#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 r25344 = x;
        float r25345 = 1;
        float r25346 = r25344 + r25345;
        float r25347 = n;
        float r25348 = r25345 / r25347;
        float r25349 = pow(r25346, r25348);
        float r25350 = pow(r25344, r25348);
        float r25351 = r25349 - r25350;
        return r25351;
}

double f_id(double x, double n) {
        double r25352 = x;
        double r25353 = 1;
        double r25354 = r25352 + r25353;
        double r25355 = n;
        double r25356 = r25353 / r25355;
        double r25357 = pow(r25354, r25356);
        double r25358 = pow(r25352, r25356);
        double r25359 = r25357 - r25358;
        return r25359;
}


double f_of(float x, float n) {
        float r25360 = 1;
        float r25361 = x;
        float r25362 = n;
        float r25363 = r25361 * r25362;
        float r25364 = r25360 / r25363;
        float r25365 = 1/2;
        float r25366 = r25365 / r25361;
        float r25367 = r25366 / r25363;
        float r25368 = r25364 - r25367;
        float r25369 = log(r25361);
        float r25370 = r25362 * r25362;
        float r25371 = r25370 * r25361;
        float r25372 = r25369 / r25371;
        float r25373 = r25368 + r25372;
        float r25374 = -4.3860078040343976e-113;
        bool r25375 = r25373 <= r25374;
        float r25376 = r25360 + r25361;
        float r25377 = r25360 / r25362;
        float r25378 = pow(r25376, r25377);
        float r25379 = r25378 - r25360;
        float r25380 = r25365 / r25362;
        float r25381 = r25369 * r25380;
        float r25382 = r25362 / r25369;
        float r25383 = r25381 / r25382;
        float r25384 = r25379 - r25383;
        float r25385 = r25369 / r25362;
        float r25386 = r25384 - r25385;
        float r25387 = 2.472355422256959e-95;
        bool r25388 = r25373 <= r25387;
        float r25389 = r25377 / r25361;
        float r25390 = r25361 * r25361;
        float r25391 = r25380 / r25390;
        float r25392 = r25389 - r25391;
        float r25393 = r25362 * r25361;
        float r25394 = r25393 * r25362;
        float r25395 = r25369 / r25394;
        float r25396 = r25392 + r25395;
        float r25397 = 6.007545999641258e+300;
        bool r25398 = r25373 <= r25397;
        float r25399 = pow(r25361, r25377);
        float r25400 = r25378 - r25399;
        float r25401 = exp(r25400);
        float r25402 = log(r25401);
        float r25403 = r25398 ? r25386 : r25402;
        float r25404 = r25388 ? r25396 : r25403;
        float r25405 = r25375 ? r25386 : r25404;
        return r25405;
}

double f_od(double x, double n) {
        double r25406 = 1;
        double r25407 = x;
        double r25408 = n;
        double r25409 = r25407 * r25408;
        double r25410 = r25406 / r25409;
        double r25411 = 1/2;
        double r25412 = r25411 / r25407;
        double r25413 = r25412 / r25409;
        double r25414 = r25410 - r25413;
        double r25415 = log(r25407);
        double r25416 = r25408 * r25408;
        double r25417 = r25416 * r25407;
        double r25418 = r25415 / r25417;
        double r25419 = r25414 + r25418;
        double r25420 = -4.3860078040343976e-113;
        bool r25421 = r25419 <= r25420;
        double r25422 = r25406 + r25407;
        double r25423 = r25406 / r25408;
        double r25424 = pow(r25422, r25423);
        double r25425 = r25424 - r25406;
        double r25426 = r25411 / r25408;
        double r25427 = r25415 * r25426;
        double r25428 = r25408 / r25415;
        double r25429 = r25427 / r25428;
        double r25430 = r25425 - r25429;
        double r25431 = r25415 / r25408;
        double r25432 = r25430 - r25431;
        double r25433 = 2.472355422256959e-95;
        bool r25434 = r25419 <= r25433;
        double r25435 = r25423 / r25407;
        double r25436 = r25407 * r25407;
        double r25437 = r25426 / r25436;
        double r25438 = r25435 - r25437;
        double r25439 = r25408 * r25407;
        double r25440 = r25439 * r25408;
        double r25441 = r25415 / r25440;
        double r25442 = r25438 + r25441;
        double r25443 = 6.007545999641258e+300;
        bool r25444 = r25419 <= r25443;
        double r25445 = pow(r25407, r25423);
        double r25446 = r25424 - r25445;
        double r25447 = exp(r25446);
        double r25448 = log(r25447);
        double r25449 = r25444 ? r25432 : r25448;
        double r25450 = r25434 ? r25442 : r25449;
        double r25451 = r25421 ? r25432 : r25450;
        return r25451;
}

