#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 r21979 = R;
        float r21980 = lambda1;
        float r21981 = lambda2;
        float r21982 = r21980 - r21981;
        float r21983 = phi1;
        float r21984 = phi2;
        float r21985 = r21983 + r21984;
        float r21986 = 2;
        float r21987 = r21985 / r21986;
        float r21988 = cos(r21987);
        float r21989 = r21982 * r21988;
        float r21990 = r21989 * r21989;
        float r21991 = r21983 - r21984;
        float r21992 = r21991 * r21991;
        float r21993 = r21990 + r21992;
        float r21994 = sqrt(r21993);
        float r21995 = r21979 * r21994;
        return r21995;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r21996 = R;
        double r21997 = lambda1;
        double r21998 = lambda2;
        double r21999 = r21997 - r21998;
        double r22000 = phi1;
        double r22001 = phi2;
        double r22002 = r22000 + r22001;
        double r22003 = 2;
        double r22004 = r22002 / r22003;
        double r22005 = cos(r22004);
        double r22006 = r21999 * r22005;
        double r22007 = r22006 * r22006;
        double r22008 = r22000 - r22001;
        double r22009 = r22008 * r22008;
        double r22010 = r22007 + r22009;
        double r22011 = sqrt(r22010);
        double r22012 = r21996 * r22011;
        return r22012;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r22013 = phi1;
        float r22014 = phi2;
        float r22015 = r22013 + r22014;
        float r22016 = 2;
        float r22017 = r22015 / r22016;
        float r22018 = cos(r22017);
        float r22019 = r22018 * r22018;
        float r22020 = r22019 * r22018;
        float r22021 = cbrt(r22020);
        float r22022 = lambda1;
        float r22023 = lambda2;
        float r22024 = r22022 - r22023;
        float r22025 = r22021 * r22024;
        float r22026 = r22013 - r22014;
        float r22027 = hypot(r22025, r22026);
        float r22028 = R;
        float r22029 = r22027 * r22028;
        return r22029;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r22030 = phi1;
        double r22031 = phi2;
        double r22032 = r22030 + r22031;
        double r22033 = 2;
        double r22034 = r22032 / r22033;
        double r22035 = cos(r22034);
        double r22036 = r22035 * r22035;
        double r22037 = r22036 * r22035;
        double r22038 = cbrt(r22037);
        double r22039 = lambda1;
        double r22040 = lambda2;
        double r22041 = r22039 - r22040;
        double r22042 = r22038 * r22041;
        double r22043 = r22030 - r22031;
        double r22044 = hypot(r22042, r22043);
        double r22045 = R;
        double r22046 = r22044 * r22045;
        return r22046;
}

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 r22047, r22048, r22049, r22050, r22051, r22052, r22053, r22054, r22055, r22056, r22057, r22058, r22059, r22060, r22061, r22062, r22063;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22047);
        mpfr_init(r22048);
        mpfr_init(r22049);
        mpfr_init(r22050);
        mpfr_init(r22051);
        mpfr_init(r22052);
        mpfr_init(r22053);
        mpfr_init_set_str(r22054, "2", 10, MPFR_RNDN);
        mpfr_init(r22055);
        mpfr_init(r22056);
        mpfr_init(r22057);
        mpfr_init(r22058);
        mpfr_init(r22059);
        mpfr_init(r22060);
        mpfr_init(r22061);
        mpfr_init(r22062);
        mpfr_init(r22063);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22047, R, MPFR_RNDN);
        mpfr_set_d(r22048, lambda1, MPFR_RNDN);
        mpfr_set_d(r22049, lambda2, MPFR_RNDN);
        mpfr_sub(r22050, r22048, r22049, MPFR_RNDN);
        mpfr_set_d(r22051, phi1, MPFR_RNDN);
        mpfr_set_d(r22052, phi2, MPFR_RNDN);
        mpfr_add(r22053, r22051, r22052, MPFR_RNDN);
        ;
        mpfr_div(r22055, r22053, r22054, MPFR_RNDN);
        mpfr_cos(r22056, r22055, MPFR_RNDN);
        mpfr_mul(r22057, r22050, r22056, MPFR_RNDN);
        mpfr_mul(r22058, r22057, r22057, MPFR_RNDN);
        mpfr_sub(r22059, r22051, r22052, MPFR_RNDN);
        mpfr_mul(r22060, r22059, r22059, MPFR_RNDN);
        mpfr_add(r22061, r22058, r22060, MPFR_RNDN);
        mpfr_sqrt(r22062, r22061, MPFR_RNDN);
        mpfr_mul(r22063, r22047, r22062, MPFR_RNDN);
        return mpfr_get_d(r22063, MPFR_RNDN);
}

