#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 r23001 = R;
        float r23002 = lambda1;
        float r23003 = lambda2;
        float r23004 = r23002 - r23003;
        float r23005 = phi1;
        float r23006 = phi2;
        float r23007 = r23005 + r23006;
        float r23008 = 2;
        float r23009 = r23007 / r23008;
        float r23010 = cos(r23009);
        float r23011 = r23004 * r23010;
        float r23012 = r23011 * r23011;
        float r23013 = r23005 - r23006;
        float r23014 = r23013 * r23013;
        float r23015 = r23012 + r23014;
        float r23016 = sqrt(r23015);
        float r23017 = r23001 * r23016;
        return r23017;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r23018 = R;
        double r23019 = lambda1;
        double r23020 = lambda2;
        double r23021 = r23019 - r23020;
        double r23022 = phi1;
        double r23023 = phi2;
        double r23024 = r23022 + r23023;
        double r23025 = 2;
        double r23026 = r23024 / r23025;
        double r23027 = cos(r23026);
        double r23028 = r23021 * r23027;
        double r23029 = r23028 * r23028;
        double r23030 = r23022 - r23023;
        double r23031 = r23030 * r23030;
        double r23032 = r23029 + r23031;
        double r23033 = sqrt(r23032);
        double r23034 = r23018 * r23033;
        return r23034;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r23035 = phi1;
        float r23036 = phi2;
        float r23037 = r23035 + r23036;
        float r23038 = 2;
        float r23039 = r23037 / r23038;
        float r23040 = cos(r23039);
        float r23041 = lambda1;
        float r23042 = r23040 * r23041;
        float r23043 = lambda2;
        float r23044 = -r23043;
        float r23045 = r23040 * r23044;
        float r23046 = r23042 + r23045;
        float r23047 = r23035 - r23036;
        float r23048 = hypot(r23046, r23047);
        float r23049 = R;
        float r23050 = r23048 * r23049;
        return r23050;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r23051 = phi1;
        double r23052 = phi2;
        double r23053 = r23051 + r23052;
        double r23054 = 2;
        double r23055 = r23053 / r23054;
        double r23056 = cos(r23055);
        double r23057 = lambda1;
        double r23058 = r23056 * r23057;
        double r23059 = lambda2;
        double r23060 = -r23059;
        double r23061 = r23056 * r23060;
        double r23062 = r23058 + r23061;
        double r23063 = r23051 - r23052;
        double r23064 = hypot(r23062, r23063);
        double r23065 = R;
        double r23066 = r23064 * r23065;
        return r23066;
}

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 r23067, r23068, r23069, r23070, r23071, r23072, r23073, r23074, r23075, r23076, r23077, r23078, r23079, r23080, r23081, r23082, r23083;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23067);
        mpfr_init(r23068);
        mpfr_init(r23069);
        mpfr_init(r23070);
        mpfr_init(r23071);
        mpfr_init(r23072);
        mpfr_init(r23073);
        mpfr_init_set_str(r23074, "2", 10, MPFR_RNDN);
        mpfr_init(r23075);
        mpfr_init(r23076);
        mpfr_init(r23077);
        mpfr_init(r23078);
        mpfr_init(r23079);
        mpfr_init(r23080);
        mpfr_init(r23081);
        mpfr_init(r23082);
        mpfr_init(r23083);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r23067, R, MPFR_RNDN);
        mpfr_set_d(r23068, lambda1, MPFR_RNDN);
        mpfr_set_d(r23069, lambda2, MPFR_RNDN);
        mpfr_sub(r23070, r23068, r23069, MPFR_RNDN);
        mpfr_set_d(r23071, phi1, MPFR_RNDN);
        mpfr_set_d(r23072, phi2, MPFR_RNDN);
        mpfr_add(r23073, r23071, r23072, MPFR_RNDN);
        ;
        mpfr_div(r23075, r23073, r23074, MPFR_RNDN);
        mpfr_cos(r23076, r23075, MPFR_RNDN);
        mpfr_mul(r23077, r23070, r23076, MPFR_RNDN);
        mpfr_mul(r23078, r23077, r23077, MPFR_RNDN);
        mpfr_sub(r23079, r23071, r23072, MPFR_RNDN);
        mpfr_mul(r23080, r23079, r23079, MPFR_RNDN);
        mpfr_add(r23081, r23078, r23080, MPFR_RNDN);
        mpfr_sqrt(r23082, r23081, MPFR_RNDN);
        mpfr_mul(r23083, r23067, r23082, MPFR_RNDN);
        return mpfr_get_d(r23083, MPFR_RNDN);
}