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 r25452, r25453, r25454, r25455, r25456, r25457, r25458, r25459;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init(r25452);
        mpfr_init_set_str(r25453, "1", 10, MPFR_RNDN);
        mpfr_init(r25454);
        mpfr_init(r25455);
        mpfr_init(r25456);
        mpfr_init(r25457);
        mpfr_init(r25458);
        mpfr_init(r25459);
}

double f_im(double x, double n) {
        mpfr_set_d(r25452, x, MPFR_RNDN);
        ;
        mpfr_add(r25454, r25452, r25453, MPFR_RNDN);
        mpfr_set_d(r25455, n, MPFR_RNDN);
        mpfr_div(r25456, r25453, r25455, MPFR_RNDN);
        mpfr_pow(r25457, r25454, r25456, MPFR_RNDN);
        mpfr_pow(r25458, r25452, r25456, MPFR_RNDN);
        mpfr_sub(r25459, r25457, r25458, MPFR_RNDN);
        return mpfr_get_d(r25459, MPFR_RNDN);
}

static mpfr_t r25460, r25461, r25462, r25463, r25464, r25465, r25466, r25467, r25468, r25469, r25470, r25471, r25472, r25473, r25474, r25475, r25476, r25477, r25478, r25479, r25480, r25481, r25482, r25483, r25484, r25485, r25486, r25487, r25488, r25489, r25490, r25491, r25492, r25493, r25494, r25495, r25496, r25497, r25498, r25499, r25500, r25501, r25502, r25503, r25504, r25505;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init_set_str(r25460, "1", 10, MPFR_RNDN);
        mpfr_init(r25461);
        mpfr_init(r25462);
        mpfr_init(r25463);
        mpfr_init(r25464);
        mpfr_init_set_str(r25465, "1/2", 10, MPFR_RNDN);
        mpfr_init(r25466);
        mpfr_init(r25467);
        mpfr_init(r25468);
        mpfr_init(r25469);
        mpfr_init(r25470);
        mpfr_init(r25471);
        mpfr_init(r25472);
        mpfr_init(r25473);
        mpfr_init_set_str(r25474, "-4.3860078040343976e-113", 10, MPFR_RNDN);
        mpfr_init(r25475);
        mpfr_init(r25476);
        mpfr_init(r25477);
        mpfr_init(r25478);
        mpfr_init(r25479);
        mpfr_init(r25480);
        mpfr_init(r25481);
        mpfr_init(r25482);
        mpfr_init(r25483);
        mpfr_init(r25484);
        mpfr_init(r25485);
        mpfr_init(r25486);
        mpfr_init_set_str(r25487, "2.472355422256959e-95", 10, MPFR_RNDN);
        mpfr_init(r25488);
        mpfr_init(r25489);
        mpfr_init(r25490);
        mpfr_init(r25491);
        mpfr_init(r25492);
        mpfr_init(r25493);
        mpfr_init(r25494);
        mpfr_init(r25495);
        mpfr_init(r25496);
        mpfr_init_set_str(r25497, "6.007545999641258e+300", 10, MPFR_RNDN);
        mpfr_init(r25498);
        mpfr_init(r25499);
        mpfr_init(r25500);
        mpfr_init(r25501);
        mpfr_init(r25502);
        mpfr_init(r25503);
        mpfr_init(r25504);
        mpfr_init(r25505);
}

