#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 r23056 = 1;
        float r23057 = k;
        float r23058 = sqrt(r23057);
        float r23059 = r23056 / r23058;
        float r23060 = 2;
        float r23061 = atan2(1.0, 0.0);
        float r23062 = r23060 * r23061;
        float r23063 = n;
        float r23064 = r23062 * r23063;
        float r23065 = r23056 - r23057;
        float r23066 = r23065 / r23060;
        float r23067 = pow(r23064, r23066);
        float r23068 = r23059 * r23067;
        return r23068;
}

double f_id(double k, double n) {
        double r23069 = 1;
        double r23070 = k;
        double r23071 = sqrt(r23070);
        double r23072 = r23069 / r23071;
        double r23073 = 2;
        double r23074 = atan2(1.0, 0.0);
        double r23075 = r23073 * r23074;
        double r23076 = n;
        double r23077 = r23075 * r23076;
        double r23078 = r23069 - r23070;
        double r23079 = r23078 / r23073;
        double r23080 = pow(r23077, r23079);
        double r23081 = r23072 * r23080;
        return r23081;
}


double f_of(float k, float n) {
        float r23082 = n;
        float r23083 = atan2(1.0, 0.0);
        float r23084 = 2;
        float r23085 = r23083 * r23084;
        float r23086 = r23082 * r23085;
        float r23087 = 1;
        float r23088 = r23087 / r23084;
        float r23089 = pow(r23086, r23088);
        float r23090 = k;
        float r23091 = sqrt(r23090);
        float r23092 = r23090 / r23084;
        float r23093 = pow(r23086, r23092);
        float r23094 = r23091 * r23093;
        float r23095 = r23089 / r23094;
        return r23095;
}

double f_od(double k, double n) {
        double r23096 = n;
        double r23097 = atan2(1.0, 0.0);
        double r23098 = 2;
        double r23099 = r23097 * r23098;
        double r23100 = r23096 * r23099;
        double r23101 = 1;
        double r23102 = r23101 / r23098;
        double r23103 = pow(r23100, r23102);
        double r23104 = k;
        double r23105 = sqrt(r23104);
        double r23106 = r23104 / r23098;
        double r23107 = pow(r23100, r23106);
        double r23108 = r23105 * r23107;
        double r23109 = r23103 / r23108;
        return r23109;
}

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 r23110, r23111, r23112, r23113, r23114, r23115, r23116, r23117, r23118, r23119, r23120, r23121, r23122;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init_set_str(r23110, "1", 10, MPFR_RNDN);
        mpfr_init(r23111);
        mpfr_init(r23112);
        mpfr_init(r23113);
        mpfr_init_set_str(r23114, "2", 10, MPFR_RNDN);
        mpfr_init(r23115);
        mpfr_init(r23116);
        mpfr_init(r23117);
        mpfr_init(r23118);
        mpfr_init(r23119);
        mpfr_init(r23120);
        mpfr_init(r23121);
        mpfr_init(r23122);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r23111, k, MPFR_RNDN);
        mpfr_sqrt(r23112, r23111, MPFR_RNDN);
        mpfr_div(r23113, r23110, r23112, MPFR_RNDN);
        ;
        mpfr_const_pi(r23115, MPFR_RNDN);
        mpfr_mul(r23116, r23114, r23115, MPFR_RNDN);
        mpfr_set_d(r23117, n, MPFR_RNDN);
        mpfr_mul(r23118, r23116, r23117, MPFR_RNDN);
        mpfr_sub(r23119, r23110, r23111, MPFR_RNDN);
        mpfr_div(r23120, r23119, r23114, MPFR_RNDN);
        mpfr_pow(r23121, r23118, r23120, MPFR_RNDN);
        mpfr_mul(r23122, r23113, r23121, MPFR_RNDN);
        return mpfr_get_d(r23122, MPFR_RNDN);
}

static mpfr_t r23123, r23124, r23125, r23126, r23127, r23128, r23129, r23130, r23131, r23132, r23133, r23134, r23135, r23136;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23123);
        mpfr_init(r23124);
        mpfr_init_set_str(r23125, "2", 10, MPFR_RNDN);
        mpfr_init(r23126);
        mpfr_init(r23127);
        mpfr_init_set_str(r23128, "1", 10, MPFR_RNDN);
        mpfr_init(r23129);
        mpfr_init(r23130);
        mpfr_init(r23131);
        mpfr_init(r23132);
        mpfr_init(r23133);
        mpfr_init(r23134);
        mpfr_init(r23135);
        mpfr_init(r23136);
}

double f_fm(double k, double n) {
        mpfr_set_d(r23123, n, MPFR_RNDN);
        mpfr_const_pi(r23124, MPFR_RNDN);
        ;
        mpfr_mul(r23126, r23124, r23125, MPFR_RNDN);
        mpfr_mul(r23127, r23123, r23126, MPFR_RNDN);
        ;
        mpfr_div(r23129, r23128, r23125, MPFR_RNDN);
        mpfr_pow(r23130, r23127, r23129, MPFR_RNDN);
        mpfr_set_d(r23131, k, MPFR_RNDN);
        mpfr_sqrt(r23132, r23131, MPFR_RNDN);
        mpfr_div(r23133, r23131, r23125, MPFR_RNDN);
        mpfr_pow(r23134, r23127, r23133, MPFR_RNDN);
        mpfr_mul(r23135, r23132, r23134, MPFR_RNDN);
        mpfr_div(r23136, r23130, r23135, MPFR_RNDN);
        return mpfr_get_d(r23136, MPFR_RNDN);
}

static mpfr_t r23137, r23138, r23139, r23140, r23141, r23142, r23143, r23144, r23145, r23146, r23147, r23148, r23149, r23150;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23137);
        mpfr_init(r23138);
        mpfr_init_set_str(r23139, "2", 10, MPFR_RNDN);
        mpfr_init(r23140);
        mpfr_init(r23141);
        mpfr_init_set_str(r23142, "1", 10, MPFR_RNDN);
        mpfr_init(r23143);
        mpfr_init(r23144);
        mpfr_init(r23145);
        mpfr_init(r23146);
        mpfr_init(r23147);
        mpfr_init(r23148);
        mpfr_init(r23149);
        mpfr_init(r23150);
}

double f_dm(double k, double n) {
        mpfr_set_d(r23137, n, MPFR_RNDN);
        mpfr_const_pi(r23138, MPFR_RNDN);
        ;
        mpfr_mul(r23140, r23138, r23139, MPFR_RNDN);
        mpfr_mul(r23141, r23137, r23140, MPFR_RNDN);
        ;
        mpfr_div(r23143, r23142, r23139, MPFR_RNDN);
        mpfr_pow(r23144, r23141, r23143, MPFR_RNDN);
        mpfr_set_d(r23145, k, MPFR_RNDN);
        mpfr_sqrt(r23146, r23145, MPFR_RNDN);
        mpfr_div(r23147, r23145, r23139, MPFR_RNDN);
        mpfr_pow(r23148, r23141, r23147, MPFR_RNDN);
        mpfr_mul(r23149, r23146, r23148, MPFR_RNDN);
        mpfr_div(r23150, r23144, r23149, MPFR_RNDN);
        return mpfr_get_d(r23150, MPFR_RNDN);
}