#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 r25654 = 1;
        float r25655 = k;
        float r25656 = sqrt(r25655);
        float r25657 = r25654 / r25656;
        float r25658 = 2;
        float r25659 = atan2(1.0, 0.0);
        float r25660 = r25658 * r25659;
        float r25661 = n;
        float r25662 = r25660 * r25661;
        float r25663 = r25654 - r25655;
        float r25664 = r25663 / r25658;
        float r25665 = pow(r25662, r25664);
        float r25666 = r25657 * r25665;
        return r25666;
}

double f_id(double k, double n) {
        double r25667 = 1;
        double r25668 = k;
        double r25669 = sqrt(r25668);
        double r25670 = r25667 / r25669;
        double r25671 = 2;
        double r25672 = atan2(1.0, 0.0);
        double r25673 = r25671 * r25672;
        double r25674 = n;
        double r25675 = r25673 * r25674;
        double r25676 = r25667 - r25668;
        double r25677 = r25676 / r25671;
        double r25678 = pow(r25675, r25677);
        double r25679 = r25670 * r25678;
        return r25679;
}


double f_of(float k, float n) {
        float r25680 = n;
        float r25681 = atan2(1.0, 0.0);
        float r25682 = 2;
        float r25683 = r25681 * r25682;
        float r25684 = r25680 * r25683;
        float r25685 = 1;
        float r25686 = r25685 / r25682;
        float r25687 = pow(r25684, r25686);
        float r25688 = k;
        float r25689 = r25688 / r25682;
        float r25690 = pow(r25684, r25689);
        float r25691 = r25687 / r25690;
        float r25692 = sqrt(r25688);
        float r25693 = r25691 / r25692;
        return r25693;
}

double f_od(double k, double n) {
        double r25694 = n;
        double r25695 = atan2(1.0, 0.0);
        double r25696 = 2;
        double r25697 = r25695 * r25696;
        double r25698 = r25694 * r25697;
        double r25699 = 1;
        double r25700 = r25699 / r25696;
        double r25701 = pow(r25698, r25700);
        double r25702 = k;
        double r25703 = r25702 / r25696;
        double r25704 = pow(r25698, r25703);
        double r25705 = r25701 / r25704;
        double r25706 = sqrt(r25702);
        double r25707 = r25705 / r25706;
        return r25707;
}

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 r25708, r25709, r25710, r25711, r25712, r25713, r25714, r25715, r25716, r25717, r25718, r25719, r25720;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init_set_str(r25708, "1", 10, MPFR_RNDN);
        mpfr_init(r25709);
        mpfr_init(r25710);
        mpfr_init(r25711);
        mpfr_init_set_str(r25712, "2", 10, MPFR_RNDN);
        mpfr_init(r25713);
        mpfr_init(r25714);
        mpfr_init(r25715);
        mpfr_init(r25716);
        mpfr_init(r25717);
        mpfr_init(r25718);
        mpfr_init(r25719);
        mpfr_init(r25720);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r25709, k, MPFR_RNDN);
        mpfr_sqrt(r25710, r25709, MPFR_RNDN);
        mpfr_div(r25711, r25708, r25710, MPFR_RNDN);
        ;
        mpfr_const_pi(r25713, MPFR_RNDN);
        mpfr_mul(r25714, r25712, r25713, MPFR_RNDN);
        mpfr_set_d(r25715, n, MPFR_RNDN);
        mpfr_mul(r25716, r25714, r25715, MPFR_RNDN);
        mpfr_sub(r25717, r25708, r25709, MPFR_RNDN);
        mpfr_div(r25718, r25717, r25712, MPFR_RNDN);
        mpfr_pow(r25719, r25716, r25718, MPFR_RNDN);
        mpfr_mul(r25720, r25711, r25719, MPFR_RNDN);
        return mpfr_get_d(r25720, MPFR_RNDN);
}

static mpfr_t r25721, r25722, r25723, r25724, r25725, r25726, r25727, r25728, r25729, r25730, r25731, r25732, r25733, r25734;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r25721);
        mpfr_init(r25722);
        mpfr_init_set_str(r25723, "2", 10, MPFR_RNDN);
        mpfr_init(r25724);
        mpfr_init(r25725);
        mpfr_init_set_str(r25726, "1", 10, MPFR_RNDN);
        mpfr_init(r25727);
        mpfr_init(r25728);
        mpfr_init(r25729);
        mpfr_init(r25730);
        mpfr_init(r25731);
        mpfr_init(r25732);
        mpfr_init(r25733);
        mpfr_init(r25734);
}

double f_fm(double k, double n) {
        mpfr_set_d(r25721, n, MPFR_RNDN);
        mpfr_const_pi(r25722, MPFR_RNDN);
        ;
        mpfr_mul(r25724, r25722, r25723, MPFR_RNDN);
        mpfr_mul(r25725, r25721, r25724, MPFR_RNDN);
        ;
        mpfr_div(r25727, r25726, r25723, MPFR_RNDN);
        mpfr_pow(r25728, r25725, r25727, MPFR_RNDN);
        mpfr_set_d(r25729, k, MPFR_RNDN);
        mpfr_div(r25730, r25729, r25723, MPFR_RNDN);
        mpfr_pow(r25731, r25725, r25730, MPFR_RNDN);
        mpfr_div(r25732, r25728, r25731, MPFR_RNDN);
        mpfr_sqrt(r25733, r25729, MPFR_RNDN);
        mpfr_div(r25734, r25732, r25733, MPFR_RNDN);
        return mpfr_get_d(r25734, MPFR_RNDN);
}

static mpfr_t r25735, r25736, r25737, r25738, r25739, r25740, r25741, r25742, r25743, r25744, r25745, r25746, r25747, r25748;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r25735);
        mpfr_init(r25736);
        mpfr_init_set_str(r25737, "2", 10, MPFR_RNDN);
        mpfr_init(r25738);
        mpfr_init(r25739);
        mpfr_init_set_str(r25740, "1", 10, MPFR_RNDN);
        mpfr_init(r25741);
        mpfr_init(r25742);
        mpfr_init(r25743);
        mpfr_init(r25744);
        mpfr_init(r25745);
        mpfr_init(r25746);
        mpfr_init(r25747);
        mpfr_init(r25748);
}

double f_dm(double k, double n) {
        mpfr_set_d(r25735, n, MPFR_RNDN);
        mpfr_const_pi(r25736, MPFR_RNDN);
        ;
        mpfr_mul(r25738, r25736, r25737, MPFR_RNDN);
        mpfr_mul(r25739, r25735, r25738, MPFR_RNDN);
        ;
        mpfr_div(r25741, r25740, r25737, MPFR_RNDN);
        mpfr_pow(r25742, r25739, r25741, MPFR_RNDN);
        mpfr_set_d(r25743, k, MPFR_RNDN);
        mpfr_div(r25744, r25743, r25737, MPFR_RNDN);
        mpfr_pow(r25745, r25739, r25744, MPFR_RNDN);
        mpfr_div(r25746, r25742, r25745, MPFR_RNDN);
        mpfr_sqrt(r25747, r25743, MPFR_RNDN);
        mpfr_div(r25748, r25746, r25747, MPFR_RNDN);
        return mpfr_get_d(r25748, MPFR_RNDN);
}