#include <tgmath.h>
#include <gmp.h>
#include <mpfr.h>
#include <stdio.h>
#include <stdbool.h>

char *name = "Midpoint on a great circle";

double f_if(float lambda1, float lambda2, float phi1, float phi2) {
        float r22139 = lambda1;
        float r22140 = phi2;
        float r22141 = cos(r22140);
        float r22142 = lambda2;
        float r22143 = r22139 - r22142;
        float r22144 = sin(r22143);
        float r22145 = r22141 * r22144;
        float r22146 = phi1;
        float r22147 = cos(r22146);
        float r22148 = cos(r22143);
        float r22149 = r22141 * r22148;
        float r22150 = r22147 + r22149;
        float r22151 = atan2(r22145, r22150);
        float r22152 = r22139 + r22151;
        return r22152;
}

double f_id(double lambda1, double lambda2, double phi1, double phi2) {
        double r22153 = lambda1;
        double r22154 = phi2;
        double r22155 = cos(r22154);
        double r22156 = lambda2;
        double r22157 = r22153 - r22156;
        double r22158 = sin(r22157);
        double r22159 = r22155 * r22158;
        double r22160 = phi1;
        double r22161 = cos(r22160);
        double r22162 = cos(r22157);
        double r22163 = r22155 * r22162;
        double r22164 = r22161 + r22163;
        double r22165 = atan2(r22159, r22164);
        double r22166 = r22153 + r22165;
        return r22166;
}


double f_of(float lambda1, float lambda2, float phi1, float phi2) {
        float r22167 = lambda1;
        float r22168 = phi2;
        float r22169 = cos(r22168);
        float r22170 = lambda2;
        float r22171 = r22167 - r22170;
        float r22172 = sin(r22171);
        float r22173 = r22169 * r22172;
        float r22174 = phi1;
        float r22175 = cos(r22174);
        float r22176 = 3;
        float r22177 = pow(r22175, r22176);
        float r22178 = cos(r22171);
        float r22179 = r22169 * r22178;
        float r22180 = pow(r22179, r22176);
        float r22181 = r22177 + r22180;
        float r22182 = r22175 * r22175;
        float r22183 = r22179 * r22179;
        float r22184 = r22175 * r22179;
        float r22185 = r22183 - r22184;
        float r22186 = r22182 + r22185;
        float r22187 = r22181 / r22186;
        float r22188 = atan2(r22173, r22187);
        float r22189 = r22167 + r22188;
        return r22189;
}

double f_od(double lambda1, double lambda2, double phi1, double phi2) {
        double r22190 = lambda1;
        double r22191 = phi2;
        double r22192 = cos(r22191);
        double r22193 = lambda2;
        double r22194 = r22190 - r22193;
        double r22195 = sin(r22194);
        double r22196 = r22192 * r22195;
        double r22197 = phi1;
        double r22198 = cos(r22197);
        double r22199 = 3;
        double r22200 = pow(r22198, r22199);
        double r22201 = cos(r22194);
        double r22202 = r22192 * r22201;
        double r22203 = pow(r22202, r22199);
        double r22204 = r22200 + r22203;
        double r22205 = r22198 * r22198;
        double r22206 = r22202 * r22202;
        double r22207 = r22198 * r22202;
        double r22208 = r22206 - r22207;
        double r22209 = r22205 + r22208;
        double r22210 = r22204 / r22209;
        double r22211 = atan2(r22196, r22210);
        double r22212 = r22190 + r22211;
        return r22212;
}

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 r22213, r22214, r22215, r22216, r22217, r22218, r22219, r22220, r22221, r22222, r22223, r22224, r22225, r22226;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        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(r22223);
        mpfr_init(r22224);
        mpfr_init(r22225);
        mpfr_init(r22226);
}

double f_im(double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22213, lambda1, MPFR_RNDN);
        mpfr_set_d(r22214, phi2, MPFR_RNDN);
        mpfr_cos(r22215, r22214, MPFR_RNDN);
        mpfr_set_d(r22216, lambda2, MPFR_RNDN);
        mpfr_sub(r22217, r22213, r22216, MPFR_RNDN);
        mpfr_sin(r22218, r22217, MPFR_RNDN);
        mpfr_mul(r22219, r22215, r22218, MPFR_RNDN);
        mpfr_set_d(r22220, phi1, MPFR_RNDN);
        mpfr_cos(r22221, r22220, MPFR_RNDN);
        mpfr_cos(r22222, r22217, MPFR_RNDN);
        mpfr_mul(r22223, r22215, r22222, MPFR_RNDN);
        mpfr_add(r22224, r22221, r22223, MPFR_RNDN);
        mpfr_atan2(r22225, r22219, r22224, MPFR_RNDN);
        mpfr_add(r22226, r22213, r22225, MPFR_RNDN);
        return mpfr_get_d(r22226, MPFR_RNDN);
}

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

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        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_set_str(r22236, "3", 10, MPFR_RNDN);
        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(r22245);
        mpfr_init(r22246);
        mpfr_init(r22247);
        mpfr_init(r22248);
        mpfr_init(r22249);
}

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

static mpfr_t r22250, r22251, r22252, r22253, r22254, r22255, r22256, r22257, r22258, r22259, r22260, r22261, r22262, r22263, r22264, r22265, r22266, r22267, r22268, r22269, r22270, r22271, r22272;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        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_set_str(r22259, "3", 10, MPFR_RNDN);
        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);
}

double f_dm(double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22250, lambda1, MPFR_RNDN);
        mpfr_set_d(r22251, phi2, MPFR_RNDN);
        mpfr_cos(r22252, r22251, MPFR_RNDN);
        mpfr_set_d(r22253, lambda2, MPFR_RNDN);
        mpfr_sub(r22254, r22250, r22253, MPFR_RNDN);
        mpfr_sin(r22255, r22254, MPFR_RNDN);
        mpfr_mul(r22256, r22252, r22255, MPFR_RNDN);
        mpfr_set_d(r22257, phi1, MPFR_RNDN);
        mpfr_cos(r22258, r22257, MPFR_RNDN);
        ;
        mpfr_pow(r22260, r22258, r22259, MPFR_RNDN);
        mpfr_cos(r22261, r22254, MPFR_RNDN);
        mpfr_mul(r22262, r22252, r22261, MPFR_RNDN);
        mpfr_pow(r22263, r22262, r22259, MPFR_RNDN);
        mpfr_add(r22264, r22260, r22263, MPFR_RNDN);
        mpfr_mul(r22265, r22258, r22258, MPFR_RNDN);
        mpfr_mul(r22266, r22262, r22262, MPFR_RNDN);
        mpfr_mul(r22267, r22258, r22262, MPFR_RNDN);
        mpfr_sub(r22268, r22266, r22267, MPFR_RNDN);
        mpfr_add(r22269, r22265, r22268, MPFR_RNDN);
        mpfr_div(r22270, r22264, r22269, MPFR_RNDN);
        mpfr_atan2(r22271, r22256, r22270, MPFR_RNDN);
        mpfr_add(r22272, r22250, r22271, MPFR_RNDN);
        return mpfr_get_d(r22272, MPFR_RNDN);
}

