#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 r25404 = x;
        float r25405 = 1;
        float r25406 = r25404 + r25405;
        float r25407 = n;
        float r25408 = r25405 / r25407;
        float r25409 = pow(r25406, r25408);
        float r25410 = pow(r25404, r25408);
        float r25411 = r25409 - r25410;
        return r25411;
}

double f_id(double x, double n) {
        double r25412 = x;
        double r25413 = 1;
        double r25414 = r25412 + r25413;
        double r25415 = n;
        double r25416 = r25413 / r25415;
        double r25417 = pow(r25414, r25416);
        double r25418 = pow(r25412, r25416);
        double r25419 = r25417 - r25418;
        return r25419;
}


double f_of(float x, float n) {
        float r25420 = x;
        float r25421 = log(r25420);
        float r25422 = n;
        float r25423 = r25421 / r25422;
        float r25424 = 1;
        float r25425 = r25424 / r25422;
        float r25426 = pow(r25420, r25425);
        float r25427 = r25423 - r25426;
        float r25428 = r25425 / r25420;
        float r25429 = r25428 + r25424;
        float r25430 = r25427 + r25429;
        float r25431 = -8.801573834002643e-07;
        bool r25432 = r25430 <= r25431;
        float r25433 = r25424 + r25420;
        float r25434 = pow(r25433, r25425);
        float r25435 = r25434 - r25426;
        float r25436 = cbrt(r25435);
        float r25437 = r25436 * r25436;
        float r25438 = exp(r25436);
        float r25439 = cbrt(r25438);
        float r25440 = r25439 * r25439;
        float r25441 = log(r25440);
        float r25442 = cbrt(r25439);
        float r25443 = log(r25442);
        float r25444 = r25442 * r25442;
        float r25445 = log(r25444);
        float r25446 = r25443 + r25445;
        float r25447 = r25441 + r25446;
        float r25448 = r25437 * r25447;
        float r25449 = 4.226585606992127e-96;
        bool r25450 = r25430 <= r25449;
        float r25451 = 1/2;
        float r25452 = r25451 / r25422;
        float r25453 = r25420 * r25420;
        float r25454 = r25452 / r25453;
        float r25455 = r25428 - r25454;
        float r25456 = r25420 * r25422;
        float r25457 = r25456 * r25422;
        float r25458 = r25421 / r25457;
        float r25459 = r25455 + r25458;
        float r25460 = 3;
        float r25461 = pow(r25434, r25460);
        float r25462 = pow(r25426, r25460);
        float r25463 = r25461 - r25462;
        float r25464 = r25426 * r25426;
        float r25465 = r25434 + r25426;
        float r25466 = r25434 * r25465;
        float r25467 = r25464 + r25466;
        float r25468 = r25463 / r25467;
        float r25469 = cbrt(r25468);
        float r25470 = exp(r25469);
        float r25471 = log(r25470);
        float r25472 = r25437 * r25471;
        float r25473 = r25450 ? r25459 : r25472;
        float r25474 = r25432 ? r25448 : r25473;
        return r25474;
}

double f_od(double x, double n) {
        double r25475 = x;
        double r25476 = log(r25475);
        double r25477 = n;
        double r25478 = r25476 / r25477;
        double r25479 = 1;
        double r25480 = r25479 / r25477;
        double r25481 = pow(r25475, r25480);
        double r25482 = r25478 - r25481;
        double r25483 = r25480 / r25475;
        double r25484 = r25483 + r25479;
        double r25485 = r25482 + r25484;
        double r25486 = -8.801573834002643e-07;
        bool r25487 = r25485 <= r25486;
        double r25488 = r25479 + r25475;
        double r25489 = pow(r25488, r25480);
        double r25490 = r25489 - r25481;
        double r25491 = cbrt(r25490);
        double r25492 = r25491 * r25491;
        double r25493 = exp(r25491);
        double r25494 = cbrt(r25493);
        double r25495 = r25494 * r25494;
        double r25496 = log(r25495);
        double r25497 = cbrt(r25494);
        double r25498 = log(r25497);
        double r25499 = r25497 * r25497;
        double r25500 = log(r25499);
        double r25501 = r25498 + r25500;
        double r25502 = r25496 + r25501;
        double r25503 = r25492 * r25502;
        double r25504 = 4.226585606992127e-96;
        bool r25505 = r25485 <= r25504;
        double r25506 = 1/2;
        double r25507 = r25506 / r25477;
        double r25508 = r25475 * r25475;
        double r25509 = r25507 / r25508;
        double r25510 = r25483 - r25509;
        double r25511 = r25475 * r25477;
        double r25512 = r25511 * r25477;
        double r25513 = r25476 / r25512;
        double r25514 = r25510 + r25513;
        double r25515 = 3;
        double r25516 = pow(r25489, r25515);
        double r25517 = pow(r25481, r25515);
        double r25518 = r25516 - r25517;
        double r25519 = r25481 * r25481;
        double r25520 = r25489 + r25481;
        double r25521 = r25489 * r25520;
        double r25522 = r25519 + r25521;
        double r25523 = r25518 / r25522;
        double r25524 = cbrt(r25523);
        double r25525 = exp(r25524);
        double r25526 = log(r25525);
        double r25527 = r25492 * r25526;
        double r25528 = r25505 ? r25514 : r25527;
        double r25529 = r25487 ? r25503 : r25528;
        return r25529;
}

