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

char *name = "Spherical law of cosines";

double f_if(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r24114 = phi1;
        float r24115 = sin(r24114);
        float r24116 = phi2;
        float r24117 = sin(r24116);
        float r24118 = r24115 * r24117;
        float r24119 = cos(r24114);
        float r24120 = cos(r24116);
        float r24121 = r24119 * r24120;
        float r24122 = lambda1;
        float r24123 = lambda2;
        float r24124 = r24122 - r24123;
        float r24125 = cos(r24124);
        float r24126 = r24121 * r24125;
        float r24127 = r24118 + r24126;
        float r24128 = acos(r24127);
        float r24129 = R;
        float r24130 = r24128 * r24129;
        return r24130;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r24131 = phi1;
        double r24132 = sin(r24131);
        double r24133 = phi2;
        double r24134 = sin(r24133);
        double r24135 = r24132 * r24134;
        double r24136 = cos(r24131);
        double r24137 = cos(r24133);
        double r24138 = r24136 * r24137;
        double r24139 = lambda1;
        double r24140 = lambda2;
        double r24141 = r24139 - r24140;
        double r24142 = cos(r24141);
        double r24143 = r24138 * r24142;
        double r24144 = r24135 + r24143;
        double r24145 = acos(r24144);
        double r24146 = R;
        double r24147 = r24145 * r24146;
        return r24147;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r24148 = phi1;
        float r24149 = sin(r24148);
        float r24150 = phi2;
        float r24151 = sin(r24150);
        float r24152 = r24149 * r24151;
        float r24153 = cos(r24148);
        float r24154 = cos(r24150);
        float r24155 = r24153 * r24154;
        float r24156 = lambda1;
        float r24157 = cos(r24156);
        float r24158 = lambda2;
        float r24159 = cos(r24158);
        float r24160 = r24157 * r24159;
        float r24161 = r24155 * r24160;
        float r24162 = sin(r24156);
        float r24163 = sin(r24158);
        float r24164 = r24162 * r24163;
        float r24165 = r24155 * r24164;
        float r24166 = exp(r24165);
        float r24167 = log(r24166);
        float r24168 = r24161 + r24167;
        float r24169 = r24152 + r24168;
        float r24170 = acos(r24169);
        float r24171 = R;
        float r24172 = r24170 * r24171;
        return r24172;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r24173 = phi1;
        double r24174 = sin(r24173);
        double r24175 = phi2;
        double r24176 = sin(r24175);
        double r24177 = r24174 * r24176;
        double r24178 = cos(r24173);
        double r24179 = cos(r24175);
        double r24180 = r24178 * r24179;
        double r24181 = lambda1;
        double r24182 = cos(r24181);
        double r24183 = lambda2;
        double r24184 = cos(r24183);
        double r24185 = r24182 * r24184;
        double r24186 = r24180 * r24185;
        double r24187 = sin(r24181);
        double r24188 = sin(r24183);
        double r24189 = r24187 * r24188;
        double r24190 = r24180 * r24189;
        double r24191 = exp(r24190);
        double r24192 = log(r24191);
        double r24193 = r24186 + r24192;
        double r24194 = r24177 + r24193;
        double r24195 = acos(r24194);
        double r24196 = R;
        double r24197 = r24195 * r24196;
        return r24197;
}

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 r24198, r24199, r24200, r24201, r24202, r24203, r24204, r24205, r24206, r24207, r24208, r24209, r24210, r24211, r24212, r24213, r24214;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2384);
        mpfr_init(r24198);
        mpfr_init(r24199);
        mpfr_init(r24200);
        mpfr_init(r24201);
        mpfr_init(r24202);
        mpfr_init(r24203);
        mpfr_init(r24204);
        mpfr_init(r24205);
        mpfr_init(r24206);
        mpfr_init(r24207);
        mpfr_init(r24208);
        mpfr_init(r24209);
        mpfr_init(r24210);
        mpfr_init(r24211);
        mpfr_init(r24212);
        mpfr_init(r24213);
        mpfr_init(r24214);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r24198, phi1, MPFR_RNDN);
        mpfr_sin(r24199, r24198, MPFR_RNDN);
        mpfr_set_d(r24200, phi2, MPFR_RNDN);
        mpfr_sin(r24201, r24200, MPFR_RNDN);
        mpfr_mul(r24202, r24199, r24201, MPFR_RNDN);
        mpfr_cos(r24203, r24198, MPFR_RNDN);
        mpfr_cos(r24204, r24200, MPFR_RNDN);
        mpfr_mul(r24205, r24203, r24204, MPFR_RNDN);
        mpfr_set_d(r24206, lambda1, MPFR_RNDN);
        mpfr_set_d(r24207, lambda2, MPFR_RNDN);
        mpfr_sub(r24208, r24206, r24207, MPFR_RNDN);
        mpfr_cos(r24209, r24208, MPFR_RNDN);
        mpfr_mul(r24210, r24205, r24209, MPFR_RNDN);
        mpfr_add(r24211, r24202, r24210, MPFR_RNDN);
        mpfr_acos(r24212, r24211, MPFR_RNDN);
        mpfr_set_d(r24213, R, MPFR_RNDN);
        mpfr_mul(r24214, r24212, r24213, MPFR_RNDN);
        return mpfr_get_d(r24214, MPFR_RNDN);
}

