#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 r23058 = R;
        float r23059 = 2;
        float r23060 = phi1;
        float r23061 = phi2;
        float r23062 = r23060 - r23061;
        float r23063 = r23062 / r23059;
        float r23064 = sin(r23063);
        float r23065 = pow(r23064, r23059);
        float r23066 = cos(r23060);
        float r23067 = cos(r23061);
        float r23068 = r23066 * r23067;
        float r23069 = lambda1;
        float r23070 = lambda2;
        float r23071 = r23069 - r23070;
        float r23072 = r23071 / r23059;
        float r23073 = sin(r23072);
        float r23074 = r23068 * r23073;
        float r23075 = r23074 * r23073;
        float r23076 = r23065 + r23075;
        float r23077 = sqrt(r23076);
        float r23078 = 1;
        float r23079 = r23078 - r23076;
        float r23080 = sqrt(r23079);
        float r23081 = atan2(r23077, r23080);
        float r23082 = r23059 * r23081;
        float r23083 = r23058 * r23082;
        return r23083;
}

double f_id(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r23084 = R;
        double r23085 = 2;
        double r23086 = phi1;
        double r23087 = phi2;
        double r23088 = r23086 - r23087;
        double r23089 = r23088 / r23085;
        double r23090 = sin(r23089);
        double r23091 = pow(r23090, r23085);
        double r23092 = cos(r23086);
        double r23093 = cos(r23087);
        double r23094 = r23092 * r23093;
        double r23095 = lambda1;
        double r23096 = lambda2;
        double r23097 = r23095 - r23096;
        double r23098 = r23097 / r23085;
        double r23099 = sin(r23098);
        double r23100 = r23094 * r23099;
        double r23101 = r23100 * r23099;
        double r23102 = r23091 + r23101;
        double r23103 = sqrt(r23102);
        double r23104 = 1;
        double r23105 = r23104 - r23102;
        double r23106 = sqrt(r23105);
        double r23107 = atan2(r23103, r23106);
        double r23108 = r23085 * r23107;
        double r23109 = r23084 * r23108;
        return r23109;
}


double f_of(float R, float lambda1, float lambda2, float phi1, float phi2) {
        float r23110 = R;
        float r23111 = 2;
        float r23112 = phi1;
        float r23113 = phi2;
        float r23114 = r23112 - r23113;
        float r23115 = r23114 / r23111;
        float r23116 = sin(r23115);
        float r23117 = pow(r23116, r23111);
        float r23118 = cos(r23112);
        float r23119 = cos(r23113);
        float r23120 = r23118 * r23119;
        float r23121 = lambda1;
        float r23122 = lambda2;
        float r23123 = r23121 - r23122;
        float r23124 = r23123 / r23111;
        float r23125 = sin(r23124);
        float r23126 = r23120 * r23125;
        float r23127 = expm1(r23125);
        float r23128 = log1p(r23127);
        float r23129 = r23126 * r23128;
        float r23130 = r23117 + r23129;
        float r23131 = sqrt(r23130);
        float r23132 = 1;
        float r23133 = r23126 * r23125;
        float r23134 = r23117 + r23133;
        float r23135 = r23132 - r23134;
        float r23136 = sqrt(r23135);
        float r23137 = atan2(r23131, r23136);
        float r23138 = r23111 * r23137;
        float r23139 = r23110 * r23138;
        return r23139;
}

double f_od(double R, double lambda1, double lambda2, double phi1, double phi2) {
        double r23140 = R;
        double r23141 = 2;
        double r23142 = phi1;
        double r23143 = phi2;
        double r23144 = r23142 - r23143;
        double r23145 = r23144 / r23141;
        double r23146 = sin(r23145);
        double r23147 = pow(r23146, r23141);
        double r23148 = cos(r23142);
        double r23149 = cos(r23143);
        double r23150 = r23148 * r23149;
        double r23151 = lambda1;
        double r23152 = lambda2;
        double r23153 = r23151 - r23152;
        double r23154 = r23153 / r23141;
        double r23155 = sin(r23154);
        double r23156 = r23150 * r23155;
        double r23157 = expm1(r23155);
        double r23158 = log1p(r23157);
        double r23159 = r23156 * r23158;
        double r23160 = r23147 + r23159;
        double r23161 = sqrt(r23160);
        double r23162 = 1;
        double r23163 = r23156 * r23155;
        double r23164 = r23147 + r23163;
        double r23165 = r23162 - r23164;
        double r23166 = sqrt(r23165);
        double r23167 = atan2(r23161, r23166);
        double r23168 = r23141 * r23167;
        double r23169 = r23140 * r23168;
        return r23169;
}

