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

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

double f_if(float lambda1, float lambda2, float phi1, float phi2) {
        float r21315 = lambda1;
        float r21316 = phi2;
        float r21317 = cos(r21316);
        float r21318 = lambda2;
        float r21319 = r21315 - r21318;
        float r21320 = sin(r21319);
        float r21321 = r21317 * r21320;
        float r21322 = phi1;
        float r21323 = cos(r21322);
        float r21324 = cos(r21319);
        float r21325 = r21317 * r21324;
        float r21326 = r21323 + r21325;
        float r21327 = atan2(r21321, r21326);
        float r21328 = r21315 + r21327;
        return r21328;
}

double f_id(double lambda1, double lambda2, double phi1, double phi2) {
        double r21329 = lambda1;
        double r21330 = phi2;
        double r21331 = cos(r21330);
        double r21332 = lambda2;
        double r21333 = r21329 - r21332;
        double r21334 = sin(r21333);
        double r21335 = r21331 * r21334;
        double r21336 = phi1;
        double r21337 = cos(r21336);
        double r21338 = cos(r21333);
        double r21339 = r21331 * r21338;
        double r21340 = r21337 + r21339;
        double r21341 = atan2(r21335, r21340);
        double r21342 = r21329 + r21341;
        return r21342;
}


double f_of(float lambda1, float lambda2, float phi1, float phi2) {
        float r21343 = lambda1;
        float r21344 = phi2;
        float r21345 = cos(r21344);
        float r21346 = sin(r21343);
        float r21347 = lambda2;
        float r21348 = cos(r21347);
        float r21349 = r21346 * r21348;
        float r21350 = cos(r21343);
        float r21351 = -r21347;
        float r21352 = sin(r21351);
        float r21353 = r21350 * r21352;
        float r21354 = r21349 + r21353;
        float r21355 = r21345 * r21354;
        float r21356 = phi1;
        float r21357 = cos(r21356);
        float r21358 = r21350 * r21348;
        float r21359 = r21345 * r21358;
        float r21360 = r21357 + r21359;
        float r21361 = sin(r21347);
        float r21362 = r21346 * r21361;
        float r21363 = r21345 * r21362;
        float r21364 = r21360 + r21363;
        float r21365 = atan2(r21355, r21364);
        float r21366 = r21343 + r21365;
        return r21366;
}

double f_od(double lambda1, double lambda2, double phi1, double phi2) {
        double r21367 = lambda1;
        double r21368 = phi2;
        double r21369 = cos(r21368);
        double r21370 = sin(r21367);
        double r21371 = lambda2;
        double r21372 = cos(r21371);
        double r21373 = r21370 * r21372;
        double r21374 = cos(r21367);
        double r21375 = -r21371;
        double r21376 = sin(r21375);
        double r21377 = r21374 * r21376;
        double r21378 = r21373 + r21377;
        double r21379 = r21369 * r21378;
        double r21380 = phi1;
        double r21381 = cos(r21380);
        double r21382 = r21374 * r21372;
        double r21383 = r21369 * r21382;
        double r21384 = r21381 + r21383;
        double r21385 = sin(r21371);
        double r21386 = r21370 * r21385;
        double r21387 = r21369 * r21386;
        double r21388 = r21384 + r21387;
        double r21389 = atan2(r21379, r21388);
        double r21390 = r21367 + r21389;
        return r21390;
}

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 r21391, r21392, r21393, r21394, r21395, r21396, r21397, r21398, r21399, r21400, r21401, r21402, r21403, r21404;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init(r21391);
        mpfr_init(r21392);
        mpfr_init(r21393);
        mpfr_init(r21394);
        mpfr_init(r21395);
        mpfr_init(r21396);
        mpfr_init(r21397);
        mpfr_init(r21398);
        mpfr_init(r21399);
        mpfr_init(r21400);
        mpfr_init(r21401);
        mpfr_init(r21402);
        mpfr_init(r21403);
        mpfr_init(r21404);
}

double f_im(double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21391, lambda1, MPFR_RNDN);
        mpfr_set_d(r21392, phi2, MPFR_RNDN);
        mpfr_cos(r21393, r21392, MPFR_RNDN);
        mpfr_set_d(r21394, lambda2, MPFR_RNDN);
        mpfr_sub(r21395, r21391, r21394, MPFR_RNDN);
        mpfr_sin(r21396, r21395, MPFR_RNDN);
        mpfr_mul(r21397, r21393, r21396, MPFR_RNDN);
        mpfr_set_d(r21398, phi1, MPFR_RNDN);
        mpfr_cos(r21399, r21398, MPFR_RNDN);
        mpfr_cos(r21400, r21395, MPFR_RNDN);
        mpfr_mul(r21401, r21393, r21400, MPFR_RNDN);
        mpfr_add(r21402, r21399, r21401, MPFR_RNDN);
        mpfr_atan2(r21403, r21397, r21402, MPFR_RNDN);
        mpfr_add(r21404, r21391, r21403, MPFR_RNDN);
        return mpfr_get_d(r21404, MPFR_RNDN);
}

