#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 r22127 = lambda1;
        float r22128 = phi2;
        float r22129 = cos(r22128);
        float r22130 = lambda2;
        float r22131 = r22127 - r22130;
        float r22132 = sin(r22131);
        float r22133 = r22129 * r22132;
        float r22134 = phi1;
        float r22135 = cos(r22134);
        float r22136 = cos(r22131);
        float r22137 = r22129 * r22136;
        float r22138 = r22135 + r22137;
        float r22139 = atan2(r22133, r22138);
        float r22140 = r22127 + r22139;
        return r22140;
}

double f_id(double lambda1, double lambda2, double phi1, double phi2) {
        double r22141 = lambda1;
        double r22142 = phi2;
        double r22143 = cos(r22142);
        double r22144 = lambda2;
        double r22145 = r22141 - r22144;
        double r22146 = sin(r22145);
        double r22147 = r22143 * r22146;
        double r22148 = phi1;
        double r22149 = cos(r22148);
        double r22150 = cos(r22145);
        double r22151 = r22143 * r22150;
        double r22152 = r22149 + r22151;
        double r22153 = atan2(r22147, r22152);
        double r22154 = r22141 + r22153;
        return r22154;
}


double f_of(float lambda1, float lambda2, float phi1, float phi2) {
        float r22155 = phi2;
        float r22156 = cos(r22155);
        float r22157 = lambda1;
        float r22158 = sin(r22157);
        float r22159 = lambda2;
        float r22160 = cos(r22159);
        float r22161 = r22158 * r22160;
        float r22162 = cos(r22157);
        float r22163 = -r22159;
        float r22164 = sin(r22163);
        float r22165 = r22162 * r22164;
        float r22166 = r22161 + r22165;
        float r22167 = r22156 * r22166;
        float r22168 = sin(r22159);
        float r22169 = r22160 * r22162;
        float r22170 = fma(r22158, r22168, r22169);
        float r22171 = phi1;
        float r22172 = cos(r22171);
        float r22173 = fma(r22156, r22170, r22172);
        float r22174 = r22173 * r22173;
        float r22175 = r22174 * r22173;
        float r22176 = cbrt(r22175);
        float r22177 = atan2(r22167, r22176);
        float r22178 = r22177 + r22157;
        return r22178;
}

double f_od(double lambda1, double lambda2, double phi1, double phi2) {
        double r22179 = phi2;
        double r22180 = cos(r22179);
        double r22181 = lambda1;
        double r22182 = sin(r22181);
        double r22183 = lambda2;
        double r22184 = cos(r22183);
        double r22185 = r22182 * r22184;
        double r22186 = cos(r22181);
        double r22187 = -r22183;
        double r22188 = sin(r22187);
        double r22189 = r22186 * r22188;
        double r22190 = r22185 + r22189;
        double r22191 = r22180 * r22190;
        double r22192 = sin(r22183);
        double r22193 = r22184 * r22186;
        double r22194 = fma(r22182, r22192, r22193);
        double r22195 = phi1;
        double r22196 = cos(r22195);
        double r22197 = fma(r22180, r22194, r22196);
        double r22198 = r22197 * r22197;
        double r22199 = r22198 * r22197;
        double r22200 = cbrt(r22199);
        double r22201 = atan2(r22191, r22200);
        double r22202 = r22201 + r22181;
        return r22202;
}

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 r22203, r22204, r22205, r22206, r22207, r22208, r22209, r22210, r22211, r22212, r22213, r22214, r22215, r22216;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22203);
        mpfr_init(r22204);
        mpfr_init(r22205);
        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);
}

double f_im(double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22203, lambda1, MPFR_RNDN);
        mpfr_set_d(r22204, phi2, MPFR_RNDN);
        mpfr_cos(r22205, r22204, MPFR_RNDN);
        mpfr_set_d(r22206, lambda2, MPFR_RNDN);
        mpfr_sub(r22207, r22203, r22206, MPFR_RNDN);
        mpfr_sin(r22208, r22207, MPFR_RNDN);
        mpfr_mul(r22209, r22205, r22208, MPFR_RNDN);
        mpfr_set_d(r22210, phi1, MPFR_RNDN);
        mpfr_cos(r22211, r22210, MPFR_RNDN);
        mpfr_cos(r22212, r22207, MPFR_RNDN);
        mpfr_mul(r22213, r22205, r22212, MPFR_RNDN);
        mpfr_add(r22214, r22211, r22213, MPFR_RNDN);
        mpfr_atan2(r22215, r22209, r22214, MPFR_RNDN);
        mpfr_add(r22216, r22203, r22215, MPFR_RNDN);
        return mpfr_get_d(r22216, MPFR_RNDN);
}

