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

char *name = "2tan (problem 3.3.2)";

double f_if(float x, float eps) {
        float r22815 = x;
        float r22816 = eps;
        float r22817 = r22815 + r22816;
        float r22818 = tan(r22817);
        float r22819 = tan(r22815);
        float r22820 = r22818 - r22819;
        return r22820;
}

double f_id(double x, double eps) {
        double r22821 = x;
        double r22822 = eps;
        double r22823 = r22821 + r22822;
        double r22824 = tan(r22823);
        double r22825 = tan(r22821);
        double r22826 = r22824 - r22825;
        return r22826;
}


double f_of(float x, float eps) {
        float r22827 = x;
        float r22828 = tan(r22827);
        float r22829 = eps;
        float r22830 = tan(r22829);
        float r22831 = r22828 + r22830;
        float r22832 = cos(r22827);
        float r22833 = r22830 * r22828;
        float r22834 = 3;
        float r22835 = pow(r22833, r22834);
        float r22836 = r22832 * r22835;
        float r22837 = r22836 + r22832;
        float r22838 = r22831 * r22837;
        float r22839 = 1;
        float r22840 = r22833 * r22833;
        float r22841 = r22839 - r22840;
        float r22842 = sin(r22827);
        float r22843 = r22839 - r22833;
        float r22844 = r22840 + r22843;
        float r22845 = r22842 * r22844;
        float r22846 = r22841 * r22845;
        float r22847 = r22838 - r22846;
        float r22848 = r22843 + r22840;
        float r22849 = r22841 * r22848;
        float r22850 = r22849 * r22832;
        float r22851 = r22847 / r22850;
        float r22852 = -3.562198966313061e-16;
        bool r22853 = r22851 <= r22852;
        float r22854 = r22830 + r22828;
        float r22855 = r22854 / r22841;
        float r22856 = r22828 * r22830;
        float r22857 = r22839 + r22856;
        float r22858 = r22855 * r22857;
        float r22859 = r22858 * r22858;
        float r22860 = r22828 * r22828;
        float r22861 = r22859 - r22860;
        float r22862 = r22858 + r22828;
        float r22863 = r22861 / r22862;
        float r22864 = 2.1322419203862984e-16;
        bool r22865 = r22851 <= r22864;
        float r22866 = pow(r22829, r22834);
        float r22867 = 2;
        float r22868 = pow(r22827, r22867);
        float r22869 = r22866 * r22868;
        float r22870 = pow(r22829, r22867);
        float r22871 = r22870 * r22827;
        float r22872 = r22869 + r22871;
        float r22873 = r22829 + r22872;
        float r22874 = cbrt(r22856);
        float r22875 = r22874 * r22874;
        float r22876 = r22875 * r22874;
        float r22877 = r22839 - r22876;
        float r22878 = r22831 / r22877;
        float r22879 = r22878 - r22828;
        float r22880 = r22865 ? r22873 : r22879;
        float r22881 = r22853 ? r22863 : r22880;
        return r22881;
}

