#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 r21692 = 1;
        float r21693 = x;
        float r21694 = cos(r21693);
        float r21695 = r21692 - r21694;
        float r21696 = r21693 * r21693;
        float r21697 = r21695 / r21696;
        return r21697;
}

double f_id(double x) {
        double r21698 = 1;
        double r21699 = x;
        double r21700 = cos(r21699);
        double r21701 = r21698 - r21700;
        double r21702 = r21699 * r21699;
        double r21703 = r21701 / r21702;
        return r21703;
}


double f_of(float x) {
        float r21704 = x;
        float r21705 = -0.011697034210601627;
        bool r21706 = r21704 <= r21705;
        float r21707 = 2;
        float r21708 = r21704 / r21707;
        float r21709 = tan(r21708);
        float r21710 = sin(r21704);
        float r21711 = r21709 * r21710;
        float r21712 = sqrt(r21711);
        float r21713 = r21712 / r21704;
        float r21714 = r21713 * r21713;
        float r21715 = 0.03221387480965043;
        bool r21716 = r21704 <= r21715;
        float r21717 = 1/2;
        float r21718 = 1/720;
        float r21719 = 4;
        float r21720 = pow(r21704, r21719);
        float r21721 = r21718 * r21720;
        float r21722 = r21717 + r21721;
        float r21723 = 1/24;
        float r21724 = pow(r21704, r21707);
        float r21725 = r21723 * r21724;
        float r21726 = r21722 - r21725;
        float r21727 = 1;
        float r21728 = r21727 / r21704;
        float r21729 = cos(r21704);
        float r21730 = r21727 - r21729;
        float r21731 = r21730 / r21704;
        float r21732 = r21728 * r21731;
        float r21733 = r21716 ? r21726 : r21732;
        float r21734 = r21706 ? r21714 : r21733;
        return r21734;
}

double f_od(double x) {
        double r21735 = x;
        double r21736 = -0.011697034210601627;
        bool r21737 = r21735 <= r21736;
        double r21738 = 2;
        double r21739 = r21735 / r21738;
        double r21740 = tan(r21739);
        double r21741 = sin(r21735);
        double r21742 = r21740 * r21741;
        double r21743 = sqrt(r21742);
        double r21744 = r21743 / r21735;
        double r21745 = r21744 * r21744;
        double r21746 = 0.03221387480965043;
        bool r21747 = r21735 <= r21746;
        double r21748 = 1/2;
        double r21749 = 1/720;
        double r21750 = 4;
        double r21751 = pow(r21735, r21750);
        double r21752 = r21749 * r21751;
        double r21753 = r21748 + r21752;
        double r21754 = 1/24;
        double r21755 = pow(r21735, r21738);
        double r21756 = r21754 * r21755;
        double r21757 = r21753 - r21756;
        double r21758 = 1;
        double r21759 = r21758 / r21735;
        double r21760 = cos(r21735);
        double r21761 = r21758 - r21760;
        double r21762 = r21761 / r21735;
        double r21763 = r21759 * r21762;
        double r21764 = r21747 ? r21757 : r21763;
        double r21765 = r21737 ? r21745 : r21764;
        return r21765;
}

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 r21766, r21767, r21768, r21769, r21770, r21771;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2448);
        mpfr_init_set_str(r21766, "1", 10, MPFR_RNDN);
        mpfr_init(r21767);
        mpfr_init(r21768);
        mpfr_init(r21769);
        mpfr_init(r21770);
        mpfr_init(r21771);
}

double f_im(double x) {
        ;
        mpfr_set_d(r21767, x, MPFR_RNDN);
        mpfr_cos(r21768, r21767, MPFR_RNDN);
        mpfr_sub(r21769, r21766, r21768, MPFR_RNDN);
        mpfr_mul(r21770, r21767, r21767, MPFR_RNDN);
        mpfr_div(r21771, r21769, r21770, MPFR_RNDN);
        return mpfr_get_d(r21771, MPFR_RNDN);
}

