#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 r22995 = 1;
        float r22996 = k;
        float r22997 = sqrt(r22996);
        float r22998 = r22995 / r22997;
        float r22999 = 2;
        float r23000 = atan2(1.0, 0.0);
        float r23001 = r22999 * r23000;
        float r23002 = n;
        float r23003 = r23001 * r23002;
        float r23004 = r22995 - r22996;
        float r23005 = r23004 / r22999;
        float r23006 = pow(r23003, r23005);
        float r23007 = r22998 * r23006;
        return r23007;
}

double f_id(double k, double n) {
        double r23008 = 1;
        double r23009 = k;
        double r23010 = sqrt(r23009);
        double r23011 = r23008 / r23010;
        double r23012 = 2;
        double r23013 = atan2(1.0, 0.0);
        double r23014 = r23012 * r23013;
        double r23015 = n;
        double r23016 = r23014 * r23015;
        double r23017 = r23008 - r23009;
        double r23018 = r23017 / r23012;
        double r23019 = pow(r23016, r23018);
        double r23020 = r23011 * r23019;
        return r23020;
}


double f_of(float k, float n) {
        float r23021 = n;
        float r23022 = atan2(1.0, 0.0);
        float r23023 = 2;
        float r23024 = r23022 * r23023;
        float r23025 = r23021 * r23024;
        float r23026 = 1;
        float r23027 = r23026 / r23023;
        float r23028 = pow(r23025, r23027);
        float r23029 = k;
        float r23030 = sqrt(r23029);
        float r23031 = r23029 / r23023;
        float r23032 = pow(r23025, r23031);
        float r23033 = r23030 * r23032;
        float r23034 = r23028 / r23033;
        return r23034;
}

double f_od(double k, double n) {
        double r23035 = n;
        double r23036 = atan2(1.0, 0.0);
        double r23037 = 2;
        double r23038 = r23036 * r23037;
        double r23039 = r23035 * r23038;
        double r23040 = 1;
        double r23041 = r23040 / r23037;
        double r23042 = pow(r23039, r23041);
        double r23043 = k;
        double r23044 = sqrt(r23043);
        double r23045 = r23043 / r23037;
        double r23046 = pow(r23039, r23045);
        double r23047 = r23044 * r23046;
        double r23048 = r23042 / r23047;
        return r23048;
}

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 r23049, r23050, r23051, r23052, r23053, r23054, r23055, r23056, r23057, r23058, r23059, r23060, r23061;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init_set_str(r23049, "1", 10, MPFR_RNDN);
        mpfr_init(r23050);
        mpfr_init(r23051);
        mpfr_init(r23052);
        mpfr_init_set_str(r23053, "2", 10, MPFR_RNDN);
        mpfr_init(r23054);
        mpfr_init(r23055);
        mpfr_init(r23056);
        mpfr_init(r23057);
        mpfr_init(r23058);
        mpfr_init(r23059);
        mpfr_init(r23060);
        mpfr_init(r23061);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r23050, k, MPFR_RNDN);
        mpfr_sqrt(r23051, r23050, MPFR_RNDN);
        mpfr_div(r23052, r23049, r23051, MPFR_RNDN);
        ;
        mpfr_const_pi(r23054, MPFR_RNDN);
        mpfr_mul(r23055, r23053, r23054, MPFR_RNDN);
        mpfr_set_d(r23056, n, MPFR_RNDN);
        mpfr_mul(r23057, r23055, r23056, MPFR_RNDN);
        mpfr_sub(r23058, r23049, r23050, MPFR_RNDN);
        mpfr_div(r23059, r23058, r23053, MPFR_RNDN);
        mpfr_pow(r23060, r23057, r23059, MPFR_RNDN);
        mpfr_mul(r23061, r23052, r23060, MPFR_RNDN);
        return mpfr_get_d(r23061, MPFR_RNDN);
}

static mpfr_t r23062, r23063, r23064, r23065, r23066, r23067, r23068, r23069, r23070, r23071, r23072, r23073, r23074, r23075;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23062);
        mpfr_init(r23063);
        mpfr_init_set_str(r23064, "2", 10, MPFR_RNDN);
        mpfr_init(r23065);
        mpfr_init(r23066);
        mpfr_init_set_str(r23067, "1", 10, MPFR_RNDN);
        mpfr_init(r23068);
        mpfr_init(r23069);
        mpfr_init(r23070);
        mpfr_init(r23071);
        mpfr_init(r23072);
        mpfr_init(r23073);
        mpfr_init(r23074);
        mpfr_init(r23075);
}

double f_fm(double k, double n) {
        mpfr_set_d(r23062, n, MPFR_RNDN);
        mpfr_const_pi(r23063, MPFR_RNDN);
        ;
        mpfr_mul(r23065, r23063, r23064, MPFR_RNDN);
        mpfr_mul(r23066, r23062, r23065, MPFR_RNDN);
        ;
        mpfr_div(r23068, r23067, r23064, MPFR_RNDN);
        mpfr_pow(r23069, r23066, r23068, MPFR_RNDN);
        mpfr_set_d(r23070, k, MPFR_RNDN);
        mpfr_sqrt(r23071, r23070, MPFR_RNDN);
        mpfr_div(r23072, r23070, r23064, MPFR_RNDN);
        mpfr_pow(r23073, r23066, r23072, MPFR_RNDN);
        mpfr_mul(r23074, r23071, r23073, MPFR_RNDN);
        mpfr_div(r23075, r23069, r23074, MPFR_RNDN);
        return mpfr_get_d(r23075, MPFR_RNDN);
}

static mpfr_t r23076, r23077, r23078, r23079, r23080, r23081, r23082, r23083, r23084, r23085, r23086, r23087, r23088, r23089;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23076);
        mpfr_init(r23077);
        mpfr_init_set_str(r23078, "2", 10, MPFR_RNDN);
        mpfr_init(r23079);
        mpfr_init(r23080);
        mpfr_init_set_str(r23081, "1", 10, MPFR_RNDN);
        mpfr_init(r23082);
        mpfr_init(r23083);
        mpfr_init(r23084);
        mpfr_init(r23085);
        mpfr_init(r23086);
        mpfr_init(r23087);
        mpfr_init(r23088);
        mpfr_init(r23089);
}

double f_dm(double k, double n) {
        mpfr_set_d(r23076, n, MPFR_RNDN);
        mpfr_const_pi(r23077, MPFR_RNDN);
        ;
        mpfr_mul(r23079, r23077, r23078, MPFR_RNDN);
        mpfr_mul(r23080, r23076, r23079, MPFR_RNDN);
        ;
        mpfr_div(r23082, r23081, r23078, MPFR_RNDN);
        mpfr_pow(r23083, r23080, r23082, MPFR_RNDN);
        mpfr_set_d(r23084, k, MPFR_RNDN);
        mpfr_sqrt(r23085, r23084, MPFR_RNDN);
        mpfr_div(r23086, r23084, r23078, MPFR_RNDN);
        mpfr_pow(r23087, r23080, r23086, MPFR_RNDN);
        mpfr_mul(r23088, r23085, r23087, MPFR_RNDN);
        mpfr_div(r23089, r23083, r23088, MPFR_RNDN);
        return mpfr_get_d(r23089, MPFR_RNDN);
}