#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 r25823 = x;
        float r25824 = 1;
        float r25825 = r25823 + r25824;
        float r25826 = n;
        float r25827 = r25824 / r25826;
        float r25828 = pow(r25825, r25827);
        float r25829 = pow(r25823, r25827);
        float r25830 = r25828 - r25829;
        return r25830;
}

double f_id(double x, double n) {
        double r25831 = x;
        double r25832 = 1;
        double r25833 = r25831 + r25832;
        double r25834 = n;
        double r25835 = r25832 / r25834;
        double r25836 = pow(r25833, r25835);
        double r25837 = pow(r25831, r25835);
        double r25838 = r25836 - r25837;
        return r25838;
}


double f_of(float x, float n) {
        float r25839 = x;
        float r25840 = 0.9959105341518036;
        bool r25841 = r25839 <= r25840;
        float r25842 = 1;
        float r25843 = r25842 + r25839;
        float r25844 = n;
        float r25845 = r25842 / r25844;
        float r25846 = pow(r25843, r25845);
        float r25847 = r25846 - r25842;
        float r25848 = log(r25839);
        float r25849 = 1/2;
        float r25850 = r25849 / r25844;
        float r25851 = r25848 * r25850;
        float r25852 = r25844 / r25848;
        float r25853 = r25851 / r25852;
        float r25854 = r25847 - r25853;
        float r25855 = r25848 / r25844;
        float r25856 = r25854 - r25855;
        float r25857 = 1.461949344627711e+137;
        bool r25858 = r25839 <= r25857;
        float r25859 = r25839 + r25842;
        float r25860 = pow(r25859, r25845);
        float r25861 = pow(r25839, r25845);
        float r25862 = cbrt(r25861);
        float r25863 = r25862 * r25862;
        float r25864 = cbrt(r25862);
        float r25865 = r25864 * r25864;
        float r25866 = r25865 * r25864;
        float r25867 = r25863 * r25866;
        float r25868 = r25860 - r25867;
        float r25869 = 1.4268505780422436e+221;
        bool r25870 = r25839 <= r25869;
        float r25871 = r25845 / r25839;
        float r25872 = r25839 * r25839;
        float r25873 = r25850 / r25872;
        float r25874 = r25871 - r25873;
        float r25875 = r25844 * r25839;
        float r25876 = r25875 * r25844;
        float r25877 = r25848 / r25876;
        float r25878 = r25874 + r25877;
        float r25879 = exp(r25861);
        float r25880 = log(r25879);
        float r25881 = r25860 - r25880;
        float r25882 = r25870 ? r25878 : r25881;
        float r25883 = r25858 ? r25868 : r25882;
        float r25884 = r25841 ? r25856 : r25883;
        return r25884;
}

double f_od(double x, double n) {
        double r25885 = x;
        double r25886 = 0.9959105341518036;
        bool r25887 = r25885 <= r25886;
        double r25888 = 1;
        double r25889 = r25888 + r25885;
        double r25890 = n;
        double r25891 = r25888 / r25890;
        double r25892 = pow(r25889, r25891);
        double r25893 = r25892 - r25888;
        double r25894 = log(r25885);
        double r25895 = 1/2;
        double r25896 = r25895 / r25890;
        double r25897 = r25894 * r25896;
        double r25898 = r25890 / r25894;
        double r25899 = r25897 / r25898;
        double r25900 = r25893 - r25899;
        double r25901 = r25894 / r25890;
        double r25902 = r25900 - r25901;
        double r25903 = 1.461949344627711e+137;
        bool r25904 = r25885 <= r25903;
        double r25905 = r25885 + r25888;
        double r25906 = pow(r25905, r25891);
        double r25907 = pow(r25885, r25891);
        double r25908 = cbrt(r25907);
        double r25909 = r25908 * r25908;
        double r25910 = cbrt(r25908);
        double r25911 = r25910 * r25910;
        double r25912 = r25911 * r25910;
        double r25913 = r25909 * r25912;
        double r25914 = r25906 - r25913;
        double r25915 = 1.4268505780422436e+221;
        bool r25916 = r25885 <= r25915;
        double r25917 = r25891 / r25885;
        double r25918 = r25885 * r25885;
        double r25919 = r25896 / r25918;
        double r25920 = r25917 - r25919;
        double r25921 = r25890 * r25885;
        double r25922 = r25921 * r25890;
        double r25923 = r25894 / r25922;
        double r25924 = r25920 + r25923;
        double r25925 = exp(r25907);
        double r25926 = log(r25925);
        double r25927 = r25906 - r25926;
        double r25928 = r25916 ? r25924 : r25927;
        double r25929 = r25904 ? r25914 : r25928;
        double r25930 = r25887 ? r25902 : r25929;
        return r25930;
}