static mpfr_t r22217, r22218, r22219, r22220, r22221, r22222, r22223, r22224, r22225, r22226, r22227, r22228, r22229, r22230, r22231, r22232, r22233, r22234, r22235, r22236, r22237, r22238, r22239, r22240;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        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);
        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);
}

double f_fm(double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22217, phi2, MPFR_RNDN);
        mpfr_cos(r22218, r22217, MPFR_RNDN);
        mpfr_set_d(r22219, lambda1, MPFR_RNDN);
        mpfr_sin(r22220, r22219, MPFR_RNDN);
        mpfr_set_d(r22221, lambda2, MPFR_RNDN);
        mpfr_cos(r22222, r22221, MPFR_RNDN);
        mpfr_mul(r22223, r22220, r22222, MPFR_RNDN);
        mpfr_cos(r22224, r22219, MPFR_RNDN);
        mpfr_neg(r22225, r22221, MPFR_RNDN);
        mpfr_sin(r22226, r22225, MPFR_RNDN);
        mpfr_mul(r22227, r22224, r22226, MPFR_RNDN);
        mpfr_add(r22228, r22223, r22227, MPFR_RNDN);
        mpfr_mul(r22229, r22218, r22228, MPFR_RNDN);
        mpfr_sin(r22230, r22221, MPFR_RNDN);
        mpfr_mul(r22231, r22222, r22224, MPFR_RNDN);
        mpfr_fma(r22232, r22220, r22230, r22231, MPFR_RNDN);
        mpfr_set_d(r22233, phi1, MPFR_RNDN);
        mpfr_cos(r22234, r22233, MPFR_RNDN);
        mpfr_fma(r22235, r22218, r22232, r22234, MPFR_RNDN);
        mpfr_mul(r22236, r22235, r22235, MPFR_RNDN);
        mpfr_mul(r22237, r22236, r22235, MPFR_RNDN);
        mpfr_cbrt(r22238, r22237, MPFR_RNDN);
        mpfr_atan2(r22239, r22229, r22238, MPFR_RNDN);
        mpfr_add(r22240, r22239, r22219, MPFR_RNDN);
        return mpfr_get_d(r22240, MPFR_RNDN);
}

static mpfr_t r22241, r22242, r22243, r22244, r22245, r22246, r22247, r22248, r22249, r22250, r22251, r22252, r22253, r22254, r22255, r22256, r22257, r22258, r22259, r22260, r22261, r22262, r22263, r22264;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        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);
        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(r22264);
}

double f_dm(double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22241, phi2, MPFR_RNDN);
        mpfr_cos(r22242, r22241, MPFR_RNDN);
        mpfr_set_d(r22243, lambda1, MPFR_RNDN);
        mpfr_sin(r22244, r22243, MPFR_RNDN);
        mpfr_set_d(r22245, lambda2, MPFR_RNDN);
        mpfr_cos(r22246, r22245, MPFR_RNDN);
        mpfr_mul(r22247, r22244, r22246, MPFR_RNDN);
        mpfr_cos(r22248, r22243, MPFR_RNDN);
        mpfr_neg(r22249, r22245, MPFR_RNDN);
        mpfr_sin(r22250, r22249, MPFR_RNDN);
        mpfr_mul(r22251, r22248, r22250, MPFR_RNDN);
        mpfr_add(r22252, r22247, r22251, MPFR_RNDN);
        mpfr_mul(r22253, r22242, r22252, MPFR_RNDN);
        mpfr_sin(r22254, r22245, MPFR_RNDN);
        mpfr_mul(r22255, r22246, r22248, MPFR_RNDN);
        mpfr_fma(r22256, r22244, r22254, r22255, MPFR_RNDN);
        mpfr_set_d(r22257, phi1, MPFR_RNDN);
        mpfr_cos(r22258, r22257, MPFR_RNDN);
        mpfr_fma(r22259, r22242, r22256, r22258, MPFR_RNDN);
        mpfr_mul(r22260, r22259, r22259, MPFR_RNDN);
        mpfr_mul(r22261, r22260, r22259, MPFR_RNDN);
        mpfr_cbrt(r22262, r22261, MPFR_RNDN);
        mpfr_atan2(r22263, r22253, r22262, MPFR_RNDN);
        mpfr_add(r22264, r22263, r22243, MPFR_RNDN);
        return mpfr_get_d(r22264, MPFR_RNDN);
}

