#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 r22023 = R;
        float r22024 = 2;
        float r22025 = phi1;
        float r22026 = phi2;
        float r22027 = r22025 - r22026;
        float r22028 = r22027 / r22024;
        float r22029 = sin(r22028);
        float r22030 = pow(r22029, r22024);
        float r22031 = cos(r22025);
        float r22032 = cos(r22026);
        float r22033 = r22031 * r22032;
        float r22034 = lambda1;
        float r22035 = lambda2;
        float r22036 = r22034 - r22035;
        float r22037 = r22036 / r22024;
        float r22038 = sin(r22037);
        float r22039 = r22033 * r22038;
        float r22040 = r22039 * r22038;
        float r22041 = r22030 + r22040;
        float r22042 = sqrt(r22041);
        float r22043 = 1;
        float r22044 = r22043 - r22041;
        float r22045 = sqrt(r22044);
        float r22046 = atan2(r22042, r22045);
        float r22047 = r22024 * r22046;
        float r22048 = r22023 * r22047;
        return r22048;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r22049 = R;
        double r22050 = 2;
        double r22051 = phi1;
        double r22052 = phi2;
        double r22053 = r22051 - r22052;
        double r22054 = r22053 / r22050;
        double r22055 = sin(r22054);
        double r22056 = pow(r22055, r22050);
        double r22057 = cos(r22051);
        double r22058 = cos(r22052);
        double r22059 = r22057 * r22058;
        double r22060 = lambda1;
        double r22061 = lambda2;
        double r22062 = r22060 - r22061;
        double r22063 = r22062 / r22050;
        double r22064 = sin(r22063);
        double r22065 = r22059 * r22064;
        double r22066 = r22065 * r22064;
        double r22067 = r22056 + r22066;
        double r22068 = sqrt(r22067);
        double r22069 = 1;
        double r22070 = r22069 - r22067;
        double r22071 = sqrt(r22070);
        double r22072 = atan2(r22068, r22071);
        double r22073 = r22050 * r22072;
        double r22074 = r22049 * r22073;
        return r22074;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r22075 = R;
        float r22076 = r22075 + r22075;
        float r22077 = phi1;
        float r22078 = phi2;
        float r22079 = r22077 - r22078;
        float r22080 = 2;
        float r22081 = r22079 / r22080;
        float r22082 = sin(r22081);
        float r22083 = r22082 * r22082;
        float r22084 = lambda1;
        float r22085 = lambda2;
        float r22086 = r22084 - r22085;
        float r22087 = r22086 / r22080;
        float r22088 = sin(r22087);
        float r22089 = cos(r22077);
        float r22090 = cos(r22078);
        float r22091 = r22089 * r22090;
        float r22092 = r22088 * r22091;
        float r22093 = r22088 * r22092;
        float r22094 = r22083 + r22093;
        float r22095 = sqrt(r22094);
        float r22096 = cos(r22081);
        float r22097 = r22096 * r22096;
        float r22098 = 1/2;
        float r22099 = r22098 * r22086;
        float r22100 = sin(r22099);
        float r22101 = r22089 * r22100;
        float r22102 = r22088 * r22090;
        float r22103 = r22101 * r22102;
        float r22104 = r22097 - r22103;
        float r22105 = sqrt(r22104);
