#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 r18146 = phi1;
        float r18147 = sin(r18146);
        float r18148 = phi2;
        float r18149 = sin(r18148);
        float r18150 = r18147 * r18149;
        float r18151 = cos(r18146);
        float r18152 = cos(r18148);
        float r18153 = r18151 * r18152;
        float r18154 = lambda1;
        float r18155 = lambda2;
        float r18156 = r18154 - r18155;
        float r18157 = cos(r18156);
        float r18158 = r18153 * r18157;
        float r18159 = r18150 + r18158;
        float r18160 = acos(r18159);
        float r18161 = R;
        float r18162 = r18160 * r18161;
        return r18162;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r18163 = phi1;
        double r18164 = sin(r18163);
        double r18165 = phi2;
        double r18166 = sin(r18165);
        double r18167 = r18164 * r18166;
        double r18168 = cos(r18163);
        double r18169 = cos(r18165);
        double r18170 = r18168 * r18169;
        double r18171 = lambda1;
        double r18172 = lambda2;
        double r18173 = r18171 - r18172;
        double r18174 = cos(r18173);
        double r18175 = r18170 * r18174;
        double r18176 = r18167 + r18175;
        double r18177 = acos(r18176);
        double r18178 = R;
        double r18179 = r18177 * r18178;
        return r18179;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r18180 = phi1;
        float r18181 = sin(r18180);
        float r18182 = phi2;
        float r18183 = sin(r18182);
        float r18184 = r18181 * r18183;
        float r18185 = cos(r18182);
        float r18186 = cos(r18180);
        float r18187 = r18185 * r18186;
        float r18188 = lambda2;
        float r18189 = cos(r18188);
        float r18190 = lambda1;
        float r18191 = cos(r18190);
        float r18192 = r18189 * r18191;
        float r18193 = r18192 * (r18192 * r18192);
        float r18194 = sin(r18190);
        float r18195 = -r18188;
        float r18196 = sin(r18195);
        float r18197 = r18194 * r18196;
        float r18198 = r18197 * (r18197 * r18197);
        float r18199 = r18193 - r18198;
        float r18200 = r18187 * r18199;
        float r18201 = r18191 * r18189;
        float r18202 = r18201 * r18201;
        float r18203 = r18197 * r18197;
        float r18204 = r18201 * r18197;
        float r18205 = r18203 + r18204;
        float r18206 = r18202 + r18205;
        float r18207 = r18200 / r18206;
        float r18208 = r18184 + r18207;
        float r18209 = acos(r18208);
        float r18210 = R;
        float r18211 = r18209 * r18210;
        return r18211;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r18212 = phi1;
        double r18213 = sin(r18212);
        double r18214 = phi2;
        double r18215 = sin(r18214);
        double r18216 = r18213 * r18215;
        double r18217 = cos(r18214);
        double r18218 = cos(r18212);
        double r18219 = r18217 * r18218;
        double r18220 = lambda2;
        double r18221 = cos(r18220);
        double r18222 = lambda1;
        double r18223 = cos(r18222);
        double r18224 = r18221 * r18223;
        double r18225 = r18224 * (r18224 * r18224);
        double r18226 = sin(r18222);
        double r18227 = -r18220;
        double r18228 = sin(r18227);
        double r18229 = r18226 * r18228;
        double r18230 = r18229 * (r18229 * r18229);
        double r18231 = r18225 - r18230;
        double r18232 = r18219 * r18231;
        double r18233 = r18223 * r18221;
        double r18234 = r18233 * r18233;
        double r18235 = r18229 * r18229;
        double r18236 = r18233 * r18229;
        double r18237 = r18235 + r18236;
        double r18238 = r18234 + r18237;
        double r18239 = r18232 / r18238;
        double r18240 = r18216 + r18239;
