#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 r16729 = b_2F2;
        float r16730 = -r16729;
        float r16731 = r16729 * r16729;
        float r16732 = a;
        float r16733 = c;
        float r16734 = r16732 * r16733;
        float r16735 = r16731 - r16734;
        float r16736 = sqrt(r16735);
        float r16737 = r16730 - r16736;
        float r16738 = r16737 / r16732;
        return r16738;
}

double f_id(double a, double b_2F2, double c) {
        double r16739 = b_2F2;
        double r16740 = -r16739;
        double r16741 = r16739 * r16739;
        double r16742 = a;
        double r16743 = c;
        double r16744 = r16742 * r16743;
        double r16745 = r16741 - r16744;
        double r16746 = sqrt(r16745);
        double r16747 = r16740 - r16746;
        double r16748 = r16747 / r16742;
        return r16748;
}


double f_of(float a, float b_2F2, float c) {
        float r16749 = b_2F2;
        float r16750 = -5.030326967317398e-87f;
        bool r16751 = r16749 <= r16750;
        float r16752 = c;
        float r16753 = 0.5f;
        float r16754 = r16753 * r16752;
        float r16755 = a;
        float r16756 = r16755 / r16749;
        float r16757 = r16754 * r16756;
        float r16758 = 2.0f;
        float r16759 = r16758 * r16749;
        float r16760 = r16757 - r16759;
        float r16761 = r16752 / r16760;
        float r16762 = 3.4791896352684183e+99f;
        bool r16763 = r16749 <= r16762;
        float r16764 = -r16749;
        float r16765 = r16749 * r16749;
        float r16766 = r16755 * r16752;
        float r16767 = r16765 - r16766;
        float r16768 = sqrt(r16767);
        float r16769 = r16764 - r16768;
        float r16770 = r16769 / r16755;
        float r16771 = r16754 / r16749;
        float r16772 = r16764 - r16749;
        float r16773 = fma(r16771, r16755, r16772);
        float r16774 = r16773 / r16755;
        float r16775 = r16763 ? r16770 : r16774;
        float r16776 = r16751 ? r16761 : r16775;
        return r16776;
}

double f_od(double a, double b_2F2, double c) {
        double r16777 = b_2F2;
        double r16778 = -5.030326967317398e-87;
        bool r16779 = r16777 <= r16778;
        double r16780 = c;
        double r16781 = 0.5;
        double r16782 = r16781 * r16780;
        double r16783 = a;
        double r16784 = r16783 / r16777;
        double r16785 = r16782 * r16784;
        double r16786 = 2.0;
        double r16787 = r16786 * r16777;
        double r16788 = r16785 - r16787;
        double r16789 = r16780 / r16788;
        double r16790 = 3.4791896352684183e+99;
        bool r16791 = r16777 <= r16790;
        double r16792 = -r16777;
        double r16793 = r16777 * r16777;
        double r16794 = r16783 * r16780;
        double r16795 = r16793 - r16794;
        double r16796 = sqrt(r16795);
        double r16797 = r16792 - r16796;
        double r16798 = r16797 / r16783;
        double r16799 = r16782 / r16777;
        double r16800 = r16792 - r16777;
        double r16801 = fma(r16799, r16783, r16800);
        double r16802 = r16801 / r16783;
        double r16803 = r16791 ? r16798 : r16802;
        double r16804 = r16779 ? r16789 : r16803;
        return r16804;
}

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 r16805, r16806, r16807, r16808, r16809, r16810, r16811, r16812, r16813, r16814;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r16805);
        mpfr_init(r16806);
        mpfr_init(r16807);
        mpfr_init(r16808);
        mpfr_init(r16809);
        mpfr_init(r16810);
        mpfr_init(r16811);
        mpfr_init(r16812);
        mpfr_init(r16813);
        mpfr_init(r16814);
}

