#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 r22175 = lambda1;
        float r22176 = phi2;
        float r22177 = cos(r22176);
        float r22178 = lambda2;
        float r22179 = r22175 - r22178;
        float r22180 = sin(r22179);
        float r22181 = r22177 * r22180;
        float r22182 = phi1;
        float r22183 = cos(r22182);
        float r22184 = cos(r22179);
        float r22185 = r22177 * r22184;
        float r22186 = r22183 + r22185;
        float r22187 = atan2(r22181, r22186);
        float r22188 = r22175 + r22187;
        return r22188;
}

double f_id(double lambda1, double lambda2, double phi1, double phi2) {
        double r22189 = lambda1;
        double r22190 = phi2;
        double r22191 = cos(r22190);
        double r22192 = lambda2;
        double r22193 = r22189 - r22192;
        double r22194 = sin(r22193);
        double r22195 = r22191 * r22194;
        double r22196 = phi1;
        double r22197 = cos(r22196);
        double r22198 = cos(r22193);
        double r22199 = r22191 * r22198;
        double r22200 = r22197 + r22199;
        double r22201 = atan2(r22195, r22200);
        double r22202 = r22189 + r22201;
        return r22202;
}


double f_of(float lambda1, float lambda2, float phi1, float phi2) {
        float r22203 = lambda1;
        float r22204 = phi2;
        float r22205 = cos(r22204);
        float r22206 = sin(r22203);
        float r22207 = lambda2;
        float r22208 = cos(r22207);
        float r22209 = r22206 * r22208;
        float r22210 = cos(r22203);
        float r22211 = -r22207;
        float r22212 = sin(r22211);
        float r22213 = r22210 * r22212;
        float r22214 = r22209 + r22213;
        float r22215 = r22205 * r22214;
        float r22216 = phi1;
        float r22217 = cos(r22216);
        float r22218 = exp(r22217);
        float r22219 = exp(r22205);
        float r22220 = sin(r22207);
        float r22221 = r22220 * r22206;
        float r22222 = r22208 * r22210;
        float r22223 = r22221 + r22222;
        float r22224 = pow(r22219, r22223);
        float r22225 = r22218 * r22224;
        float r22226 = log(r22225);
        float r22227 = atan2(r22215, r22226);
        float r22228 = r22203 + r22227;
        return r22228;
}

double f_od(double lambda1, double lambda2, double phi1, double phi2) {
        double r22229 = lambda1;
        double r22230 = phi2;
        double r22231 = cos(r22230);
        double r22232 = sin(r22229);
        double r22233 = lambda2;
        double r22234 = cos(r22233);
        double r22235 = r22232 * r22234;
        double r22236 = cos(r22229);
        double r22237 = -r22233;
        double r22238 = sin(r22237);
        double r22239 = r22236 * r22238;
        double r22240 = r22235 + r22239;
        double r22241 = r22231 * r22240;
        double r22242 = phi1;
        double r22243 = cos(r22242);
        double r22244 = exp(r22243);
        double r22245 = exp(r22231);
        double r22246 = sin(r22233);
        double r22247 = r22246 * r22232;
        double r22248 = r22234 * r22236;
        double r22249 = r22247 + r22248;
        double r22250 = pow(r22245, r22249);
        double r22251 = r22244 * r22250;
        double r22252 = log(r22251);
        double r22253 = atan2(r22241, r22252);
        double r22254 = r22229 + r22253;
        return r22254;
}

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 r22255, r22256, r22257, r22258, r22259, r22260, r22261, r22262, r22263, r22264, r22265, r22266, r22267, r22268;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        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);
        mpfr_init(r22265);
        mpfr_init(r22266);
        mpfr_init(r22267);
        mpfr_init(r22268);
}

double f_im(double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22255, lambda1, MPFR_RNDN);
        mpfr_set_d(r22256, phi2, MPFR_RNDN);
        mpfr_cos(r22257, r22256, MPFR_RNDN);
        mpfr_set_d(r22258, lambda2, MPFR_RNDN);
        mpfr_sub(r22259, r22255, r22258, MPFR_RNDN);
        mpfr_sin(r22260, r22259, MPFR_RNDN);
        mpfr_mul(r22261, r22257, r22260, MPFR_RNDN);
        mpfr_set_d(r22262, phi1, MPFR_RNDN);
        mpfr_cos(r22263, r22262, MPFR_RNDN);
        mpfr_cos(r22264, r22259, MPFR_RNDN);
        mpfr_mul(r22265, r22257, r22264, MPFR_RNDN);
        mpfr_add(r22266, r22263, r22265, MPFR_RNDN);
        mpfr_atan2(r22267, r22261, r22266, MPFR_RNDN);
        mpfr_add(r22268, r22255, r22267, MPFR_RNDN);
        return mpfr_get_d(r22268, MPFR_RNDN);
}

static mpfr_t r22269, r22270, r22271, r22272, r22273, r22274, r22275, r22276, r22277, r22278, r22279, r22280, r22281, r22282, r22283, r22284, r22285, r22286, r22287, r22288, r22289, r22290, r22291, r22292, r22293, r22294;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22269);
        mpfr_init(r22270);
        mpfr_init(r22271);
        mpfr_init(r22272);
        mpfr_init(r22273);
        mpfr_init(r22274);
        mpfr_init(r22275);
        mpfr_init(r22276);
        mpfr_init(r22277);
        mpfr_init(r22278);
        mpfr_init(r22279);
        mpfr_init(r22280);
        mpfr_init(r22281);
        mpfr_init(r22282);
        mpfr_init(r22283);
        mpfr_init(r22284);
        mpfr_init(r22285);
        mpfr_init(r22286);
        mpfr_init(r22287);
        mpfr_init(r22288);
        mpfr_init(r22289);
        mpfr_init(r22290);
        mpfr_init(r22291);
        mpfr_init(r22292);
        mpfr_init(r22293);
        mpfr_init(r22294);
}

