#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 r23282 = x;
        float r23283 = eps;
        float r23284 = r23282 + r23283;
        float r23285 = cos(r23284);
        float r23286 = cos(r23282);
        float r23287 = r23285 - r23286;
        return r23287;
}

double f_id(double x, double eps) {
        double r23288 = x;
        double r23289 = eps;
        double r23290 = r23288 + r23289;
        double r23291 = cos(r23290);
        double r23292 = cos(r23288);
        double r23293 = r23291 - r23292;
        return r23293;
}


double f_of(float x, float eps) {
        float r23294 = -2;
        float r23295 = eps;
        float r23296 = 2;
        float r23297 = r23295 / r23296;
        float r23298 = sin(r23297);
        float r23299 = x;
        float r23300 = r23295 + r23299;
        float r23301 = r23299 + r23300;
        float r23302 = r23301 / r23296;
        float r23303 = sin(r23302);
        float r23304 = r23298 * r23303;
        float r23305 = r23294 * r23304;
        float r23306 = -1.5796356847850844e-07;
        bool r23307 = r23305 <= r23306;
        float r23308 = cos(r23299);
        float r23309 = cos(r23295);
        float r23310 = r23308 * r23309;
        float r23311 = sin(r23295);
        float r23312 = sin(r23299);
        float r23313 = fma(r23311, r23312, r23308);
        float r23314 = r23310 - r23313;
        float r23315 = 1.678165034941889e-20;
        bool r23316 = r23305 <= r23315;
        float r23317 = expm1(r23303);
        float r23318 = log1p(r23317);
        float r23319 = r23298 * r23318;
        float r23320 = r23294 * r23319;
        float r23321 = r23312 * r23311;
        float r23322 = r23310 - r23321;
        float r23323 = r23322 - r23308;
        float r23324 = r23316 ? r23320 : r23323;
        float r23325 = r23307 ? r23314 : r23324;
        return r23325;
}

double f_od(double x, double eps) {
        double r23326 = -2;
        double r23327 = eps;
        double r23328 = 2;
        double r23329 = r23327 / r23328;
        double r23330 = sin(r23329);
        double r23331 = x;
        double r23332 = r23327 + r23331;
        double r23333 = r23331 + r23332;
        double r23334 = r23333 / r23328;
        double r23335 = sin(r23334);
        double r23336 = r23330 * r23335;
        double r23337 = r23326 * r23336;
        double r23338 = -1.5796356847850844e-07;
        bool r23339 = r23337 <= r23338;
        double r23340 = cos(r23331);
        double r23341 = cos(r23327);
        double r23342 = r23340 * r23341;
        double r23343 = sin(r23327);
        double r23344 = sin(r23331);
        double r23345 = fma(r23343, r23344, r23340);
        double r23346 = r23342 - r23345;
        double r23347 = 1.678165034941889e-20;
        bool r23348 = r23337 <= r23347;
        double r23349 = expm1(r23335);
        double r23350 = log1p(r23349);
        double r23351 = r23330 * r23350;
        double r23352 = r23326 * r23351;
        double r23353 = r23344 * r23343;
        double r23354 = r23342 - r23353;
        double r23355 = r23354 - r23340;
        double r23356 = r23348 ? r23352 : r23355;
        double r23357 = r23339 ? r23346 : r23356;
        return r23357;
}

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 r23358, r23359, r23360, r23361, r23362, r23363;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2448);
        mpfr_init(r23358);
        mpfr_init(r23359);
        mpfr_init(r23360);
        mpfr_init(r23361);
        mpfr_init(r23362);
        mpfr_init(r23363);
}

double f_im(double x, double eps) {
        mpfr_set_d(r23358, x, MPFR_RNDN);
        mpfr_set_d(r23359, eps, MPFR_RNDN);
        mpfr_add(r23360, r23358, r23359, MPFR_RNDN);
        mpfr_cos(r23361, r23360, MPFR_RNDN);
        mpfr_cos(r23362, r23358, MPFR_RNDN);
        mpfr_sub(r23363, r23361, r23362, MPFR_RNDN);
        return mpfr_get_d(r23363, MPFR_RNDN);
}

