#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 r22662 = b_2F2;
        float r22663 = -r22662;
        float r22664 = r22662 * r22662;
        float r22665 = a;
        float r22666 = c;
        float r22667 = r22665 * r22666;
        float r22668 = r22664 - r22667;
        float r22669 = sqrt(r22668);
        float r22670 = r22663 - r22669;
        float r22671 = r22670 / r22665;
        return r22671;
}

double f_id(double a, double b_2F2, double c) {
        double r22672 = b_2F2;
        double r22673 = -r22672;
        double r22674 = r22672 * r22672;
        double r22675 = a;
        double r22676 = c;
        double r22677 = r22675 * r22676;
        double r22678 = r22674 - r22677;
        double r22679 = sqrt(r22678);
        double r22680 = r22673 - r22679;
        double r22681 = r22680 / r22675;
        return r22681;
}


double f_of(float a, float b_2F2, float c) {
        float r22682 = b_2F2;
        float r22683 = -7.200245550033268e-104;
        bool r22684 = r22682 <= r22683;
        float r22685 = c;
        float r22686 = r22685 / r22682;
        float r22687 = 1/2;
        float r22688 = a;
        float r22689 = r22687 * r22688;
        float r22690 = r22686 * r22689;
        float r22691 = -r22682;
        float r22692 = r22682 - r22691;
        float r22693 = r22690 - r22692;
        float r22694 = r22685 / r22693;
        float r22695 = 3.409351165504793e+65;
        bool r22696 = r22682 <= r22695;
        float r22697 = r22691 / r22688;
        float r22698 = r22682 * r22682;
        float r22699 = r22688 * r22685;
        float r22700 = r22698 - r22699;
        float r22701 = sqrt(r22700);
        float r22702 = r22701 / r22688;
        float r22703 = r22697 - r22702;
        float r22704 = -2;
        float r22705 = r22682 / r22688;
        float r22706 = r22704 * r22705;
        float r22707 = r22696 ? r22703 : r22706;
        float r22708 = r22684 ? r22694 : r22707;
        return r22708;
}

double f_od(double a, double b_2F2, double c) {
        double r22709 = b_2F2;
        double r22710 = -7.200245550033268e-104;
        bool r22711 = r22709 <= r22710;
        double r22712 = c;
        double r22713 = r22712 / r22709;
        double r22714 = 1/2;
        double r22715 = a;
        double r22716 = r22714 * r22715;
        double r22717 = r22713 * r22716;
        double r22718 = -r22709;
        double r22719 = r22709 - r22718;
        double r22720 = r22717 - r22719;
        double r22721 = r22712 / r22720;
        double r22722 = 3.409351165504793e+65;
        bool r22723 = r22709 <= r22722;
        double r22724 = r22718 / r22715;
        double r22725 = r22709 * r22709;
        double r22726 = r22715 * r22712;
        double r22727 = r22725 - r22726;
        double r22728 = sqrt(r22727);
        double r22729 = r22728 / r22715;
        double r22730 = r22724 - r22729;
        double r22731 = -2;
        double r22732 = r22709 / r22715;
        double r22733 = r22731 * r22732;
        double r22734 = r22723 ? r22730 : r22733;
        double r22735 = r22711 ? r22721 : r22734;
        return r22735;
}

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 r22736, r22737, r22738, r22739, r22740, r22741, r22742, r22743, r22744, r22745;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(3472);
        mpfr_init(r22736);
        mpfr_init(r22737);
        mpfr_init(r22738);
        mpfr_init(r22739);
        mpfr_init(r22740);
        mpfr_init(r22741);
        mpfr_init(r22742);
        mpfr_init(r22743);
        mpfr_init(r22744);
        mpfr_init(r22745);
}

