#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 r25554 = 1;
        float r25555 = k;
        float r25556 = sqrt(r25555);
        float r25557 = r25554 / r25556;
        float r25558 = 2;
        float r25559 = atan2(1.0, 0.0);
        float r25560 = r25558 * r25559;
        float r25561 = n;
        float r25562 = r25560 * r25561;
        float r25563 = r25554 - r25555;
        float r25564 = r25563 / r25558;
        float r25565 = pow(r25562, r25564);
        float r25566 = r25557 * r25565;
        return r25566;
}

double f_id(double k, double n) {
        double r25567 = 1;
        double r25568 = k;
        double r25569 = sqrt(r25568);
        double r25570 = r25567 / r25569;
        double r25571 = 2;
        double r25572 = atan2(1.0, 0.0);
        double r25573 = r25571 * r25572;
        double r25574 = n;
        double r25575 = r25573 * r25574;
        double r25576 = r25567 - r25568;
        double r25577 = r25576 / r25571;
        double r25578 = pow(r25575, r25577);
        double r25579 = r25570 * r25578;
        return r25579;
}


double f_of(float k, float n) {
        float r25580 = n;
        float r25581 = atan2(1.0, 0.0);
        float r25582 = 2;
        float r25583 = r25581 * r25582;
        float r25584 = r25580 * r25583;
        float r25585 = 1;
        float r25586 = r25585 / r25582;
        float r25587 = pow(r25584, r25586);
        float r25588 = k;
        float r25589 = r25588 / r25582;
        float r25590 = pow(r25584, r25589);
        float r25591 = r25587 / r25590;
        float r25592 = sqrt(r25588);
        float r25593 = r25591 / r25592;
        return r25593;
}

double f_od(double k, double n) {
        double r25594 = n;
        double r25595 = atan2(1.0, 0.0);
        double r25596 = 2;
        double r25597 = r25595 * r25596;
        double r25598 = r25594 * r25597;
        double r25599 = 1;
        double r25600 = r25599 / r25596;
        double r25601 = pow(r25598, r25600);
        double r25602 = k;
        double r25603 = r25602 / r25596;
        double r25604 = pow(r25598, r25603);
        double r25605 = r25601 / r25604;
        double r25606 = sqrt(r25602);
        double r25607 = r25605 / r25606;
        return r25607;
}

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 r25608, r25609, r25610, r25611, r25612, r25613, r25614, r25615, r25616, r25617, r25618, r25619, r25620;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init_set_str(r25608, "1", 10, MPFR_RNDN);
        mpfr_init(r25609);
        mpfr_init(r25610);
        mpfr_init(r25611);
        mpfr_init_set_str(r25612, "2", 10, MPFR_RNDN);
        mpfr_init(r25613);
        mpfr_init(r25614);
        mpfr_init(r25615);
        mpfr_init(r25616);
        mpfr_init(r25617);
        mpfr_init(r25618);
        mpfr_init(r25619);
        mpfr_init(r25620);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r25609, k, MPFR_RNDN);
        mpfr_sqrt(r25610, r25609, MPFR_RNDN);
        mpfr_div(r25611, r25608, r25610, MPFR_RNDN);
        ;
        mpfr_const_pi(r25613, MPFR_RNDN);
        mpfr_mul(r25614, r25612, r25613, MPFR_RNDN);
        mpfr_set_d(r25615, n, MPFR_RNDN);
        mpfr_mul(r25616, r25614, r25615, MPFR_RNDN);
        mpfr_sub(r25617, r25608, r25609, MPFR_RNDN);
        mpfr_div(r25618, r25617, r25612, MPFR_RNDN);
        mpfr_pow(r25619, r25616, r25618, MPFR_RNDN);
        mpfr_mul(r25620, r25611, r25619, MPFR_RNDN);
        return mpfr_get_d(r25620, MPFR_RNDN);
}

static mpfr_t r25621, r25622, r25623, r25624, r25625, r25626, r25627, r25628, r25629, r25630, r25631, r25632, r25633, r25634;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r25621);
        mpfr_init(r25622);
        mpfr_init_set_str(r25623, "2", 10, MPFR_RNDN);
        mpfr_init(r25624);
        mpfr_init(r25625);
        mpfr_init_set_str(r25626, "1", 10, MPFR_RNDN);
        mpfr_init(r25627);
        mpfr_init(r25628);
        mpfr_init(r25629);
        mpfr_init(r25630);
        mpfr_init(r25631);
        mpfr_init(r25632);
        mpfr_init(r25633);
        mpfr_init(r25634);
}

double f_fm(double k, double n) {
        mpfr_set_d(r25621, n, MPFR_RNDN);
        mpfr_const_pi(r25622, MPFR_RNDN);
        ;
        mpfr_mul(r25624, r25622, r25623, MPFR_RNDN);
        mpfr_mul(r25625, r25621, r25624, MPFR_RNDN);
        ;
        mpfr_div(r25627, r25626, r25623, MPFR_RNDN);
        mpfr_pow(r25628, r25625, r25627, MPFR_RNDN);
        mpfr_set_d(r25629, k, MPFR_RNDN);
        mpfr_div(r25630, r25629, r25623, MPFR_RNDN);
        mpfr_pow(r25631, r25625, r25630, MPFR_RNDN);
        mpfr_div(r25632, r25628, r25631, MPFR_RNDN);
        mpfr_sqrt(r25633, r25629, MPFR_RNDN);
        mpfr_div(r25634, r25632, r25633, MPFR_RNDN);
        return mpfr_get_d(r25634, MPFR_RNDN);
}

static mpfr_t r25635, r25636, r25637, r25638, r25639, r25640, r25641, r25642, r25643, r25644, r25645, r25646, r25647, r25648;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r25635);
        mpfr_init(r25636);
        mpfr_init_set_str(r25637, "2", 10, MPFR_RNDN);
        mpfr_init(r25638);
        mpfr_init(r25639);
        mpfr_init_set_str(r25640, "1", 10, MPFR_RNDN);
        mpfr_init(r25641);
        mpfr_init(r25642);
        mpfr_init(r25643);
        mpfr_init(r25644);
        mpfr_init(r25645);
        mpfr_init(r25646);
        mpfr_init(r25647);
        mpfr_init(r25648);
}

double f_dm(double k, double n) {
        mpfr_set_d(r25635, n, MPFR_RNDN);
        mpfr_const_pi(r25636, MPFR_RNDN);
        ;
        mpfr_mul(r25638, r25636, r25637, MPFR_RNDN);
        mpfr_mul(r25639, r25635, r25638, MPFR_RNDN);
        ;
        mpfr_div(r25641, r25640, r25637, MPFR_RNDN);
        mpfr_pow(r25642, r25639, r25641, MPFR_RNDN);
        mpfr_set_d(r25643, k, MPFR_RNDN);
        mpfr_div(r25644, r25643, r25637, MPFR_RNDN);
        mpfr_pow(r25645, r25639, r25644, MPFR_RNDN);
        mpfr_div(r25646, r25642, r25645, MPFR_RNDN);
        mpfr_sqrt(r25647, r25643, MPFR_RNDN);
        mpfr_div(r25648, r25646, r25647, MPFR_RNDN);
        return mpfr_get_d(r25648, MPFR_RNDN);
}