#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 r22720 = b_2F2;
        float r22721 = -r22720;
        float r22722 = r22720 * r22720;
        float r22723 = a;
        float r22724 = c;
        float r22725 = r22723 * r22724;
        float r22726 = r22722 - r22725;
        float r22727 = sqrt(r22726);
        float r22728 = r22721 - r22727;
        float r22729 = r22728 / r22723;
        return r22729;
}

double f_id(double a, double b_2F2, double c) {
        double r22730 = b_2F2;
        double r22731 = -r22730;
        double r22732 = r22730 * r22730;
        double r22733 = a;
        double r22734 = c;
        double r22735 = r22733 * r22734;
        double r22736 = r22732 - r22735;
        double r22737 = sqrt(r22736);
        double r22738 = r22731 - r22737;
        double r22739 = r22738 / r22733;
        return r22739;
}


double f_of(float a, float b_2F2, float c) {
        float r22740 = b_2F2;
        float r22741 = -7.0592428915980205e+47;
        bool r22742 = r22740 <= r22741;
        float r22743 = 1;
        float r22744 = 1/2;
        float r22745 = r22744 / r22740;
        float r22746 = a;
        float r22747 = r22745 * r22746;
        float r22748 = r22740 + r22740;
        float r22749 = c;
        float r22750 = r22748 / r22749;
        float r22751 = r22747 - r22750;
        float r22752 = r22743 / r22751;
        float r22753 = -1.7843931071382662e-121;
        bool r22754 = r22740 <= r22753;
        float r22755 = r22749 * r22746;
        float r22756 = -r22740;
        float r22757 = r22740 * r22740;
        float r22758 = r22746 * r22749;
        float r22759 = r22757 - r22758;
        float r22760 = sqrt(r22759);
        float r22761 = r22756 + r22760;
        float r22762 = r22755 / r22761;
        float r22763 = r22762 / r22746;
        float r22764 = -1.170375490341468e-133;
        bool r22765 = r22740 <= r22764;
        float r22766 = r22744 * r22746;
        float r22767 = r22740 / r22749;
        float r22768 = r22766 / r22767;
        float r22769 = log1p(r22768);
        float r22770 = expm1(r22769);
        float r22771 = r22770 - r22748;
        float r22772 = r22749 / r22771;
        float r22773 = 5.969067876857501e+104;
        bool r22774 = r22740 <= r22773;
        float r22775 = r22756 - r22760;
        float r22776 = r22746 / r22775;
        float r22777 = r22743 / r22776;
        float r22778 = r22749 / r22740;
        float r22779 = r22740 / r22746;
        float r22780 = -r22779;
        float r22781 = r22780 - r22779;
        float r22782 = fma(r22778, r22744, r22781);
        float r22783 = r22774 ? r22777 : r22782;
        float r22784 = r22765 ? r22772 : r22783;
        float r22785 = r22754 ? r22763 : r22784;
        float r22786 = r22742 ? r22752 : r22785;
        return r22786;
}

double f_od(double a, double b_2F2, double c) {
        double r22787 = b_2F2;
        double r22788 = -7.0592428915980205e+47;
        bool r22789 = r22787 <= r22788;
        double r22790 = 1;
        double r22791 = 1/2;
        double r22792 = r22791 / r22787;
        double r22793 = a;
        double r22794 = r22792 * r22793;
        double r22795 = r22787 + r22787;
        double r22796 = c;
        double r22797 = r22795 / r22796;
        double r22798 = r22794 - r22797;
        double r22799 = r22790 / r22798;
        double r22800 = -1.7843931071382662e-121;
        bool r22801 = r22787 <= r22800;
        double r22802 = r22796 * r22793;
        double r22803 = -r22787;
        double r22804 = r22787 * r22787;
        double r22805 = r22793 * r22796;
        double r22806 = r22804 - r22805;
        double r22807 = sqrt(r22806);
        double r22808 = r22803 + r22807;
        double r22809 = r22802 / r22808;
        double r22810 = r22809 / r22793;
        double r22811 = -1.170375490341468e-133;
        bool r22812 = r22787 <= r22811;
        double r22813 = r22791 * r22793;
        double r22814 = r22787 / r22796;
        double r22815 = r22813 / r22814;
        double r22816 = log1p(r22815);
        double r22817 = expm1(r22816);
        double r22818 = r22817 - r22795;
        double r22819 = r22796 / r22818;
        double r22820 = 5.969067876857501e+104;
        bool r22821 = r22787 <= r22820;
        double r22822 = r22803 - r22807;
        double r22823 = r22793 / r22822;
        double r22824 = r22790 / r22823;
        double r22825 = r22796 / r22787;
        double r22826 = r22787 / r22793;
        double r22827 = -r22826;
        double r22828 = r22827 - r22826;
        double r22829 = fma(r22825, r22791, r22828);
        double r22830 = r22821 ? r22824 : r22829;
        double r22831 = r22812 ? r22819 : r22830;
        double r22832 = r22801 ? r22810 : r22831;
        double r22833 = r22789 ? r22799 : r22832;
        return r22833;
}

