#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 r18892 = x;
        float r18893 = 1.0f;
        float r18894 = r18892 + r18893;
        float r18895 = n;
        float r18896 = r18893 / r18895;
        float r18897 = pow(r18894, r18896);
        float r18898 = pow(r18892, r18896);
        float r18899 = r18897 - r18898;
        return r18899;
}

double f_id(double x, double n) {
        double r18900 = x;
        double r18901 = 1.0;
        double r18902 = r18900 + r18901;
        double r18903 = n;
        double r18904 = r18901 / r18903;
        double r18905 = pow(r18902, r18904);
        double r18906 = pow(r18900, r18904);
        double r18907 = r18905 - r18906;
        return r18907;
}


double f_of(float x, float n) {
        float r18908 = n;
        float r18909 = -934654479866939.4f;
        bool r18910 = r18908 <= r18909;
        float r18911 = 1.0f;
        float r18912 = x;
        float r18913 = r18912 * r18908;
        float r18914 = r18911 / r18913;
        float r18915 = 0.5f;
        float r18916 = r18915 / r18912;
        float r18917 = r18916 / r18913;
        float r18918 = log(r18912);
        float r18919 = r18918 / r18912;
        float r18920 = r18908 * r18908;
        float r18921 = r18919 / r18920;
        float r18922 = r18917 + r18921;
        float r18923 = r18914 - r18922;
        float r18924 = 1.4682660339097687e+21f;
        bool r18925 = r18908 <= r18924;
        float r18926 = r18912 + r18911;
        float r18927 = r18911 / r18908;
        float r18928 = pow(r18926, r18927);
        float r18929 = pow(r18912, r18927);
        float r18930 = r18928 - r18929;
        float r18931 = cbrt(r18930);
        float r18932 = r18931 * (r18931 * r18931);
        float r18933 = cbrt(r18932);
        float r18934 = r18933 * (r18933 * r18933);
        float r18935 = r18925 ? r18934 : r18923;
        float r18936 = r18910 ? r18923 : r18935;
        return r18936;
}

double f_od(double x, double n) {
        double r18937 = n;
        double r18938 = -934654479866939.4;
        bool r18939 = r18937 <= r18938;
        double r18940 = 1.0;
        double r18941 = x;
        double r18942 = r18941 * r18937;
        double r18943 = r18940 / r18942;
        double r18944 = 0.5;
        double r18945 = r18944 / r18941;
        double r18946 = r18945 / r18942;
        double r18947 = log(r18941);
        double r18948 = r18947 / r18941;
        double r18949 = r18937 * r18937;
        double r18950 = r18948 / r18949;
        double r18951 = r18946 + r18950;
        double r18952 = r18943 - r18951;
        double r18953 = 1.4682660339097687e+21;
        bool r18954 = r18937 <= r18953;
        double r18955 = r18941 + r18940;
        double r18956 = r18940 / r18937;
        double r18957 = pow(r18955, r18956);
        double r18958 = pow(r18941, r18956);
        double r18959 = r18957 - r18958;
        double r18960 = cbrt(r18959);
        double r18961 = r18960 * (r18960 * r18960);
        double r18962 = cbrt(r18961);
        double r18963 = r18962 * (r18962 * r18962);
        double r18964 = r18954 ? r18963 : r18952;
        double r18965 = r18939 ? r18952 : r18964;
        return r18965;
}

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 r18966, r18967, r18968, r18969, r18970, r18971, r18972, r18973;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init(r18966);
        mpfr_init_set_str(r18967, "1", 10, MPFR_RNDN);
        mpfr_init(r18968);
        mpfr_init(r18969);
        mpfr_init(r18970);
        mpfr_init(r18971);
        mpfr_init(r18972);
        mpfr_init(r18973);
}

double f_im(double x, double n) {
        mpfr_set_d(r18966, x, MPFR_RNDN);
        ;
        mpfr_add(r18968, r18966, r18967, MPFR_RNDN);
        mpfr_set_d(r18969, n, MPFR_RNDN);
        mpfr_div(r18970, r18967, r18969, MPFR_RNDN);
        mpfr_pow(r18971, r18968, r18970, MPFR_RNDN);
        mpfr_pow(r18972, r18966, r18970, MPFR_RNDN);
        mpfr_sub(r18973, r18971, r18972, MPFR_RNDN);
        return mpfr_get_d(r18973, MPFR_RNDN);
}

