#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 r22794 = x;
        float r22795 = 1;
        float r22796 = r22794 + r22795;
        float r22797 = n;
        float r22798 = r22795 / r22797;
        float r22799 = pow(r22796, r22798);
        float r22800 = pow(r22794, r22798);
        float r22801 = r22799 - r22800;
        return r22801;
}

double f_id(double x, double n) {
        double r22802 = x;
        double r22803 = 1;
        double r22804 = r22802 + r22803;
        double r22805 = n;
        double r22806 = r22803 / r22805;
        double r22807 = pow(r22804, r22806);
        double r22808 = pow(r22802, r22806);
        double r22809 = r22807 - r22808;
        return r22809;
}


double f_of(float x, float n) {
        float r22810 = x;
        float r22811 = 0.9373891468296641;
        bool r22812 = r22810 <= r22811;
        float r22813 = 1;
        float r22814 = r22813 + r22810;
        float r22815 = n;
        float r22816 = r22813 / r22815;
        float r22817 = pow(r22814, r22816);
        float r22818 = r22817 - r22813;
        float r22819 = log(r22810);
        float r22820 = 1/2;
        float r22821 = r22820 / r22815;
        float r22822 = r22819 * r22821;
        float r22823 = r22815 / r22819;
        float r22824 = r22822 / r22823;
        float r22825 = r22818 - r22824;
        float r22826 = r22819 / r22815;
        float r22827 = r22825 - r22826;
        float r22828 = 8.208782670568959e+108;
        bool r22829 = r22810 <= r22828;
        float r22830 = r22813 / r22810;
        float r22831 = r22816 * r22830;
        float r22832 = r22810 * r22810;
        float r22833 = r22821 / r22832;
        float r22834 = r22831 - r22833;
        float r22835 = r22815 * r22810;
        float r22836 = r22835 * r22815;
        float r22837 = r22819 / r22836;
        float r22838 = r22834 + r22837;
        float r22839 = 1.7072163790765035e+144;
        bool r22840 = r22810 <= r22839;
        float r22841 = r22810 + r22813;
        float r22842 = pow(r22841, r22816);
        float r22843 = sqrt(r22842);
        float r22844 = r22843 * r22843;
        float r22845 = pow(r22810, r22816);
        float r22846 = r22844 - r22845;
        float r22847 = 7.947024772604389e+187;
        bool r22848 = r22810 <= r22847;
        float r22849 = r22848 ? r22838 : r22846;
        float r22850 = r22840 ? r22846 : r22849;
        float r22851 = r22829 ? r22838 : r22850;
        float r22852 = r22812 ? r22827 : r22851;
        return r22852;
}

double f_od(double x, double n) {
        double r22853 = x;
        double r22854 = 0.9373891468296641;
        bool r22855 = r22853 <= r22854;
        double r22856 = 1;
        double r22857 = r22856 + r22853;
        double r22858 = n;
        double r22859 = r22856 / r22858;
        double r22860 = pow(r22857, r22859);
        double r22861 = r22860 - r22856;
        double r22862 = log(r22853);
        double r22863 = 1/2;
        double r22864 = r22863 / r22858;
        double r22865 = r22862 * r22864;
        double r22866 = r22858 / r22862;
        double r22867 = r22865 / r22866;
        double r22868 = r22861 - r22867;
        double r22869 = r22862 / r22858;
        double r22870 = r22868 - r22869;
        double r22871 = 8.208782670568959e+108;
        bool r22872 = r22853 <= r22871;
        double r22873 = r22856 / r22853;
        double r22874 = r22859 * r22873;
        double r22875 = r22853 * r22853;
        double r22876 = r22864 / r22875;
        double r22877 = r22874 - r22876;
        double r22878 = r22858 * r22853;
        double r22879 = r22878 * r22858;
        double r22880 = r22862 / r22879;
        double r22881 = r22877 + r22880;
        double r22882 = 1.7072163790765035e+144;
        bool r22883 = r22853 <= r22882;
        double r22884 = r22853 + r22856;
        double r22885 = pow(r22884, r22859);
        double r22886 = sqrt(r22885);
        double r22887 = r22886 * r22886;
        double r22888 = pow(r22853, r22859);
        double r22889 = r22887 - r22888;
        double r22890 = 7.947024772604389e+187;
        bool r22891 = r22853 <= r22890;
        double r22892 = r22891 ? r22881 : r22889;
        double r22893 = r22883 ? r22889 : r22892;
        double r22894 = r22872 ? r22881 : r22893;
        double r22895 = r22855 ? r22870 : r22894;
        return r22895;
}

