#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 r22124 = R;
        float r22125 = 2;
        float r22126 = phi1;
        float r22127 = phi2;
        float r22128 = r22126 - r22127;
        float r22129 = r22128 / r22125;
        float r22130 = sin(r22129);
        float r22131 = pow(r22130, r22125);
        float r22132 = cos(r22126);
        float r22133 = cos(r22127);
        float r22134 = r22132 * r22133;
        float r22135 = lambda1;
        float r22136 = lambda2;
        float r22137 = r22135 - r22136;
        float r22138 = r22137 / r22125;
        float r22139 = sin(r22138);
        float r22140 = r22134 * r22139;
        float r22141 = r22140 * r22139;
        float r22142 = r22131 + r22141;
        float r22143 = sqrt(r22142);
        float r22144 = 1;
        float r22145 = r22144 - r22142;
        float r22146 = sqrt(r22145);
        float r22147 = atan2(r22143, r22146);
        float r22148 = r22125 * r22147;
        float r22149 = r22124 * r22148;
        return r22149;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r22150 = R;
        double r22151 = 2;
        double r22152 = phi1;
        double r22153 = phi2;
        double r22154 = r22152 - r22153;
        double r22155 = r22154 / r22151;
        double r22156 = sin(r22155);
        double r22157 = pow(r22156, r22151);
        double r22158 = cos(r22152);
        double r22159 = cos(r22153);
        double r22160 = r22158 * r22159;
        double r22161 = lambda1;
        double r22162 = lambda2;
        double r22163 = r22161 - r22162;
        double r22164 = r22163 / r22151;
        double r22165 = sin(r22164);
        double r22166 = r22160 * r22165;
        double r22167 = r22166 * r22165;
        double r22168 = r22157 + r22167;
        double r22169 = sqrt(r22168);
        double r22170 = 1;
        double r22171 = r22170 - r22168;
        double r22172 = sqrt(r22171);
        double r22173 = atan2(r22169, r22172);
        double r22174 = r22151 * r22173;
        double r22175 = r22150 * r22174;
        return r22175;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r22176 = R;
        float r22177 = 2;
        float r22178 = phi1;
        float r22179 = r22178 / r22177;
        float r22180 = sin(r22179);
        float r22181 = phi2;
        float r22182 = r22181 / r22177;
        float r22183 = cos(r22182);
        float r22184 = r22180 * r22183;
        float r22185 = cos(r22179);
        float r22186 = sin(r22182);
        float r22187 = r22185 * r22186;
        float r22188 = r22184 - r22187;
        float r22189 = pow(r22188, r22177);
        float r22190 = cos(r22178);
        float r22191 = cos(r22181);
        float r22192 = r22190 * r22191;
        float r22193 = lambda1;
        float r22194 = lambda2;
        float r22195 = r22193 - r22194;
        float r22196 = r22195 / r22177;
        float r22197 = sin(r22196);
        float r22198 = r22192 * r22197;
        float r22199 = expm1(r22197);
        float r22200 = log1p(r22199);
        float r22201 = r22198 * r22200;
        float r22202 = r22189 + r22201;
        float r22203 = sqrt(r22202);
        float r22204 = 1;
        float r22205 = r22204 - r22202;
        float r22206 = sqrt(r22205);
        float r22207 = atan2(r22203, r22206);
        float r22208 = r22177 * r22207;
        float r22209 = r22176 * r22208;
        return r22209;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r22210 = R;
        double r22211 = 2;
        double r22212 = phi1;
        double r22213 = r22212 / r22211;
        double r22214 = sin(r22213);
        double r22215 = phi2;
        double r22216 = r22215 / r22211;
        double r22217 = cos(r22216);
        double r22218 = r22214 * r22217;
        double r22219 = cos(r22213);
        double r22220 = sin(r22216);
        double r22221 = r22219 * r22220;
        double r22222 = r22218 - r22221;
        double r22223 = pow(r22222, r22211);
