#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 r22979 = 1;
        float r22980 = k;
        float r22981 = sqrt(r22980);
        float r22982 = r22979 / r22981;
        float r22983 = 2;
        float r22984 = atan2(1.0, 0.0);
        float r22985 = r22983 * r22984;
        float r22986 = n;
        float r22987 = r22985 * r22986;
        float r22988 = r22979 - r22980;
        float r22989 = r22988 / r22983;
        float r22990 = pow(r22987, r22989);
        float r22991 = r22982 * r22990;
        return r22991;
}

double f_id(double k, double n) {
        double r22992 = 1;
        double r22993 = k;
        double r22994 = sqrt(r22993);
        double r22995 = r22992 / r22994;
        double r22996 = 2;
        double r22997 = atan2(1.0, 0.0);
        double r22998 = r22996 * r22997;
        double r22999 = n;
        double r23000 = r22998 * r22999;
        double r23001 = r22992 - r22993;
        double r23002 = r23001 / r22996;
        double r23003 = pow(r23000, r23002);
        double r23004 = r22995 * r23003;
        return r23004;
}


double f_of(float k, float n) {
        float r23005 = n;
        float r23006 = atan2(1.0, 0.0);
        float r23007 = 2;
        float r23008 = r23006 * r23007;
        float r23009 = r23005 * r23008;
        float r23010 = 1;
        float r23011 = r23010 / r23007;
        float r23012 = pow(r23009, r23011);
        float r23013 = k;
        float r23014 = sqrt(r23013);
        float r23015 = r23013 / r23007;
        float r23016 = pow(r23009, r23015);
        float r23017 = r23014 * r23016;
        float r23018 = r23012 / r23017;
        return r23018;
}

double f_od(double k, double n) {
        double r23019 = n;
        double r23020 = atan2(1.0, 0.0);
        double r23021 = 2;
        double r23022 = r23020 * r23021;
        double r23023 = r23019 * r23022;
        double r23024 = 1;
        double r23025 = r23024 / r23021;
        double r23026 = pow(r23023, r23025);
        double r23027 = k;
        double r23028 = sqrt(r23027);
        double r23029 = r23027 / r23021;
        double r23030 = pow(r23023, r23029);
        double r23031 = r23028 * r23030;
        double r23032 = r23026 / r23031;
        return r23032;
}

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 r23033, r23034, r23035, r23036, r23037, r23038, r23039, r23040, r23041, r23042, r23043, r23044, r23045;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init_set_str(r23033, "1", 10, MPFR_RNDN);
        mpfr_init(r23034);
        mpfr_init(r23035);
        mpfr_init(r23036);
        mpfr_init_set_str(r23037, "2", 10, MPFR_RNDN);
        mpfr_init(r23038);
        mpfr_init(r23039);
        mpfr_init(r23040);
        mpfr_init(r23041);
        mpfr_init(r23042);
        mpfr_init(r23043);
        mpfr_init(r23044);
        mpfr_init(r23045);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r23034, k, MPFR_RNDN);
        mpfr_sqrt(r23035, r23034, MPFR_RNDN);
        mpfr_div(r23036, r23033, r23035, MPFR_RNDN);
        ;
        mpfr_const_pi(r23038, MPFR_RNDN);
        mpfr_mul(r23039, r23037, r23038, MPFR_RNDN);
        mpfr_set_d(r23040, n, MPFR_RNDN);
        mpfr_mul(r23041, r23039, r23040, MPFR_RNDN);
        mpfr_sub(r23042, r23033, r23034, MPFR_RNDN);
        mpfr_div(r23043, r23042, r23037, MPFR_RNDN);
        mpfr_pow(r23044, r23041, r23043, MPFR_RNDN);
        mpfr_mul(r23045, r23036, r23044, MPFR_RNDN);
        return mpfr_get_d(r23045, MPFR_RNDN);
}

static mpfr_t r23046, r23047, r23048, r23049, r23050, r23051, r23052, r23053, r23054, r23055, r23056, r23057, r23058, r23059;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23046);
        mpfr_init(r23047);
        mpfr_init_set_str(r23048, "2", 10, MPFR_RNDN);
        mpfr_init(r23049);
        mpfr_init(r23050);
        mpfr_init_set_str(r23051, "1", 10, MPFR_RNDN);
        mpfr_init(r23052);
        mpfr_init(r23053);
        mpfr_init(r23054);
        mpfr_init(r23055);
        mpfr_init(r23056);
        mpfr_init(r23057);
        mpfr_init(r23058);
        mpfr_init(r23059);
}

double f_fm(double k, double n) {
        mpfr_set_d(r23046, n, MPFR_RNDN);
        mpfr_const_pi(r23047, MPFR_RNDN);
        ;
        mpfr_mul(r23049, r23047, r23048, MPFR_RNDN);
        mpfr_mul(r23050, r23046, r23049, MPFR_RNDN);
        ;
        mpfr_div(r23052, r23051, r23048, MPFR_RNDN);
        mpfr_pow(r23053, r23050, r23052, MPFR_RNDN);
        mpfr_set_d(r23054, k, MPFR_RNDN);
        mpfr_sqrt(r23055, r23054, MPFR_RNDN);
        mpfr_div(r23056, r23054, r23048, MPFR_RNDN);
        mpfr_pow(r23057, r23050, r23056, MPFR_RNDN);
        mpfr_mul(r23058, r23055, r23057, MPFR_RNDN);
        mpfr_div(r23059, r23053, r23058, MPFR_RNDN);
        return mpfr_get_d(r23059, MPFR_RNDN);
}

static mpfr_t r23060, r23061, r23062, r23063, r23064, r23065, r23066, r23067, r23068, r23069, r23070, r23071, r23072, r23073;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23060);
        mpfr_init(r23061);
        mpfr_init_set_str(r23062, "2", 10, MPFR_RNDN);
        mpfr_init(r23063);
        mpfr_init(r23064);
        mpfr_init_set_str(r23065, "1", 10, MPFR_RNDN);
        mpfr_init(r23066);
        mpfr_init(r23067);
        mpfr_init(r23068);
        mpfr_init(r23069);
        mpfr_init(r23070);
        mpfr_init(r23071);
        mpfr_init(r23072);
        mpfr_init(r23073);
}

double f_dm(double k, double n) {
        mpfr_set_d(r23060, n, MPFR_RNDN);
        mpfr_const_pi(r23061, MPFR_RNDN);
        ;
        mpfr_mul(r23063, r23061, r23062, MPFR_RNDN);
        mpfr_mul(r23064, r23060, r23063, MPFR_RNDN);
        ;
        mpfr_div(r23066, r23065, r23062, MPFR_RNDN);
        mpfr_pow(r23067, r23064, r23066, MPFR_RNDN);
        mpfr_set_d(r23068, k, MPFR_RNDN);
        mpfr_sqrt(r23069, r23068, MPFR_RNDN);
        mpfr_div(r23070, r23068, r23062, MPFR_RNDN);
        mpfr_pow(r23071, r23064, r23070, MPFR_RNDN);
        mpfr_mul(r23072, r23069, r23071, MPFR_RNDN);
        mpfr_div(r23073, r23067, r23072, MPFR_RNDN);
        return mpfr_get_d(r23073, MPFR_RNDN);
}