#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 r24142 = phi1;
        float r24143 = sin(r24142);
        float r24144 = phi2;
        float r24145 = sin(r24144);
        float r24146 = r24143 * r24145;
        float r24147 = cos(r24142);
        float r24148 = cos(r24144);
        float r24149 = r24147 * r24148;
        float r24150 = lambda1;
        float r24151 = lambda2;
        float r24152 = r24150 - r24151;
        float r24153 = cos(r24152);
        float r24154 = r24149 * r24153;
        float r24155 = r24146 + r24154;
        float r24156 = acos(r24155);
        float r24157 = R;
        float r24158 = r24156 * r24157;
        return r24158;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r24159 = phi1;
        double r24160 = sin(r24159);
        double r24161 = phi2;
        double r24162 = sin(r24161);
        double r24163 = r24160 * r24162;
        double r24164 = cos(r24159);
        double r24165 = cos(r24161);
        double r24166 = r24164 * r24165;
        double r24167 = lambda1;
        double r24168 = lambda2;
        double r24169 = r24167 - r24168;
        double r24170 = cos(r24169);
        double r24171 = r24166 * r24170;
        double r24172 = r24163 + r24171;
        double r24173 = acos(r24172);
        double r24174 = R;
        double r24175 = r24173 * r24174;
        return r24175;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r24176 = atan2(1.0, 0.0);
        float r24177 = 2;
        float r24178 = r24176 / r24177;
        float r24179 = phi2;
        float r24180 = cos(r24179);
        float r24181 = phi1;
        float r24182 = cos(r24181);
        float r24183 = r24180 * r24182;
        float r24184 = lambda2;
        float r24185 = sin(r24184);
        float r24186 = lambda1;
        float r24187 = sin(r24186);
        float r24188 = cos(r24184);
        float r24189 = cos(r24186);
        float r24190 = r24188 * r24189;
        float r24191 = fma(r24185, r24187, r24190);
        float r24192 = sin(r24179);
        float r24193 = sin(r24181);
        float r24194 = r24192 * r24193;
        float r24195 = fma(r24183, r24191, r24194);
        float r24196 = asin(r24195);
        float r24197 = r24178 - r24196;
        float r24198 = exp(r24197);
        float r24199 = log(r24198);
        float r24200 = R;
        float r24201 = r24199 * r24200;
        return r24201;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r24202 = atan2(1.0, 0.0);
        double r24203 = 2;
        double r24204 = r24202 / r24203;
        double r24205 = phi2;
        double r24206 = cos(r24205);
        double r24207 = phi1;
        double r24208 = cos(r24207);
        double r24209 = r24206 * r24208;
        double r24210 = lambda2;
        double r24211 = sin(r24210);
        double r24212 = lambda1;
        double r24213 = sin(r24212);
        double r24214 = cos(r24210);
        double r24215 = cos(r24212);
        double r24216 = r24214 * r24215;
        double r24217 = fma(r24211, r24213, r24216);
        double r24218 = sin(r24205);
        double r24219 = sin(r24207);
        double r24220 = r24218 * r24219;
        double r24221 = fma(r24209, r24217, r24220);
        double r24222 = asin(r24221);
        double r24223 = r24204 - r24222;
        double r24224 = exp(r24223);
        double r24225 = log(r24224);
        double r24226 = R;
        double r24227 = r24225 * r24226;
        return r24227;
}

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 r24228, r24229, r24230, r24231, r24232, r24233, r24234, r24235, r24236, r24237, r24238, r24239, r24240, r24241, r24242, r24243, r24244;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2128);
        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);
        mpfr_init(r24240);
        mpfr_init(r24241);
        mpfr_init(r24242);
        mpfr_init(r24243);
        mpfr_init(r24244);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r24228, phi1, MPFR_RNDN);
        mpfr_sin(r24229, r24228, MPFR_RNDN);
        mpfr_set_d(r24230, phi2, MPFR_RNDN);
        mpfr_sin(r24231, r24230, MPFR_RNDN);
        mpfr_mul(r24232, r24229, r24231, MPFR_RNDN);
        mpfr_cos(r24233, r24228, MPFR_RNDN);
        mpfr_cos(r24234, r24230, MPFR_RNDN);
        mpfr_mul(r24235, r24233, r24234, MPFR_RNDN);
        mpfr_set_d(r24236, lambda1, MPFR_RNDN);
        mpfr_set_d(r24237, lambda2, MPFR_RNDN);
        mpfr_sub(r24238, r24236, r24237, MPFR_RNDN);
        mpfr_cos(r24239, r24238, MPFR_RNDN);
        mpfr_mul(r24240, r24235, r24239, MPFR_RNDN);
        mpfr_add(r24241, r24232, r24240, MPFR_RNDN);
        mpfr_acos(r24242, r24241, MPFR_RNDN);
        mpfr_set_d(r24243, R, MPFR_RNDN);
        mpfr_mul(r24244, r24242, r24243, MPFR_RNDN);
        return mpfr_get_d(r24244, MPFR_RNDN);
}

