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

char *name = "2cos (problem 3.3.5)";

double f_if(float x, float eps) {
        float r21132 = x;
        float r21133 = eps;
        float r21134 = r21132 + r21133;
        float r21135 = cos(r21134);
        float r21136 = cos(r21132);
        float r21137 = r21135 - r21136;
        return r21137;
}

double f_id(double x, double eps) {
        double r21138 = x;
        double r21139 = eps;
        double r21140 = r21138 + r21139;
        double r21141 = cos(r21140);
        double r21142 = cos(r21138);
        double r21143 = r21141 - r21142;
        return r21143;
}


double f_of(float x, float eps) {
        float r21144 = eps;
        float r21145 = -0.18418832849929617;
        bool r21146 = r21144 <= r21145;
        float r21147 = x;
        float r21148 = cos(r21147);
        float r21149 = cos(r21144);
        float r21150 = r21148 * r21149;
        float r21151 = sin(r21147);
        float r21152 = sin(r21144);
        float r21153 = r21151 * r21152;
        float r21154 = r21150 - r21153;
        float r21155 = r21154 - r21148;
        float r21156 = 1.3414967448909493e-08;
        bool r21157 = r21144 <= r21156;
        float r21158 = -2;
        float r21159 = 2;
        float r21160 = r21144 / r21159;
        float r21161 = sin(r21160);
        float r21162 = r21147 + r21147;
        float r21163 = r21144 + r21162;
        float r21164 = r21163 / r21159;
        float r21165 = sin(r21164);
        float r21166 = r21161 * r21165;
        float r21167 = r21158 * r21166;
        float r21168 = r21157 ? r21167 : r21155;
        float r21169 = r21146 ? r21155 : r21168;
        return r21169;
}

double f_od(double x, double eps) {
        double r21170 = eps;
        double r21171 = -0.18418832849929617;
        bool r21172 = r21170 <= r21171;
        double r21173 = x;
        double r21174 = cos(r21173);
        double r21175 = cos(r21170);
        double r21176 = r21174 * r21175;
        double r21177 = sin(r21173);
        double r21178 = sin(r21170);
        double r21179 = r21177 * r21178;
        double r21180 = r21176 - r21179;
        double r21181 = r21180 - r21174;
        double r21182 = 1.3414967448909493e-08;
        bool r21183 = r21170 <= r21182;
        double r21184 = -2;
        double r21185 = 2;
        double r21186 = r21170 / r21185;
        double r21187 = sin(r21186);
        double r21188 = r21173 + r21173;
        double r21189 = r21170 + r21188;
        double r21190 = r21189 / r21185;
        double r21191 = sin(r21190);
        double r21192 = r21187 * r21191;
        double r21193 = r21184 * r21192;
        double r21194 = r21183 ? r21193 : r21181;
        double r21195 = r21172 ? r21181 : r21194;
        return r21195;
}

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 r21196, r21197, r21198, r21199, r21200, r21201;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2448);
        mpfr_init(r21196);
        mpfr_init(r21197);
        mpfr_init(r21198);
        mpfr_init(r21199);
        mpfr_init(r21200);
        mpfr_init(r21201);
}

double f_im(double x, double eps) {
        mpfr_set_d(r21196, x, MPFR_RNDN);
        mpfr_set_d(r21197, eps, MPFR_RNDN);
        mpfr_add(r21198, r21196, r21197, MPFR_RNDN);
        mpfr_cos(r21199, r21198, MPFR_RNDN);
        mpfr_cos(r21200, r21196, MPFR_RNDN);
        mpfr_sub(r21201, r21199, r21200, MPFR_RNDN);
        return mpfr_get_d(r21201, MPFR_RNDN);
}

static mpfr_t r21202, r21203, r21204, r21205, r21206, r21207, r21208, r21209, r21210, r21211, r21212, r21213, r21214, r21215, r21216, r21217, r21218, r21219, r21220, r21221, r21222, r21223, r21224, r21225, r21226, r21227;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2448);
        mpfr_init(r21202);
        mpfr_init_set_str(r21203, "-0.18418832849929617", 10, MPFR_RNDN);
        mpfr_init(r21204);
        mpfr_init(r21205);
        mpfr_init(r21206);
        mpfr_init(r21207);
        mpfr_init(r21208);
        mpfr_init(r21209);
        mpfr_init(r21210);
        mpfr_init(r21211);
        mpfr_init(r21212);
        mpfr_init(r21213);
        mpfr_init_set_str(r21214, "1.3414967448909493e-08", 10, MPFR_RNDN);
        mpfr_init(r21215);
        mpfr_init_set_str(r21216, "-2", 10, MPFR_RNDN);
        mpfr_init_set_str(r21217, "2", 10, MPFR_RNDN);
        mpfr_init(r21218);
        mpfr_init(r21219);
        mpfr_init(r21220);
        mpfr_init(r21221);
        mpfr_init(r21222);
        mpfr_init(r21223);
        mpfr_init(r21224);
        mpfr_init(r21225);
        mpfr_init(r21226);
        mpfr_init(r21227);
}

