#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 r23063 = 1;
        float r23064 = k;
        float r23065 = sqrt(r23064);
        float r23066 = r23063 / r23065;
        float r23067 = 2;
        float r23068 = atan2(1.0, 0.0);
        float r23069 = r23067 * r23068;
        float r23070 = n;
        float r23071 = r23069 * r23070;
        float r23072 = r23063 - r23064;
        float r23073 = r23072 / r23067;
        float r23074 = pow(r23071, r23073);
        float r23075 = r23066 * r23074;
        return r23075;
}

double f_id(double k, double n) {
        double r23076 = 1;
        double r23077 = k;
        double r23078 = sqrt(r23077);
        double r23079 = r23076 / r23078;
        double r23080 = 2;
        double r23081 = atan2(1.0, 0.0);
        double r23082 = r23080 * r23081;
        double r23083 = n;
        double r23084 = r23082 * r23083;
        double r23085 = r23076 - r23077;
        double r23086 = r23085 / r23080;
        double r23087 = pow(r23084, r23086);
        double r23088 = r23079 * r23087;
        return r23088;
}


double f_of(float k, float n) {
        float r23089 = k;
        float r23090 = 1/2;
        float r23091 = -r23090;
        float r23092 = pow(r23089, r23091);
        float r23093 = 2;
        float r23094 = atan2(1.0, 0.0);
        float r23095 = r23093 * r23094;
        float r23096 = n;
        float r23097 = r23095 * r23096;
        float r23098 = 1;
        float r23099 = r23098 - r23089;
        float r23100 = r23099 / r23093;
        float r23101 = pow(r23097, r23100);
        float r23102 = r23092 * r23101;
        return r23102;
}

double f_od(double k, double n) {
        double r23103 = k;
        double r23104 = 1/2;
        double r23105 = -r23104;
        double r23106 = pow(r23103, r23105);
        double r23107 = 2;
        double r23108 = atan2(1.0, 0.0);
        double r23109 = r23107 * r23108;
        double r23110 = n;
        double r23111 = r23109 * r23110;
        double r23112 = 1;
        double r23113 = r23112 - r23103;
        double r23114 = r23113 / r23107;
        double r23115 = pow(r23111, r23114);
        double r23116 = r23106 * r23115;
        return r23116;
}

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 r23117, r23118, r23119, r23120, r23121, r23122, r23123, r23124, r23125, r23126, r23127, r23128, r23129;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init_set_str(r23117, "1", 10, MPFR_RNDN);
        mpfr_init(r23118);
        mpfr_init(r23119);
        mpfr_init(r23120);
        mpfr_init_set_str(r23121, "2", 10, MPFR_RNDN);
        mpfr_init(r23122);
        mpfr_init(r23123);
        mpfr_init(r23124);
        mpfr_init(r23125);
        mpfr_init(r23126);
        mpfr_init(r23127);
        mpfr_init(r23128);
        mpfr_init(r23129);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r23118, k, MPFR_RNDN);
        mpfr_sqrt(r23119, r23118, MPFR_RNDN);
        mpfr_div(r23120, r23117, r23119, MPFR_RNDN);
        ;
        mpfr_const_pi(r23122, MPFR_RNDN);
        mpfr_mul(r23123, r23121, r23122, MPFR_RNDN);
        mpfr_set_d(r23124, n, MPFR_RNDN);
        mpfr_mul(r23125, r23123, r23124, MPFR_RNDN);
        mpfr_sub(r23126, r23117, r23118, MPFR_RNDN);
        mpfr_div(r23127, r23126, r23121, MPFR_RNDN);
        mpfr_pow(r23128, r23125, r23127, MPFR_RNDN);
        mpfr_mul(r23129, r23120, r23128, MPFR_RNDN);
        return mpfr_get_d(r23129, MPFR_RNDN);
}

static mpfr_t r23130, r23131, r23132, r23133, r23134, r23135, r23136, r23137, r23138, r23139, r23140, r23141, r23142, r23143;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23130);
        mpfr_init_set_str(r23131, "1/2", 10, MPFR_RNDN);
        mpfr_init(r23132);
        mpfr_init(r23133);
        mpfr_init_set_str(r23134, "2", 10, MPFR_RNDN);
        mpfr_init(r23135);
        mpfr_init(r23136);
        mpfr_init(r23137);
        mpfr_init(r23138);
        mpfr_init_set_str(r23139, "1", 10, MPFR_RNDN);
        mpfr_init(r23140);
        mpfr_init(r23141);
        mpfr_init(r23142);
        mpfr_init(r23143);
}

double f_fm(double k, double n) {
        mpfr_set_d(r23130, k, MPFR_RNDN);
        ;
        mpfr_neg(r23132, r23131, MPFR_RNDN);
        mpfr_pow(r23133, r23130, r23132, MPFR_RNDN);
        ;
        mpfr_const_pi(r23135, MPFR_RNDN);
        mpfr_mul(r23136, r23134, r23135, MPFR_RNDN);
        mpfr_set_d(r23137, n, MPFR_RNDN);
        mpfr_mul(r23138, r23136, r23137, MPFR_RNDN);
        ;
        mpfr_sub(r23140, r23139, r23130, MPFR_RNDN);
        mpfr_div(r23141, r23140, r23134, MPFR_RNDN);
        mpfr_pow(r23142, r23138, r23141, MPFR_RNDN);
        mpfr_mul(r23143, r23133, r23142, MPFR_RNDN);
        return mpfr_get_d(r23143, MPFR_RNDN);
}

static mpfr_t r23144, r23145, r23146, r23147, r23148, r23149, r23150, r23151, r23152, r23153, r23154, r23155, r23156, r23157;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23144);
        mpfr_init_set_str(r23145, "1/2", 10, MPFR_RNDN);
        mpfr_init(r23146);
        mpfr_init(r23147);
        mpfr_init_set_str(r23148, "2", 10, MPFR_RNDN);
        mpfr_init(r23149);
        mpfr_init(r23150);
        mpfr_init(r23151);
        mpfr_init(r23152);
        mpfr_init_set_str(r23153, "1", 10, MPFR_RNDN);
        mpfr_init(r23154);
        mpfr_init(r23155);
        mpfr_init(r23156);
        mpfr_init(r23157);
}

double f_dm(double k, double n) {
        mpfr_set_d(r23144, k, MPFR_RNDN);
        ;
        mpfr_neg(r23146, r23145, MPFR_RNDN);
        mpfr_pow(r23147, r23144, r23146, MPFR_RNDN);
        ;
        mpfr_const_pi(r23149, MPFR_RNDN);
        mpfr_mul(r23150, r23148, r23149, MPFR_RNDN);
        mpfr_set_d(r23151, n, MPFR_RNDN);
        mpfr_mul(r23152, r23150, r23151, MPFR_RNDN);
        ;
        mpfr_sub(r23154, r23153, r23144, MPFR_RNDN);
        mpfr_div(r23155, r23154, r23148, MPFR_RNDN);
        mpfr_pow(r23156, r23152, r23155, MPFR_RNDN);
        mpfr_mul(r23157, r23147, r23156, MPFR_RNDN);
        return mpfr_get_d(r23157, MPFR_RNDN);
}