#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 r21867 = phi1;
        float r21868 = sin(r21867);
        float r21869 = phi2;
        float r21870 = sin(r21869);
        float r21871 = r21868 * r21870;
        float r21872 = cos(r21867);
        float r21873 = cos(r21869);
        float r21874 = r21872 * r21873;
        float r21875 = lambda1;
        float r21876 = lambda2;
        float r21877 = r21875 - r21876;
        float r21878 = cos(r21877);
        float r21879 = r21874 * r21878;
        float r21880 = r21871 + r21879;
        float r21881 = acos(r21880);
        float r21882 = R;
        float r21883 = r21881 * r21882;
        return r21883;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r21884 = phi1;
        double r21885 = sin(r21884);
        double r21886 = phi2;
        double r21887 = sin(r21886);
        double r21888 = r21885 * r21887;
        double r21889 = cos(r21884);
        double r21890 = cos(r21886);
        double r21891 = r21889 * r21890;
        double r21892 = lambda1;
        double r21893 = lambda2;
        double r21894 = r21892 - r21893;
        double r21895 = cos(r21894);
        double r21896 = r21891 * r21895;
        double r21897 = r21888 + r21896;
        double r21898 = acos(r21897);
        double r21899 = R;
        double r21900 = r21898 * r21899;
        return r21900;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r21901 = phi1;
        float r21902 = sin(r21901);
        float r21903 = phi2;
        float r21904 = sin(r21903);
        float r21905 = r21902 * r21904;
        float r21906 = exp(r21905);
        float r21907 = log(r21906);
        float r21908 = cos(r21901);
        float r21909 = cos(r21903);
        float r21910 = r21908 * r21909;
        float r21911 = lambda1;
        float r21912 = cos(r21911);
        float r21913 = lambda2;
        float r21914 = cos(r21913);
        float r21915 = r21912 * r21914;
        float r21916 = sin(r21911);
        float r21917 = -r21913;
        float r21918 = sin(r21917);
        float r21919 = r21916 * r21918;
        float r21920 = r21915 - r21919;
        float r21921 = r21910 * r21920;
        float r21922 = r21907 + r21921;
        float r21923 = acos(r21922);
        float r21924 = R;
        float r21925 = r21923 * r21924;
        return r21925;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r21926 = phi1;
        double r21927 = sin(r21926);
        double r21928 = phi2;
        double r21929 = sin(r21928);
        double r21930 = r21927 * r21929;
        double r21931 = exp(r21930);
        double r21932 = log(r21931);
        double r21933 = cos(r21926);
        double r21934 = cos(r21928);
        double r21935 = r21933 * r21934;
        double r21936 = lambda1;
        double r21937 = cos(r21936);
        double r21938 = lambda2;
        double r21939 = cos(r21938);
        double r21940 = r21937 * r21939;
        double r21941 = sin(r21936);
        double r21942 = -r21938;
        double r21943 = sin(r21942);
        double r21944 = r21941 * r21943;
        double r21945 = r21940 - r21944;
        double r21946 = r21935 * r21945;
        double r21947 = r21932 + r21946;
        double r21948 = acos(r21947);
        double r21949 = R;
        double r21950 = r21948 * r21949;
        return r21950;
}

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 r21951, r21952, r21953, r21954, r21955, r21956, r21957, r21958, r21959, r21960, r21961, r21962, r21963, r21964, r21965, r21966, r21967;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2128);
        mpfr_init(r21951);
        mpfr_init(r21952);
        mpfr_init(r21953);
        mpfr_init(r21954);
        mpfr_init(r21955);
        mpfr_init(r21956);
        mpfr_init(r21957);
        mpfr_init(r21958);
        mpfr_init(r21959);
        mpfr_init(r21960);
        mpfr_init(r21961);
        mpfr_init(r21962);
        mpfr_init(r21963);
        mpfr_init(r21964);
        mpfr_init(r21965);
        mpfr_init(r21966);
        mpfr_init(r21967);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21951, phi1, MPFR_RNDN);
        mpfr_sin(r21952, r21951, MPFR_RNDN);
        mpfr_set_d(r21953, phi2, MPFR_RNDN);
        mpfr_sin(r21954, r21953, MPFR_RNDN);
        mpfr_mul(r21955, r21952, r21954, MPFR_RNDN);
        mpfr_cos(r21956, r21951, MPFR_RNDN);
        mpfr_cos(r21957, r21953, MPFR_RNDN);
        mpfr_mul(r21958, r21956, r21957, MPFR_RNDN);
        mpfr_set_d(r21959, lambda1, MPFR_RNDN);
        mpfr_set_d(r21960, lambda2, MPFR_RNDN);
        mpfr_sub(r21961, r21959, r21960, MPFR_RNDN);
        mpfr_cos(r21962, r21961, MPFR_RNDN);
        mpfr_mul(r21963, r21958, r21962, MPFR_RNDN);
        mpfr_add(r21964, r21955, r21963, MPFR_RNDN);
        mpfr_acos(r21965, r21964, MPFR_RNDN);
        mpfr_set_d(r21966, R, MPFR_RNDN);
        mpfr_mul(r21967, r21965, r21966, MPFR_RNDN);
        return mpfr_get_d(r21967, MPFR_RNDN);
}

