 = cbrt(r22401);
        double r22403 = r22399 + r22402;
        double r22404 = r22392 * r22403;
        double r22405 = r22383 + r22404;
        double r22406 = r22396 - r22405;
        double r22407 = sqrt(r22406);
        double r22408 = atan2(r22395, r22407);
        double r22409 = r22377 * r22408;
        double r22410 = r22376 * r22409;
        return r22410;
}

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 r22411, r22412, r22413, r22414, r22415, r22416, r22417, r22418, r22419, r22420, r22421, r22422, r22423, r22424, r22425, r22426, r22427, r22428, r22429, r22430, r22431, r22432, r22433, r22434, r22435, r22436;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22411);
        mpfr_init_set_str(r22412, "2", 10, MPFR_RNDN);
        mpfr_init(r22413);
        mpfr_init(r22414);
        mpfr_init(r22415);
        mpfr_init(r22416);
        mpfr_init(r22417);
        mpfr_init(r22418);
        mpfr_init(r22419);
        mpfr_init(r22420);
        mpfr_init(r22421);
        mpfr_init(r22422);
        mpfr_init(r22423);
        mpfr_init(r22424);
        mpfr_init(r22425);
        mpfr_init(r22426);
        mpfr_init(r22427);
        mpfr_init(r22428);
        mpfr_init(r22429);
        mpfr_init(r22430);
        mpfr_init_set_str(r22431, "1", 10, MPFR_RNDN);
        mpfr_init(r22432);
        mpfr_init(r22433);
        mpfr_init(r22434);
        mpfr_init(r22435);
        mpfr_init(r22436);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22411, R, MPFR_RNDN);
        ;
        mpfr_set_d(r22413, phi1, MPFR_RNDN);
        mpfr_set_d(r22414, phi2, MPFR_RNDN);
        mpfr_sub(r22415, r22413, r22414, MPFR_RNDN);
        mpfr_div(r22416, r22415, r22412, MPFR_RNDN);
        mpfr_sin(r22417, r22416, MPFR_RNDN);
        mpfr_pow(r22418, r22417, r22412, MPFR_RNDN);
        mpfr_cos(r22419, r22413, MPFR_RNDN);
        mpfr_cos(r22420, r22414, MPFR_RNDN);
        mpfr_mul(r22421, r22419, r22420, MPFR_RNDN);
        mpfr_set_d(r22422, lambda1, MPFR_RNDN);
        mpfr_set_d(r22423, lambda2, MPFR_RNDN);
        mpfr_sub(r22424, r22422, r22423, MPFR_RNDN);
        mpfr_div(r22425, r22424, r22412, MPFR_RNDN);
        mpfr_sin(r22426, r22425, MPFR_RNDN);
        mpfr_mul(r22427, r22421, r22426, MPFR_RNDN);
        mpfr_mul(r22428, r22427, r22426, MPFR_RNDN);
        mpfr_add(r22429, r22418, r22428, MPFR_RNDN);
        mpfr_sqrt(r22430, r22429, MPFR_RNDN);
        ;
        mpfr_sub(r22432, r22431, r22429, MPFR_RNDN);
        mpfr_sqrt(r22433, r22432, MPFR_RNDN);
        mpfr_atan2(r22434, r22430, r22433, MPFR_RNDN);
        mpfr_mul(r22435, r22412, r22434, MPFR_RNDN);
        mpfr_mul(r22436, r22411, r22435, MPFR_RNDN);
        return mpfr_get_d(r22436, MPFR_RNDN);
}

static mpfr_t r22437, r22438, r22439, r22440, r22441, r22442, r22443, r22444, r22445, r22446, r22447, r22448, r22449, r22450, r22451, r22452, r22453, r22454, r22455, r22456, r22457, r22458, r22459, r22460, r22461, r22462, r22463, r22464, r22465, r22466, r22467, r22468, r22469, r22470, r22471;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22437);
