#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 r23124 = 1;
        float r23125 = k;
        float r23126 = sqrt(r23125);
        float r23127 = r23124 / r23126;
        float r23128 = 2;
        float r23129 = atan2(1.0, 0.0);
        float r23130 = r23128 * r23129;
        float r23131 = n;
        float r23132 = r23130 * r23131;
        float r23133 = r23124 - r23125;
        float r23134 = r23133 / r23128;
        float r23135 = pow(r23132, r23134);
        float r23136 = r23127 * r23135;
        return r23136;
}

double f_id(double k, double n) {
        double r23137 = 1;
        double r23138 = k;
        double r23139 = sqrt(r23138);
        double r23140 = r23137 / r23139;
        double r23141 = 2;
        double r23142 = atan2(1.0, 0.0);
        double r23143 = r23141 * r23142;
        double r23144 = n;
        double r23145 = r23143 * r23144;
        double r23146 = r23137 - r23138;
        double r23147 = r23146 / r23141;
        double r23148 = pow(r23145, r23147);
        double r23149 = r23140 * r23148;
        return r23149;
}


double f_of(float k, float n) {
        float r23150 = n;
        float r23151 = atan2(1.0, 0.0);
        float r23152 = 2;
        float r23153 = r23151 * r23152;
        float r23154 = r23150 * r23153;
        float r23155 = 1;
        float r23156 = r23155 / r23152;
        float r23157 = pow(r23154, r23156);
        float r23158 = k;
        float r23159 = r23158 / r23152;
        float r23160 = pow(r23154, r23159);
        float r23161 = r23157 / r23160;
        float r23162 = sqrt(r23158);
        float r23163 = r23161 / r23162;
        return r23163;
}

double f_od(double k, double n) {
        double r23164 = n;
        double r23165 = atan2(1.0, 0.0);
        double r23166 = 2;
        double r23167 = r23165 * r23166;
        double r23168 = r23164 * r23167;
        double r23169 = 1;
        double r23170 = r23169 / r23166;
        double r23171 = pow(r23168, r23170);
        double r23172 = k;
        double r23173 = r23172 / r23166;
        double r23174 = pow(r23168, r23173);
        double r23175 = r23171 / r23174;
        double r23176 = sqrt(r23172);
        double r23177 = r23175 / r23176;
        return r23177;
}

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 r23178, r23179, r23180, r23181, r23182, r23183, r23184, r23185, r23186, r23187, r23188, r23189, r23190;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init_set_str(r23178, "1", 10, MPFR_RNDN);
        mpfr_init(r23179);
        mpfr_init(r23180);
        mpfr_init(r23181);
        mpfr_init_set_str(r23182, "2", 10, MPFR_RNDN);
        mpfr_init(r23183);
        mpfr_init(r23184);
        mpfr_init(r23185);
        mpfr_init(r23186);
        mpfr_init(r23187);
        mpfr_init(r23188);
        mpfr_init(r23189);
        mpfr_init(r23190);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r23179, k, MPFR_RNDN);
        mpfr_sqrt(r23180, r23179, MPFR_RNDN);
        mpfr_div(r23181, r23178, r23180, MPFR_RNDN);
        ;
        mpfr_const_pi(r23183, MPFR_RNDN);
        mpfr_mul(r23184, r23182, r23183, MPFR_RNDN);
        mpfr_set_d(r23185, n, MPFR_RNDN);
        mpfr_mul(r23186, r23184, r23185, MPFR_RNDN);
        mpfr_sub(r23187, r23178, r23179, MPFR_RNDN);
        mpfr_div(r23188, r23187, r23182, MPFR_RNDN);
        mpfr_pow(r23189, r23186, r23188, MPFR_RNDN);
        mpfr_mul(r23190, r23181, r23189, MPFR_RNDN);
        return mpfr_get_d(r23190, MPFR_RNDN);
}

static mpfr_t r23191, r23192, r23193, r23194, r23195, r23196, r23197, r23198, r23199, r23200, r23201, r23202, r23203, r23204;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r23191);
        mpfr_init(r23192);
        mpfr_init_set_str(r23193, "2", 10, MPFR_RNDN);
        mpfr_init(r23194);
        mpfr_init(r23195);
        mpfr_init_set_str(r23196, "1", 10, MPFR_RNDN);
        mpfr_init(r23197);
        mpfr_init(r23198);
        mpfr_init(r23199);
        mpfr_init(r23200);
        mpfr_init(r23201);
        mpfr_init(r23202);
        mpfr_init(r23203);
        mpfr_init(r23204);
}

double f_fm(double k, double n) {
        mpfr_set_d(r23191, n, MPFR_RNDN);
        mpfr_const_pi(r23192, MPFR_RNDN);
        ;
        mpfr_mul(r23194, r23192, r23193, MPFR_RNDN);
        mpfr_mul(r23195, r23191, r23194, MPFR_RNDN);
        ;
        mpfr_div(r23197, r23196, r23193, MPFR_RNDN);
        mpfr_pow(r23198, r23195, r23197, MPFR_RNDN);
        mpfr_set_d(r23199, k, MPFR_RNDN);
        mpfr_div(r23200, r23199, r23193, MPFR_RNDN);
        mpfr_pow(r23201, r23195, r23200, MPFR_RNDN);
        mpfr_div(r23202, r23198, r23201, MPFR_RNDN);
        mpfr_sqrt(r23203, r23199, MPFR_RNDN);
        mpfr_div(r23204, r23202, r23203, MPFR_RNDN);
        return mpfr_get_d(r23204, MPFR_RNDN);
}

static mpfr_t r23205, r23206, r23207, r23208, r23209, r23210, r23211, r23212, r23213, r23214, r23215, r23216, r23217, r23218;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r23205);
        mpfr_init(r23206);
        mpfr_init_set_str(r23207, "2", 10, MPFR_RNDN);
        mpfr_init(r23208);
        mpfr_init(r23209);
        mpfr_init_set_str(r23210, "1", 10, MPFR_RNDN);
        mpfr_init(r23211);
        mpfr_init(r23212);
        mpfr_init(r23213);
        mpfr_init(r23214);
        mpfr_init(r23215);
        mpfr_init(r23216);
        mpfr_init(r23217);
        mpfr_init(r23218);
}

double f_dm(double k, double n) {
        mpfr_set_d(r23205, n, MPFR_RNDN);
        mpfr_const_pi(r23206, MPFR_RNDN);
        ;
        mpfr_mul(r23208, r23206, r23207, MPFR_RNDN);
        mpfr_mul(r23209, r23205, r23208, MPFR_RNDN);
        ;
        mpfr_div(r23211, r23210, r23207, MPFR_RNDN);
        mpfr_pow(r23212, r23209, r23211, MPFR_RNDN);
        mpfr_set_d(r23213, k, MPFR_RNDN);
        mpfr_div(r23214, r23213, r23207, MPFR_RNDN);
        mpfr_pow(r23215, r23209, r23214, MPFR_RNDN);
        mpfr_div(r23216, r23212, r23215, MPFR_RNDN);
        mpfr_sqrt(r23217, r23213, MPFR_RNDN);
        mpfr_div(r23218, r23216, r23217, MPFR_RNDN);
        return mpfr_get_d(r23218, MPFR_RNDN);
}