#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 r18903 = x;
        float r18904 = 1.0f;
        float r18905 = r18903 + r18904;
        float r18906 = n;
        float r18907 = r18904 / r18906;
        float r18908 = pow(r18905, r18907);
        float r18909 = pow(r18903, r18907);
        float r18910 = r18908 - r18909;
        return r18910;
}

double f_id(double x, double n) {
        double r18911 = x;
        double r18912 = 1.0;
        double r18913 = r18911 + r18912;
        double r18914 = n;
        double r18915 = r18912 / r18914;
        double r18916 = pow(r18913, r18915);
        double r18917 = pow(r18911, r18915);
        double r18918 = r18916 - r18917;
        return r18918;
}


double f_of(float x, float n) {
        float r18919 = n;
        float r18920 = -0.07976354662987911f;
        bool r18921 = r18919 <= r18920;
        float r18922 = 1.0f;
        float r18923 = r18922 / r18919;
        float r18924 = x;
        float r18925 = r18923 / r18924;
        float r18926 = 0.5f;
        float r18927 = r18926 / r18919;
        float r18928 = r18924 * r18924;
        float r18929 = r18927 / r18928;
        float r18930 = exp(r18929);
        float r18931 = log(r18930);
        float r18932 = r18925 - r18931;
        float r18933 = log(r18924);
        float r18934 = r18919 * r18924;
        float r18935 = r18919 * r18934;
        float r18936 = r18933 / r18935;
        float r18937 = r18932 + r18936;
        float r18938 = 83871.435384827f;
        bool r18939 = r18919 <= r18938;
        float r18940 = r18924 + r18922;
        float r18941 = pow(r18940, r18923);
        float r18942 = pow(r18924, r18923);
        float r18943 = r18941 - r18942;
        float r18944 = r18939 ? r18943 : r18937;
        float r18945 = r18921 ? r18937 : r18944;
        return r18945;
}

double f_od(double x, double n) {
        double r18946 = n;
        double r18947 = -0.07976354662987911;
        bool r18948 = r18946 <= r18947;
        double r18949 = 1.0;
        double r18950 = r18949 / r18946;
        double r18951 = x;
        double r18952 = r18950 / r18951;
        double r18953 = 0.5;
        double r18954 = r18953 / r18946;
        double r18955 = r18951 * r18951;
        double r18956 = r18954 / r18955;
        double r18957 = exp(r18956);
        double r18958 = log(r18957);
        double r18959 = r18952 - r18958;
        double r18960 = log(r18951);
        double r18961 = r18946 * r18951;
        double r18962 = r18946 * r18961;
        double r18963 = r18960 / r18962;
        double r18964 = r18959 + r18963;
        double r18965 = 83871.435384827;
        bool r18966 = r18946 <= r18965;
        double r18967 = r18951 + r18949;
        double r18968 = pow(r18967, r18950);
        double r18969 = pow(r18951, r18950);
        double r18970 = r18968 - r18969;
        double r18971 = r18966 ? r18970 : r18964;
        double r18972 = r18948 ? r18964 : r18971;
        return r18972;
}

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 r18973, r18974, r18975, r18976, r18977, r18978, r18979, r18980;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1424);
        mpfr_init(r18973);
        mpfr_init_set_str(r18974, "1", 10, MPFR_RNDN);
        mpfr_init(r18975);
        mpfr_init(r18976);
        mpfr_init(r18977);
        mpfr_init(r18978);
        mpfr_init(r18979);
        mpfr_init(r18980);
}

double f_im(double x, double n) {
        mpfr_set_d(r18973, x, MPFR_RNDN);
        ;
        mpfr_add(r18975, r18973, r18974, MPFR_RNDN);
        mpfr_set_d(r18976, n, MPFR_RNDN);
        mpfr_div(r18977, r18974, r18976, MPFR_RNDN);
        mpfr_pow(r18978, r18975, r18977, MPFR_RNDN);
        mpfr_pow(r18979, r18973, r18977, MPFR_RNDN);
        mpfr_sub(r18980, r18978, r18979, MPFR_RNDN);
        return mpfr_get_d(r18980, MPFR_RNDN);
}

static mpfr_t r18981, r18982, r18983, r18984, r18985, r18986, r18987, r18988, r18989, r18990, r18991, r18992, r18993, r18994, r18995, r18996, r18997, r18998, r18999, r19000, r19001, r19002, r19003, r19004, r19005, r19006, r19007;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r18981);
        mpfr_init_set_str(r18982, "-0.07976354662987911", 10, MPFR_RNDN);
        mpfr_init(r18983);
        mpfr_init_set_str(r18984, "1", 10, MPFR_RNDN);
        mpfr_init(r18985);
        mpfr_init(r18986);
        mpfr_init(r18987);
        mpfr_init_set_str(r18988, "1/2", 10, MPFR_RNDN);
        mpfr_init(r18989);
        mpfr_init(r18990);
        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_set_str(r19000, "83871.435384827", 10, MPFR_RNDN);
        mpfr_init(r19001);
        mpfr_init(r19002);
        mpfr_init(r19003);
        mpfr_init(r19004);
        mpfr_init(r19005);
        mpfr_init(r19006);
        mpfr_init(r19007);
}

