#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 r22747 = x;
        float r22748 = 1;
        float r22749 = r22747 + r22748;
        float r22750 = n;
        float r22751 = r22748 / r22750;
        float r22752 = pow(r22749, r22751);
        float r22753 = pow(r22747, r22751);
        float r22754 = r22752 - r22753;
        return r22754;
}

double f_id(double x, double n) {
        double r22755 = x;
        double r22756 = 1;
        double r22757 = r22755 + r22756;
        double r22758 = n;
        double r22759 = r22756 / r22758;
        double r22760 = pow(r22757, r22759);
        double r22761 = pow(r22755, r22759);
        double r22762 = r22760 - r22761;
        return r22762;
}


double f_of(float x, float n) {
        float r22763 = x;
        float r22764 = 4.0804696887244732e-171;
        bool r22765 = r22763 <= r22764;
        float r22766 = 1;
        float r22767 = r22766 + r22763;
        float r22768 = n;
        float r22769 = r22766 / r22768;
        float r22770 = pow(r22767, r22769);
        float r22771 = r22770 - r22766;
        float r22772 = log(r22763);
        float r22773 = 1/2;
        float r22774 = r22773 / r22768;
        float r22775 = r22772 * r22774;
        float r22776 = r22768 / r22772;
        float r22777 = r22775 / r22776;
        float r22778 = r22771 - r22777;
        float r22779 = r22772 / r22768;
        float r22780 = r22778 - r22779;
        float r22781 = 2.445249583047896e-146;
        bool r22782 = r22763 <= r22781;
        float r22783 = r22763 + r22766;
        float r22784 = pow(r22783, r22769);
        float r22785 = r22784 * r22784;
        float r22786 = pow(r22763, r22769);
        float r22787 = r22786 * r22786;
        float r22788 = r22785 - r22787;
        float r22789 = r22784 + r22786;
        float r22790 = r22788 / r22789;
        float r22791 = 0.7791569556313969;
        bool r22792 = r22763 <= r22791;
        float r22793 = 1.6865317045697496e+118;
        bool r22794 = r22763 <= r22793;
        float r22795 = r22769 / r22763;
        float r22796 = r22763 * r22763;
        float r22797 = r22774 / r22796;
        float r22798 = r22795 - r22797;
        float r22799 = r22768 * r22763;
        float r22800 = r22799 * r22768;
        float r22801 = r22772 / r22800;
        float r22802 = r22798 + r22801;
        float r22803 = r22770 - r22786;
        float r22804 = exp(r22803);
        float r22805 = cbrt(r22804);
        float r22806 = r22805 * r22805;
        float r22807 = log(r22806);
        float r22808 = exp(r22770);
        float r22809 = cbrt(r22808);
        float r22810 = log(r22809);
        float r22811 = exp(r22786);
        float r22812 = cbrt(r22811);
        float r22813 = log(r22812);
        float r22814 = r22810 - r22813;
        float r22815 = r22807 + r22814;
        float r22816 = r22794 ? r22802 : r22815;
        float r22817 = r22792 ? r22780 : r22816;
        float r22818 = r22782 ? r22790 : r22817;
        float r22819 = r22765 ? r22780 : r22818;
        return r22819;
}