double f_fm(double x, double eps) {
        mpfr_set_d(r21202, eps, MPFR_RNDN);
        ;
        mpfr_set_si(r21204, mpfr_cmp(r21202, r21203) <= 0, MPFR_RNDN);
        mpfr_set_d(r21205, x, MPFR_RNDN);
        mpfr_cos(r21206, r21205, MPFR_RNDN);
        mpfr_cos(r21207, r21202, MPFR_RNDN);
        mpfr_mul(r21208, r21206, r21207, MPFR_RNDN);
        mpfr_sin(r21209, r21205, MPFR_RNDN);
        mpfr_sin(r21210, r21202, MPFR_RNDN);
        mpfr_mul(r21211, r21209, r21210, MPFR_RNDN);
        mpfr_sub(r21212, r21208, r21211, MPFR_RNDN);
        mpfr_sub(r21213, r21212, r21206, MPFR_RNDN);
        ;
        mpfr_set_si(r21215, mpfr_cmp(r21202, r21214) <= 0, MPFR_RNDN);
        ;
        ;
        mpfr_div(r21218, r21202, r21217, MPFR_RNDN);
        mpfr_sin(r21219, r21218, MPFR_RNDN);
        mpfr_add(r21220, r21205, r21205, MPFR_RNDN);
        mpfr_add(r21221, r21202, r21220, MPFR_RNDN);
        mpfr_div(r21222, r21221, r21217, MPFR_RNDN);
        mpfr_sin(r21223, r21222, MPFR_RNDN);
        mpfr_mul(r21224, r21219, r21223, MPFR_RNDN);
        mpfr_mul(r21225, r21216, r21224, MPFR_RNDN);
        if (mpfr_get_si(r21215, MPFR_RNDN)) { mpfr_set(r21226, r21225, MPFR_RNDN); } else { mpfr_set(r21226, r21213, MPFR_RNDN); };
        if (mpfr_get_si(r21204, MPFR_RNDN)) { mpfr_set(r21227, r21213, MPFR_RNDN); } else { mpfr_set(r21227, r21226, MPFR_RNDN); };
        return mpfr_get_d(r21227, MPFR_RNDN);
}

static mpfr_t r21228, r21229, r21230, r21231, r21232, r21233, r21234, r21235, r21236, r21237, r21238, r21239, r21240, r21241, r21242, r21243, r21244, r21245, r21246, r21247, r21248, r21249, r21250, r21251, r21252, r21253;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2448);
        mpfr_init(r21228);
        mpfr_init_set_str(r21229, "-0.18418832849929617", 10, MPFR_RNDN);
        mpfr_init(r21230);
        mpfr_init(r21231);
        mpfr_init(r21232);
        mpfr_init(r21233);
        mpfr_init(r21234);
        mpfr_init(r21235);
        mpfr_init(r21236);
        mpfr_init(r21237);
        mpfr_init(r21238);
        mpfr_init(r21239);
        mpfr_init_set_str(r21240, "1.3414967448909493e-08", 10, MPFR_RNDN);
        mpfr_init(r21241);
        mpfr_init_set_str(r21242, "-2", 10, MPFR_RNDN);
        mpfr_init_set_str(r21243, "2", 10, MPFR_RNDN);
        mpfr_init(r21244);
        mpfr_init(r21245);
        mpfr_init(r21246);
        mpfr_init(r21247);
        mpfr_init(r21248);
        mpfr_init(r21249);
        mpfr_init(r21250);
        mpfr_init(r21251);
        mpfr_init(r21252);
        mpfr_init(r21253);
}

double f_dm(double x, double eps) {
        mpfr_set_d(r21228, eps, MPFR_RNDN);
        ;
        mpfr_set_si(r21230, mpfr_cmp(r21228, r21229) <= 0, MPFR_RNDN);
        mpfr_set_d(r21231, x, MPFR_RNDN);
        mpfr_cos(r21232, r21231, MPFR_RNDN);
        mpfr_cos(r21233, r21228, MPFR_RNDN);
        mpfr_mul(r21234, r21232, r21233, MPFR_RNDN);
        mpfr_sin(r21235, r21231, MPFR_RNDN);
        mpfr_sin(r21236, r21228, MPFR_RNDN);
        mpfr_mul(r21237, r21235, r21236, MPFR_RNDN);
        mpfr_sub(r21238, r21234, r21237, MPFR_RNDN);
        mpfr_sub(r21239, r21238, r21232, MPFR_RNDN);
        ;
        mpfr_set_si(r21241, mpfr_cmp(r21228, r21240) <= 0, MPFR_RNDN);
        ;
        ;
        mpfr_div(r21244, r21228, r21243, MPFR_RNDN);
        mpfr_sin(r21245, r21244, MPFR_RNDN);
        mpfr_add(r21246, r21231, r21231, MPFR_RNDN);
        mpfr_add(r21247, r21228, r21246, MPFR_RNDN);
        mpfr_div(r21248, r21247, r21243, MPFR_RNDN);
        mpfr_sin(r21249, r21248, MPFR_RNDN);
        mpfr_mul(r21250, r21245, r21249, MPFR_RNDN);
        mpfr_mul(r21251, r21242, r21250, MPFR_RNDN);
        if (mpfr_get_si(r21241, MPFR_RNDN)) { mpfr_set(r21252, r21251, MPFR_RNDN); } else { mpfr_set(r21252, r21239, MPFR_RNDN); };
        if (mpfr_get_si(r21230, MPFR_RNDN)) { mpfr_set(r21253, r21239, MPFR_RNDN); } else { mpfr_set(r21253, r21252, MPFR_RNDN); };
        return mpfr_get_d(r21253, MPFR_RNDN);
}