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 r22834, r22835, r22836, r22837, r22838, r22839, r22840, r22841, r22842, r22843;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(3472);
        mpfr_init(r22834);
        mpfr_init(r22835);
        mpfr_init(r22836);
        mpfr_init(r22837);
        mpfr_init(r22838);
        mpfr_init(r22839);
        mpfr_init(r22840);
        mpfr_init(r22841);
        mpfr_init(r22842);
        mpfr_init(r22843);
}

double f_im(double a, double b_2F2, double c) {
        mpfr_set_d(r22834, b_2F2, MPFR_RNDN);
        mpfr_neg(r22835, r22834, MPFR_RNDN);
        mpfr_mul(r22836, r22834, r22834, MPFR_RNDN);
        mpfr_set_d(r22837, a, MPFR_RNDN);
        mpfr_set_d(r22838, c, MPFR_RNDN);
        mpfr_mul(r22839, r22837, r22838, MPFR_RNDN);
        mpfr_sub(r22840, r22836, r22839, MPFR_RNDN);
        mpfr_sqrt(r22841, r22840, MPFR_RNDN);
        mpfr_sub(r22842, r22835, r22841, MPFR_RNDN);
        mpfr_div(r22843, r22842, r22837, MPFR_RNDN);
        return mpfr_get_d(r22843, MPFR_RNDN);
}

static mpfr_t r22844, r22845, r22846, r22847, r22848, r22849, r22850, r22851, r22852, r22853, r22854, r22855, r22856, r22857, r22858, r22859, r22860, r22861, r22862, r22863, r22864, r22865, r22866, r22867, r22868, r22869, r22870, r22871, r22872, r22873, r22874, r22875, r22876, r22877, r22878, r22879, r22880, r22881, r22882, r22883, r22884, r22885, r22886, r22887, r22888, r22889, r22890;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(3472);
        mpfr_init(r22844);
        mpfr_init_set_str(r22845, "-7.0592428915980205e+47", 10, MPFR_RNDN);
        mpfr_init(r22846);
        mpfr_init_set_str(r22847, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r22848, "1/2", 10, MPFR_RNDN);
        mpfr_init(r22849);
        mpfr_init(r22850);
        mpfr_init(r22851);
        mpfr_init(r22852);
        mpfr_init(r22853);
        mpfr_init(r22854);
        mpfr_init(r22855);
        mpfr_init(r22856);
        mpfr_init_set_str(r22857, "-1.7843931071382662e-121", 10, MPFR_RNDN);
        mpfr_init(r22858);
        mpfr_init(r22859);
        mpfr_init(r22860);
        mpfr_init(r22861);
        mpfr_init(r22862);
        mpfr_init(r22863);
        mpfr_init(r22864);
        mpfr_init(r22865);
        mpfr_init(r22866);
        mpfr_init(r22867);
        mpfr_init_set_str(r22868, "-1.170375490341468e-133", 10, MPFR_RNDN);
        mpfr_init(r22869);
        mpfr_init(r22870);
        mpfr_init(r22871);
        mpfr_init(r22872);
        mpfr_init(r22873);
        mpfr_init(r22874);
        mpfr_init(r22875);
        mpfr_init(r22876);
        mpfr_init_set_str(r22877, "5.969067876857501e+104", 10, MPFR_RNDN);
        mpfr_init(r22878);
        mpfr_init(r22879);
        mpfr_init(r22880);
        mpfr_init(r22881);
        mpfr_init(r22882);
        mpfr_init(r22883);
        mpfr_init(r22884);
        mpfr_init(r22885);
        mpfr_init(r22886);
        mpfr_init(r22887);
        mpfr_init(r22888);
        mpfr_init(r22889);
        mpfr_init(r22890);
}

