#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_2, float c) {
        float r23452 = b_2;
        float r23453 = -r23452;
        float r23454 = r23452 * r23452;
        float r23455 = a;
        float r23456 = c;
        float r23457 = r23455 * r23456;
        float r23458 = r23454 - r23457;
        float r23459 = sqrt(r23458);
        float r23460 = r23453 - r23459;
        float r23461 = r23460 / r23455;
        return r23461;
}

double f_id(double a, double b_2, double c) {
        double r23462 = b_2;
        double r23463 = -r23462;
        double r23464 = r23462 * r23462;
        double r23465 = a;
        double r23466 = c;
        double r23467 = r23465 * r23466;
        double r23468 = r23464 - r23467;
        double r23469 = sqrt(r23468);
        double r23470 = r23463 - r23469;
        double r23471 = r23470 / r23465;
        return r23471;
}


double f_of(float a, float b_2, float c) {
        float r23472 = b_2;
        float r23473 = -1.3326732363290293e-08;
        bool r23474 = r23472 <= r23473;
        float r23475 = 1/2;
        float r23476 = -r23475;
        float r23477 = c;
        float r23478 = r23477 / r23472;
        float r23479 = r23476 * r23478;
        float r23480 = -3.8704840429822725e-70;
        bool r23481 = r23472 <= r23480;
        float r23482 = -1.1366593484846204e-98;
        bool r23483 = r23472 <= r23482;
        bool r23484 = r23481 || r23483;
        float r23485 = r23472 * r23472;
        float r23486 = a;
        float r23487 = r23486 * r23477;
        float r23488 = r23485 - r23487;
        float r23489 = sqrt(r23488);
        float r23490 = r23489 - r23472;
        float r23491 = r23477 / r23490;
        float r23492 = expm1(r23491);
        float r23493 = log1p(r23492);
        float r23494 = -6.457435589580916e-106;
        bool r23495 = r23472 <= r23494;
        float r23496 = -r23472;
        float r23497 = r23496 - r23489;
        float r23498 = r23497 / r23486;
        float r23499 = -7.670780076949882e-135;
        bool r23500 = r23472 <= r23499;
        float r23501 = 16578392417.099113;
        bool r23502 = r23472 <= r23501;
        float r23503 = r23475 * r23478;
        float r23504 = 2;
        float r23505 = r23472 / r23486;
        float r23506 = r23504 * r23505;
        float r23507 = r23503 - r23506;
        float r23508 = r23502 ? r23498 : r23507;
        float r23509 = r23500 ? r23479 : r23508;
        float r23510 = r23495 ? r23498 : r23509;
        float r23511 = r23484 ? r23493 : r23510;
        float r23512 = r23474 ? r23479 : r23511;
        return r23512;
}

double f_od(double a, double b_2, double c) {
        double r23513 = b_2;
        double r23514 = -1.3326732363290293e-08;
        bool r23515 = r23513 <= r23514;
        double r23516 = 1/2;
        double r23517 = -r23516;
        double r23518 = c;
        double r23519 = r23518 / r23513;
        double r23520 = r23517 * r23519;
        double r23521 = -3.8704840429822725e-70;
        bool r23522 = r23513 <= r23521;
        double r23523 = -1.1366593484846204e-98;
        bool r23524 = r23513 <= r23523;
        bool r23525 = r23522 || r23524;
        double r23526 = r23513 * r23513;
        double r23527 = a;
        double r23528 = r23527 * r23518;
        double r23529 = r23526 - r23528;
        double r23530 = sqrt(r23529);
        double r23531 = r23530 - r23513;
        double r23532 = r23518 / r23531;
        double r23533 = expm1(r23532);
        double r23534 = log1p(r23533);
        double r23535 = -6.457435589580916e-106;
        bool r23536 = r23513 <= r23535;
        double r23537 = -r23513;
        double r23538 = r23537 - r23530;
        double r23539 = r23538 / r23527;
        double r23540 = -7.670780076949882e-135;
        bool r23541 = r23513 <= r23540;
        double r23542 = 16578392417.099113;
        bool r23543 = r23513 <= r23542;
        double r23544 = r23516 * r23519;
        double r23545 = 2;
        double r23546 = r23513 / r23527;
        double r23547 = r23545 * r23546;
        double r23548 = r23544 - r23547;
        double r23549 = r23543 ? r23539 : r23548;
        double r23550 = r23541 ? r23520 : r23549;
        double r23551 = r23536 ? r23539 : r23550;
        double r23552 = r23525 ? r23534 : r23551;
        double r23553 = r23515 ? r23520 : r23552;
        return r23553;
}

