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

char *name = "NMSE problem 3.2.1";

double f_if(float a, float b_2F2, float c) {
        float r16456 = b_2F2;
        float r16457 = -r16456;
        float r16458 = r16456 * r16456;
        float r16459 = a;
        float r16460 = c;
        float r16461 = r16459 * r16460;
        float r16462 = r16458 - r16461;
        float r16463 = sqrt(r16462);
        float r16464 = r16457 - r16463;
        float r16465 = r16464 / r16459;
        return r16465;
}

double f_id(double a, double b_2F2, double c) {
        double r16466 = b_2F2;
        double r16467 = -r16466;
        double r16468 = r16466 * r16466;
        double r16469 = a;
        double r16470 = c;
        double r16471 = r16469 * r16470;
        double r16472 = r16468 - r16471;
        double r16473 = sqrt(r16472);
        double r16474 = r16467 - r16473;
        double r16475 = r16474 / r16469;
        return r16475;
}


double f_of(float a, float b_2F2, float c) {
        float r16476 = b_2F2;
        float r16477 = -7.080805652591413e-28f;
        bool r16478 = r16476 <= r16477;
        float r16479 = c;
        float r16480 = 0.5f;
        float r16481 = r16480 * r16479;
        float r16482 = a;
        float r16483 = r16482 / r16476;
        float r16484 = r16481 * r16483;
        float r16485 = 2.0f;
        float r16486 = r16485 * r16476;
        float r16487 = r16484 - r16486;
        float r16488 = r16479 / r16487;
        float r16489 = -1.6753920190774815e-283f;
        bool r16490 = r16476 <= r16489;
        float r16491 = 1.0f;
        float r16492 = r16482 / r16491;
        float r16493 = -r16476;
        float r16494 = r16476 * r16476;
        float r16495 = r16482 * r16479;
        float r16496 = r16494 - r16495;
        float r16497 = sqrt(r16496);
        float r16498 = r16493 + r16497;
        float r16499 = r16479 / r16498;
        float r16500 = r16492 * r16499;
        float r16501 = r16500 / r16482;
        float r16502 = 2.2736054037680634e+124f;
        bool r16503 = r16476 <= r16502;
        float r16504 = r16493 / r16482;
        float r16505 = r16497 / r16482;
        float r16506 = r16504 - r16505;
        float r16507 = r16476 / r16479;
        float r16508 = r16480 / r16507;
        float r16509 = r16476 / r16482;
        float r16510 = r16509 * r16485;
        float r16511 = r16508 - r16510;
        float r16512 = r16503 ? r16506 : r16511;
        float r16513 = r16490 ? r16501 : r16512;
        float r16514 = r16478 ? r16488 : r16513;
        return r16514;
}

double f_od(double a, double b_2F2, double c) {
        double r16515 = b_2F2;
        double r16516 = -7.080805652591413e-28;
        bool r16517 = r16515 <= r16516;
        double r16518 = c;
        double r16519 = 0.5;
        double r16520 = r16519 * r16518;
        double r16521 = a;
        double r16522 = r16521 / r16515;
        double r16523 = r16520 * r16522;
        double r16524 = 2.0;
        double r16525 = r16524 * r16515;
        double r16526 = r16523 - r16525;
        double r16527 = r16518 / r16526;
        double r16528 = -1.6753920190774815e-283;
        bool r16529 = r16515 <= r16528;
        double r16530 = 1.0;
        double r16531 = r16521 / r16530;
        double r16532 = -r16515;
        double r16533 = r16515 * r16515;
        double r16534 = r16521 * r16518;
        double r16535 = r16533 - r16534;
        double r16536 = sqrt(r16535);
        double r16537 = r16532 + r16536;
        double r16538 = r16518 / r16537;
        double r16539 = r16531 * r16538;
        double r16540 = r16539 / r16521;
        double r16541 = 2.2736054037680634e+124;
        bool r16542 = r16515 <= r16541;
        double r16543 = r16532 / r16521;
        double r16544 = r16536 / r16521;
        double r16545 = r16543 - r16544;
        double r16546 = r16515 / r16518;
        double r16547 = r16519 / r16546;
        double r16548 = r16515 / r16521;
        double r16549 = r16548 * r16524;
        double r16550 = r16547 - r16549;
        double r16551 = r16542 ? r16545 : r16550;
        double r16552 = r16529 ? r16540 : r16551;
        double r16553 = r16517 ? r16527 : r16552;
        return r16553;
}

