#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 r21394 = lambda1;
        float r21395 = phi2;
        float r21396 = cos(r21395);
        float r21397 = lambda2;
        float r21398 = r21394 - r21397;
        float r21399 = sin(r21398);
        float r21400 = r21396 * r21399;
        float r21401 = phi1;
        float r21402 = cos(r21401);
        float r21403 = cos(r21398);
        float r21404 = r21396 * r21403;
        float r21405 = r21402 + r21404;
        float r21406 = atan2(r21400, r21405);
        float r21407 = r21394 + r21406;
        return r21407;
}

double f_id(double lambda1, double lambda2, double phi1, double phi2) {
        double r21408 = lambda1;
        double r21409 = phi2;
        double r21410 = cos(r21409);
        double r21411 = lambda2;
        double r21412 = r21408 - r21411;
        double r21413 = sin(r21412);
        double r21414 = r21410 * r21413;
        double r21415 = phi1;
        double r21416 = cos(r21415);
        double r21417 = cos(r21412);
        double r21418 = r21410 * r21417;
        double r21419 = r21416 + r21418;
        double r21420 = atan2(r21414, r21419);
        double r21421 = r21408 + r21420;
        return r21421;
}


double f_of(float lambda1, float lambda2, float phi1, float phi2) {
        float r21422 = lambda1;
        float r21423 = phi2;
        float r21424 = cos(r21423);
        float r21425 = sin(r21422);
        float r21426 = lambda2;
        float r21427 = cos(r21426);
        float r21428 = r21425 * r21427;
        float r21429 = cos(r21422);
        float r21430 = -r21426;
        float r21431 = sin(r21430);
        float r21432 = r21429 * r21431;
        float r21433 = r21428 + r21432;
        float r21434 = r21424 * r21433;
        float r21435 = phi1;
        float r21436 = cos(r21435);
        float r21437 = exp(r21436);
        float r21438 = r21429 * r21427;
        float r21439 = r21425 * r21431;
        float r21440 = r21438 - r21439;
        float r21441 = r21424 * r21440;
        float r21442 = exp(r21441);
        float r21443 = r21437 * r21442;
        float r21444 = log(r21443);
        float r21445 = atan2(r21434, r21444);
        float r21446 = r21422 + r21445;
        return r21446;
}

double f_od(double lambda1, double lambda2, double phi1, double phi2) {
        double r21447 = lambda1;
        double r21448 = phi2;
        double r21449 = cos(r21448);
        double r21450 = sin(r21447);
        double r21451 = lambda2;
        double r21452 = cos(r21451);
        double r21453 = r21450 * r21452;
        double r21454 = cos(r21447);
        double r21455 = -r21451;
        double r21456 = sin(r21455);
        double r21457 = r21454 * r21456;
        double r21458 = r21453 + r21457;
        double r21459 = r21449 * r21458;
        double r21460 = phi1;
        double r21461 = cos(r21460);
        double r21462 = exp(r21461);
        double r21463 = r21454 * r21452;
        double r21464 = r21450 * r21456;
        double r21465 = r21463 - r21464;
        double r21466 = r21449 * r21465;
        double r21467 = exp(r21466);
        double r21468 = r21462 * r21467;
        double r21469 = log(r21468);
        double r21470 = atan2(r21459, r21469);
        double r21471 = r21447 + r21470;
        return r21471;
}

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 r21472, r21473, r21474, r21475, r21476, r21477, r21478, r21479, r21480, r21481, r21482, r21483, r21484, r21485;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init(r21472);
        mpfr_init(r21473);
        mpfr_init(r21474);
        mpfr_init(r21475);
        mpfr_init(r21476);
        mpfr_init(r21477);
        mpfr_init(r21478);
        mpfr_init(r21479);
        mpfr_init(r21480);
        mpfr_init(r21481);
        mpfr_init(r21482);
        mpfr_init(r21483);
        mpfr_init(r21484);
        mpfr_init(r21485);
}

double f_im(double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21472, lambda1, MPFR_RNDN);
        mpfr_set_d(r21473, phi2, MPFR_RNDN);
        mpfr_cos(r21474, r21473, MPFR_RNDN);
        mpfr_set_d(r21475, lambda2, MPFR_RNDN);
        mpfr_sub(r21476, r21472, r21475, MPFR_RNDN);
        mpfr_sin(r21477, r21476, MPFR_RNDN);
        mpfr_mul(r21478, r21474, r21477, MPFR_RNDN);
        mpfr_set_d(r21479, phi1, MPFR_RNDN);
        mpfr_cos(r21480, r21479, MPFR_RNDN);
        mpfr_cos(r21481, r21476, MPFR_RNDN);
        mpfr_mul(r21482, r21474, r21481, MPFR_RNDN);
        mpfr_add(r21483, r21480, r21482, MPFR_RNDN);
        mpfr_atan2(r21484, r21478, r21483, MPFR_RNDN);
        mpfr_add(r21485, r21472, r21484, MPFR_RNDN);
        return mpfr_get_d(r21485, MPFR_RNDN);
}

