#include <tgmath.h>
#include <gmp.h>
#include <mpfr.h>
#include <stdio.h>
#include <stdbool.h>

char *name = "2nthrt (problem 3.4.6)";

double f_if(float x, float n) {
        float r25434 = x;
        float r25435 = 1;
        float r25436 = r25434 + r25435;
        float r25437 = n;
        float r25438 = r25435 / r25437;
        float r25439 = pow(r25436, r25438);
        float r25440 = pow(r25434, r25438);
        float r25441 = r25439 - r25440;
        return r25441;
}

double f_id(double x, double n) {
        double r25442 = x;
        double r25443 = 1;
        double r25444 = r25442 + r25443;
        double r25445 = n;
        double r25446 = r25443 / r25445;
        double r25447 = pow(r25444, r25446);
        double r25448 = pow(r25442, r25446);
        double r25449 = r25447 - r25448;
        return r25449;
}


double f_of(float x, float n) {
        float r25450 = n;
        float r25451 = -355119398752.94354;
        bool r25452 = r25450 <= r25451;
        float r25453 = 1;
        float r25454 = r25453 / r25450;
        float r25455 = x;
        float r25456 = r25454 / r25455;
        float r25457 = 1/2;
        float r25458 = r25457 / r25450;
        float r25459 = r25455 * r25455;
        float r25460 = r25458 / r25459;
        float r25461 = r25456 - r25460;
        float r25462 = log(r25455);
        float r25463 = r25450 * r25455;
        float r25464 = r25463 * r25450;
        float r25465 = r25462 / r25464;
        float r25466 = cbrt(r25465);
        float r25467 = r25466 * r25466;
        float r25468 = r25467 * r25466;
        float r25469 = r25461 + r25468;
        float r25470 = 11954596533.788307;
        bool r25471 = r25450 <= r25470;
        float r25472 = r25453 + r25455;
        float r25473 = pow(r25472, r25454);
        float r25474 = pow(r25455, r25454);
        float r25475 = r25473 - r25474;
        float r25476 = exp(r25475);
        float r25477 = log(r25476);
        float r25478 = exp(r25460);
        float r25479 = log(r25478);
        float r25480 = r25456 - r25479;
        float r25481 = r25480 + r25465;
        float r25482 = r25471 ? r25477 : r25481;
        float r25483 = r25452 ? r25469 : r25482;
        return r25483;
}

double f_od(double x, double n) {
        double r25484 = n;
        double r25485 = -355119398752.94354;
        bool r25486 = r25484 <= r25485;
        double r25487 = 1;
        double r25488 = r25487 / r25484;
        double r25489 = x;
        double r25490 = r25488 / r25489;
        double r25491 = 1/2;
        double r25492 = r25491 / r25484;
        double r25493 = r25489 * r25489;
        double r25494 = r25492 / r25493;
        double r25495 = r25490 - r25494;
        double r25496 = log(r25489);
        double r25497 = r25484 * r25489;
        double r25498 = r25497 * r25484;
        double r25499 = r25496 / r25498;
        double r25500 = cbrt(r25499);
        double r25501 = r25500 * r25500;
        double r25502 = r25501 * r25500;
        double r25503 = r25495 + r25502;
        double r25504 = 11954596533.788307;
        bool r25505 = r25484 <= r25504;
        double r25506 = r25487 + r25489;
        double r25507 = pow(r25506, r25488);
        double r25508 = pow(r25489, r25488);
        double r25509 = r25507 - r25508;
        double r25510 = exp(r25509);
        double r25511 = log(r25510);
        double r25512 = exp(r25494);
        double r25513 = log(r25512);
        double r25514 = r25490 - r25513;
        double r25515 = r25514 + r25499;
        double r25516 = r25505 ? r25511 : r25515;
        double r25517 = r25486 ? r25503 : r25516;
        return r25517;
}

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 r25518, r25519, r25520, r25521, r25522, r25523, r25524, r25525;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init(r25518);
        mpfr_init_set_str(r25519, "1", 10, MPFR_RNDN);
        mpfr_init(r25520);
        mpfr_init(r25521);
        mpfr_init(r25522);
        mpfr_init(r25523);
        mpfr_init(r25524);
        mpfr_init(r25525);
}

double f_im(double x, double n) {
        mpfr_set_d(r25518, x, MPFR_RNDN);
        ;
        mpfr_add(r25520, r25518, r25519, MPFR_RNDN);
        mpfr_set_d(r25521, n, MPFR_RNDN);
        mpfr_div(r25522, r25519, r25521, MPFR_RNDN);
        mpfr_pow(r25523, r25520, r25522, MPFR_RNDN);
        mpfr_pow(r25524, r25518, r25522, MPFR_RNDN);
        mpfr_sub(r25525, r25523, r25524, MPFR_RNDN);
        return mpfr_get_d(r25525, MPFR_RNDN);
}

