#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 r23005 = 1;
        float r23006 = k;
        float r23007 = sqrt(r23006);
        float r23008 = r23005 / r23007;
        float r23009 = 2;
        float r23010 = atan2(1.0, 0.0);
        float r23011 = r23009 * r23010;
        float r23012 = n;
        float r23013 = r23011 * r23012;
        float r23014 = r23005 - r23006;
        float r23015 = r23014 / r23009;
        float r23016 = pow(r23013, r23015);
        float r23017 = r23008 * r23016;
        return r23017;
}

double f_id(double k, double n) {
        double r23018 = 1;
        double r23019 = k;
        double r23020 = sqrt(r23019);
        double r23021 = r23018 / r23020;
        double r23022 = 2;
        double r23023 = atan2(1.0, 0.0);
        double r23024 = r23022 * r23023;
        double r23025 = n;
        double r23026 = r23024 * r23025;
        double r23027 = r23018 - r23019;
        double r23028 = r23027 / r23022;
        double r23029 = pow(r23026, r23028);
        double r23030 = r23021 * r23029;
        return r23030;
}


double f_of(float k, float n) {
        float r23031 = 1;
        float r23032 = k;
        float r23033 = sqrt(r23032);
        float r23034 = r23031 / r23033;
        float r23035 = 2;
        float r23036 = atan2(1.0, 0.0);
        float r23037 = r23035 * r23036;
        float r23038 = n;
        float r23039 = r23037 * r23038;
        float r23040 = r23031 - r23032;
        float r23041 = r23040 / r23035;
        float r23042 = pow(r23039, r23041);
        float r23043 = r23034 * r23042;
        return r23043;
}

double f_od(double k, double n) {
        double r23044 = 1;
        double r23045 = k;
        double r23046 = sqrt(r23045);
        double r23047 = r23044 / r23046;
        double r23048 = 2;
        double r23049 = atan2(1.0, 0.0);
        double r23050 = r23048 * r23049;
        double r23051 = n;
        double r23052 = r23050 * r23051;
        double r23053 = r23044 - r23045;
        double r23054 = r23053 / r23048;
        double r23055 = pow(r23052, r23054);
        double r23056 = r23047 * r23055;
        return r23056;
}

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

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init_set_str(r23057, "1", 10, MPFR_RNDN);
        mpfr_init(r23058);
        mpfr_init(r23059);
        mpfr_init(r23060);
        mpfr_init_set_str(r23061, "2", 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_im(double k, double n) {
        ;
        mpfr_set_d(r23058, k, MPFR_RNDN);
        mpfr_sqrt(r23059, r23058, MPFR_RNDN);
        mpfr_div(r23060, r23057, r23059, MPFR_RNDN);
        ;
        mpfr_const_pi(r23062, MPFR_RNDN);
        mpfr_mul(r23063, r23061, r23062, MPFR_RNDN);
        mpfr_set_d(r23064, n, MPFR_RNDN);
        mpfr_mul(r23065, r23063, r23064, MPFR_RNDN);
        mpfr_sub(r23066, r23057, r23058, MPFR_RNDN);
        mpfr_div(r23067, r23066, r23061, MPFR_RNDN);
        mpfr_pow(r23068, r23065, r23067, MPFR_RNDN);
        mpfr_mul(r23069, r23060, 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;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init_set_str(r23070, "1", 10, MPFR_RNDN);
        mpfr_init(r23071);
        mpfr_init(r23072);
        mpfr_init(r23073);
        mpfr_init_set_str(r23074, "2", 10, MPFR_RNDN);
        mpfr_init(r23075);
        mpfr_init(r23076);
        mpfr_init(r23077);
        mpfr_init(r23078);
        mpfr_init(r23079);
        mpfr_init(r23080);
        mpfr_init(r23081);
        mpfr_init(r23082);
}

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

static mpfr_t r23083, r23084, r23085, r23086, r23087, r23088, r23089, r23090, r23091, r23092, r23093, r23094, r23095;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init_set_str(r23083, "1", 10, MPFR_RNDN);
        mpfr_init(r23084);
        mpfr_init(r23085);
        mpfr_init(r23086);
        mpfr_init_set_str(r23087, "2", 10, MPFR_RNDN);
        mpfr_init(r23088);
        mpfr_init(r23089);
        mpfr_init(r23090);
        mpfr_init(r23091);
        mpfr_init(r23092);
        mpfr_init(r23093);
        mpfr_init(r23094);
        mpfr_init(r23095);
}

double f_dm(double k, double n) {
        ;
        mpfr_set_d(r23084, k, MPFR_RNDN);
        mpfr_sqrt(r23085, r23084, MPFR_RNDN);
        mpfr_div(r23086, r23083, r23085, MPFR_RNDN);
        ;
        mpfr_const_pi(r23088, MPFR_RNDN);
        mpfr_mul(r23089, r23087, r23088, MPFR_RNDN);
        mpfr_set_d(r23090, n, MPFR_RNDN);
        mpfr_mul(r23091, r23089, r23090, MPFR_RNDN);
        mpfr_sub(r23092, r23083, r23084, MPFR_RNDN);
        mpfr_div(r23093, r23092, r23087, MPFR_RNDN);
        mpfr_pow(r23094, r23091, r23093, MPFR_RNDN);
        mpfr_mul(r23095, r23086, r23094, MPFR_RNDN);
        return mpfr_get_d(r23095, MPFR_RNDN);
}