#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 r23555 = 1;
        float r23556 = k;
        float r23557 = sqrt(r23556);
        float r23558 = r23555 / r23557;
        float r23559 = 2;
        float r23560 = atan2(1.0, 0.0);
        float r23561 = r23559 * r23560;
        float r23562 = n;
        float r23563 = r23561 * r23562;
        float r23564 = r23555 - r23556;
        float r23565 = r23564 / r23559;
        float r23566 = pow(r23563, r23565);
        float r23567 = r23558 * r23566;
        return r23567;
}

double f_id(double k, double n) {
        double r23568 = 1;
        double r23569 = k;
        double r23570 = sqrt(r23569);
        double r23571 = r23568 / r23570;
        double r23572 = 2;
        double r23573 = atan2(1.0, 0.0);
        double r23574 = r23572 * r23573;
        double r23575 = n;
        double r23576 = r23574 * r23575;
        double r23577 = r23568 - r23569;
        double r23578 = r23577 / r23572;
        double r23579 = pow(r23576, r23578);
        double r23580 = r23571 * r23579;
        return r23580;
}


double f_of(float k, float n) {
        float r23581 = n;
        float r23582 = atan2(1.0, 0.0);
        float r23583 = 2;
        float r23584 = r23582 * r23583;
        float r23585 = r23581 * r23584;
        float r23586 = 1;
        float r23587 = r23586 / r23583;
        float r23588 = pow(r23585, r23587);
        float r23589 = k;
        float r23590 = r23589 / r23583;
        float r23591 = pow(r23585, r23590);
        float r23592 = r23588 / r23591;
        float r23593 = sqrt(r23589);
        float r23594 = r23592 / r23593;
        return r23594;
}

double f_od(double k, double n) {
        double r23595 = n;
        double r23596 = atan2(1.0, 0.0);
        double r23597 = 2;
        double r23598 = r23596 * r23597;
        double r23599 = r23595 * r23598;
        double r23600 = 1;
        double r23601 = r23600 / r23597;
        double r23602 = pow(r23599, r23601);
        double r23603 = k;
        double r23604 = r23603 / r23597;
        double r23605 = pow(r23599, r23604);
        double r23606 = r23602 / r23605;
        double r23607 = sqrt(r23603);
        double r23608 = r23606 / r23607;
        return r23608;
}

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 r23609, r23610, r23611, r23612, r23613, r23614, r23615, r23616, r23617, r23618, r23619, r23620, r23621;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init_set_str(r23609, "1", 10, MPFR_RNDN);
        mpfr_init(r23610);
        mpfr_init(r23611);
        mpfr_init(r23612);
        mpfr_init_set_str(r23613, "2", 10, MPFR_RNDN);
        mpfr_init(r23614);
        mpfr_init(r23615);
        mpfr_init(r23616);
        mpfr_init(r23617);
        mpfr_init(r23618);
        mpfr_init(r23619);
        mpfr_init(r23620);
        mpfr_init(r23621);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r23610, k, MPFR_RNDN);
        mpfr_sqrt(r23611, r23610, MPFR_RNDN);
        mpfr_div(r23612, r23609, r23611, MPFR_RNDN);
        ;
        mpfr_const_pi(r23614, MPFR_RNDN);
        mpfr_mul(r23615, r23613, r23614, MPFR_RNDN);
        mpfr_set_d(r23616, n, MPFR_RNDN);
        mpfr_mul(r23617, r23615, r23616, MPFR_RNDN);
        mpfr_sub(r23618, r23609, r23610, MPFR_RNDN);
        mpfr_div(r23619, r23618, r23613, MPFR_RNDN);
        mpfr_pow(r23620, r23617, r23619, MPFR_RNDN);
        mpfr_mul(r23621, r23612, r23620, MPFR_RNDN);
        return mpfr_get_d(r23621, MPFR_RNDN);
}

static mpfr_t r23622, r23623, r23624, r23625, r23626, r23627, r23628, r23629, r23630, r23631, r23632, r23633, r23634, r23635;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23622);
        mpfr_init(r23623);
        mpfr_init_set_str(r23624, "2", 10, MPFR_RNDN);
        mpfr_init(r23625);
        mpfr_init(r23626);
        mpfr_init_set_str(r23627, "1", 10, MPFR_RNDN);
        mpfr_init(r23628);
        mpfr_init(r23629);
        mpfr_init(r23630);
        mpfr_init(r23631);
        mpfr_init(r23632);
        mpfr_init(r23633);
        mpfr_init(r23634);
        mpfr_init(r23635);
}

double f_fm(double k, double n) {
        mpfr_set_d(r23622, n, MPFR_RNDN);
        mpfr_const_pi(r23623, MPFR_RNDN);
        ;
        mpfr_mul(r23625, r23623, r23624, MPFR_RNDN);
        mpfr_mul(r23626, r23622, r23625, MPFR_RNDN);
        ;
        mpfr_div(r23628, r23627, r23624, MPFR_RNDN);
        mpfr_pow(r23629, r23626, r23628, MPFR_RNDN);
        mpfr_set_d(r23630, k, MPFR_RNDN);
        mpfr_div(r23631, r23630, r23624, MPFR_RNDN);
        mpfr_pow(r23632, r23626, r23631, MPFR_RNDN);
        mpfr_div(r23633, r23629, r23632, MPFR_RNDN);
        mpfr_sqrt(r23634, r23630, MPFR_RNDN);
        mpfr_div(r23635, r23633, r23634, MPFR_RNDN);
        return mpfr_get_d(r23635, MPFR_RNDN);
}

static mpfr_t r23636, r23637, r23638, r23639, r23640, r23641, r23642, r23643, r23644, r23645, r23646, r23647, r23648, r23649;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23636);
        mpfr_init(r23637);
        mpfr_init_set_str(r23638, "2", 10, MPFR_RNDN);
        mpfr_init(r23639);
        mpfr_init(r23640);
        mpfr_init_set_str(r23641, "1", 10, MPFR_RNDN);
        mpfr_init(r23642);
        mpfr_init(r23643);
        mpfr_init(r23644);
        mpfr_init(r23645);
        mpfr_init(r23646);
        mpfr_init(r23647);
        mpfr_init(r23648);
        mpfr_init(r23649);
}

double f_dm(double k, double n) {
        mpfr_set_d(r23636, n, MPFR_RNDN);
        mpfr_const_pi(r23637, MPFR_RNDN);
        ;
        mpfr_mul(r23639, r23637, r23638, MPFR_RNDN);
        mpfr_mul(r23640, r23636, r23639, MPFR_RNDN);
        ;
        mpfr_div(r23642, r23641, r23638, MPFR_RNDN);
        mpfr_pow(r23643, r23640, r23642, MPFR_RNDN);
        mpfr_set_d(r23644, k, MPFR_RNDN);
        mpfr_div(r23645, r23644, r23638, MPFR_RNDN);
        mpfr_pow(r23646, r23640, r23645, MPFR_RNDN);
        mpfr_div(r23647, r23643, r23646, MPFR_RNDN);
        mpfr_sqrt(r23648, r23644, MPFR_RNDN);
        mpfr_div(r23649, r23647, r23648, MPFR_RNDN);
        return mpfr_get_d(r23649, MPFR_RNDN);
}