#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 r22101 = R;
        float r22102 = 2;
        float r22103 = phi1;
        float r22104 = phi2;
        float r22105 = r22103 - r22104;
        float r22106 = r22105 / r22102;
        float r22107 = sin(r22106);
        float r22108 = pow(r22107, r22102);
        float r22109 = cos(r22103);
        float r22110 = cos(r22104);
        float r22111 = r22109 * r22110;
        float r22112 = lambda1;
        float r22113 = lambda2;
        float r22114 = r22112 - r22113;
        float r22115 = r22114 / r22102;
        float r22116 = sin(r22115);
        float r22117 = r22111 * r22116;
        float r22118 = r22117 * r22116;
        float r22119 = r22108 + r22118;
        float r22120 = sqrt(r22119);
        float r22121 = 1;
        float r22122 = r22121 - r22119;
        float r22123 = sqrt(r22122);
        float r22124 = atan2(r22120, r22123);
        float r22125 = r22102 * r22124;
        float r22126 = r22101 * r22125;
        return r22126;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r22127 = R;
        double r22128 = 2;
        double r22129 = phi1;
        double r22130 = phi2;
        double r22131 = r22129 - r22130;
        double r22132 = r22131 / r22128;
        double r22133 = sin(r22132);
        double r22134 = pow(r22133, r22128);
        double r22135 = cos(r22129);
        double r22136 = cos(r22130);
        double r22137 = r22135 * r22136;
        double r22138 = lambda1;
        double r22139 = lambda2;
        double r22140 = r22138 - r22139;
        double r22141 = r22140 / r22128;
        double r22142 = sin(r22141);
        double r22143 = r22137 * r22142;
        double r22144 = r22143 * r22142;
        double r22145 = r22134 + r22144;
        double r22146 = sqrt(r22145);
        double r22147 = 1;
        double r22148 = r22147 - r22145;
        double r22149 = sqrt(r22148);
        double r22150 = atan2(r22146, r22149);
        double r22151 = r22128 * r22150;
        double r22152 = r22127 * r22151;
        return r22152;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r22153 = R;
        float r22154 = 2;
        float r22155 = phi1;
        float r22156 = r22155 / r22154;
        float r22157 = sin(r22156);
        float r22158 = phi2;
        float r22159 = r22158 / r22154;
        float r22160 = cos(r22159);
        float r22161 = r22157 * r22160;
        float r22162 = cos(r22156);
        float r22163 = sin(r22159);
        float r22164 = r22162 * r22163;
        float r22165 = r22161 - r22164;
        float r22166 = pow(r22165, r22154);
        float r22167 = cos(r22155);
        float r22168 = cos(r22158);
        float r22169 = r22167 * r22168;
        float r22170 = lambda1;
        float r22171 = lambda2;
        float r22172 = r22170 - r22171;
        float r22173 = r22172 / r22154;
        float r22174 = sin(r22173);
        float r22175 = r22169 * r22174;
        float r22176 = log1p(r22174);
        float r22177 = expm1(r22176);
        float r22178 = r22175 * r22177;
        float r22179 = r22166 + r22178;
        float r22180 = sqrt(r22179);
        float r22181 = 1;
        float r22182 = r22175 * r22174;
        float r22183 = r22166 + r22182;
        float r22184 = r22181 - r22183;
        float r22185 = sqrt(r22184);
        float r22186 = atan2(r22180, r22185);
        float r22187 = r22154 * r22186;
        float r22188 = r22153 * r22187;
        return r22188;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r22189 = R;
        double r22190 = 2;
        double r22191 = phi1;
        double r22192 = r22191 / r22190;
        double r22193 = sin(r22192);
        double r22194 = phi2;
        double r22195 = r22194 / r22190;
        double r22196 = cos(r22195);
        double r22197 = r22193 * r22196;
        double r22198 = cos(r22192);
        double r22199 = sin(r22195);
        double r22200 = r22198 * r22199;
        double r22201 = r22197 - r22200;
        double r22202 = pow(r22201, r22190);
        double r22203 = cos(r22191);
        double r22204 = cos(r22194);
        double r22205 = r22203 * r22204;
        double r22206 = lambda1;
        double r22207 = lambda2;
        double r22208 = r22206 - r22207;
