#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 r23123 = 1;
        float r23124 = k;
        float r23125 = sqrt(r23124);
        float r23126 = r23123 / r23125;
        float r23127 = 2;
        float r23128 = atan2(1.0, 0.0);
        float r23129 = r23127 * r23128;
        float r23130 = n;
        float r23131 = r23129 * r23130;
        float r23132 = r23123 - r23124;
        float r23133 = r23132 / r23127;
        float r23134 = pow(r23131, r23133);
        float r23135 = r23126 * r23134;
        return r23135;
}

double f_id(double k, double n) {
        double r23136 = 1;
        double r23137 = k;
        double r23138 = sqrt(r23137);
        double r23139 = r23136 / r23138;
        double r23140 = 2;
        double r23141 = atan2(1.0, 0.0);
        double r23142 = r23140 * r23141;
        double r23143 = n;
        double r23144 = r23142 * r23143;
        double r23145 = r23136 - r23137;
        double r23146 = r23145 / r23140;
        double r23147 = pow(r23144, r23146);
        double r23148 = r23139 * r23147;
        return r23148;
}


double f_of(float k, float n) {
        float r23149 = atan2(1.0, 0.0);
        float r23150 = -2;
        float r23151 = r23149 * r23150;
        float r23152 = -1;
        float r23153 = n;
        float r23154 = r23152 / r23153;
        float r23155 = r23151 / r23154;
        float r23156 = sqrt(r23155);
        float r23157 = k;
        float r23158 = sqrt(r23157);
        float r23159 = r23156 / r23158;
        float r23160 = 2;
        float r23161 = r23160 * r23149;
        float r23162 = r23161 * r23153;
        float r23163 = r23157 / r23160;
        float r23164 = pow(r23162, r23163);
        float r23165 = r23159 / r23164;
        return r23165;
}

double f_od(double k, double n) {
        double r23166 = atan2(1.0, 0.0);
        double r23167 = -2;
        double r23168 = r23166 * r23167;
        double r23169 = -1;
        double r23170 = n;
        double r23171 = r23169 / r23170;
        double r23172 = r23168 / r23171;
        double r23173 = sqrt(r23172);
        double r23174 = k;
        double r23175 = sqrt(r23174);
        double r23176 = r23173 / r23175;
        double r23177 = 2;
        double r23178 = r23177 * r23166;
        double r23179 = r23178 * r23170;
        double r23180 = r23174 / r23177;
        double r23181 = pow(r23179, r23180);
        double r23182 = r23176 / r23181;
        return r23182;
}

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 r23183, r23184, r23185, r23186, r23187, r23188, r23189, r23190, r23191, r23192, r23193, r23194, r23195;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init_set_str(r23183, "1", 10, MPFR_RNDN);
        mpfr_init(r23184);
        mpfr_init(r23185);
        mpfr_init(r23186);
        mpfr_init_set_str(r23187, "2", 10, MPFR_RNDN);
        mpfr_init(r23188);
        mpfr_init(r23189);
        mpfr_init(r23190);
        mpfr_init(r23191);
        mpfr_init(r23192);
        mpfr_init(r23193);
        mpfr_init(r23194);
        mpfr_init(r23195);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r23184, k, MPFR_RNDN);
        mpfr_sqrt(r23185, r23184, MPFR_RNDN);
        mpfr_div(r23186, r23183, r23185, MPFR_RNDN);
        ;
        mpfr_const_pi(r23188, MPFR_RNDN);
        mpfr_mul(r23189, r23187, r23188, MPFR_RNDN);
        mpfr_set_d(r23190, n, MPFR_RNDN);
        mpfr_mul(r23191, r23189, r23190, MPFR_RNDN);
        mpfr_sub(r23192, r23183, r23184, MPFR_RNDN);
        mpfr_div(r23193, r23192, r23187, MPFR_RNDN);
        mpfr_pow(r23194, r23191, r23193, MPFR_RNDN);
        mpfr_mul(r23195, r23186, r23194, MPFR_RNDN);
        return mpfr_get_d(r23195, MPFR_RNDN);
}

