#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 r21835 = 1;
        float r21836 = k;
        float r21837 = sqrt(r21836);
        float r21838 = r21835 / r21837;
        float r21839 = 2;
        float r21840 = atan2(1.0, 0.0);
        float r21841 = r21839 * r21840;
        float r21842 = n;
        float r21843 = r21841 * r21842;
        float r21844 = r21835 - r21836;
        float r21845 = r21844 / r21839;
        float r21846 = pow(r21843, r21845);
        float r21847 = r21838 * r21846;
        return r21847;
}

double f_id(double k, double n) {
        double r21848 = 1;
        double r21849 = k;
        double r21850 = sqrt(r21849);
        double r21851 = r21848 / r21850;
        double r21852 = 2;
        double r21853 = atan2(1.0, 0.0);
        double r21854 = r21852 * r21853;
        double r21855 = n;
        double r21856 = r21854 * r21855;
        double r21857 = r21848 - r21849;
        double r21858 = r21857 / r21852;
        double r21859 = pow(r21856, r21858);
        double r21860 = r21851 * r21859;
        return r21860;
}


double f_of(float k, float n) {
        float r21861 = n;
        float r21862 = atan2(1.0, 0.0);
        float r21863 = r21862 + r21862;
        float r21864 = r21861 * r21863;
        float r21865 = 1;
        float r21866 = 2;
        float r21867 = r21865 / r21866;
        float r21868 = pow(r21864, r21867);
        float r21869 = k;
        float r21870 = r21869 / r21866;
        float r21871 = pow(r21864, r21870);
        float r21872 = r21868 / r21871;
        float r21873 = sqrt(r21869);
        float r21874 = r21872 / r21873;
        return r21874;
}

double f_od(double k, double n) {
        double r21875 = n;
        double r21876 = atan2(1.0, 0.0);
        double r21877 = r21876 + r21876;
        double r21878 = r21875 * r21877;
        double r21879 = 1;
        double r21880 = 2;
        double r21881 = r21879 / r21880;
        double r21882 = pow(r21878, r21881);
        double r21883 = k;
        double r21884 = r21883 / r21880;
        double r21885 = pow(r21878, r21884);
        double r21886 = r21882 / r21885;
        double r21887 = sqrt(r21883);
        double r21888 = r21886 / r21887;
        return r21888;
}

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 r21889, r21890, r21891, r21892, r21893, r21894, r21895, r21896, r21897, r21898, r21899, r21900, r21901;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init_set_str(r21889, "1", 10, MPFR_RNDN);
        mpfr_init(r21890);
        mpfr_init(r21891);
        mpfr_init(r21892);
        mpfr_init_set_str(r21893, "2", 10, MPFR_RNDN);
        mpfr_init(r21894);
        mpfr_init(r21895);
        mpfr_init(r21896);
        mpfr_init(r21897);
        mpfr_init(r21898);
        mpfr_init(r21899);
        mpfr_init(r21900);
        mpfr_init(r21901);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r21890, k, MPFR_RNDN);
        mpfr_sqrt(r21891, r21890, MPFR_RNDN);
        mpfr_div(r21892, r21889, r21891, MPFR_RNDN);
        ;
        mpfr_const_pi(r21894, MPFR_RNDN);
        mpfr_mul(r21895, r21893, r21894, MPFR_RNDN);
        mpfr_set_d(r21896, n, MPFR_RNDN);
        mpfr_mul(r21897, r21895, r21896, MPFR_RNDN);
        mpfr_sub(r21898, r21889, r21890, MPFR_RNDN);
        mpfr_div(r21899, r21898, r21893, MPFR_RNDN);
        mpfr_pow(r21900, r21897, r21899, MPFR_RNDN);
        mpfr_mul(r21901, r21892, r21900, MPFR_RNDN);
        return mpfr_get_d(r21901, MPFR_RNDN);
}

static mpfr_t r21902, r21903, r21904, r21905, r21906, r21907, r21908, r21909, r21910, r21911, r21912, r21913, r21914, r21915;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r21902);
        mpfr_init(r21903);
        mpfr_init(r21904);
        mpfr_init(r21905);
        mpfr_init_set_str(r21906, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r21907, "2", 10, MPFR_RNDN);
        mpfr_init(r21908);
        mpfr_init(r21909);
        mpfr_init(r21910);
        mpfr_init(r21911);
        mpfr_init(r21912);
        mpfr_init(r21913);
        mpfr_init(r21914);
        mpfr_init(r21915);
}

double f_fm(double k, double n) {
        mpfr_set_d(r21902, n, MPFR_RNDN);
        mpfr_const_pi(r21903, MPFR_RNDN);
        mpfr_add(r21904, r21903, r21903, MPFR_RNDN);
        mpfr_mul(r21905, r21902, r21904, MPFR_RNDN);
        ;
        ;
        mpfr_div(r21908, r21906, r21907, MPFR_RNDN);
        mpfr_pow(r21909, r21905, r21908, MPFR_RNDN);
        mpfr_set_d(r21910, k, MPFR_RNDN);
        mpfr_div(r21911, r21910, r21907, MPFR_RNDN);
        mpfr_pow(r21912, r21905, r21911, MPFR_RNDN);
        mpfr_div(r21913, r21909, r21912, MPFR_RNDN);
        mpfr_sqrt(r21914, r21910, MPFR_RNDN);
        mpfr_div(r21915, r21913, r21914, MPFR_RNDN);
        return mpfr_get_d(r21915, MPFR_RNDN);
}

static mpfr_t r21916, r21917, r21918, r21919, r21920, r21921, r21922, r21923, r21924, r21925, r21926, r21927, r21928, r21929;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r21916);
        mpfr_init(r21917);
        mpfr_init(r21918);
        mpfr_init(r21919);
        mpfr_init_set_str(r21920, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r21921, "2", 10, MPFR_RNDN);
        mpfr_init(r21922);
        mpfr_init(r21923);
        mpfr_init(r21924);
        mpfr_init(r21925);
        mpfr_init(r21926);
        mpfr_init(r21927);
        mpfr_init(r21928);
        mpfr_init(r21929);
}

double f_dm(double k, double n) {
        mpfr_set_d(r21916, n, MPFR_RNDN);
        mpfr_const_pi(r21917, MPFR_RNDN);
        mpfr_add(r21918, r21917, r21917, MPFR_RNDN);
        mpfr_mul(r21919, r21916, r21918, MPFR_RNDN);
        ;
        ;
        mpfr_div(r21922, r21920, r21921, MPFR_RNDN);
        mpfr_pow(r21923, r21919, r21922, MPFR_RNDN);
        mpfr_set_d(r21924, k, MPFR_RNDN);
        mpfr_div(r21925, r21924, r21921, MPFR_RNDN);
        mpfr_pow(r21926, r21919, r21925, MPFR_RNDN);
        mpfr_div(r21927, r21923, r21926, MPFR_RNDN);
        mpfr_sqrt(r21928, r21924, MPFR_RNDN);
        mpfr_div(r21929, r21927, r21928, MPFR_RNDN);
        return mpfr_get_d(r21929, MPFR_RNDN);
}