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

char *name = "NMSE problem 3.4.2";

double f_if(float a, float b, float eps) {
        float r16338 = eps;
        float r16339 = a;
        float r16340 = b;
        float r16341 = r16339 + r16340;
        float r16342 = r16341 * r16338;
        float r16343 = exp(r16342);
        float r16344 = 1.0f;
        float r16345 = r16343 - r16344;
        float r16346 = r16338 * r16345;
        float r16347 = r16339 * r16338;
        float r16348 = exp(r16347);
        float r16349 = r16348 - r16344;
        float r16350 = r16340 * r16338;
        float r16351 = exp(r16350);
        float r16352 = r16351 - r16344;
        float r16353 = r16349 * r16352;
        float r16354 = r16346 / r16353;
        return r16354;
}

double f_id(double a, double b, double eps) {
        double r16355 = eps;
        double r16356 = a;
        double r16357 = b;
        double r16358 = r16356 + r16357;
        double r16359 = r16358 * r16355;
        double r16360 = exp(r16359);
        double r16361 = 1.0;
        double r16362 = r16360 - r16361;
        double r16363 = r16355 * r16362;
        double r16364 = r16356 * r16355;
        double r16365 = exp(r16364);
        double r16366 = r16365 - r16361;
        double r16367 = r16357 * r16355;
        double r16368 = exp(r16367);
        double r16369 = r16368 - r16361;
        double r16370 = r16366 * r16369;
        double r16371 = r16363 / r16370;
        return r16371;
}


double f_of(float a, float b, float eps) {
        float r16372 = eps;
        float r16373 = a;
        float r16374 = b;
        float r16375 = r16373 + r16374;
        float r16376 = r16375 * r16372;
        float r16377 = exp(r16376);
        float r16378 = 1.0f;
        float r16379 = r16377 - r16378;
        float r16380 = r16372 * r16379;
        float r16381 = r16373 * r16372;
        float r16382 = exp(r16381);
        float r16383 = r16382 - r16378;
        float r16384 = r16374 * r16372;
        float r16385 = exp(r16384);
        float r16386 = r16385 - r16378;
        float r16387 = r16383 * r16386;
        float r16388 = r16380 / r16387;
        float r16389 = -5.261000094268735e-233f;
        bool r16390 = r16388 <= r16389;
        float r16391 = r16378 / r16374;
        float r16392 = r16378 / r16373;
        float r16393 = r16391 + r16392;
        float r16394 = 7.712899964207506e-180f;
        bool r16395 = r16388 <= r16394;
        float r16396 = r16395 ? r16393 : r16393;
        float r16397 = r16390 ? r16393 : r16396;
        return r16397;
}

double f_od(double a, double b, double eps) {
        double r16398 = eps;
        double r16399 = a;
        double r16400 = b;
        double r16401 = r16399 + r16400;
        double r16402 = r16401 * r16398;
        double r16403 = exp(r16402);
        double r16404 = 1.0;
        double r16405 = r16403 - r16404;
        double r16406 = r16398 * r16405;
        double r16407 = r16399 * r16398;
        double r16408 = exp(r16407);
        double r16409 = r16408 - r16404;
        double r16410 = r16400 * r16398;
        double r16411 = exp(r16410);
        double r16412 = r16411 - r16404;
        double r16413 = r16409 * r16412;
        double r16414 = r16406 / r16413;
        double r16415 = -5.261000094268735e-233;
        bool r16416 = r16414 <= r16415;
        double r16417 = r16404 / r16400;
        double r16418 = r16404 / r16399;
        double r16419 = r16417 + r16418;
        double r16420 = 7.712899964207506e-180;
        bool r16421 = r16414 <= r16420;
        double r16422 = r16421 ? r16419 : r16419;
        double r16423 = r16416 ? r16419 : r16422;
        return r16423;
}

