#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 r23296 = R;
        float r23297 = 2;
        float r23298 = phi1;
        float r23299 = phi2;
        float r23300 = r23298 - r23299;
        float r23301 = r23300 / r23297;
        float r23302 = sin(r23301);
        float r23303 = pow(r23302, r23297);
        float r23304 = cos(r23298);
        float r23305 = cos(r23299);
        float r23306 = r23304 * r23305;
        float r23307 = lambda1;
        float r23308 = lambda2;
        float r23309 = r23307 - r23308;
        float r23310 = r23309 / r23297;
        float r23311 = sin(r23310);
        float r23312 = r23306 * r23311;
        float r23313 = r23312 * r23311;
        float r23314 = r23303 + r23313;
        float r23315 = sqrt(r23314);
        float r23316 = 1;
        float r23317 = r23316 - r23314;
        float r23318 = sqrt(r23317);
        float r23319 = atan2(r23315, r23318);
        float r23320 = r23297 * r23319;
        float r23321 = r23296 * r23320;
        return r23321;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r23322 = R;
        double r23323 = 2;
        double r23324 = phi1;
        double r23325 = phi2;
        double r23326 = r23324 - r23325;
        double r23327 = r23326 / r23323;
        double r23328 = sin(r23327);
        double r23329 = pow(r23328, r23323);
        double r23330 = cos(r23324);
        double r23331 = cos(r23325);
        double r23332 = r23330 * r23331;
        double r23333 = lambda1;
        double r23334 = lambda2;
        double r23335 = r23333 - r23334;
        double r23336 = r23335 / r23323;
        double r23337 = sin(r23336);
        double r23338 = r23332 * r23337;
        double r23339 = r23338 * r23337;
        double r23340 = r23329 + r23339;
        double r23341 = sqrt(r23340);
        double r23342 = 1;
        double r23343 = r23342 - r23340;
        double r23344 = sqrt(r23343);
        double r23345 = atan2(r23341, r23344);
        double r23346 = r23323 * r23345;
        double r23347 = r23322 * r23346;
        return r23347;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r23348 = R;
        float r23349 = 2;
        float r23350 = phi1;
        float r23351 = r23350 / r23349;
        float r23352 = sin(r23351);
        float r23353 = phi2;
        float r23354 = r23353 / r23349;
        float r23355 = cos(r23354);
        float r23356 = r23352 * r23355;
        float r23357 = cos(r23351);
        float r23358 = sin(r23354);
        float r23359 = r23357 * r23358;
        float r23360 = r23356 - r23359;
        float r23361 = pow(r23360, r23349);
        float r23362 = cos(r23350);
        float r23363 = cos(r23353);
        float r23364 = r23362 * r23363;
        float r23365 = lambda1;
        float r23366 = lambda2;
        float r23367 = r23365 - r23366;
        float r23368 = r23367 / r23349;
        float r23369 = sin(r23368);
        float r23370 = r23364 * r23369;
        float r23371 = r23370 * r23369;
        float r23372 = r23361 + r23371;
        float r23373 = sqrt(r23372);
        float r23374 = 1;
        float r23375 = log1p(r23369);
        float r23376 = expm1(r23375);
        float r23377 = exp(r23376);
        float r23378 = log(r23377);
        float r23379 = r23370 * r23378;
        float r23380 = r23361 + r23379;
        float r23381 = r23374 - r23380;
        float r23382 = sqrt(r23381);
