#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 r23212 = R;
        float r23213 = 2;
        float r23214 = phi1;
        float r23215 = phi2;
        float r23216 = r23214 - r23215;
        float r23217 = r23216 / r23213;
        float r23218 = sin(r23217);
        float r23219 = pow(r23218, r23213);
        float r23220 = cos(r23214);
        float r23221 = cos(r23215);
        float r23222 = r23220 * r23221;
        float r23223 = lambda1;
        float r23224 = lambda2;
        float r23225 = r23223 - r23224;
        float r23226 = r23225 / r23213;
        float r23227 = sin(r23226);
        float r23228 = r23222 * r23227;
        float r23229 = r23228 * r23227;
        float r23230 = r23219 + r23229;
        float r23231 = sqrt(r23230);
        float r23232 = 1;
        float r23233 = r23232 - r23230;
        float r23234 = sqrt(r23233);
        float r23235 = atan2(r23231, r23234);
        float r23236 = r23213 * r23235;
        float r23237 = r23212 * r23236;
        return r23237;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r23238 = R;
        double r23239 = 2;
        double r23240 = phi1;
        double r23241 = phi2;
        double r23242 = r23240 - r23241;
        double r23243 = r23242 / r23239;
        double r23244 = sin(r23243);
        double r23245 = pow(r23244, r23239);
        double r23246 = cos(r23240);
        double r23247 = cos(r23241);
        double r23248 = r23246 * r23247;
        double r23249 = lambda1;
        double r23250 = lambda2;
        double r23251 = r23249 - r23250;
        double r23252 = r23251 / r23239;
        double r23253 = sin(r23252);
        double r23254 = r23248 * r23253;
        double r23255 = r23254 * r23253;
        double r23256 = r23245 + r23255;
        double r23257 = sqrt(r23256);
        double r23258 = 1;
        double r23259 = r23258 - r23256;
        double r23260 = sqrt(r23259);
        double r23261 = atan2(r23257, r23260);
        double r23262 = r23239 * r23261;
        double r23263 = r23238 * r23262;
        return r23263;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r23264 = R;
        float r23265 = 2;
        float r23266 = phi1;
        float r23267 = phi2;
        float r23268 = r23266 - r23267;
        float r23269 = r23268 / r23265;
        float r23270 = sin(r23269);
        float r23271 = pow(r23270, r23265);
        float r23272 = cos(r23266);
        float r23273 = cos(r23267);
        float r23274 = r23272 * r23273;
        float r23275 = lambda1;
        float r23276 = lambda2;
        float r23277 = r23275 - r23276;
        float r23278 = r23277 / r23265;
        float r23279 = sin(r23278);
        float r23280 = expm1(r23279);
        float r23281 = log1p(r23280);
        float r23282 = r23274 * r23281;
        float r23283 = r23282 * r23279;
        float r23284 = r23271 + r23283;
        float r23285 = sqrt(r23284);
        float r23286 = 1;
        float r23287 = r23286 - r23284;
        float r23288 = sqrt(r23287);
        float r23289 = atan2(r23285, r23288);
        float r23290 = r23265 * r23289;
        float r23291 = r23264 * r23290;
        return r23291;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r23292 = R;
        double r23293 = 2;
        double r23294 = phi1;
        double r23295 = phi2;
        double r23296 = r23294 - r23295;
        double r23297 = r23296 / r23293;
        double r23298 = sin(r23297);
        double r23299 = pow(r23298, r23293);
        double r23300 = cos(r23294);
        double r23301 = cos(r23295);
        double r23302 = r23300 * r23301;
        double r23303 = lambda1;
        double r23304 = lambda2;
        double r23305 = r23303 - r23304;
        double r23306 = r23305 / r23293;
        double r23307 = sin(r23306);
        double r23308 = expm1(r23307);
        double r23309 = log1p(r23308);
