#include <tgmath.h>
#include <gmp.h>
#include <mpfr.h>
#include <stdio.h>
#include <stdbool.h>

char *name = "Migdal et al, Equation (51)";

double f_if(float k, float n) {
        float r21144 = 1;
        float r21145 = k;
        float r21146 = sqrt(r21145);
        float r21147 = r21144 / r21146;
        float r21148 = 2;
        float r21149 = atan2(1.0, 0.0);
        float r21150 = r21148 * r21149;
        float r21151 = n;
        float r21152 = r21150 * r21151;
        float r21153 = r21144 - r21145;
        float r21154 = r21153 / r21148;
        float r21155 = pow(r21152, r21154);
        float r21156 = r21147 * r21155;
        return r21156;
}

double f_id(double k, double n) {
        double r21157 = 1;
        double r21158 = k;
        double r21159 = sqrt(r21158);
        double r21160 = r21157 / r21159;
        double r21161 = 2;
        double r21162 = atan2(1.0, 0.0);
        double r21163 = r21161 * r21162;
        double r21164 = n;
        double r21165 = r21163 * r21164;
        double r21166 = r21157 - r21158;
        double r21167 = r21166 / r21161;
        double r21168 = pow(r21165, r21167);
        double r21169 = r21160 * r21168;
        return r21169;
}


double f_of(float k, float n) {
        float r21170 = n;
        float r21171 = r21170 + r21170;
        float r21172 = atan2(1.0, 0.0);
        float r21173 = r21171 * r21172;
        float r21174 = 1;
        float r21175 = 2;
        float r21176 = r21174 / r21175;
        float r21177 = pow(r21173, r21176);
        float r21178 = k;
        float r21179 = sqrt(r21178);
        float r21180 = r21178 / r21175;
        float r21181 = pow(r21173, r21180);
        float r21182 = r21179 * r21181;
        float r21183 = r21177 / r21182;
        return r21183;
}

double f_od(double k, double n) {
        double r21184 = n;
        double r21185 = r21184 + r21184;
        double r21186 = atan2(1.0, 0.0);
        double r21187 = r21185 * r21186;
        double r21188 = 1;
        double r21189 = 2;
        double r21190 = r21188 / r21189;
        double r21191 = pow(r21187, r21190);
        double r21192 = k;
        double r21193 = sqrt(r21192);
        double r21194 = r21192 / r21189;
        double r21195 = pow(r21187, r21194);
        double r21196 = r21193 * r21195;
        double r21197 = r21191 / r21196;
        return r21197;
}

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 r21198, r21199, r21200, r21201, r21202, r21203, r21204, r21205, r21206, r21207, r21208, r21209, r21210;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init_set_str(r21198, "1", 10, MPFR_RNDN);
        mpfr_init(r21199);
        mpfr_init(r21200);
        mpfr_init(r21201);
        mpfr_init_set_str(r21202, "2", 10, MPFR_RNDN);
        mpfr_init(r21203);
        mpfr_init(r21204);
        mpfr_init(r21205);
        mpfr_init(r21206);
        mpfr_init(r21207);
        mpfr_init(r21208);
        mpfr_init(r21209);
        mpfr_init(r21210);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r21199, k, MPFR_RNDN);
        mpfr_sqrt(r21200, r21199, MPFR_RNDN);
        mpfr_div(r21201, r21198, r21200, MPFR_RNDN);
        ;
        mpfr_const_pi(r21203, MPFR_RNDN);
        mpfr_mul(r21204, r21202, r21203, MPFR_RNDN);
        mpfr_set_d(r21205, n, MPFR_RNDN);
        mpfr_mul(r21206, r21204, r21205, MPFR_RNDN);
        mpfr_sub(r21207, r21198, r21199, MPFR_RNDN);
        mpfr_div(r21208, r21207, r21202, MPFR_RNDN);
        mpfr_pow(r21209, r21206, r21208, MPFR_RNDN);
        mpfr_mul(r21210, r21201, r21209, MPFR_RNDN);
        return mpfr_get_d(r21210, MPFR_RNDN);
}

static mpfr_t r21211, r21212, r21213, r21214, r21215, r21216, r21217, r21218, r21219, r21220, r21221, r21222, r21223, r21224;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r21211);
        mpfr_init(r21212);
        mpfr_init(r21213);
        mpfr_init(r21214);
        mpfr_init_set_str(r21215, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r21216, "2", 10, MPFR_RNDN);
        mpfr_init(r21217);
        mpfr_init(r21218);
        mpfr_init(r21219);
        mpfr_init(r21220);
        mpfr_init(r21221);
        mpfr_init(r21222);
        mpfr_init(r21223);
        mpfr_init(r21224);
}

double f_fm(double k, double n) {
        mpfr_set_d(r21211, n, MPFR_RNDN);
        mpfr_add(r21212, r21211, r21211, MPFR_RNDN);
        mpfr_const_pi(r21213, MPFR_RNDN);
        mpfr_mul(r21214, r21212, r21213, MPFR_RNDN);
        ;
        ;
        mpfr_div(r21217, r21215, r21216, MPFR_RNDN);
        mpfr_pow(r21218, r21214, r21217, MPFR_RNDN);
        mpfr_set_d(r21219, k, MPFR_RNDN);
        mpfr_sqrt(r21220, r21219, MPFR_RNDN);
        mpfr_div(r21221, r21219, r21216, MPFR_RNDN);
        mpfr_pow(r21222, r21214, r21221, MPFR_RNDN);
        mpfr_mul(r21223, r21220, r21222, MPFR_RNDN);
        mpfr_div(r21224, r21218, r21223, MPFR_RNDN);
        return mpfr_get_d(r21224, MPFR_RNDN);
}

static mpfr_t r21225, r21226, r21227, r21228, r21229, r21230, r21231, r21232, r21233, r21234, r21235, r21236, r21237, r21238;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r21225);
        mpfr_init(r21226);
        mpfr_init(r21227);
        mpfr_init(r21228);
        mpfr_init_set_str(r21229, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r21230, "2", 10, MPFR_RNDN);
        mpfr_init(r21231);
        mpfr_init(r21232);
        mpfr_init(r21233);
        mpfr_init(r21234);
        mpfr_init(r21235);
        mpfr_init(r21236);
        mpfr_init(r21237);
        mpfr_init(r21238);
}

double f_dm(double k, double n) {
        mpfr_set_d(r21225, n, MPFR_RNDN);
        mpfr_add(r21226, r21225, r21225, MPFR_RNDN);
        mpfr_const_pi(r21227, MPFR_RNDN);
        mpfr_mul(r21228, r21226, r21227, MPFR_RNDN);
        ;
        ;
        mpfr_div(r21231, r21229, r21230, MPFR_RNDN);
        mpfr_pow(r21232, r21228, r21231, MPFR_RNDN);
        mpfr_set_d(r21233, k, MPFR_RNDN);
        mpfr_sqrt(r21234, r21233, MPFR_RNDN);
        mpfr_div(r21235, r21233, r21230, MPFR_RNDN);
        mpfr_pow(r21236, r21228, r21235, MPFR_RNDN);
        mpfr_mul(r21237, r21234, r21236, MPFR_RNDN);
        mpfr_div(r21238, r21232, r21237, MPFR_RNDN);
        return mpfr_get_d(r21238, MPFR_RNDN);
}