#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 r22191 = lambda1;
        float r22192 = phi2;
        float r22193 = cos(r22192);
        float r22194 = lambda2;
        float r22195 = r22191 - r22194;
        float r22196 = sin(r22195);
        float r22197 = r22193 * r22196;
        float r22198 = phi1;
        float r22199 = cos(r22198);
        float r22200 = cos(r22195);
        float r22201 = r22193 * r22200;
        float r22202 = r22199 + r22201;
        float r22203 = atan2(r22197, r22202);
        float r22204 = r22191 + r22203;
        return r22204;
}

double f_id(double lambda1, double lambda2, double phi1, double phi2) {
        double r22205 = lambda1;
        double r22206 = phi2;
        double r22207 = cos(r22206);
        double r22208 = lambda2;
        double r22209 = r22205 - r22208;
        double r22210 = sin(r22209);
        double r22211 = r22207 * r22210;
        double r22212 = phi1;
        double r22213 = cos(r22212);
        double r22214 = cos(r22209);
        double r22215 = r22207 * r22214;
        double r22216 = r22213 + r22215;
        double r22217 = atan2(r22211, r22216);
        double r22218 = r22205 + r22217;
        return r22218;
}


double f_of(float lambda1, float lambda2, float phi1, float phi2) {
        float r22219 = phi2;
        float r22220 = cos(r22219);
        float r22221 = lambda1;
        float r22222 = sin(r22221);
        float r22223 = lambda2;
        float r22224 = cos(r22223);
        float r22225 = r22222 * r22224;
        float r22226 = cos(r22221);
        float r22227 = -r22223;
        float r22228 = sin(r22227);
        float r22229 = r22226 * r22228;
        float r22230 = r22225 + r22229;
        float r22231 = r22220 * r22230;
        float r22232 = r22226 * r22224;
        float r22233 = r22222 * r22228;
        float r22234 = r22232 - r22233;
        float r22235 = phi1;
        float r22236 = cos(r22235);
        float r22237 = fma(r22220, r22234, r22236);
        float r22238 = atan2(r22231, r22237);
        float r22239 = r22238 + r22221;
        return r22239;
}

double f_od(double lambda1, double lambda2, double phi1, double phi2) {
        double r22240 = phi2;
        double r22241 = cos(r22240);
        double r22242 = lambda1;
        double r22243 = sin(r22242);
        double r22244 = lambda2;
        double r22245 = cos(r22244);
        double r22246 = r22243 * r22245;
        double r22247 = cos(r22242);
        double r22248 = -r22244;
        double r22249 = sin(r22248);
        double r22250 = r22247 * r22249;
        double r22251 = r22246 + r22250;
        double r22252 = r22241 * r22251;
        double r22253 = r22247 * r22245;
        double r22254 = r22243 * r22249;
        double r22255 = r22253 - r22254;
        double r22256 = phi1;
        double r22257 = cos(r22256);
        double r22258 = fma(r22241, r22255, r22257);
        double r22259 = atan2(r22252, r22258);
        double r22260 = r22259 + r22242;
        return r22260;
}

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 r22261, r22262, r22263, r22264, r22265, r22266, r22267, r22268, r22269, r22270, r22271, r22272, r22273, r22274;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1680);
        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);
        mpfr_init(r22273);
        mpfr_init(r22274);
}

double f_im(double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22261, lambda1, MPFR_RNDN);
        mpfr_set_d(r22262, phi2, MPFR_RNDN);
        mpfr_cos(r22263, r22262, MPFR_RNDN);
        mpfr_set_d(r22264, lambda2, MPFR_RNDN);
        mpfr_sub(r22265, r22261, r22264, MPFR_RNDN);
        mpfr_sin(r22266, r22265, MPFR_RNDN);
        mpfr_mul(r22267, r22263, r22266, MPFR_RNDN);
        mpfr_set_d(r22268, phi1, MPFR_RNDN);
        mpfr_cos(r22269, r22268, MPFR_RNDN);
        mpfr_cos(r22270, r22265, MPFR_RNDN);
        mpfr_mul(r22271, r22263, r22270, MPFR_RNDN);
        mpfr_add(r22272, r22269, r22271, MPFR_RNDN);
        mpfr_atan2(r22273, r22267, r22272, MPFR_RNDN);
        mpfr_add(r22274, r22261, r22273, MPFR_RNDN);
        return mpfr_get_d(r22274, MPFR_RNDN);
}

static mpfr_t r22275, r22276, r22277, r22278, r22279, r22280, r22281, r22282, r22283, r22284, r22285, r22286, r22287, r22288, r22289, r22290, r22291, r22292, r22293, r22294, r22295;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1680);
        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);
        mpfr_init(r22295);
}

double f_fm(double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22275, phi2, MPFR_RNDN);
        mpfr_cos(r22276, r22275, MPFR_RNDN);
        mpfr_set_d(r22277, lambda1, MPFR_RNDN);
        mpfr_sin(r22278, r22277, MPFR_RNDN);
        mpfr_set_d(r22279, lambda2, MPFR_RNDN);
        mpfr_cos(r22280, r22279, MPFR_RNDN);
        mpfr_mul(r22281, r22278, r22280, MPFR_RNDN);
        mpfr_cos(r22282, r22277, MPFR_RNDN);
        mpfr_neg(r22283, r22279, MPFR_RNDN);
        mpfr_sin(r22284, r22283, MPFR_RNDN);
        mpfr_mul(r22285, r22282, r22284, MPFR_RNDN);
        mpfr_add(r22286, r22281, r22285, MPFR_RNDN);
        mpfr_mul(r22287, r22276, r22286, MPFR_RNDN);
        mpfr_mul(r22288, r22282, r22280, MPFR_RNDN);
        mpfr_mul(r22289, r22278, r22284, MPFR_RNDN);
        mpfr_sub(r22290, r22288, r22289, MPFR_RNDN);
        mpfr_set_d(r22291, phi1, MPFR_RNDN);
        mpfr_cos(r22292, r22291, MPFR_RNDN);
        mpfr_fma(r22293, r22276, r22290, r22292, MPFR_RNDN);
        mpfr_atan2(r22294, r22287, r22293, MPFR_RNDN);
        mpfr_add(r22295, r22294, r22277, MPFR_RNDN);
        return mpfr_get_d(r22295, MPFR_RNDN);
}

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

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1680);
        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);
}

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