static mpfr_t r21486, r21487, r21488, r21489, r21490, r21491, r21492, r21493, r21494, r21495, r21496, r21497, r21498, r21499, r21500, r21501, r21502, r21503, r21504, r21505, r21506, r21507, r21508, r21509, r21510;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r21486);
        mpfr_init(r21487);
        mpfr_init(r21488);
        mpfr_init(r21489);
        mpfr_init(r21490);
        mpfr_init(r21491);
        mpfr_init(r21492);
        mpfr_init(r21493);
        mpfr_init(r21494);
        mpfr_init(r21495);
        mpfr_init(r21496);
        mpfr_init(r21497);
        mpfr_init(r21498);
        mpfr_init(r21499);
        mpfr_init(r21500);
        mpfr_init(r21501);
        mpfr_init(r21502);
        mpfr_init(r21503);
        mpfr_init(r21504);
        mpfr_init(r21505);
        mpfr_init(r21506);
        mpfr_init(r21507);
        mpfr_init(r21508);
        mpfr_init(r21509);
        mpfr_init(r21510);
}

double f_fm(double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21486, lambda1, MPFR_RNDN);
        mpfr_set_d(r21487, phi2, MPFR_RNDN);
        mpfr_cos(r21488, r21487, MPFR_RNDN);
        mpfr_sin(r21489, r21486, MPFR_RNDN);
        mpfr_set_d(r21490, lambda2, MPFR_RNDN);
        mpfr_cos(r21491, r21490, MPFR_RNDN);
        mpfr_mul(r21492, r21489, r21491, MPFR_RNDN);
        mpfr_cos(r21493, r21486, MPFR_RNDN);
        mpfr_neg(r21494, r21490, MPFR_RNDN);
        mpfr_sin(r21495, r21494, MPFR_RNDN);
        mpfr_mul(r21496, r21493, r21495, MPFR_RNDN);
        mpfr_add(r21497, r21492, r21496, MPFR_RNDN);
        mpfr_mul(r21498, r21488, r21497, MPFR_RNDN);
        mpfr_set_d(r21499, phi1, MPFR_RNDN);
        mpfr_cos(r21500, r21499, MPFR_RNDN);
        mpfr_exp(r21501, r21500, MPFR_RNDN);
        mpfr_mul(r21502, r21493, r21491, MPFR_RNDN);
        mpfr_mul(r21503, r21489, r21495, MPFR_RNDN);
        mpfr_sub(r21504, r21502, r21503, MPFR_RNDN);
        mpfr_mul(r21505, r21488, r21504, MPFR_RNDN);
        mpfr_exp(r21506, r21505, MPFR_RNDN);
        mpfr_mul(r21507, r21501, r21506, MPFR_RNDN);
        mpfr_log(r21508, r21507, MPFR_RNDN);
        mpfr_atan2(r21509, r21498, r21508, MPFR_RNDN);
        mpfr_add(r21510, r21486, r21509, MPFR_RNDN);
        return mpfr_get_d(r21510, MPFR_RNDN);
}

static mpfr_t r21511, r21512, r21513, r21514, r21515, r21516, r21517, r21518, r21519, r21520, r21521, r21522, r21523, r21524, r21525, r21526, r21527, r21528, r21529, r21530, r21531, r21532, r21533, r21534, r21535;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r21511);
        mpfr_init(r21512);
        mpfr_init(r21513);
        mpfr_init(r21514);
        mpfr_init(r21515);
        mpfr_init(r21516);
        mpfr_init(r21517);
        mpfr_init(r21518);
        mpfr_init(r21519);
        mpfr_init(r21520);
        mpfr_init(r21521);
        mpfr_init(r21522);
        mpfr_init(r21523);
        mpfr_init(r21524);
        mpfr_init(r21525);
        mpfr_init(r21526);
        mpfr_init(r21527);
        mpfr_init(r21528);
        mpfr_init(r21529);
        mpfr_init(r21530);
        mpfr_init(r21531);
        mpfr_init(r21532);
        mpfr_init(r21533);
        mpfr_init(r21534);
        mpfr_init(r21535);
}

double f_dm(double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21511, lambda1, MPFR_RNDN);
        mpfr_set_d(r21512, phi2, MPFR_RNDN);
        mpfr_cos(r21513, r21512, MPFR_RNDN);
        mpfr_sin(r21514, r21511, MPFR_RNDN);
        mpfr_set_d(r21515, lambda2, MPFR_RNDN);
        mpfr_cos(r21516, r21515, MPFR_RNDN);
        mpfr_mul(r21517, r21514, r21516, MPFR_RNDN);
        mpfr_cos(r21518, r21511, MPFR_RNDN);
        mpfr_neg(r21519, r21515, MPFR_RNDN);
        mpfr_sin(r21520, r21519, MPFR_RNDN);
        mpfr_mul(r21521, r21518, r21520, MPFR_RNDN);
        mpfr_add(r21522, r21517, r21521, MPFR_RNDN);
        mpfr_mul(r21523, r21513, r21522, MPFR_RNDN);
        mpfr_set_d(r21524, phi1, MPFR_RNDN);
        mpfr_cos(r21525, r21524, MPFR_RNDN);
        mpfr_exp(r21526, r21525, MPFR_RNDN);
        mpfr_mul(r21527, r21518, r21516, MPFR_RNDN);
        mpfr_mul(r21528, r21514, r21520, MPFR_RNDN);
        mpfr_sub(r21529, r21527, r21528, MPFR_RNDN);
        mpfr_mul(r21530, r21513, r21529, MPFR_RNDN);
        mpfr_exp(r21531, r21530, MPFR_RNDN);
        mpfr_mul(r21532, r21526, r21531, MPFR_RNDN);
        mpfr_log(r21533, r21532, MPFR_RNDN);
        mpfr_atan2(r21534, r21523, r21533, MPFR_RNDN);
        mpfr_add(r21535, r21511, r21534, MPFR_RNDN);
        return mpfr_get_d(r21535, MPFR_RNDN);
}