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 r23554, r23555, r23556, r23557, r23558, r23559, r23560, r23561, r23562, r23563;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(3408);
        mpfr_init(r23554);
        mpfr_init(r23555);
        mpfr_init(r23556);
        mpfr_init(r23557);
        mpfr_init(r23558);
        mpfr_init(r23559);
        mpfr_init(r23560);
        mpfr_init(r23561);
        mpfr_init(r23562);
        mpfr_init(r23563);
}

double f_im(double a, double b_2, double c) {
        mpfr_set_d(r23554, b_2, MPFR_RNDN);
        mpfr_neg(r23555, r23554, MPFR_RNDN);
        mpfr_mul(r23556, r23554, r23554, MPFR_RNDN);
        mpfr_set_d(r23557, a, MPFR_RNDN);
        mpfr_set_d(r23558, c, MPFR_RNDN);
        mpfr_mul(r23559, r23557, r23558, MPFR_RNDN);
        mpfr_sub(r23560, r23556, r23559, MPFR_RNDN);
        mpfr_sqrt(r23561, r23560, MPFR_RNDN);
        mpfr_sub(r23562, r23555, r23561, MPFR_RNDN);
        mpfr_div(r23563, r23562, r23557, MPFR_RNDN);
        return mpfr_get_d(r23563, MPFR_RNDN);
}

static mpfr_t r23564, r23565, r23566, r23567, r23568, r23569, r23570, r23571, r23572, r23573, r23574, r23575, r23576, r23577, r23578, r23579, r23580, r23581, r23582, r23583, r23584, r23585, r23586, r23587, r23588, r23589, r23590, r23591, r23592, r23593, r23594, r23595, r23596, r23597, r23598, r23599, r23600, r23601, r23602, r23603, r23604;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(3408);
        mpfr_init(r23564);
        mpfr_init_set_str(r23565, "-1.3326732363290293e-08", 10, MPFR_RNDN);
        mpfr_init(r23566);
        mpfr_init_set_str(r23567, "1/2", 10, MPFR_RNDN);
        mpfr_init(r23568);
        mpfr_init(r23569);
        mpfr_init(r23570);
        mpfr_init(r23571);
        mpfr_init_set_str(r23572, "-3.8704840429822725e-70", 10, MPFR_RNDN);
        mpfr_init(r23573);
        mpfr_init_set_str(r23574, "-1.1366593484846204e-98", 10, MPFR_RNDN);
        mpfr_init(r23575);
        mpfr_init(r23576);
        mpfr_init(r23577);
        mpfr_init(r23578);
        mpfr_init(r23579);
        mpfr_init(r23580);
        mpfr_init(r23581);
        mpfr_init(r23582);
        mpfr_init(r23583);
        mpfr_init(r23584);
        mpfr_init(r23585);
        mpfr_init_set_str(r23586, "-6.457435589580916e-106", 10, MPFR_RNDN);
        mpfr_init(r23587);
        mpfr_init(r23588);
        mpfr_init(r23589);
        mpfr_init(r23590);
        mpfr_init_set_str(r23591, "-7.670780076949882e-135", 10, MPFR_RNDN);
        mpfr_init(r23592);
        mpfr_init_set_str(r23593, "16578392417.099113", 10, MPFR_RNDN);
        mpfr_init(r23594);
        mpfr_init(r23595);
        mpfr_init_set_str(r23596, "2", 10, MPFR_RNDN);
        mpfr_init(r23597);
        mpfr_init(r23598);
        mpfr_init(r23599);
        mpfr_init(r23600);
        mpfr_init(r23601);
        mpfr_init(r23602);
        mpfr_init(r23603);
        mpfr_init(r23604);
}

