#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 r22948 = R;
        float r22949 = 2;
        float r22950 = phi1;
        float r22951 = phi2;
        float r22952 = r22950 - r22951;
        float r22953 = r22952 / r22949;
        float r22954 = sin(r22953);
        float r22955 = pow(r22954, r22949);
        float r22956 = cos(r22950);
        float r22957 = cos(r22951);
        float r22958 = r22956 * r22957;
        float r22959 = lambda1;
        float r22960 = lambda2;
        float r22961 = r22959 - r22960;
        float r22962 = r22961 / r22949;
        float r22963 = sin(r22962);
        float r22964 = r22958 * r22963;
        float r22965 = r22964 * r22963;
        float r22966 = r22955 + r22965;
        float r22967 = sqrt(r22966);
        float r22968 = 1;
        float r22969 = r22968 - r22966;
        float r22970 = sqrt(r22969);
        float r22971 = atan2(r22967, r22970);
        float r22972 = r22949 * r22971;
        float r22973 = r22948 * r22972;
        return r22973;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r22974 = R;
        double r22975 = 2;
        double r22976 = phi1;
        double r22977 = phi2;
        double r22978 = r22976 - r22977;
        double r22979 = r22978 / r22975;
        double r22980 = sin(r22979);
        double r22981 = pow(r22980, r22975);
        double r22982 = cos(r22976);
        double r22983 = cos(r22977);
        double r22984 = r22982 * r22983;
        double r22985 = lambda1;
        double r22986 = lambda2;
        double r22987 = r22985 - r22986;
        double r22988 = r22987 / r22975;
        double r22989 = sin(r22988);
        double r22990 = r22984 * r22989;
        double r22991 = r22990 * r22989;
        double r22992 = r22981 + r22991;
        double r22993 = sqrt(r22992);
        double r22994 = 1;
        double r22995 = r22994 - r22992;
        double r22996 = sqrt(r22995);
        double r22997 = atan2(r22993, r22996);
        double r22998 = r22975 * r22997;
        double r22999 = r22974 * r22998;
        return r22999;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r23000 = R;
        float r23001 = 2;
        float r23002 = phi1;
        float r23003 = r23002 / r23001;
        float r23004 = sin(r23003);
        float r23005 = phi2;
        float r23006 = r23005 / r23001;
        float r23007 = cos(r23006);
        float r23008 = r23004 * r23007;
        float r23009 = cos(r23003);
        float r23010 = sin(r23006);
        float r23011 = r23009 * r23010;
        float r23012 = r23008 - r23011;
        float r23013 = pow(r23012, r23001);
        float r23014 = cos(r23002);
        float r23015 = cos(r23005);
        float r23016 = r23014 * r23015;
        float r23017 = lambda1;
        float r23018 = lambda2;
        float r23019 = r23017 - r23018;
        float r23020 = r23019 / r23001;
        float r23021 = sin(r23020);
        float r23022 = r23016 * r23021;
        float r23023 = r23022 * r23021;
        float r23024 = r23013 + r23023;
        float r23025 = sqrt(r23024);
        float r23026 = 1;
        float r23027 = exp(r23021);
        float r23028 = sqrt(r23027);
        float r23029 = log(r23028);
        float r23030 = r23029 + r23029;
        float r23031 = r23022 * r23030;
        float r23032 = r23013 + r23031;
        float r23033 = r23026 - r23032;
        float r23034 = sqrt(r23033);
        float r23035 = atan2(r23025, r23034);
        float r23036 = r23001 * r23035;
        float r23037 = r23000 * r23036;
        return r23037;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r23038 = R;
        double r23039 = 2;
        double r23040 = phi1;
        double r23041 = r23040 / r23039;
        double r23042 = sin(r23041);
        double r23043 = phi2;
        double r23044 = r23043 / r23039;
        double r23045 = cos(r23044);
        double r23046 = r23042 * r23045;
        double r23047 = cos(r23041);
        double r23048 = sin(r23044);
        double r23049 = r23047 * r23048;
        double r23050 = r23046 - r23049;
        double r23051 = pow(r23050, r23039);
