#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 r22162 = R;
        float r22163 = 2;
        float r22164 = phi1;
        float r22165 = phi2;
        float r22166 = r22164 - r22165;
        float r22167 = r22166 / r22163;
        float r22168 = sin(r22167);
        float r22169 = pow(r22168, r22163);
        float r22170 = cos(r22164);
        float r22171 = cos(r22165);
        float r22172 = r22170 * r22171;
        float r22173 = lambda1;
        float r22174 = lambda2;
        float r22175 = r22173 - r22174;
        float r22176 = r22175 / r22163;
        float r22177 = sin(r22176);
        float r22178 = r22172 * r22177;
        float r22179 = r22178 * r22177;
        float r22180 = r22169 + r22179;
        float r22181 = sqrt(r22180);
        float r22182 = 1;
        float r22183 = r22182 - r22180;
        float r22184 = sqrt(r22183);
        float r22185 = atan2(r22181, r22184);
        float r22186 = r22163 * r22185;
        float r22187 = r22162 * r22186;
        return r22187;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r22188 = R;
        double r22189 = 2;
        double r22190 = phi1;
        double r22191 = phi2;
        double r22192 = r22190 - r22191;
        double r22193 = r22192 / r22189;
        double r22194 = sin(r22193);
        double r22195 = pow(r22194, r22189);
        double r22196 = cos(r22190);
        double r22197 = cos(r22191);
        double r22198 = r22196 * r22197;
        double r22199 = lambda1;
        double r22200 = lambda2;
        double r22201 = r22199 - r22200;
        double r22202 = r22201 / r22189;
        double r22203 = sin(r22202);
        double r22204 = r22198 * r22203;
        double r22205 = r22204 * r22203;
        double r22206 = r22195 + r22205;
        double r22207 = sqrt(r22206);
        double r22208 = 1;
        double r22209 = r22208 - r22206;
        double r22210 = sqrt(r22209);
        double r22211 = atan2(r22207, r22210);
        double r22212 = r22189 * r22211;
        double r22213 = r22188 * r22212;
        return r22213;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r22214 = R;
        float r22215 = 2;
        float r22216 = phi1;
        float r22217 = r22216 / r22215;
        float r22218 = sin(r22217);
        float r22219 = phi2;
        float r22220 = r22219 / r22215;
        float r22221 = cos(r22220);
        float r22222 = r22218 * r22221;
        float r22223 = cos(r22217);
        float r22224 = sin(r22220);
        float r22225 = r22223 * r22224;
        float r22226 = r22222 - r22225;
        float r22227 = pow(r22226, r22215);
        float r22228 = cos(r22216);
        float r22229 = cos(r22219);
        float r22230 = r22228 * r22229;
        float r22231 = lambda1;
        float r22232 = lambda2;
        float r22233 = r22231 - r22232;
        float r22234 = r22233 / r22215;
        float r22235 = sin(r22234);
        float r22236 = r22230 * r22235;
        float r22237 = r22236 * r22235;
        float r22238 = r22227 + r22237;
        float r22239 = sqrt(r22238);
        float r22240 = 1;
        float r22241 = log1p(r22235);
        float r22242 = expm1(r22241);
        float r22243 = r22230 * r22242;
        float r22244 = exp(r22235);
        float r22245 = log(r22244);
        float r22246 = r22243 * r22245;
        float r22247 = r22227 + r22246;
        float r22248 = r22240 - r22247;
        float r22249 = sqrt(r22248);
        float r22250 = atan2(r22239, r22249);
        float r22251 = r22215 * r22250;
        float r22252 = r22214 * r22251;
        return r22252;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r22253 = R;
        double r22254 = 2;
        double r22255 = phi1;
        double r22256 = r22255 / r22254;
        double r22257 = sin(r22256);
        double r22258 = phi2;
        double r22259 = r22258 / r22254;
        double r22260 = cos(r22259);
        double r22261 = r22257 * r22260;
        double r22262 = cos(r22256);
        double r22263 = sin(r22259);
        double r22264 = r22262 * r22263;
        double r22265 = r22261 - r22264;
        double r22266 = pow(r22265, r22254);
        double r22267 = cos(r22255);
        double r22268 = cos(r22258);
