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

char *name = "cos2 (problem 3.4.1)";

double f_if(float x) {
        float r21720 = 1;
        float r21721 = x;
        float r21722 = cos(r21721);
        float r21723 = r21720 - r21722;
        float r21724 = r21721 * r21721;
        float r21725 = r21723 / r21724;
        return r21725;
}

double f_id(double x) {
        double r21726 = 1;
        double r21727 = x;
        double r21728 = cos(r21727);
        double r21729 = r21726 - r21728;
        double r21730 = r21727 * r21727;
        double r21731 = r21729 / r21730;
        return r21731;
}


double f_of(float x) {
        float r21732 = x;
        float r21733 = -0.011697034210601627;
        bool r21734 = r21732 <= r21733;
        float r21735 = 2;
        float r21736 = r21732 / r21735;
        float r21737 = tan(r21736);
        float r21738 = sin(r21732);
        float r21739 = r21737 * r21738;
        float r21740 = sqrt(r21739);
        float r21741 = r21740 / r21732;
        float r21742 = r21741 * r21741;
        float r21743 = 0.03221387480965043;
        bool r21744 = r21732 <= r21743;
        float r21745 = 1/2;
        float r21746 = 1/720;
        float r21747 = 4;
        float r21748 = pow(r21732, r21747);
        float r21749 = r21746 * r21748;
        float r21750 = r21745 + r21749;
        float r21751 = 1/24;
        float r21752 = pow(r21732, r21735);
        float r21753 = r21751 * r21752;
        float r21754 = r21750 - r21753;
        float r21755 = 1;
        float r21756 = r21755 / r21732;
        float r21757 = cos(r21732);
        float r21758 = r21755 - r21757;
        float r21759 = r21758 / r21732;
        float r21760 = r21756 * r21759;
        float r21761 = r21744 ? r21754 : r21760;
        float r21762 = r21734 ? r21742 : r21761;
        return r21762;
}

double f_od(double x) {
        double r21763 = x;
        double r21764 = -0.011697034210601627;
        bool r21765 = r21763 <= r21764;
        double r21766 = 2;
        double r21767 = r21763 / r21766;
        double r21768 = tan(r21767);
        double r21769 = sin(r21763);
        double r21770 = r21768 * r21769;
        double r21771 = sqrt(r21770);
        double r21772 = r21771 / r21763;
        double r21773 = r21772 * r21772;
        double r21774 = 0.03221387480965043;
        bool r21775 = r21763 <= r21774;
        double r21776 = 1/2;
        double r21777 = 1/720;
        double r21778 = 4;
        double r21779 = pow(r21763, r21778);
        double r21780 = r21777 * r21779;
        double r21781 = r21776 + r21780;
        double r21782 = 1/24;
        double r21783 = pow(r21763, r21766);
        double r21784 = r21782 * r21783;
        double r21785 = r21781 - r21784;
        double r21786 = 1;
        double r21787 = r21786 / r21763;
        double r21788 = cos(r21763);
        double r21789 = r21786 - r21788;
        double r21790 = r21789 / r21763;
        double r21791 = r21787 * r21790;
        double r21792 = r21775 ? r21785 : r21791;
        double r21793 = r21765 ? r21773 : r21792;
        return r21793;
}

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 r21794, r21795, r21796, r21797, r21798, r21799;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2448);
        mpfr_init_set_str(r21794, "1", 10, MPFR_RNDN);
        mpfr_init(r21795);
        mpfr_init(r21796);
        mpfr_init(r21797);
        mpfr_init(r21798);
        mpfr_init(r21799);
}

double f_im(double x) {
        ;
        mpfr_set_d(r21795, x, MPFR_RNDN);
        mpfr_cos(r21796, r21795, MPFR_RNDN);
        mpfr_sub(r21797, r21794, r21796, MPFR_RNDN);
        mpfr_mul(r21798, r21795, r21795, MPFR_RNDN);
        mpfr_div(r21799, r21797, r21798, MPFR_RNDN);
        return mpfr_get_d(r21799, MPFR_RNDN);
}

