#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 r23072 = 1;
        float r23073 = k;
        float r23074 = sqrt(r23073);
        float r23075 = r23072 / r23074;
        float r23076 = 2;
        float r23077 = atan2(1.0, 0.0);
        float r23078 = r23076 * r23077;
        float r23079 = n;
        float r23080 = r23078 * r23079;
        float r23081 = r23072 - r23073;
        float r23082 = r23081 / r23076;
        float r23083 = pow(r23080, r23082);
        float r23084 = r23075 * r23083;
        return r23084;
}

double f_id(double k, double n) {
        double r23085 = 1;
        double r23086 = k;
        double r23087 = sqrt(r23086);
        double r23088 = r23085 / r23087;
        double r23089 = 2;
        double r23090 = atan2(1.0, 0.0);
        double r23091 = r23089 * r23090;
        double r23092 = n;
        double r23093 = r23091 * r23092;
        double r23094 = r23085 - r23086;
        double r23095 = r23094 / r23089;
        double r23096 = pow(r23093, r23095);
        double r23097 = r23088 * r23096;
        return r23097;
}


double f_of(float k, float n) {
        float r23098 = n;
        float r23099 = atan2(1.0, 0.0);
        float r23100 = 2;
        float r23101 = r23099 * r23100;
        float r23102 = r23098 * r23101;
        float r23103 = 1;
        float r23104 = r23103 / r23100;
        float r23105 = pow(r23102, r23104);
        float r23106 = k;
        float r23107 = r23106 / r23100;
        float r23108 = pow(r23102, r23107);
        float r23109 = r23105 / r23108;
        float r23110 = sqrt(r23106);
        float r23111 = r23109 / r23110;
        return r23111;
}

double f_od(double k, double n) {
        double r23112 = n;
        double r23113 = atan2(1.0, 0.0);
        double r23114 = 2;
        double r23115 = r23113 * r23114;
        double r23116 = r23112 * r23115;
        double r23117 = 1;
        double r23118 = r23117 / r23114;
        double r23119 = pow(r23116, r23118);
        double r23120 = k;
        double r23121 = r23120 / r23114;
        double r23122 = pow(r23116, r23121);
        double r23123 = r23119 / r23122;
        double r23124 = sqrt(r23120);
        double r23125 = r23123 / r23124;
        return r23125;
}

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 r23126, r23127, r23128, r23129, r23130, r23131, r23132, r23133, r23134, r23135, r23136, r23137, r23138;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init_set_str(r23126, "1", 10, MPFR_RNDN);
        mpfr_init(r23127);
        mpfr_init(r23128);
        mpfr_init(r23129);
        mpfr_init_set_str(r23130, "2", 10, MPFR_RNDN);
        mpfr_init(r23131);
        mpfr_init(r23132);
        mpfr_init(r23133);
        mpfr_init(r23134);
        mpfr_init(r23135);
        mpfr_init(r23136);
        mpfr_init(r23137);
        mpfr_init(r23138);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r23127, k, MPFR_RNDN);
        mpfr_sqrt(r23128, r23127, MPFR_RNDN);
        mpfr_div(r23129, r23126, r23128, MPFR_RNDN);
        ;
        mpfr_const_pi(r23131, MPFR_RNDN);
        mpfr_mul(r23132, r23130, r23131, MPFR_RNDN);
        mpfr_set_d(r23133, n, MPFR_RNDN);
        mpfr_mul(r23134, r23132, r23133, MPFR_RNDN);
        mpfr_sub(r23135, r23126, r23127, MPFR_RNDN);
        mpfr_div(r23136, r23135, r23130, MPFR_RNDN);
        mpfr_pow(r23137, r23134, r23136, MPFR_RNDN);
        mpfr_mul(r23138, r23129, r23137, MPFR_RNDN);
        return mpfr_get_d(r23138, MPFR_RNDN);
}

static mpfr_t r23139, r23140, r23141, r23142, r23143, r23144, r23145, r23146, r23147, r23148, r23149, r23150, r23151, r23152;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r23139);
        mpfr_init(r23140);
        mpfr_init_set_str(r23141, "2", 10, MPFR_RNDN);
        mpfr_init(r23142);
        mpfr_init(r23143);
        mpfr_init_set_str(r23144, "1", 10, MPFR_RNDN);
        mpfr_init(r23145);
        mpfr_init(r23146);
        mpfr_init(r23147);
        mpfr_init(r23148);
        mpfr_init(r23149);
        mpfr_init(r23150);
        mpfr_init(r23151);
        mpfr_init(r23152);
}

double f_fm(double k, double n) {
        mpfr_set_d(r23139, n, MPFR_RNDN);
        mpfr_const_pi(r23140, MPFR_RNDN);
        ;
        mpfr_mul(r23142, r23140, r23141, MPFR_RNDN);
        mpfr_mul(r23143, r23139, r23142, MPFR_RNDN);
        ;
        mpfr_div(r23145, r23144, r23141, MPFR_RNDN);
        mpfr_pow(r23146, r23143, r23145, MPFR_RNDN);
        mpfr_set_d(r23147, k, MPFR_RNDN);
        mpfr_div(r23148, r23147, r23141, MPFR_RNDN);
        mpfr_pow(r23149, r23143, r23148, MPFR_RNDN);
        mpfr_div(r23150, r23146, r23149, MPFR_RNDN);
        mpfr_sqrt(r23151, r23147, MPFR_RNDN);
        mpfr_div(r23152, r23150, r23151, MPFR_RNDN);
        return mpfr_get_d(r23152, MPFR_RNDN);
}

static mpfr_t r23153, r23154, r23155, r23156, r23157, r23158, r23159, r23160, r23161, r23162, r23163, r23164, r23165, r23166;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r23153);
        mpfr_init(r23154);
        mpfr_init_set_str(r23155, "2", 10, MPFR_RNDN);
        mpfr_init(r23156);
        mpfr_init(r23157);
        mpfr_init_set_str(r23158, "1", 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_dm(double k, double n) {
        mpfr_set_d(r23153, n, MPFR_RNDN);
        mpfr_const_pi(r23154, MPFR_RNDN);
        ;
        mpfr_mul(r23156, r23154, r23155, MPFR_RNDN);
        mpfr_mul(r23157, r23153, r23156, MPFR_RNDN);
        ;
        mpfr_div(r23159, r23158, r23155, MPFR_RNDN);
        mpfr_pow(r23160, r23157, r23159, MPFR_RNDN);
        mpfr_set_d(r23161, k, MPFR_RNDN);
        mpfr_div(r23162, r23161, r23155, MPFR_RNDN);
        mpfr_pow(r23163, r23157, r23162, MPFR_RNDN);
        mpfr_div(r23164, r23160, r23163, MPFR_RNDN);
        mpfr_sqrt(r23165, r23161, MPFR_RNDN);
        mpfr_div(r23166, r23164, r23165, MPFR_RNDN);
        return mpfr_get_d(r23166, MPFR_RNDN);
}