#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 r23091 = 1;
        float r23092 = k;
        float r23093 = sqrt(r23092);
        float r23094 = r23091 / r23093;
        float r23095 = 2;
        float r23096 = atan2(1.0, 0.0);
        float r23097 = r23095 * r23096;
        float r23098 = n;
        float r23099 = r23097 * r23098;
        float r23100 = r23091 - r23092;
        float r23101 = r23100 / r23095;
        float r23102 = pow(r23099, r23101);
        float r23103 = r23094 * r23102;
        return r23103;
}

double f_id(double k, double n) {
        double r23104 = 1;
        double r23105 = k;
        double r23106 = sqrt(r23105);
        double r23107 = r23104 / r23106;
        double r23108 = 2;
        double r23109 = atan2(1.0, 0.0);
        double r23110 = r23108 * r23109;
        double r23111 = n;
        double r23112 = r23110 * r23111;
        double r23113 = r23104 - r23105;
        double r23114 = r23113 / r23108;
        double r23115 = pow(r23112, r23114);
        double r23116 = r23107 * r23115;
        return r23116;
}


double f_of(float k, float n) {
        float r23117 = n;
        float r23118 = atan2(1.0, 0.0);
        float r23119 = 2;
        float r23120 = r23118 * r23119;
        float r23121 = r23117 * r23120;
        float r23122 = 1;
        float r23123 = r23122 / r23119;
        float r23124 = pow(r23121, r23123);
        float r23125 = k;
        float r23126 = sqrt(r23125);
        float r23127 = r23125 / r23119;
        float r23128 = pow(r23121, r23127);
        float r23129 = r23126 * r23128;
        float r23130 = r23124 / r23129;
        return r23130;
}

double f_od(double k, double n) {
        double r23131 = n;
        double r23132 = atan2(1.0, 0.0);
        double r23133 = 2;
        double r23134 = r23132 * r23133;
        double r23135 = r23131 * r23134;
        double r23136 = 1;
        double r23137 = r23136 / r23133;
        double r23138 = pow(r23135, r23137);
        double r23139 = k;
        double r23140 = sqrt(r23139);
        double r23141 = r23139 / r23133;
        double r23142 = pow(r23135, r23141);
        double r23143 = r23140 * r23142;
        double r23144 = r23138 / r23143;
        return r23144;
}

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 r23145, r23146, r23147, r23148, r23149, r23150, r23151, r23152, r23153, r23154, r23155, r23156, r23157;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init_set_str(r23145, "1", 10, MPFR_RNDN);
        mpfr_init(r23146);
        mpfr_init(r23147);
        mpfr_init(r23148);
        mpfr_init_set_str(r23149, "2", 10, MPFR_RNDN);
        mpfr_init(r23150);
        mpfr_init(r23151);
        mpfr_init(r23152);
        mpfr_init(r23153);
        mpfr_init(r23154);
        mpfr_init(r23155);
        mpfr_init(r23156);
        mpfr_init(r23157);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r23146, k, MPFR_RNDN);
        mpfr_sqrt(r23147, r23146, MPFR_RNDN);
        mpfr_div(r23148, r23145, r23147, MPFR_RNDN);
        ;
        mpfr_const_pi(r23150, MPFR_RNDN);
        mpfr_mul(r23151, r23149, r23150, MPFR_RNDN);
        mpfr_set_d(r23152, n, MPFR_RNDN);
        mpfr_mul(r23153, r23151, r23152, MPFR_RNDN);
        mpfr_sub(r23154, r23145, r23146, MPFR_RNDN);
        mpfr_div(r23155, r23154, r23149, MPFR_RNDN);
        mpfr_pow(r23156, r23153, r23155, MPFR_RNDN);
        mpfr_mul(r23157, r23148, r23156, MPFR_RNDN);
        return mpfr_get_d(r23157, MPFR_RNDN);
}

static mpfr_t r23158, r23159, r23160, r23161, r23162, r23163, r23164, r23165, r23166, r23167, r23168, r23169, r23170, r23171;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23158);
        mpfr_init(r23159);
        mpfr_init_set_str(r23160, "2", 10, MPFR_RNDN);
        mpfr_init(r23161);
        mpfr_init(r23162);
        mpfr_init_set_str(r23163, "1", 10, MPFR_RNDN);
        mpfr_init(r23164);
        mpfr_init(r23165);
        mpfr_init(r23166);
        mpfr_init(r23167);
        mpfr_init(r23168);
        mpfr_init(r23169);
        mpfr_init(r23170);
        mpfr_init(r23171);
}

double f_fm(double k, double n) {
        mpfr_set_d(r23158, n, MPFR_RNDN);
        mpfr_const_pi(r23159, MPFR_RNDN);
        ;
        mpfr_mul(r23161, r23159, r23160, MPFR_RNDN);
        mpfr_mul(r23162, r23158, r23161, MPFR_RNDN);
        ;
        mpfr_div(r23164, r23163, r23160, MPFR_RNDN);
        mpfr_pow(r23165, r23162, r23164, MPFR_RNDN);
        mpfr_set_d(r23166, k, MPFR_RNDN);
        mpfr_sqrt(r23167, r23166, MPFR_RNDN);
        mpfr_div(r23168, r23166, r23160, MPFR_RNDN);
        mpfr_pow(r23169, r23162, r23168, MPFR_RNDN);
        mpfr_mul(r23170, r23167, r23169, MPFR_RNDN);
        mpfr_div(r23171, r23165, r23170, MPFR_RNDN);
        return mpfr_get_d(r23171, MPFR_RNDN);
}

static mpfr_t r23172, r23173, r23174, r23175, r23176, r23177, r23178, r23179, r23180, r23181, r23182, r23183, r23184, r23185;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23172);
        mpfr_init(r23173);
        mpfr_init_set_str(r23174, "2", 10, MPFR_RNDN);
        mpfr_init(r23175);
        mpfr_init(r23176);
        mpfr_init_set_str(r23177, "1", 10, MPFR_RNDN);
        mpfr_init(r23178);
        mpfr_init(r23179);
        mpfr_init(r23180);
        mpfr_init(r23181);
        mpfr_init(r23182);
        mpfr_init(r23183);
        mpfr_init(r23184);
        mpfr_init(r23185);
}

double f_dm(double k, double n) {
        mpfr_set_d(r23172, n, MPFR_RNDN);
        mpfr_const_pi(r23173, MPFR_RNDN);
        ;
        mpfr_mul(r23175, r23173, r23174, MPFR_RNDN);
        mpfr_mul(r23176, r23172, r23175, MPFR_RNDN);
        ;
        mpfr_div(r23178, r23177, r23174, MPFR_RNDN);
        mpfr_pow(r23179, r23176, r23178, MPFR_RNDN);
        mpfr_set_d(r23180, k, MPFR_RNDN);
        mpfr_sqrt(r23181, r23180, MPFR_RNDN);
        mpfr_div(r23182, r23180, r23174, MPFR_RNDN);
        mpfr_pow(r23183, r23176, r23182, MPFR_RNDN);
        mpfr_mul(r23184, r23181, r23183, MPFR_RNDN);
        mpfr_div(r23185, r23179, r23184, MPFR_RNDN);
        return mpfr_get_d(r23185, MPFR_RNDN);
}