#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 r25498 = 1;
        float r25499 = k;
        float r25500 = sqrt(r25499);
        float r25501 = r25498 / r25500;
        float r25502 = 2;
        float r25503 = atan2(1.0, 0.0);
        float r25504 = r25502 * r25503;
        float r25505 = n;
        float r25506 = r25504 * r25505;
        float r25507 = r25498 - r25499;
        float r25508 = r25507 / r25502;
        float r25509 = pow(r25506, r25508);
        float r25510 = r25501 * r25509;
        return r25510;
}

double f_id(double k, double n) {
        double r25511 = 1;
        double r25512 = k;
        double r25513 = sqrt(r25512);
        double r25514 = r25511 / r25513;
        double r25515 = 2;
        double r25516 = atan2(1.0, 0.0);
        double r25517 = r25515 * r25516;
        double r25518 = n;
        double r25519 = r25517 * r25518;
        double r25520 = r25511 - r25512;
        double r25521 = r25520 / r25515;
        double r25522 = pow(r25519, r25521);
        double r25523 = r25514 * r25522;
        return r25523;
}


double f_of(float k, float n) {
        float r25524 = 1;
        float r25525 = k;
        float r25526 = sqrt(r25525);
        float r25527 = n;
        float r25528 = atan2(1.0, 0.0);
        float r25529 = 2;
        float r25530 = r25528 * r25529;
        float r25531 = r25527 * r25530;
        float r25532 = r25524 - r25525;
        float r25533 = r25532 / r25529;
        float r25534 = pow(r25531, r25533);
        float r25535 = r25526 / r25534;
        float r25536 = r25524 / r25535;
        return r25536;
}

double f_od(double k, double n) {
        double r25537 = 1;
        double r25538 = k;
        double r25539 = sqrt(r25538);
        double r25540 = n;
        double r25541 = atan2(1.0, 0.0);
        double r25542 = 2;
        double r25543 = r25541 * r25542;
        double r25544 = r25540 * r25543;
        double r25545 = r25537 - r25538;
        double r25546 = r25545 / r25542;
        double r25547 = pow(r25544, r25546);
        double r25548 = r25539 / r25547;
        double r25549 = r25537 / r25548;
        return r25549;
}

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 r25550, r25551, r25552, r25553, r25554, r25555, r25556, r25557, r25558, r25559, r25560, r25561, r25562;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init_set_str(r25550, "1", 10, MPFR_RNDN);
        mpfr_init(r25551);
        mpfr_init(r25552);
        mpfr_init(r25553);
        mpfr_init_set_str(r25554, "2", 10, MPFR_RNDN);
        mpfr_init(r25555);
        mpfr_init(r25556);
        mpfr_init(r25557);
        mpfr_init(r25558);
        mpfr_init(r25559);
        mpfr_init(r25560);
        mpfr_init(r25561);
        mpfr_init(r25562);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r25551, k, MPFR_RNDN);
        mpfr_sqrt(r25552, r25551, MPFR_RNDN);
        mpfr_div(r25553, r25550, r25552, MPFR_RNDN);
        ;
        mpfr_const_pi(r25555, MPFR_RNDN);
        mpfr_mul(r25556, r25554, r25555, MPFR_RNDN);
        mpfr_set_d(r25557, n, MPFR_RNDN);
        mpfr_mul(r25558, r25556, r25557, MPFR_RNDN);
        mpfr_sub(r25559, r25550, r25551, MPFR_RNDN);
        mpfr_div(r25560, r25559, r25554, MPFR_RNDN);
        mpfr_pow(r25561, r25558, r25560, MPFR_RNDN);
        mpfr_mul(r25562, r25553, r25561, MPFR_RNDN);
        return mpfr_get_d(r25562, MPFR_RNDN);
}

static mpfr_t r25563, r25564, r25565, r25566, r25567, r25568, r25569, r25570, r25571, r25572, r25573, r25574, r25575;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init_set_str(r25563, "1", 10, MPFR_RNDN);
        mpfr_init(r25564);
        mpfr_init(r25565);
        mpfr_init(r25566);
        mpfr_init(r25567);
        mpfr_init_set_str(r25568, "2", 10, MPFR_RNDN);
        mpfr_init(r25569);
        mpfr_init(r25570);
        mpfr_init(r25571);
        mpfr_init(r25572);
        mpfr_init(r25573);
        mpfr_init(r25574);
        mpfr_init(r25575);
}

double f_fm(double k, double n) {
        ;
        mpfr_set_d(r25564, k, MPFR_RNDN);
        mpfr_sqrt(r25565, r25564, MPFR_RNDN);
        mpfr_set_d(r25566, n, MPFR_RNDN);
        mpfr_const_pi(r25567, MPFR_RNDN);
        ;
        mpfr_mul(r25569, r25567, r25568, MPFR_RNDN);
        mpfr_mul(r25570, r25566, r25569, MPFR_RNDN);
        mpfr_sub(r25571, r25563, r25564, MPFR_RNDN);
        mpfr_div(r25572, r25571, r25568, MPFR_RNDN);
        mpfr_pow(r25573, r25570, r25572, MPFR_RNDN);
        mpfr_div(r25574, r25565, r25573, MPFR_RNDN);
        mpfr_div(r25575, r25563, r25574, MPFR_RNDN);
        return mpfr_get_d(r25575, MPFR_RNDN);
}

static mpfr_t r25576, r25577, r25578, r25579, r25580, r25581, r25582, r25583, r25584, r25585, r25586, r25587, r25588;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init_set_str(r25576, "1", 10, MPFR_RNDN);
        mpfr_init(r25577);
        mpfr_init(r25578);
        mpfr_init(r25579);
        mpfr_init(r25580);
        mpfr_init_set_str(r25581, "2", 10, MPFR_RNDN);
        mpfr_init(r25582);
        mpfr_init(r25583);
        mpfr_init(r25584);
        mpfr_init(r25585);
        mpfr_init(r25586);
        mpfr_init(r25587);
        mpfr_init(r25588);
}

double f_dm(double k, double n) {
        ;
        mpfr_set_d(r25577, k, MPFR_RNDN);
        mpfr_sqrt(r25578, r25577, MPFR_RNDN);
        mpfr_set_d(r25579, n, MPFR_RNDN);
        mpfr_const_pi(r25580, MPFR_RNDN);
        ;
        mpfr_mul(r25582, r25580, r25581, MPFR_RNDN);
        mpfr_mul(r25583, r25579, r25582, MPFR_RNDN);
        mpfr_sub(r25584, r25576, r25577, MPFR_RNDN);
        mpfr_div(r25585, r25584, r25581, MPFR_RNDN);
        mpfr_pow(r25586, r25583, r25585, MPFR_RNDN);
        mpfr_div(r25587, r25578, r25586, MPFR_RNDN);
        mpfr_div(r25588, r25576, r25587, MPFR_RNDN);
        return mpfr_get_d(r25588, MPFR_RNDN);
}