#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 r22742 = x;
        float r22743 = 1;
        float r22744 = r22742 + r22743;
        float r22745 = n;
        float r22746 = r22743 / r22745;
        float r22747 = pow(r22744, r22746);
        float r22748 = pow(r22742, r22746);
        float r22749 = r22747 - r22748;
        return r22749;
}

double f_id(double x, double n) {
        double r22750 = x;
        double r22751 = 1;
        double r22752 = r22750 + r22751;
        double r22753 = n;
        double r22754 = r22751 / r22753;
        double r22755 = pow(r22752, r22754);
        double r22756 = pow(r22750, r22754);
        double r22757 = r22755 - r22756;
        return r22757;
}


double f_of(float x, float n) {
        float r22758 = x;
        float r22759 = log(r22758);
        float r22760 = r22758 - r22759;
        float r22761 = r22758 * r22758;
        float r22762 = r22761 * r22761;
        float r22763 = r22759 * r22759;
        float r22764 = r22763 * r22763;
        float r22765 = r22761 * r22763;
        float r22766 = r22764 + r22765;
        float r22767 = r22762 + r22766;
        float r22768 = r22760 * r22767;
        float r22769 = n;
        float r22770 = 1/2;
        float r22771 = r22770 / r22769;
        float r22772 = r22771 / r22769;
        float r22773 = 3;
        float r22774 = pow(r22761, r22773);
        float r22775 = pow(r22763, r22773);
        float r22776 = r22774 - r22775;
        float r22777 = r22772 * r22776;
        float r22778 = r22769 * r22777;
        float r22779 = r22768 + r22778;
        float r22780 = r22769 * r22761;
        float r22781 = r22761 + r22763;
        float r22782 = r22780 * r22781;
        float r22783 = r22769 * r22759;
        float r22784 = pow(r22759, r22773);
        float r22785 = r22783 * r22784;
        float r22786 = r22782 + r22785;
        float r22787 = r22779 / r22786;
        float r22788 = -0.0005657820419688625;
        bool r22789 = r22787 <= r22788;
        float r22790 = 1;
        float r22791 = r22790 + r22758;
        float r22792 = r22790 / r22769;
        float r22793 = pow(r22791, r22792);
        float r22794 = pow(r22758, r22792);
        float r22795 = r22793 - r22794;
        float r22796 = exp(r22795);
        float r22797 = log(r22796);
        float r22798 = 3.3882049535259356e-05;
        bool r22799 = r22787 <= r22798;
        float r22800 = r22758 / r22769;
        float r22801 = r22759 / r22769;
        float r22802 = r22800 - r22801;
        float r22803 = r22761 - r22763;
        float r22804 = r22772 * r22803;
        float r22805 = r22802 + r22804;
        float r22806 = r22799 ? r22805 : r22797;
        float r22807 = r22789 ? r22797 : r22806;
        return r22807;
}

double f_od(double x, double n) {
        double r22808 = x;
        double r22809 = log(r22808);
        double r22810 = r22808 - r22809;
        double r22811 = r22808 * r22808;
        double r22812 = r22811 * r22811;
        double r22813 = r22809 * r22809;
        double r22814 = r22813 * r22813;
        double r22815 = r22811 * r22813;
        double r22816 = r22814 + r22815;
        double r22817 = r22812 + r22816;
        double r22818 = r22810 * r22817;
        double r22819 = n;
        double r22820 = 1/2;
        double r22821 = r22820 / r22819;
        double r22822 = r22821 / r22819;
        double r22823 = 3;
        double r22824 = pow(r22811, r22823);
        double r22825 = pow(r22813, r22823);
        double r22826 = r22824 - r22825;
        double r22827 = r22822 * r22826;
        double r22828 = r22819 * r22827;
        double r22829 = r22818 + r22828;
        double r22830 = r22819 * r22811;
        double r22831 = r22811 + r22813;
        double r22832 = r22830 * r22831;
        double r22833 = r22819 * r22809;
        double r22834 = pow(r22809, r22823);
        double r22835 = r22833 * r22834;
        double r22836 = r22832 + r22835;
        double r22837 = r22829 / r22836;
        double r22838 = -0.0005657820419688625;
        bool r22839 = r22837 <= r22838;
        double r22840 = 1;
        double r22841 = r22840 + r22808;
        double r22842 = r22840 / r22819;
        double r22843 = pow(r22841, r22842);
        double r22844 = pow(r22808, r22842);
        double r22845 = r22843 - r22844;
        double r22846 = exp(r22845);
        double r22847 = log(r22846);
        double r22848 = 3.3882049535259356e-05;
        bool r22849 = r22837 <= r22848;
        double r22850 = r22808 / r22819;
        double r22851 = r22809 / r22819;
        double r22852 = r22850 - r22851;
        double r22853 = r22811 - r22813;
        double r22854 = r22822 * r22853;
        double r22855 = r22852 + r22854;
        double r22856 = r22849 ? r22855 : r22847;
        double r22857 = r22839 ? r22847 : r22856;
        return r22857;
}