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 r16554, r16555, r16556, r16557, r16558, r16559, r16560, r16561, r16562, r16563;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r16554);
        mpfr_init(r16555);
        mpfr_init(r16556);
        mpfr_init(r16557);
        mpfr_init(r16558);
        mpfr_init(r16559);
        mpfr_init(r16560);
        mpfr_init(r16561);
        mpfr_init(r16562);
        mpfr_init(r16563);
}

double f_im(double a, double b_2F2, double c) {
        mpfr_set_d(r16554, b_2F2, MPFR_RNDN);
        mpfr_neg(r16555, r16554, MPFR_RNDN);
        mpfr_sqr(r16556, r16554, MPFR_RNDN);
        mpfr_set_d(r16557, a, MPFR_RNDN);
        mpfr_set_d(r16558, c, MPFR_RNDN);
        mpfr_mul(r16559, r16557, r16558, MPFR_RNDN);
        mpfr_sub(r16560, r16556, r16559, MPFR_RNDN);
        mpfr_sqrt(r16561, r16560, MPFR_RNDN);
        mpfr_sub(r16562, r16555, r16561, MPFR_RNDN);
        mpfr_div(r16563, r16562, r16557, MPFR_RNDN);
        return mpfr_get_d(r16563, MPFR_RNDN);
}

static mpfr_t r16564, r16565, r16566, r16567, r16568, r16569, r16570, r16571, r16572, r16573, r16574, r16575, r16576, r16577, r16578, r16579, r16580, r16581, r16582, r16583, r16584, r16585, r16586, r16587, r16588, r16589, r16590, r16591, r16592, r16593, r16594, r16595, r16596, r16597, r16598, r16599, r16600, r16601, r16602;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16564);
        mpfr_init_set_str(r16565, "-7.080805652591413e-28", 10, MPFR_RNDN);
        mpfr_init(r16566);
        mpfr_init(r16567);
        mpfr_init_set_str(r16568, "1/2", 10, MPFR_RNDN);
        mpfr_init(r16569);
        mpfr_init(r16570);
        mpfr_init(r16571);
        mpfr_init(r16572);
        mpfr_init_set_str(r16573, "2", 10, MPFR_RNDN);
        mpfr_init(r16574);
        mpfr_init(r16575);
        mpfr_init(r16576);
        mpfr_init_set_str(r16577, "-1.6753920190774815e-283", 10, MPFR_RNDN);
        mpfr_init(r16578);
        mpfr_init_set_str(r16579, "1", 10, MPFR_RNDN);
        mpfr_init(r16580);
        mpfr_init(r16581);
        mpfr_init(r16582);
        mpfr_init(r16583);
        mpfr_init(r16584);
        mpfr_init(r16585);
        mpfr_init(r16586);
        mpfr_init(r16587);
        mpfr_init(r16588);
        mpfr_init(r16589);
        mpfr_init_set_str(r16590, "2.2736054037680634e+124", 10, MPFR_RNDN);
        mpfr_init(r16591);
        mpfr_init(r16592);
        mpfr_init(r16593);
        mpfr_init(r16594);
        mpfr_init(r16595);
        mpfr_init(r16596);
        mpfr_init(r16597);
        mpfr_init(r16598);
        mpfr_init(r16599);
        mpfr_init(r16600);
        mpfr_init(r16601);
        mpfr_init(r16602);
}

