#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 r23162 = x;
        float r23163 = eps;
        float r23164 = r23162 + r23163;
        float r23165 = cos(r23164);
        float r23166 = cos(r23162);
        float r23167 = r23165 - r23166;
        return r23167;
}

double f_id(double x, double eps) {
        double r23168 = x;
        double r23169 = eps;
        double r23170 = r23168 + r23169;
        double r23171 = cos(r23170);
        double r23172 = cos(r23168);
        double r23173 = r23171 - r23172;
        return r23173;
}


double f_of(float x, float eps) {
        float r23174 = x;
        float r23175 = eps;
        float r23176 = r23174 + r23175;
        float r23177 = r23174 + r23176;
        float r23178 = 2;
        float r23179 = r23177 / r23178;
        float r23180 = sin(r23179);
        float r23181 = r23175 / r23178;
        float r23182 = sin(r23181);
        float r23183 = r23180 * r23182;
        float r23184 = 3;
        float r23185 = pow(r23183, r23184);
        float r23186 = cbrt(r23185);
        float r23187 = -4.3407499613911197e-07;
        bool r23188 = r23186 <= r23187;
        float r23189 = cos(r23174);
        float r23190 = cos(r23175);
        float r23191 = r23189 * r23190;
        float r23192 = sin(r23174);
        float r23193 = sin(r23175);
        float r23194 = r23192 * r23193;
        float r23195 = r23194 + r23189;
        float r23196 = r23191 - r23195;
        float r23197 = 0.0007658936176756388;
        bool r23198 = r23186 <= r23197;
        float r23199 = -2;
        float r23200 = r23175 + r23174;
        float r23201 = r23174 + r23200;
        float r23202 = r23201 / r23178;
        float r23203 = sin(r23202);
        float r23204 = r23182 * r23203;
        float r23205 = cbrt(r23204);
        float r23206 = r23205 * r23205;
        float r23207 = r23206 * r23205;
        float r23208 = r23199 * r23207;
        float r23209 = r23198 ? r23208 : r23196;
        float r23210 = r23188 ? r23196 : r23209;
        return r23210;
}

double f_od(double x, double eps) {
        double r23211 = x;
        double r23212 = eps;
        double r23213 = r23211 + r23212;
        double r23214 = r23211 + r23213;
        double r23215 = 2;
        double r23216 = r23214 / r23215;
        double r23217 = sin(r23216);
        double r23218 = r23212 / r23215;
        double r23219 = sin(r23218);
        double r23220 = r23217 * r23219;
        double r23221 = 3;
        double r23222 = pow(r23220, r23221);
        double r23223 = cbrt(r23222);
        double r23224 = -4.3407499613911197e-07;
        bool r23225 = r23223 <= r23224;
        double r23226 = cos(r23211);
        double r23227 = cos(r23212);
        double r23228 = r23226 * r23227;
        double r23229 = sin(r23211);
        double r23230 = sin(r23212);
        double r23231 = r23229 * r23230;
        double r23232 = r23231 + r23226;
        double r23233 = r23228 - r23232;
        double r23234 = 0.0007658936176756388;
        bool r23235 = r23223 <= r23234;
        double r23236 = -2;
        double r23237 = r23212 + r23211;
        double r23238 = r23211 + r23237;
        double r23239 = r23238 / r23215;
        double r23240 = sin(r23239);
        double r23241 = r23219 * r23240;
        double r23242 = cbrt(r23241);
        double r23243 = r23242 * r23242;
        double r23244 = r23243 * r23242;
        double r23245 = r23236 * r23244;
        double r23246 = r23235 ? r23245 : r23233;
        double r23247 = r23225 ? r23233 : r23246;
        return r23247;
}

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 r23248, r23249, r23250, r23251, r23252, r23253;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2448);
        mpfr_init(r23248);
        mpfr_init(r23249);
        mpfr_init(r23250);
        mpfr_init(r23251);
        mpfr_init(r23252);
        mpfr_init(r23253);
}

double f_im(double x, double eps) {
        mpfr_set_d(r23248, x, MPFR_RNDN);
        mpfr_set_d(r23249, eps, MPFR_RNDN);
        mpfr_add(r23250, r23248, r23249, MPFR_RNDN);
        mpfr_cos(r23251, r23250, MPFR_RNDN);
        mpfr_cos(r23252, r23248, MPFR_RNDN);
        mpfr_sub(r23253, r23251, r23252, MPFR_RNDN);
        return mpfr_get_d(r23253, MPFR_RNDN);
}

