#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 r22432 = 1;
        float r22433 = k;
        float r22434 = sqrt(r22433);
        float r22435 = r22432 / r22434;
        float r22436 = 2;
        float r22437 = atan2(1.0, 0.0);
        float r22438 = r22436 * r22437;
        float r22439 = n;
        float r22440 = r22438 * r22439;
        float r22441 = r22432 - r22433;
        float r22442 = r22441 / r22436;
        float r22443 = pow(r22440, r22442);
        float r22444 = r22435 * r22443;
        return r22444;
}

double f_id(double k, double n) {
        double r22445 = 1;
        double r22446 = k;
        double r22447 = sqrt(r22446);
        double r22448 = r22445 / r22447;
        double r22449 = 2;
        double r22450 = atan2(1.0, 0.0);
        double r22451 = r22449 * r22450;
        double r22452 = n;
        double r22453 = r22451 * r22452;
        double r22454 = r22445 - r22446;
        double r22455 = r22454 / r22449;
        double r22456 = pow(r22453, r22455);
        double r22457 = r22448 * r22456;
        return r22457;
}


double f_of(float k, float n) {
        float r22458 = n;
        float r22459 = atan2(1.0, 0.0);
        float r22460 = r22459 + r22459;
        float r22461 = r22458 * r22460;
        float r22462 = 1;
        float r22463 = 2;
        float r22464 = r22462 / r22463;
        float r22465 = pow(r22461, r22464);
        float r22466 = k;
        float r22467 = r22466 / r22463;
        float r22468 = pow(r22461, r22467);
        float r22469 = r22465 / r22468;
        float r22470 = sqrt(r22466);
        float r22471 = r22469 / r22470;
        return r22471;
}

double f_od(double k, double n) {
        double r22472 = n;
        double r22473 = atan2(1.0, 0.0);
        double r22474 = r22473 + r22473;
        double r22475 = r22472 * r22474;
        double r22476 = 1;
        double r22477 = 2;
        double r22478 = r22476 / r22477;
        double r22479 = pow(r22475, r22478);
        double r22480 = k;
        double r22481 = r22480 / r22477;
        double r22482 = pow(r22475, r22481);
        double r22483 = r22479 / r22482;
        double r22484 = sqrt(r22480);
        double r22485 = r22483 / r22484;
        return r22485;
}

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 r22486, r22487, r22488, r22489, r22490, r22491, r22492, r22493, r22494, r22495, r22496, r22497, r22498;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init_set_str(r22486, "1", 10, MPFR_RNDN);
        mpfr_init(r22487);
        mpfr_init(r22488);
        mpfr_init(r22489);
        mpfr_init_set_str(r22490, "2", 10, MPFR_RNDN);
        mpfr_init(r22491);
        mpfr_init(r22492);
        mpfr_init(r22493);
        mpfr_init(r22494);
        mpfr_init(r22495);
        mpfr_init(r22496);
        mpfr_init(r22497);
        mpfr_init(r22498);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r22487, k, MPFR_RNDN);
        mpfr_sqrt(r22488, r22487, MPFR_RNDN);
        mpfr_div(r22489, r22486, r22488, MPFR_RNDN);
        ;
        mpfr_const_pi(r22491, MPFR_RNDN);
        mpfr_mul(r22492, r22490, r22491, MPFR_RNDN);
        mpfr_set_d(r22493, n, MPFR_RNDN);
        mpfr_mul(r22494, r22492, r22493, MPFR_RNDN);
        mpfr_sub(r22495, r22486, r22487, MPFR_RNDN);
        mpfr_div(r22496, r22495, r22490, MPFR_RNDN);
        mpfr_pow(r22497, r22494, r22496, MPFR_RNDN);
        mpfr_mul(r22498, r22489, r22497, MPFR_RNDN);
        return mpfr_get_d(r22498, MPFR_RNDN);
}

static mpfr_t r22499, r22500, r22501, r22502, r22503, r22504, r22505, r22506, r22507, r22508, r22509, r22510, r22511, r22512;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22499);
        mpfr_init(r22500);
        mpfr_init(r22501);
        mpfr_init(r22502);
        mpfr_init_set_str(r22503, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r22504, "2", 10, MPFR_RNDN);
        mpfr_init(r22505);
        mpfr_init(r22506);
        mpfr_init(r22507);
        mpfr_init(r22508);
        mpfr_init(r22509);
        mpfr_init(r22510);
        mpfr_init(r22511);
        mpfr_init(r22512);
}

double f_fm(double k, double n) {
        mpfr_set_d(r22499, n, MPFR_RNDN);
        mpfr_const_pi(r22500, MPFR_RNDN);
        mpfr_add(r22501, r22500, r22500, MPFR_RNDN);
        mpfr_mul(r22502, r22499, r22501, MPFR_RNDN);
        ;
        ;
        mpfr_div(r22505, r22503, r22504, MPFR_RNDN);
        mpfr_pow(r22506, r22502, r22505, MPFR_RNDN);
        mpfr_set_d(r22507, k, MPFR_RNDN);
        mpfr_div(r22508, r22507, r22504, MPFR_RNDN);
        mpfr_pow(r22509, r22502, r22508, MPFR_RNDN);
        mpfr_div(r22510, r22506, r22509, MPFR_RNDN);
        mpfr_sqrt(r22511, r22507, MPFR_RNDN);
        mpfr_div(r22512, r22510, r22511, MPFR_RNDN);
        return mpfr_get_d(r22512, MPFR_RNDN);
}

static mpfr_t r22513, r22514, r22515, r22516, r22517, r22518, r22519, r22520, r22521, r22522, r22523, r22524, r22525, r22526;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22513);
        mpfr_init(r22514);
        mpfr_init(r22515);
        mpfr_init(r22516);
        mpfr_init_set_str(r22517, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r22518, "2", 10, MPFR_RNDN);
        mpfr_init(r22519);
        mpfr_init(r22520);
        mpfr_init(r22521);
        mpfr_init(r22522);
        mpfr_init(r22523);
        mpfr_init(r22524);
        mpfr_init(r22525);
        mpfr_init(r22526);
}

double f_dm(double k, double n) {
        mpfr_set_d(r22513, n, MPFR_RNDN);
        mpfr_const_pi(r22514, MPFR_RNDN);
        mpfr_add(r22515, r22514, r22514, MPFR_RNDN);
        mpfr_mul(r22516, r22513, r22515, MPFR_RNDN);
        ;
        ;
        mpfr_div(r22519, r22517, r22518, MPFR_RNDN);
        mpfr_pow(r22520, r22516, r22519, MPFR_RNDN);
        mpfr_set_d(r22521, k, MPFR_RNDN);
        mpfr_div(r22522, r22521, r22518, MPFR_RNDN);
        mpfr_pow(r22523, r22516, r22522, MPFR_RNDN);
        mpfr_div(r22524, r22520, r22523, MPFR_RNDN);
        mpfr_sqrt(r22525, r22521, MPFR_RNDN);
        mpfr_div(r22526, r22524, r22525, MPFR_RNDN);
        return mpfr_get_d(r22526, MPFR_RNDN);
}