#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 r25368 = x;
        float r25369 = 1;
        float r25370 = r25368 + r25369;
        float r25371 = n;
        float r25372 = r25369 / r25371;
        float r25373 = pow(r25370, r25372);
        float r25374 = pow(r25368, r25372);
        float r25375 = r25373 - r25374;
        return r25375;
}

double f_id(double x, double n) {
        double r25376 = x;
        double r25377 = 1;
        double r25378 = r25376 + r25377;
        double r25379 = n;
        double r25380 = r25377 / r25379;
        double r25381 = pow(r25378, r25380);
        double r25382 = pow(r25376, r25380);
        double r25383 = r25381 - r25382;
        return r25383;
}


double f_of(float x, float n) {
        float r25384 = 1;
        float r25385 = n;
        float r25386 = r25384 / r25385;
        float r25387 = x;
        float r25388 = r25386 / r25387;
        float r25389 = 1/2;
        float r25390 = r25389 / r25385;
        float r25391 = r25387 * r25387;
        float r25392 = r25390 / r25391;
        float r25393 = r25388 - r25392;
        float r25394 = log(r25387);
        float r25395 = r25385 * r25387;
        float r25396 = r25395 * r25385;
        float r25397 = r25394 / r25396;
        float r25398 = exp(r25397);
        float r25399 = log(r25398);
        float r25400 = r25393 + r25399;
        float r25401 = -1.9754328566025774e-47;
        bool r25402 = r25400 <= r25401;
        float r25403 = r25384 + r25387;
        float r25404 = pow(r25403, r25386);
        float r25405 = r25404 - r25384;
        float r25406 = r25394 * r25390;
        float r25407 = r25385 / r25394;
        float r25408 = r25406 / r25407;
        float r25409 = r25405 - r25408;
        float r25410 = r25394 / r25385;
        float r25411 = r25409 - r25410;
        float r25412 = 1.719907223203847e-145;
        bool r25413 = r25400 <= r25412;
        float r25414 = r25384 / r25387;
        float r25415 = r25414 / r25385;
        float r25416 = r25415 - r25392;
        float r25417 = r25394 / r25387;
        float r25418 = r25385 * r25385;
        float r25419 = r25417 / r25418;
        float r25420 = r25416 + r25419;
        float r25421 = 1.2484666522461057e+150;
        bool r25422 = r25400 <= r25421;
        float r25423 = 3;
        float r25424 = pow(r25404, r25423);
        float r25425 = cbrt(r25424);
        float r25426 = pow(r25387, r25386);
        float r25427 = r25425 - r25426;
        float r25428 = r25422 ? r25411 : r25427;
        float r25429 = r25413 ? r25420 : r25428;
        float r25430 = r25402 ? r25411 : r25429;
        return r25430;
}

double f_od(double x, double n) {
        double r25431 = 1;
        double r25432 = n;
        double r25433 = r25431 / r25432;
        double r25434 = x;
        double r25435 = r25433 / r25434;
        double r25436 = 1/2;
        double r25437 = r25436 / r25432;
        double r25438 = r25434 * r25434;
        double r25439 = r25437 / r25438;
        double r25440 = r25435 - r25439;
        double r25441 = log(r25434);
        double r25442 = r25432 * r25434;
        double r25443 = r25442 * r25432;
        double r25444 = r25441 / r25443;
        double r25445 = exp(r25444);
        double r25446 = log(r25445);
        double r25447 = r25440 + r25446;
        double r25448 = -1.9754328566025774e-47;
        bool r25449 = r25447 <= r25448;
        double r25450 = r25431 + r25434;
        double r25451 = pow(r25450, r25433);
        double r25452 = r25451 - r25431;
        double r25453 = r25441 * r25437;
        double r25454 = r25432 / r25441;
        double r25455 = r25453 / r25454;
        double r25456 = r25452 - r25455;
        double r25457 = r25441 / r25432;
        double r25458 = r25456 - r25457;
        double r25459 = 1.719907223203847e-145;
        bool r25460 = r25447 <= r25459;
        double r25461 = r25431 / r25434;
        double r25462 = r25461 / r25432;
        double r25463 = r25462 - r25439;
        double r25464 = r25441 / r25434;
        double r25465 = r25432 * r25432;
        double r25466 = r25464 / r25465;
        double r25467 = r25463 + r25466;
        double r25468 = 1.2484666522461057e+150;
        bool r25469 = r25447 <= r25468;
        double r25470 = 3;
        double r25471 = pow(r25451, r25470);
        double r25472 = cbrt(r25471);
        double r25473 = pow(r25434, r25433);
        double r25474 = r25472 - r25473;
        double r25475 = r25469 ? r25458 : r25474;
        double r25476 = r25460 ? r25467 : r25475;
        double r25477 = r25449 ? r25458 : r25476;
        return r25477;
}

