#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 r25670 = 1;
        float r25671 = k;
        float r25672 = sqrt(r25671);
        float r25673 = r25670 / r25672;
        float r25674 = 2;
        float r25675 = atan2(1.0, 0.0);
        float r25676 = r25674 * r25675;
        float r25677 = n;
        float r25678 = r25676 * r25677;
        float r25679 = r25670 - r25671;
        float r25680 = r25679 / r25674;
        float r25681 = pow(r25678, r25680);
        float r25682 = r25673 * r25681;
        return r25682;
}

double f_id(double k, double n) {
        double r25683 = 1;
        double r25684 = k;
        double r25685 = sqrt(r25684);
        double r25686 = r25683 / r25685;
        double r25687 = 2;
        double r25688 = atan2(1.0, 0.0);
        double r25689 = r25687 * r25688;
        double r25690 = n;
        double r25691 = r25689 * r25690;
        double r25692 = r25683 - r25684;
        double r25693 = r25692 / r25687;
        double r25694 = pow(r25691, r25693);
        double r25695 = r25686 * r25694;
        return r25695;
}


double f_of(float k, float n) {
        float r25696 = n;
        float r25697 = atan2(1.0, 0.0);
        float r25698 = 2;
        float r25699 = r25697 * r25698;
        float r25700 = r25696 * r25699;
        float r25701 = 1;
        float r25702 = r25701 / r25698;
        float r25703 = pow(r25700, r25702);
        float r25704 = k;
        float r25705 = r25704 / r25698;
        float r25706 = pow(r25700, r25705);
        float r25707 = r25703 / r25706;
        float r25708 = sqrt(r25704);
        float r25709 = r25707 / r25708;
        return r25709;
}

double f_od(double k, double n) {
        double r25710 = n;
        double r25711 = atan2(1.0, 0.0);
        double r25712 = 2;
        double r25713 = r25711 * r25712;
        double r25714 = r25710 * r25713;
        double r25715 = 1;
        double r25716 = r25715 / r25712;
        double r25717 = pow(r25714, r25716);
        double r25718 = k;
        double r25719 = r25718 / r25712;
        double r25720 = pow(r25714, r25719);
        double r25721 = r25717 / r25720;
        double r25722 = sqrt(r25718);
        double r25723 = r25721 / r25722;
        return r25723;
}

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 r25724, r25725, r25726, r25727, r25728, r25729, r25730, r25731, r25732, r25733, r25734, r25735, r25736;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init_set_str(r25724, "1", 10, MPFR_RNDN);
        mpfr_init(r25725);
        mpfr_init(r25726);
        mpfr_init(r25727);
        mpfr_init_set_str(r25728, "2", 10, MPFR_RNDN);
        mpfr_init(r25729);
        mpfr_init(r25730);
        mpfr_init(r25731);
        mpfr_init(r25732);
        mpfr_init(r25733);
        mpfr_init(r25734);
        mpfr_init(r25735);
        mpfr_init(r25736);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r25725, k, MPFR_RNDN);
        mpfr_sqrt(r25726, r25725, MPFR_RNDN);
        mpfr_div(r25727, r25724, r25726, MPFR_RNDN);
        ;
        mpfr_const_pi(r25729, MPFR_RNDN);
        mpfr_mul(r25730, r25728, r25729, MPFR_RNDN);
        mpfr_set_d(r25731, n, MPFR_RNDN);
        mpfr_mul(r25732, r25730, r25731, MPFR_RNDN);
        mpfr_sub(r25733, r25724, r25725, MPFR_RNDN);
        mpfr_div(r25734, r25733, r25728, MPFR_RNDN);
        mpfr_pow(r25735, r25732, r25734, MPFR_RNDN);
        mpfr_mul(r25736, r25727, r25735, MPFR_RNDN);
        return mpfr_get_d(r25736, MPFR_RNDN);
}

static mpfr_t r25737, r25738, r25739, r25740, r25741, r25742, r25743, r25744, r25745, r25746, r25747, r25748, r25749, r25750;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r25737);
        mpfr_init(r25738);
        mpfr_init_set_str(r25739, "2", 10, MPFR_RNDN);
        mpfr_init(r25740);
        mpfr_init(r25741);
        mpfr_init_set_str(r25742, "1", 10, MPFR_RNDN);
        mpfr_init(r25743);
        mpfr_init(r25744);
        mpfr_init(r25745);
        mpfr_init(r25746);
        mpfr_init(r25747);
        mpfr_init(r25748);
        mpfr_init(r25749);
        mpfr_init(r25750);
}

double f_fm(double k, double n) {
        mpfr_set_d(r25737, n, MPFR_RNDN);
        mpfr_const_pi(r25738, MPFR_RNDN);
        ;
        mpfr_mul(r25740, r25738, r25739, MPFR_RNDN);
        mpfr_mul(r25741, r25737, r25740, MPFR_RNDN);
        ;
        mpfr_div(r25743, r25742, r25739, MPFR_RNDN);
        mpfr_pow(r25744, r25741, r25743, MPFR_RNDN);
        mpfr_set_d(r25745, k, MPFR_RNDN);
        mpfr_div(r25746, r25745, r25739, MPFR_RNDN);
        mpfr_pow(r25747, r25741, r25746, MPFR_RNDN);
        mpfr_div(r25748, r25744, r25747, MPFR_RNDN);
        mpfr_sqrt(r25749, r25745, MPFR_RNDN);
        mpfr_div(r25750, r25748, r25749, MPFR_RNDN);
        return mpfr_get_d(r25750, MPFR_RNDN);
}

static mpfr_t r25751, r25752, r25753, r25754, r25755, r25756, r25757, r25758, r25759, r25760, r25761, r25762, r25763, r25764;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r25751);
        mpfr_init(r25752);
        mpfr_init_set_str(r25753, "2", 10, MPFR_RNDN);
        mpfr_init(r25754);
        mpfr_init(r25755);
        mpfr_init_set_str(r25756, "1", 10, MPFR_RNDN);
        mpfr_init(r25757);
        mpfr_init(r25758);
        mpfr_init(r25759);
        mpfr_init(r25760);
        mpfr_init(r25761);
        mpfr_init(r25762);
        mpfr_init(r25763);
        mpfr_init(r25764);
}

double f_dm(double k, double n) {
        mpfr_set_d(r25751, n, MPFR_RNDN);
        mpfr_const_pi(r25752, MPFR_RNDN);
        ;
        mpfr_mul(r25754, r25752, r25753, MPFR_RNDN);
        mpfr_mul(r25755, r25751, r25754, MPFR_RNDN);
        ;
        mpfr_div(r25757, r25756, r25753, MPFR_RNDN);
        mpfr_pow(r25758, r25755, r25757, MPFR_RNDN);
        mpfr_set_d(r25759, k, MPFR_RNDN);
        mpfr_div(r25760, r25759, r25753, MPFR_RNDN);
        mpfr_pow(r25761, r25755, r25760, MPFR_RNDN);
        mpfr_div(r25762, r25758, r25761, MPFR_RNDN);
        mpfr_sqrt(r25763, r25759, MPFR_RNDN);
        mpfr_div(r25764, r25762, r25763, MPFR_RNDN);
        return mpfr_get_d(r25764, MPFR_RNDN);
}