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 r25931, r25932, r25933, r25934, r25935, r25936, r25937, r25938;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init(r25931);
        mpfr_init_set_str(r25932, "1", 10, MPFR_RNDN);
        mpfr_init(r25933);
        mpfr_init(r25934);
        mpfr_init(r25935);
        mpfr_init(r25936);
        mpfr_init(r25937);
        mpfr_init(r25938);
}

double f_im(double x, double n) {
        mpfr_set_d(r25931, x, MPFR_RNDN);
        ;
        mpfr_add(r25933, r25931, r25932, MPFR_RNDN);
        mpfr_set_d(r25934, n, MPFR_RNDN);
        mpfr_div(r25935, r25932, r25934, MPFR_RNDN);
        mpfr_pow(r25936, r25933, r25935, MPFR_RNDN);
        mpfr_pow(r25937, r25931, r25935, MPFR_RNDN);
        mpfr_sub(r25938, r25936, r25937, MPFR_RNDN);
        return mpfr_get_d(r25938, MPFR_RNDN);
}

static mpfr_t r25939, r25940, r25941, r25942, r25943, r25944, r25945, r25946, r25947, r25948, r25949, r25950, r25951, r25952, r25953, r25954, r25955, r25956, r25957, r25958, r25959, r25960, r25961, r25962, r25963, r25964, r25965, r25966, r25967, r25968, r25969, r25970, r25971, r25972, r25973, r25974, r25975, r25976, r25977, r25978, r25979, r25980, r25981, r25982, r25983, r25984;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r25939);
        mpfr_init_set_str(r25940, "0.9959105341518036", 10, MPFR_RNDN);
        mpfr_init(r25941);
        mpfr_init_set_str(r25942, "1", 10, MPFR_RNDN);
        mpfr_init(r25943);
        mpfr_init(r25944);
        mpfr_init(r25945);
        mpfr_init(r25946);
        mpfr_init(r25947);
        mpfr_init(r25948);
        mpfr_init_set_str(r25949, "1/2", 10, MPFR_RNDN);
        mpfr_init(r25950);
        mpfr_init(r25951);
        mpfr_init(r25952);
        mpfr_init(r25953);
        mpfr_init(r25954);
        mpfr_init(r25955);
        mpfr_init(r25956);
        mpfr_init_set_str(r25957, "1.461949344627711e+137", 10, MPFR_RNDN);
        mpfr_init(r25958);
        mpfr_init(r25959);
        mpfr_init(r25960);
        mpfr_init(r25961);
        mpfr_init(r25962);
        mpfr_init(r25963);
        mpfr_init(r25964);
        mpfr_init(r25965);
        mpfr_init(r25966);
        mpfr_init(r25967);
        mpfr_init(r25968);
        mpfr_init_set_str(r25969, "1.4268505780422436e+221", 10, MPFR_RNDN);
        mpfr_init(r25970);
        mpfr_init(r25971);
        mpfr_init(r25972);
        mpfr_init(r25973);
        mpfr_init(r25974);
        mpfr_init(r25975);
        mpfr_init(r25976);
        mpfr_init(r25977);
        mpfr_init(r25978);
        mpfr_init(r25979);
        mpfr_init(r25980);
        mpfr_init(r25981);
        mpfr_init(r25982);
        mpfr_init(r25983);
        mpfr_init(r25984);
}

