#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 r22951 = 1;
        float r22952 = k;
        float r22953 = sqrt(r22952);
        float r22954 = r22951 / r22953;
        float r22955 = 2;
        float r22956 = atan2(1.0, 0.0);
        float r22957 = r22955 * r22956;
        float r22958 = n;
        float r22959 = r22957 * r22958;
        float r22960 = r22951 - r22952;
        float r22961 = r22960 / r22955;
        float r22962 = pow(r22959, r22961);
        float r22963 = r22954 * r22962;
        return r22963;
}

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


double f_of(float k, float n) {
        float r22977 = n;
        float r22978 = atan2(1.0, 0.0);
        float r22979 = 2;
        float r22980 = r22978 * r22979;
        float r22981 = r22977 * r22980;
        float r22982 = 1;
        float r22983 = r22982 / r22979;
        float r22984 = pow(r22981, r22983);
        float r22985 = k;
        float r22986 = sqrt(r22985);
        float r22987 = r22985 / r22979;
        float r22988 = pow(r22981, r22987);
        float r22989 = r22986 * r22988;
        float r22990 = r22984 / r22989;
        return r22990;
}

double f_od(double k, double n) {
        double r22991 = n;
        double r22992 = atan2(1.0, 0.0);
        double r22993 = 2;
        double r22994 = r22992 * r22993;
        double r22995 = r22991 * r22994;
        double r22996 = 1;
        double r22997 = r22996 / r22993;
        double r22998 = pow(r22995, r22997);
        double r22999 = k;
        double r23000 = sqrt(r22999);
        double r23001 = r22999 / r22993;
        double r23002 = pow(r22995, r23001);
        double r23003 = r23000 * r23002;
        double r23004 = r22998 / r23003;
        return r23004;
}

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

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init_set_str(r23005, "1", 10, MPFR_RNDN);
        mpfr_init(r23006);
        mpfr_init(r23007);
        mpfr_init(r23008);
        mpfr_init_set_str(r23009, "2", 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_im(double k, double n) {
        ;
        mpfr_set_d(r23006, k, MPFR_RNDN);
        mpfr_sqrt(r23007, r23006, MPFR_RNDN);
        mpfr_div(r23008, r23005, r23007, MPFR_RNDN);
        ;
        mpfr_const_pi(r23010, MPFR_RNDN);
        mpfr_mul(r23011, r23009, r23010, MPFR_RNDN);
        mpfr_set_d(r23012, n, MPFR_RNDN);
        mpfr_mul(r23013, r23011, r23012, MPFR_RNDN);
        mpfr_sub(r23014, r23005, r23006, MPFR_RNDN);
        mpfr_div(r23015, r23014, r23009, MPFR_RNDN);
        mpfr_pow(r23016, r23013, r23015, MPFR_RNDN);
        mpfr_mul(r23017, r23008, r23016, MPFR_RNDN);
        return mpfr_get_d(r23017, MPFR_RNDN);
}

static mpfr_t r23018, r23019, r23020, r23021, r23022, r23023, r23024, r23025, r23026, r23027, r23028, r23029, r23030, r23031;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23018);
        mpfr_init(r23019);
        mpfr_init_set_str(r23020, "2", 10, MPFR_RNDN);
        mpfr_init(r23021);
        mpfr_init(r23022);
        mpfr_init_set_str(r23023, "1", 10, MPFR_RNDN);
        mpfr_init(r23024);
        mpfr_init(r23025);
        mpfr_init(r23026);
        mpfr_init(r23027);
        mpfr_init(r23028);
        mpfr_init(r23029);
        mpfr_init(r23030);
        mpfr_init(r23031);
}

double f_fm(double k, double n) {
        mpfr_set_d(r23018, n, MPFR_RNDN);
        mpfr_const_pi(r23019, MPFR_RNDN);
        ;
        mpfr_mul(r23021, r23019, r23020, MPFR_RNDN);
        mpfr_mul(r23022, r23018, r23021, MPFR_RNDN);
        ;
        mpfr_div(r23024, r23023, r23020, MPFR_RNDN);
        mpfr_pow(r23025, r23022, r23024, MPFR_RNDN);
        mpfr_set_d(r23026, k, MPFR_RNDN);
        mpfr_sqrt(r23027, r23026, MPFR_RNDN);
        mpfr_div(r23028, r23026, r23020, MPFR_RNDN);
        mpfr_pow(r23029, r23022, r23028, MPFR_RNDN);
        mpfr_mul(r23030, r23027, r23029, MPFR_RNDN);
        mpfr_div(r23031, r23025, r23030, MPFR_RNDN);
        return mpfr_get_d(r23031, MPFR_RNDN);
}

static mpfr_t r23032, r23033, r23034, r23035, r23036, r23037, r23038, r23039, r23040, r23041, r23042, r23043, r23044, r23045;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23032);
        mpfr_init(r23033);
        mpfr_init_set_str(r23034, "2", 10, MPFR_RNDN);
        mpfr_init(r23035);
        mpfr_init(r23036);
        mpfr_init_set_str(r23037, "1", 10, MPFR_RNDN);
        mpfr_init(r23038);
        mpfr_init(r23039);
        mpfr_init(r23040);
        mpfr_init(r23041);
        mpfr_init(r23042);
        mpfr_init(r23043);
        mpfr_init(r23044);
        mpfr_init(r23045);
}

double f_dm(double k, double n) {
        mpfr_set_d(r23032, n, MPFR_RNDN);
        mpfr_const_pi(r23033, MPFR_RNDN);
        ;
        mpfr_mul(r23035, r23033, r23034, MPFR_RNDN);
        mpfr_mul(r23036, r23032, r23035, MPFR_RNDN);
        ;
        mpfr_div(r23038, r23037, r23034, MPFR_RNDN);
        mpfr_pow(r23039, r23036, r23038, MPFR_RNDN);
        mpfr_set_d(r23040, k, MPFR_RNDN);
        mpfr_sqrt(r23041, r23040, MPFR_RNDN);
        mpfr_div(r23042, r23040, r23034, MPFR_RNDN);
        mpfr_pow(r23043, r23036, r23042, MPFR_RNDN);
        mpfr_mul(r23044, r23041, r23043, MPFR_RNDN);
        mpfr_div(r23045, r23039, r23044, MPFR_RNDN);
        return mpfr_get_d(r23045, MPFR_RNDN);
}