#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 r21122 = x;
        float r21123 = eps;
        float r21124 = r21122 + r21123;
        float r21125 = cos(r21124);
        float r21126 = cos(r21122);
        float r21127 = r21125 - r21126;
        return r21127;
}

double f_id(double x, double eps) {
        double r21128 = x;
        double r21129 = eps;
        double r21130 = r21128 + r21129;
        double r21131 = cos(r21130);
        double r21132 = cos(r21128);
        double r21133 = r21131 - r21132;
        return r21133;
}


double f_of(float x, float eps) {
        float r21134 = x;
        float r21135 = cos(r21134);
        float r21136 = eps;
        float r21137 = cos(r21136);
        float r21138 = r21135 * r21137;
        float r21139 = sin(r21134);
        float r21140 = sin(r21136);
        float r21141 = r21139 * r21140;
        float r21142 = r21138 - r21141;
        float r21143 = r21142 - r21135;
        float r21144 = -0.009382753690186152;
        bool r21145 = r21143 <= r21144;
        float r21146 = 0.025374787891692296;
        bool r21147 = r21143 <= r21146;
        float r21148 = -2;
        float r21149 = 2;
        float r21150 = r21136 / r21149;
        float r21151 = sin(r21150);
        float r21152 = r21134 + r21134;
        float r21153 = r21136 + r21152;
        float r21154 = r21153 / r21149;
        float r21155 = sin(r21154);
        float r21156 = r21151 * r21155;
        float r21157 = r21148 * r21156;
        float r21158 = r21141 + r21135;
        float r21159 = r21138 - r21158;
        float r21160 = r21147 ? r21157 : r21159;
        float r21161 = r21145 ? r21143 : r21160;
        return r21161;
}

double f_od(double x, double eps) {
        double r21162 = x;
        double r21163 = cos(r21162);
        double r21164 = eps;
        double r21165 = cos(r21164);
        double r21166 = r21163 * r21165;
        double r21167 = sin(r21162);
        double r21168 = sin(r21164);
        double r21169 = r21167 * r21168;
        double r21170 = r21166 - r21169;
        double r21171 = r21170 - r21163;
        double r21172 = -0.009382753690186152;
        bool r21173 = r21171 <= r21172;
        double r21174 = 0.025374787891692296;
        bool r21175 = r21171 <= r21174;
        double r21176 = -2;
        double r21177 = 2;
        double r21178 = r21164 / r21177;
        double r21179 = sin(r21178);
        double r21180 = r21162 + r21162;
        double r21181 = r21164 + r21180;
        double r21182 = r21181 / r21177;
        double r21183 = sin(r21182);
        double r21184 = r21179 * r21183;
        double r21185 = r21176 * r21184;
        double r21186 = r21169 + r21163;
        double r21187 = r21166 - r21186;
        double r21188 = r21175 ? r21185 : r21187;
        double r21189 = r21173 ? r21171 : r21188;
        return r21189;
}

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 r21190, r21191, r21192, r21193, r21194, r21195;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2448);
        mpfr_init(r21190);
        mpfr_init(r21191);
        mpfr_init(r21192);
        mpfr_init(r21193);
        mpfr_init(r21194);
        mpfr_init(r21195);
}

double f_im(double x, double eps) {
        mpfr_set_d(r21190, x, MPFR_RNDN);
        mpfr_set_d(r21191, eps, MPFR_RNDN);
        mpfr_add(r21192, r21190, r21191, MPFR_RNDN);
        mpfr_cos(r21193, r21192, MPFR_RNDN);
        mpfr_cos(r21194, r21190, MPFR_RNDN);
        mpfr_sub(r21195, r21193, r21194, MPFR_RNDN);
        return mpfr_get_d(r21195, MPFR_RNDN);
}

static mpfr_t r21196, r21197, r21198, r21199, r21200, r21201, r21202, r21203, r21204, r21205, r21206, r21207, r21208, r21209, r21210, r21211, r21212, r21213, r21214, r21215, r21216, r21217, r21218, r21219, r21220, r21221, r21222, r21223;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2448);
        mpfr_init(r21196);
        mpfr_init(r21197);
        mpfr_init(r21198);
        mpfr_init(r21199);
        mpfr_init(r21200);
        mpfr_init(r21201);
        mpfr_init(r21202);
        mpfr_init(r21203);
        mpfr_init(r21204);
        mpfr_init(r21205);
        mpfr_init_set_str(r21206, "-0.009382753690186152", 10, MPFR_RNDN);
        mpfr_init(r21207);
        mpfr_init_set_str(r21208, "0.025374787891692296", 10, MPFR_RNDN);
        mpfr_init(r21209);
        mpfr_init_set_str(r21210, "-2", 10, MPFR_RNDN);
        mpfr_init_set_str(r21211, "2", 10, MPFR_RNDN);
        mpfr_init(r21212);
        mpfr_init(r21213);
        mpfr_init(r21214);
        mpfr_init(r21215);
        mpfr_init(r21216);
        mpfr_init(r21217);
        mpfr_init(r21218);
        mpfr_init(r21219);
        mpfr_init(r21220);
        mpfr_init(r21221);
        mpfr_init(r21222);
        mpfr_init(r21223);
}

