#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 r25440 = x;
        float r25441 = 1;
        float r25442 = r25440 + r25441;
        float r25443 = n;
        float r25444 = r25441 / r25443;
        float r25445 = pow(r25442, r25444);
        float r25446 = pow(r25440, r25444);
        float r25447 = r25445 - r25446;
        return r25447;
}

double f_id(double x, double n) {
        double r25448 = x;
        double r25449 = 1;
        double r25450 = r25448 + r25449;
        double r25451 = n;
        double r25452 = r25449 / r25451;
        double r25453 = pow(r25450, r25452);
        double r25454 = pow(r25448, r25452);
        double r25455 = r25453 - r25454;
        return r25455;
}


double f_of(float x, float n) {
        float r25456 = 1;
        float r25457 = x;
        float r25458 = n;
        float r25459 = r25457 * r25458;
        float r25460 = r25456 / r25459;
        float r25461 = 1/2;
        float r25462 = r25461 / r25457;
        float r25463 = r25462 / r25459;
        float r25464 = r25460 - r25463;
        float r25465 = log(r25457);
        float r25466 = r25458 * r25458;
        float r25467 = r25466 * r25457;
        float r25468 = r25465 / r25467;
        float r25469 = r25464 + r25468;
        float r25470 = -1.0343690250885731e-119;
        bool r25471 = r25469 <= r25470;
        float r25472 = r25456 + r25457;
        float r25473 = r25456 / r25458;
        float r25474 = pow(r25472, r25473);
        float r25475 = r25474 - r25456;
        float r25476 = r25461 / r25458;
        float r25477 = r25465 * r25476;
        float r25478 = r25458 / r25465;
        float r25479 = r25477 / r25478;
        float r25480 = r25475 - r25479;
        float r25481 = r25465 / r25458;
        float r25482 = r25480 - r25481;
        float r25483 = 1.1420633936606198e-112;
        bool r25484 = r25469 <= r25483;
        float r25485 = r25473 / r25457;
        float r25486 = r25457 * r25457;
        float r25487 = r25476 / r25486;
        float r25488 = r25485 - r25487;
        float r25489 = r25458 * r25457;
        float r25490 = r25489 * r25458;
        float r25491 = r25465 / r25490;
        float r25492 = r25488 + r25491;
        float r25493 = 3.324446391499883e-37;
        bool r25494 = r25469 <= r25493;
        float r25495 = r25457 + r25456;
        float r25496 = pow(r25495, r25473);
        float r25497 = cbrt(r25496);
        float r25498 = r25497 * r25497;
        float r25499 = r25498 * r25497;
        float r25500 = pow(r25457, r25473);
        float r25501 = r25499 - r25500;
        float r25502 = 8.838436676582451e+281;
        bool r25503 = r25469 <= r25502;
        float r25504 = r25503 ? r25482 : r25501;
        float r25505 = r25494 ? r25501 : r25504;
        float r25506 = r25484 ? r25492 : r25505;
        float r25507 = r25471 ? r25482 : r25506;
        return r25507;
}

double f_od(double x, double n) {
        double r25508 = 1;
        double r25509 = x;
        double r25510 = n;
        double r25511 = r25509 * r25510;
        double r25512 = r25508 / r25511;
        double r25513 = 1/2;
        double r25514 = r25513 / r25509;
        double r25515 = r25514 / r25511;
        double r25516 = r25512 - r25515;
        double r25517 = log(r25509);
        double r25518 = r25510 * r25510;
        double r25519 = r25518 * r25509;
        double r25520 = r25517 / r25519;
        double r25521 = r25516 + r25520;
        double r25522 = -1.0343690250885731e-119;
        bool r25523 = r25521 <= r25522;
        double r25524 = r25508 + r25509;
        double r25525 = r25508 / r25510;
        double r25526 = pow(r25524, r25525);
        double r25527 = r25526 - r25508;
        double r25528 = r25513 / r25510;
        double r25529 = r25517 * r25528;
        double r25530 = r25510 / r25517;
        double r25531 = r25529 / r25530;
        double r25532 = r25527 - r25531;
        double r25533 = r25517 / r25510;
        double r25534 = r25532 - r25533;
        double r25535 = 1.1420633936606198e-112;
        bool r25536 = r25521 <= r25535;
        double r25537 = r25525 / r25509;
        double r25538 = r25509 * r25509;
        double r25539 = r25528 / r25538;
        double r25540 = r25537 - r25539;
        double r25541 = r25510 * r25509;
        double r25542 = r25541 * r25510;
        double r25543 = r25517 / r25542;
        double r25544 = r25540 + r25543;
        double r25545 = 3.324446391499883e-37;
        bool r25546 = r25521 <= r25545;
        double r25547 = r25509 + r25508;
        double r25548 = pow(r25547, r25525);
        double r25549 = cbrt(r25548);
        double r25550 = r25549 * r25549;
        double r25551 = r25550 * r25549;
        double r25552 = pow(r25509, r25525);
        double r25553 = r25551 - r25552;
        double r25554 = 8.838436676582451e+281;
        bool r25555 = r25521 <= r25554;
        double r25556 = r25555 ? r25534 : r25553;
        double r25557 = r25546 ? r25553 : r25556;
        double r25558 = r25536 ? r25544 : r25557;
        double r25559 = r25523 ? r25534 : r25558;
        return r25559;
}

