#include <tgmath.h>
#include <gmp.h>
#include <mpfr.h>
#include <stdio.h>
#include <stdbool.h>

char *name = "2log (problem 3.3.6)";

double f_if(float N) {
        float r22943 = N;
        float r22944 = 1;
        float r22945 = r22943 + r22944;
        float r22946 = log(r22945);
        float r22947 = log(r22943);
        float r22948 = r22946 - r22947;
        return r22948;
}

double f_id(double N) {
        double r22949 = N;
        double r22950 = 1;
        double r22951 = r22949 + r22950;
        double r22952 = log(r22951);
        double r22953 = log(r22949);
        double r22954 = r22952 - r22953;
        return r22954;
}


double f_of(float N) {
        float r22955 = N;
        float r22956 = 1;
        float r22957 = r22955 + r22956;
        float r22958 = log(r22957);
        float r22959 = log(r22955);
        float r22960 = r22958 - r22959;
        float r22961 = 3.997170822422902e-05;
        bool r22962 = r22960 <= r22961;
        float r22963 = 1/3;
        float r22964 = r22955 * r22955;
        float r22965 = r22963 / r22964;
        float r22966 = 1/2;
        float r22967 = r22966 / r22955;
        float r22968 = r22956 - r22967;
        float r22969 = r22965 + r22968;
        float r22970 = r22969 / r22955;
        float r22971 = r22957 / r22955;
        float r22972 = log(r22971);
        float r22973 = r22962 ? r22970 : r22972;
        return r22973;
}

double f_od(double N) {
        double r22974 = N;
        double r22975 = 1;
        double r22976 = r22974 + r22975;
        double r22977 = log(r22976);
        double r22978 = log(r22974);
        double r22979 = r22977 - r22978;
        double r22980 = 3.997170822422902e-05;
        bool r22981 = r22979 <= r22980;
        double r22982 = 1/3;
        double r22983 = r22974 * r22974;
        double r22984 = r22982 / r22983;
        double r22985 = 1/2;
        double r22986 = r22985 / r22974;
        double r22987 = r22975 - r22986;
        double r22988 = r22984 + r22987;
        double r22989 = r22988 / r22974;
        double r22990 = r22976 / r22974;
        double r22991 = log(r22990);
        double r22992 = r22981 ? r22989 : r22991;
        return r22992;
}

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 r22993, r22994, r22995, r22996, r22997, r22998;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(8208);
        mpfr_init(r22993);
        mpfr_init_set_str(r22994, "1", 10, MPFR_RNDN);
        mpfr_init(r22995);
        mpfr_init(r22996);
        mpfr_init(r22997);
        mpfr_init(r22998);
}

double f_im(double N) {
        mpfr_set_d(r22993, N, MPFR_RNDN);
        ;
        mpfr_add(r22995, r22993, r22994, MPFR_RNDN);
        mpfr_log(r22996, r22995, MPFR_RNDN);
        mpfr_log(r22997, r22993, MPFR_RNDN);
        mpfr_sub(r22998, r22996, r22997, MPFR_RNDN);
        return mpfr_get_d(r22998, MPFR_RNDN);
}

static mpfr_t r22999, r23000, r23001, r23002, r23003, r23004, r23005, r23006, r23007, r23008, r23009, r23010, r23011, r23012, r23013, r23014, r23015, r23016, r23017;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(8208);
        mpfr_init(r22999);
        mpfr_init_set_str(r23000, "1", 10, MPFR_RNDN);
        mpfr_init(r23001);
        mpfr_init(r23002);
        mpfr_init(r23003);
        mpfr_init(r23004);
        mpfr_init_set_str(r23005, "3.997170822422902e-05", 10, MPFR_RNDN);
        mpfr_init(r23006);
        mpfr_init_set_str(r23007, "1/3", 10, MPFR_RNDN);
        mpfr_init(r23008);
        mpfr_init(r23009);
        mpfr_init_set_str(r23010, "1/2", 10, MPFR_RNDN);
        mpfr_init(r23011);
        mpfr_init(r23012);
        mpfr_init(r23013);
        mpfr_init(r23014);
        mpfr_init(r23015);
        mpfr_init(r23016);
        mpfr_init(r23017);
}

