#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 r25595 = 1;
        float r25596 = k;
        float r25597 = sqrt(r25596);
        float r25598 = r25595 / r25597;
        float r25599 = 2;
        float r25600 = atan2(1.0, 0.0);
        float r25601 = r25599 * r25600;
        float r25602 = n;
        float r25603 = r25601 * r25602;
        float r25604 = r25595 - r25596;
        float r25605 = r25604 / r25599;
        float r25606 = pow(r25603, r25605);
        float r25607 = r25598 * r25606;
        return r25607;
}

double f_id(double k, double n) {
        double r25608 = 1;
        double r25609 = k;
        double r25610 = sqrt(r25609);
        double r25611 = r25608 / r25610;
        double r25612 = 2;
        double r25613 = atan2(1.0, 0.0);
        double r25614 = r25612 * r25613;
        double r25615 = n;
        double r25616 = r25614 * r25615;
        double r25617 = r25608 - r25609;
        double r25618 = r25617 / r25612;
        double r25619 = pow(r25616, r25618);
        double r25620 = r25611 * r25619;
        return r25620;
}


double f_of(float k, float n) {
        float r25621 = n;
        float r25622 = atan2(1.0, 0.0);
        float r25623 = 2;
        float r25624 = r25622 * r25623;
        float r25625 = r25621 * r25624;
        float r25626 = 1;
        float r25627 = r25626 / r25623;
        float r25628 = pow(r25625, r25627);
        float r25629 = k;
        float r25630 = r25629 / r25623;
        float r25631 = pow(r25625, r25630);
        float r25632 = r25628 / r25631;
        float r25633 = sqrt(r25629);
        float r25634 = r25632 / r25633;
        return r25634;
}

double f_od(double k, double n) {
        double r25635 = n;
        double r25636 = atan2(1.0, 0.0);
        double r25637 = 2;
        double r25638 = r25636 * r25637;
        double r25639 = r25635 * r25638;
        double r25640 = 1;
        double r25641 = r25640 / r25637;
        double r25642 = pow(r25639, r25641);
        double r25643 = k;
        double r25644 = r25643 / r25637;
        double r25645 = pow(r25639, r25644);
        double r25646 = r25642 / r25645;
        double r25647 = sqrt(r25643);
        double r25648 = r25646 / r25647;
        return r25648;
}

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 r25649, r25650, r25651, r25652, r25653, r25654, r25655, r25656, r25657, r25658, r25659, r25660, r25661;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init_set_str(r25649, "1", 10, MPFR_RNDN);
        mpfr_init(r25650);
        mpfr_init(r25651);
        mpfr_init(r25652);
        mpfr_init_set_str(r25653, "2", 10, MPFR_RNDN);
        mpfr_init(r25654);
        mpfr_init(r25655);
        mpfr_init(r25656);
        mpfr_init(r25657);
        mpfr_init(r25658);
        mpfr_init(r25659);
        mpfr_init(r25660);
        mpfr_init(r25661);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r25650, k, MPFR_RNDN);
        mpfr_sqrt(r25651, r25650, MPFR_RNDN);
        mpfr_div(r25652, r25649, r25651, MPFR_RNDN);
        ;
        mpfr_const_pi(r25654, MPFR_RNDN);
        mpfr_mul(r25655, r25653, r25654, MPFR_RNDN);
        mpfr_set_d(r25656, n, MPFR_RNDN);
        mpfr_mul(r25657, r25655, r25656, MPFR_RNDN);
        mpfr_sub(r25658, r25649, r25650, MPFR_RNDN);
        mpfr_div(r25659, r25658, r25653, MPFR_RNDN);
        mpfr_pow(r25660, r25657, r25659, MPFR_RNDN);
        mpfr_mul(r25661, r25652, r25660, MPFR_RNDN);
        return mpfr_get_d(r25661, MPFR_RNDN);
}

static mpfr_t r25662, r25663, r25664, r25665, r25666, r25667, r25668, r25669, r25670, r25671, r25672, r25673, r25674, r25675;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r25662);
        mpfr_init(r25663);
        mpfr_init_set_str(r25664, "2", 10, MPFR_RNDN);
        mpfr_init(r25665);
        mpfr_init(r25666);
        mpfr_init_set_str(r25667, "1", 10, MPFR_RNDN);
        mpfr_init(r25668);
        mpfr_init(r25669);
        mpfr_init(r25670);
        mpfr_init(r25671);
        mpfr_init(r25672);
        mpfr_init(r25673);
        mpfr_init(r25674);
        mpfr_init(r25675);
}

double f_fm(double k, double n) {
        mpfr_set_d(r25662, n, MPFR_RNDN);
        mpfr_const_pi(r25663, MPFR_RNDN);
        ;
        mpfr_mul(r25665, r25663, r25664, MPFR_RNDN);
        mpfr_mul(r25666, r25662, r25665, MPFR_RNDN);
        ;
        mpfr_div(r25668, r25667, r25664, MPFR_RNDN);
        mpfr_pow(r25669, r25666, r25668, MPFR_RNDN);
        mpfr_set_d(r25670, k, MPFR_RNDN);
        mpfr_div(r25671, r25670, r25664, MPFR_RNDN);
        mpfr_pow(r25672, r25666, r25671, MPFR_RNDN);
        mpfr_div(r25673, r25669, r25672, MPFR_RNDN);
        mpfr_sqrt(r25674, r25670, MPFR_RNDN);
        mpfr_div(r25675, r25673, r25674, MPFR_RNDN);
        return mpfr_get_d(r25675, MPFR_RNDN);
}

static mpfr_t r25676, r25677, r25678, r25679, r25680, r25681, r25682, r25683, r25684, r25685, r25686, r25687, r25688, r25689;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r25676);
        mpfr_init(r25677);
        mpfr_init_set_str(r25678, "2", 10, MPFR_RNDN);
        mpfr_init(r25679);
        mpfr_init(r25680);
        mpfr_init_set_str(r25681, "1", 10, MPFR_RNDN);
        mpfr_init(r25682);
        mpfr_init(r25683);
        mpfr_init(r25684);
        mpfr_init(r25685);
        mpfr_init(r25686);
        mpfr_init(r25687);
        mpfr_init(r25688);
        mpfr_init(r25689);
}

double f_dm(double k, double n) {
        mpfr_set_d(r25676, n, MPFR_RNDN);
        mpfr_const_pi(r25677, MPFR_RNDN);
        ;
        mpfr_mul(r25679, r25677, r25678, MPFR_RNDN);
        mpfr_mul(r25680, r25676, r25679, MPFR_RNDN);
        ;
        mpfr_div(r25682, r25681, r25678, MPFR_RNDN);
        mpfr_pow(r25683, r25680, r25682, MPFR_RNDN);
        mpfr_set_d(r25684, k, MPFR_RNDN);
        mpfr_div(r25685, r25684, r25678, MPFR_RNDN);
        mpfr_pow(r25686, r25680, r25685, MPFR_RNDN);
        mpfr_div(r25687, r25683, r25686, MPFR_RNDN);
        mpfr_sqrt(r25688, r25684, MPFR_RNDN);
        mpfr_div(r25689, r25687, r25688, MPFR_RNDN);
        return mpfr_get_d(r25689, MPFR_RNDN);
}