double f_fm(double x, double n) {
        ;
        mpfr_set_d(r25461, x, MPFR_RNDN);
        mpfr_set_d(r25462, n, MPFR_RNDN);
        mpfr_mul(r25463, r25461, r25462, MPFR_RNDN);
        mpfr_div(r25464, r25460, r25463, MPFR_RNDN);
        ;
        mpfr_div(r25466, r25465, r25461, MPFR_RNDN);
        mpfr_div(r25467, r25466, r25463, MPFR_RNDN);
        mpfr_sub(r25468, r25464, r25467, MPFR_RNDN);
        mpfr_log(r25469, r25461, MPFR_RNDN);
        mpfr_mul(r25470, r25462, r25462, MPFR_RNDN);
        mpfr_mul(r25471, r25470, r25461, MPFR_RNDN);
        mpfr_div(r25472, r25469, r25471, MPFR_RNDN);
        mpfr_add(r25473, r25468, r25472, MPFR_RNDN);
        ;
        mpfr_set_si(r25475, mpfr_cmp(r25473, r25474) <= 0, MPFR_RNDN);
        mpfr_add(r25476, r25460, r25461, MPFR_RNDN);
        mpfr_div(r25477, r25460, r25462, MPFR_RNDN);
        mpfr_pow(r25478, r25476, r25477, MPFR_RNDN);
        mpfr_sub(r25479, r25478, r25460, MPFR_RNDN);
        mpfr_div(r25480, r25465, r25462, MPFR_RNDN);
        mpfr_mul(r25481, r25469, r25480, MPFR_RNDN);
        mpfr_div(r25482, r25462, r25469, MPFR_RNDN);
        mpfr_div(r25483, r25481, r25482, MPFR_RNDN);
        mpfr_sub(r25484, r25479, r25483, MPFR_RNDN);
        mpfr_div(r25485, r25469, r25462, MPFR_RNDN);
        mpfr_sub(r25486, r25484, r25485, MPFR_RNDN);
        ;
        mpfr_set_si(r25488, mpfr_cmp(r25473, r25487) <= 0, MPFR_RNDN);
        mpfr_div(r25489, r25477, r25461, MPFR_RNDN);
        mpfr_mul(r25490, r25461, r25461, MPFR_RNDN);
        mpfr_div(r25491, r25480, r25490, MPFR_RNDN);
        mpfr_sub(r25492, r25489, r25491, MPFR_RNDN);
        mpfr_mul(r25493, r25462, r25461, MPFR_RNDN);
        mpfr_mul(r25494, r25493, r25462, MPFR_RNDN);
        mpfr_div(r25495, r25469, r25494, MPFR_RNDN);
        mpfr_add(r25496, r25492, r25495, MPFR_RNDN);
        ;
        mpfr_set_si(r25498, mpfr_cmp(r25473, r25497) <= 0, MPFR_RNDN);
        mpfr_pow(r25499, r25461, r25477, MPFR_RNDN);
        mpfr_sub(r25500, r25478, r25499, MPFR_RNDN);
        mpfr_exp(r25501, r25500, MPFR_RNDN);
        mpfr_log(r25502, r25501, MPFR_RNDN);
        if (mpfr_get_si(r25498, MPFR_RNDN)) { mpfr_set(r25503, r25486, MPFR_RNDN); } else { mpfr_set(r25503, r25502, MPFR_RNDN); };
        if (mpfr_get_si(r25488, MPFR_RNDN)) { mpfr_set(r25504, r25496, MPFR_RNDN); } else { mpfr_set(r25504, r25503, MPFR_RNDN); };
        if (mpfr_get_si(r25475, MPFR_RNDN)) { mpfr_set(r25505, r25486, MPFR_RNDN); } else { mpfr_set(r25505, r25504, MPFR_RNDN); };
        return mpfr_get_d(r25505, MPFR_RNDN);
}

static mpfr_t 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, r25533, r25534, r25535, r25536, r25537, r25538, r25539, r25540, r25541, r25542, r25543, r25544, r25545, r25546, r25547, r25548, r25549, r25550, r25551;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init_set_str(r25506, "1", 10, MPFR_RNDN);
        mpfr_init(r25507);
        mpfr_init(r25508);
        mpfr_init(r25509);
        mpfr_init(r25510);
        mpfr_init_set_str(r25511, "1/2", 10, MPFR_RNDN);
        mpfr_init(r25512);
        mpfr_init(r25513);
        mpfr_init(r25514);
        mpfr_init(r25515);
        mpfr_init(r25516);
        mpfr_init(r25517);
        mpfr_init(r25518);
        mpfr_init(r25519);
        mpfr_init_set_str(r25520, "-4.3860078040343976e-113", 10, MPFR_RNDN);
        mpfr_init(r25521);
        mpfr_init(r25522);
        mpfr_init(r25523);
        mpfr_init(r25524);
        mpfr_init(r25525);
        mpfr_init(r25526);
        mpfr_init(r25527);
        mpfr_init(r25528);
        mpfr_init(r25529);
        mpfr_init(r25530);
        mpfr_init(r25531);
        mpfr_init(r25532);
        mpfr_init_set_str(r25533, "2.472355422256959e-95", 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_set_str(r25543, "6.007545999641258e+300", 10, MPFR_RNDN);
        mpfr_init(r25544);
        mpfr_init(r25545);
        mpfr_init(r25546);
        mpfr_init(r25547);
        mpfr_init(r25548);
        mpfr_init(r25549);
        mpfr_init(r25550);
        mpfr_init(r25551);
}

