#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 r21340 = lambda1;
        float r21341 = phi2;
        float r21342 = cos(r21341);
        float r21343 = lambda2;
        float r21344 = r21340 - r21343;
        float r21345 = sin(r21344);
        float r21346 = r21342 * r21345;
        float r21347 = phi1;
        float r21348 = cos(r21347);
        float r21349 = cos(r21344);
        float r21350 = r21342 * r21349;
        float r21351 = r21348 + r21350;
        float r21352 = atan2(r21346, r21351);
        float r21353 = r21340 + r21352;
        return r21353;
}

double f_id(double lambda1, double lambda2, double phi1, double phi2) {
        double r21354 = lambda1;
        double r21355 = phi2;
        double r21356 = cos(r21355);
        double r21357 = lambda2;
        double r21358 = r21354 - r21357;
        double r21359 = sin(r21358);
        double r21360 = r21356 * r21359;
        double r21361 = phi1;
        double r21362 = cos(r21361);
        double r21363 = cos(r21358);
        double r21364 = r21356 * r21363;
        double r21365 = r21362 + r21364;
        double r21366 = atan2(r21360, r21365);
        double r21367 = r21354 + r21366;
        return r21367;
}


double f_of(float lambda1, float lambda2, float phi1, float phi2) {
        float r21368 = phi2;
        float r21369 = cos(r21368);
        float r21370 = lambda1;
        float r21371 = lambda2;
        float r21372 = r21370 - r21371;
        float r21373 = sin(r21372);
        float r21374 = r21369 * r21373;
        float r21375 = cos(r21372);
        float r21376 = phi1;
        float r21377 = cos(r21376);
        float r21378 = fma(r21369, r21375, r21377);
        float r21379 = exp(r21378);
        float r21380 = sqrt(r21379);
        float r21381 = log(r21380);
        float r21382 = 1/2;
        float r21383 = r21382 * r21378;
        float r21384 = r21381 + r21383;
        float r21385 = atan2(r21374, r21384);
        float r21386 = r21385 + r21370;
        return r21386;
}

double f_od(double lambda1, double lambda2, double phi1, double phi2) {
        double r21387 = phi2;
        double r21388 = cos(r21387);
        double r21389 = lambda1;
        double r21390 = lambda2;
        double r21391 = r21389 - r21390;
        double r21392 = sin(r21391);
        double r21393 = r21388 * r21392;
        double r21394 = cos(r21391);
        double r21395 = phi1;
        double r21396 = cos(r21395);
        double r21397 = fma(r21388, r21394, r21396);
        double r21398 = exp(r21397);
        double r21399 = sqrt(r21398);
        double r21400 = log(r21399);
        double r21401 = 1/2;
        double r21402 = r21401 * r21397;
        double r21403 = r21400 + r21402;
        double r21404 = atan2(r21393, r21403);
        double r21405 = r21404 + r21389;
        return r21405;
}

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 r21406, r21407, r21408, r21409, r21410, r21411, r21412, r21413, r21414, r21415, r21416, r21417, r21418, r21419;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        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);
}

double f_im(double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21406, lambda1, MPFR_RNDN);
        mpfr_set_d(r21407, phi2, MPFR_RNDN);
        mpfr_cos(r21408, r21407, MPFR_RNDN);
        mpfr_set_d(r21409, lambda2, MPFR_RNDN);
        mpfr_sub(r21410, r21406, r21409, MPFR_RNDN);
        mpfr_sin(r21411, r21410, MPFR_RNDN);
        mpfr_mul(r21412, r21408, r21411, MPFR_RNDN);
        mpfr_set_d(r21413, phi1, MPFR_RNDN);
        mpfr_cos(r21414, r21413, MPFR_RNDN);
        mpfr_cos(r21415, r21410, MPFR_RNDN);
        mpfr_mul(r21416, r21408, r21415, MPFR_RNDN);
        mpfr_add(r21417, r21414, r21416, MPFR_RNDN);
        mpfr_atan2(r21418, r21412, r21417, MPFR_RNDN);
        mpfr_add(r21419, r21406, r21418, MPFR_RNDN);
        return mpfr_get_d(r21419, MPFR_RNDN);
}

static mpfr_t r21420, r21421, r21422, r21423, r21424, r21425, r21426, r21427, r21428, r21429, r21430, r21431, r21432, r21433, r21434, r21435, r21436, r21437, r21438;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        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_set_str(r21434, "1/2", 10, MPFR_RNDN);
        mpfr_init(r21435);
        mpfr_init(r21436);
        mpfr_init(r21437);
        mpfr_init(r21438);
}

double f_fm(double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21420, phi2, MPFR_RNDN);
        mpfr_cos(r21421, r21420, MPFR_RNDN);
        mpfr_set_d(r21422, lambda1, MPFR_RNDN);
        mpfr_set_d(r21423, lambda2, MPFR_RNDN);
        mpfr_sub(r21424, r21422, r21423, MPFR_RNDN);
        mpfr_sin(r21425, r21424, MPFR_RNDN);
        mpfr_mul(r21426, r21421, r21425, MPFR_RNDN);
        mpfr_cos(r21427, r21424, MPFR_RNDN);
        mpfr_set_d(r21428, phi1, MPFR_RNDN);
        mpfr_cos(r21429, r21428, MPFR_RNDN);
        mpfr_fma(r21430, r21421, r21427, r21429, MPFR_RNDN);
        mpfr_exp(r21431, r21430, MPFR_RNDN);
        mpfr_sqrt(r21432, r21431, MPFR_RNDN);
        mpfr_log(r21433, r21432, MPFR_RNDN);
        ;
        mpfr_mul(r21435, r21434, r21430, MPFR_RNDN);
        mpfr_add(r21436, r21433, r21435, MPFR_RNDN);
        mpfr_atan2(r21437, r21426, r21436, MPFR_RNDN);
        mpfr_add(r21438, r21437, r21422, MPFR_RNDN);
        return mpfr_get_d(r21438, MPFR_RNDN);
}

static mpfr_t r21439, r21440, r21441, r21442, r21443, r21444, r21445, r21446, r21447, r21448, r21449, r21450, r21451, r21452, r21453, r21454, r21455, r21456, r21457;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        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_set_str(r21453, "1/2", 10, MPFR_RNDN);
        mpfr_init(r21454);
        mpfr_init(r21455);
        mpfr_init(r21456);
        mpfr_init(r21457);
}

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