#include <tgmath.h>
#include <gmp.h>
#include <mpfr.h>
#include <stdio.h>
#include <stdbool.h>

char *name = "Distance on a great circle";

double f_if(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r22201 = R;
        float r22202 = 2;
        float r22203 = phi1;
        float r22204 = phi2;
        float r22205 = r22203 - r22204;
        float r22206 = r22205 / r22202;
        float r22207 = sin(r22206);
        float r22208 = pow(r22207, r22202);
        float r22209 = cos(r22203);
        float r22210 = cos(r22204);
        float r22211 = r22209 * r22210;
        float r22212 = lambda1;
        float r22213 = lambda2;
        float r22214 = r22212 - r22213;
        float r22215 = r22214 / r22202;
        float r22216 = sin(r22215);
        float r22217 = r22211 * r22216;
        float r22218 = r22217 * r22216;
        float r22219 = r22208 + r22218;
        float r22220 = sqrt(r22219);
        float r22221 = 1;
        float r22222 = r22221 - r22219;
        float r22223 = sqrt(r22222);
        float r22224 = atan2(r22220, r22223);
        float r22225 = r22202 * r22224;
        float r22226 = r22201 * r22225;
        return r22226;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r22227 = R;
        double r22228 = 2;
        double r22229 = phi1;
        double r22230 = phi2;
        double r22231 = r22229 - r22230;
        double r22232 = r22231 / r22228;
        double r22233 = sin(r22232);
        double r22234 = pow(r22233, r22228);
        double r22235 = cos(r22229);
        double r22236 = cos(r22230);
        double r22237 = r22235 * r22236;
        double r22238 = lambda1;
        double r22239 = lambda2;
        double r22240 = r22238 - r22239;
        double r22241 = r22240 / r22228;
        double r22242 = sin(r22241);
        double r22243 = r22237 * r22242;
        double r22244 = r22243 * r22242;
        double r22245 = r22234 + r22244;
        double r22246 = sqrt(r22245);
        double r22247 = 1;
        double r22248 = r22247 - r22245;
        double r22249 = sqrt(r22248);
        double r22250 = atan2(r22246, r22249);
        double r22251 = r22228 * r22250;
        double r22252 = r22227 * r22251;
        return r22252;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r22253 = R;
        float r22254 = 2;
        float r22255 = phi1;
        float r22256 = r22255 / r22254;
        float r22257 = sin(r22256);
        float r22258 = phi2;
        float r22259 = r22258 / r22254;
        float r22260 = cos(r22259);
        float r22261 = r22257 * r22260;
        float r22262 = cos(r22256);
        float r22263 = sin(r22259);
        float r22264 = r22262 * r22263;
        float r22265 = r22261 - r22264;
        float r22266 = pow(r22265, r22254);
        float r22267 = cos(r22255);
        float r22268 = cos(r22258);
        float r22269 = r22267 * r22268;
        float r22270 = lambda1;
        float r22271 = lambda2;
        float r22272 = r22270 - r22271;
        float r22273 = r22272 / r22254;
        float r22274 = sin(r22273);
        float r22275 = r22269 * r22274;
        float r22276 = r22275 * r22274;
        float r22277 = r22266 + r22276;
        float r22278 = sqrt(r22277);
        float r22279 = 1;
        float r22280 = 3;
        float r22281 = pow(r22274, r22280);
        float r22282 = cbrt(r22281);