        mpfr_init_set_str(r22438, "2", 10, MPFR_RNDN);
        mpfr_init(r22439);
        mpfr_init(r22440);
        mpfr_init(r22441);
        mpfr_init(r22442);
        mpfr_init(r22443);
        mpfr_init(r22444);
        mpfr_init(r22445);
        mpfr_init(r22446);
        mpfr_init(r22447);
        mpfr_init(r22448);
        mpfr_init(r22449);
        mpfr_init(r22450);
        mpfr_init(r22451);
        mpfr_init(r22452);
        mpfr_init(r22453);
        mpfr_init(r22454);
        mpfr_init(r22455);
        mpfr_init(r22456);
        mpfr_init_set_str(r22457, "1", 10, MPFR_RNDN);
        mpfr_init(r22458);
        mpfr_init(r22459);
        mpfr_init(r22460);
        mpfr_init_set_str(r22461, "3", 10, MPFR_RNDN);
        mpfr_init(r22462);
        mpfr_init(r22463);
        mpfr_init(r22464);
        mpfr_init(r22465);
        mpfr_init(r22466);
        mpfr_init(r22467);
        mpfr_init(r22468);
        mpfr_init(r22469);
        mpfr_init(r22470);
        mpfr_init(r22471);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22437, R, MPFR_RNDN);
        ;
        mpfr_set_d(r22439, phi1, MPFR_RNDN);
        mpfr_set_d(r22440, phi2, MPFR_RNDN);
        mpfr_sub(r22441, r22439, r22440, MPFR_RNDN);
        mpfr_div(r22442, r22441, r22438, MPFR_RNDN);
        mpfr_sin(r22443, r22442, MPFR_RNDN);
        mpfr_pow(r22444, r22443, r22438, MPFR_RNDN);
        mpfr_cos(r22445, r22439, MPFR_RNDN);
        mpfr_cos(r22446, r22440, MPFR_RNDN);
        mpfr_mul(r22447, r22445, r22446, MPFR_RNDN);
        mpfr_set_d(r22448, lambda1, MPFR_RNDN);
        mpfr_set_d(r22449, lambda2, MPFR_RNDN);
        mpfr_sub(r22450, r22448, r22449, MPFR_RNDN);
        mpfr_div(r22451, r22450, r22438, MPFR_RNDN);
        mpfr_sin(r22452, r22451, MPFR_RNDN);
        mpfr_mul(r22453, r22447, r22452, MPFR_RNDN);
        mpfr_mul(r22454, r22453, r22452, MPFR_RNDN);
        mpfr_add(r22455, r22444, r22454, MPFR_RNDN);
        mpfr_sqrt(r22456, r22455, MPFR_RNDN);
        ;
        mpfr_exp(r22458, r22452, MPFR_RNDN);
        mpfr_sqrt(r22459, r22458, MPFR_RNDN);
        mpfr_log(r22460, r22459, MPFR_RNDN);
        ;
        mpfr_pow(r22462, r22460, r22461, MPFR_RNDN);
        mpfr_cbrt(r22463, r22462, MPFR_RNDN);
        mpfr_add(r22464, r22460, r22463, MPFR_RNDN);
        mpfr_mul(r22465, r22453, r22464, MPFR_RNDN);
        mpfr_add(r22466, r22444, r22465, MPFR_RNDN);
        mpfr_sub(r22467, r22457, r22466, MPFR_RNDN);
        mpfr_sqrt(r22468, r22467, MPFR_RNDN);
        mpfr_atan2(r22469, r22456, r22468, MPFR_RNDN);
        mpfr_mul(r22470, r22438, r22469, MPFR_RNDN);
        mpfr_mul(r22471, r22437, r22470, MPFR_RNDN);
        return mpfr_get_d(r22471, MPFR_RNDN);
}