        float r22106 = atan2(r22095, r22105);
        float r22107 = r22076 * r22106;
        return r22107;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r22108 = R;
        double r22109 = r22108 + r22108;
        double r22110 = phi1;
        double r22111 = phi2;
        double r22112 = r22110 - r22111;
        double r22113 = 2;
        double r22114 = r22112 / r22113;
        double r22115 = sin(r22114);
        double r22116 = r22115 * r22115;
        double r22117 = lambda1;
        double r22118 = lambda2;
        double r22119 = r22117 - r22118;
        double r22120 = r22119 / r22113;
        double r22121 = sin(r22120);
        double r22122 = cos(r22110);
        double r22123 = cos(r22111);
        double r22124 = r22122 * r22123;
        double r22125 = r22121 * r22124;
        double r22126 = r22121 * r22125;
        double r22127 = r22116 + r22126;
        double r22128 = sqrt(r22127);
        double r22129 = cos(r22114);
        double r22130 = r22129 * r22129;
        double r22131 = 1/2;
        double r22132 = r22131 * r22119;
        double r22133 = sin(r22132);
        double r22134 = r22122 * r22133;
        double r22135 = r22121 * r22123;
        double r22136 = r22134 * r22135;
        double r22137 = r22130 - r22136;
        double r22138 = sqrt(r22137);
        double r22139 = atan2(r22128, r22138);
        double r22140 = r22109 * r22139;
        return r22140;
}

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 r22141, r22142, r22143, r22144, r22145, r22146, r22147, r22148, r22149, r22150, r22151, r22152, r22153, r22154, r22155, r22156, r22157, r22158, r22159, r22160, r22161, r22162, r22163, r22164, r22165, r22166;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22141);
        mpfr_init_set_str(r22142, "2", 10, MPFR_RNDN);
        mpfr_init(r22143);
        mpfr_init(r22144);
        mpfr_init(r22145);
        mpfr_init(r22146);
        mpfr_init(r22147);
        mpfr_init(r22148);
        mpfr_init(r22149);
        mpfr_init(r22150);
        mpfr_init(r22151);
        mpfr_init(r22152);
        mpfr_init(r22153);
        mpfr_init(r22154);
        mpfr_init(r22155);
        mpfr_init(r22156);
        mpfr_init(r22157);
        mpfr_init(r22158);
        mpfr_init(r22159);
        mpfr_init(r22160);
        mpfr_init_set_str(r22161, "1", 10, MPFR_RNDN);
        mpfr_init(r22162);
        mpfr_init(r22163);
        mpfr_init(r22164);
        mpfr_init(r22165);
        mpfr_init(r22166);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22141, R, MPFR_RNDN);
        ;
        mpfr_set_d(r22143, phi1, MPFR_RNDN);
        mpfr_set_d(r22144, phi2, MPFR_RNDN);
        mpfr_sub(r22145, r22143, r22144, MPFR_RNDN);
        mpfr_div(r22146, r22145, r22142, MPFR_RNDN);
        mpfr_sin(r22147, r22146, MPFR_RNDN);
        mpfr_pow(r22148, r22147, r22142, MPFR_RNDN);
        mpfr_cos(r22149, r22143, MPFR_RNDN);
        mpfr_cos(r22150, r22144, MPFR_RNDN);
        mpfr_mul(r22151, r22149, r22150, MPFR_RNDN);
        mpfr_set_d(r22152, lambda1, MPFR_RNDN);
        mpfr_set_d(r22153, lambda2, MPFR_RNDN);
        mpfr_sub(r22154, r22152, r22153, MPFR_RNDN);
        mpfr_div(r22155, r22154, r22142, MPFR_RNDN);