double f_fm(double x, double n) {
        mpfr_set_d(r25939, x, MPFR_RNDN);
        ;
        mpfr_set_si(r25941, mpfr_cmp(r25939, r25940) <= 0, MPFR_RNDN);
        ;
        mpfr_add(r25943, r25942, r25939, MPFR_RNDN);
        mpfr_set_d(r25944, n, MPFR_RNDN);
        mpfr_div(r25945, r25942, r25944, MPFR_RNDN);
        mpfr_pow(r25946, r25943, r25945, MPFR_RNDN);
        mpfr_sub(r25947, r25946, r25942, MPFR_RNDN);
        mpfr_log(r25948, r25939, MPFR_RNDN);
        ;
        mpfr_div(r25950, r25949, r25944, MPFR_RNDN);
        mpfr_mul(r25951, r25948, r25950, MPFR_RNDN);
        mpfr_div(r25952, r25944, r25948, MPFR_RNDN);
        mpfr_div(r25953, r25951, r25952, MPFR_RNDN);
        mpfr_sub(r25954, r25947, r25953, MPFR_RNDN);
        mpfr_div(r25955, r25948, r25944, MPFR_RNDN);
        mpfr_sub(r25956, r25954, r25955, MPFR_RNDN);
        ;
        mpfr_set_si(r25958, mpfr_cmp(r25939, r25957) <= 0, MPFR_RNDN);
        mpfr_add(r25959, r25939, r25942, MPFR_RNDN);
        mpfr_pow(r25960, r25959, r25945, MPFR_RNDN);
        mpfr_pow(r25961, r25939, r25945, MPFR_RNDN);
        mpfr_cbrt(r25962, r25961, MPFR_RNDN);
        mpfr_mul(r25963, r25962, r25962, MPFR_RNDN);
        mpfr_cbrt(r25964, r25962, MPFR_RNDN);
        mpfr_mul(r25965, r25964, r25964, MPFR_RNDN);
        mpfr_mul(r25966, r25965, r25964, MPFR_RNDN);
        mpfr_mul(r25967, r25963, r25966, MPFR_RNDN);
        mpfr_sub(r25968, r25960, r25967, MPFR_RNDN);
        ;
        mpfr_set_si(r25970, mpfr_cmp(r25939, r25969) <= 0, MPFR_RNDN);
        mpfr_div(r25971, r25945, r25939, MPFR_RNDN);
        mpfr_mul(r25972, r25939, r25939, MPFR_RNDN);
        mpfr_div(r25973, r25950, r25972, MPFR_RNDN);
        mpfr_sub(r25974, r25971, r25973, MPFR_RNDN);
        mpfr_mul(r25975, r25944, r25939, MPFR_RNDN);
        mpfr_mul(r25976, r25975, r25944, MPFR_RNDN);
        mpfr_div(r25977, r25948, r25976, MPFR_RNDN);
        mpfr_add(r25978, r25974, r25977, MPFR_RNDN);
        mpfr_exp(r25979, r25961, MPFR_RNDN);
        mpfr_log(r25980, r25979, MPFR_RNDN);
        mpfr_sub(r25981, r25960, r25980, MPFR_RNDN);
        if (mpfr_get_si(r25970, MPFR_RNDN)) { mpfr_set(r25982, r25978, MPFR_RNDN); } else { mpfr_set(r25982, r25981, MPFR_RNDN); };
        if (mpfr_get_si(r25958, MPFR_RNDN)) { mpfr_set(r25983, r25968, MPFR_RNDN); } else { mpfr_set(r25983, r25982, MPFR_RNDN); };
        if (mpfr_get_si(r25941, MPFR_RNDN)) { mpfr_set(r25984, r25956, MPFR_RNDN); } else { mpfr_set(r25984, r25983, MPFR_RNDN); };
        return mpfr_get_d(r25984, MPFR_RNDN);
}

static mpfr_t r25985, r25986, r25987, r25988, r25989, r25990, r25991, r25992, r25993, r25994, r25995, r25996, r25997, r25998, r25999, r26000, r26001, r26002, r26003, r26004, r26005, r26006, r26007, r26008, r26009, r26010, r26011, r26012, r26013, r26014, r26015, r26016, r26017, r26018, r26019, r26020, r26021, r26022, r26023, r26024, r26025, r26026, r26027, r26028, r26029, r26030;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r25985);
        mpfr_init_set_str(r25986, "0.9959105341518036", 10, MPFR_RNDN);
        mpfr_init(r25987);
        mpfr_init_set_str(r25988, "1", 10, MPFR_RNDN);
        mpfr_init(r25989);
        mpfr_init(r25990);
        mpfr_init(r25991);
        mpfr_init(r25992);
        mpfr_init(r25993);
        mpfr_init(r25994);
        mpfr_init_set_str(r25995, "1/2", 10, MPFR_RNDN);
        mpfr_init(r25996);
        mpfr_init(r25997);
        mpfr_init(r25998);
        mpfr_init(r25999);
        mpfr_init(r26000);
        mpfr_init(r26001);
        mpfr_init(r26002);
        mpfr_init_set_str(r26003, "1.461949344627711e+137", 10, MPFR_RNDN);
        mpfr_init(r26004);
        mpfr_init(r26005);
        mpfr_init(r26006);
        mpfr_init(r26007);
        mpfr_init(r26008);
        mpfr_init(r26009);
        mpfr_init(r26010);
        mpfr_init(r26011);
        mpfr_init(r26012);
        mpfr_init(r26013);
        mpfr_init(r26014);
        mpfr_init_set_str(r26015, "1.4268505780422436e+221", 10, MPFR_RNDN);
        mpfr_init(r26016);
        mpfr_init(r26017);
        mpfr_init(r26018);
        mpfr_init(r26019);
        mpfr_init(r26020);
        mpfr_init(r26021);
        mpfr_init(r26022);
        mpfr_init(r26023);
        mpfr_init(r26024);
        mpfr_init(r26025);
        mpfr_init(r26026);
        mpfr_init(r26027);
        mpfr_init(r26028);
        mpfr_init(r26029);
        mpfr_init(r26030);
}