static mpfr_t r18974, r18975, r18976, r18977, r18978, r18979, r18980, r18981, r18982, r18983, r18984, r18985, r18986, r18987, r18988, r18989, r18990, r18991, r18992, r18993, r18994, r18995, r18996, r18997, r18998, r18999, r19000, r19001, r19002;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r18974);
        mpfr_init_set_str(r18975, "-934654479866939.4", 10, MPFR_RNDN);
        mpfr_init(r18976);
        mpfr_init_set_str(r18977, "1", 10, MPFR_RNDN);
        mpfr_init(r18978);
        mpfr_init(r18979);
        mpfr_init(r18980);
        mpfr_init_set_str(r18981, "1/2", 10, MPFR_RNDN);
        mpfr_init(r18982);
        mpfr_init(r18983);
        mpfr_init(r18984);
        mpfr_init(r18985);
        mpfr_init(r18986);
        mpfr_init(r18987);
        mpfr_init(r18988);
        mpfr_init(r18989);
        mpfr_init_set_str(r18990, "1.4682660339097687e+21", 10, MPFR_RNDN);
        mpfr_init(r18991);
        mpfr_init(r18992);
        mpfr_init(r18993);
        mpfr_init(r18994);
        mpfr_init(r18995);
        mpfr_init(r18996);
        mpfr_init(r18997);
        mpfr_init(r18998);
        mpfr_init(r18999);
        mpfr_init(r19000);
        mpfr_init(r19001);
        mpfr_init(r19002);
}

double f_fm(double x, double n) {
        mpfr_set_d(r18974, n, MPFR_RNDN);
        ;
        mpfr_set_si(r18976, mpfr_cmp(r18974, r18975) <= 0, MPFR_RNDN);
        ;
        mpfr_set_d(r18978, x, MPFR_RNDN);
        mpfr_mul(r18979, r18978, r18974, MPFR_RNDN);
        mpfr_div(r18980, r18977, r18979, MPFR_RNDN);
        ;
        mpfr_div(r18982, r18981, r18978, MPFR_RNDN);
        mpfr_div(r18983, r18982, r18979, MPFR_RNDN);
        mpfr_log(r18984, r18978, MPFR_RNDN);
        mpfr_div(r18985, r18984, r18978, MPFR_RNDN);
        mpfr_sqr(r18986, r18974, MPFR_RNDN);
        mpfr_div(r18987, r18985, r18986, MPFR_RNDN);
        mpfr_add(r18988, r18983, r18987, MPFR_RNDN);
        mpfr_sub(r18989, r18980, r18988, MPFR_RNDN);
        ;
        mpfr_set_si(r18991, mpfr_cmp(r18974, r18990) <= 0, MPFR_RNDN);
        mpfr_add(r18992, r18978, r18977, MPFR_RNDN);
        mpfr_div(r18993, r18977, r18974, MPFR_RNDN);
        mpfr_pow(r18994, r18992, r18993, MPFR_RNDN);
        mpfr_pow(r18995, r18978, r18993, MPFR_RNDN);
        mpfr_sub(r18996, r18994, r18995, MPFR_RNDN);
        mpfr_cbrt(r18997, r18996, MPFR_RNDN);
        mpfr_mul(r18998, r18997, r18997, MPFR_RNDN); mpfr_mul(r18998, r18998, r18997, MPFR_RNDN);
        mpfr_cbrt(r18999, r18998, MPFR_RNDN);
        mpfr_mul(r19000, r18999, r18999, MPFR_RNDN); mpfr_mul(r19000, r19000, r18999, MPFR_RNDN);
        if (mpfr_get_si(r18991, MPFR_RNDN)) { mpfr_set(r19001, r19000, MPFR_RNDN); } else { mpfr_set(r19001, r18989, MPFR_RNDN); };
        if (mpfr_get_si(r18976, MPFR_RNDN)) { mpfr_set(r19002, r18989, MPFR_RNDN); } else { mpfr_set(r19002, r19001, MPFR_RNDN); };
        return mpfr_get_d(r19002, MPFR_RNDN);
}

