#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 r22928 = 1;
        float r22929 = k;
        float r22930 = sqrt(r22929);
        float r22931 = r22928 / r22930;
        float r22932 = 2;
        float r22933 = atan2(1.0, 0.0);
        float r22934 = r22932 * r22933;
        float r22935 = n;
        float r22936 = r22934 * r22935;
        float r22937 = r22928 - r22929;
        float r22938 = r22937 / r22932;
        float r22939 = pow(r22936, r22938);
        float r22940 = r22931 * r22939;
        return r22940;
}

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


double f_of(float k, float n) {
        float r22954 = n;
        float r22955 = atan2(1.0, 0.0);
        float r22956 = 2;
        float r22957 = r22955 * r22956;
        float r22958 = r22954 * r22957;
        float r22959 = 1;
        float r22960 = r22959 / r22956;
        float r22961 = pow(r22958, r22960);
        float r22962 = k;
        float r22963 = sqrt(r22962);
        float r22964 = r22962 / r22956;
        float r22965 = pow(r22958, r22964);
        float r22966 = r22963 * r22965;
        float r22967 = r22961 / r22966;
        return r22967;
}

double f_od(double k, double n) {
        double r22968 = n;
        double r22969 = atan2(1.0, 0.0);
        double r22970 = 2;
        double r22971 = r22969 * r22970;
        double r22972 = r22968 * r22971;
        double r22973 = 1;
        double r22974 = r22973 / r22970;
        double r22975 = pow(r22972, r22974);
        double r22976 = k;
        double r22977 = sqrt(r22976);
        double r22978 = r22976 / r22970;
        double r22979 = pow(r22972, r22978);
        double r22980 = r22977 * r22979;
        double r22981 = r22975 / r22980;
        return r22981;
}

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

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init_set_str(r22982, "1", 10, MPFR_RNDN);
        mpfr_init(r22983);
        mpfr_init(r22984);
        mpfr_init(r22985);
        mpfr_init_set_str(r22986, "2", 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_im(double k, double n) {
        ;
        mpfr_set_d(r22983, k, MPFR_RNDN);
        mpfr_sqrt(r22984, r22983, MPFR_RNDN);
        mpfr_div(r22985, r22982, r22984, MPFR_RNDN);
        ;
        mpfr_const_pi(r22987, MPFR_RNDN);
        mpfr_mul(r22988, r22986, r22987, MPFR_RNDN);
        mpfr_set_d(r22989, n, MPFR_RNDN);
        mpfr_mul(r22990, r22988, r22989, MPFR_RNDN);
        mpfr_sub(r22991, r22982, r22983, MPFR_RNDN);
        mpfr_div(r22992, r22991, r22986, MPFR_RNDN);
        mpfr_pow(r22993, r22990, r22992, MPFR_RNDN);
        mpfr_mul(r22994, r22985, r22993, MPFR_RNDN);
        return mpfr_get_d(r22994, MPFR_RNDN);
}

static mpfr_t r22995, r22996, r22997, r22998, r22999, r23000, r23001, r23002, r23003, r23004, r23005, r23006, r23007, r23008;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r22995);
        mpfr_init(r22996);
        mpfr_init_set_str(r22997, "2", 10, MPFR_RNDN);
        mpfr_init(r22998);
        mpfr_init(r22999);
        mpfr_init_set_str(r23000, "1", 10, MPFR_RNDN);
        mpfr_init(r23001);
        mpfr_init(r23002);
        mpfr_init(r23003);
        mpfr_init(r23004);
        mpfr_init(r23005);
        mpfr_init(r23006);
        mpfr_init(r23007);
        mpfr_init(r23008);
}

double f_fm(double k, double n) {
        mpfr_set_d(r22995, n, MPFR_RNDN);
        mpfr_const_pi(r22996, MPFR_RNDN);
        ;
        mpfr_mul(r22998, r22996, r22997, MPFR_RNDN);
        mpfr_mul(r22999, r22995, r22998, MPFR_RNDN);
        ;
        mpfr_div(r23001, r23000, r22997, MPFR_RNDN);
        mpfr_pow(r23002, r22999, r23001, MPFR_RNDN);
        mpfr_set_d(r23003, k, MPFR_RNDN);
        mpfr_sqrt(r23004, r23003, MPFR_RNDN);
        mpfr_div(r23005, r23003, r22997, MPFR_RNDN);
        mpfr_pow(r23006, r22999, r23005, MPFR_RNDN);
        mpfr_mul(r23007, r23004, r23006, MPFR_RNDN);
        mpfr_div(r23008, r23002, r23007, MPFR_RNDN);
        return mpfr_get_d(r23008, MPFR_RNDN);
}

static mpfr_t r23009, r23010, r23011, r23012, r23013, r23014, r23015, r23016, r23017, r23018, r23019, r23020, r23021, r23022;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23009);
        mpfr_init(r23010);
        mpfr_init_set_str(r23011, "2", 10, MPFR_RNDN);
        mpfr_init(r23012);
        mpfr_init(r23013);
        mpfr_init_set_str(r23014, "1", 10, MPFR_RNDN);
        mpfr_init(r23015);
        mpfr_init(r23016);
        mpfr_init(r23017);
        mpfr_init(r23018);
        mpfr_init(r23019);
        mpfr_init(r23020);
        mpfr_init(r23021);
        mpfr_init(r23022);
}

double f_dm(double k, double n) {
        mpfr_set_d(r23009, n, MPFR_RNDN);
        mpfr_const_pi(r23010, MPFR_RNDN);
        ;
        mpfr_mul(r23012, r23010, r23011, MPFR_RNDN);
        mpfr_mul(r23013, r23009, r23012, MPFR_RNDN);
        ;
        mpfr_div(r23015, r23014, r23011, MPFR_RNDN);
        mpfr_pow(r23016, r23013, r23015, MPFR_RNDN);
        mpfr_set_d(r23017, k, MPFR_RNDN);
        mpfr_sqrt(r23018, r23017, MPFR_RNDN);
        mpfr_div(r23019, r23017, r23011, MPFR_RNDN);
        mpfr_pow(r23020, r23013, r23019, MPFR_RNDN);
        mpfr_mul(r23021, r23018, r23020, MPFR_RNDN);
        mpfr_div(r23022, r23016, r23021, MPFR_RNDN);
        return mpfr_get_d(r23022, MPFR_RNDN);
}