static mpfr_t r23254, r23255, r23256, r23257, r23258, r23259, r23260, r23261, r23262, r23263, r23264, r23265, r23266, r23267, r23268, r23269, r23270, r23271, r23272, r23273, r23274, r23275, r23276, r23277, r23278, r23279, r23280, r23281, r23282, r23283, r23284, r23285, r23286, r23287, r23288, r23289, r23290;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2448);
        mpfr_init(r23254);
        mpfr_init(r23255);
        mpfr_init(r23256);
        mpfr_init(r23257);
        mpfr_init_set_str(r23258, "2", 10, MPFR_RNDN);
        mpfr_init(r23259);
        mpfr_init(r23260);
        mpfr_init(r23261);
        mpfr_init(r23262);
        mpfr_init(r23263);
        mpfr_init_set_str(r23264, "3", 10, MPFR_RNDN);
        mpfr_init(r23265);
        mpfr_init(r23266);
        mpfr_init_set_str(r23267, "-4.3407499613911197e-07", 10, MPFR_RNDN);
        mpfr_init(r23268);
        mpfr_init(r23269);
        mpfr_init(r23270);
        mpfr_init(r23271);
        mpfr_init(r23272);
        mpfr_init(r23273);
        mpfr_init(r23274);
        mpfr_init(r23275);
        mpfr_init(r23276);
        mpfr_init_set_str(r23277, "0.0007658936176756388", 10, MPFR_RNDN);
        mpfr_init(r23278);
        mpfr_init_set_str(r23279, "-2", 10, MPFR_RNDN);
        mpfr_init(r23280);
        mpfr_init(r23281);
        mpfr_init(r23282);
        mpfr_init(r23283);
        mpfr_init(r23284);
        mpfr_init(r23285);
        mpfr_init(r23286);
        mpfr_init(r23287);
        mpfr_init(r23288);
        mpfr_init(r23289);
        mpfr_init(r23290);
}

double f_fm(double x, double eps) {
        mpfr_set_d(r23254, x, MPFR_RNDN);
        mpfr_set_d(r23255, eps, MPFR_RNDN);
        mpfr_add(r23256, r23254, r23255, MPFR_RNDN);
        mpfr_add(r23257, r23254, r23256, MPFR_RNDN);
        ;
        mpfr_div(r23259, r23257, r23258, MPFR_RNDN);
        mpfr_sin(r23260, r23259, MPFR_RNDN);
        mpfr_div(r23261, r23255, r23258, MPFR_RNDN);
        mpfr_sin(r23262, r23261, MPFR_RNDN);
        mpfr_mul(r23263, r23260, r23262, MPFR_RNDN);
        ;
        mpfr_pow(r23265, r23263, r23264, MPFR_RNDN);
        mpfr_cbrt(r23266, r23265, MPFR_RNDN);
        ;
        mpfr_set_si(r23268, mpfr_cmp(r23266, r23267) <= 0, MPFR_RNDN);
        mpfr_cos(r23269, r23254, MPFR_RNDN);
        mpfr_cos(r23270, r23255, MPFR_RNDN);
        mpfr_mul(r23271, r23269, r23270, MPFR_RNDN);
        mpfr_sin(r23272, r23254, MPFR_RNDN);
        mpfr_sin(r23273, r23255, MPFR_RNDN);
        mpfr_mul(r23274, r23272, r23273, MPFR_RNDN);
        mpfr_add(r23275, r23274, r23269, MPFR_RNDN);
        mpfr_sub(r23276, r23271, r23275, MPFR_RNDN);
        ;
        mpfr_set_si(r23278, mpfr_cmp(r23266, r23277) <= 0, MPFR_RNDN);
        ;
        mpfr_add(r23280, r23255, r23254, MPFR_RNDN);
        mpfr_add(r23281, r23254, r23280, MPFR_RNDN);
        mpfr_div(r23282, r23281, r23258, MPFR_RNDN);
        mpfr_sin(r23283, r23282, MPFR_RNDN);
        mpfr_mul(r23284, r23262, r23283, MPFR_RNDN);
        mpfr_cbrt(r23285, r23284, MPFR_RNDN);
        mpfr_mul(r23286, r23285, r23285, MPFR_RNDN);
        mpfr_mul(r23287, r23286, r23285, MPFR_RNDN);
        mpfr_mul(r23288, r23279, r23287, MPFR_RNDN);
        if (mpfr_get_si(r23278, MPFR_RNDN)) { mpfr_set(r23289, r23288, MPFR_RNDN); } else { mpfr_set(r23289, r23276, MPFR_RNDN); };
        if (mpfr_get_si(r23268, MPFR_RNDN)) { mpfr_set(r23290, r23276, MPFR_RNDN); } else { mpfr_set(r23290, r23289, MPFR_RNDN); };
        return mpfr_get_d(r23290, MPFR_RNDN);
}

