#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 r22149 = R;
        float r22150 = 2;
        float r22151 = phi1;
        float r22152 = phi2;
        float r22153 = r22151 - r22152;
        float r22154 = r22153 / r22150;
        float r22155 = sin(r22154);
        float r22156 = pow(r22155, r22150);
        float r22157 = cos(r22151);
        float r22158 = cos(r22152);
        float r22159 = r22157 * r22158;
        float r22160 = lambda1;
        float r22161 = lambda2;
        float r22162 = r22160 - r22161;
        float r22163 = r22162 / r22150;
        float r22164 = sin(r22163);
        float r22165 = r22159 * r22164;
        float r22166 = r22165 * r22164;
        float r22167 = r22156 + r22166;
        float r22168 = sqrt(r22167);
        float r22169 = 1;
        float r22170 = r22169 - r22167;
        float r22171 = sqrt(r22170);
        float r22172 = atan2(r22168, r22171);
        float r22173 = r22150 * r22172;
        float r22174 = r22149 * r22173;
        return r22174;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r22175 = R;
        double r22176 = 2;
        double r22177 = phi1;
        double r22178 = phi2;
        double r22179 = r22177 - r22178;
        double r22180 = r22179 / r22176;
        double r22181 = sin(r22180);
        double r22182 = pow(r22181, r22176);
        double r22183 = cos(r22177);
        double r22184 = cos(r22178);
        double r22185 = r22183 * r22184;
        double r22186 = lambda1;
        double r22187 = lambda2;
        double r22188 = r22186 - r22187;
        double r22189 = r22188 / r22176;
        double r22190 = sin(r22189);
        double r22191 = r22185 * r22190;
        double r22192 = r22191 * r22190;
        double r22193 = r22182 + r22192;
        double r22194 = sqrt(r22193);
        double r22195 = 1;
        double r22196 = r22195 - r22193;
        double r22197 = sqrt(r22196);
        double r22198 = atan2(r22194, r22197);
        double r22199 = r22176 * r22198;
        double r22200 = r22175 * r22199;
        return r22200;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r22201 = R;
        float r22202 = r22201 + r22201;
        float r22203 = phi1;
        float r22204 = phi2;
        float r22205 = r22203 - r22204;
        float r22206 = 2;
        float r22207 = r22205 / r22206;
        float r22208 = sin(r22207);
        float r22209 = r22208 * r22208;
        float r22210 = lambda1;
        float r22211 = lambda2;
        float r22212 = r22210 - r22211;
        float r22213 = r22212 / r22206;
        float r22214 = sin(r22213);
        float r22215 = cos(r22203);
        float r22216 = cos(r22204);
        float r22217 = r22215 * r22216;
        float r22218 = r22214 * r22217;
        float r22219 = r22214 * r22218;
        float r22220 = r22209 + r22219;
        float r22221 = sqrt(r22220);
        float r22222 = cos(r22207);
        float r22223 = r22222 * r22222;
        float r22224 = 1/2;
        float r22225 = r22224 * r22212;
        float r22226 = sin(r22225);
        float r22227 = r22215 * r22226;
        float r22228 = r22214 * r22216;
        float r22229 = r22227 * r22228;
        float r22230 = r22223 - r22229;
        float r22231 = sqrt(r22230);
        float r22232 = atan2(r22221, r22231);
        float r22233 = r22202 * r22232;
        return r22233;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r22234 = R;
        double r22235 = r22234 + r22234;
        double r22236 = phi1;
        double r22237 = phi2;
        double r22238 = r22236 - r22237;
        double r22239 = 2;
        double r22240 = r22238 / r22239;
        double r22241 = sin(r22240);
        double r22242 = r22241 * r22241;
        double r22243 = lambda1;
        double r22244 = lambda2;
        double r22245 = r22243 - r22244;