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 r25478, r25479, r25480, r25481, r25482, r25483, r25484, r25485;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init(r25478);
        mpfr_init_set_str(r25479, "1", 10, MPFR_RNDN);
        mpfr_init(r25480);
        mpfr_init(r25481);
        mpfr_init(r25482);
        mpfr_init(r25483);
        mpfr_init(r25484);
        mpfr_init(r25485);
}

double f_im(double x, double n) {
        mpfr_set_d(r25478, x, MPFR_RNDN);
        ;
        mpfr_add(r25480, r25478, r25479, MPFR_RNDN);
        mpfr_set_d(r25481, n, MPFR_RNDN);
        mpfr_div(r25482, r25479, r25481, MPFR_RNDN);
        mpfr_pow(r25483, r25480, r25482, MPFR_RNDN);
        mpfr_pow(r25484, r25478, r25482, MPFR_RNDN);
        mpfr_sub(r25485, r25483, r25484, MPFR_RNDN);
        return mpfr_get_d(r25485, MPFR_RNDN);
}

static mpfr_t r25486, r25487, r25488, r25489, r25490, r25491, r25492, r25493, r25494, r25495, r25496, r25497, r25498, r25499, r25500, r25501, r25502, r25503, r25504, r25505, r25506, r25507, r25508, r25509, r25510, r25511, r25512, r25513, r25514, r25515, r25516, r25517, r25518, r25519, r25520, r25521, r25522, r25523, r25524, r25525, r25526, r25527, r25528, r25529, r25530, r25531, r25532;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init_set_str(r25486, "1", 10, MPFR_RNDN);
        mpfr_init(r25487);
        mpfr_init(r25488);
        mpfr_init(r25489);
        mpfr_init(r25490);
        mpfr_init_set_str(r25491, "1/2", 10, MPFR_RNDN);
        mpfr_init(r25492);
        mpfr_init(r25493);
        mpfr_init(r25494);
        mpfr_init(r25495);
        mpfr_init(r25496);
        mpfr_init(r25497);
        mpfr_init(r25498);
        mpfr_init(r25499);
        mpfr_init(r25500);
        mpfr_init(r25501);
        mpfr_init(r25502);
        mpfr_init_set_str(r25503, "-1.9754328566025774e-47", 10, MPFR_RNDN);
        mpfr_init(r25504);
        mpfr_init(r25505);
        mpfr_init(r25506);
        mpfr_init(r25507);
        mpfr_init(r25508);
        mpfr_init(r25509);
        mpfr_init(r25510);
        mpfr_init(r25511);
        mpfr_init(r25512);
        mpfr_init(r25513);
        mpfr_init_set_str(r25514, "1.719907223203847e-145", 10, MPFR_RNDN);
        mpfr_init(r25515);
        mpfr_init(r25516);
        mpfr_init(r25517);
        mpfr_init(r25518);
        mpfr_init(r25519);
        mpfr_init(r25520);
        mpfr_init(r25521);
        mpfr_init(r25522);
        mpfr_init_set_str(r25523, "1.2484666522461057e+150", 10, MPFR_RNDN);
        mpfr_init(r25524);
        mpfr_init_set_str(r25525, "3", 10, MPFR_RNDN);
        mpfr_init(r25526);
        mpfr_init(r25527);
        mpfr_init(r25528);
        mpfr_init(r25529);
        mpfr_init(r25530);
        mpfr_init(r25531);
        mpfr_init(r25532);
}

