#include <tgmath.h>
#include <gmp.h>
#include <mpfr.h>
#include <stdio.h>
#include <stdbool.h>

char *name = "NMSE problem 3.4.6";

double f_if(float x, float n) {
        float r25500 = x;
        float r25501 = 1.0f;
        float r25502 = r25500 + r25501;
        float r25503 = n;
        float r25504 = r25501 / r25503;
        float r25505 = pow(r25502, r25504);
        float r25506 = pow(r25500, r25504);
        float r25507 = r25505 - r25506;
        return r25507;
}

double f_id(double x, double n) {
        double r25508 = x;
        double r25509 = 1.0;
        double r25510 = r25508 + r25509;
        double r25511 = n;
        double r25512 = r25509 / r25511;
        double r25513 = pow(r25510, r25512);
        double r25514 = pow(r25508, r25512);
        double r25515 = r25513 - r25514;
        return r25515;
}


double f_of(float x, float n) {
        float r25516 = n;
        float r25517 = -4.930770214232589e+18f;
        bool r25518 = r25516 <= r25517;
        float r25519 = 1.0f;
        float r25520 = x;
        float r25521 = r25520 * r25516;
        float r25522 = r25519 / r25521;
        float r25523 = 0.5f;
        float r25524 = r25523 / r25520;
        float r25525 = r25524 / r25521;
        float r25526 = log(r25520);
        float r25527 = r25526 / r25520;
        float r25528 = r25516 * r25516;
        float r25529 = r25527 / r25528;
        float r25530 = r25525 + r25529;
        float r25531 = r25522 - r25530;
        float r25532 = 8.04578740725892e+26f;
        bool r25533 = r25516 <= r25532;
        float r25534 = r25520 + r25519;
        float r25535 = r25519 / r25516;
        float r25536 = pow(r25534, r25535);
        float r25537 = pow(r25520, r25535);
        float r25538 = r25536 - r25537;
        float r25539 = cbrt(r25538);
        float r25540 = r25539 * (r25539 * r25539);
        float r25541 = cbrt(r25540);
        float r25542 = r25541 * (r25541 * r25541);
        float r25543 = r25533 ? r25542 : r25531;
        float r25544 = r25518 ? r25531 : r25543;
        return r25544;
}

double f_od(double x, double n) {
        double r25545 = n;
        double r25546 = -4.930770214232589e+18;
        bool r25547 = r25545 <= r25546;
        double r25548 = 1.0;
        double r25549 = x;
        double r25550 = r25549 * r25545;
        double r25551 = r25548 / r25550;
        double r25552 = 0.5;
        double r25553 = r25552 / r25549;
        double r25554 = r25553 / r25550;
        double r25555 = log(r25549);
        double r25556 = r25555 / r25549;
        double r25557 = r25545 * r25545;
        double r25558 = r25556 / r25557;
        double r25559 = r25554 + r25558;
        double r25560 = r25551 - r25559;
        double r25561 = 8.04578740725892e+26;
        bool r25562 = r25545 <= r25561;
        double r25563 = r25549 + r25548;
        double r25564 = r25548 / r25545;
        double r25565 = pow(r25563, r25564);
        double r25566 = pow(r25549, r25564);
        double r25567 = r25565 - r25566;
        double r25568 = cbrt(r25567);
        double r25569 = r25568 * (r25568 * r25568);
        double r25570 = cbrt(r25569);
        double r25571 = r25570 * (r25570 * r25570);
        double r25572 = r25562 ? r25571 : r25560;
        double r25573 = r25547 ? r25560 : r25572;
        return r25573;
}

