#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 r23023 = 1;
        float r23024 = k;
        float r23025 = sqrt(r23024);
        float r23026 = r23023 / r23025;
        float r23027 = 2;
        float r23028 = atan2(1.0, 0.0);
        float r23029 = r23027 * r23028;
        float r23030 = n;
        float r23031 = r23029 * r23030;
        float r23032 = r23023 - r23024;
        float r23033 = r23032 / r23027;
        float r23034 = pow(r23031, r23033);
        float r23035 = r23026 * r23034;
        return r23035;
}

double f_id(double k, double n) {
        double r23036 = 1;
        double r23037 = k;
        double r23038 = sqrt(r23037);
        double r23039 = r23036 / r23038;
        double r23040 = 2;
        double r23041 = atan2(1.0, 0.0);
        double r23042 = r23040 * r23041;
        double r23043 = n;
        double r23044 = r23042 * r23043;
        double r23045 = r23036 - r23037;
        double r23046 = r23045 / r23040;
        double r23047 = pow(r23044, r23046);
        double r23048 = r23039 * r23047;
        return r23048;
}


double f_of(float k, float n) {
        float r23049 = n;
        float r23050 = atan2(1.0, 0.0);
        float r23051 = 2;
        float r23052 = r23050 * r23051;
        float r23053 = r23049 * r23052;
        float r23054 = 1;
        float r23055 = k;
        float r23056 = r23054 - r23055;
        float r23057 = r23056 / r23051;
        float r23058 = pow(r23053, r23057);
        float r23059 = sqrt(r23055);
        float r23060 = sqrt(r23059);
        float r23061 = r23058 / r23060;
        float r23062 = r23061 / r23060;
        return r23062;
}

double f_od(double k, double n) {
        double r23063 = n;
        double r23064 = atan2(1.0, 0.0);
        double r23065 = 2;
        double r23066 = r23064 * r23065;
        double r23067 = r23063 * r23066;
        double r23068 = 1;
        double r23069 = k;
        double r23070 = r23068 - r23069;
        double r23071 = r23070 / r23065;
        double r23072 = pow(r23067, r23071);
        double r23073 = sqrt(r23069);
        double r23074 = sqrt(r23073);
        double r23075 = r23072 / r23074;
        double r23076 = r23075 / r23074;
        return r23076;
}

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 r23077, r23078, r23079, r23080, r23081, r23082, r23083, r23084, r23085, r23086, r23087, r23088, r23089;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init_set_str(r23077, "1", 10, MPFR_RNDN);
        mpfr_init(r23078);
        mpfr_init(r23079);
        mpfr_init(r23080);
        mpfr_init_set_str(r23081, "2", 10, MPFR_RNDN);
        mpfr_init(r23082);
        mpfr_init(r23083);
        mpfr_init(r23084);
        mpfr_init(r23085);
        mpfr_init(r23086);
        mpfr_init(r23087);
        mpfr_init(r23088);
        mpfr_init(r23089);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r23078, k, MPFR_RNDN);
        mpfr_sqrt(r23079, r23078, MPFR_RNDN);
        mpfr_div(r23080, r23077, r23079, MPFR_RNDN);
        ;
        mpfr_const_pi(r23082, MPFR_RNDN);
        mpfr_mul(r23083, r23081, r23082, MPFR_RNDN);
        mpfr_set_d(r23084, n, MPFR_RNDN);
        mpfr_mul(r23085, r23083, r23084, MPFR_RNDN);
        mpfr_sub(r23086, r23077, r23078, MPFR_RNDN);
        mpfr_div(r23087, r23086, r23081, MPFR_RNDN);
        mpfr_pow(r23088, r23085, r23087, MPFR_RNDN);
        mpfr_mul(r23089, r23080, r23088, MPFR_RNDN);
        return mpfr_get_d(r23089, MPFR_RNDN);
}

static mpfr_t r23090, r23091, r23092, r23093, r23094, r23095, r23096, r23097, r23098, r23099, r23100, r23101, r23102, r23103;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r23090);
        mpfr_init(r23091);
        mpfr_init_set_str(r23092, "2", 10, MPFR_RNDN);
        mpfr_init(r23093);
        mpfr_init(r23094);
        mpfr_init_set_str(r23095, "1", 10, MPFR_RNDN);
        mpfr_init(r23096);
        mpfr_init(r23097);
        mpfr_init(r23098);
        mpfr_init(r23099);
        mpfr_init(r23100);
        mpfr_init(r23101);
        mpfr_init(r23102);
        mpfr_init(r23103);
}

double f_fm(double k, double n) {
        mpfr_set_d(r23090, n, MPFR_RNDN);
        mpfr_const_pi(r23091, MPFR_RNDN);
        ;
        mpfr_mul(r23093, r23091, r23092, MPFR_RNDN);
        mpfr_mul(r23094, r23090, r23093, MPFR_RNDN);
        ;
        mpfr_set_d(r23096, k, MPFR_RNDN);
        mpfr_sub(r23097, r23095, r23096, MPFR_RNDN);
        mpfr_div(r23098, r23097, r23092, MPFR_RNDN);
        mpfr_pow(r23099, r23094, r23098, MPFR_RNDN);
        mpfr_sqrt(r23100, r23096, MPFR_RNDN);
        mpfr_sqrt(r23101, r23100, MPFR_RNDN);
        mpfr_div(r23102, r23099, r23101, MPFR_RNDN);
        mpfr_div(r23103, r23102, r23101, MPFR_RNDN);
        return mpfr_get_d(r23103, MPFR_RNDN);
}

static mpfr_t r23104, r23105, r23106, r23107, r23108, r23109, r23110, r23111, r23112, r23113, r23114, r23115, r23116, r23117;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r23104);
        mpfr_init(r23105);
        mpfr_init_set_str(r23106, "2", 10, MPFR_RNDN);
        mpfr_init(r23107);
        mpfr_init(r23108);
        mpfr_init_set_str(r23109, "1", 10, MPFR_RNDN);
        mpfr_init(r23110);
        mpfr_init(r23111);
        mpfr_init(r23112);
        mpfr_init(r23113);
        mpfr_init(r23114);
        mpfr_init(r23115);
        mpfr_init(r23116);
        mpfr_init(r23117);
}

double f_dm(double k, double n) {
        mpfr_set_d(r23104, n, MPFR_RNDN);
        mpfr_const_pi(r23105, MPFR_RNDN);
        ;
        mpfr_mul(r23107, r23105, r23106, MPFR_RNDN);
        mpfr_mul(r23108, r23104, r23107, MPFR_RNDN);
        ;
        mpfr_set_d(r23110, k, MPFR_RNDN);
        mpfr_sub(r23111, r23109, r23110, MPFR_RNDN);
        mpfr_div(r23112, r23111, r23106, MPFR_RNDN);
        mpfr_pow(r23113, r23108, r23112, MPFR_RNDN);
        mpfr_sqrt(r23114, r23110, MPFR_RNDN);
        mpfr_sqrt(r23115, r23114, MPFR_RNDN);
        mpfr_div(r23116, r23113, r23115, MPFR_RNDN);
        mpfr_div(r23117, r23116, r23115, MPFR_RNDN);
        return mpfr_get_d(r23117, MPFR_RNDN);
}