        double r18241 = acos(r18240);
        double r18242 = R;
        double r18243 = r18241 * r18242;
        return r18243;
}

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 r18244, r18245, r18246, r18247, r18248, r18249, r18250, r18251, r18252, r18253, r18254, r18255, r18256, r18257, r18258, r18259, r18260;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2192);
        mpfr_init(r18244);
        mpfr_init(r18245);
        mpfr_init(r18246);
        mpfr_init(r18247);
        mpfr_init(r18248);
        mpfr_init(r18249);
        mpfr_init(r18250);
        mpfr_init(r18251);
        mpfr_init(r18252);
        mpfr_init(r18253);
        mpfr_init(r18254);
        mpfr_init(r18255);
        mpfr_init(r18256);
        mpfr_init(r18257);
        mpfr_init(r18258);
        mpfr_init(r18259);
        mpfr_init(r18260);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r18244, phi1, MPFR_RNDN);
        mpfr_sin(r18245, r18244, MPFR_RNDN);
        mpfr_set_d(r18246, phi2, MPFR_RNDN);
        mpfr_sin(r18247, r18246, MPFR_RNDN);
        mpfr_mul(r18248, r18245, r18247, MPFR_RNDN);
        mpfr_cos(r18249, r18244, MPFR_RNDN);
        mpfr_cos(r18250, r18246, MPFR_RNDN);
        mpfr_mul(r18251, r18249, r18250, MPFR_RNDN);
        mpfr_set_d(r18252, lambda1, MPFR_RNDN);
        mpfr_set_d(r18253, lambda2, MPFR_RNDN);
        mpfr_sub(r18254, r18252, r18253, MPFR_RNDN);
        mpfr_cos(r18255, r18254, MPFR_RNDN);
        mpfr_mul(r18256, r18251, r18255, MPFR_RNDN);
        mpfr_add(r18257, r18248, r18256, MPFR_RNDN);
        mpfr_acos(r18258, r18257, MPFR_RNDN);
        mpfr_set_d(r18259, R, MPFR_RNDN);
        mpfr_mul(r18260, r18258, r18259, MPFR_RNDN);
        return mpfr_get_d(r18260, MPFR_RNDN);
}

static mpfr_t r18261, r18262, r18263, r18264, r18265, r18266, r18267, r18268, r18269, r18270, r18271, r18272, r18273, r18274, r18275, r18276, r18277, r18278, r18279, r18280, r18281, r18282, r18283, r18284, r18285, r18286, r18287, r18288, r18289, r18290, r18291, r18292;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2192);
        mpfr_init(r18261);
        mpfr_init(r18262);
        mpfr_init(r18263);
        mpfr_init(r18264);
        mpfr_init(r18265);
        mpfr_init(r18266);
        mpfr_init(r18267);
        mpfr_init(r18268);
        mpfr_init(r18269);
        mpfr_init(r18270);
        mpfr_init(r18271);
        mpfr_init(r18272);
        mpfr_init(r18273);
        mpfr_init(r18274);
        mpfr_init(r18275);
        mpfr_init(r18276);
        mpfr_init(r18277);
        mpfr_init(r18278);
        mpfr_init(r18279);
        mpfr_init(r18280);
        mpfr_init(r18281);
        mpfr_init(r18282);
        mpfr_init(r18283);
        mpfr_init(r18284);
        mpfr_init(r18285);
        mpfr_init(r18286);
        mpfr_init(r18287);
        mpfr_init(r18288);
        mpfr_init(r18289);
        mpfr_init(r18290);
        mpfr_init(r18291);
        mpfr_init(r18292);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r18261, phi1, MPFR_RNDN);
        mpfr_sin(r18262, r18261, MPFR_RNDN);
        mpfr_set_d(r18263, phi2, MPFR_RNDN);
        mpfr_sin(r18264, r18263, MPFR_RNDN);
        mpfr_mul(r18265, r18262, r18264, MPFR_RNDN);
        mpfr_cos(r18266, r18263, MPFR_RNDN);
        mpfr_cos(r18267, r18261, MPFR_RNDN);
        mpfr_mul(r18268, r18266, r18267, MPFR_RNDN);
        mpfr_set_d(r18269, lambda2, MPFR_RNDN);
        mpfr_cos(r18270, r18269, MPFR_RNDN);
        mpfr_set_d(r18271, lambda1, MPFR_RNDN);
        mpfr_cos(r18272, r18271, MPFR_RNDN);
        mpfr_mul(r18273, r18270, r18272, MPFR_RNDN);
        mpfr_mul(r18274, r18273, r18273, MPFR_RNDN); mpfr_mul(r18274, r18274, r18273, MPFR_RNDN);
        mpfr_sin(r18275, r18271, MPFR_RNDN);
        mpfr_neg(r18276, r18269, MPFR_RNDN);
        mpfr_sin(r18277, r18276, MPFR_RNDN);
