#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 r21045 = 1;
        float r21046 = k;
        float r21047 = sqrt(r21046);
        float r21048 = r21045 / r21047;
        float r21049 = 2;
        float r21050 = atan2(1.0, 0.0);
        float r21051 = r21049 * r21050;
        float r21052 = n;
        float r21053 = r21051 * r21052;
        float r21054 = r21045 - r21046;
        float r21055 = r21054 / r21049;
        float r21056 = pow(r21053, r21055);
        float r21057 = r21048 * r21056;
        return r21057;
}

double f_id(double k, double n) {
        double r21058 = 1;
        double r21059 = k;
        double r21060 = sqrt(r21059);
        double r21061 = r21058 / r21060;
        double r21062 = 2;
        double r21063 = atan2(1.0, 0.0);
        double r21064 = r21062 * r21063;
        double r21065 = n;
        double r21066 = r21064 * r21065;
        double r21067 = r21058 - r21059;
        double r21068 = r21067 / r21062;
        double r21069 = pow(r21066, r21068);
        double r21070 = r21061 * r21069;
        return r21070;
}


double f_of(float k, float n) {
        float r21071 = n;
        float r21072 = r21071 + r21071;
        float r21073 = 1;
        float r21074 = 2;
        float r21075 = r21073 / r21074;
        float r21076 = pow(r21072, r21075);
        float r21077 = k;
        float r21078 = r21077 / r21074;
        float r21079 = pow(r21072, r21078);
        float r21080 = r21076 / r21079;
        float r21081 = r21080 / r21073;
        float r21082 = atan2(1.0, 0.0);
        float r21083 = log(r21082);
        float r21084 = r21073 - r21077;
        float r21085 = r21084 / r21074;
        float r21086 = r21083 * r21085;
        float r21087 = exp(r21086);
        float r21088 = sqrt(r21077);
        float r21089 = r21087 / r21088;
        float r21090 = r21081 * r21089;
        return r21090;
}

double f_od(double k, double n) {
        double r21091 = n;
        double r21092 = r21091 + r21091;
        double r21093 = 1;
        double r21094 = 2;
        double r21095 = r21093 / r21094;
        double r21096 = pow(r21092, r21095);
        double r21097 = k;
        double r21098 = r21097 / r21094;
        double r21099 = pow(r21092, r21098);
        double r21100 = r21096 / r21099;
        double r21101 = r21100 / r21093;
        double r21102 = atan2(1.0, 0.0);
        double r21103 = log(r21102);
        double r21104 = r21093 - r21097;
        double r21105 = r21104 / r21094;
        double r21106 = r21103 * r21105;
        double r21107 = exp(r21106);
        double r21108 = sqrt(r21097);
        double r21109 = r21107 / r21108;
        double r21110 = r21101 * r21109;
        return r21110;
}

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 r21111, r21112, r21113, r21114, r21115, r21116, r21117, r21118, r21119, r21120, r21121, r21122, r21123;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init_set_str(r21111, "1", 10, MPFR_RNDN);
        mpfr_init(r21112);
        mpfr_init(r21113);
        mpfr_init(r21114);
        mpfr_init_set_str(r21115, "2", 10, MPFR_RNDN);
        mpfr_init(r21116);
        mpfr_init(r21117);
        mpfr_init(r21118);
        mpfr_init(r21119);
        mpfr_init(r21120);
        mpfr_init(r21121);
        mpfr_init(r21122);
        mpfr_init(r21123);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r21112, k, MPFR_RNDN);
        mpfr_sqrt(r21113, r21112, MPFR_RNDN);
        mpfr_div(r21114, r21111, r21113, MPFR_RNDN);
        ;
        mpfr_const_pi(r21116, MPFR_RNDN);
        mpfr_mul(r21117, r21115, r21116, MPFR_RNDN);
        mpfr_set_d(r21118, n, MPFR_RNDN);
        mpfr_mul(r21119, r21117, r21118, MPFR_RNDN);
        mpfr_sub(r21120, r21111, r21112, MPFR_RNDN);
        mpfr_div(r21121, r21120, r21115, MPFR_RNDN);
        mpfr_pow(r21122, r21119, r21121, MPFR_RNDN);
        mpfr_mul(r21123, r21114, r21122, MPFR_RNDN);
        return mpfr_get_d(r21123, MPFR_RNDN);
}