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 r22858, r22859, r22860, r22861, r22862, r22863, r22864, r22865;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22858);
        mpfr_init_set_str(r22859, "1", 10, MPFR_RNDN);
        mpfr_init(r22860);
        mpfr_init(r22861);
        mpfr_init(r22862);
        mpfr_init(r22863);
        mpfr_init(r22864);
        mpfr_init(r22865);
}

double f_im(double x, double n) {
        mpfr_set_d(r22858, x, MPFR_RNDN);
        ;
        mpfr_add(r22860, r22858, r22859, MPFR_RNDN);
        mpfr_set_d(r22861, n, MPFR_RNDN);
        mpfr_div(r22862, r22859, r22861, MPFR_RNDN);
        mpfr_pow(r22863, r22860, r22862, MPFR_RNDN);
        mpfr_pow(r22864, r22858, r22862, MPFR_RNDN);
        mpfr_sub(r22865, r22863, 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, r22893, r22894, r22895, r22896, r22897, r22898, r22899, r22900, r22901, r22902, r22903, r22904, r22905, r22906, r22907, r22908, r22909, r22910, r22911, r22912, r22913, r22914, r22915;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r22866);
        mpfr_init(r22867);
        mpfr_init(r22868);
        mpfr_init(r22869);
        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_set_str(r22878, "1/2", 10, MPFR_RNDN);
        mpfr_init(r22879);
        mpfr_init(r22880);
        mpfr_init_set_str(r22881, "3", 10, MPFR_RNDN);
        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);
        mpfr_init(r22893);
        mpfr_init(r22894);
        mpfr_init(r22895);
        mpfr_init_set_str(r22896, "-0.0005657820419688625", 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_set_str(r22906, "3.3882049535259356e-05", 10, MPFR_RNDN);
        mpfr_init(r22907);
        mpfr_init(r22908);
        mpfr_init(r22909);
        mpfr_init(r22910);
        mpfr_init(r22911);
        mpfr_init(r22912);
        mpfr_init(r22913);
        mpfr_init(r22914);
        mpfr_init(r22915);
}

