#include <tgmath.h>
#include <gmp.h>
#include <mpfr.h>
#include <stdio.h>
#include <stdbool.h>

char *name = "2nthrt (problem 3.4.6)";

double f_if(float x, float n) {
        float r22727 = x;
        float r22728 = 1;
        float r22729 = r22727 + r22728;
        float r22730 = n;
        float r22731 = r22728 / r22730;
        float r22732 = pow(r22729, r22731);
        float r22733 = pow(r22727, r22731);
        float r22734 = r22732 - r22733;
        return r22734;
}

double f_id(double x, double n) {
        double r22735 = x;
        double r22736 = 1;
        double r22737 = r22735 + r22736;
        double r22738 = n;
        double r22739 = r22736 / r22738;
        double r22740 = pow(r22737, r22739);
        double r22741 = pow(r22735, r22739);
        double r22742 = r22740 - r22741;
        return r22742;
}


double f_of(float x, float n) {
        float r22743 = x;
        float r22744 = 4.512235498273315e-293;
        bool r22745 = r22743 <= r22744;
        float r22746 = 1;
        float r22747 = r22743 + r22746;
        float r22748 = n;
        float r22749 = r22746 / r22748;
        float r22750 = pow(r22747, r22749);
        float r22751 = log(r22743);
        float r22752 = r22751 / r22748;
        float r22753 = exp(r22752);
        float r22754 = r22750 - r22753;
        float r22755 = cbrt(r22754);
        float r22756 = r22755 * r22755;
        float r22757 = r22756 * r22755;
        float r22758 = cbrt(r22757);
        float r22759 = r22756 * r22758;
        float r22760 = 0.6644846584934392;
        bool r22761 = r22743 <= r22760;
        float r22762 = r22746 + r22743;
        float r22763 = pow(r22762, r22749);
        float r22764 = r22763 - r22746;
        float r22765 = 1/2;
        float r22766 = r22765 / r22748;
        float r22767 = r22751 * r22766;
        float r22768 = r22748 / r22751;
        float r22769 = r22767 / r22768;
        float r22770 = r22764 - r22769;
        float r22771 = r22770 - r22752;
        float r22772 = 1.0233214133709562e+85;
        bool r22773 = r22743 <= r22772;
        float r22774 = r22749 / r22743;
        float r22775 = r22743 * r22743;
        float r22776 = r22766 / r22775;
        float r22777 = r22774 - r22776;
        float r22778 = r22748 * r22743;
        float r22779 = r22778 * r22748;
        float r22780 = r22751 / r22779;
        float r22781 = r22777 + r22780;
        float r22782 = 7.397169367886428e+148;
        bool r22783 = r22743 <= r22782;
        float r22784 = 1.0602671418134844e+160;
        bool r22785 = r22743 <= r22784;
        float r22786 = r22785 ? r22781 : r22759;
        float r22787 = r22783 ? r22759 : r22786;
        float r22788 = r22773 ? r22781 : r22787;
        float r22789 = r22761 ? r22771 : r22788;
        float r22790 = r22745 ? r22759 : r22789;
        return r22790;
}

double f_od(double x, double n) {
        double r22791 = x;
        double r22792 = 4.512235498273315e-293;
        bool r22793 = r22791 <= r22792;
        double r22794 = 1;
        double r22795 = r22791 + r22794;
        double r22796 = n;
        double r22797 = r22794 / r22796;
        double r22798 = pow(r22795, r22797);
        double r22799 = log(r22791);
        double r22800 = r22799 / r22796;
        double r22801 = exp(r22800);
        double r22802 = r22798 - r22801;
        double r22803 = cbrt(r22802);
        double r22804 = r22803 * r22803;
        double r22805 = r22804 * r22803;
        double r22806 = cbrt(r22805);
        double r22807 = r22804 * r22806;
        double r22808 = 0.6644846584934392;
        bool r22809 = r22791 <= r22808;
        double r22810 = r22794 + r22791;
        double r22811 = pow(r22810, r22797);
        double r22812 = r22811 - r22794;
        double r22813 = 1/2;
        double r22814 = r22813 / r22796;
        double r22815 = r22799 * r22814;
        double r22816 = r22796 / r22799;
        double r22817 = r22815 / r22816;
        double r22818 = r22812 - r22817;
        double r22819 = r22818 - r22800;
        double r22820 = 1.0233214133709562e+85;
        bool r22821 = r22791 <= r22820;
        double r22822 = r22797 / r22791;
        double r22823 = r22791 * r22791;
        double r22824 = r22814 / r22823;
        double r22825 = r22822 - r22824;
        double r22826 = r22796 * r22791;
        double r22827 = r22826 * r22796;
        double r22828 = r22799 / r22827;
        double r22829 = r22825 + r22828;
        double r22830 = 7.397169367886428e+148;
        bool r22831 = r22791 <= r22830;
        double r22832 = 1.0602671418134844e+160;
        bool r22833 = r22791 <= r22832;
        double r22834 = r22833 ? r22829 : r22807;
        double r22835 = r22831 ? r22807 : r22834;
        double r22836 = r22821 ? r22829 : r22835;
        double r22837 = r22809 ? r22819 : r22836;
        double r22838 = r22793 ? r22807 : r22837;
        return r22838;
}