double f_im(double a, double b_2F2, double c) {
        mpfr_set_d(r16805, b_2F2, MPFR_RNDN);
        mpfr_neg(r16806, r16805, MPFR_RNDN);
        mpfr_sqr(r16807, r16805, MPFR_RNDN);
        mpfr_set_d(r16808, a, MPFR_RNDN);
        mpfr_set_d(r16809, c, MPFR_RNDN);
        mpfr_mul(r16810, r16808, r16809, MPFR_RNDN);
        mpfr_sub(r16811, r16807, r16810, MPFR_RNDN);
        mpfr_sqrt(r16812, r16811, MPFR_RNDN);
        mpfr_sub(r16813, r16806, r16812, MPFR_RNDN);
        mpfr_div(r16814, r16813, r16808, MPFR_RNDN);
        return mpfr_get_d(r16814, MPFR_RNDN);
}

static mpfr_t r16815, r16816, r16817, r16818, r16819, r16820, r16821, r16822, r16823, r16824, r16825, r16826, r16827, r16828, r16829, r16830, r16831, r16832, r16833, r16834, r16835, r16836, r16837, r16838, r16839, r16840, r16841, r16842;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16815);
        mpfr_init_set_str(r16816, "-5.030326967317398e-87", 10, MPFR_RNDN);
        mpfr_init(r16817);
        mpfr_init(r16818);
        mpfr_init_set_str(r16819, "1/2", 10, MPFR_RNDN);
        mpfr_init(r16820);
        mpfr_init(r16821);
        mpfr_init(r16822);
        mpfr_init(r16823);
        mpfr_init_set_str(r16824, "2", 10, MPFR_RNDN);
        mpfr_init(r16825);
        mpfr_init(r16826);
        mpfr_init(r16827);
        mpfr_init_set_str(r16828, "3.4791896352684183e+99", 10, MPFR_RNDN);
        mpfr_init(r16829);
        mpfr_init(r16830);
        mpfr_init(r16831);
        mpfr_init(r16832);
        mpfr_init(r16833);
        mpfr_init(r16834);
        mpfr_init(r16835);
        mpfr_init(r16836);
        mpfr_init(r16837);
        mpfr_init(r16838);
        mpfr_init(r16839);
        mpfr_init(r16840);
        mpfr_init(r16841);
        mpfr_init(r16842);
}

double f_fm(double a, double b_2F2, double c) {
        mpfr_set_d(r16815, b_2F2, MPFR_RNDN);
        ;
        mpfr_set_si(r16817, mpfr_cmp(r16815, r16816) <= 0, MPFR_RNDN);
        mpfr_set_d(r16818, c, MPFR_RNDN);
        ;
        mpfr_mul(r16820, r16819, r16818, MPFR_RNDN);
        mpfr_set_d(r16821, a, MPFR_RNDN);
        mpfr_div(r16822, r16821, r16815, MPFR_RNDN);
        mpfr_mul(r16823, r16820, r16822, MPFR_RNDN);
        ;
        mpfr_mul(r16825, r16824, r16815, MPFR_RNDN);
        mpfr_sub(r16826, r16823, r16825, MPFR_RNDN);
        mpfr_div(r16827, r16818, r16826, MPFR_RNDN);
        ;
        mpfr_set_si(r16829, mpfr_cmp(r16815, r16828) <= 0, MPFR_RNDN);
        mpfr_neg(r16830, r16815, MPFR_RNDN);
        mpfr_sqr(r16831, r16815, MPFR_RNDN);
        mpfr_mul(r16832, r16821, r16818, MPFR_RNDN);
        mpfr_sub(r16833, r16831, r16832, MPFR_RNDN);
        mpfr_sqrt(r16834, r16833, MPFR_RNDN);
        mpfr_sub(r16835, r16830, r16834, MPFR_RNDN);
        mpfr_div(r16836, r16835, r16821, MPFR_RNDN);
        mpfr_div(r16837, r16820, r16815, MPFR_RNDN);
        mpfr_sub(r16838, r16830, r16815, MPFR_RNDN);
        mpfr_fma(r16839, r16837, r16821, r16838, MPFR_RNDN);
        mpfr_div(r16840, r16839, r16821, MPFR_RNDN);
        if (mpfr_get_si(r16829, MPFR_RNDN)) { mpfr_set(r16841, r16836, MPFR_RNDN); } else { mpfr_set(r16841, r16840, MPFR_RNDN); };
        if (mpfr_get_si(r16817, MPFR_RNDN)) { mpfr_set(r16842, r16827, MPFR_RNDN); } else { mpfr_set(r16842, r16841, MPFR_RNDN); };
        return mpfr_get_d(r16842, MPFR_RNDN);
}