double f_od(double x, double n) {
        double r22820 = x;
        double r22821 = 4.0804696887244732e-171;
        bool r22822 = r22820 <= r22821;
        double r22823 = 1;
        double r22824 = r22823 + r22820;
        double r22825 = n;
        double r22826 = r22823 / r22825;
        double r22827 = pow(r22824, r22826);
        double r22828 = r22827 - r22823;
        double r22829 = log(r22820);
        double r22830 = 1/2;
        double r22831 = r22830 / r22825;
        double r22832 = r22829 * r22831;
        double r22833 = r22825 / r22829;
        double r22834 = r22832 / r22833;
        double r22835 = r22828 - r22834;
        double r22836 = r22829 / r22825;
        double r22837 = r22835 - r22836;
        double r22838 = 2.445249583047896e-146;
        bool r22839 = r22820 <= r22838;
        double r22840 = r22820 + r22823;
        double r22841 = pow(r22840, r22826);
        double r22842 = r22841 * r22841;
        double r22843 = pow(r22820, r22826);
        double r22844 = r22843 * r22843;
        double r22845 = r22842 - r22844;
        double r22846 = r22841 + r22843;
        double r22847 = r22845 / r22846;
        double r22848 = 0.7791569556313969;
        bool r22849 = r22820 <= r22848;
        double r22850 = 1.6865317045697496e+118;
        bool r22851 = r22820 <= r22850;
        double r22852 = r22826 / r22820;
        double r22853 = r22820 * r22820;
        double r22854 = r22831 / r22853;
        double r22855 = r22852 - r22854;
        double r22856 = r22825 * r22820;
        double r22857 = r22856 * r22825;
        double r22858 = r22829 / r22857;
        double r22859 = r22855 + r22858;
        double r22860 = r22827 - r22843;
        double r22861 = exp(r22860);
        double r22862 = cbrt(r22861);
        double r22863 = r22862 * r22862;
        double r22864 = log(r22863);
        double r22865 = exp(r22827);
        double r22866 = cbrt(r22865);
        double r22867 = log(r22866);
        double r22868 = exp(r22843);
        double r22869 = cbrt(r22868);
        double r22870 = log(r22869);
        double r22871 = r22867 - r22870;
        double r22872 = r22864 + r22871;
        double r22873 = r22851 ? r22859 : r22872;
        double r22874 = r22849 ? r22837 : r22873;
        double r22875 = r22839 ? r22847 : r22874;
        double r22876 = r22822 ? r22837 : r22875;
        return r22876;
}

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 r22877, r22878, r22879, r22880, r22881, r22882, r22883, r22884;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init(r22877);
        mpfr_init_set_str(r22878, "1", 10, MPFR_RNDN);
        mpfr_init(r22879);
        mpfr_init(r22880);
        mpfr_init(r22881);
        mpfr_init(r22882);
        mpfr_init(r22883);
        mpfr_init(r22884);
}

double f_im(double x, double n) {
        mpfr_set_d(r22877, x, MPFR_RNDN);
        ;
        mpfr_add(r22879, r22877, r22878, MPFR_RNDN);
        mpfr_set_d(r22880, n, MPFR_RNDN);
        mpfr_div(r22881, r22878, r22880, MPFR_RNDN);
        mpfr_pow(r22882, r22879, r22881, MPFR_RNDN);
        mpfr_pow(r22883, r22877, r22881, MPFR_RNDN);
        mpfr_sub(r22884, r22882, r22883, MPFR_RNDN);
        return mpfr_get_d(r22884, MPFR_RNDN);
}

static mpfr_t 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, r22935, r22936, r22937, r22938, r22939, r22940, r22941;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r22885);
        mpfr_init_set_str(r22886, "4.0804696887244732e-171", 10, MPFR_RNDN);
        mpfr_init(r22887);
        mpfr_init_set_str(r22888, "1", 10, MPFR_RNDN);
        mpfr_init(r22889);
        mpfr_init(r22890);
        mpfr_init(r22891);
        mpfr_init(r22892);
        mpfr_init(r22893);
        mpfr_init(r22894);
        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_set_str(r22903, "2.445249583047896e-146", 10, MPFR_RNDN);
        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(r22912);
        mpfr_init_set_str(r22913, "0.7791569556313969", 10, MPFR_RNDN);
        mpfr_init(r22914);
        mpfr_init_set_str(r22915, "1.6865317045697496e+118", 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(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);
        mpfr_init(r22937);
        mpfr_init(r22938);
        mpfr_init(r22939);
        mpfr_init(r22940);
        mpfr_init(r22941);
}