double f_fm(double a, double b_2, double c) {
        mpfr_set_d(r23564, b_2, MPFR_RNDN);
        ;
        mpfr_set_si(r23566, mpfr_cmp(r23564, r23565) <= 0, MPFR_RNDN);
        ;
        mpfr_neg(r23568, r23567, MPFR_RNDN);
        mpfr_set_d(r23569, c, MPFR_RNDN);
        mpfr_div(r23570, r23569, r23564, MPFR_RNDN);
        mpfr_mul(r23571, r23568, r23570, MPFR_RNDN);
        ;
        mpfr_set_si(r23573, mpfr_cmp(r23564, r23572) <= 0, MPFR_RNDN);
        ;
        mpfr_set_si(r23575, mpfr_cmp(r23564, r23574) <= 0, MPFR_RNDN);
        mpfr_set_si(r23576, mpfr_get_si(r23573, MPFR_RNDN) || mpfr_get_si(r23575, MPFR_RNDN), MPFR_RNDN);
        mpfr_mul(r23577, r23564, r23564, MPFR_RNDN);
        mpfr_set_d(r23578, a, MPFR_RNDN);
        mpfr_mul(r23579, r23578, r23569, MPFR_RNDN);
        mpfr_sub(r23580, r23577, r23579, MPFR_RNDN);
        mpfr_sqrt(r23581, r23580, MPFR_RNDN);
        mpfr_sub(r23582, r23581, r23564, MPFR_RNDN);
        mpfr_div(r23583, r23569, r23582, MPFR_RNDN);
        mpfr_expm1(r23584, r23583, MPFR_RNDN);
        mpfr_log1p(r23585, r23584, MPFR_RNDN);
        ;
        mpfr_set_si(r23587, mpfr_cmp(r23564, r23586) <= 0, MPFR_RNDN);
        mpfr_neg(r23588, r23564, MPFR_RNDN);
        mpfr_sub(r23589, r23588, r23581, MPFR_RNDN);
        mpfr_div(r23590, r23589, r23578, MPFR_RNDN);
        ;
        mpfr_set_si(r23592, mpfr_cmp(r23564, r23591) <= 0, MPFR_RNDN);
        ;
        mpfr_set_si(r23594, mpfr_cmp(r23564, r23593) <= 0, MPFR_RNDN);
        mpfr_mul(r23595, r23567, r23570, MPFR_RNDN);
        ;
        mpfr_div(r23597, r23564, r23578, MPFR_RNDN);
        mpfr_mul(r23598, r23596, r23597, MPFR_RNDN);
        mpfr_sub(r23599, r23595, r23598, MPFR_RNDN);
        if (mpfr_get_si(r23594, MPFR_RNDN)) { mpfr_set(r23600, r23590, MPFR_RNDN); } else { mpfr_set(r23600, r23599, MPFR_RNDN); };
        if (mpfr_get_si(r23592, MPFR_RNDN)) { mpfr_set(r23601, r23571, MPFR_RNDN); } else { mpfr_set(r23601, r23600, MPFR_RNDN); };
        if (mpfr_get_si(r23587, MPFR_RNDN)) { mpfr_set(r23602, r23590, MPFR_RNDN); } else { mpfr_set(r23602, r23601, MPFR_RNDN); };
        if (mpfr_get_si(r23576, MPFR_RNDN)) { mpfr_set(r23603, r23585, MPFR_RNDN); } else { mpfr_set(r23603, r23602, MPFR_RNDN); };
        if (mpfr_get_si(r23566, MPFR_RNDN)) { mpfr_set(r23604, r23571, MPFR_RNDN); } else { mpfr_set(r23604, r23603, MPFR_RNDN); };
        return mpfr_get_d(r23604, MPFR_RNDN);
}

static mpfr_t r23605, r23606, r23607, r23608, r23609, r23610, r23611, r23612, r23613, r23614, r23615, r23616, r23617, r23618, r23619, r23620, r23621, r23622, r23623, r23624, r23625, r23626, r23627, r23628, r23629, r23630, r23631, r23632, r23633, r23634, r23635, r23636, r23637, r23638, r23639, r23640, r23641, r23642, r23643, r23644, r23645;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(3408);
        mpfr_init(r23605);
        mpfr_init_set_str(r23606, "-1.3326732363290293e-08", 10, MPFR_RNDN);
        mpfr_init(r23607);
        mpfr_init_set_str(r23608, "1/2", 10, MPFR_RNDN);
        mpfr_init(r23609);
        mpfr_init(r23610);
        mpfr_init(r23611);
        mpfr_init(r23612);
        mpfr_init_set_str(r23613, "-3.8704840429822725e-70", 10, MPFR_RNDN);
        mpfr_init(r23614);
        mpfr_init_set_str(r23615, "-1.1366593484846204e-98", 10, MPFR_RNDN);
        mpfr_init(r23616);
        mpfr_init(r23617);
        mpfr_init(r23618);
        mpfr_init(r23619);
        mpfr_init(r23620);
        mpfr_init(r23621);
        mpfr_init(r23622);
        mpfr_init(r23623);
        mpfr_init(r23624);
        mpfr_init(r23625);
        mpfr_init(r23626);
        mpfr_init_set_str(r23627, "-6.457435589580916e-106", 10, MPFR_RNDN);
        mpfr_init(r23628);
        mpfr_init(r23629);
        mpfr_init(r23630);
        mpfr_init(r23631);
        mpfr_init_set_str(r23632, "-7.670780076949882e-135", 10, MPFR_RNDN);
        mpfr_init(r23633);
        mpfr_init_set_str(r23634, "16578392417.099113", 10, MPFR_RNDN);
        mpfr_init(r23635);
        mpfr_init(r23636);
        mpfr_init_set_str(r23637, "2", 10, MPFR_RNDN);
        mpfr_init(r23638);
        mpfr_init(r23639);
        mpfr_init(r23640);
        mpfr_init(r23641);
        mpfr_init(r23642);
        mpfr_init(r23643);
        mpfr_init(r23644);
        mpfr_init(r23645);
}

