#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 r21800 = 1;
        float r21801 = x;
        float r21802 = cos(r21801);
        float r21803 = r21800 - r21802;
        float r21804 = r21801 * r21801;
        float r21805 = r21803 / r21804;
        return r21805;
}

double f_id(double x) {
        double r21806 = 1;
        double r21807 = x;
        double r21808 = cos(r21807);
        double r21809 = r21806 - r21808;
        double r21810 = r21807 * r21807;
        double r21811 = r21809 / r21810;
        return r21811;
}


double f_of(float x) {
        float r21812 = x;
        float r21813 = -0.012320009922571847;
        bool r21814 = r21812 <= r21813;
        float r21815 = 2;
        float r21816 = r21812 / r21815;
        float r21817 = tan(r21816);
        float r21818 = sin(r21812);
        float r21819 = r21817 * r21818;
        float r21820 = sqrt(r21819);
        float r21821 = r21820 / r21812;
        float r21822 = r21821 * r21821;
        float r21823 = 0.009000526445145561;
        bool r21824 = r21812 <= r21823;
        float r21825 = 1/2;
        float r21826 = 1/720;
        float r21827 = 4;
        float r21828 = pow(r21812, r21827);
        float r21829 = r21826 * r21828;
        float r21830 = r21825 + r21829;
        float r21831 = 1/24;
        float r21832 = pow(r21812, r21815);
        float r21833 = r21831 * r21832;
        float r21834 = r21830 - r21833;
        float r21835 = r21824 ? r21834 : r21822;
        float r21836 = r21814 ? r21822 : r21835;
        return r21836;
}

double f_od(double x) {
        double r21837 = x;
        double r21838 = -0.012320009922571847;
        bool r21839 = r21837 <= r21838;
        double r21840 = 2;
        double r21841 = r21837 / r21840;
        double r21842 = tan(r21841);
        double r21843 = sin(r21837);
        double r21844 = r21842 * r21843;
        double r21845 = sqrt(r21844);
        double r21846 = r21845 / r21837;
        double r21847 = r21846 * r21846;
        double r21848 = 0.009000526445145561;
        bool r21849 = r21837 <= r21848;
        double r21850 = 1/2;
        double r21851 = 1/720;
        double r21852 = 4;
        double r21853 = pow(r21837, r21852);
        double r21854 = r21851 * r21853;
        double r21855 = r21850 + r21854;
        double r21856 = 1/24;
        double r21857 = pow(r21837, r21840);
        double r21858 = r21856 * r21857;
        double r21859 = r21855 - r21858;
        double r21860 = r21849 ? r21859 : r21847;
        double r21861 = r21839 ? r21847 : r21860;
        return r21861;
}

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 r21862, r21863, r21864, r21865, r21866, r21867;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2448);
        mpfr_init_set_str(r21862, "1", 10, MPFR_RNDN);
        mpfr_init(r21863);
        mpfr_init(r21864);
        mpfr_init(r21865);
        mpfr_init(r21866);
        mpfr_init(r21867);
}

double f_im(double x) {
        ;
        mpfr_set_d(r21863, x, MPFR_RNDN);
        mpfr_cos(r21864, r21863, MPFR_RNDN);
        mpfr_sub(r21865, r21862, r21864, MPFR_RNDN);
        mpfr_mul(r21866, r21863, r21863, MPFR_RNDN);
        mpfr_div(r21867, r21865, r21866, MPFR_RNDN);
        return mpfr_get_d(r21867, MPFR_RNDN);
}

static mpfr_t r21868, r21869, r21870, r21871, r21872, r21873, r21874, r21875, r21876, r21877, r21878, r21879, r21880, r21881, r21882, r21883, r21884, r21885, r21886, r21887, r21888, r21889, r21890, r21891, r21892;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2448);
        mpfr_init(r21868);
        mpfr_init_set_str(r21869, "-0.012320009922571847", 10, MPFR_RNDN);
        mpfr_init(r21870);
        mpfr_init_set_str(r21871, "2", 10, MPFR_RNDN);
        mpfr_init(r21872);
        mpfr_init(r21873);
        mpfr_init(r21874);
        mpfr_init(r21875);
        mpfr_init(r21876);
        mpfr_init(r21877);
        mpfr_init(r21878);
        mpfr_init_set_str(r21879, "0.009000526445145561", 10, MPFR_RNDN);
        mpfr_init(r21880);
        mpfr_init_set_str(r21881, "1/2", 10, MPFR_RNDN);
        mpfr_init_set_str(r21882, "1/720", 10, MPFR_RNDN);
        mpfr_init_set_str(r21883, "4", 10, MPFR_RNDN);
        mpfr_init(r21884);
        mpfr_init(r21885);
        mpfr_init(r21886);
        mpfr_init_set_str(r21887, "1/24", 10, MPFR_RNDN);
        mpfr_init(r21888);
        mpfr_init(r21889);
        mpfr_init(r21890);
        mpfr_init(r21891);
        mpfr_init(r21892);
}

