#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 r21320 = lambda1;
        float r21321 = phi2;
        float r21322 = cos(r21321);
        float r21323 = lambda2;
        float r21324 = r21320 - r21323;
        float r21325 = sin(r21324);
        float r21326 = r21322 * r21325;
        float r21327 = phi1;
        float r21328 = cos(r21327);
        float r21329 = cos(r21324);
        float r21330 = r21322 * r21329;
        float r21331 = r21328 + r21330;
        float r21332 = atan2(r21326, r21331);
        float r21333 = r21320 + r21332;
        return r21333;
}

double f_id(double lambda1, double lambda2, double phi1, double phi2) {
        double r21334 = lambda1;
        double r21335 = phi2;
        double r21336 = cos(r21335);
        double r21337 = lambda2;
        double r21338 = r21334 - r21337;
        double r21339 = sin(r21338);
        double r21340 = r21336 * r21339;
        double r21341 = phi1;
        double r21342 = cos(r21341);
        double r21343 = cos(r21338);
        double r21344 = r21336 * r21343;
        double r21345 = r21342 + r21344;
        double r21346 = atan2(r21340, r21345);
        double r21347 = r21334 + r21346;
        return r21347;
}


double f_of(float lambda1, float lambda2, float phi1, float phi2) {
        float r21348 = lambda1;
        float r21349 = phi2;
        float r21350 = cos(r21349);
        float r21351 = sin(r21348);
        float r21352 = lambda2;
        float r21353 = cos(r21352);
        float r21354 = r21351 * r21353;
        float r21355 = cos(r21348);
        float r21356 = -r21352;
        float r21357 = sin(r21356);
        float r21358 = r21355 * r21357;
        float r21359 = r21354 + r21358;
        float r21360 = r21350 * r21359;
        float r21361 = phi1;
        float r21362 = cos(r21361);
        float r21363 = exp(r21362);
        float r21364 = r21355 * r21353;
        float r21365 = r21351 * r21357;
        float r21366 = r21364 - r21365;
        float r21367 = r21350 * r21366;
        float r21368 = exp(r21367);
        float r21369 = r21363 * r21368;
        float r21370 = log(r21369);
        float r21371 = atan2(r21360, r21370);
        float r21372 = r21348 + r21371;
        return r21372;
}

double f_od(double lambda1, double lambda2, double phi1, double phi2) {
        double r21373 = lambda1;
        double r21374 = phi2;
        double r21375 = cos(r21374);
        double r21376 = sin(r21373);
        double r21377 = lambda2;
        double r21378 = cos(r21377);
        double r21379 = r21376 * r21378;
        double r21380 = cos(r21373);
        double r21381 = -r21377;
        double r21382 = sin(r21381);
        double r21383 = r21380 * r21382;
        double r21384 = r21379 + r21383;
        double r21385 = r21375 * r21384;
        double r21386 = phi1;
        double r21387 = cos(r21386);
        double r21388 = exp(r21387);
        double r21389 = r21380 * r21378;
        double r21390 = r21376 * r21382;
        double r21391 = r21389 - r21390;
        double r21392 = r21375 * r21391;
        double r21393 = exp(r21392);
        double r21394 = r21388 * r21393;
        double r21395 = log(r21394);
        double r21396 = atan2(r21385, r21395);
        double r21397 = r21373 + r21396;
        return r21397;
}

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 r21398, r21399, r21400, r21401, r21402, r21403, r21404, r21405, r21406, r21407, r21408, r21409, r21410, r21411;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init(r21398);
        mpfr_init(r21399);
        mpfr_init(r21400);
        mpfr_init(r21401);
        mpfr_init(r21402);
        mpfr_init(r21403);
        mpfr_init(r21404);
        mpfr_init(r21405);
        mpfr_init(r21406);
        mpfr_init(r21407);
        mpfr_init(r21408);
        mpfr_init(r21409);
        mpfr_init(r21410);
        mpfr_init(r21411);
}

double f_im(double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21398, lambda1, MPFR_RNDN);
        mpfr_set_d(r21399, phi2, MPFR_RNDN);
        mpfr_cos(r21400, r21399, MPFR_RNDN);
        mpfr_set_d(r21401, lambda2, MPFR_RNDN);
        mpfr_sub(r21402, r21398, r21401, MPFR_RNDN);
        mpfr_sin(r21403, r21402, MPFR_RNDN);
        mpfr_mul(r21404, r21400, r21403, MPFR_RNDN);
        mpfr_set_d(r21405, phi1, MPFR_RNDN);
        mpfr_cos(r21406, r21405, MPFR_RNDN);
        mpfr_cos(r21407, r21402, MPFR_RNDN);
        mpfr_mul(r21408, r21400, r21407, MPFR_RNDN);
        mpfr_add(r21409, r21406, r21408, MPFR_RNDN);
        mpfr_atan2(r21410, r21404, r21409, MPFR_RNDN);
        mpfr_add(r21411, r21398, r21410, MPFR_RNDN);
        return mpfr_get_d(r21411, MPFR_RNDN);
}