static mpfr_t r24245, r24246, r24247, r24248, r24249, r24250, r24251, r24252, r24253, r24254, r24255, r24256, r24257, r24258, r24259, r24260, r24261, r24262, r24263, r24264, r24265, r24266, r24267, r24268, r24269, r24270;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2128);
        mpfr_init(r24245);
        mpfr_init_set_str(r24246, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r24265);
        mpfr_init(r24266);
        mpfr_init(r24267);
        mpfr_init(r24268);
        mpfr_init(r24269);
        mpfr_init(r24270);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_const_pi(r24245, MPFR_RNDN);
        ;
        mpfr_div(r24247, r24245, r24246, MPFR_RNDN);
        mpfr_set_d(r24248, phi2, MPFR_RNDN);
        mpfr_cos(r24249, r24248, MPFR_RNDN);
        mpfr_set_d(r24250, phi1, MPFR_RNDN);
        mpfr_cos(r24251, r24250, MPFR_RNDN);
        mpfr_mul(r24252, r24249, r24251, MPFR_RNDN);
        mpfr_set_d(r24253, lambda2, MPFR_RNDN);
        mpfr_sin(r24254, r24253, MPFR_RNDN);
        mpfr_set_d(r24255, lambda1, MPFR_RNDN);
        mpfr_sin(r24256, r24255, MPFR_RNDN);
        mpfr_cos(r24257, r24253, MPFR_RNDN);
        mpfr_cos(r24258, r24255, MPFR_RNDN);
        mpfr_mul(r24259, r24257, r24258, MPFR_RNDN);
        mpfr_fma(r24260, r24254, r24256, r24259, MPFR_RNDN);
        mpfr_sin(r24261, r24248, MPFR_RNDN);
        mpfr_sin(r24262, r24250, MPFR_RNDN);
        mpfr_mul(r24263, r24261, r24262, MPFR_RNDN);
        mpfr_fma(r24264, r24252, r24260, r24263, MPFR_RNDN);
        mpfr_asin(r24265, r24264, MPFR_RNDN);
        mpfr_sub(r24266, r24247, r24265, MPFR_RNDN);
        mpfr_exp(r24267, r24266, MPFR_RNDN);
        mpfr_log(r24268, r24267, MPFR_RNDN);
        mpfr_set_d(r24269, R, MPFR_RNDN);
        mpfr_mul(r24270, r24268, r24269, MPFR_RNDN);
        return mpfr_get_d(r24270, MPFR_RNDN);
}

static mpfr_t r24271, r24272, r24273, r24274, r24275, r24276, r24277, r24278, r24279, r24280, r24281, r24282, r24283, r24284, r24285, r24286, r24287, r24288, r24289, r24290, r24291, r24292, r24293, r24294, r24295, r24296;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2128);
        mpfr_init(r24271);
        mpfr_init_set_str(r24272, "2", 10, MPFR_RNDN);
        mpfr_init(r24273);
        mpfr_init(r24274);
        mpfr_init(r24275);
        mpfr_init(r24276);
        mpfr_init(r24277);
        mpfr_init(r24278);
        mpfr_init(r24279);
        mpfr_init(r24280);
        mpfr_init(r24281);
        mpfr_init(r24282);
        mpfr_init(r24283);
        mpfr_init(r24284);
        mpfr_init(r24285);
        mpfr_init(r24286);
        mpfr_init(r24287);
        mpfr_init(r24288);
        mpfr_init(r24289);
        mpfr_init(r24290);
        mpfr_init(r24291);
        mpfr_init(r24292);
        mpfr_init(r24293);
        mpfr_init(r24294);
        mpfr_init(r24295);
        mpfr_init(r24296);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_const_pi(r24271, MPFR_RNDN);
        ;
        mpfr_div(r24273, r24271, r24272, MPFR_RNDN);
        mpfr_set_d(r24274, phi2, MPFR_RNDN);
        mpfr_cos(r24275, r24274, MPFR_RNDN);
        mpfr_set_d(r24276, phi1, MPFR_RNDN);
        mpfr_cos(r24277, r24276, MPFR_RNDN);
        mpfr_mul(r24278, r24275, r24277, MPFR_RNDN);
        mpfr_set_d(r24279, lambda2, MPFR_RNDN);
        mpfr_sin(r24280, r24279, MPFR_RNDN);
        mpfr_set_d(r24281, lambda1, MPFR_RNDN);
        mpfr_sin(r24282, r24281, MPFR_RNDN);
        mpfr_cos(r24283, r24279, MPFR_RNDN);
        mpfr_cos(r24284, r24281, MPFR_RNDN);
        mpfr_mul(r24285, r24283, r24284, MPFR_RNDN);
        mpfr_fma(r24286, r24280, r24282, r24285, MPFR_RNDN);
        mpfr_sin(r24287, r24274, MPFR_RNDN);
        mpfr_sin(r24288, r24276, MPFR_RNDN);
        mpfr_mul(r24289, r24287, r24288, MPFR_RNDN);
        mpfr_fma(r24290, r24278, r24286, r24289, MPFR_RNDN);
        mpfr_asin(r24291, r24290, MPFR_RNDN);
        mpfr_sub(r24292, r24273, r24291, MPFR_RNDN);
        mpfr_exp(r24293, r24292, MPFR_RNDN);
        mpfr_log(r24294, r24293, MPFR_RNDN);
        mpfr_set_d(r24295, R, MPFR_RNDN);
        mpfr_mul(r24296, r24294, r24295, MPFR_RNDN);
        return mpfr_get_d(r24296, MPFR_RNDN);
}