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 r25530, r25531, r25532, r25533, r25534, r25535, r25536, r25537;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init(r25530);
        mpfr_init_set_str(r25531, "1", 10, MPFR_RNDN);
        mpfr_init(r25532);
        mpfr_init(r25533);
        mpfr_init(r25534);
        mpfr_init(r25535);
        mpfr_init(r25536);
        mpfr_init(r25537);
}

double f_im(double x, double n) {
        mpfr_set_d(r25530, x, MPFR_RNDN);
        ;
        mpfr_add(r25532, r25530, r25531, MPFR_RNDN);
        mpfr_set_d(r25533, n, MPFR_RNDN);
        mpfr_div(r25534, r25531, r25533, MPFR_RNDN);
        mpfr_pow(r25535, r25532, r25534, MPFR_RNDN);
        mpfr_pow(r25536, r25530, r25534, MPFR_RNDN);
        mpfr_sub(r25537, r25535, r25536, MPFR_RNDN);
        return mpfr_get_d(r25537, MPFR_RNDN);
}

static mpfr_t r25538, r25539, r25540, r25541, r25542, r25543, r25544, r25545, r25546, r25547, r25548, r25549, r25550, r25551, r25552, r25553, r25554, r25555, r25556, r25557, r25558, r25559, 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;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r25538);
        mpfr_init(r25539);
        mpfr_init(r25540);
        mpfr_init(r25541);
        mpfr_init_set_str(r25542, "1", 10, MPFR_RNDN);
        mpfr_init(r25543);
        mpfr_init(r25544);
        mpfr_init(r25545);
        mpfr_init(r25546);
        mpfr_init(r25547);
        mpfr_init(r25548);
        mpfr_init_set_str(r25549, "-8.801573834002643e-07", 10, MPFR_RNDN);
        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);
        mpfr_init(r25560);
        mpfr_init(r25561);
        mpfr_init(r25562);
        mpfr_init(r25563);
        mpfr_init(r25564);
        mpfr_init(r25565);
        mpfr_init(r25566);
        mpfr_init_set_str(r25567, "4.226585606992127e-96", 10, MPFR_RNDN);
        mpfr_init(r25568);
        mpfr_init_set_str(r25569, "1/2", 10, MPFR_RNDN);
        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_set_str(r25578, "3", 10, MPFR_RNDN);
        mpfr_init(r25579);
        mpfr_init(r25580);
        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);
}

