#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 r25519 = 1;
        float r25520 = k;
        float r25521 = sqrt(r25520);
        float r25522 = r25519 / r25521;
        float r25523 = 2;
        float r25524 = atan2(1.0, 0.0);
        float r25525 = r25523 * r25524;
        float r25526 = n;
        float r25527 = r25525 * r25526;
        float r25528 = r25519 - r25520;
        float r25529 = r25528 / r25523;
        float r25530 = pow(r25527, r25529);
        float r25531 = r25522 * r25530;
        return r25531;
}

double f_id(double k, double n) {
        double r25532 = 1;
        double r25533 = k;
        double r25534 = sqrt(r25533);
        double r25535 = r25532 / r25534;
        double r25536 = 2;
        double r25537 = atan2(1.0, 0.0);
        double r25538 = r25536 * r25537;
        double r25539 = n;
        double r25540 = r25538 * r25539;
        double r25541 = r25532 - r25533;
        double r25542 = r25541 / r25536;
        double r25543 = pow(r25540, r25542);
        double r25544 = r25535 * r25543;
        return r25544;
}


double f_of(float k, float n) {
        float r25545 = n;
        float r25546 = atan2(1.0, 0.0);
        float r25547 = 2;
        float r25548 = r25546 * r25547;
        float r25549 = r25545 * r25548;
        float r25550 = 1;
        float r25551 = r25550 / r25547;
        float r25552 = pow(r25549, r25551);
        float r25553 = k;
        float r25554 = r25553 / r25547;
        float r25555 = pow(r25549, r25554);
        float r25556 = r25552 / r25555;
        float r25557 = sqrt(r25553);
        float r25558 = r25556 / r25557;
        return r25558;
}

double f_od(double k, double n) {
        double r25559 = n;
        double r25560 = atan2(1.0, 0.0);
        double r25561 = 2;
        double r25562 = r25560 * r25561;
        double r25563 = r25559 * r25562;
        double r25564 = 1;
        double r25565 = r25564 / r25561;
        double r25566 = pow(r25563, r25565);
        double r25567 = k;
        double r25568 = r25567 / r25561;
        double r25569 = pow(r25563, r25568);
        double r25570 = r25566 / r25569;
        double r25571 = sqrt(r25567);
        double r25572 = r25570 / r25571;
        return r25572;
}

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 r25573, r25574, r25575, r25576, r25577, r25578, r25579, r25580, r25581, r25582, r25583, r25584, r25585;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init_set_str(r25573, "1", 10, MPFR_RNDN);
        mpfr_init(r25574);
        mpfr_init(r25575);
        mpfr_init(r25576);
        mpfr_init_set_str(r25577, "2", 10, MPFR_RNDN);
        mpfr_init(r25578);
        mpfr_init(r25579);
        mpfr_init(r25580);
        mpfr_init(r25581);
        mpfr_init(r25582);
        mpfr_init(r25583);
        mpfr_init(r25584);
        mpfr_init(r25585);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r25574, k, MPFR_RNDN);
        mpfr_sqrt(r25575, r25574, MPFR_RNDN);
        mpfr_div(r25576, r25573, r25575, MPFR_RNDN);
        ;
        mpfr_const_pi(r25578, MPFR_RNDN);
        mpfr_mul(r25579, r25577, r25578, MPFR_RNDN);
        mpfr_set_d(r25580, n, MPFR_RNDN);
        mpfr_mul(r25581, r25579, r25580, MPFR_RNDN);
        mpfr_sub(r25582, r25573, r25574, MPFR_RNDN);
        mpfr_div(r25583, r25582, r25577, MPFR_RNDN);
        mpfr_pow(r25584, r25581, r25583, MPFR_RNDN);
        mpfr_mul(r25585, r25576, r25584, MPFR_RNDN);
        return mpfr_get_d(r25585, MPFR_RNDN);
}

static mpfr_t r25586, r25587, r25588, r25589, r25590, r25591, r25592, r25593, r25594, r25595, r25596, r25597, r25598, r25599;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r25586);
        mpfr_init(r25587);
        mpfr_init_set_str(r25588, "2", 10, MPFR_RNDN);
        mpfr_init(r25589);
        mpfr_init(r25590);
        mpfr_init_set_str(r25591, "1", 10, MPFR_RNDN);
        mpfr_init(r25592);
        mpfr_init(r25593);
        mpfr_init(r25594);
        mpfr_init(r25595);
        mpfr_init(r25596);
        mpfr_init(r25597);
        mpfr_init(r25598);
        mpfr_init(r25599);
}

double f_fm(double k, double n) {
        mpfr_set_d(r25586, n, MPFR_RNDN);
        mpfr_const_pi(r25587, MPFR_RNDN);
        ;
        mpfr_mul(r25589, r25587, r25588, MPFR_RNDN);
        mpfr_mul(r25590, r25586, r25589, MPFR_RNDN);
        ;
        mpfr_div(r25592, r25591, r25588, MPFR_RNDN);
        mpfr_pow(r25593, r25590, r25592, MPFR_RNDN);
        mpfr_set_d(r25594, k, MPFR_RNDN);
        mpfr_div(r25595, r25594, r25588, MPFR_RNDN);
        mpfr_pow(r25596, r25590, r25595, MPFR_RNDN);
        mpfr_div(r25597, r25593, r25596, MPFR_RNDN);
        mpfr_sqrt(r25598, r25594, MPFR_RNDN);
        mpfr_div(r25599, r25597, r25598, MPFR_RNDN);
        return mpfr_get_d(r25599, MPFR_RNDN);
}

static mpfr_t r25600, r25601, r25602, r25603, r25604, r25605, r25606, r25607, r25608, r25609, r25610, r25611, r25612, r25613;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r25600);
        mpfr_init(r25601);
        mpfr_init_set_str(r25602, "2", 10, MPFR_RNDN);
        mpfr_init(r25603);
        mpfr_init(r25604);
        mpfr_init_set_str(r25605, "1", 10, MPFR_RNDN);
        mpfr_init(r25606);
        mpfr_init(r25607);
        mpfr_init(r25608);
        mpfr_init(r25609);
        mpfr_init(r25610);
        mpfr_init(r25611);
        mpfr_init(r25612);
        mpfr_init(r25613);
}

double f_dm(double k, double n) {
        mpfr_set_d(r25600, n, MPFR_RNDN);
        mpfr_const_pi(r25601, MPFR_RNDN);
        ;
        mpfr_mul(r25603, r25601, r25602, MPFR_RNDN);
        mpfr_mul(r25604, r25600, r25603, MPFR_RNDN);
        ;
        mpfr_div(r25606, r25605, r25602, MPFR_RNDN);
        mpfr_pow(r25607, r25604, r25606, MPFR_RNDN);
        mpfr_set_d(r25608, k, MPFR_RNDN);
        mpfr_div(r25609, r25608, r25602, MPFR_RNDN);
        mpfr_pow(r25610, r25604, r25609, MPFR_RNDN);
        mpfr_div(r25611, r25607, r25610, MPFR_RNDN);
        mpfr_sqrt(r25612, r25608, MPFR_RNDN);
        mpfr_div(r25613, r25611, r25612, MPFR_RNDN);
        return mpfr_get_d(r25613, MPFR_RNDN);
}