#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 r20053 = k;
        float r20054 = sqrt(r20053);
        float r20055 = 1.0/r20054;
        float r20056 = 2.0f;
        float r20057 = atan2(1.0, 0.0);
        float r20058 = r20056 * r20057;
        float r20059 = n;
        float r20060 = r20058 * r20059;
        float r20061 = 1.0f;
        float r20062 = r20061 - r20053;
        float r20063 = r20062 / r20056;
        float r20064 = pow(r20060, r20063);
        float r20065 = r20055 * r20064;
        return r20065;
}

double f_id(double k, double n) {
        double r20066 = k;
        double r20067 = sqrt(r20066);
        double r20068 = 1.0/r20067;
        double r20069 = 2.0;
        double r20070 = atan2(1.0, 0.0);
        double r20071 = r20069 * r20070;
        double r20072 = n;
        double r20073 = r20071 * r20072;
        double r20074 = 1.0;
        double r20075 = r20074 - r20066;
        double r20076 = r20075 / r20069;
        double r20077 = pow(r20073, r20076);
        double r20078 = r20068 * r20077;
        return r20078;
}


double f_of(float k, float n) {
        float r20079 = k;
        float r20080 = sqrt(r20079);
        float r20081 = 1.0/r20080;
        float r20082 = 2.0f;
        float r20083 = atan2(1.0, 0.0);
        float r20084 = r20082 * r20083;
        float r20085 = n;
        float r20086 = r20084 * r20085;
        float r20087 = 1.0f;
        float r20088 = r20087 / r20082;
        float r20089 = pow(r20086, r20088);
        float r20090 = r20079 / r20082;
        float r20091 = pow(r20086, r20090);
        float r20092 = r20089 / r20091;
        float r20093 = r20081 * r20092;
        return r20093;
}

double f_od(double k, double n) {
        double r20094 = k;
        double r20095 = sqrt(r20094);
        double r20096 = 1.0/r20095;
        double r20097 = 2.0;
        double r20098 = atan2(1.0, 0.0);
        double r20099 = r20097 * r20098;
        double r20100 = n;
        double r20101 = r20099 * r20100;
        double r20102 = 1.0;
        double r20103 = r20102 / r20097;
        double r20104 = pow(r20101, r20103);
        double r20105 = r20094 / r20097;
        double r20106 = pow(r20101, r20105);
        double r20107 = r20104 / r20106;
        double r20108 = r20096 * r20107;
        return r20108;
}

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 r20109, r20110, r20111, r20112, r20113, r20114, r20115, r20116, r20117, r20118, r20119, r20120, r20121;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init(r20109);
        mpfr_init(r20110);
        mpfr_init(r20111);
        mpfr_init_set_str(r20112, "2", 10, MPFR_RNDN);
        mpfr_init(r20113);
        mpfr_init(r20114);
        mpfr_init(r20115);
        mpfr_init(r20116);
        mpfr_init_set_str(r20117, "1", 10, MPFR_RNDN);
        mpfr_init(r20118);
        mpfr_init(r20119);
        mpfr_init(r20120);
        mpfr_init(r20121);
}

double f_im(double k, double n) {
        mpfr_set_d(r20109, k, MPFR_RNDN);
        mpfr_sqrt(r20110, r20109, MPFR_RNDN);
        mpfr_ui_div(r20111, 1, r20110, MPFR_RNDN);
        ;
        mpfr_const_pi(r20113, MPFR_RNDN);
        mpfr_mul(r20114, r20112, r20113, MPFR_RNDN);
        mpfr_set_d(r20115, n, MPFR_RNDN);
        mpfr_mul(r20116, r20114, r20115, MPFR_RNDN);
        ;
        mpfr_sub(r20118, r20117, r20109, MPFR_RNDN);
        mpfr_div(r20119, r20118, r20112, MPFR_RNDN);
        mpfr_pow(r20120, r20116, r20119, MPFR_RNDN);
        mpfr_mul(r20121, r20111, r20120, MPFR_RNDN);
        return mpfr_get_d(r20121, MPFR_RNDN);
}

