#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 r21986 = R;
        float r21987 = lambda1;
        float r21988 = lambda2;
        float r21989 = r21987 - r21988;
        float r21990 = phi1;
        float r21991 = phi2;
        float r21992 = r21990 + r21991;
        float r21993 = 2;
        float r21994 = r21992 / r21993;
        float r21995 = cos(r21994);
        float r21996 = r21989 * r21995;
        float r21997 = r21996 * r21996;
        float r21998 = r21990 - r21991;
        float r21999 = r21998 * r21998;
        float r22000 = r21997 + r21999;
        float r22001 = sqrt(r22000);
        float r22002 = r21986 * r22001;
        return r22002;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r22003 = R;
        double r22004 = lambda1;
        double r22005 = lambda2;
        double r22006 = r22004 - r22005;
        double r22007 = phi1;
        double r22008 = phi2;
        double r22009 = r22007 + r22008;
        double r22010 = 2;
        double r22011 = r22009 / r22010;
        double r22012 = cos(r22011);
        double r22013 = r22006 * r22012;
        double r22014 = r22013 * r22013;
        double r22015 = r22007 - r22008;
        double r22016 = r22015 * r22015;
        double r22017 = r22014 + r22016;
        double r22018 = sqrt(r22017);
        double r22019 = r22003 * r22018;
        return r22019;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r22020 = phi2;
        float r22021 = phi1;
        float r22022 = r22020 + r22021;
        float r22023 = 2;
        float r22024 = r22022 / r22023;
        float r22025 = cos(r22024);
        float r22026 = 3;
        float r22027 = pow(r22025, r22026);
        float r22028 = cbrt(r22027);
        float r22029 = lambda1;
        float r22030 = lambda2;
        float r22031 = r22029 - r22030;
        float r22032 = r22028 * r22031;
        float r22033 = r22021 - r22020;
        float r22034 = hypot(r22032, r22033);
        float r22035 = R;
        float r22036 = r22034 * r22035;
        return r22036;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r22037 = phi2;
        double r22038 = phi1;
        double r22039 = r22037 + r22038;
        double r22040 = 2;
        double r22041 = r22039 / r22040;
        double r22042 = cos(r22041);
        double r22043 = 3;
        double r22044 = pow(r22042, r22043);
        double r22045 = cbrt(r22044);
        double r22046 = lambda1;
        double r22047 = lambda2;
        double r22048 = r22046 - r22047;
        double r22049 = r22045 * r22048;
        double r22050 = r22038 - r22037;
        double r22051 = hypot(r22049, r22050);
        double r22052 = R;
        double r22053 = r22051 * r22052;
        return r22053;
}

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 r22054, r22055, r22056, r22057, r22058, r22059, r22060, r22061, r22062, r22063, r22064, r22065, r22066, r22067, r22068, r22069, r22070;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22054);
        mpfr_init(r22055);
        mpfr_init(r22056);
        mpfr_init(r22057);
        mpfr_init(r22058);
        mpfr_init(r22059);
        mpfr_init(r22060);
        mpfr_init_set_str(r22061, "2", 10, MPFR_RNDN);
        mpfr_init(r22062);
        mpfr_init(r22063);
        mpfr_init(r22064);
        mpfr_init(r22065);
        mpfr_init(r22066);
        mpfr_init(r22067);
        mpfr_init(r22068);
        mpfr_init(r22069);
        mpfr_init(r22070);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22054, R, MPFR_RNDN);
        mpfr_set_d(r22055, lambda1, MPFR_RNDN);
        mpfr_set_d(r22056, lambda2, MPFR_RNDN);
        mpfr_sub(r22057, r22055, r22056, MPFR_RNDN);
        mpfr_set_d(r22058, phi1, MPFR_RNDN);
        mpfr_set_d(r22059, phi2, MPFR_RNDN);
        mpfr_add(r22060, r22058, r22059, MPFR_RNDN);
        ;
        mpfr_div(r22062, r22060, r22061, MPFR_RNDN);
        mpfr_cos(r22063, r22062, MPFR_RNDN);
        mpfr_mul(r22064, r22057, r22063, MPFR_RNDN);
        mpfr_mul(r22065, r22064, r22064, MPFR_RNDN);
        mpfr_sub(r22066, r22058, r22059, MPFR_RNDN);
        mpfr_mul(r22067, r22066, r22066, MPFR_RNDN);
        mpfr_add(r22068, r22065, r22067, MPFR_RNDN);
        mpfr_sqrt(r22069, r22068, MPFR_RNDN);
        mpfr_mul(r22070, r22054, r22069, MPFR_RNDN);
        return mpfr_get_d(r22070, MPFR_RNDN);
}