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 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, r23195;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23170);
        mpfr_init_set_str(r23171, "2", 10, MPFR_RNDN);
        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(r23186);
        mpfr_init(r23187);
        mpfr_init(r23188);
        mpfr_init(r23189);
        mpfr_init_set_str(r23190, "1", 10, MPFR_RNDN);
        mpfr_init(r23191);
        mpfr_init(r23192);
        mpfr_init(r23193);
        mpfr_init(r23194);
        mpfr_init(r23195);
}

double f_im(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r23170, R, MPFR_RNDN);
        ;
        mpfr_set_d(r23172, phi1, MPFR_RNDN);
        mpfr_set_d(r23173, phi2, MPFR_RNDN);
        mpfr_sub(r23174, r23172, r23173, MPFR_RNDN);
        mpfr_div(r23175, r23174, r23171, MPFR_RNDN);
        mpfr_sin(r23176, r23175, MPFR_RNDN);
        mpfr_pow(r23177, r23176, r23171, MPFR_RNDN);
        mpfr_cos(r23178, r23172, MPFR_RNDN);
        mpfr_cos(r23179, r23173, MPFR_RNDN);
        mpfr_mul(r23180, r23178, r23179, MPFR_RNDN);
        mpfr_set_d(r23181, lambda1, MPFR_RNDN);
        mpfr_set_d(r23182, lambda2, MPFR_RNDN);
        mpfr_sub(r23183, r23181, r23182, MPFR_RNDN);
        mpfr_div(r23184, r23183, r23171, MPFR_RNDN);
        mpfr_sin(r23185, r23184, MPFR_RNDN);
        mpfr_mul(r23186, r23180, r23185, MPFR_RNDN);
        mpfr_mul(r23187, r23186, r23185, MPFR_RNDN);
        mpfr_add(r23188, r23177, r23187, MPFR_RNDN);
        mpfr_sqrt(r23189, r23188, MPFR_RNDN);
        ;
        mpfr_sub(r23191, r23190, r23188, MPFR_RNDN);
        mpfr_sqrt(r23192, r23191, MPFR_RNDN);
        mpfr_atan2(r23193, r23189, r23192, MPFR_RNDN);
        mpfr_mul(r23194, r23171, r23193, MPFR_RNDN);
        mpfr_mul(r23195, r23170, r23194, MPFR_RNDN);
        return mpfr_get_d(r23195, MPFR_RNDN);
}

static mpfr_t r23196, r23197, r23198, r23199, r23200, r23201, r23202, r23203, r23204, r23205, r23206, r23207, r23208, r23209, r23210, r23211, r23212, r23213, r23214, r23215, r23216, r23217, r23218, r23219, r23220, r23221, r23222, r23223, r23224, r23225;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23196);
        mpfr_init_set_str(r23197, "2", 10, MPFR_RNDN);
        mpfr_init(r23198);
        mpfr_init(r23199);
        mpfr_init(r23200);
        mpfr_init(r23201);
        mpfr_init(r23202);
        mpfr_init(r23203);
        mpfr_init(r23204);
        mpfr_init(r23205);
        mpfr_init(r23206);
        mpfr_init(r23207);
        mpfr_init(r23208);
        mpfr_init(r23209);
        mpfr_init(r23210);
        mpfr_init(r23211);
        mpfr_init(r23212);
        mpfr_init(r23213);
        mpfr_init(r23214);
        mpfr_init(r23215);
        mpfr_init(r23216);
        mpfr_init(r23217);
        mpfr_init_set_str(r23218, "1", 10, MPFR_RNDN);
        mpfr_init(r23219);
        mpfr_init(r23220);
        mpfr_init(r23221);
        mpfr_init(r23222);
        mpfr_init(r23223);
        mpfr_init(r23224);
        mpfr_init(r23225);
}

double f_fm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r23196, R, MPFR_RNDN);
        ;
        mpfr_set_d(r23198, phi1, MPFR_RNDN);
        mpfr_set_d(r23199, phi2, MPFR_RNDN);
        mpfr_sub(r23200, r23198, r23199, MPFR_RNDN);
        mpfr_div(r23201, r23200, r23197, MPFR_RNDN);
        mpfr_sin(r23202, r23201, MPFR_RNDN);
        mpfr_pow(r23203, r23202, r23197, MPFR_RNDN);
        mpfr_cos(r23204, r23198, MPFR_RNDN);
        mpfr_cos(r23205, r23199, MPFR_RNDN);
        mpfr_mul(r23206, r23204, r23205, MPFR_RNDN);
        mpfr_set_d(r23207, lambda1, MPFR_RNDN);
        mpfr_set_d(r23208, lambda2, MPFR_RNDN);
        mpfr_sub(r23209, r23207, r23208, MPFR_RNDN);
        mpfr_div(r23210, r23209, r23197, MPFR_RNDN);
        mpfr_sin(r23211, r23210, MPFR_RNDN);
        mpfr_mul(r23212, r23206, r23211, MPFR_RNDN);
        mpfr_expm1(r23213, r23211, MPFR_RNDN);
        mpfr_log1p(r23214, r23213, MPFR_RNDN);
        mpfr_mul(r23215, r23212, r23214, MPFR_RNDN);
        mpfr_add(r23216, r23203, r23215, MPFR_RNDN);
        mpfr_sqrt(r23217, r23216, MPFR_RNDN);
        ;
        mpfr_mul(r23219, r23212, r23211, MPFR_RNDN);
        mpfr_add(r23220, r23203, r23219, MPFR_RNDN);
        mpfr_sub(r23221, r23218, r23220, MPFR_RNDN);
        mpfr_sqrt(r23222, r23221, MPFR_RNDN);
        mpfr_atan2(r23223, r23217, r23222, MPFR_RNDN);
        mpfr_mul(r23224, r23197, r23223, MPFR_RNDN);
        mpfr_mul(r23225, r23196, r23224, MPFR_RNDN);
        return mpfr_get_d(r23225, MPFR_RNDN);
}

