#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 r23038 = 1;
        float r23039 = k;
        float r23040 = sqrt(r23039);
        float r23041 = r23038 / r23040;
        float r23042 = 2;
        float r23043 = atan2(1.0, 0.0);
        float r23044 = r23042 * r23043;
        float r23045 = n;
        float r23046 = r23044 * r23045;
        float r23047 = r23038 - r23039;
        float r23048 = r23047 / r23042;
        float r23049 = pow(r23046, r23048);
        float r23050 = r23041 * r23049;
        return r23050;
}

double f_id(double k, double n) {
        double r23051 = 1;
        double r23052 = k;
        double r23053 = sqrt(r23052);
        double r23054 = r23051 / r23053;
        double r23055 = 2;
        double r23056 = atan2(1.0, 0.0);
        double r23057 = r23055 * r23056;
        double r23058 = n;
        double r23059 = r23057 * r23058;
        double r23060 = r23051 - r23052;
        double r23061 = r23060 / r23055;
        double r23062 = pow(r23059, r23061);
        double r23063 = r23054 * r23062;
        return r23063;
}


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

double f_od(double k, double n) {
        double r23078 = n;
        double r23079 = atan2(1.0, 0.0);
        double r23080 = 2;
        double r23081 = r23079 * r23080;
        double r23082 = r23078 * r23081;
        double r23083 = 1;
        double r23084 = k;
        double r23085 = r23083 - r23084;
        double r23086 = r23085 / r23080;
        double r23087 = pow(r23082, r23086);
        double r23088 = sqrt(r23084);
        double r23089 = sqrt(r23088);
        double r23090 = r23087 / r23089;
        double r23091 = r23090 / r23089;
        return r23091;
}

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 r23092, r23093, r23094, r23095, r23096, r23097, r23098, r23099, r23100, r23101, r23102, r23103, r23104;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init_set_str(r23092, "1", 10, MPFR_RNDN);
        mpfr_init(r23093);
        mpfr_init(r23094);
        mpfr_init(r23095);
        mpfr_init_set_str(r23096, "2", 10, MPFR_RNDN);
        mpfr_init(r23097);
        mpfr_init(r23098);
        mpfr_init(r23099);
        mpfr_init(r23100);
        mpfr_init(r23101);
        mpfr_init(r23102);
        mpfr_init(r23103);
        mpfr_init(r23104);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r23093, k, MPFR_RNDN);
        mpfr_sqrt(r23094, r23093, MPFR_RNDN);
        mpfr_div(r23095, r23092, r23094, MPFR_RNDN);
        ;
        mpfr_const_pi(r23097, MPFR_RNDN);
        mpfr_mul(r23098, r23096, r23097, MPFR_RNDN);
        mpfr_set_d(r23099, n, MPFR_RNDN);
        mpfr_mul(r23100, r23098, r23099, MPFR_RNDN);
        mpfr_sub(r23101, r23092, r23093, MPFR_RNDN);
        mpfr_div(r23102, r23101, r23096, MPFR_RNDN);
        mpfr_pow(r23103, r23100, r23102, MPFR_RNDN);
        mpfr_mul(r23104, r23095, r23103, MPFR_RNDN);
        return mpfr_get_d(r23104, MPFR_RNDN);
}

static mpfr_t r23105, r23106, r23107, r23108, r23109, r23110, r23111, r23112, r23113, r23114, r23115, r23116, r23117, r23118;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r23105);
        mpfr_init(r23106);
        mpfr_init_set_str(r23107, "2", 10, MPFR_RNDN);
        mpfr_init(r23108);
        mpfr_init(r23109);
        mpfr_init_set_str(r23110, "1", 10, MPFR_RNDN);
        mpfr_init(r23111);
        mpfr_init(r23112);
        mpfr_init(r23113);
        mpfr_init(r23114);
        mpfr_init(r23115);
        mpfr_init(r23116);
        mpfr_init(r23117);
        mpfr_init(r23118);
}

double f_fm(double k, double n) {
        mpfr_set_d(r23105, n, MPFR_RNDN);
        mpfr_const_pi(r23106, MPFR_RNDN);
        ;
        mpfr_mul(r23108, r23106, r23107, MPFR_RNDN);
        mpfr_mul(r23109, r23105, r23108, MPFR_RNDN);
        ;
        mpfr_set_d(r23111, k, MPFR_RNDN);
        mpfr_sub(r23112, r23110, r23111, MPFR_RNDN);
        mpfr_div(r23113, r23112, r23107, MPFR_RNDN);
        mpfr_pow(r23114, r23109, r23113, MPFR_RNDN);
        mpfr_sqrt(r23115, r23111, MPFR_RNDN);
        mpfr_sqrt(r23116, r23115, MPFR_RNDN);
        mpfr_div(r23117, r23114, r23116, MPFR_RNDN);
        mpfr_div(r23118, r23117, r23116, MPFR_RNDN);
        return mpfr_get_d(r23118, MPFR_RNDN);
}

static mpfr_t r23119, r23120, r23121, r23122, r23123, r23124, r23125, r23126, r23127, r23128, r23129, r23130, r23131, r23132;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r23119);
        mpfr_init(r23120);
        mpfr_init_set_str(r23121, "2", 10, MPFR_RNDN);
        mpfr_init(r23122);
        mpfr_init(r23123);
        mpfr_init_set_str(r23124, "1", 10, MPFR_RNDN);
        mpfr_init(r23125);
        mpfr_init(r23126);
        mpfr_init(r23127);
        mpfr_init(r23128);
        mpfr_init(r23129);
        mpfr_init(r23130);
        mpfr_init(r23131);
        mpfr_init(r23132);
}

double f_dm(double k, double n) {
        mpfr_set_d(r23119, n, MPFR_RNDN);
        mpfr_const_pi(r23120, MPFR_RNDN);
        ;
        mpfr_mul(r23122, r23120, r23121, MPFR_RNDN);
        mpfr_mul(r23123, r23119, r23122, MPFR_RNDN);
        ;
        mpfr_set_d(r23125, k, MPFR_RNDN);
        mpfr_sub(r23126, r23124, r23125, MPFR_RNDN);
        mpfr_div(r23127, r23126, r23121, MPFR_RNDN);
        mpfr_pow(r23128, r23123, r23127, MPFR_RNDN);
        mpfr_sqrt(r23129, r23125, MPFR_RNDN);
        mpfr_sqrt(r23130, r23129, MPFR_RNDN);
        mpfr_div(r23131, r23128, r23130, MPFR_RNDN);
        mpfr_div(r23132, r23131, r23130, MPFR_RNDN);
        return mpfr_get_d(r23132, MPFR_RNDN);
}