#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 r22956 = 1;
        float r22957 = k;
        float r22958 = sqrt(r22957);
        float r22959 = r22956 / r22958;
        float r22960 = 2;
        float r22961 = atan2(1.0, 0.0);
        float r22962 = r22960 * r22961;
        float r22963 = n;
        float r22964 = r22962 * r22963;
        float r22965 = r22956 - r22957;
        float r22966 = r22965 / r22960;
        float r22967 = pow(r22964, r22966);
        float r22968 = r22959 * r22967;
        return r22968;
}

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


double f_of(float k, float n) {
        float r22982 = n;
        float r22983 = atan2(1.0, 0.0);
        float r22984 = 2;
        float r22985 = r22983 * r22984;
        float r22986 = r22982 * r22985;
        float r22987 = 1;
        float r22988 = r22987 / r22984;
        float r22989 = pow(r22986, r22988);
        float r22990 = k;
        float r22991 = sqrt(r22990);
        float r22992 = r22990 / r22984;
        float r22993 = pow(r22986, r22992);
        float r22994 = r22991 * r22993;
        float r22995 = r22989 / r22994;
        return r22995;
}

double f_od(double k, double n) {
        double r22996 = n;
        double r22997 = atan2(1.0, 0.0);
        double r22998 = 2;
        double r22999 = r22997 * r22998;
        double r23000 = r22996 * r22999;
        double r23001 = 1;
        double r23002 = r23001 / r22998;
        double r23003 = pow(r23000, r23002);
        double r23004 = k;
        double r23005 = sqrt(r23004);
        double r23006 = r23004 / r22998;
        double r23007 = pow(r23000, r23006);
        double r23008 = r23005 * r23007;
        double r23009 = r23003 / r23008;
        return r23009;
}

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

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init_set_str(r23010, "1", 10, MPFR_RNDN);
        mpfr_init(r23011);
        mpfr_init(r23012);
        mpfr_init(r23013);
        mpfr_init_set_str(r23014, "2", 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_im(double k, double n) {
        ;
        mpfr_set_d(r23011, k, MPFR_RNDN);
        mpfr_sqrt(r23012, r23011, MPFR_RNDN);
        mpfr_div(r23013, r23010, r23012, MPFR_RNDN);
        ;
        mpfr_const_pi(r23015, MPFR_RNDN);
        mpfr_mul(r23016, r23014, r23015, MPFR_RNDN);
        mpfr_set_d(r23017, n, MPFR_RNDN);
        mpfr_mul(r23018, r23016, r23017, MPFR_RNDN);
        mpfr_sub(r23019, r23010, r23011, MPFR_RNDN);
        mpfr_div(r23020, r23019, r23014, MPFR_RNDN);
        mpfr_pow(r23021, r23018, r23020, MPFR_RNDN);
        mpfr_mul(r23022, r23013, r23021, MPFR_RNDN);
        return mpfr_get_d(r23022, MPFR_RNDN);
}

static mpfr_t r23023, r23024, r23025, r23026, r23027, r23028, r23029, r23030, r23031, r23032, r23033, r23034, r23035, r23036;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23023);
        mpfr_init(r23024);
        mpfr_init_set_str(r23025, "2", 10, MPFR_RNDN);
        mpfr_init(r23026);
        mpfr_init(r23027);
        mpfr_init_set_str(r23028, "1", 10, MPFR_RNDN);
        mpfr_init(r23029);
        mpfr_init(r23030);
        mpfr_init(r23031);
        mpfr_init(r23032);
        mpfr_init(r23033);
        mpfr_init(r23034);
        mpfr_init(r23035);
        mpfr_init(r23036);
}

double f_fm(double k, double n) {
        mpfr_set_d(r23023, n, MPFR_RNDN);
        mpfr_const_pi(r23024, MPFR_RNDN);
        ;
        mpfr_mul(r23026, r23024, r23025, MPFR_RNDN);
        mpfr_mul(r23027, r23023, r23026, MPFR_RNDN);
        ;
        mpfr_div(r23029, r23028, r23025, MPFR_RNDN);
        mpfr_pow(r23030, r23027, r23029, MPFR_RNDN);
        mpfr_set_d(r23031, k, MPFR_RNDN);
        mpfr_sqrt(r23032, r23031, MPFR_RNDN);
        mpfr_div(r23033, r23031, r23025, MPFR_RNDN);
        mpfr_pow(r23034, r23027, r23033, MPFR_RNDN);
        mpfr_mul(r23035, r23032, r23034, MPFR_RNDN);
        mpfr_div(r23036, r23030, r23035, MPFR_RNDN);
        return mpfr_get_d(r23036, MPFR_RNDN);
}

static mpfr_t r23037, r23038, r23039, r23040, r23041, r23042, r23043, r23044, r23045, r23046, r23047, r23048, r23049, r23050;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23037);
        mpfr_init(r23038);
        mpfr_init_set_str(r23039, "2", 10, MPFR_RNDN);
        mpfr_init(r23040);
        mpfr_init(r23041);
        mpfr_init_set_str(r23042, "1", 10, MPFR_RNDN);
        mpfr_init(r23043);
        mpfr_init(r23044);
        mpfr_init(r23045);
        mpfr_init(r23046);
        mpfr_init(r23047);
        mpfr_init(r23048);
        mpfr_init(r23049);
        mpfr_init(r23050);
}

double f_dm(double k, double n) {
        mpfr_set_d(r23037, n, MPFR_RNDN);
        mpfr_const_pi(r23038, MPFR_RNDN);
        ;
        mpfr_mul(r23040, r23038, r23039, MPFR_RNDN);
        mpfr_mul(r23041, r23037, r23040, MPFR_RNDN);
        ;
        mpfr_div(r23043, r23042, r23039, MPFR_RNDN);
        mpfr_pow(r23044, r23041, r23043, MPFR_RNDN);
        mpfr_set_d(r23045, k, MPFR_RNDN);
        mpfr_sqrt(r23046, r23045, MPFR_RNDN);
        mpfr_div(r23047, r23045, r23039, MPFR_RNDN);
        mpfr_pow(r23048, r23041, r23047, MPFR_RNDN);
        mpfr_mul(r23049, r23046, r23048, MPFR_RNDN);
        mpfr_div(r23050, r23044, r23049, MPFR_RNDN);
        return mpfr_get_d(r23050, MPFR_RNDN);
}