#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 r23568 = b_2;
        float r23569 = -r23568;
        float r23570 = r23568 * r23568;
        float r23571 = a;
        float r23572 = c;
        float r23573 = r23571 * r23572;
        float r23574 = r23570 - r23573;
        float r23575 = sqrt(r23574);
        float r23576 = r23569 - r23575;
        float r23577 = r23576 / r23571;
        return r23577;
}

double f_id(double a, double b_2, double c) {
        double r23578 = b_2;
        double r23579 = -r23578;
        double r23580 = r23578 * r23578;
        double r23581 = a;
        double r23582 = c;
        double r23583 = r23581 * r23582;
        double r23584 = r23580 - r23583;
        double r23585 = sqrt(r23584);
        double r23586 = r23579 - r23585;
        double r23587 = r23586 / r23581;
        return r23587;
}


double f_of(float a, float b_2, float c) {
        float r23588 = b_2;
        float r23589 = -1.6632683873977278e-40;
        bool r23590 = r23588 <= r23589;
        float r23591 = -1/2;
        float r23592 = c;
        float r23593 = r23592 / r23588;
        float r23594 = r23591 * r23593;
        float r23595 = 2.458226310694438e+128;
        bool r23596 = r23588 <= r23595;
        float r23597 = -r23588;
        float r23598 = a;
        float r23599 = r23597 / r23598;
        float r23600 = r23588 * r23588;
        float r23601 = r23598 * r23592;
        float r23602 = r23600 - r23601;
        float r23603 = sqrt(r23602);
        float r23604 = r23603 / r23598;
        float r23605 = r23599 - r23604;
        float r23606 = 1/2;
        float r23607 = r23588 / r23592;
        float r23608 = r23606 / r23607;
        float r23609 = 2;
        float r23610 = r23609 / r23598;
        float r23611 = r23588 * r23610;
        float r23612 = r23608 - r23611;
        float r23613 = r23596 ? r23605 : r23612;
        float r23614 = r23590 ? r23594 : r23613;
        return r23614;
}

double f_od(double a, double b_2, double c) {
        double r23615 = b_2;
        double r23616 = -1.6632683873977278e-40;
        bool r23617 = r23615 <= r23616;
        double r23618 = -1/2;
        double r23619 = c;
        double r23620 = r23619 / r23615;
        double r23621 = r23618 * r23620;
        double r23622 = 2.458226310694438e+128;
        bool r23623 = r23615 <= r23622;
        double r23624 = -r23615;
        double r23625 = a;
        double r23626 = r23624 / r23625;
        double r23627 = r23615 * r23615;
        double r23628 = r23625 * r23619;
        double r23629 = r23627 - r23628;
        double r23630 = sqrt(r23629);
        double r23631 = r23630 / r23625;
        double r23632 = r23626 - r23631;
        double r23633 = 1/2;
        double r23634 = r23615 / r23619;
        double r23635 = r23633 / r23634;
        double r23636 = 2;
        double r23637 = r23636 / r23625;
        double r23638 = r23615 * r23637;
        double r23639 = r23635 - r23638;
        double r23640 = r23623 ? r23632 : r23639;
        double r23641 = r23617 ? r23621 : r23640;
        return r23641;
}

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 r23642, r23643, r23644, r23645, r23646, r23647, r23648, r23649, r23650, r23651;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(3408);
        mpfr_init(r23642);
        mpfr_init(r23643);
        mpfr_init(r23644);
        mpfr_init(r23645);
        mpfr_init(r23646);
        mpfr_init(r23647);
        mpfr_init(r23648);
        mpfr_init(r23649);
        mpfr_init(r23650);
        mpfr_init(r23651);
}