        float r23383 = atan2(r23373, r23382);
        float r23384 = r23349 * r23383;
        float r23385 = r23348 * r23384;
        return r23385;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r23386 = R;
        double r23387 = 2;
        double r23388 = phi1;
        double r23389 = r23388 / r23387;
        double r23390 = sin(r23389);
        double r23391 = phi2;
        double r23392 = r23391 / r23387;
        double r23393 = cos(r23392);
        double r23394 = r23390 * r23393;
        double r23395 = cos(r23389);
        double r23396 = sin(r23392);
        double r23397 = r23395 * r23396;
        double r23398 = r23394 - r23397;
        double r23399 = pow(r23398, r23387);
        double r23400 = cos(r23388);
        double r23401 = cos(r23391);
        double r23402 = r23400 * r23401;
        double r23403 = lambda1;
        double r23404 = lambda2;
        double r23405 = r23403 - r23404;
        double r23406 = r23405 / r23387;
        double r23407 = sin(r23406);
        double r23408 = r23402 * r23407;
        double r23409 = r23408 * r23407;
        double r23410 = r23399 + r23409;
        double r23411 = sqrt(r23410);
        double r23412 = 1;
        double r23413 = log1p(r23407);
        double r23414 = expm1(r23413);
        double r23415 = exp(r23414);
        double r23416 = log(r23415);
        double r23417 = r23408 * r23416;
        double r23418 = r23399 + r23417;
        double r23419 = r23412 - r23418;
        double r23420 = sqrt(r23419);
        double r23421 = atan2(r23411, r23420);
        double r23422 = r23387 * r23421;
        double r23423 = r23386 * r23422;
        return r23423;
}

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 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;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23424);
        mpfr_init_set_str(r23425, "2", 10, MPFR_RNDN);
        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_set_str(r23444, "1", 10, MPFR_RNDN);
        mpfr_init(r23445);
        mpfr_init(r23446);
        mpfr_init(r23447);
        mpfr_init(r23448);
        mpfr_init(r23449);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r23424, R, MPFR_RNDN);
        ;
        mpfr_set_d(r23426, phi1, MPFR_RNDN);
        mpfr_set_d(r23427, phi2, MPFR_RNDN);
        mpfr_sub(r23428, r23426, r23427, MPFR_RNDN);
        mpfr_div(r23429, r23428, r23425, MPFR_RNDN);
        mpfr_sin(r23430, r23429, MPFR_RNDN);
        mpfr_pow(r23431, r23430, r23425, MPFR_RNDN);
        mpfr_cos(r23432, r23426, MPFR_RNDN);
        mpfr_cos(r23433, r23427, MPFR_RNDN);
        mpfr_mul(r23434, r23432, r23433, MPFR_RNDN);
        mpfr_set_d(r23435, lambda1, MPFR_RNDN);
        mpfr_set_d(r23436, lambda2, MPFR_RNDN);
        mpfr_sub(r23437, r23435, r23436, MPFR_RNDN);
        mpfr_div(r23438, r23437, r23425, MPFR_RNDN);
        mpfr_sin(r23439, r23438, MPFR_RNDN);
        mpfr_mul(r23440, r23434, r23439, MPFR_RNDN);
        mpfr_mul(r23441, r23440, r23439, MPFR_RNDN);
        mpfr_add(r23442, r23431, r23441, MPFR_RNDN);
        mpfr_sqrt(r23443, r23442, MPFR_RNDN);
        ;
        mpfr_sub(r23445, r23444, r23442, MPFR_RNDN);
        mpfr_sqrt(r23446, r23445, MPFR_RNDN);
        mpfr_atan2(r23447, r23443, r23446, MPFR_RNDN);
        mpfr_mul(r23448, r23425, r23447, MPFR_RNDN);
        mpfr_mul(r23449, r23424, r23448, MPFR_RNDN);