        double r23052 = cos(r23040);
        double r23053 = cos(r23043);
        double r23054 = r23052 * r23053;
        double r23055 = lambda1;
        double r23056 = lambda2;
        double r23057 = r23055 - r23056;
        double r23058 = r23057 / r23039;
        double r23059 = sin(r23058);
        double r23060 = r23054 * r23059;
        double r23061 = r23060 * r23059;
        double r23062 = r23051 + r23061;
        double r23063 = sqrt(r23062);
        double r23064 = 1;
        double r23065 = exp(r23059);
        double r23066 = sqrt(r23065);
        double r23067 = log(r23066);
        double r23068 = r23067 + r23067;
        double r23069 = r23060 * r23068;
        double r23070 = r23051 + r23069;
        double r23071 = r23064 - r23070;
        double r23072 = sqrt(r23071);
        double r23073 = atan2(r23063, r23072);
        double r23074 = r23039 * r23073;
        double r23075 = r23038 * 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, r23093, r23094, r23095, r23096, r23097, r23098, r23099, r23100, r23101;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23076);
        mpfr_init_set_str(r23077, "2", 10, MPFR_RNDN);
        mpfr_init(r23078);
        mpfr_init(r23079);
        mpfr_init(r23080);
        mpfr_init(r23081);
        mpfr_init(r23082);
        mpfr_init(r23083);
        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);
        mpfr_init(r23093);
        mpfr_init(r23094);
        mpfr_init(r23095);
        mpfr_init_set_str(r23096, "1", 10, MPFR_RNDN);
        mpfr_init(r23097);
        mpfr_init(r23098);
        mpfr_init(r23099);
        mpfr_init(r23100);
        mpfr_init(r23101);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r23076, R, MPFR_RNDN);
        ;
        mpfr_set_d(r23078, phi1, MPFR_RNDN);
        mpfr_set_d(r23079, phi2, MPFR_RNDN);
        mpfr_sub(r23080, r23078, r23079, MPFR_RNDN);
        mpfr_div(r23081, r23080, r23077, MPFR_RNDN);
        mpfr_sin(r23082, r23081, MPFR_RNDN);
        mpfr_pow(r23083, r23082, r23077, MPFR_RNDN);
        mpfr_cos(r23084, r23078, MPFR_RNDN);
        mpfr_cos(r23085, r23079, MPFR_RNDN);
        mpfr_mul(r23086, r23084, r23085, MPFR_RNDN);
        mpfr_set_d(r23087, lambda1, MPFR_RNDN);
        mpfr_set_d(r23088, lambda2, MPFR_RNDN);
        mpfr_sub(r23089, r23087, r23088, MPFR_RNDN);
        mpfr_div(r23090, r23089, r23077, MPFR_RNDN);
        mpfr_sin(r23091, r23090, MPFR_RNDN);
        mpfr_mul(r23092, r23086, r23091, MPFR_RNDN);
        mpfr_mul(r23093, r23092, r23091, MPFR_RNDN);
        mpfr_add(r23094, r23083, r23093, MPFR_RNDN);
        mpfr_sqrt(r23095, r23094, MPFR_RNDN);
        ;
        mpfr_sub(r23097, r23096, r23094, MPFR_RNDN);
        mpfr_sqrt(r23098, r23097, MPFR_RNDN);
        mpfr_atan2(r23099, r23095, r23098, MPFR_RNDN);
        mpfr_mul(r23100, r23077, r23099, MPFR_RNDN);
        mpfr_mul(r23101, r23076, r23100, MPFR_RNDN);
        return mpfr_get_d(r23101, MPFR_RNDN);
}

static mpfr_t r23102, r23103, r23104, r23105, r23106, r23107, r23108, r23109, r23110, r23111, r23112, r23113, r23114, 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;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23102);
        mpfr_init_set_str(r23103, "2", 10, MPFR_RNDN);
        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(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_set_str(r23128, "1", 10, MPFR_RNDN);
        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);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r23102, R, MPFR_RNDN);
        ;
        mpfr_set_d(r23104, phi1, MPFR_RNDN);
        mpfr_div(r23105, r23104, r23103, MPFR_RNDN);
        mpfr_sin(r23106, r23105, MPFR_RNDN);
        mpfr_set_d(r23107, phi2, MPFR_RNDN);
        mpfr_div(r23108, r23107, r23103, MPFR_RNDN);
        mpfr_cos(r23109, r23108, MPFR_RNDN);
        mpfr_mul(r23110, r23106, r23109, MPFR_RNDN);
        mpfr_cos(r23111, r23105, MPFR_RNDN);
        mpfr_sin(r23112, r23108, MPFR_RNDN);
        mpfr_mul(r23113, r23111, r23112, MPFR_RNDN);
