#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 r22965 = R;
        float r22966 = 2;
        float r22967 = phi1;
        float r22968 = phi2;
        float r22969 = r22967 - r22968;
        float r22970 = r22969 / r22966;
        float r22971 = sin(r22970);
        float r22972 = pow(r22971, r22966);
        float r22973 = cos(r22967);
        float r22974 = cos(r22968);
        float r22975 = r22973 * r22974;
        float r22976 = lambda1;
        float r22977 = lambda2;
        float r22978 = r22976 - r22977;
        float r22979 = r22978 / r22966;
        float r22980 = sin(r22979);
        float r22981 = r22975 * r22980;
        float r22982 = r22981 * r22980;
        float r22983 = r22972 + r22982;
        float r22984 = sqrt(r22983);
        float r22985 = 1;
        float r22986 = r22985 - r22983;
        float r22987 = sqrt(r22986);
        float r22988 = atan2(r22984, r22987);
        float r22989 = r22966 * r22988;
        float r22990 = r22965 * r22989;
        return r22990;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r22991 = R;
        double r22992 = 2;
        double r22993 = phi1;
        double r22994 = phi2;
        double r22995 = r22993 - r22994;
        double r22996 = r22995 / r22992;
        double r22997 = sin(r22996);
        double r22998 = pow(r22997, r22992);
        double r22999 = cos(r22993);
        double r23000 = cos(r22994);
        double r23001 = r22999 * r23000;
        double r23002 = lambda1;
        double r23003 = lambda2;
        double r23004 = r23002 - r23003;
        double r23005 = r23004 / r22992;
        double r23006 = sin(r23005);
        double r23007 = r23001 * r23006;
        double r23008 = r23007 * r23006;
        double r23009 = r22998 + r23008;
        double r23010 = sqrt(r23009);
        double r23011 = 1;
        double r23012 = r23011 - r23009;
        double r23013 = sqrt(r23012);
        double r23014 = atan2(r23010, r23013);
        double r23015 = r22992 * r23014;
        double r23016 = r22991 * r23015;
        return r23016;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r23017 = R;
        float r23018 = 2;
        float r23019 = phi1;
        float r23020 = r23019 / r23018;
        float r23021 = sin(r23020);
        float r23022 = phi2;
        float r23023 = r23022 / r23018;
        float r23024 = cos(r23023);
        float r23025 = r23021 * r23024;
        float r23026 = cos(r23020);
        float r23027 = sin(r23023);
        float r23028 = r23026 * r23027;
        float r23029 = r23025 - r23028;
        float r23030 = pow(r23029, r23018);
        float r23031 = cos(r23019);
        float r23032 = cos(r23022);
        float r23033 = r23031 * r23032;
        float r23034 = lambda1;
        float r23035 = lambda2;
        float r23036 = r23034 - r23035;
        float r23037 = r23036 / r23018;
        float r23038 = sin(r23037);
        float r23039 = r23033 * r23038;
        float r23040 = expm1(r23038);
        float r23041 = log1p(r23040);
        float r23042 = r23039 * r23041;
        float r23043 = r23030 + r23042;
        float r23044 = sqrt(r23043);
        float r23045 = 1;
        float r23046 = r23039 * r23038;
        float r23047 = r23030 + r23046;
        float r23048 = r23045 - r23047;
        float r23049 = sqrt(r23048);
        float r23050 = atan2(r23044, r23049);
        float r23051 = r23018 * r23050;
        float r23052 = r23017 * r23051;
        return r23052;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r23053 = R;
        double r23054 = 2;
        double r23055 = phi1;
        double r23056 = r23055 / r23054;
        double r23057 = sin(r23056);
        double r23058 = phi2;
        double r23059 = r23058 / r23054;
        double r23060 = cos(r23059);
        double r23061 = r23057 * r23060;
        double r23062 = cos(r23056);
        double r23063 = sin(r23059);