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 r22839, r22840, r22841, r22842, r22843, r22844, r22845, r22846;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(4112);
        mpfr_init(r22839);
        mpfr_init_set_str(r22840, "1", 10, MPFR_RNDN);
        mpfr_init(r22841);
        mpfr_init(r22842);
        mpfr_init(r22843);
        mpfr_init(r22844);
        mpfr_init(r22845);
        mpfr_init(r22846);
}

double f_im(double x, double n) {
        mpfr_set_d(r22839, x, MPFR_RNDN);
        ;
        mpfr_add(r22841, r22839, r22840, MPFR_RNDN);
        mpfr_set_d(r22842, n, MPFR_RNDN);
        mpfr_div(r22843, r22840, r22842, MPFR_RNDN);
        mpfr_pow(r22844, r22841, r22843, MPFR_RNDN);
        mpfr_pow(r22845, r22839, r22843, MPFR_RNDN);
        mpfr_sub(r22846, r22844, r22845, MPFR_RNDN);
        return mpfr_get_d(r22846, MPFR_RNDN);
}

static mpfr_t 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, r22891, r22892, r22893, r22894;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(4112);
        mpfr_init(r22847);
        mpfr_init_set_str(r22848, "4.512235498273315e-293", 10, MPFR_RNDN);
        mpfr_init(r22849);
        mpfr_init_set_str(r22850, "1", 10, MPFR_RNDN);
        mpfr_init(r22851);
        mpfr_init(r22852);
        mpfr_init(r22853);
        mpfr_init(r22854);
        mpfr_init(r22855);
        mpfr_init(r22856);
        mpfr_init(r22857);
        mpfr_init(r22858);
        mpfr_init(r22859);
        mpfr_init(r22860);
        mpfr_init(r22861);
        mpfr_init(r22862);
        mpfr_init(r22863);
        mpfr_init_set_str(r22864, "0.6644846584934392", 10, MPFR_RNDN);
        mpfr_init(r22865);
        mpfr_init(r22866);
        mpfr_init(r22867);
        mpfr_init(r22868);
        mpfr_init_set_str(r22869, "1/2", 10, MPFR_RNDN);
        mpfr_init(r22870);
        mpfr_init(r22871);
        mpfr_init(r22872);
        mpfr_init(r22873);
        mpfr_init(r22874);
        mpfr_init(r22875);
        mpfr_init_set_str(r22876, "1.0233214133709562e+85", 10, MPFR_RNDN);
        mpfr_init(r22877);
        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_set_str(r22886, "7.397169367886428e+148", 10, MPFR_RNDN);
        mpfr_init(r22887);
        mpfr_init_set_str(r22888, "1.0602671418134844e+160", 10, MPFR_RNDN);
        mpfr_init(r22889);
        mpfr_init(r22890);
        mpfr_init(r22891);
        mpfr_init(r22892);
        mpfr_init(r22893);
        mpfr_init(r22894);
}