static mpfr_t r23226, r23227, r23228, r23229, r23230, r23231, r23232, r23233, r23234, r23235, r23236, r23237, r23238, r23239, r23240, r23241, r23242, r23243, r23244, r23245, r23246, r23247, r23248, r23249, r23250, r23251, r23252, r23253, r23254, r23255;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23226);
        mpfr_init_set_str(r23227, "2", 10, MPFR_RNDN);
        mpfr_init(r23228);
        mpfr_init(r23229);
        mpfr_init(r23230);
        mpfr_init(r23231);
        mpfr_init(r23232);
        mpfr_init(r23233);
        mpfr_init(r23234);
        mpfr_init(r23235);
        mpfr_init(r23236);
        mpfr_init(r23237);
        mpfr_init(r23238);
        mpfr_init(r23239);
        mpfr_init(r23240);
        mpfr_init(r23241);
        mpfr_init(r23242);
        mpfr_init(r23243);
        mpfr_init(r23244);
        mpfr_init(r23245);
        mpfr_init(r23246);
        mpfr_init(r23247);
        mpfr_init_set_str(r23248, "1", 10, MPFR_RNDN);
        mpfr_init(r23249);
        mpfr_init(r23250);
        mpfr_init(r23251);
        mpfr_init(r23252);
        mpfr_init(r23253);
        mpfr_init(r23254);
        mpfr_init(r23255);
}

double f_dm(double R, double lambda1, double lambda2, double phi1, double phi2) {
        mpfr_set_d(r23226, R, MPFR_RNDN);
        ;
        mpfr_set_d(r23228, phi1, MPFR_RNDN);
        mpfr_set_d(r23229, phi2, MPFR_RNDN);
        mpfr_sub(r23230, r23228, r23229, MPFR_RNDN);
        mpfr_div(r23231, r23230, r23227, MPFR_RNDN);
        mpfr_sin(r23232, r23231, MPFR_RNDN);
        mpfr_pow(r23233, r23232, r23227, MPFR_RNDN);
        mpfr_cos(r23234, r23228, MPFR_RNDN);
        mpfr_cos(r23235, r23229, MPFR_RNDN);
        mpfr_mul(r23236, r23234, r23235, MPFR_RNDN);
        mpfr_set_d(r23237, lambda1, MPFR_RNDN);
        mpfr_set_d(r23238, lambda2, MPFR_RNDN);
        mpfr_sub(r23239, r23237, r23238, MPFR_RNDN);
        mpfr_div(r23240, r23239, r23227, MPFR_RNDN);
        mpfr_sin(r23241, r23240, MPFR_RNDN);
        mpfr_mul(r23242, r23236, r23241, MPFR_RNDN);
        mpfr_expm1(r23243, r23241, MPFR_RNDN);
        mpfr_log1p(r23244, r23243, MPFR_RNDN);
        mpfr_mul(r23245, r23242, r23244, MPFR_RNDN);
        mpfr_add(r23246, r23233, r23245, MPFR_RNDN);
        mpfr_sqrt(r23247, r23246, MPFR_RNDN);
        ;
        mpfr_mul(r23249, r23242, r23241, MPFR_RNDN);
        mpfr_add(r23250, r23233, r23249, MPFR_RNDN);
        mpfr_sub(r23251, r23248, r23250, MPFR_RNDN);
        mpfr_sqrt(r23252, r23251, MPFR_RNDN);
        mpfr_atan2(r23253, r23247, r23252, MPFR_RNDN);
        mpfr_mul(r23254, r23227, r23253, MPFR_RNDN);
        mpfr_mul(r23255, r23226, r23254, MPFR_RNDN);
        return mpfr_get_d(r23255, MPFR_RNDN);
}

