#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 r23237 = R;
        float r23238 = 2;
        float r23239 = phi1;
        float r23240 = phi2;
        float r23241 = r23239 - r23240;
        float r23242 = r23241 / r23238;
        float r23243 = sin(r23242);
        float r23244 = pow(r23243, r23238);
        float r23245 = cos(r23239);
        float r23246 = cos(r23240);
        float r23247 = r23245 * r23246;
        float r23248 = lambda1;
        float r23249 = lambda2;
        float r23250 = r23248 - r23249;
        float r23251 = r23250 / r23238;
        float r23252 = sin(r23251);
        float r23253 = r23247 * r23252;
        float r23254 = r23253 * r23252;
        float r23255 = r23244 + r23254;
        float r23256 = sqrt(r23255);
        float r23257 = 1;
        float r23258 = r23257 - r23255;
        float r23259 = sqrt(r23258);
        float r23260 = atan2(r23256, r23259);
        float r23261 = r23238 * r23260;
        float r23262 = r23237 * r23261;
        return r23262;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r23263 = R;
        double r23264 = 2;
        double r23265 = phi1;
        double r23266 = phi2;
        double r23267 = r23265 - r23266;
        double r23268 = r23267 / r23264;
        double r23269 = sin(r23268);
        double r23270 = pow(r23269, r23264);
        double r23271 = cos(r23265);
        double r23272 = cos(r23266);
        double r23273 = r23271 * r23272;
        double r23274 = lambda1;
        double r23275 = lambda2;
        double r23276 = r23274 - r23275;
        double r23277 = r23276 / r23264;
        double r23278 = sin(r23277);
        double r23279 = r23273 * r23278;
        double r23280 = r23279 * r23278;
        double r23281 = r23270 + r23280;
        double r23282 = sqrt(r23281);
        double r23283 = 1;
        double r23284 = r23283 - r23281;
        double r23285 = sqrt(r23284);
        double r23286 = atan2(r23282, r23285);
        double r23287 = r23264 * r23286;
        double r23288 = r23263 * r23287;
        return r23288;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r23289 = R;
        float r23290 = 2;
        float r23291 = phi1;
        float r23292 = r23291 / r23290;
        float r23293 = sin(r23292);
        float r23294 = phi2;
        float r23295 = r23294 / r23290;
        float r23296 = cos(r23295);
        float r23297 = r23293 * r23296;
        float r23298 = cos(r23292);
        float r23299 = sin(r23295);
        float r23300 = r23298 * r23299;
        float r23301 = r23297 - r23300;
        float r23302 = pow(r23301, r23290);
        float r23303 = cos(r23291);
        float r23304 = cos(r23294);
        float r23305 = r23303 * r23304;
        float r23306 = lambda1;
        float r23307 = lambda2;
        float r23308 = r23306 - r23307;
        float r23309 = r23308 / r23290;
        float r23310 = sin(r23309);
        float r23311 = r23305 * r23310;
        float r23312 = expm1(r23310);
        float r23313 = log1p(r23312);
        float r23314 = r23311 * r23313;
        float r23315 = r23302 + r23314;
        float r23316 = sqrt(r23315);
        float r23317 = 1;
        float r23318 = r23311 * r23310;
        float r23319 = r23302 + r23318;
        float r23320 = r23317 - r23319;
        float r23321 = sqrt(r23320);
        float r23322 = atan2(r23316, r23321);
        float r23323 = r23290 * r23322;