        double r22209 = r22208 / r22190;
        double r22210 = sin(r22209);
        double r22211 = r22205 * r22210;
        double r22212 = log1p(r22210);
        double r22213 = expm1(r22212);
        double r22214 = r22211 * r22213;
        double r22215 = r22202 + r22214;
        double r22216 = sqrt(r22215);
        double r22217 = 1;
        double r22218 = r22211 * r22210;
        double r22219 = r22202 + r22218;
        double r22220 = r22217 - r22219;
        double r22221 = sqrt(r22220);
        double r22222 = atan2(r22216, r22221);
        double r22223 = r22190 * r22222;
        double r22224 = r22189 * r22223;
        return r22224;
}

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 r22225, r22226, r22227, r22228, r22229, r22230, r22231, r22232, r22233, r22234, r22235, r22236, r22237, r22238, r22239, r22240, r22241, r22242, r22243, r22244, r22245, r22246, r22247, r22248, r22249, r22250;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22225);
        mpfr_init_set_str(r22226, "2", 10, MPFR_RNDN);
        mpfr_init(r22227);
        mpfr_init(r22228);
        mpfr_init(r22229);
        mpfr_init(r22230);
        mpfr_init(r22231);
        mpfr_init(r22232);
        mpfr_init(r22233);
        mpfr_init(r22234);
        mpfr_init(r22235);
        mpfr_init(r22236);
        mpfr_init(r22237);
        mpfr_init(r22238);
        mpfr_init(r22239);
        mpfr_init(r22240);
        mpfr_init(r22241);
        mpfr_init(r22242);
        mpfr_init(r22243);
        mpfr_init(r22244);
        mpfr_init_set_str(r22245, "1", 10, MPFR_RNDN);
        mpfr_init(r22246);
        mpfr_init(r22247);
        mpfr_init(r22248);
        mpfr_init(r22249);
        mpfr_init(r22250);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22225, R, MPFR_RNDN);
        ;
        mpfr_set_d(r22227, phi1, MPFR_RNDN);
        mpfr_set_d(r22228, phi2, MPFR_RNDN);
        mpfr_sub(r22229, r22227, r22228, MPFR_RNDN);
        mpfr_div(r22230, r22229, r22226, MPFR_RNDN);
        mpfr_sin(r22231, r22230, MPFR_RNDN);
        mpfr_pow(r22232, r22231, r22226, MPFR_RNDN);
        mpfr_cos(r22233, r22227, MPFR_RNDN);
        mpfr_cos(r22234, r22228, MPFR_RNDN);
        mpfr_mul(r22235, r22233, r22234, MPFR_RNDN);
        mpfr_set_d(r22236, lambda1, MPFR_RNDN);
        mpfr_set_d(r22237, lambda2, MPFR_RNDN);
        mpfr_sub(r22238, r22236, r22237, MPFR_RNDN);
        mpfr_div(r22239, r22238, r22226, MPFR_RNDN);
        mpfr_sin(r22240, r22239, MPFR_RNDN);
        mpfr_mul(r22241, r22235, r22240, MPFR_RNDN);
        mpfr_mul(r22242, r22241, r22240, MPFR_RNDN);
        mpfr_add(r22243, r22232, r22242, MPFR_RNDN);
        mpfr_sqrt(r22244, r22243, MPFR_RNDN);
        ;
        mpfr_sub(r22246, r22245, r22243, MPFR_RNDN);
        mpfr_sqrt(r22247, r22246, MPFR_RNDN);
        mpfr_atan2(r22248, r22244, r22247, MPFR_RNDN);
        mpfr_mul(r22249, r22226, r22248, MPFR_RNDN);
        mpfr_mul(r22250, r22225, r22249, MPFR_RNDN);
        return mpfr_get_d(r22250, MPFR_RNDN);
}

static mpfr_t r22251, r22252, r22253, r22254, r22255, r22256, r22257, r22258, r22259, r22260, r22261, r22262, r22263, r22264, r22265, r22266, r22267, r22268, r22269, r22270, r22271, r22272, r22273, r22274, r22275, r22276, r22277, r22278, r22279, r22280, r22281, r22282, r22283, r22284, r22285, r22286;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22251);
        mpfr_init_set_str(r22252, "2", 10, MPFR_RNDN);
        mpfr_init(r22253);
        mpfr_init(r22254);
        mpfr_init(r22255);
        mpfr_init(r22256);
        mpfr_init(r22257);
        mpfr_init(r22258);
        mpfr_init(r22259);
        mpfr_init(r22260);
        mpfr_init(r22261);
        mpfr_init(r22262);
        mpfr_init(r22263);
        mpfr_init(r22264);
        mpfr_init(r22265);
        mpfr_init(r22266);
        mpfr_init(r22267);
        mpfr_init(r22268);
        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_set_str(r22279, "1", 10, MPFR_RNDN);
        mpfr_init(r22280);
        mpfr_init(r22281);
        mpfr_init(r22282);
        mpfr_init(r22283);
        mpfr_init(r22284);
        mpfr_init(r22285);
        mpfr_init(r22286);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22251, R, MPFR_RNDN);
        ;
        mpfr_set_d(r22253, phi1, MPFR_RNDN);
