#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 r23104 = R;
        float r23105 = 2;
        float r23106 = phi1;
        float r23107 = phi2;
        float r23108 = r23106 - r23107;
        float r23109 = r23108 / r23105;
        float r23110 = sin(r23109);
        float r23111 = pow(r23110, r23105);
        float r23112 = cos(r23106);
        float r23113 = cos(r23107);
        float r23114 = r23112 * r23113;
        float r23115 = lambda1;
        float r23116 = lambda2;
        float r23117 = r23115 - r23116;
        float r23118 = r23117 / r23105;
        float r23119 = sin(r23118);
        float r23120 = r23114 * r23119;
        float r23121 = r23120 * r23119;
        float r23122 = r23111 + r23121;
        float r23123 = sqrt(r23122);
        float r23124 = 1;
        float r23125 = r23124 - r23122;
        float r23126 = sqrt(r23125);
        float r23127 = atan2(r23123, r23126);
        float r23128 = r23105 * r23127;
        float r23129 = r23104 * r23128;
        return r23129;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r23130 = R;
        double r23131 = 2;
        double r23132 = phi1;
        double r23133 = phi2;
        double r23134 = r23132 - r23133;
        double r23135 = r23134 / r23131;
        double r23136 = sin(r23135);
        double r23137 = pow(r23136, r23131);
        double r23138 = cos(r23132);
        double r23139 = cos(r23133);
        double r23140 = r23138 * r23139;
        double r23141 = lambda1;
        double r23142 = lambda2;
        double r23143 = r23141 - r23142;
        double r23144 = r23143 / r23131;
        double r23145 = sin(r23144);
        double r23146 = r23140 * r23145;
        double r23147 = r23146 * r23145;
        double r23148 = r23137 + r23147;
        double r23149 = sqrt(r23148);
        double r23150 = 1;
        double r23151 = r23150 - r23148;
        double r23152 = sqrt(r23151);
        double r23153 = atan2(r23149, r23152);
        double r23154 = r23131 * r23153;
        double r23155 = r23130 * r23154;
        return r23155;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r23156 = R;
        float r23157 = 2;
        float r23158 = phi1;
        float r23159 = r23158 / r23157;
        float r23160 = sin(r23159);
        float r23161 = phi2;
        float r23162 = r23161 / r23157;
        float r23163 = cos(r23162);
        float r23164 = r23160 * r23163;
        float r23165 = cos(r23159);
        float r23166 = sin(r23162);
        float r23167 = r23165 * r23166;
        float r23168 = r23164 - r23167;
        float r23169 = pow(r23168, r23157);
        float r23170 = cos(r23158);
        float r23171 = cos(r23161);
        float r23172 = r23170 * r23171;
        float r23173 = lambda1;
        float r23174 = lambda2;
        float r23175 = r23173 - r23174;
        float r23176 = r23175 / r23157;
        float r23177 = sin(r23176);
        float r23178 = 3;
        float r23179 = pow(r23177, r23178);
        float r23180 = cbrt(r23179);
        float r23181 = r23172 * r23180;
        float r23182 = r23181 * r23180;
        float r23183 = r23169 + r23182;
        float r23184 = sqrt(r23183);
        float r23185 = 1;
        float r23186 = r23172 * r23177;
        float r23187 = r23186 * r23177;
        float r23188 = r23169 + r23187;
        float r23189 = r23185 - r23188;
        float r23190 = sqrt(r23189);
        float r23191 = atan2(r23184, r23190);
        float r23192 = r23157 * r23191;
        float r23193 = r23156 * r23192;