        return mpfr_get_d(r23449, MPFR_RNDN);
}

static mpfr_t r23450, r23451, r23452, r23453, r23454, r23455, r23456, r23457, r23458, r23459, r23460, r23461, r23462, r23463, r23464, r23465, r23466, r23467, r23468, r23469, r23470, r23471, r23472, r23473, r23474, r23475, r23476, r23477, r23478, r23479, r23480, r23481, r23482, r23483, r23484, r23485, r23486, r23487;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23450);
        mpfr_init_set_str(r23451, "2", 10, MPFR_RNDN);
        mpfr_init(r23452);
        mpfr_init(r23453);
        mpfr_init(r23454);
        mpfr_init(r23455);
        mpfr_init(r23456);
        mpfr_init(r23457);
        mpfr_init(r23458);
        mpfr_init(r23459);
        mpfr_init(r23460);
        mpfr_init(r23461);
        mpfr_init(r23462);
        mpfr_init(r23463);
        mpfr_init(r23464);
        mpfr_init(r23465);
        mpfr_init(r23466);
        mpfr_init(r23467);
        mpfr_init(r23468);
        mpfr_init(r23469);
        mpfr_init(r23470);
        mpfr_init(r23471);
        mpfr_init(r23472);
        mpfr_init(r23473);
        mpfr_init(r23474);
        mpfr_init(r23475);
        mpfr_init_set_str(r23476, "1", 10, MPFR_RNDN);
        mpfr_init(r23477);
        mpfr_init(r23478);
        mpfr_init(r23479);
        mpfr_init(r23480);
        mpfr_init(r23481);
        mpfr_init(r23482);
        mpfr_init(r23483);
        mpfr_init(r23484);
        mpfr_init(r23485);
        mpfr_init(r23486);
        mpfr_init(r23487);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r23450, R, MPFR_RNDN);
        ;
        mpfr_set_d(r23452, phi1, MPFR_RNDN);
        mpfr_div(r23453, r23452, r23451, MPFR_RNDN);
        mpfr_sin(r23454, r23453, MPFR_RNDN);
        mpfr_set_d(r23455, phi2, MPFR_RNDN);
        mpfr_div(r23456, r23455, r23451, MPFR_RNDN);
        mpfr_cos(r23457, r23456, MPFR_RNDN);
        mpfr_mul(r23458, r23454, r23457, MPFR_RNDN);
        mpfr_cos(r23459, r23453, MPFR_RNDN);
        mpfr_sin(r23460, r23456, MPFR_RNDN);
        mpfr_mul(r23461, r23459, r23460, MPFR_RNDN);
        mpfr_sub(r23462, r23458, r23461, MPFR_RNDN);
        mpfr_pow(r23463, r23462, r23451, MPFR_RNDN);
        mpfr_cos(r23464, r23452, MPFR_RNDN);
        mpfr_cos(r23465, r23455, MPFR_RNDN);
        mpfr_mul(r23466, r23464, r23465, MPFR_RNDN);
        mpfr_set_d(r23467, lambda1, MPFR_RNDN);
        mpfr_set_d(r23468, lambda2, MPFR_RNDN);
        mpfr_sub(r23469, r23467, r23468, MPFR_RNDN);
        mpfr_div(r23470, r23469, r23451, MPFR_RNDN);
        mpfr_sin(r23471, r23470, MPFR_RNDN);
        mpfr_mul(r23472, r23466, r23471, MPFR_RNDN);
        mpfr_mul(r23473, r23472, r23471, MPFR_RNDN);
        mpfr_add(r23474, r23463, r23473, MPFR_RNDN);
        mpfr_sqrt(r23475, r23474, MPFR_RNDN);
        ;
        mpfr_log1p(r23477, r23471, MPFR_RNDN);
        mpfr_expm1(r23478, r23477, MPFR_RNDN);
        mpfr_exp(r23479, r23478, MPFR_RNDN);
        mpfr_log(r23480, r23479, MPFR_RNDN);
        mpfr_mul(r23481, r23472, r23480, MPFR_RNDN);
        mpfr_add(r23482, r23463, r23481, MPFR_RNDN);
        mpfr_sub(r23483, r23476, r23482, MPFR_RNDN);
        mpfr_sqrt(r23484, r23483, MPFR_RNDN);
        mpfr_atan2(r23485, r23475, r23484, MPFR_RNDN);
        mpfr_mul(r23486, r23451, r23485, MPFR_RNDN);
        mpfr_mul(r23487, r23450, r23486, MPFR_RNDN);
