#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 r24135 = phi1;
        float r24136 = sin(r24135);
        float r24137 = phi2;
        float r24138 = sin(r24137);
        float r24139 = r24136 * r24138;
        float r24140 = cos(r24135);
        float r24141 = cos(r24137);
        float r24142 = r24140 * r24141;
        float r24143 = lambda1;
        float r24144 = lambda2;
        float r24145 = r24143 - r24144;
        float r24146 = cos(r24145);
        float r24147 = r24142 * r24146;
        float r24148 = r24139 + r24147;
        float r24149 = acos(r24148);
        float r24150 = R;
        float r24151 = r24149 * r24150;
        return r24151;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r24152 = phi1;
        double r24153 = sin(r24152);
        double r24154 = phi2;
        double r24155 = sin(r24154);
        double r24156 = r24153 * r24155;
        double r24157 = cos(r24152);
        double r24158 = cos(r24154);
        double r24159 = r24157 * r24158;
        double r24160 = lambda1;
        double r24161 = lambda2;
        double r24162 = r24160 - r24161;
        double r24163 = cos(r24162);
        double r24164 = r24159 * r24163;
        double r24165 = r24156 + r24164;
        double r24166 = acos(r24165);
        double r24167 = R;
        double r24168 = r24166 * r24167;
        return r24168;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r24169 = phi1;
        float r24170 = sin(r24169);
        float r24171 = phi2;
        float r24172 = sin(r24171);
        float r24173 = r24170 * r24172;
        float r24174 = cos(r24169);
        float r24175 = 3;
        float r24176 = pow(r24174, r24175);
        float r24177 = cos(r24171);
        float r24178 = pow(r24177, r24175);
        float r24179 = r24176 * r24178;
        float r24180 = lambda1;
        float r24181 = sin(r24180);
        float r24182 = lambda2;
        float r24183 = sin(r24182);
        float r24184 = cos(r24182);
        float r24185 = cos(r24180);
        float r24186 = r24184 * r24185;
        float r24187 = fma(r24181, r24183, r24186);
        float r24188 = r24179 * r24187;
        float r24189 = r24187 * r24187;
        float r24190 = r24188 * r24189;
        float r24191 = cbrt(r24190);
        float r24192 = r24173 + r24191;
        float r24193 = acos(r24192);
        float r24194 = R;
        float r24195 = r24193 * r24194;
        return r24195;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r24196 = phi1;
        double r24197 = sin(r24196);
        double r24198 = phi2;
        double r24199 = sin(r24198);
        double r24200 = r24197 * r24199;
        double r24201 = cos(r24196);
        double r24202 = 3;
        double r24203 = pow(r24201, r24202);
        double r24204 = cos(r24198);
        double r24205 = pow(r24204, r24202);
        double r24206 = r24203 * r24205;
        double r24207 = lambda1;
        double r24208 = sin(r24207);
        double r24209 = lambda2;
        double r24210 = sin(r24209);
        double r24211 = cos(r24209);
        double r24212 = cos(r24207);
        double r24213 = r24211 * r24212;
        double r24214 = fma(r24208, r24210, r24213);
        double r24215 = r24206 * r24214;
        double r24216 = r24214 * r24214;
        double r24217 = r24215 * r24216;
        double r24218 = cbrt(r24217);
        double r24219 = r24200 + r24218;
        double r24220 = acos(r24219);
        double r24221 = R;
        double r24222 = r24220 * r24221;
        return r24222;
}

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 r24223, r24224, r24225, r24226, r24227, r24228, r24229, r24230, r24231, r24232, r24233, r24234, r24235, r24236, r24237, r24238, r24239;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2128);
        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_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r24223, phi1, MPFR_RNDN);
        mpfr_sin(r24224, r24223, MPFR_RNDN);
        mpfr_set_d(r24225, phi2, MPFR_RNDN);
        mpfr_sin(r24226, r24225, MPFR_RNDN);
        mpfr_mul(r24227, r24224, r24226, MPFR_RNDN);
        mpfr_cos(r24228, r24223, MPFR_RNDN);
        mpfr_cos(r24229, r24225, MPFR_RNDN);
        mpfr_mul(r24230, r24228, r24229, MPFR_RNDN);
        mpfr_set_d(r24231, lambda1, MPFR_RNDN);
        mpfr_set_d(r24232, lambda2, MPFR_RNDN);
        mpfr_sub(r24233, r24231, r24232, MPFR_RNDN);
        mpfr_cos(r24234, r24233, MPFR_RNDN);
        mpfr_mul(r24235, r24230, r24234, MPFR_RNDN);
        mpfr_add(r24236, r24227, 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, r24265, r24266;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2128);
        mpfr_init(r24240);
        mpfr_init(r24241);
        mpfr_init(r24242);
        mpfr_init(r24243);
        mpfr_init(r24244);
        mpfr_init(r24245);
        mpfr_init_set_str(r24246, "3", 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);
}