        double r22224 = cos(r22212);
        double r22225 = cos(r22215);
        double r22226 = r22224 * r22225;
        double r22227 = lambda1;
        double r22228 = lambda2;
        double r22229 = r22227 - r22228;
        double r22230 = r22229 / r22211;
        double r22231 = sin(r22230);
        double r22232 = r22226 * r22231;
        double r22233 = expm1(r22231);
        double r22234 = log1p(r22233);
        double r22235 = r22232 * r22234;
        double r22236 = r22223 + r22235;
        double r22237 = sqrt(r22236);
        double r22238 = 1;
        double r22239 = r22238 - r22236;
        double r22240 = sqrt(r22239);
        double r22241 = atan2(r22237, r22240);
        double r22242 = r22211 * r22241;
        double r22243 = r22210 * r22242;
        return r22243;
}

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 r22244, r22245, r22246, r22247, r22248, r22249, r22250, r22251, r22252, r22253, r22254, r22255, r22256, r22257, r22258, r22259, r22260, r22261, r22262, r22263, r22264, r22265, r22266, r22267, r22268, r22269;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22244);
        mpfr_init_set_str(r22245, "2", 10, MPFR_RNDN);
        mpfr_init(r22246);
        mpfr_init(r22247);
        mpfr_init(r22248);
        mpfr_init(r22249);
        mpfr_init(r22250);
        mpfr_init(r22251);
        mpfr_init(r22252);
        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_set_str(r22264, "1", 10, MPFR_RNDN);
        mpfr_init(r22265);
        mpfr_init(r22266);
        mpfr_init(r22267);
        mpfr_init(r22268);
        mpfr_init(r22269);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22244, R, MPFR_RNDN);
        ;
        mpfr_set_d(r22246, phi1, MPFR_RNDN);
        mpfr_set_d(r22247, phi2, MPFR_RNDN);
        mpfr_sub(r22248, r22246, r22247, MPFR_RNDN);
        mpfr_div(r22249, r22248, r22245, MPFR_RNDN);
        mpfr_sin(r22250, r22249, MPFR_RNDN);
        mpfr_pow(r22251, r22250, r22245, MPFR_RNDN);
        mpfr_cos(r22252, r22246, MPFR_RNDN);
        mpfr_cos(r22253, r22247, MPFR_RNDN);
        mpfr_mul(r22254, r22252, r22253, MPFR_RNDN);
        mpfr_set_d(r22255, lambda1, MPFR_RNDN);
        mpfr_set_d(r22256, lambda2, MPFR_RNDN);
        mpfr_sub(r22257, r22255, r22256, MPFR_RNDN);
        mpfr_div(r22258, r22257, r22245, MPFR_RNDN);
        mpfr_sin(r22259, r22258, MPFR_RNDN);
        mpfr_mul(r22260, r22254, r22259, MPFR_RNDN);
        mpfr_mul(r22261, r22260, r22259, MPFR_RNDN);
        mpfr_add(r22262, r22251, r22261, MPFR_RNDN);
        mpfr_sqrt(r22263, r22262, MPFR_RNDN);
        ;
        mpfr_sub(r22265, r22264, r22262, MPFR_RNDN);
        mpfr_sqrt(r22266, r22265, MPFR_RNDN);
        mpfr_atan2(r22267, r22263, r22266, MPFR_RNDN);
        mpfr_mul(r22268, r22245, r22267, MPFR_RNDN);
        mpfr_mul(r22269, r22244, r22268, MPFR_RNDN);
        return mpfr_get_d(r22269, MPFR_RNDN);
}

static mpfr_t r22270, r22271, r22272, r22273, r22274, r22275, r22276, r22277, r22278, r22279, r22280, r22281, r22282, r22283, r22284, r22285, r22286, r22287, r22288, r22289, r22290, r22291, r22292, r22293, r22294, r22295, r22296, r22297, r22298, r22299, r22300, r22301, r22302, r22303;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22270);
        mpfr_init_set_str(r22271, "2", 10, MPFR_RNDN);
        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(r22287);
        mpfr_init(r22288);
        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_set_str(r22298, "1", 10, MPFR_RNDN);
        mpfr_init(r22299);
        mpfr_init(r22300);
        mpfr_init(r22301);
        mpfr_init(r22302);
        mpfr_init(r22303);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22270, R, MPFR_RNDN);
        ;
        mpfr_set_d(r22272, phi1, MPFR_RNDN);
        mpfr_div(r22273, r22272, r22271, MPFR_RNDN);
        mpfr_sin(r22274, r22273, MPFR_RNDN);
        mpfr_set_d(r22275, phi2, MPFR_RNDN);
        mpfr_div(r22276, r22275, r22271, MPFR_RNDN);
