#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 r16746 = b_2F2;
        float r16747 = -r16746;
        float r16748 = r16746 * r16746;
        float r16749 = a;
        float r16750 = c;
        float r16751 = r16749 * r16750;
        float r16752 = r16748 - r16751;
        float r16753 = sqrt(r16752);
        float r16754 = r16747 - r16753;
        float r16755 = r16754 / r16749;
        return r16755;
}

double f_id(double a, double b_2F2, double c) {
        double r16756 = b_2F2;
        double r16757 = -r16756;
        double r16758 = r16756 * r16756;
        double r16759 = a;
        double r16760 = c;
        double r16761 = r16759 * r16760;
        double r16762 = r16758 - r16761;
        double r16763 = sqrt(r16762);
        double r16764 = r16757 - r16763;
        double r16765 = r16764 / r16759;
        return r16765;
}


double f_of(float a, float b_2F2, float c) {
        float r16766 = b_2F2;
        float r16767 = -3.2880471891212626e-13f;
        bool r16768 = r16766 <= r16767;
        float r16769 = -r16766;
        float r16770 = r16766 + r16769;
        float r16771 = a;
        float r16772 = r16770 / r16771;
        float r16773 = 0.5f;
        float r16774 = c;
        float r16775 = r16774 / r16766;
        float r16776 = r16773 * r16775;
        float r16777 = r16772 - r16776;
        float r16778 = 1591572340670464.0f;
        bool r16779 = r16766 <= r16778;
        float r16780 = r16766 * r16766;
        float r16781 = r16771 * r16774;
        float r16782 = r16780 - r16781;
        float r16783 = sqrt(r16782);
        float r16784 = r16769 - r16783;
        float r16785 = r16784 / r16771;
        float r16786 = r16766 / r16774;
        float r16787 = r16773 / r16786;
        float r16788 = r16766 / r16771;
        float r16789 = 2.0f;
        float r16790 = r16788 * r16789;
        float r16791 = r16787 - r16790;
        float r16792 = r16779 ? r16785 : r16791;
        float r16793 = r16768 ? r16777 : r16792;
        return r16793;
}

double f_od(double a, double b_2F2, double c) {
        double r16794 = b_2F2;
        double r16795 = -3.2880471891212626e-13;
        bool r16796 = r16794 <= r16795;
        double r16797 = -r16794;
        double r16798 = r16794 + r16797;
        double r16799 = a;
        double r16800 = r16798 / r16799;
        double r16801 = 0.5;
        double r16802 = c;
        double r16803 = r16802 / r16794;
        double r16804 = r16801 * r16803;
        double r16805 = r16800 - r16804;
        double r16806 = 1591572340670464.0;
        bool r16807 = r16794 <= r16806;
        double r16808 = r16794 * r16794;
        double r16809 = r16799 * r16802;
        double r16810 = r16808 - r16809;
        double r16811 = sqrt(r16810);
        double r16812 = r16797 - r16811;
        double r16813 = r16812 / r16799;
        double r16814 = r16794 / r16802;
        double r16815 = r16801 / r16814;
        double r16816 = r16794 / r16799;
        double r16817 = 2.0;
        double r16818 = r16816 * r16817;
        double r16819 = r16815 - r16818;
        double r16820 = r16807 ? r16813 : r16819;
        double r16821 = r16796 ? r16805 : r16820;
        return r16821;
}

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 r16822, r16823, r16824, r16825, r16826, r16827, r16828, r16829, r16830, r16831;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init(r16822);
        mpfr_init(r16823);
        mpfr_init(r16824);
        mpfr_init(r16825);
        mpfr_init(r16826);
        mpfr_init(r16827);
        mpfr_init(r16828);
        mpfr_init(r16829);
        mpfr_init(r16830);
        mpfr_init(r16831);
}