static mpfr_t r23291, r23292, r23293, r23294, r23295, r23296, r23297, r23298, r23299, r23300, r23301, r23302, r23303, r23304, r23305, r23306, r23307, r23308, r23309, r23310, r23311, r23312, r23313, r23314, r23315, r23316, r23317, r23318, r23319, r23320, r23321, r23322, r23323, r23324, r23325, r23326, r23327;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2448);
        mpfr_init(r23291);
        mpfr_init(r23292);
        mpfr_init(r23293);
        mpfr_init(r23294);
        mpfr_init_set_str(r23295, "2", 10, MPFR_RNDN);
        mpfr_init(r23296);
        mpfr_init(r23297);
        mpfr_init(r23298);
        mpfr_init(r23299);
        mpfr_init(r23300);
        mpfr_init_set_str(r23301, "3", 10, MPFR_RNDN);
        mpfr_init(r23302);
        mpfr_init(r23303);
        mpfr_init_set_str(r23304, "-4.3407499613911197e-07", 10, MPFR_RNDN);
        mpfr_init(r23305);
        mpfr_init(r23306);
        mpfr_init(r23307);
        mpfr_init(r23308);
        mpfr_init(r23309);
        mpfr_init(r23310);
        mpfr_init(r23311);
        mpfr_init(r23312);
        mpfr_init(r23313);
        mpfr_init_set_str(r23314, "0.0007658936176756388", 10, MPFR_RNDN);
        mpfr_init(r23315);
        mpfr_init_set_str(r23316, "-2", 10, MPFR_RNDN);
        mpfr_init(r23317);
        mpfr_init(r23318);
        mpfr_init(r23319);
        mpfr_init(r23320);
        mpfr_init(r23321);
        mpfr_init(r23322);
        mpfr_init(r23323);
        mpfr_init(r23324);
        mpfr_init(r23325);
        mpfr_init(r23326);
        mpfr_init(r23327);
}

double f_dm(double x, double eps) {
        mpfr_set_d(r23291, x, MPFR_RNDN);
        mpfr_set_d(r23292, eps, MPFR_RNDN);
        mpfr_add(r23293, r23291, r23292, MPFR_RNDN);
        mpfr_add(r23294, r23291, r23293, MPFR_RNDN);
        ;
        mpfr_div(r23296, r23294, r23295, MPFR_RNDN);
        mpfr_sin(r23297, r23296, MPFR_RNDN);
        mpfr_div(r23298, r23292, r23295, MPFR_RNDN);
        mpfr_sin(r23299, r23298, MPFR_RNDN);
        mpfr_mul(r23300, r23297, r23299, MPFR_RNDN);
        ;
        mpfr_pow(r23302, r23300, r23301, MPFR_RNDN);
        mpfr_cbrt(r23303, r23302, MPFR_RNDN);
        ;
        mpfr_set_si(r23305, mpfr_cmp(r23303, r23304) <= 0, MPFR_RNDN);
        mpfr_cos(r23306, r23291, MPFR_RNDN);
        mpfr_cos(r23307, r23292, MPFR_RNDN);
        mpfr_mul(r23308, r23306, r23307, MPFR_RNDN);
        mpfr_sin(r23309, r23291, MPFR_RNDN);
        mpfr_sin(r23310, r23292, MPFR_RNDN);
        mpfr_mul(r23311, r23309, r23310, MPFR_RNDN);
        mpfr_add(r23312, r23311, r23306, MPFR_RNDN);
        mpfr_sub(r23313, r23308, r23312, MPFR_RNDN);
        ;
        mpfr_set_si(r23315, mpfr_cmp(r23303, r23314) <= 0, MPFR_RNDN);
        ;
        mpfr_add(r23317, r23292, r23291, MPFR_RNDN);
        mpfr_add(r23318, r23291, r23317, MPFR_RNDN);
        mpfr_div(r23319, r23318, r23295, MPFR_RNDN);
        mpfr_sin(r23320, r23319, MPFR_RNDN);
        mpfr_mul(r23321, r23299, r23320, MPFR_RNDN);
        mpfr_cbrt(r23322, r23321, MPFR_RNDN);
        mpfr_mul(r23323, r23322, r23322, MPFR_RNDN);
        mpfr_mul(r23324, r23323, r23322, MPFR_RNDN);
        mpfr_mul(r23325, r23316, r23324, MPFR_RNDN);
        if (mpfr_get_si(r23315, MPFR_RNDN)) { mpfr_set(r23326, r23325, MPFR_RNDN); } else { mpfr_set(r23326, r23313, MPFR_RNDN); };
        if (mpfr_get_si(r23305, MPFR_RNDN)) { mpfr_set(r23327, r23313, MPFR_RNDN); } else { mpfr_set(r23327, r23326, MPFR_RNDN); };
        return mpfr_get_d(r23327, MPFR_RNDN);
}