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 r16424, r16425, r16426, r16427, r16428, r16429, r16430, r16431, r16432, r16433, r16434, r16435, r16436, r16437, r16438, r16439, r16440;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r16424);
        mpfr_init(r16425);
        mpfr_init(r16426);
        mpfr_init(r16427);
        mpfr_init(r16428);
        mpfr_init(r16429);
        mpfr_init_set_str(r16430, "1", 10, MPFR_RNDN);
        mpfr_init(r16431);
        mpfr_init(r16432);
        mpfr_init(r16433);
        mpfr_init(r16434);
        mpfr_init(r16435);
        mpfr_init(r16436);
        mpfr_init(r16437);
        mpfr_init(r16438);
        mpfr_init(r16439);
        mpfr_init(r16440);
}

double f_im(double a, double b, double eps) {
        mpfr_set_d(r16424, eps, MPFR_RNDN);
        mpfr_set_d(r16425, a, MPFR_RNDN);
        mpfr_set_d(r16426, b, MPFR_RNDN);
        mpfr_add(r16427, r16425, r16426, MPFR_RNDN);
        mpfr_mul(r16428, r16427, r16424, MPFR_RNDN);
        mpfr_exp(r16429, r16428, MPFR_RNDN);
        ;
        mpfr_sub(r16431, r16429, r16430, MPFR_RNDN);
        mpfr_mul(r16432, r16424, r16431, MPFR_RNDN);
        mpfr_mul(r16433, r16425, r16424, MPFR_RNDN);
        mpfr_exp(r16434, r16433, MPFR_RNDN);
        mpfr_sub(r16435, r16434, r16430, MPFR_RNDN);
        mpfr_mul(r16436, r16426, r16424, MPFR_RNDN);
        mpfr_exp(r16437, r16436, MPFR_RNDN);
        mpfr_sub(r16438, r16437, r16430, MPFR_RNDN);
        mpfr_mul(r16439, r16435, r16438, MPFR_RNDN);
        mpfr_div(r16440, r16432, r16439, MPFR_RNDN);
        return mpfr_get_d(r16440, MPFR_RNDN);
}

static mpfr_t r16441, r16442, r16443, r16444, r16445, r16446, r16447, r16448, r16449, r16450, r16451, r16452, r16453, r16454, r16455, r16456, r16457, r16458, r16459, r16460, r16461, r16462, r16463, r16464, r16465, r16466;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16441);
        mpfr_init(r16442);
        mpfr_init(r16443);
        mpfr_init(r16444);
        mpfr_init(r16445);
        mpfr_init(r16446);
        mpfr_init_set_str(r16447, "1", 10, MPFR_RNDN);
        mpfr_init(r16448);
        mpfr_init(r16449);
        mpfr_init(r16450);
        mpfr_init(r16451);
        mpfr_init(r16452);
        mpfr_init(r16453);
        mpfr_init(r16454);
        mpfr_init(r16455);
        mpfr_init(r16456);
        mpfr_init(r16457);
        mpfr_init_set_str(r16458, "-5.261000094268735e-233", 10, MPFR_RNDN);
        mpfr_init(r16459);
        mpfr_init(r16460);
        mpfr_init(r16461);
        mpfr_init(r16462);
        mpfr_init_set_str(r16463, "7.712899964207506e-180", 10, MPFR_RNDN);
        mpfr_init(r16464);
        mpfr_init(r16465);
        mpfr_init(r16466);
}

double f_fm(double a, double b, double eps) {
        mpfr_set_d(r16441, eps, MPFR_RNDN);
        mpfr_set_d(r16442, a, MPFR_RNDN);
        mpfr_set_d(r16443, b, MPFR_RNDN);
        mpfr_add(r16444, r16442, r16443, MPFR_RNDN);
        mpfr_mul(r16445, r16444, r16441, MPFR_RNDN);
        mpfr_exp(r16446, r16445, MPFR_RNDN);
        ;
        mpfr_sub(r16448, r16446, r16447, MPFR_RNDN);
        mpfr_mul(r16449, r16441, r16448, MPFR_RNDN);
        mpfr_mul(r16450, r16442, r16441, MPFR_RNDN);
        mpfr_exp(r16451, r16450, MPFR_RNDN);
        mpfr_sub(r16452, r16451, r16447, MPFR_RNDN);
        mpfr_mul(r16453, r16443, r16441, MPFR_RNDN);
        mpfr_exp(r16454, r16453, MPFR_RNDN);
        mpfr_sub(r16455, r16454, r16447, MPFR_RNDN);
        mpfr_mul(r16456, r16452, r16455, MPFR_RNDN);
        mpfr_div(r16457, r16449, r16456, MPFR_RNDN);
        ;
        mpfr_set_si(r16459, mpfr_cmp(r16457, r16458) <= 0, MPFR_RNDN);
        mpfr_div(r16460, r16447, r16443, MPFR_RNDN);
        mpfr_div(r16461, r16447, r16442, MPFR_RNDN);
        mpfr_add(r16462, r16460, r16461, MPFR_RNDN);
        ;
        mpfr_set_si(r16464, mpfr_cmp(r16457, r16463) <= 0, MPFR_RNDN);
        if (mpfr_get_si(r16464, MPFR_RNDN)) { mpfr_set(r16465, r16462, MPFR_RNDN); } else { mpfr_set(r16465, r16462, MPFR_RNDN); };
        if (mpfr_get_si(r16459, MPFR_RNDN)) { mpfr_set(r16466, r16462, MPFR_RNDN); } else { mpfr_set(r16466, r16465, MPFR_RNDN); };
        return mpfr_get_d(r16466, MPFR_RNDN);
}