static mpfr_t r22064, r22065, r22066, r22067, r22068, r22069, r22070, r22071, r22072, r22073, r22074, r22075, r22076, r22077, r22078, r22079, r22080;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22064);
        mpfr_init(r22065);
        mpfr_init(r22066);
        mpfr_init_set_str(r22067, "2", 10, MPFR_RNDN);
        mpfr_init(r22068);
        mpfr_init(r22069);
        mpfr_init(r22070);
        mpfr_init(r22071);
        mpfr_init(r22072);
        mpfr_init(r22073);
        mpfr_init(r22074);
        mpfr_init(r22075);
        mpfr_init(r22076);
        mpfr_init(r22077);
        mpfr_init(r22078);
        mpfr_init(r22079);
        mpfr_init(r22080);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22064, phi1, MPFR_RNDN);
        mpfr_set_d(r22065, phi2, MPFR_RNDN);
        mpfr_add(r22066, r22064, r22065, MPFR_RNDN);
        ;
        mpfr_div(r22068, r22066, r22067, MPFR_RNDN);
        mpfr_cos(r22069, r22068, MPFR_RNDN);
        mpfr_mul(r22070, r22069, r22069, MPFR_RNDN);
        mpfr_mul(r22071, r22070, r22069, MPFR_RNDN);
        mpfr_cbrt(r22072, r22071, MPFR_RNDN);
        mpfr_set_d(r22073, lambda1, MPFR_RNDN);
        mpfr_set_d(r22074, lambda2, MPFR_RNDN);
        mpfr_sub(r22075, r22073, r22074, MPFR_RNDN);
        mpfr_mul(r22076, r22072, r22075, MPFR_RNDN);
        mpfr_sub(r22077, r22064, r22065, MPFR_RNDN);
        mpfr_hypot(r22078, r22076, r22077, MPFR_RNDN);
        mpfr_set_d(r22079, R, MPFR_RNDN);
        mpfr_mul(r22080, r22078, r22079, MPFR_RNDN);
        return mpfr_get_d(r22080, MPFR_RNDN);
}

static mpfr_t r22081, r22082, r22083, r22084, r22085, r22086, r22087, r22088, r22089, r22090, r22091, r22092, r22093, r22094, r22095, r22096, r22097;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22081);
        mpfr_init(r22082);
        mpfr_init(r22083);
        mpfr_init_set_str(r22084, "2", 10, MPFR_RNDN);
        mpfr_init(r22085);
        mpfr_init(r22086);
        mpfr_init(r22087);
        mpfr_init(r22088);
        mpfr_init(r22089);
        mpfr_init(r22090);
        mpfr_init(r22091);
        mpfr_init(r22092);
        mpfr_init(r22093);
        mpfr_init(r22094);
        mpfr_init(r22095);
        mpfr_init(r22096);
        mpfr_init(r22097);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22081, phi1, MPFR_RNDN);
        mpfr_set_d(r22082, phi2, MPFR_RNDN);
        mpfr_add(r22083, r22081, r22082, MPFR_RNDN);
        ;
        mpfr_div(r22085, r22083, r22084, MPFR_RNDN);
        mpfr_cos(r22086, r22085, MPFR_RNDN);
        mpfr_mul(r22087, r22086, r22086, MPFR_RNDN);
        mpfr_mul(r22088, r22087, r22086, MPFR_RNDN);
        mpfr_cbrt(r22089, r22088, MPFR_RNDN);
        mpfr_set_d(r22090, lambda1, MPFR_RNDN);
        mpfr_set_d(r22091, lambda2, MPFR_RNDN);
        mpfr_sub(r22092, r22090, r22091, MPFR_RNDN);
        mpfr_mul(r22093, r22089, r22092, MPFR_RNDN);
        mpfr_sub(r22094, r22081, r22082, MPFR_RNDN);
        mpfr_hypot(r22095, r22093, r22094, MPFR_RNDN);
        mpfr_set_d(r22096, R, MPFR_RNDN);
        mpfr_mul(r22097, r22095, r22096, MPFR_RNDN);
        return mpfr_get_d(r22097, MPFR_RNDN);
}