        double r22269 = r22267 * r22268;
        double r22270 = lambda1;
        double r22271 = lambda2;
        double r22272 = r22270 - r22271;
        double r22273 = r22272 / r22254;
        double r22274 = sin(r22273);
        double r22275 = r22269 * r22274;
        double r22276 = r22275 * r22274;
        double r22277 = r22266 + r22276;
        double r22278 = sqrt(r22277);
        double r22279 = 1;
        double r22280 = log1p(r22274);
        double r22281 = expm1(r22280);
        double r22282 = r22269 * r22281;
        double r22283 = exp(r22274);
        double r22284 = log(r22283);
        double r22285 = r22282 * r22284;
        double r22286 = r22266 + r22285;
        double r22287 = r22279 - r22286;
        double r22288 = sqrt(r22287);
        double r22289 = atan2(r22278, r22288);
        double r22290 = r22254 * r22289;
        double r22291 = r22253 * r22290;
        return r22291;
}

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 r22292, r22293, r22294, r22295, r22296, r22297, r22298, r22299, r22300, r22301, r22302, r22303, r22304, r22305, r22306, r22307, r22308, r22309, r22310, r22311, r22312, r22313, r22314, r22315, r22316, r22317;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22292);
        mpfr_init_set_str(r22293, "2", 10, MPFR_RNDN);
        mpfr_init(r22294);
        mpfr_init(r22295);
        mpfr_init(r22296);
        mpfr_init(r22297);
        mpfr_init(r22298);
        mpfr_init(r22299);
        mpfr_init(r22300);
        mpfr_init(r22301);
        mpfr_init(r22302);
        mpfr_init(r22303);
        mpfr_init(r22304);
        mpfr_init(r22305);
        mpfr_init(r22306);
        mpfr_init(r22307);
        mpfr_init(r22308);
        mpfr_init(r22309);
        mpfr_init(r22310);
        mpfr_init(r22311);
        mpfr_init_set_str(r22312, "1", 10, MPFR_RNDN);
        mpfr_init(r22313);
        mpfr_init(r22314);
        mpfr_init(r22315);
        mpfr_init(r22316);
        mpfr_init(r22317);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22292, R, MPFR_RNDN);
        ;
        mpfr_set_d(r22294, phi1, MPFR_RNDN);
        mpfr_set_d(r22295, phi2, MPFR_RNDN);
        mpfr_sub(r22296, r22294, r22295, MPFR_RNDN);
        mpfr_div(r22297, r22296, r22293, MPFR_RNDN);
        mpfr_sin(r22298, r22297, MPFR_RNDN);
        mpfr_pow(r22299, r22298, r22293, MPFR_RNDN);
        mpfr_cos(r22300, r22294, MPFR_RNDN);
        mpfr_cos(r22301, r22295, MPFR_RNDN);
        mpfr_mul(r22302, r22300, r22301, MPFR_RNDN);
        mpfr_set_d(r22303, lambda1, MPFR_RNDN);
        mpfr_set_d(r22304, lambda2, MPFR_RNDN);
        mpfr_sub(r22305, r22303, r22304, MPFR_RNDN);
        mpfr_div(r22306, r22305, r22293, MPFR_RNDN);
        mpfr_sin(r22307, r22306, MPFR_RNDN);
        mpfr_mul(r22308, r22302, r22307, MPFR_RNDN);
        mpfr_mul(r22309, r22308, r22307, MPFR_RNDN);
        mpfr_add(r22310, r22299, r22309, MPFR_RNDN);
        mpfr_sqrt(r22311, r22310, MPFR_RNDN);
        ;
        mpfr_sub(r22313, r22312, r22310, MPFR_RNDN);
        mpfr_sqrt(r22314, r22313, MPFR_RNDN);
        mpfr_atan2(r22315, r22311, r22314, MPFR_RNDN);
        mpfr_mul(r22316, r22293, r22315, MPFR_RNDN);
        mpfr_mul(r22317, r22292, r22316, MPFR_RNDN);
        return mpfr_get_d(r22317, MPFR_RNDN);
}

static mpfr_t r22318, r22319, r22320, r22321, r22322, r22323, r22324, r22325, r22326, r22327, r22328, 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, r22355, r22356;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22318);
        mpfr_init_set_str(r22319, "2", 10, MPFR_RNDN);
        mpfr_init(r22320);
        mpfr_init(r22321);
        mpfr_init(r22322);
        mpfr_init(r22323);
        mpfr_init(r22324);
        mpfr_init(r22325);
        mpfr_init(r22326);
        mpfr_init(r22327);
        mpfr_init(r22328);
        mpfr_init(r22329);
        mpfr_init(r22330);
        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_set_str(r22344, "1", 10, MPFR_RNDN);
        mpfr_init(r22345);
        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);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22318, R, MPFR_RNDN);
        ;
        mpfr_set_d(r22320, phi1, MPFR_RNDN);
        mpfr_div(r22321, r22320, r22319, MPFR_RNDN);
