#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 r21411 = lambda1;
        float r21412 = phi2;
        float r21413 = cos(r21412);
        float r21414 = lambda2;
        float r21415 = r21411 - r21414;
        float r21416 = sin(r21415);
        float r21417 = r21413 * r21416;
        float r21418 = phi1;
        float r21419 = cos(r21418);
        float r21420 = cos(r21415);
        float r21421 = r21413 * r21420;
        float r21422 = r21419 + r21421;
        float r21423 = atan2(r21417, r21422);
        float r21424 = r21411 + r21423;
        return r21424;
}

double f_id(double lambda1, double lambda2, double phi1, double phi2) {
        double r21425 = lambda1;
        double r21426 = phi2;
        double r21427 = cos(r21426);
        double r21428 = lambda2;
        double r21429 = r21425 - r21428;
        double r21430 = sin(r21429);
        double r21431 = r21427 * r21430;
        double r21432 = phi1;
        double r21433 = cos(r21432);
        double r21434 = cos(r21429);
        double r21435 = r21427 * r21434;
        double r21436 = r21433 + r21435;
        double r21437 = atan2(r21431, r21436);
        double r21438 = r21425 + r21437;
        return r21438;
}


double f_of(float lambda1, float lambda2, float phi1, float phi2) {
        float r21439 = lambda1;
        float r21440 = phi2;
        float r21441 = cos(r21440);
        float r21442 = lambda2;
        float r21443 = r21439 - r21442;
        float r21444 = sin(r21443);
        float r21445 = r21441 * r21444;
        float r21446 = phi1;
        float r21447 = cos(r21446);
        float r21448 = cos(r21443);
        float r21449 = r21441 * r21448;
        float r21450 = r21447 + r21449;
        float r21451 = exp(r21450);
        float r21452 = sqrt(r21451);
        float r21453 = log(r21452);
        float r21454 = 1/2;
        float r21455 = r21449 + r21447;
        float r21456 = r21454 * r21455;
        float r21457 = r21453 + r21456;
        float r21458 = atan2(r21445, r21457);
        float r21459 = r21439 + r21458;
        return r21459;
}

double f_od(double lambda1, double lambda2, double phi1, double phi2) {
        double r21460 = lambda1;
        double r21461 = phi2;
        double r21462 = cos(r21461);
        double r21463 = lambda2;
        double r21464 = r21460 - r21463;
        double r21465 = sin(r21464);
        double r21466 = r21462 * r21465;
        double r21467 = phi1;
        double r21468 = cos(r21467);
        double r21469 = cos(r21464);
        double r21470 = r21462 * r21469;
        double r21471 = r21468 + r21470;
        double r21472 = exp(r21471);
        double r21473 = sqrt(r21472);
        double r21474 = log(r21473);
        double r21475 = 1/2;
        double r21476 = r21470 + r21468;
        double r21477 = r21475 * r21476;
        double r21478 = r21474 + r21477;
        double r21479 = atan2(r21466, r21478);
        double r21480 = r21460 + r21479;
        return r21480;
}

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 r21481, r21482, r21483, r21484, r21485, r21486, r21487, r21488, r21489, r21490, r21491, r21492, r21493, r21494;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init(r21481);
        mpfr_init(r21482);
        mpfr_init(r21483);
        mpfr_init(r21484);
        mpfr_init(r21485);
        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);
}

double f_im(double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21481, lambda1, MPFR_RNDN);
        mpfr_set_d(r21482, phi2, MPFR_RNDN);
        mpfr_cos(r21483, r21482, MPFR_RNDN);
        mpfr_set_d(r21484, lambda2, MPFR_RNDN);
        mpfr_sub(r21485, r21481, r21484, MPFR_RNDN);
        mpfr_sin(r21486, r21485, MPFR_RNDN);
        mpfr_mul(r21487, r21483, r21486, MPFR_RNDN);
        mpfr_set_d(r21488, phi1, MPFR_RNDN);
        mpfr_cos(r21489, r21488, MPFR_RNDN);
        mpfr_cos(r21490, r21485, MPFR_RNDN);
        mpfr_mul(r21491, r21483, r21490, MPFR_RNDN);
        mpfr_add(r21492, r21489, r21491, MPFR_RNDN);
        mpfr_atan2(r21493, r21487, r21492, MPFR_RNDN);
        mpfr_add(r21494, r21481, r21493, MPFR_RNDN);
        return mpfr_get_d(r21494, MPFR_RNDN);
}