        return r23193;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r23194 = R;
        double r23195 = 2;
        double r23196 = phi1;
        double r23197 = r23196 / r23195;
        double r23198 = sin(r23197);
        double r23199 = phi2;
        double r23200 = r23199 / r23195;
        double r23201 = cos(r23200);
        double r23202 = r23198 * r23201;
        double r23203 = cos(r23197);
        double r23204 = sin(r23200);
        double r23205 = r23203 * r23204;
        double r23206 = r23202 - r23205;
        double r23207 = pow(r23206, r23195);
        double r23208 = cos(r23196);
        double r23209 = cos(r23199);
        double r23210 = r23208 * r23209;
        double r23211 = lambda1;
        double r23212 = lambda2;
        double r23213 = r23211 - r23212;
        double r23214 = r23213 / r23195;
        double r23215 = sin(r23214);
        double r23216 = 3;
        double r23217 = pow(r23215, r23216);
        double r23218 = cbrt(r23217);
        double r23219 = r23210 * r23218;
        double r23220 = r23219 * r23218;
        double r23221 = r23207 + r23220;
        double r23222 = sqrt(r23221);
        double r23223 = 1;
        double r23224 = r23210 * r23215;
        double r23225 = r23224 * r23215;
        double r23226 = r23207 + r23225;
        double r23227 = r23223 - r23226;
        double r23228 = sqrt(r23227);
        double r23229 = atan2(r23222, r23228);
        double r23230 = r23195 * r23229;
        double r23231 = r23194 * r23230;
        return r23231;
}

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 r23232, r23233, r23234, r23235, r23236, r23237, r23238, r23239, r23240, r23241, r23242, r23243, r23244, r23245, r23246, r23247, r23248, r23249, r23250, r23251, r23252, r23253, r23254, r23255, r23256, r23257;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23232);
        mpfr_init_set_str(r23233, "2", 10, MPFR_RNDN);
        mpfr_init(r23234);
        mpfr_init(r23235);
        mpfr_init(r23236);
        mpfr_init(r23237);
        mpfr_init(r23238);
        mpfr_init(r23239);
        mpfr_init(r23240);
        mpfr_init(r23241);
        mpfr_init(r23242);
        mpfr_init(r23243);
        mpfr_init(r23244);
        mpfr_init(r23245);
        mpfr_init(r23246);
        mpfr_init(r23247);
        mpfr_init(r23248);
        mpfr_init(r23249);
        mpfr_init(r23250);
        mpfr_init(r23251);
        mpfr_init_set_str(r23252, "1", 10, MPFR_RNDN);
        mpfr_init(r23253);
        mpfr_init(r23254);
        mpfr_init(r23255);
        mpfr_init(r23256);
        mpfr_init(r23257);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r23232, R, MPFR_RNDN);
        ;
        mpfr_set_d(r23234, phi1, MPFR_RNDN);
        mpfr_set_d(r23235, phi2, MPFR_RNDN);
        mpfr_sub(r23236, r23234, r23235, MPFR_RNDN);
        mpfr_div(r23237, r23236, r23233, MPFR_RNDN);
        mpfr_sin(r23238, r23237, MPFR_RNDN);
        mpfr_pow(r23239, r23238, r23233, MPFR_RNDN);
        mpfr_cos(r23240, r23234, MPFR_RNDN);
        mpfr_cos(r23241, r23235, MPFR_RNDN);
        mpfr_mul(r23242, r23240, r23241, MPFR_RNDN);
        mpfr_set_d(r23243, lambda1, MPFR_RNDN);
        mpfr_set_d(r23244, lambda2, MPFR_RNDN);
        mpfr_sub(r23245, r23243, r23244, MPFR_RNDN);
        mpfr_div(r23246, r23245, r23233, MPFR_RNDN);
        mpfr_sin(r23247, r23246, MPFR_RNDN);
        mpfr_mul(r23248, r23242, r23247, MPFR_RNDN);
        mpfr_mul(r23249, r23248, r23247, MPFR_RNDN);
        mpfr_add(r23250, r23239, r23249, MPFR_RNDN);