double f_fm(double N) {
        mpfr_set_d(r22999, N, MPFR_RNDN);
        ;
        mpfr_add(r23001, r22999, r23000, MPFR_RNDN);
        mpfr_log(r23002, r23001, MPFR_RNDN);
        mpfr_log(r23003, r22999, MPFR_RNDN);
        mpfr_sub(r23004, r23002, r23003, MPFR_RNDN);
        ;
        mpfr_set_si(r23006, mpfr_cmp(r23004, r23005) <= 0, MPFR_RNDN);
        ;
        mpfr_mul(r23008, r22999, r22999, MPFR_RNDN);
        mpfr_div(r23009, r23007, r23008, MPFR_RNDN);
        ;
        mpfr_div(r23011, r23010, r22999, MPFR_RNDN);
        mpfr_sub(r23012, r23000, r23011, MPFR_RNDN);
        mpfr_add(r23013, r23009, r23012, MPFR_RNDN);
        mpfr_div(r23014, r23013, r22999, MPFR_RNDN);
        mpfr_div(r23015, r23001, r22999, MPFR_RNDN);
        mpfr_log(r23016, r23015, MPFR_RNDN);
        if (mpfr_get_si(r23006, MPFR_RNDN)) { mpfr_set(r23017, r23014, MPFR_RNDN); } else { mpfr_set(r23017, r23016, MPFR_RNDN); };
        return mpfr_get_d(r23017, MPFR_RNDN);
}

static mpfr_t r23018, r23019, r23020, r23021, r23022, r23023, r23024, r23025, r23026, r23027, r23028, r23029, r23030, r23031, r23032, r23033, r23034, r23035, r23036;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(8208);
        mpfr_init(r23018);
        mpfr_init_set_str(r23019, "1", 10, MPFR_RNDN);
        mpfr_init(r23020);
        mpfr_init(r23021);
        mpfr_init(r23022);
        mpfr_init(r23023);
        mpfr_init_set_str(r23024, "3.997170822422902e-05", 10, MPFR_RNDN);
        mpfr_init(r23025);
        mpfr_init_set_str(r23026, "1/3", 10, MPFR_RNDN);
        mpfr_init(r23027);
        mpfr_init(r23028);
        mpfr_init_set_str(r23029, "1/2", 10, MPFR_RNDN);
        mpfr_init(r23030);
        mpfr_init(r23031);
        mpfr_init(r23032);
        mpfr_init(r23033);
        mpfr_init(r23034);
        mpfr_init(r23035);
        mpfr_init(r23036);
}

double f_dm(double N) {
        mpfr_set_d(r23018, N, MPFR_RNDN);
        ;
        mpfr_add(r23020, r23018, r23019, MPFR_RNDN);
        mpfr_log(r23021, r23020, MPFR_RNDN);
        mpfr_log(r23022, r23018, MPFR_RNDN);
        mpfr_sub(r23023, r23021, r23022, MPFR_RNDN);
        ;
        mpfr_set_si(r23025, mpfr_cmp(r23023, r23024) <= 0, MPFR_RNDN);
        ;
        mpfr_mul(r23027, r23018, r23018, MPFR_RNDN);
        mpfr_div(r23028, r23026, r23027, MPFR_RNDN);
        ;
        mpfr_div(r23030, r23029, r23018, MPFR_RNDN);
        mpfr_sub(r23031, r23019, r23030, MPFR_RNDN);
        mpfr_add(r23032, r23028, r23031, MPFR_RNDN);
        mpfr_div(r23033, r23032, r23018, MPFR_RNDN);
        mpfr_div(r23034, r23020, r23018, MPFR_RNDN);
        mpfr_log(r23035, r23034, MPFR_RNDN);
        if (mpfr_get_si(r23025, MPFR_RNDN)) { mpfr_set(r23036, r23033, MPFR_RNDN); } else { mpfr_set(r23036, r23035, MPFR_RNDN); };
        return mpfr_get_d(r23036, MPFR_RNDN);
}