static mpfr_t r21412, r21413, r21414, r21415, r21416, r21417, r21418, r21419, r21420, r21421, r21422, r21423, r21424, r21425, r21426, r21427, r21428, r21429, r21430, r21431, r21432, r21433, r21434, r21435, r21436;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        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);
        mpfr_init(r21429);
        mpfr_init(r21430);
        mpfr_init(r21431);
        mpfr_init(r21432);
        mpfr_init(r21433);
        mpfr_init(r21434);
        mpfr_init(r21435);
        mpfr_init(r21436);
}

double f_fm(double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21412, lambda1, MPFR_RNDN);
        mpfr_set_d(r21413, phi2, MPFR_RNDN);
        mpfr_cos(r21414, r21413, MPFR_RNDN);
        mpfr_sin(r21415, r21412, MPFR_RNDN);
        mpfr_set_d(r21416, lambda2, MPFR_RNDN);
        mpfr_cos(r21417, r21416, MPFR_RNDN);
        mpfr_mul(r21418, r21415, r21417, MPFR_RNDN);
        mpfr_cos(r21419, r21412, MPFR_RNDN);
        mpfr_neg(r21420, r21416, MPFR_RNDN);
        mpfr_sin(r21421, r21420, MPFR_RNDN);
        mpfr_mul(r21422, r21419, r21421, MPFR_RNDN);
        mpfr_add(r21423, r21418, r21422, MPFR_RNDN);
        mpfr_mul(r21424, r21414, r21423, MPFR_RNDN);
        mpfr_set_d(r21425, phi1, MPFR_RNDN);
        mpfr_cos(r21426, r21425, MPFR_RNDN);
        mpfr_exp(r21427, r21426, MPFR_RNDN);
        mpfr_mul(r21428, r21419, r21417, MPFR_RNDN);
        mpfr_mul(r21429, r21415, r21421, MPFR_RNDN);
        mpfr_sub(r21430, r21428, r21429, MPFR_RNDN);
        mpfr_mul(r21431, r21414, r21430, MPFR_RNDN);
        mpfr_exp(r21432, r21431, MPFR_RNDN);
        mpfr_mul(r21433, r21427, r21432, MPFR_RNDN);
        mpfr_log(r21434, r21433, MPFR_RNDN);
        mpfr_atan2(r21435, r21424, r21434, MPFR_RNDN);
        mpfr_add(r21436, r21412, r21435, MPFR_RNDN);
        return mpfr_get_d(r21436, MPFR_RNDN);
}

static mpfr_t r21437, r21438, r21439, r21440, r21441, r21442, r21443, r21444, r21445, r21446, r21447, r21448, r21449, r21450, r21451, r21452, r21453, r21454, r21455, r21456, r21457, r21458, r21459, r21460, r21461;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        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);
        mpfr_init(r21453);
        mpfr_init(r21454);
        mpfr_init(r21455);
        mpfr_init(r21456);
        mpfr_init(r21457);
        mpfr_init(r21458);
        mpfr_init(r21459);
        mpfr_init(r21460);
        mpfr_init(r21461);
}

double f_dm(double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21437, lambda1, MPFR_RNDN);
        mpfr_set_d(r21438, phi2, MPFR_RNDN);
        mpfr_cos(r21439, r21438, MPFR_RNDN);
        mpfr_sin(r21440, r21437, MPFR_RNDN);
        mpfr_set_d(r21441, lambda2, MPFR_RNDN);
        mpfr_cos(r21442, r21441, MPFR_RNDN);
        mpfr_mul(r21443, r21440, r21442, MPFR_RNDN);
        mpfr_cos(r21444, r21437, MPFR_RNDN);
        mpfr_neg(r21445, r21441, MPFR_RNDN);
        mpfr_sin(r21446, r21445, MPFR_RNDN);
        mpfr_mul(r21447, r21444, r21446, MPFR_RNDN);
        mpfr_add(r21448, r21443, r21447, MPFR_RNDN);
        mpfr_mul(r21449, r21439, r21448, MPFR_RNDN);
        mpfr_set_d(r21450, phi1, MPFR_RNDN);
        mpfr_cos(r21451, r21450, MPFR_RNDN);
        mpfr_exp(r21452, r21451, MPFR_RNDN);
        mpfr_mul(r21453, r21444, r21442, MPFR_RNDN);
        mpfr_mul(r21454, r21440, r21446, MPFR_RNDN);
        mpfr_sub(r21455, r21453, r21454, MPFR_RNDN);
        mpfr_mul(r21456, r21439, r21455, MPFR_RNDN);
        mpfr_exp(r21457, r21456, MPFR_RNDN);
        mpfr_mul(r21458, r21452, r21457, MPFR_RNDN);
        mpfr_log(r21459, r21458, MPFR_RNDN);
        mpfr_atan2(r21460, r21449, r21459, MPFR_RNDN);
        mpfr_add(r21461, r21437, r21460, MPFR_RNDN);
        return mpfr_get_d(r21461, MPFR_RNDN);
}