double f_fm(double x, double n) {
        mpfr_set_d(r22885, x, MPFR_RNDN);
        ;
        mpfr_set_si(r22887, mpfr_cmp(r22885, r22886) <= 0, MPFR_RNDN);
        ;
        mpfr_add(r22889, r22888, r22885, MPFR_RNDN);
        mpfr_set_d(r22890, n, MPFR_RNDN);
        mpfr_div(r22891, r22888, r22890, MPFR_RNDN);
        mpfr_pow(r22892, r22889, r22891, MPFR_RNDN);
        mpfr_sub(r22893, r22892, r22888, MPFR_RNDN);
        mpfr_log(r22894, r22885, MPFR_RNDN);
        ;
        mpfr_div(r22896, r22895, r22890, MPFR_RNDN);
        mpfr_mul(r22897, r22894, r22896, MPFR_RNDN);
        mpfr_div(r22898, r22890, r22894, MPFR_RNDN);
        mpfr_div(r22899, r22897, r22898, MPFR_RNDN);
        mpfr_sub(r22900, r22893, r22899, MPFR_RNDN);
        mpfr_div(r22901, r22894, r22890, MPFR_RNDN);
        mpfr_sub(r22902, r22900, r22901, MPFR_RNDN);
        ;
        mpfr_set_si(r22904, mpfr_cmp(r22885, r22903) <= 0, MPFR_RNDN);
        mpfr_add(r22905, r22885, r22888, MPFR_RNDN);
        mpfr_pow(r22906, r22905, r22891, MPFR_RNDN);
        mpfr_mul(r22907, r22906, r22906, MPFR_RNDN);
        mpfr_pow(r22908, r22885, r22891, MPFR_RNDN);
        mpfr_mul(r22909, r22908, r22908, MPFR_RNDN);
        mpfr_sub(r22910, r22907, r22909, MPFR_RNDN);
        mpfr_add(r22911, r22906, r22908, MPFR_RNDN);
        mpfr_div(r22912, r22910, r22911, MPFR_RNDN);
        ;
        mpfr_set_si(r22914, mpfr_cmp(r22885, r22913) <= 0, MPFR_RNDN);
        ;
        mpfr_set_si(r22916, mpfr_cmp(r22885, r22915) <= 0, MPFR_RNDN);
        mpfr_div(r22917, r22891, r22885, MPFR_RNDN);
        mpfr_mul(r22918, r22885, r22885, MPFR_RNDN);
        mpfr_div(r22919, r22896, r22918, MPFR_RNDN);
        mpfr_sub(r22920, r22917, r22919, MPFR_RNDN);
        mpfr_mul(r22921, r22890, r22885, MPFR_RNDN);
        mpfr_mul(r22922, r22921, r22890, MPFR_RNDN);
        mpfr_div(r22923, r22894, r22922, MPFR_RNDN);
        mpfr_add(r22924, r22920, r22923, MPFR_RNDN);
        mpfr_sub(r22925, r22892, r22908, MPFR_RNDN);
        mpfr_exp(r22926, r22925, MPFR_RNDN);
        mpfr_cbrt(r22927, r22926, MPFR_RNDN);
        mpfr_mul(r22928, r22927, r22927, MPFR_RNDN);
        mpfr_log(r22929, r22928, MPFR_RNDN);
        mpfr_exp(r22930, r22892, MPFR_RNDN);
        mpfr_cbrt(r22931, r22930, MPFR_RNDN);
        mpfr_log(r22932, r22931, MPFR_RNDN);
        mpfr_exp(r22933, r22908, MPFR_RNDN);
        mpfr_cbrt(r22934, r22933, MPFR_RNDN);
        mpfr_log(r22935, r22934, MPFR_RNDN);
        mpfr_sub(r22936, r22932, r22935, MPFR_RNDN);
        mpfr_add(r22937, r22929, r22936, MPFR_RNDN);
        if (mpfr_get_si(r22916, MPFR_RNDN)) { mpfr_set(r22938, r22924, MPFR_RNDN); } else { mpfr_set(r22938, r22937, MPFR_RNDN); };
        if (mpfr_get_si(r22914, MPFR_RNDN)) { mpfr_set(r22939, r22902, MPFR_RNDN); } else { mpfr_set(r22939, r22938, MPFR_RNDN); };
        if (mpfr_get_si(r22904, MPFR_RNDN)) { mpfr_set(r22940, r22912, MPFR_RNDN); } else { mpfr_set(r22940, r22939, MPFR_RNDN); };
        if (mpfr_get_si(r22887, MPFR_RNDN)) { mpfr_set(r22941, r22902, MPFR_RNDN); } else { mpfr_set(r22941, r22940, MPFR_RNDN); };
        return mpfr_get_d(r22941, MPFR_RNDN);
}