        return mpfr_get_d(r23487, MPFR_RNDN);
}

static mpfr_t r23488, r23489, r23490, r23491, r23492, r23493, r23494, r23495, r23496, r23497, r23498, r23499, r23500, r23501, r23502, r23503, r23504, r23505, r23506, r23507, r23508, r23509, r23510, r23511, r23512, r23513, r23514, r23515, r23516, r23517, r23518, r23519, r23520, r23521, r23522, r23523, r23524, r23525;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23488);
        mpfr_init_set_str(r23489, "2", 10, MPFR_RNDN);
        mpfr_init(r23490);
        mpfr_init(r23491);
        mpfr_init(r23492);
        mpfr_init(r23493);
        mpfr_init(r23494);
        mpfr_init(r23495);
        mpfr_init(r23496);
        mpfr_init(r23497);
        mpfr_init(r23498);
        mpfr_init(r23499);
        mpfr_init(r23500);
        mpfr_init(r23501);
        mpfr_init(r23502);
        mpfr_init(r23503);
        mpfr_init(r23504);
        mpfr_init(r23505);
        mpfr_init(r23506);
        mpfr_init(r23507);
        mpfr_init(r23508);
        mpfr_init(r23509);
        mpfr_init(r23510);
        mpfr_init(r23511);
        mpfr_init(r23512);
        mpfr_init(r23513);
        mpfr_init_set_str(r23514, "1", 10, MPFR_RNDN);
        mpfr_init(r23515);
        mpfr_init(r23516);
        mpfr_init(r23517);
        mpfr_init(r23518);
        mpfr_init(r23519);
        mpfr_init(r23520);
        mpfr_init(r23521);
        mpfr_init(r23522);
        mpfr_init(r23523);
        mpfr_init(r23524);
        mpfr_init(r23525);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r23488, R, MPFR_RNDN);
        ;
        mpfr_set_d(r23490, phi1, MPFR_RNDN);
        mpfr_div(r23491, r23490, r23489, MPFR_RNDN);
        mpfr_sin(r23492, r23491, MPFR_RNDN);
        mpfr_set_d(r23493, phi2, MPFR_RNDN);
        mpfr_div(r23494, r23493, r23489, MPFR_RNDN);
        mpfr_cos(r23495, r23494, MPFR_RNDN);
        mpfr_mul(r23496, r23492, r23495, MPFR_RNDN);
        mpfr_cos(r23497, r23491, MPFR_RNDN);
        mpfr_sin(r23498, r23494, MPFR_RNDN);
        mpfr_mul(r23499, r23497, r23498, MPFR_RNDN);
        mpfr_sub(r23500, r23496, r23499, MPFR_RNDN);
        mpfr_pow(r23501, r23500, r23489, MPFR_RNDN);
        mpfr_cos(r23502, r23490, MPFR_RNDN);
        mpfr_cos(r23503, r23493, MPFR_RNDN);
        mpfr_mul(r23504, r23502, r23503, MPFR_RNDN);
        mpfr_set_d(r23505, lambda1, MPFR_RNDN);
        mpfr_set_d(r23506, lambda2, MPFR_RNDN);
        mpfr_sub(r23507, r23505, r23506, MPFR_RNDN);
        mpfr_div(r23508, r23507, r23489, MPFR_RNDN);
        mpfr_sin(r23509, r23508, MPFR_RNDN);
        mpfr_mul(r23510, r23504, r23509, MPFR_RNDN);
        mpfr_mul(r23511, r23510, r23509, MPFR_RNDN);
        mpfr_add(r23512, r23501, r23511, MPFR_RNDN);
        mpfr_sqrt(r23513, r23512, MPFR_RNDN);
        ;
        mpfr_log1p(r23515, r23509, MPFR_RNDN);
        mpfr_expm1(r23516, r23515, MPFR_RNDN);
        mpfr_exp(r23517, r23516, MPFR_RNDN);
        mpfr_log(r23518, r23517, MPFR_RNDN);
        mpfr_mul(r23519, r23510, r23518, MPFR_RNDN);
        mpfr_add(r23520, r23501, r23519, MPFR_RNDN);
        mpfr_sub(r23521, r23514, r23520, MPFR_RNDN);
        mpfr_sqrt(r23522, r23521, MPFR_RNDN);
        mpfr_atan2(r23523, r23513, r23522, MPFR_RNDN);
        mpfr_mul(r23524, r23489, r23523, MPFR_RNDN);
        mpfr_mul(r23525, r23488, r23524, MPFR_RNDN);
        return mpfr_get_d(r23525, MPFR_RNDN);
}