#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 r25616 = 1;
        float r25617 = k;
        float r25618 = sqrt(r25617);
        float r25619 = r25616 / r25618;
        float r25620 = 2;
        float r25621 = atan2(1.0, 0.0);
        float r25622 = r25620 * r25621;
        float r25623 = n;
        float r25624 = r25622 * r25623;
        float r25625 = r25616 - r25617;
        float r25626 = r25625 / r25620;
        float r25627 = pow(r25624, r25626);
        float r25628 = r25619 * r25627;
        return r25628;
}

double f_id(double k, double n) {
        double r25629 = 1;
        double r25630 = k;
        double r25631 = sqrt(r25630);
        double r25632 = r25629 / r25631;
        double r25633 = 2;
        double r25634 = atan2(1.0, 0.0);
        double r25635 = r25633 * r25634;
        double r25636 = n;
        double r25637 = r25635 * r25636;
        double r25638 = r25629 - r25630;
        double r25639 = r25638 / r25633;
        double r25640 = pow(r25637, r25639);
        double r25641 = r25632 * r25640;
        return r25641;
}


double f_of(float k, float n) {
        float r25642 = n;
        float r25643 = atan2(1.0, 0.0);
        float r25644 = 2;
        float r25645 = r25643 * r25644;
        float r25646 = r25642 * r25645;
        float r25647 = 1;
        float r25648 = r25647 / r25644;
        float r25649 = pow(r25646, r25648);
        float r25650 = k;
        float r25651 = sqrt(r25650);
        float r25652 = r25650 / r25644;
        float r25653 = pow(r25646, r25652);
        float r25654 = r25651 * r25653;
        float r25655 = r25649 / r25654;
        return r25655;
}

double f_od(double k, double n) {
        double r25656 = n;
        double r25657 = atan2(1.0, 0.0);
        double r25658 = 2;
        double r25659 = r25657 * r25658;
        double r25660 = r25656 * r25659;
        double r25661 = 1;
        double r25662 = r25661 / r25658;
        double r25663 = pow(r25660, r25662);
        double r25664 = k;
        double r25665 = sqrt(r25664);
        double r25666 = r25664 / r25658;
        double r25667 = pow(r25660, r25666);
        double r25668 = r25665 * r25667;
        double r25669 = r25663 / r25668;
        return r25669;
}

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 r25670, r25671, r25672, r25673, r25674, r25675, r25676, r25677, r25678, r25679, r25680, r25681, r25682;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init_set_str(r25670, "1", 10, MPFR_RNDN);
        mpfr_init(r25671);
        mpfr_init(r25672);
        mpfr_init(r25673);
        mpfr_init_set_str(r25674, "2", 10, MPFR_RNDN);
        mpfr_init(r25675);
        mpfr_init(r25676);
        mpfr_init(r25677);
        mpfr_init(r25678);
        mpfr_init(r25679);
        mpfr_init(r25680);
        mpfr_init(r25681);
        mpfr_init(r25682);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r25671, k, MPFR_RNDN);
        mpfr_sqrt(r25672, r25671, MPFR_RNDN);
        mpfr_div(r25673, r25670, r25672, MPFR_RNDN);
        ;
        mpfr_const_pi(r25675, MPFR_RNDN);
        mpfr_mul(r25676, r25674, r25675, MPFR_RNDN);
        mpfr_set_d(r25677, n, MPFR_RNDN);
        mpfr_mul(r25678, r25676, r25677, MPFR_RNDN);
        mpfr_sub(r25679, r25670, r25671, MPFR_RNDN);
        mpfr_div(r25680, r25679, r25674, MPFR_RNDN);
        mpfr_pow(r25681, r25678, r25680, MPFR_RNDN);
        mpfr_mul(r25682, r25673, r25681, MPFR_RNDN);
        return mpfr_get_d(r25682, MPFR_RNDN);
}

static mpfr_t r25683, r25684, r25685, r25686, r25687, r25688, r25689, r25690, r25691, r25692, r25693, r25694, r25695, r25696;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r25683);
        mpfr_init(r25684);
        mpfr_init_set_str(r25685, "2", 10, MPFR_RNDN);
        mpfr_init(r25686);
        mpfr_init(r25687);
        mpfr_init_set_str(r25688, "1", 10, MPFR_RNDN);
        mpfr_init(r25689);
        mpfr_init(r25690);
        mpfr_init(r25691);
        mpfr_init(r25692);
        mpfr_init(r25693);
        mpfr_init(r25694);
        mpfr_init(r25695);
        mpfr_init(r25696);
}

double f_fm(double k, double n) {
        mpfr_set_d(r25683, n, MPFR_RNDN);
        mpfr_const_pi(r25684, MPFR_RNDN);
        ;
        mpfr_mul(r25686, r25684, r25685, MPFR_RNDN);
        mpfr_mul(r25687, r25683, r25686, MPFR_RNDN);
        ;
        mpfr_div(r25689, r25688, r25685, MPFR_RNDN);
        mpfr_pow(r25690, r25687, r25689, MPFR_RNDN);
        mpfr_set_d(r25691, k, MPFR_RNDN);
        mpfr_sqrt(r25692, r25691, MPFR_RNDN);
        mpfr_div(r25693, r25691, r25685, MPFR_RNDN);
        mpfr_pow(r25694, r25687, r25693, MPFR_RNDN);
        mpfr_mul(r25695, r25692, r25694, MPFR_RNDN);
        mpfr_div(r25696, r25690, r25695, MPFR_RNDN);
        return mpfr_get_d(r25696, MPFR_RNDN);
}

static mpfr_t r25697, r25698, r25699, r25700, r25701, r25702, r25703, r25704, r25705, r25706, r25707, r25708, r25709, r25710;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r25697);
        mpfr_init(r25698);
        mpfr_init_set_str(r25699, "2", 10, MPFR_RNDN);
        mpfr_init(r25700);
        mpfr_init(r25701);
        mpfr_init_set_str(r25702, "1", 10, MPFR_RNDN);
        mpfr_init(r25703);
        mpfr_init(r25704);
        mpfr_init(r25705);
        mpfr_init(r25706);
        mpfr_init(r25707);
        mpfr_init(r25708);
        mpfr_init(r25709);
        mpfr_init(r25710);
}

double f_dm(double k, double n) {
        mpfr_set_d(r25697, n, MPFR_RNDN);
        mpfr_const_pi(r25698, MPFR_RNDN);
        ;
        mpfr_mul(r25700, r25698, r25699, MPFR_RNDN);
        mpfr_mul(r25701, r25697, r25700, MPFR_RNDN);
        ;
        mpfr_div(r25703, r25702, r25699, MPFR_RNDN);
        mpfr_pow(r25704, r25701, r25703, MPFR_RNDN);
        mpfr_set_d(r25705, k, MPFR_RNDN);
        mpfr_sqrt(r25706, r25705, MPFR_RNDN);
        mpfr_div(r25707, r25705, r25699, MPFR_RNDN);
        mpfr_pow(r25708, r25701, r25707, MPFR_RNDN);
        mpfr_mul(r25709, r25706, r25708, MPFR_RNDN);
        mpfr_div(r25710, r25704, r25709, MPFR_RNDN);
        return mpfr_get_d(r25710, MPFR_RNDN);
}