static mpfr_t r21800, r21801, r21802, r21803, r21804, r21805, r21806, r21807, r21808, r21809, r21810, r21811, r21812, r21813, r21814, r21815, r21816, r21817, r21818, r21819, r21820, r21821, r21822, r21823, r21824, r21825, r21826, r21827, r21828, r21829, r21830;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2448);
        mpfr_init(r21800);
        mpfr_init_set_str(r21801, "-0.011697034210601627", 10, MPFR_RNDN);
        mpfr_init(r21802);
        mpfr_init_set_str(r21803, "2", 10, MPFR_RNDN);
        mpfr_init(r21804);
        mpfr_init(r21805);
        mpfr_init(r21806);
        mpfr_init(r21807);
        mpfr_init(r21808);
        mpfr_init(r21809);
        mpfr_init(r21810);
        mpfr_init_set_str(r21811, "0.03221387480965043", 10, MPFR_RNDN);
        mpfr_init(r21812);
        mpfr_init_set_str(r21813, "1/2", 10, MPFR_RNDN);
        mpfr_init_set_str(r21814, "1/720", 10, MPFR_RNDN);
        mpfr_init_set_str(r21815, "4", 10, MPFR_RNDN);
        mpfr_init(r21816);
        mpfr_init(r21817);
        mpfr_init(r21818);
        mpfr_init_set_str(r21819, "1/24", 10, MPFR_RNDN);
        mpfr_init(r21820);
        mpfr_init(r21821);
        mpfr_init(r21822);
        mpfr_init_set_str(r21823, "1", 10, MPFR_RNDN);
        mpfr_init(r21824);
        mpfr_init(r21825);
        mpfr_init(r21826);
        mpfr_init(r21827);
        mpfr_init(r21828);
        mpfr_init(r21829);
        mpfr_init(r21830);
}

double f_fm(double x) {
        mpfr_set_d(r21800, x, MPFR_RNDN);
        ;
        mpfr_set_si(r21802, mpfr_cmp(r21800, r21801) <= 0, MPFR_RNDN);
        ;
        mpfr_div(r21804, r21800, r21803, MPFR_RNDN);
        mpfr_tan(r21805, r21804, MPFR_RNDN);
        mpfr_sin(r21806, r21800, MPFR_RNDN);
        mpfr_mul(r21807, r21805, r21806, MPFR_RNDN);
        mpfr_sqrt(r21808, r21807, MPFR_RNDN);
        mpfr_div(r21809, r21808, r21800, MPFR_RNDN);
        mpfr_mul(r21810, r21809, r21809, MPFR_RNDN);
        ;
        mpfr_set_si(r21812, mpfr_cmp(r21800, r21811) <= 0, MPFR_RNDN);
        ;
        ;
        ;
        mpfr_pow(r21816, r21800, r21815, MPFR_RNDN);
        mpfr_mul(r21817, r21814, r21816, MPFR_RNDN);
        mpfr_add(r21818, r21813, r21817, MPFR_RNDN);
        ;
        mpfr_pow(r21820, r21800, r21803, MPFR_RNDN);
        mpfr_mul(r21821, r21819, r21820, MPFR_RNDN);
        mpfr_sub(r21822, r21818, r21821, MPFR_RNDN);
        ;
        mpfr_div(r21824, r21823, r21800, MPFR_RNDN);
        mpfr_cos(r21825, r21800, MPFR_RNDN);
        mpfr_sub(r21826, r21823, r21825, MPFR_RNDN);
        mpfr_div(r21827, r21826, r21800, MPFR_RNDN);
        mpfr_mul(r21828, r21824, r21827, MPFR_RNDN);
        if (mpfr_get_si(r21812, MPFR_RNDN)) { mpfr_set(r21829, r21822, MPFR_RNDN); } else { mpfr_set(r21829, r21828, MPFR_RNDN); };
        if (mpfr_get_si(r21802, MPFR_RNDN)) { mpfr_set(r21830, r21810, MPFR_RNDN); } else { mpfr_set(r21830, r21829, MPFR_RNDN); };
        return mpfr_get_d(r21830, MPFR_RNDN);
}