double f_fm(double a, double b_2F2, double c) {
        mpfr_set_d(r16564, b_2F2, MPFR_RNDN);
        ;
        mpfr_set_si(r16566, mpfr_cmp(r16564, r16565) <= 0, MPFR_RNDN);
        mpfr_set_d(r16567, c, MPFR_RNDN);
        ;
        mpfr_mul(r16569, r16568, r16567, MPFR_RNDN);
        mpfr_set_d(r16570, a, MPFR_RNDN);
        mpfr_div(r16571, r16570, r16564, MPFR_RNDN);
        mpfr_mul(r16572, r16569, r16571, MPFR_RNDN);
        ;
        mpfr_mul(r16574, r16573, r16564, MPFR_RNDN);
        mpfr_sub(r16575, r16572, r16574, MPFR_RNDN);
        mpfr_div(r16576, r16567, r16575, MPFR_RNDN);
        ;
        mpfr_set_si(r16578, mpfr_cmp(r16564, r16577) <= 0, MPFR_RNDN);
        ;
        mpfr_div(r16580, r16570, r16579, MPFR_RNDN);
        mpfr_neg(r16581, r16564, MPFR_RNDN);
        mpfr_sqr(r16582, r16564, MPFR_RNDN);
        mpfr_mul(r16583, r16570, r16567, MPFR_RNDN);
        mpfr_sub(r16584, r16582, r16583, MPFR_RNDN);
        mpfr_sqrt(r16585, r16584, MPFR_RNDN);
        mpfr_add(r16586, r16581, r16585, MPFR_RNDN);
        mpfr_div(r16587, r16567, r16586, MPFR_RNDN);
        mpfr_mul(r16588, r16580, r16587, MPFR_RNDN);
        mpfr_div(r16589, r16588, r16570, MPFR_RNDN);
        ;
        mpfr_set_si(r16591, mpfr_cmp(r16564, r16590) <= 0, MPFR_RNDN);
        mpfr_div(r16592, r16581, r16570, MPFR_RNDN);
        mpfr_div(r16593, r16585, r16570, MPFR_RNDN);
        mpfr_sub(r16594, r16592, r16593, MPFR_RNDN);
        mpfr_div(r16595, r16564, r16567, MPFR_RNDN);
        mpfr_div(r16596, r16568, r16595, MPFR_RNDN);
        mpfr_div(r16597, r16564, r16570, MPFR_RNDN);
        mpfr_mul(r16598, r16597, r16573, MPFR_RNDN);
        mpfr_sub(r16599, r16596, r16598, MPFR_RNDN);
        if (mpfr_get_si(r16591, MPFR_RNDN)) { mpfr_set(r16600, r16594, MPFR_RNDN); } else { mpfr_set(r16600, r16599, MPFR_RNDN); };
        if (mpfr_get_si(r16578, MPFR_RNDN)) { mpfr_set(r16601, r16589, MPFR_RNDN); } else { mpfr_set(r16601, r16600, MPFR_RNDN); };
        if (mpfr_get_si(r16566, MPFR_RNDN)) { mpfr_set(r16602, r16576, MPFR_RNDN); } else { mpfr_set(r16602, r16601, MPFR_RNDN); };
        return mpfr_get_d(r16602, MPFR_RNDN);
}

static mpfr_t r16603, r16604, r16605, r16606, r16607, r16608, r16609, r16610, r16611, r16612, r16613, r16614, r16615, r16616, r16617, r16618, r16619, r16620, r16621, r16622, r16623, r16624, r16625, r16626, r16627, r16628, r16629, r16630, r16631, r16632, r16633, r16634, r16635, r16636, r16637, r16638, r16639, r16640, r16641;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16603);
        mpfr_init_set_str(r16604, "-7.080805652591413e-28", 10, MPFR_RNDN);
        mpfr_init(r16605);
        mpfr_init(r16606);
        mpfr_init_set_str(r16607, "1/2", 10, MPFR_RNDN);
        mpfr_init(r16608);
        mpfr_init(r16609);
        mpfr_init(r16610);
        mpfr_init(r16611);
        mpfr_init_set_str(r16612, "2", 10, MPFR_RNDN);
        mpfr_init(r16613);
        mpfr_init(r16614);
        mpfr_init(r16615);
        mpfr_init_set_str(r16616, "-1.6753920190774815e-283", 10, MPFR_RNDN);
        mpfr_init(r16617);
        mpfr_init_set_str(r16618, "1", 10, MPFR_RNDN);
        mpfr_init(r16619);
        mpfr_init(r16620);
        mpfr_init(r16621);
        mpfr_init(r16622);
        mpfr_init(r16623);
        mpfr_init(r16624);
        mpfr_init(r16625);
        mpfr_init(r16626);
        mpfr_init(r16627);
        mpfr_init(r16628);
        mpfr_init_set_str(r16629, "2.2736054037680634e+124", 10, MPFR_RNDN);
        mpfr_init(r16630);
        mpfr_init(r16631);
        mpfr_init(r16632);
        mpfr_init(r16633);
        mpfr_init(r16634);
        mpfr_init(r16635);
        mpfr_init(r16636);
        mpfr_init(r16637);
        mpfr_init(r16638);
        mpfr_init(r16639);
        mpfr_init(r16640);
        mpfr_init(r16641);
}

