#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 r22713 = x;
        float r22714 = 1;
        float r22715 = r22713 + r22714;
        float r22716 = n;
        float r22717 = r22714 / r22716;
        float r22718 = pow(r22715, r22717);
        float r22719 = pow(r22713, r22717);
        float r22720 = r22718 - r22719;
        return r22720;
}

double f_id(double x, double n) {
        double r22721 = x;
        double r22722 = 1;
        double r22723 = r22721 + r22722;
        double r22724 = n;
        double r22725 = r22722 / r22724;
        double r22726 = pow(r22723, r22725);
        double r22727 = pow(r22721, r22725);
        double r22728 = r22726 - r22727;
        return r22728;
}


double f_of(float x, float n) {
        float r22729 = x;
        float r22730 = log1p(r22729);
        float r22731 = n;
        float r22732 = r22730 / r22731;
        float r22733 = expm1(r22732);
        float r22734 = 1/2;
        float r22735 = r22734 / r22731;
        float r22736 = r22735 / r22731;
        float r22737 = log(r22729);
        float r22738 = r22737 * r22737;
        float r22739 = r22737 / r22731;
        float r22740 = fma(r22736, r22738, r22739);
        float r22741 = r22733 - r22740;
        float r22742 = cbrt(r22741);
        float r22743 = cbrt(r22742);
        float r22744 = r22743 * r22743;
        float r22745 = r22744 * r22743;
        float r22746 = r22742 * r22745;
        float r22747 = r22746 * r22742;
        float r22748 = -3560.253012610007;
        bool r22749 = r22747 <= r22748;
        float r22750 = exp(1.0);
        float r22751 = pow(r22750, r22732);
        float r22752 = 1;
        float r22753 = r22752 / r22731;
        float r22754 = pow(r22729, r22753);
        float r22755 = r22751 - r22754;
        float r22756 = -8.631719590496053e-307;
        bool r22757 = r22747 <= r22756;
        float r22758 = r22737 * r22753;
        float r22759 = fma(r22736, r22738, r22758);
        float r22760 = r22733 - r22759;
        float r22761 = 0.0;
        bool r22762 = r22747 <= r22761;
        float r22763 = r22731 * r22731;
        float r22764 = r22737 / r22763;
        float r22765 = r22764 / r22729;
        float r22766 = r22729 * r22729;
        float r22767 = r22735 / r22766;
        float r22768 = r22729 * r22731;
        float r22769 = r22752 / r22768;
        float r22770 = r22767 - r22769;
        float r22771 = r22765 - r22770;
        float r22772 = r22731 / r22737;
        float r22773 = r22752 / r22772;
        float r22774 = fma(r22736, r22738, r22773);
        float r22775 = r22733 - r22774;
        float r22776 = r22762 ? r22771 : r22775;
        float r22777 = r22757 ? r22760 : r22776;
        float r22778 = r22749 ? r22755 : r22777;
        return r22778;
}

double f_od(double x, double n) {
        double r22779 = x;
        double r22780 = log1p(r22779);
        double r22781 = n;
        double r22782 = r22780 / r22781;
        double r22783 = expm1(r22782);
        double r22784 = 1/2;
        double r22785 = r22784 / r22781;
        double r22786 = r22785 / r22781;
        double r22787 = log(r22779);
        double r22788 = r22787 * r22787;
        double r22789 = r22787 / r22781;
        double r22790 = fma(r22786, r22788, r22789);
        double r22791 = r22783 - r22790;
        double r22792 = cbrt(r22791);
        double r22793 = cbrt(r22792);
        double r22794 = r22793 * r22793;
        double r22795 = r22794 * r22793;
        double r22796 = r22792 * r22795;
        double r22797 = r22796 * r22792;
        double r22798 = -3560.253012610007;
        bool r22799 = r22797 <= r22798;
        double r22800 = exp(1.0);
        double r22801 = pow(r22800, r22782);
        double r22802 = 1;
        double r22803 = r22802 / r22781;
        double r22804 = pow(r22779, r22803);
        double r22805 = r22801 - r22804;
        double r22806 = -8.631719590496053e-307;
        bool r22807 = r22797 <= r22806;
        double r22808 = r22787 * r22803;
        double r22809 = fma(r22786, r22788, r22808);
        double r22810 = r22783 - r22809;
        double r22811 = 0.0;
        bool r22812 = r22797 <= r22811;
        double r22813 = r22781 * r22781;
        double r22814 = r22787 / r22813;
        double r22815 = r22814 / r22779;
        double r22816 = r22779 * r22779;
        double r22817 = r22785 / r22816;
        double r22818 = r22779 * r22781;
        double r22819 = r22802 / r22818;
        double r22820 = r22817 - r22819;
        double r22821 = r22815 - r22820;
        double r22822 = r22781 / r22787;
        double r22823 = r22802 / r22822;
        double r22824 = fma(r22786, r22788, r22823);
        double r22825 = r22783 - r22824;
        double r22826 = r22812 ? r22821 : r22825;
        double r22827 = r22807 ? r22810 : r22826;
        double r22828 = r22799 ? r22805 : r22827;
        return r22828;
}

