#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 r24086 = phi1;
        float r24087 = sin(r24086);
        float r24088 = phi2;
        float r24089 = sin(r24088);
        float r24090 = r24087 * r24089;
        float r24091 = cos(r24086);
        float r24092 = cos(r24088);
        float r24093 = r24091 * r24092;
        float r24094 = lambda1;
        float r24095 = lambda2;
        float r24096 = r24094 - r24095;
        float r24097 = cos(r24096);
        float r24098 = r24093 * r24097;
        float r24099 = r24090 + r24098;
        float r24100 = acos(r24099);
        float r24101 = R;
        float r24102 = r24100 * r24101;
        return r24102;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r24103 = phi1;
        double r24104 = sin(r24103);
        double r24105 = phi2;
        double r24106 = sin(r24105);
        double r24107 = r24104 * r24106;
        double r24108 = cos(r24103);
        double r24109 = cos(r24105);
        double r24110 = r24108 * r24109;
        double r24111 = lambda1;
        double r24112 = lambda2;
        double r24113 = r24111 - r24112;
        double r24114 = cos(r24113);
        double r24115 = r24110 * r24114;
        double r24116 = r24107 + r24115;
        double r24117 = acos(r24116);
        double r24118 = R;
        double r24119 = r24117 * r24118;
        return r24119;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r24120 = phi1;
        float r24121 = sin(r24120);
        float r24122 = phi2;
        float r24123 = sin(r24122);
        float r24124 = r24121 * r24123;
        float r24125 = cos(r24120);
        float r24126 = cos(r24122);
        float r24127 = r24125 * r24126;
        float r24128 = lambda1;
        float r24129 = cos(r24128);
        float r24130 = lambda2;
        float r24131 = cos(r24130);
        float r24132 = r24129 * r24131;
        float r24133 = r24127 * r24132;
        float r24134 = sin(r24128);
        float r24135 = sin(r24130);
        float r24136 = r24134 * r24135;
        float r24137 = r24127 * r24136;
        float r24138 = exp(r24137);
        float r24139 = log(r24138);
        float r24140 = r24133 + r24139;
        float r24141 = r24124 + r24140;
        float r24142 = acos(r24141);
        float r24143 = R;
        float r24144 = r24142 * r24143;
        return r24144;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r24145 = phi1;
        double r24146 = sin(r24145);
        double r24147 = phi2;
        double r24148 = sin(r24147);
        double r24149 = r24146 * r24148;
        double r24150 = cos(r24145);
        double r24151 = cos(r24147);
        double r24152 = r24150 * r24151;
        double r24153 = lambda1;
        double r24154 = cos(r24153);
        double r24155 = lambda2;
        double r24156 = cos(r24155);
        double r24157 = r24154 * r24156;
        double r24158 = r24152 * r24157;
        double r24159 = sin(r24153);
        double r24160 = sin(r24155);
        double r24161 = r24159 * r24160;
        double r24162 = r24152 * r24161;
        double r24163 = exp(r24162);
        double r24164 = log(r24163);
        double r24165 = r24158 + r24164;
        double r24166 = r24149 + r24165;
        double r24167 = acos(r24166);
        double r24168 = R;
        double r24169 = r24167 * r24168;
        return r24169;
}

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 r24170, r24171, r24172, r24173, r24174, r24175, r24176, r24177, r24178, r24179, r24180, r24181, r24182, r24183, r24184, r24185, r24186;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2128);
        mpfr_init(r24170);
        mpfr_init(r24171);
        mpfr_init(r24172);
        mpfr_init(r24173);
        mpfr_init(r24174);
        mpfr_init(r24175);
        mpfr_init(r24176);
        mpfr_init(r24177);
        mpfr_init(r24178);
        mpfr_init(r24179);
        mpfr_init(r24180);
        mpfr_init(r24181);
        mpfr_init(r24182);
        mpfr_init(r24183);
        mpfr_init(r24184);
        mpfr_init(r24185);
        mpfr_init(r24186);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r24170, phi1, MPFR_RNDN);
        mpfr_sin(r24171, r24170, MPFR_RNDN);
        mpfr_set_d(r24172, phi2, MPFR_RNDN);
        mpfr_sin(r24173, r24172, MPFR_RNDN);
        mpfr_mul(r24174, r24171, r24173, MPFR_RNDN);
        mpfr_cos(r24175, r24170, MPFR_RNDN);
        mpfr_cos(r24176, r24172, MPFR_RNDN);
        mpfr_mul(r24177, r24175, r24176, MPFR_RNDN);
        mpfr_set_d(r24178, lambda1, MPFR_RNDN);
        mpfr_set_d(r24179, lambda2, MPFR_RNDN);
        mpfr_sub(r24180, r24178, r24179, MPFR_RNDN);
        mpfr_cos(r24181, r24180, MPFR_RNDN);
        mpfr_mul(r24182, r24177, r24181, MPFR_RNDN);
        mpfr_add(r24183, r24174, r24182, MPFR_RNDN);
        mpfr_acos(r24184, r24183, MPFR_RNDN);
        mpfr_set_d(r24185, R, MPFR_RNDN);
        mpfr_mul(r24186, r24184, r24185, MPFR_RNDN);
        return mpfr_get_d(r24186, MPFR_RNDN);
}

