#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 r21730 = x;
        float r21731 = eps;
        float r21732 = r21730 + r21731;
        float r21733 = tan(r21732);
        float r21734 = tan(r21730);
        float r21735 = r21733 - r21734;
        return r21735;
}

double f_id(double x, double eps) {
        double r21736 = x;
        double r21737 = eps;
        double r21738 = r21736 + r21737;
        double r21739 = tan(r21738);
        double r21740 = tan(r21736);
        double r21741 = r21739 - r21740;
        return r21741;
}


double f_of(float x, float eps) {
        float r21742 = eps;
        float r21743 = -1.1197109515059853e-73;
        bool r21744 = r21742 <= r21743;
        float r21745 = x;
        float r21746 = tan(r21745);
        float r21747 = tan(r21742);
        float r21748 = r21746 + r21747;
        float r21749 = cos(r21745);
        float r21750 = r21748 * r21749;
        float r21751 = 1;
        float r21752 = r21746 * r21747;
        float r21753 = r21751 - r21752;
        float r21754 = sin(r21745);
        float r21755 = r21753 * r21754;
        float r21756 = r21750 - r21755;
        float r21757 = r21753 * r21749;
        float r21758 = r21756 / r21757;
        float r21759 = 5.558436005007817e-38;
        bool r21760 = r21742 <= r21759;
        float r21761 = 3;
        float r21762 = pow(r21742, r21761);
        float r21763 = 2;
        float r21764 = pow(r21745, r21763);
        float r21765 = r21762 * r21764;
        float r21766 = pow(r21742, r21763);
        float r21767 = r21766 * r21745;
        float r21768 = r21765 + r21767;
        float r21769 = r21742 + r21768;
        float r21770 = r21760 ? r21769 : r21758;
        float r21771 = r21744 ? r21758 : r21770;
        return r21771;
}

double f_od(double x, double eps) {
        double r21772 = eps;
        double r21773 = -1.1197109515059853e-73;
        bool r21774 = r21772 <= r21773;
        double r21775 = x;
        double r21776 = tan(r21775);
        double r21777 = tan(r21772);
        double r21778 = r21776 + r21777;
        double r21779 = cos(r21775);
        double r21780 = r21778 * r21779;
        double r21781 = 1;
        double r21782 = r21776 * r21777;
        double r21783 = r21781 - r21782;
        double r21784 = sin(r21775);
        double r21785 = r21783 * r21784;
        double r21786 = r21780 - r21785;
        double r21787 = r21783 * r21779;
        double r21788 = r21786 / r21787;
        double r21789 = 5.558436005007817e-38;
        bool r21790 = r21772 <= r21789;
        double r21791 = 3;
        double r21792 = pow(r21772, r21791);
        double r21793 = 2;
        double r21794 = pow(r21775, r21793);
        double r21795 = r21792 * r21794;
        double r21796 = pow(r21772, r21793);
        double r21797 = r21796 * r21775;
        double r21798 = r21795 + r21797;
        double r21799 = r21772 + r21798;
        double r21800 = r21790 ? r21799 : r21788;
        double r21801 = r21774 ? r21788 : r21800;
        return r21801;
}

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 r21802, r21803, r21804, r21805, r21806, r21807;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2448);
        mpfr_init(r21802);
        mpfr_init(r21803);
        mpfr_init(r21804);
        mpfr_init(r21805);
        mpfr_init(r21806);
        mpfr_init(r21807);
}

double f_im(double x, double eps) {
        mpfr_set_d(r21802, x, MPFR_RNDN);
        mpfr_set_d(r21803, eps, MPFR_RNDN);
        mpfr_add(r21804, r21802, r21803, MPFR_RNDN);
        mpfr_tan(r21805, r21804, MPFR_RNDN);
        mpfr_tan(r21806, r21802, MPFR_RNDN);
        mpfr_sub(r21807, r21805, r21806, MPFR_RNDN);
        return mpfr_get_d(r21807, MPFR_RNDN);
}