double f_od(double x, double eps) {
        double r22882 = x;
        double r22883 = tan(r22882);
        double r22884 = eps;
        double r22885 = tan(r22884);
        double r22886 = r22883 + r22885;
        double r22887 = cos(r22882);
        double r22888 = r22885 * r22883;
        double r22889 = 3;
        double r22890 = pow(r22888, r22889);
        double r22891 = r22887 * r22890;
        double r22892 = r22891 + r22887;
        double r22893 = r22886 * r22892;
        double r22894 = 1;
        double r22895 = r22888 * r22888;
        double r22896 = r22894 - r22895;
        double r22897 = sin(r22882);
        double r22898 = r22894 - r22888;
        double r22899 = r22895 + r22898;
        double r22900 = r22897 * r22899;
        double r22901 = r22896 * r22900;
        double r22902 = r22893 - r22901;
        double r22903 = r22898 + r22895;
        double r22904 = r22896 * r22903;
        double r22905 = r22904 * r22887;
        double r22906 = r22902 / r22905;
        double r22907 = -3.562198966313061e-16;
        bool r22908 = r22906 <= r22907;
        double r22909 = r22885 + r22883;
        double r22910 = r22909 / r22896;
        double r22911 = r22883 * r22885;
        double r22912 = r22894 + r22911;
        double r22913 = r22910 * r22912;
        double r22914 = r22913 * r22913;
        double r22915 = r22883 * r22883;
        double r22916 = r22914 - r22915;
        double r22917 = r22913 + r22883;
        double r22918 = r22916 / r22917;
        double r22919 = 2.1322419203862984e-16;
        bool r22920 = r22906 <= r22919;
        double r22921 = pow(r22884, r22889);
        double r22922 = 2;
        double r22923 = pow(r22882, r22922);
        double r22924 = r22921 * r22923;
        double r22925 = pow(r22884, r22922);
        double r22926 = r22925 * r22882;
        double r22927 = r22924 + r22926;
        double r22928 = r22884 + r22927;
        double r22929 = cbrt(r22911);
        double r22930 = r22929 * r22929;
        double r22931 = r22930 * r22929;
        double r22932 = r22894 - r22931;
        double r22933 = r22886 / r22932;
        double r22934 = r22933 - r22883;
        double r22935 = r22920 ? r22928 : r22934;
        double r22936 = r22908 ? r22918 : r22935;
        return r22936;
}

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 r22937, r22938, r22939, r22940, r22941, r22942;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2448);
        mpfr_init(r22937);
        mpfr_init(r22938);
        mpfr_init(r22939);
        mpfr_init(r22940);
        mpfr_init(r22941);
        mpfr_init(r22942);
}

double f_im(double x, double eps) {
        mpfr_set_d(r22937, x, MPFR_RNDN);
        mpfr_set_d(r22938, eps, MPFR_RNDN);
        mpfr_add(r22939, r22937, r22938, MPFR_RNDN);
        mpfr_tan(r22940, r22939, MPFR_RNDN);
        mpfr_tan(r22941, r22937, MPFR_RNDN);
        mpfr_sub(r22942, r22940, r22941, MPFR_RNDN);
        return mpfr_get_d(r22942, MPFR_RNDN);
}

static mpfr_t r22943, r22944, r22945, r22946, 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, r22990, r22991, r22992, r22993, r22994, r22995, r22996, r22997;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2448);
        mpfr_init(r22943);
        mpfr_init(r22944);
        mpfr_init(r22945);
        mpfr_init(r22946);
        mpfr_init(r22947);
        mpfr_init(r22948);
        mpfr_init(r22949);
        mpfr_init_set_str(r22950, "3", 10, MPFR_RNDN);
        mpfr_init(r22951);
        mpfr_init(r22952);
        mpfr_init(r22953);
        mpfr_init(r22954);
        mpfr_init_set_str(r22955, "1", 10, MPFR_RNDN);
        mpfr_init(r22956);
        mpfr_init(r22957);
        mpfr_init(r22958);
        mpfr_init(r22959);
        mpfr_init(r22960);
        mpfr_init(r22961);
        mpfr_init(r22962);
        mpfr_init(r22963);
        mpfr_init(r22964);
        mpfr_init(r22965);
        mpfr_init(r22966);
        mpfr_init(r22967);
        mpfr_init_set_str(r22968, "-3.562198966313061e-16", 10, MPFR_RNDN);
        mpfr_init(r22969);
        mpfr_init(r22970);
        mpfr_init(r22971);
        mpfr_init(r22972);
        mpfr_init(r22973);
        mpfr_init(r22974);
        mpfr_init(r22975);
        mpfr_init(r22976);
        mpfr_init(r22977);
        mpfr_init(r22978);
        mpfr_init(r22979);
        mpfr_init_set_str(r22980, "2.1322419203862984e-16", 10, MPFR_RNDN);
        mpfr_init(r22981);
        mpfr_init(r22982);
        mpfr_init_set_str(r22983, "2", 10, MPFR_RNDN);
        mpfr_init(r22984);
        mpfr_init(r22985);
        mpfr_init(r22986);
        mpfr_init(r22987);
        mpfr_init(r22988);
        mpfr_init(r22989);
        mpfr_init(r22990);
        mpfr_init(r22991);
        mpfr_init(r22992);
        mpfr_init(r22993);
        mpfr_init(r22994);
        mpfr_init(r22995);
        mpfr_init(r22996);
        mpfr_init(r22997);
}