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 r25574, r25575, r25576, r25577, r25578, r25579, r25580, r25581;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init(r25574);
        mpfr_init_set_str(r25575, "1", 10, MPFR_RNDN);
        mpfr_init(r25576);
        mpfr_init(r25577);
        mpfr_init(r25578);
        mpfr_init(r25579);
        mpfr_init(r25580);
        mpfr_init(r25581);
}

double f_im(double x, double n) {
        mpfr_set_d(r25574, x, MPFR_RNDN);
        ;
        mpfr_add(r25576, r25574, r25575, MPFR_RNDN);
        mpfr_set_d(r25577, n, MPFR_RNDN);
        mpfr_div(r25578, r25575, r25577, MPFR_RNDN);
        mpfr_pow(r25579, r25576, r25578, MPFR_RNDN);
        mpfr_pow(r25580, r25574, r25578, MPFR_RNDN);
        mpfr_sub(r25581, r25579, r25580, MPFR_RNDN);
        return mpfr_get_d(r25581, MPFR_RNDN);
}

static mpfr_t 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;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r25582);
        mpfr_init_set_str(r25583, "-4.930770214232589e+18", 10, MPFR_RNDN);
        mpfr_init(r25584);
        mpfr_init_set_str(r25585, "1", 10, MPFR_RNDN);
        mpfr_init(r25586);
        mpfr_init(r25587);
        mpfr_init(r25588);
        mpfr_init_set_str(r25589, "1/2", 10, MPFR_RNDN);
        mpfr_init(r25590);
        mpfr_init(r25591);
        mpfr_init(r25592);
        mpfr_init(r25593);
        mpfr_init(r25594);
        mpfr_init(r25595);
        mpfr_init(r25596);
        mpfr_init(r25597);
        mpfr_init_set_str(r25598, "8.04578740725892e+26", 10, MPFR_RNDN);
        mpfr_init(r25599);
        mpfr_init(r25600);
        mpfr_init(r25601);
        mpfr_init(r25602);
        mpfr_init(r25603);
        mpfr_init(r25604);
        mpfr_init(r25605);
        mpfr_init(r25606);
        mpfr_init(r25607);
        mpfr_init(r25608);
        mpfr_init(r25609);
        mpfr_init(r25610);
}

double f_fm(double x, double n) {
        mpfr_set_d(r25582, n, MPFR_RNDN);
        ;
        mpfr_set_si(r25584, mpfr_cmp(r25582, r25583) <= 0, MPFR_RNDN);
        ;
        mpfr_set_d(r25586, x, MPFR_RNDN);
        mpfr_mul(r25587, r25586, r25582, MPFR_RNDN);
        mpfr_div(r25588, r25585, r25587, MPFR_RNDN);
        ;
        mpfr_div(r25590, r25589, r25586, MPFR_RNDN);
        mpfr_div(r25591, r25590, r25587, MPFR_RNDN);
        mpfr_log(r25592, r25586, MPFR_RNDN);
        mpfr_div(r25593, r25592, r25586, MPFR_RNDN);
        mpfr_sqr(r25594, r25582, MPFR_RNDN);
        mpfr_div(r25595, r25593, r25594, MPFR_RNDN);
        mpfr_add(r25596, r25591, r25595, MPFR_RNDN);
        mpfr_sub(r25597, r25588, r25596, MPFR_RNDN);
        ;
        mpfr_set_si(r25599, mpfr_cmp(r25582, r25598) <= 0, MPFR_RNDN);
        mpfr_add(r25600, r25586, r25585, MPFR_RNDN);
        mpfr_div(r25601, r25585, r25582, MPFR_RNDN);
        mpfr_pow(r25602, r25600, r25601, MPFR_RNDN);
        mpfr_pow(r25603, r25586, r25601, MPFR_RNDN);
        mpfr_sub(r25604, r25602, r25603, MPFR_RNDN);
        mpfr_cbrt(r25605, r25604, MPFR_RNDN);
        mpfr_mul(r25606, r25605, r25605, MPFR_RNDN); mpfr_mul(r25606, r25606, r25605, MPFR_RNDN);
        mpfr_cbrt(r25607, r25606, MPFR_RNDN);
        mpfr_mul(r25608, r25607, r25607, MPFR_RNDN); mpfr_mul(r25608, r25608, r25607, MPFR_RNDN);
        if (mpfr_get_si(r25599, MPFR_RNDN)) { mpfr_set(r25609, r25608, MPFR_RNDN); } else { mpfr_set(r25609, r25597, MPFR_RNDN); };
        if (mpfr_get_si(r25584, MPFR_RNDN)) { mpfr_set(r25610, r25597, MPFR_RNDN); } else { mpfr_set(r25610, r25609, MPFR_RNDN); };
        return mpfr_get_d(r25610, MPFR_RNDN);
}