static mpfr_t r21808, r21809, r21810, r21811, r21812, r21813, r21814, r21815, r21816, r21817, r21818, r21819, r21820, r21821, r21822, r21823, r21824, r21825, r21826, r21827, r21828, r21829, r21830, r21831, r21832, r21833, r21834, r21835, r21836, r21837;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2448);
        mpfr_init(r21808);
        mpfr_init_set_str(r21809, "-1.1197109515059853e-73", 10, MPFR_RNDN);
        mpfr_init(r21810);
        mpfr_init(r21811);
        mpfr_init(r21812);
        mpfr_init(r21813);
        mpfr_init(r21814);
        mpfr_init(r21815);
        mpfr_init(r21816);
        mpfr_init_set_str(r21817, "1", 10, MPFR_RNDN);
        mpfr_init(r21818);
        mpfr_init(r21819);
        mpfr_init(r21820);
        mpfr_init(r21821);
        mpfr_init(r21822);
        mpfr_init(r21823);
        mpfr_init(r21824);
        mpfr_init_set_str(r21825, "5.558436005007817e-38", 10, MPFR_RNDN);
        mpfr_init(r21826);
        mpfr_init_set_str(r21827, "3", 10, MPFR_RNDN);
        mpfr_init(r21828);
        mpfr_init_set_str(r21829, "2", 10, MPFR_RNDN);
        mpfr_init(r21830);
        mpfr_init(r21831);
        mpfr_init(r21832);
        mpfr_init(r21833);
        mpfr_init(r21834);
        mpfr_init(r21835);
        mpfr_init(r21836);
        mpfr_init(r21837);
}

double f_fm(double x, double eps) {
        mpfr_set_d(r21808, eps, MPFR_RNDN);
        ;
        mpfr_set_si(r21810, mpfr_cmp(r21808, r21809) <= 0, MPFR_RNDN);
        mpfr_set_d(r21811, x, MPFR_RNDN);
        mpfr_tan(r21812, r21811, MPFR_RNDN);
        mpfr_tan(r21813, r21808, MPFR_RNDN);
        mpfr_add(r21814, r21812, r21813, MPFR_RNDN);
        mpfr_cos(r21815, r21811, MPFR_RNDN);
        mpfr_mul(r21816, r21814, r21815, MPFR_RNDN);
        ;
        mpfr_mul(r21818, r21812, r21813, MPFR_RNDN);
        mpfr_sub(r21819, r21817, r21818, MPFR_RNDN);
        mpfr_sin(r21820, r21811, MPFR_RNDN);
        mpfr_mul(r21821, r21819, r21820, MPFR_RNDN);
        mpfr_sub(r21822, r21816, r21821, MPFR_RNDN);
        mpfr_mul(r21823, r21819, r21815, MPFR_RNDN);
        mpfr_div(r21824, r21822, r21823, MPFR_RNDN);
        ;
        mpfr_set_si(r21826, mpfr_cmp(r21808, r21825) <= 0, MPFR_RNDN);
        ;
        mpfr_pow(r21828, r21808, r21827, MPFR_RNDN);
        ;
        mpfr_pow(r21830, r21811, r21829, MPFR_RNDN);
        mpfr_mul(r21831, r21828, r21830, MPFR_RNDN);
        mpfr_pow(r21832, r21808, r21829, MPFR_RNDN);
        mpfr_mul(r21833, r21832, r21811, MPFR_RNDN);
        mpfr_add(r21834, r21831, r21833, MPFR_RNDN);
        mpfr_add(r21835, r21808, r21834, MPFR_RNDN);
        if (mpfr_get_si(r21826, MPFR_RNDN)) { mpfr_set(r21836, r21835, MPFR_RNDN); } else { mpfr_set(r21836, r21824, MPFR_RNDN); };
        if (mpfr_get_si(r21810, MPFR_RNDN)) { mpfr_set(r21837, r21824, MPFR_RNDN); } else { mpfr_set(r21837, r21836, MPFR_RNDN); };
        return mpfr_get_d(r21837, MPFR_RNDN);
}