static mpfr_t r20122, r20123, r20124, r20125, r20126, r20127, r20128, r20129, r20130, r20131, r20132, r20133, r20134, r20135, r20136;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r20122);
        mpfr_init(r20123);
        mpfr_init(r20124);
        mpfr_init_set_str(r20125, "2", 10, MPFR_RNDN);
        mpfr_init(r20126);
        mpfr_init(r20127);
        mpfr_init(r20128);
        mpfr_init(r20129);
        mpfr_init_set_str(r20130, "1", 10, MPFR_RNDN);
        mpfr_init(r20131);
        mpfr_init(r20132);
        mpfr_init(r20133);
        mpfr_init(r20134);
        mpfr_init(r20135);
        mpfr_init(r20136);
}

double f_fm(double k, double n) {
        mpfr_set_d(r20122, k, MPFR_RNDN);
        mpfr_sqrt(r20123, r20122, MPFR_RNDN);
        mpfr_ui_div(r20124, 1, r20123, MPFR_RNDN);
        ;
        mpfr_const_pi(r20126, MPFR_RNDN);
        mpfr_mul(r20127, r20125, r20126, MPFR_RNDN);
        mpfr_set_d(r20128, n, MPFR_RNDN);
        mpfr_mul(r20129, r20127, r20128, MPFR_RNDN);
        ;
        mpfr_div(r20131, r20130, r20125, MPFR_RNDN);
        mpfr_pow(r20132, r20129, r20131, MPFR_RNDN);
        mpfr_div(r20133, r20122, r20125, MPFR_RNDN);
        mpfr_pow(r20134, r20129, r20133, MPFR_RNDN);
        mpfr_div(r20135, r20132, r20134, MPFR_RNDN);
        mpfr_mul(r20136, r20124, r20135, MPFR_RNDN);
        return mpfr_get_d(r20136, MPFR_RNDN);
}

static mpfr_t r20137, r20138, r20139, r20140, r20141, r20142, r20143, r20144, r20145, r20146, r20147, r20148, r20149, r20150, r20151;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r20137);
        mpfr_init(r20138);
        mpfr_init(r20139);
        mpfr_init_set_str(r20140, "2", 10, MPFR_RNDN);
        mpfr_init(r20141);
        mpfr_init(r20142);
        mpfr_init(r20143);
        mpfr_init(r20144);
        mpfr_init_set_str(r20145, "1", 10, MPFR_RNDN);
        mpfr_init(r20146);
        mpfr_init(r20147);
        mpfr_init(r20148);
        mpfr_init(r20149);
        mpfr_init(r20150);
        mpfr_init(r20151);
}

double f_dm(double k, double n) {
        mpfr_set_d(r20137, k, MPFR_RNDN);
        mpfr_sqrt(r20138, r20137, MPFR_RNDN);
        mpfr_ui_div(r20139, 1, r20138, MPFR_RNDN);
        ;
        mpfr_const_pi(r20141, MPFR_RNDN);
        mpfr_mul(r20142, r20140, r20141, MPFR_RNDN);
        mpfr_set_d(r20143, n, MPFR_RNDN);
        mpfr_mul(r20144, r20142, r20143, MPFR_RNDN);
        ;
        mpfr_div(r20146, r20145, r20140, MPFR_RNDN);
        mpfr_pow(r20147, r20144, r20146, MPFR_RNDN);
        mpfr_div(r20148, r20137, r20140, MPFR_RNDN);
        mpfr_pow(r20149, r20144, r20148, MPFR_RNDN);
        mpfr_div(r20150, r20147, r20149, MPFR_RNDN);
        mpfr_mul(r20151, r20139, r20150, MPFR_RNDN);
        return mpfr_get_d(r20151, MPFR_RNDN);
}

