#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 r22177 = 1;
        float r22178 = k;
        float r22179 = sqrt(r22178);
        float r22180 = r22177 / r22179;
        float r22181 = 2;
        float r22182 = atan2(1.0, 0.0);
        float r22183 = r22181 * r22182;
        float r22184 = n;
        float r22185 = r22183 * r22184;
        float r22186 = r22177 - r22178;
        float r22187 = r22186 / r22181;
        float r22188 = pow(r22185, r22187);
        float r22189 = r22180 * r22188;
        return r22189;
}

double f_id(double k, double n) {
        double r22190 = 1;
        double r22191 = k;
        double r22192 = sqrt(r22191);
        double r22193 = r22190 / r22192;
        double r22194 = 2;
        double r22195 = atan2(1.0, 0.0);
        double r22196 = r22194 * r22195;
        double r22197 = n;
        double r22198 = r22196 * r22197;
        double r22199 = r22190 - r22191;
        double r22200 = r22199 / r22194;
        double r22201 = pow(r22198, r22200);
        double r22202 = r22193 * r22201;
        return r22202;
}


double f_of(float k, float n) {
        float r22203 = n;
        float r22204 = atan2(1.0, 0.0);
        float r22205 = r22204 + r22204;
        float r22206 = r22203 * r22205;
        float r22207 = 1;
        float r22208 = 2;
        float r22209 = r22207 / r22208;
        float r22210 = pow(r22206, r22209);
        float r22211 = k;
        float r22212 = r22211 / r22208;
        float r22213 = pow(r22206, r22212);
        float r22214 = r22210 / r22213;
        float r22215 = sqrt(r22211);
        float r22216 = r22214 / r22215;
        float r22217 = sqrt(r22216);
        float r22218 = r22217 * r22217;
        return r22218;
}

double f_od(double k, double n) {
        double r22219 = n;
        double r22220 = atan2(1.0, 0.0);
        double r22221 = r22220 + r22220;
        double r22222 = r22219 * r22221;
        double r22223 = 1;
        double r22224 = 2;
        double r22225 = r22223 / r22224;
        double r22226 = pow(r22222, r22225);
        double r22227 = k;
        double r22228 = r22227 / r22224;
        double r22229 = pow(r22222, r22228);
        double r22230 = r22226 / r22229;
        double r22231 = sqrt(r22227);
        double r22232 = r22230 / r22231;
        double r22233 = sqrt(r22232);
        double r22234 = r22233 * r22233;
        return r22234;
}

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 r22235, r22236, r22237, r22238, r22239, r22240, r22241, r22242, r22243, r22244, r22245, r22246, r22247;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init_set_str(r22235, "1", 10, MPFR_RNDN);
        mpfr_init(r22236);
        mpfr_init(r22237);
        mpfr_init(r22238);
        mpfr_init_set_str(r22239, "2", 10, MPFR_RNDN);
        mpfr_init(r22240);
        mpfr_init(r22241);
        mpfr_init(r22242);
        mpfr_init(r22243);
        mpfr_init(r22244);
        mpfr_init(r22245);
        mpfr_init(r22246);
        mpfr_init(r22247);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r22236, k, MPFR_RNDN);
        mpfr_sqrt(r22237, r22236, MPFR_RNDN);
        mpfr_div(r22238, r22235, r22237, MPFR_RNDN);
        ;
        mpfr_const_pi(r22240, MPFR_RNDN);
        mpfr_mul(r22241, r22239, r22240, MPFR_RNDN);
        mpfr_set_d(r22242, n, MPFR_RNDN);
        mpfr_mul(r22243, r22241, r22242, MPFR_RNDN);
        mpfr_sub(r22244, r22235, r22236, MPFR_RNDN);
        mpfr_div(r22245, r22244, r22239, MPFR_RNDN);
        mpfr_pow(r22246, r22243, r22245, MPFR_RNDN);
        mpfr_mul(r22247, r22238, r22246, MPFR_RNDN);
        return mpfr_get_d(r22247, MPFR_RNDN);
}