static mpfr_t r21968, r21969, r21970, r21971, r21972, r21973, r21974, r21975, r21976, r21977, r21978, r21979, r21980, r21981, r21982, r21983, r21984, r21985, r21986, r21987, r21988, r21989, r21990, r21991, r21992;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2128);
        mpfr_init(r21968);
        mpfr_init(r21969);
        mpfr_init(r21970);
        mpfr_init(r21971);
        mpfr_init(r21972);
        mpfr_init(r21973);
        mpfr_init(r21974);
        mpfr_init(r21975);
        mpfr_init(r21976);
        mpfr_init(r21977);
        mpfr_init(r21978);
        mpfr_init(r21979);
        mpfr_init(r21980);
        mpfr_init(r21981);
        mpfr_init(r21982);
        mpfr_init(r21983);
        mpfr_init(r21984);
        mpfr_init(r21985);
        mpfr_init(r21986);
        mpfr_init(r21987);
        mpfr_init(r21988);
        mpfr_init(r21989);
        mpfr_init(r21990);
        mpfr_init(r21991);
        mpfr_init(r21992);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21968, phi1, MPFR_RNDN);
        mpfr_sin(r21969, r21968, MPFR_RNDN);
        mpfr_set_d(r21970, phi2, MPFR_RNDN);
        mpfr_sin(r21971, r21970, MPFR_RNDN);
        mpfr_mul(r21972, r21969, r21971, MPFR_RNDN);
        mpfr_exp(r21973, r21972, MPFR_RNDN);
        mpfr_log(r21974, r21973, MPFR_RNDN);
        mpfr_cos(r21975, r21968, MPFR_RNDN);
        mpfr_cos(r21976, r21970, MPFR_RNDN);
        mpfr_mul(r21977, r21975, r21976, MPFR_RNDN);
        mpfr_set_d(r21978, lambda1, MPFR_RNDN);
        mpfr_cos(r21979, r21978, MPFR_RNDN);
        mpfr_set_d(r21980, lambda2, MPFR_RNDN);
        mpfr_cos(r21981, r21980, MPFR_RNDN);
        mpfr_mul(r21982, r21979, r21981, MPFR_RNDN);
        mpfr_sin(r21983, r21978, MPFR_RNDN);
        mpfr_neg(r21984, r21980, MPFR_RNDN);
        mpfr_sin(r21985, r21984, MPFR_RNDN);
        mpfr_mul(r21986, r21983, r21985, MPFR_RNDN);
        mpfr_sub(r21987, r21982, r21986, MPFR_RNDN);
        mpfr_mul(r21988, r21977, r21987, MPFR_RNDN);
        mpfr_add(r21989, r21974, r21988, MPFR_RNDN);
        mpfr_acos(r21990, r21989, MPFR_RNDN);
        mpfr_set_d(r21991, R, MPFR_RNDN);
        mpfr_mul(r21992, r21990, r21991, MPFR_RNDN);
        return mpfr_get_d(r21992, MPFR_RNDN);
}

static mpfr_t r21993, r21994, r21995, r21996, r21997, r21998, r21999, r22000, r22001, r22002, r22003, r22004, r22005, r22006, r22007, r22008, r22009, r22010, r22011, r22012, r22013, r22014, r22015, r22016, r22017;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2128);
        mpfr_init(r21993);
        mpfr_init(r21994);
        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);
        mpfr_init(r22012);
        mpfr_init(r22013);
        mpfr_init(r22014);
        mpfr_init(r22015);
        mpfr_init(r22016);
        mpfr_init(r22017);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21993, phi1, MPFR_RNDN);
        mpfr_sin(r21994, r21993, MPFR_RNDN);
        mpfr_set_d(r21995, phi2, MPFR_RNDN);
        mpfr_sin(r21996, r21995, MPFR_RNDN);
        mpfr_mul(r21997, r21994, r21996, MPFR_RNDN);
        mpfr_exp(r21998, r21997, MPFR_RNDN);
        mpfr_log(r21999, r21998, MPFR_RNDN);
        mpfr_cos(r22000, r21993, MPFR_RNDN);
        mpfr_cos(r22001, r21995, MPFR_RNDN);
        mpfr_mul(r22002, r22000, r22001, MPFR_RNDN);
        mpfr_set_d(r22003, lambda1, MPFR_RNDN);
        mpfr_cos(r22004, r22003, MPFR_RNDN);
        mpfr_set_d(r22005, lambda2, MPFR_RNDN);
        mpfr_cos(r22006, r22005, MPFR_RNDN);
        mpfr_mul(r22007, r22004, r22006, MPFR_RNDN);
        mpfr_sin(r22008, r22003, MPFR_RNDN);
        mpfr_neg(r22009, r22005, MPFR_RNDN);
        mpfr_sin(r22010, r22009, MPFR_RNDN);
        mpfr_mul(r22011, r22008, r22010, MPFR_RNDN);
        mpfr_sub(r22012, r22007, r22011, MPFR_RNDN);
        mpfr_mul(r22013, r22002, r22012, MPFR_RNDN);
        mpfr_add(r22014, r21999, r22013, MPFR_RNDN);
        mpfr_acos(r22015, r22014, MPFR_RNDN);
        mpfr_set_d(r22016, R, MPFR_RNDN);
        mpfr_mul(r22017, r22015, r22016, MPFR_RNDN);
        return mpfr_get_d(r22017, MPFR_RNDN);
}