static mpfr_t r25526, r25527, r25528, r25529, r25530, r25531, r25532, r25533, r25534, r25535, r25536, r25537, r25538, r25539, r25540, r25541, r25542, r25543, r25544, r25545, r25546, r25547, r25548, r25549, r25550, r25551, r25552, r25553, r25554, r25555, r25556, r25557, r25558, r25559;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r25526);
        mpfr_init_set_str(r25527, "-355119398752.94354", 10, MPFR_RNDN);
        mpfr_init(r25528);
        mpfr_init_set_str(r25529, "1", 10, MPFR_RNDN);
        mpfr_init(r25530);
        mpfr_init(r25531);
        mpfr_init(r25532);
        mpfr_init_set_str(r25533, "1/2", 10, MPFR_RNDN);
        mpfr_init(r25534);
        mpfr_init(r25535);
        mpfr_init(r25536);
        mpfr_init(r25537);
        mpfr_init(r25538);
        mpfr_init(r25539);
        mpfr_init(r25540);
        mpfr_init(r25541);
        mpfr_init(r25542);
        mpfr_init(r25543);
        mpfr_init(r25544);
        mpfr_init(r25545);
        mpfr_init_set_str(r25546, "11954596533.788307", 10, MPFR_RNDN);
        mpfr_init(r25547);
        mpfr_init(r25548);
        mpfr_init(r25549);
        mpfr_init(r25550);
        mpfr_init(r25551);
        mpfr_init(r25552);
        mpfr_init(r25553);
        mpfr_init(r25554);
        mpfr_init(r25555);
        mpfr_init(r25556);
        mpfr_init(r25557);
        mpfr_init(r25558);
        mpfr_init(r25559);
}

double f_fm(double x, double n) {
        mpfr_set_d(r25526, n, MPFR_RNDN);
        ;
        mpfr_set_si(r25528, mpfr_cmp(r25526, r25527) <= 0, MPFR_RNDN);
        ;
        mpfr_div(r25530, r25529, r25526, MPFR_RNDN);
        mpfr_set_d(r25531, x, MPFR_RNDN);
        mpfr_div(r25532, r25530, r25531, MPFR_RNDN);
        ;
        mpfr_div(r25534, r25533, r25526, MPFR_RNDN);
        mpfr_mul(r25535, r25531, r25531, MPFR_RNDN);
        mpfr_div(r25536, r25534, r25535, MPFR_RNDN);
        mpfr_sub(r25537, r25532, r25536, MPFR_RNDN);
        mpfr_log(r25538, r25531, MPFR_RNDN);
        mpfr_mul(r25539, r25526, r25531, MPFR_RNDN);
        mpfr_mul(r25540, r25539, r25526, MPFR_RNDN);
        mpfr_div(r25541, r25538, r25540, MPFR_RNDN);
        mpfr_cbrt(r25542, r25541, MPFR_RNDN);
        mpfr_mul(r25543, r25542, r25542, MPFR_RNDN);
        mpfr_mul(r25544, r25543, r25542, MPFR_RNDN);
        mpfr_add(r25545, r25537, r25544, MPFR_RNDN);
        ;
        mpfr_set_si(r25547, mpfr_cmp(r25526, r25546) <= 0, MPFR_RNDN);
        mpfr_add(r25548, r25529, r25531, MPFR_RNDN);
        mpfr_pow(r25549, r25548, r25530, MPFR_RNDN);
        mpfr_pow(r25550, r25531, r25530, MPFR_RNDN);
        mpfr_sub(r25551, r25549, r25550, MPFR_RNDN);
        mpfr_exp(r25552, r25551, MPFR_RNDN);
        mpfr_log(r25553, r25552, MPFR_RNDN);
        mpfr_exp(r25554, r25536, MPFR_RNDN);
        mpfr_log(r25555, r25554, MPFR_RNDN);
        mpfr_sub(r25556, r25532, r25555, MPFR_RNDN);
        mpfr_add(r25557, r25556, r25541, MPFR_RNDN);
        if (mpfr_get_si(r25547, MPFR_RNDN)) { mpfr_set(r25558, r25553, MPFR_RNDN); } else { mpfr_set(r25558, r25557, MPFR_RNDN); };
        if (mpfr_get_si(r25528, MPFR_RNDN)) { mpfr_set(r25559, r25545, MPFR_RNDN); } else { mpfr_set(r25559, r25558, MPFR_RNDN); };
        return mpfr_get_d(r25559, MPFR_RNDN);
}

