#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 r22758 = x;
        float r22759 = 1;
        float r22760 = r22758 + r22759;
        float r22761 = n;
        float r22762 = r22759 / r22761;
        float r22763 = pow(r22760, r22762);
        float r22764 = pow(r22758, r22762);
        float r22765 = r22763 - r22764;
        return r22765;
}

double f_id(double x, double n) {
        double r22766 = x;
        double r22767 = 1;
        double r22768 = r22766 + r22767;
        double r22769 = n;
        double r22770 = r22767 / r22769;
        double r22771 = pow(r22768, r22770);
        double r22772 = pow(r22766, r22770);
        double r22773 = r22771 - r22772;
        return r22773;
}


double f_of(float x, float n) {
        float r22774 = x;
        float r22775 = 0.6494336565169249;
        bool r22776 = r22774 <= r22775;
        float r22777 = 1;
        float r22778 = r22777 + r22774;
        float r22779 = n;
        float r22780 = r22777 / r22779;
        float r22781 = pow(r22778, r22780);
        float r22782 = r22781 - r22777;
        float r22783 = log(r22774);
        float r22784 = 1/2;
        float r22785 = r22784 / r22779;
        float r22786 = r22783 * r22785;
        float r22787 = r22779 / r22783;
        float r22788 = r22786 / r22787;
        float r22789 = r22782 - r22788;
        float r22790 = r22783 / r22779;
        float r22791 = r22789 - r22790;
        float r22792 = 7.038456018210188e+135;
        bool r22793 = r22774 <= r22792;
        float r22794 = r22780 / r22774;
        float r22795 = r22774 * r22774;
        float r22796 = r22785 / r22795;
        float r22797 = r22794 - r22796;
        float r22798 = r22779 * r22774;
        float r22799 = r22798 * r22779;
        float r22800 = r22783 / r22799;
        float r22801 = r22797 + r22800;
        float r22802 = 9.493223571370615e+183;
        bool r22803 = r22774 <= r22802;
        float r22804 = r22774 + r22777;
        float r22805 = pow(r22804, r22780);
        float r22806 = cbrt(r22805);
        float r22807 = r22806 * r22806;
        float r22808 = r22807 * r22806;
        float r22809 = pow(r22774, r22780);
        float r22810 = r22808 - r22809;
        float r22811 = 9.520693218546424e+210;
        bool r22812 = r22774 <= r22811;
        float r22813 = r22781 - r22809;
        float r22814 = 3;
        float r22815 = pow(r22813, r22814);
        float r22816 = cbrt(r22815);
        float r22817 = pow(r22816, r22814);
        float r22818 = cbrt(r22817);
        float r22819 = pow(r22818, r22814);
        float r22820 = cbrt(r22819);
        float r22821 = r22812 ? r22801 : r22820;
        float r22822 = r22803 ? r22810 : r22821;
        float r22823 = r22793 ? r22801 : r22822;
        float r22824 = r22776 ? r22791 : r22823;
        return r22824;
}

double f_od(double x, double n) {
        double r22825 = x;
        double r22826 = 0.6494336565169249;
        bool r22827 = r22825 <= r22826;
        double r22828 = 1;
        double r22829 = r22828 + r22825;
        double r22830 = n;
        double r22831 = r22828 / r22830;
        double r22832 = pow(r22829, r22831);
        double r22833 = r22832 - r22828;
        double r22834 = log(r22825);
        double r22835 = 1/2;
        double r22836 = r22835 / r22830;
        double r22837 = r22834 * r22836;
        double r22838 = r22830 / r22834;
        double r22839 = r22837 / r22838;
        double r22840 = r22833 - r22839;
        double r22841 = r22834 / r22830;
        double r22842 = r22840 - r22841;
        double r22843 = 7.038456018210188e+135;
        bool r22844 = r22825 <= r22843;
        double r22845 = r22831 / r22825;
        double r22846 = r22825 * r22825;
        double r22847 = r22836 / r22846;
        double r22848 = r22845 - r22847;
        double r22849 = r22830 * r22825;
        double r22850 = r22849 * r22830;
        double r22851 = r22834 / r22850;
        double r22852 = r22848 + r22851;
        double r22853 = 9.493223571370615e+183;
        bool r22854 = r22825 <= r22853;
        double r22855 = r22825 + r22828;
        double r22856 = pow(r22855, r22831);
        double r22857 = cbrt(r22856);
        double r22858 = r22857 * r22857;
        double r22859 = r22858 * r22857;
        double r22860 = pow(r22825, r22831);
        double r22861 = r22859 - r22860;
        double r22862 = 9.520693218546424e+210;
        bool r22863 = r22825 <= r22862;
        double r22864 = r22832 - r22860;
        double r22865 = 3;
        double r22866 = pow(r22864, r22865);
        double r22867 = cbrt(r22866);
        double r22868 = pow(r22867, r22865);
        double r22869 = cbrt(r22868);
        double r22870 = pow(r22869, r22865);
        double r22871 = cbrt(r22870);
        double r22872 = r22863 ? r22852 : r22871;
        double r22873 = r22854 ? r22861 : r22872;
        double r22874 = r22844 ? r22852 : r22873;
        double r22875 = r22827 ? r22842 : r22874;
        return r22875;
}

