#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 r22904 = 1;
        float r22905 = k;
        float r22906 = sqrt(r22905);
        float r22907 = r22904 / r22906;
        float r22908 = 2;
        float r22909 = atan2(1.0, 0.0);
        float r22910 = r22908 * r22909;
        float r22911 = n;
        float r22912 = r22910 * r22911;
        float r22913 = r22904 - r22905;
        float r22914 = r22913 / r22908;
        float r22915 = pow(r22912, r22914);
        float r22916 = r22907 * r22915;
        return r22916;
}

double f_id(double k, double n) {
        double r22917 = 1;
        double r22918 = k;
        double r22919 = sqrt(r22918);
        double r22920 = r22917 / r22919;
        double r22921 = 2;
        double r22922 = atan2(1.0, 0.0);
        double r22923 = r22921 * r22922;
        double r22924 = n;
        double r22925 = r22923 * r22924;
        double r22926 = r22917 - r22918;
        double r22927 = r22926 / r22921;
        double r22928 = pow(r22925, r22927);
        double r22929 = r22920 * r22928;
        return r22929;
}


double f_of(float k, float n) {
        float r22930 = k;
        float r22931 = 1/2;
        float r22932 = -r22931;
        float r22933 = pow(r22930, r22932);
        float r22934 = 2;
        float r22935 = atan2(1.0, 0.0);
        float r22936 = r22934 * r22935;
        float r22937 = n;
        float r22938 = r22936 * r22937;
        float r22939 = 1;
        float r22940 = r22939 - r22930;
        float r22941 = r22940 / r22934;
        float r22942 = pow(r22938, r22941);
        float r22943 = r22933 * r22942;
        return r22943;
}

double f_od(double k, double n) {
        double r22944 = k;
        double r22945 = 1/2;
        double r22946 = -r22945;
        double r22947 = pow(r22944, r22946);
        double r22948 = 2;
        double r22949 = atan2(1.0, 0.0);
        double r22950 = r22948 * r22949;
        double r22951 = n;
        double r22952 = r22950 * r22951;
        double r22953 = 1;
        double r22954 = r22953 - r22944;
        double r22955 = r22954 / r22948;
        double r22956 = pow(r22952, r22955);
        double r22957 = r22947 * r22956;
        return r22957;
}

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 r22958, r22959, r22960, r22961, r22962, r22963, r22964, r22965, r22966, r22967, r22968, r22969, r22970;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init_set_str(r22958, "1", 10, MPFR_RNDN);
        mpfr_init(r22959);
        mpfr_init(r22960);
        mpfr_init(r22961);
        mpfr_init_set_str(r22962, "2", 10, MPFR_RNDN);
        mpfr_init(r22963);
        mpfr_init(r22964);
        mpfr_init(r22965);
        mpfr_init(r22966);
        mpfr_init(r22967);
        mpfr_init(r22968);
        mpfr_init(r22969);
        mpfr_init(r22970);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r22959, k, MPFR_RNDN);
        mpfr_sqrt(r22960, r22959, MPFR_RNDN);
        mpfr_div(r22961, r22958, r22960, MPFR_RNDN);
        ;
        mpfr_const_pi(r22963, MPFR_RNDN);
        mpfr_mul(r22964, r22962, r22963, MPFR_RNDN);
        mpfr_set_d(r22965, n, MPFR_RNDN);
        mpfr_mul(r22966, r22964, r22965, MPFR_RNDN);
        mpfr_sub(r22967, r22958, r22959, MPFR_RNDN);
        mpfr_div(r22968, r22967, r22962, MPFR_RNDN);
        mpfr_pow(r22969, r22966, r22968, MPFR_RNDN);
        mpfr_mul(r22970, r22961, r22969, MPFR_RNDN);
        return mpfr_get_d(r22970, MPFR_RNDN);
}

static mpfr_t r22971, r22972, r22973, r22974, r22975, r22976, r22977, r22978, r22979, r22980, r22981, r22982, r22983, r22984;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22971);
        mpfr_init_set_str(r22972, "1/2", 10, MPFR_RNDN);
        mpfr_init(r22973);
        mpfr_init(r22974);
        mpfr_init_set_str(r22975, "2", 10, MPFR_RNDN);
        mpfr_init(r22976);
        mpfr_init(r22977);
        mpfr_init(r22978);
        mpfr_init(r22979);
        mpfr_init_set_str(r22980, "1", 10, MPFR_RNDN);
        mpfr_init(r22981);
        mpfr_init(r22982);
        mpfr_init(r22983);
        mpfr_init(r22984);
}

double f_fm(double k, double n) {
        mpfr_set_d(r22971, k, MPFR_RNDN);
        ;
        mpfr_neg(r22973, r22972, MPFR_RNDN);
        mpfr_pow(r22974, r22971, r22973, MPFR_RNDN);
        ;
        mpfr_const_pi(r22976, MPFR_RNDN);
        mpfr_mul(r22977, r22975, r22976, MPFR_RNDN);
        mpfr_set_d(r22978, n, MPFR_RNDN);
        mpfr_mul(r22979, r22977, r22978, MPFR_RNDN);
        ;
        mpfr_sub(r22981, r22980, r22971, MPFR_RNDN);
        mpfr_div(r22982, r22981, r22975, MPFR_RNDN);
        mpfr_pow(r22983, r22979, r22982, MPFR_RNDN);
        mpfr_mul(r22984, r22974, r22983, MPFR_RNDN);
        return mpfr_get_d(r22984, MPFR_RNDN);
}

static mpfr_t r22985, r22986, r22987, r22988, r22989, r22990, r22991, r22992, r22993, r22994, r22995, r22996, r22997, r22998;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22985);
        mpfr_init_set_str(r22986, "1/2", 10, MPFR_RNDN);
        mpfr_init(r22987);
        mpfr_init(r22988);
        mpfr_init_set_str(r22989, "2", 10, MPFR_RNDN);
        mpfr_init(r22990);
        mpfr_init(r22991);
        mpfr_init(r22992);
        mpfr_init(r22993);
        mpfr_init_set_str(r22994, "1", 10, MPFR_RNDN);
        mpfr_init(r22995);
        mpfr_init(r22996);
        mpfr_init(r22997);
        mpfr_init(r22998);
}

double f_dm(double k, double n) {
        mpfr_set_d(r22985, k, MPFR_RNDN);
        ;
        mpfr_neg(r22987, r22986, MPFR_RNDN);
        mpfr_pow(r22988, r22985, r22987, MPFR_RNDN);
        ;
        mpfr_const_pi(r22990, MPFR_RNDN);
        mpfr_mul(r22991, r22989, r22990, MPFR_RNDN);
        mpfr_set_d(r22992, n, MPFR_RNDN);
        mpfr_mul(r22993, r22991, r22992, MPFR_RNDN);
        ;
        mpfr_sub(r22995, r22994, r22985, MPFR_RNDN);
        mpfr_div(r22996, r22995, r22989, MPFR_RNDN);
        mpfr_pow(r22997, r22993, r22996, MPFR_RNDN);
        mpfr_mul(r22998, r22988, r22997, MPFR_RNDN);
        return mpfr_get_d(r22998, MPFR_RNDN);
}