#include <tgmath.h>
#include <gmp.h>
#include <mpfr.h>
#include <stdio.h>
#include <stdbool.h>

char *name = "Distance on a great circle";

double f_if(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r22984 = R;
        float r22985 = 2;
        float r22986 = phi1;
        float r22987 = phi2;
        float r22988 = r22986 - r22987;
        float r22989 = r22988 / r22985;
        float r22990 = sin(r22989);
        float r22991 = pow(r22990, r22985);
        float r22992 = cos(r22986);
        float r22993 = cos(r22987);
        float r22994 = r22992 * r22993;
        float r22995 = lambda1;
        float r22996 = lambda2;
        float r22997 = r22995 - r22996;
        float r22998 = r22997 / r22985;
        float r22999 = sin(r22998);
        float r23000 = r22994 * r22999;
        float r23001 = r23000 * r22999;
        float r23002 = r22991 + r23001;
        float r23003 = sqrt(r23002);
        float r23004 = 1;
        float r23005 = r23004 - r23002;
        float r23006 = sqrt(r23005);
        float r23007 = atan2(r23003, r23006);
        float r23008 = r22985 * r23007;
        float r23009 = r22984 * r23008;
        return r23009;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r23010 = R;
        double r23011 = 2;
        double r23012 = phi1;
        double r23013 = phi2;
        double r23014 = r23012 - r23013;
        double r23015 = r23014 / r23011;
        double r23016 = sin(r23015);
        double r23017 = pow(r23016, r23011);
        double r23018 = cos(r23012);
        double r23019 = cos(r23013);
        double r23020 = r23018 * r23019;
        double r23021 = lambda1;
        double r23022 = lambda2;
        double r23023 = r23021 - r23022;
        double r23024 = r23023 / r23011;
        double r23025 = sin(r23024);
        double r23026 = r23020 * r23025;
        double r23027 = r23026 * r23025;
        double r23028 = r23017 + r23027;
        double r23029 = sqrt(r23028);
        double r23030 = 1;
        double r23031 = r23030 - r23028;
        double r23032 = sqrt(r23031);
        double r23033 = atan2(r23029, r23032);
        double r23034 = r23011 * r23033;
        double r23035 = r23010 * r23034;
        return r23035;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r23036 = R;
        float r23037 = 2;
        float r23038 = phi1;
        float r23039 = phi2;
        float r23040 = r23038 - r23039;
        float r23041 = r23040 / r23037;
        float r23042 = sin(r23041);
        float r23043 = pow(r23042, r23037);
        float r23044 = cos(r23038);
        float r23045 = cos(r23039);
        float r23046 = r23044 * r23045;
        float r23047 = lambda1;
        float r23048 = lambda2;
        float r23049 = r23047 - r23048;
        float r23050 = r23049 / r23037;
        float r23051 = sin(r23050);
        float r23052 = log1p(r23051);
        float r23053 = expm1(r23052);
        float r23054 = r23046 * r23053;
        float r23055 = r23054 * r23053;
        float r23056 = r23043 + r23055;
        float r23057 = sqrt(r23056);
        float r23058 = 1;
        float r23059 = r23046 * r23051;
        float r23060 = r23059 * r23051;
        float r23061 = r23043 + r23060;
        float r23062 = r23058 - r23061;
        float r23063 = sqrt(r23062);
        float r23064 = atan2(r23057, r23063);
        float r23065 = r23037 * r23064;
        float r23066 = r23036 * r23065;
        return r23066;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r23067 = R;
        double r23068 = 2;
        double r23069 = phi1;
        double r23070 = phi2;
        double r23071 = r23069 - r23070;
        double r23072 = r23071 / r23068;
        double r23073 = sin(r23072);
        double r23074 = pow(r23073, r23068);
        double r23075 = cos(r23069);
        double r23076 = cos(r23070);
        double r23077 = r23075 * r23076;
        double r23078 = lambda1;
        double r23079 = lambda2;
        double r23080 = r23078 - r23079;
        double r23081 = r23080 / r23068;
        double r23082 = sin(r23081);
        double r23083 = log1p(r23082);
        double r23084 = expm1(r23083);
        double r23085 = r23077 * r23084;
        double r23086 = r23085 * r23084;
        double r23087 = r23074 + r23086;
        double r23088 = sqrt(r23087);
        double r23089 = 1;
        double r23090 = r23077 * r23082;
        double r23091 = r23090 * r23082;
        double r23092 = r23074 + r23091;
        double r23093 = r23089 - r23092;
        double r23094 = sqrt(r23093);
        double r23095 = atan2(r23088, r23094);
        double r23096 = r23068 * r23095;
        double r23097 = r23067 * r23096;
        return r23097;
}