static mpfr_t r22248, r22249, r22250, r22251, r22252, r22253, r22254, r22255, r22256, r22257, r22258, r22259, r22260, r22261, r22262, r22263;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22248);
        mpfr_init(r22249);
        mpfr_init(r22250);
        mpfr_init(r22251);
        mpfr_init_set_str(r22252, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r22253, "2", 10, MPFR_RNDN);
        mpfr_init(r22254);
        mpfr_init(r22255);
        mpfr_init(r22256);
        mpfr_init(r22257);
        mpfr_init(r22258);
        mpfr_init(r22259);
        mpfr_init(r22260);
        mpfr_init(r22261);
        mpfr_init(r22262);
        mpfr_init(r22263);
}

double f_fm(double k, double n) {
        mpfr_set_d(r22248, n, MPFR_RNDN);
        mpfr_const_pi(r22249, MPFR_RNDN);
        mpfr_add(r22250, r22249, r22249, MPFR_RNDN);
        mpfr_mul(r22251, r22248, r22250, MPFR_RNDN);
        ;
        ;
        mpfr_div(r22254, r22252, r22253, MPFR_RNDN);
        mpfr_pow(r22255, r22251, r22254, MPFR_RNDN);
        mpfr_set_d(r22256, k, MPFR_RNDN);
        mpfr_div(r22257, r22256, r22253, MPFR_RNDN);
        mpfr_pow(r22258, r22251, r22257, MPFR_RNDN);
        mpfr_div(r22259, r22255, r22258, MPFR_RNDN);
        mpfr_sqrt(r22260, r22256, MPFR_RNDN);
        mpfr_div(r22261, r22259, r22260, MPFR_RNDN);
        mpfr_sqrt(r22262, r22261, MPFR_RNDN);
        mpfr_mul(r22263, r22262, r22262, MPFR_RNDN);
        return mpfr_get_d(r22263, MPFR_RNDN);
}

static mpfr_t r22264, r22265, r22266, r22267, r22268, r22269, r22270, r22271, r22272, r22273, r22274, r22275, r22276, r22277, r22278, r22279;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22264);
        mpfr_init(r22265);
        mpfr_init(r22266);
        mpfr_init(r22267);
        mpfr_init_set_str(r22268, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r22269, "2", 10, MPFR_RNDN);
        mpfr_init(r22270);
        mpfr_init(r22271);
        mpfr_init(r22272);
        mpfr_init(r22273);
        mpfr_init(r22274);
        mpfr_init(r22275);
        mpfr_init(r22276);
        mpfr_init(r22277);
        mpfr_init(r22278);
        mpfr_init(r22279);
}

double f_dm(double k, double n) {
        mpfr_set_d(r22264, n, MPFR_RNDN);
        mpfr_const_pi(r22265, MPFR_RNDN);
        mpfr_add(r22266, r22265, r22265, MPFR_RNDN);
        mpfr_mul(r22267, r22264, r22266, MPFR_RNDN);
        ;
        ;
        mpfr_div(r22270, r22268, r22269, MPFR_RNDN);
        mpfr_pow(r22271, r22267, r22270, MPFR_RNDN);
        mpfr_set_d(r22272, k, MPFR_RNDN);
        mpfr_div(r22273, r22272, r22269, MPFR_RNDN);
        mpfr_pow(r22274, r22267, r22273, MPFR_RNDN);
        mpfr_div(r22275, r22271, r22274, MPFR_RNDN);
        mpfr_sqrt(r22276, r22272, MPFR_RNDN);
        mpfr_div(r22277, r22275, r22276, MPFR_RNDN);
        mpfr_sqrt(r22278, r22277, MPFR_RNDN);
        mpfr_mul(r22279, r22278, r22278, MPFR_RNDN);
        return mpfr_get_d(r22279, MPFR_RNDN);
}

