#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 r22937 = R;
        float r22938 = 2;
        float r22939 = phi1;
        float r22940 = phi2;
        float r22941 = r22939 - r22940;
        float r22942 = r22941 / r22938;
        float r22943 = sin(r22942);
        float r22944 = pow(r22943, r22938);
        float r22945 = cos(r22939);
        float r22946 = cos(r22940);
        float r22947 = r22945 * r22946;
        float r22948 = lambda1;
        float r22949 = lambda2;
        float r22950 = r22948 - r22949;
        float r22951 = r22950 / r22938;
        float r22952 = sin(r22951);
        float r22953 = r22947 * r22952;
        float r22954 = r22953 * r22952;
        float r22955 = r22944 + r22954;
        float r22956 = sqrt(r22955);
        float r22957 = 1;
        float r22958 = r22957 - r22955;
        float r22959 = sqrt(r22958);
        float r22960 = atan2(r22956, r22959);
        float r22961 = r22938 * r22960;
        float r22962 = r22937 * r22961;
        return r22962;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r22963 = R;
        double r22964 = 2;
        double r22965 = phi1;
        double r22966 = phi2;
        double r22967 = r22965 - r22966;
        double r22968 = r22967 / r22964;
        double r22969 = sin(r22968);
        double r22970 = pow(r22969, r22964);
        double r22971 = cos(r22965);
        double r22972 = cos(r22966);
        double r22973 = r22971 * r22972;
        double r22974 = lambda1;
        double r22975 = lambda2;
        double r22976 = r22974 - r22975;
        double r22977 = r22976 / r22964;
        double r22978 = sin(r22977);
        double r22979 = r22973 * r22978;
        double r22980 = r22979 * r22978;
        double r22981 = r22970 + r22980;
        double r22982 = sqrt(r22981);
        double r22983 = 1;
        double r22984 = r22983 - r22981;
        double r22985 = sqrt(r22984);
        double r22986 = atan2(r22982, r22985);
        double r22987 = r22964 * r22986;
        double r22988 = r22963 * r22987;
        return r22988;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r22989 = R;
        float r22990 = 2;
        float r22991 = phi1;
        float r22992 = r22991 / r22990;
        float r22993 = sin(r22992);
        float r22994 = phi2;
        float r22995 = r22994 / r22990;
        float r22996 = cos(r22995);
        float r22997 = r22993 * r22996;
        float r22998 = cos(r22992);
        float r22999 = sin(r22995);
        float r23000 = r22998 * r22999;
        float r23001 = r22997 - r23000;
        float r23002 = pow(r23001, r22990);
        float r23003 = cos(r22991);
        float r23004 = cos(r22994);
        float r23005 = r23003 * r23004;
        float r23006 = lambda1;
        float r23007 = lambda2;
        float r23008 = r23006 - r23007;
        float r23009 = r23008 / r22990;
        float r23010 = sin(r23009);
        float r23011 = r23005 * r23010;
        float r23012 = r23011 * r23010;
        float r23013 = r23002 + r23012;
        float r23014 = sqrt(r23013);
        float r23015 = 1;
        float r23016 = expm1(r23010);
        float r23017 = log1p(r23016);
        float r23018 = r23011 * r23017;
        float r23019 = r23002 + r23018;
        float r23020 = r23015 - r23019;
        float r23021 = sqrt(r23020);
        float r23022 = atan2(r23014, r23021);
        float r23023 = r22990 * r23022;
        float r23024 = r22989 * r23023;
        return r23024;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r23025 = R;
        double r23026 = 2;
        double r23027 = phi1;
        double r23028 = r23027 / r23026;
        double r23029 = sin(r23028);
        double r23030 = phi2;
        double r23031 = r23030 / r23026;
        double r23032 = cos(r23031);
        double r23033 = r23029 * r23032;
        double r23034 = cos(r23028);
        double r23035 = sin(r23031);
        double r23036 = r23034 * r23035;
        double r23037 = r23033 - r23036;