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 r22829, r22830, r22831, r22832, r22833, r22834, r22835, r22836;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22829);
        mpfr_init_set_str(r22830, "1", 10, MPFR_RNDN);
        mpfr_init(r22831);
        mpfr_init(r22832);
        mpfr_init(r22833);
        mpfr_init(r22834);
        mpfr_init(r22835);
        mpfr_init(r22836);
}

double f_im(double x, double n) {
        mpfr_set_d(r22829, x, MPFR_RNDN);
        ;
        mpfr_add(r22831, r22829, r22830, MPFR_RNDN);
        mpfr_set_d(r22832, n, MPFR_RNDN);
        mpfr_div(r22833, r22830, r22832, MPFR_RNDN);
        mpfr_pow(r22834, r22831, r22833, MPFR_RNDN);
        mpfr_pow(r22835, r22829, r22833, MPFR_RNDN);
        mpfr_sub(r22836, r22834, r22835, MPFR_RNDN);
        return mpfr_get_d(r22836, MPFR_RNDN);
}

static mpfr_t r22837, r22838, r22839, r22840, r22841, r22842, r22843, 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;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22837);
        mpfr_init(r22838);
        mpfr_init(r22839);
        mpfr_init(r22840);
        mpfr_init(r22841);
        mpfr_init_set_str(r22842, "1/2", 10, MPFR_RNDN);
        mpfr_init(r22843);
        mpfr_init(r22844);
        mpfr_init(r22845);
        mpfr_init(r22846);
        mpfr_init(r22847);
        mpfr_init(r22848);
        mpfr_init(r22849);
        mpfr_init(r22850);
        mpfr_init(r22851);
        mpfr_init(r22852);
        mpfr_init(r22853);
        mpfr_init(r22854);
        mpfr_init(r22855);
        mpfr_init_set_str(r22856, "-3560.253012610007", 10, MPFR_RNDN);
        mpfr_init(r22857);
        mpfr_init(r22858);
        mpfr_init(r22859);
        mpfr_init_set_str(r22860, "1", 10, MPFR_RNDN);
        mpfr_init(r22861);
        mpfr_init(r22862);
        mpfr_init(r22863);
        mpfr_init_set_str(r22864, "-8.631719590496053e-307", 10, MPFR_RNDN);
        mpfr_init(r22865);
        mpfr_init(r22866);
        mpfr_init(r22867);
        mpfr_init(r22868);
        mpfr_init_set_str(r22869, "0.0", 10, MPFR_RNDN);
        mpfr_init(r22870);
        mpfr_init(r22871);
        mpfr_init(r22872);
        mpfr_init(r22873);
        mpfr_init(r22874);
        mpfr_init(r22875);
        mpfr_init(r22876);
        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(r22886);
}