double f_dm(double a, double b_2F2, double c) {
        mpfr_set_d(r16603, b_2F2, MPFR_RNDN);
        ;
        mpfr_set_si(r16605, mpfr_cmp(r16603, r16604) <= 0, MPFR_RNDN);
        mpfr_set_d(r16606, c, MPFR_RNDN);
        ;
        mpfr_mul(r16608, r16607, r16606, MPFR_RNDN);
        mpfr_set_d(r16609, a, MPFR_RNDN);
        mpfr_div(r16610, r16609, r16603, MPFR_RNDN);
        mpfr_mul(r16611, r16608, r16610, MPFR_RNDN);
        ;
        mpfr_mul(r16613, r16612, r16603, MPFR_RNDN);
        mpfr_sub(r16614, r16611, r16613, MPFR_RNDN);
        mpfr_div(r16615, r16606, r16614, MPFR_RNDN);
        ;
        mpfr_set_si(r16617, mpfr_cmp(r16603, r16616) <= 0, MPFR_RNDN);
        ;
        mpfr_div(r16619, r16609, r16618, MPFR_RNDN);
        mpfr_neg(r16620, r16603, MPFR_RNDN);
        mpfr_sqr(r16621, r16603, MPFR_RNDN);
        mpfr_mul(r16622, r16609, r16606, MPFR_RNDN);
        mpfr_sub(r16623, r16621, r16622, MPFR_RNDN);
        mpfr_sqrt(r16624, r16623, MPFR_RNDN);
        mpfr_add(r16625, r16620, r16624, MPFR_RNDN);
        mpfr_div(r16626, r16606, r16625, MPFR_RNDN);
        mpfr_mul(r16627, r16619, r16626, MPFR_RNDN);
        mpfr_div(r16628, r16627, r16609, MPFR_RNDN);
        ;
        mpfr_set_si(r16630, mpfr_cmp(r16603, r16629) <= 0, MPFR_RNDN);
        mpfr_div(r16631, r16620, r16609, MPFR_RNDN);
        mpfr_div(r16632, r16624, r16609, MPFR_RNDN);
        mpfr_sub(r16633, r16631, r16632, MPFR_RNDN);
        mpfr_div(r16634, r16603, r16606, MPFR_RNDN);
        mpfr_div(r16635, r16607, r16634, MPFR_RNDN);
        mpfr_div(r16636, r16603, r16609, MPFR_RNDN);
        mpfr_mul(r16637, r16636, r16612, MPFR_RNDN);
        mpfr_sub(r16638, r16635, r16637, MPFR_RNDN);
        if (mpfr_get_si(r16630, MPFR_RNDN)) { mpfr_set(r16639, r16633, MPFR_RNDN); } else { mpfr_set(r16639, r16638, MPFR_RNDN); };
        if (mpfr_get_si(r16617, MPFR_RNDN)) { mpfr_set(r16640, r16628, MPFR_RNDN); } else { mpfr_set(r16640, r16639, MPFR_RNDN); };
        if (mpfr_get_si(r16605, MPFR_RNDN)) { mpfr_set(r16641, r16615, MPFR_RNDN); } else { mpfr_set(r16641, r16640, MPFR_RNDN); };
        return mpfr_get_d(r16641, MPFR_RNDN);
}