double f_dm(double x, double n) {
        mpfr_set_d(r25985, x, MPFR_RNDN);
        ;
        mpfr_set_si(r25987, mpfr_cmp(r25985, r25986) <= 0, MPFR_RNDN);
        ;
        mpfr_add(r25989, r25988, r25985, MPFR_RNDN);
        mpfr_set_d(r25990, n, MPFR_RNDN);
        mpfr_div(r25991, r25988, r25990, MPFR_RNDN);
        mpfr_pow(r25992, r25989, r25991, MPFR_RNDN);
        mpfr_sub(r25993, r25992, r25988, MPFR_RNDN);
        mpfr_log(r25994, r25985, MPFR_RNDN);
        ;
        mpfr_div(r25996, r25995, r25990, MPFR_RNDN);
        mpfr_mul(r25997, r25994, r25996, MPFR_RNDN);
        mpfr_div(r25998, r25990, r25994, MPFR_RNDN);
        mpfr_div(r25999, r25997, r25998, MPFR_RNDN);
        mpfr_sub(r26000, r25993, r25999, MPFR_RNDN);
        mpfr_div(r26001, r25994, r25990, MPFR_RNDN);
        mpfr_sub(r26002, r26000, r26001, MPFR_RNDN);
        ;
        mpfr_set_si(r26004, mpfr_cmp(r25985, r26003) <= 0, MPFR_RNDN);
        mpfr_add(r26005, r25985, r25988, MPFR_RNDN);
        mpfr_pow(r26006, r26005, r25991, MPFR_RNDN);
        mpfr_pow(r26007, r25985, r25991, MPFR_RNDN);
        mpfr_cbrt(r26008, r26007, MPFR_RNDN);
        mpfr_mul(r26009, r26008, r26008, MPFR_RNDN);
        mpfr_cbrt(r26010, r26008, MPFR_RNDN);
        mpfr_mul(r26011, r26010, r26010, MPFR_RNDN);
        mpfr_mul(r26012, r26011, r26010, MPFR_RNDN);
        mpfr_mul(r26013, r26009, r26012, MPFR_RNDN);
        mpfr_sub(r26014, r26006, r26013, MPFR_RNDN);
        ;
        mpfr_set_si(r26016, mpfr_cmp(r25985, r26015) <= 0, MPFR_RNDN);
        mpfr_div(r26017, r25991, r25985, MPFR_RNDN);
        mpfr_mul(r26018, r25985, r25985, MPFR_RNDN);
        mpfr_div(r26019, r25996, r26018, MPFR_RNDN);
        mpfr_sub(r26020, r26017, r26019, MPFR_RNDN);
        mpfr_mul(r26021, r25990, r25985, MPFR_RNDN);
        mpfr_mul(r26022, r26021, r25990, MPFR_RNDN);
        mpfr_div(r26023, r25994, r26022, MPFR_RNDN);
        mpfr_add(r26024, r26020, r26023, MPFR_RNDN);
        mpfr_exp(r26025, r26007, MPFR_RNDN);
        mpfr_log(r26026, r26025, MPFR_RNDN);
        mpfr_sub(r26027, r26006, r26026, MPFR_RNDN);
        if (mpfr_get_si(r26016, MPFR_RNDN)) { mpfr_set(r26028, r26024, MPFR_RNDN); } else { mpfr_set(r26028, r26027, MPFR_RNDN); };
        if (mpfr_get_si(r26004, MPFR_RNDN)) { mpfr_set(r26029, r26014, MPFR_RNDN); } else { mpfr_set(r26029, r26028, MPFR_RNDN); };
        if (mpfr_get_si(r25987, MPFR_RNDN)) { mpfr_set(r26030, r26002, MPFR_RNDN); } else { mpfr_set(r26030, r26029, MPFR_RNDN); };
        return mpfr_get_d(r26030, MPFR_RNDN);
}