static mpfr_t r22071, r22072, r22073, r22074, r22075, r22076, r22077, r22078, r22079, r22080, r22081, r22082, r22083, r22084, r22085, r22086, r22087;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22071);
        mpfr_init(r22072);
        mpfr_init(r22073);
        mpfr_init_set_str(r22074, "2", 10, MPFR_RNDN);
        mpfr_init(r22075);
        mpfr_init(r22076);
        mpfr_init_set_str(r22077, "3", 10, MPFR_RNDN);
        mpfr_init(r22078);
        mpfr_init(r22079);
        mpfr_init(r22080);
        mpfr_init(r22081);
        mpfr_init(r22082);
        mpfr_init(r22083);
        mpfr_init(r22084);
        mpfr_init(r22085);
        mpfr_init(r22086);
        mpfr_init(r22087);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22071, phi2, MPFR_RNDN);
        mpfr_set_d(r22072, phi1, MPFR_RNDN);
        mpfr_add(r22073, r22071, r22072, MPFR_RNDN);
        ;
        mpfr_div(r22075, r22073, r22074, MPFR_RNDN);
        mpfr_cos(r22076, r22075, MPFR_RNDN);
        ;
        mpfr_pow(r22078, r22076, r22077, MPFR_RNDN);
        mpfr_cbrt(r22079, r22078, MPFR_RNDN);
        mpfr_set_d(r22080, lambda1, MPFR_RNDN);
        mpfr_set_d(r22081, lambda2, MPFR_RNDN);
        mpfr_sub(r22082, r22080, r22081, MPFR_RNDN);
        mpfr_mul(r22083, r22079, r22082, MPFR_RNDN);
        mpfr_sub(r22084, r22072, r22071, MPFR_RNDN);
        mpfr_hypot(r22085, r22083, r22084, MPFR_RNDN);
        mpfr_set_d(r22086, R, MPFR_RNDN);
        mpfr_mul(r22087, r22085, r22086, MPFR_RNDN);
        return mpfr_get_d(r22087, MPFR_RNDN);
}

static mpfr_t r22088, r22089, r22090, r22091, r22092, r22093, r22094, r22095, r22096, r22097, r22098, r22099, r22100, r22101, r22102, r22103, r22104;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22088);
        mpfr_init(r22089);
        mpfr_init(r22090);
        mpfr_init_set_str(r22091, "2", 10, MPFR_RNDN);
        mpfr_init(r22092);
        mpfr_init(r22093);
        mpfr_init_set_str(r22094, "3", 10, MPFR_RNDN);
        mpfr_init(r22095);
        mpfr_init(r22096);
        mpfr_init(r22097);
        mpfr_init(r22098);
        mpfr_init(r22099);
        mpfr_init(r22100);
        mpfr_init(r22101);
        mpfr_init(r22102);
        mpfr_init(r22103);
        mpfr_init(r22104);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22088, phi2, MPFR_RNDN);
        mpfr_set_d(r22089, phi1, MPFR_RNDN);
        mpfr_add(r22090, r22088, r22089, MPFR_RNDN);
        ;
        mpfr_div(r22092, r22090, r22091, MPFR_RNDN);
        mpfr_cos(r22093, r22092, MPFR_RNDN);
        ;
        mpfr_pow(r22095, r22093, r22094, MPFR_RNDN);
        mpfr_cbrt(r22096, r22095, MPFR_RNDN);
        mpfr_set_d(r22097, lambda1, MPFR_RNDN);
        mpfr_set_d(r22098, lambda2, MPFR_RNDN);
        mpfr_sub(r22099, r22097, r22098, MPFR_RNDN);
        mpfr_mul(r22100, r22096, r22099, MPFR_RNDN);
        mpfr_sub(r22101, r22089, r22088, MPFR_RNDN);
        mpfr_hypot(r22102, r22100, r22101, MPFR_RNDN);
        mpfr_set_d(r22103, R, MPFR_RNDN);
        mpfr_mul(r22104, r22102, r22103, MPFR_RNDN);
        return mpfr_get_d(r22104, MPFR_RNDN);
}