        mpfr_sqrt(r23251, r23250, MPFR_RNDN);
        ;
        mpfr_sub(r23253, r23252, r23250, MPFR_RNDN);
        mpfr_sqrt(r23254, r23253, MPFR_RNDN);
        mpfr_atan2(r23255, r23251, r23254, MPFR_RNDN);
        mpfr_mul(r23256, r23233, r23255, MPFR_RNDN);
        mpfr_mul(r23257, r23232, r23256, MPFR_RNDN);
        return mpfr_get_d(r23257, MPFR_RNDN);
}

static mpfr_t r23258, r23259, r23260, r23261, r23262, r23263, r23264, r23265, r23266, r23267, r23268, r23269, r23270, r23271, r23272, r23273, r23274, r23275, r23276, r23277, r23278, r23279, r23280, r23281, r23282, r23283, r23284, r23285, r23286, r23287, r23288, r23289, r23290, r23291, r23292, r23293, r23294, r23295;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23258);
        mpfr_init_set_str(r23259, "2", 10, MPFR_RNDN);
        mpfr_init(r23260);
        mpfr_init(r23261);
        mpfr_init(r23262);
        mpfr_init(r23263);
        mpfr_init(r23264);
        mpfr_init(r23265);
        mpfr_init(r23266);
        mpfr_init(r23267);
        mpfr_init(r23268);
        mpfr_init(r23269);
        mpfr_init(r23270);
        mpfr_init(r23271);
        mpfr_init(r23272);
        mpfr_init(r23273);
        mpfr_init(r23274);
        mpfr_init(r23275);
        mpfr_init(r23276);
        mpfr_init(r23277);
        mpfr_init(r23278);
        mpfr_init(r23279);
        mpfr_init_set_str(r23280, "3", 10, MPFR_RNDN);
        mpfr_init(r23281);
        mpfr_init(r23282);
        mpfr_init(r23283);
        mpfr_init(r23284);
        mpfr_init(r23285);
        mpfr_init(r23286);
        mpfr_init_set_str(r23287, "1", 10, MPFR_RNDN);
        mpfr_init(r23288);
        mpfr_init(r23289);
        mpfr_init(r23290);
        mpfr_init(r23291);
        mpfr_init(r23292);
        mpfr_init(r23293);
        mpfr_init(r23294);
        mpfr_init(r23295);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r23258, R, MPFR_RNDN);
        ;
        mpfr_set_d(r23260, phi1, MPFR_RNDN);
        mpfr_div(r23261, r23260, r23259, MPFR_RNDN);
        mpfr_sin(r23262, r23261, MPFR_RNDN);
        mpfr_set_d(r23263, phi2, MPFR_RNDN);
        mpfr_div(r23264, r23263, r23259, MPFR_RNDN);
        mpfr_cos(r23265, r23264, MPFR_RNDN);
        mpfr_mul(r23266, r23262, r23265, MPFR_RNDN);
        mpfr_cos(r23267, r23261, MPFR_RNDN);
        mpfr_sin(r23268, r23264, MPFR_RNDN);
        mpfr_mul(r23269, r23267, r23268, MPFR_RNDN);
        mpfr_sub(r23270, r23266, r23269, MPFR_RNDN);
        mpfr_pow(r23271, r23270, r23259, MPFR_RNDN);
        mpfr_cos(r23272, r23260, MPFR_RNDN);
        mpfr_cos(r23273, r23263, MPFR_RNDN);
        mpfr_mul(r23274, r23272, r23273, MPFR_RNDN);
        mpfr_set_d(r23275, lambda1, MPFR_RNDN);
        mpfr_set_d(r23276, lambda2, MPFR_RNDN);
        mpfr_sub(r23277, r23275, r23276, MPFR_RNDN);
        mpfr_div(r23278, r23277, r23259, MPFR_RNDN);
        mpfr_sin(r23279, r23278, MPFR_RNDN);
        ;
        mpfr_pow(r23281, r23279, r23280, MPFR_RNDN);
        mpfr_cbrt(r23282, r23281, MPFR_RNDN);
        mpfr_mul(r23283, r23274, r23282, MPFR_RNDN);
        mpfr_mul(r23284, r23283, r23282, MPFR_RNDN);
        mpfr_add(r23285, r23271, r23284, MPFR_RNDN);
        mpfr_sqrt(r23286, r23285, MPFR_RNDN);
        ;
        mpfr_mul(r23288, r23274, r23279, MPFR_RNDN);
        mpfr_mul(r23289, r23288, r23279, MPFR_RNDN);
        mpfr_add(r23290, r23271, r23289, MPFR_RNDN);
        mpfr_sub(r23291, r23287, r23290, MPFR_RNDN);
        mpfr_sqrt(r23292, r23291, MPFR_RNDN);
