#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 r25336 = x;
        float r25337 = 1;
        float r25338 = r25336 + r25337;
        float r25339 = n;
        float r25340 = r25337 / r25339;
        float r25341 = pow(r25338, r25340);
        float r25342 = pow(r25336, r25340);
        float r25343 = r25341 - r25342;
        return r25343;
}

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


double f_of(float x, float n) {
        float r25352 = x;
        float r25353 = log1p(r25352);
        float r25354 = n;
        float r25355 = r25353 / r25354;
        float r25356 = expm1(r25355);
        float r25357 = 1/2;
        float r25358 = r25357 / r25354;
        float r25359 = r25358 / r25354;
        float r25360 = log(r25352);
        float r25361 = r25360 * r25360;
        float r25362 = r25360 / r25354;
        float r25363 = fma(r25359, r25361, r25362);
        float r25364 = r25356 - r25363;
        float r25365 = -1.1727632803868568e-11;
        bool r25366 = r25364 <= r25365;
        float r25367 = exp(r25355);
        float r25368 = 1;
        float r25369 = r25368 / r25354;
        float r25370 = pow(r25352, r25369);
        float r25371 = r25367 - r25370;
        float r25372 = -1.9586932132941543e-306;
        bool r25373 = r25364 <= r25372;
        float r25374 = 1.857849754905915e-309;
        bool r25375 = r25364 <= r25374;
        float r25376 = r25354 * r25354;
        float r25377 = r25360 / r25376;
        float r25378 = r25377 / r25352;
        float r25379 = r25352 * r25352;
        float r25380 = r25358 / r25379;
        float r25381 = r25352 * r25354;
        float r25382 = r25368 / r25381;
        float r25383 = r25380 - r25382;
        float r25384 = r25378 - r25383;
        float r25385 = r25375 ? r25384 : r25364;
        float r25386 = r25373 ? r25364 : r25385;
        float r25387 = r25366 ? r25371 : r25386;
        return r25387;
}

double f_od(double x, double n) {
        double r25388 = x;
        double r25389 = log1p(r25388);
        double r25390 = n;
        double r25391 = r25389 / r25390;
        double r25392 = expm1(r25391);
        double r25393 = 1/2;
        double r25394 = r25393 / r25390;
        double r25395 = r25394 / r25390;
        double r25396 = log(r25388);
        double r25397 = r25396 * r25396;
        double r25398 = r25396 / r25390;
        double r25399 = fma(r25395, r25397, r25398);
        double r25400 = r25392 - r25399;
        double r25401 = -1.1727632803868568e-11;
        bool r25402 = r25400 <= r25401;
        double r25403 = exp(r25391);
        double r25404 = 1;
        double r25405 = r25404 / r25390;
        double r25406 = pow(r25388, r25405);
        double r25407 = r25403 - r25406;
        double r25408 = -1.9586932132941543e-306;
        bool r25409 = r25400 <= r25408;
        double r25410 = 1.857849754905915e-309;
        bool r25411 = r25400 <= r25410;
        double r25412 = r25390 * r25390;
        double r25413 = r25396 / r25412;
        double r25414 = r25413 / r25388;
        double r25415 = r25388 * r25388;
        double r25416 = r25394 / r25415;
        double r25417 = r25388 * r25390;
        double r25418 = r25404 / r25417;
        double r25419 = r25416 - r25418;
        double r25420 = r25414 - r25419;
        double r25421 = r25411 ? r25420 : r25400;
        double r25422 = r25409 ? r25400 : r25421;
        double r25423 = r25402 ? r25407 : r25422;
        return r25423;
}

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 r25424, r25425, r25426, r25427, r25428, r25429, r25430, r25431;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init(r25424);
        mpfr_init_set_str(r25425, "1", 10, MPFR_RNDN);
        mpfr_init(r25426);
        mpfr_init(r25427);
        mpfr_init(r25428);
        mpfr_init(r25429);
        mpfr_init(r25430);
        mpfr_init(r25431);
}

double f_im(double x, double n) {
        mpfr_set_d(r25424, x, MPFR_RNDN);
        ;
        mpfr_add(r25426, r25424, r25425, MPFR_RNDN);
        mpfr_set_d(r25427, n, MPFR_RNDN);
        mpfr_div(r25428, r25425, r25427, MPFR_RNDN);
        mpfr_pow(r25429, r25426, r25428, MPFR_RNDN);
        mpfr_pow(r25430, r25424, r25428, MPFR_RNDN);
        mpfr_sub(r25431, r25429, r25430, MPFR_RNDN);
        return mpfr_get_d(r25431, MPFR_RNDN);
}