double f_im(double a, double b_2F2, double c) {
        mpfr_set_d(r16822, b_2F2, MPFR_RNDN);
        mpfr_neg(r16823, r16822, MPFR_RNDN);
        mpfr_sqr(r16824, r16822, MPFR_RNDN);
        mpfr_set_d(r16825, a, MPFR_RNDN);
        mpfr_set_d(r16826, c, MPFR_RNDN);
        mpfr_mul(r16827, r16825, r16826, MPFR_RNDN);
        mpfr_sub(r16828, r16824, r16827, MPFR_RNDN);
        mpfr_sqrt(r16829, r16828, MPFR_RNDN);
        mpfr_sub(r16830, r16823, r16829, MPFR_RNDN);
        mpfr_div(r16831, r16830, r16825, MPFR_RNDN);
        return mpfr_get_d(r16831, MPFR_RNDN);
}

static mpfr_t r16832, r16833, r16834, r16835, r16836, r16837, r16838, r16839, r16840, r16841, r16842, r16843, r16844, r16845, r16846, r16847, r16848, r16849, r16850, r16851, r16852, r16853, r16854, r16855, r16856, r16857, r16858, r16859;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16832);
        mpfr_init_set_str(r16833, "-3.2880472f-13", 10, MPFR_RNDN);
        mpfr_init(r16834);
        mpfr_init(r16835);
        mpfr_init(r16836);
        mpfr_init(r16837);
        mpfr_init(r16838);
        mpfr_init_set_str(r16839, "1/2", 10, MPFR_RNDN);
        mpfr_init(r16840);
        mpfr_init(r16841);
        mpfr_init(r16842);
        mpfr_init(r16843);
        mpfr_init_set_str(r16844, "1.5915723f+15", 10, MPFR_RNDN);
        mpfr_init(r16845);
        mpfr_init(r16846);
        mpfr_init(r16847);
        mpfr_init(r16848);
        mpfr_init(r16849);
        mpfr_init(r16850);
        mpfr_init(r16851);
        mpfr_init(r16852);
        mpfr_init(r16853);
        mpfr_init(r16854);
        mpfr_init_set_str(r16855, "2", 10, MPFR_RNDN);
        mpfr_init(r16856);
        mpfr_init(r16857);
        mpfr_init(r16858);
        mpfr_init(r16859);
}

double f_fm(double a, double b_2F2, double c) {
        mpfr_set_d(r16832, b_2F2, MPFR_RNDN);
        ;
        mpfr_set_si(r16834, mpfr_cmp(r16832, r16833) <= 0, MPFR_RNDN);
        mpfr_neg(r16835, r16832, MPFR_RNDN);
        mpfr_add(r16836, r16832, r16835, MPFR_RNDN);
        mpfr_set_d(r16837, a, MPFR_RNDN);
        mpfr_div(r16838, r16836, r16837, MPFR_RNDN);
        ;
        mpfr_set_d(r16840, c, MPFR_RNDN);
        mpfr_div(r16841, r16840, r16832, MPFR_RNDN);
        mpfr_mul(r16842, r16839, r16841, MPFR_RNDN);
        mpfr_sub(r16843, r16838, r16842, MPFR_RNDN);
        ;
        mpfr_set_si(r16845, mpfr_cmp(r16832, r16844) <= 0, MPFR_RNDN);
        mpfr_sqr(r16846, r16832, MPFR_RNDN);
        mpfr_mul(r16847, r16837, r16840, MPFR_RNDN);
        mpfr_sub(r16848, r16846, r16847, MPFR_RNDN);
        mpfr_sqrt(r16849, r16848, MPFR_RNDN);
        mpfr_sub(r16850, r16835, r16849, MPFR_RNDN);
        mpfr_div(r16851, r16850, r16837, MPFR_RNDN);
        mpfr_div(r16852, r16832, r16840, MPFR_RNDN);
        mpfr_div(r16853, r16839, r16852, MPFR_RNDN);
        mpfr_div(r16854, r16832, r16837, MPFR_RNDN);
        ;
        mpfr_mul(r16856, r16854, r16855, MPFR_RNDN);
        mpfr_sub(r16857, r16853, r16856, MPFR_RNDN);
        if (mpfr_get_si(r16845, MPFR_RNDN)) { mpfr_set(r16858, r16851, MPFR_RNDN); } else { mpfr_set(r16858, r16857, MPFR_RNDN); };
        if (mpfr_get_si(r16834, MPFR_RNDN)) { mpfr_set(r16859, r16843, MPFR_RNDN); } else { mpfr_set(r16859, r16858, MPFR_RNDN); };
        return mpfr_get_d(r16859, MPFR_RNDN);
}