        mpfr_div(r22254, r22253, r22252, MPFR_RNDN);
        mpfr_sin(r22255, r22254, MPFR_RNDN);
        mpfr_set_d(r22256, phi2, MPFR_RNDN);
        mpfr_div(r22257, r22256, r22252, MPFR_RNDN);
        mpfr_cos(r22258, r22257, MPFR_RNDN);
        mpfr_mul(r22259, r22255, r22258, MPFR_RNDN);
        mpfr_cos(r22260, r22254, MPFR_RNDN);
        mpfr_sin(r22261, r22257, MPFR_RNDN);
        mpfr_mul(r22262, r22260, r22261, MPFR_RNDN);
        mpfr_sub(r22263, r22259, r22262, MPFR_RNDN);
        mpfr_pow(r22264, r22263, r22252, MPFR_RNDN);
        mpfr_cos(r22265, r22253, MPFR_RNDN);
        mpfr_cos(r22266, r22256, MPFR_RNDN);
        mpfr_mul(r22267, r22265, r22266, MPFR_RNDN);
        mpfr_set_d(r22268, lambda1, MPFR_RNDN);
        mpfr_set_d(r22269, lambda2, MPFR_RNDN);
        mpfr_sub(r22270, r22268, r22269, MPFR_RNDN);
        mpfr_div(r22271, r22270, r22252, MPFR_RNDN);
        mpfr_sin(r22272, r22271, MPFR_RNDN);
        mpfr_mul(r22273, r22267, r22272, MPFR_RNDN);
        mpfr_log1p(r22274, r22272, MPFR_RNDN);
        mpfr_expm1(r22275, r22274, MPFR_RNDN);
        mpfr_mul(r22276, r22273, r22275, MPFR_RNDN);
        mpfr_add(r22277, r22264, r22276, MPFR_RNDN);
        mpfr_sqrt(r22278, r22277, MPFR_RNDN);
        ;
        mpfr_mul(r22280, r22273, r22272, MPFR_RNDN);
        mpfr_add(r22281, r22264, r22280, MPFR_RNDN);
        mpfr_sub(r22282, r22279, r22281, MPFR_RNDN);
        mpfr_sqrt(r22283, r22282, MPFR_RNDN);
        mpfr_atan2(r22284, r22278, r22283, MPFR_RNDN);
        mpfr_mul(r22285, r22252, r22284, MPFR_RNDN);
        mpfr_mul(r22286, r22251, r22285, MPFR_RNDN);
        return mpfr_get_d(r22286, MPFR_RNDN);
}

static mpfr_t r22287, r22288, r22289, r22290, r22291, 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, r22318, r22319, r22320, r22321, r22322;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22287);
        mpfr_init_set_str(r22288, "2", 10, MPFR_RNDN);
        mpfr_init(r22289);
        mpfr_init(r22290);
        mpfr_init(r22291);
        mpfr_init(r22292);
        mpfr_init(r22293);
        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(r22312);
        mpfr_init(r22313);
        mpfr_init(r22314);
        mpfr_init_set_str(r22315, "1", 10, MPFR_RNDN);
        mpfr_init(r22316);
        mpfr_init(r22317);
        mpfr_init(r22318);
        mpfr_init(r22319);
        mpfr_init(r22320);
        mpfr_init(r22321);
        mpfr_init(r22322);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22287, R, MPFR_RNDN);
        ;
        mpfr_set_d(r22289, phi1, MPFR_RNDN);
        mpfr_div(r22290, r22289, r22288, MPFR_RNDN);
        mpfr_sin(r22291, r22290, MPFR_RNDN);
        mpfr_set_d(r22292, phi2, MPFR_RNDN);
        mpfr_div(r22293, r22292, r22288, MPFR_RNDN);
        mpfr_cos(r22294, r22293, MPFR_RNDN);
        mpfr_mul(r22295, r22291, r22294, MPFR_RNDN);
        mpfr_cos(r22296, r22290, MPFR_RNDN);
        mpfr_sin(r22297, r22293, MPFR_RNDN);
        mpfr_mul(r22298, r22296, r22297, MPFR_RNDN);
        mpfr_sub(r22299, r22295, r22298, MPFR_RNDN);
        mpfr_pow(r22300, r22299, r22288, MPFR_RNDN);
        mpfr_cos(r22301, r22289, MPFR_RNDN);
        mpfr_cos(r22302, r22292, MPFR_RNDN);
        mpfr_mul(r22303, r22301, r22302, MPFR_RNDN);
        mpfr_set_d(r22304, lambda1, MPFR_RNDN);
        mpfr_set_d(r22305, lambda2, MPFR_RNDN);
        mpfr_sub(r22306, r22304, r22305, MPFR_RNDN);
        mpfr_div(r22307, r22306, r22288, MPFR_RNDN);
        mpfr_sin(r22308, r22307, MPFR_RNDN);
        mpfr_mul(r22309, r22303, r22308, MPFR_RNDN);
        mpfr_log1p(r22310, r22308, MPFR_RNDN);
        mpfr_expm1(r22311, r22310, MPFR_RNDN);
        mpfr_mul(r22312, r22309, r22311, MPFR_RNDN);
        mpfr_add(r22313, r22300, r22312, MPFR_RNDN);
        mpfr_sqrt(r22314, r22313, MPFR_RNDN);
        ;
        mpfr_mul(r22316, r22309, r22308, MPFR_RNDN);
        mpfr_add(r22317, r22300, r22316, MPFR_RNDN);
        mpfr_sub(r22318, r22315, r22317, MPFR_RNDN);
        mpfr_sqrt(r22319, r22318, MPFR_RNDN);
        mpfr_atan2(r22320, r22314, r22319, MPFR_RNDN);
        mpfr_mul(r22321, r22288, r22320, MPFR_RNDN);
        mpfr_mul(r22322, r22287, r22321, MPFR_RNDN);
        return mpfr_get_d(r22322, MPFR_RNDN);
}