#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 r22993 = R;
        float r22994 = 2;
        float r22995 = phi1;
        float r22996 = phi2;
        float r22997 = r22995 - r22996;
        float r22998 = r22997 / r22994;
        float r22999 = sin(r22998);
        float r23000 = pow(r22999, r22994);
        float r23001 = cos(r22995);
        float r23002 = cos(r22996);
        float r23003 = r23001 * r23002;
        float r23004 = lambda1;
        float r23005 = lambda2;
        float r23006 = r23004 - r23005;
        float r23007 = r23006 / r22994;
        float r23008 = sin(r23007);
        float r23009 = r23003 * r23008;
        float r23010 = r23009 * r23008;
        float r23011 = r23000 + r23010;
        float r23012 = sqrt(r23011);
        float r23013 = 1;
        float r23014 = r23013 - r23011;
        float r23015 = sqrt(r23014);
        float r23016 = atan2(r23012, r23015);
        float r23017 = r22994 * r23016;
        float r23018 = r22993 * r23017;
        return r23018;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r23019 = R;
        double r23020 = 2;
        double r23021 = phi1;
        double r23022 = phi2;
        double r23023 = r23021 - r23022;
        double r23024 = r23023 / r23020;
        double r23025 = sin(r23024);
        double r23026 = pow(r23025, r23020);
        double r23027 = cos(r23021);
        double r23028 = cos(r23022);
        double r23029 = r23027 * r23028;
        double r23030 = lambda1;
        double r23031 = lambda2;
        double r23032 = r23030 - r23031;
        double r23033 = r23032 / r23020;
        double r23034 = sin(r23033);
        double r23035 = r23029 * r23034;
        double r23036 = r23035 * r23034;
        double r23037 = r23026 + r23036;
        double r23038 = sqrt(r23037);
        double r23039 = 1;
        double r23040 = r23039 - r23037;
        double r23041 = sqrt(r23040);
        double r23042 = atan2(r23038, r23041);
        double r23043 = r23020 * r23042;
        double r23044 = r23019 * r23043;
        return r23044;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r23045 = R;
        float r23046 = 2;
        float r23047 = phi1;
        float r23048 = phi2;
        float r23049 = r23047 - r23048;
        float r23050 = r23049 / r23046;
        float r23051 = sin(r23050);
        float r23052 = pow(r23051, r23046);
        float r23053 = cos(r23047);
        float r23054 = cos(r23048);
        float r23055 = r23053 * r23054;
        float r23056 = lambda1;
        float r23057 = lambda2;
        float r23058 = r23056 - r23057;
        float r23059 = r23058 / r23046;
        float r23060 = sin(r23059);
        float r23061 = r23055 * r23060;
        float r23062 = expm1(r23060);
        float r23063 = log1p(r23062);
        float r23064 = r23061 * r23063;
        float r23065 = r23052 + r23064;
        float r23066 = sqrt(r23065);
        float r23067 = 1;
        float r23068 = r23055 * r23063;
        float r23069 = r23068 * r23063;
        float r23070 = r23052 + r23069;
        float r23071 = r23067 - r23070;
        float r23072 = sqrt(r23071);
        float r23073 = atan2(r23066, r23072);
        float r23074 = r23046 * r23073;
        float r23075 = r23045 * r23074;
        return r23075;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r23076 = R;
        double r23077 = 2;
        double r23078 = phi1;
        double r23079 = phi2;
        double r23080 = r23078 - r23079;
        double r23081 = r23080 / r23077;
        double r23082 = sin(r23081);
        double r23083 = pow(r23082, r23077);
        double r23084 = cos(r23078);
        double r23085 = cos(r23079);