double f_fm(double x, double n) {
        mpfr_set_d(r22847, x, MPFR_RNDN);
        ;
        mpfr_set_si(r22849, mpfr_cmp(r22847, r22848) <= 0, MPFR_RNDN);
        ;
        mpfr_add(r22851, r22847, r22850, MPFR_RNDN);
        mpfr_set_d(r22852, n, MPFR_RNDN);
        mpfr_div(r22853, r22850, r22852, MPFR_RNDN);
        mpfr_pow(r22854, r22851, r22853, MPFR_RNDN);
        mpfr_log(r22855, r22847, MPFR_RNDN);
        mpfr_div(r22856, r22855, r22852, MPFR_RNDN);
        mpfr_exp(r22857, r22856, MPFR_RNDN);
        mpfr_sub(r22858, r22854, r22857, MPFR_RNDN);
        mpfr_cbrt(r22859, r22858, MPFR_RNDN);
        mpfr_mul(r22860, r22859, r22859, MPFR_RNDN);
        mpfr_mul(r22861, r22860, r22859, MPFR_RNDN);
        mpfr_cbrt(r22862, r22861, MPFR_RNDN);
        mpfr_mul(r22863, r22860, r22862, MPFR_RNDN);
        ;
        mpfr_set_si(r22865, mpfr_cmp(r22847, r22864) <= 0, MPFR_RNDN);
        mpfr_add(r22866, r22850, r22847, MPFR_RNDN);
        mpfr_pow(r22867, r22866, r22853, MPFR_RNDN);
        mpfr_sub(r22868, r22867, r22850, MPFR_RNDN);
        ;
        mpfr_div(r22870, r22869, r22852, MPFR_RNDN);
        mpfr_mul(r22871, r22855, r22870, MPFR_RNDN);
        mpfr_div(r22872, r22852, r22855, MPFR_RNDN);
        mpfr_div(r22873, r22871, r22872, MPFR_RNDN);
        mpfr_sub(r22874, r22868, r22873, MPFR_RNDN);
        mpfr_sub(r22875, r22874, r22856, MPFR_RNDN);
        ;
        mpfr_set_si(r22877, mpfr_cmp(r22847, r22876) <= 0, MPFR_RNDN);
        mpfr_div(r22878, r22853, r22847, MPFR_RNDN);
        mpfr_mul(r22879, r22847, r22847, MPFR_RNDN);
        mpfr_div(r22880, r22870, r22879, MPFR_RNDN);
        mpfr_sub(r22881, r22878, r22880, MPFR_RNDN);
        mpfr_mul(r22882, r22852, r22847, MPFR_RNDN);
        mpfr_mul(r22883, r22882, r22852, MPFR_RNDN);
        mpfr_div(r22884, r22855, r22883, MPFR_RNDN);
        mpfr_add(r22885, r22881, r22884, MPFR_RNDN);
        ;
        mpfr_set_si(r22887, mpfr_cmp(r22847, r22886) <= 0, MPFR_RNDN);
        ;
        mpfr_set_si(r22889, mpfr_cmp(r22847, r22888) <= 0, MPFR_RNDN);
        if (mpfr_get_si(r22889, MPFR_RNDN)) { mpfr_set(r22890, r22885, MPFR_RNDN); } else { mpfr_set(r22890, r22863, MPFR_RNDN); };
        if (mpfr_get_si(r22887, MPFR_RNDN)) { mpfr_set(r22891, r22863, MPFR_RNDN); } else { mpfr_set(r22891, r22890, MPFR_RNDN); };
        if (mpfr_get_si(r22877, MPFR_RNDN)) { mpfr_set(r22892, r22885, MPFR_RNDN); } else { mpfr_set(r22892, r22891, MPFR_RNDN); };
        if (mpfr_get_si(r22865, MPFR_RNDN)) { mpfr_set(r22893, r22875, MPFR_RNDN); } else { mpfr_set(r22893, r22892, MPFR_RNDN); };
        if (mpfr_get_si(r22849, MPFR_RNDN)) { mpfr_set(r22894, r22863, MPFR_RNDN); } else { mpfr_set(r22894, r22893, MPFR_RNDN); };
        return mpfr_get_d(r22894, MPFR_RNDN);
}

static mpfr_t 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, r22938, r22939, r22940, r22941, r22942;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(4112);
        mpfr_init(r22895);
        mpfr_init_set_str(r22896, "4.512235498273315e-293", 10, MPFR_RNDN);
        mpfr_init(r22897);
        mpfr_init_set_str(r22898, "1", 10, MPFR_RNDN);
        mpfr_init(r22899);
        mpfr_init(r22900);
        mpfr_init(r22901);
        mpfr_init(r22902);
        mpfr_init(r22903);
        mpfr_init(r22904);
        mpfr_init(r22905);
        mpfr_init(r22906);
        mpfr_init(r22907);
        mpfr_init(r22908);
        mpfr_init(r22909);
        mpfr_init(r22910);
        mpfr_init(r22911);
        mpfr_init_set_str(r22912, "0.6644846584934392", 10, MPFR_RNDN);
        mpfr_init(r22913);
        mpfr_init(r22914);
        mpfr_init(r22915);
        mpfr_init(r22916);
        mpfr_init_set_str(r22917, "1/2", 10, MPFR_RNDN);
        mpfr_init(r22918);
        mpfr_init(r22919);
        mpfr_init(r22920);
        mpfr_init(r22921);
        mpfr_init(r22922);
        mpfr_init(r22923);
        mpfr_init_set_str(r22924, "1.0233214133709562e+85", 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_set_str(r22934, "7.397169367886428e+148", 10, MPFR_RNDN);
        mpfr_init(r22935);
        mpfr_init_set_str(r22936, "1.0602671418134844e+160", 10, MPFR_RNDN);
        mpfr_init(r22937);
        mpfr_init(r22938);
        mpfr_init(r22939);
        mpfr_init(r22940);
        mpfr_init(r22941);
        mpfr_init(r22942);
}