double f_fm(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_pow(r24247, r24245, r24246, MPFR_RNDN);
        mpfr_cos(r24248, r24242, MPFR_RNDN);
        mpfr_pow(r24249, r24248, r24246, MPFR_RNDN);
        mpfr_mul(r24250, r24247, r24249, MPFR_RNDN);
        mpfr_set_d(r24251, lambda1, MPFR_RNDN);
        mpfr_sin(r24252, r24251, MPFR_RNDN);
        mpfr_set_d(r24253, lambda2, MPFR_RNDN);
        mpfr_sin(r24254, r24253, MPFR_RNDN);
        mpfr_cos(r24255, r24253, MPFR_RNDN);
        mpfr_cos(r24256, r24251, MPFR_RNDN);
        mpfr_mul(r24257, r24255, r24256, MPFR_RNDN);
        mpfr_fma(r24258, r24252, r24254, r24257, MPFR_RNDN);
        mpfr_mul(r24259, r24250, r24258, MPFR_RNDN);
        mpfr_mul(r24260, r24258, r24258, MPFR_RNDN);
        mpfr_mul(r24261, r24259, r24260, MPFR_RNDN);
        mpfr_cbrt(r24262, r24261, MPFR_RNDN);
        mpfr_add(r24263, r24244, r24262, MPFR_RNDN);
        mpfr_acos(r24264, r24263, MPFR_RNDN);
        mpfr_set_d(r24265, R, MPFR_RNDN);
        mpfr_mul(r24266, r24264, r24265, MPFR_RNDN);
        return mpfr_get_d(r24266, MPFR_RNDN);
}

static mpfr_t r24267, r24268, r24269, r24270, r24271, r24272, r24273, r24274, r24275, r24276, r24277, r24278, r24279, r24280, r24281, r24282, r24283, r24284, r24285, r24286, r24287, r24288, r24289, r24290, r24291, r24292, r24293;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2128);
        mpfr_init(r24267);
        mpfr_init(r24268);
        mpfr_init(r24269);
        mpfr_init(r24270);
        mpfr_init(r24271);
        mpfr_init(r24272);
        mpfr_init_set_str(r24273, "3", 10, MPFR_RNDN);
        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);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r24267, phi1, MPFR_RNDN);
        mpfr_sin(r24268, r24267, MPFR_RNDN);
        mpfr_set_d(r24269, phi2, MPFR_RNDN);
        mpfr_sin(r24270, r24269, MPFR_RNDN);
        mpfr_mul(r24271, r24268, r24270, MPFR_RNDN);
        mpfr_cos(r24272, r24267, MPFR_RNDN);
        ;
        mpfr_pow(r24274, r24272, r24273, MPFR_RNDN);
        mpfr_cos(r24275, r24269, MPFR_RNDN);
        mpfr_pow(r24276, r24275, r24273, MPFR_RNDN);
        mpfr_mul(r24277, r24274, r24276, MPFR_RNDN);
        mpfr_set_d(r24278, lambda1, MPFR_RNDN);
        mpfr_sin(r24279, r24278, MPFR_RNDN);
        mpfr_set_d(r24280, lambda2, MPFR_RNDN);
        mpfr_sin(r24281, r24280, MPFR_RNDN);
        mpfr_cos(r24282, r24280, MPFR_RNDN);
        mpfr_cos(r24283, r24278, MPFR_RNDN);
        mpfr_mul(r24284, r24282, r24283, MPFR_RNDN);
        mpfr_fma(r24285, r24279, r24281, r24284, MPFR_RNDN);
        mpfr_mul(r24286, r24277, r24285, MPFR_RNDN);
        mpfr_mul(r24287, r24285, r24285, MPFR_RNDN);
        mpfr_mul(r24288, r24286, r24287, MPFR_RNDN);
        mpfr_cbrt(r24289, r24288, MPFR_RNDN);
        mpfr_add(r24290, r24271, r24289, MPFR_RNDN);
        mpfr_acos(r24291, r24290, MPFR_RNDN);
        mpfr_set_d(r24292, R, MPFR_RNDN);
        mpfr_mul(r24293, r24291, r24292, MPFR_RNDN);
        return mpfr_get_d(r24293, MPFR_RNDN);
}