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 r22896, r22897, r22898, r22899, r22900, r22901, r22902, r22903;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init(r22896);
        mpfr_init_set_str(r22897, "1", 10, MPFR_RNDN);
        mpfr_init(r22898);
        mpfr_init(r22899);
        mpfr_init(r22900);
        mpfr_init(r22901);
        mpfr_init(r22902);
        mpfr_init(r22903);
}

double f_im(double x, double n) {
        mpfr_set_d(r22896, x, MPFR_RNDN);
        ;
        mpfr_add(r22898, r22896, r22897, MPFR_RNDN);
        mpfr_set_d(r22899, n, MPFR_RNDN);
        mpfr_div(r22900, r22897, r22899, MPFR_RNDN);
        mpfr_pow(r22901, r22898, r22900, MPFR_RNDN);
        mpfr_pow(r22902, r22896, r22900, MPFR_RNDN);
        mpfr_sub(r22903, r22901, r22902, MPFR_RNDN);
        return mpfr_get_d(r22903, MPFR_RNDN);
}

static mpfr_t 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, r22942, r22943, r22944, r22945, r22946;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r22904);
        mpfr_init_set_str(r22905, "0.9373891468296641", 10, MPFR_RNDN);
        mpfr_init(r22906);
        mpfr_init_set_str(r22907, "1", 10, MPFR_RNDN);
        mpfr_init(r22908);
        mpfr_init(r22909);
        mpfr_init(r22910);
        mpfr_init(r22911);
        mpfr_init(r22912);
        mpfr_init(r22913);
        mpfr_init_set_str(r22914, "1/2", 10, MPFR_RNDN);
        mpfr_init(r22915);
        mpfr_init(r22916);
        mpfr_init(r22917);
        mpfr_init(r22918);
        mpfr_init(r22919);
        mpfr_init(r22920);
        mpfr_init(r22921);
        mpfr_init_set_str(r22922, "8.208782670568959e+108", 10, MPFR_RNDN);
        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_set_str(r22933, "1.7072163790765035e+144", 10, MPFR_RNDN);
        mpfr_init(r22934);
        mpfr_init(r22935);
        mpfr_init(r22936);
        mpfr_init(r22937);
        mpfr_init(r22938);
        mpfr_init(r22939);
        mpfr_init(r22940);
        mpfr_init_set_str(r22941, "7.947024772604389e+187", 10, MPFR_RNDN);
        mpfr_init(r22942);
        mpfr_init(r22943);
        mpfr_init(r22944);
        mpfr_init(r22945);
        mpfr_init(r22946);
}

