#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 r22881 = 1;
        float r22882 = k;
        float r22883 = sqrt(r22882);
        float r22884 = r22881 / r22883;
        float r22885 = 2;
        float r22886 = atan2(1.0, 0.0);
        float r22887 = r22885 * r22886;
        float r22888 = n;
        float r22889 = r22887 * r22888;
        float r22890 = r22881 - r22882;
        float r22891 = r22890 / r22885;
        float r22892 = pow(r22889, r22891);
        float r22893 = r22884 * r22892;
        return r22893;
}

double f_id(double k, double n) {
        double r22894 = 1;
        double r22895 = k;
        double r22896 = sqrt(r22895);
        double r22897 = r22894 / r22896;
        double r22898 = 2;
        double r22899 = atan2(1.0, 0.0);
        double r22900 = r22898 * r22899;
        double r22901 = n;
        double r22902 = r22900 * r22901;
        double r22903 = r22894 - r22895;
        double r22904 = r22903 / r22898;
        double r22905 = pow(r22902, r22904);
        double r22906 = r22897 * r22905;
        return r22906;
}


double f_of(float k, float n) {
        float r22907 = n;
        float r22908 = atan2(1.0, 0.0);
        float r22909 = 2;
        float r22910 = r22908 * r22909;
        float r22911 = r22907 * r22910;
        float r22912 = 1;
        float r22913 = r22912 / r22909;
        float r22914 = pow(r22911, r22913);
        float r22915 = k;
        float r22916 = r22915 / r22909;
        float r22917 = pow(r22911, r22916);
        float r22918 = r22914 / r22917;
        float r22919 = sqrt(r22915);
        float r22920 = r22918 / r22919;
        return r22920;
}

double f_od(double k, double n) {
        double r22921 = n;
        double r22922 = atan2(1.0, 0.0);
        double r22923 = 2;
        double r22924 = r22922 * r22923;
        double r22925 = r22921 * r22924;
        double r22926 = 1;
        double r22927 = r22926 / r22923;
        double r22928 = pow(r22925, r22927);
        double r22929 = k;
        double r22930 = r22929 / r22923;
        double r22931 = pow(r22925, r22930);
        double r22932 = r22928 / r22931;
        double r22933 = sqrt(r22929);
        double r22934 = r22932 / r22933;
        return r22934;
}

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 r22935, r22936, r22937, r22938, r22939, r22940, r22941, r22942, r22943, r22944, r22945, r22946, r22947;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init_set_str(r22935, "1", 10, MPFR_RNDN);
        mpfr_init(r22936);
        mpfr_init(r22937);
        mpfr_init(r22938);
        mpfr_init_set_str(r22939, "2", 10, MPFR_RNDN);
        mpfr_init(r22940);
        mpfr_init(r22941);
        mpfr_init(r22942);
        mpfr_init(r22943);
        mpfr_init(r22944);
        mpfr_init(r22945);
        mpfr_init(r22946);
        mpfr_init(r22947);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r22936, k, MPFR_RNDN);
        mpfr_sqrt(r22937, r22936, MPFR_RNDN);
        mpfr_div(r22938, r22935, r22937, MPFR_RNDN);
        ;
        mpfr_const_pi(r22940, MPFR_RNDN);
        mpfr_mul(r22941, r22939, r22940, MPFR_RNDN);
        mpfr_set_d(r22942, n, MPFR_RNDN);
        mpfr_mul(r22943, r22941, r22942, MPFR_RNDN);
        mpfr_sub(r22944, r22935, r22936, MPFR_RNDN);
        mpfr_div(r22945, r22944, r22939, MPFR_RNDN);
        mpfr_pow(r22946, r22943, r22945, MPFR_RNDN);
        mpfr_mul(r22947, r22938, r22946, MPFR_RNDN);
        return mpfr_get_d(r22947, MPFR_RNDN);
}

static mpfr_t r22948, r22949, r22950, r22951, r22952, r22953, r22954, r22955, r22956, r22957, r22958, r22959, r22960, r22961;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22948);
        mpfr_init(r22949);
        mpfr_init_set_str(r22950, "2", 10, MPFR_RNDN);
        mpfr_init(r22951);
        mpfr_init(r22952);
        mpfr_init_set_str(r22953, "1", 10, MPFR_RNDN);
        mpfr_init(r22954);
        mpfr_init(r22955);
        mpfr_init(r22956);
        mpfr_init(r22957);
        mpfr_init(r22958);
        mpfr_init(r22959);
        mpfr_init(r22960);
        mpfr_init(r22961);
}

double f_fm(double k, double n) {
        mpfr_set_d(r22948, n, MPFR_RNDN);
        mpfr_const_pi(r22949, MPFR_RNDN);
        ;
        mpfr_mul(r22951, r22949, r22950, MPFR_RNDN);
        mpfr_mul(r22952, r22948, r22951, MPFR_RNDN);
        ;
        mpfr_div(r22954, r22953, r22950, MPFR_RNDN);
        mpfr_pow(r22955, r22952, r22954, MPFR_RNDN);
        mpfr_set_d(r22956, k, MPFR_RNDN);
        mpfr_div(r22957, r22956, r22950, MPFR_RNDN);
        mpfr_pow(r22958, r22952, r22957, MPFR_RNDN);
        mpfr_div(r22959, r22955, r22958, MPFR_RNDN);
        mpfr_sqrt(r22960, r22956, MPFR_RNDN);
        mpfr_div(r22961, r22959, r22960, MPFR_RNDN);
        return mpfr_get_d(r22961, MPFR_RNDN);
}

static mpfr_t r22962, r22963, r22964, r22965, r22966, r22967, r22968, r22969, r22970, r22971, r22972, r22973, r22974, r22975;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22962);
        mpfr_init(r22963);
        mpfr_init_set_str(r22964, "2", 10, MPFR_RNDN);
        mpfr_init(r22965);
        mpfr_init(r22966);
        mpfr_init_set_str(r22967, "1", 10, MPFR_RNDN);
        mpfr_init(r22968);
        mpfr_init(r22969);
        mpfr_init(r22970);
        mpfr_init(r22971);
        mpfr_init(r22972);
        mpfr_init(r22973);
        mpfr_init(r22974);
        mpfr_init(r22975);
}

double f_dm(double k, double n) {
        mpfr_set_d(r22962, n, MPFR_RNDN);
        mpfr_const_pi(r22963, MPFR_RNDN);
        ;
        mpfr_mul(r22965, r22963, r22964, MPFR_RNDN);
        mpfr_mul(r22966, r22962, r22965, MPFR_RNDN);
        ;
        mpfr_div(r22968, r22967, r22964, MPFR_RNDN);
        mpfr_pow(r22969, r22966, r22968, MPFR_RNDN);
        mpfr_set_d(r22970, k, MPFR_RNDN);
        mpfr_div(r22971, r22970, r22964, MPFR_RNDN);
        mpfr_pow(r22972, r22966, r22971, MPFR_RNDN);
        mpfr_div(r22973, r22969, r22972, MPFR_RNDN);
        mpfr_sqrt(r22974, r22970, MPFR_RNDN);
        mpfr_div(r22975, r22973, r22974, MPFR_RNDN);
        return mpfr_get_d(r22975, MPFR_RNDN);
}