double f_fm(double x, double n) {
        ;
        mpfr_set_d(r25487, n, MPFR_RNDN);
        mpfr_div(r25488, r25486, r25487, MPFR_RNDN);
        mpfr_set_d(r25489, x, MPFR_RNDN);
        mpfr_div(r25490, r25488, r25489, MPFR_RNDN);
        ;
        mpfr_div(r25492, r25491, r25487, MPFR_RNDN);
        mpfr_mul(r25493, r25489, r25489, MPFR_RNDN);
        mpfr_div(r25494, r25492, r25493, MPFR_RNDN);
        mpfr_sub(r25495, r25490, r25494, MPFR_RNDN);
        mpfr_log(r25496, r25489, MPFR_RNDN);
        mpfr_mul(r25497, r25487, r25489, MPFR_RNDN);
        mpfr_mul(r25498, r25497, r25487, MPFR_RNDN);
        mpfr_div(r25499, r25496, r25498, MPFR_RNDN);
        mpfr_exp(r25500, r25499, MPFR_RNDN);
        mpfr_log(r25501, r25500, MPFR_RNDN);
        mpfr_add(r25502, r25495, r25501, MPFR_RNDN);
        ;
        mpfr_set_si(r25504, mpfr_cmp(r25502, r25503) <= 0, MPFR_RNDN);
        mpfr_add(r25505, r25486, r25489, MPFR_RNDN);
        mpfr_pow(r25506, r25505, r25488, MPFR_RNDN);
        mpfr_sub(r25507, r25506, r25486, MPFR_RNDN);
        mpfr_mul(r25508, r25496, r25492, MPFR_RNDN);
        mpfr_div(r25509, r25487, r25496, MPFR_RNDN);
        mpfr_div(r25510, r25508, r25509, MPFR_RNDN);
        mpfr_sub(r25511, r25507, r25510, MPFR_RNDN);
        mpfr_div(r25512, r25496, r25487, MPFR_RNDN);
        mpfr_sub(r25513, r25511, r25512, MPFR_RNDN);
        ;
        mpfr_set_si(r25515, mpfr_cmp(r25502, r25514) <= 0, MPFR_RNDN);
        mpfr_div(r25516, r25486, r25489, MPFR_RNDN);
        mpfr_div(r25517, r25516, r25487, MPFR_RNDN);
        mpfr_sub(r25518, r25517, r25494, MPFR_RNDN);
        mpfr_div(r25519, r25496, r25489, MPFR_RNDN);
        mpfr_mul(r25520, r25487, r25487, MPFR_RNDN);
        mpfr_div(r25521, r25519, r25520, MPFR_RNDN);
        mpfr_add(r25522, r25518, r25521, MPFR_RNDN);
        ;
        mpfr_set_si(r25524, mpfr_cmp(r25502, r25523) <= 0, MPFR_RNDN);
        ;
        mpfr_pow(r25526, r25506, r25525, MPFR_RNDN);
        mpfr_cbrt(r25527, r25526, MPFR_RNDN);
        mpfr_pow(r25528, r25489, r25488, MPFR_RNDN);
        mpfr_sub(r25529, r25527, r25528, MPFR_RNDN);
        if (mpfr_get_si(r25524, MPFR_RNDN)) { mpfr_set(r25530, r25513, MPFR_RNDN); } else { mpfr_set(r25530, r25529, MPFR_RNDN); };
        if (mpfr_get_si(r25515, MPFR_RNDN)) { mpfr_set(r25531, r25522, MPFR_RNDN); } else { mpfr_set(r25531, r25530, MPFR_RNDN); };
        if (mpfr_get_si(r25504, MPFR_RNDN)) { mpfr_set(r25532, r25513, MPFR_RNDN); } else { mpfr_set(r25532, r25531, MPFR_RNDN); };
        return mpfr_get_d(r25532, MPFR_RNDN);
}

static mpfr_t 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, r25560, r25561, r25562, r25563, r25564, r25565, r25566, r25567, r25568, r25569, r25570, r25571, r25572, r25573, r25574, r25575, r25576, r25577, r25578, r25579;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init_set_str(r25533, "1", 10, MPFR_RNDN);
        mpfr_init(r25534);
        mpfr_init(r25535);
        mpfr_init(r25536);
        mpfr_init(r25537);
        mpfr_init_set_str(r25538, "1/2", 10, MPFR_RNDN);
        mpfr_init(r25539);
        mpfr_init(r25540);
        mpfr_init(r25541);
        mpfr_init(r25542);
        mpfr_init(r25543);
        mpfr_init(r25544);
        mpfr_init(r25545);
        mpfr_init(r25546);
        mpfr_init(r25547);
        mpfr_init(r25548);
        mpfr_init(r25549);
        mpfr_init_set_str(r25550, "-1.9754328566025774e-47", 10, MPFR_RNDN);
        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_set_str(r25561, "1.719907223203847e-145", 10, MPFR_RNDN);
        mpfr_init(r25562);
        mpfr_init(r25563);
        mpfr_init(r25564);
        mpfr_init(r25565);
        mpfr_init(r25566);
        mpfr_init(r25567);
        mpfr_init(r25568);
        mpfr_init(r25569);
        mpfr_init_set_str(r25570, "1.2484666522461057e+150", 10, MPFR_RNDN);
        mpfr_init(r25571);
        mpfr_init_set_str(r25572, "3", 10, MPFR_RNDN);
        mpfr_init(r25573);
        mpfr_init(r25574);
        mpfr_init(r25575);
        mpfr_init(r25576);
        mpfr_init(r25577);
        mpfr_init(r25578);
        mpfr_init(r25579);
}

