#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 r22272 = lambda1;
        float r22273 = phi2;
        float r22274 = cos(r22273);
        float r22275 = lambda2;
        float r22276 = r22272 - r22275;
        float r22277 = sin(r22276);
        float r22278 = r22274 * r22277;
        float r22279 = phi1;
        float r22280 = cos(r22279);
        float r22281 = cos(r22276);
        float r22282 = r22274 * r22281;
        float r22283 = r22280 + r22282;
        float r22284 = atan2(r22278, r22283);
        float r22285 = r22272 + r22284;
        return r22285;
}

double f_id(double lambda1, double lambda2, double phi1, double phi2) {
        double r22286 = lambda1;
        double r22287 = phi2;
        double r22288 = cos(r22287);
        double r22289 = lambda2;
        double r22290 = r22286 - r22289;
        double r22291 = sin(r22290);
        double r22292 = r22288 * r22291;
        double r22293 = phi1;
        double r22294 = cos(r22293);
        double r22295 = cos(r22290);
        double r22296 = r22288 * r22295;
        double r22297 = r22294 + r22296;
        double r22298 = atan2(r22292, r22297);
        double r22299 = r22286 + r22298;
        return r22299;
}


double f_of(float lambda1, float lambda2, float phi1, float phi2) {
        float r22300 = lambda1;
        float r22301 = phi2;
        float r22302 = cos(r22301);
        float r22303 = lambda2;
        float r22304 = r22300 - r22303;
        float r22305 = sin(r22304);
        float r22306 = r22302 * r22305;
        float r22307 = phi1;
        float r22308 = cos(r22307);
        float r22309 = 3;
        float r22310 = pow(r22308, r22309);
        float r22311 = cos(r22304);
        float r22312 = r22302 * r22311;
        float r22313 = pow(r22312, r22309);
        float r22314 = r22310 + r22313;
        float r22315 = r22308 * r22308;
        float r22316 = r22312 * r22312;
        float r22317 = r22308 * r22312;
        float r22318 = r22316 - r22317;
        float r22319 = r22315 + r22318;
        float r22320 = r22314 / r22319;
        float r22321 = atan2(r22306, r22320);
        float r22322 = r22300 + r22321;
        return r22322;
}

double f_od(double lambda1, double lambda2, double phi1, double phi2) {
        double r22323 = lambda1;
        double r22324 = phi2;
        double r22325 = cos(r22324);
        double r22326 = lambda2;
        double r22327 = r22323 - r22326;
        double r22328 = sin(r22327);
        double r22329 = r22325 * r22328;
        double r22330 = phi1;
        double r22331 = cos(r22330);
        double r22332 = 3;
        double r22333 = pow(r22331, r22332);
        double r22334 = cos(r22327);
        double r22335 = r22325 * r22334;
        double r22336 = pow(r22335, r22332);
        double r22337 = r22333 + r22336;
        double r22338 = r22331 * r22331;
        double r22339 = r22335 * r22335;
        double r22340 = r22331 * r22335;
        double r22341 = r22339 - r22340;
        double r22342 = r22338 + r22341;
        double r22343 = r22337 / r22342;
        double r22344 = atan2(r22329, r22343);
        double r22345 = r22323 + r22344;
        return r22345;
}

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 r22346, r22347, r22348, r22349, r22350, r22351, r22352, r22353, r22354, r22355, r22356, r22357, r22358, r22359;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init(r22346);
        mpfr_init(r22347);
        mpfr_init(r22348);
        mpfr_init(r22349);
        mpfr_init(r22350);
        mpfr_init(r22351);
        mpfr_init(r22352);
        mpfr_init(r22353);
        mpfr_init(r22354);
        mpfr_init(r22355);
        mpfr_init(r22356);
        mpfr_init(r22357);
        mpfr_init(r22358);
        mpfr_init(r22359);
}

double f_im(double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22346, lambda1, MPFR_RNDN);
        mpfr_set_d(r22347, phi2, MPFR_RNDN);
        mpfr_cos(r22348, r22347, MPFR_RNDN);
        mpfr_set_d(r22349, lambda2, MPFR_RNDN);
        mpfr_sub(r22350, r22346, r22349, MPFR_RNDN);
        mpfr_sin(r22351, r22350, MPFR_RNDN);
        mpfr_mul(r22352, r22348, r22351, MPFR_RNDN);
        mpfr_set_d(r22353, phi1, MPFR_RNDN);
        mpfr_cos(r22354, r22353, MPFR_RNDN);
        mpfr_cos(r22355, r22350, MPFR_RNDN);
        mpfr_mul(r22356, r22348, r22355, MPFR_RNDN);
        mpfr_add(r22357, r22354, r22356, MPFR_RNDN);
        mpfr_atan2(r22358, r22352, r22357, MPFR_RNDN);
        mpfr_add(r22359, r22346, r22358, MPFR_RNDN);
        return mpfr_get_d(r22359, MPFR_RNDN);
}