        mpfr_mul(r18278, r18275, r18277, MPFR_RNDN);
        mpfr_mul(r18279, r18278, r18278, MPFR_RNDN); mpfr_mul(r18279, r18279, r18278, MPFR_RNDN);
        mpfr_sub(r18280, r18274, r18279, MPFR_RNDN);
        mpfr_mul(r18281, r18268, r18280, MPFR_RNDN);
        mpfr_mul(r18282, r18272, r18270, MPFR_RNDN);
        mpfr_sqr(r18283, r18282, MPFR_RNDN);
        mpfr_sqr(r18284, r18278, MPFR_RNDN);
        mpfr_mul(r18285, r18282, r18278, MPFR_RNDN);
        mpfr_add(r18286, r18284, r18285, MPFR_RNDN);
        mpfr_add(r18287, r18283, r18286, MPFR_RNDN);
        mpfr_div(r18288, r18281, r18287, MPFR_RNDN);
        mpfr_add(r18289, r18265, r18288, MPFR_RNDN);
        mpfr_acos(r18290, r18289, MPFR_RNDN);
        mpfr_set_d(r18291, R, MPFR_RNDN);
        mpfr_mul(r18292, r18290, r18291, MPFR_RNDN);
        return mpfr_get_d(r18292, MPFR_RNDN);
}

static mpfr_t r18293, r18294, r18295, r18296, r18297, r18298, r18299, r18300, r18301, r18302, r18303, r18304, r18305, r18306, r18307, r18308, r18309, r18310, r18311, r18312, r18313, r18314, r18315, r18316, r18317, r18318, r18319, r18320, r18321, r18322, r18323, r18324;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2192);
        mpfr_init(r18293);
        mpfr_init(r18294);
        mpfr_init(r18295);
        mpfr_init(r18296);
        mpfr_init(r18297);
        mpfr_init(r18298);
        mpfr_init(r18299);
        mpfr_init(r18300);
        mpfr_init(r18301);
        mpfr_init(r18302);
        mpfr_init(r18303);
        mpfr_init(r18304);
        mpfr_init(r18305);
        mpfr_init(r18306);
        mpfr_init(r18307);
        mpfr_init(r18308);
        mpfr_init(r18309);
        mpfr_init(r18310);
        mpfr_init(r18311);
        mpfr_init(r18312);
        mpfr_init(r18313);
        mpfr_init(r18314);
        mpfr_init(r18315);
        mpfr_init(r18316);
        mpfr_init(r18317);
        mpfr_init(r18318);
        mpfr_init(r18319);
        mpfr_init(r18320);
        mpfr_init(r18321);
        mpfr_init(r18322);
        mpfr_init(r18323);
        mpfr_init(r18324);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r18293, phi1, MPFR_RNDN);
        mpfr_sin(r18294, r18293, MPFR_RNDN);
        mpfr_set_d(r18295, phi2, MPFR_RNDN);
        mpfr_sin(r18296, r18295, MPFR_RNDN);
        mpfr_mul(r18297, r18294, r18296, MPFR_RNDN);
        mpfr_cos(r18298, r18295, MPFR_RNDN);
        mpfr_cos(r18299, r18293, MPFR_RNDN);
        mpfr_mul(r18300, r18298, r18299, MPFR_RNDN);
        mpfr_set_d(r18301, lambda2, MPFR_RNDN);
        mpfr_cos(r18302, r18301, MPFR_RNDN);
        mpfr_set_d(r18303, lambda1, MPFR_RNDN);
        mpfr_cos(r18304, r18303, MPFR_RNDN);
        mpfr_mul(r18305, r18302, r18304, MPFR_RNDN);
        mpfr_mul(r18306, r18305, r18305, MPFR_RNDN); mpfr_mul(r18306, r18306, r18305, MPFR_RNDN);
        mpfr_sin(r18307, r18303, MPFR_RNDN);
        mpfr_neg(r18308, r18301, MPFR_RNDN);
        mpfr_sin(r18309, r18308, MPFR_RNDN);
        mpfr_mul(r18310, r18307, r18309, MPFR_RNDN);
        mpfr_mul(r18311, r18310, r18310, MPFR_RNDN); mpfr_mul(r18311, r18311, r18310, MPFR_RNDN);
        mpfr_sub(r18312, r18306, r18311, MPFR_RNDN);
        mpfr_mul(r18313, r18300, r18312, MPFR_RNDN);
        mpfr_mul(r18314, r18304, r18302, MPFR_RNDN);
        mpfr_sqr(r18315, r18314, MPFR_RNDN);
        mpfr_sqr(r18316, r18310, MPFR_RNDN);
        mpfr_mul(r18317, r18314, r18310, MPFR_RNDN);
        mpfr_add(r18318, r18316, r18317, MPFR_RNDN);
        mpfr_add(r18319, r18315, r18318, MPFR_RNDN);
        mpfr_div(r18320, r18313, r18319, MPFR_RNDN);
        mpfr_add(r18321, r18297, r18320, MPFR_RNDN);
        mpfr_acos(r18322, r18321, MPFR_RNDN);
        mpfr_set_d(r18323, R, MPFR_RNDN);
        mpfr_mul(r18324, r18322, r18323, MPFR_RNDN);
        return mpfr_get_d(r18324, MPFR_RNDN);
}

