#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 r23052 = 1;
        float r23053 = k;
        float r23054 = sqrt(r23053);
        float r23055 = r23052 / r23054;
        float r23056 = 2;
        float r23057 = atan2(1.0, 0.0);
        float r23058 = r23056 * r23057;
        float r23059 = n;
        float r23060 = r23058 * r23059;
        float r23061 = r23052 - r23053;
        float r23062 = r23061 / r23056;
        float r23063 = pow(r23060, r23062);
        float r23064 = r23055 * r23063;
        return r23064;
}

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


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

double f_od(double k, double n) {
        double r23092 = n;
        double r23093 = atan2(1.0, 0.0);
        double r23094 = 2;
        double r23095 = r23093 * r23094;
        double r23096 = r23092 * r23095;
        double r23097 = 1;
        double r23098 = r23097 / r23094;
        double r23099 = pow(r23096, r23098);
        double r23100 = k;
        double r23101 = r23100 / r23094;
        double r23102 = pow(r23096, r23101);
        double r23103 = r23099 / r23102;
        double r23104 = sqrt(r23100);
        double r23105 = r23103 / r23104;
        return r23105;
}

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

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init_set_str(r23106, "1", 10, MPFR_RNDN);
        mpfr_init(r23107);
        mpfr_init(r23108);
        mpfr_init(r23109);
        mpfr_init_set_str(r23110, "2", 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_im(double k, double n) {
        ;
        mpfr_set_d(r23107, k, MPFR_RNDN);
        mpfr_sqrt(r23108, r23107, MPFR_RNDN);
        mpfr_div(r23109, r23106, r23108, MPFR_RNDN);
        ;
        mpfr_const_pi(r23111, MPFR_RNDN);
        mpfr_mul(r23112, r23110, r23111, MPFR_RNDN);
        mpfr_set_d(r23113, n, MPFR_RNDN);
        mpfr_mul(r23114, r23112, r23113, MPFR_RNDN);
        mpfr_sub(r23115, r23106, r23107, MPFR_RNDN);
        mpfr_div(r23116, r23115, r23110, MPFR_RNDN);
        mpfr_pow(r23117, r23114, r23116, MPFR_RNDN);
        mpfr_mul(r23118, r23109, r23117, 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_fm() {
        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_fm(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_div(r23125, r23124, r23121, MPFR_RNDN);
        mpfr_pow(r23126, r23123, r23125, MPFR_RNDN);
        mpfr_set_d(r23127, k, MPFR_RNDN);
        mpfr_div(r23128, r23127, r23121, MPFR_RNDN);
        mpfr_pow(r23129, r23123, r23128, MPFR_RNDN);
        mpfr_div(r23130, r23126, r23129, MPFR_RNDN);
        mpfr_sqrt(r23131, r23127, MPFR_RNDN);
        mpfr_div(r23132, r23130, r23131, MPFR_RNDN);
        return mpfr_get_d(r23132, MPFR_RNDN);
}

static mpfr_t r23133, r23134, r23135, r23136, r23137, r23138, r23139, r23140, r23141, r23142, r23143, r23144, r23145, r23146;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r23133);
        mpfr_init(r23134);
        mpfr_init_set_str(r23135, "2", 10, MPFR_RNDN);
        mpfr_init(r23136);
        mpfr_init(r23137);
        mpfr_init_set_str(r23138, "1", 10, MPFR_RNDN);
        mpfr_init(r23139);
        mpfr_init(r23140);
        mpfr_init(r23141);
        mpfr_init(r23142);
        mpfr_init(r23143);
        mpfr_init(r23144);
        mpfr_init(r23145);
        mpfr_init(r23146);
}

double f_dm(double k, double n) {
        mpfr_set_d(r23133, n, MPFR_RNDN);
        mpfr_const_pi(r23134, MPFR_RNDN);
        ;
        mpfr_mul(r23136, r23134, r23135, MPFR_RNDN);
        mpfr_mul(r23137, r23133, r23136, MPFR_RNDN);
        ;
        mpfr_div(r23139, r23138, r23135, MPFR_RNDN);
        mpfr_pow(r23140, r23137, r23139, MPFR_RNDN);
        mpfr_set_d(r23141, k, MPFR_RNDN);
        mpfr_div(r23142, r23141, r23135, MPFR_RNDN);
        mpfr_pow(r23143, r23137, r23142, MPFR_RNDN);
        mpfr_div(r23144, r23140, r23143, MPFR_RNDN);
        mpfr_sqrt(r23145, r23141, MPFR_RNDN);
        mpfr_div(r23146, r23144, r23145, MPFR_RNDN);
        return mpfr_get_d(r23146, MPFR_RNDN);
}