double f_fm(double x, double n) {
        mpfr_set_d(r22837, x, MPFR_RNDN);
        mpfr_log1p(r22838, r22837, MPFR_RNDN);
        mpfr_set_d(r22839, n, MPFR_RNDN);
        mpfr_div(r22840, r22838, r22839, MPFR_RNDN);
        mpfr_expm1(r22841, r22840, MPFR_RNDN);
        ;
        mpfr_div(r22843, r22842, r22839, MPFR_RNDN);
        mpfr_div(r22844, r22843, r22839, MPFR_RNDN);
        mpfr_log(r22845, r22837, MPFR_RNDN);
        mpfr_mul(r22846, r22845, r22845, MPFR_RNDN);
        mpfr_div(r22847, r22845, r22839, MPFR_RNDN);
        mpfr_fma(r22848, r22844, r22846, r22847, MPFR_RNDN);
        mpfr_sub(r22849, r22841, r22848, MPFR_RNDN);
        mpfr_cbrt(r22850, r22849, MPFR_RNDN);
        mpfr_cbrt(r22851, r22850, MPFR_RNDN);
        mpfr_mul(r22852, r22851, r22851, MPFR_RNDN);
        mpfr_mul(r22853, r22852, r22851, MPFR_RNDN);
        mpfr_mul(r22854, r22850, r22853, MPFR_RNDN);
        mpfr_mul(r22855, r22854, r22850, MPFR_RNDN);
        ;
        mpfr_set_si(r22857, mpfr_cmp(r22855, r22856) <= 0, MPFR_RNDN);
        mpfr_set_si(r22858, 1, MPFR_RNDN), mpfr_const_exp(r22858, r22858, MPFR_RNDN);
        mpfr_pow(r22859, r22858, r22840, MPFR_RNDN);
        ;
        mpfr_div(r22861, r22860, r22839, MPFR_RNDN);
        mpfr_pow(r22862, r22837, r22861, MPFR_RNDN);
        mpfr_sub(r22863, r22859, r22862, MPFR_RNDN);
        ;
        mpfr_set_si(r22865, mpfr_cmp(r22855, r22864) <= 0, MPFR_RNDN);
        mpfr_mul(r22866, r22845, r22861, MPFR_RNDN);
        mpfr_fma(r22867, r22844, r22846, r22866, MPFR_RNDN);
        mpfr_sub(r22868, r22841, r22867, MPFR_RNDN);
        ;
        mpfr_set_si(r22870, mpfr_cmp(r22855, r22869) <= 0, MPFR_RNDN);
        mpfr_mul(r22871, r22839, r22839, MPFR_RNDN);
        mpfr_div(r22872, r22845, r22871, MPFR_RNDN);
        mpfr_div(r22873, r22872, r22837, MPFR_RNDN);
        mpfr_mul(r22874, r22837, r22837, MPFR_RNDN);
        mpfr_div(r22875, r22843, r22874, MPFR_RNDN);
        mpfr_mul(r22876, r22837, r22839, MPFR_RNDN);
        mpfr_div(r22877, r22860, r22876, MPFR_RNDN);
        mpfr_sub(r22878, r22875, r22877, MPFR_RNDN);
        mpfr_sub(r22879, r22873, r22878, MPFR_RNDN);
        mpfr_div(r22880, r22839, r22845, MPFR_RNDN);
        mpfr_div(r22881, r22860, r22880, MPFR_RNDN);
        mpfr_fma(r22882, r22844, r22846, r22881, MPFR_RNDN);
        mpfr_sub(r22883, r22841, r22882, MPFR_RNDN);
        if (mpfr_get_si(r22870, MPFR_RNDN)) { mpfr_set(r22884, r22879, MPFR_RNDN); } else { mpfr_set(r22884, r22883, MPFR_RNDN); };
        if (mpfr_get_si(r22865, MPFR_RNDN)) { mpfr_set(r22885, r22868, MPFR_RNDN); } else { mpfr_set(r22885, r22884, MPFR_RNDN); };
        if (mpfr_get_si(r22857, MPFR_RNDN)) { mpfr_set(r22886, r22863, MPFR_RNDN); } else { mpfr_set(r22886, r22885, MPFR_RNDN); };
        return mpfr_get_d(r22886, MPFR_RNDN);
}

static mpfr_t r22887, r22888, r22889, r22890, 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;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22887);
        mpfr_init(r22888);
        mpfr_init(r22889);
        mpfr_init(r22890);
        mpfr_init(r22891);
        mpfr_init_set_str(r22892, "1/2", 10, MPFR_RNDN);
        mpfr_init(r22893);
        mpfr_init(r22894);
        mpfr_init(r22895);
        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(r22904);
        mpfr_init(r22905);
        mpfr_init_set_str(r22906, "-3560.253012610007", 10, MPFR_RNDN);
        mpfr_init(r22907);
        mpfr_init(r22908);
        mpfr_init(r22909);
        mpfr_init_set_str(r22910, "1", 10, MPFR_RNDN);
        mpfr_init(r22911);
        mpfr_init(r22912);
        mpfr_init(r22913);
        mpfr_init_set_str(r22914, "-8.631719590496053e-307", 10, MPFR_RNDN);
        mpfr_init(r22915);
        mpfr_init(r22916);
        mpfr_init(r22917);
        mpfr_init(r22918);
        mpfr_init_set_str(r22919, "0.0", 10, MPFR_RNDN);
        mpfr_init(r22920);
        mpfr_init(r22921);
        mpfr_init(r22922);
        mpfr_init(r22923);
        mpfr_init(r22924);
        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);
}

