#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 r23033 = R;
        float r23034 = lambda1;
        float r23035 = lambda2;
        float r23036 = r23034 - r23035;
        float r23037 = phi1;
        float r23038 = phi2;
        float r23039 = r23037 + r23038;
        float r23040 = 2;
        float r23041 = r23039 / r23040;
        float r23042 = cos(r23041);
        float r23043 = r23036 * r23042;
        float r23044 = r23043 * r23043;
        float r23045 = r23037 - r23038;
        float r23046 = r23045 * r23045;
        float r23047 = r23044 + r23046;
        float r23048 = sqrt(r23047);
        float r23049 = r23033 * r23048;
        return r23049;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r23050 = R;
        double r23051 = lambda1;
        double r23052 = lambda2;
        double r23053 = r23051 - r23052;
        double r23054 = phi1;
        double r23055 = phi2;
        double r23056 = r23054 + r23055;
        double r23057 = 2;
        double r23058 = r23056 / r23057;
        double r23059 = cos(r23058);
        double r23060 = r23053 * r23059;
        double r23061 = r23060 * r23060;
        double r23062 = r23054 - r23055;
        double r23063 = r23062 * r23062;
        double r23064 = r23061 + r23063;
        double r23065 = sqrt(r23064);
        double r23066 = r23050 * r23065;
        return r23066;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r23067 = phi1;
        float r23068 = phi2;
        float r23069 = r23067 + r23068;
        float r23070 = 2;
        float r23071 = r23069 / r23070;
        float r23072 = cos(r23071);
        float r23073 = expm1(r23072);
        float r23074 = log1p(r23073);
        float r23075 = lambda1;
        float r23076 = lambda2;
        float r23077 = r23075 - r23076;
        float r23078 = r23074 * r23077;
        float r23079 = r23067 - r23068;
        float r23080 = hypot(r23078, r23079);
        float r23081 = R;
        float r23082 = r23080 * r23081;
        return r23082;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r23083 = phi1;
        double r23084 = phi2;
        double r23085 = r23083 + r23084;
        double r23086 = 2;
        double r23087 = r23085 / r23086;
        double r23088 = cos(r23087);
        double r23089 = expm1(r23088);
        double r23090 = log1p(r23089);
        double r23091 = lambda1;
        double r23092 = lambda2;
        double r23093 = r23091 - r23092;
        double r23094 = r23090 * r23093;
        double r23095 = r23083 - r23084;
        double r23096 = hypot(r23094, r23095);
        double r23097 = R;
        double r23098 = r23096 * r23097;
        return r23098;
}

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 r23099, r23100, r23101, r23102, r23103, r23104, r23105, r23106, r23107, r23108, r23109, r23110, r23111, r23112, r23113, r23114, r23115;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23099);
        mpfr_init(r23100);
        mpfr_init(r23101);
        mpfr_init(r23102);
        mpfr_init(r23103);
        mpfr_init(r23104);
        mpfr_init(r23105);
        mpfr_init_set_str(r23106, "2", 10, MPFR_RNDN);
        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_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r23099, R, MPFR_RNDN);
        mpfr_set_d(r23100, lambda1, MPFR_RNDN);
        mpfr_set_d(r23101, lambda2, MPFR_RNDN);
        mpfr_sub(r23102, r23100, r23101, MPFR_RNDN);
        mpfr_set_d(r23103, phi1, MPFR_RNDN);
        mpfr_set_d(r23104, phi2, MPFR_RNDN);
        mpfr_add(r23105, r23103, r23104, MPFR_RNDN);
        ;
        mpfr_div(r23107, r23105, r23106, MPFR_RNDN);
        mpfr_cos(r23108, r23107, MPFR_RNDN);
        mpfr_mul(r23109, r23102, r23108, MPFR_RNDN);
        mpfr_mul(r23110, r23109, r23109, MPFR_RNDN);
        mpfr_sub(r23111, r23103, r23104, MPFR_RNDN);
        mpfr_mul(r23112, r23111, r23111, MPFR_RNDN);
        mpfr_add(r23113, r23110, r23112, MPFR_RNDN);
        mpfr_sqrt(r23114, r23113, MPFR_RNDN);
        mpfr_mul(r23115, r23099, r23114, MPFR_RNDN);
        return mpfr_get_d(r23115, MPFR_RNDN);
}