static mpfr_t r21772, r21773, r21774, r21775, r21776, r21777, r21778, r21779, r21780, r21781, r21782, r21783, r21784, r21785, r21786, r21787, r21788, r21789, r21790, r21791, r21792, r21793, r21794, r21795, r21796, r21797, r21798, r21799, r21800, r21801, r21802;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2448);
        mpfr_init(r21772);
        mpfr_init_set_str(r21773, "-0.011697034210601627", 10, MPFR_RNDN);
        mpfr_init(r21774);
        mpfr_init_set_str(r21775, "2", 10, MPFR_RNDN);
        mpfr_init(r21776);
        mpfr_init(r21777);
        mpfr_init(r21778);
        mpfr_init(r21779);
        mpfr_init(r21780);
        mpfr_init(r21781);
        mpfr_init(r21782);
        mpfr_init_set_str(r21783, "0.03221387480965043", 10, MPFR_RNDN);
        mpfr_init(r21784);
        mpfr_init_set_str(r21785, "1/2", 10, MPFR_RNDN);
        mpfr_init_set_str(r21786, "1/720", 10, MPFR_RNDN);
        mpfr_init_set_str(r21787, "4", 10, MPFR_RNDN);
        mpfr_init(r21788);
        mpfr_init(r21789);
        mpfr_init(r21790);
        mpfr_init_set_str(r21791, "1/24", 10, MPFR_RNDN);
        mpfr_init(r21792);
        mpfr_init(r21793);
        mpfr_init(r21794);
        mpfr_init_set_str(r21795, "1", 10, MPFR_RNDN);
        mpfr_init(r21796);
        mpfr_init(r21797);
        mpfr_init(r21798);
        mpfr_init(r21799);
        mpfr_init(r21800);
        mpfr_init(r21801);
        mpfr_init(r21802);
}

double f_fm(double x) {
        mpfr_set_d(r21772, x, MPFR_RNDN);
        ;
        mpfr_set_si(r21774, mpfr_cmp(r21772, r21773) <= 0, MPFR_RNDN);
        ;
        mpfr_div(r21776, r21772, r21775, MPFR_RNDN);
        mpfr_tan(r21777, r21776, MPFR_RNDN);
        mpfr_sin(r21778, r21772, MPFR_RNDN);
        mpfr_mul(r21779, r21777, r21778, MPFR_RNDN);
        mpfr_sqrt(r21780, r21779, MPFR_RNDN);
        mpfr_div(r21781, r21780, r21772, MPFR_RNDN);
        mpfr_mul(r21782, r21781, r21781, MPFR_RNDN);
        ;
        mpfr_set_si(r21784, mpfr_cmp(r21772, r21783) <= 0, MPFR_RNDN);
        ;
        ;
        ;
        mpfr_pow(r21788, r21772, r21787, MPFR_RNDN);
        mpfr_mul(r21789, r21786, r21788, MPFR_RNDN);
        mpfr_add(r21790, r21785, r21789, MPFR_RNDN);
        ;
        mpfr_pow(r21792, r21772, r21775, MPFR_RNDN);
        mpfr_mul(r21793, r21791, r21792, MPFR_RNDN);
        mpfr_sub(r21794, r21790, r21793, MPFR_RNDN);
        ;
        mpfr_div(r21796, r21795, r21772, MPFR_RNDN);
        mpfr_cos(r21797, r21772, MPFR_RNDN);
        mpfr_sub(r21798, r21795, r21797, MPFR_RNDN);
        mpfr_div(r21799, r21798, r21772, MPFR_RNDN);
        mpfr_mul(r21800, r21796, r21799, MPFR_RNDN);
        if (mpfr_get_si(r21784, MPFR_RNDN)) { mpfr_set(r21801, r21794, MPFR_RNDN); } else { mpfr_set(r21801, r21800, MPFR_RNDN); };
        if (mpfr_get_si(r21774, MPFR_RNDN)) { mpfr_set(r21802, r21782, MPFR_RNDN); } else { mpfr_set(r21802, r21801, MPFR_RNDN); };
        return mpfr_get_d(r21802, MPFR_RNDN);
}