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 r23098, r23099, r23100, r23101, r23102, r23103, r23104, r23105, r23106, r23107, r23108, r23109, r23110, r23111, r23112, r23113, r23114, r23115, r23116, r23117, r23118, r23119, r23120, r23121, r23122, r23123;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init(r23098);
        mpfr_init_set_str(r23099, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r23109);
        mpfr_init(r23110);
        mpfr_init(r23111);
        mpfr_init(r23112);
        mpfr_init(r23113);
        mpfr_init(r23114);
        mpfr_init(r23115);
        mpfr_init(r23116);
        mpfr_init(r23117);
        mpfr_init_set_str(r23118, "1", 10, MPFR_RNDN);
        mpfr_init(r23119);
        mpfr_init(r23120);
        mpfr_init(r23121);
        mpfr_init(r23122);
        mpfr_init(r23123);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r23098, R, MPFR_RNDN);
        ;
        mpfr_set_d(r23100, phi1, MPFR_RNDN);
        mpfr_set_d(r23101, phi2, MPFR_RNDN);
        mpfr_sub(r23102, r23100, r23101, MPFR_RNDN);
        mpfr_div(r23103, r23102, r23099, MPFR_RNDN);
        mpfr_sin(r23104, r23103, MPFR_RNDN);
        mpfr_pow(r23105, r23104, r23099, MPFR_RNDN);
        mpfr_cos(r23106, r23100, MPFR_RNDN);
        mpfr_cos(r23107, r23101, MPFR_RNDN);
        mpfr_mul(r23108, r23106, r23107, MPFR_RNDN);
        mpfr_set_d(r23109, lambda1, MPFR_RNDN);
        mpfr_set_d(r23110, lambda2, MPFR_RNDN);
        mpfr_sub(r23111, r23109, r23110, MPFR_RNDN);
        mpfr_div(r23112, r23111, r23099, MPFR_RNDN);
        mpfr_sin(r23113, r23112, MPFR_RNDN);
        mpfr_mul(r23114, r23108, r23113, MPFR_RNDN);
        mpfr_mul(r23115, r23114, r23113, MPFR_RNDN);
        mpfr_add(r23116, r23105, r23115, MPFR_RNDN);
        mpfr_sqrt(r23117, r23116, MPFR_RNDN);
        ;
        mpfr_sub(r23119, r23118, r23116, MPFR_RNDN);
        mpfr_sqrt(r23120, r23119, MPFR_RNDN);
        mpfr_atan2(r23121, r23117, r23120, MPFR_RNDN);
        mpfr_mul(r23122, r23099, r23121, MPFR_RNDN);
        mpfr_mul(r23123, r23098, r23122, MPFR_RNDN);
        return mpfr_get_d(r23123, MPFR_RNDN);
}

static mpfr_t r23124, r23125, r23126, r23127, r23128, r23129, r23130, r23131, r23132, r23133, r23134, r23135, r23136, r23137, r23138, r23139, r23140, r23141, r23142, r23143, r23144, r23145, r23146, r23147, r23148, r23149, r23150, r23151, r23152, r23153, r23154;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r23124);
        mpfr_init_set_str(r23125, "2", 10, MPFR_RNDN);
        mpfr_init(r23126);
        mpfr_init(r23127);
        mpfr_init(r23128);
        mpfr_init(r23129);
        mpfr_init(r23130);
        mpfr_init(r23131);
        mpfr_init(r23132);
        mpfr_init(r23133);
        mpfr_init(r23134);
        mpfr_init(r23135);
        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_set_str(r23146, "1", 10, MPFR_RNDN);
        mpfr_init(r23147);
        mpfr_init(r23148);
        mpfr_init(r23149);
        mpfr_init(r23150);
        mpfr_init(r23151);
        mpfr_init(r23152);
        mpfr_init(r23153);
        mpfr_init(r23154);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r23124, R, MPFR_RNDN);
        ;
        mpfr_set_d(r23126, phi1, MPFR_RNDN);
        mpfr_set_d(r23127, phi2, MPFR_RNDN);
        mpfr_sub(r23128, r23126, r23127, MPFR_RNDN);
        mpfr_div(r23129, r23128, r23125, MPFR_RNDN);
        mpfr_sin(r23130, r23129, MPFR_RNDN);
        mpfr_pow(r23131, r23130, r23125, MPFR_RNDN);
        mpfr_cos(r23132, r23126, MPFR_RNDN);
        mpfr_cos(r23133, r23127, MPFR_RNDN);
        mpfr_mul(r23134, r23132, r23133, MPFR_RNDN);
        mpfr_set_d(r23135, lambda1, MPFR_RNDN);
        mpfr_set_d(r23136, lambda2, MPFR_RNDN);
        mpfr_sub(r23137, r23135, r23136, MPFR_RNDN);
        mpfr_div(r23138, r23137, r23125, MPFR_RNDN);
        mpfr_sin(r23139, r23138, MPFR_RNDN);
        mpfr_log1p(r23140, r23139, MPFR_RNDN);
        mpfr_expm1(r23141, r23140, MPFR_RNDN);
        mpfr_mul(r23142, r23134, r23141, MPFR_RNDN);
        mpfr_mul(r23143, r23142, r23141, MPFR_RNDN);
        mpfr_add(r23144, r23131, r23143, MPFR_RNDN);
        mpfr_sqrt(r23145, r23144, MPFR_RNDN);
        ;
        mpfr_mul(r23147, r23134, r23139, MPFR_RNDN);
        mpfr_mul(r23148, r23147, r23139, MPFR_RNDN);
        mpfr_add(r23149, r23131, r23148, MPFR_RNDN);
        mpfr_sub(r23150, r23146, r23149, MPFR_RNDN);
        mpfr_sqrt(r23151, r23150, MPFR_RNDN);
        mpfr_atan2(r23152, r23145, r23151, MPFR_RNDN);
        mpfr_mul(r23153, r23125, r23152, MPFR_RNDN);
        mpfr_mul(r23154, r23124, r23153, MPFR_RNDN);
        return mpfr_get_d(r23154, MPFR_RNDN);
}