        float r22283 = r22269 * r22282;
        float r22284 = r22283 * r22282;
        float r22285 = r22266 + r22284;
        float r22286 = r22279 - r22285;
        float r22287 = sqrt(r22286);
        float r22288 = atan2(r22278, r22287);
        float r22289 = r22254 * r22288;
        float r22290 = r22253 * r22289;
        return r22290;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r22291 = R;
        double r22292 = 2;
        double r22293 = phi1;
        double r22294 = r22293 / r22292;
        double r22295 = sin(r22294);
        double r22296 = phi2;
        double r22297 = r22296 / r22292;
        double r22298 = cos(r22297);
        double r22299 = r22295 * r22298;
        double r22300 = cos(r22294);
        double r22301 = sin(r22297);
        double r22302 = r22300 * r22301;
        double r22303 = r22299 - r22302;
        double r22304 = pow(r22303, r22292);
        double r22305 = cos(r22293);
        double r22306 = cos(r22296);
        double r22307 = r22305 * r22306;
        double r22308 = lambda1;
        double r22309 = lambda2;
        double r22310 = r22308 - r22309;
        double r22311 = r22310 / r22292;
        double r22312 = sin(r22311);
        double r22313 = r22307 * r22312;
        double r22314 = r22313 * r22312;
        double r22315 = r22304 + r22314;
        double r22316 = sqrt(r22315);
        double r22317 = 1;
        double r22318 = 3;
        double r22319 = pow(r22312, r22318);
        double r22320 = cbrt(r22319);
        double r22321 = r22307 * r22320;
        double r22322 = r22321 * r22320;
        double r22323 = r22304 + r22322;
        double r22324 = r22317 - r22323;
        double r22325 = sqrt(r22324);
        double r22326 = atan2(r22316, r22325);
        double r22327 = r22292 * r22326;
        double r22328 = r22291 * r22327;
        return r22328;
}

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 r22329, r22330, r22331, r22332, r22333, r22334, r22335, r22336, r22337, r22338, r22339, r22340, r22341, r22342, r22343, r22344, r22345, r22346, r22347, r22348, r22349, r22350, r22351, r22352, r22353, r22354;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22329);
        mpfr_init_set_str(r22330, "2", 10, MPFR_RNDN);
        mpfr_init(r22331);
        mpfr_init(r22332);
        mpfr_init(r22333);
        mpfr_init(r22334);
        mpfr_init(r22335);
        mpfr_init(r22336);
        mpfr_init(r22337);
        mpfr_init(r22338);
        mpfr_init(r22339);
        mpfr_init(r22340);
        mpfr_init(r22341);
        mpfr_init(r22342);
        mpfr_init(r22343);
        mpfr_init(r22344);
        mpfr_init(r22345);
        mpfr_init(r22346);
        mpfr_init(r22347);
        mpfr_init(r22348);
        mpfr_init_set_str(r22349, "1", 10, MPFR_RNDN);
        mpfr_init(r22350);
        mpfr_init(r22351);
        mpfr_init(r22352);
        mpfr_init(r22353);
        mpfr_init(r22354);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22329, R, MPFR_RNDN);
        ;
        mpfr_set_d(r22331, phi1, MPFR_RNDN);
        mpfr_set_d(r22332, phi2, MPFR_RNDN);
        mpfr_sub(r22333, r22331, r22332, MPFR_RNDN);
        mpfr_div(r22334, r22333, r22330, MPFR_RNDN);
        mpfr_sin(r22335, r22334, MPFR_RNDN);
        mpfr_pow(r22336, r22335, r22330, MPFR_RNDN);