double f_fm(double x, double n) {
        mpfr_set_d(r25538, x, MPFR_RNDN);
        mpfr_log(r25539, r25538, MPFR_RNDN);
        mpfr_set_d(r25540, n, MPFR_RNDN);
        mpfr_div(r25541, r25539, r25540, MPFR_RNDN);
        ;
        mpfr_div(r25543, r25542, r25540, MPFR_RNDN);
        mpfr_pow(r25544, r25538, r25543, MPFR_RNDN);
        mpfr_sub(r25545, r25541, r25544, MPFR_RNDN);
        mpfr_div(r25546, r25543, r25538, MPFR_RNDN);
        mpfr_add(r25547, r25546, r25542, MPFR_RNDN);
        mpfr_add(r25548, r25545, r25547, MPFR_RNDN);
        ;
        mpfr_set_si(r25550, mpfr_cmp(r25548, r25549) <= 0, MPFR_RNDN);
        mpfr_add(r25551, r25542, r25538, MPFR_RNDN);
        mpfr_pow(r25552, r25551, r25543, MPFR_RNDN);
        mpfr_sub(r25553, r25552, r25544, MPFR_RNDN);
        mpfr_cbrt(r25554, r25553, MPFR_RNDN);
        mpfr_mul(r25555, r25554, r25554, MPFR_RNDN);
        mpfr_exp(r25556, r25554, MPFR_RNDN);
        mpfr_cbrt(r25557, r25556, MPFR_RNDN);
        mpfr_mul(r25558, r25557, r25557, MPFR_RNDN);
        mpfr_log(r25559, r25558, MPFR_RNDN);
        mpfr_cbrt(r25560, r25557, MPFR_RNDN);
        mpfr_log(r25561, r25560, MPFR_RNDN);
        mpfr_mul(r25562, r25560, r25560, MPFR_RNDN);
        mpfr_log(r25563, r25562, MPFR_RNDN);
        mpfr_add(r25564, r25561, r25563, MPFR_RNDN);
        mpfr_add(r25565, r25559, r25564, MPFR_RNDN);
        mpfr_mul(r25566, r25555, r25565, MPFR_RNDN);
        ;
        mpfr_set_si(r25568, mpfr_cmp(r25548, r25567) <= 0, MPFR_RNDN);
        ;
        mpfr_div(r25570, r25569, r25540, MPFR_RNDN);
        mpfr_mul(r25571, r25538, r25538, MPFR_RNDN);
        mpfr_div(r25572, r25570, r25571, MPFR_RNDN);
        mpfr_sub(r25573, r25546, r25572, MPFR_RNDN);
        mpfr_mul(r25574, r25538, r25540, MPFR_RNDN);
        mpfr_mul(r25575, r25574, r25540, MPFR_RNDN);
        mpfr_div(r25576, r25539, r25575, MPFR_RNDN);
        mpfr_add(r25577, r25573, r25576, MPFR_RNDN);
        ;
        mpfr_pow(r25579, r25552, r25578, MPFR_RNDN);
        mpfr_pow(r25580, r25544, r25578, MPFR_RNDN);
        mpfr_sub(r25581, r25579, r25580, MPFR_RNDN);
        mpfr_mul(r25582, r25544, r25544, MPFR_RNDN);
        mpfr_add(r25583, r25552, r25544, MPFR_RNDN);
        mpfr_mul(r25584, r25552, r25583, MPFR_RNDN);
        mpfr_add(r25585, r25582, r25584, MPFR_RNDN);
        mpfr_div(r25586, r25581, r25585, MPFR_RNDN);
        mpfr_cbrt(r25587, r25586, MPFR_RNDN);
        mpfr_exp(r25588, r25587, MPFR_RNDN);
        mpfr_log(r25589, r25588, MPFR_RNDN);
        mpfr_mul(r25590, r25555, r25589, MPFR_RNDN);
        if (mpfr_get_si(r25568, MPFR_RNDN)) { mpfr_set(r25591, r25577, MPFR_RNDN); } else { mpfr_set(r25591, r25590, MPFR_RNDN); };
        if (mpfr_get_si(r25550, MPFR_RNDN)) { mpfr_set(r25592, r25566, MPFR_RNDN); } else { mpfr_set(r25592, r25591, MPFR_RNDN); };
        return mpfr_get_d(r25592, MPFR_RNDN);
}

static mpfr_t r25593, r25594, r25595, r25596, r25597, r25598, r25599, r25600, r25601, r25602, r25603, r25604, r25605, r25606, r25607, r25608, r25609, r25610, r25611, r25612, r25613, r25614, r25615, r25616, r25617, r25618, r25619, r25620, r25621, r25622, r25623, r25624, r25625, r25626, r25627, r25628, r25629, r25630, r25631, r25632, r25633, r25634, r25635, r25636, r25637, r25638, r25639, r25640, r25641, r25642, r25643, r25644, r25645, r25646, r25647;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r25593);
        mpfr_init(r25594);
        mpfr_init(r25595);
        mpfr_init(r25596);
        mpfr_init_set_str(r25597, "1", 10, MPFR_RNDN);
        mpfr_init(r25598);
        mpfr_init(r25599);
        mpfr_init(r25600);
        mpfr_init(r25601);
        mpfr_init(r25602);
        mpfr_init(r25603);
        mpfr_init_set_str(r25604, "-8.801573834002643e-07", 10, MPFR_RNDN);
        mpfr_init(r25605);
        mpfr_init(r25606);
        mpfr_init(r25607);
        mpfr_init(r25608);
        mpfr_init(r25609);
        mpfr_init(r25610);
        mpfr_init(r25611);
        mpfr_init(r25612);
        mpfr_init(r25613);
        mpfr_init(r25614);
        mpfr_init(r25615);
        mpfr_init(r25616);
        mpfr_init(r25617);
        mpfr_init(r25618);
        mpfr_init(r25619);
        mpfr_init(r25620);
        mpfr_init(r25621);
        mpfr_init_set_str(r25622, "4.226585606992127e-96", 10, MPFR_RNDN);
        mpfr_init(r25623);
        mpfr_init_set_str(r25624, "1/2", 10, MPFR_RNDN);
        mpfr_init(r25625);
        mpfr_init(r25626);
        mpfr_init(r25627);
        mpfr_init(r25628);
        mpfr_init(r25629);
        mpfr_init(r25630);
        mpfr_init(r25631);
        mpfr_init(r25632);
        mpfr_init_set_str(r25633, "3", 10, MPFR_RNDN);
        mpfr_init(r25634);
        mpfr_init(r25635);
        mpfr_init(r25636);
        mpfr_init(r25637);
        mpfr_init(r25638);
        mpfr_init(r25639);
        mpfr_init(r25640);
        mpfr_init(r25641);
        mpfr_init(r25642);
        mpfr_init(r25643);
        mpfr_init(r25644);
        mpfr_init(r25645);
        mpfr_init(r25646);
        mpfr_init(r25647);
}