static mpfr_t r21831, r21832, r21833, r21834, r21835, r21836, r21837, r21838, r21839, r21840, r21841, r21842, r21843, r21844, r21845, r21846, r21847, r21848, r21849, r21850, r21851, r21852, r21853, r21854, r21855, r21856, r21857, r21858, r21859, r21860, r21861;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2448);
        mpfr_init(r21831);
        mpfr_init_set_str(r21832, "-0.011697034210601627", 10, MPFR_RNDN);
        mpfr_init(r21833);
        mpfr_init_set_str(r21834, "2", 10, MPFR_RNDN);
        mpfr_init(r21835);
        mpfr_init(r21836);
        mpfr_init(r21837);
        mpfr_init(r21838);
        mpfr_init(r21839);
        mpfr_init(r21840);
        mpfr_init(r21841);
        mpfr_init_set_str(r21842, "0.03221387480965043", 10, MPFR_RNDN);
        mpfr_init(r21843);
        mpfr_init_set_str(r21844, "1/2", 10, MPFR_RNDN);
        mpfr_init_set_str(r21845, "1/720", 10, MPFR_RNDN);
        mpfr_init_set_str(r21846, "4", 10, MPFR_RNDN);
        mpfr_init(r21847);
        mpfr_init(r21848);
        mpfr_init(r21849);
        mpfr_init_set_str(r21850, "1/24", 10, MPFR_RNDN);
        mpfr_init(r21851);
        mpfr_init(r21852);
        mpfr_init(r21853);
        mpfr_init_set_str(r21854, "1", 10, MPFR_RNDN);
        mpfr_init(r21855);
        mpfr_init(r21856);
        mpfr_init(r21857);
        mpfr_init(r21858);
        mpfr_init(r21859);
        mpfr_init(r21860);
        mpfr_init(r21861);
}

double f_dm(double x) {
        mpfr_set_d(r21831, x, MPFR_RNDN);
        ;
        mpfr_set_si(r21833, mpfr_cmp(r21831, r21832) <= 0, MPFR_RNDN);
        ;
        mpfr_div(r21835, r21831, r21834, MPFR_RNDN);
        mpfr_tan(r21836, r21835, MPFR_RNDN);
        mpfr_sin(r21837, r21831, MPFR_RNDN);
        mpfr_mul(r21838, r21836, r21837, MPFR_RNDN);
        mpfr_sqrt(r21839, r21838, MPFR_RNDN);
        mpfr_div(r21840, r21839, r21831, MPFR_RNDN);
        mpfr_mul(r21841, r21840, r21840, MPFR_RNDN);
        ;
        mpfr_set_si(r21843, mpfr_cmp(r21831, r21842) <= 0, MPFR_RNDN);
        ;
        ;
        ;
        mpfr_pow(r21847, r21831, r21846, MPFR_RNDN);
        mpfr_mul(r21848, r21845, r21847, MPFR_RNDN);
        mpfr_add(r21849, r21844, r21848, MPFR_RNDN);
        ;
        mpfr_pow(r21851, r21831, r21834, MPFR_RNDN);
        mpfr_mul(r21852, r21850, r21851, MPFR_RNDN);
        mpfr_sub(r21853, r21849, r21852, MPFR_RNDN);
        ;
        mpfr_div(r21855, r21854, r21831, MPFR_RNDN);
        mpfr_cos(r21856, r21831, MPFR_RNDN);
        mpfr_sub(r21857, r21854, r21856, MPFR_RNDN);
        mpfr_div(r21858, r21857, r21831, MPFR_RNDN);
        mpfr_mul(r21859, r21855, r21858, MPFR_RNDN);
        if (mpfr_get_si(r21843, MPFR_RNDN)) { mpfr_set(r21860, r21853, MPFR_RNDN); } else { mpfr_set(r21860, r21859, MPFR_RNDN); };
        if (mpfr_get_si(r21833, MPFR_RNDN)) { mpfr_set(r21861, r21841, MPFR_RNDN); } else { mpfr_set(r21861, r21860, MPFR_RNDN); };
        return mpfr_get_d(r21861, MPFR_RNDN);
}