        double r23086 = r23084 * r23085;
        double r23087 = lambda1;
        double r23088 = lambda2;
        double r23089 = r23087 - r23088;
        double r23090 = r23089 / r23077;
        double r23091 = sin(r23090);
        double r23092 = r23086 * r23091;
        double r23093 = expm1(r23091);
        double r23094 = log1p(r23093);
        double r23095 = r23092 * r23094;
        double r23096 = r23083 + r23095;
        double r23097 = sqrt(r23096);
        double r23098 = 1;
        double r23099 = r23086 * r23094;
        double r23100 = r23099 * r23094;
        double r23101 = r23083 + r23100;
        double r23102 = r23098 - r23101;
        double r23103 = sqrt(r23102);
        double r23104 = atan2(r23097, r23103);
        double r23105 = r23077 * r23104;
        double r23106 = r23076 * r23105;
        return r23106;
}

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 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;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init(r23107);
        mpfr_init_set_str(r23108, "2", 10, MPFR_RNDN);
        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_set_str(r23127, "1", 10, MPFR_RNDN);
        mpfr_init(r23128);
        mpfr_init(r23129);
        mpfr_init(r23130);
        mpfr_init(r23131);
        mpfr_init(r23132);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r23107, R, MPFR_RNDN);
        ;
        mpfr_set_d(r23109, phi1, MPFR_RNDN);
        mpfr_set_d(r23110, phi2, MPFR_RNDN);
        mpfr_sub(r23111, r23109, r23110, MPFR_RNDN);
        mpfr_div(r23112, r23111, r23108, MPFR_RNDN);
        mpfr_sin(r23113, r23112, MPFR_RNDN);
        mpfr_pow(r23114, r23113, r23108, MPFR_RNDN);
        mpfr_cos(r23115, r23109, MPFR_RNDN);
        mpfr_cos(r23116, r23110, MPFR_RNDN);
        mpfr_mul(r23117, r23115, r23116, MPFR_RNDN);
        mpfr_set_d(r23118, lambda1, MPFR_RNDN);
        mpfr_set_d(r23119, lambda2, MPFR_RNDN);
        mpfr_sub(r23120, r23118, r23119, MPFR_RNDN);
        mpfr_div(r23121, r23120, r23108, MPFR_RNDN);
        mpfr_sin(r23122, r23121, MPFR_RNDN);
        mpfr_mul(r23123, r23117, r23122, MPFR_RNDN);
        mpfr_mul(r23124, r23123, r23122, MPFR_RNDN);
        mpfr_add(r23125, r23114, r23124, MPFR_RNDN);
        mpfr_sqrt(r23126, r23125, MPFR_RNDN);
        ;
        mpfr_sub(r23128, r23127, r23125, MPFR_RNDN);
        mpfr_sqrt(r23129, r23128, MPFR_RNDN);
        mpfr_atan2(r23130, r23126, r23129, MPFR_RNDN);
        mpfr_mul(r23131, r23108, r23130, MPFR_RNDN);
        mpfr_mul(r23132, r23107, r23131, MPFR_RNDN);
        return mpfr_get_d(r23132, MPFR_RNDN);
}

static mpfr_t 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, r23159, r23160, r23161, r23162, r23163;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r23133);
        mpfr_init_set_str(r23134, "2", 10, MPFR_RNDN);
        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(r23149);
        mpfr_init(r23150);
        mpfr_init(r23151);
        mpfr_init(r23152);
        mpfr_init(r23153);
        mpfr_init(r23154);
        mpfr_init_set_str(r23155, "1", 10, MPFR_RNDN);
        mpfr_init(r23156);
        mpfr_init(r23157);
        mpfr_init(r23158);
        mpfr_init(r23159);
        mpfr_init(r23160);
        mpfr_init(r23161);
        mpfr_init(r23162);
        mpfr_init(r23163);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r23133, R, MPFR_RNDN);
        ;
        mpfr_set_d(r23135, phi1, MPFR_RNDN);
        mpfr_set_d(r23136, phi2, MPFR_RNDN);
        mpfr_sub(r23137, r23135, r23136, MPFR_RNDN);
        mpfr_div(r23138, r23137, r23134, MPFR_RNDN);
        mpfr_sin(r23139, r23138, MPFR_RNDN);
