#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 r23504 = 1;
        float r23505 = k;
        float r23506 = sqrt(r23505);
        float r23507 = r23504 / r23506;
        float r23508 = 2;
        float r23509 = atan2(1.0, 0.0);
        float r23510 = r23508 * r23509;
        float r23511 = n;
        float r23512 = r23510 * r23511;
        float r23513 = r23504 - r23505;
        float r23514 = r23513 / r23508;
        float r23515 = pow(r23512, r23514);
        float r23516 = r23507 * r23515;
        return r23516;
}

double f_id(double k, double n) {
        double r23517 = 1;
        double r23518 = k;
        double r23519 = sqrt(r23518);
        double r23520 = r23517 / r23519;
        double r23521 = 2;
        double r23522 = atan2(1.0, 0.0);
        double r23523 = r23521 * r23522;
        double r23524 = n;
        double r23525 = r23523 * r23524;
        double r23526 = r23517 - r23518;
        double r23527 = r23526 / r23521;
        double r23528 = pow(r23525, r23527);
        double r23529 = r23520 * r23528;
        return r23529;
}


double f_of(float k, float n) {
        float r23530 = k;
        float r23531 = 1/2;
        float r23532 = -r23531;
        float r23533 = pow(r23530, r23532);
        float r23534 = 2;
        float r23535 = atan2(1.0, 0.0);
        float r23536 = r23534 * r23535;
        float r23537 = n;
        float r23538 = r23536 * r23537;
        float r23539 = 1;
        float r23540 = r23539 - r23530;
        float r23541 = r23540 / r23534;
        float r23542 = pow(r23538, r23541);
        float r23543 = r23533 * r23542;
        return r23543;
}

double f_od(double k, double n) {
        double r23544 = k;
        double r23545 = 1/2;
        double r23546 = -r23545;
        double r23547 = pow(r23544, r23546);
        double r23548 = 2;
        double r23549 = atan2(1.0, 0.0);
        double r23550 = r23548 * r23549;
        double r23551 = n;
        double r23552 = r23550 * r23551;
        double r23553 = 1;
        double r23554 = r23553 - r23544;
        double r23555 = r23554 / r23548;
        double r23556 = pow(r23552, r23555);
        double r23557 = r23547 * r23556;
        return r23557;
}

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 r23558, r23559, r23560, r23561, r23562, r23563, r23564, r23565, r23566, r23567, r23568, r23569, r23570;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init_set_str(r23558, "1", 10, MPFR_RNDN);
        mpfr_init(r23559);
        mpfr_init(r23560);
        mpfr_init(r23561);
        mpfr_init_set_str(r23562, "2", 10, MPFR_RNDN);
        mpfr_init(r23563);
        mpfr_init(r23564);
        mpfr_init(r23565);
        mpfr_init(r23566);
        mpfr_init(r23567);
        mpfr_init(r23568);
        mpfr_init(r23569);
        mpfr_init(r23570);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r23559, k, MPFR_RNDN);
        mpfr_sqrt(r23560, r23559, MPFR_RNDN);
        mpfr_div(r23561, r23558, r23560, MPFR_RNDN);
        ;
        mpfr_const_pi(r23563, MPFR_RNDN);
        mpfr_mul(r23564, r23562, r23563, MPFR_RNDN);
        mpfr_set_d(r23565, n, MPFR_RNDN);
        mpfr_mul(r23566, r23564, r23565, MPFR_RNDN);
        mpfr_sub(r23567, r23558, r23559, MPFR_RNDN);
        mpfr_div(r23568, r23567, r23562, MPFR_RNDN);
        mpfr_pow(r23569, r23566, r23568, MPFR_RNDN);
        mpfr_mul(r23570, r23561, r23569, MPFR_RNDN);
        return mpfr_get_d(r23570, MPFR_RNDN);
}

static mpfr_t r23571, r23572, r23573, r23574, r23575, r23576, r23577, r23578, r23579, r23580, r23581, r23582, r23583, r23584;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r23571);
        mpfr_init_set_str(r23572, "1/2", 10, MPFR_RNDN);
        mpfr_init(r23573);
        mpfr_init(r23574);
        mpfr_init_set_str(r23575, "2", 10, MPFR_RNDN);
        mpfr_init(r23576);
        mpfr_init(r23577);
        mpfr_init(r23578);
        mpfr_init(r23579);
        mpfr_init_set_str(r23580, "1", 10, MPFR_RNDN);
        mpfr_init(r23581);
        mpfr_init(r23582);
        mpfr_init(r23583);
        mpfr_init(r23584);
}

double f_fm(double k, double n) {
        mpfr_set_d(r23571, k, MPFR_RNDN);
        ;
        mpfr_neg(r23573, r23572, MPFR_RNDN);
        mpfr_pow(r23574, r23571, r23573, MPFR_RNDN);
        ;
        mpfr_const_pi(r23576, MPFR_RNDN);
        mpfr_mul(r23577, r23575, r23576, MPFR_RNDN);
        mpfr_set_d(r23578, n, MPFR_RNDN);
        mpfr_mul(r23579, r23577, r23578, MPFR_RNDN);
        ;
        mpfr_sub(r23581, r23580, r23571, MPFR_RNDN);
        mpfr_div(r23582, r23581, r23575, MPFR_RNDN);
        mpfr_pow(r23583, r23579, r23582, MPFR_RNDN);
        mpfr_mul(r23584, r23574, r23583, MPFR_RNDN);
        return mpfr_get_d(r23584, MPFR_RNDN);
}

static mpfr_t r23585, r23586, r23587, r23588, r23589, r23590, r23591, r23592, r23593, r23594, r23595, r23596, r23597, r23598;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r23585);
        mpfr_init_set_str(r23586, "1/2", 10, MPFR_RNDN);
        mpfr_init(r23587);
        mpfr_init(r23588);
        mpfr_init_set_str(r23589, "2", 10, MPFR_RNDN);
        mpfr_init(r23590);
        mpfr_init(r23591);
        mpfr_init(r23592);
        mpfr_init(r23593);
        mpfr_init_set_str(r23594, "1", 10, MPFR_RNDN);
        mpfr_init(r23595);
        mpfr_init(r23596);
        mpfr_init(r23597);
        mpfr_init(r23598);
}

double f_dm(double k, double n) {
        mpfr_set_d(r23585, k, MPFR_RNDN);
        ;
        mpfr_neg(r23587, r23586, MPFR_RNDN);
        mpfr_pow(r23588, r23585, r23587, MPFR_RNDN);
        ;
        mpfr_const_pi(r23590, MPFR_RNDN);
        mpfr_mul(r23591, r23589, r23590, MPFR_RNDN);
        mpfr_set_d(r23592, n, MPFR_RNDN);
        mpfr_mul(r23593, r23591, r23592, MPFR_RNDN);
        ;
        mpfr_sub(r23595, r23594, r23585, MPFR_RNDN);
        mpfr_div(r23596, r23595, r23589, MPFR_RNDN);
        mpfr_pow(r23597, r23593, r23596, MPFR_RNDN);
        mpfr_mul(r23598, r23588, r23597, MPFR_RNDN);
        return mpfr_get_d(r23598, MPFR_RNDN);
}