static mpfr_t r21495, r21496, r21497, r21498, r21499, r21500, r21501, r21502, r21503, r21504, r21505, r21506, r21507, r21508, r21509, r21510, r21511, r21512, r21513, r21514, r21515;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        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_set_str(r21510, "1/2", 10, MPFR_RNDN);
        mpfr_init(r21511);
        mpfr_init(r21512);
        mpfr_init(r21513);
        mpfr_init(r21514);
        mpfr_init(r21515);
}

double f_fm(double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21495, lambda1, MPFR_RNDN);
        mpfr_set_d(r21496, phi2, MPFR_RNDN);
        mpfr_cos(r21497, r21496, MPFR_RNDN);
        mpfr_set_d(r21498, lambda2, MPFR_RNDN);
        mpfr_sub(r21499, r21495, r21498, MPFR_RNDN);
        mpfr_sin(r21500, r21499, MPFR_RNDN);
        mpfr_mul(r21501, r21497, r21500, MPFR_RNDN);
        mpfr_set_d(r21502, phi1, MPFR_RNDN);
        mpfr_cos(r21503, r21502, MPFR_RNDN);
        mpfr_cos(r21504, r21499, MPFR_RNDN);
        mpfr_mul(r21505, r21497, r21504, MPFR_RNDN);
        mpfr_add(r21506, r21503, r21505, MPFR_RNDN);
        mpfr_exp(r21507, r21506, MPFR_RNDN);
        mpfr_sqrt(r21508, r21507, MPFR_RNDN);
        mpfr_log(r21509, r21508, MPFR_RNDN);
        ;
        mpfr_add(r21511, r21505, r21503, MPFR_RNDN);
        mpfr_mul(r21512, r21510, r21511, MPFR_RNDN);
        mpfr_add(r21513, r21509, r21512, MPFR_RNDN);
        mpfr_atan2(r21514, r21501, r21513, MPFR_RNDN);
        mpfr_add(r21515, r21495, r21514, MPFR_RNDN);
        return mpfr_get_d(r21515, MPFR_RNDN);
}

static mpfr_t r21516, r21517, r21518, r21519, r21520, r21521, r21522, r21523, r21524, r21525, r21526, r21527, r21528, r21529, r21530, r21531, r21532, r21533, r21534, r21535, r21536;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        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_set_str(r21531, "1/2", 10, MPFR_RNDN);
        mpfr_init(r21532);
        mpfr_init(r21533);
        mpfr_init(r21534);
        mpfr_init(r21535);
        mpfr_init(r21536);
}

double f_dm(double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21516, lambda1, MPFR_RNDN);
        mpfr_set_d(r21517, phi2, MPFR_RNDN);
        mpfr_cos(r21518, r21517, MPFR_RNDN);
        mpfr_set_d(r21519, lambda2, MPFR_RNDN);
        mpfr_sub(r21520, r21516, r21519, MPFR_RNDN);
        mpfr_sin(r21521, r21520, MPFR_RNDN);
        mpfr_mul(r21522, r21518, r21521, MPFR_RNDN);
        mpfr_set_d(r21523, phi1, MPFR_RNDN);
        mpfr_cos(r21524, r21523, MPFR_RNDN);
        mpfr_cos(r21525, r21520, MPFR_RNDN);
        mpfr_mul(r21526, r21518, r21525, MPFR_RNDN);
        mpfr_add(r21527, r21524, r21526, MPFR_RNDN);
        mpfr_exp(r21528, r21527, MPFR_RNDN);
        mpfr_sqrt(r21529, r21528, MPFR_RNDN);
        mpfr_log(r21530, r21529, MPFR_RNDN);
        ;
        mpfr_add(r21532, r21526, r21524, MPFR_RNDN);
        mpfr_mul(r21533, r21531, r21532, MPFR_RNDN);
        mpfr_add(r21534, r21530, r21533, MPFR_RNDN);
        mpfr_atan2(r21535, r21522, r21534, MPFR_RNDN);
        mpfr_add(r21536, r21516, r21535, MPFR_RNDN);
        return mpfr_get_d(r21536, MPFR_RNDN);
}

