#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 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 = r23061 * r23060;
        float r23063 = r23052 + r23062;
        float r23064 = sqrt(r23063);
        float r23065 = 1;
        float r23066 = r23065 - r23063;
        float r23067 = sqrt(r23066);
        float r23068 = atan2(r23064, r23067);
        float r23069 = r23046 * r23068;
        float r23070 = r23045 * r23069;
        return r23070;
}

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


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r23097 = R;
        float r23098 = 2;
        float r23099 = phi1;
        float r23100 = phi2;
        float r23101 = r23099 - r23100;
        float r23102 = r23101 / r23098;
        float r23103 = sin(r23102);
        float r23104 = pow(r23103, r23098);
        float r23105 = cos(r23099);
        float r23106 = cos(r23100);
        float r23107 = r23105 * r23106;
        float r23108 = lambda1;
        float r23109 = lambda2;
        float r23110 = r23108 - r23109;
        float r23111 = r23110 / r23098;
        float r23112 = sin(r23111);
        float r23113 = r23107 * r23112;
        float r23114 = expm1(r23112);
        float r23115 = log1p(r23114);
        float r23116 = r23113 * r23115;
        float r23117 = r23104 + r23116;
        float r23118 = sqrt(r23117);
        float r23119 = 1;
        float r23120 = r23113 * r23112;
        float r23121 = r23104 + r23120;
        float r23122 = r23119 - r23121;
        float r23123 = sqrt(r23122);
        float r23124 = atan2(r23118, r23123);
        float r23125 = r23098 * r23124;
        float r23126 = r23097 * r23125;
        return r23126;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r23127 = R;
        double r23128 = 2;
        double r23129 = phi1;
        double r23130 = phi2;
        double r23131 = r23129 - r23130;
        double r23132 = r23131 / r23128;
        double r23133 = sin(r23132);
        double r23134 = pow(r23133, r23128);
        double r23135 = cos(r23129);
        double r23136 = cos(r23130);
        double r23137 = r23135 * r23136;
        double r23138 = lambda1;
        double r23139 = lambda2;
        double r23140 = r23138 - r23139;
        double r23141 = r23140 / r23128;
        double r23142 = sin(r23141);
        double r23143 = r23137 * r23142;
        double r23144 = expm1(r23142);
        double r23145 = log1p(r23144);
        double r23146 = r23143 * r23145;
        double r23147 = r23134 + r23146;
        double r23148 = sqrt(r23147);
        double r23149 = 1;
        double r23150 = r23143 * r23142;
        double r23151 = r23134 + r23150;
        double r23152 = r23149 - r23151;
        double r23153 = sqrt(r23152);
        double r23154 = atan2(r23148, r23153);
        double r23155 = r23128 * r23154;
        double r23156 = r23127 * r23155;
        return r23156;
}

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 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;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23157);
        mpfr_init_set_str(r23158, "2", 10, MPFR_RNDN);
        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);
}

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

static mpfr_t r23183, r23184, r23185, r23186, r23187, r23188, r23189, r23190, r23191, r23192, r23193, r23194, r23195, r23196, r23197, r23198, r23199, r23200, r23201, r23202, r23203, r23204, r23205, r23206, r23207, r23208, r23209, r23210, r23211, r23212;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23183);
        mpfr_init_set_str(r23184, "2", 10, MPFR_RNDN);
        mpfr_init(r23185);
        mpfr_init(r23186);
        mpfr_init(r23187);
        mpfr_init(r23188);
        mpfr_init(r23189);
        mpfr_init(r23190);
        mpfr_init(r23191);
        mpfr_init(r23192);
        mpfr_init(r23193);
        mpfr_init(r23194);
        mpfr_init(r23195);
        mpfr_init(r23196);
        mpfr_init(r23197);
        mpfr_init(r23198);
        mpfr_init(r23199);
        mpfr_init(r23200);
        mpfr_init(r23201);
        mpfr_init(r23202);
        mpfr_init(r23203);
        mpfr_init(r23204);
        mpfr_init_set_str(r23205, "1", 10, MPFR_RNDN);
        mpfr_init(r23206);
        mpfr_init(r23207);
        mpfr_init(r23208);
        mpfr_init(r23209);
        mpfr_init(r23210);
        mpfr_init(r23211);
        mpfr_init(r23212);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r23183, R, MPFR_RNDN);
        ;
        mpfr_set_d(r23185, phi1, MPFR_RNDN);
        mpfr_set_d(r23186, phi2, MPFR_RNDN);
        mpfr_sub(r23187, r23185, r23186, MPFR_RNDN);
        mpfr_div(r23188, r23187, r23184, MPFR_RNDN);
        mpfr_sin(r23189, r23188, MPFR_RNDN);
        mpfr_pow(r23190, r23189, r23184, MPFR_RNDN);
        mpfr_cos(r23191, r23185, MPFR_RNDN);
        mpfr_cos(r23192, r23186, MPFR_RNDN);
        mpfr_mul(r23193, r23191, r23192, MPFR_RNDN);
        mpfr_set_d(r23194, lambda1, MPFR_RNDN);
        mpfr_set_d(r23195, lambda2, MPFR_RNDN);
        mpfr_sub(r23196, r23194, r23195, MPFR_RNDN);
        mpfr_div(r23197, r23196, r23184, MPFR_RNDN);
        mpfr_sin(r23198, r23197, MPFR_RNDN);
        mpfr_mul(r23199, r23193, r23198, MPFR_RNDN);
        mpfr_expm1(r23200, r23198, MPFR_RNDN);
        mpfr_log1p(r23201, r23200, MPFR_RNDN);
        mpfr_mul(r23202, r23199, r23201, MPFR_RNDN);
        mpfr_add(r23203, r23190, r23202, MPFR_RNDN);
        mpfr_sqrt(r23204, r23203, MPFR_RNDN);
        ;
        mpfr_mul(r23206, r23199, r23198, MPFR_RNDN);
        mpfr_add(r23207, r23190, r23206, MPFR_RNDN);
        mpfr_sub(r23208, r23205, r23207, MPFR_RNDN);
        mpfr_sqrt(r23209, r23208, MPFR_RNDN);
        mpfr_atan2(r23210, r23204, r23209, MPFR_RNDN);
        mpfr_mul(r23211, r23184, r23210, MPFR_RNDN);
        mpfr_mul(r23212, r23183, r23211, MPFR_RNDN);
        return mpfr_get_d(r23212, MPFR_RNDN);
}