double f_im(double a, double b_2, double c) {
        mpfr_set_d(r23642, b_2, MPFR_RNDN);
        mpfr_neg(r23643, r23642, MPFR_RNDN);
        mpfr_mul(r23644, r23642, r23642, MPFR_RNDN);
        mpfr_set_d(r23645, a, MPFR_RNDN);
        mpfr_set_d(r23646, c, MPFR_RNDN);
        mpfr_mul(r23647, r23645, r23646, MPFR_RNDN);
        mpfr_sub(r23648, r23644, r23647, MPFR_RNDN);
        mpfr_sqrt(r23649, r23648, MPFR_RNDN);
        mpfr_sub(r23650, r23643, r23649, MPFR_RNDN);
        mpfr_div(r23651, r23650, r23645, MPFR_RNDN);
        return mpfr_get_d(r23651, MPFR_RNDN);
}

static mpfr_t r23652, r23653, r23654, r23655, r23656, r23657, r23658, r23659, r23660, r23661, r23662, r23663, r23664, r23665, r23666, r23667, r23668, r23669, r23670, r23671, r23672, r23673, r23674, r23675, r23676, r23677, r23678;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(3408);
        mpfr_init(r23652);
        mpfr_init_set_str(r23653, "-1.6632683873977278e-40", 10, MPFR_RNDN);
        mpfr_init(r23654);
        mpfr_init_set_str(r23655, "-1/2", 10, MPFR_RNDN);
        mpfr_init(r23656);
        mpfr_init(r23657);
        mpfr_init(r23658);
        mpfr_init_set_str(r23659, "2.458226310694438e+128", 10, MPFR_RNDN);
        mpfr_init(r23660);
        mpfr_init(r23661);
        mpfr_init(r23662);
        mpfr_init(r23663);
        mpfr_init(r23664);
        mpfr_init(r23665);
        mpfr_init(r23666);
        mpfr_init(r23667);
        mpfr_init(r23668);
        mpfr_init(r23669);
        mpfr_init_set_str(r23670, "1/2", 10, MPFR_RNDN);
        mpfr_init(r23671);
        mpfr_init(r23672);
        mpfr_init_set_str(r23673, "2", 10, MPFR_RNDN);
        mpfr_init(r23674);
        mpfr_init(r23675);
        mpfr_init(r23676);
        mpfr_init(r23677);
        mpfr_init(r23678);
}

double f_fm(double a, double b_2, double c) {
        mpfr_set_d(r23652, b_2, MPFR_RNDN);
        ;
        mpfr_set_si(r23654, mpfr_cmp(r23652, r23653) <= 0, MPFR_RNDN);
        ;
        mpfr_set_d(r23656, c, MPFR_RNDN);
        mpfr_div(r23657, r23656, r23652, MPFR_RNDN);
        mpfr_mul(r23658, r23655, r23657, MPFR_RNDN);
        ;
        mpfr_set_si(r23660, mpfr_cmp(r23652, r23659) <= 0, MPFR_RNDN);
        mpfr_neg(r23661, r23652, MPFR_RNDN);
        mpfr_set_d(r23662, a, MPFR_RNDN);
        mpfr_div(r23663, r23661, r23662, MPFR_RNDN);
        mpfr_mul(r23664, r23652, r23652, MPFR_RNDN);
        mpfr_mul(r23665, r23662, r23656, MPFR_RNDN);
        mpfr_sub(r23666, r23664, r23665, MPFR_RNDN);
        mpfr_sqrt(r23667, r23666, MPFR_RNDN);
        mpfr_div(r23668, r23667, r23662, MPFR_RNDN);
        mpfr_sub(r23669, r23663, r23668, MPFR_RNDN);
        ;
        mpfr_div(r23671, r23652, r23656, MPFR_RNDN);
        mpfr_div(r23672, r23670, r23671, MPFR_RNDN);
        ;
        mpfr_div(r23674, r23673, r23662, MPFR_RNDN);
        mpfr_mul(r23675, r23652, r23674, MPFR_RNDN);
        mpfr_sub(r23676, r23672, r23675, MPFR_RNDN);
        if (mpfr_get_si(r23660, MPFR_RNDN)) { mpfr_set(r23677, r23669, MPFR_RNDN); } else { mpfr_set(r23677, r23676, MPFR_RNDN); };
        if (mpfr_get_si(r23654, MPFR_RNDN)) { mpfr_set(r23678, r23658, MPFR_RNDN); } else { mpfr_set(r23678, r23677, MPFR_RNDN); };
        return mpfr_get_d(r23678, MPFR_RNDN);
}

