#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 r23010 = R;
        float r23011 = lambda1;
        float r23012 = lambda2;
        float r23013 = r23011 - r23012;
        float r23014 = phi1;
        float r23015 = phi2;
        float r23016 = r23014 + r23015;
        float r23017 = 2;
        float r23018 = r23016 / r23017;
        float r23019 = cos(r23018);
        float r23020 = r23013 * r23019;
        float r23021 = r23020 * r23020;
        float r23022 = r23014 - r23015;
        float r23023 = r23022 * r23022;
        float r23024 = r23021 + r23023;
        float r23025 = sqrt(r23024);
        float r23026 = r23010 * r23025;
        return r23026;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r23027 = R;
        double r23028 = lambda1;
        double r23029 = lambda2;
        double r23030 = r23028 - r23029;
        double r23031 = phi1;
        double r23032 = phi2;
        double r23033 = r23031 + r23032;
        double r23034 = 2;
        double r23035 = r23033 / r23034;
        double r23036 = cos(r23035);
        double r23037 = r23030 * r23036;
        double r23038 = r23037 * r23037;
        double r23039 = r23031 - r23032;
        double r23040 = r23039 * r23039;
        double r23041 = r23038 + r23040;
        double r23042 = sqrt(r23041);
        double r23043 = r23027 * r23042;
        return r23043;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r23044 = phi1;
        float r23045 = phi2;
        float r23046 = r23044 + r23045;
        float r23047 = 2;
        float r23048 = r23046 / r23047;
        float r23049 = cos(r23048);
        float r23050 = log1p(r23049);
        float r23051 = expm1(r23050);
        float r23052 = lambda1;
        float r23053 = lambda2;
        float r23054 = r23052 - r23053;
        float r23055 = r23051 * r23054;
        float r23056 = r23044 - r23045;
        float r23057 = hypot(r23055, r23056);
        float r23058 = R;
        float r23059 = r23057 * r23058;
        return r23059;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r23060 = phi1;
        double r23061 = phi2;
        double r23062 = r23060 + r23061;
        double r23063 = 2;
        double r23064 = r23062 / r23063;
        double r23065 = cos(r23064);
        double r23066 = log1p(r23065);
        double r23067 = expm1(r23066);
        double r23068 = lambda1;
        double r23069 = lambda2;
        double r23070 = r23068 - r23069;
        double r23071 = r23067 * r23070;
        double r23072 = r23060 - r23061;
        double r23073 = hypot(r23071, r23072);
        double r23074 = R;
        double r23075 = r23073 * r23074;
        return r23075;
}

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 r23076, r23077, r23078, r23079, r23080, r23081, r23082, r23083, r23084, r23085, r23086, r23087, r23088, r23089, r23090, r23091, r23092;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init(r23076);
        mpfr_init(r23077);
        mpfr_init(r23078);
        mpfr_init(r23079);
        mpfr_init(r23080);
        mpfr_init(r23081);
        mpfr_init(r23082);
        mpfr_init_set_str(r23083, "2", 10, MPFR_RNDN);
        mpfr_init(r23084);
        mpfr_init(r23085);
        mpfr_init(r23086);
        mpfr_init(r23087);
        mpfr_init(r23088);
        mpfr_init(r23089);
        mpfr_init(r23090);
        mpfr_init(r23091);
        mpfr_init(r23092);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r23076, R, MPFR_RNDN);
        mpfr_set_d(r23077, lambda1, MPFR_RNDN);
        mpfr_set_d(r23078, lambda2, MPFR_RNDN);
        mpfr_sub(r23079, r23077, r23078, MPFR_RNDN);
        mpfr_set_d(r23080, phi1, MPFR_RNDN);
        mpfr_set_d(r23081, phi2, MPFR_RNDN);
        mpfr_add(r23082, r23080, r23081, MPFR_RNDN);
        ;
        mpfr_div(r23084, r23082, r23083, MPFR_RNDN);
        mpfr_cos(r23085, r23084, MPFR_RNDN);
        mpfr_mul(r23086, r23079, r23085, MPFR_RNDN);
        mpfr_mul(r23087, r23086, r23086, MPFR_RNDN);
        mpfr_sub(r23088, r23080, r23081, MPFR_RNDN);
        mpfr_mul(r23089, r23088, r23088, MPFR_RNDN);
        mpfr_add(r23090, r23087, r23089, MPFR_RNDN);
        mpfr_sqrt(r23091, r23090, MPFR_RNDN);
        mpfr_mul(r23092, r23076, r23091, MPFR_RNDN);
        return mpfr_get_d(r23092, MPFR_RNDN);
}

