#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 r21195 = 1;
        float r21196 = k;
        float r21197 = sqrt(r21196);
        float r21198 = r21195 / r21197;
        float r21199 = 2;
        float r21200 = atan2(1.0, 0.0);
        float r21201 = r21199 * r21200;
        float r21202 = n;
        float r21203 = r21201 * r21202;
        float r21204 = r21195 - r21196;
        float r21205 = r21204 / r21199;
        float r21206 = pow(r21203, r21205);
        float r21207 = r21198 * r21206;
        return r21207;
}

double f_id(double k, double n) {
        double r21208 = 1;
        double r21209 = k;
        double r21210 = sqrt(r21209);
        double r21211 = r21208 / r21210;
        double r21212 = 2;
        double r21213 = atan2(1.0, 0.0);
        double r21214 = r21212 * r21213;
        double r21215 = n;
        double r21216 = r21214 * r21215;
        double r21217 = r21208 - r21209;
        double r21218 = r21217 / r21212;
        double r21219 = pow(r21216, r21218);
        double r21220 = r21211 * r21219;
        return r21220;
}


double f_of(float k, float n) {
        float r21221 = n;
        float r21222 = r21221 + r21221;
        float r21223 = atan2(1.0, 0.0);
        float r21224 = r21222 * r21223;
        float r21225 = 1;
        float r21226 = k;
        float r21227 = r21225 - r21226;
        float r21228 = 2;
        float r21229 = r21227 / r21228;
        float r21230 = pow(r21224, r21229);
        float r21231 = sqrt(r21226);
        float r21232 = r21225 / r21231;
        float r21233 = r21230 * r21232;
        return r21233;
}

double f_od(double k, double n) {
        double r21234 = n;
        double r21235 = r21234 + r21234;
        double r21236 = atan2(1.0, 0.0);
        double r21237 = r21235 * r21236;
        double r21238 = 1;
        double r21239 = k;
        double r21240 = r21238 - r21239;
        double r21241 = 2;
        double r21242 = r21240 / r21241;
        double r21243 = pow(r21237, r21242);
        double r21244 = sqrt(r21239);
        double r21245 = r21238 / r21244;
        double r21246 = r21243 * r21245;
        return r21246;
}

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 r21247, r21248, r21249, r21250, r21251, r21252, r21253, r21254, r21255, r21256, r21257, r21258, r21259;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init_set_str(r21247, "1", 10, MPFR_RNDN);
        mpfr_init(r21248);
        mpfr_init(r21249);
        mpfr_init(r21250);
        mpfr_init_set_str(r21251, "2", 10, MPFR_RNDN);
        mpfr_init(r21252);
        mpfr_init(r21253);
        mpfr_init(r21254);
        mpfr_init(r21255);
        mpfr_init(r21256);
        mpfr_init(r21257);
        mpfr_init(r21258);
        mpfr_init(r21259);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r21248, k, MPFR_RNDN);
        mpfr_sqrt(r21249, r21248, MPFR_RNDN);
        mpfr_div(r21250, r21247, r21249, MPFR_RNDN);
        ;
        mpfr_const_pi(r21252, MPFR_RNDN);
        mpfr_mul(r21253, r21251, r21252, MPFR_RNDN);
        mpfr_set_d(r21254, n, MPFR_RNDN);
        mpfr_mul(r21255, r21253, r21254, MPFR_RNDN);
        mpfr_sub(r21256, r21247, r21248, MPFR_RNDN);
        mpfr_div(r21257, r21256, r21251, MPFR_RNDN);
        mpfr_pow(r21258, r21255, r21257, MPFR_RNDN);
        mpfr_mul(r21259, r21250, r21258, MPFR_RNDN);
        return mpfr_get_d(r21259, MPFR_RNDN);
}

static mpfr_t r21260, r21261, r21262, r21263, r21264, r21265, r21266, r21267, r21268, r21269, r21270, r21271, r21272;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r21260);
        mpfr_init(r21261);
        mpfr_init(r21262);
        mpfr_init(r21263);
        mpfr_init_set_str(r21264, "1", 10, MPFR_RNDN);
        mpfr_init(r21265);
        mpfr_init(r21266);
        mpfr_init_set_str(r21267, "2", 10, MPFR_RNDN);
        mpfr_init(r21268);
        mpfr_init(r21269);
        mpfr_init(r21270);
        mpfr_init(r21271);
        mpfr_init(r21272);
}

double f_fm(double k, double n) {
        mpfr_set_d(r21260, n, MPFR_RNDN);
        mpfr_add(r21261, r21260, r21260, MPFR_RNDN);
        mpfr_const_pi(r21262, MPFR_RNDN);
        mpfr_mul(r21263, r21261, r21262, MPFR_RNDN);
        ;
        mpfr_set_d(r21265, k, MPFR_RNDN);
        mpfr_sub(r21266, r21264, r21265, MPFR_RNDN);
        ;
        mpfr_div(r21268, r21266, r21267, MPFR_RNDN);
        mpfr_pow(r21269, r21263, r21268, MPFR_RNDN);
        mpfr_sqrt(r21270, r21265, MPFR_RNDN);
        mpfr_div(r21271, r21264, r21270, MPFR_RNDN);
        mpfr_mul(r21272, r21269, r21271, MPFR_RNDN);
        return mpfr_get_d(r21272, MPFR_RNDN);
}

static mpfr_t r21273, r21274, r21275, r21276, r21277, r21278, r21279, r21280, r21281, r21282, r21283, r21284, r21285;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r21273);
        mpfr_init(r21274);
        mpfr_init(r21275);
        mpfr_init(r21276);
        mpfr_init_set_str(r21277, "1", 10, MPFR_RNDN);
        mpfr_init(r21278);
        mpfr_init(r21279);
        mpfr_init_set_str(r21280, "2", 10, MPFR_RNDN);
        mpfr_init(r21281);
        mpfr_init(r21282);
        mpfr_init(r21283);
        mpfr_init(r21284);
        mpfr_init(r21285);
}

double f_dm(double k, double n) {
        mpfr_set_d(r21273, n, MPFR_RNDN);
        mpfr_add(r21274, r21273, r21273, MPFR_RNDN);
        mpfr_const_pi(r21275, MPFR_RNDN);
        mpfr_mul(r21276, r21274, r21275, MPFR_RNDN);
        ;
        mpfr_set_d(r21278, k, MPFR_RNDN);
        mpfr_sub(r21279, r21277, r21278, MPFR_RNDN);
        ;
        mpfr_div(r21281, r21279, r21280, MPFR_RNDN);
        mpfr_pow(r21282, r21276, r21281, MPFR_RNDN);
        mpfr_sqrt(r21283, r21278, MPFR_RNDN);
        mpfr_div(r21284, r21277, r21283, MPFR_RNDN);
        mpfr_mul(r21285, r21282, r21284, MPFR_RNDN);
        return mpfr_get_d(r21285, MPFR_RNDN);
}