        mpfr_cos(r22337, r22331, MPFR_RNDN);
        mpfr_cos(r22338, r22332, MPFR_RNDN);
        mpfr_mul(r22339, r22337, r22338, MPFR_RNDN);
        mpfr_set_d(r22340, lambda1, MPFR_RNDN);
        mpfr_set_d(r22341, lambda2, MPFR_RNDN);
        mpfr_sub(r22342, r22340, r22341, MPFR_RNDN);
        mpfr_div(r22343, r22342, r22330, MPFR_RNDN);
        mpfr_sin(r22344, r22343, MPFR_RNDN);
        mpfr_mul(r22345, r22339, r22344, MPFR_RNDN);
        mpfr_mul(r22346, r22345, r22344, MPFR_RNDN);
        mpfr_add(r22347, r22336, r22346, MPFR_RNDN);
        mpfr_sqrt(r22348, r22347, MPFR_RNDN);
        ;
        mpfr_sub(r22350, r22349, r22347, MPFR_RNDN);
        mpfr_sqrt(r22351, r22350, MPFR_RNDN);
        mpfr_atan2(r22352, r22348, r22351, MPFR_RNDN);
        mpfr_mul(r22353, r22330, r22352, MPFR_RNDN);
        mpfr_mul(r22354, r22329, r22353, MPFR_RNDN);
        return mpfr_get_d(r22354, MPFR_RNDN);
}

static mpfr_t r22355, r22356, r22357, r22358, r22359, r22360, r22361, r22362, r22363, r22364, r22365, r22366, r22367, r22368, r22369, r22370, r22371, r22372, r22373, r22374, r22375, r22376, r22377, r22378, r22379, r22380, r22381, r22382, r22383, r22384, r22385, r22386, r22387, r22388, r22389, r22390, r22391, r22392;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22355);
        mpfr_init_set_str(r22356, "2", 10, MPFR_RNDN);
        mpfr_init(r22357);
        mpfr_init(r22358);
        mpfr_init(r22359);
        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(r22369);
        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_set_str(r22381, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r22382, "3", 10, MPFR_RNDN);
        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(r22392);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22355, R, MPFR_RNDN);
        ;
        mpfr_set_d(r22357, phi1, MPFR_RNDN);
        mpfr_div(r22358, r22357, r22356, MPFR_RNDN);
        mpfr_sin(r22359, r22358, MPFR_RNDN);
        mpfr_set_d(r22360, phi2, MPFR_RNDN);
        mpfr_div(r22361, r22360, r22356, MPFR_RNDN);
        mpfr_cos(r22362, r22361, MPFR_RNDN);
        mpfr_mul(r22363, r22359, r22362, MPFR_RNDN);
        mpfr_cos(r22364, r22358, MPFR_RNDN);
        mpfr_sin(r22365, r22361, MPFR_RNDN);
        mpfr_mul(r22366, r22364, r22365, MPFR_RNDN);
        mpfr_sub(r22367, r22363, r22366, MPFR_RNDN);
        mpfr_pow(r22368, r22367, r22356, MPFR_RNDN);
        mpfr_cos(r22369, r22357, MPFR_RNDN);
        mpfr_cos(r22370, r22360, MPFR_RNDN);
        mpfr_mul(r22371, r22369, r22370, MPFR_RNDN);
        mpfr_set_d(r22372, lambda1, MPFR_RNDN);
        mpfr_set_d(r22373, lambda2, MPFR_RNDN);
        mpfr_sub(r22374, r22372, r22373, MPFR_RNDN);
        mpfr_div(r22375, r22374, r22356, MPFR_RNDN);
        mpfr_sin(r22376, r22375, MPFR_RNDN);
        mpfr_mul(r22377, r22371, r22376, MPFR_RNDN);
        mpfr_mul(r22378, r22377, r22376, MPFR_RNDN);
        mpfr_add(r22379, r22368, r22378, MPFR_RNDN);
        mpfr_sqrt(r22380, r22379, MPFR_RNDN);
        ;
        ;
        mpfr_pow(r22383, r22376, r22382, MPFR_RNDN);
        mpfr_cbrt(r22384, r22383, MPFR_RNDN);
        mpfr_mul(r22385, r22371, r22384, MPFR_RNDN);
        mpfr_mul(r22386, r22385, r22384, MPFR_RNDN);
        mpfr_add(r22387, r22368, r22386, MPFR_RNDN);
        mpfr_sub(r22388, r22381, r22387, MPFR_RNDN);