double f_dm(double x, double n) {
        ;
        mpfr_set_d(r25507, x, MPFR_RNDN);
        mpfr_set_d(r25508, n, MPFR_RNDN);
        mpfr_mul(r25509, r25507, r25508, MPFR_RNDN);
        mpfr_div(r25510, r25506, r25509, MPFR_RNDN);
        ;
        mpfr_div(r25512, r25511, r25507, MPFR_RNDN);
        mpfr_div(r25513, r25512, r25509, MPFR_RNDN);
        mpfr_sub(r25514, r25510, r25513, MPFR_RNDN);
        mpfr_log(r25515, r25507, MPFR_RNDN);
        mpfr_mul(r25516, r25508, r25508, MPFR_RNDN);
        mpfr_mul(r25517, r25516, r25507, MPFR_RNDN);
        mpfr_div(r25518, r25515, r25517, MPFR_RNDN);
        mpfr_add(r25519, r25514, r25518, MPFR_RNDN);
        ;
        mpfr_set_si(r25521, mpfr_cmp(r25519, r25520) <= 0, MPFR_RNDN);
        mpfr_add(r25522, r25506, r25507, MPFR_RNDN);
        mpfr_div(r25523, r25506, r25508, MPFR_RNDN);
        mpfr_pow(r25524, r25522, r25523, MPFR_RNDN);
        mpfr_sub(r25525, r25524, r25506, MPFR_RNDN);
        mpfr_div(r25526, r25511, r25508, MPFR_RNDN);
        mpfr_mul(r25527, r25515, r25526, MPFR_RNDN);
        mpfr_div(r25528, r25508, r25515, MPFR_RNDN);
        mpfr_div(r25529, r25527, r25528, MPFR_RNDN);
        mpfr_sub(r25530, r25525, r25529, MPFR_RNDN);
        mpfr_div(r25531, r25515, r25508, MPFR_RNDN);
        mpfr_sub(r25532, r25530, r25531, MPFR_RNDN);
        ;
        mpfr_set_si(r25534, mpfr_cmp(r25519, r25533) <= 0, MPFR_RNDN);
        mpfr_div(r25535, r25523, r25507, MPFR_RNDN);
        mpfr_mul(r25536, r25507, r25507, MPFR_RNDN);
        mpfr_div(r25537, r25526, r25536, MPFR_RNDN);
        mpfr_sub(r25538, r25535, r25537, MPFR_RNDN);
        mpfr_mul(r25539, r25508, r25507, MPFR_RNDN);
        mpfr_mul(r25540, r25539, r25508, MPFR_RNDN);
        mpfr_div(r25541, r25515, r25540, MPFR_RNDN);
        mpfr_add(r25542, r25538, r25541, MPFR_RNDN);
        ;
        mpfr_set_si(r25544, mpfr_cmp(r25519, r25543) <= 0, MPFR_RNDN);
        mpfr_pow(r25545, r25507, r25523, MPFR_RNDN);
        mpfr_sub(r25546, r25524, r25545, MPFR_RNDN);
        mpfr_exp(r25547, r25546, MPFR_RNDN);
        mpfr_log(r25548, r25547, MPFR_RNDN);
        if (mpfr_get_si(r25544, MPFR_RNDN)) { mpfr_set(r25549, r25532, MPFR_RNDN); } else { mpfr_set(r25549, r25548, MPFR_RNDN); };
        if (mpfr_get_si(r25534, MPFR_RNDN)) { mpfr_set(r25550, r25542, MPFR_RNDN); } else { mpfr_set(r25550, r25549, MPFR_RNDN); };
        if (mpfr_get_si(r25521, MPFR_RNDN)) { mpfr_set(r25551, r25532, MPFR_RNDN); } else { mpfr_set(r25551, r25550, MPFR_RNDN); };
        return mpfr_get_d(r25551, MPFR_RNDN);
}