        mpfr_sub(r23114, r23110, r23113, MPFR_RNDN);
        mpfr_pow(r23115, r23114, r23103, MPFR_RNDN);
        mpfr_cos(r23116, r23104, MPFR_RNDN);
        mpfr_cos(r23117, r23107, MPFR_RNDN);
        mpfr_mul(r23118, r23116, r23117, MPFR_RNDN);
        mpfr_set_d(r23119, lambda1, MPFR_RNDN);
        mpfr_set_d(r23120, lambda2, MPFR_RNDN);
        mpfr_sub(r23121, r23119, r23120, MPFR_RNDN);
        mpfr_div(r23122, r23121, r23103, MPFR_RNDN);
        mpfr_sin(r23123, r23122, MPFR_RNDN);
        mpfr_mul(r23124, r23118, r23123, MPFR_RNDN);
        mpfr_mul(r23125, r23124, r23123, MPFR_RNDN);
        mpfr_add(r23126, r23115, r23125, MPFR_RNDN);
        mpfr_sqrt(r23127, r23126, MPFR_RNDN);
        ;
        mpfr_exp(r23129, r23123, MPFR_RNDN);
        mpfr_sqrt(r23130, r23129, MPFR_RNDN);
        mpfr_log(r23131, r23130, MPFR_RNDN);
        mpfr_add(r23132, r23131, r23131, MPFR_RNDN);
        mpfr_mul(r23133, r23124, r23132, MPFR_RNDN);
        mpfr_add(r23134, r23115, r23133, MPFR_RNDN);
        mpfr_sub(r23135, r23128, r23134, MPFR_RNDN);
        mpfr_sqrt(r23136, r23135, MPFR_RNDN);
        mpfr_atan2(r23137, r23127, r23136, MPFR_RNDN);
        mpfr_mul(r23138, r23103, r23137, MPFR_RNDN);
        mpfr_mul(r23139, r23102, r23138, MPFR_RNDN);
        return mpfr_get_d(r23139, MPFR_RNDN);
}

static mpfr_t r23140, r23141, r23142, r23143, r23144, r23145, r23146, r23147, r23148, r23149, r23150, 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;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23140);
        mpfr_init_set_str(r23141, "2", 10, MPFR_RNDN);
        mpfr_init(r23142);
        mpfr_init(r23143);
        mpfr_init(r23144);
        mpfr_init(r23145);
        mpfr_init(r23146);
        mpfr_init(r23147);
        mpfr_init(r23148);
        mpfr_init(r23149);
        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);
        mpfr_init(r23159);
        mpfr_init(r23160);
        mpfr_init(r23161);
        mpfr_init(r23162);
        mpfr_init(r23163);
        mpfr_init(r23164);
        mpfr_init(r23165);
        mpfr_init_set_str(r23166, "1", 10, MPFR_RNDN);
        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);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r23140, R, MPFR_RNDN);
        ;
        mpfr_set_d(r23142, phi1, MPFR_RNDN);
        mpfr_div(r23143, r23142, r23141, MPFR_RNDN);
        mpfr_sin(r23144, r23143, MPFR_RNDN);
        mpfr_set_d(r23145, phi2, MPFR_RNDN);
        mpfr_div(r23146, r23145, r23141, MPFR_RNDN);
        mpfr_cos(r23147, r23146, MPFR_RNDN);
        mpfr_mul(r23148, r23144, r23147, MPFR_RNDN);
        mpfr_cos(r23149, r23143, MPFR_RNDN);
        mpfr_sin(r23150, r23146, MPFR_RNDN);
        mpfr_mul(r23151, r23149, r23150, MPFR_RNDN);
        mpfr_sub(r23152, r23148, r23151, MPFR_RNDN);
        mpfr_pow(r23153, r23152, r23141, MPFR_RNDN);
        mpfr_cos(r23154, r23142, MPFR_RNDN);
        mpfr_cos(r23155, r23145, MPFR_RNDN);
        mpfr_mul(r23156, r23154, r23155, MPFR_RNDN);
        mpfr_set_d(r23157, lambda1, MPFR_RNDN);
        mpfr_set_d(r23158, lambda2, MPFR_RNDN);
        mpfr_sub(r23159, r23157, r23158, MPFR_RNDN);
        mpfr_div(r23160, r23159, r23141, MPFR_RNDN);
        mpfr_sin(r23161, r23160, MPFR_RNDN);
        mpfr_mul(r23162, r23156, r23161, MPFR_RNDN);
        mpfr_mul(r23163, r23162, r23161, MPFR_RNDN);
        mpfr_add(r23164, r23153, r23163, MPFR_RNDN);
        mpfr_sqrt(r23165, r23164, MPFR_RNDN);
        ;
        mpfr_exp(r23167, r23161, MPFR_RNDN);
        mpfr_sqrt(r23168, r23167, MPFR_RNDN);
        mpfr_log(r23169, r23168, MPFR_RNDN);
        mpfr_add(r23170, r23169, r23169, MPFR_RNDN);
        mpfr_mul(r23171, r23162, r23170, MPFR_RNDN);
        mpfr_add(r23172, r23153, r23171, MPFR_RNDN);
        mpfr_sub(r23173, r23166, r23172, MPFR_RNDN);
        mpfr_sqrt(r23174, r23173, MPFR_RNDN);
        mpfr_atan2(r23175, r23165, r23174, MPFR_RNDN);
        mpfr_mul(r23176, r23141, r23175, MPFR_RNDN);
        mpfr_mul(r23177, r23140, r23176, MPFR_RNDN);
        return mpfr_get_d(r23177, MPFR_RNDN);
}

