#include <tgmath.h>
#include <gmp.h>
#include <mpfr.h>
#include <stdio.h>
#include <stdbool.h>

char *name = "Equirectangular approximation to distance on a great circle";

double f_if(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r21922 = R;
        float r21923 = lambda1;
        float r21924 = lambda2;
        float r21925 = r21923 - r21924;
        float r21926 = phi1;
        float r21927 = phi2;
        float r21928 = r21926 + r21927;
        float r21929 = 2;
        float r21930 = r21928 / r21929;
        float r21931 = cos(r21930);
        float r21932 = r21925 * r21931;
        float r21933 = r21932 * r21932;
        float r21934 = r21926 - r21927;
        float r21935 = r21934 * r21934;
        float r21936 = r21933 + r21935;
        float r21937 = sqrt(r21936);
        float r21938 = r21922 * r21937;
        return r21938;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r21939 = R;
        double r21940 = lambda1;
        double r21941 = lambda2;
        double r21942 = r21940 - r21941;
        double r21943 = phi1;
        double r21944 = phi2;
        double r21945 = r21943 + r21944;
        double r21946 = 2;
        double r21947 = r21945 / r21946;
        double r21948 = cos(r21947);
        double r21949 = r21942 * r21948;
        double r21950 = r21949 * r21949;
        double r21951 = r21943 - r21944;
        double r21952 = r21951 * r21951;
        double r21953 = r21950 + r21952;
        double r21954 = sqrt(r21953);
        double r21955 = r21939 * r21954;
        return r21955;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r21956 = phi1;
        float r21957 = phi2;
        float r21958 = r21956 + r21957;
        float r21959 = 2;
        float r21960 = r21958 / r21959;
        float r21961 = cos(r21960);
        float r21962 = expm1(r21961);
        float r21963 = log1p(r21962);
        float r21964 = lambda1;
        float r21965 = lambda2;
        float r21966 = r21964 - r21965;
        float r21967 = r21963 * r21966;
        float r21968 = r21956 - r21957;
        float r21969 = hypot(r21967, r21968);
        float r21970 = R;
        float r21971 = r21969 * r21970;
        return r21971;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r21972 = phi1;
        double r21973 = phi2;
        double r21974 = r21972 + r21973;
        double r21975 = 2;
        double r21976 = r21974 / r21975;
        double r21977 = cos(r21976);
        double r21978 = expm1(r21977);
        double r21979 = log1p(r21978);
        double r21980 = lambda1;
        double r21981 = lambda2;
        double r21982 = r21980 - r21981;
        double r21983 = r21979 * r21982;
        double r21984 = r21972 - r21973;
        double r21985 = hypot(r21983, r21984);
        double r21986 = R;
        double r21987 = r21985 * r21986;
        return r21987;
}

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 r21988, r21989, r21990, r21991, r21992, r21993, r21994, r21995, r21996, r21997, r21998, r21999, r22000, r22001, r22002, r22003, r22004;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init(r21988);
        mpfr_init(r21989);
        mpfr_init(r21990);
        mpfr_init(r21991);
        mpfr_init(r21992);
        mpfr_init(r21993);
        mpfr_init(r21994);
        mpfr_init_set_str(r21995, "2", 10, MPFR_RNDN);
        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);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r21988, R, MPFR_RNDN);
        mpfr_set_d(r21989, lambda1, MPFR_RNDN);
        mpfr_set_d(r21990, lambda2, MPFR_RNDN);
        mpfr_sub(r21991, r21989, r21990, MPFR_RNDN);
        mpfr_set_d(r21992, phi1, MPFR_RNDN);
        mpfr_set_d(r21993, phi2, MPFR_RNDN);
        mpfr_add(r21994, r21992, r21993, MPFR_RNDN);
        ;
        mpfr_div(r21996, r21994, r21995, MPFR_RNDN);
        mpfr_cos(r21997, r21996, MPFR_RNDN);
        mpfr_mul(r21998, r21991, r21997, MPFR_RNDN);
        mpfr_mul(r21999, r21998, r21998, MPFR_RNDN);
        mpfr_sub(r22000, r21992, r21993, MPFR_RNDN);
        mpfr_mul(r22001, r22000, r22000, MPFR_RNDN);
        mpfr_add(r22002, r21999, r22001, MPFR_RNDN);
        mpfr_sqrt(r22003, r22002, MPFR_RNDN);
        mpfr_mul(r22004, r21988, r22003, MPFR_RNDN);
        return mpfr_get_d(r22004, MPFR_RNDN);
}

static mpfr_t r22005, r22006, r22007, r22008, r22009, r22010, r22011, r22012, r22013, r22014, r22015, r22016, r22017, r22018, r22019, r22020;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22005);
        mpfr_init(r22006);
        mpfr_init(r22007);
        mpfr_init_set_str(r22008, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r22018);
        mpfr_init(r22019);
        mpfr_init(r22020);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22005, phi1, MPFR_RNDN);
        mpfr_set_d(r22006, phi2, MPFR_RNDN);
        mpfr_add(r22007, r22005, r22006, MPFR_RNDN);
        ;
        mpfr_div(r22009, r22007, r22008, MPFR_RNDN);
        mpfr_cos(r22010, r22009, MPFR_RNDN);
        mpfr_expm1(r22011, r22010, MPFR_RNDN);
        mpfr_log1p(r22012, r22011, MPFR_RNDN);
        mpfr_set_d(r22013, lambda1, MPFR_RNDN);
        mpfr_set_d(r22014, lambda2, MPFR_RNDN);
        mpfr_sub(r22015, r22013, r22014, MPFR_RNDN);
        mpfr_mul(r22016, r22012, r22015, MPFR_RNDN);
        mpfr_sub(r22017, r22005, r22006, MPFR_RNDN);
        mpfr_hypot(r22018, r22016, r22017, MPFR_RNDN);
        mpfr_set_d(r22019, R, MPFR_RNDN);
        mpfr_mul(r22020, r22018, r22019, MPFR_RNDN);
        return mpfr_get_d(r22020, MPFR_RNDN);
}

static mpfr_t r22021, r22022, r22023, r22024, r22025, r22026, r22027, r22028, r22029, r22030, r22031, r22032, r22033, r22034, r22035, r22036;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22021);
        mpfr_init(r22022);
        mpfr_init(r22023);
        mpfr_init_set_str(r22024, "2", 10, MPFR_RNDN);
        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_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22021, phi1, MPFR_RNDN);
        mpfr_set_d(r22022, phi2, MPFR_RNDN);
        mpfr_add(r22023, r22021, r22022, MPFR_RNDN);
        ;
        mpfr_div(r22025, r22023, r22024, MPFR_RNDN);
        mpfr_cos(r22026, r22025, MPFR_RNDN);
        mpfr_expm1(r22027, r22026, MPFR_RNDN);
        mpfr_log1p(r22028, r22027, MPFR_RNDN);
        mpfr_set_d(r22029, lambda1, MPFR_RNDN);
        mpfr_set_d(r22030, lambda2, MPFR_RNDN);
        mpfr_sub(r22031, r22029, r22030, MPFR_RNDN);
        mpfr_mul(r22032, r22028, r22031, MPFR_RNDN);
        mpfr_sub(r22033, r22021, r22022, MPFR_RNDN);
        mpfr_hypot(r22034, r22032, r22033, MPFR_RNDN);
        mpfr_set_d(r22035, R, MPFR_RNDN);
        mpfr_mul(r22036, r22034, r22035, MPFR_RNDN);
        return mpfr_get_d(r22036, MPFR_RNDN);
}