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 r25560, r25561, r25562, r25563, r25564, r25565, r25566, r25567;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init(r25560);
        mpfr_init_set_str(r25561, "1", 10, MPFR_RNDN);
        mpfr_init(r25562);
        mpfr_init(r25563);
        mpfr_init(r25564);
        mpfr_init(r25565);
        mpfr_init(r25566);
        mpfr_init(r25567);
}

double f_im(double x, double n) {
        mpfr_set_d(r25560, x, MPFR_RNDN);
        ;
        mpfr_add(r25562, r25560, r25561, MPFR_RNDN);
        mpfr_set_d(r25563, n, MPFR_RNDN);
        mpfr_div(r25564, r25561, r25563, MPFR_RNDN);
        mpfr_pow(r25565, r25562, r25564, MPFR_RNDN);
        mpfr_pow(r25566, r25560, r25564, MPFR_RNDN);
        mpfr_sub(r25567, r25565, r25566, MPFR_RNDN);
        return mpfr_get_d(r25567, MPFR_RNDN);
}

static mpfr_t 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, 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;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init_set_str(r25568, "1", 10, MPFR_RNDN);
        mpfr_init(r25569);
        mpfr_init(r25570);
        mpfr_init(r25571);
        mpfr_init(r25572);
        mpfr_init_set_str(r25573, "1/2", 10, MPFR_RNDN);
        mpfr_init(r25574);
        mpfr_init(r25575);
        mpfr_init(r25576);
        mpfr_init(r25577);
        mpfr_init(r25578);
        mpfr_init(r25579);
        mpfr_init(r25580);
        mpfr_init(r25581);
        mpfr_init_set_str(r25582, "-1.0343690250885731e-119", 10, MPFR_RNDN);
        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);
        mpfr_init(r25594);
        mpfr_init_set_str(r25595, "1.1420633936606198e-112", 10, MPFR_RNDN);
        mpfr_init(r25596);
        mpfr_init(r25597);
        mpfr_init(r25598);
        mpfr_init(r25599);
        mpfr_init(r25600);
        mpfr_init(r25601);
        mpfr_init(r25602);
        mpfr_init(r25603);
        mpfr_init(r25604);
        mpfr_init_set_str(r25605, "3.324446391499883e-37", 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);
        mpfr_init_set_str(r25614, "8.838436676582451e+281", 10, MPFR_RNDN);
        mpfr_init(r25615);
        mpfr_init(r25616);
        mpfr_init(r25617);
        mpfr_init(r25618);
        mpfr_init(r25619);
}