double f_dm(double x, double n) {
        mpfr_set_d(r22887, x, MPFR_RNDN);
        mpfr_log1p(r22888, r22887, MPFR_RNDN);
        mpfr_set_d(r22889, n, MPFR_RNDN);
        mpfr_div(r22890, r22888, r22889, MPFR_RNDN);
        mpfr_expm1(r22891, r22890, MPFR_RNDN);
        ;
        mpfr_div(r22893, r22892, r22889, MPFR_RNDN);
        mpfr_div(r22894, r22893, r22889, MPFR_RNDN);
        mpfr_log(r22895, r22887, MPFR_RNDN);
        mpfr_mul(r22896, r22895, r22895, MPFR_RNDN);
        mpfr_div(r22897, r22895, r22889, MPFR_RNDN);
        mpfr_fma(r22898, r22894, r22896, r22897, MPFR_RNDN);
        mpfr_sub(r22899, r22891, r22898, MPFR_RNDN);
        mpfr_cbrt(r22900, r22899, MPFR_RNDN);
        mpfr_cbrt(r22901, r22900, MPFR_RNDN);
        mpfr_mul(r22902, r22901, r22901, MPFR_RNDN);
        mpfr_mul(r22903, r22902, r22901, MPFR_RNDN);
        mpfr_mul(r22904, r22900, r22903, MPFR_RNDN);
        mpfr_mul(r22905, r22904, r22900, MPFR_RNDN);
        ;
        mpfr_set_si(r22907, mpfr_cmp(r22905, r22906) <= 0, MPFR_RNDN);
        mpfr_set_si(r22908, 1, MPFR_RNDN), mpfr_const_exp(r22908, r22908, MPFR_RNDN);
        mpfr_pow(r22909, r22908, r22890, MPFR_RNDN);
        ;
        mpfr_div(r22911, r22910, r22889, MPFR_RNDN);
        mpfr_pow(r22912, r22887, r22911, MPFR_RNDN);
        mpfr_sub(r22913, r22909, r22912, MPFR_RNDN);
        ;
        mpfr_set_si(r22915, mpfr_cmp(r22905, r22914) <= 0, MPFR_RNDN);
        mpfr_mul(r22916, r22895, r22911, MPFR_RNDN);
        mpfr_fma(r22917, r22894, r22896, r22916, MPFR_RNDN);
        mpfr_sub(r22918, r22891, r22917, MPFR_RNDN);
        ;
        mpfr_set_si(r22920, mpfr_cmp(r22905, r22919) <= 0, MPFR_RNDN);
        mpfr_mul(r22921, r22889, r22889, MPFR_RNDN);
        mpfr_div(r22922, r22895, r22921, MPFR_RNDN);
        mpfr_div(r22923, r22922, r22887, MPFR_RNDN);
        mpfr_mul(r22924, r22887, r22887, MPFR_RNDN);
        mpfr_div(r22925, r22893, r22924, MPFR_RNDN);
        mpfr_mul(r22926, r22887, r22889, MPFR_RNDN);
        mpfr_div(r22927, r22910, r22926, MPFR_RNDN);
        mpfr_sub(r22928, r22925, r22927, MPFR_RNDN);
        mpfr_sub(r22929, r22923, r22928, MPFR_RNDN);
        mpfr_div(r22930, r22889, r22895, MPFR_RNDN);
        mpfr_div(r22931, r22910, r22930, MPFR_RNDN);
        mpfr_fma(r22932, r22894, r22896, r22931, MPFR_RNDN);
        mpfr_sub(r22933, r22891, r22932, MPFR_RNDN);
        if (mpfr_get_si(r22920, MPFR_RNDN)) { mpfr_set(r22934, r22929, MPFR_RNDN); } else { mpfr_set(r22934, r22933, MPFR_RNDN); };
        if (mpfr_get_si(r22915, MPFR_RNDN)) { mpfr_set(r22935, r22918, MPFR_RNDN); } else { mpfr_set(r22935, r22934, MPFR_RNDN); };
        if (mpfr_get_si(r22907, MPFR_RNDN)) { mpfr_set(r22936, r22913, MPFR_RNDN); } else { mpfr_set(r22936, r22935, MPFR_RNDN); };
        return mpfr_get_d(r22936, MPFR_RNDN);
}