static mpfr_t 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, r21831, r21832, r21833;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2448);
        mpfr_init(r21803);
        mpfr_init_set_str(r21804, "-0.011697034210601627", 10, MPFR_RNDN);
        mpfr_init(r21805);
        mpfr_init_set_str(r21806, "2", 10, MPFR_RNDN);
        mpfr_init(r21807);
        mpfr_init(r21808);
        mpfr_init(r21809);
        mpfr_init(r21810);
        mpfr_init(r21811);
        mpfr_init(r21812);
        mpfr_init(r21813);
        mpfr_init_set_str(r21814, "0.03221387480965043", 10, MPFR_RNDN);
        mpfr_init(r21815);
        mpfr_init_set_str(r21816, "1/2", 10, MPFR_RNDN);
        mpfr_init_set_str(r21817, "1/720", 10, MPFR_RNDN);
        mpfr_init_set_str(r21818, "4", 10, MPFR_RNDN);
        mpfr_init(r21819);
        mpfr_init(r21820);
        mpfr_init(r21821);
        mpfr_init_set_str(r21822, "1/24", 10, MPFR_RNDN);
        mpfr_init(r21823);
        mpfr_init(r21824);
        mpfr_init(r21825);
        mpfr_init_set_str(r21826, "1", 10, MPFR_RNDN);
        mpfr_init(r21827);
        mpfr_init(r21828);
        mpfr_init(r21829);
        mpfr_init(r21830);
        mpfr_init(r21831);
        mpfr_init(r21832);
        mpfr_init(r21833);
}

double f_dm(double x) {
        mpfr_set_d(r21803, x, MPFR_RNDN);
        ;
        mpfr_set_si(r21805, mpfr_cmp(r21803, r21804) <= 0, MPFR_RNDN);
        ;
        mpfr_div(r21807, r21803, r21806, MPFR_RNDN);
        mpfr_tan(r21808, r21807, MPFR_RNDN);
        mpfr_sin(r21809, r21803, MPFR_RNDN);
        mpfr_mul(r21810, r21808, r21809, MPFR_RNDN);
        mpfr_sqrt(r21811, r21810, MPFR_RNDN);
        mpfr_div(r21812, r21811, r21803, MPFR_RNDN);
        mpfr_mul(r21813, r21812, r21812, MPFR_RNDN);
        ;
        mpfr_set_si(r21815, mpfr_cmp(r21803, r21814) <= 0, MPFR_RNDN);
        ;
        ;
        ;
        mpfr_pow(r21819, r21803, r21818, MPFR_RNDN);
        mpfr_mul(r21820, r21817, r21819, MPFR_RNDN);
        mpfr_add(r21821, r21816, r21820, MPFR_RNDN);
        ;
        mpfr_pow(r21823, r21803, r21806, MPFR_RNDN);
        mpfr_mul(r21824, r21822, r21823, MPFR_RNDN);
        mpfr_sub(r21825, r21821, r21824, MPFR_RNDN);
        ;
        mpfr_div(r21827, r21826, r21803, MPFR_RNDN);
        mpfr_cos(r21828, r21803, MPFR_RNDN);
        mpfr_sub(r21829, r21826, r21828, MPFR_RNDN);
        mpfr_div(r21830, r21829, r21803, MPFR_RNDN);
        mpfr_mul(r21831, r21827, r21830, MPFR_RNDN);
        if (mpfr_get_si(r21815, MPFR_RNDN)) { mpfr_set(r21832, r21825, MPFR_RNDN); } else { mpfr_set(r21832, r21831, MPFR_RNDN); };
        if (mpfr_get_si(r21805, MPFR_RNDN)) { mpfr_set(r21833, r21813, MPFR_RNDN); } else { mpfr_set(r21833, r21832, MPFR_RNDN); };
        return mpfr_get_d(r21833, MPFR_RNDN);
}