#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 r20005 = k;
        float r20006 = sqrt(r20005);
        float r20007 = 1.0/r20006;
        float r20008 = 2.0f;
        float r20009 = atan2(1.0, 0.0);
        float r20010 = r20008 * r20009;
        float r20011 = n;
        float r20012 = r20010 * r20011;
        float r20013 = 1.0f;
        float r20014 = r20013 - r20005;
        float r20015 = r20014 / r20008;
        float r20016 = pow(r20012, r20015);
        float r20017 = r20007 * r20016;
        return r20017;
}

double f_id(double k, double n) {
        double r20018 = k;
        double r20019 = sqrt(r20018);
        double r20020 = 1.0/r20019;
        double r20021 = 2.0;
        double r20022 = atan2(1.0, 0.0);
        double r20023 = r20021 * r20022;
        double r20024 = n;
        double r20025 = r20023 * r20024;
        double r20026 = 1.0;
        double r20027 = r20026 - r20018;
        double r20028 = r20027 / r20021;
        double r20029 = pow(r20025, r20028);
        double r20030 = r20020 * r20029;
        return r20030;
}


double f_of(float k, float n) {
        float r20031 = k;
        float r20032 = sqrt(r20031);
        float r20033 = 1.0/r20032;
        float r20034 = 2.0f;
        float r20035 = atan2(1.0, 0.0);
        float r20036 = r20034 * r20035;
        float r20037 = n;
        float r20038 = r20036 * r20037;
        float r20039 = 1.0f;
        float r20040 = r20039 / r20034;
        float r20041 = pow(r20038, r20040);
        float r20042 = r20031 / r20034;
        float r20043 = pow(r20038, r20042);
        float r20044 = r20041 / r20043;
        float r20045 = r20033 * r20044;
        return r20045;
}

double f_od(double k, double n) {
        double r20046 = k;
        double r20047 = sqrt(r20046);
        double r20048 = 1.0/r20047;
        double r20049 = 2.0;
        double r20050 = atan2(1.0, 0.0);
        double r20051 = r20049 * r20050;
        double r20052 = n;
        double r20053 = r20051 * r20052;
        double r20054 = 1.0;
        double r20055 = r20054 / r20049;
        double r20056 = pow(r20053, r20055);
        double r20057 = r20046 / r20049;
        double r20058 = pow(r20053, r20057);
        double r20059 = r20056 / r20058;
        double r20060 = r20048 * r20059;
        return r20060;
}

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 r20061, r20062, r20063, r20064, r20065, r20066, r20067, r20068, r20069, r20070, r20071, r20072, r20073;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init(r20061);
        mpfr_init(r20062);
        mpfr_init(r20063);
        mpfr_init_set_str(r20064, "2", 10, MPFR_RNDN);
        mpfr_init(r20065);
        mpfr_init(r20066);
        mpfr_init(r20067);
        mpfr_init(r20068);
        mpfr_init_set_str(r20069, "1", 10, MPFR_RNDN);
        mpfr_init(r20070);
        mpfr_init(r20071);
        mpfr_init(r20072);
        mpfr_init(r20073);
}

double f_im(double k, double n) {
        mpfr_set_d(r20061, k, MPFR_RNDN);
        mpfr_sqrt(r20062, r20061, MPFR_RNDN);
        mpfr_ui_div(r20063, 1, r20062, MPFR_RNDN);
        ;
        mpfr_const_pi(r20065, MPFR_RNDN);
        mpfr_mul(r20066, r20064, r20065, MPFR_RNDN);
        mpfr_set_d(r20067, n, MPFR_RNDN);
        mpfr_mul(r20068, r20066, r20067, MPFR_RNDN);
        ;
        mpfr_sub(r20070, r20069, r20061, MPFR_RNDN);
        mpfr_div(r20071, r20070, r20064, MPFR_RNDN);
        mpfr_pow(r20072, r20068, r20071, MPFR_RNDN);
        mpfr_mul(r20073, r20063, r20072, MPFR_RNDN);
        return mpfr_get_d(r20073, MPFR_RNDN);
}