static mpfr_t r23093, r23094, r23095, r23096, r23097, r23098, r23099, r23100, r23101, r23102, r23103, r23104, r23105, r23106, r23107, r23108;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r23093);
        mpfr_init(r23094);
        mpfr_init(r23095);
        mpfr_init_set_str(r23096, "2", 10, MPFR_RNDN);
        mpfr_init(r23097);
        mpfr_init(r23098);
        mpfr_init(r23099);
        mpfr_init(r23100);
        mpfr_init(r23101);
        mpfr_init(r23102);
        mpfr_init(r23103);
        mpfr_init(r23104);
        mpfr_init(r23105);
        mpfr_init(r23106);
        mpfr_init(r23107);
        mpfr_init(r23108);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r23093, phi1, MPFR_RNDN);
        mpfr_set_d(r23094, phi2, MPFR_RNDN);
        mpfr_add(r23095, r23093, r23094, MPFR_RNDN);
        ;
        mpfr_div(r23097, r23095, r23096, MPFR_RNDN);
        mpfr_cos(r23098, r23097, MPFR_RNDN);
        mpfr_log1p(r23099, r23098, MPFR_RNDN);
        mpfr_expm1(r23100, r23099, MPFR_RNDN);
        mpfr_set_d(r23101, lambda1, MPFR_RNDN);
        mpfr_set_d(r23102, lambda2, MPFR_RNDN);
        mpfr_sub(r23103, r23101, r23102, MPFR_RNDN);
        mpfr_mul(r23104, r23100, r23103, MPFR_RNDN);
        mpfr_sub(r23105, r23093, r23094, MPFR_RNDN);
        mpfr_hypot(r23106, r23104, r23105, MPFR_RNDN);
        mpfr_set_d(r23107, R, MPFR_RNDN);
        mpfr_mul(r23108, r23106, r23107, MPFR_RNDN);
        return mpfr_get_d(r23108, MPFR_RNDN);
}

static mpfr_t r23109, r23110, r23111, r23112, r23113, r23114, r23115, r23116, r23117, r23118, r23119, r23120, r23121, r23122, r23123, r23124;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r23109);
        mpfr_init(r23110);
        mpfr_init(r23111);
        mpfr_init_set_str(r23112, "2", 10, MPFR_RNDN);
        mpfr_init(r23113);
        mpfr_init(r23114);
        mpfr_init(r23115);
        mpfr_init(r23116);
        mpfr_init(r23117);
        mpfr_init(r23118);
        mpfr_init(r23119);
        mpfr_init(r23120);
        mpfr_init(r23121);
        mpfr_init(r23122);
        mpfr_init(r23123);
        mpfr_init(r23124);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r23109, phi1, MPFR_RNDN);
        mpfr_set_d(r23110, phi2, MPFR_RNDN);
        mpfr_add(r23111, r23109, r23110, MPFR_RNDN);
        ;
        mpfr_div(r23113, r23111, r23112, MPFR_RNDN);
        mpfr_cos(r23114, r23113, MPFR_RNDN);
        mpfr_log1p(r23115, r23114, MPFR_RNDN);
        mpfr_expm1(r23116, r23115, MPFR_RNDN);
        mpfr_set_d(r23117, lambda1, MPFR_RNDN);
        mpfr_set_d(r23118, lambda2, MPFR_RNDN);
        mpfr_sub(r23119, r23117, r23118, MPFR_RNDN);
        mpfr_mul(r23120, r23116, r23119, MPFR_RNDN);
        mpfr_sub(r23121, r23109, r23110, MPFR_RNDN);
        mpfr_hypot(r23122, r23120, r23121, MPFR_RNDN);
        mpfr_set_d(r23123, R, MPFR_RNDN);
        mpfr_mul(r23124, r23122, r23123, MPFR_RNDN);
        return mpfr_get_d(r23124, MPFR_RNDN);
}