static mpfr_t r22472, r22473, r22474, r22475, r22476, r22477, r22478, r22479, r22480, r22481, r22482, r22483, r22484, r22485, r22486, r22487, r22488, r22489, r22490, r22491, r22492, r22493, r22494, r22495, r22496, r22497, r22498, r22499, r22500, r22501, r22502, r22503, r22504, r22505, r22506;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22472);
        mpfr_init_set_str(r22473, "2", 10, MPFR_RNDN);
        mpfr_init(r22474);
        mpfr_init(r22475);
        mpfr_init(r22476);
        mpfr_init(r22477);
        mpfr_init(r22478);
        mpfr_init(r22479);
        mpfr_init(r22480);
        mpfr_init(r22481);
        mpfr_init(r22482);
        mpfr_init(r22483);
        mpfr_init(r22484);
        mpfr_init(r22485);
        mpfr_init(r22486);
        mpfr_init(r22487);
        mpfr_init(r22488);
        mpfr_init(r22489);
        mpfr_init(r22490);
        mpfr_init(r22491);
        mpfr_init_set_str(r22492, "1", 10, MPFR_RNDN);
        mpfr_init(r22493);
        mpfr_init(r22494);
        mpfr_init(r22495);
        mpfr_init_set_str(r22496, "3", 10, MPFR_RNDN);
        mpfr_init(r22497);
        mpfr_init(r22498);
        mpfr_init(r22499);
        mpfr_init(r22500);
        mpfr_init(r22501);
        mpfr_init(r22502);
        mpfr_init(r22503);
        mpfr_init(r22504);
        mpfr_init(r22505);
        mpfr_init(r22506);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22472, R, MPFR_RNDN);
        ;
        mpfr_set_d(r22474, phi1, MPFR_RNDN);
        mpfr_set_d(r22475, phi2, MPFR_RNDN);
        mpfr_sub(r22476, r22474, r22475, MPFR_RNDN);
        mpfr_div(r22477, r22476, r22473, MPFR_RNDN);
        mpfr_sin(r22478, r22477, MPFR_RNDN);
        mpfr_pow(r22479, r22478, r22473, MPFR_RNDN);
        mpfr_cos(r22480, r22474, MPFR_RNDN);
        mpfr_cos(r22481, r22475, MPFR_RNDN);
        mpfr_mul(r22482, r22480, r22481, MPFR_RNDN);
        mpfr_set_d(r22483, lambda1, MPFR_RNDN);
        mpfr_set_d(r22484, lambda2, MPFR_RNDN);
        mpfr_sub(r22485, r22483, r22484, MPFR_RNDN);
        mpfr_div(r22486, r22485, r22473, MPFR_RNDN);
        mpfr_sin(r22487, r22486, MPFR_RNDN);
        mpfr_mul(r22488, r22482, r22487, MPFR_RNDN);
        mpfr_mul(r22489, r22488, r22487, MPFR_RNDN);
        mpfr_add(r22490, r22479, r22489, MPFR_RNDN);
        mpfr_sqrt(r22491, r22490, MPFR_RNDN);
        ;
        mpfr_exp(r22493, r22487, MPFR_RNDN);
        mpfr_sqrt(r22494, r22493, MPFR_RNDN);
        mpfr_log(r22495, r22494, MPFR_RNDN);
        ;
        mpfr_pow(r22497, r22495, r22496, MPFR_RNDN);
        mpfr_cbrt(r22498, r22497, MPFR_RNDN);
        mpfr_add(r22499, r22495, r22498, MPFR_RNDN);
        mpfr_mul(r22500, r22488, r22499, MPFR_RNDN);
        mpfr_add(r22501, r22479, r22500, MPFR_RNDN);
        mpfr_sub(r22502, r22492, r22501, MPFR_RNDN);
        mpfr_sqrt(r22503, r22502, MPFR_RNDN);
        mpfr_atan2(r22504, r22491, r22503, MPFR_RNDN);
        mpfr_mul(r22505, r22473, r22504, MPFR_RNDN);
        mpfr_mul(r22506, r22472, r22505, MPFR_RNDN);
        return mpfr_get_d(r22506, MPFR_RNDN);
}