#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 r22363 = 1;
        float r22364 = k;
        float r22365 = sqrt(r22364);
        float r22366 = r22363 / r22365;
        float r22367 = 2;
        float r22368 = atan2(1.0, 0.0);
        float r22369 = r22367 * r22368;
        float r22370 = n;
        float r22371 = r22369 * r22370;
        float r22372 = r22363 - r22364;
        float r22373 = r22372 / r22367;
        float r22374 = pow(r22371, r22373);
        float r22375 = r22366 * r22374;
        return r22375;
}

double f_id(double k, double n) {
        double r22376 = 1;
        double r22377 = k;
        double r22378 = sqrt(r22377);
        double r22379 = r22376 / r22378;
        double r22380 = 2;
        double r22381 = atan2(1.0, 0.0);
        double r22382 = r22380 * r22381;
        double r22383 = n;
        double r22384 = r22382 * r22383;
        double r22385 = r22376 - r22377;
        double r22386 = r22385 / r22380;
        double r22387 = pow(r22384, r22386);
        double r22388 = r22379 * r22387;
        return r22388;
}


double f_of(float k, float n) {
        float r22389 = n;
        float r22390 = r22389 + r22389;
        float r22391 = atan2(1.0, 0.0);
        float r22392 = r22390 * r22391;
        float r22393 = 1;
        float r22394 = 2;
        float r22395 = r22393 / r22394;
        float r22396 = pow(r22392, r22395);
        float r22397 = k;
        float r22398 = sqrt(r22397);
        float r22399 = r22397 / r22394;
        float r22400 = pow(r22392, r22399);
        float r22401 = r22398 * r22400;
        float r22402 = r22396 / r22401;
        return r22402;
}

double f_od(double k, double n) {
        double r22403 = n;
        double r22404 = r22403 + r22403;
        double r22405 = atan2(1.0, 0.0);
        double r22406 = r22404 * r22405;
        double r22407 = 1;
        double r22408 = 2;
        double r22409 = r22407 / r22408;
        double r22410 = pow(r22406, r22409);
        double r22411 = k;
        double r22412 = sqrt(r22411);
        double r22413 = r22411 / r22408;
        double r22414 = pow(r22406, r22413);
        double r22415 = r22412 * r22414;
        double r22416 = r22410 / r22415;
        return r22416;
}

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 r22417, r22418, r22419, r22420, r22421, r22422, r22423, r22424, r22425, r22426, r22427, r22428, r22429;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init_set_str(r22417, "1", 10, MPFR_RNDN);
        mpfr_init(r22418);
        mpfr_init(r22419);
        mpfr_init(r22420);
        mpfr_init_set_str(r22421, "2", 10, MPFR_RNDN);
        mpfr_init(r22422);
        mpfr_init(r22423);
        mpfr_init(r22424);
        mpfr_init(r22425);
        mpfr_init(r22426);
        mpfr_init(r22427);
        mpfr_init(r22428);
        mpfr_init(r22429);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r22418, k, MPFR_RNDN);
        mpfr_sqrt(r22419, r22418, MPFR_RNDN);
        mpfr_div(r22420, r22417, r22419, MPFR_RNDN);
        ;
        mpfr_const_pi(r22422, MPFR_RNDN);
        mpfr_mul(r22423, r22421, r22422, MPFR_RNDN);
        mpfr_set_d(r22424, n, MPFR_RNDN);
        mpfr_mul(r22425, r22423, r22424, MPFR_RNDN);
        mpfr_sub(r22426, r22417, r22418, MPFR_RNDN);
        mpfr_div(r22427, r22426, r22421, MPFR_RNDN);
        mpfr_pow(r22428, r22425, r22427, MPFR_RNDN);
        mpfr_mul(r22429, r22420, r22428, MPFR_RNDN);
        return mpfr_get_d(r22429, MPFR_RNDN);
}

static mpfr_t r22430, r22431, r22432, r22433, r22434, r22435, r22436, r22437, r22438, r22439, r22440, r22441, r22442, r22443;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22430);
        mpfr_init(r22431);
        mpfr_init(r22432);
        mpfr_init(r22433);
        mpfr_init_set_str(r22434, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r22435, "2", 10, MPFR_RNDN);
        mpfr_init(r22436);
        mpfr_init(r22437);
        mpfr_init(r22438);
        mpfr_init(r22439);
        mpfr_init(r22440);
        mpfr_init(r22441);
        mpfr_init(r22442);
        mpfr_init(r22443);
}

double f_fm(double k, double n) {
        mpfr_set_d(r22430, n, MPFR_RNDN);
        mpfr_add(r22431, r22430, r22430, MPFR_RNDN);
        mpfr_const_pi(r22432, MPFR_RNDN);
        mpfr_mul(r22433, r22431, r22432, MPFR_RNDN);
        ;
        ;
        mpfr_div(r22436, r22434, r22435, MPFR_RNDN);
        mpfr_pow(r22437, r22433, r22436, MPFR_RNDN);
        mpfr_set_d(r22438, k, MPFR_RNDN);
        mpfr_sqrt(r22439, r22438, MPFR_RNDN);
        mpfr_div(r22440, r22438, r22435, MPFR_RNDN);
        mpfr_pow(r22441, r22433, r22440, MPFR_RNDN);
        mpfr_mul(r22442, r22439, r22441, MPFR_RNDN);
        mpfr_div(r22443, r22437, r22442, MPFR_RNDN);
        return mpfr_get_d(r22443, MPFR_RNDN);
}

static mpfr_t r22444, r22445, r22446, r22447, r22448, r22449, r22450, r22451, r22452, r22453, r22454, r22455, r22456, r22457;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22444);
        mpfr_init(r22445);
        mpfr_init(r22446);
        mpfr_init(r22447);
        mpfr_init_set_str(r22448, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r22449, "2", 10, MPFR_RNDN);
        mpfr_init(r22450);
        mpfr_init(r22451);
        mpfr_init(r22452);
        mpfr_init(r22453);
        mpfr_init(r22454);
        mpfr_init(r22455);
        mpfr_init(r22456);
        mpfr_init(r22457);
}

double f_dm(double k, double n) {
        mpfr_set_d(r22444, n, MPFR_RNDN);
        mpfr_add(r22445, r22444, r22444, MPFR_RNDN);
        mpfr_const_pi(r22446, MPFR_RNDN);
        mpfr_mul(r22447, r22445, r22446, MPFR_RNDN);
        ;
        ;
        mpfr_div(r22450, r22448, r22449, MPFR_RNDN);
        mpfr_pow(r22451, r22447, r22450, MPFR_RNDN);
        mpfr_set_d(r22452, k, MPFR_RNDN);
        mpfr_sqrt(r22453, r22452, MPFR_RNDN);
        mpfr_div(r22454, r22452, r22449, MPFR_RNDN);
        mpfr_pow(r22455, r22447, r22454, MPFR_RNDN);
        mpfr_mul(r22456, r22453, r22455, MPFR_RNDN);
        mpfr_div(r22457, r22451, r22456, MPFR_RNDN);
        return mpfr_get_d(r22457, MPFR_RNDN);
}