#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 r22761 = x;
        float r22762 = 1;
        float r22763 = r22761 + r22762;
        float r22764 = n;
        float r22765 = r22762 / r22764;
        float r22766 = pow(r22763, r22765);
        float r22767 = pow(r22761, r22765);
        float r22768 = r22766 - r22767;
        return r22768;
}

double f_id(double x, double n) {
        double r22769 = x;
        double r22770 = 1;
        double r22771 = r22769 + r22770;
        double r22772 = n;
        double r22773 = r22770 / r22772;
        double r22774 = pow(r22771, r22773);
        double r22775 = pow(r22769, r22773);
        double r22776 = r22774 - r22775;
        return r22776;
}


double f_of(float x, float n) {
        float r22777 = x;
        float r22778 = 0.5101828990122546;
        bool r22779 = r22777 <= r22778;
        float r22780 = 1;
        float r22781 = r22780 + r22777;
        float r22782 = n;
        float r22783 = r22780 / r22782;
        float r22784 = pow(r22781, r22783);
        float r22785 = r22784 - r22780;
        float r22786 = log(r22777);
        float r22787 = 1/2;
        float r22788 = r22787 / r22782;
        float r22789 = r22786 * r22788;
        float r22790 = r22782 / r22786;
        float r22791 = r22789 / r22790;
        float r22792 = r22785 - r22791;
        float r22793 = r22786 / r22782;
        float r22794 = r22792 - r22793;
        float r22795 = exp(r22793);
        float r22796 = sqrt(r22795);
        float r22797 = r22796 * r22796;
        float r22798 = r22783 / r22777;
        float r22799 = r22787 / r22777;
        float r22800 = exp(r22799);
        float r22801 = r22798 / r22800;
        float r22802 = r22797 * r22801;
        float r22803 = r22779 ? r22794 : r22802;
        return r22803;
}

double f_od(double x, double n) {
        double r22804 = x;
        double r22805 = 0.5101828990122546;
        bool r22806 = r22804 <= r22805;
        double r22807 = 1;
        double r22808 = r22807 + r22804;
        double r22809 = n;
        double r22810 = r22807 / r22809;
        double r22811 = pow(r22808, r22810);
        double r22812 = r22811 - r22807;
        double r22813 = log(r22804);
        double r22814 = 1/2;
        double r22815 = r22814 / r22809;
        double r22816 = r22813 * r22815;
        double r22817 = r22809 / r22813;
        double r22818 = r22816 / r22817;
        double r22819 = r22812 - r22818;
        double r22820 = r22813 / r22809;
        double r22821 = r22819 - r22820;
        double r22822 = exp(r22820);
        double r22823 = sqrt(r22822);
        double r22824 = r22823 * r22823;
        double r22825 = r22810 / r22804;
        double r22826 = r22814 / r22804;
        double r22827 = exp(r22826);
        double r22828 = r22825 / r22827;
        double r22829 = r22824 * r22828;
        double r22830 = r22806 ? r22821 : r22829;
        return r22830;
}

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 r22831, r22832, r22833, r22834, r22835, r22836, r22837, r22838;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22831);
        mpfr_init_set_str(r22832, "1", 10, MPFR_RNDN);
        mpfr_init(r22833);
        mpfr_init(r22834);
        mpfr_init(r22835);
        mpfr_init(r22836);
        mpfr_init(r22837);
        mpfr_init(r22838);
}

double f_im(double x, double n) {
        mpfr_set_d(r22831, x, MPFR_RNDN);
        ;
        mpfr_add(r22833, r22831, r22832, MPFR_RNDN);
        mpfr_set_d(r22834, n, MPFR_RNDN);
        mpfr_div(r22835, r22832, r22834, MPFR_RNDN);
        mpfr_pow(r22836, r22833, r22835, MPFR_RNDN);
        mpfr_pow(r22837, r22831, r22835, MPFR_RNDN);
        mpfr_sub(r22838, r22836, r22837, MPFR_RNDN);
        return mpfr_get_d(r22838, MPFR_RNDN);
}

static mpfr_t 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;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22839);
        mpfr_init_set_str(r22840, "0.5101828990122546", 10, MPFR_RNDN);
        mpfr_init(r22841);
        mpfr_init_set_str(r22842, "1", 10, MPFR_RNDN);
        mpfr_init(r22843);
        mpfr_init(r22844);
        mpfr_init(r22845);
        mpfr_init(r22846);
        mpfr_init(r22847);
        mpfr_init(r22848);
        mpfr_init_set_str(r22849, "1/2", 10, MPFR_RNDN);
        mpfr_init(r22850);
        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(r22864);
        mpfr_init(r22865);
}