double f_im(double a, double b_2F2, double c) {
        mpfr_set_d(r22736, b_2F2, MPFR_RNDN);
        mpfr_neg(r22737, r22736, MPFR_RNDN);
        mpfr_mul(r22738, r22736, r22736, MPFR_RNDN);
        mpfr_set_d(r22739, a, MPFR_RNDN);
        mpfr_set_d(r22740, c, MPFR_RNDN);
        mpfr_mul(r22741, r22739, r22740, MPFR_RNDN);
        mpfr_sub(r22742, r22738, r22741, MPFR_RNDN);
        mpfr_sqrt(r22743, r22742, MPFR_RNDN);
        mpfr_sub(r22744, r22737, r22743, MPFR_RNDN);
        mpfr_div(r22745, r22744, r22739, MPFR_RNDN);
        return mpfr_get_d(r22745, MPFR_RNDN);
}

static mpfr_t r22746, r22747, r22748, r22749, r22750, r22751, r22752, r22753, r22754, r22755, r22756, r22757, r22758, r22759, r22760, r22761, r22762, r22763, r22764, r22765, r22766, r22767, r22768, r22769, r22770, r22771, r22772;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(3472);
        mpfr_init(r22746);
        mpfr_init_set_str(r22747, "-7.200245550033268e-104", 10, MPFR_RNDN);
        mpfr_init(r22748);
        mpfr_init(r22749);
        mpfr_init(r22750);
        mpfr_init_set_str(r22751, "1/2", 10, MPFR_RNDN);
        mpfr_init(r22752);
        mpfr_init(r22753);
        mpfr_init(r22754);
        mpfr_init(r22755);
        mpfr_init(r22756);
        mpfr_init(r22757);
        mpfr_init(r22758);
        mpfr_init_set_str(r22759, "3.409351165504793e+65", 10, MPFR_RNDN);
        mpfr_init(r22760);
        mpfr_init(r22761);
        mpfr_init(r22762);
        mpfr_init(r22763);
        mpfr_init(r22764);
        mpfr_init(r22765);
        mpfr_init(r22766);
        mpfr_init(r22767);
        mpfr_init_set_str(r22768, "-2", 10, MPFR_RNDN);
        mpfr_init(r22769);
        mpfr_init(r22770);
        mpfr_init(r22771);
        mpfr_init(r22772);
}

double f_fm(double a, double b_2F2, double c) {
        mpfr_set_d(r22746, b_2F2, MPFR_RNDN);
        ;
        mpfr_set_si(r22748, mpfr_cmp(r22746, r22747) <= 0, MPFR_RNDN);
        mpfr_set_d(r22749, c, MPFR_RNDN);
        mpfr_div(r22750, r22749, r22746, MPFR_RNDN);
        ;
        mpfr_set_d(r22752, a, MPFR_RNDN);
        mpfr_mul(r22753, r22751, r22752, MPFR_RNDN);
        mpfr_mul(r22754, r22750, r22753, MPFR_RNDN);
        mpfr_neg(r22755, r22746, MPFR_RNDN);
        mpfr_sub(r22756, r22746, r22755, MPFR_RNDN);
        mpfr_sub(r22757, r22754, r22756, MPFR_RNDN);
        mpfr_div(r22758, r22749, r22757, MPFR_RNDN);
        ;
        mpfr_set_si(r22760, mpfr_cmp(r22746, r22759) <= 0, MPFR_RNDN);
        mpfr_div(r22761, r22755, r22752, MPFR_RNDN);
        mpfr_mul(r22762, r22746, r22746, MPFR_RNDN);
        mpfr_mul(r22763, r22752, r22749, MPFR_RNDN);
        mpfr_sub(r22764, r22762, r22763, MPFR_RNDN);
        mpfr_sqrt(r22765, r22764, MPFR_RNDN);
        mpfr_div(r22766, r22765, r22752, MPFR_RNDN);
        mpfr_sub(r22767, r22761, r22766, MPFR_RNDN);
        ;
        mpfr_div(r22769, r22746, r22752, MPFR_RNDN);
        mpfr_mul(r22770, r22768, r22769, MPFR_RNDN);
        if (mpfr_get_si(r22760, MPFR_RNDN)) { mpfr_set(r22771, r22767, MPFR_RNDN); } else { mpfr_set(r22771, r22770, MPFR_RNDN); };
        if (mpfr_get_si(r22748, MPFR_RNDN)) { mpfr_set(r22772, r22758, MPFR_RNDN); } else { mpfr_set(r22772, r22771, MPFR_RNDN); };
        return mpfr_get_d(r22772, MPFR_RNDN);
}