double f_fm(double x, double eps) {
        mpfr_set_d(r22943, x, MPFR_RNDN);
        mpfr_tan(r22944, r22943, MPFR_RNDN);
        mpfr_set_d(r22945, eps, MPFR_RNDN);
        mpfr_tan(r22946, r22945, MPFR_RNDN);
        mpfr_add(r22947, r22944, r22946, MPFR_RNDN);
        mpfr_cos(r22948, r22943, MPFR_RNDN);
        mpfr_mul(r22949, r22946, r22944, MPFR_RNDN);
        ;
        mpfr_pow(r22951, r22949, r22950, MPFR_RNDN);
        mpfr_mul(r22952, r22948, r22951, MPFR_RNDN);
        mpfr_add(r22953, r22952, r22948, MPFR_RNDN);
        mpfr_mul(r22954, r22947, r22953, MPFR_RNDN);
        ;
        mpfr_mul(r22956, r22949, r22949, MPFR_RNDN);
        mpfr_sub(r22957, r22955, r22956, MPFR_RNDN);
        mpfr_sin(r22958, r22943, MPFR_RNDN);
        mpfr_sub(r22959, r22955, r22949, MPFR_RNDN);
        mpfr_add(r22960, r22956, r22959, MPFR_RNDN);
        mpfr_mul(r22961, r22958, r22960, MPFR_RNDN);
        mpfr_mul(r22962, r22957, r22961, MPFR_RNDN);
        mpfr_sub(r22963, r22954, r22962, MPFR_RNDN);
        mpfr_add(r22964, r22959, r22956, MPFR_RNDN);
        mpfr_mul(r22965, r22957, r22964, MPFR_RNDN);
        mpfr_mul(r22966, r22965, r22948, MPFR_RNDN);
        mpfr_div(r22967, r22963, r22966, MPFR_RNDN);
        ;
        mpfr_set_si(r22969, mpfr_cmp(r22967, r22968) <= 0, MPFR_RNDN);
        mpfr_add(r22970, r22946, r22944, MPFR_RNDN);
        mpfr_div(r22971, r22970, r22957, MPFR_RNDN);
        mpfr_mul(r22972, r22944, r22946, MPFR_RNDN);
        mpfr_add(r22973, r22955, r22972, MPFR_RNDN);
        mpfr_mul(r22974, r22971, r22973, MPFR_RNDN);
        mpfr_mul(r22975, r22974, r22974, MPFR_RNDN);
        mpfr_mul(r22976, r22944, r22944, MPFR_RNDN);
        mpfr_sub(r22977, r22975, r22976, MPFR_RNDN);
        mpfr_add(r22978, r22974, r22944, MPFR_RNDN);
        mpfr_div(r22979, r22977, r22978, MPFR_RNDN);
        ;
        mpfr_set_si(r22981, mpfr_cmp(r22967, r22980) <= 0, MPFR_RNDN);
        mpfr_pow(r22982, r22945, r22950, MPFR_RNDN);
        ;
        mpfr_pow(r22984, r22943, r22983, MPFR_RNDN);
        mpfr_mul(r22985, r22982, r22984, MPFR_RNDN);
        mpfr_pow(r22986, r22945, r22983, MPFR_RNDN);
        mpfr_mul(r22987, r22986, r22943, MPFR_RNDN);
        mpfr_add(r22988, r22985, r22987, MPFR_RNDN);
        mpfr_add(r22989, r22945, r22988, MPFR_RNDN);
        mpfr_cbrt(r22990, r22972, MPFR_RNDN);
        mpfr_mul(r22991, r22990, r22990, MPFR_RNDN);
        mpfr_mul(r22992, r22991, r22990, MPFR_RNDN);
        mpfr_sub(r22993, r22955, r22992, MPFR_RNDN);
        mpfr_div(r22994, r22947, r22993, MPFR_RNDN);
        mpfr_sub(r22995, r22994, r22944, MPFR_RNDN);
        if (mpfr_get_si(r22981, MPFR_RNDN)) { mpfr_set(r22996, r22989, MPFR_RNDN); } else { mpfr_set(r22996, r22995, MPFR_RNDN); };
        if (mpfr_get_si(r22969, MPFR_RNDN)) { mpfr_set(r22997, r22979, MPFR_RNDN); } else { mpfr_set(r22997, r22996, MPFR_RNDN); };
        return mpfr_get_d(r22997, MPFR_RNDN);
}