        double r23038 = pow(r23037, r23026);
        double r23039 = cos(r23027);
        double r23040 = cos(r23030);
        double r23041 = r23039 * r23040;
        double r23042 = lambda1;
        double r23043 = lambda2;
        double r23044 = r23042 - r23043;
        double r23045 = r23044 / r23026;
        double r23046 = sin(r23045);
        double r23047 = r23041 * r23046;
        double r23048 = r23047 * r23046;
        double r23049 = r23038 + r23048;
        double r23050 = sqrt(r23049);
        double r23051 = 1;
        double r23052 = expm1(r23046);
        double r23053 = log1p(r23052);
        double r23054 = r23047 * r23053;
        double r23055 = r23038 + r23054;
        double r23056 = r23051 - r23055;
        double r23057 = sqrt(r23056);
        double r23058 = atan2(r23050, r23057);
        double r23059 = r23026 * r23058;
        double r23060 = r23025 * r23059;
        return r23060;
}

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 r23061, r23062, r23063, r23064, r23065, r23066, r23067, r23068, r23069, r23070, r23071, r23072, r23073, r23074, r23075, r23076, r23077, r23078, r23079, r23080, r23081, r23082, r23083, r23084, r23085, r23086;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init(r23061);
        mpfr_init_set_str(r23062, "2", 10, MPFR_RNDN);
        mpfr_init(r23063);
        mpfr_init(r23064);
        mpfr_init(r23065);
        mpfr_init(r23066);
        mpfr_init(r23067);
        mpfr_init(r23068);
        mpfr_init(r23069);
        mpfr_init(r23070);
        mpfr_init(r23071);
        mpfr_init(r23072);
        mpfr_init(r23073);
        mpfr_init(r23074);
        mpfr_init(r23075);
        mpfr_init(r23076);
        mpfr_init(r23077);
        mpfr_init(r23078);
        mpfr_init(r23079);
        mpfr_init(r23080);
        mpfr_init_set_str(r23081, "1", 10, MPFR_RNDN);
        mpfr_init(r23082);
        mpfr_init(r23083);
        mpfr_init(r23084);
        mpfr_init(r23085);
        mpfr_init(r23086);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r23061, R, MPFR_RNDN);
        ;
        mpfr_set_d(r23063, phi1, MPFR_RNDN);
        mpfr_set_d(r23064, phi2, MPFR_RNDN);
        mpfr_sub(r23065, r23063, r23064, MPFR_RNDN);
        mpfr_div(r23066, r23065, r23062, MPFR_RNDN);
        mpfr_sin(r23067, r23066, MPFR_RNDN);
        mpfr_pow(r23068, r23067, r23062, MPFR_RNDN);
        mpfr_cos(r23069, r23063, MPFR_RNDN);
        mpfr_cos(r23070, r23064, MPFR_RNDN);
        mpfr_mul(r23071, r23069, r23070, MPFR_RNDN);
        mpfr_set_d(r23072, lambda1, MPFR_RNDN);
        mpfr_set_d(r23073, lambda2, MPFR_RNDN);
        mpfr_sub(r23074, r23072, r23073, MPFR_RNDN);
        mpfr_div(r23075, r23074, r23062, MPFR_RNDN);
        mpfr_sin(r23076, r23075, MPFR_RNDN);
        mpfr_mul(r23077, r23071, r23076, MPFR_RNDN);
        mpfr_mul(r23078, r23077, r23076, MPFR_RNDN);
        mpfr_add(r23079, r23068, r23078, MPFR_RNDN);
        mpfr_sqrt(r23080, r23079, MPFR_RNDN);
        ;
        mpfr_sub(r23082, r23081, r23079, MPFR_RNDN);
        mpfr_sqrt(r23083, r23082, MPFR_RNDN);
        mpfr_atan2(r23084, r23080, r23083, MPFR_RNDN);
        mpfr_mul(r23085, r23062, r23084, MPFR_RNDN);
        mpfr_mul(r23086, r23061, r23085, MPFR_RNDN);
        return mpfr_get_d(r23086, MPFR_RNDN);
}

static mpfr_t r23087, r23088, r23089, r23090, r23091, r23092, r23093, r23094, r23095, r23096, r23097, 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;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r23087);
        mpfr_init_set_str(r23088, "2", 10, MPFR_RNDN);
        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);
        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_set_str(r23113, "1", 10, MPFR_RNDN);
        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);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r23087, R, MPFR_RNDN);
        ;
        mpfr_set_d(r23089, phi1, MPFR_RNDN);
        mpfr_div(r23090, r23089, r23088, MPFR_RNDN);