        double r23064 = r23062 * r23063;
        double r23065 = r23061 - r23064;
        double r23066 = pow(r23065, r23054);
        double r23067 = cos(r23055);
        double r23068 = cos(r23058);
        double r23069 = r23067 * r23068;
        double r23070 = lambda1;
        double r23071 = lambda2;
        double r23072 = r23070 - r23071;
        double r23073 = r23072 / r23054;
        double r23074 = sin(r23073);
        double r23075 = r23069 * r23074;
        double r23076 = expm1(r23074);
        double r23077 = log1p(r23076);
        double r23078 = r23075 * r23077;
        double r23079 = r23066 + r23078;
        double r23080 = sqrt(r23079);
        double r23081 = 1;
        double r23082 = r23075 * r23074;
        double r23083 = r23066 + r23082;
        double r23084 = r23081 - r23083;
        double r23085 = sqrt(r23084);
        double r23086 = atan2(r23080, r23085);
        double r23087 = r23054 * r23086;
        double r23088 = r23053 * r23087;
        return r23088;
}

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 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;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init(r23089);
        mpfr_init_set_str(r23090, "2", 10, MPFR_RNDN);
        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_set_str(r23109, "1", 10, MPFR_RNDN);
        mpfr_init(r23110);
        mpfr_init(r23111);
        mpfr_init(r23112);
        mpfr_init(r23113);
        mpfr_init(r23114);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r23089, R, MPFR_RNDN);
        ;
        mpfr_set_d(r23091, phi1, MPFR_RNDN);
        mpfr_set_d(r23092, phi2, MPFR_RNDN);
        mpfr_sub(r23093, r23091, r23092, MPFR_RNDN);
        mpfr_div(r23094, r23093, r23090, MPFR_RNDN);
        mpfr_sin(r23095, r23094, MPFR_RNDN);
        mpfr_pow(r23096, r23095, r23090, MPFR_RNDN);
        mpfr_cos(r23097, r23091, MPFR_RNDN);
        mpfr_cos(r23098, r23092, MPFR_RNDN);
        mpfr_mul(r23099, r23097, r23098, MPFR_RNDN);
        mpfr_set_d(r23100, lambda1, MPFR_RNDN);
        mpfr_set_d(r23101, lambda2, MPFR_RNDN);
        mpfr_sub(r23102, r23100, r23101, MPFR_RNDN);
        mpfr_div(r23103, r23102, r23090, MPFR_RNDN);
        mpfr_sin(r23104, r23103, MPFR_RNDN);
        mpfr_mul(r23105, r23099, r23104, MPFR_RNDN);
        mpfr_mul(r23106, r23105, r23104, MPFR_RNDN);
        mpfr_add(r23107, r23096, r23106, MPFR_RNDN);
        mpfr_sqrt(r23108, r23107, MPFR_RNDN);
        ;
        mpfr_sub(r23110, r23109, r23107, MPFR_RNDN);
        mpfr_sqrt(r23111, r23110, MPFR_RNDN);
        mpfr_atan2(r23112, r23108, r23111, MPFR_RNDN);
        mpfr_mul(r23113, r23090, r23112, MPFR_RNDN);
        mpfr_mul(r23114, r23089, r23113, MPFR_RNDN);
        return mpfr_get_d(r23114, MPFR_RNDN);
}

static mpfr_t r23115, r23116, r23117, r23118, r23119, r23120, r23121, r23122, 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;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r23115);
        mpfr_init_set_str(r23116, "2", 10, MPFR_RNDN);
        mpfr_init(r23117);
        mpfr_init(r23118);
        mpfr_init(r23119);
        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);
        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_set_str(r23143, "1", 10, MPFR_RNDN);
        mpfr_init(r23144);
        mpfr_init(r23145);
        mpfr_init(r23146);
        mpfr_init(r23147);
        mpfr_init(r23148);
        mpfr_init(r23149);
        mpfr_init(r23150);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r23115, R, MPFR_RNDN);
        ;
        mpfr_set_d(r23117, phi1, MPFR_RNDN);
        mpfr_div(r23118, r23117, r23116, MPFR_RNDN);
        mpfr_sin(r23119, r23118, MPFR_RNDN);
        mpfr_set_d(r23120, phi2, MPFR_RNDN);
        mpfr_div(r23121, r23120, r23116, MPFR_RNDN);
        mpfr_cos(r23122, r23121, MPFR_RNDN);