static mpfr_t r23196, r23197, r23198, r23199, r23200, r23201, r23202, r23203, r23204, r23205, r23206, r23207, r23208, r23209, r23210, r23211, r23212;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23196);
        mpfr_init_set_str(r23197, "-2", 10, MPFR_RNDN);
        mpfr_init(r23198);
        mpfr_init_set_str(r23199, "-1", 10, MPFR_RNDN);
        mpfr_init(r23200);
        mpfr_init(r23201);
        mpfr_init(r23202);
        mpfr_init(r23203);
        mpfr_init(r23204);
        mpfr_init(r23205);
        mpfr_init(r23206);
        mpfr_init_set_str(r23207, "2", 10, MPFR_RNDN);
        mpfr_init(r23208);
        mpfr_init(r23209);
        mpfr_init(r23210);
        mpfr_init(r23211);
        mpfr_init(r23212);
}

double f_fm(double k, double n) {
        mpfr_const_pi(r23196, MPFR_RNDN);
        ;
        mpfr_mul(r23198, r23196, r23197, MPFR_RNDN);
        ;
        mpfr_set_d(r23200, n, MPFR_RNDN);
        mpfr_div(r23201, r23199, r23200, MPFR_RNDN);
        mpfr_div(r23202, r23198, r23201, MPFR_RNDN);
        mpfr_sqrt(r23203, r23202, MPFR_RNDN);
        mpfr_set_d(r23204, k, MPFR_RNDN);
        mpfr_sqrt(r23205, r23204, MPFR_RNDN);
        mpfr_div(r23206, r23203, r23205, MPFR_RNDN);
        ;
        mpfr_mul(r23208, r23207, r23196, MPFR_RNDN);
        mpfr_mul(r23209, r23208, r23200, MPFR_RNDN);
        mpfr_div(r23210, r23204, r23207, MPFR_RNDN);
        mpfr_pow(r23211, r23209, r23210, MPFR_RNDN);
        mpfr_div(r23212, r23206, r23211, MPFR_RNDN);
        return mpfr_get_d(r23212, MPFR_RNDN);
}

static mpfr_t r23213, r23214, r23215, r23216, r23217, r23218, r23219, r23220, r23221, r23222, r23223, r23224, r23225, r23226, r23227, r23228, r23229;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23213);
        mpfr_init_set_str(r23214, "-2", 10, MPFR_RNDN);
        mpfr_init(r23215);
        mpfr_init_set_str(r23216, "-1", 10, MPFR_RNDN);
        mpfr_init(r23217);
        mpfr_init(r23218);
        mpfr_init(r23219);
        mpfr_init(r23220);
        mpfr_init(r23221);
        mpfr_init(r23222);
        mpfr_init(r23223);
        mpfr_init_set_str(r23224, "2", 10, MPFR_RNDN);
        mpfr_init(r23225);
        mpfr_init(r23226);
        mpfr_init(r23227);
        mpfr_init(r23228);
        mpfr_init(r23229);
}

double f_dm(double k, double n) {
        mpfr_const_pi(r23213, MPFR_RNDN);
        ;
        mpfr_mul(r23215, r23213, r23214, MPFR_RNDN);
        ;
        mpfr_set_d(r23217, n, MPFR_RNDN);
        mpfr_div(r23218, r23216, r23217, MPFR_RNDN);
        mpfr_div(r23219, r23215, r23218, MPFR_RNDN);
        mpfr_sqrt(r23220, r23219, MPFR_RNDN);
        mpfr_set_d(r23221, k, MPFR_RNDN);
        mpfr_sqrt(r23222, r23221, MPFR_RNDN);
        mpfr_div(r23223, r23220, r23222, MPFR_RNDN);
        ;
        mpfr_mul(r23225, r23224, r23213, MPFR_RNDN);
        mpfr_mul(r23226, r23225, r23217, MPFR_RNDN);
        mpfr_div(r23227, r23221, r23224, MPFR_RNDN);
        mpfr_pow(r23228, r23226, r23227, MPFR_RNDN);
        mpfr_div(r23229, r23223, r23228, MPFR_RNDN);
        return mpfr_get_d(r23229, MPFR_RNDN);
}