double f_fm(double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22269, lambda1, MPFR_RNDN);
        mpfr_set_d(r22270, phi2, MPFR_RNDN);
        mpfr_cos(r22271, r22270, MPFR_RNDN);
        mpfr_sin(r22272, r22269, MPFR_RNDN);
        mpfr_set_d(r22273, lambda2, MPFR_RNDN);
        mpfr_cos(r22274, r22273, MPFR_RNDN);
        mpfr_mul(r22275, r22272, r22274, MPFR_RNDN);
        mpfr_cos(r22276, r22269, MPFR_RNDN);
        mpfr_neg(r22277, r22273, MPFR_RNDN);
        mpfr_sin(r22278, r22277, MPFR_RNDN);
        mpfr_mul(r22279, r22276, r22278, MPFR_RNDN);
        mpfr_add(r22280, r22275, r22279, MPFR_RNDN);
        mpfr_mul(r22281, r22271, r22280, MPFR_RNDN);
        mpfr_set_d(r22282, phi1, MPFR_RNDN);
        mpfr_cos(r22283, r22282, MPFR_RNDN);
        mpfr_exp(r22284, r22283, MPFR_RNDN);
        mpfr_exp(r22285, r22271, MPFR_RNDN);
        mpfr_sin(r22286, r22273, MPFR_RNDN);
        mpfr_mul(r22287, r22286, r22272, MPFR_RNDN);
        mpfr_mul(r22288, r22274, r22276, MPFR_RNDN);
        mpfr_add(r22289, r22287, r22288, MPFR_RNDN);
        mpfr_pow(r22290, r22285, r22289, MPFR_RNDN);
        mpfr_mul(r22291, r22284, r22290, MPFR_RNDN);
        mpfr_log(r22292, r22291, MPFR_RNDN);
        mpfr_atan2(r22293, r22281, r22292, MPFR_RNDN);
        mpfr_add(r22294, r22269, r22293, MPFR_RNDN);
        return mpfr_get_d(r22294, MPFR_RNDN);
}

static mpfr_t r22295, r22296, r22297, r22298, r22299, r22300, r22301, r22302, r22303, r22304, r22305, r22306, r22307, r22308, r22309, r22310, r22311, r22312, r22313, r22314, r22315, r22316, r22317, r22318, r22319, r22320;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22295);
        mpfr_init(r22296);
        mpfr_init(r22297);
        mpfr_init(r22298);
        mpfr_init(r22299);
        mpfr_init(r22300);
        mpfr_init(r22301);
        mpfr_init(r22302);
        mpfr_init(r22303);
        mpfr_init(r22304);
        mpfr_init(r22305);
        mpfr_init(r22306);
        mpfr_init(r22307);
        mpfr_init(r22308);
        mpfr_init(r22309);
        mpfr_init(r22310);
        mpfr_init(r22311);
        mpfr_init(r22312);
        mpfr_init(r22313);
        mpfr_init(r22314);
        mpfr_init(r22315);
        mpfr_init(r22316);
        mpfr_init(r22317);
        mpfr_init(r22318);
        mpfr_init(r22319);
        mpfr_init(r22320);
}

double f_dm(double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22295, lambda1, MPFR_RNDN);
        mpfr_set_d(r22296, phi2, MPFR_RNDN);
        mpfr_cos(r22297, r22296, MPFR_RNDN);
        mpfr_sin(r22298, r22295, MPFR_RNDN);
        mpfr_set_d(r22299, lambda2, MPFR_RNDN);
        mpfr_cos(r22300, r22299, MPFR_RNDN);
        mpfr_mul(r22301, r22298, r22300, MPFR_RNDN);
        mpfr_cos(r22302, r22295, MPFR_RNDN);
        mpfr_neg(r22303, r22299, MPFR_RNDN);
        mpfr_sin(r22304, r22303, MPFR_RNDN);
        mpfr_mul(r22305, r22302, r22304, MPFR_RNDN);
        mpfr_add(r22306, r22301, r22305, MPFR_RNDN);
        mpfr_mul(r22307, r22297, r22306, MPFR_RNDN);
        mpfr_set_d(r22308, phi1, MPFR_RNDN);
        mpfr_cos(r22309, r22308, MPFR_RNDN);
        mpfr_exp(r22310, r22309, MPFR_RNDN);
        mpfr_exp(r22311, r22297, MPFR_RNDN);
        mpfr_sin(r22312, r22299, MPFR_RNDN);
        mpfr_mul(r22313, r22312, r22298, MPFR_RNDN);
        mpfr_mul(r22314, r22300, r22302, MPFR_RNDN);
        mpfr_add(r22315, r22313, r22314, MPFR_RNDN);
        mpfr_pow(r22316, r22311, r22315, MPFR_RNDN);
        mpfr_mul(r22317, r22310, r22316, MPFR_RNDN);
        mpfr_log(r22318, r22317, MPFR_RNDN);
        mpfr_atan2(r22319, r22307, r22318, MPFR_RNDN);
        mpfr_add(r22320, r22295, r22319, MPFR_RNDN);
        return mpfr_get_d(r22320, MPFR_RNDN);
}