        double r22246 = r22245 / r22239;
        double r22247 = sin(r22246);
        double r22248 = cos(r22236);
        double r22249 = cos(r22237);
        double r22250 = r22248 * r22249;
        double r22251 = r22247 * r22250;
        double r22252 = r22247 * r22251;
        double r22253 = r22242 + r22252;
        double r22254 = sqrt(r22253);
        double r22255 = cos(r22240);
        double r22256 = r22255 * r22255;
        double r22257 = 1/2;
        double r22258 = r22257 * r22245;
        double r22259 = sin(r22258);
        double r22260 = r22248 * r22259;
        double r22261 = r22247 * r22249;
        double r22262 = r22260 * r22261;
        double r22263 = r22256 - r22262;
        double r22264 = sqrt(r22263);
        double r22265 = atan2(r22254, r22264);
        double r22266 = r22235 * r22265;
        return r22266;
}

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 r22267, r22268, r22269, r22270, r22271, r22272, r22273, r22274, r22275, r22276, r22277, r22278, r22279, r22280, r22281, r22282, r22283, r22284, r22285, r22286, r22287, r22288, r22289, r22290, r22291, r22292;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22267);
        mpfr_init_set_str(r22268, "2", 10, MPFR_RNDN);
        mpfr_init(r22269);
        mpfr_init(r22270);
        mpfr_init(r22271);
        mpfr_init(r22272);
        mpfr_init(r22273);
        mpfr_init(r22274);
        mpfr_init(r22275);
        mpfr_init(r22276);
        mpfr_init(r22277);
        mpfr_init(r22278);
        mpfr_init(r22279);
        mpfr_init(r22280);
        mpfr_init(r22281);
        mpfr_init(r22282);
        mpfr_init(r22283);
        mpfr_init(r22284);
        mpfr_init(r22285);
        mpfr_init(r22286);
        mpfr_init_set_str(r22287, "1", 10, MPFR_RNDN);
        mpfr_init(r22288);
        mpfr_init(r22289);
        mpfr_init(r22290);
        mpfr_init(r22291);
        mpfr_init(r22292);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22267, R, MPFR_RNDN);
        ;
        mpfr_set_d(r22269, phi1, MPFR_RNDN);
        mpfr_set_d(r22270, phi2, MPFR_RNDN);
        mpfr_sub(r22271, r22269, r22270, MPFR_RNDN);
        mpfr_div(r22272, r22271, r22268, MPFR_RNDN);
        mpfr_sin(r22273, r22272, MPFR_RNDN);
        mpfr_pow(r22274, r22273, r22268, MPFR_RNDN);
        mpfr_cos(r22275, r22269, MPFR_RNDN);
        mpfr_cos(r22276, r22270, MPFR_RNDN);
        mpfr_mul(r22277, r22275, r22276, MPFR_RNDN);
        mpfr_set_d(r22278, lambda1, MPFR_RNDN);
        mpfr_set_d(r22279, lambda2, MPFR_RNDN);
        mpfr_sub(r22280, r22278, r22279, MPFR_RNDN);
        mpfr_div(r22281, r22280, r22268, MPFR_RNDN);
        mpfr_sin(r22282, r22281, MPFR_RNDN);
        mpfr_mul(r22283, r22277, r22282, MPFR_RNDN);
        mpfr_mul(r22284, r22283, r22282, MPFR_RNDN);
        mpfr_add(r22285, r22274, r22284, MPFR_RNDN);
        mpfr_sqrt(r22286, r22285, MPFR_RNDN);
        ;
        mpfr_sub(r22288, r22287, r22285, MPFR_RNDN);
        mpfr_sqrt(r22289, r22288, MPFR_RNDN);
        mpfr_atan2(r22290, r22286, r22289, MPFR_RNDN);
        mpfr_mul(r22291, r22268, r22290, MPFR_RNDN);
        mpfr_mul(r22292, r22267, r22291, MPFR_RNDN);
        return mpfr_get_d(r22292, MPFR_RNDN);
}

static mpfr_t 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, r22318, r22319, r22320, r22321, r22322, r22323, r22324, r22325;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22293);
        mpfr_init(r22294);
        mpfr_init(r22295);
        mpfr_init(r22296);
        mpfr_init(r22297);
        mpfr_init_set_str(r22298, "2", 10, MPFR_RNDN);
        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(r22312);
        mpfr_init(r22313);
        mpfr_init(r22314);
        mpfr_init(r22315);
        mpfr_init_set_str(r22316, "1/2", 10, MPFR_RNDN);
        mpfr_init(r22317);
        mpfr_init(r22318);
