#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 r22110 = lambda1;
        float r22111 = phi2;
        float r22112 = cos(r22111);
        float r22113 = lambda2;
        float r22114 = r22110 - r22113;
        float r22115 = sin(r22114);
        float r22116 = r22112 * r22115;
        float r22117 = phi1;
        float r22118 = cos(r22117);
        float r22119 = cos(r22114);
        float r22120 = r22112 * r22119;
        float r22121 = r22118 + r22120;
        float r22122 = atan2(r22116, r22121);
        float r22123 = r22110 + r22122;
        return r22123;
}

double f_id(double lambda1, double lambda2, double phi1, double phi2) {
        double r22124 = lambda1;
        double r22125 = phi2;
        double r22126 = cos(r22125);
        double r22127 = lambda2;
        double r22128 = r22124 - r22127;
        double r22129 = sin(r22128);
        double r22130 = r22126 * r22129;
        double r22131 = phi1;
        double r22132 = cos(r22131);
        double r22133 = cos(r22128);
        double r22134 = r22126 * r22133;
        double r22135 = r22132 + r22134;
        double r22136 = atan2(r22130, r22135);
        double r22137 = r22124 + r22136;
        return r22137;
}


double f_of(float lambda1, float lambda2, float phi1, float phi2) {
        float r22138 = lambda1;
        float r22139 = phi2;
        float r22140 = cos(r22139);
        float r22141 = sin(r22138);
        float r22142 = lambda2;
        float r22143 = cos(r22142);
        float r22144 = r22141 * r22143;
        float r22145 = cos(r22138);
        float r22146 = -r22142;
        float r22147 = sin(r22146);
        float r22148 = r22145 * r22147;
        float r22149 = r22144 + r22148;
        float r22150 = r22140 * r22149;
        float r22151 = phi1;
        float r22152 = cos(r22151);
        float r22153 = r22145 * r22143;
        float r22154 = r22141 * r22147;
        float r22155 = r22153 - r22154;
        float r22156 = r22140 * r22155;
        float r22157 = r22152 + r22156;
        float r22158 = atan2(r22150, r22157);
        float r22159 = r22138 + r22158;
        return r22159;
}

double f_od(double lambda1, double lambda2, double phi1, double phi2) {
        double r22160 = lambda1;
        double r22161 = phi2;
        double r22162 = cos(r22161);
        double r22163 = sin(r22160);
        double r22164 = lambda2;
        double r22165 = cos(r22164);
        double r22166 = r22163 * r22165;
        double r22167 = cos(r22160);
        double r22168 = -r22164;
        double r22169 = sin(r22168);
        double r22170 = r22167 * r22169;
        double r22171 = r22166 + r22170;
        double r22172 = r22162 * r22171;
        double r22173 = phi1;
        double r22174 = cos(r22173);
        double r22175 = r22167 * r22165;
        double r22176 = r22163 * r22169;
        double r22177 = r22175 - r22176;
        double r22178 = r22162 * r22177;
        double r22179 = r22174 + r22178;
        double r22180 = atan2(r22172, r22179);
        double r22181 = r22160 + r22180;
        return r22181;
}

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 r22182, r22183, r22184, r22185, r22186, r22187, r22188, r22189, r22190, r22191, r22192, r22193, r22194, r22195;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        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(r22190);
        mpfr_init(r22191);
        mpfr_init(r22192);
        mpfr_init(r22193);
        mpfr_init(r22194);
        mpfr_init(r22195);
}

double f_im(double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22182, lambda1, MPFR_RNDN);
        mpfr_set_d(r22183, phi2, MPFR_RNDN);
        mpfr_cos(r22184, r22183, MPFR_RNDN);
        mpfr_set_d(r22185, lambda2, MPFR_RNDN);
        mpfr_sub(r22186, r22182, r22185, MPFR_RNDN);
        mpfr_sin(r22187, r22186, MPFR_RNDN);
        mpfr_mul(r22188, r22184, r22187, MPFR_RNDN);
        mpfr_set_d(r22189, phi1, MPFR_RNDN);
        mpfr_cos(r22190, r22189, MPFR_RNDN);
        mpfr_cos(r22191, r22186, MPFR_RNDN);
        mpfr_mul(r22192, r22184, r22191, MPFR_RNDN);
        mpfr_add(r22193, r22190, r22192, MPFR_RNDN);
        mpfr_atan2(r22194, r22188, r22193, MPFR_RNDN);
        mpfr_add(r22195, r22182, r22194, MPFR_RNDN);
        return mpfr_get_d(r22195, MPFR_RNDN);
}

static mpfr_t r22196, r22197, r22198, r22199, r22200, r22201, r22202, r22203, r22204, r22205, r22206, r22207, r22208, r22209, r22210, r22211, r22212, r22213, r22214, r22215, r22216, r22217;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22196);
        mpfr_init(r22197);
        mpfr_init(r22198);
        mpfr_init(r22199);
        mpfr_init(r22200);
        mpfr_init(r22201);
        mpfr_init(r22202);
        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);
        mpfr_init(r22217);
}

double f_fm(double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22196, lambda1, MPFR_RNDN);
        mpfr_set_d(r22197, phi2, MPFR_RNDN);
        mpfr_cos(r22198, r22197, MPFR_RNDN);
        mpfr_sin(r22199, r22196, MPFR_RNDN);
        mpfr_set_d(r22200, lambda2, MPFR_RNDN);
        mpfr_cos(r22201, r22200, MPFR_RNDN);
        mpfr_mul(r22202, r22199, r22201, MPFR_RNDN);
        mpfr_cos(r22203, r22196, MPFR_RNDN);
        mpfr_neg(r22204, r22200, MPFR_RNDN);
        mpfr_sin(r22205, r22204, MPFR_RNDN);
        mpfr_mul(r22206, r22203, r22205, MPFR_RNDN);
        mpfr_add(r22207, r22202, r22206, MPFR_RNDN);
        mpfr_mul(r22208, r22198, r22207, MPFR_RNDN);
        mpfr_set_d(r22209, phi1, MPFR_RNDN);
        mpfr_cos(r22210, r22209, MPFR_RNDN);
        mpfr_mul(r22211, r22203, r22201, MPFR_RNDN);
        mpfr_mul(r22212, r22199, r22205, MPFR_RNDN);
        mpfr_sub(r22213, r22211, r22212, MPFR_RNDN);
        mpfr_mul(r22214, r22198, r22213, MPFR_RNDN);
        mpfr_add(r22215, r22210, r22214, MPFR_RNDN);
        mpfr_atan2(r22216, r22208, r22215, MPFR_RNDN);
        mpfr_add(r22217, r22196, r22216, MPFR_RNDN);
        return mpfr_get_d(r22217, MPFR_RNDN);
}

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

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

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