        float r23324 = r23289 * r23323;
        return r23324;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r23325 = R;
        double r23326 = 2;
        double r23327 = phi1;
        double r23328 = r23327 / r23326;
        double r23329 = sin(r23328);
        double r23330 = phi2;
        double r23331 = r23330 / r23326;
        double r23332 = cos(r23331);
        double r23333 = r23329 * r23332;
        double r23334 = cos(r23328);
        double r23335 = sin(r23331);
        double r23336 = r23334 * r23335;
        double r23337 = r23333 - r23336;
        double r23338 = pow(r23337, r23326);
        double r23339 = cos(r23327);
        double r23340 = cos(r23330);
        double r23341 = r23339 * r23340;
        double r23342 = lambda1;
        double r23343 = lambda2;
        double r23344 = r23342 - r23343;
        double r23345 = r23344 / r23326;
        double r23346 = sin(r23345);
        double r23347 = r23341 * r23346;
        double r23348 = expm1(r23346);
        double r23349 = log1p(r23348);
        double r23350 = r23347 * r23349;
        double r23351 = r23338 + r23350;
        double r23352 = sqrt(r23351);
        double r23353 = 1;
        double r23354 = r23347 * r23346;
        double r23355 = r23338 + r23354;
        double r23356 = r23353 - r23355;
        double r23357 = sqrt(r23356);
        double r23358 = atan2(r23352, r23357);
        double r23359 = r23326 * r23358;
        double r23360 = r23325 * r23359;
        return r23360;
}

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 r23361, r23362, r23363, r23364, r23365, r23366, r23367, r23368, r23369, r23370, r23371, r23372, r23373, r23374, r23375, r23376, r23377, r23378, r23379, r23380, r23381, r23382, r23383, r23384, r23385, r23386;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init(r23361);
        mpfr_init_set_str(r23362, "2", 10, MPFR_RNDN);
        mpfr_init(r23363);
        mpfr_init(r23364);
        mpfr_init(r23365);
        mpfr_init(r23366);
        mpfr_init(r23367);
        mpfr_init(r23368);
        mpfr_init(r23369);
        mpfr_init(r23370);
        mpfr_init(r23371);
        mpfr_init(r23372);
        mpfr_init(r23373);
        mpfr_init(r23374);
        mpfr_init(r23375);
        mpfr_init(r23376);
        mpfr_init(r23377);
        mpfr_init(r23378);
        mpfr_init(r23379);
        mpfr_init(r23380);
        mpfr_init_set_str(r23381, "1", 10, MPFR_RNDN);
        mpfr_init(r23382);
        mpfr_init(r23383);
        mpfr_init(r23384);
        mpfr_init(r23385);
        mpfr_init(r23386);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r23361, R, MPFR_RNDN);
        ;
        mpfr_set_d(r23363, phi1, MPFR_RNDN);
        mpfr_set_d(r23364, phi2, MPFR_RNDN);
        mpfr_sub(r23365, r23363, r23364, MPFR_RNDN);
        mpfr_div(r23366, r23365, r23362, MPFR_RNDN);
        mpfr_sin(r23367, r23366, MPFR_RNDN);
        mpfr_pow(r23368, r23367, r23362, MPFR_RNDN);
        mpfr_cos(r23369, r23363, MPFR_RNDN);
        mpfr_cos(r23370, r23364, MPFR_RNDN);
        mpfr_mul(r23371, r23369, r23370, MPFR_RNDN);
        mpfr_set_d(r23372, lambda1, MPFR_RNDN);
        mpfr_set_d(r23373, lambda2, MPFR_RNDN);
        mpfr_sub(r23374, r23372, r23373, MPFR_RNDN);
        mpfr_div(r23375, r23374, r23362, MPFR_RNDN);
        mpfr_sin(r23376, r23375, MPFR_RNDN);
        mpfr_mul(r23377, r23371, r23376, MPFR_RNDN);
