#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 r23020 = 1;
        float r23021 = k;
        float r23022 = sqrt(r23021);
        float r23023 = r23020 / r23022;
        float r23024 = 2;
        float r23025 = atan2(1.0, 0.0);
        float r23026 = r23024 * r23025;
        float r23027 = n;
        float r23028 = r23026 * r23027;
        float r23029 = r23020 - r23021;
        float r23030 = r23029 / r23024;
        float r23031 = pow(r23028, r23030);
        float r23032 = r23023 * r23031;
        return r23032;
}

double f_id(double k, double n) {
        double r23033 = 1;
        double r23034 = k;
        double r23035 = sqrt(r23034);
        double r23036 = r23033 / r23035;
        double r23037 = 2;
        double r23038 = atan2(1.0, 0.0);
        double r23039 = r23037 * r23038;
        double r23040 = n;
        double r23041 = r23039 * r23040;
        double r23042 = r23033 - r23034;
        double r23043 = r23042 / r23037;
        double r23044 = pow(r23041, r23043);
        double r23045 = r23036 * r23044;
        return r23045;
}


double f_of(float k, float n) {
        float r23046 = 1;
        float r23047 = k;
        float r23048 = sqrt(r23047);
        float r23049 = n;
        float r23050 = atan2(1.0, 0.0);
        float r23051 = 2;
        float r23052 = r23050 * r23051;
        float r23053 = r23049 * r23052;
        float r23054 = r23046 - r23047;
        float r23055 = r23054 / r23051;
        float r23056 = pow(r23053, r23055);
        float r23057 = r23048 / r23056;
        float r23058 = r23046 / r23057;
        return r23058;
}

double f_od(double k, double n) {
        double r23059 = 1;
        double r23060 = k;
        double r23061 = sqrt(r23060);
        double r23062 = n;
        double r23063 = atan2(1.0, 0.0);
        double r23064 = 2;
        double r23065 = r23063 * r23064;
        double r23066 = r23062 * r23065;
        double r23067 = r23059 - r23060;
        double r23068 = r23067 / r23064;
        double r23069 = pow(r23066, r23068);
        double r23070 = r23061 / r23069;
        double r23071 = r23059 / r23070;
        return r23071;
}

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 r23072, r23073, r23074, r23075, r23076, r23077, r23078, r23079, r23080, r23081, r23082, r23083, r23084;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init_set_str(r23072, "1", 10, MPFR_RNDN);
        mpfr_init(r23073);
        mpfr_init(r23074);
        mpfr_init(r23075);
        mpfr_init_set_str(r23076, "2", 10, MPFR_RNDN);
        mpfr_init(r23077);
        mpfr_init(r23078);
        mpfr_init(r23079);
        mpfr_init(r23080);
        mpfr_init(r23081);
        mpfr_init(r23082);
        mpfr_init(r23083);
        mpfr_init(r23084);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r23073, k, MPFR_RNDN);
        mpfr_sqrt(r23074, r23073, MPFR_RNDN);
        mpfr_div(r23075, r23072, r23074, MPFR_RNDN);
        ;
        mpfr_const_pi(r23077, MPFR_RNDN);
        mpfr_mul(r23078, r23076, r23077, MPFR_RNDN);
        mpfr_set_d(r23079, n, MPFR_RNDN);
        mpfr_mul(r23080, r23078, r23079, MPFR_RNDN);
        mpfr_sub(r23081, r23072, r23073, MPFR_RNDN);
        mpfr_div(r23082, r23081, r23076, MPFR_RNDN);
        mpfr_pow(r23083, r23080, r23082, MPFR_RNDN);
        mpfr_mul(r23084, r23075, r23083, MPFR_RNDN);
        return mpfr_get_d(r23084, MPFR_RNDN);
}

static mpfr_t r23085, r23086, r23087, r23088, r23089, r23090, r23091, r23092, r23093, r23094, r23095, r23096, r23097;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init_set_str(r23085, "1", 10, MPFR_RNDN);
        mpfr_init(r23086);
        mpfr_init(r23087);
        mpfr_init(r23088);
        mpfr_init(r23089);
        mpfr_init_set_str(r23090, "2", 10, MPFR_RNDN);
        mpfr_init(r23091);
        mpfr_init(r23092);
        mpfr_init(r23093);
        mpfr_init(r23094);
        mpfr_init(r23095);
        mpfr_init(r23096);
        mpfr_init(r23097);
}

double f_fm(double k, double n) {
        ;
        mpfr_set_d(r23086, k, MPFR_RNDN);
        mpfr_sqrt(r23087, r23086, MPFR_RNDN);
        mpfr_set_d(r23088, n, MPFR_RNDN);
        mpfr_const_pi(r23089, MPFR_RNDN);
        ;
        mpfr_mul(r23091, r23089, r23090, MPFR_RNDN);
        mpfr_mul(r23092, r23088, r23091, MPFR_RNDN);
        mpfr_sub(r23093, r23085, r23086, MPFR_RNDN);
        mpfr_div(r23094, r23093, r23090, MPFR_RNDN);
        mpfr_pow(r23095, r23092, r23094, MPFR_RNDN);
        mpfr_div(r23096, r23087, r23095, MPFR_RNDN);
        mpfr_div(r23097, r23085, r23096, MPFR_RNDN);
        return mpfr_get_d(r23097, MPFR_RNDN);
}

static mpfr_t r23098, r23099, r23100, r23101, r23102, r23103, r23104, r23105, r23106, r23107, r23108, r23109, r23110;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init_set_str(r23098, "1", 10, MPFR_RNDN);
        mpfr_init(r23099);
        mpfr_init(r23100);
        mpfr_init(r23101);
        mpfr_init(r23102);
        mpfr_init_set_str(r23103, "2", 10, MPFR_RNDN);
        mpfr_init(r23104);
        mpfr_init(r23105);
        mpfr_init(r23106);
        mpfr_init(r23107);
        mpfr_init(r23108);
        mpfr_init(r23109);
        mpfr_init(r23110);
}

double f_dm(double k, double n) {
        ;
        mpfr_set_d(r23099, k, MPFR_RNDN);
        mpfr_sqrt(r23100, r23099, MPFR_RNDN);
        mpfr_set_d(r23101, n, MPFR_RNDN);
        mpfr_const_pi(r23102, MPFR_RNDN);
        ;
        mpfr_mul(r23104, r23102, r23103, MPFR_RNDN);
        mpfr_mul(r23105, r23101, r23104, MPFR_RNDN);
        mpfr_sub(r23106, r23098, r23099, MPFR_RNDN);
        mpfr_div(r23107, r23106, r23103, MPFR_RNDN);
        mpfr_pow(r23108, r23105, r23107, MPFR_RNDN);
        mpfr_div(r23109, r23100, r23108, MPFR_RNDN);
        mpfr_div(r23110, r23098, r23109, MPFR_RNDN);
        return mpfr_get_d(r23110, MPFR_RNDN);
}