static mpfr_t r24215, r24216, r24217, r24218, r24219, r24220, r24221, r24222, r24223, r24224, r24225, r24226, r24227, r24228, r24229, r24230, r24231, r24232, r24233, r24234, r24235, r24236, r24237, r24238, r24239;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2384);
        mpfr_init(r24215);
        mpfr_init(r24216);
        mpfr_init(r24217);
        mpfr_init(r24218);
        mpfr_init(r24219);
        mpfr_init(r24220);
        mpfr_init(r24221);
        mpfr_init(r24222);
        mpfr_init(r24223);
        mpfr_init(r24224);
        mpfr_init(r24225);
        mpfr_init(r24226);
        mpfr_init(r24227);
        mpfr_init(r24228);
        mpfr_init(r24229);
        mpfr_init(r24230);
        mpfr_init(r24231);
        mpfr_init(r24232);
        mpfr_init(r24233);
        mpfr_init(r24234);
        mpfr_init(r24235);
        mpfr_init(r24236);
        mpfr_init(r24237);
        mpfr_init(r24238);
        mpfr_init(r24239);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r24215, phi1, MPFR_RNDN);
        mpfr_sin(r24216, r24215, MPFR_RNDN);
        mpfr_set_d(r24217, phi2, MPFR_RNDN);
        mpfr_sin(r24218, r24217, MPFR_RNDN);
        mpfr_mul(r24219, r24216, r24218, MPFR_RNDN);
        mpfr_cos(r24220, r24215, MPFR_RNDN);
        mpfr_cos(r24221, r24217, MPFR_RNDN);
        mpfr_mul(r24222, r24220, r24221, MPFR_RNDN);
        mpfr_set_d(r24223, lambda1, MPFR_RNDN);
        mpfr_cos(r24224, r24223, MPFR_RNDN);
        mpfr_set_d(r24225, lambda2, MPFR_RNDN);
        mpfr_cos(r24226, r24225, MPFR_RNDN);
        mpfr_mul(r24227, r24224, r24226, MPFR_RNDN);
        mpfr_mul(r24228, r24222, r24227, MPFR_RNDN);
        mpfr_sin(r24229, r24223, MPFR_RNDN);
        mpfr_sin(r24230, r24225, MPFR_RNDN);
        mpfr_mul(r24231, r24229, r24230, MPFR_RNDN);
        mpfr_mul(r24232, r24222, r24231, MPFR_RNDN);
        mpfr_exp(r24233, r24232, MPFR_RNDN);
        mpfr_log(r24234, r24233, MPFR_RNDN);
        mpfr_add(r24235, r24228, r24234, MPFR_RNDN);
        mpfr_add(r24236, r24219, r24235, MPFR_RNDN);
        mpfr_acos(r24237, r24236, MPFR_RNDN);
        mpfr_set_d(r24238, R, MPFR_RNDN);
        mpfr_mul(r24239, r24237, r24238, MPFR_RNDN);
        return mpfr_get_d(r24239, MPFR_RNDN);
}

static mpfr_t r24240, r24241, r24242, r24243, r24244, r24245, r24246, r24247, r24248, r24249, r24250, r24251, r24252, r24253, r24254, r24255, r24256, r24257, r24258, r24259, r24260, r24261, r24262, r24263, r24264;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2384);
        mpfr_init(r24240);
        mpfr_init(r24241);
        mpfr_init(r24242);
        mpfr_init(r24243);
        mpfr_init(r24244);
        mpfr_init(r24245);
        mpfr_init(r24246);
        mpfr_init(r24247);
        mpfr_init(r24248);
        mpfr_init(r24249);
        mpfr_init(r24250);
        mpfr_init(r24251);
        mpfr_init(r24252);
        mpfr_init(r24253);
        mpfr_init(r24254);
        mpfr_init(r24255);
        mpfr_init(r24256);
        mpfr_init(r24257);
        mpfr_init(r24258);
        mpfr_init(r24259);
        mpfr_init(r24260);
        mpfr_init(r24261);
        mpfr_init(r24262);
        mpfr_init(r24263);
        mpfr_init(r24264);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r24240, phi1, MPFR_RNDN);
        mpfr_sin(r24241, r24240, MPFR_RNDN);
        mpfr_set_d(r24242, phi2, MPFR_RNDN);
        mpfr_sin(r24243, r24242, MPFR_RNDN);
        mpfr_mul(r24244, r24241, r24243, MPFR_RNDN);
        mpfr_cos(r24245, r24240, MPFR_RNDN);
        mpfr_cos(r24246, r24242, MPFR_RNDN);
        mpfr_mul(r24247, r24245, r24246, MPFR_RNDN);
        mpfr_set_d(r24248, lambda1, MPFR_RNDN);
        mpfr_cos(r24249, r24248, MPFR_RNDN);
        mpfr_set_d(r24250, lambda2, MPFR_RNDN);
        mpfr_cos(r24251, r24250, MPFR_RNDN);
        mpfr_mul(r24252, r24249, r24251, MPFR_RNDN);
        mpfr_mul(r24253, r24247, r24252, MPFR_RNDN);
        mpfr_sin(r24254, r24248, MPFR_RNDN);
        mpfr_sin(r24255, r24250, MPFR_RNDN);
        mpfr_mul(r24256, r24254, r24255, MPFR_RNDN);
        mpfr_mul(r24257, r24247, r24256, MPFR_RNDN);
        mpfr_exp(r24258, r24257, MPFR_RNDN);
        mpfr_log(r24259, r24258, MPFR_RNDN);
        mpfr_add(r24260, r24253, r24259, MPFR_RNDN);
        mpfr_add(r24261, r24244, r24260, MPFR_RNDN);
        mpfr_acos(r24262, r24261, MPFR_RNDN);
        mpfr_set_d(r24263, R, MPFR_RNDN);
        mpfr_mul(r24264, r24262, r24263, MPFR_RNDN);
        return mpfr_get_d(r24264, MPFR_RNDN);
}