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 r22876, r22877, r22878, r22879, r22880, r22881, r22882, r22883;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22876);
        mpfr_init_set_str(r22877, "1", 10, MPFR_RNDN);
        mpfr_init(r22878);
        mpfr_init(r22879);
        mpfr_init(r22880);
        mpfr_init(r22881);
        mpfr_init(r22882);
        mpfr_init(r22883);
}

double f_im(double x, double n) {
        mpfr_set_d(r22876, x, MPFR_RNDN);
        ;
        mpfr_add(r22878, r22876, r22877, MPFR_RNDN);
        mpfr_set_d(r22879, n, MPFR_RNDN);
        mpfr_div(r22880, r22877, r22879, MPFR_RNDN);
        mpfr_pow(r22881, r22878, r22880, MPFR_RNDN);
        mpfr_pow(r22882, r22876, r22880, MPFR_RNDN);
        mpfr_sub(r22883, r22881, r22882, MPFR_RNDN);
        return mpfr_get_d(r22883, MPFR_RNDN);
}

static mpfr_t r22884, r22885, r22886, 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;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22884);
        mpfr_init_set_str(r22885, "0.6494336565169249", 10, MPFR_RNDN);
        mpfr_init(r22886);
        mpfr_init_set_str(r22887, "1", 10, MPFR_RNDN);
        mpfr_init(r22888);
        mpfr_init(r22889);
        mpfr_init(r22890);
        mpfr_init(r22891);
        mpfr_init(r22892);
        mpfr_init(r22893);
        mpfr_init_set_str(r22894, "1/2", 10, MPFR_RNDN);
        mpfr_init(r22895);
        mpfr_init(r22896);
        mpfr_init(r22897);
        mpfr_init(r22898);
        mpfr_init(r22899);
        mpfr_init(r22900);
        mpfr_init(r22901);
        mpfr_init_set_str(r22902, "7.038456018210188e+135", 10, MPFR_RNDN);
        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, "9.493223571370615e+183", 10, MPFR_RNDN);
        mpfr_init(r22913);
        mpfr_init(r22914);
        mpfr_init(r22915);
        mpfr_init(r22916);
        mpfr_init(r22917);
        mpfr_init(r22918);
        mpfr_init(r22919);
        mpfr_init(r22920);
        mpfr_init_set_str(r22921, "9.520693218546424e+210", 10, MPFR_RNDN);
        mpfr_init(r22922);
        mpfr_init(r22923);
        mpfr_init_set_str(r22924, "3", 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);
}