        double r23310 = r23302 * r23309;
        double r23311 = r23310 * r23307;
        double r23312 = r23299 + r23311;
        double r23313 = sqrt(r23312);
        double r23314 = 1;
        double r23315 = r23314 - r23312;
        double r23316 = sqrt(r23315);
        double r23317 = atan2(r23313, r23316);
        double r23318 = r23293 * r23317;
        double r23319 = r23292 * r23318;
        return r23319;
}

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 r23320, r23321, r23322, r23323, r23324, r23325, r23326, r23327, r23328, r23329, r23330, r23331, r23332, r23333, r23334, r23335, r23336, r23337, r23338, r23339, r23340, r23341, r23342, r23343, r23344, r23345;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23320);
        mpfr_init_set_str(r23321, "2", 10, MPFR_RNDN);
        mpfr_init(r23322);
        mpfr_init(r23323);
        mpfr_init(r23324);
        mpfr_init(r23325);
        mpfr_init(r23326);
        mpfr_init(r23327);
        mpfr_init(r23328);
        mpfr_init(r23329);
        mpfr_init(r23330);
        mpfr_init(r23331);
        mpfr_init(r23332);
        mpfr_init(r23333);
        mpfr_init(r23334);
        mpfr_init(r23335);
        mpfr_init(r23336);
        mpfr_init(r23337);
        mpfr_init(r23338);
        mpfr_init(r23339);
        mpfr_init_set_str(r23340, "1", 10, MPFR_RNDN);
        mpfr_init(r23341);
        mpfr_init(r23342);
        mpfr_init(r23343);
        mpfr_init(r23344);
        mpfr_init(r23345);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r23320, R, MPFR_RNDN);
        ;
        mpfr_set_d(r23322, phi1, MPFR_RNDN);
        mpfr_set_d(r23323, phi2, MPFR_RNDN);
        mpfr_sub(r23324, r23322, r23323, MPFR_RNDN);
        mpfr_div(r23325, r23324, r23321, MPFR_RNDN);
        mpfr_sin(r23326, r23325, MPFR_RNDN);
        mpfr_pow(r23327, r23326, r23321, MPFR_RNDN);
        mpfr_cos(r23328, r23322, MPFR_RNDN);
        mpfr_cos(r23329, r23323, MPFR_RNDN);
        mpfr_mul(r23330, r23328, r23329, MPFR_RNDN);
        mpfr_set_d(r23331, lambda1, MPFR_RNDN);
        mpfr_set_d(r23332, lambda2, MPFR_RNDN);
        mpfr_sub(r23333, r23331, r23332, MPFR_RNDN);
        mpfr_div(r23334, r23333, r23321, MPFR_RNDN);
        mpfr_sin(r23335, r23334, MPFR_RNDN);
        mpfr_mul(r23336, r23330, r23335, MPFR_RNDN);
        mpfr_mul(r23337, r23336, r23335, MPFR_RNDN);
        mpfr_add(r23338, r23327, r23337, MPFR_RNDN);
        mpfr_sqrt(r23339, r23338, MPFR_RNDN);
        ;
        mpfr_sub(r23341, r23340, r23338, MPFR_RNDN);
        mpfr_sqrt(r23342, r23341, MPFR_RNDN);
        mpfr_atan2(r23343, r23339, r23342, MPFR_RNDN);
        mpfr_mul(r23344, r23321, r23343, MPFR_RNDN);
        mpfr_mul(r23345, r23320, r23344, MPFR_RNDN);
        return mpfr_get_d(r23345, MPFR_RNDN);
}

static mpfr_t r23346, r23347, r23348, r23349, r23350, r23351, r23352, r23353, r23354, r23355, r23356, r23357, r23358, r23359, r23360, r23361, r23362, r23363, r23364, r23365, r23366, r23367, r23368, r23369, r23370, r23371, r23372, r23373;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23346);
        mpfr_init_set_str(r23347, "2", 10, MPFR_RNDN);
        mpfr_init(r23348);
        mpfr_init(r23349);
        mpfr_init(r23350);
        mpfr_init(r23351);
        mpfr_init(r23352);
        mpfr_init(r23353);
        mpfr_init(r23354);
        mpfr_init(r23355);
        mpfr_init(r23356);
        mpfr_init(r23357);
        mpfr_init(r23358);
        mpfr_init(r23359);
        mpfr_init(r23360);
        mpfr_init(r23361);
        mpfr_init(r23362);
        mpfr_init(r23363);
        mpfr_init(r23364);
        mpfr_init(r23365);
        mpfr_init(r23366);
        mpfr_init(r23367);
        mpfr_init_set_str(r23368, "1", 10, MPFR_RNDN);
        mpfr_init(r23369);
        mpfr_init(r23370);
        mpfr_init(r23371);
        mpfr_init(r23372);