double f_fm(double x, double eps) {
        mpfr_set_d(r21196, x, MPFR_RNDN);
        mpfr_cos(r21197, r21196, MPFR_RNDN);
        mpfr_set_d(r21198, eps, MPFR_RNDN);
        mpfr_cos(r21199, r21198, MPFR_RNDN);
        mpfr_mul(r21200, r21197, r21199, MPFR_RNDN);
        mpfr_sin(r21201, r21196, MPFR_RNDN);
        mpfr_sin(r21202, r21198, MPFR_RNDN);
        mpfr_mul(r21203, r21201, r21202, MPFR_RNDN);
        mpfr_sub(r21204, r21200, r21203, MPFR_RNDN);
        mpfr_sub(r21205, r21204, r21197, MPFR_RNDN);
        ;
        mpfr_set_si(r21207, mpfr_cmp(r21205, r21206) <= 0, MPFR_RNDN);
        ;
        mpfr_set_si(r21209, mpfr_cmp(r21205, r21208) <= 0, MPFR_RNDN);
        ;
        ;
        mpfr_div(r21212, r21198, r21211, MPFR_RNDN);
        mpfr_sin(r21213, r21212, MPFR_RNDN);
        mpfr_add(r21214, r21196, r21196, MPFR_RNDN);
        mpfr_add(r21215, r21198, r21214, MPFR_RNDN);
        mpfr_div(r21216, r21215, r21211, MPFR_RNDN);
        mpfr_sin(r21217, r21216, MPFR_RNDN);
        mpfr_mul(r21218, r21213, r21217, MPFR_RNDN);
        mpfr_mul(r21219, r21210, r21218, MPFR_RNDN);
        mpfr_add(r21220, r21203, r21197, MPFR_RNDN);
        mpfr_sub(r21221, r21200, r21220, MPFR_RNDN);
        if (mpfr_get_si(r21209, MPFR_RNDN)) { mpfr_set(r21222, r21219, MPFR_RNDN); } else { mpfr_set(r21222, r21221, MPFR_RNDN); };
        if (mpfr_get_si(r21207, MPFR_RNDN)) { mpfr_set(r21223, r21205, MPFR_RNDN); } else { mpfr_set(r21223, r21222, MPFR_RNDN); };
        return mpfr_get_d(r21223, MPFR_RNDN);
}

static mpfr_t r21224, r21225, r21226, r21227, r21228, r21229, r21230, r21231, r21232, r21233, r21234, r21235, r21236, r21237, r21238, r21239, r21240, r21241, r21242, r21243, r21244, r21245, r21246, r21247, r21248, r21249, r21250, r21251;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2448);
        mpfr_init(r21224);
        mpfr_init(r21225);
        mpfr_init(r21226);
        mpfr_init(r21227);
        mpfr_init(r21228);
        mpfr_init(r21229);
        mpfr_init(r21230);
        mpfr_init(r21231);
        mpfr_init(r21232);
        mpfr_init(r21233);
        mpfr_init_set_str(r21234, "-0.009382753690186152", 10, MPFR_RNDN);
        mpfr_init(r21235);
        mpfr_init_set_str(r21236, "0.025374787891692296", 10, MPFR_RNDN);
        mpfr_init(r21237);
        mpfr_init_set_str(r21238, "-2", 10, MPFR_RNDN);
        mpfr_init_set_str(r21239, "2", 10, MPFR_RNDN);
        mpfr_init(r21240);
        mpfr_init(r21241);
        mpfr_init(r21242);
        mpfr_init(r21243);
        mpfr_init(r21244);
        mpfr_init(r21245);
        mpfr_init(r21246);
        mpfr_init(r21247);
        mpfr_init(r21248);
        mpfr_init(r21249);
        mpfr_init(r21250);
        mpfr_init(r21251);
}

double f_dm(double x, double eps) {
        mpfr_set_d(r21224, x, MPFR_RNDN);
        mpfr_cos(r21225, r21224, MPFR_RNDN);
        mpfr_set_d(r21226, eps, MPFR_RNDN);
        mpfr_cos(r21227, r21226, MPFR_RNDN);
        mpfr_mul(r21228, r21225, r21227, MPFR_RNDN);
        mpfr_sin(r21229, r21224, MPFR_RNDN);
        mpfr_sin(r21230, r21226, MPFR_RNDN);
        mpfr_mul(r21231, r21229, r21230, MPFR_RNDN);
        mpfr_sub(r21232, r21228, r21231, MPFR_RNDN);
        mpfr_sub(r21233, r21232, r21225, MPFR_RNDN);
        ;
        mpfr_set_si(r21235, mpfr_cmp(r21233, r21234) <= 0, MPFR_RNDN);
        ;
        mpfr_set_si(r21237, mpfr_cmp(r21233, r21236) <= 0, MPFR_RNDN);
        ;
        ;
        mpfr_div(r21240, r21226, r21239, MPFR_RNDN);
        mpfr_sin(r21241, r21240, MPFR_RNDN);
        mpfr_add(r21242, r21224, r21224, MPFR_RNDN);
        mpfr_add(r21243, r21226, r21242, MPFR_RNDN);
        mpfr_div(r21244, r21243, r21239, MPFR_RNDN);
        mpfr_sin(r21245, r21244, MPFR_RNDN);
        mpfr_mul(r21246, r21241, r21245, MPFR_RNDN);
        mpfr_mul(r21247, r21238, r21246, MPFR_RNDN);
        mpfr_add(r21248, r21231, r21225, MPFR_RNDN);
        mpfr_sub(r21249, r21228, r21248, MPFR_RNDN);
        if (mpfr_get_si(r21237, MPFR_RNDN)) { mpfr_set(r21250, r21247, MPFR_RNDN); } else { mpfr_set(r21250, r21249, MPFR_RNDN); };
        if (mpfr_get_si(r21235, MPFR_RNDN)) { mpfr_set(r21251, r21233, MPFR_RNDN); } else { mpfr_set(r21251, r21250, MPFR_RNDN); };
        return mpfr_get_d(r21251, MPFR_RNDN);
}