#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 r21970 = R;
        float r21971 = lambda1;
        float r21972 = lambda2;
        float r21973 = r21971 - r21972;
        float r21974 = phi1;
        float r21975 = phi2;
        float r21976 = r21974 + r21975;
        float r21977 = 2;
        float r21978 = r21976 / r21977;
        float r21979 = cos(r21978);
        float r21980 = r21973 * r21979;
        float r21981 = r21980 * r21980;
        float r21982 = r21974 - r21975;
        float r21983 = r21982 * r21982;
        float r21984 = r21981 + r21983;
        float r21985 = sqrt(r21984);
        float r21986 = r21970 * r21985;
        return r21986;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r21987 = R;
        double r21988 = lambda1;
        double r21989 = lambda2;
        double r21990 = r21988 - r21989;
        double r21991 = phi1;
        double r21992 = phi2;
        double r21993 = r21991 + r21992;
        double r21994 = 2;
        double r21995 = r21993 / r21994;
        double r21996 = cos(r21995);
        double r21997 = r21990 * r21996;
        double r21998 = r21997 * r21997;
        double r21999 = r21991 - r21992;
        double r22000 = r21999 * r21999;
        double r22001 = r21998 + r22000;
        double r22002 = sqrt(r22001);
        double r22003 = r21987 * r22002;
        return r22003;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r22004 = phi2;
        float r22005 = phi1;
        float r22006 = r22004 - r22005;
        float r22007 = 1.384710334621905e+126;
        bool r22008 = r22006 <= r22007;
        float r22009 = R;
        float r22010 = lambda1;
        float r22011 = lambda2;
        float r22012 = r22010 - r22011;
        float r22013 = r22005 + r22004;
        float r22014 = 2;
        float r22015 = r22013 / r22014;
        float r22016 = cos(r22015);
        float r22017 = r22012 * r22016;
        float r22018 = r22004 + r22005;
        float r22019 = r22018 / r22014;
        float r22020 = cos(r22019);
        float r22021 = 3;
        float r22022 = pow(r22020, r22021);
        float r22023 = cbrt(r22022);
        float r22024 = r22012 * r22023;
        float r22025 = r22017 * r22024;
        float r22026 = r22005 - r22004;
        float r22027 = r22026 * r22026;
        float r22028 = r22025 + r22027;
        float r22029 = sqrt(r22028);
        float r22030 = r22009 * r22029;
        float r22031 = r22009 * r22006;
        float r22032 = r22008 ? r22030 : r22031;
        return r22032;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r22033 = phi2;
        double r22034 = phi1;
        double r22035 = r22033 - r22034;
        double r22036 = 1.384710334621905e+126;
        bool r22037 = r22035 <= r22036;
        double r22038 = R;
        double r22039 = lambda1;
        double r22040 = lambda2;
        double r22041 = r22039 - r22040;
        double r22042 = r22034 + r22033;
        double r22043 = 2;
        double r22044 = r22042 / r22043;
        double r22045 = cos(r22044);
        double r22046 = r22041 * r22045;
        double r22047 = r22033 + r22034;
        double r22048 = r22047 / r22043;
        double r22049 = cos(r22048);
        double r22050 = 3;
        double r22051 = pow(r22049, r22050);
        double r22052 = cbrt(r22051);
        double r22053 = r22041 * r22052;
        double r22054 = r22046 * r22053;