static mpfr_t 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, r22986, r22987, r22988, r22989, r22990, r22991, r22992, r22993, r22994, r22995, r22996, r22997, r22998;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r22942);
        mpfr_init_set_str(r22943, "4.0804696887244732e-171", 10, MPFR_RNDN);
        mpfr_init(r22944);
        mpfr_init_set_str(r22945, "1", 10, MPFR_RNDN);
        mpfr_init(r22946);
        mpfr_init(r22947);
        mpfr_init(r22948);
        mpfr_init(r22949);
        mpfr_init(r22950);
        mpfr_init(r22951);
        mpfr_init_set_str(r22952, "1/2", 10, MPFR_RNDN);
        mpfr_init(r22953);
        mpfr_init(r22954);
        mpfr_init(r22955);
        mpfr_init(r22956);
        mpfr_init(r22957);
        mpfr_init(r22958);
        mpfr_init(r22959);
        mpfr_init_set_str(r22960, "2.445249583047896e-146", 10, MPFR_RNDN);
        mpfr_init(r22961);
        mpfr_init(r22962);
        mpfr_init(r22963);
        mpfr_init(r22964);
        mpfr_init(r22965);
        mpfr_init(r22966);
        mpfr_init(r22967);
        mpfr_init(r22968);
        mpfr_init(r22969);
        mpfr_init_set_str(r22970, "0.7791569556313969", 10, MPFR_RNDN);
        mpfr_init(r22971);
        mpfr_init_set_str(r22972, "1.6865317045697496e+118", 10, MPFR_RNDN);
        mpfr_init(r22973);
        mpfr_init(r22974);
        mpfr_init(r22975);
        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);
        mpfr_init(r22986);
        mpfr_init(r22987);
        mpfr_init(r22988);
        mpfr_init(r22989);
        mpfr_init(r22990);
        mpfr_init(r22991);
        mpfr_init(r22992);
        mpfr_init(r22993);
        mpfr_init(r22994);
        mpfr_init(r22995);
        mpfr_init(r22996);
        mpfr_init(r22997);
        mpfr_init(r22998);
}

