#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 r25587 = 1;
        float r25588 = k;
        float r25589 = sqrt(r25588);
        float r25590 = r25587 / r25589;
        float r25591 = 2;
        float r25592 = atan2(1.0, 0.0);
        float r25593 = r25591 * r25592;
        float r25594 = n;
        float r25595 = r25593 * r25594;
        float r25596 = r25587 - r25588;
        float r25597 = r25596 / r25591;
        float r25598 = pow(r25595, r25597);
        float r25599 = r25590 * r25598;
        return r25599;
}

double f_id(double k, double n) {
        double r25600 = 1;
        double r25601 = k;
        double r25602 = sqrt(r25601);
        double r25603 = r25600 / r25602;
        double r25604 = 2;
        double r25605 = atan2(1.0, 0.0);
        double r25606 = r25604 * r25605;
        double r25607 = n;
        double r25608 = r25606 * r25607;
        double r25609 = r25600 - r25601;
        double r25610 = r25609 / r25604;
        double r25611 = pow(r25608, r25610);
        double r25612 = r25603 * r25611;
        return r25612;
}


double f_of(float k, float n) {
        float r25613 = n;
        float r25614 = atan2(1.0, 0.0);
        float r25615 = 2;
        float r25616 = r25614 * r25615;
        float r25617 = r25613 * r25616;
        float r25618 = 1;
        float r25619 = r25618 / r25615;
        float r25620 = pow(r25617, r25619);
        float r25621 = k;
        float r25622 = r25621 / r25615;
        float r25623 = pow(r25617, r25622);
        float r25624 = r25620 / r25623;
        float r25625 = sqrt(r25621);
        float r25626 = r25624 / r25625;
        return r25626;
}

double f_od(double k, double n) {
        double r25627 = n;
        double r25628 = atan2(1.0, 0.0);
        double r25629 = 2;
        double r25630 = r25628 * r25629;
        double r25631 = r25627 * r25630;
        double r25632 = 1;
        double r25633 = r25632 / r25629;
        double r25634 = pow(r25631, r25633);
        double r25635 = k;
        double r25636 = r25635 / r25629;
        double r25637 = pow(r25631, r25636);
        double r25638 = r25634 / r25637;
        double r25639 = sqrt(r25635);
        double r25640 = r25638 / r25639;
        return r25640;
}

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 r25641, r25642, r25643, r25644, r25645, r25646, r25647, r25648, r25649, r25650, r25651, r25652, r25653;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init_set_str(r25641, "1", 10, MPFR_RNDN);
        mpfr_init(r25642);
        mpfr_init(r25643);
        mpfr_init(r25644);
        mpfr_init_set_str(r25645, "2", 10, MPFR_RNDN);
        mpfr_init(r25646);
        mpfr_init(r25647);
        mpfr_init(r25648);
        mpfr_init(r25649);
        mpfr_init(r25650);
        mpfr_init(r25651);
        mpfr_init(r25652);
        mpfr_init(r25653);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r25642, k, MPFR_RNDN);
        mpfr_sqrt(r25643, r25642, MPFR_RNDN);
        mpfr_div(r25644, r25641, r25643, MPFR_RNDN);
        ;
        mpfr_const_pi(r25646, MPFR_RNDN);
        mpfr_mul(r25647, r25645, r25646, MPFR_RNDN);
        mpfr_set_d(r25648, n, MPFR_RNDN);
        mpfr_mul(r25649, r25647, r25648, MPFR_RNDN);
        mpfr_sub(r25650, r25641, r25642, MPFR_RNDN);
        mpfr_div(r25651, r25650, r25645, MPFR_RNDN);
        mpfr_pow(r25652, r25649, r25651, MPFR_RNDN);
        mpfr_mul(r25653, r25644, r25652, MPFR_RNDN);
        return mpfr_get_d(r25653, MPFR_RNDN);
}

static mpfr_t r25654, r25655, r25656, r25657, r25658, r25659, r25660, r25661, r25662, r25663, r25664, r25665, r25666, r25667;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r25654);
        mpfr_init(r25655);
        mpfr_init_set_str(r25656, "2", 10, MPFR_RNDN);
        mpfr_init(r25657);
        mpfr_init(r25658);
        mpfr_init_set_str(r25659, "1", 10, MPFR_RNDN);
        mpfr_init(r25660);
        mpfr_init(r25661);
        mpfr_init(r25662);
        mpfr_init(r25663);
        mpfr_init(r25664);
        mpfr_init(r25665);
        mpfr_init(r25666);
        mpfr_init(r25667);
}

double f_fm(double k, double n) {
        mpfr_set_d(r25654, n, MPFR_RNDN);
        mpfr_const_pi(r25655, MPFR_RNDN);
        ;
        mpfr_mul(r25657, r25655, r25656, MPFR_RNDN);
        mpfr_mul(r25658, r25654, r25657, MPFR_RNDN);
        ;
        mpfr_div(r25660, r25659, r25656, MPFR_RNDN);
        mpfr_pow(r25661, r25658, r25660, MPFR_RNDN);
        mpfr_set_d(r25662, k, MPFR_RNDN);
        mpfr_div(r25663, r25662, r25656, MPFR_RNDN);
        mpfr_pow(r25664, r25658, r25663, MPFR_RNDN);
        mpfr_div(r25665, r25661, r25664, MPFR_RNDN);
        mpfr_sqrt(r25666, r25662, MPFR_RNDN);
        mpfr_div(r25667, r25665, r25666, MPFR_RNDN);
        return mpfr_get_d(r25667, MPFR_RNDN);
}

static mpfr_t r25668, r25669, r25670, r25671, r25672, r25673, r25674, r25675, r25676, r25677, r25678, r25679, r25680, r25681;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r25668);
        mpfr_init(r25669);
        mpfr_init_set_str(r25670, "2", 10, MPFR_RNDN);
        mpfr_init(r25671);
        mpfr_init(r25672);
        mpfr_init_set_str(r25673, "1", 10, MPFR_RNDN);
        mpfr_init(r25674);
        mpfr_init(r25675);
        mpfr_init(r25676);
        mpfr_init(r25677);
        mpfr_init(r25678);
        mpfr_init(r25679);
        mpfr_init(r25680);
        mpfr_init(r25681);
}

double f_dm(double k, double n) {
        mpfr_set_d(r25668, n, MPFR_RNDN);
        mpfr_const_pi(r25669, MPFR_RNDN);
        ;
        mpfr_mul(r25671, r25669, r25670, MPFR_RNDN);
        mpfr_mul(r25672, r25668, r25671, MPFR_RNDN);
        ;
        mpfr_div(r25674, r25673, r25670, MPFR_RNDN);
        mpfr_pow(r25675, r25672, r25674, MPFR_RNDN);
        mpfr_set_d(r25676, k, MPFR_RNDN);
        mpfr_div(r25677, r25676, r25670, MPFR_RNDN);
        mpfr_pow(r25678, r25672, r25677, MPFR_RNDN);
        mpfr_div(r25679, r25675, r25678, MPFR_RNDN);
        mpfr_sqrt(r25680, r25676, MPFR_RNDN);
        mpfr_div(r25681, r25679, r25680, MPFR_RNDN);
        return mpfr_get_d(r25681, MPFR_RNDN);
}