#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 r22857 = 1;
        float r22858 = k;
        float r22859 = sqrt(r22858);
        float r22860 = r22857 / r22859;
        float r22861 = 2;
        float r22862 = atan2(1.0, 0.0);
        float r22863 = r22861 * r22862;
        float r22864 = n;
        float r22865 = r22863 * r22864;
        float r22866 = r22857 - r22858;
        float r22867 = r22866 / r22861;
        float r22868 = pow(r22865, r22867);
        float r22869 = r22860 * r22868;
        return r22869;
}

double f_id(double k, double n) {
        double r22870 = 1;
        double r22871 = k;
        double r22872 = sqrt(r22871);
        double r22873 = r22870 / r22872;
        double r22874 = 2;
        double r22875 = atan2(1.0, 0.0);
        double r22876 = r22874 * r22875;
        double r22877 = n;
        double r22878 = r22876 * r22877;
        double r22879 = r22870 - r22871;
        double r22880 = r22879 / r22874;
        double r22881 = pow(r22878, r22880);
        double r22882 = r22873 * r22881;
        return r22882;
}


double f_of(float k, float n) {
        float r22883 = n;
        float r22884 = atan2(1.0, 0.0);
        float r22885 = 2;
        float r22886 = r22884 * r22885;
        float r22887 = r22883 * r22886;
        float r22888 = 1;
        float r22889 = r22888 / r22885;
        float r22890 = pow(r22887, r22889);
        float r22891 = k;
        float r22892 = r22891 / r22885;
        float r22893 = pow(r22887, r22892);
        float r22894 = r22890 / r22893;
        float r22895 = sqrt(r22891);
        float r22896 = r22894 / r22895;
        return r22896;
}

double f_od(double k, double n) {
        double r22897 = n;
        double r22898 = atan2(1.0, 0.0);
        double r22899 = 2;
        double r22900 = r22898 * r22899;
        double r22901 = r22897 * r22900;
        double r22902 = 1;
        double r22903 = r22902 / r22899;
        double r22904 = pow(r22901, r22903);
        double r22905 = k;
        double r22906 = r22905 / r22899;
        double r22907 = pow(r22901, r22906);
        double r22908 = r22904 / r22907;
        double r22909 = sqrt(r22905);
        double r22910 = r22908 / r22909;
        return r22910;
}

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 r22911, r22912, r22913, r22914, r22915, r22916, r22917, r22918, r22919, r22920, r22921, r22922, r22923;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init_set_str(r22911, "1", 10, MPFR_RNDN);
        mpfr_init(r22912);
        mpfr_init(r22913);
        mpfr_init(r22914);
        mpfr_init_set_str(r22915, "2", 10, MPFR_RNDN);
        mpfr_init(r22916);
        mpfr_init(r22917);
        mpfr_init(r22918);
        mpfr_init(r22919);
        mpfr_init(r22920);
        mpfr_init(r22921);
        mpfr_init(r22922);
        mpfr_init(r22923);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r22912, k, MPFR_RNDN);
        mpfr_sqrt(r22913, r22912, MPFR_RNDN);
        mpfr_div(r22914, r22911, r22913, MPFR_RNDN);
        ;
        mpfr_const_pi(r22916, MPFR_RNDN);
        mpfr_mul(r22917, r22915, r22916, MPFR_RNDN);
        mpfr_set_d(r22918, n, MPFR_RNDN);
        mpfr_mul(r22919, r22917, r22918, MPFR_RNDN);
        mpfr_sub(r22920, r22911, r22912, MPFR_RNDN);
        mpfr_div(r22921, r22920, r22915, MPFR_RNDN);
        mpfr_pow(r22922, r22919, r22921, MPFR_RNDN);
        mpfr_mul(r22923, r22914, r22922, MPFR_RNDN);
        return mpfr_get_d(r22923, MPFR_RNDN);
}

static mpfr_t r22924, r22925, r22926, r22927, r22928, r22929, r22930, r22931, r22932, r22933, r22934, r22935, r22936, r22937;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22924);
        mpfr_init(r22925);
        mpfr_init_set_str(r22926, "2", 10, MPFR_RNDN);
        mpfr_init(r22927);
        mpfr_init(r22928);
        mpfr_init_set_str(r22929, "1", 10, MPFR_RNDN);
        mpfr_init(r22930);
        mpfr_init(r22931);
        mpfr_init(r22932);
        mpfr_init(r22933);
        mpfr_init(r22934);
        mpfr_init(r22935);
        mpfr_init(r22936);
        mpfr_init(r22937);
}

double f_fm(double k, double n) {
        mpfr_set_d(r22924, n, MPFR_RNDN);
        mpfr_const_pi(r22925, MPFR_RNDN);
        ;
        mpfr_mul(r22927, r22925, r22926, MPFR_RNDN);
        mpfr_mul(r22928, r22924, r22927, MPFR_RNDN);
        ;
        mpfr_div(r22930, r22929, r22926, MPFR_RNDN);
        mpfr_pow(r22931, r22928, r22930, MPFR_RNDN);
        mpfr_set_d(r22932, k, MPFR_RNDN);
        mpfr_div(r22933, r22932, r22926, MPFR_RNDN);
        mpfr_pow(r22934, r22928, r22933, MPFR_RNDN);
        mpfr_div(r22935, r22931, r22934, MPFR_RNDN);
        mpfr_sqrt(r22936, r22932, MPFR_RNDN);
        mpfr_div(r22937, r22935, r22936, MPFR_RNDN);
        return mpfr_get_d(r22937, MPFR_RNDN);
}

static mpfr_t r22938, r22939, r22940, r22941, r22942, r22943, r22944, r22945, r22946, r22947, r22948, r22949, r22950, r22951;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22938);
        mpfr_init(r22939);
        mpfr_init_set_str(r22940, "2", 10, MPFR_RNDN);
        mpfr_init(r22941);
        mpfr_init(r22942);
        mpfr_init_set_str(r22943, "1", 10, MPFR_RNDN);
        mpfr_init(r22944);
        mpfr_init(r22945);
        mpfr_init(r22946);
        mpfr_init(r22947);
        mpfr_init(r22948);
        mpfr_init(r22949);
        mpfr_init(r22950);
        mpfr_init(r22951);
}

double f_dm(double k, double n) {
        mpfr_set_d(r22938, n, MPFR_RNDN);
        mpfr_const_pi(r22939, MPFR_RNDN);
        ;
        mpfr_mul(r22941, r22939, r22940, MPFR_RNDN);
        mpfr_mul(r22942, r22938, r22941, MPFR_RNDN);
        ;
        mpfr_div(r22944, r22943, r22940, MPFR_RNDN);
        mpfr_pow(r22945, r22942, r22944, MPFR_RNDN);
        mpfr_set_d(r22946, k, MPFR_RNDN);
        mpfr_div(r22947, r22946, r22940, MPFR_RNDN);
        mpfr_pow(r22948, r22942, r22947, MPFR_RNDN);
        mpfr_div(r22949, r22945, r22948, MPFR_RNDN);
        mpfr_sqrt(r22950, r22946, MPFR_RNDN);
        mpfr_div(r22951, r22949, r22950, MPFR_RNDN);
        return mpfr_get_d(r22951, MPFR_RNDN);
}