static mpfr_t r21405, r21406, r21407, r21408, r21409, r21410, r21411, r21412, r21413, r21414, r21415, r21416, r21417, r21418, r21419, r21420, r21421, r21422, r21423, r21424, r21425, r21426, r21427, r21428;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r21405);
        mpfr_init(r21406);
        mpfr_init(r21407);
        mpfr_init(r21408);
        mpfr_init(r21409);
        mpfr_init(r21410);
        mpfr_init(r21411);
        mpfr_init(r21412);
        mpfr_init(r21413);
        mpfr_init(r21414);
        mpfr_init(r21415);
        mpfr_init(r21416);
        mpfr_init(r21417);
        mpfr_init(r21418);
        mpfr_init(r21419);
        mpfr_init(r21420);
        mpfr_init(r21421);
        mpfr_init(r21422);
        mpfr_init(r21423);
        mpfr_init(r21424);
        mpfr_init(r21425);
        mpfr_init(r21426);
        mpfr_init(r21427);
        mpfr_init(r21428);
}

double f_fm(double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21405, lambda1, MPFR_RNDN);
        mpfr_set_d(r21406, phi2, MPFR_RNDN);
        mpfr_cos(r21407, r21406, MPFR_RNDN);
        mpfr_sin(r21408, r21405, MPFR_RNDN);
        mpfr_set_d(r21409, lambda2, MPFR_RNDN);
        mpfr_cos(r21410, r21409, MPFR_RNDN);
        mpfr_mul(r21411, r21408, r21410, MPFR_RNDN);
        mpfr_cos(r21412, r21405, MPFR_RNDN);
        mpfr_neg(r21413, r21409, MPFR_RNDN);
        mpfr_sin(r21414, r21413, MPFR_RNDN);
        mpfr_mul(r21415, r21412, r21414, MPFR_RNDN);
        mpfr_add(r21416, r21411, r21415, MPFR_RNDN);
        mpfr_mul(r21417, r21407, r21416, MPFR_RNDN);
        mpfr_set_d(r21418, phi1, MPFR_RNDN);
        mpfr_cos(r21419, r21418, MPFR_RNDN);
        mpfr_mul(r21420, r21412, r21410, MPFR_RNDN);
        mpfr_mul(r21421, r21407, r21420, MPFR_RNDN);
        mpfr_add(r21422, r21419, r21421, MPFR_RNDN);
        mpfr_sin(r21423, r21409, MPFR_RNDN);
        mpfr_mul(r21424, r21408, r21423, MPFR_RNDN);
        mpfr_mul(r21425, r21407, r21424, MPFR_RNDN);
        mpfr_add(r21426, r21422, r21425, MPFR_RNDN);
        mpfr_atan2(r21427, r21417, r21426, MPFR_RNDN);
        mpfr_add(r21428, r21405, r21427, MPFR_RNDN);
        return mpfr_get_d(r21428, MPFR_RNDN);
}

static mpfr_t r21429, r21430, r21431, r21432, r21433, r21434, r21435, r21436, r21437, r21438, r21439, r21440, r21441, r21442, r21443, r21444, r21445, r21446, r21447, r21448, r21449, r21450, r21451, r21452;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r21429);
        mpfr_init(r21430);
        mpfr_init(r21431);
        mpfr_init(r21432);
        mpfr_init(r21433);
        mpfr_init(r21434);
        mpfr_init(r21435);
        mpfr_init(r21436);
        mpfr_init(r21437);
        mpfr_init(r21438);
        mpfr_init(r21439);
        mpfr_init(r21440);
        mpfr_init(r21441);
        mpfr_init(r21442);
        mpfr_init(r21443);
        mpfr_init(r21444);
        mpfr_init(r21445);
        mpfr_init(r21446);
        mpfr_init(r21447);
        mpfr_init(r21448);
        mpfr_init(r21449);
        mpfr_init(r21450);
        mpfr_init(r21451);
        mpfr_init(r21452);
}

double f_dm(double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21429, lambda1, MPFR_RNDN);
        mpfr_set_d(r21430, phi2, MPFR_RNDN);
        mpfr_cos(r21431, r21430, MPFR_RNDN);
        mpfr_sin(r21432, r21429, MPFR_RNDN);
        mpfr_set_d(r21433, lambda2, MPFR_RNDN);
        mpfr_cos(r21434, r21433, MPFR_RNDN);
        mpfr_mul(r21435, r21432, r21434, MPFR_RNDN);
        mpfr_cos(r21436, r21429, MPFR_RNDN);
        mpfr_neg(r21437, r21433, MPFR_RNDN);
        mpfr_sin(r21438, r21437, MPFR_RNDN);
        mpfr_mul(r21439, r21436, r21438, MPFR_RNDN);
        mpfr_add(r21440, r21435, r21439, MPFR_RNDN);
        mpfr_mul(r21441, r21431, r21440, MPFR_RNDN);
        mpfr_set_d(r21442, phi1, MPFR_RNDN);
        mpfr_cos(r21443, r21442, MPFR_RNDN);
        mpfr_mul(r21444, r21436, r21434, MPFR_RNDN);
        mpfr_mul(r21445, r21431, r21444, MPFR_RNDN);
        mpfr_add(r21446, r21443, r21445, MPFR_RNDN);
        mpfr_sin(r21447, r21433, MPFR_RNDN);
        mpfr_mul(r21448, r21432, r21447, MPFR_RNDN);
        mpfr_mul(r21449, r21431, r21448, MPFR_RNDN);
        mpfr_add(r21450, r21446, r21449, MPFR_RNDN);
        mpfr_atan2(r21451, r21441, r21450, MPFR_RNDN);
        mpfr_add(r21452, r21429, r21451, MPFR_RNDN);
        return mpfr_get_d(r21452, MPFR_RNDN);
}