static mpfr_t r23084, r23085, r23086, r23087, r23088, r23089, r23090, r23091, r23092, r23093, r23094, r23095, r23096, r23097, r23098, r23099;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23084);
        mpfr_init(r23085);
        mpfr_init(r23086);
        mpfr_init_set_str(r23087, "2", 10, MPFR_RNDN);
        mpfr_init(r23088);
        mpfr_init(r23089);
        mpfr_init(r23090);
        mpfr_init(r23091);
        mpfr_init(r23092);
        mpfr_init(r23093);
        mpfr_init(r23094);
        mpfr_init(r23095);
        mpfr_init(r23096);
        mpfr_init(r23097);
        mpfr_init(r23098);
        mpfr_init(r23099);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r23084, phi1, MPFR_RNDN);
        mpfr_set_d(r23085, phi2, MPFR_RNDN);
        mpfr_add(r23086, r23084, r23085, MPFR_RNDN);
        ;
        mpfr_div(r23088, r23086, r23087, MPFR_RNDN);
        mpfr_cos(r23089, r23088, MPFR_RNDN);
        mpfr_set_d(r23090, lambda1, MPFR_RNDN);
        mpfr_mul(r23091, r23089, r23090, MPFR_RNDN);
        mpfr_set_d(r23092, lambda2, MPFR_RNDN);
        mpfr_neg(r23093, r23092, MPFR_RNDN);
        mpfr_mul(r23094, r23089, r23093, MPFR_RNDN);
        mpfr_add(r23095, r23091, r23094, MPFR_RNDN);
        mpfr_sub(r23096, r23084, r23085, MPFR_RNDN);
        mpfr_hypot(r23097, r23095, r23096, MPFR_RNDN);
        mpfr_set_d(r23098, R, MPFR_RNDN);
        mpfr_mul(r23099, r23097, r23098, MPFR_RNDN);
        return mpfr_get_d(r23099, MPFR_RNDN);
}

static mpfr_t r23100, r23101, r23102, r23103, r23104, r23105, r23106, r23107, r23108, r23109, r23110, r23111, r23112, r23113, r23114, r23115;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23100);
        mpfr_init(r23101);
        mpfr_init(r23102);
        mpfr_init_set_str(r23103, "2", 10, MPFR_RNDN);
        mpfr_init(r23104);
        mpfr_init(r23105);
        mpfr_init(r23106);
        mpfr_init(r23107);
        mpfr_init(r23108);
        mpfr_init(r23109);
        mpfr_init(r23110);
        mpfr_init(r23111);
        mpfr_init(r23112);
        mpfr_init(r23113);
        mpfr_init(r23114);
        mpfr_init(r23115);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r23100, phi1, MPFR_RNDN);
        mpfr_set_d(r23101, phi2, MPFR_RNDN);
        mpfr_add(r23102, r23100, r23101, MPFR_RNDN);
        ;
        mpfr_div(r23104, r23102, r23103, MPFR_RNDN);
        mpfr_cos(r23105, r23104, MPFR_RNDN);
        mpfr_set_d(r23106, lambda1, MPFR_RNDN);
        mpfr_mul(r23107, r23105, r23106, MPFR_RNDN);
        mpfr_set_d(r23108, lambda2, MPFR_RNDN);
        mpfr_neg(r23109, r23108, MPFR_RNDN);
        mpfr_mul(r23110, r23105, r23109, MPFR_RNDN);
        mpfr_add(r23111, r23107, r23110, MPFR_RNDN);
        mpfr_sub(r23112, r23100, r23101, MPFR_RNDN);
        mpfr_hypot(r23113, r23111, r23112, MPFR_RNDN);
        mpfr_set_d(r23114, R, MPFR_RNDN);
        mpfr_mul(r23115, r23113, r23114, MPFR_RNDN);
        return mpfr_get_d(r23115, MPFR_RNDN);
}