double f_dm(double x, double n) {
        mpfr_set_d(r22895, x, MPFR_RNDN);
        ;
        mpfr_set_si(r22897, mpfr_cmp(r22895, r22896) <= 0, MPFR_RNDN);
        ;
        mpfr_add(r22899, r22895, r22898, MPFR_RNDN);
        mpfr_set_d(r22900, n, MPFR_RNDN);
        mpfr_div(r22901, r22898, r22900, MPFR_RNDN);
        mpfr_pow(r22902, r22899, r22901, MPFR_RNDN);
        mpfr_log(r22903, r22895, MPFR_RNDN);
        mpfr_div(r22904, r22903, r22900, MPFR_RNDN);
        mpfr_exp(r22905, r22904, MPFR_RNDN);
        mpfr_sub(r22906, r22902, r22905, MPFR_RNDN);
        mpfr_cbrt(r22907, r22906, MPFR_RNDN);
        mpfr_mul(r22908, r22907, r22907, MPFR_RNDN);
        mpfr_mul(r22909, r22908, r22907, MPFR_RNDN);
        mpfr_cbrt(r22910, r22909, MPFR_RNDN);
        mpfr_mul(r22911, r22908, r22910, MPFR_RNDN);
        ;
        mpfr_set_si(r22913, mpfr_cmp(r22895, r22912) <= 0, MPFR_RNDN);
        mpfr_add(r22914, r22898, r22895, MPFR_RNDN);
        mpfr_pow(r22915, r22914, r22901, MPFR_RNDN);
        mpfr_sub(r22916, r22915, r22898, MPFR_RNDN);
        ;
        mpfr_div(r22918, r22917, r22900, MPFR_RNDN);
        mpfr_mul(r22919, r22903, r22918, MPFR_RNDN);
        mpfr_div(r22920, r22900, r22903, MPFR_RNDN);
        mpfr_div(r22921, r22919, r22920, MPFR_RNDN);
        mpfr_sub(r22922, r22916, r22921, MPFR_RNDN);
        mpfr_sub(r22923, r22922, r22904, MPFR_RNDN);
        ;
        mpfr_set_si(r22925, mpfr_cmp(r22895, r22924) <= 0, MPFR_RNDN);
        mpfr_div(r22926, r22901, r22895, MPFR_RNDN);
        mpfr_mul(r22927, r22895, r22895, MPFR_RNDN);
        mpfr_div(r22928, r22918, r22927, MPFR_RNDN);
        mpfr_sub(r22929, r22926, r22928, MPFR_RNDN);
        mpfr_mul(r22930, r22900, r22895, MPFR_RNDN);
        mpfr_mul(r22931, r22930, r22900, MPFR_RNDN);
        mpfr_div(r22932, r22903, r22931, MPFR_RNDN);
        mpfr_add(r22933, r22929, r22932, MPFR_RNDN);
        ;
        mpfr_set_si(r22935, mpfr_cmp(r22895, r22934) <= 0, MPFR_RNDN);
        ;
        mpfr_set_si(r22937, mpfr_cmp(r22895, r22936) <= 0, MPFR_RNDN);
        if (mpfr_get_si(r22937, MPFR_RNDN)) { mpfr_set(r22938, r22933, MPFR_RNDN); } else { mpfr_set(r22938, r22911, MPFR_RNDN); };
        if (mpfr_get_si(r22935, MPFR_RNDN)) { mpfr_set(r22939, r22911, MPFR_RNDN); } else { mpfr_set(r22939, r22938, MPFR_RNDN); };
        if (mpfr_get_si(r22925, MPFR_RNDN)) { mpfr_set(r22940, r22933, MPFR_RNDN); } else { mpfr_set(r22940, r22939, MPFR_RNDN); };
        if (mpfr_get_si(r22913, MPFR_RNDN)) { mpfr_set(r22941, r22923, MPFR_RNDN); } else { mpfr_set(r22941, r22940, MPFR_RNDN); };
        if (mpfr_get_si(r22897, MPFR_RNDN)) { mpfr_set(r22942, r22911, MPFR_RNDN); } else { mpfr_set(r22942, r22941, MPFR_RNDN); };
        return mpfr_get_d(r22942, MPFR_RNDN);
}