#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 = n;
        float r23047 = 1;
        float r23048 = 2;
        float r23049 = r23047 / r23048;
        float r23050 = pow(r23046, r23049);
        float r23051 = k;
        float r23052 = r23051 / r23048;
        float r23053 = pow(r23046, r23052);
        float r23054 = r23050 / r23053;
        float r23055 = atan2(1.0, 0.0);
        float r23056 = r23055 * r23048;
        float r23057 = r23047 - r23051;
        float r23058 = r23057 / r23048;
        float r23059 = pow(r23056, r23058);
        float r23060 = sqrt(r23051);
        float r23061 = r23059 / r23060;
        float r23062 = r23054 * r23061;
        return r23062;
}

double f_od(double k, double n) {
        double r23063 = n;
        double r23064 = 1;
        double r23065 = 2;
        double r23066 = r23064 / r23065;
        double r23067 = pow(r23063, r23066);
        double r23068 = k;
        double r23069 = r23068 / r23065;
        double r23070 = pow(r23063, r23069);
        double r23071 = r23067 / r23070;
        double r23072 = atan2(1.0, 0.0);
        double r23073 = r23072 * r23065;
        double r23074 = r23064 - r23068;
        double r23075 = r23074 / r23065;
        double r23076 = pow(r23073, r23075);
        double r23077 = sqrt(r23068);
        double r23078 = r23076 / r23077;
        double r23079 = r23071 * r23078;
        return r23079;
}

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 r23080, r23081, r23082, r23083, r23084, r23085, r23086, r23087, r23088, r23089, r23090, r23091, r23092;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init_set_str(r23080, "1", 10, MPFR_RNDN);
        mpfr_init(r23081);
        mpfr_init(r23082);
        mpfr_init(r23083);
        mpfr_init_set_str(r23084, "2", 10, MPFR_RNDN);
        mpfr_init(r23085);
        mpfr_init(r23086);
        mpfr_init(r23087);
        mpfr_init(r23088);
        mpfr_init(r23089);
        mpfr_init(r23090);
        mpfr_init(r23091);
        mpfr_init(r23092);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r23081, k, MPFR_RNDN);
        mpfr_sqrt(r23082, r23081, MPFR_RNDN);
        mpfr_div(r23083, r23080, r23082, MPFR_RNDN);
        ;
        mpfr_const_pi(r23085, MPFR_RNDN);
        mpfr_mul(r23086, r23084, r23085, MPFR_RNDN);
        mpfr_set_d(r23087, n, MPFR_RNDN);
        mpfr_mul(r23088, r23086, r23087, MPFR_RNDN);
        mpfr_sub(r23089, r23080, r23081, MPFR_RNDN);
        mpfr_div(r23090, r23089, r23084, MPFR_RNDN);
        mpfr_pow(r23091, r23088, r23090, MPFR_RNDN);
        mpfr_mul(r23092, r23083, r23091, MPFR_RNDN);
        return mpfr_get_d(r23092, MPFR_RNDN);
}

static mpfr_t r23093, r23094, r23095, r23096, r23097, r23098, r23099, r23100, r23101, r23102, r23103, r23104, r23105, r23106, r23107, r23108, r23109;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23093);
        mpfr_init_set_str(r23094, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r23095, "2", 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);
        mpfr_init(r23104);
        mpfr_init(r23105);
        mpfr_init(r23106);
        mpfr_init(r23107);
        mpfr_init(r23108);
        mpfr_init(r23109);
}

double f_fm(double k, double n) {
        mpfr_set_d(r23093, n, MPFR_RNDN);
        ;
        ;
        mpfr_div(r23096, r23094, r23095, MPFR_RNDN);
        mpfr_pow(r23097, r23093, r23096, MPFR_RNDN);
        mpfr_set_d(r23098, k, MPFR_RNDN);
        mpfr_div(r23099, r23098, r23095, MPFR_RNDN);
        mpfr_pow(r23100, r23093, r23099, MPFR_RNDN);
        mpfr_div(r23101, r23097, r23100, MPFR_RNDN);
        mpfr_const_pi(r23102, MPFR_RNDN);
        mpfr_mul(r23103, r23102, r23095, MPFR_RNDN);
        mpfr_sub(r23104, r23094, r23098, MPFR_RNDN);
        mpfr_div(r23105, r23104, r23095, MPFR_RNDN);
        mpfr_pow(r23106, r23103, r23105, MPFR_RNDN);
        mpfr_sqrt(r23107, r23098, MPFR_RNDN);
        mpfr_div(r23108, r23106, r23107, MPFR_RNDN);
        mpfr_mul(r23109, r23101, r23108, MPFR_RNDN);
        return mpfr_get_d(r23109, MPFR_RNDN);
}

static mpfr_t r23110, r23111, r23112, r23113, r23114, r23115, r23116, r23117, r23118, r23119, r23120, r23121, r23122, r23123, r23124, r23125, r23126;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23110);
        mpfr_init_set_str(r23111, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r23112, "2", 10, MPFR_RNDN);
        mpfr_init(r23113);
        mpfr_init(r23114);
        mpfr_init(r23115);
        mpfr_init(r23116);
        mpfr_init(r23117);
        mpfr_init(r23118);
        mpfr_init(r23119);
        mpfr_init(r23120);
        mpfr_init(r23121);
        mpfr_init(r23122);
        mpfr_init(r23123);
        mpfr_init(r23124);
        mpfr_init(r23125);
        mpfr_init(r23126);
}

double f_dm(double k, double n) {
        mpfr_set_d(r23110, n, MPFR_RNDN);
        ;
        ;
        mpfr_div(r23113, r23111, r23112, MPFR_RNDN);
        mpfr_pow(r23114, r23110, r23113, MPFR_RNDN);
        mpfr_set_d(r23115, k, MPFR_RNDN);
        mpfr_div(r23116, r23115, r23112, MPFR_RNDN);
        mpfr_pow(r23117, r23110, r23116, MPFR_RNDN);
        mpfr_div(r23118, r23114, r23117, MPFR_RNDN);
        mpfr_const_pi(r23119, MPFR_RNDN);
        mpfr_mul(r23120, r23119, r23112, MPFR_RNDN);
        mpfr_sub(r23121, r23111, r23115, MPFR_RNDN);
        mpfr_div(r23122, r23121, r23112, MPFR_RNDN);
        mpfr_pow(r23123, r23120, r23122, MPFR_RNDN);
        mpfr_sqrt(r23124, r23115, MPFR_RNDN);
        mpfr_div(r23125, r23123, r23124, MPFR_RNDN);
        mpfr_mul(r23126, r23118, r23125, MPFR_RNDN);
        return mpfr_get_d(r23126, MPFR_RNDN);
}