        mpfr_sin(r23091, r23090, MPFR_RNDN);
        mpfr_set_d(r23092, phi2, MPFR_RNDN);
        mpfr_div(r23093, r23092, r23088, MPFR_RNDN);
        mpfr_cos(r23094, r23093, MPFR_RNDN);
        mpfr_mul(r23095, r23091, r23094, MPFR_RNDN);
        mpfr_cos(r23096, r23090, MPFR_RNDN);
        mpfr_sin(r23097, r23093, MPFR_RNDN);
        mpfr_mul(r23098, r23096, r23097, MPFR_RNDN);
        mpfr_sub(r23099, r23095, r23098, MPFR_RNDN);
        mpfr_pow(r23100, r23099, r23088, MPFR_RNDN);
        mpfr_cos(r23101, r23089, MPFR_RNDN);
        mpfr_cos(r23102, r23092, MPFR_RNDN);
        mpfr_mul(r23103, r23101, r23102, MPFR_RNDN);
        mpfr_set_d(r23104, lambda1, MPFR_RNDN);
        mpfr_set_d(r23105, lambda2, MPFR_RNDN);
        mpfr_sub(r23106, r23104, r23105, MPFR_RNDN);
        mpfr_div(r23107, r23106, r23088, MPFR_RNDN);
        mpfr_sin(r23108, r23107, MPFR_RNDN);
        mpfr_mul(r23109, r23103, r23108, MPFR_RNDN);
        mpfr_mul(r23110, r23109, r23108, MPFR_RNDN);
        mpfr_add(r23111, r23100, r23110, MPFR_RNDN);
        mpfr_sqrt(r23112, r23111, MPFR_RNDN);
        ;
        mpfr_expm1(r23114, r23108, MPFR_RNDN);
        mpfr_log1p(r23115, r23114, MPFR_RNDN);
        mpfr_mul(r23116, r23109, r23115, MPFR_RNDN);
        mpfr_add(r23117, r23100, r23116, MPFR_RNDN);
        mpfr_sub(r23118, r23113, r23117, MPFR_RNDN);
        mpfr_sqrt(r23119, r23118, MPFR_RNDN);
        mpfr_atan2(r23120, r23112, r23119, MPFR_RNDN);
        mpfr_mul(r23121, r23088, r23120, MPFR_RNDN);
        mpfr_mul(r23122, r23087, r23121, MPFR_RNDN);
        return mpfr_get_d(r23122, MPFR_RNDN);
}

static mpfr_t r23123, 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, r23155, r23156, r23157, r23158;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r23123);
        mpfr_init_set_str(r23124, "2", 10, MPFR_RNDN);
        mpfr_init(r23125);
        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(r23146);
        mpfr_init(r23147);
        mpfr_init(r23148);
        mpfr_init_set_str(r23149, "1", 10, MPFR_RNDN);
        mpfr_init(r23150);
        mpfr_init(r23151);
        mpfr_init(r23152);
        mpfr_init(r23153);
        mpfr_init(r23154);
        mpfr_init(r23155);
        mpfr_init(r23156);
        mpfr_init(r23157);
        mpfr_init(r23158);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r23123, R, MPFR_RNDN);
        ;
        mpfr_set_d(r23125, phi1, MPFR_RNDN);
        mpfr_div(r23126, r23125, r23124, MPFR_RNDN);
        mpfr_sin(r23127, r23126, MPFR_RNDN);
        mpfr_set_d(r23128, phi2, MPFR_RNDN);
        mpfr_div(r23129, r23128, r23124, MPFR_RNDN);
        mpfr_cos(r23130, r23129, MPFR_RNDN);
        mpfr_mul(r23131, r23127, r23130, MPFR_RNDN);
        mpfr_cos(r23132, r23126, MPFR_RNDN);
        mpfr_sin(r23133, r23129, MPFR_RNDN);
        mpfr_mul(r23134, r23132, r23133, MPFR_RNDN);
        mpfr_sub(r23135, r23131, r23134, MPFR_RNDN);
        mpfr_pow(r23136, r23135, r23124, MPFR_RNDN);
        mpfr_cos(r23137, r23125, MPFR_RNDN);
        mpfr_cos(r23138, r23128, MPFR_RNDN);
        mpfr_mul(r23139, r23137, 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_div(r23143, r23142, r23124, MPFR_RNDN);
        mpfr_sin(r23144, r23143, MPFR_RNDN);
        mpfr_mul(r23145, r23139, r23144, MPFR_RNDN);
        mpfr_mul(r23146, r23145, r23144, MPFR_RNDN);
        mpfr_add(r23147, r23136, r23146, MPFR_RNDN);
        mpfr_sqrt(r23148, r23147, MPFR_RNDN);
        ;
        mpfr_expm1(r23150, r23144, MPFR_RNDN);
        mpfr_log1p(r23151, r23150, MPFR_RNDN);
        mpfr_mul(r23152, r23145, r23151, MPFR_RNDN);
        mpfr_add(r23153, r23136, r23152, MPFR_RNDN);
        mpfr_sub(r23154, r23149, r23153, MPFR_RNDN);
        mpfr_sqrt(r23155, r23154, MPFR_RNDN);
        mpfr_atan2(r23156, r23148, r23155, MPFR_RNDN);
        mpfr_mul(r23157, r23124, r23156, MPFR_RNDN);
        mpfr_mul(r23158, r23123, r23157, MPFR_RNDN);
        return mpfr_get_d(r23158, MPFR_RNDN);
}

