#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 r22712 = 1;
        float r22713 = k;
        float r22714 = sqrt(r22713);
        float r22715 = r22712 / r22714;
        float r22716 = 2;
        float r22717 = atan2(1.0, 0.0);
        float r22718 = r22716 * r22717;
        float r22719 = n;
        float r22720 = r22718 * r22719;
        float r22721 = r22712 - r22713;
        float r22722 = r22721 / r22716;
        float r22723 = pow(r22720, r22722);
        float r22724 = r22715 * r22723;
        return r22724;
}

double f_id(double k, double n) {
        double r22725 = 1;
        double r22726 = k;
        double r22727 = sqrt(r22726);
        double r22728 = r22725 / r22727;
        double r22729 = 2;
        double r22730 = atan2(1.0, 0.0);
        double r22731 = r22729 * r22730;
        double r22732 = n;
        double r22733 = r22731 * r22732;
        double r22734 = r22725 - r22726;
        double r22735 = r22734 / r22729;
        double r22736 = pow(r22733, r22735);
        double r22737 = r22728 * r22736;
        return r22737;
}


double f_of(float k, float n) {
        float r22738 = n;
        float r22739 = atan2(1.0, 0.0);
        float r22740 = 2;
        float r22741 = r22739 * r22740;
        float r22742 = r22738 * r22741;
        float r22743 = 1;
        float r22744 = r22743 / r22740;
        float r22745 = pow(r22742, r22744);
        float r22746 = k;
        float r22747 = r22746 / r22740;
        float r22748 = pow(r22742, r22747);
        float r22749 = r22745 / r22748;
        float r22750 = sqrt(r22746);
        float r22751 = r22749 / r22750;
        return r22751;
}

double f_od(double k, double n) {
        double r22752 = n;
        double r22753 = atan2(1.0, 0.0);
        double r22754 = 2;
        double r22755 = r22753 * r22754;
        double r22756 = r22752 * r22755;
        double r22757 = 1;
        double r22758 = r22757 / r22754;
        double r22759 = pow(r22756, r22758);
        double r22760 = k;
        double r22761 = r22760 / r22754;
        double r22762 = pow(r22756, r22761);
        double r22763 = r22759 / r22762;
        double r22764 = sqrt(r22760);
        double r22765 = r22763 / r22764;
        return r22765;
}

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 r22766, r22767, r22768, r22769, r22770, r22771, r22772, r22773, r22774, r22775, r22776, r22777, r22778;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init_set_str(r22766, "1", 10, MPFR_RNDN);
        mpfr_init(r22767);
        mpfr_init(r22768);
        mpfr_init(r22769);
        mpfr_init_set_str(r22770, "2", 10, MPFR_RNDN);
        mpfr_init(r22771);
        mpfr_init(r22772);
        mpfr_init(r22773);
        mpfr_init(r22774);
        mpfr_init(r22775);
        mpfr_init(r22776);
        mpfr_init(r22777);
        mpfr_init(r22778);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r22767, k, MPFR_RNDN);
        mpfr_sqrt(r22768, r22767, MPFR_RNDN);
        mpfr_div(r22769, r22766, r22768, MPFR_RNDN);
        ;
        mpfr_const_pi(r22771, MPFR_RNDN);
        mpfr_mul(r22772, r22770, r22771, MPFR_RNDN);
        mpfr_set_d(r22773, n, MPFR_RNDN);
        mpfr_mul(r22774, r22772, r22773, MPFR_RNDN);
        mpfr_sub(r22775, r22766, r22767, MPFR_RNDN);
        mpfr_div(r22776, r22775, r22770, MPFR_RNDN);
        mpfr_pow(r22777, r22774, r22776, MPFR_RNDN);
        mpfr_mul(r22778, r22769, r22777, MPFR_RNDN);
        return mpfr_get_d(r22778, MPFR_RNDN);
}

static mpfr_t r22779, r22780, r22781, r22782, r22783, r22784, r22785, r22786, r22787, r22788, r22789, r22790, r22791, r22792;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r22779);
        mpfr_init(r22780);
        mpfr_init_set_str(r22781, "2", 10, MPFR_RNDN);
        mpfr_init(r22782);
        mpfr_init(r22783);
        mpfr_init_set_str(r22784, "1", 10, MPFR_RNDN);
        mpfr_init(r22785);
        mpfr_init(r22786);
        mpfr_init(r22787);
        mpfr_init(r22788);
        mpfr_init(r22789);
        mpfr_init(r22790);
        mpfr_init(r22791);
        mpfr_init(r22792);
}

double f_fm(double k, double n) {
        mpfr_set_d(r22779, n, MPFR_RNDN);
        mpfr_const_pi(r22780, MPFR_RNDN);
        ;
        mpfr_mul(r22782, r22780, r22781, MPFR_RNDN);
        mpfr_mul(r22783, r22779, r22782, MPFR_RNDN);
        ;
        mpfr_div(r22785, r22784, r22781, MPFR_RNDN);
        mpfr_pow(r22786, r22783, r22785, MPFR_RNDN);
        mpfr_set_d(r22787, k, MPFR_RNDN);
        mpfr_div(r22788, r22787, r22781, MPFR_RNDN);
        mpfr_pow(r22789, r22783, r22788, MPFR_RNDN);
        mpfr_div(r22790, r22786, r22789, MPFR_RNDN);
        mpfr_sqrt(r22791, r22787, MPFR_RNDN);
        mpfr_div(r22792, r22790, r22791, MPFR_RNDN);
        return mpfr_get_d(r22792, MPFR_RNDN);
}

static mpfr_t r22793, r22794, r22795, r22796, r22797, r22798, r22799, r22800, r22801, r22802, r22803, r22804, r22805, r22806;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r22793);
        mpfr_init(r22794);
        mpfr_init_set_str(r22795, "2", 10, MPFR_RNDN);
        mpfr_init(r22796);
        mpfr_init(r22797);
        mpfr_init_set_str(r22798, "1", 10, MPFR_RNDN);
        mpfr_init(r22799);
        mpfr_init(r22800);
        mpfr_init(r22801);
        mpfr_init(r22802);
        mpfr_init(r22803);
        mpfr_init(r22804);
        mpfr_init(r22805);
        mpfr_init(r22806);
}

double f_dm(double k, double n) {
        mpfr_set_d(r22793, n, MPFR_RNDN);
        mpfr_const_pi(r22794, MPFR_RNDN);
        ;
        mpfr_mul(r22796, r22794, r22795, MPFR_RNDN);
        mpfr_mul(r22797, r22793, r22796, MPFR_RNDN);
        ;
        mpfr_div(r22799, r22798, r22795, MPFR_RNDN);
        mpfr_pow(r22800, r22797, r22799, MPFR_RNDN);
        mpfr_set_d(r22801, k, MPFR_RNDN);
        mpfr_div(r22802, r22801, r22795, MPFR_RNDN);
        mpfr_pow(r22803, r22797, r22802, MPFR_RNDN);
        mpfr_div(r22804, r22800, r22803, MPFR_RNDN);
        mpfr_sqrt(r22805, r22801, MPFR_RNDN);
        mpfr_div(r22806, r22804, r22805, MPFR_RNDN);
        return mpfr_get_d(r22806, MPFR_RNDN);
}