#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 r22160 = 1;
        float r22161 = k;
        float r22162 = sqrt(r22161);
        float r22163 = r22160 / r22162;
        float r22164 = 2;
        float r22165 = atan2(1.0, 0.0);
        float r22166 = r22164 * r22165;
        float r22167 = n;
        float r22168 = r22166 * r22167;
        float r22169 = r22160 - r22161;
        float r22170 = r22169 / r22164;
        float r22171 = pow(r22168, r22170);
        float r22172 = r22163 * r22171;
        return r22172;
}

double f_id(double k, double n) {
        double r22173 = 1;
        double r22174 = k;
        double r22175 = sqrt(r22174);
        double r22176 = r22173 / r22175;
        double r22177 = 2;
        double r22178 = atan2(1.0, 0.0);
        double r22179 = r22177 * r22178;
        double r22180 = n;
        double r22181 = r22179 * r22180;
        double r22182 = r22173 - r22174;
        double r22183 = r22182 / r22177;
        double r22184 = pow(r22181, r22183);
        double r22185 = r22176 * r22184;
        return r22185;
}


double f_of(float k, float n) {
        float r22186 = n;
        float r22187 = atan2(1.0, 0.0);
        float r22188 = r22187 + r22187;
        float r22189 = r22186 * r22188;
        float r22190 = 1;
        float r22191 = 2;
        float r22192 = r22190 / r22191;
        float r22193 = pow(r22189, r22192);
        float r22194 = k;
        float r22195 = r22194 / r22191;
        float r22196 = pow(r22189, r22195);
        float r22197 = r22193 / r22196;
        float r22198 = sqrt(r22194);
        float r22199 = r22197 / r22198;
        return r22199;
}

double f_od(double k, double n) {
        double r22200 = n;
        double r22201 = atan2(1.0, 0.0);
        double r22202 = r22201 + r22201;
        double r22203 = r22200 * r22202;
        double r22204 = 1;
        double r22205 = 2;
        double r22206 = r22204 / r22205;
        double r22207 = pow(r22203, r22206);
        double r22208 = k;
        double r22209 = r22208 / r22205;
        double r22210 = pow(r22203, r22209);
        double r22211 = r22207 / r22210;
        double r22212 = sqrt(r22208);
        double r22213 = r22211 / r22212;
        return r22213;
}

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 r22214, r22215, r22216, r22217, r22218, r22219, r22220, r22221, r22222, r22223, r22224, r22225, r22226;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init_set_str(r22214, "1", 10, MPFR_RNDN);
        mpfr_init(r22215);
        mpfr_init(r22216);
        mpfr_init(r22217);
        mpfr_init_set_str(r22218, "2", 10, MPFR_RNDN);
        mpfr_init(r22219);
        mpfr_init(r22220);
        mpfr_init(r22221);
        mpfr_init(r22222);
        mpfr_init(r22223);
        mpfr_init(r22224);
        mpfr_init(r22225);
        mpfr_init(r22226);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r22215, k, MPFR_RNDN);
        mpfr_sqrt(r22216, r22215, MPFR_RNDN);
        mpfr_div(r22217, r22214, r22216, MPFR_RNDN);
        ;
        mpfr_const_pi(r22219, MPFR_RNDN);
        mpfr_mul(r22220, r22218, r22219, MPFR_RNDN);
        mpfr_set_d(r22221, n, MPFR_RNDN);
        mpfr_mul(r22222, r22220, r22221, MPFR_RNDN);
        mpfr_sub(r22223, r22214, r22215, MPFR_RNDN);
        mpfr_div(r22224, r22223, r22218, MPFR_RNDN);
        mpfr_pow(r22225, r22222, r22224, MPFR_RNDN);
        mpfr_mul(r22226, r22217, r22225, MPFR_RNDN);
        return mpfr_get_d(r22226, MPFR_RNDN);
}

static mpfr_t r22227, r22228, r22229, r22230, r22231, r22232, r22233, r22234, r22235, r22236, r22237, r22238, r22239, r22240;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22227);
        mpfr_init(r22228);
        mpfr_init(r22229);
        mpfr_init(r22230);
        mpfr_init_set_str(r22231, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r22232, "2", 10, MPFR_RNDN);
        mpfr_init(r22233);
        mpfr_init(r22234);
        mpfr_init(r22235);
        mpfr_init(r22236);
        mpfr_init(r22237);
        mpfr_init(r22238);
        mpfr_init(r22239);
        mpfr_init(r22240);
}

double f_fm(double k, double n) {
        mpfr_set_d(r22227, n, MPFR_RNDN);
        mpfr_const_pi(r22228, MPFR_RNDN);
        mpfr_add(r22229, r22228, r22228, MPFR_RNDN);
        mpfr_mul(r22230, r22227, r22229, MPFR_RNDN);
        ;
        ;
        mpfr_div(r22233, r22231, r22232, MPFR_RNDN);
        mpfr_pow(r22234, r22230, r22233, MPFR_RNDN);
        mpfr_set_d(r22235, k, MPFR_RNDN);
        mpfr_div(r22236, r22235, r22232, MPFR_RNDN);
        mpfr_pow(r22237, r22230, r22236, MPFR_RNDN);
        mpfr_div(r22238, r22234, r22237, MPFR_RNDN);
        mpfr_sqrt(r22239, r22235, MPFR_RNDN);
        mpfr_div(r22240, r22238, r22239, MPFR_RNDN);
        return mpfr_get_d(r22240, MPFR_RNDN);
}

static mpfr_t r22241, r22242, r22243, r22244, r22245, r22246, r22247, r22248, r22249, r22250, r22251, r22252, r22253, r22254;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22241);
        mpfr_init(r22242);
        mpfr_init(r22243);
        mpfr_init(r22244);
        mpfr_init_set_str(r22245, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r22246, "2", 10, MPFR_RNDN);
        mpfr_init(r22247);
        mpfr_init(r22248);
        mpfr_init(r22249);
        mpfr_init(r22250);
        mpfr_init(r22251);
        mpfr_init(r22252);
        mpfr_init(r22253);
        mpfr_init(r22254);
}

double f_dm(double k, double n) {
        mpfr_set_d(r22241, n, MPFR_RNDN);
        mpfr_const_pi(r22242, MPFR_RNDN);
        mpfr_add(r22243, r22242, r22242, MPFR_RNDN);
        mpfr_mul(r22244, r22241, r22243, MPFR_RNDN);
        ;
        ;
        mpfr_div(r22247, r22245, r22246, MPFR_RNDN);
        mpfr_pow(r22248, r22244, r22247, MPFR_RNDN);
        mpfr_set_d(r22249, k, MPFR_RNDN);
        mpfr_div(r22250, r22249, r22246, MPFR_RNDN);
        mpfr_pow(r22251, r22244, r22250, MPFR_RNDN);
        mpfr_div(r22252, r22248, r22251, MPFR_RNDN);
        mpfr_sqrt(r22253, r22249, MPFR_RNDN);
        mpfr_div(r22254, r22252, r22253, MPFR_RNDN);
        return mpfr_get_d(r22254, MPFR_RNDN);
}