double f_fm(double x, double n) {
        ;
        mpfr_set_d(r25569, x, MPFR_RNDN);
        mpfr_set_d(r25570, n, MPFR_RNDN);
        mpfr_mul(r25571, r25569, r25570, MPFR_RNDN);
        mpfr_div(r25572, r25568, r25571, MPFR_RNDN);
        ;
        mpfr_div(r25574, r25573, r25569, MPFR_RNDN);
        mpfr_div(r25575, r25574, r25571, MPFR_RNDN);
        mpfr_sub(r25576, r25572, r25575, MPFR_RNDN);
        mpfr_log(r25577, r25569, MPFR_RNDN);
        mpfr_mul(r25578, r25570, r25570, MPFR_RNDN);
        mpfr_mul(r25579, r25578, r25569, MPFR_RNDN);
        mpfr_div(r25580, r25577, r25579, MPFR_RNDN);
        mpfr_add(r25581, r25576, r25580, MPFR_RNDN);
        ;
        mpfr_set_si(r25583, mpfr_cmp(r25581, r25582) <= 0, MPFR_RNDN);
        mpfr_add(r25584, r25568, r25569, MPFR_RNDN);
        mpfr_div(r25585, r25568, r25570, MPFR_RNDN);
        mpfr_pow(r25586, r25584, r25585, MPFR_RNDN);
        mpfr_sub(r25587, r25586, r25568, MPFR_RNDN);
        mpfr_div(r25588, r25573, r25570, MPFR_RNDN);
        mpfr_mul(r25589, r25577, r25588, MPFR_RNDN);
        mpfr_div(r25590, r25570, r25577, MPFR_RNDN);
        mpfr_div(r25591, r25589, r25590, MPFR_RNDN);
        mpfr_sub(r25592, r25587, r25591, MPFR_RNDN);
        mpfr_div(r25593, r25577, r25570, MPFR_RNDN);
        mpfr_sub(r25594, r25592, r25593, MPFR_RNDN);
        ;
        mpfr_set_si(r25596, mpfr_cmp(r25581, r25595) <= 0, MPFR_RNDN);
        mpfr_div(r25597, r25585, r25569, MPFR_RNDN);
        mpfr_mul(r25598, r25569, r25569, MPFR_RNDN);
        mpfr_div(r25599, r25588, r25598, MPFR_RNDN);
        mpfr_sub(r25600, r25597, r25599, MPFR_RNDN);
        mpfr_mul(r25601, r25570, r25569, MPFR_RNDN);
        mpfr_mul(r25602, r25601, r25570, MPFR_RNDN);
        mpfr_div(r25603, r25577, r25602, MPFR_RNDN);
        mpfr_add(r25604, r25600, r25603, MPFR_RNDN);
        ;
        mpfr_set_si(r25606, mpfr_cmp(r25581, r25605) <= 0, MPFR_RNDN);
        mpfr_add(r25607, r25569, r25568, MPFR_RNDN);
        mpfr_pow(r25608, r25607, r25585, MPFR_RNDN);
        mpfr_cbrt(r25609, r25608, MPFR_RNDN);
        mpfr_mul(r25610, r25609, r25609, MPFR_RNDN);
        mpfr_mul(r25611, r25610, r25609, MPFR_RNDN);
        mpfr_pow(r25612, r25569, r25585, MPFR_RNDN);
        mpfr_sub(r25613, r25611, r25612, MPFR_RNDN);
        ;
        mpfr_set_si(r25615, mpfr_cmp(r25581, r25614) <= 0, MPFR_RNDN);
        if (mpfr_get_si(r25615, MPFR_RNDN)) { mpfr_set(r25616, r25594, MPFR_RNDN); } else { mpfr_set(r25616, r25613, MPFR_RNDN); };
        if (mpfr_get_si(r25606, MPFR_RNDN)) { mpfr_set(r25617, r25613, MPFR_RNDN); } else { mpfr_set(r25617, r25616, MPFR_RNDN); };
        if (mpfr_get_si(r25596, MPFR_RNDN)) { mpfr_set(r25618, r25604, MPFR_RNDN); } else { mpfr_set(r25618, r25617, MPFR_RNDN); };
        if (mpfr_get_si(r25583, MPFR_RNDN)) { mpfr_set(r25619, r25594, MPFR_RNDN); } else { mpfr_set(r25619, r25618, MPFR_RNDN); };
        return mpfr_get_d(r25619, MPFR_RNDN);
}

static mpfr_t 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, r25648, r25649, r25650, r25651, r25652, r25653, r25654, r25655, r25656, r25657, r25658, r25659, r25660, r25661, r25662, r25663, r25664, r25665, r25666, r25667, r25668, r25669, r25670, r25671;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init_set_str(r25620, "1", 10, MPFR_RNDN);
        mpfr_init(r25621);
        mpfr_init(r25622);
        mpfr_init(r25623);
        mpfr_init(r25624);
        mpfr_init_set_str(r25625, "1/2", 10, MPFR_RNDN);
        mpfr_init(r25626);
        mpfr_init(r25627);
        mpfr_init(r25628);
        mpfr_init(r25629);
        mpfr_init(r25630);
        mpfr_init(r25631);
        mpfr_init(r25632);
        mpfr_init(r25633);
        mpfr_init_set_str(r25634, "-1.0343690250885731e-119", 10, MPFR_RNDN);
        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_set_str(r25647, "1.1420633936606198e-112", 10, MPFR_RNDN);
        mpfr_init(r25648);
        mpfr_init(r25649);
        mpfr_init(r25650);
        mpfr_init(r25651);
        mpfr_init(r25652);
        mpfr_init(r25653);
        mpfr_init(r25654);
        mpfr_init(r25655);
        mpfr_init(r25656);
        mpfr_init_set_str(r25657, "3.324446391499883e-37", 10, MPFR_RNDN);
        mpfr_init(r25658);
        mpfr_init(r25659);
        mpfr_init(r25660);
        mpfr_init(r25661);
        mpfr_init(r25662);
        mpfr_init(r25663);
        mpfr_init(r25664);
        mpfr_init(r25665);
        mpfr_init_set_str(r25666, "8.838436676582451e+281", 10, MPFR_RNDN);
        mpfr_init(r25667);
        mpfr_init(r25668);
        mpfr_init(r25669);
        mpfr_init(r25670);
        mpfr_init(r25671);
}