double f_fm(double x, double n) {
        mpfr_set_d(r22884, x, MPFR_RNDN);
        ;
        mpfr_set_si(r22886, mpfr_cmp(r22884, r22885) <= 0, MPFR_RNDN);
        ;
        mpfr_add(r22888, r22887, r22884, MPFR_RNDN);
        mpfr_set_d(r22889, n, MPFR_RNDN);
        mpfr_div(r22890, r22887, r22889, MPFR_RNDN);
        mpfr_pow(r22891, r22888, r22890, MPFR_RNDN);
        mpfr_sub(r22892, r22891, r22887, MPFR_RNDN);
        mpfr_log(r22893, r22884, MPFR_RNDN);
        ;
        mpfr_div(r22895, r22894, r22889, MPFR_RNDN);
        mpfr_mul(r22896, r22893, r22895, MPFR_RNDN);
        mpfr_div(r22897, r22889, r22893, MPFR_RNDN);
        mpfr_div(r22898, r22896, r22897, MPFR_RNDN);
        mpfr_sub(r22899, r22892, r22898, MPFR_RNDN);
        mpfr_div(r22900, r22893, r22889, MPFR_RNDN);
        mpfr_sub(r22901, r22899, r22900, MPFR_RNDN);
        ;
        mpfr_set_si(r22903, mpfr_cmp(r22884, r22902) <= 0, MPFR_RNDN);
        mpfr_div(r22904, r22890, r22884, MPFR_RNDN);
        mpfr_mul(r22905, r22884, r22884, MPFR_RNDN);
        mpfr_div(r22906, r22895, r22905, MPFR_RNDN);
        mpfr_sub(r22907, r22904, r22906, MPFR_RNDN);
        mpfr_mul(r22908, r22889, r22884, MPFR_RNDN);
        mpfr_mul(r22909, r22908, r22889, MPFR_RNDN);
        mpfr_div(r22910, r22893, r22909, MPFR_RNDN);
        mpfr_add(r22911, r22907, r22910, MPFR_RNDN);
        ;
        mpfr_set_si(r22913, mpfr_cmp(r22884, r22912) <= 0, MPFR_RNDN);
        mpfr_add(r22914, r22884, r22887, MPFR_RNDN);
        mpfr_pow(r22915, r22914, r22890, MPFR_RNDN);
        mpfr_cbrt(r22916, r22915, MPFR_RNDN);
        mpfr_mul(r22917, r22916, r22916, MPFR_RNDN);
        mpfr_mul(r22918, r22917, r22916, MPFR_RNDN);
        mpfr_pow(r22919, r22884, r22890, MPFR_RNDN);
        mpfr_sub(r22920, r22918, r22919, MPFR_RNDN);
        ;
        mpfr_set_si(r22922, mpfr_cmp(r22884, r22921) <= 0, MPFR_RNDN);
        mpfr_sub(r22923, r22891, r22919, MPFR_RNDN);
        ;
        mpfr_pow(r22925, r22923, r22924, MPFR_RNDN);
        mpfr_cbrt(r22926, r22925, MPFR_RNDN);
        mpfr_pow(r22927, r22926, r22924, MPFR_RNDN);
        mpfr_cbrt(r22928, r22927, MPFR_RNDN);
        mpfr_pow(r22929, r22928, r22924, MPFR_RNDN);
        mpfr_cbrt(r22930, r22929, MPFR_RNDN);
        if (mpfr_get_si(r22922, MPFR_RNDN)) { mpfr_set(r22931, r22911, MPFR_RNDN); } else { mpfr_set(r22931, r22930, MPFR_RNDN); };
        if (mpfr_get_si(r22913, MPFR_RNDN)) { mpfr_set(r22932, r22920, MPFR_RNDN); } else { mpfr_set(r22932, r22931, MPFR_RNDN); };
        if (mpfr_get_si(r22903, MPFR_RNDN)) { mpfr_set(r22933, r22911, MPFR_RNDN); } else { mpfr_set(r22933, r22932, MPFR_RNDN); };
        if (mpfr_get_si(r22886, MPFR_RNDN)) { mpfr_set(r22934, r22901, MPFR_RNDN); } else { mpfr_set(r22934, r22933, MPFR_RNDN); };
        return mpfr_get_d(r22934, MPFR_RNDN);
}

static mpfr_t r22935, r22936, r22937, r22938, r22939, r22940, r22941, r22942, r22943, r22944, r22945, r22946, r22947, r22948, r22949, r22950, r22951, r22952, r22953, r22954, r22955, r22956, r22957, r22958, r22959, r22960, r22961, r22962, r22963, r22964, r22965, r22966, r22967, r22968, r22969, r22970, r22971, r22972, r22973, r22974, r22975, r22976, r22977, r22978, r22979, r22980, r22981, r22982, r22983, r22984, r22985;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22935);
        mpfr_init_set_str(r22936, "0.6494336565169249", 10, MPFR_RNDN);
        mpfr_init(r22937);
        mpfr_init_set_str(r22938, "1", 10, MPFR_RNDN);
        mpfr_init(r22939);
        mpfr_init(r22940);
        mpfr_init(r22941);
        mpfr_init(r22942);
        mpfr_init(r22943);
        mpfr_init(r22944);
        mpfr_init_set_str(r22945, "1/2", 10, MPFR_RNDN);
        mpfr_init(r22946);
        mpfr_init(r22947);
        mpfr_init(r22948);
        mpfr_init(r22949);
        mpfr_init(r22950);
        mpfr_init(r22951);
        mpfr_init(r22952);
        mpfr_init_set_str(r22953, "7.038456018210188e+135", 10, MPFR_RNDN);
        mpfr_init(r22954);
        mpfr_init(r22955);
        mpfr_init(r22956);
        mpfr_init(r22957);
        mpfr_init(r22958);
        mpfr_init(r22959);
        mpfr_init(r22960);
        mpfr_init(r22961);
        mpfr_init(r22962);
        mpfr_init_set_str(r22963, "9.493223571370615e+183", 10, MPFR_RNDN);
        mpfr_init(r22964);
        mpfr_init(r22965);
        mpfr_init(r22966);
        mpfr_init(r22967);
        mpfr_init(r22968);
        mpfr_init(r22969);
        mpfr_init(r22970);
        mpfr_init(r22971);
        mpfr_init_set_str(r22972, "9.520693218546424e+210", 10, MPFR_RNDN);
        mpfr_init(r22973);
        mpfr_init(r22974);
        mpfr_init_set_str(r22975, "3", 10, MPFR_RNDN);
        mpfr_init(r22976);
        mpfr_init(r22977);
        mpfr_init(r22978);
        mpfr_init(r22979);
        mpfr_init(r22980);
        mpfr_init(r22981);
        mpfr_init(r22982);
        mpfr_init(r22983);
        mpfr_init(r22984);
        mpfr_init(r22985);
}

