#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 r22782 = 1;
        float r22783 = k;
        float r22784 = sqrt(r22783);
        float r22785 = r22782 / r22784;
        float r22786 = 2;
        float r22787 = atan2(1.0, 0.0);
        float r22788 = r22786 * r22787;
        float r22789 = n;
        float r22790 = r22788 * r22789;
        float r22791 = r22782 - r22783;
        float r22792 = r22791 / r22786;
        float r22793 = pow(r22790, r22792);
        float r22794 = r22785 * r22793;
        return r22794;
}

double f_id(double k, double n) {
        double r22795 = 1;
        double r22796 = k;
        double r22797 = sqrt(r22796);
        double r22798 = r22795 / r22797;
        double r22799 = 2;
        double r22800 = atan2(1.0, 0.0);
        double r22801 = r22799 * r22800;
        double r22802 = n;
        double r22803 = r22801 * r22802;
        double r22804 = r22795 - r22796;
        double r22805 = r22804 / r22799;
        double r22806 = pow(r22803, r22805);
        double r22807 = r22798 * r22806;
        return r22807;
}


double f_of(float k, float n) {
        float r22808 = 1;
        float r22809 = k;
        float r22810 = sqrt(r22809);
        float r22811 = n;
        float r22812 = atan2(1.0, 0.0);
        float r22813 = 2;
        float r22814 = r22812 * r22813;
        float r22815 = r22811 * r22814;
        float r22816 = r22808 - r22809;
        float r22817 = r22816 / r22813;
        float r22818 = pow(r22815, r22817);
        float r22819 = r22810 / r22818;
        float r22820 = r22808 / r22819;
        return r22820;
}

double f_od(double k, double n) {
        double r22821 = 1;
        double r22822 = k;
        double r22823 = sqrt(r22822);
        double r22824 = n;
        double r22825 = atan2(1.0, 0.0);
        double r22826 = 2;
        double r22827 = r22825 * r22826;
        double r22828 = r22824 * r22827;
        double r22829 = r22821 - r22822;
        double r22830 = r22829 / r22826;
        double r22831 = pow(r22828, r22830);
        double r22832 = r22823 / r22831;
        double r22833 = r22821 / r22832;
        return r22833;
}

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 r22834, r22835, r22836, r22837, r22838, r22839, r22840, r22841, r22842, r22843, r22844, r22845, r22846;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init_set_str(r22834, "1", 10, MPFR_RNDN);
        mpfr_init(r22835);
        mpfr_init(r22836);
        mpfr_init(r22837);
        mpfr_init_set_str(r22838, "2", 10, MPFR_RNDN);
        mpfr_init(r22839);
        mpfr_init(r22840);
        mpfr_init(r22841);
        mpfr_init(r22842);
        mpfr_init(r22843);
        mpfr_init(r22844);
        mpfr_init(r22845);
        mpfr_init(r22846);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r22835, k, MPFR_RNDN);
        mpfr_sqrt(r22836, r22835, MPFR_RNDN);
        mpfr_div(r22837, r22834, r22836, MPFR_RNDN);
        ;
        mpfr_const_pi(r22839, MPFR_RNDN);
        mpfr_mul(r22840, r22838, r22839, MPFR_RNDN);
        mpfr_set_d(r22841, n, MPFR_RNDN);
        mpfr_mul(r22842, r22840, r22841, MPFR_RNDN);
        mpfr_sub(r22843, r22834, r22835, MPFR_RNDN);
        mpfr_div(r22844, r22843, r22838, MPFR_RNDN);
        mpfr_pow(r22845, r22842, r22844, MPFR_RNDN);
        mpfr_mul(r22846, r22837, r22845, MPFR_RNDN);
        return mpfr_get_d(r22846, MPFR_RNDN);
}

static mpfr_t r22847, r22848, r22849, r22850, r22851, r22852, r22853, r22854, r22855, r22856, r22857, r22858, r22859;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init_set_str(r22847, "1", 10, MPFR_RNDN);
        mpfr_init(r22848);
        mpfr_init(r22849);
        mpfr_init(r22850);
        mpfr_init(r22851);
        mpfr_init_set_str(r22852, "2", 10, MPFR_RNDN);
        mpfr_init(r22853);
        mpfr_init(r22854);
        mpfr_init(r22855);
        mpfr_init(r22856);
        mpfr_init(r22857);
        mpfr_init(r22858);
        mpfr_init(r22859);
}

double f_fm(double k, double n) {
        ;
        mpfr_set_d(r22848, k, MPFR_RNDN);
        mpfr_sqrt(r22849, r22848, MPFR_RNDN);
        mpfr_set_d(r22850, n, MPFR_RNDN);
        mpfr_const_pi(r22851, MPFR_RNDN);
        ;
        mpfr_mul(r22853, r22851, r22852, MPFR_RNDN);
        mpfr_mul(r22854, r22850, r22853, MPFR_RNDN);
        mpfr_sub(r22855, r22847, r22848, MPFR_RNDN);
        mpfr_div(r22856, r22855, r22852, MPFR_RNDN);
        mpfr_pow(r22857, r22854, r22856, MPFR_RNDN);
        mpfr_div(r22858, r22849, r22857, MPFR_RNDN);
        mpfr_div(r22859, r22847, r22858, MPFR_RNDN);
        return mpfr_get_d(r22859, MPFR_RNDN);
}

static mpfr_t r22860, r22861, r22862, r22863, r22864, r22865, r22866, r22867, r22868, r22869, r22870, r22871, r22872;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init_set_str(r22860, "1", 10, MPFR_RNDN);
        mpfr_init(r22861);
        mpfr_init(r22862);
        mpfr_init(r22863);
        mpfr_init(r22864);
        mpfr_init_set_str(r22865, "2", 10, MPFR_RNDN);
        mpfr_init(r22866);
        mpfr_init(r22867);
        mpfr_init(r22868);
        mpfr_init(r22869);
        mpfr_init(r22870);
        mpfr_init(r22871);
        mpfr_init(r22872);
}

double f_dm(double k, double n) {
        ;
        mpfr_set_d(r22861, k, MPFR_RNDN);
        mpfr_sqrt(r22862, r22861, MPFR_RNDN);
        mpfr_set_d(r22863, n, MPFR_RNDN);
        mpfr_const_pi(r22864, MPFR_RNDN);
        ;
        mpfr_mul(r22866, r22864, r22865, MPFR_RNDN);
        mpfr_mul(r22867, r22863, r22866, MPFR_RNDN);
        mpfr_sub(r22868, r22860, r22861, MPFR_RNDN);
        mpfr_div(r22869, r22868, r22865, MPFR_RNDN);
        mpfr_pow(r22870, r22867, r22869, MPFR_RNDN);
        mpfr_div(r22871, r22862, r22870, MPFR_RNDN);
        mpfr_div(r22872, r22860, r22871, MPFR_RNDN);
        return mpfr_get_d(r22872, MPFR_RNDN);
}