        mpfr_mul(r23378, r23377, r23376, MPFR_RNDN);
        mpfr_add(r23379, r23368, r23378, MPFR_RNDN);
        mpfr_sqrt(r23380, r23379, MPFR_RNDN);
        ;
        mpfr_sub(r23382, r23381, r23379, MPFR_RNDN);
        mpfr_sqrt(r23383, r23382, MPFR_RNDN);
        mpfr_atan2(r23384, r23380, r23383, MPFR_RNDN);
        mpfr_mul(r23385, r23362, r23384, MPFR_RNDN);
        mpfr_mul(r23386, r23361, r23385, MPFR_RNDN);
        return mpfr_get_d(r23386, MPFR_RNDN);
}

static mpfr_t r23387, r23388, r23389, r23390, r23391, r23392, r23393, r23394, r23395, r23396, r23397, r23398, r23399, r23400, r23401, r23402, r23403, r23404, r23405, r23406, r23407, r23408, r23409, r23410, r23411, r23412, r23413, r23414, r23415, r23416, r23417, r23418, r23419, r23420, r23421, r23422;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r23387);
        mpfr_init_set_str(r23388, "2", 10, MPFR_RNDN);
        mpfr_init(r23389);
        mpfr_init(r23390);
        mpfr_init(r23391);
        mpfr_init(r23392);
        mpfr_init(r23393);
        mpfr_init(r23394);
        mpfr_init(r23395);
        mpfr_init(r23396);
        mpfr_init(r23397);
        mpfr_init(r23398);
        mpfr_init(r23399);
        mpfr_init(r23400);
        mpfr_init(r23401);
        mpfr_init(r23402);
        mpfr_init(r23403);
        mpfr_init(r23404);
        mpfr_init(r23405);
        mpfr_init(r23406);
        mpfr_init(r23407);
        mpfr_init(r23408);
        mpfr_init(r23409);
        mpfr_init(r23410);
        mpfr_init(r23411);
        mpfr_init(r23412);
        mpfr_init(r23413);
        mpfr_init(r23414);
        mpfr_init_set_str(r23415, "1", 10, MPFR_RNDN);
        mpfr_init(r23416);
        mpfr_init(r23417);
        mpfr_init(r23418);
        mpfr_init(r23419);
        mpfr_init(r23420);
        mpfr_init(r23421);
        mpfr_init(r23422);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r23387, R, MPFR_RNDN);
        ;
        mpfr_set_d(r23389, phi1, MPFR_RNDN);
        mpfr_div(r23390, r23389, r23388, MPFR_RNDN);
        mpfr_sin(r23391, r23390, MPFR_RNDN);
        mpfr_set_d(r23392, phi2, MPFR_RNDN);
        mpfr_div(r23393, r23392, r23388, MPFR_RNDN);
        mpfr_cos(r23394, r23393, MPFR_RNDN);
        mpfr_mul(r23395, r23391, r23394, MPFR_RNDN);
        mpfr_cos(r23396, r23390, MPFR_RNDN);
        mpfr_sin(r23397, r23393, MPFR_RNDN);
        mpfr_mul(r23398, r23396, r23397, MPFR_RNDN);
        mpfr_sub(r23399, r23395, r23398, MPFR_RNDN);
        mpfr_pow(r23400, r23399, r23388, MPFR_RNDN);
        mpfr_cos(r23401, r23389, MPFR_RNDN);
        mpfr_cos(r23402, r23392, MPFR_RNDN);
        mpfr_mul(r23403, r23401, r23402, MPFR_RNDN);
        mpfr_set_d(r23404, lambda1, MPFR_RNDN);
        mpfr_set_d(r23405, lambda2, MPFR_RNDN);
        mpfr_sub(r23406, r23404, r23405, MPFR_RNDN);
        mpfr_div(r23407, r23406, r23388, MPFR_RNDN);
        mpfr_sin(r23408, r23407, MPFR_RNDN);
        mpfr_mul(r23409, r23403, r23408, MPFR_RNDN);
        mpfr_expm1(r23410, r23408, MPFR_RNDN);
        mpfr_log1p(r23411, r23410, MPFR_RNDN);
        mpfr_mul(r23412, r23409, r23411, MPFR_RNDN);
        mpfr_add(r23413, r23400, r23412, MPFR_RNDN);
        mpfr_sqrt(r23414, r23413, MPFR_RNDN);
        ;
        mpfr_mul(r23416, r23409, r23408, MPFR_RNDN);
        mpfr_add(r23417, r23400, r23416, MPFR_RNDN);
        mpfr_sub(r23418, r23415, r23417, MPFR_RNDN);
        mpfr_sqrt(r23419, r23418, MPFR_RNDN);
