#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 r21983 = R;
        float r21984 = lambda1;
        float r21985 = lambda2;
        float r21986 = r21984 - r21985;
        float r21987 = phi1;
        float r21988 = phi2;
        float r21989 = r21987 + r21988;
        float r21990 = 2;
        float r21991 = r21989 / r21990;
        float r21992 = cos(r21991);
        float r21993 = r21986 * r21992;
        float r21994 = r21993 * r21993;
        float r21995 = r21987 - r21988;
        float r21996 = r21995 * r21995;
        float r21997 = r21994 + r21996;
        float r21998 = sqrt(r21997);
        float r21999 = r21983 * r21998;
        return r21999;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r22000 = R;
        double r22001 = lambda1;
        double r22002 = lambda2;
        double r22003 = r22001 - r22002;
        double r22004 = phi1;
        double r22005 = phi2;
        double r22006 = r22004 + r22005;
        double r22007 = 2;
        double r22008 = r22006 / r22007;
        double r22009 = cos(r22008);
        double r22010 = r22003 * r22009;
        double r22011 = r22010 * r22010;
        double r22012 = r22004 - r22005;
        double r22013 = r22012 * r22012;
        double r22014 = r22011 + r22013;
        double r22015 = sqrt(r22014);
        double r22016 = r22000 * r22015;
        return r22016;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r22017 = phi1;
        float r22018 = phi2;
        float r22019 = r22017 + r22018;
        float r22020 = 2;
        float r22021 = r22019 / r22020;
        float r22022 = cos(r22021);
        float r22023 = exp(r22022);
        float r22024 = log(r22023);
        float r22025 = lambda1;
        float r22026 = lambda2;
        float r22027 = r22025 - r22026;
        float r22028 = r22024 * r22027;
        float r22029 = r22017 - r22018;
        float r22030 = hypot(r22028, r22029);
        float r22031 = R;
        float r22032 = r22030 * r22031;
        return r22032;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r22033 = phi1;
        double r22034 = phi2;
        double r22035 = r22033 + r22034;
        double r22036 = 2;
        double r22037 = r22035 / r22036;
        double r22038 = cos(r22037);
        double r22039 = exp(r22038);
        double r22040 = log(r22039);
        double r22041 = lambda1;
        double r22042 = lambda2;
        double r22043 = r22041 - r22042;
        double r22044 = r22040 * r22043;
        double r22045 = r22033 - r22034;
        double r22046 = hypot(r22044, r22045);
        double r22047 = R;
        double r22048 = r22046 * r22047;
        return r22048;
}

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 r22049, r22050, r22051, r22052, r22053, r22054, r22055, r22056, r22057, r22058, r22059, r22060, r22061, r22062, r22063, r22064, r22065;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22049);
        mpfr_init(r22050);
        mpfr_init(r22051);
        mpfr_init(r22052);
        mpfr_init(r22053);
        mpfr_init(r22054);
        mpfr_init(r22055);
        mpfr_init_set_str(r22056, "2", 10, MPFR_RNDN);
        mpfr_init(r22057);
        mpfr_init(r22058);
        mpfr_init(r22059);
        mpfr_init(r22060);
        mpfr_init(r22061);
        mpfr_init(r22062);
        mpfr_init(r22063);
        mpfr_init(r22064);
        mpfr_init(r22065);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22049, R, MPFR_RNDN);
        mpfr_set_d(r22050, lambda1, MPFR_RNDN);
        mpfr_set_d(r22051, lambda2, MPFR_RNDN);
        mpfr_sub(r22052, r22050, r22051, MPFR_RNDN);
        mpfr_set_d(r22053, phi1, MPFR_RNDN);
        mpfr_set_d(r22054, phi2, MPFR_RNDN);
        mpfr_add(r22055, r22053, r22054, MPFR_RNDN);
        ;
        mpfr_div(r22057, r22055, r22056, MPFR_RNDN);
        mpfr_cos(r22058, r22057, MPFR_RNDN);
        mpfr_mul(r22059, r22052, r22058, MPFR_RNDN);
        mpfr_mul(r22060, r22059, r22059, MPFR_RNDN);
        mpfr_sub(r22061, r22053, r22054, MPFR_RNDN);
        mpfr_mul(r22062, r22061, r22061, MPFR_RNDN);
        mpfr_add(r22063, r22060, r22062, MPFR_RNDN);
        mpfr_sqrt(r22064, r22063, MPFR_RNDN);
        mpfr_mul(r22065, r22049, r22064, MPFR_RNDN);
        return mpfr_get_d(r22065, MPFR_RNDN);
}

static mpfr_t r22066, r22067, r22068, r22069, r22070, r22071, r22072, r22073, r22074, r22075, r22076, r22077, r22078, r22079, r22080, r22081;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22066);
        mpfr_init(r22067);
        mpfr_init(r22068);
        mpfr_init_set_str(r22069, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r22081);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22066, phi1, MPFR_RNDN);
        mpfr_set_d(r22067, phi2, MPFR_RNDN);
        mpfr_add(r22068, r22066, r22067, MPFR_RNDN);
        ;
        mpfr_div(r22070, r22068, r22069, MPFR_RNDN);
        mpfr_cos(r22071, r22070, MPFR_RNDN);
        mpfr_exp(r22072, r22071, MPFR_RNDN);
        mpfr_log(r22073, r22072, MPFR_RNDN);
        mpfr_set_d(r22074, lambda1, MPFR_RNDN);
        mpfr_set_d(r22075, lambda2, MPFR_RNDN);
        mpfr_sub(r22076, r22074, r22075, MPFR_RNDN);
        mpfr_mul(r22077, r22073, r22076, MPFR_RNDN);
        mpfr_sub(r22078, r22066, r22067, MPFR_RNDN);
        mpfr_hypot(r22079, r22077, r22078, MPFR_RNDN);
        mpfr_set_d(r22080, R, MPFR_RNDN);
        mpfr_mul(r22081, r22079, r22080, MPFR_RNDN);
        return mpfr_get_d(r22081, MPFR_RNDN);
}

static mpfr_t 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(r22082);
        mpfr_init(r22083);
        mpfr_init(r22084);
        mpfr_init_set_str(r22085, "2", 10, MPFR_RNDN);
        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(r22082, phi1, MPFR_RNDN);
        mpfr_set_d(r22083, phi2, MPFR_RNDN);
        mpfr_add(r22084, r22082, r22083, MPFR_RNDN);
        ;
        mpfr_div(r22086, r22084, r22085, MPFR_RNDN);
        mpfr_cos(r22087, r22086, MPFR_RNDN);
        mpfr_exp(r22088, r22087, MPFR_RNDN);
        mpfr_log(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, r22082, r22083, 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);
}