static mpfr_t r23116, r23117, r23118, r23119, r23120, r23121, r23122, r23123, r23124, r23125, r23126, r23127, r23128, r23129, r23130, r23131;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23116);
        mpfr_init(r23117);
        mpfr_init(r23118);
        mpfr_init_set_str(r23119, "2", 10, MPFR_RNDN);
        mpfr_init(r23120);
        mpfr_init(r23121);
        mpfr_init(r23122);
        mpfr_init(r23123);
        mpfr_init(r23124);
        mpfr_init(r23125);
        mpfr_init(r23126);
        mpfr_init(r23127);
        mpfr_init(r23128);
        mpfr_init(r23129);
        mpfr_init(r23130);
        mpfr_init(r23131);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r23116, phi1, MPFR_RNDN);
        mpfr_set_d(r23117, phi2, MPFR_RNDN);
        mpfr_add(r23118, r23116, r23117, MPFR_RNDN);
        ;
        mpfr_div(r23120, r23118, r23119, MPFR_RNDN);
        mpfr_cos(r23121, r23120, MPFR_RNDN);
        mpfr_expm1(r23122, r23121, MPFR_RNDN);
        mpfr_log1p(r23123, r23122, MPFR_RNDN);
        mpfr_set_d(r23124, lambda1, MPFR_RNDN);
        mpfr_set_d(r23125, lambda2, MPFR_RNDN);
        mpfr_sub(r23126, r23124, r23125, MPFR_RNDN);
        mpfr_mul(r23127, r23123, r23126, MPFR_RNDN);
        mpfr_sub(r23128, r23116, r23117, MPFR_RNDN);
        mpfr_hypot(r23129, r23127, r23128, MPFR_RNDN);
        mpfr_set_d(r23130, R, MPFR_RNDN);
        mpfr_mul(r23131, r23129, r23130, MPFR_RNDN);
        return mpfr_get_d(r23131, MPFR_RNDN);
}

static mpfr_t r23132, r23133, r23134, r23135, r23136, r23137, r23138, r23139, r23140, r23141, r23142, r23143, r23144, r23145, r23146, r23147;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23132);
        mpfr_init(r23133);
        mpfr_init(r23134);
        mpfr_init_set_str(r23135, "2", 10, MPFR_RNDN);
        mpfr_init(r23136);
        mpfr_init(r23137);
        mpfr_init(r23138);
        mpfr_init(r23139);
        mpfr_init(r23140);
        mpfr_init(r23141);
        mpfr_init(r23142);
        mpfr_init(r23143);
        mpfr_init(r23144);
        mpfr_init(r23145);
        mpfr_init(r23146);
        mpfr_init(r23147);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r23132, phi1, MPFR_RNDN);
        mpfr_set_d(r23133, phi2, MPFR_RNDN);
        mpfr_add(r23134, r23132, r23133, MPFR_RNDN);
        ;
        mpfr_div(r23136, r23134, r23135, MPFR_RNDN);
        mpfr_cos(r23137, r23136, MPFR_RNDN);
        mpfr_expm1(r23138, r23137, MPFR_RNDN);
        mpfr_log1p(r23139, r23138, MPFR_RNDN);
        mpfr_set_d(r23140, lambda1, MPFR_RNDN);
        mpfr_set_d(r23141, lambda2, MPFR_RNDN);
        mpfr_sub(r23142, r23140, r23141, MPFR_RNDN);
        mpfr_mul(r23143, r23139, r23142, MPFR_RNDN);
        mpfr_sub(r23144, r23132, r23133, MPFR_RNDN);
        mpfr_hypot(r23145, r23143, r23144, MPFR_RNDN);
        mpfr_set_d(r23146, R, MPFR_RNDN);
        mpfr_mul(r23147, r23145, r23146, MPFR_RNDN);
        return mpfr_get_d(r23147, MPFR_RNDN);
}