double f_dm(double x, double n) {
        mpfr_set_d(r22935, x, MPFR_RNDN);
        ;
        mpfr_set_si(r22937, mpfr_cmp(r22935, r22936) <= 0, MPFR_RNDN);
        ;
        mpfr_add(r22939, r22938, r22935, MPFR_RNDN);
        mpfr_set_d(r22940, n, MPFR_RNDN);
        mpfr_div(r22941, r22938, r22940, MPFR_RNDN);
        mpfr_pow(r22942, r22939, r22941, MPFR_RNDN);
        mpfr_sub(r22943, r22942, r22938, MPFR_RNDN);
        mpfr_log(r22944, r22935, MPFR_RNDN);
        ;
        mpfr_div(r22946, r22945, r22940, MPFR_RNDN);
        mpfr_mul(r22947, r22944, r22946, MPFR_RNDN);
        mpfr_div(r22948, r22940, r22944, MPFR_RNDN);
        mpfr_div(r22949, r22947, r22948, MPFR_RNDN);
        mpfr_sub(r22950, r22943, r22949, MPFR_RNDN);
        mpfr_div(r22951, r22944, r22940, MPFR_RNDN);
        mpfr_sub(r22952, r22950, r22951, MPFR_RNDN);
        ;
        mpfr_set_si(r22954, mpfr_cmp(r22935, r22953) <= 0, MPFR_RNDN);
        mpfr_div(r22955, r22941, r22935, MPFR_RNDN);
        mpfr_mul(r22956, r22935, r22935, MPFR_RNDN);
        mpfr_div(r22957, r22946, r22956, MPFR_RNDN);
        mpfr_sub(r22958, r22955, r22957, MPFR_RNDN);
        mpfr_mul(r22959, r22940, r22935, MPFR_RNDN);
        mpfr_mul(r22960, r22959, r22940, MPFR_RNDN);
        mpfr_div(r22961, r22944, r22960, MPFR_RNDN);
        mpfr_add(r22962, r22958, r22961, MPFR_RNDN);
        ;
        mpfr_set_si(r22964, mpfr_cmp(r22935, r22963) <= 0, MPFR_RNDN);
        mpfr_add(r22965, r22935, r22938, MPFR_RNDN);
        mpfr_pow(r22966, r22965, r22941, MPFR_RNDN);
        mpfr_cbrt(r22967, r22966, MPFR_RNDN);
        mpfr_mul(r22968, r22967, r22967, MPFR_RNDN);
        mpfr_mul(r22969, r22968, r22967, MPFR_RNDN);
        mpfr_pow(r22970, r22935, r22941, MPFR_RNDN);
        mpfr_sub(r22971, r22969, r22970, MPFR_RNDN);
        ;
        mpfr_set_si(r22973, mpfr_cmp(r22935, r22972) <= 0, MPFR_RNDN);
        mpfr_sub(r22974, r22942, r22970, MPFR_RNDN);
        ;
        mpfr_pow(r22976, r22974, r22975, MPFR_RNDN);
        mpfr_cbrt(r22977, r22976, MPFR_RNDN);
        mpfr_pow(r22978, r22977, r22975, MPFR_RNDN);
        mpfr_cbrt(r22979, r22978, MPFR_RNDN);
        mpfr_pow(r22980, r22979, r22975, MPFR_RNDN);
        mpfr_cbrt(r22981, r22980, MPFR_RNDN);
        if (mpfr_get_si(r22973, MPFR_RNDN)) { mpfr_set(r22982, r22962, MPFR_RNDN); } else { mpfr_set(r22982, r22981, MPFR_RNDN); };
        if (mpfr_get_si(r22964, MPFR_RNDN)) { mpfr_set(r22983, r22971, MPFR_RNDN); } else { mpfr_set(r22983, r22982, MPFR_RNDN); };
        if (mpfr_get_si(r22954, MPFR_RNDN)) { mpfr_set(r22984, r22962, MPFR_RNDN); } else { mpfr_set(r22984, r22983, MPFR_RNDN); };
        if (mpfr_get_si(r22937, MPFR_RNDN)) { mpfr_set(r22985, r22952, MPFR_RNDN); } else { mpfr_set(r22985, r22984, MPFR_RNDN); };
        return mpfr_get_d(r22985, MPFR_RNDN);
}