#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 r23100 = 1;
        float r23101 = k;
        float r23102 = sqrt(r23101);
        float r23103 = r23100 / r23102;
        float r23104 = 2;
        float r23105 = atan2(1.0, 0.0);
        float r23106 = r23104 * r23105;
        float r23107 = n;
        float r23108 = r23106 * r23107;
        float r23109 = r23100 - r23101;
        float r23110 = r23109 / r23104;
        float r23111 = pow(r23108, r23110);
        float r23112 = r23103 * r23111;
        return r23112;
}

double f_id(double k, double n) {
        double r23113 = 1;
        double r23114 = k;
        double r23115 = sqrt(r23114);
        double r23116 = r23113 / r23115;
        double r23117 = 2;
        double r23118 = atan2(1.0, 0.0);
        double r23119 = r23117 * r23118;
        double r23120 = n;
        double r23121 = r23119 * r23120;
        double r23122 = r23113 - r23114;
        double r23123 = r23122 / r23117;
        double r23124 = pow(r23121, r23123);
        double r23125 = r23116 * r23124;
        return r23125;
}


double f_of(float k, float n) {
        float r23126 = n;
        float r23127 = atan2(1.0, 0.0);
        float r23128 = 2;
        float r23129 = r23127 * r23128;
        float r23130 = r23126 * r23129;
        float r23131 = 1;
        float r23132 = r23131 / r23128;
        float r23133 = pow(r23130, r23132);
        float r23134 = k;
        float r23135 = r23134 / r23128;
        float r23136 = pow(r23130, r23135);
        float r23137 = r23133 / r23136;
        float r23138 = sqrt(r23134);
        float r23139 = r23137 / r23138;
        return r23139;
}

double f_od(double k, double n) {
        double r23140 = n;
        double r23141 = atan2(1.0, 0.0);
        double r23142 = 2;
        double r23143 = r23141 * r23142;
        double r23144 = r23140 * r23143;
        double r23145 = 1;
        double r23146 = r23145 / r23142;
        double r23147 = pow(r23144, r23146);
        double r23148 = k;
        double r23149 = r23148 / r23142;
        double r23150 = pow(r23144, r23149);
        double r23151 = r23147 / r23150;
        double r23152 = sqrt(r23148);
        double r23153 = r23151 / r23152;
        return r23153;
}

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 r23154, r23155, r23156, r23157, r23158, r23159, r23160, r23161, r23162, r23163, r23164, r23165, r23166;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init_set_str(r23154, "1", 10, MPFR_RNDN);
        mpfr_init(r23155);
        mpfr_init(r23156);
        mpfr_init(r23157);
        mpfr_init_set_str(r23158, "2", 10, MPFR_RNDN);
        mpfr_init(r23159);
        mpfr_init(r23160);
        mpfr_init(r23161);
        mpfr_init(r23162);
        mpfr_init(r23163);
        mpfr_init(r23164);
        mpfr_init(r23165);
        mpfr_init(r23166);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r23155, k, MPFR_RNDN);
        mpfr_sqrt(r23156, r23155, MPFR_RNDN);
        mpfr_div(r23157, r23154, r23156, MPFR_RNDN);
        ;
        mpfr_const_pi(r23159, MPFR_RNDN);
        mpfr_mul(r23160, r23158, r23159, MPFR_RNDN);
        mpfr_set_d(r23161, n, MPFR_RNDN);
        mpfr_mul(r23162, r23160, r23161, MPFR_RNDN);
        mpfr_sub(r23163, r23154, r23155, MPFR_RNDN);
        mpfr_div(r23164, r23163, r23158, MPFR_RNDN);
        mpfr_pow(r23165, r23162, r23164, MPFR_RNDN);
        mpfr_mul(r23166, r23157, r23165, MPFR_RNDN);
        return mpfr_get_d(r23166, MPFR_RNDN);
}

static mpfr_t r23167, r23168, r23169, r23170, r23171, r23172, r23173, r23174, r23175, r23176, r23177, r23178, r23179, r23180;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r23167);
        mpfr_init(r23168);
        mpfr_init_set_str(r23169, "2", 10, MPFR_RNDN);
        mpfr_init(r23170);
        mpfr_init(r23171);
        mpfr_init_set_str(r23172, "1", 10, MPFR_RNDN);
        mpfr_init(r23173);
        mpfr_init(r23174);
        mpfr_init(r23175);
        mpfr_init(r23176);
        mpfr_init(r23177);
        mpfr_init(r23178);
        mpfr_init(r23179);
        mpfr_init(r23180);
}

double f_fm(double k, double n) {
        mpfr_set_d(r23167, n, MPFR_RNDN);
        mpfr_const_pi(r23168, MPFR_RNDN);
        ;
        mpfr_mul(r23170, r23168, r23169, MPFR_RNDN);
        mpfr_mul(r23171, r23167, r23170, MPFR_RNDN);
        ;
        mpfr_div(r23173, r23172, r23169, MPFR_RNDN);
        mpfr_pow(r23174, r23171, r23173, MPFR_RNDN);
        mpfr_set_d(r23175, k, MPFR_RNDN);
        mpfr_div(r23176, r23175, r23169, MPFR_RNDN);
        mpfr_pow(r23177, r23171, r23176, MPFR_RNDN);
        mpfr_div(r23178, r23174, r23177, MPFR_RNDN);
        mpfr_sqrt(r23179, r23175, MPFR_RNDN);
        mpfr_div(r23180, r23178, r23179, MPFR_RNDN);
        return mpfr_get_d(r23180, MPFR_RNDN);
}

static mpfr_t r23181, r23182, r23183, r23184, r23185, r23186, r23187, r23188, r23189, r23190, r23191, r23192, r23193, r23194;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r23181);
        mpfr_init(r23182);
        mpfr_init_set_str(r23183, "2", 10, MPFR_RNDN);
        mpfr_init(r23184);
        mpfr_init(r23185);
        mpfr_init_set_str(r23186, "1", 10, MPFR_RNDN);
        mpfr_init(r23187);
        mpfr_init(r23188);
        mpfr_init(r23189);
        mpfr_init(r23190);
        mpfr_init(r23191);
        mpfr_init(r23192);
        mpfr_init(r23193);
        mpfr_init(r23194);
}

double f_dm(double k, double n) {
        mpfr_set_d(r23181, n, MPFR_RNDN);
        mpfr_const_pi(r23182, MPFR_RNDN);
        ;
        mpfr_mul(r23184, r23182, r23183, MPFR_RNDN);
        mpfr_mul(r23185, r23181, r23184, MPFR_RNDN);
        ;
        mpfr_div(r23187, r23186, r23183, MPFR_RNDN);
        mpfr_pow(r23188, r23185, r23187, MPFR_RNDN);
        mpfr_set_d(r23189, k, MPFR_RNDN);
        mpfr_div(r23190, r23189, r23183, MPFR_RNDN);
        mpfr_pow(r23191, r23185, r23190, MPFR_RNDN);
        mpfr_div(r23192, r23188, r23191, MPFR_RNDN);
        mpfr_sqrt(r23193, r23189, MPFR_RNDN);
        mpfr_div(r23194, r23192, r23193, MPFR_RNDN);
        return mpfr_get_d(r23194, MPFR_RNDN);
}