        double r22055 = r22034 - r22033;
        double r22056 = r22055 * r22055;
        double r22057 = r22054 + r22056;
        double r22058 = sqrt(r22057);
        double r22059 = r22038 * r22058;
        double r22060 = r22038 * r22035;
        double r22061 = r22037 ? r22059 : r22060;
        return r22061;
}

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 r22062, r22063, r22064, r22065, r22066, r22067, r22068, r22069, r22070, r22071, r22072, r22073, r22074, r22075, r22076, r22077, r22078;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22062);
        mpfr_init(r22063);
        mpfr_init(r22064);
        mpfr_init(r22065);
        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);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22062, R, MPFR_RNDN);
        mpfr_set_d(r22063, lambda1, MPFR_RNDN);
        mpfr_set_d(r22064, lambda2, MPFR_RNDN);
        mpfr_sub(r22065, r22063, r22064, MPFR_RNDN);
        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_mul(r22072, r22065, r22071, MPFR_RNDN);
        mpfr_mul(r22073, r22072, r22072, MPFR_RNDN);
        mpfr_sub(r22074, r22066, r22067, MPFR_RNDN);
        mpfr_mul(r22075, r22074, r22074, MPFR_RNDN);
        mpfr_add(r22076, r22073, r22075, MPFR_RNDN);
        mpfr_sqrt(r22077, r22076, MPFR_RNDN);
        mpfr_mul(r22078, r22062, r22077, MPFR_RNDN);
        return mpfr_get_d(r22078, MPFR_RNDN);
}

static mpfr_t r22079, r22080, r22081, r22082, r22083, r22084, r22085, r22086, r22087, r22088, r22089, r22090, r22091, r22092, r22093, r22094, r22095, r22096, r22097, r22098, r22099, r22100, r22101, r22102, r22103, r22104, r22105, r22106, r22107;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22079);
        mpfr_init(r22080);
        mpfr_init(r22081);
        mpfr_init_set_str(r22082, "1.384710334621905e+126", 10, MPFR_RNDN);
        mpfr_init(r22083);
        mpfr_init(r22084);
        mpfr_init(r22085);
        mpfr_init(r22086);
        mpfr_init(r22087);
        mpfr_init(r22088);
        mpfr_init_set_str(r22089, "2", 10, MPFR_RNDN);
        mpfr_init(r22090);
        mpfr_init(r22091);
        mpfr_init(r22092);
        mpfr_init(r22093);
        mpfr_init(r22094);
        mpfr_init(r22095);
        mpfr_init_set_str(r22096, "3", 10, MPFR_RNDN);
        mpfr_init(r22097);
        mpfr_init(r22098);
        mpfr_init(r22099);
        mpfr_init(r22100);
        mpfr_init(r22101);
        mpfr_init(r22102);
        mpfr_init(r22103);
        mpfr_init(r22104);
        mpfr_init(r22105);
        mpfr_init(r22106);
        mpfr_init(r22107);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22079, phi2, MPFR_RNDN);
        mpfr_set_d(r22080, phi1, MPFR_RNDN);
        mpfr_sub(r22081, r22079, r22080, MPFR_RNDN);
        ;
        mpfr_set_si(r22083, mpfr_cmp(r22081, r22082) <= 0, MPFR_RNDN);
        mpfr_set_d(r22084, R, MPFR_RNDN);
        mpfr_set_d(r22085, lambda1, MPFR_RNDN);
        mpfr_set_d(r22086, lambda2, MPFR_RNDN);
        mpfr_sub(r22087, r22085, r22086, MPFR_RNDN);
        mpfr_add(r22088, r22080, r22079, MPFR_RNDN);
        ;
        mpfr_div(r22090, r22088, r22089, MPFR_RNDN);
        mpfr_cos(r22091, r22090, MPFR_RNDN);
        mpfr_mul(r22092, r22087, r22091, MPFR_RNDN);
        mpfr_add(r22093, r22079, r22080, MPFR_RNDN);
        mpfr_div(r22094, r22093, r22089, MPFR_RNDN);
        mpfr_cos(r22095, r22094, MPFR_RNDN);
        ;