double f_dm(double a, double b_2, double c) {
        mpfr_set_d(r23605, b_2, MPFR_RNDN);
        ;
        mpfr_set_si(r23607, mpfr_cmp(r23605, r23606) <= 0, MPFR_RNDN);
        ;
        mpfr_neg(r23609, r23608, MPFR_RNDN);
        mpfr_set_d(r23610, c, MPFR_RNDN);
        mpfr_div(r23611, r23610, r23605, MPFR_RNDN);
        mpfr_mul(r23612, r23609, r23611, MPFR_RNDN);
        ;
        mpfr_set_si(r23614, mpfr_cmp(r23605, r23613) <= 0, MPFR_RNDN);
        ;
        mpfr_set_si(r23616, mpfr_cmp(r23605, r23615) <= 0, MPFR_RNDN);
        mpfr_set_si(r23617, mpfr_get_si(r23614, MPFR_RNDN) || mpfr_get_si(r23616, MPFR_RNDN), MPFR_RNDN);
        mpfr_mul(r23618, r23605, r23605, MPFR_RNDN);
        mpfr_set_d(r23619, a, MPFR_RNDN);
        mpfr_mul(r23620, r23619, r23610, MPFR_RNDN);
        mpfr_sub(r23621, r23618, r23620, MPFR_RNDN);
        mpfr_sqrt(r23622, r23621, MPFR_RNDN);
        mpfr_sub(r23623, r23622, r23605, MPFR_RNDN);
        mpfr_div(r23624, r23610, r23623, MPFR_RNDN);
        mpfr_expm1(r23625, r23624, MPFR_RNDN);
        mpfr_log1p(r23626, r23625, MPFR_RNDN);
        ;
        mpfr_set_si(r23628, mpfr_cmp(r23605, r23627) <= 0, MPFR_RNDN);
        mpfr_neg(r23629, r23605, MPFR_RNDN);
        mpfr_sub(r23630, r23629, r23622, MPFR_RNDN);
        mpfr_div(r23631, r23630, r23619, MPFR_RNDN);
        ;
        mpfr_set_si(r23633, mpfr_cmp(r23605, r23632) <= 0, MPFR_RNDN);
        ;
        mpfr_set_si(r23635, mpfr_cmp(r23605, r23634) <= 0, MPFR_RNDN);
        mpfr_mul(r23636, r23608, r23611, MPFR_RNDN);
        ;
        mpfr_div(r23638, r23605, r23619, MPFR_RNDN);
        mpfr_mul(r23639, r23637, r23638, MPFR_RNDN);
        mpfr_sub(r23640, r23636, r23639, MPFR_RNDN);
        if (mpfr_get_si(r23635, MPFR_RNDN)) { mpfr_set(r23641, r23631, MPFR_RNDN); } else { mpfr_set(r23641, r23640, MPFR_RNDN); };
        if (mpfr_get_si(r23633, MPFR_RNDN)) { mpfr_set(r23642, r23612, MPFR_RNDN); } else { mpfr_set(r23642, r23641, MPFR_RNDN); };
        if (mpfr_get_si(r23628, MPFR_RNDN)) { mpfr_set(r23643, r23631, MPFR_RNDN); } else { mpfr_set(r23643, r23642, MPFR_RNDN); };
        if (mpfr_get_si(r23617, MPFR_RNDN)) { mpfr_set(r23644, r23626, MPFR_RNDN); } else { mpfr_set(r23644, r23643, MPFR_RNDN); };
        if (mpfr_get_si(r23607, MPFR_RNDN)) { mpfr_set(r23645, r23612, MPFR_RNDN); } else { mpfr_set(r23645, r23644, MPFR_RNDN); };
        return mpfr_get_d(r23645, MPFR_RNDN);
}