double f_fm(double x) {
        mpfr_set_d(r21868, x, MPFR_RNDN);
        ;
        mpfr_set_si(r21870, mpfr_cmp(r21868, r21869) <= 0, MPFR_RNDN);
        ;
        mpfr_div(r21872, r21868, r21871, MPFR_RNDN);
        mpfr_tan(r21873, r21872, MPFR_RNDN);
        mpfr_sin(r21874, r21868, MPFR_RNDN);
        mpfr_mul(r21875, r21873, r21874, MPFR_RNDN);
        mpfr_sqrt(r21876, r21875, MPFR_RNDN);
        mpfr_div(r21877, r21876, r21868, MPFR_RNDN);
        mpfr_mul(r21878, r21877, r21877, MPFR_RNDN);
        ;
        mpfr_set_si(r21880, mpfr_cmp(r21868, r21879) <= 0, MPFR_RNDN);
        ;
        ;
        ;
        mpfr_pow(r21884, r21868, r21883, MPFR_RNDN);
        mpfr_mul(r21885, r21882, r21884, MPFR_RNDN);
        mpfr_add(r21886, r21881, r21885, MPFR_RNDN);
        ;
        mpfr_pow(r21888, r21868, r21871, MPFR_RNDN);
        mpfr_mul(r21889, r21887, r21888, MPFR_RNDN);
        mpfr_sub(r21890, r21886, r21889, MPFR_RNDN);
        if (mpfr_get_si(r21880, MPFR_RNDN)) { mpfr_set(r21891, r21890, MPFR_RNDN); } else { mpfr_set(r21891, r21878, MPFR_RNDN); };
        if (mpfr_get_si(r21870, MPFR_RNDN)) { mpfr_set(r21892, r21878, MPFR_RNDN); } else { mpfr_set(r21892, r21891, MPFR_RNDN); };
        return mpfr_get_d(r21892, MPFR_RNDN);
}

static mpfr_t r21893, r21894, r21895, r21896, r21897, r21898, r21899, r21900, r21901, r21902, r21903, r21904, r21905, r21906, r21907, r21908, r21909, r21910, r21911, r21912, r21913, r21914, r21915, r21916, r21917;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2448);
        mpfr_init(r21893);
        mpfr_init_set_str(r21894, "-0.012320009922571847", 10, MPFR_RNDN);
        mpfr_init(r21895);
        mpfr_init_set_str(r21896, "2", 10, MPFR_RNDN);
        mpfr_init(r21897);
        mpfr_init(r21898);
        mpfr_init(r21899);
        mpfr_init(r21900);
        mpfr_init(r21901);
        mpfr_init(r21902);
        mpfr_init(r21903);
        mpfr_init_set_str(r21904, "0.009000526445145561", 10, MPFR_RNDN);
        mpfr_init(r21905);
        mpfr_init_set_str(r21906, "1/2", 10, MPFR_RNDN);
        mpfr_init_set_str(r21907, "1/720", 10, MPFR_RNDN);
        mpfr_init_set_str(r21908, "4", 10, MPFR_RNDN);
        mpfr_init(r21909);
        mpfr_init(r21910);
        mpfr_init(r21911);
        mpfr_init_set_str(r21912, "1/24", 10, MPFR_RNDN);
        mpfr_init(r21913);
        mpfr_init(r21914);
        mpfr_init(r21915);
        mpfr_init(r21916);
        mpfr_init(r21917);
}

double f_dm(double x) {
        mpfr_set_d(r21893, x, MPFR_RNDN);
        ;
        mpfr_set_si(r21895, mpfr_cmp(r21893, r21894) <= 0, MPFR_RNDN);
        ;
        mpfr_div(r21897, r21893, r21896, MPFR_RNDN);
        mpfr_tan(r21898, r21897, MPFR_RNDN);
        mpfr_sin(r21899, r21893, MPFR_RNDN);
        mpfr_mul(r21900, r21898, r21899, MPFR_RNDN);
        mpfr_sqrt(r21901, r21900, MPFR_RNDN);
        mpfr_div(r21902, r21901, r21893, MPFR_RNDN);
        mpfr_mul(r21903, r21902, r21902, MPFR_RNDN);
        ;
        mpfr_set_si(r21905, mpfr_cmp(r21893, r21904) <= 0, MPFR_RNDN);
        ;
        ;
        ;
        mpfr_pow(r21909, r21893, r21908, MPFR_RNDN);
        mpfr_mul(r21910, r21907, r21909, MPFR_RNDN);
        mpfr_add(r21911, r21906, r21910, MPFR_RNDN);
        ;
        mpfr_pow(r21913, r21893, r21896, MPFR_RNDN);
        mpfr_mul(r21914, r21912, r21913, MPFR_RNDN);
        mpfr_sub(r21915, r21911, r21914, MPFR_RNDN);
        if (mpfr_get_si(r21905, MPFR_RNDN)) { mpfr_set(r21916, r21915, MPFR_RNDN); } else { mpfr_set(r21916, r21903, MPFR_RNDN); };
        if (mpfr_get_si(r21895, MPFR_RNDN)) { mpfr_set(r21917, r21903, MPFR_RNDN); } else { mpfr_set(r21917, r21916, MPFR_RNDN); };
        return mpfr_get_d(r21917, MPFR_RNDN);
}