static mpfr_t r24187, r24188, r24189, r24190, r24191, r24192, r24193, r24194, r24195, r24196, r24197, r24198, r24199, r24200, r24201, r24202, r24203, r24204, r24205, r24206, r24207, r24208, r24209, r24210, r24211;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2128);
        mpfr_init(r24187);
        mpfr_init(r24188);
        mpfr_init(r24189);
        mpfr_init(r24190);
        mpfr_init(r24191);
        mpfr_init(r24192);
        mpfr_init(r24193);
        mpfr_init(r24194);
        mpfr_init(r24195);
        mpfr_init(r24196);
        mpfr_init(r24197);
        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);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r24187, phi1, MPFR_RNDN);
        mpfr_sin(r24188, r24187, MPFR_RNDN);
        mpfr_set_d(r24189, phi2, MPFR_RNDN);
        mpfr_sin(r24190, r24189, MPFR_RNDN);
        mpfr_mul(r24191, r24188, r24190, MPFR_RNDN);
        mpfr_cos(r24192, r24187, MPFR_RNDN);
        mpfr_cos(r24193, r24189, MPFR_RNDN);
        mpfr_mul(r24194, r24192, r24193, MPFR_RNDN);
        mpfr_set_d(r24195, lambda1, MPFR_RNDN);
        mpfr_cos(r24196, r24195, MPFR_RNDN);
        mpfr_set_d(r24197, lambda2, MPFR_RNDN);
        mpfr_cos(r24198, r24197, MPFR_RNDN);
        mpfr_mul(r24199, r24196, r24198, MPFR_RNDN);
        mpfr_mul(r24200, r24194, r24199, MPFR_RNDN);
        mpfr_sin(r24201, r24195, MPFR_RNDN);
        mpfr_sin(r24202, r24197, MPFR_RNDN);
        mpfr_mul(r24203, r24201, r24202, MPFR_RNDN);
        mpfr_mul(r24204, r24194, r24203, MPFR_RNDN);
        mpfr_exp(r24205, r24204, MPFR_RNDN);
        mpfr_log(r24206, r24205, MPFR_RNDN);
        mpfr_add(r24207, r24200, r24206, MPFR_RNDN);
        mpfr_add(r24208, r24191, r24207, MPFR_RNDN);
        mpfr_acos(r24209, r24208, MPFR_RNDN);
        mpfr_set_d(r24210, R, MPFR_RNDN);
        mpfr_mul(r24211, r24209, r24210, MPFR_RNDN);
        return mpfr_get_d(r24211, MPFR_RNDN);
}

static mpfr_t r24212, r24213, r24214, r24215, r24216, r24217, r24218, r24219, r24220, r24221, r24222, r24223, r24224, r24225, r24226, r24227, r24228, r24229, r24230, r24231, r24232, r24233, r24234, r24235, r24236;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2128);
        mpfr_init(r24212);
        mpfr_init(r24213);
        mpfr_init(r24214);
        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);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r24212, phi1, MPFR_RNDN);
        mpfr_sin(r24213, r24212, MPFR_RNDN);
        mpfr_set_d(r24214, phi2, MPFR_RNDN);
        mpfr_sin(r24215, r24214, MPFR_RNDN);
        mpfr_mul(r24216, r24213, r24215, MPFR_RNDN);
        mpfr_cos(r24217, r24212, MPFR_RNDN);
        mpfr_cos(r24218, r24214, MPFR_RNDN);
        mpfr_mul(r24219, r24217, r24218, MPFR_RNDN);
        mpfr_set_d(r24220, lambda1, MPFR_RNDN);
        mpfr_cos(r24221, r24220, MPFR_RNDN);
        mpfr_set_d(r24222, lambda2, MPFR_RNDN);
        mpfr_cos(r24223, r24222, MPFR_RNDN);
        mpfr_mul(r24224, r24221, r24223, MPFR_RNDN);
        mpfr_mul(r24225, r24219, r24224, MPFR_RNDN);
        mpfr_sin(r24226, r24220, MPFR_RNDN);
        mpfr_sin(r24227, r24222, MPFR_RNDN);
        mpfr_mul(r24228, r24226, r24227, MPFR_RNDN);
        mpfr_mul(r24229, r24219, r24228, MPFR_RNDN);
        mpfr_exp(r24230, r24229, MPFR_RNDN);
        mpfr_log(r24231, r24230, MPFR_RNDN);
        mpfr_add(r24232, r24225, r24231, MPFR_RNDN);
        mpfr_add(r24233, r24216, r24232, MPFR_RNDN);
        mpfr_acos(r24234, r24233, MPFR_RNDN);
        mpfr_set_d(r24235, R, MPFR_RNDN);
        mpfr_mul(r24236, r24234, r24235, MPFR_RNDN);
        return mpfr_get_d(r24236, MPFR_RNDN);
}