double f_fm(double a, double b_2F2, double c) {
        mpfr_set_d(r22844, b_2F2, MPFR_RNDN);
        ;
        mpfr_set_si(r22846, mpfr_cmp(r22844, r22845) <= 0, MPFR_RNDN);
        ;
        ;
        mpfr_div(r22849, r22848, r22844, MPFR_RNDN);
        mpfr_set_d(r22850, a, MPFR_RNDN);
        mpfr_mul(r22851, r22849, r22850, MPFR_RNDN);
        mpfr_add(r22852, r22844, r22844, MPFR_RNDN);
        mpfr_set_d(r22853, c, MPFR_RNDN);
        mpfr_div(r22854, r22852, r22853, MPFR_RNDN);
        mpfr_sub(r22855, r22851, r22854, MPFR_RNDN);
        mpfr_div(r22856, r22847, r22855, MPFR_RNDN);
        ;
        mpfr_set_si(r22858, mpfr_cmp(r22844, r22857) <= 0, MPFR_RNDN);
        mpfr_mul(r22859, r22853, r22850, MPFR_RNDN);
        mpfr_neg(r22860, r22844, MPFR_RNDN);
        mpfr_mul(r22861, r22844, r22844, MPFR_RNDN);
        mpfr_mul(r22862, r22850, r22853, MPFR_RNDN);
        mpfr_sub(r22863, r22861, r22862, MPFR_RNDN);
        mpfr_sqrt(r22864, r22863, MPFR_RNDN);
        mpfr_add(r22865, r22860, r22864, MPFR_RNDN);
        mpfr_div(r22866, r22859, r22865, MPFR_RNDN);
        mpfr_div(r22867, r22866, r22850, MPFR_RNDN);
        ;
        mpfr_set_si(r22869, mpfr_cmp(r22844, r22868) <= 0, MPFR_RNDN);
        mpfr_mul(r22870, r22848, r22850, MPFR_RNDN);
        mpfr_div(r22871, r22844, r22853, MPFR_RNDN);
        mpfr_div(r22872, r22870, r22871, MPFR_RNDN);
        mpfr_log1p(r22873, r22872, MPFR_RNDN);
        mpfr_expm1(r22874, r22873, MPFR_RNDN);
        mpfr_sub(r22875, r22874, r22852, MPFR_RNDN);
        mpfr_div(r22876, r22853, r22875, MPFR_RNDN);
        ;
        mpfr_set_si(r22878, mpfr_cmp(r22844, r22877) <= 0, MPFR_RNDN);
        mpfr_sub(r22879, r22860, r22864, MPFR_RNDN);
        mpfr_div(r22880, r22850, r22879, MPFR_RNDN);
        mpfr_div(r22881, r22847, r22880, MPFR_RNDN);
        mpfr_div(r22882, r22853, r22844, MPFR_RNDN);
        mpfr_div(r22883, r22844, r22850, MPFR_RNDN);
        mpfr_neg(r22884, r22883, MPFR_RNDN);
        mpfr_sub(r22885, r22884, r22883, MPFR_RNDN);
        mpfr_fma(r22886, r22882, r22848, r22885, MPFR_RNDN);
        if (mpfr_get_si(r22878, MPFR_RNDN)) { mpfr_set(r22887, r22881, MPFR_RNDN); } else { mpfr_set(r22887, r22886, MPFR_RNDN); };
        if (mpfr_get_si(r22869, MPFR_RNDN)) { mpfr_set(r22888, r22876, MPFR_RNDN); } else { mpfr_set(r22888, r22887, MPFR_RNDN); };
        if (mpfr_get_si(r22858, MPFR_RNDN)) { mpfr_set(r22889, r22867, MPFR_RNDN); } else { mpfr_set(r22889, r22888, MPFR_RNDN); };
        if (mpfr_get_si(r22846, MPFR_RNDN)) { mpfr_set(r22890, r22856, MPFR_RNDN); } else { mpfr_set(r22890, r22889, MPFR_RNDN); };
        return mpfr_get_d(r22890, MPFR_RNDN);
}

static mpfr_t r22891, r22892, r22893, r22894, r22895, r22896, r22897, r22898, r22899, r22900, r22901, r22902, r22903, r22904, r22905, r22906, r22907, r22908, r22909, r22910, r22911, r22912, r22913, r22914, r22915, r22916, r22917, r22918, r22919, r22920, r22921, r22922, r22923, r22924, r22925, r22926, r22927, r22928, r22929, r22930, r22931, r22932, r22933, r22934, r22935, r22936, r22937;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(3472);
        mpfr_init(r22891);
        mpfr_init_set_str(r22892, "-7.0592428915980205e+47", 10, MPFR_RNDN);
        mpfr_init(r22893);
        mpfr_init_set_str(r22894, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r22895, "1/2", 10, MPFR_RNDN);
        mpfr_init(r22896);
        mpfr_init(r22897);
        mpfr_init(r22898);
        mpfr_init(r22899);
        mpfr_init(r22900);
        mpfr_init(r22901);
        mpfr_init(r22902);
        mpfr_init(r22903);
        mpfr_init_set_str(r22904, "-1.7843931071382662e-121", 10, MPFR_RNDN);
        mpfr_init(r22905);
        mpfr_init(r22906);
        mpfr_init(r22907);
        mpfr_init(r22908);
        mpfr_init(r22909);
        mpfr_init(r22910);
        mpfr_init(r22911);
        mpfr_init(r22912);
        mpfr_init(r22913);
        mpfr_init(r22914);
        mpfr_init_set_str(r22915, "-1.170375490341468e-133", 10, MPFR_RNDN);
        mpfr_init(r22916);
        mpfr_init(r22917);
        mpfr_init(r22918);
        mpfr_init(r22919);
        mpfr_init(r22920);
        mpfr_init(r22921);
        mpfr_init(r22922);
        mpfr_init(r22923);
        mpfr_init_set_str(r22924, "5.969067876857501e+104", 10, MPFR_RNDN);
        mpfr_init(r22925);
        mpfr_init(r22926);
        mpfr_init(r22927);
        mpfr_init(r22928);
        mpfr_init(r22929);
        mpfr_init(r22930);
        mpfr_init(r22931);
        mpfr_init(r22932);
        mpfr_init(r22933);
        mpfr_init(r22934);
        mpfr_init(r22935);
        mpfr_init(r22936);
        mpfr_init(r22937);
}