double f_fm(double x, double n) {
        mpfr_set_d(r22866, x, MPFR_RNDN);
        mpfr_log(r22867, r22866, MPFR_RNDN);
        mpfr_sub(r22868, r22866, r22867, MPFR_RNDN);
        mpfr_mul(r22869, r22866, r22866, MPFR_RNDN);
        mpfr_mul(r22870, r22869, r22869, MPFR_RNDN);
        mpfr_mul(r22871, r22867, r22867, MPFR_RNDN);
        mpfr_mul(r22872, r22871, r22871, MPFR_RNDN);
        mpfr_mul(r22873, r22869, r22871, MPFR_RNDN);
        mpfr_add(r22874, r22872, r22873, MPFR_RNDN);
        mpfr_add(r22875, r22870, r22874, MPFR_RNDN);
        mpfr_mul(r22876, r22868, r22875, MPFR_RNDN);
        mpfr_set_d(r22877, n, MPFR_RNDN);
        ;
        mpfr_div(r22879, r22878, r22877, MPFR_RNDN);
        mpfr_div(r22880, r22879, r22877, MPFR_RNDN);
        ;
        mpfr_pow(r22882, r22869, r22881, MPFR_RNDN);
        mpfr_pow(r22883, r22871, r22881, MPFR_RNDN);
        mpfr_sub(r22884, r22882, r22883, MPFR_RNDN);
        mpfr_mul(r22885, r22880, r22884, MPFR_RNDN);
        mpfr_mul(r22886, r22877, r22885, MPFR_RNDN);
        mpfr_add(r22887, r22876, r22886, MPFR_RNDN);
        mpfr_mul(r22888, r22877, r22869, MPFR_RNDN);
        mpfr_add(r22889, r22869, r22871, MPFR_RNDN);
        mpfr_mul(r22890, r22888, r22889, MPFR_RNDN);
        mpfr_mul(r22891, r22877, r22867, MPFR_RNDN);
        mpfr_pow(r22892, r22867, r22881, MPFR_RNDN);
        mpfr_mul(r22893, r22891, r22892, MPFR_RNDN);
        mpfr_add(r22894, r22890, r22893, MPFR_RNDN);
        mpfr_div(r22895, r22887, r22894, MPFR_RNDN);
        ;
        mpfr_set_si(r22897, mpfr_cmp(r22895, r22896) <= 0, MPFR_RNDN);
        ;
        mpfr_add(r22899, r22898, r22866, MPFR_RNDN);
        mpfr_div(r22900, r22898, r22877, MPFR_RNDN);
        mpfr_pow(r22901, r22899, r22900, MPFR_RNDN);
        mpfr_pow(r22902, r22866, r22900, MPFR_RNDN);
        mpfr_sub(r22903, r22901, r22902, MPFR_RNDN);
        mpfr_exp(r22904, r22903, MPFR_RNDN);
        mpfr_log(r22905, r22904, MPFR_RNDN);
        ;
        mpfr_set_si(r22907, mpfr_cmp(r22895, r22906) <= 0, MPFR_RNDN);
        mpfr_div(r22908, r22866, r22877, MPFR_RNDN);
        mpfr_div(r22909, r22867, r22877, MPFR_RNDN);
        mpfr_sub(r22910, r22908, r22909, MPFR_RNDN);
        mpfr_sub(r22911, r22869, r22871, MPFR_RNDN);
        mpfr_mul(r22912, r22880, r22911, MPFR_RNDN);
        mpfr_add(r22913, r22910, r22912, MPFR_RNDN);
        if (mpfr_get_si(r22907, MPFR_RNDN)) { mpfr_set(r22914, r22913, MPFR_RNDN); } else { mpfr_set(r22914, r22905, MPFR_RNDN); };
        if (mpfr_get_si(r22897, MPFR_RNDN)) { mpfr_set(r22915, r22905, MPFR_RNDN); } else { mpfr_set(r22915, r22914, MPFR_RNDN); };
        return mpfr_get_d(r22915, MPFR_RNDN);
}

static mpfr_t 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, r22943, r22944, r22945, r22946, r22947, r22948, r22949, r22950, r22951, r22952, r22953, r22954, r22955, r22956, r22957, r22958, r22959, r22960, r22961, r22962, r22963, r22964, r22965;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        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_set_str(r22928, "1/2", 10, MPFR_RNDN);
        mpfr_init(r22929);
        mpfr_init(r22930);
        mpfr_init_set_str(r22931, "3", 10, MPFR_RNDN);
        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);
        mpfr_init(r22942);
        mpfr_init(r22943);
        mpfr_init(r22944);
        mpfr_init(r22945);
        mpfr_init_set_str(r22946, "-0.0005657820419688625", 10, MPFR_RNDN);
        mpfr_init(r22947);
        mpfr_init_set_str(r22948, "1", 10, MPFR_RNDN);
        mpfr_init(r22949);
        mpfr_init(r22950);
        mpfr_init(r22951);
        mpfr_init(r22952);
        mpfr_init(r22953);
        mpfr_init(r22954);
        mpfr_init(r22955);
        mpfr_init_set_str(r22956, "3.3882049535259356e-05", 10, MPFR_RNDN);
        mpfr_init(r22957);
        mpfr_init(r22958);
        mpfr_init(r22959);
        mpfr_init(r22960);
        mpfr_init(r22961);
        mpfr_init(r22962);
        mpfr_init(r22963);
        mpfr_init(r22964);
        mpfr_init(r22965);
}

