#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 r25182 = 1;
        float r25183 = k;
        float r25184 = sqrt(r25183);
        float r25185 = r25182 / r25184;
        float r25186 = 2;
        float r25187 = atan2(1.0, 0.0);
        float r25188 = r25186 * r25187;
        float r25189 = n;
        float r25190 = r25188 * r25189;
        float r25191 = r25182 - r25183;
        float r25192 = r25191 / r25186;
        float r25193 = pow(r25190, r25192);
        float r25194 = r25185 * r25193;
        return r25194;
}

double f_id(double k, double n) {
        double r25195 = 1;
        double r25196 = k;
        double r25197 = sqrt(r25196);
        double r25198 = r25195 / r25197;
        double r25199 = 2;
        double r25200 = atan2(1.0, 0.0);
        double r25201 = r25199 * r25200;
        double r25202 = n;
        double r25203 = r25201 * r25202;
        double r25204 = r25195 - r25196;
        double r25205 = r25204 / r25199;
        double r25206 = pow(r25203, r25205);
        double r25207 = r25198 * r25206;
        return r25207;
}


double f_of(float k, float n) {
        float r25208 = n;
        float r25209 = atan2(1.0, 0.0);
        float r25210 = 2;
        float r25211 = r25209 * r25210;
        float r25212 = r25208 * r25211;
        float r25213 = 1;
        float r25214 = r25213 / r25210;
        float r25215 = pow(r25212, r25214);
        float r25216 = k;
        float r25217 = r25216 / r25210;
        float r25218 = pow(r25212, r25217);
        float r25219 = r25215 / r25218;
        float r25220 = sqrt(r25216);
        float r25221 = r25219 / r25220;
        return r25221;
}

double f_od(double k, double n) {
        double r25222 = n;
        double r25223 = atan2(1.0, 0.0);
        double r25224 = 2;
        double r25225 = r25223 * r25224;
        double r25226 = r25222 * r25225;
        double r25227 = 1;
        double r25228 = r25227 / r25224;
        double r25229 = pow(r25226, r25228);
        double r25230 = k;
        double r25231 = r25230 / r25224;
        double r25232 = pow(r25226, r25231);
        double r25233 = r25229 / r25232;
        double r25234 = sqrt(r25230);
        double r25235 = r25233 / r25234;
        return r25235;
}

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 r25236, r25237, r25238, r25239, r25240, r25241, r25242, r25243, r25244, r25245, r25246, r25247, r25248;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init_set_str(r25236, "1", 10, MPFR_RNDN);
        mpfr_init(r25237);
        mpfr_init(r25238);
        mpfr_init(r25239);
        mpfr_init_set_str(r25240, "2", 10, MPFR_RNDN);
        mpfr_init(r25241);
        mpfr_init(r25242);
        mpfr_init(r25243);
        mpfr_init(r25244);
        mpfr_init(r25245);
        mpfr_init(r25246);
        mpfr_init(r25247);
        mpfr_init(r25248);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r25237, k, MPFR_RNDN);
        mpfr_sqrt(r25238, r25237, MPFR_RNDN);
        mpfr_div(r25239, r25236, r25238, MPFR_RNDN);
        ;
        mpfr_const_pi(r25241, MPFR_RNDN);
        mpfr_mul(r25242, r25240, r25241, MPFR_RNDN);
        mpfr_set_d(r25243, n, MPFR_RNDN);
        mpfr_mul(r25244, r25242, r25243, MPFR_RNDN);
        mpfr_sub(r25245, r25236, r25237, MPFR_RNDN);
        mpfr_div(r25246, r25245, r25240, MPFR_RNDN);
        mpfr_pow(r25247, r25244, r25246, MPFR_RNDN);
        mpfr_mul(r25248, r25239, r25247, MPFR_RNDN);
        return mpfr_get_d(r25248, MPFR_RNDN);
}

static mpfr_t r25249, r25250, r25251, r25252, r25253, r25254, r25255, r25256, r25257, r25258, r25259, r25260, r25261, r25262;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r25249);
        mpfr_init(r25250);
        mpfr_init_set_str(r25251, "2", 10, MPFR_RNDN);
        mpfr_init(r25252);
        mpfr_init(r25253);
        mpfr_init_set_str(r25254, "1", 10, MPFR_RNDN);
        mpfr_init(r25255);
        mpfr_init(r25256);
        mpfr_init(r25257);
        mpfr_init(r25258);
        mpfr_init(r25259);
        mpfr_init(r25260);
        mpfr_init(r25261);
        mpfr_init(r25262);
}

double f_fm(double k, double n) {
        mpfr_set_d(r25249, n, MPFR_RNDN);
        mpfr_const_pi(r25250, MPFR_RNDN);
        ;
        mpfr_mul(r25252, r25250, r25251, MPFR_RNDN);
        mpfr_mul(r25253, r25249, r25252, MPFR_RNDN);
        ;
        mpfr_div(r25255, r25254, r25251, MPFR_RNDN);
        mpfr_pow(r25256, r25253, r25255, MPFR_RNDN);
        mpfr_set_d(r25257, k, MPFR_RNDN);
        mpfr_div(r25258, r25257, r25251, MPFR_RNDN);
        mpfr_pow(r25259, r25253, r25258, MPFR_RNDN);
        mpfr_div(r25260, r25256, r25259, MPFR_RNDN);
        mpfr_sqrt(r25261, r25257, MPFR_RNDN);
        mpfr_div(r25262, r25260, r25261, MPFR_RNDN);
        return mpfr_get_d(r25262, MPFR_RNDN);
}

static mpfr_t r25263, r25264, r25265, r25266, r25267, r25268, r25269, r25270, r25271, r25272, r25273, r25274, r25275, r25276;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r25263);
        mpfr_init(r25264);
        mpfr_init_set_str(r25265, "2", 10, MPFR_RNDN);
        mpfr_init(r25266);
        mpfr_init(r25267);
        mpfr_init_set_str(r25268, "1", 10, MPFR_RNDN);
        mpfr_init(r25269);
        mpfr_init(r25270);
        mpfr_init(r25271);
        mpfr_init(r25272);
        mpfr_init(r25273);
        mpfr_init(r25274);
        mpfr_init(r25275);
        mpfr_init(r25276);
}

double f_dm(double k, double n) {
        mpfr_set_d(r25263, n, MPFR_RNDN);
        mpfr_const_pi(r25264, MPFR_RNDN);
        ;
        mpfr_mul(r25266, r25264, r25265, MPFR_RNDN);
        mpfr_mul(r25267, r25263, r25266, MPFR_RNDN);
        ;
        mpfr_div(r25269, r25268, r25265, MPFR_RNDN);
        mpfr_pow(r25270, r25267, r25269, MPFR_RNDN);
        mpfr_set_d(r25271, k, MPFR_RNDN);
        mpfr_div(r25272, r25271, r25265, MPFR_RNDN);
        mpfr_pow(r25273, r25267, r25272, MPFR_RNDN);
        mpfr_div(r25274, r25270, r25273, MPFR_RNDN);
        mpfr_sqrt(r25275, r25271, MPFR_RNDN);
        mpfr_div(r25276, r25274, r25275, MPFR_RNDN);
        return mpfr_get_d(r25276, MPFR_RNDN);
}