static mpfr_t r21838, r21839, r21840, r21841, r21842, r21843, r21844, r21845, r21846, r21847, r21848, r21849, r21850, r21851, r21852, r21853, r21854, r21855, r21856, r21857, r21858, r21859, r21860, r21861, r21862, r21863, r21864, r21865, r21866, r21867;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2448);
        mpfr_init(r21838);
        mpfr_init_set_str(r21839, "-1.1197109515059853e-73", 10, MPFR_RNDN);
        mpfr_init(r21840);
        mpfr_init(r21841);
        mpfr_init(r21842);
        mpfr_init(r21843);
        mpfr_init(r21844);
        mpfr_init(r21845);
        mpfr_init(r21846);
        mpfr_init_set_str(r21847, "1", 10, MPFR_RNDN);
        mpfr_init(r21848);
        mpfr_init(r21849);
        mpfr_init(r21850);
        mpfr_init(r21851);
        mpfr_init(r21852);
        mpfr_init(r21853);
        mpfr_init(r21854);
        mpfr_init_set_str(r21855, "5.558436005007817e-38", 10, MPFR_RNDN);
        mpfr_init(r21856);
        mpfr_init_set_str(r21857, "3", 10, MPFR_RNDN);
        mpfr_init(r21858);
        mpfr_init_set_str(r21859, "2", 10, MPFR_RNDN);
        mpfr_init(r21860);
        mpfr_init(r21861);
        mpfr_init(r21862);
        mpfr_init(r21863);
        mpfr_init(r21864);
        mpfr_init(r21865);
        mpfr_init(r21866);
        mpfr_init(r21867);
}

double f_dm(double x, double eps) {
        mpfr_set_d(r21838, eps, MPFR_RNDN);
        ;
        mpfr_set_si(r21840, mpfr_cmp(r21838, r21839) <= 0, MPFR_RNDN);
        mpfr_set_d(r21841, x, MPFR_RNDN);
        mpfr_tan(r21842, r21841, MPFR_RNDN);
        mpfr_tan(r21843, r21838, MPFR_RNDN);
        mpfr_add(r21844, r21842, r21843, MPFR_RNDN);
        mpfr_cos(r21845, r21841, MPFR_RNDN);
        mpfr_mul(r21846, r21844, r21845, MPFR_RNDN);
        ;
        mpfr_mul(r21848, r21842, r21843, MPFR_RNDN);
        mpfr_sub(r21849, r21847, r21848, MPFR_RNDN);
        mpfr_sin(r21850, r21841, MPFR_RNDN);
        mpfr_mul(r21851, r21849, r21850, MPFR_RNDN);
        mpfr_sub(r21852, r21846, r21851, MPFR_RNDN);
        mpfr_mul(r21853, r21849, r21845, MPFR_RNDN);
        mpfr_div(r21854, r21852, r21853, MPFR_RNDN);
        ;
        mpfr_set_si(r21856, mpfr_cmp(r21838, r21855) <= 0, MPFR_RNDN);
        ;
        mpfr_pow(r21858, r21838, r21857, MPFR_RNDN);
        ;
        mpfr_pow(r21860, r21841, r21859, MPFR_RNDN);
        mpfr_mul(r21861, r21858, r21860, MPFR_RNDN);
        mpfr_pow(r21862, r21838, r21859, MPFR_RNDN);
        mpfr_mul(r21863, r21862, r21841, MPFR_RNDN);
        mpfr_add(r21864, r21861, r21863, MPFR_RNDN);
        mpfr_add(r21865, r21838, r21864, MPFR_RNDN);
        if (mpfr_get_si(r21856, MPFR_RNDN)) { mpfr_set(r21866, r21865, MPFR_RNDN); } else { mpfr_set(r21866, r21854, MPFR_RNDN); };
        if (mpfr_get_si(r21840, MPFR_RNDN)) { mpfr_set(r21867, r21854, MPFR_RNDN); } else { mpfr_set(r21867, r21866, MPFR_RNDN); };
        return mpfr_get_d(r21867, MPFR_RNDN);
}