        mpfr_sqrt(r22389, r22388, MPFR_RNDN);
        mpfr_atan2(r22390, r22380, r22389, MPFR_RNDN);
        mpfr_mul(r22391, r22356, r22390, MPFR_RNDN);
        mpfr_mul(r22392, r22355, r22391, MPFR_RNDN);
        return mpfr_get_d(r22392, MPFR_RNDN);
}

static mpfr_t r22393, r22394, r22395, r22396, r22397, r22398, r22399, r22400, r22401, r22402, r22403, r22404, r22405, r22406, r22407, r22408, r22409, r22410, r22411, r22412, r22413, r22414, r22415, r22416, r22417, r22418, r22419, r22420, r22421, r22422, r22423, r22424, r22425, r22426, r22427, r22428, r22429, r22430;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22393);
        mpfr_init_set_str(r22394, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r22406);
        mpfr_init(r22407);
        mpfr_init(r22408);
        mpfr_init(r22409);
        mpfr_init(r22410);
        mpfr_init(r22411);
        mpfr_init(r22412);
        mpfr_init(r22413);
        mpfr_init(r22414);
        mpfr_init(r22415);
        mpfr_init(r22416);
        mpfr_init(r22417);
        mpfr_init(r22418);
        mpfr_init_set_str(r22419, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r22420, "3", 10, MPFR_RNDN);
        mpfr_init(r22421);
        mpfr_init(r22422);
        mpfr_init(r22423);
        mpfr_init(r22424);
        mpfr_init(r22425);
        mpfr_init(r22426);
        mpfr_init(r22427);
        mpfr_init(r22428);
        mpfr_init(r22429);
        mpfr_init(r22430);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22393, R, MPFR_RNDN);
        ;
        mpfr_set_d(r22395, phi1, MPFR_RNDN);
        mpfr_div(r22396, r22395, r22394, MPFR_RNDN);
        mpfr_sin(r22397, r22396, MPFR_RNDN);
        mpfr_set_d(r22398, phi2, MPFR_RNDN);
        mpfr_div(r22399, r22398, r22394, MPFR_RNDN);
        mpfr_cos(r22400, r22399, MPFR_RNDN);
        mpfr_mul(r22401, r22397, r22400, MPFR_RNDN);
        mpfr_cos(r22402, r22396, MPFR_RNDN);
        mpfr_sin(r22403, r22399, MPFR_RNDN);
        mpfr_mul(r22404, r22402, r22403, MPFR_RNDN);
        mpfr_sub(r22405, r22401, r22404, MPFR_RNDN);
        mpfr_pow(r22406, r22405, r22394, MPFR_RNDN);
        mpfr_cos(r22407, r22395, MPFR_RNDN);
        mpfr_cos(r22408, r22398, MPFR_RNDN);
        mpfr_mul(r22409, r22407, r22408, MPFR_RNDN);
        mpfr_set_d(r22410, lambda1, MPFR_RNDN);
        mpfr_set_d(r22411, lambda2, MPFR_RNDN);
        mpfr_sub(r22412, r22410, r22411, MPFR_RNDN);
        mpfr_div(r22413, r22412, r22394, MPFR_RNDN);
        mpfr_sin(r22414, r22413, MPFR_RNDN);
        mpfr_mul(r22415, r22409, r22414, MPFR_RNDN);
        mpfr_mul(r22416, r22415, r22414, MPFR_RNDN);
        mpfr_add(r22417, r22406, r22416, MPFR_RNDN);
        mpfr_sqrt(r22418, r22417, MPFR_RNDN);
        ;
        ;
        mpfr_pow(r22421, r22414, r22420, MPFR_RNDN);
        mpfr_cbrt(r22422, r22421, MPFR_RNDN);
        mpfr_mul(r22423, r22409, r22422, MPFR_RNDN);
        mpfr_mul(r22424, r22423, r22422, MPFR_RNDN);
        mpfr_add(r22425, r22406, r22424, MPFR_RNDN);
        mpfr_sub(r22426, r22419, r22425, MPFR_RNDN);
        mpfr_sqrt(r22427, r22426, MPFR_RNDN);
        mpfr_atan2(r22428, r22418, r22427, MPFR_RNDN);
        mpfr_mul(r22429, r22394, r22428, MPFR_RNDN);
        mpfr_mul(r22430, r22393, r22429, MPFR_RNDN);
        return mpfr_get_d(r22430, MPFR_RNDN);
}