static mpfr_t r20074, r20075, r20076, r20077, r20078, r20079, r20080, r20081, r20082, r20083, r20084, r20085, r20086, r20087, r20088;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r20074);
        mpfr_init(r20075);
        mpfr_init(r20076);
        mpfr_init_set_str(r20077, "2", 10, MPFR_RNDN);
        mpfr_init(r20078);
        mpfr_init(r20079);
        mpfr_init(r20080);
        mpfr_init(r20081);
        mpfr_init_set_str(r20082, "1", 10, MPFR_RNDN);
        mpfr_init(r20083);
        mpfr_init(r20084);
        mpfr_init(r20085);
        mpfr_init(r20086);
        mpfr_init(r20087);
        mpfr_init(r20088);
}

double f_fm(double k, double n) {
        mpfr_set_d(r20074, k, MPFR_RNDN);
        mpfr_sqrt(r20075, r20074, MPFR_RNDN);
        mpfr_ui_div(r20076, 1, r20075, MPFR_RNDN);
        ;
        mpfr_const_pi(r20078, MPFR_RNDN);
        mpfr_mul(r20079, r20077, r20078, MPFR_RNDN);
        mpfr_set_d(r20080, n, MPFR_RNDN);
        mpfr_mul(r20081, r20079, r20080, MPFR_RNDN);
        ;
        mpfr_div(r20083, r20082, r20077, MPFR_RNDN);
        mpfr_pow(r20084, r20081, r20083, MPFR_RNDN);
        mpfr_div(r20085, r20074, r20077, MPFR_RNDN);
        mpfr_pow(r20086, r20081, r20085, MPFR_RNDN);
        mpfr_div(r20087, r20084, r20086, MPFR_RNDN);
        mpfr_mul(r20088, r20076, r20087, MPFR_RNDN);
        return mpfr_get_d(r20088, MPFR_RNDN);
}

static mpfr_t r20089, r20090, r20091, r20092, r20093, r20094, r20095, r20096, r20097, r20098, r20099, r20100, r20101, r20102, r20103;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r20089);
        mpfr_init(r20090);
        mpfr_init(r20091);
        mpfr_init_set_str(r20092, "2", 10, MPFR_RNDN);
        mpfr_init(r20093);
        mpfr_init(r20094);
        mpfr_init(r20095);
        mpfr_init(r20096);
        mpfr_init_set_str(r20097, "1", 10, MPFR_RNDN);
        mpfr_init(r20098);
        mpfr_init(r20099);
        mpfr_init(r20100);
        mpfr_init(r20101);
        mpfr_init(r20102);
        mpfr_init(r20103);
}

double f_dm(double k, double n) {
        mpfr_set_d(r20089, k, MPFR_RNDN);
        mpfr_sqrt(r20090, r20089, MPFR_RNDN);
        mpfr_ui_div(r20091, 1, r20090, MPFR_RNDN);
        ;
        mpfr_const_pi(r20093, MPFR_RNDN);
        mpfr_mul(r20094, r20092, r20093, MPFR_RNDN);
        mpfr_set_d(r20095, n, MPFR_RNDN);
        mpfr_mul(r20096, r20094, r20095, MPFR_RNDN);
        ;
        mpfr_div(r20098, r20097, r20092, MPFR_RNDN);
        mpfr_pow(r20099, r20096, r20098, MPFR_RNDN);
        mpfr_div(r20100, r20089, r20092, MPFR_RNDN);
        mpfr_pow(r20101, r20096, r20100, MPFR_RNDN);
        mpfr_div(r20102, r20099, r20101, MPFR_RNDN);
        mpfr_mul(r20103, r20091, r20102, MPFR_RNDN);
        return mpfr_get_d(r20103, MPFR_RNDN);
}

