#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 r25816 = 1;
        float r25817 = k;
        float r25818 = sqrt(r25817);
        float r25819 = r25816 / r25818;
        float r25820 = 2;
        float r25821 = atan2(1.0, 0.0);
        float r25822 = r25820 * r25821;
        float r25823 = n;
        float r25824 = r25822 * r25823;
        float r25825 = r25816 - r25817;
        float r25826 = r25825 / r25820;
        float r25827 = pow(r25824, r25826);
        float r25828 = r25819 * r25827;
        return r25828;
}

double f_id(double k, double n) {
        double r25829 = 1;
        double r25830 = k;
        double r25831 = sqrt(r25830);
        double r25832 = r25829 / r25831;
        double r25833 = 2;
        double r25834 = atan2(1.0, 0.0);
        double r25835 = r25833 * r25834;
        double r25836 = n;
        double r25837 = r25835 * r25836;
        double r25838 = r25829 - r25830;
        double r25839 = r25838 / r25833;
        double r25840 = pow(r25837, r25839);
        double r25841 = r25832 * r25840;
        return r25841;
}


double f_of(float k, float n) {
        float r25842 = n;
        float r25843 = atan2(1.0, 0.0);
        float r25844 = 2;
        float r25845 = r25843 * r25844;
        float r25846 = r25842 * r25845;
        float r25847 = 1;
        float r25848 = r25847 / r25844;
        float r25849 = pow(r25846, r25848);
        float r25850 = k;
        float r25851 = sqrt(r25850);
        float r25852 = r25850 / r25844;
        float r25853 = pow(r25846, r25852);
        float r25854 = r25851 * r25853;
        float r25855 = r25849 / r25854;
        return r25855;
}

double f_od(double k, double n) {
        double r25856 = n;
        double r25857 = atan2(1.0, 0.0);
        double r25858 = 2;
        double r25859 = r25857 * r25858;
        double r25860 = r25856 * r25859;
        double r25861 = 1;
        double r25862 = r25861 / r25858;
        double r25863 = pow(r25860, r25862);
        double r25864 = k;
        double r25865 = sqrt(r25864);
        double r25866 = r25864 / r25858;
        double r25867 = pow(r25860, r25866);
        double r25868 = r25865 * r25867;
        double r25869 = r25863 / r25868;
        return r25869;
}

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 r25870, r25871, r25872, r25873, r25874, r25875, r25876, r25877, r25878, r25879, r25880, r25881, r25882;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init_set_str(r25870, "1", 10, MPFR_RNDN);
        mpfr_init(r25871);
        mpfr_init(r25872);
        mpfr_init(r25873);
        mpfr_init_set_str(r25874, "2", 10, MPFR_RNDN);
        mpfr_init(r25875);
        mpfr_init(r25876);
        mpfr_init(r25877);
        mpfr_init(r25878);
        mpfr_init(r25879);
        mpfr_init(r25880);
        mpfr_init(r25881);
        mpfr_init(r25882);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r25871, k, MPFR_RNDN);
        mpfr_sqrt(r25872, r25871, MPFR_RNDN);
        mpfr_div(r25873, r25870, r25872, MPFR_RNDN);
        ;
        mpfr_const_pi(r25875, MPFR_RNDN);
        mpfr_mul(r25876, r25874, r25875, MPFR_RNDN);
        mpfr_set_d(r25877, n, MPFR_RNDN);
        mpfr_mul(r25878, r25876, r25877, MPFR_RNDN);
        mpfr_sub(r25879, r25870, r25871, MPFR_RNDN);
        mpfr_div(r25880, r25879, r25874, MPFR_RNDN);
        mpfr_pow(r25881, r25878, r25880, MPFR_RNDN);
        mpfr_mul(r25882, r25873, r25881, MPFR_RNDN);
        return mpfr_get_d(r25882, MPFR_RNDN);
}

static mpfr_t r25883, r25884, r25885, r25886, r25887, r25888, r25889, r25890, r25891, r25892, r25893, r25894, r25895, r25896;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r25883);
        mpfr_init(r25884);
        mpfr_init_set_str(r25885, "2", 10, MPFR_RNDN);
        mpfr_init(r25886);
        mpfr_init(r25887);
        mpfr_init_set_str(r25888, "1", 10, MPFR_RNDN);
        mpfr_init(r25889);
        mpfr_init(r25890);
        mpfr_init(r25891);
        mpfr_init(r25892);
        mpfr_init(r25893);
        mpfr_init(r25894);
        mpfr_init(r25895);
        mpfr_init(r25896);
}

double f_fm(double k, double n) {
        mpfr_set_d(r25883, n, MPFR_RNDN);
        mpfr_const_pi(r25884, MPFR_RNDN);
        ;
        mpfr_mul(r25886, r25884, r25885, MPFR_RNDN);
        mpfr_mul(r25887, r25883, r25886, MPFR_RNDN);
        ;
        mpfr_div(r25889, r25888, r25885, MPFR_RNDN);
        mpfr_pow(r25890, r25887, r25889, MPFR_RNDN);
        mpfr_set_d(r25891, k, MPFR_RNDN);
        mpfr_sqrt(r25892, r25891, MPFR_RNDN);
        mpfr_div(r25893, r25891, r25885, MPFR_RNDN);
        mpfr_pow(r25894, r25887, r25893, MPFR_RNDN);
        mpfr_mul(r25895, r25892, r25894, MPFR_RNDN);
        mpfr_div(r25896, r25890, r25895, MPFR_RNDN);
        return mpfr_get_d(r25896, MPFR_RNDN);
}

static mpfr_t r25897, r25898, r25899, r25900, r25901, r25902, r25903, r25904, r25905, r25906, r25907, r25908, r25909, r25910;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r25897);
        mpfr_init(r25898);
        mpfr_init_set_str(r25899, "2", 10, MPFR_RNDN);
        mpfr_init(r25900);
        mpfr_init(r25901);
        mpfr_init_set_str(r25902, "1", 10, MPFR_RNDN);
        mpfr_init(r25903);
        mpfr_init(r25904);
        mpfr_init(r25905);
        mpfr_init(r25906);
        mpfr_init(r25907);
        mpfr_init(r25908);
        mpfr_init(r25909);
        mpfr_init(r25910);
}

double f_dm(double k, double n) {
        mpfr_set_d(r25897, n, MPFR_RNDN);
        mpfr_const_pi(r25898, MPFR_RNDN);
        ;
        mpfr_mul(r25900, r25898, r25899, MPFR_RNDN);
        mpfr_mul(r25901, r25897, r25900, MPFR_RNDN);
        ;
        mpfr_div(r25903, r25902, r25899, MPFR_RNDN);
        mpfr_pow(r25904, r25901, r25903, MPFR_RNDN);
        mpfr_set_d(r25905, k, MPFR_RNDN);
        mpfr_sqrt(r25906, r25905, MPFR_RNDN);
        mpfr_div(r25907, r25905, r25899, MPFR_RNDN);
        mpfr_pow(r25908, r25901, r25907, MPFR_RNDN);
        mpfr_mul(r25909, r25906, r25908, MPFR_RNDN);
        mpfr_div(r25910, r25904, r25909, MPFR_RNDN);
        return mpfr_get_d(r25910, MPFR_RNDN);
}