#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 r22900 = 1;
        float r22901 = k;
        float r22902 = sqrt(r22901);
        float r22903 = r22900 / r22902;
        float r22904 = 2;
        float r22905 = atan2(1.0, 0.0);
        float r22906 = r22904 * r22905;
        float r22907 = n;
        float r22908 = r22906 * r22907;
        float r22909 = r22900 - r22901;
        float r22910 = r22909 / r22904;
        float r22911 = pow(r22908, r22910);
        float r22912 = r22903 * r22911;
        return r22912;
}

double f_id(double k, double n) {
        double r22913 = 1;
        double r22914 = k;
        double r22915 = sqrt(r22914);
        double r22916 = r22913 / r22915;
        double r22917 = 2;
        double r22918 = atan2(1.0, 0.0);
        double r22919 = r22917 * r22918;
        double r22920 = n;
        double r22921 = r22919 * r22920;
        double r22922 = r22913 - r22914;
        double r22923 = r22922 / r22917;
        double r22924 = pow(r22921, r22923);
        double r22925 = r22916 * r22924;
        return r22925;
}


double f_of(float k, float n) {
        float r22926 = n;
        float r22927 = atan2(1.0, 0.0);
        float r22928 = 2;
        float r22929 = r22927 * r22928;
        float r22930 = r22926 * r22929;
        float r22931 = 1;
        float r22932 = r22931 / r22928;
        float r22933 = pow(r22930, r22932);
        float r22934 = k;
        float r22935 = r22934 / r22928;
        float r22936 = pow(r22930, r22935);
        float r22937 = r22933 / r22936;
        float r22938 = sqrt(r22934);
        float r22939 = r22937 / r22938;
        return r22939;
}

double f_od(double k, double n) {
        double r22940 = n;
        double r22941 = atan2(1.0, 0.0);
        double r22942 = 2;
        double r22943 = r22941 * r22942;
        double r22944 = r22940 * r22943;
        double r22945 = 1;
        double r22946 = r22945 / r22942;
        double r22947 = pow(r22944, r22946);
        double r22948 = k;
        double r22949 = r22948 / r22942;
        double r22950 = pow(r22944, r22949);
        double r22951 = r22947 / r22950;
        double r22952 = sqrt(r22948);
        double r22953 = r22951 / r22952;
        return r22953;
}

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 r22954, r22955, r22956, r22957, r22958, r22959, r22960, r22961, r22962, r22963, r22964, r22965, r22966;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init_set_str(r22954, "1", 10, MPFR_RNDN);
        mpfr_init(r22955);
        mpfr_init(r22956);
        mpfr_init(r22957);
        mpfr_init_set_str(r22958, "2", 10, MPFR_RNDN);
        mpfr_init(r22959);
        mpfr_init(r22960);
        mpfr_init(r22961);
        mpfr_init(r22962);
        mpfr_init(r22963);
        mpfr_init(r22964);
        mpfr_init(r22965);
        mpfr_init(r22966);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r22955, k, MPFR_RNDN);
        mpfr_sqrt(r22956, r22955, MPFR_RNDN);
        mpfr_div(r22957, r22954, r22956, MPFR_RNDN);
        ;
        mpfr_const_pi(r22959, MPFR_RNDN);
        mpfr_mul(r22960, r22958, r22959, MPFR_RNDN);
        mpfr_set_d(r22961, n, MPFR_RNDN);
        mpfr_mul(r22962, r22960, r22961, MPFR_RNDN);
        mpfr_sub(r22963, r22954, r22955, MPFR_RNDN);
        mpfr_div(r22964, r22963, r22958, MPFR_RNDN);
        mpfr_pow(r22965, r22962, r22964, MPFR_RNDN);
        mpfr_mul(r22966, r22957, r22965, MPFR_RNDN);
        return mpfr_get_d(r22966, MPFR_RNDN);
}

static mpfr_t r22967, r22968, r22969, r22970, r22971, r22972, r22973, r22974, r22975, r22976, r22977, r22978, r22979, r22980;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r22967);
        mpfr_init(r22968);
        mpfr_init_set_str(r22969, "2", 10, MPFR_RNDN);
        mpfr_init(r22970);
        mpfr_init(r22971);
        mpfr_init_set_str(r22972, "1", 10, MPFR_RNDN);
        mpfr_init(r22973);
        mpfr_init(r22974);
        mpfr_init(r22975);
        mpfr_init(r22976);
        mpfr_init(r22977);
        mpfr_init(r22978);
        mpfr_init(r22979);
        mpfr_init(r22980);
}

double f_fm(double k, double n) {
        mpfr_set_d(r22967, n, MPFR_RNDN);
        mpfr_const_pi(r22968, MPFR_RNDN);
        ;
        mpfr_mul(r22970, r22968, r22969, MPFR_RNDN);
        mpfr_mul(r22971, r22967, r22970, MPFR_RNDN);
        ;
        mpfr_div(r22973, r22972, r22969, MPFR_RNDN);
        mpfr_pow(r22974, r22971, r22973, MPFR_RNDN);
        mpfr_set_d(r22975, k, MPFR_RNDN);
        mpfr_div(r22976, r22975, r22969, MPFR_RNDN);
        mpfr_pow(r22977, r22971, r22976, MPFR_RNDN);
        mpfr_div(r22978, r22974, r22977, MPFR_RNDN);
        mpfr_sqrt(r22979, r22975, MPFR_RNDN);
        mpfr_div(r22980, r22978, r22979, MPFR_RNDN);
        return mpfr_get_d(r22980, MPFR_RNDN);
}

static mpfr_t r22981, r22982, r22983, r22984, r22985, r22986, r22987, r22988, r22989, r22990, r22991, r22992, r22993, r22994;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r22981);
        mpfr_init(r22982);
        mpfr_init_set_str(r22983, "2", 10, MPFR_RNDN);
        mpfr_init(r22984);
        mpfr_init(r22985);
        mpfr_init_set_str(r22986, "1", 10, MPFR_RNDN);
        mpfr_init(r22987);
        mpfr_init(r22988);
        mpfr_init(r22989);
        mpfr_init(r22990);
        mpfr_init(r22991);
        mpfr_init(r22992);
        mpfr_init(r22993);
        mpfr_init(r22994);
}

double f_dm(double k, double n) {
        mpfr_set_d(r22981, n, MPFR_RNDN);
        mpfr_const_pi(r22982, MPFR_RNDN);
        ;
        mpfr_mul(r22984, r22982, r22983, MPFR_RNDN);
        mpfr_mul(r22985, r22981, r22984, MPFR_RNDN);
        ;
        mpfr_div(r22987, r22986, r22983, MPFR_RNDN);
        mpfr_pow(r22988, r22985, r22987, MPFR_RNDN);
        mpfr_set_d(r22989, k, MPFR_RNDN);
        mpfr_div(r22990, r22989, r22983, MPFR_RNDN);
        mpfr_pow(r22991, r22985, r22990, MPFR_RNDN);
        mpfr_div(r22992, r22988, r22991, MPFR_RNDN);
        mpfr_sqrt(r22993, r22989, MPFR_RNDN);
        mpfr_div(r22994, r22992, r22993, MPFR_RNDN);
        return mpfr_get_d(r22994, MPFR_RNDN);
}