static mpfr_t r25560, r25561, r25562, r25563, r25564, r25565, r25566, r25567, r25568, r25569, r25570, r25571, r25572, r25573, r25574, r25575, r25576, r25577, r25578, r25579, r25580, r25581, r25582, r25583, r25584, r25585, r25586, r25587, r25588, r25589, r25590, r25591, r25592, r25593;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r25560);
        mpfr_init_set_str(r25561, "-355119398752.94354", 10, MPFR_RNDN);
        mpfr_init(r25562);
        mpfr_init_set_str(r25563, "1", 10, MPFR_RNDN);
        mpfr_init(r25564);
        mpfr_init(r25565);
        mpfr_init(r25566);
        mpfr_init_set_str(r25567, "1/2", 10, MPFR_RNDN);
        mpfr_init(r25568);
        mpfr_init(r25569);
        mpfr_init(r25570);
        mpfr_init(r25571);
        mpfr_init(r25572);
        mpfr_init(r25573);
        mpfr_init(r25574);
        mpfr_init(r25575);
        mpfr_init(r25576);
        mpfr_init(r25577);
        mpfr_init(r25578);
        mpfr_init(r25579);
        mpfr_init_set_str(r25580, "11954596533.788307", 10, MPFR_RNDN);
        mpfr_init(r25581);
        mpfr_init(r25582);
        mpfr_init(r25583);
        mpfr_init(r25584);
        mpfr_init(r25585);
        mpfr_init(r25586);
        mpfr_init(r25587);
        mpfr_init(r25588);
        mpfr_init(r25589);
        mpfr_init(r25590);
        mpfr_init(r25591);
        mpfr_init(r25592);
        mpfr_init(r25593);
}

double f_dm(double x, double n) {
        mpfr_set_d(r25560, n, MPFR_RNDN);
        ;
        mpfr_set_si(r25562, mpfr_cmp(r25560, r25561) <= 0, MPFR_RNDN);
        ;
        mpfr_div(r25564, r25563, r25560, MPFR_RNDN);
        mpfr_set_d(r25565, x, MPFR_RNDN);
        mpfr_div(r25566, r25564, r25565, MPFR_RNDN);
        ;
        mpfr_div(r25568, r25567, r25560, MPFR_RNDN);
        mpfr_mul(r25569, r25565, r25565, MPFR_RNDN);
        mpfr_div(r25570, r25568, r25569, MPFR_RNDN);
        mpfr_sub(r25571, r25566, r25570, MPFR_RNDN);
        mpfr_log(r25572, r25565, MPFR_RNDN);
        mpfr_mul(r25573, r25560, r25565, MPFR_RNDN);
        mpfr_mul(r25574, r25573, r25560, MPFR_RNDN);
        mpfr_div(r25575, r25572, r25574, MPFR_RNDN);
        mpfr_cbrt(r25576, r25575, MPFR_RNDN);
        mpfr_mul(r25577, r25576, r25576, MPFR_RNDN);
        mpfr_mul(r25578, r25577, r25576, MPFR_RNDN);
        mpfr_add(r25579, r25571, r25578, MPFR_RNDN);
        ;
        mpfr_set_si(r25581, mpfr_cmp(r25560, r25580) <= 0, MPFR_RNDN);
        mpfr_add(r25582, r25563, r25565, MPFR_RNDN);
        mpfr_pow(r25583, r25582, r25564, MPFR_RNDN);
        mpfr_pow(r25584, r25565, r25564, MPFR_RNDN);
        mpfr_sub(r25585, r25583, r25584, MPFR_RNDN);
        mpfr_exp(r25586, r25585, MPFR_RNDN);
        mpfr_log(r25587, r25586, MPFR_RNDN);
        mpfr_exp(r25588, r25570, MPFR_RNDN);
        mpfr_log(r25589, r25588, MPFR_RNDN);
        mpfr_sub(r25590, r25566, r25589, MPFR_RNDN);
        mpfr_add(r25591, r25590, r25575, MPFR_RNDN);
        if (mpfr_get_si(r25581, MPFR_RNDN)) { mpfr_set(r25592, r25587, MPFR_RNDN); } else { mpfr_set(r25592, r25591, MPFR_RNDN); };
        if (mpfr_get_si(r25562, MPFR_RNDN)) { mpfr_set(r25593, r25579, MPFR_RNDN); } else { mpfr_set(r25593, r25592, MPFR_RNDN); };
        return mpfr_get_d(r25593, MPFR_RNDN);
}