static mpfr_t r25432, r25433, r25434, r25435, r25436, r25437, r25438, r25439, r25440, r25441, r25442, r25443, r25444, r25445, r25446, r25447, r25448, r25449, r25450, r25451, r25452, r25453, r25454, r25455, r25456, r25457, r25458, r25459, r25460, r25461, r25462, r25463, r25464, r25465, r25466, r25467;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r25432);
        mpfr_init(r25433);
        mpfr_init(r25434);
        mpfr_init(r25435);
        mpfr_init(r25436);
        mpfr_init_set_str(r25437, "1/2", 10, MPFR_RNDN);
        mpfr_init(r25438);
        mpfr_init(r25439);
        mpfr_init(r25440);
        mpfr_init(r25441);
        mpfr_init(r25442);
        mpfr_init(r25443);
        mpfr_init(r25444);
        mpfr_init_set_str(r25445, "-1.1727632803868568e-11", 10, MPFR_RNDN);
        mpfr_init(r25446);
        mpfr_init(r25447);
        mpfr_init_set_str(r25448, "1", 10, MPFR_RNDN);
        mpfr_init(r25449);
        mpfr_init(r25450);
        mpfr_init(r25451);
        mpfr_init_set_str(r25452, "-1.9586932132941543e-306", 10, MPFR_RNDN);
        mpfr_init(r25453);
        mpfr_init_set_str(r25454, "1.857849754905915e-309", 10, MPFR_RNDN);
        mpfr_init(r25455);
        mpfr_init(r25456);
        mpfr_init(r25457);
        mpfr_init(r25458);
        mpfr_init(r25459);
        mpfr_init(r25460);
        mpfr_init(r25461);
        mpfr_init(r25462);
        mpfr_init(r25463);
        mpfr_init(r25464);
        mpfr_init(r25465);
        mpfr_init(r25466);
        mpfr_init(r25467);
}

double f_fm(double x, double n) {
        mpfr_set_d(r25432, x, MPFR_RNDN);
        mpfr_log1p(r25433, r25432, MPFR_RNDN);
        mpfr_set_d(r25434, n, MPFR_RNDN);
        mpfr_div(r25435, r25433, r25434, MPFR_RNDN);
        mpfr_expm1(r25436, r25435, MPFR_RNDN);
        ;
        mpfr_div(r25438, r25437, r25434, MPFR_RNDN);
        mpfr_div(r25439, r25438, r25434, MPFR_RNDN);
        mpfr_log(r25440, r25432, MPFR_RNDN);
        mpfr_mul(r25441, r25440, r25440, MPFR_RNDN);
        mpfr_div(r25442, r25440, r25434, MPFR_RNDN);
        mpfr_fma(r25443, r25439, r25441, r25442, MPFR_RNDN);
        mpfr_sub(r25444, r25436, r25443, MPFR_RNDN);
        ;
        mpfr_set_si(r25446, mpfr_cmp(r25444, r25445) <= 0, MPFR_RNDN);
        mpfr_exp(r25447, r25435, MPFR_RNDN);
        ;
        mpfr_div(r25449, r25448, r25434, MPFR_RNDN);
        mpfr_pow(r25450, r25432, r25449, MPFR_RNDN);
        mpfr_sub(r25451, r25447, r25450, MPFR_RNDN);
        ;
        mpfr_set_si(r25453, mpfr_cmp(r25444, r25452) <= 0, MPFR_RNDN);
        ;
        mpfr_set_si(r25455, mpfr_cmp(r25444, r25454) <= 0, MPFR_RNDN);
        mpfr_mul(r25456, r25434, r25434, MPFR_RNDN);
        mpfr_div(r25457, r25440, r25456, MPFR_RNDN);
        mpfr_div(r25458, r25457, r25432, MPFR_RNDN);
        mpfr_mul(r25459, r25432, r25432, MPFR_RNDN);
        mpfr_div(r25460, r25438, r25459, MPFR_RNDN);
        mpfr_mul(r25461, r25432, r25434, MPFR_RNDN);
        mpfr_div(r25462, r25448, r25461, MPFR_RNDN);
        mpfr_sub(r25463, r25460, r25462, MPFR_RNDN);
        mpfr_sub(r25464, r25458, r25463, MPFR_RNDN);
        if (mpfr_get_si(r25455, MPFR_RNDN)) { mpfr_set(r25465, r25464, MPFR_RNDN); } else { mpfr_set(r25465, r25444, MPFR_RNDN); };
        if (mpfr_get_si(r25453, MPFR_RNDN)) { mpfr_set(r25466, r25444, MPFR_RNDN); } else { mpfr_set(r25466, r25465, MPFR_RNDN); };
        if (mpfr_get_si(r25446, MPFR_RNDN)) { mpfr_set(r25467, r25451, MPFR_RNDN); } else { mpfr_set(r25467, r25466, MPFR_RNDN); };
        return mpfr_get_d(r25467, MPFR_RNDN);
}