        mpfr_pow(r23140, r23139, r23134, MPFR_RNDN);
        mpfr_cos(r23141, r23135, MPFR_RNDN);
        mpfr_cos(r23142, r23136, MPFR_RNDN);
        mpfr_mul(r23143, r23141, r23142, MPFR_RNDN);
        mpfr_set_d(r23144, lambda1, MPFR_RNDN);
        mpfr_set_d(r23145, lambda2, MPFR_RNDN);
        mpfr_sub(r23146, r23144, r23145, MPFR_RNDN);
        mpfr_div(r23147, r23146, r23134, MPFR_RNDN);
        mpfr_sin(r23148, r23147, MPFR_RNDN);
        mpfr_mul(r23149, r23143, r23148, MPFR_RNDN);
        mpfr_expm1(r23150, r23148, MPFR_RNDN);
        mpfr_log1p(r23151, r23150, MPFR_RNDN);
        mpfr_mul(r23152, r23149, r23151, MPFR_RNDN);
        mpfr_add(r23153, r23140, r23152, MPFR_RNDN);
        mpfr_sqrt(r23154, r23153, MPFR_RNDN);
        ;
        mpfr_mul(r23156, r23143, r23151, MPFR_RNDN);
        mpfr_mul(r23157, r23156, r23151, MPFR_RNDN);
        mpfr_add(r23158, r23140, r23157, MPFR_RNDN);
        mpfr_sub(r23159, r23155, r23158, MPFR_RNDN);
        mpfr_sqrt(r23160, r23159, MPFR_RNDN);
        mpfr_atan2(r23161, r23154, r23160, MPFR_RNDN);
        mpfr_mul(r23162, r23134, r23161, MPFR_RNDN);
        mpfr_mul(r23163, r23133, r23162, MPFR_RNDN);
        return mpfr_get_d(r23163, MPFR_RNDN);
}

static mpfr_t r23164, r23165, r23166, r23167, r23168, r23169, r23170, r23171, r23172, r23173, r23174, r23175, r23176, r23177, r23178, r23179, r23180, r23181, r23182, r23183, r23184, r23185, r23186, r23187, r23188, r23189, r23190, r23191, r23192, r23193, r23194;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r23164);
        mpfr_init_set_str(r23165, "2", 10, MPFR_RNDN);
        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(r23179);
        mpfr_init(r23180);
        mpfr_init(r23181);
        mpfr_init(r23182);
        mpfr_init(r23183);
        mpfr_init(r23184);
        mpfr_init(r23185);
        mpfr_init_set_str(r23186, "1", 10, MPFR_RNDN);
        mpfr_init(r23187);
        mpfr_init(r23188);
        mpfr_init(r23189);
        mpfr_init(r23190);
        mpfr_init(r23191);
        mpfr_init(r23192);
        mpfr_init(r23193);
        mpfr_init(r23194);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r23164, R, MPFR_RNDN);
        ;
        mpfr_set_d(r23166, phi1, MPFR_RNDN);
        mpfr_set_d(r23167, phi2, MPFR_RNDN);
        mpfr_sub(r23168, r23166, r23167, MPFR_RNDN);
        mpfr_div(r23169, r23168, r23165, MPFR_RNDN);
        mpfr_sin(r23170, r23169, MPFR_RNDN);
        mpfr_pow(r23171, r23170, r23165, MPFR_RNDN);
        mpfr_cos(r23172, r23166, MPFR_RNDN);
        mpfr_cos(r23173, r23167, MPFR_RNDN);
        mpfr_mul(r23174, r23172, r23173, MPFR_RNDN);
        mpfr_set_d(r23175, lambda1, MPFR_RNDN);
        mpfr_set_d(r23176, lambda2, MPFR_RNDN);
        mpfr_sub(r23177, r23175, r23176, MPFR_RNDN);
        mpfr_div(r23178, r23177, r23165, MPFR_RNDN);
        mpfr_sin(r23179, r23178, MPFR_RNDN);
        mpfr_mul(r23180, r23174, r23179, MPFR_RNDN);
        mpfr_expm1(r23181, r23179, MPFR_RNDN);
        mpfr_log1p(r23182, r23181, MPFR_RNDN);
        mpfr_mul(r23183, r23180, r23182, MPFR_RNDN);
        mpfr_add(r23184, r23171, r23183, MPFR_RNDN);
        mpfr_sqrt(r23185, r23184, MPFR_RNDN);
        ;
        mpfr_mul(r23187, r23174, r23182, MPFR_RNDN);
        mpfr_mul(r23188, r23187, r23182, MPFR_RNDN);
        mpfr_add(r23189, r23171, r23188, MPFR_RNDN);
        mpfr_sub(r23190, r23186, r23189, MPFR_RNDN);
        mpfr_sqrt(r23191, r23190, MPFR_RNDN);
        mpfr_atan2(r23192, r23185, r23191, MPFR_RNDN);
        mpfr_mul(r23193, r23165, r23192, MPFR_RNDN);
        mpfr_mul(r23194, r23164, r23193, MPFR_RNDN);
        return mpfr_get_d(r23194, MPFR_RNDN);
}