double f_dm(double a, double b_2F2, double c) {
        mpfr_set_d(r22891, b_2F2, MPFR_RNDN);
        ;
        mpfr_set_si(r22893, mpfr_cmp(r22891, r22892) <= 0, MPFR_RNDN);
        ;
        ;
        mpfr_div(r22896, r22895, r22891, MPFR_RNDN);
        mpfr_set_d(r22897, a, MPFR_RNDN);
        mpfr_mul(r22898, r22896, r22897, MPFR_RNDN);
        mpfr_add(r22899, r22891, r22891, MPFR_RNDN);
        mpfr_set_d(r22900, c, MPFR_RNDN);
        mpfr_div(r22901, r22899, r22900, MPFR_RNDN);
        mpfr_sub(r22902, r22898, r22901, MPFR_RNDN);
        mpfr_div(r22903, r22894, r22902, MPFR_RNDN);
        ;
        mpfr_set_si(r22905, mpfr_cmp(r22891, r22904) <= 0, MPFR_RNDN);
        mpfr_mul(r22906, r22900, r22897, MPFR_RNDN);
        mpfr_neg(r22907, r22891, MPFR_RNDN);
        mpfr_mul(r22908, r22891, r22891, MPFR_RNDN);
        mpfr_mul(r22909, r22897, r22900, MPFR_RNDN);
        mpfr_sub(r22910, r22908, r22909, MPFR_RNDN);
        mpfr_sqrt(r22911, r22910, MPFR_RNDN);
        mpfr_add(r22912, r22907, r22911, MPFR_RNDN);
        mpfr_div(r22913, r22906, r22912, MPFR_RNDN);
        mpfr_div(r22914, r22913, r22897, MPFR_RNDN);
        ;
        mpfr_set_si(r22916, mpfr_cmp(r22891, r22915) <= 0, MPFR_RNDN);
        mpfr_mul(r22917, r22895, r22897, MPFR_RNDN);
        mpfr_div(r22918, r22891, r22900, MPFR_RNDN);
        mpfr_div(r22919, r22917, r22918, MPFR_RNDN);
        mpfr_log1p(r22920, r22919, MPFR_RNDN);
        mpfr_expm1(r22921, r22920, MPFR_RNDN);
        mpfr_sub(r22922, r22921, r22899, MPFR_RNDN);
        mpfr_div(r22923, r22900, r22922, MPFR_RNDN);
        ;
        mpfr_set_si(r22925, mpfr_cmp(r22891, r22924) <= 0, MPFR_RNDN);
        mpfr_sub(r22926, r22907, r22911, MPFR_RNDN);
        mpfr_div(r22927, r22897, r22926, MPFR_RNDN);
        mpfr_div(r22928, r22894, r22927, MPFR_RNDN);
        mpfr_div(r22929, r22900, r22891, MPFR_RNDN);
        mpfr_div(r22930, r22891, r22897, MPFR_RNDN);
        mpfr_neg(r22931, r22930, MPFR_RNDN);
        mpfr_sub(r22932, r22931, r22930, MPFR_RNDN);
        mpfr_fma(r22933, r22929, r22895, r22932, MPFR_RNDN);
        if (mpfr_get_si(r22925, MPFR_RNDN)) { mpfr_set(r22934, r22928, MPFR_RNDN); } else { mpfr_set(r22934, r22933, MPFR_RNDN); };
        if (mpfr_get_si(r22916, MPFR_RNDN)) { mpfr_set(r22935, r22923, MPFR_RNDN); } else { mpfr_set(r22935, r22934, MPFR_RNDN); };
        if (mpfr_get_si(r22905, MPFR_RNDN)) { mpfr_set(r22936, r22914, MPFR_RNDN); } else { mpfr_set(r22936, r22935, MPFR_RNDN); };
        if (mpfr_get_si(r22893, MPFR_RNDN)) { mpfr_set(r22937, r22903, MPFR_RNDN); } else { mpfr_set(r22937, r22936, MPFR_RNDN); };
        return mpfr_get_d(r22937, MPFR_RNDN);
}