        mpfr_pow(r22097, r22095, r22096, MPFR_RNDN);
        mpfr_cbrt(r22098, r22097, MPFR_RNDN);
        mpfr_mul(r22099, r22087, r22098, MPFR_RNDN);
        mpfr_mul(r22100, r22092, r22099, MPFR_RNDN);
        mpfr_sub(r22101, r22080, r22079, MPFR_RNDN);
        mpfr_mul(r22102, r22101, r22101, MPFR_RNDN);
        mpfr_add(r22103, r22100, r22102, MPFR_RNDN);
        mpfr_sqrt(r22104, r22103, MPFR_RNDN);
        mpfr_mul(r22105, r22084, r22104, MPFR_RNDN);
        mpfr_mul(r22106, r22084, r22081, MPFR_RNDN);
        if (mpfr_get_si(r22083, MPFR_RNDN)) { mpfr_set(r22107, r22105, MPFR_RNDN); } else { mpfr_set(r22107, r22106, MPFR_RNDN); };
        return mpfr_get_d(r22107, MPFR_RNDN);
}

static mpfr_t r22108, r22109, r22110, r22111, r22112, r22113, r22114, r22115, r22116, r22117, r22118, r22119, r22120, r22121, r22122, r22123, r22124, r22125, r22126, r22127, r22128, r22129, r22130, r22131, r22132, r22133, r22134, r22135, r22136;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22108);
        mpfr_init(r22109);
        mpfr_init(r22110);
        mpfr_init_set_str(r22111, "1.384710334621905e+126", 10, MPFR_RNDN);
        mpfr_init(r22112);
        mpfr_init(r22113);
        mpfr_init(r22114);
        mpfr_init(r22115);
        mpfr_init(r22116);
        mpfr_init(r22117);
        mpfr_init_set_str(r22118, "2", 10, MPFR_RNDN);
        mpfr_init(r22119);
        mpfr_init(r22120);
        mpfr_init(r22121);
        mpfr_init(r22122);
        mpfr_init(r22123);
        mpfr_init(r22124);
        mpfr_init_set_str(r22125, "3", 10, MPFR_RNDN);
        mpfr_init(r22126);
        mpfr_init(r22127);
        mpfr_init(r22128);
        mpfr_init(r22129);
        mpfr_init(r22130);
        mpfr_init(r22131);
        mpfr_init(r22132);
        mpfr_init(r22133);
        mpfr_init(r22134);
        mpfr_init(r22135);
        mpfr_init(r22136);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r22108, phi2, MPFR_RNDN);
        mpfr_set_d(r22109, phi1, MPFR_RNDN);
        mpfr_sub(r22110, r22108, r22109, MPFR_RNDN);
        ;
        mpfr_set_si(r22112, mpfr_cmp(r22110, r22111) <= 0, MPFR_RNDN);
        mpfr_set_d(r22113, R, MPFR_RNDN);
        mpfr_set_d(r22114, lambda1, MPFR_RNDN);
        mpfr_set_d(r22115, lambda2, MPFR_RNDN);
        mpfr_sub(r22116, r22114, r22115, MPFR_RNDN);
        mpfr_add(r22117, r22109, r22108, MPFR_RNDN);
        ;
        mpfr_div(r22119, r22117, r22118, MPFR_RNDN);
        mpfr_cos(r22120, r22119, MPFR_RNDN);
        mpfr_mul(r22121, r22116, r22120, MPFR_RNDN);
        mpfr_add(r22122, r22108, r22109, MPFR_RNDN);
        mpfr_div(r22123, r22122, r22118, MPFR_RNDN);
        mpfr_cos(r22124, r22123, MPFR_RNDN);
        ;
        mpfr_pow(r22126, r22124, r22125, MPFR_RNDN);
        mpfr_cbrt(r22127, r22126, MPFR_RNDN);
        mpfr_mul(r22128, r22116, r22127, MPFR_RNDN);
        mpfr_mul(r22129, r22121, r22128, MPFR_RNDN);
        mpfr_sub(r22130, r22109, r22108, MPFR_RNDN);
        mpfr_mul(r22131, r22130, r22130, MPFR_RNDN);
        mpfr_add(r22132, r22129, r22131, MPFR_RNDN);
        mpfr_sqrt(r22133, r22132, MPFR_RNDN);
        mpfr_mul(r22134, r22113, r22133, MPFR_RNDN);
        mpfr_mul(r22135, r22113, r22110, MPFR_RNDN);
        if (mpfr_get_si(r22112, MPFR_RNDN)) { mpfr_set(r22136, r22134, MPFR_RNDN); } else { mpfr_set(r22136, r22135, MPFR_RNDN); };
        return mpfr_get_d(r22136, MPFR_RNDN);
}