#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 r22984 = 1;
        float r22985 = k;
        float r22986 = sqrt(r22985);
        float r22987 = r22984 / r22986;
        float r22988 = 2;
        float r22989 = atan2(1.0, 0.0);
        float r22990 = r22988 * r22989;
        float r22991 = n;
        float r22992 = r22990 * r22991;
        float r22993 = r22984 - r22985;
        float r22994 = r22993 / r22988;
        float r22995 = pow(r22992, r22994);
        float r22996 = r22987 * r22995;
        return r22996;
}

double f_id(double k, double n) {
        double r22997 = 1;
        double r22998 = k;
        double r22999 = sqrt(r22998);
        double r23000 = r22997 / r22999;
        double r23001 = 2;
        double r23002 = atan2(1.0, 0.0);
        double r23003 = r23001 * r23002;
        double r23004 = n;
        double r23005 = r23003 * r23004;
        double r23006 = r22997 - r22998;
        double r23007 = r23006 / r23001;
        double r23008 = pow(r23005, r23007);
        double r23009 = r23000 * r23008;
        return r23009;
}


double f_of(float k, float n) {
        float r23010 = 1;
        float r23011 = k;
        float r23012 = sqrt(r23011);
        float r23013 = n;
        float r23014 = atan2(1.0, 0.0);
        float r23015 = 2;
        float r23016 = r23014 * r23015;
        float r23017 = r23013 * r23016;
        float r23018 = r23010 - r23011;
        float r23019 = r23018 / r23015;
        float r23020 = pow(r23017, r23019);
        float r23021 = r23012 / r23020;
        float r23022 = r23010 / r23021;
        return r23022;
}

double f_od(double k, double n) {
        double r23023 = 1;
        double r23024 = k;
        double r23025 = sqrt(r23024);
        double r23026 = n;
        double r23027 = atan2(1.0, 0.0);
        double r23028 = 2;
        double r23029 = r23027 * r23028;
        double r23030 = r23026 * r23029;
        double r23031 = r23023 - r23024;
        double r23032 = r23031 / r23028;
        double r23033 = pow(r23030, r23032);
        double r23034 = r23025 / r23033;
        double r23035 = r23023 / r23034;
        return r23035;
}

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 r23036, r23037, r23038, r23039, r23040, r23041, r23042, r23043, r23044, r23045, r23046, r23047, r23048;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init_set_str(r23036, "1", 10, MPFR_RNDN);
        mpfr_init(r23037);
        mpfr_init(r23038);
        mpfr_init(r23039);
        mpfr_init_set_str(r23040, "2", 10, MPFR_RNDN);
        mpfr_init(r23041);
        mpfr_init(r23042);
        mpfr_init(r23043);
        mpfr_init(r23044);
        mpfr_init(r23045);
        mpfr_init(r23046);
        mpfr_init(r23047);
        mpfr_init(r23048);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r23037, k, MPFR_RNDN);
        mpfr_sqrt(r23038, r23037, MPFR_RNDN);
        mpfr_div(r23039, r23036, r23038, MPFR_RNDN);
        ;
        mpfr_const_pi(r23041, MPFR_RNDN);
        mpfr_mul(r23042, r23040, r23041, MPFR_RNDN);
        mpfr_set_d(r23043, n, MPFR_RNDN);
        mpfr_mul(r23044, r23042, r23043, MPFR_RNDN);
        mpfr_sub(r23045, r23036, r23037, MPFR_RNDN);
        mpfr_div(r23046, r23045, r23040, MPFR_RNDN);
        mpfr_pow(r23047, r23044, r23046, MPFR_RNDN);
        mpfr_mul(r23048, r23039, r23047, MPFR_RNDN);
        return mpfr_get_d(r23048, MPFR_RNDN);
}

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

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init_set_str(r23049, "1", 10, MPFR_RNDN);
        mpfr_init(r23050);
        mpfr_init(r23051);
        mpfr_init(r23052);
        mpfr_init(r23053);
        mpfr_init_set_str(r23054, "2", 10, MPFR_RNDN);
        mpfr_init(r23055);
        mpfr_init(r23056);
        mpfr_init(r23057);
        mpfr_init(r23058);
        mpfr_init(r23059);
        mpfr_init(r23060);
        mpfr_init(r23061);
}

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

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init_set_str(r23062, "1", 10, MPFR_RNDN);
        mpfr_init(r23063);
        mpfr_init(r23064);
        mpfr_init(r23065);
        mpfr_init(r23066);
        mpfr_init_set_str(r23067, "2", 10, MPFR_RNDN);
        mpfr_init(r23068);
        mpfr_init(r23069);
        mpfr_init(r23070);
        mpfr_init(r23071);
        mpfr_init(r23072);
        mpfr_init(r23073);
        mpfr_init(r23074);
}

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