        mpfr_sin(r22156, r22155, MPFR_RNDN);
        mpfr_mul(r22157, r22151, r22156, MPFR_RNDN);
        mpfr_mul(r22158, r22157, r22156, MPFR_RNDN);
        mpfr_add(r22159, r22148, r22158, MPFR_RNDN);
        mpfr_sqrt(r22160, r22159, MPFR_RNDN);
        ;
        mpfr_sub(r22162, r22161, r22159, MPFR_RNDN);
        mpfr_sqrt(r22163, r22162, MPFR_RNDN);
        mpfr_atan2(r22164, r22160, r22163, MPFR_RNDN);
        mpfr_mul(r22165, r22142, r22164, MPFR_RNDN);
        mpfr_mul(r22166, r22141, r22165, MPFR_RNDN);
        return mpfr_get_d(r22166, MPFR_RNDN);
}

static mpfr_t r22167, r22168, r22169, r22170, r22171, r22172, r22173, r22174, r22175, r22176, r22177, r22178, r22179, r22180, r22181, r22182, r22183, r22184, r22185, r22186, r22187, r22188, r22189, r22190, r22191, r22192, r22193, r22194, r22195, r22196, r22197, r22198, r22199;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22167);
        mpfr_init(r22168);
        mpfr_init(r22169);
        mpfr_init(r22170);
        mpfr_init(r22171);
        mpfr_init_set_str(r22172, "2", 10, MPFR_RNDN);
        mpfr_init(r22173);
        mpfr_init(r22174);
        mpfr_init(r22175);
        mpfr_init(r22176);
        mpfr_init(r22177);
        mpfr_init(r22178);
        mpfr_init(r22179);
        mpfr_init(r22180);
        mpfr_init(r22181);
        mpfr_init(r22182);
        mpfr_init(r22183);
        mpfr_init(r22184);
        mpfr_init(r22185);
        mpfr_init(r22186);
        mpfr_init(r22187);
        mpfr_init(r22188);
        mpfr_init(r22189);
        mpfr_init_set_str(r22190, "1/2", 10, MPFR_RNDN);
        mpfr_init(r22191);
        mpfr_init(r22192);
        mpfr_init(r22193);
        mpfr_init(r22194);
        mpfr_init(r22195);
        mpfr_init(r22196);
        mpfr_init(r22197);
        mpfr_init(r22198);
        mpfr_init(r22199);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22167, R, MPFR_RNDN);
        mpfr_add(r22168, r22167, r22167, MPFR_RNDN);
        mpfr_set_d(r22169, phi1, MPFR_RNDN);
        mpfr_set_d(r22170, phi2, MPFR_RNDN);
        mpfr_sub(r22171, r22169, r22170, MPFR_RNDN);
        ;
        mpfr_div(r22173, r22171, r22172, MPFR_RNDN);
        mpfr_sin(r22174, r22173, MPFR_RNDN);
        mpfr_mul(r22175, r22174, r22174, MPFR_RNDN);
        mpfr_set_d(r22176, lambda1, MPFR_RNDN);
        mpfr_set_d(r22177, lambda2, MPFR_RNDN);
        mpfr_sub(r22178, r22176, r22177, MPFR_RNDN);
        mpfr_div(r22179, r22178, r22172, MPFR_RNDN);
        mpfr_sin(r22180, r22179, MPFR_RNDN);
        mpfr_cos(r22181, r22169, MPFR_RNDN);
        mpfr_cos(r22182, r22170, MPFR_RNDN);
        mpfr_mul(r22183, r22181, r22182, MPFR_RNDN);
        mpfr_mul(r22184, r22180, r22183, MPFR_RNDN);
        mpfr_mul(r22185, r22180, r22184, MPFR_RNDN);
        mpfr_add(r22186, r22175, r22185, MPFR_RNDN);
        mpfr_sqrt(r22187, r22186, MPFR_RNDN);
        mpfr_cos(r22188, r22173, MPFR_RNDN);
        mpfr_mul(r22189, r22188, r22188, MPFR_RNDN);
        ;
        mpfr_mul(r22191, r22190, r22178, MPFR_RNDN);
        mpfr_sin(r22192, r22191, MPFR_RNDN);
        mpfr_mul(r22193, r22181, r22192, MPFR_RNDN);
        mpfr_mul(r22194, r22180, r22182, MPFR_RNDN);