static mpfr_t r23213, r23214, r23215, r23216, r23217, r23218, r23219, r23220, r23221, r23222, r23223, r23224, r23225, r23226, r23227, r23228, r23229, r23230, r23231, r23232, r23233, r23234, r23235, r23236, r23237, r23238, r23239, r23240, r23241, r23242;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23213);
        mpfr_init_set_str(r23214, "2", 10, MPFR_RNDN);
        mpfr_init(r23215);
        mpfr_init(r23216);
        mpfr_init(r23217);
        mpfr_init(r23218);
        mpfr_init(r23219);
        mpfr_init(r23220);
        mpfr_init(r23221);
        mpfr_init(r23222);
        mpfr_init(r23223);
        mpfr_init(r23224);
        mpfr_init(r23225);
        mpfr_init(r23226);
        mpfr_init(r23227);
        mpfr_init(r23228);
        mpfr_init(r23229);
        mpfr_init(r23230);
        mpfr_init(r23231);
        mpfr_init(r23232);
        mpfr_init(r23233);
        mpfr_init(r23234);
        mpfr_init_set_str(r23235, "1", 10, MPFR_RNDN);
        mpfr_init(r23236);
        mpfr_init(r23237);
        mpfr_init(r23238);
        mpfr_init(r23239);
        mpfr_init(r23240);
        mpfr_init(r23241);
        mpfr_init(r23242);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r23213, R, MPFR_RNDN);
        ;
        mpfr_set_d(r23215, phi1, MPFR_RNDN);
        mpfr_set_d(r23216, phi2, MPFR_RNDN);
        mpfr_sub(r23217, r23215, r23216, MPFR_RNDN);
        mpfr_div(r23218, r23217, r23214, MPFR_RNDN);
        mpfr_sin(r23219, r23218, MPFR_RNDN);
        mpfr_pow(r23220, r23219, r23214, MPFR_RNDN);
        mpfr_cos(r23221, r23215, MPFR_RNDN);
        mpfr_cos(r23222, r23216, MPFR_RNDN);
        mpfr_mul(r23223, r23221, r23222, MPFR_RNDN);
        mpfr_set_d(r23224, lambda1, MPFR_RNDN);
        mpfr_set_d(r23225, lambda2, MPFR_RNDN);
        mpfr_sub(r23226, r23224, r23225, MPFR_RNDN);
        mpfr_div(r23227, r23226, r23214, MPFR_RNDN);
        mpfr_sin(r23228, r23227, MPFR_RNDN);
        mpfr_mul(r23229, r23223, r23228, MPFR_RNDN);
        mpfr_expm1(r23230, r23228, MPFR_RNDN);
        mpfr_log1p(r23231, r23230, MPFR_RNDN);
        mpfr_mul(r23232, r23229, r23231, MPFR_RNDN);
        mpfr_add(r23233, r23220, r23232, MPFR_RNDN);
        mpfr_sqrt(r23234, r23233, MPFR_RNDN);
        ;
        mpfr_mul(r23236, r23229, r23228, MPFR_RNDN);
        mpfr_add(r23237, r23220, r23236, MPFR_RNDN);
        mpfr_sub(r23238, r23235, r23237, MPFR_RNDN);
        mpfr_sqrt(r23239, r23238, MPFR_RNDN);
        mpfr_atan2(r23240, r23234, r23239, MPFR_RNDN);
        mpfr_mul(r23241, r23214, r23240, MPFR_RNDN);
        mpfr_mul(r23242, r23213, r23241, MPFR_RNDN);
        return mpfr_get_d(r23242, MPFR_RNDN);
}