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

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


double f_of(float k, float n) {
        float r22962 = n;
        float r22963 = atan2(1.0, 0.0);
        float r22964 = 2;
        float r22965 = r22963 * r22964;
        float r22966 = r22962 * r22965;
        float r22967 = 1;
        float r22968 = r22967 / r22964;
        float r22969 = pow(r22966, r22968);
        float r22970 = k;
        float r22971 = r22970 / r22964;
        float r22972 = pow(r22966, r22971);
        float r22973 = r22969 / r22972;
        float r22974 = sqrt(r22970);
        float r22975 = r22973 / r22974;
        return r22975;
}

double f_od(double k, double n) {
        double r22976 = n;
        double r22977 = atan2(1.0, 0.0);
        double r22978 = 2;
        double r22979 = r22977 * r22978;
        double r22980 = r22976 * r22979;
        double r22981 = 1;
        double r22982 = r22981 / r22978;
        double r22983 = pow(r22980, r22982);
        double r22984 = k;
        double r22985 = r22984 / r22978;
        double r22986 = pow(r22980, r22985);
        double r22987 = r22983 / r22986;
        double r22988 = sqrt(r22984);
        double r22989 = r22987 / r22988;
        return r22989;
}

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

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

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

static mpfr_t r23003, r23004, r23005, r23006, r23007, r23008, r23009, r23010, r23011, r23012, r23013, r23014, r23015, r23016;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23003);
        mpfr_init(r23004);
        mpfr_init_set_str(r23005, "2", 10, MPFR_RNDN);
        mpfr_init(r23006);
        mpfr_init(r23007);
        mpfr_init_set_str(r23008, "1", 10, MPFR_RNDN);
        mpfr_init(r23009);
        mpfr_init(r23010);
        mpfr_init(r23011);
        mpfr_init(r23012);
        mpfr_init(r23013);
        mpfr_init(r23014);
        mpfr_init(r23015);
        mpfr_init(r23016);
}

double f_fm(double k, double n) {
        mpfr_set_d(r23003, n, MPFR_RNDN);
        mpfr_const_pi(r23004, MPFR_RNDN);
        ;
        mpfr_mul(r23006, r23004, r23005, MPFR_RNDN);
        mpfr_mul(r23007, r23003, r23006, MPFR_RNDN);
        ;
        mpfr_div(r23009, r23008, r23005, MPFR_RNDN);
        mpfr_pow(r23010, r23007, r23009, MPFR_RNDN);
        mpfr_set_d(r23011, k, MPFR_RNDN);
        mpfr_div(r23012, r23011, r23005, MPFR_RNDN);
        mpfr_pow(r23013, r23007, r23012, MPFR_RNDN);
        mpfr_div(r23014, r23010, r23013, MPFR_RNDN);
        mpfr_sqrt(r23015, r23011, MPFR_RNDN);
        mpfr_div(r23016, r23014, r23015, MPFR_RNDN);
        return mpfr_get_d(r23016, MPFR_RNDN);
}

static mpfr_t r23017, r23018, r23019, r23020, r23021, r23022, r23023, r23024, r23025, r23026, r23027, r23028, r23029, r23030;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23017);
        mpfr_init(r23018);
        mpfr_init_set_str(r23019, "2", 10, MPFR_RNDN);
        mpfr_init(r23020);
        mpfr_init(r23021);
        mpfr_init_set_str(r23022, "1", 10, MPFR_RNDN);
        mpfr_init(r23023);
        mpfr_init(r23024);
        mpfr_init(r23025);
        mpfr_init(r23026);
        mpfr_init(r23027);
        mpfr_init(r23028);
        mpfr_init(r23029);
        mpfr_init(r23030);
}

double f_dm(double k, double n) {
        mpfr_set_d(r23017, n, MPFR_RNDN);
        mpfr_const_pi(r23018, MPFR_RNDN);
        ;
        mpfr_mul(r23020, r23018, r23019, MPFR_RNDN);
        mpfr_mul(r23021, r23017, r23020, MPFR_RNDN);
        ;
        mpfr_div(r23023, r23022, r23019, MPFR_RNDN);
        mpfr_pow(r23024, r23021, r23023, MPFR_RNDN);
        mpfr_set_d(r23025, k, MPFR_RNDN);
        mpfr_div(r23026, r23025, r23019, MPFR_RNDN);
        mpfr_pow(r23027, r23021, r23026, MPFR_RNDN);
        mpfr_div(r23028, r23024, r23027, MPFR_RNDN);
        mpfr_sqrt(r23029, r23025, MPFR_RNDN);
        mpfr_div(r23030, r23028, r23029, MPFR_RNDN);
        return mpfr_get_d(r23030, MPFR_RNDN);
}