#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 r21911 = phi1;
        float r21912 = sin(r21911);
        float r21913 = phi2;
        float r21914 = sin(r21913);
        float r21915 = r21912 * r21914;
        float r21916 = cos(r21911);
        float r21917 = cos(r21913);
        float r21918 = r21916 * r21917;
        float r21919 = lambda1;
        float r21920 = lambda2;
        float r21921 = r21919 - r21920;
        float r21922 = cos(r21921);
        float r21923 = r21918 * r21922;
        float r21924 = r21915 + r21923;
        float r21925 = acos(r21924);
        float r21926 = R;
        float r21927 = r21925 * r21926;
        return r21927;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r21928 = phi1;
        double r21929 = sin(r21928);
        double r21930 = phi2;
        double r21931 = sin(r21930);
        double r21932 = r21929 * r21931;
        double r21933 = cos(r21928);
        double r21934 = cos(r21930);
        double r21935 = r21933 * r21934;
        double r21936 = lambda1;
        double r21937 = lambda2;
        double r21938 = r21936 - r21937;
        double r21939 = cos(r21938);
        double r21940 = r21935 * r21939;
        double r21941 = r21932 + r21940;
        double r21942 = acos(r21941);
        double r21943 = R;
        double r21944 = r21942 * r21943;
        return r21944;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r21945 = exp(1.0);
        float r21946 = phi2;
        float r21947 = sin(r21946);
        float r21948 = phi1;
        float r21949 = sin(r21948);
        float r21950 = r21947 * r21949;
        float r21951 = lambda1;
        float r21952 = sin(r21951);
        float r21953 = lambda2;
        float r21954 = sin(r21953);
        float r21955 = r21952 * r21954;
        float r21956 = cos(r21953);
        float r21957 = cos(r21951);
        float r21958 = r21956 * r21957;
        float r21959 = r21955 + r21958;
        float r21960 = cos(r21946);
        float r21961 = cos(r21948);
        float r21962 = r21960 * r21961;
        float r21963 = r21959 * r21962;
        float r21964 = r21950 + r21963;
        float r21965 = acos(r21964);
        float r21966 = pow(r21945, r21965);
        float r21967 = log(r21966);
        float r21968 = R;
        float r21969 = r21967 * r21968;
        return r21969;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r21970 = exp(1.0);
        double r21971 = phi2;
        double r21972 = sin(r21971);
        double r21973 = phi1;
        double r21974 = sin(r21973);
        double r21975 = r21972 * r21974;
        double r21976 = lambda1;
        double r21977 = sin(r21976);
        double r21978 = lambda2;
        double r21979 = sin(r21978);
        double r21980 = r21977 * r21979;
        double r21981 = cos(r21978);
        double r21982 = cos(r21976);
        double r21983 = r21981 * r21982;
        double r21984 = r21980 + r21983;
        double r21985 = cos(r21971);
        double r21986 = cos(r21973);
        double r21987 = r21985 * r21986;
        double r21988 = r21984 * r21987;
        double r21989 = r21975 + r21988;
        double r21990 = acos(r21989);
        double r21991 = pow(r21970, r21990);
        double r21992 = log(r21991);
        double r21993 = R;
        double r21994 = r21992 * r21993;
        return r21994;
}

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 r21995, r21996, r21997, r21998, r21999, r22000, r22001, r22002, r22003, r22004, r22005, r22006, r22007, r22008, r22009, r22010, r22011;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2128);
        mpfr_init(r21995);
        mpfr_init(r21996);
        mpfr_init(r21997);
        mpfr_init(r21998);
        mpfr_init(r21999);
        mpfr_init(r22000);
        mpfr_init(r22001);
        mpfr_init(r22002);
        mpfr_init(r22003);
        mpfr_init(r22004);
        mpfr_init(r22005);
        mpfr_init(r22006);
        mpfr_init(r22007);
        mpfr_init(r22008);
        mpfr_init(r22009);
        mpfr_init(r22010);
        mpfr_init(r22011);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21995, phi1, MPFR_RNDN);
        mpfr_sin(r21996, r21995, MPFR_RNDN);
        mpfr_set_d(r21997, phi2, MPFR_RNDN);
        mpfr_sin(r21998, r21997, MPFR_RNDN);
        mpfr_mul(r21999, r21996, r21998, MPFR_RNDN);
        mpfr_cos(r22000, r21995, MPFR_RNDN);
        mpfr_cos(r22001, r21997, MPFR_RNDN);
        mpfr_mul(r22002, r22000, r22001, MPFR_RNDN);
        mpfr_set_d(r22003, lambda1, MPFR_RNDN);
        mpfr_set_d(r22004, lambda2, MPFR_RNDN);
        mpfr_sub(r22005, r22003, r22004, MPFR_RNDN);
        mpfr_cos(r22006, r22005, MPFR_RNDN);
        mpfr_mul(r22007, r22002, r22006, MPFR_RNDN);
        mpfr_add(r22008, r21999, r22007, MPFR_RNDN);
        mpfr_acos(r22009, r22008, MPFR_RNDN);
        mpfr_set_d(r22010, R, MPFR_RNDN);
        mpfr_mul(r22011, r22009, r22010, MPFR_RNDN);
        return mpfr_get_d(r22011, MPFR_RNDN);
}