        mpfr_mul(r22195, r22193, r22194, MPFR_RNDN);
        mpfr_sub(r22196, r22189, r22195, MPFR_RNDN);
        mpfr_sqrt(r22197, r22196, MPFR_RNDN);
        mpfr_atan2(r22198, r22187, r22197, MPFR_RNDN);
        mpfr_mul(r22199, r22168, r22198, MPFR_RNDN);
        return mpfr_get_d(r22199, MPFR_RNDN);
}

static mpfr_t r22200, r22201, r22202, r22203, r22204, r22205, r22206, r22207, r22208, r22209, r22210, r22211, r22212, r22213, r22214, r22215, r22216, r22217, r22218, r22219, r22220, r22221, r22222, r22223, r22224, r22225, r22226, r22227, r22228, r22229, r22230, r22231, r22232;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22200);
        mpfr_init(r22201);
        mpfr_init(r22202);
        mpfr_init(r22203);
        mpfr_init(r22204);
        mpfr_init_set_str(r22205, "2", 10, MPFR_RNDN);
        mpfr_init(r22206);
        mpfr_init(r22207);
        mpfr_init(r22208);
        mpfr_init(r22209);
        mpfr_init(r22210);
        mpfr_init(r22211);
        mpfr_init(r22212);
        mpfr_init(r22213);
        mpfr_init(r22214);
        mpfr_init(r22215);
        mpfr_init(r22216);
        mpfr_init(r22217);
        mpfr_init(r22218);
        mpfr_init(r22219);
        mpfr_init(r22220);
        mpfr_init(r22221);
        mpfr_init(r22222);
        mpfr_init_set_str(r22223, "1/2", 10, MPFR_RNDN);
        mpfr_init(r22224);
        mpfr_init(r22225);
        mpfr_init(r22226);
        mpfr_init(r22227);
        mpfr_init(r22228);
        mpfr_init(r22229);
        mpfr_init(r22230);
        mpfr_init(r22231);
        mpfr_init(r22232);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22200, R, MPFR_RNDN);
        mpfr_add(r22201, r22200, r22200, MPFR_RNDN);
        mpfr_set_d(r22202, phi1, MPFR_RNDN);
        mpfr_set_d(r22203, phi2, MPFR_RNDN);
        mpfr_sub(r22204, r22202, r22203, MPFR_RNDN);
        ;
        mpfr_div(r22206, r22204, r22205, MPFR_RNDN);
        mpfr_sin(r22207, r22206, MPFR_RNDN);
        mpfr_mul(r22208, r22207, r22207, MPFR_RNDN);
        mpfr_set_d(r22209, lambda1, MPFR_RNDN);
        mpfr_set_d(r22210, lambda2, MPFR_RNDN);
        mpfr_sub(r22211, r22209, r22210, MPFR_RNDN);
        mpfr_div(r22212, r22211, r22205, MPFR_RNDN);
        mpfr_sin(r22213, r22212, MPFR_RNDN);
        mpfr_cos(r22214, r22202, MPFR_RNDN);
        mpfr_cos(r22215, r22203, MPFR_RNDN);
        mpfr_mul(r22216, r22214, r22215, MPFR_RNDN);
        mpfr_mul(r22217, r22213, r22216, MPFR_RNDN);
        mpfr_mul(r22218, r22213, r22217, MPFR_RNDN);
        mpfr_add(r22219, r22208, r22218, MPFR_RNDN);
        mpfr_sqrt(r22220, r22219, MPFR_RNDN);
        mpfr_cos(r22221, r22206, MPFR_RNDN);
        mpfr_mul(r22222, r22221, r22221, MPFR_RNDN);
        ;
        mpfr_mul(r22224, r22223, r22211, MPFR_RNDN);
        mpfr_sin(r22225, r22224, MPFR_RNDN);
        mpfr_mul(r22226, r22214, r22225, MPFR_RNDN);
        mpfr_mul(r22227, r22213, r22215, MPFR_RNDN);
        mpfr_mul(r22228, r22226, r22227, MPFR_RNDN);
        mpfr_sub(r22229, r22222, r22228, MPFR_RNDN);
        mpfr_sqrt(r22230, r22229, MPFR_RNDN);
        mpfr_atan2(r22231, r22220, r22230, MPFR_RNDN);
        mpfr_mul(r22232, r22201, r22231, MPFR_RNDN);
        return mpfr_get_d(r22232, MPFR_RNDN);
}