double f_dm(double x, double n) {
        ;
        mpfr_set_d(r25621, x, MPFR_RNDN);
        mpfr_set_d(r25622, n, MPFR_RNDN);
        mpfr_mul(r25623, r25621, r25622, MPFR_RNDN);
        mpfr_div(r25624, r25620, r25623, MPFR_RNDN);
        ;
        mpfr_div(r25626, r25625, r25621, MPFR_RNDN);
        mpfr_div(r25627, r25626, r25623, MPFR_RNDN);
        mpfr_sub(r25628, r25624, r25627, MPFR_RNDN);
        mpfr_log(r25629, r25621, MPFR_RNDN);
        mpfr_mul(r25630, r25622, r25622, MPFR_RNDN);
        mpfr_mul(r25631, r25630, r25621, MPFR_RNDN);
        mpfr_div(r25632, r25629, r25631, MPFR_RNDN);
        mpfr_add(r25633, r25628, r25632, MPFR_RNDN);
        ;
        mpfr_set_si(r25635, mpfr_cmp(r25633, r25634) <= 0, MPFR_RNDN);
        mpfr_add(r25636, r25620, r25621, MPFR_RNDN);
        mpfr_div(r25637, r25620, r25622, MPFR_RNDN);
        mpfr_pow(r25638, r25636, r25637, MPFR_RNDN);
        mpfr_sub(r25639, r25638, r25620, MPFR_RNDN);
        mpfr_div(r25640, r25625, r25622, MPFR_RNDN);
        mpfr_mul(r25641, r25629, r25640, MPFR_RNDN);
        mpfr_div(r25642, r25622, r25629, MPFR_RNDN);
        mpfr_div(r25643, r25641, r25642, MPFR_RNDN);
        mpfr_sub(r25644, r25639, r25643, MPFR_RNDN);
        mpfr_div(r25645, r25629, r25622, MPFR_RNDN);
        mpfr_sub(r25646, r25644, r25645, MPFR_RNDN);
        ;
        mpfr_set_si(r25648, mpfr_cmp(r25633, r25647) <= 0, MPFR_RNDN);
        mpfr_div(r25649, r25637, r25621, MPFR_RNDN);
        mpfr_mul(r25650, r25621, r25621, MPFR_RNDN);
        mpfr_div(r25651, r25640, r25650, MPFR_RNDN);
        mpfr_sub(r25652, r25649, r25651, MPFR_RNDN);
        mpfr_mul(r25653, r25622, r25621, MPFR_RNDN);
        mpfr_mul(r25654, r25653, r25622, MPFR_RNDN);
        mpfr_div(r25655, r25629, r25654, MPFR_RNDN);
        mpfr_add(r25656, r25652, r25655, MPFR_RNDN);
        ;
        mpfr_set_si(r25658, mpfr_cmp(r25633, r25657) <= 0, MPFR_RNDN);
        mpfr_add(r25659, r25621, r25620, MPFR_RNDN);
        mpfr_pow(r25660, r25659, r25637, MPFR_RNDN);
        mpfr_cbrt(r25661, r25660, MPFR_RNDN);
        mpfr_mul(r25662, r25661, r25661, MPFR_RNDN);
        mpfr_mul(r25663, r25662, r25661, MPFR_RNDN);
        mpfr_pow(r25664, r25621, r25637, MPFR_RNDN);
        mpfr_sub(r25665, r25663, r25664, MPFR_RNDN);
        ;
        mpfr_set_si(r25667, mpfr_cmp(r25633, r25666) <= 0, MPFR_RNDN);
        if (mpfr_get_si(r25667, MPFR_RNDN)) { mpfr_set(r25668, r25646, MPFR_RNDN); } else { mpfr_set(r25668, r25665, MPFR_RNDN); };
        if (mpfr_get_si(r25658, MPFR_RNDN)) { mpfr_set(r25669, r25665, MPFR_RNDN); } else { mpfr_set(r25669, r25668, MPFR_RNDN); };
        if (mpfr_get_si(r25648, MPFR_RNDN)) { mpfr_set(r25670, r25656, MPFR_RNDN); } else { mpfr_set(r25670, r25669, MPFR_RNDN); };
        if (mpfr_get_si(r25635, MPFR_RNDN)) { mpfr_set(r25671, r25646, MPFR_RNDN); } else { mpfr_set(r25671, r25670, MPFR_RNDN); };
        return mpfr_get_d(r25671, MPFR_RNDN);
}