double f_dm(double x, double n) {
        mpfr_set_d(r22916, x, MPFR_RNDN);
        mpfr_log(r22917, r22916, MPFR_RNDN);
        mpfr_sub(r22918, r22916, r22917, MPFR_RNDN);
        mpfr_mul(r22919, r22916, r22916, MPFR_RNDN);
        mpfr_mul(r22920, r22919, r22919, MPFR_RNDN);
        mpfr_mul(r22921, r22917, r22917, MPFR_RNDN);
        mpfr_mul(r22922, r22921, r22921, MPFR_RNDN);
        mpfr_mul(r22923, r22919, r22921, MPFR_RNDN);
        mpfr_add(r22924, r22922, r22923, MPFR_RNDN);
        mpfr_add(r22925, r22920, r22924, MPFR_RNDN);
        mpfr_mul(r22926, r22918, r22925, MPFR_RNDN);
        mpfr_set_d(r22927, n, MPFR_RNDN);
        ;
        mpfr_div(r22929, r22928, r22927, MPFR_RNDN);
        mpfr_div(r22930, r22929, r22927, MPFR_RNDN);
        ;
        mpfr_pow(r22932, r22919, r22931, MPFR_RNDN);
        mpfr_pow(r22933, r22921, r22931, MPFR_RNDN);
        mpfr_sub(r22934, r22932, r22933, MPFR_RNDN);
        mpfr_mul(r22935, r22930, r22934, MPFR_RNDN);
        mpfr_mul(r22936, r22927, r22935, MPFR_RNDN);
        mpfr_add(r22937, r22926, r22936, MPFR_RNDN);
        mpfr_mul(r22938, r22927, r22919, MPFR_RNDN);
        mpfr_add(r22939, r22919, r22921, MPFR_RNDN);
        mpfr_mul(r22940, r22938, r22939, MPFR_RNDN);
        mpfr_mul(r22941, r22927, r22917, MPFR_RNDN);
        mpfr_pow(r22942, r22917, r22931, MPFR_RNDN);
        mpfr_mul(r22943, r22941, r22942, MPFR_RNDN);
        mpfr_add(r22944, r22940, r22943, MPFR_RNDN);
        mpfr_div(r22945, r22937, r22944, MPFR_RNDN);
        ;
        mpfr_set_si(r22947, mpfr_cmp(r22945, r22946) <= 0, MPFR_RNDN);
        ;
        mpfr_add(r22949, r22948, r22916, MPFR_RNDN);
        mpfr_div(r22950, r22948, r22927, MPFR_RNDN);
        mpfr_pow(r22951, r22949, r22950, MPFR_RNDN);
        mpfr_pow(r22952, r22916, r22950, MPFR_RNDN);
        mpfr_sub(r22953, r22951, r22952, MPFR_RNDN);
        mpfr_exp(r22954, r22953, MPFR_RNDN);
        mpfr_log(r22955, r22954, MPFR_RNDN);
        ;
        mpfr_set_si(r22957, mpfr_cmp(r22945, r22956) <= 0, MPFR_RNDN);
        mpfr_div(r22958, r22916, r22927, MPFR_RNDN);
        mpfr_div(r22959, r22917, r22927, MPFR_RNDN);
        mpfr_sub(r22960, r22958, r22959, MPFR_RNDN);
        mpfr_sub(r22961, r22919, r22921, MPFR_RNDN);
        mpfr_mul(r22962, r22930, r22961, MPFR_RNDN);
        mpfr_add(r22963, r22960, r22962, MPFR_RNDN);
        if (mpfr_get_si(r22957, MPFR_RNDN)) { mpfr_set(r22964, r22963, MPFR_RNDN); } else { mpfr_set(r22964, r22955, MPFR_RNDN); };
        if (mpfr_get_si(r22947, MPFR_RNDN)) { mpfr_set(r22965, r22955, MPFR_RNDN); } else { mpfr_set(r22965, r22964, MPFR_RNDN); };
        return mpfr_get_d(r22965, MPFR_RNDN);
}