static mpfr_t 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;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r25611);
        mpfr_init_set_str(r25612, "-4.930770214232589e+18", 10, MPFR_RNDN);
        mpfr_init(r25613);
        mpfr_init_set_str(r25614, "1", 10, MPFR_RNDN);
        mpfr_init(r25615);
        mpfr_init(r25616);
        mpfr_init(r25617);
        mpfr_init_set_str(r25618, "1/2", 10, MPFR_RNDN);
        mpfr_init(r25619);
        mpfr_init(r25620);
        mpfr_init(r25621);
        mpfr_init(r25622);
        mpfr_init(r25623);
        mpfr_init(r25624);
        mpfr_init(r25625);
        mpfr_init(r25626);
        mpfr_init_set_str(r25627, "8.04578740725892e+26", 10, MPFR_RNDN);
        mpfr_init(r25628);
        mpfr_init(r25629);
        mpfr_init(r25630);
        mpfr_init(r25631);
        mpfr_init(r25632);
        mpfr_init(r25633);
        mpfr_init(r25634);
        mpfr_init(r25635);
        mpfr_init(r25636);
        mpfr_init(r25637);
        mpfr_init(r25638);
        mpfr_init(r25639);
}

double f_dm(double x, double n) {
        mpfr_set_d(r25611, n, MPFR_RNDN);
        ;
        mpfr_set_si(r25613, mpfr_cmp(r25611, r25612) <= 0, MPFR_RNDN);
        ;
        mpfr_set_d(r25615, x, MPFR_RNDN);
        mpfr_mul(r25616, r25615, r25611, MPFR_RNDN);
        mpfr_div(r25617, r25614, r25616, MPFR_RNDN);
        ;
        mpfr_div(r25619, r25618, r25615, MPFR_RNDN);
        mpfr_div(r25620, r25619, r25616, MPFR_RNDN);
        mpfr_log(r25621, r25615, MPFR_RNDN);
        mpfr_div(r25622, r25621, r25615, MPFR_RNDN);
        mpfr_sqr(r25623, r25611, MPFR_RNDN);
        mpfr_div(r25624, r25622, r25623, MPFR_RNDN);
        mpfr_add(r25625, r25620, r25624, MPFR_RNDN);
        mpfr_sub(r25626, r25617, r25625, MPFR_RNDN);
        ;
        mpfr_set_si(r25628, mpfr_cmp(r25611, r25627) <= 0, MPFR_RNDN);
        mpfr_add(r25629, r25615, r25614, MPFR_RNDN);
        mpfr_div(r25630, r25614, r25611, MPFR_RNDN);
        mpfr_pow(r25631, r25629, r25630, MPFR_RNDN);
        mpfr_pow(r25632, r25615, r25630, MPFR_RNDN);
        mpfr_sub(r25633, r25631, r25632, MPFR_RNDN);
        mpfr_cbrt(r25634, r25633, MPFR_RNDN);
        mpfr_mul(r25635, r25634, r25634, MPFR_RNDN); mpfr_mul(r25635, r25635, r25634, MPFR_RNDN);
        mpfr_cbrt(r25636, r25635, MPFR_RNDN);
        mpfr_mul(r25637, r25636, r25636, MPFR_RNDN); mpfr_mul(r25637, r25637, r25636, MPFR_RNDN);
        if (mpfr_get_si(r25628, MPFR_RNDN)) { mpfr_set(r25638, r25637, MPFR_RNDN); } else { mpfr_set(r25638, r25626, MPFR_RNDN); };
        if (mpfr_get_si(r25613, MPFR_RNDN)) { mpfr_set(r25639, r25626, MPFR_RNDN); } else { mpfr_set(r25639, r25638, MPFR_RNDN); };
        return mpfr_get_d(r25639, MPFR_RNDN);
}