static mpfr_t r16843, r16844, r16845, r16846, r16847, r16848, r16849, r16850, r16851, r16852, r16853, r16854, r16855, r16856, r16857, r16858, r16859, r16860, r16861, r16862, r16863, r16864, r16865, r16866, r16867, r16868, r16869, r16870;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16843);
        mpfr_init_set_str(r16844, "-5.030326967317398e-87", 10, MPFR_RNDN);
        mpfr_init(r16845);
        mpfr_init(r16846);
        mpfr_init_set_str(r16847, "1/2", 10, MPFR_RNDN);
        mpfr_init(r16848);
        mpfr_init(r16849);
        mpfr_init(r16850);
        mpfr_init(r16851);
        mpfr_init_set_str(r16852, "2", 10, MPFR_RNDN);
        mpfr_init(r16853);
        mpfr_init(r16854);
        mpfr_init(r16855);
        mpfr_init_set_str(r16856, "3.4791896352684183e+99", 10, MPFR_RNDN);
        mpfr_init(r16857);
        mpfr_init(r16858);
        mpfr_init(r16859);
        mpfr_init(r16860);
        mpfr_init(r16861);
        mpfr_init(r16862);
        mpfr_init(r16863);
        mpfr_init(r16864);
        mpfr_init(r16865);
        mpfr_init(r16866);
        mpfr_init(r16867);
        mpfr_init(r16868);
        mpfr_init(r16869);
        mpfr_init(r16870);
}

double f_dm(double a, double b_2F2, double c) {
        mpfr_set_d(r16843, b_2F2, MPFR_RNDN);
        ;
        mpfr_set_si(r16845, mpfr_cmp(r16843, r16844) <= 0, MPFR_RNDN);
        mpfr_set_d(r16846, c, MPFR_RNDN);
        ;
        mpfr_mul(r16848, r16847, r16846, MPFR_RNDN);
        mpfr_set_d(r16849, a, MPFR_RNDN);
        mpfr_div(r16850, r16849, r16843, MPFR_RNDN);
        mpfr_mul(r16851, r16848, r16850, MPFR_RNDN);
        ;
        mpfr_mul(r16853, r16852, r16843, MPFR_RNDN);
        mpfr_sub(r16854, r16851, r16853, MPFR_RNDN);
        mpfr_div(r16855, r16846, r16854, MPFR_RNDN);
        ;
        mpfr_set_si(r16857, mpfr_cmp(r16843, r16856) <= 0, MPFR_RNDN);
        mpfr_neg(r16858, r16843, MPFR_RNDN);
        mpfr_sqr(r16859, r16843, MPFR_RNDN);
        mpfr_mul(r16860, r16849, r16846, MPFR_RNDN);
        mpfr_sub(r16861, r16859, r16860, MPFR_RNDN);
        mpfr_sqrt(r16862, r16861, MPFR_RNDN);
        mpfr_sub(r16863, r16858, r16862, MPFR_RNDN);
        mpfr_div(r16864, r16863, r16849, MPFR_RNDN);
        mpfr_div(r16865, r16848, r16843, MPFR_RNDN);
        mpfr_sub(r16866, r16858, r16843, MPFR_RNDN);
        mpfr_fma(r16867, r16865, r16849, r16866, MPFR_RNDN);
        mpfr_div(r16868, r16867, r16849, MPFR_RNDN);
        if (mpfr_get_si(r16857, MPFR_RNDN)) { mpfr_set(r16869, r16864, MPFR_RNDN); } else { mpfr_set(r16869, r16868, MPFR_RNDN); };
        if (mpfr_get_si(r16845, MPFR_RNDN)) { mpfr_set(r16870, r16855, MPFR_RNDN); } else { mpfr_set(r16870, r16869, MPFR_RNDN); };
        return mpfr_get_d(r16870, MPFR_RNDN);
}