static mpfr_t r16860, r16861, r16862, r16863, r16864, r16865, r16866, r16867, r16868, r16869, r16870, r16871, r16872, r16873, r16874, r16875, r16876, r16877, r16878, r16879, r16880, r16881, r16882, r16883, r16884, r16885, r16886, r16887;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r16860);
        mpfr_init_set_str(r16861, "-3.2880472f-13", 10, MPFR_RNDN);
        mpfr_init(r16862);
        mpfr_init(r16863);
        mpfr_init(r16864);
        mpfr_init(r16865);
        mpfr_init(r16866);
        mpfr_init_set_str(r16867, "1/2", 10, MPFR_RNDN);
        mpfr_init(r16868);
        mpfr_init(r16869);
        mpfr_init(r16870);
        mpfr_init(r16871);
        mpfr_init_set_str(r16872, "1.5915723f+15", 10, MPFR_RNDN);
        mpfr_init(r16873);
        mpfr_init(r16874);
        mpfr_init(r16875);
        mpfr_init(r16876);
        mpfr_init(r16877);
        mpfr_init(r16878);
        mpfr_init(r16879);
        mpfr_init(r16880);
        mpfr_init(r16881);
        mpfr_init(r16882);
        mpfr_init_set_str(r16883, "2", 10, MPFR_RNDN);
        mpfr_init(r16884);
        mpfr_init(r16885);
        mpfr_init(r16886);
        mpfr_init(r16887);
}

double f_dm(double a, double b_2F2, double c) {
        mpfr_set_d(r16860, b_2F2, MPFR_RNDN);
        ;
        mpfr_set_si(r16862, mpfr_cmp(r16860, r16861) <= 0, MPFR_RNDN);
        mpfr_neg(r16863, r16860, MPFR_RNDN);
        mpfr_add(r16864, r16860, r16863, MPFR_RNDN);
        mpfr_set_d(r16865, a, MPFR_RNDN);
        mpfr_div(r16866, r16864, r16865, MPFR_RNDN);
        ;
        mpfr_set_d(r16868, c, MPFR_RNDN);
        mpfr_div(r16869, r16868, r16860, MPFR_RNDN);
        mpfr_mul(r16870, r16867, r16869, MPFR_RNDN);
        mpfr_sub(r16871, r16866, r16870, MPFR_RNDN);
        ;
        mpfr_set_si(r16873, mpfr_cmp(r16860, r16872) <= 0, MPFR_RNDN);
        mpfr_sqr(r16874, r16860, MPFR_RNDN);
        mpfr_mul(r16875, r16865, r16868, MPFR_RNDN);
        mpfr_sub(r16876, r16874, r16875, MPFR_RNDN);
        mpfr_sqrt(r16877, r16876, MPFR_RNDN);
        mpfr_sub(r16878, r16863, r16877, MPFR_RNDN);
        mpfr_div(r16879, r16878, r16865, MPFR_RNDN);
        mpfr_div(r16880, r16860, r16868, MPFR_RNDN);
        mpfr_div(r16881, r16867, r16880, MPFR_RNDN);
        mpfr_div(r16882, r16860, r16865, MPFR_RNDN);
        ;
        mpfr_mul(r16884, r16882, r16883, MPFR_RNDN);
        mpfr_sub(r16885, r16881, r16884, MPFR_RNDN);
        if (mpfr_get_si(r16873, MPFR_RNDN)) { mpfr_set(r16886, r16879, MPFR_RNDN); } else { mpfr_set(r16886, r16885, MPFR_RNDN); };
        if (mpfr_get_si(r16862, MPFR_RNDN)) { mpfr_set(r16887, r16871, MPFR_RNDN); } else { mpfr_set(r16887, r16886, MPFR_RNDN); };
        return mpfr_get_d(r16887, MPFR_RNDN);
}