double f_dm(double x, double n) {
        mpfr_set_d(r22942, x, MPFR_RNDN);
        ;
        mpfr_set_si(r22944, mpfr_cmp(r22942, r22943) <= 0, MPFR_RNDN);
        ;
        mpfr_add(r22946, r22945, r22942, MPFR_RNDN);
        mpfr_set_d(r22947, n, MPFR_RNDN);
        mpfr_div(r22948, r22945, r22947, MPFR_RNDN);
        mpfr_pow(r22949, r22946, r22948, MPFR_RNDN);
        mpfr_sub(r22950, r22949, r22945, MPFR_RNDN);
        mpfr_log(r22951, r22942, MPFR_RNDN);
        ;
        mpfr_div(r22953, r22952, r22947, MPFR_RNDN);
        mpfr_mul(r22954, r22951, r22953, MPFR_RNDN);
        mpfr_div(r22955, r22947, r22951, MPFR_RNDN);
        mpfr_div(r22956, r22954, r22955, MPFR_RNDN);
        mpfr_sub(r22957, r22950, r22956, MPFR_RNDN);
        mpfr_div(r22958, r22951, r22947, MPFR_RNDN);
        mpfr_sub(r22959, r22957, r22958, MPFR_RNDN);
        ;
        mpfr_set_si(r22961, mpfr_cmp(r22942, r22960) <= 0, MPFR_RNDN);
        mpfr_add(r22962, r22942, r22945, MPFR_RNDN);
        mpfr_pow(r22963, r22962, r22948, MPFR_RNDN);
        mpfr_mul(r22964, r22963, r22963, MPFR_RNDN);
        mpfr_pow(r22965, r22942, r22948, MPFR_RNDN);
        mpfr_mul(r22966, r22965, r22965, MPFR_RNDN);
        mpfr_sub(r22967, r22964, r22966, MPFR_RNDN);
        mpfr_add(r22968, r22963, r22965, MPFR_RNDN);
        mpfr_div(r22969, r22967, r22968, MPFR_RNDN);
        ;
        mpfr_set_si(r22971, mpfr_cmp(r22942, r22970) <= 0, MPFR_RNDN);
        ;
        mpfr_set_si(r22973, mpfr_cmp(r22942, r22972) <= 0, MPFR_RNDN);
        mpfr_div(r22974, r22948, r22942, MPFR_RNDN);
        mpfr_mul(r22975, r22942, r22942, MPFR_RNDN);
        mpfr_div(r22976, r22953, r22975, MPFR_RNDN);
        mpfr_sub(r22977, r22974, r22976, MPFR_RNDN);
        mpfr_mul(r22978, r22947, r22942, MPFR_RNDN);
        mpfr_mul(r22979, r22978, r22947, MPFR_RNDN);
        mpfr_div(r22980, r22951, r22979, MPFR_RNDN);
        mpfr_add(r22981, r22977, r22980, MPFR_RNDN);
        mpfr_sub(r22982, r22949, r22965, MPFR_RNDN);
        mpfr_exp(r22983, r22982, MPFR_RNDN);
        mpfr_cbrt(r22984, r22983, MPFR_RNDN);
        mpfr_mul(r22985, r22984, r22984, MPFR_RNDN);
        mpfr_log(r22986, r22985, MPFR_RNDN);
        mpfr_exp(r22987, r22949, MPFR_RNDN);
        mpfr_cbrt(r22988, r22987, MPFR_RNDN);
        mpfr_log(r22989, r22988, MPFR_RNDN);
        mpfr_exp(r22990, r22965, MPFR_RNDN);
        mpfr_cbrt(r22991, r22990, MPFR_RNDN);
        mpfr_log(r22992, r22991, MPFR_RNDN);
        mpfr_sub(r22993, r22989, r22992, MPFR_RNDN);
        mpfr_add(r22994, r22986, r22993, MPFR_RNDN);
        if (mpfr_get_si(r22973, MPFR_RNDN)) { mpfr_set(r22995, r22981, MPFR_RNDN); } else { mpfr_set(r22995, r22994, MPFR_RNDN); };
        if (mpfr_get_si(r22971, MPFR_RNDN)) { mpfr_set(r22996, r22959, MPFR_RNDN); } else { mpfr_set(r22996, r22995, MPFR_RNDN); };
        if (mpfr_get_si(r22961, MPFR_RNDN)) { mpfr_set(r22997, r22969, MPFR_RNDN); } else { mpfr_set(r22997, r22996, MPFR_RNDN); };
        if (mpfr_get_si(r22944, MPFR_RNDN)) { mpfr_set(r22998, r22959, MPFR_RNDN); } else { mpfr_set(r22998, r22997, MPFR_RNDN); };
        return mpfr_get_d(r22998, MPFR_RNDN);
}