double f_fm(double x, double n) {
        mpfr_set_d(r22904, x, MPFR_RNDN);
        ;
        mpfr_set_si(r22906, mpfr_cmp(r22904, r22905) <= 0, MPFR_RNDN);
        ;
        mpfr_add(r22908, r22907, r22904, MPFR_RNDN);
        mpfr_set_d(r22909, n, MPFR_RNDN);
        mpfr_div(r22910, r22907, r22909, MPFR_RNDN);
        mpfr_pow(r22911, r22908, r22910, MPFR_RNDN);
        mpfr_sub(r22912, r22911, r22907, MPFR_RNDN);
        mpfr_log(r22913, r22904, MPFR_RNDN);
        ;
        mpfr_div(r22915, r22914, r22909, MPFR_RNDN);
        mpfr_mul(r22916, r22913, r22915, MPFR_RNDN);
        mpfr_div(r22917, r22909, r22913, MPFR_RNDN);
        mpfr_div(r22918, r22916, r22917, MPFR_RNDN);
        mpfr_sub(r22919, r22912, r22918, MPFR_RNDN);
        mpfr_div(r22920, r22913, r22909, MPFR_RNDN);
        mpfr_sub(r22921, r22919, r22920, MPFR_RNDN);
        ;
        mpfr_set_si(r22923, mpfr_cmp(r22904, r22922) <= 0, MPFR_RNDN);
        mpfr_div(r22924, r22907, r22904, MPFR_RNDN);
        mpfr_mul(r22925, r22910, r22924, MPFR_RNDN);
        mpfr_mul(r22926, r22904, r22904, MPFR_RNDN);
        mpfr_div(r22927, r22915, r22926, MPFR_RNDN);
        mpfr_sub(r22928, r22925, r22927, MPFR_RNDN);
        mpfr_mul(r22929, r22909, r22904, MPFR_RNDN);
        mpfr_mul(r22930, r22929, r22909, MPFR_RNDN);
        mpfr_div(r22931, r22913, r22930, MPFR_RNDN);
        mpfr_add(r22932, r22928, r22931, MPFR_RNDN);
        ;
        mpfr_set_si(r22934, mpfr_cmp(r22904, r22933) <= 0, MPFR_RNDN);
        mpfr_add(r22935, r22904, r22907, MPFR_RNDN);
        mpfr_pow(r22936, r22935, r22910, MPFR_RNDN);
        mpfr_sqrt(r22937, r22936, MPFR_RNDN);
        mpfr_mul(r22938, r22937, r22937, MPFR_RNDN);
        mpfr_pow(r22939, r22904, r22910, MPFR_RNDN);
        mpfr_sub(r22940, r22938, r22939, MPFR_RNDN);
        ;
        mpfr_set_si(r22942, mpfr_cmp(r22904, r22941) <= 0, MPFR_RNDN);
        if (mpfr_get_si(r22942, MPFR_RNDN)) { mpfr_set(r22943, r22932, MPFR_RNDN); } else { mpfr_set(r22943, r22940, MPFR_RNDN); };
        if (mpfr_get_si(r22934, MPFR_RNDN)) { mpfr_set(r22944, r22940, MPFR_RNDN); } else { mpfr_set(r22944, r22943, MPFR_RNDN); };
        if (mpfr_get_si(r22923, MPFR_RNDN)) { mpfr_set(r22945, r22932, MPFR_RNDN); } else { mpfr_set(r22945, r22944, MPFR_RNDN); };
        if (mpfr_get_si(r22906, MPFR_RNDN)) { mpfr_set(r22946, r22921, MPFR_RNDN); } else { mpfr_set(r22946, r22945, MPFR_RNDN); };
        return mpfr_get_d(r22946, MPFR_RNDN);
}

static mpfr_t 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;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r22947);
        mpfr_init_set_str(r22948, "0.9373891468296641", 10, MPFR_RNDN);
        mpfr_init(r22949);
        mpfr_init_set_str(r22950, "1", 10, MPFR_RNDN);
        mpfr_init(r22951);
        mpfr_init(r22952);
        mpfr_init(r22953);
        mpfr_init(r22954);
        mpfr_init(r22955);
        mpfr_init(r22956);
        mpfr_init_set_str(r22957, "1/2", 10, MPFR_RNDN);
        mpfr_init(r22958);
        mpfr_init(r22959);
        mpfr_init(r22960);
        mpfr_init(r22961);
        mpfr_init(r22962);
        mpfr_init(r22963);
        mpfr_init(r22964);
        mpfr_init_set_str(r22965, "8.208782670568959e+108", 10, MPFR_RNDN);
        mpfr_init(r22966);
        mpfr_init(r22967);
        mpfr_init(r22968);
        mpfr_init(r22969);
        mpfr_init(r22970);
        mpfr_init(r22971);
        mpfr_init(r22972);
        mpfr_init(r22973);
        mpfr_init(r22974);
        mpfr_init(r22975);
        mpfr_init_set_str(r22976, "1.7072163790765035e+144", 10, MPFR_RNDN);
        mpfr_init(r22977);
        mpfr_init(r22978);
        mpfr_init(r22979);
        mpfr_init(r22980);
        mpfr_init(r22981);
        mpfr_init(r22982);
        mpfr_init(r22983);
        mpfr_init_set_str(r22984, "7.947024772604389e+187", 10, MPFR_RNDN);
        mpfr_init(r22985);
        mpfr_init(r22986);
        mpfr_init(r22987);
        mpfr_init(r22988);
        mpfr_init(r22989);
}

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