        mpfr_init(r23373);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r23346, R, MPFR_RNDN);
        ;
        mpfr_set_d(r23348, phi1, MPFR_RNDN);
        mpfr_set_d(r23349, phi2, MPFR_RNDN);
        mpfr_sub(r23350, r23348, r23349, MPFR_RNDN);
        mpfr_div(r23351, r23350, r23347, MPFR_RNDN);
        mpfr_sin(r23352, r23351, MPFR_RNDN);
        mpfr_pow(r23353, r23352, r23347, MPFR_RNDN);
        mpfr_cos(r23354, r23348, MPFR_RNDN);
        mpfr_cos(r23355, r23349, MPFR_RNDN);
        mpfr_mul(r23356, r23354, r23355, MPFR_RNDN);
        mpfr_set_d(r23357, lambda1, MPFR_RNDN);
        mpfr_set_d(r23358, lambda2, MPFR_RNDN);
        mpfr_sub(r23359, r23357, r23358, MPFR_RNDN);
        mpfr_div(r23360, r23359, r23347, MPFR_RNDN);
        mpfr_sin(r23361, r23360, MPFR_RNDN);
        mpfr_expm1(r23362, r23361, MPFR_RNDN);
        mpfr_log1p(r23363, r23362, MPFR_RNDN);
        mpfr_mul(r23364, r23356, r23363, MPFR_RNDN);
        mpfr_mul(r23365, r23364, r23361, MPFR_RNDN);
        mpfr_add(r23366, r23353, r23365, MPFR_RNDN);
        mpfr_sqrt(r23367, r23366, MPFR_RNDN);
        ;
        mpfr_sub(r23369, r23368, r23366, MPFR_RNDN);
        mpfr_sqrt(r23370, r23369, MPFR_RNDN);
        mpfr_atan2(r23371, r23367, r23370, MPFR_RNDN);
        mpfr_mul(r23372, r23347, r23371, MPFR_RNDN);
        mpfr_mul(r23373, r23346, r23372, MPFR_RNDN);
        return mpfr_get_d(r23373, MPFR_RNDN);
}

static mpfr_t r23374, r23375, r23376, r23377, r23378, r23379, r23380, r23381, r23382, r23383, r23384, r23385, r23386, r23387, r23388, r23389, r23390, r23391, r23392, r23393, r23394, r23395, r23396, r23397, r23398, r23399, r23400, r23401;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23374);
        mpfr_init_set_str(r23375, "2", 10, MPFR_RNDN);
        mpfr_init(r23376);
        mpfr_init(r23377);
        mpfr_init(r23378);
        mpfr_init(r23379);
        mpfr_init(r23380);
        mpfr_init(r23381);
        mpfr_init(r23382);
        mpfr_init(r23383);
        mpfr_init(r23384);
        mpfr_init(r23385);
        mpfr_init(r23386);
        mpfr_init(r23387);
        mpfr_init(r23388);
        mpfr_init(r23389);
        mpfr_init(r23390);
        mpfr_init(r23391);
        mpfr_init(r23392);
        mpfr_init(r23393);
        mpfr_init(r23394);
        mpfr_init(r23395);
        mpfr_init_set_str(r23396, "1", 10, MPFR_RNDN);
        mpfr_init(r23397);
        mpfr_init(r23398);
        mpfr_init(r23399);
        mpfr_init(r23400);
        mpfr_init(r23401);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r23374, R, MPFR_RNDN);
        ;
        mpfr_set_d(r23376, phi1, MPFR_RNDN);
        mpfr_set_d(r23377, phi2, MPFR_RNDN);
        mpfr_sub(r23378, r23376, r23377, MPFR_RNDN);
        mpfr_div(r23379, r23378, r23375, MPFR_RNDN);
        mpfr_sin(r23380, r23379, MPFR_RNDN);
        mpfr_pow(r23381, r23380, r23375, MPFR_RNDN);
        mpfr_cos(r23382, r23376, MPFR_RNDN);
        mpfr_cos(r23383, r23377, MPFR_RNDN);
        mpfr_mul(r23384, r23382, r23383, MPFR_RNDN);
        mpfr_set_d(r23385, lambda1, MPFR_RNDN);
        mpfr_set_d(r23386, lambda2, MPFR_RNDN);
        mpfr_sub(r23387, r23385, r23386, MPFR_RNDN);
        mpfr_div(r23388, r23387, r23375, MPFR_RNDN);
        mpfr_sin(r23389, r23388, MPFR_RNDN);
        mpfr_expm1(r23390, r23389, MPFR_RNDN);
        mpfr_log1p(r23391, r23390, MPFR_RNDN);
        mpfr_mul(r23392, r23384, r23391, MPFR_RNDN);
        mpfr_mul(r23393, r23392, r23389, MPFR_RNDN);
        mpfr_add(r23394, r23381, r23393, MPFR_RNDN);
        mpfr_sqrt(r23395, r23394, MPFR_RNDN);
        ;
        mpfr_sub(r23397, r23396, r23394, MPFR_RNDN);
        mpfr_sqrt(r23398, r23397, MPFR_RNDN);
        mpfr_atan2(r23399, r23395, r23398, MPFR_RNDN);
        mpfr_mul(r23400, r23375, r23399, MPFR_RNDN);
        mpfr_mul(r23401, r23374, r23400, MPFR_RNDN);
        return mpfr_get_d(r23401, MPFR_RNDN);
}

