#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 r22141 = 1;
        float r22142 = k;
        float r22143 = sqrt(r22142);
        float r22144 = r22141 / r22143;
        float r22145 = 2;
        float r22146 = atan2(1.0, 0.0);
        float r22147 = r22145 * r22146;
        float r22148 = n;
        float r22149 = r22147 * r22148;
        float r22150 = r22141 - r22142;
        float r22151 = r22150 / r22145;
        float r22152 = pow(r22149, r22151);
        float r22153 = r22144 * r22152;
        return r22153;
}

double f_id(double k, double n) {
        double r22154 = 1;
        double r22155 = k;
        double r22156 = sqrt(r22155);
        double r22157 = r22154 / r22156;
        double r22158 = 2;
        double r22159 = atan2(1.0, 0.0);
        double r22160 = r22158 * r22159;
        double r22161 = n;
        double r22162 = r22160 * r22161;
        double r22163 = r22154 - r22155;
        double r22164 = r22163 / r22158;
        double r22165 = pow(r22162, r22164);
        double r22166 = r22157 * r22165;
        return r22166;
}


double f_of(float k, float n) {
        float r22167 = n;
        float r22168 = atan2(1.0, 0.0);
        float r22169 = r22168 + r22168;
        float r22170 = r22167 * r22169;
        float r22171 = 1;
        float r22172 = 2;
        float r22173 = r22171 / r22172;
        float r22174 = pow(r22170, r22173);
        float r22175 = k;
        float r22176 = r22175 / r22172;
        float r22177 = pow(r22170, r22176);
        float r22178 = r22174 / r22177;
        float r22179 = sqrt(r22175);
        float r22180 = r22178 / r22179;
        return r22180;
}

double f_od(double k, double n) {
        double r22181 = n;
        double r22182 = atan2(1.0, 0.0);
        double r22183 = r22182 + r22182;
        double r22184 = r22181 * r22183;
        double r22185 = 1;
        double r22186 = 2;
        double r22187 = r22185 / r22186;
        double r22188 = pow(r22184, r22187);
        double r22189 = k;
        double r22190 = r22189 / r22186;
        double r22191 = pow(r22184, r22190);
        double r22192 = r22188 / r22191;
        double r22193 = sqrt(r22189);
        double r22194 = r22192 / r22193;
        return r22194;
}

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 r22195, r22196, r22197, r22198, r22199, r22200, r22201, r22202, r22203, r22204, r22205, r22206, r22207;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init_set_str(r22195, "1", 10, MPFR_RNDN);
        mpfr_init(r22196);
        mpfr_init(r22197);
        mpfr_init(r22198);
        mpfr_init_set_str(r22199, "2", 10, MPFR_RNDN);
        mpfr_init(r22200);
        mpfr_init(r22201);
        mpfr_init(r22202);
        mpfr_init(r22203);
        mpfr_init(r22204);
        mpfr_init(r22205);
        mpfr_init(r22206);
        mpfr_init(r22207);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r22196, k, MPFR_RNDN);
        mpfr_sqrt(r22197, r22196, MPFR_RNDN);
        mpfr_div(r22198, r22195, r22197, MPFR_RNDN);
        ;
        mpfr_const_pi(r22200, MPFR_RNDN);
        mpfr_mul(r22201, r22199, r22200, MPFR_RNDN);
        mpfr_set_d(r22202, n, MPFR_RNDN);
        mpfr_mul(r22203, r22201, r22202, MPFR_RNDN);
        mpfr_sub(r22204, r22195, r22196, MPFR_RNDN);
        mpfr_div(r22205, r22204, r22199, MPFR_RNDN);
        mpfr_pow(r22206, r22203, r22205, MPFR_RNDN);
        mpfr_mul(r22207, r22198, r22206, MPFR_RNDN);
        return mpfr_get_d(r22207, MPFR_RNDN);
}

static mpfr_t r22208, r22209, r22210, r22211, r22212, r22213, r22214, r22215, r22216, r22217, r22218, r22219, r22220, r22221;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22208);
        mpfr_init(r22209);
        mpfr_init(r22210);
        mpfr_init(r22211);
        mpfr_init_set_str(r22212, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r22213, "2", 10, MPFR_RNDN);
        mpfr_init(r22214);
        mpfr_init(r22215);
        mpfr_init(r22216);
        mpfr_init(r22217);
        mpfr_init(r22218);
        mpfr_init(r22219);
        mpfr_init(r22220);
        mpfr_init(r22221);
}

double f_fm(double k, double n) {
        mpfr_set_d(r22208, n, MPFR_RNDN);
        mpfr_const_pi(r22209, MPFR_RNDN);
        mpfr_add(r22210, r22209, r22209, MPFR_RNDN);
        mpfr_mul(r22211, r22208, r22210, MPFR_RNDN);
        ;
        ;
        mpfr_div(r22214, r22212, r22213, MPFR_RNDN);
        mpfr_pow(r22215, r22211, r22214, MPFR_RNDN);
        mpfr_set_d(r22216, k, MPFR_RNDN);
        mpfr_div(r22217, r22216, r22213, MPFR_RNDN);
        mpfr_pow(r22218, r22211, r22217, MPFR_RNDN);
        mpfr_div(r22219, r22215, r22218, MPFR_RNDN);
        mpfr_sqrt(r22220, r22216, MPFR_RNDN);
        mpfr_div(r22221, r22219, r22220, MPFR_RNDN);
        return mpfr_get_d(r22221, MPFR_RNDN);
}

static mpfr_t r22222, r22223, r22224, r22225, r22226, r22227, r22228, r22229, r22230, r22231, r22232, r22233, r22234, r22235;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22222);
        mpfr_init(r22223);
        mpfr_init(r22224);
        mpfr_init(r22225);
        mpfr_init_set_str(r22226, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r22227, "2", 10, MPFR_RNDN);
        mpfr_init(r22228);
        mpfr_init(r22229);
        mpfr_init(r22230);
        mpfr_init(r22231);
        mpfr_init(r22232);
        mpfr_init(r22233);
        mpfr_init(r22234);
        mpfr_init(r22235);
}

double f_dm(double k, double n) {
        mpfr_set_d(r22222, n, MPFR_RNDN);
        mpfr_const_pi(r22223, MPFR_RNDN);
        mpfr_add(r22224, r22223, r22223, MPFR_RNDN);
        mpfr_mul(r22225, r22222, r22224, MPFR_RNDN);
        ;
        ;
        mpfr_div(r22228, r22226, r22227, MPFR_RNDN);
        mpfr_pow(r22229, r22225, r22228, MPFR_RNDN);
        mpfr_set_d(r22230, k, MPFR_RNDN);
        mpfr_div(r22231, r22230, r22227, MPFR_RNDN);
        mpfr_pow(r22232, r22225, r22231, MPFR_RNDN);
        mpfr_div(r22233, r22229, r22232, MPFR_RNDN);
        mpfr_sqrt(r22234, r22230, MPFR_RNDN);
        mpfr_div(r22235, r22233, r22234, MPFR_RNDN);
        return mpfr_get_d(r22235, MPFR_RNDN);
}