        mpfr_mul(r23123, r23119, r23122, MPFR_RNDN);
        mpfr_cos(r23124, r23118, MPFR_RNDN);
        mpfr_sin(r23125, r23121, MPFR_RNDN);
        mpfr_mul(r23126, r23124, r23125, MPFR_RNDN);
        mpfr_sub(r23127, r23123, r23126, MPFR_RNDN);
        mpfr_pow(r23128, r23127, r23116, MPFR_RNDN);
        mpfr_cos(r23129, r23117, MPFR_RNDN);
        mpfr_cos(r23130, r23120, MPFR_RNDN);
        mpfr_mul(r23131, r23129, r23130, MPFR_RNDN);
        mpfr_set_d(r23132, lambda1, MPFR_RNDN);
        mpfr_set_d(r23133, lambda2, MPFR_RNDN);
        mpfr_sub(r23134, r23132, r23133, MPFR_RNDN);
        mpfr_div(r23135, r23134, r23116, MPFR_RNDN);
        mpfr_sin(r23136, r23135, MPFR_RNDN);
        mpfr_mul(r23137, r23131, r23136, MPFR_RNDN);
        mpfr_expm1(r23138, r23136, MPFR_RNDN);
        mpfr_log1p(r23139, r23138, MPFR_RNDN);
        mpfr_mul(r23140, r23137, r23139, MPFR_RNDN);
        mpfr_add(r23141, r23128, r23140, MPFR_RNDN);
        mpfr_sqrt(r23142, r23141, MPFR_RNDN);
        ;
        mpfr_mul(r23144, r23137, r23136, MPFR_RNDN);
        mpfr_add(r23145, r23128, r23144, MPFR_RNDN);
        mpfr_sub(r23146, r23143, r23145, MPFR_RNDN);
        mpfr_sqrt(r23147, r23146, MPFR_RNDN);
        mpfr_atan2(r23148, r23142, r23147, MPFR_RNDN);
        mpfr_mul(r23149, r23116, r23148, MPFR_RNDN);
        mpfr_mul(r23150, r23115, r23149, MPFR_RNDN);
        return mpfr_get_d(r23150, MPFR_RNDN);
}

static mpfr_t r23151, r23152, r23153, r23154, 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, r23186;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r23151);
        mpfr_init_set_str(r23152, "2", 10, MPFR_RNDN);
        mpfr_init(r23153);
        mpfr_init(r23154);
        mpfr_init(r23155);
        mpfr_init(r23156);
        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(r23177);
        mpfr_init(r23178);
        mpfr_init_set_str(r23179, "1", 10, MPFR_RNDN);
        mpfr_init(r23180);
        mpfr_init(r23181);
        mpfr_init(r23182);
        mpfr_init(r23183);
        mpfr_init(r23184);
        mpfr_init(r23185);
        mpfr_init(r23186);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r23151, R, MPFR_RNDN);
        ;
        mpfr_set_d(r23153, phi1, MPFR_RNDN);
        mpfr_div(r23154, r23153, r23152, MPFR_RNDN);
        mpfr_sin(r23155, r23154, MPFR_RNDN);
        mpfr_set_d(r23156, phi2, MPFR_RNDN);
        mpfr_div(r23157, r23156, r23152, MPFR_RNDN);
        mpfr_cos(r23158, r23157, MPFR_RNDN);
        mpfr_mul(r23159, r23155, r23158, MPFR_RNDN);
        mpfr_cos(r23160, r23154, MPFR_RNDN);
        mpfr_sin(r23161, r23157, MPFR_RNDN);
        mpfr_mul(r23162, r23160, r23161, MPFR_RNDN);
        mpfr_sub(r23163, r23159, r23162, MPFR_RNDN);
        mpfr_pow(r23164, r23163, r23152, MPFR_RNDN);
        mpfr_cos(r23165, r23153, MPFR_RNDN);
        mpfr_cos(r23166, r23156, MPFR_RNDN);
        mpfr_mul(r23167, r23165, r23166, MPFR_RNDN);
        mpfr_set_d(r23168, lambda1, MPFR_RNDN);
        mpfr_set_d(r23169, lambda2, MPFR_RNDN);
        mpfr_sub(r23170, r23168, r23169, MPFR_RNDN);
        mpfr_div(r23171, r23170, r23152, MPFR_RNDN);
        mpfr_sin(r23172, r23171, MPFR_RNDN);
        mpfr_mul(r23173, r23167, r23172, MPFR_RNDN);
        mpfr_expm1(r23174, r23172, MPFR_RNDN);
        mpfr_log1p(r23175, r23174, MPFR_RNDN);
        mpfr_mul(r23176, r23173, r23175, MPFR_RNDN);
        mpfr_add(r23177, r23164, r23176, MPFR_RNDN);
        mpfr_sqrt(r23178, r23177, MPFR_RNDN);
        ;
        mpfr_mul(r23180, r23173, r23172, MPFR_RNDN);
        mpfr_add(r23181, r23164, r23180, MPFR_RNDN);
        mpfr_sub(r23182, r23179, r23181, MPFR_RNDN);
        mpfr_sqrt(r23183, r23182, MPFR_RNDN);
        mpfr_atan2(r23184, r23178, r23183, MPFR_RNDN);
        mpfr_mul(r23185, r23152, r23184, MPFR_RNDN);
        mpfr_mul(r23186, r23151, r23185, MPFR_RNDN);
        return mpfr_get_d(r23186, MPFR_RNDN);
}