static mpfr_t r22998, r22999, r23000, r23001, r23002, r23003, r23004, r23005, r23006, r23007, r23008, r23009, r23010, r23011, r23012, r23013, r23014, r23015, r23016, r23017, r23018, r23019, r23020, r23021, r23022, r23023, r23024, r23025, r23026, r23027, r23028, r23029, r23030, r23031, r23032, r23033, r23034, r23035, r23036, r23037, r23038, r23039, r23040, r23041, r23042, r23043, r23044, r23045, r23046, r23047, r23048, r23049, r23050, r23051, r23052;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2448);
        mpfr_init(r22998);
        mpfr_init(r22999);
        mpfr_init(r23000);
        mpfr_init(r23001);
        mpfr_init(r23002);
        mpfr_init(r23003);
        mpfr_init(r23004);
        mpfr_init_set_str(r23005, "3", 10, MPFR_RNDN);
        mpfr_init(r23006);
        mpfr_init(r23007);
        mpfr_init(r23008);
        mpfr_init(r23009);
        mpfr_init_set_str(r23010, "1", 10, MPFR_RNDN);
        mpfr_init(r23011);
        mpfr_init(r23012);
        mpfr_init(r23013);
        mpfr_init(r23014);
        mpfr_init(r23015);
        mpfr_init(r23016);
        mpfr_init(r23017);
        mpfr_init(r23018);
        mpfr_init(r23019);
        mpfr_init(r23020);
        mpfr_init(r23021);
        mpfr_init(r23022);
        mpfr_init_set_str(r23023, "-3.562198966313061e-16", 10, MPFR_RNDN);
        mpfr_init(r23024);
        mpfr_init(r23025);
        mpfr_init(r23026);
        mpfr_init(r23027);
        mpfr_init(r23028);
        mpfr_init(r23029);
        mpfr_init(r23030);
        mpfr_init(r23031);
        mpfr_init(r23032);
        mpfr_init(r23033);
        mpfr_init(r23034);
        mpfr_init_set_str(r23035, "2.1322419203862984e-16", 10, MPFR_RNDN);
        mpfr_init(r23036);
        mpfr_init(r23037);
        mpfr_init_set_str(r23038, "2", 10, MPFR_RNDN);
        mpfr_init(r23039);
        mpfr_init(r23040);
        mpfr_init(r23041);
        mpfr_init(r23042);
        mpfr_init(r23043);
        mpfr_init(r23044);
        mpfr_init(r23045);
        mpfr_init(r23046);
        mpfr_init(r23047);
        mpfr_init(r23048);
        mpfr_init(r23049);
        mpfr_init(r23050);
        mpfr_init(r23051);
        mpfr_init(r23052);
}