static mpfr_t 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;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r25468);
        mpfr_init(r25469);
        mpfr_init(r25470);
        mpfr_init(r25471);
        mpfr_init(r25472);
        mpfr_init_set_str(r25473, "1/2", 10, MPFR_RNDN);
        mpfr_init(r25474);
        mpfr_init(r25475);
        mpfr_init(r25476);
        mpfr_init(r25477);
        mpfr_init(r25478);
        mpfr_init(r25479);
        mpfr_init(r25480);
        mpfr_init_set_str(r25481, "-1.1727632803868568e-11", 10, MPFR_RNDN);
        mpfr_init(r25482);
        mpfr_init(r25483);
        mpfr_init_set_str(r25484, "1", 10, MPFR_RNDN);
        mpfr_init(r25485);
        mpfr_init(r25486);
        mpfr_init(r25487);
        mpfr_init_set_str(r25488, "-1.9586932132941543e-306", 10, MPFR_RNDN);
        mpfr_init(r25489);
        mpfr_init_set_str(r25490, "1.857849754905915e-309", 10, MPFR_RNDN);
        mpfr_init(r25491);
        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(r25503);
}

double f_dm(double x, double n) {
        mpfr_set_d(r25468, x, MPFR_RNDN);
        mpfr_log1p(r25469, r25468, MPFR_RNDN);
        mpfr_set_d(r25470, n, MPFR_RNDN);
        mpfr_div(r25471, r25469, r25470, MPFR_RNDN);
        mpfr_expm1(r25472, r25471, MPFR_RNDN);
        ;
        mpfr_div(r25474, r25473, r25470, MPFR_RNDN);
        mpfr_div(r25475, r25474, r25470, MPFR_RNDN);
        mpfr_log(r25476, r25468, MPFR_RNDN);
        mpfr_mul(r25477, r25476, r25476, MPFR_RNDN);
        mpfr_div(r25478, r25476, r25470, MPFR_RNDN);
        mpfr_fma(r25479, r25475, r25477, r25478, MPFR_RNDN);
        mpfr_sub(r25480, r25472, r25479, MPFR_RNDN);
        ;
        mpfr_set_si(r25482, mpfr_cmp(r25480, r25481) <= 0, MPFR_RNDN);
        mpfr_exp(r25483, r25471, MPFR_RNDN);
        ;
        mpfr_div(r25485, r25484, r25470, MPFR_RNDN);
        mpfr_pow(r25486, r25468, r25485, MPFR_RNDN);
        mpfr_sub(r25487, r25483, r25486, MPFR_RNDN);
        ;
        mpfr_set_si(r25489, mpfr_cmp(r25480, r25488) <= 0, MPFR_RNDN);
        ;
        mpfr_set_si(r25491, mpfr_cmp(r25480, r25490) <= 0, MPFR_RNDN);
        mpfr_mul(r25492, r25470, r25470, MPFR_RNDN);
        mpfr_div(r25493, r25476, r25492, MPFR_RNDN);
        mpfr_div(r25494, r25493, r25468, MPFR_RNDN);
        mpfr_mul(r25495, r25468, r25468, MPFR_RNDN);
        mpfr_div(r25496, r25474, r25495, MPFR_RNDN);
        mpfr_mul(r25497, r25468, r25470, MPFR_RNDN);
        mpfr_div(r25498, r25484, r25497, MPFR_RNDN);
        mpfr_sub(r25499, r25496, r25498, MPFR_RNDN);
        mpfr_sub(r25500, r25494, r25499, MPFR_RNDN);
        if (mpfr_get_si(r25491, MPFR_RNDN)) { mpfr_set(r25501, r25500, MPFR_RNDN); } else { mpfr_set(r25501, r25480, MPFR_RNDN); };
        if (mpfr_get_si(r25489, MPFR_RNDN)) { mpfr_set(r25502, r25480, MPFR_RNDN); } else { mpfr_set(r25502, r25501, MPFR_RNDN); };
        if (mpfr_get_si(r25482, MPFR_RNDN)) { mpfr_set(r25503, r25487, MPFR_RNDN); } else { mpfr_set(r25503, r25502, MPFR_RNDN); };
        return mpfr_get_d(r25503, MPFR_RNDN);
}