double f_fm(double x, double n) {
        mpfr_set_d(r18981, n, MPFR_RNDN);
        ;
        mpfr_set_si(r18983, mpfr_cmp(r18981, r18982) <= 0, MPFR_RNDN);
        ;
        mpfr_div(r18985, r18984, r18981, MPFR_RNDN);
        mpfr_set_d(r18986, x, MPFR_RNDN);
        mpfr_div(r18987, r18985, r18986, MPFR_RNDN);
        ;
        mpfr_div(r18989, r18988, r18981, MPFR_RNDN);
        mpfr_sqr(r18990, r18986, MPFR_RNDN);
        mpfr_div(r18991, r18989, r18990, MPFR_RNDN);
        mpfr_exp(r18992, r18991, MPFR_RNDN);
        mpfr_log(r18993, r18992, MPFR_RNDN);
        mpfr_sub(r18994, r18987, r18993, MPFR_RNDN);
        mpfr_log(r18995, r18986, MPFR_RNDN);
        mpfr_mul(r18996, r18981, r18986, MPFR_RNDN);
        mpfr_mul(r18997, r18981, r18996, MPFR_RNDN);
        mpfr_div(r18998, r18995, r18997, MPFR_RNDN);
        mpfr_add(r18999, r18994, r18998, MPFR_RNDN);
        ;
        mpfr_set_si(r19001, mpfr_cmp(r18981, r19000) <= 0, MPFR_RNDN);
        mpfr_add(r19002, r18986, r18984, MPFR_RNDN);
        mpfr_pow(r19003, r19002, r18985, MPFR_RNDN);
        mpfr_pow(r19004, r18986, r18985, MPFR_RNDN);
        mpfr_sub(r19005, r19003, r19004, MPFR_RNDN);
        if (mpfr_get_si(r19001, MPFR_RNDN)) { mpfr_set(r19006, r19005, MPFR_RNDN); } else { mpfr_set(r19006, r18999, MPFR_RNDN); };
        if (mpfr_get_si(r18983, MPFR_RNDN)) { mpfr_set(r19007, r18999, MPFR_RNDN); } else { mpfr_set(r19007, r19006, MPFR_RNDN); };
        return mpfr_get_d(r19007, MPFR_RNDN);
}

static mpfr_t r19008, r19009, r19010, r19011, r19012, r19013, r19014, r19015, r19016, r19017, r19018, r19019, r19020, r19021, r19022, r19023, r19024, r19025, r19026, r19027, r19028, r19029, r19030, r19031, r19032, r19033, r19034;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1424);
        mpfr_init(r19008);
        mpfr_init_set_str(r19009, "-0.07976354662987911", 10, MPFR_RNDN);
        mpfr_init(r19010);
        mpfr_init_set_str(r19011, "1", 10, MPFR_RNDN);
        mpfr_init(r19012);
        mpfr_init(r19013);
        mpfr_init(r19014);
        mpfr_init_set_str(r19015, "1/2", 10, MPFR_RNDN);
        mpfr_init(r19016);
        mpfr_init(r19017);
        mpfr_init(r19018);
        mpfr_init(r19019);
        mpfr_init(r19020);
        mpfr_init(r19021);
        mpfr_init(r19022);
        mpfr_init(r19023);
        mpfr_init(r19024);
        mpfr_init(r19025);
        mpfr_init(r19026);
        mpfr_init_set_str(r19027, "83871.435384827", 10, MPFR_RNDN);
        mpfr_init(r19028);
        mpfr_init(r19029);
        mpfr_init(r19030);
        mpfr_init(r19031);
        mpfr_init(r19032);
        mpfr_init(r19033);
        mpfr_init(r19034);
}

double f_dm(double x, double n) {
        mpfr_set_d(r19008, n, MPFR_RNDN);
        ;
        mpfr_set_si(r19010, mpfr_cmp(r19008, r19009) <= 0, MPFR_RNDN);
        ;
        mpfr_div(r19012, r19011, r19008, MPFR_RNDN);
        mpfr_set_d(r19013, x, MPFR_RNDN);
        mpfr_div(r19014, r19012, r19013, MPFR_RNDN);
        ;
        mpfr_div(r19016, r19015, r19008, MPFR_RNDN);
        mpfr_sqr(r19017, r19013, MPFR_RNDN);
        mpfr_div(r19018, r19016, r19017, MPFR_RNDN);
        mpfr_exp(r19019, r19018, MPFR_RNDN);
        mpfr_log(r19020, r19019, MPFR_RNDN);
        mpfr_sub(r19021, r19014, r19020, MPFR_RNDN);
        mpfr_log(r19022, r19013, MPFR_RNDN);
        mpfr_mul(r19023, r19008, r19013, MPFR_RNDN);
        mpfr_mul(r19024, r19008, r19023, MPFR_RNDN);
        mpfr_div(r19025, r19022, r19024, MPFR_RNDN);
        mpfr_add(r19026, r19021, r19025, MPFR_RNDN);
        ;
        mpfr_set_si(r19028, mpfr_cmp(r19008, r19027) <= 0, MPFR_RNDN);
        mpfr_add(r19029, r19013, r19011, MPFR_RNDN);
        mpfr_pow(r19030, r19029, r19012, MPFR_RNDN);
        mpfr_pow(r19031, r19013, r19012, MPFR_RNDN);
        mpfr_sub(r19032, r19030, r19031, MPFR_RNDN);
        if (mpfr_get_si(r19028, MPFR_RNDN)) { mpfr_set(r19033, r19032, MPFR_RNDN); } else { mpfr_set(r19033, r19026, MPFR_RNDN); };
        if (mpfr_get_si(r19010, MPFR_RNDN)) { mpfr_set(r19034, r19026, MPFR_RNDN); } else { mpfr_set(r19034, r19033, MPFR_RNDN); };
        return mpfr_get_d(r19034, MPFR_RNDN);
}