double f_dm(double x, double eps) {
        mpfr_set_d(r22998, x, MPFR_RNDN);
        mpfr_tan(r22999, r22998, MPFR_RNDN);
        mpfr_set_d(r23000, eps, MPFR_RNDN);
        mpfr_tan(r23001, r23000, MPFR_RNDN);
        mpfr_add(r23002, r22999, r23001, MPFR_RNDN);
        mpfr_cos(r23003, r22998, MPFR_RNDN);
        mpfr_mul(r23004, r23001, r22999, MPFR_RNDN);
        ;
        mpfr_pow(r23006, r23004, r23005, MPFR_RNDN);
        mpfr_mul(r23007, r23003, r23006, MPFR_RNDN);
        mpfr_add(r23008, r23007, r23003, MPFR_RNDN);
        mpfr_mul(r23009, r23002, r23008, MPFR_RNDN);
        ;
        mpfr_mul(r23011, r23004, r23004, MPFR_RNDN);
        mpfr_sub(r23012, r23010, r23011, MPFR_RNDN);
        mpfr_sin(r23013, r22998, MPFR_RNDN);
        mpfr_sub(r23014, r23010, r23004, MPFR_RNDN);
        mpfr_add(r23015, r23011, r23014, MPFR_RNDN);
        mpfr_mul(r23016, r23013, r23015, MPFR_RNDN);
        mpfr_mul(r23017, r23012, r23016, MPFR_RNDN);
        mpfr_sub(r23018, r23009, r23017, MPFR_RNDN);
        mpfr_add(r23019, r23014, r23011, MPFR_RNDN);
        mpfr_mul(r23020, r23012, r23019, MPFR_RNDN);
        mpfr_mul(r23021, r23020, r23003, MPFR_RNDN);
        mpfr_div(r23022, r23018, r23021, MPFR_RNDN);
        ;
        mpfr_set_si(r23024, mpfr_cmp(r23022, r23023) <= 0, MPFR_RNDN);
        mpfr_add(r23025, r23001, r22999, MPFR_RNDN);
        mpfr_div(r23026, r23025, r23012, MPFR_RNDN);
        mpfr_mul(r23027, r22999, r23001, MPFR_RNDN);
        mpfr_add(r23028, r23010, r23027, MPFR_RNDN);
        mpfr_mul(r23029, r23026, r23028, MPFR_RNDN);
        mpfr_mul(r23030, r23029, r23029, MPFR_RNDN);
        mpfr_mul(r23031, r22999, r22999, MPFR_RNDN);
        mpfr_sub(r23032, r23030, r23031, MPFR_RNDN);
        mpfr_add(r23033, r23029, r22999, MPFR_RNDN);
        mpfr_div(r23034, r23032, r23033, MPFR_RNDN);
        ;
        mpfr_set_si(r23036, mpfr_cmp(r23022, r23035) <= 0, MPFR_RNDN);
        mpfr_pow(r23037, r23000, r23005, MPFR_RNDN);
        ;
        mpfr_pow(r23039, r22998, r23038, MPFR_RNDN);
        mpfr_mul(r23040, r23037, r23039, MPFR_RNDN);
        mpfr_pow(r23041, r23000, r23038, MPFR_RNDN);
        mpfr_mul(r23042, r23041, r22998, MPFR_RNDN);
        mpfr_add(r23043, r23040, r23042, MPFR_RNDN);
        mpfr_add(r23044, r23000, r23043, MPFR_RNDN);
        mpfr_cbrt(r23045, r23027, MPFR_RNDN);
        mpfr_mul(r23046, r23045, r23045, MPFR_RNDN);
        mpfr_mul(r23047, r23046, r23045, MPFR_RNDN);
        mpfr_sub(r23048, r23010, r23047, MPFR_RNDN);
        mpfr_div(r23049, r23002, r23048, MPFR_RNDN);
        mpfr_sub(r23050, r23049, r22999, MPFR_RNDN);
        if (mpfr_get_si(r23036, MPFR_RNDN)) { mpfr_set(r23051, r23044, MPFR_RNDN); } else { mpfr_set(r23051, r23050, MPFR_RNDN); };
        if (mpfr_get_si(r23024, MPFR_RNDN)) { mpfr_set(r23052, r23034, MPFR_RNDN); } else { mpfr_set(r23052, r23051, MPFR_RNDN); };
        return mpfr_get_d(r23052, MPFR_RNDN);
}