#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 r22923 = 1;
        float r22924 = k;
        float r22925 = sqrt(r22924);
        float r22926 = r22923 / r22925;
        float r22927 = 2;
        float r22928 = atan2(1.0, 0.0);
        float r22929 = r22927 * r22928;
        float r22930 = n;
        float r22931 = r22929 * r22930;
        float r22932 = r22923 - r22924;
        float r22933 = r22932 / r22927;
        float r22934 = pow(r22931, r22933);
        float r22935 = r22926 * r22934;
        return r22935;
}

double f_id(double k, double n) {
        double r22936 = 1;
        double r22937 = k;
        double r22938 = sqrt(r22937);
        double r22939 = r22936 / r22938;
        double r22940 = 2;
        double r22941 = atan2(1.0, 0.0);
        double r22942 = r22940 * r22941;
        double r22943 = n;
        double r22944 = r22942 * r22943;
        double r22945 = r22936 - r22937;
        double r22946 = r22945 / r22940;
        double r22947 = pow(r22944, r22946);
        double r22948 = r22939 * r22947;
        return r22948;
}


double f_of(float k, float n) {
        float r22949 = n;
        float r22950 = atan2(1.0, 0.0);
        float r22951 = 2;
        float r22952 = r22950 * r22951;
        float r22953 = r22949 * r22952;
        float r22954 = 1;
        float r22955 = r22954 / r22951;
        float r22956 = pow(r22953, r22955);
        float r22957 = k;
        float r22958 = sqrt(r22957);
        float r22959 = r22957 / r22951;
        float r22960 = pow(r22953, r22959);
        float r22961 = r22958 * r22960;
        float r22962 = r22956 / r22961;
        return r22962;
}

double f_od(double k, double n) {
        double r22963 = n;
        double r22964 = atan2(1.0, 0.0);
        double r22965 = 2;
        double r22966 = r22964 * r22965;
        double r22967 = r22963 * r22966;
        double r22968 = 1;
        double r22969 = r22968 / r22965;
        double r22970 = pow(r22967, r22969);
        double r22971 = k;
        double r22972 = sqrt(r22971);
        double r22973 = r22971 / r22965;
        double r22974 = pow(r22967, r22973);
        double r22975 = r22972 * r22974;
        double r22976 = r22970 / r22975;
        return r22976;
}

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 r22977, r22978, r22979, r22980, r22981, r22982, r22983, r22984, r22985, r22986, r22987, r22988, r22989;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init_set_str(r22977, "1", 10, MPFR_RNDN);
        mpfr_init(r22978);
        mpfr_init(r22979);
        mpfr_init(r22980);
        mpfr_init_set_str(r22981, "2", 10, MPFR_RNDN);
        mpfr_init(r22982);
        mpfr_init(r22983);
        mpfr_init(r22984);
        mpfr_init(r22985);
        mpfr_init(r22986);
        mpfr_init(r22987);
        mpfr_init(r22988);
        mpfr_init(r22989);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r22978, k, MPFR_RNDN);
        mpfr_sqrt(r22979, r22978, MPFR_RNDN);
        mpfr_div(r22980, r22977, r22979, MPFR_RNDN);
        ;
        mpfr_const_pi(r22982, MPFR_RNDN);
        mpfr_mul(r22983, r22981, r22982, MPFR_RNDN);
        mpfr_set_d(r22984, n, MPFR_RNDN);
        mpfr_mul(r22985, r22983, r22984, MPFR_RNDN);
        mpfr_sub(r22986, r22977, r22978, MPFR_RNDN);
        mpfr_div(r22987, r22986, r22981, MPFR_RNDN);
        mpfr_pow(r22988, r22985, r22987, MPFR_RNDN);
        mpfr_mul(r22989, r22980, r22988, MPFR_RNDN);
        return mpfr_get_d(r22989, MPFR_RNDN);
}

static mpfr_t r22990, r22991, r22992, r22993, r22994, r22995, r22996, r22997, r22998, r22999, r23000, r23001, r23002, r23003;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r22990);
        mpfr_init(r22991);
        mpfr_init_set_str(r22992, "2", 10, MPFR_RNDN);
        mpfr_init(r22993);
        mpfr_init(r22994);
        mpfr_init_set_str(r22995, "1", 10, MPFR_RNDN);
        mpfr_init(r22996);
        mpfr_init(r22997);
        mpfr_init(r22998);
        mpfr_init(r22999);
        mpfr_init(r23000);
        mpfr_init(r23001);
        mpfr_init(r23002);
        mpfr_init(r23003);
}

double f_fm(double k, double n) {
        mpfr_set_d(r22990, n, MPFR_RNDN);
        mpfr_const_pi(r22991, MPFR_RNDN);
        ;
        mpfr_mul(r22993, r22991, r22992, MPFR_RNDN);
        mpfr_mul(r22994, r22990, r22993, MPFR_RNDN);
        ;
        mpfr_div(r22996, r22995, r22992, MPFR_RNDN);
        mpfr_pow(r22997, r22994, r22996, MPFR_RNDN);
        mpfr_set_d(r22998, k, MPFR_RNDN);
        mpfr_sqrt(r22999, r22998, MPFR_RNDN);
        mpfr_div(r23000, r22998, r22992, MPFR_RNDN);
        mpfr_pow(r23001, r22994, r23000, MPFR_RNDN);
        mpfr_mul(r23002, r22999, r23001, MPFR_RNDN);
        mpfr_div(r23003, r22997, r23002, MPFR_RNDN);
        return mpfr_get_d(r23003, MPFR_RNDN);
}

static mpfr_t r23004, r23005, r23006, r23007, r23008, r23009, r23010, r23011, r23012, r23013, r23014, r23015, r23016, r23017;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23004);
        mpfr_init(r23005);
        mpfr_init_set_str(r23006, "2", 10, MPFR_RNDN);
        mpfr_init(r23007);
        mpfr_init(r23008);
        mpfr_init_set_str(r23009, "1", 10, MPFR_RNDN);
        mpfr_init(r23010);
        mpfr_init(r23011);
        mpfr_init(r23012);
        mpfr_init(r23013);
        mpfr_init(r23014);
        mpfr_init(r23015);
        mpfr_init(r23016);
        mpfr_init(r23017);
}

double f_dm(double k, double n) {
        mpfr_set_d(r23004, n, MPFR_RNDN);
        mpfr_const_pi(r23005, MPFR_RNDN);
        ;
        mpfr_mul(r23007, r23005, r23006, MPFR_RNDN);
        mpfr_mul(r23008, r23004, r23007, MPFR_RNDN);
        ;
        mpfr_div(r23010, r23009, r23006, MPFR_RNDN);
        mpfr_pow(r23011, r23008, r23010, MPFR_RNDN);
        mpfr_set_d(r23012, k, MPFR_RNDN);
        mpfr_sqrt(r23013, r23012, MPFR_RNDN);
        mpfr_div(r23014, r23012, r23006, MPFR_RNDN);
        mpfr_pow(r23015, r23008, r23014, MPFR_RNDN);
        mpfr_mul(r23016, r23013, r23015, MPFR_RNDN);
        mpfr_div(r23017, r23011, r23016, MPFR_RNDN);
        return mpfr_get_d(r23017, MPFR_RNDN);
}