static mpfr_t r21124, r21125, r21126, r21127, r21128, r21129, r21130, r21131, r21132, r21133, r21134, r21135, r21136, r21137, r21138, r21139, r21140, r21141, r21142, r21143;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r21124);
        mpfr_init(r21125);
        mpfr_init_set_str(r21126, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r21127, "2", 10, MPFR_RNDN);
        mpfr_init(r21128);
        mpfr_init(r21129);
        mpfr_init(r21130);
        mpfr_init(r21131);
        mpfr_init(r21132);
        mpfr_init(r21133);
        mpfr_init(r21134);
        mpfr_init(r21135);
        mpfr_init(r21136);
        mpfr_init(r21137);
        mpfr_init(r21138);
        mpfr_init(r21139);
        mpfr_init(r21140);
        mpfr_init(r21141);
        mpfr_init(r21142);
        mpfr_init(r21143);
}

double f_fm(double k, double n) {
        mpfr_set_d(r21124, n, MPFR_RNDN);
        mpfr_add(r21125, r21124, r21124, MPFR_RNDN);
        ;
        ;
        mpfr_div(r21128, r21126, r21127, MPFR_RNDN);
        mpfr_pow(r21129, r21125, r21128, MPFR_RNDN);
        mpfr_set_d(r21130, k, MPFR_RNDN);
        mpfr_div(r21131, r21130, r21127, MPFR_RNDN);
        mpfr_pow(r21132, r21125, r21131, MPFR_RNDN);
        mpfr_div(r21133, r21129, r21132, MPFR_RNDN);
        mpfr_div(r21134, r21133, r21126, MPFR_RNDN);
        mpfr_const_pi(r21135, MPFR_RNDN);
        mpfr_log(r21136, r21135, MPFR_RNDN);
        mpfr_sub(r21137, r21126, r21130, MPFR_RNDN);
        mpfr_div(r21138, r21137, r21127, MPFR_RNDN);
        mpfr_mul(r21139, r21136, r21138, MPFR_RNDN);
        mpfr_exp(r21140, r21139, MPFR_RNDN);
        mpfr_sqrt(r21141, r21130, MPFR_RNDN);
        mpfr_div(r21142, r21140, r21141, MPFR_RNDN);
        mpfr_mul(r21143, r21134, r21142, MPFR_RNDN);
        return mpfr_get_d(r21143, MPFR_RNDN);
}

static mpfr_t r21144, r21145, r21146, r21147, r21148, r21149, r21150, r21151, r21152, r21153, r21154, r21155, r21156, r21157, r21158, r21159, r21160, r21161, r21162, r21163;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r21144);
        mpfr_init(r21145);
        mpfr_init_set_str(r21146, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r21147, "2", 10, MPFR_RNDN);
        mpfr_init(r21148);
        mpfr_init(r21149);
        mpfr_init(r21150);
        mpfr_init(r21151);
        mpfr_init(r21152);
        mpfr_init(r21153);
        mpfr_init(r21154);
        mpfr_init(r21155);
        mpfr_init(r21156);
        mpfr_init(r21157);
        mpfr_init(r21158);
        mpfr_init(r21159);
        mpfr_init(r21160);
        mpfr_init(r21161);
        mpfr_init(r21162);
        mpfr_init(r21163);
}

double f_dm(double k, double n) {
        mpfr_set_d(r21144, n, MPFR_RNDN);
        mpfr_add(r21145, r21144, r21144, MPFR_RNDN);
        ;
        ;
        mpfr_div(r21148, r21146, r21147, MPFR_RNDN);
        mpfr_pow(r21149, r21145, r21148, MPFR_RNDN);
        mpfr_set_d(r21150, k, MPFR_RNDN);
        mpfr_div(r21151, r21150, r21147, MPFR_RNDN);
        mpfr_pow(r21152, r21145, r21151, MPFR_RNDN);
        mpfr_div(r21153, r21149, r21152, MPFR_RNDN);
        mpfr_div(r21154, r21153, r21146, MPFR_RNDN);
        mpfr_const_pi(r21155, MPFR_RNDN);
        mpfr_log(r21156, r21155, MPFR_RNDN);
        mpfr_sub(r21157, r21146, r21150, MPFR_RNDN);
        mpfr_div(r21158, r21157, r21147, MPFR_RNDN);
        mpfr_mul(r21159, r21156, r21158, MPFR_RNDN);
        mpfr_exp(r21160, r21159, MPFR_RNDN);
        mpfr_sqrt(r21161, r21150, MPFR_RNDN);
        mpfr_div(r21162, r21160, r21161, MPFR_RNDN);
        mpfr_mul(r21163, r21154, r21162, MPFR_RNDN);
        return mpfr_get_d(r21163, MPFR_RNDN);
}