static mpfr_t r23155, r23156, r23157, r23158, r23159, r23160, r23161, r23162, r23163, r23164, r23165, r23166, r23167, r23168, r23169, r23170, r23171, r23172, r23173, r23174, r23175, r23176, r23177, r23178, r23179, r23180, r23181, r23182, r23183, r23184, r23185;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r23155);
        mpfr_init_set_str(r23156, "2", 10, MPFR_RNDN);
        mpfr_init(r23157);
        mpfr_init(r23158);
        mpfr_init(r23159);
        mpfr_init(r23160);
        mpfr_init(r23161);
        mpfr_init(r23162);
        mpfr_init(r23163);
        mpfr_init(r23164);
        mpfr_init(r23165);
        mpfr_init(r23166);
        mpfr_init(r23167);
        mpfr_init(r23168);
        mpfr_init(r23169);
        mpfr_init(r23170);
        mpfr_init(r23171);
        mpfr_init(r23172);
        mpfr_init(r23173);
        mpfr_init(r23174);
        mpfr_init(r23175);
        mpfr_init(r23176);
        mpfr_init_set_str(r23177, "1", 10, MPFR_RNDN);
        mpfr_init(r23178);
        mpfr_init(r23179);
        mpfr_init(r23180);
        mpfr_init(r23181);
        mpfr_init(r23182);
        mpfr_init(r23183);
        mpfr_init(r23184);
        mpfr_init(r23185);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r23155, R, MPFR_RNDN);
        ;
        mpfr_set_d(r23157, phi1, MPFR_RNDN);
        mpfr_set_d(r23158, phi2, MPFR_RNDN);
        mpfr_sub(r23159, r23157, r23158, MPFR_RNDN);
        mpfr_div(r23160, r23159, r23156, MPFR_RNDN);
        mpfr_sin(r23161, r23160, MPFR_RNDN);
        mpfr_pow(r23162, r23161, r23156, MPFR_RNDN);
        mpfr_cos(r23163, r23157, MPFR_RNDN);
        mpfr_cos(r23164, r23158, MPFR_RNDN);
        mpfr_mul(r23165, r23163, r23164, MPFR_RNDN);
        mpfr_set_d(r23166, lambda1, MPFR_RNDN);
        mpfr_set_d(r23167, lambda2, MPFR_RNDN);
        mpfr_sub(r23168, r23166, r23167, MPFR_RNDN);
        mpfr_div(r23169, r23168, r23156, MPFR_RNDN);
        mpfr_sin(r23170, r23169, MPFR_RNDN);
        mpfr_log1p(r23171, r23170, MPFR_RNDN);
        mpfr_expm1(r23172, r23171, MPFR_RNDN);
        mpfr_mul(r23173, r23165, r23172, MPFR_RNDN);
        mpfr_mul(r23174, r23173, r23172, MPFR_RNDN);
        mpfr_add(r23175, r23162, r23174, MPFR_RNDN);
        mpfr_sqrt(r23176, r23175, MPFR_RNDN);
        ;
        mpfr_mul(r23178, r23165, r23170, MPFR_RNDN);
        mpfr_mul(r23179, r23178, r23170, MPFR_RNDN);
        mpfr_add(r23180, r23162, r23179, MPFR_RNDN);
        mpfr_sub(r23181, r23177, r23180, MPFR_RNDN);
        mpfr_sqrt(r23182, r23181, MPFR_RNDN);
        mpfr_atan2(r23183, r23176, r23182, MPFR_RNDN);
        mpfr_mul(r23184, r23156, r23183, MPFR_RNDN);
        mpfr_mul(r23185, r23155, r23184, MPFR_RNDN);
        return mpfr_get_d(r23185, MPFR_RNDN);
}