double f_dm(double x, double n) {
        mpfr_set_d(r25593, x, MPFR_RNDN);
        mpfr_log(r25594, r25593, MPFR_RNDN);
        mpfr_set_d(r25595, n, MPFR_RNDN);
        mpfr_div(r25596, r25594, r25595, MPFR_RNDN);
        ;
        mpfr_div(r25598, r25597, r25595, MPFR_RNDN);
        mpfr_pow(r25599, r25593, r25598, MPFR_RNDN);
        mpfr_sub(r25600, r25596, r25599, MPFR_RNDN);
        mpfr_div(r25601, r25598, r25593, MPFR_RNDN);
        mpfr_add(r25602, r25601, r25597, MPFR_RNDN);
        mpfr_add(r25603, r25600, r25602, MPFR_RNDN);
        ;
        mpfr_set_si(r25605, mpfr_cmp(r25603, r25604) <= 0, MPFR_RNDN);
        mpfr_add(r25606, r25597, r25593, MPFR_RNDN);
        mpfr_pow(r25607, r25606, r25598, MPFR_RNDN);
        mpfr_sub(r25608, r25607, r25599, MPFR_RNDN);
        mpfr_cbrt(r25609, r25608, MPFR_RNDN);
        mpfr_mul(r25610, r25609, r25609, MPFR_RNDN);
        mpfr_exp(r25611, r25609, MPFR_RNDN);
        mpfr_cbrt(r25612, r25611, MPFR_RNDN);
        mpfr_mul(r25613, r25612, r25612, MPFR_RNDN);
        mpfr_log(r25614, r25613, MPFR_RNDN);
        mpfr_cbrt(r25615, r25612, MPFR_RNDN);
        mpfr_log(r25616, r25615, MPFR_RNDN);
        mpfr_mul(r25617, r25615, r25615, MPFR_RNDN);
        mpfr_log(r25618, r25617, MPFR_RNDN);
        mpfr_add(r25619, r25616, r25618, MPFR_RNDN);
        mpfr_add(r25620, r25614, r25619, MPFR_RNDN);
        mpfr_mul(r25621, r25610, r25620, MPFR_RNDN);
        ;
        mpfr_set_si(r25623, mpfr_cmp(r25603, r25622) <= 0, MPFR_RNDN);
        ;
        mpfr_div(r25625, r25624, r25595, MPFR_RNDN);
        mpfr_mul(r25626, r25593, r25593, MPFR_RNDN);
        mpfr_div(r25627, r25625, r25626, MPFR_RNDN);
        mpfr_sub(r25628, r25601, r25627, MPFR_RNDN);
        mpfr_mul(r25629, r25593, r25595, MPFR_RNDN);
        mpfr_mul(r25630, r25629, r25595, MPFR_RNDN);
        mpfr_div(r25631, r25594, r25630, MPFR_RNDN);
        mpfr_add(r25632, r25628, r25631, MPFR_RNDN);
        ;
        mpfr_pow(r25634, r25607, r25633, MPFR_RNDN);
        mpfr_pow(r25635, r25599, r25633, MPFR_RNDN);
        mpfr_sub(r25636, r25634, r25635, MPFR_RNDN);
        mpfr_mul(r25637, r25599, r25599, MPFR_RNDN);
        mpfr_add(r25638, r25607, r25599, MPFR_RNDN);
        mpfr_mul(r25639, r25607, r25638, MPFR_RNDN);
        mpfr_add(r25640, r25637, r25639, MPFR_RNDN);
        mpfr_div(r25641, r25636, r25640, MPFR_RNDN);
        mpfr_cbrt(r25642, r25641, MPFR_RNDN);
        mpfr_exp(r25643, r25642, MPFR_RNDN);
        mpfr_log(r25644, r25643, MPFR_RNDN);
        mpfr_mul(r25645, r25610, r25644, MPFR_RNDN);
        if (mpfr_get_si(r25623, MPFR_RNDN)) { mpfr_set(r25646, r25632, MPFR_RNDN); } else { mpfr_set(r25646, r25645, MPFR_RNDN); };
        if (mpfr_get_si(r25605, MPFR_RNDN)) { mpfr_set(r25647, r25621, MPFR_RNDN); } else { mpfr_set(r25647, r25646, MPFR_RNDN); };
        return mpfr_get_d(r25647, MPFR_RNDN);
}