        mpfr_cos(r22277, r22276, MPFR_RNDN);
        mpfr_mul(r22278, r22274, r22277, MPFR_RNDN);
        mpfr_cos(r22279, r22273, MPFR_RNDN);
        mpfr_sin(r22280, r22276, MPFR_RNDN);
        mpfr_mul(r22281, r22279, r22280, MPFR_RNDN);
        mpfr_sub(r22282, r22278, r22281, MPFR_RNDN);
        mpfr_pow(r22283, r22282, r22271, MPFR_RNDN);
        mpfr_cos(r22284, r22272, MPFR_RNDN);
        mpfr_cos(r22285, r22275, MPFR_RNDN);
        mpfr_mul(r22286, r22284, r22285, MPFR_RNDN);
        mpfr_set_d(r22287, lambda1, MPFR_RNDN);
        mpfr_set_d(r22288, lambda2, MPFR_RNDN);
        mpfr_sub(r22289, r22287, r22288, MPFR_RNDN);
        mpfr_div(r22290, r22289, r22271, MPFR_RNDN);
        mpfr_sin(r22291, r22290, MPFR_RNDN);
        mpfr_mul(r22292, r22286, r22291, MPFR_RNDN);
        mpfr_expm1(r22293, r22291, MPFR_RNDN);
        mpfr_log1p(r22294, r22293, MPFR_RNDN);
        mpfr_mul(r22295, r22292, r22294, MPFR_RNDN);
        mpfr_add(r22296, r22283, r22295, MPFR_RNDN);
        mpfr_sqrt(r22297, r22296, MPFR_RNDN);
        ;
        mpfr_sub(r22299, r22298, r22296, MPFR_RNDN);
        mpfr_sqrt(r22300, r22299, MPFR_RNDN);
        mpfr_atan2(r22301, r22297, r22300, MPFR_RNDN);
        mpfr_mul(r22302, r22271, r22301, MPFR_RNDN);
        mpfr_mul(r22303, r22270, r22302, MPFR_RNDN);
        return mpfr_get_d(r22303, MPFR_RNDN);
}

static mpfr_t r22304, r22305, r22306, r22307, r22308, r22309, r22310, r22311, r22312, r22313, r22314, r22315, r22316, r22317, r22318, r22319, r22320, r22321, r22322, r22323, r22324, r22325, r22326, r22327, r22328, r22329, r22330, r22331, r22332, r22333, r22334, r22335, r22336, r22337;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22304);
        mpfr_init_set_str(r22305, "2", 10, MPFR_RNDN);
        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(r22316);
        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);
        mpfr_init(r22326);
        mpfr_init(r22327);
        mpfr_init(r22328);
        mpfr_init(r22329);
        mpfr_init(r22330);
        mpfr_init(r22331);
        mpfr_init_set_str(r22332, "1", 10, MPFR_RNDN);
        mpfr_init(r22333);
        mpfr_init(r22334);
        mpfr_init(r22335);
        mpfr_init(r22336);
        mpfr_init(r22337);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22304, R, MPFR_RNDN);
        ;
        mpfr_set_d(r22306, phi1, MPFR_RNDN);
        mpfr_div(r22307, r22306, r22305, MPFR_RNDN);
        mpfr_sin(r22308, r22307, MPFR_RNDN);
        mpfr_set_d(r22309, phi2, MPFR_RNDN);
        mpfr_div(r22310, r22309, r22305, MPFR_RNDN);
        mpfr_cos(r22311, r22310, MPFR_RNDN);
        mpfr_mul(r22312, r22308, r22311, MPFR_RNDN);
        mpfr_cos(r22313, r22307, MPFR_RNDN);
        mpfr_sin(r22314, r22310, MPFR_RNDN);
        mpfr_mul(r22315, r22313, r22314, MPFR_RNDN);
        mpfr_sub(r22316, r22312, r22315, MPFR_RNDN);
        mpfr_pow(r22317, r22316, r22305, MPFR_RNDN);
        mpfr_cos(r22318, r22306, MPFR_RNDN);
        mpfr_cos(r22319, r22309, MPFR_RNDN);
        mpfr_mul(r22320, r22318, r22319, MPFR_RNDN);
        mpfr_set_d(r22321, lambda1, MPFR_RNDN);
        mpfr_set_d(r22322, lambda2, MPFR_RNDN);
        mpfr_sub(r22323, r22321, r22322, MPFR_RNDN);
        mpfr_div(r22324, r22323, r22305, MPFR_RNDN);
        mpfr_sin(r22325, r22324, MPFR_RNDN);
        mpfr_mul(r22326, r22320, r22325, MPFR_RNDN);
        mpfr_expm1(r22327, r22325, MPFR_RNDN);
        mpfr_log1p(r22328, r22327, MPFR_RNDN);
        mpfr_mul(r22329, r22326, r22328, MPFR_RNDN);
        mpfr_add(r22330, r22317, r22329, MPFR_RNDN);
        mpfr_sqrt(r22331, r22330, MPFR_RNDN);
        ;
        mpfr_sub(r22333, r22332, r22330, MPFR_RNDN);
        mpfr_sqrt(r22334, r22333, MPFR_RNDN);
        mpfr_atan2(r22335, r22331, r22334, MPFR_RNDN);
        mpfr_mul(r22336, r22305, r22335, MPFR_RNDN);
        mpfr_mul(r22337, r22304, r22336, MPFR_RNDN);
        return mpfr_get_d(r22337, MPFR_RNDN);
}