#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 r23029 = 1;
        float r23030 = k;
        float r23031 = sqrt(r23030);
        float r23032 = r23029 / r23031;
        float r23033 = 2;
        float r23034 = atan2(1.0, 0.0);
        float r23035 = r23033 * r23034;
        float r23036 = n;
        float r23037 = r23035 * r23036;
        float r23038 = r23029 - r23030;
        float r23039 = r23038 / r23033;
        float r23040 = pow(r23037, r23039);
        float r23041 = r23032 * r23040;
        return r23041;
}

double f_id(double k, double n) {
        double r23042 = 1;
        double r23043 = k;
        double r23044 = sqrt(r23043);
        double r23045 = r23042 / r23044;
        double r23046 = 2;
        double r23047 = atan2(1.0, 0.0);
        double r23048 = r23046 * r23047;
        double r23049 = n;
        double r23050 = r23048 * r23049;
        double r23051 = r23042 - r23043;
        double r23052 = r23051 / r23046;
        double r23053 = pow(r23050, r23052);
        double r23054 = r23045 * r23053;
        return r23054;
}


double f_of(float k, float n) {
        float r23055 = n;
        float r23056 = 1;
        float r23057 = 2;
        float r23058 = r23056 / r23057;
        float r23059 = pow(r23055, r23058);
        float r23060 = k;
        float r23061 = r23060 / r23057;
        float r23062 = pow(r23055, r23061);
        float r23063 = r23059 / r23062;
        float r23064 = atan2(1.0, 0.0);
        float r23065 = r23064 * r23057;
        float r23066 = r23056 - r23060;
        float r23067 = r23066 / r23057;
        float r23068 = pow(r23065, r23067);
        float r23069 = sqrt(r23060);
        float r23070 = r23068 / r23069;
        float r23071 = r23063 * r23070;
        return r23071;
}

double f_od(double k, double n) {
        double r23072 = n;
        double r23073 = 1;
        double r23074 = 2;
        double r23075 = r23073 / r23074;
        double r23076 = pow(r23072, r23075);
        double r23077 = k;
        double r23078 = r23077 / r23074;
        double r23079 = pow(r23072, r23078);
        double r23080 = r23076 / r23079;
        double r23081 = atan2(1.0, 0.0);
        double r23082 = r23081 * r23074;
        double r23083 = r23073 - r23077;
        double r23084 = r23083 / r23074;
        double r23085 = pow(r23082, r23084);
        double r23086 = sqrt(r23077);
        double r23087 = r23085 / r23086;
        double r23088 = r23080 * r23087;
        return r23088;
}

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 r23089, r23090, r23091, r23092, r23093, r23094, r23095, r23096, r23097, r23098, r23099, r23100, r23101;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init_set_str(r23089, "1", 10, MPFR_RNDN);
        mpfr_init(r23090);
        mpfr_init(r23091);
        mpfr_init(r23092);
        mpfr_init_set_str(r23093, "2", 10, MPFR_RNDN);
        mpfr_init(r23094);
        mpfr_init(r23095);
        mpfr_init(r23096);
        mpfr_init(r23097);
        mpfr_init(r23098);
        mpfr_init(r23099);
        mpfr_init(r23100);
        mpfr_init(r23101);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r23090, k, MPFR_RNDN);
        mpfr_sqrt(r23091, r23090, MPFR_RNDN);
        mpfr_div(r23092, r23089, r23091, MPFR_RNDN);
        ;
        mpfr_const_pi(r23094, MPFR_RNDN);
        mpfr_mul(r23095, r23093, r23094, MPFR_RNDN);
        mpfr_set_d(r23096, n, MPFR_RNDN);
        mpfr_mul(r23097, r23095, r23096, MPFR_RNDN);
        mpfr_sub(r23098, r23089, r23090, MPFR_RNDN);
        mpfr_div(r23099, r23098, r23093, MPFR_RNDN);
        mpfr_pow(r23100, r23097, r23099, MPFR_RNDN);
        mpfr_mul(r23101, r23092, r23100, MPFR_RNDN);
        return mpfr_get_d(r23101, MPFR_RNDN);
}

static mpfr_t r23102, r23103, r23104, r23105, r23106, r23107, r23108, r23109, r23110, r23111, r23112, r23113, r23114, r23115, r23116, r23117, r23118;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23102);
        mpfr_init_set_str(r23103, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r23104, "2", 10, MPFR_RNDN);
        mpfr_init(r23105);
        mpfr_init(r23106);
        mpfr_init(r23107);
        mpfr_init(r23108);
        mpfr_init(r23109);
        mpfr_init(r23110);
        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(r23102, n, MPFR_RNDN);
        ;
        ;
        mpfr_div(r23105, r23103, r23104, MPFR_RNDN);
        mpfr_pow(r23106, r23102, r23105, MPFR_RNDN);
        mpfr_set_d(r23107, k, MPFR_RNDN);
        mpfr_div(r23108, r23107, r23104, MPFR_RNDN);
        mpfr_pow(r23109, r23102, r23108, MPFR_RNDN);
        mpfr_div(r23110, r23106, r23109, MPFR_RNDN);
        mpfr_const_pi(r23111, MPFR_RNDN);
        mpfr_mul(r23112, r23111, r23104, MPFR_RNDN);
        mpfr_sub(r23113, r23103, r23107, MPFR_RNDN);
        mpfr_div(r23114, r23113, r23104, MPFR_RNDN);
        mpfr_pow(r23115, r23112, r23114, MPFR_RNDN);
        mpfr_sqrt(r23116, r23107, MPFR_RNDN);
        mpfr_div(r23117, r23115, r23116, MPFR_RNDN);
        mpfr_mul(r23118, r23110, 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, r23133, r23134, r23135;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23119);
        mpfr_init_set_str(r23120, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r23121, "2", 10, MPFR_RNDN);
        mpfr_init(r23122);
        mpfr_init(r23123);
        mpfr_init(r23124);
        mpfr_init(r23125);
        mpfr_init(r23126);
        mpfr_init(r23127);
        mpfr_init(r23128);
        mpfr_init(r23129);
        mpfr_init(r23130);
        mpfr_init(r23131);
        mpfr_init(r23132);
        mpfr_init(r23133);
        mpfr_init(r23134);
        mpfr_init(r23135);
}

double f_dm(double k, double n) {
        mpfr_set_d(r23119, n, MPFR_RNDN);
        ;
        ;
        mpfr_div(r23122, r23120, r23121, MPFR_RNDN);
        mpfr_pow(r23123, r23119, r23122, MPFR_RNDN);
        mpfr_set_d(r23124, k, MPFR_RNDN);
        mpfr_div(r23125, r23124, r23121, MPFR_RNDN);
        mpfr_pow(r23126, r23119, r23125, MPFR_RNDN);
        mpfr_div(r23127, r23123, r23126, MPFR_RNDN);
        mpfr_const_pi(r23128, MPFR_RNDN);
        mpfr_mul(r23129, r23128, r23121, MPFR_RNDN);
        mpfr_sub(r23130, r23120, r23124, MPFR_RNDN);
        mpfr_div(r23131, r23130, r23121, MPFR_RNDN);
        mpfr_pow(r23132, r23129, r23131, MPFR_RNDN);
        mpfr_sqrt(r23133, r23124, MPFR_RNDN);
        mpfr_div(r23134, r23132, r23133, MPFR_RNDN);
        mpfr_mul(r23135, r23127, r23134, MPFR_RNDN);
        return mpfr_get_d(r23135, MPFR_RNDN);
}