static mpfr_t r19003, r19004, r19005, r19006, r19007, r19008, r19009, r19010, r19011, r19012, r19013, r19014, r19015, r19016, r19017, r19018, r19019, r19020, r19021, r19022, r19023, r19024, r19025, r19026, r19027, r19028, r19029, r19030, r19031;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r19003);
        mpfr_init_set_str(r19004, "-934654479866939.4", 10, MPFR_RNDN);
        mpfr_init(r19005);
        mpfr_init_set_str(r19006, "1", 10, MPFR_RNDN);
        mpfr_init(r19007);
        mpfr_init(r19008);
        mpfr_init(r19009);
        mpfr_init_set_str(r19010, "1/2", 10, MPFR_RNDN);
        mpfr_init(r19011);
        mpfr_init(r19012);
        mpfr_init(r19013);
        mpfr_init(r19014);
        mpfr_init(r19015);
        mpfr_init(r19016);
        mpfr_init(r19017);
        mpfr_init(r19018);
        mpfr_init_set_str(r19019, "1.4682660339097687e+21", 10, MPFR_RNDN);
        mpfr_init(r19020);
        mpfr_init(r19021);
        mpfr_init(r19022);
        mpfr_init(r19023);
        mpfr_init(r19024);
        mpfr_init(r19025);
        mpfr_init(r19026);
        mpfr_init(r19027);
        mpfr_init(r19028);
        mpfr_init(r19029);
        mpfr_init(r19030);
        mpfr_init(r19031);
}

double f_dm(double x, double n) {
        mpfr_set_d(r19003, n, MPFR_RNDN);
        ;
        mpfr_set_si(r19005, mpfr_cmp(r19003, r19004) <= 0, MPFR_RNDN);
        ;
        mpfr_set_d(r19007, x, MPFR_RNDN);
        mpfr_mul(r19008, r19007, r19003, MPFR_RNDN);
        mpfr_div(r19009, r19006, r19008, MPFR_RNDN);
        ;
        mpfr_div(r19011, r19010, r19007, MPFR_RNDN);
        mpfr_div(r19012, r19011, r19008, MPFR_RNDN);
        mpfr_log(r19013, r19007, MPFR_RNDN);
        mpfr_div(r19014, r19013, r19007, MPFR_RNDN);
        mpfr_sqr(r19015, r19003, MPFR_RNDN);
        mpfr_div(r19016, r19014, r19015, MPFR_RNDN);
        mpfr_add(r19017, r19012, r19016, MPFR_RNDN);
        mpfr_sub(r19018, r19009, r19017, MPFR_RNDN);
        ;
        mpfr_set_si(r19020, mpfr_cmp(r19003, r19019) <= 0, MPFR_RNDN);
        mpfr_add(r19021, r19007, r19006, MPFR_RNDN);
        mpfr_div(r19022, r19006, r19003, MPFR_RNDN);
        mpfr_pow(r19023, r19021, r19022, MPFR_RNDN);
        mpfr_pow(r19024, r19007, r19022, MPFR_RNDN);
        mpfr_sub(r19025, r19023, r19024, MPFR_RNDN);
        mpfr_cbrt(r19026, r19025, MPFR_RNDN);
        mpfr_mul(r19027, r19026, r19026, MPFR_RNDN); mpfr_mul(r19027, r19027, r19026, MPFR_RNDN);
        mpfr_cbrt(r19028, r19027, MPFR_RNDN);
        mpfr_mul(r19029, r19028, r19028, MPFR_RNDN); mpfr_mul(r19029, r19029, r19028, MPFR_RNDN);
        if (mpfr_get_si(r19020, MPFR_RNDN)) { mpfr_set(r19030, r19029, MPFR_RNDN); } else { mpfr_set(r19030, r19018, MPFR_RNDN); };
        if (mpfr_get_si(r19005, MPFR_RNDN)) { mpfr_set(r19031, r19018, MPFR_RNDN); } else { mpfr_set(r19031, r19030, MPFR_RNDN); };
        return mpfr_get_d(r19031, MPFR_RNDN);
}