double f_dm(double x, double n) {
        ;
        mpfr_set_d(r25534, n, MPFR_RNDN);
        mpfr_div(r25535, r25533, r25534, MPFR_RNDN);
        mpfr_set_d(r25536, x, MPFR_RNDN);
        mpfr_div(r25537, r25535, r25536, MPFR_RNDN);
        ;
        mpfr_div(r25539, r25538, r25534, MPFR_RNDN);
        mpfr_mul(r25540, r25536, r25536, MPFR_RNDN);
        mpfr_div(r25541, r25539, r25540, MPFR_RNDN);
        mpfr_sub(r25542, r25537, r25541, MPFR_RNDN);
        mpfr_log(r25543, r25536, MPFR_RNDN);
        mpfr_mul(r25544, r25534, r25536, MPFR_RNDN);
        mpfr_mul(r25545, r25544, r25534, MPFR_RNDN);
        mpfr_div(r25546, r25543, r25545, MPFR_RNDN);
        mpfr_exp(r25547, r25546, MPFR_RNDN);
        mpfr_log(r25548, r25547, MPFR_RNDN);
        mpfr_add(r25549, r25542, r25548, MPFR_RNDN);
        ;
        mpfr_set_si(r25551, mpfr_cmp(r25549, r25550) <= 0, MPFR_RNDN);
        mpfr_add(r25552, r25533, r25536, MPFR_RNDN);
        mpfr_pow(r25553, r25552, r25535, MPFR_RNDN);
        mpfr_sub(r25554, r25553, r25533, MPFR_RNDN);
        mpfr_mul(r25555, r25543, r25539, MPFR_RNDN);
        mpfr_div(r25556, r25534, r25543, MPFR_RNDN);
        mpfr_div(r25557, r25555, r25556, MPFR_RNDN);
        mpfr_sub(r25558, r25554, r25557, MPFR_RNDN);
        mpfr_div(r25559, r25543, r25534, MPFR_RNDN);
        mpfr_sub(r25560, r25558, r25559, MPFR_RNDN);
        ;
        mpfr_set_si(r25562, mpfr_cmp(r25549, r25561) <= 0, MPFR_RNDN);
        mpfr_div(r25563, r25533, r25536, MPFR_RNDN);
        mpfr_div(r25564, r25563, r25534, MPFR_RNDN);
        mpfr_sub(r25565, r25564, r25541, MPFR_RNDN);
        mpfr_div(r25566, r25543, r25536, MPFR_RNDN);
        mpfr_mul(r25567, r25534, r25534, MPFR_RNDN);
        mpfr_div(r25568, r25566, r25567, MPFR_RNDN);
        mpfr_add(r25569, r25565, r25568, MPFR_RNDN);
        ;
        mpfr_set_si(r25571, mpfr_cmp(r25549, r25570) <= 0, MPFR_RNDN);
        ;
        mpfr_pow(r25573, r25553, r25572, MPFR_RNDN);
        mpfr_cbrt(r25574, r25573, MPFR_RNDN);
        mpfr_pow(r25575, r25536, r25535, MPFR_RNDN);
        mpfr_sub(r25576, r25574, r25575, MPFR_RNDN);
        if (mpfr_get_si(r25571, MPFR_RNDN)) { mpfr_set(r25577, r25560, MPFR_RNDN); } else { mpfr_set(r25577, r25576, MPFR_RNDN); };
        if (mpfr_get_si(r25562, MPFR_RNDN)) { mpfr_set(r25578, r25569, MPFR_RNDN); } else { mpfr_set(r25578, r25577, MPFR_RNDN); };
        if (mpfr_get_si(r25551, MPFR_RNDN)) { mpfr_set(r25579, r25560, MPFR_RNDN); } else { mpfr_set(r25579, r25578, MPFR_RNDN); };
        return mpfr_get_d(r25579, MPFR_RNDN);
}