static mpfr_t r16467, r16468, r16469, r16470, r16471, r16472, r16473, r16474, r16475, r16476, r16477, r16478, r16479, r16480, r16481, r16482, r16483, r16484, r16485, r16486, r16487, r16488, r16489, r16490, r16491, r16492;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16467);
        mpfr_init(r16468);
        mpfr_init(r16469);
        mpfr_init(r16470);
        mpfr_init(r16471);
        mpfr_init(r16472);
        mpfr_init_set_str(r16473, "1", 10, MPFR_RNDN);
        mpfr_init(r16474);
        mpfr_init(r16475);
        mpfr_init(r16476);
        mpfr_init(r16477);
        mpfr_init(r16478);
        mpfr_init(r16479);
        mpfr_init(r16480);
        mpfr_init(r16481);
        mpfr_init(r16482);
        mpfr_init(r16483);
        mpfr_init_set_str(r16484, "-5.261000094268735e-233", 10, MPFR_RNDN);
        mpfr_init(r16485);
        mpfr_init(r16486);
        mpfr_init(r16487);
        mpfr_init(r16488);
        mpfr_init_set_str(r16489, "7.712899964207506e-180", 10, MPFR_RNDN);
        mpfr_init(r16490);
        mpfr_init(r16491);
        mpfr_init(r16492);
}

double f_dm(double a, double b, double eps) {
        mpfr_set_d(r16467, eps, MPFR_RNDN);
        mpfr_set_d(r16468, a, MPFR_RNDN);
        mpfr_set_d(r16469, b, MPFR_RNDN);
        mpfr_add(r16470, r16468, r16469, MPFR_RNDN);
        mpfr_mul(r16471, r16470, r16467, MPFR_RNDN);
        mpfr_exp(r16472, r16471, MPFR_RNDN);
        ;
        mpfr_sub(r16474, r16472, r16473, MPFR_RNDN);
        mpfr_mul(r16475, r16467, r16474, MPFR_RNDN);
        mpfr_mul(r16476, r16468, r16467, MPFR_RNDN);
        mpfr_exp(r16477, r16476, MPFR_RNDN);
        mpfr_sub(r16478, r16477, r16473, MPFR_RNDN);
        mpfr_mul(r16479, r16469, r16467, MPFR_RNDN);
        mpfr_exp(r16480, r16479, MPFR_RNDN);
        mpfr_sub(r16481, r16480, r16473, MPFR_RNDN);
        mpfr_mul(r16482, r16478, r16481, MPFR_RNDN);
        mpfr_div(r16483, r16475, r16482, MPFR_RNDN);
        ;
        mpfr_set_si(r16485, mpfr_cmp(r16483, r16484) <= 0, MPFR_RNDN);
        mpfr_div(r16486, r16473, r16469, MPFR_RNDN);
        mpfr_div(r16487, r16473, r16468, MPFR_RNDN);
        mpfr_add(r16488, r16486, r16487, MPFR_RNDN);
        ;
        mpfr_set_si(r16490, mpfr_cmp(r16483, r16489) <= 0, MPFR_RNDN);
        if (mpfr_get_si(r16490, MPFR_RNDN)) { mpfr_set(r16491, r16488, MPFR_RNDN); } else { mpfr_set(r16491, r16488, MPFR_RNDN); };
        if (mpfr_get_si(r16485, MPFR_RNDN)) { mpfr_set(r16492, r16488, MPFR_RNDN); } else { mpfr_set(r16492, r16491, MPFR_RNDN); };
        return mpfr_get_d(r16492, MPFR_RNDN);
}

