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

double f_od(double k, double n) {
        double r23063 = k;
        double r23064 = 1/2;
        double r23065 = -r23064;
        double r23066 = pow(r23063, r23065);
        double r23067 = 2;
        double r23068 = atan2(1.0, 0.0);
        double r23069 = r23067 * r23068;
        double r23070 = n;
        double r23071 = r23069 * r23070;
        double r23072 = 1;
        double r23073 = r23072 - r23063;
        double r23074 = r23073 / r23067;
        double r23075 = pow(r23071, r23074);
        double r23076 = r23066 * r23075;
        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(1360);
        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(1360);
        mpfr_init(r23090);
        mpfr_init_set_str(r23091, "1/2", 10, MPFR_RNDN);
        mpfr_init(r23092);
        mpfr_init(r23093);
        mpfr_init_set_str(r23094, "2", 10, MPFR_RNDN);
        mpfr_init(r23095);
        mpfr_init(r23096);
        mpfr_init(r23097);
        mpfr_init(r23098);
        mpfr_init_set_str(r23099, "1", 10, MPFR_RNDN);
        mpfr_init(r23100);
        mpfr_init(r23101);
        mpfr_init(r23102);
        mpfr_init(r23103);
}

double f_fm(double k, double n) {
        mpfr_set_d(r23090, k, MPFR_RNDN);
        ;
        mpfr_neg(r23092, r23091, MPFR_RNDN);
        mpfr_pow(r23093, r23090, r23092, MPFR_RNDN);
        ;
        mpfr_const_pi(r23095, MPFR_RNDN);
        mpfr_mul(r23096, r23094, r23095, MPFR_RNDN);
        mpfr_set_d(r23097, n, MPFR_RNDN);
        mpfr_mul(r23098, r23096, r23097, MPFR_RNDN);
        ;
        mpfr_sub(r23100, r23099, r23090, MPFR_RNDN);
        mpfr_div(r23101, r23100, r23094, MPFR_RNDN);
        mpfr_pow(r23102, r23098, r23101, MPFR_RNDN);
        mpfr_mul(r23103, r23093, r23102, 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(1360);
        mpfr_init(r23104);
        mpfr_init_set_str(r23105, "1/2", 10, MPFR_RNDN);
        mpfr_init(r23106);
        mpfr_init(r23107);
        mpfr_init_set_str(r23108, "2", 10, MPFR_RNDN);
        mpfr_init(r23109);
        mpfr_init(r23110);
        mpfr_init(r23111);
        mpfr_init(r23112);
        mpfr_init_set_str(r23113, "1", 10, MPFR_RNDN);
        mpfr_init(r23114);
        mpfr_init(r23115);
        mpfr_init(r23116);
        mpfr_init(r23117);
}

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