        mpfr_atan2(r23420, r23414, r23419, MPFR_RNDN);
        mpfr_mul(r23421, r23388, r23420, MPFR_RNDN);
        mpfr_mul(r23422, r23387, r23421, MPFR_RNDN);
        return mpfr_get_d(r23422, MPFR_RNDN);
}

static mpfr_t r23423, r23424, r23425, r23426, r23427, r23428, r23429, r23430, r23431, r23432, r23433, r23434, r23435, r23436, r23437, r23438, r23439, r23440, r23441, r23442, r23443, r23444, r23445, r23446, r23447, r23448, r23449, r23450, r23451, r23452, r23453, r23454, r23455, r23456, r23457, r23458;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r23423);
        mpfr_init_set_str(r23424, "2", 10, MPFR_RNDN);
        mpfr_init(r23425);
        mpfr_init(r23426);
        mpfr_init(r23427);
        mpfr_init(r23428);
        mpfr_init(r23429);
        mpfr_init(r23430);
        mpfr_init(r23431);
        mpfr_init(r23432);
        mpfr_init(r23433);
        mpfr_init(r23434);
        mpfr_init(r23435);
        mpfr_init(r23436);
        mpfr_init(r23437);
        mpfr_init(r23438);
        mpfr_init(r23439);
        mpfr_init(r23440);
        mpfr_init(r23441);
        mpfr_init(r23442);
        mpfr_init(r23443);
        mpfr_init(r23444);
        mpfr_init(r23445);
        mpfr_init(r23446);
        mpfr_init(r23447);
        mpfr_init(r23448);
        mpfr_init(r23449);
        mpfr_init(r23450);
        mpfr_init_set_str(r23451, "1", 10, MPFR_RNDN);
        mpfr_init(r23452);
        mpfr_init(r23453);
        mpfr_init(r23454);
        mpfr_init(r23455);
        mpfr_init(r23456);
        mpfr_init(r23457);
        mpfr_init(r23458);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r23423, R, MPFR_RNDN);
        ;
        mpfr_set_d(r23425, phi1, MPFR_RNDN);
        mpfr_div(r23426, r23425, r23424, MPFR_RNDN);
        mpfr_sin(r23427, r23426, MPFR_RNDN);
        mpfr_set_d(r23428, phi2, MPFR_RNDN);
        mpfr_div(r23429, r23428, r23424, MPFR_RNDN);
        mpfr_cos(r23430, r23429, MPFR_RNDN);
        mpfr_mul(r23431, r23427, r23430, MPFR_RNDN);
        mpfr_cos(r23432, r23426, MPFR_RNDN);
        mpfr_sin(r23433, r23429, MPFR_RNDN);
        mpfr_mul(r23434, r23432, r23433, MPFR_RNDN);
        mpfr_sub(r23435, r23431, r23434, MPFR_RNDN);
        mpfr_pow(r23436, r23435, r23424, MPFR_RNDN);
        mpfr_cos(r23437, r23425, MPFR_RNDN);
        mpfr_cos(r23438, r23428, MPFR_RNDN);
        mpfr_mul(r23439, r23437, r23438, MPFR_RNDN);
        mpfr_set_d(r23440, lambda1, MPFR_RNDN);
        mpfr_set_d(r23441, lambda2, MPFR_RNDN);
        mpfr_sub(r23442, r23440, r23441, MPFR_RNDN);
        mpfr_div(r23443, r23442, r23424, MPFR_RNDN);
        mpfr_sin(r23444, r23443, MPFR_RNDN);
        mpfr_mul(r23445, r23439, r23444, MPFR_RNDN);
        mpfr_expm1(r23446, r23444, MPFR_RNDN);
        mpfr_log1p(r23447, r23446, MPFR_RNDN);
        mpfr_mul(r23448, r23445, r23447, MPFR_RNDN);
        mpfr_add(r23449, r23436, r23448, MPFR_RNDN);
        mpfr_sqrt(r23450, r23449, MPFR_RNDN);
        ;
        mpfr_mul(r23452, r23445, r23444, MPFR_RNDN);
        mpfr_add(r23453, r23436, r23452, MPFR_RNDN);
        mpfr_sub(r23454, r23451, r23453, MPFR_RNDN);
        mpfr_sqrt(r23455, r23454, MPFR_RNDN);
        mpfr_atan2(r23456, r23450, r23455, MPFR_RNDN);
        mpfr_mul(r23457, r23424, r23456, MPFR_RNDN);
        mpfr_mul(r23458, r23423, r23457, MPFR_RNDN);
        return mpfr_get_d(r23458, MPFR_RNDN);
}