static mpfr_t r22012, r22013, r22014, r22015, r22016, r22017, r22018, r22019, r22020, r22021, r22022, r22023, r22024, r22025, r22026, r22027, r22028, r22029, r22030, r22031, r22032, r22033, r22034, r22035, r22036;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2128);
        mpfr_init(r22012);
        mpfr_init(r22013);
        mpfr_init(r22014);
        mpfr_init(r22015);
        mpfr_init(r22016);
        mpfr_init(r22017);
        mpfr_init(r22018);
        mpfr_init(r22019);
        mpfr_init(r22020);
        mpfr_init(r22021);
        mpfr_init(r22022);
        mpfr_init(r22023);
        mpfr_init(r22024);
        mpfr_init(r22025);
        mpfr_init(r22026);
        mpfr_init(r22027);
        mpfr_init(r22028);
        mpfr_init(r22029);
        mpfr_init(r22030);
        mpfr_init(r22031);
        mpfr_init(r22032);
        mpfr_init(r22033);
        mpfr_init(r22034);
        mpfr_init(r22035);
        mpfr_init(r22036);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_si(r22012, 1, MPFR_RNDN), mpfr_const_exp(r22012, r22012, MPFR_RNDN);
        mpfr_set_d(r22013, phi2, MPFR_RNDN);
        mpfr_sin(r22014, r22013, MPFR_RNDN);
        mpfr_set_d(r22015, phi1, MPFR_RNDN);
        mpfr_sin(r22016, r22015, MPFR_RNDN);
        mpfr_mul(r22017, r22014, r22016, MPFR_RNDN);
        mpfr_set_d(r22018, lambda1, MPFR_RNDN);
        mpfr_sin(r22019, r22018, MPFR_RNDN);
        mpfr_set_d(r22020, lambda2, MPFR_RNDN);
        mpfr_sin(r22021, r22020, MPFR_RNDN);
        mpfr_mul(r22022, r22019, r22021, MPFR_RNDN);
        mpfr_cos(r22023, r22020, MPFR_RNDN);
        mpfr_cos(r22024, r22018, MPFR_RNDN);
        mpfr_mul(r22025, r22023, r22024, MPFR_RNDN);
        mpfr_add(r22026, r22022, r22025, MPFR_RNDN);
        mpfr_cos(r22027, r22013, MPFR_RNDN);
        mpfr_cos(r22028, r22015, MPFR_RNDN);
        mpfr_mul(r22029, r22027, r22028, MPFR_RNDN);
        mpfr_mul(r22030, r22026, r22029, MPFR_RNDN);
        mpfr_add(r22031, r22017, r22030, MPFR_RNDN);
        mpfr_acos(r22032, r22031, MPFR_RNDN);
        mpfr_pow(r22033, r22012, r22032, MPFR_RNDN);
        mpfr_log(r22034, r22033, MPFR_RNDN);
        mpfr_set_d(r22035, R, MPFR_RNDN);
        mpfr_mul(r22036, r22034, r22035, MPFR_RNDN);
        return mpfr_get_d(r22036, MPFR_RNDN);
}

static mpfr_t r22037, r22038, r22039, r22040, r22041, r22042, r22043, r22044, r22045, r22046, r22047, r22048, r22049, r22050, r22051, r22052, r22053, r22054, r22055, r22056, r22057, r22058, r22059, r22060, r22061;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2128);
        mpfr_init(r22037);
        mpfr_init(r22038);
        mpfr_init(r22039);
        mpfr_init(r22040);
        mpfr_init(r22041);
        mpfr_init(r22042);
        mpfr_init(r22043);
        mpfr_init(r22044);
        mpfr_init(r22045);
        mpfr_init(r22046);
        mpfr_init(r22047);
        mpfr_init(r22048);
        mpfr_init(r22049);
        mpfr_init(r22050);
        mpfr_init(r22051);
        mpfr_init(r22052);
        mpfr_init(r22053);
        mpfr_init(r22054);
        mpfr_init(r22055);
        mpfr_init(r22056);
        mpfr_init(r22057);
        mpfr_init(r22058);
        mpfr_init(r22059);
        mpfr_init(r22060);
        mpfr_init(r22061);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_si(r22037, 1, MPFR_RNDN), mpfr_const_exp(r22037, r22037, MPFR_RNDN);
        mpfr_set_d(r22038, phi2, MPFR_RNDN);
        mpfr_sin(r22039, r22038, MPFR_RNDN);
        mpfr_set_d(r22040, phi1, MPFR_RNDN);
        mpfr_sin(r22041, r22040, MPFR_RNDN);
        mpfr_mul(r22042, r22039, r22041, MPFR_RNDN);
        mpfr_set_d(r22043, lambda1, MPFR_RNDN);
        mpfr_sin(r22044, r22043, MPFR_RNDN);
        mpfr_set_d(r22045, lambda2, MPFR_RNDN);
        mpfr_sin(r22046, r22045, MPFR_RNDN);
        mpfr_mul(r22047, r22044, r22046, MPFR_RNDN);
        mpfr_cos(r22048, r22045, MPFR_RNDN);
        mpfr_cos(r22049, r22043, MPFR_RNDN);
        mpfr_mul(r22050, r22048, r22049, MPFR_RNDN);
        mpfr_add(r22051, r22047, r22050, MPFR_RNDN);
        mpfr_cos(r22052, r22038, MPFR_RNDN);
        mpfr_cos(r22053, r22040, MPFR_RNDN);
        mpfr_mul(r22054, r22052, r22053, MPFR_RNDN);
        mpfr_mul(r22055, r22051, r22054, MPFR_RNDN);
        mpfr_add(r22056, r22042, r22055, MPFR_RNDN);
        mpfr_acos(r22057, r22056, MPFR_RNDN);
        mpfr_pow(r22058, r22037, r22057, MPFR_RNDN);
        mpfr_log(r22059, r22058, MPFR_RNDN);
        mpfr_set_d(r22060, R, MPFR_RNDN);
        mpfr_mul(r22061, r22059, r22060, MPFR_RNDN);
        return mpfr_get_d(r22061, MPFR_RNDN);
}