static mpfr_t r23679, r23680, r23681, r23682, r23683, r23684, r23685, r23686, r23687, r23688, r23689, r23690, r23691, r23692, r23693, r23694, r23695, r23696, r23697, r23698, r23699, r23700, r23701, r23702, r23703, r23704, r23705;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(3408);
        mpfr_init(r23679);
        mpfr_init_set_str(r23680, "-1.6632683873977278e-40", 10, MPFR_RNDN);
        mpfr_init(r23681);
        mpfr_init_set_str(r23682, "-1/2", 10, MPFR_RNDN);
        mpfr_init(r23683);
        mpfr_init(r23684);
        mpfr_init(r23685);
        mpfr_init_set_str(r23686, "2.458226310694438e+128", 10, MPFR_RNDN);
        mpfr_init(r23687);
        mpfr_init(r23688);
        mpfr_init(r23689);
        mpfr_init(r23690);
        mpfr_init(r23691);
        mpfr_init(r23692);
        mpfr_init(r23693);
        mpfr_init(r23694);
        mpfr_init(r23695);
        mpfr_init(r23696);
        mpfr_init_set_str(r23697, "1/2", 10, MPFR_RNDN);
        mpfr_init(r23698);
        mpfr_init(r23699);
        mpfr_init_set_str(r23700, "2", 10, MPFR_RNDN);
        mpfr_init(r23701);
        mpfr_init(r23702);
        mpfr_init(r23703);
        mpfr_init(r23704);
        mpfr_init(r23705);
}

double f_dm(double a, double b_2, double c) {
        mpfr_set_d(r23679, b_2, MPFR_RNDN);
        ;
        mpfr_set_si(r23681, mpfr_cmp(r23679, r23680) <= 0, MPFR_RNDN);
        ;
        mpfr_set_d(r23683, c, MPFR_RNDN);
        mpfr_div(r23684, r23683, r23679, MPFR_RNDN);
        mpfr_mul(r23685, r23682, r23684, MPFR_RNDN);
        ;
        mpfr_set_si(r23687, mpfr_cmp(r23679, r23686) <= 0, MPFR_RNDN);
        mpfr_neg(r23688, r23679, MPFR_RNDN);
        mpfr_set_d(r23689, a, MPFR_RNDN);
        mpfr_div(r23690, r23688, r23689, MPFR_RNDN);
        mpfr_mul(r23691, r23679, r23679, MPFR_RNDN);
        mpfr_mul(r23692, r23689, r23683, MPFR_RNDN);
        mpfr_sub(r23693, r23691, r23692, MPFR_RNDN);
        mpfr_sqrt(r23694, r23693, MPFR_RNDN);
        mpfr_div(r23695, r23694, r23689, MPFR_RNDN);
        mpfr_sub(r23696, r23690, r23695, MPFR_RNDN);
        ;
        mpfr_div(r23698, r23679, r23683, MPFR_RNDN);
        mpfr_div(r23699, r23697, r23698, MPFR_RNDN);
        ;
        mpfr_div(r23701, r23700, r23689, MPFR_RNDN);
        mpfr_mul(r23702, r23679, r23701, MPFR_RNDN);
        mpfr_sub(r23703, r23699, r23702, MPFR_RNDN);
        if (mpfr_get_si(r23687, MPFR_RNDN)) { mpfr_set(r23704, r23696, MPFR_RNDN); } else { mpfr_set(r23704, r23703, MPFR_RNDN); };
        if (mpfr_get_si(r23681, MPFR_RNDN)) { mpfr_set(r23705, r23685, MPFR_RNDN); } else { mpfr_set(r23705, r23704, MPFR_RNDN); };
        return mpfr_get_d(r23705, MPFR_RNDN);
}