        mpfr_init(r22319);
        mpfr_init(r22320);
        mpfr_init(r22321);
        mpfr_init(r22322);
        mpfr_init(r22323);
        mpfr_init(r22324);
        mpfr_init(r22325);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22293, R, MPFR_RNDN);
        mpfr_add(r22294, r22293, r22293, MPFR_RNDN);
        mpfr_set_d(r22295, phi1, MPFR_RNDN);
        mpfr_set_d(r22296, phi2, MPFR_RNDN);
        mpfr_sub(r22297, r22295, r22296, MPFR_RNDN);
        ;
        mpfr_div(r22299, r22297, r22298, MPFR_RNDN);
        mpfr_sin(r22300, r22299, MPFR_RNDN);
        mpfr_mul(r22301, r22300, r22300, MPFR_RNDN);
        mpfr_set_d(r22302, lambda1, MPFR_RNDN);
        mpfr_set_d(r22303, lambda2, MPFR_RNDN);
        mpfr_sub(r22304, r22302, r22303, MPFR_RNDN);
        mpfr_div(r22305, r22304, r22298, MPFR_RNDN);
        mpfr_sin(r22306, r22305, MPFR_RNDN);
        mpfr_cos(r22307, r22295, MPFR_RNDN);
        mpfr_cos(r22308, r22296, MPFR_RNDN);
        mpfr_mul(r22309, r22307, r22308, MPFR_RNDN);
        mpfr_mul(r22310, r22306, r22309, MPFR_RNDN);
        mpfr_mul(r22311, r22306, r22310, MPFR_RNDN);
        mpfr_add(r22312, r22301, r22311, MPFR_RNDN);
        mpfr_sqrt(r22313, r22312, MPFR_RNDN);
        mpfr_cos(r22314, r22299, MPFR_RNDN);
        mpfr_mul(r22315, r22314, r22314, MPFR_RNDN);
        ;
        mpfr_mul(r22317, r22316, r22304, MPFR_RNDN);
        mpfr_sin(r22318, r22317, MPFR_RNDN);
        mpfr_mul(r22319, r22307, r22318, MPFR_RNDN);
        mpfr_mul(r22320, r22306, r22308, MPFR_RNDN);
        mpfr_mul(r22321, r22319, r22320, MPFR_RNDN);
        mpfr_sub(r22322, r22315, r22321, MPFR_RNDN);
        mpfr_sqrt(r22323, r22322, MPFR_RNDN);
        mpfr_atan2(r22324, r22313, r22323, MPFR_RNDN);
        mpfr_mul(r22325, r22294, r22324, MPFR_RNDN);
        return mpfr_get_d(r22325, MPFR_RNDN);
}

static mpfr_t 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, r22357, r22358;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22326);
        mpfr_init(r22327);
        mpfr_init(r22328);
        mpfr_init(r22329);
        mpfr_init(r22330);
        mpfr_init_set_str(r22331, "2", 10, MPFR_RNDN);
        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, "1/2", 10, MPFR_RNDN);
        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);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22326, R, MPFR_RNDN);
        mpfr_add(r22327, r22326, r22326, MPFR_RNDN);
        mpfr_set_d(r22328, phi1, MPFR_RNDN);
        mpfr_set_d(r22329, phi2, MPFR_RNDN);
        mpfr_sub(r22330, r22328, r22329, MPFR_RNDN);
        ;
        mpfr_div(r22332, r22330, r22331, MPFR_RNDN);
        mpfr_sin(r22333, r22332, MPFR_RNDN);
        mpfr_mul(r22334, r22333, 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, r22331, MPFR_RNDN);
        mpfr_sin(r22339, r22338, MPFR_RNDN);
        mpfr_cos(r22340, r22328, MPFR_RNDN);
        mpfr_cos(r22341, r22329, MPFR_RNDN);
        mpfr_mul(r22342, r22340, r22341, MPFR_RNDN);
        mpfr_mul(r22343, r22339, r22342, MPFR_RNDN);
        mpfr_mul(r22344, r22339, r22343, MPFR_RNDN);
        mpfr_add(r22345, r22334, r22344, MPFR_RNDN);
        mpfr_sqrt(r22346, r22345, MPFR_RNDN);
        mpfr_cos(r22347, r22332, MPFR_RNDN);
        mpfr_mul(r22348, r22347, r22347, MPFR_RNDN);
        ;
        mpfr_mul(r22350, r22349, r22337, MPFR_RNDN);
        mpfr_sin(r22351, r22350, MPFR_RNDN);
        mpfr_mul(r22352, r22340, r22351, MPFR_RNDN);
        mpfr_mul(r22353, r22339, r22341, MPFR_RNDN);
        mpfr_mul(r22354, r22352, r22353, MPFR_RNDN);
        mpfr_sub(r22355, r22348, r22354, MPFR_RNDN);
        mpfr_sqrt(r22356, r22355, MPFR_RNDN);
        mpfr_atan2(r22357, r22346, r22356, MPFR_RNDN);
        mpfr_mul(r22358, r22327, r22357, MPFR_RNDN);
        return mpfr_get_d(r22358, MPFR_RNDN);
}