#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 r22989 = 1;
        float r22990 = k;
        float r22991 = sqrt(r22990);
        float r22992 = r22989 / r22991;
        float r22993 = 2;
        float r22994 = atan2(1.0, 0.0);
        float r22995 = r22993 * r22994;
        float r22996 = n;
        float r22997 = r22995 * r22996;
        float r22998 = r22989 - r22990;
        float r22999 = r22998 / r22993;
        float r23000 = pow(r22997, r22999);
        float r23001 = r22992 * r23000;
        return r23001;
}

double f_id(double k, double n) {
        double r23002 = 1;
        double r23003 = k;
        double r23004 = sqrt(r23003);
        double r23005 = r23002 / r23004;
        double r23006 = 2;
        double r23007 = atan2(1.0, 0.0);
        double r23008 = r23006 * r23007;
        double r23009 = n;
        double r23010 = r23008 * r23009;
        double r23011 = r23002 - r23003;
        double r23012 = r23011 / r23006;
        double r23013 = pow(r23010, r23012);
        double r23014 = r23005 * r23013;
        return r23014;
}


double f_of(float k, float n) {
        float r23015 = n;
        float r23016 = atan2(1.0, 0.0);
        float r23017 = 2;
        float r23018 = r23016 * r23017;
        float r23019 = r23015 * r23018;
        float r23020 = 1;
        float r23021 = r23020 / r23017;
        float r23022 = pow(r23019, r23021);
        float r23023 = k;
        float r23024 = sqrt(r23023);
        float r23025 = r23023 / r23017;
        float r23026 = pow(r23019, r23025);
        float r23027 = r23024 * r23026;
        float r23028 = r23022 / r23027;
        return r23028;
}

double f_od(double k, double n) {
        double r23029 = n;
        double r23030 = atan2(1.0, 0.0);
        double r23031 = 2;
        double r23032 = r23030 * r23031;
        double r23033 = r23029 * r23032;
        double r23034 = 1;
        double r23035 = r23034 / r23031;
        double r23036 = pow(r23033, r23035);
        double r23037 = k;
        double r23038 = sqrt(r23037);
        double r23039 = r23037 / r23031;
        double r23040 = pow(r23033, r23039);
        double r23041 = r23038 * r23040;
        double r23042 = r23036 / r23041;
        return r23042;
}

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 r23043, r23044, r23045, r23046, r23047, r23048, r23049, r23050, r23051, r23052, r23053, r23054, r23055;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(4112);
        mpfr_init_set_str(r23043, "1", 10, MPFR_RNDN);
        mpfr_init(r23044);
        mpfr_init(r23045);
        mpfr_init(r23046);
        mpfr_init_set_str(r23047, "2", 10, MPFR_RNDN);
        mpfr_init(r23048);
        mpfr_init(r23049);
        mpfr_init(r23050);
        mpfr_init(r23051);
        mpfr_init(r23052);
        mpfr_init(r23053);
        mpfr_init(r23054);
        mpfr_init(r23055);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r23044, k, MPFR_RNDN);
        mpfr_sqrt(r23045, r23044, MPFR_RNDN);
        mpfr_div(r23046, r23043, r23045, MPFR_RNDN);
        ;
        mpfr_const_pi(r23048, MPFR_RNDN);
        mpfr_mul(r23049, r23047, r23048, MPFR_RNDN);
        mpfr_set_d(r23050, n, MPFR_RNDN);
        mpfr_mul(r23051, r23049, r23050, MPFR_RNDN);
        mpfr_sub(r23052, r23043, r23044, MPFR_RNDN);
        mpfr_div(r23053, r23052, r23047, MPFR_RNDN);
        mpfr_pow(r23054, r23051, r23053, MPFR_RNDN);
        mpfr_mul(r23055, r23046, r23054, MPFR_RNDN);
        return mpfr_get_d(r23055, MPFR_RNDN);
}

static mpfr_t r23056, r23057, r23058, r23059, r23060, r23061, r23062, r23063, r23064, r23065, r23066, r23067, r23068, r23069;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(4112);
        mpfr_init(r23056);
        mpfr_init(r23057);
        mpfr_init_set_str(r23058, "2", 10, MPFR_RNDN);
        mpfr_init(r23059);
        mpfr_init(r23060);
        mpfr_init_set_str(r23061, "1", 10, MPFR_RNDN);
        mpfr_init(r23062);
        mpfr_init(r23063);
        mpfr_init(r23064);
        mpfr_init(r23065);
        mpfr_init(r23066);
        mpfr_init(r23067);
        mpfr_init(r23068);
        mpfr_init(r23069);
}

double f_fm(double k, double n) {
        mpfr_set_d(r23056, n, MPFR_RNDN);
        mpfr_const_pi(r23057, MPFR_RNDN);
        ;
        mpfr_mul(r23059, r23057, r23058, MPFR_RNDN);
        mpfr_mul(r23060, r23056, r23059, MPFR_RNDN);
        ;
        mpfr_div(r23062, r23061, r23058, MPFR_RNDN);
        mpfr_pow(r23063, r23060, r23062, MPFR_RNDN);
        mpfr_set_d(r23064, k, MPFR_RNDN);
        mpfr_sqrt(r23065, r23064, MPFR_RNDN);
        mpfr_div(r23066, r23064, r23058, MPFR_RNDN);
        mpfr_pow(r23067, r23060, r23066, MPFR_RNDN);
        mpfr_mul(r23068, r23065, r23067, MPFR_RNDN);
        mpfr_div(r23069, r23063, r23068, MPFR_RNDN);
        return mpfr_get_d(r23069, MPFR_RNDN);
}

static mpfr_t r23070, r23071, r23072, r23073, r23074, r23075, r23076, r23077, r23078, r23079, r23080, r23081, r23082, r23083;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(4112);
        mpfr_init(r23070);
        mpfr_init(r23071);
        mpfr_init_set_str(r23072, "2", 10, MPFR_RNDN);
        mpfr_init(r23073);
        mpfr_init(r23074);
        mpfr_init_set_str(r23075, "1", 10, MPFR_RNDN);
        mpfr_init(r23076);
        mpfr_init(r23077);
        mpfr_init(r23078);
        mpfr_init(r23079);
        mpfr_init(r23080);
        mpfr_init(r23081);
        mpfr_init(r23082);
        mpfr_init(r23083);
}

double f_dm(double k, double n) {
        mpfr_set_d(r23070, n, MPFR_RNDN);
        mpfr_const_pi(r23071, MPFR_RNDN);
        ;
        mpfr_mul(r23073, r23071, r23072, MPFR_RNDN);
        mpfr_mul(r23074, r23070, r23073, MPFR_RNDN);
        ;
        mpfr_div(r23076, r23075, r23072, MPFR_RNDN);
        mpfr_pow(r23077, r23074, r23076, MPFR_RNDN);
        mpfr_set_d(r23078, k, MPFR_RNDN);
        mpfr_sqrt(r23079, r23078, MPFR_RNDN);
        mpfr_div(r23080, r23078, r23072, MPFR_RNDN);
        mpfr_pow(r23081, r23074, r23080, MPFR_RNDN);
        mpfr_mul(r23082, r23079, r23081, MPFR_RNDN);
        mpfr_div(r23083, r23077, r23082, MPFR_RNDN);
        return mpfr_get_d(r23083, MPFR_RNDN);
}