static mpfr_t r22773, r22774, r22775, r22776, r22777, r22778, r22779, r22780, r22781, r22782, r22783, r22784, r22785, r22786, r22787, r22788, r22789, r22790, r22791, r22792, r22793, r22794, r22795, r22796, r22797, r22798, r22799;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(3472);
        mpfr_init(r22773);
        mpfr_init_set_str(r22774, "-7.200245550033268e-104", 10, MPFR_RNDN);
        mpfr_init(r22775);
        mpfr_init(r22776);
        mpfr_init(r22777);
        mpfr_init_set_str(r22778, "1/2", 10, MPFR_RNDN);
        mpfr_init(r22779);
        mpfr_init(r22780);
        mpfr_init(r22781);
        mpfr_init(r22782);
        mpfr_init(r22783);
        mpfr_init(r22784);
        mpfr_init(r22785);
        mpfr_init_set_str(r22786, "3.409351165504793e+65", 10, MPFR_RNDN);
        mpfr_init(r22787);
        mpfr_init(r22788);
        mpfr_init(r22789);
        mpfr_init(r22790);
        mpfr_init(r22791);
        mpfr_init(r22792);
        mpfr_init(r22793);
        mpfr_init(r22794);
        mpfr_init_set_str(r22795, "-2", 10, MPFR_RNDN);
        mpfr_init(r22796);
        mpfr_init(r22797);
        mpfr_init(r22798);
        mpfr_init(r22799);
}

double f_dm(double a, double b_2F2, double c) {
        mpfr_set_d(r22773, b_2F2, MPFR_RNDN);
        ;
        mpfr_set_si(r22775, mpfr_cmp(r22773, r22774) <= 0, MPFR_RNDN);
        mpfr_set_d(r22776, c, MPFR_RNDN);
        mpfr_div(r22777, r22776, r22773, MPFR_RNDN);
        ;
        mpfr_set_d(r22779, a, MPFR_RNDN);
        mpfr_mul(r22780, r22778, r22779, MPFR_RNDN);
        mpfr_mul(r22781, r22777, r22780, MPFR_RNDN);
        mpfr_neg(r22782, r22773, MPFR_RNDN);
        mpfr_sub(r22783, r22773, r22782, MPFR_RNDN);
        mpfr_sub(r22784, r22781, r22783, MPFR_RNDN);
        mpfr_div(r22785, r22776, r22784, MPFR_RNDN);
        ;
        mpfr_set_si(r22787, mpfr_cmp(r22773, r22786) <= 0, MPFR_RNDN);
        mpfr_div(r22788, r22782, r22779, MPFR_RNDN);
        mpfr_mul(r22789, r22773, r22773, MPFR_RNDN);
        mpfr_mul(r22790, r22779, r22776, MPFR_RNDN);
        mpfr_sub(r22791, r22789, r22790, MPFR_RNDN);
        mpfr_sqrt(r22792, r22791, MPFR_RNDN);
        mpfr_div(r22793, r22792, r22779, MPFR_RNDN);
        mpfr_sub(r22794, r22788, r22793, MPFR_RNDN);
        ;
        mpfr_div(r22796, r22773, r22779, MPFR_RNDN);
        mpfr_mul(r22797, r22795, r22796, MPFR_RNDN);
        if (mpfr_get_si(r22787, MPFR_RNDN)) { mpfr_set(r22798, r22794, MPFR_RNDN); } else { mpfr_set(r22798, r22797, MPFR_RNDN); };
        if (mpfr_get_si(r22775, MPFR_RNDN)) { mpfr_set(r22799, r22785, MPFR_RNDN); } else { mpfr_set(r22799, r22798, MPFR_RNDN); };
        return mpfr_get_d(r22799, MPFR_RNDN);
}