static mpfr_t r23364, r23365, r23366, r23367, r23368, r23369, r23370, r23371, r23372, r23373, r23374, r23375, r23376, r23377, r23378, r23379, r23380, r23381, r23382, r23383, r23384, r23385, r23386, r23387, r23388, r23389, r23390, r23391, r23392, r23393, r23394, r23395;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2448);
        mpfr_init_set_str(r23364, "-2", 10, MPFR_RNDN);
        mpfr_init(r23365);
        mpfr_init_set_str(r23366, "2", 10, MPFR_RNDN);
        mpfr_init(r23367);
        mpfr_init(r23368);
        mpfr_init(r23369);
        mpfr_init(r23370);
        mpfr_init(r23371);
        mpfr_init(r23372);
        mpfr_init(r23373);
        mpfr_init(r23374);
        mpfr_init(r23375);
        mpfr_init_set_str(r23376, "-1.5796356847850844e-07", 10, MPFR_RNDN);
        mpfr_init(r23377);
        mpfr_init(r23378);
        mpfr_init(r23379);
        mpfr_init(r23380);
        mpfr_init(r23381);
        mpfr_init(r23382);
        mpfr_init(r23383);
        mpfr_init(r23384);
        mpfr_init_set_str(r23385, "1.678165034941889e-20", 10, MPFR_RNDN);
        mpfr_init(r23386);
        mpfr_init(r23387);
        mpfr_init(r23388);
        mpfr_init(r23389);
        mpfr_init(r23390);
        mpfr_init(r23391);
        mpfr_init(r23392);
        mpfr_init(r23393);
        mpfr_init(r23394);
        mpfr_init(r23395);
}

double f_fm(double x, double eps) {
        ;
        mpfr_set_d(r23365, eps, MPFR_RNDN);
        ;
        mpfr_div(r23367, r23365, r23366, MPFR_RNDN);
        mpfr_sin(r23368, r23367, MPFR_RNDN);
        mpfr_set_d(r23369, x, MPFR_RNDN);
        mpfr_add(r23370, r23365, r23369, MPFR_RNDN);
        mpfr_add(r23371, r23369, r23370, MPFR_RNDN);
        mpfr_div(r23372, r23371, r23366, MPFR_RNDN);
        mpfr_sin(r23373, r23372, MPFR_RNDN);
        mpfr_mul(r23374, r23368, r23373, MPFR_RNDN);
        mpfr_mul(r23375, r23364, r23374, MPFR_RNDN);
        ;
        mpfr_set_si(r23377, mpfr_cmp(r23375, r23376) <= 0, MPFR_RNDN);
        mpfr_cos(r23378, r23369, MPFR_RNDN);
        mpfr_cos(r23379, r23365, MPFR_RNDN);
        mpfr_mul(r23380, r23378, r23379, MPFR_RNDN);
        mpfr_sin(r23381, r23365, MPFR_RNDN);
        mpfr_sin(r23382, r23369, MPFR_RNDN);
        mpfr_fma(r23383, r23381, r23382, r23378, MPFR_RNDN);
        mpfr_sub(r23384, r23380, r23383, MPFR_RNDN);
        ;
        mpfr_set_si(r23386, mpfr_cmp(r23375, r23385) <= 0, MPFR_RNDN);
        mpfr_expm1(r23387, r23373, MPFR_RNDN);
        mpfr_log1p(r23388, r23387, MPFR_RNDN);
        mpfr_mul(r23389, r23368, r23388, MPFR_RNDN);
        mpfr_mul(r23390, r23364, r23389, MPFR_RNDN);
        mpfr_mul(r23391, r23382, r23381, MPFR_RNDN);
        mpfr_sub(r23392, r23380, r23391, MPFR_RNDN);
        mpfr_sub(r23393, r23392, r23378, MPFR_RNDN);
        if (mpfr_get_si(r23386, MPFR_RNDN)) { mpfr_set(r23394, r23390, MPFR_RNDN); } else { mpfr_set(r23394, r23393, MPFR_RNDN); };
        if (mpfr_get_si(r23377, MPFR_RNDN)) { mpfr_set(r23395, r23384, MPFR_RNDN); } else { mpfr_set(r23395, r23394, MPFR_RNDN); };
        return mpfr_get_d(r23395, MPFR_RNDN);
}