        mpfr_sin(r22322, r22321, MPFR_RNDN);
        mpfr_set_d(r22323, phi2, MPFR_RNDN);
        mpfr_div(r22324, r22323, r22319, MPFR_RNDN);
        mpfr_cos(r22325, r22324, MPFR_RNDN);
        mpfr_mul(r22326, r22322, r22325, MPFR_RNDN);
        mpfr_cos(r22327, r22321, MPFR_RNDN);
        mpfr_sin(r22328, r22324, MPFR_RNDN);
        mpfr_mul(r22329, r22327, r22328, MPFR_RNDN);
        mpfr_sub(r22330, r22326, r22329, MPFR_RNDN);
        mpfr_pow(r22331, r22330, r22319, MPFR_RNDN);
        mpfr_cos(r22332, r22320, MPFR_RNDN);
        mpfr_cos(r22333, r22323, MPFR_RNDN);
        mpfr_mul(r22334, r22332, r22333, MPFR_RNDN);
        mpfr_set_d(r22335, lambda1, MPFR_RNDN);
        mpfr_set_d(r22336, lambda2, MPFR_RNDN);
        mpfr_sub(r22337, r22335, r22336, MPFR_RNDN);
        mpfr_div(r22338, r22337, r22319, MPFR_RNDN);
        mpfr_sin(r22339, r22338, MPFR_RNDN);
        mpfr_mul(r22340, r22334, r22339, MPFR_RNDN);
        mpfr_mul(r22341, r22340, r22339, MPFR_RNDN);
        mpfr_add(r22342, r22331, r22341, MPFR_RNDN);
        mpfr_sqrt(r22343, r22342, MPFR_RNDN);
        ;
        mpfr_log1p(r22345, r22339, MPFR_RNDN);
        mpfr_expm1(r22346, r22345, MPFR_RNDN);
        mpfr_mul(r22347, r22334, r22346, MPFR_RNDN);
        mpfr_exp(r22348, r22339, MPFR_RNDN);
        mpfr_log(r22349, r22348, MPFR_RNDN);
        mpfr_mul(r22350, r22347, r22349, MPFR_RNDN);
        mpfr_add(r22351, r22331, r22350, MPFR_RNDN);
        mpfr_sub(r22352, r22344, r22351, MPFR_RNDN);
        mpfr_sqrt(r22353, r22352, MPFR_RNDN);
        mpfr_atan2(r22354, r22343, r22353, MPFR_RNDN);
        mpfr_mul(r22355, r22319, r22354, MPFR_RNDN);
        mpfr_mul(r22356, r22318, r22355, MPFR_RNDN);
        return mpfr_get_d(r22356, MPFR_RNDN);
}

static mpfr_t 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, r22393, r22394, r22395;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22357);
        mpfr_init_set_str(r22358, "2", 10, MPFR_RNDN);
        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(r22381);
        mpfr_init(r22382);
        mpfr_init_set_str(r22383, "1", 10, MPFR_RNDN);
        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);
        mpfr_init(r22393);
        mpfr_init(r22394);
        mpfr_init(r22395);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22357, R, MPFR_RNDN);
        ;
        mpfr_set_d(r22359, phi1, MPFR_RNDN);
        mpfr_div(r22360, r22359, r22358, MPFR_RNDN);
        mpfr_sin(r22361, r22360, MPFR_RNDN);
        mpfr_set_d(r22362, phi2, MPFR_RNDN);
        mpfr_div(r22363, r22362, r22358, MPFR_RNDN);
        mpfr_cos(r22364, r22363, MPFR_RNDN);
        mpfr_mul(r22365, r22361, r22364, MPFR_RNDN);
        mpfr_cos(r22366, r22360, MPFR_RNDN);
        mpfr_sin(r22367, r22363, MPFR_RNDN);
        mpfr_mul(r22368, r22366, r22367, MPFR_RNDN);
        mpfr_sub(r22369, r22365, r22368, MPFR_RNDN);
        mpfr_pow(r22370, r22369, r22358, MPFR_RNDN);
        mpfr_cos(r22371, r22359, MPFR_RNDN);
        mpfr_cos(r22372, r22362, MPFR_RNDN);
        mpfr_mul(r22373, r22371, r22372, MPFR_RNDN);
        mpfr_set_d(r22374, lambda1, MPFR_RNDN);
        mpfr_set_d(r22375, lambda2, MPFR_RNDN);
        mpfr_sub(r22376, r22374, r22375, MPFR_RNDN);
        mpfr_div(r22377, r22376, r22358, MPFR_RNDN);
        mpfr_sin(r22378, r22377, MPFR_RNDN);
        mpfr_mul(r22379, r22373, r22378, MPFR_RNDN);
        mpfr_mul(r22380, r22379, r22378, MPFR_RNDN);
        mpfr_add(r22381, r22370, r22380, MPFR_RNDN);
        mpfr_sqrt(r22382, r22381, MPFR_RNDN);
        ;
        mpfr_log1p(r22384, r22378, MPFR_RNDN);
        mpfr_expm1(r22385, r22384, MPFR_RNDN);
        mpfr_mul(r22386, r22373, r22385, MPFR_RNDN);
        mpfr_exp(r22387, r22378, MPFR_RNDN);
        mpfr_log(r22388, r22387, MPFR_RNDN);
        mpfr_mul(r22389, r22386, r22388, MPFR_RNDN);
        mpfr_add(r22390, r22370, r22389, MPFR_RNDN);
        mpfr_sub(r22391, r22383, r22390, MPFR_RNDN);
        mpfr_sqrt(r22392, r22391, MPFR_RNDN);
        mpfr_atan2(r22393, r22382, r22392, MPFR_RNDN);
        mpfr_mul(r22394, r22358, r22393, MPFR_RNDN);
        mpfr_mul(r22395, r22357, r22394, MPFR_RNDN);
        return mpfr_get_d(r22395, MPFR_RNDN);
}