double f_fm(double x, double n) {
        mpfr_set_d(r22839, x, MPFR_RNDN);
        ;
        mpfr_set_si(r22841, mpfr_cmp(r22839, r22840) <= 0, MPFR_RNDN);
        ;
        mpfr_add(r22843, r22842, r22839, MPFR_RNDN);
        mpfr_set_d(r22844, n, MPFR_RNDN);
        mpfr_div(r22845, r22842, r22844, MPFR_RNDN);
        mpfr_pow(r22846, r22843, r22845, MPFR_RNDN);
        mpfr_sub(r22847, r22846, r22842, MPFR_RNDN);
        mpfr_log(r22848, r22839, MPFR_RNDN);
        ;
        mpfr_div(r22850, r22849, r22844, MPFR_RNDN);
        mpfr_mul(r22851, r22848, r22850, MPFR_RNDN);
        mpfr_div(r22852, r22844, r22848, MPFR_RNDN);
        mpfr_div(r22853, r22851, r22852, MPFR_RNDN);
        mpfr_sub(r22854, r22847, r22853, MPFR_RNDN);
        mpfr_div(r22855, r22848, r22844, MPFR_RNDN);
        mpfr_sub(r22856, r22854, r22855, MPFR_RNDN);
        mpfr_exp(r22857, r22855, MPFR_RNDN);
        mpfr_sqrt(r22858, r22857, MPFR_RNDN);
        mpfr_mul(r22859, r22858, r22858, MPFR_RNDN);
        mpfr_div(r22860, r22845, r22839, MPFR_RNDN);
        mpfr_div(r22861, r22849, r22839, MPFR_RNDN);
        mpfr_exp(r22862, r22861, MPFR_RNDN);
        mpfr_div(r22863, r22860, r22862, MPFR_RNDN);
        mpfr_mul(r22864, r22859, r22863, MPFR_RNDN);
        if (mpfr_get_si(r22841, MPFR_RNDN)) { mpfr_set(r22865, r22856, MPFR_RNDN); } else { mpfr_set(r22865, r22864, MPFR_RNDN); };
        return mpfr_get_d(r22865, MPFR_RNDN);
}

static mpfr_t 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;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22866);
        mpfr_init_set_str(r22867, "0.5101828990122546", 10, MPFR_RNDN);
        mpfr_init(r22868);
        mpfr_init_set_str(r22869, "1", 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, "1/2", 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(r22886);
        mpfr_init(r22887);
        mpfr_init(r22888);
        mpfr_init(r22889);
        mpfr_init(r22890);
        mpfr_init(r22891);
        mpfr_init(r22892);
}

double f_dm(double x, double n) {
        mpfr_set_d(r22866, x, MPFR_RNDN);
        ;
        mpfr_set_si(r22868, mpfr_cmp(r22866, r22867) <= 0, MPFR_RNDN);
        ;
        mpfr_add(r22870, r22869, r22866, MPFR_RNDN);
        mpfr_set_d(r22871, n, MPFR_RNDN);
        mpfr_div(r22872, r22869, r22871, MPFR_RNDN);
        mpfr_pow(r22873, r22870, r22872, MPFR_RNDN);
        mpfr_sub(r22874, r22873, r22869, MPFR_RNDN);
        mpfr_log(r22875, r22866, MPFR_RNDN);
        ;
        mpfr_div(r22877, r22876, r22871, MPFR_RNDN);
        mpfr_mul(r22878, r22875, r22877, MPFR_RNDN);
        mpfr_div(r22879, r22871, r22875, MPFR_RNDN);
        mpfr_div(r22880, r22878, r22879, MPFR_RNDN);
        mpfr_sub(r22881, r22874, r22880, MPFR_RNDN);
        mpfr_div(r22882, r22875, r22871, MPFR_RNDN);
        mpfr_sub(r22883, r22881, r22882, MPFR_RNDN);
        mpfr_exp(r22884, r22882, MPFR_RNDN);
        mpfr_sqrt(r22885, r22884, MPFR_RNDN);
        mpfr_mul(r22886, r22885, r22885, MPFR_RNDN);
        mpfr_div(r22887, r22872, r22866, MPFR_RNDN);
        mpfr_div(r22888, r22876, r22866, MPFR_RNDN);
        mpfr_exp(r22889, r22888, MPFR_RNDN);
        mpfr_div(r22890, r22887, r22889, MPFR_RNDN);
        mpfr_mul(r22891, r22886, r22890, MPFR_RNDN);
        if (mpfr_get_si(r22868, MPFR_RNDN)) { mpfr_set(r22892, r22883, MPFR_RNDN); } else { mpfr_set(r22892, r22891, MPFR_RNDN); };
        return mpfr_get_d(r22892, MPFR_RNDN);
}