static mpfr_t r23396, r23397, r23398, r23399, r23400, r23401, r23402, r23403, r23404, r23405, r23406, r23407, r23408, r23409, r23410, r23411, r23412, r23413, r23414, r23415, r23416, r23417, r23418, r23419, r23420, r23421, r23422, r23423, r23424, r23425, r23426, r23427;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2448);
        mpfr_init_set_str(r23396, "-2", 10, MPFR_RNDN);
        mpfr_init(r23397);
        mpfr_init_set_str(r23398, "2", 10, MPFR_RNDN);
        mpfr_init(r23399);
        mpfr_init(r23400);
        mpfr_init(r23401);
        mpfr_init(r23402);
        mpfr_init(r23403);
        mpfr_init(r23404);
        mpfr_init(r23405);
        mpfr_init(r23406);
        mpfr_init(r23407);
        mpfr_init_set_str(r23408, "-1.5796356847850844e-07", 10, MPFR_RNDN);
        mpfr_init(r23409);
        mpfr_init(r23410);
        mpfr_init(r23411);
        mpfr_init(r23412);
        mpfr_init(r23413);
        mpfr_init(r23414);
        mpfr_init(r23415);
        mpfr_init(r23416);
        mpfr_init_set_str(r23417, "1.678165034941889e-20", 10, MPFR_RNDN);
        mpfr_init(r23418);
        mpfr_init(r23419);
        mpfr_init(r23420);
        mpfr_init(r23421);
        mpfr_init(r23422);
        mpfr_init(r23423);
        mpfr_init(r23424);
        mpfr_init(r23425);
        mpfr_init(r23426);
        mpfr_init(r23427);
}

double f_dm(double x, double eps) {
        ;
        mpfr_set_d(r23397, eps, MPFR_RNDN);
        ;
        mpfr_div(r23399, r23397, r23398, MPFR_RNDN);
        mpfr_sin(r23400, r23399, MPFR_RNDN);
        mpfr_set_d(r23401, x, MPFR_RNDN);
        mpfr_add(r23402, r23397, r23401, MPFR_RNDN);
        mpfr_add(r23403, r23401, r23402, MPFR_RNDN);
        mpfr_div(r23404, r23403, r23398, MPFR_RNDN);
        mpfr_sin(r23405, r23404, MPFR_RNDN);
        mpfr_mul(r23406, r23400, r23405, MPFR_RNDN);
        mpfr_mul(r23407, r23396, r23406, MPFR_RNDN);
        ;
        mpfr_set_si(r23409, mpfr_cmp(r23407, r23408) <= 0, MPFR_RNDN);
        mpfr_cos(r23410, r23401, MPFR_RNDN);
        mpfr_cos(r23411, r23397, MPFR_RNDN);
        mpfr_mul(r23412, r23410, r23411, MPFR_RNDN);
        mpfr_sin(r23413, r23397, MPFR_RNDN);
        mpfr_sin(r23414, r23401, MPFR_RNDN);
        mpfr_fma(r23415, r23413, r23414, r23410, MPFR_RNDN);
        mpfr_sub(r23416, r23412, r23415, MPFR_RNDN);
        ;
        mpfr_set_si(r23418, mpfr_cmp(r23407, r23417) <= 0, MPFR_RNDN);
        mpfr_expm1(r23419, r23405, MPFR_RNDN);
        mpfr_log1p(r23420, r23419, MPFR_RNDN);
        mpfr_mul(r23421, r23400, r23420, MPFR_RNDN);
        mpfr_mul(r23422, r23396, r23421, MPFR_RNDN);
        mpfr_mul(r23423, r23414, r23413, MPFR_RNDN);
        mpfr_sub(r23424, r23412, r23423, MPFR_RNDN);
        mpfr_sub(r23425, r23424, r23410, MPFR_RNDN);
        if (mpfr_get_si(r23418, MPFR_RNDN)) { mpfr_set(r23426, r23422, MPFR_RNDN); } else { mpfr_set(r23426, r23425, MPFR_RNDN); };
        if (mpfr_get_si(r23409, MPFR_RNDN)) { mpfr_set(r23427, r23416, MPFR_RNDN); } else { mpfr_set(r23427, r23426, MPFR_RNDN); };
        return mpfr_get_d(r23427, MPFR_RNDN);
}