#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 r22431 = 1;
        float r22432 = k;
        float r22433 = sqrt(r22432);
        float r22434 = r22431 / r22433;
        float r22435 = 2;
        float r22436 = atan2(1.0, 0.0);
        float r22437 = r22435 * r22436;
        float r22438 = n;
        float r22439 = r22437 * r22438;
        float r22440 = r22431 - r22432;
        float r22441 = r22440 / r22435;
        float r22442 = pow(r22439, r22441);
        float r22443 = r22434 * r22442;
        return r22443;
}

double f_id(double k, double n) {
        double r22444 = 1;
        double r22445 = k;
        double r22446 = sqrt(r22445);
        double r22447 = r22444 / r22446;
        double r22448 = 2;
        double r22449 = atan2(1.0, 0.0);
        double r22450 = r22448 * r22449;
        double r22451 = n;
        double r22452 = r22450 * r22451;
        double r22453 = r22444 - r22445;
        double r22454 = r22453 / r22448;
        double r22455 = pow(r22452, r22454);
        double r22456 = r22447 * r22455;
        return r22456;
}


double f_of(float k, float n) {
        float r22457 = n;
        float r22458 = atan2(1.0, 0.0);
        float r22459 = r22458 + r22458;
        float r22460 = r22457 * r22459;
        float r22461 = 1;
        float r22462 = 2;
        float r22463 = r22461 / r22462;
        float r22464 = pow(r22460, r22463);
        float r22465 = k;
        float r22466 = sqrt(r22465);
        float r22467 = r22465 / r22462;
        float r22468 = pow(r22460, r22467);
        float r22469 = r22466 * r22468;
        float r22470 = r22464 / r22469;
        return r22470;
}

double f_od(double k, double n) {
        double r22471 = n;
        double r22472 = atan2(1.0, 0.0);
        double r22473 = r22472 + r22472;
        double r22474 = r22471 * r22473;
        double r22475 = 1;
        double r22476 = 2;
        double r22477 = r22475 / r22476;
        double r22478 = pow(r22474, r22477);
        double r22479 = k;
        double r22480 = sqrt(r22479);
        double r22481 = r22479 / r22476;
        double r22482 = pow(r22474, r22481);
        double r22483 = r22480 * r22482;
        double r22484 = r22478 / r22483;
        return r22484;
}

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 r22485, r22486, r22487, r22488, r22489, r22490, r22491, r22492, r22493, r22494, r22495, r22496, r22497;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init_set_str(r22485, "1", 10, MPFR_RNDN);
        mpfr_init(r22486);
        mpfr_init(r22487);
        mpfr_init(r22488);
        mpfr_init_set_str(r22489, "2", 10, MPFR_RNDN);
        mpfr_init(r22490);
        mpfr_init(r22491);
        mpfr_init(r22492);
        mpfr_init(r22493);
        mpfr_init(r22494);
        mpfr_init(r22495);
        mpfr_init(r22496);
        mpfr_init(r22497);
}

double f_im(double k, double n) {
        ;
        mpfr_set_d(r22486, k, MPFR_RNDN);
        mpfr_sqrt(r22487, r22486, MPFR_RNDN);
        mpfr_div(r22488, r22485, r22487, MPFR_RNDN);
        ;
        mpfr_const_pi(r22490, MPFR_RNDN);
        mpfr_mul(r22491, r22489, r22490, MPFR_RNDN);
        mpfr_set_d(r22492, n, MPFR_RNDN);
        mpfr_mul(r22493, r22491, r22492, MPFR_RNDN);
        mpfr_sub(r22494, r22485, r22486, MPFR_RNDN);
        mpfr_div(r22495, r22494, r22489, MPFR_RNDN);
        mpfr_pow(r22496, r22493, r22495, MPFR_RNDN);
        mpfr_mul(r22497, r22488, r22496, MPFR_RNDN);
        return mpfr_get_d(r22497, MPFR_RNDN);
}

static mpfr_t r22498, r22499, r22500, r22501, r22502, r22503, r22504, r22505, r22506, r22507, r22508, r22509, r22510, r22511;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22498);
        mpfr_init(r22499);
        mpfr_init(r22500);
        mpfr_init(r22501);
        mpfr_init_set_str(r22502, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r22503, "2", 10, MPFR_RNDN);
        mpfr_init(r22504);
        mpfr_init(r22505);
        mpfr_init(r22506);
        mpfr_init(r22507);
        mpfr_init(r22508);
        mpfr_init(r22509);
        mpfr_init(r22510);
        mpfr_init(r22511);
}

double f_fm(double k, double n) {
        mpfr_set_d(r22498, n, MPFR_RNDN);
        mpfr_const_pi(r22499, MPFR_RNDN);
        mpfr_add(r22500, r22499, r22499, MPFR_RNDN);
        mpfr_mul(r22501, r22498, r22500, MPFR_RNDN);
        ;
        ;
        mpfr_div(r22504, r22502, r22503, MPFR_RNDN);
        mpfr_pow(r22505, r22501, r22504, MPFR_RNDN);
        mpfr_set_d(r22506, k, MPFR_RNDN);
        mpfr_sqrt(r22507, r22506, MPFR_RNDN);
        mpfr_div(r22508, r22506, r22503, MPFR_RNDN);
        mpfr_pow(r22509, r22501, r22508, MPFR_RNDN);
        mpfr_mul(r22510, r22507, r22509, MPFR_RNDN);
        mpfr_div(r22511, r22505, r22510, MPFR_RNDN);
        return mpfr_get_d(r22511, MPFR_RNDN);
}

static mpfr_t r22512, r22513, r22514, r22515, r22516, r22517, r22518, r22519, r22520, r22521, r22522, r22523, r22524, r22525;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22512);
        mpfr_init(r22513);
        mpfr_init(r22514);
        mpfr_init(r22515);
        mpfr_init_set_str(r22516, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r22517, "2", 10, MPFR_RNDN);
        mpfr_init(r22518);
        mpfr_init(r22519);
        mpfr_init(r22520);
        mpfr_init(r22521);
        mpfr_init(r22522);
        mpfr_init(r22523);
        mpfr_init(r22524);
        mpfr_init(r22525);
}

double f_dm(double k, double n) {
        mpfr_set_d(r22512, n, MPFR_RNDN);
        mpfr_const_pi(r22513, MPFR_RNDN);
        mpfr_add(r22514, r22513, r22513, MPFR_RNDN);
        mpfr_mul(r22515, r22512, r22514, MPFR_RNDN);
        ;
        ;
        mpfr_div(r22518, r22516, r22517, MPFR_RNDN);
        mpfr_pow(r22519, r22515, r22518, MPFR_RNDN);
        mpfr_set_d(r22520, k, MPFR_RNDN);
        mpfr_sqrt(r22521, r22520, MPFR_RNDN);
        mpfr_div(r22522, r22520, r22517, MPFR_RNDN);
        mpfr_pow(r22523, r22515, r22522, MPFR_RNDN);
        mpfr_mul(r22524, r22521, r22523, MPFR_RNDN);
        mpfr_div(r22525, r22519, r22524, MPFR_RNDN);
        return mpfr_get_d(r22525, MPFR_RNDN);
}