        mpfr_atan2(r23293, r23286, r23292, MPFR_RNDN);
        mpfr_mul(r23294, r23259, r23293, MPFR_RNDN);
        mpfr_mul(r23295, r23258, r23294, MPFR_RNDN);
        return mpfr_get_d(r23295, MPFR_RNDN);
}

static mpfr_t r23296, r23297, r23298, r23299, r23300, r23301, r23302, r23303, r23304, r23305, r23306, r23307, r23308, r23309, r23310, r23311, r23312, r23313, r23314, r23315, r23316, r23317, r23318, r23319, r23320, r23321, r23322, r23323, r23324, r23325, r23326, r23327, r23328, r23329, r23330, r23331, r23332, r23333;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23296);
        mpfr_init_set_str(r23297, "2", 10, MPFR_RNDN);
        mpfr_init(r23298);
        mpfr_init(r23299);
        mpfr_init(r23300);
        mpfr_init(r23301);
        mpfr_init(r23302);
        mpfr_init(r23303);
        mpfr_init(r23304);
        mpfr_init(r23305);
        mpfr_init(r23306);
        mpfr_init(r23307);
        mpfr_init(r23308);
        mpfr_init(r23309);
        mpfr_init(r23310);
        mpfr_init(r23311);
        mpfr_init(r23312);
        mpfr_init(r23313);
        mpfr_init(r23314);
        mpfr_init(r23315);
        mpfr_init(r23316);
        mpfr_init(r23317);
        mpfr_init_set_str(r23318, "3", 10, MPFR_RNDN);
        mpfr_init(r23319);
        mpfr_init(r23320);
        mpfr_init(r23321);
        mpfr_init(r23322);
        mpfr_init(r23323);
        mpfr_init(r23324);
        mpfr_init_set_str(r23325, "1", 10, MPFR_RNDN);
        mpfr_init(r23326);
        mpfr_init(r23327);
        mpfr_init(r23328);
        mpfr_init(r23329);
        mpfr_init(r23330);
        mpfr_init(r23331);
        mpfr_init(r23332);
        mpfr_init(r23333);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r23296, R, MPFR_RNDN);
        ;
        mpfr_set_d(r23298, phi1, MPFR_RNDN);
        mpfr_div(r23299, r23298, r23297, MPFR_RNDN);
        mpfr_sin(r23300, r23299, MPFR_RNDN);
        mpfr_set_d(r23301, phi2, MPFR_RNDN);
        mpfr_div(r23302, r23301, r23297, MPFR_RNDN);
        mpfr_cos(r23303, r23302, MPFR_RNDN);
        mpfr_mul(r23304, r23300, r23303, MPFR_RNDN);
        mpfr_cos(r23305, r23299, MPFR_RNDN);
        mpfr_sin(r23306, r23302, MPFR_RNDN);
        mpfr_mul(r23307, r23305, r23306, MPFR_RNDN);
        mpfr_sub(r23308, r23304, r23307, MPFR_RNDN);
        mpfr_pow(r23309, r23308, r23297, MPFR_RNDN);
        mpfr_cos(r23310, r23298, MPFR_RNDN);
        mpfr_cos(r23311, r23301, MPFR_RNDN);
        mpfr_mul(r23312, r23310, r23311, MPFR_RNDN);
        mpfr_set_d(r23313, lambda1, MPFR_RNDN);
        mpfr_set_d(r23314, lambda2, MPFR_RNDN);
        mpfr_sub(r23315, r23313, r23314, MPFR_RNDN);
        mpfr_div(r23316, r23315, r23297, MPFR_RNDN);
        mpfr_sin(r23317, r23316, MPFR_RNDN);
        ;
        mpfr_pow(r23319, r23317, r23318, MPFR_RNDN);
        mpfr_cbrt(r23320, r23319, MPFR_RNDN);
        mpfr_mul(r23321, r23312, r23320, MPFR_RNDN);
        mpfr_mul(r23322, r23321, r23320, MPFR_RNDN);
        mpfr_add(r23323, r23309, r23322, MPFR_RNDN);
        mpfr_sqrt(r23324, r23323, MPFR_RNDN);
        ;
        mpfr_mul(r23326, r23312, r23317, MPFR_RNDN);
        mpfr_mul(r23327, r23326, r23317, MPFR_RNDN);
        mpfr_add(r23328, r23309, r23327, MPFR_RNDN);
        mpfr_sub(r23329, r23325, r23328, MPFR_RNDN);
        mpfr_sqrt(r23330, r23329, MPFR_RNDN);
        mpfr_atan2(r23331, r23324, r23330, MPFR_RNDN);
        mpfr_mul(r23332, r23297, r23331, MPFR_RNDN);
        mpfr_mul(r23333, r23296, r23332, MPFR_RNDN);
        return mpfr_get_d(r23333, MPFR_RNDN);
}