static mpfr_t r22360, r22361, r22362, r22363, r22364, r22365, r22366, r22367, r22368, r22369, r22370, r22371, r22372, r22373, r22374, r22375, r22376, r22377, r22378, r22379, r22380, r22381, r22382;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r22360);
        mpfr_init(r22361);
        mpfr_init(r22362);
        mpfr_init(r22363);
        mpfr_init(r22364);
        mpfr_init(r22365);
        mpfr_init(r22366);
        mpfr_init(r22367);
        mpfr_init(r22368);
        mpfr_init_set_str(r22369, "3", 10, MPFR_RNDN);
        mpfr_init(r22370);
        mpfr_init(r22371);
        mpfr_init(r22372);
        mpfr_init(r22373);
        mpfr_init(r22374);
        mpfr_init(r22375);
        mpfr_init(r22376);
        mpfr_init(r22377);
        mpfr_init(r22378);
        mpfr_init(r22379);
        mpfr_init(r22380);
        mpfr_init(r22381);
        mpfr_init(r22382);
}

double f_fm(double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22360, lambda1, MPFR_RNDN);
        mpfr_set_d(r22361, phi2, MPFR_RNDN);
        mpfr_cos(r22362, r22361, MPFR_RNDN);
        mpfr_set_d(r22363, lambda2, MPFR_RNDN);
        mpfr_sub(r22364, r22360, r22363, MPFR_RNDN);
        mpfr_sin(r22365, r22364, MPFR_RNDN);
        mpfr_mul(r22366, r22362, r22365, MPFR_RNDN);
        mpfr_set_d(r22367, phi1, MPFR_RNDN);
        mpfr_cos(r22368, r22367, MPFR_RNDN);
        ;
        mpfr_pow(r22370, r22368, r22369, MPFR_RNDN);
        mpfr_cos(r22371, r22364, MPFR_RNDN);
        mpfr_mul(r22372, r22362, r22371, MPFR_RNDN);
        mpfr_pow(r22373, r22372, r22369, MPFR_RNDN);
        mpfr_add(r22374, r22370, r22373, MPFR_RNDN);
        mpfr_mul(r22375, r22368, r22368, MPFR_RNDN);
        mpfr_mul(r22376, r22372, r22372, MPFR_RNDN);
        mpfr_mul(r22377, r22368, r22372, MPFR_RNDN);
        mpfr_sub(r22378, r22376, r22377, MPFR_RNDN);
        mpfr_add(r22379, r22375, r22378, MPFR_RNDN);
        mpfr_div(r22380, r22374, r22379, MPFR_RNDN);
        mpfr_atan2(r22381, r22366, r22380, MPFR_RNDN);
        mpfr_add(r22382, r22360, r22381, MPFR_RNDN);
        return mpfr_get_d(r22382, MPFR_RNDN);
}

static mpfr_t r22383, r22384, r22385, r22386, r22387, r22388, r22389, r22390, r22391, r22392, r22393, r22394, r22395, r22396, r22397, r22398, r22399, r22400, r22401, r22402, r22403, r22404, r22405;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r22383);
        mpfr_init(r22384);
        mpfr_init(r22385);
        mpfr_init(r22386);
        mpfr_init(r22387);
        mpfr_init(r22388);
        mpfr_init(r22389);
        mpfr_init(r22390);
        mpfr_init(r22391);
        mpfr_init_set_str(r22392, "3", 10, MPFR_RNDN);
        mpfr_init(r22393);
        mpfr_init(r22394);
        mpfr_init(r22395);
        mpfr_init(r22396);
        mpfr_init(r22397);
        mpfr_init(r22398);
        mpfr_init(r22399);
        mpfr_init(r22400);
        mpfr_init(r22401);
        mpfr_init(r22402);
        mpfr_init(r22403);
        mpfr_init(r22404);
        mpfr_init(r22405);
}

double f_dm(double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22383, lambda1, MPFR_RNDN);
        mpfr_set_d(r22384, phi2, MPFR_RNDN);
        mpfr_cos(r22385, r22384, MPFR_RNDN);
        mpfr_set_d(r22386, lambda2, MPFR_RNDN);
        mpfr_sub(r22387, r22383, r22386, MPFR_RNDN);
        mpfr_sin(r22388, r22387, MPFR_RNDN);
        mpfr_mul(r22389, r22385, r22388, MPFR_RNDN);
        mpfr_set_d(r22390, phi1, MPFR_RNDN);
        mpfr_cos(r22391, r22390, MPFR_RNDN);
        ;
        mpfr_pow(r22393, r22391, r22392, MPFR_RNDN);
        mpfr_cos(r22394, r22387, MPFR_RNDN);
        mpfr_mul(r22395, r22385, r22394, MPFR_RNDN);
        mpfr_pow(r22396, r22395, r22392, MPFR_RNDN);
        mpfr_add(r22397, r22393, r22396, MPFR_RNDN);
        mpfr_mul(r22398, r22391, r22391, MPFR_RNDN);
        mpfr_mul(r22399, r22395, r22395, MPFR_RNDN);
        mpfr_mul(r22400, r22391, r22395, MPFR_RNDN);
        mpfr_sub(r22401, r22399, r22400, MPFR_RNDN);
        mpfr_add(r22402, r22398, r22401, MPFR_RNDN);
        mpfr_div(r22403, r22397, r22402, MPFR_RNDN);
        mpfr_atan2(r22404, r22389, r22403, MPFR_RNDN);
        mpfr_add(r22405, r22383, r22404, MPFR_RNDN);
        return mpfr_get_d(r22405, MPFR_RNDN);
}

