#include #include #include #include #include char *name = "NMSE problem 3.3.2"; double f_if(float x, float eps) { float r16412 = x; float r16413 = eps; float r16414 = r16412 + r16413; float r16415 = tan(r16414); float r16416 = tan(r16412); float r16417 = r16415 - r16416; return r16417; } double f_id(double x, double eps) { double r16418 = x; double r16419 = eps; double r16420 = r16418 + r16419; double r16421 = tan(r16420); double r16422 = tan(r16418); double r16423 = r16421 - r16422; return r16423; } double f_of(float x, float eps) { float r16424 = eps; float r16425 = -0.014078606851398945f; bool r16426 = r16424 <= r16425; float r16427 = 1.0f; float r16428 = x; float r16429 = r16428 + r16424; float r16430 = 1.0 / tan(r16429); float r16431 = r16427 / r16430; float r16432 = tan(r16428); float r16433 = cbrt(r16432); float r16434 = r16433 * (r16433 * r16433); float r16435 = r16431 - r16434; float r16436 = 3.192056179046631f; bool r16437 = r16424 <= r16436; float r16438 = cos(r16428); float r16439 = sin(r16428); float r16440 = r16438 / r16439; float r16441 = r16440 * r16440; float r16442 = r16424 / r16441; float r16443 = r16424 * r16424; float r16444 = r16443 / r16438; float r16445 = r16444 * r16439; float r16446 = r16442 + r16445; float r16447 = r16439 * (r16439 * r16439); float r16448 = r16438 * (r16438 * r16438); float r16449 = r16448 / r16443; float r16450 = r16447 / r16449; float r16451 = r16446 + r16450; float r16452 = 0.3333333432674408f; float r16453 = r16424 * (r16424 * r16424); float r16454 = r16452 * r16453; float r16455 = r16454 + r16424; float r16456 = 1.3333333730697632f; float r16457 = r16456 * r16424; float r16458 = r16457 * r16443; float r16459 = r16458 / r16441; float r16460 = 4.0f; float r16461 = pow(r16438, r16460); float r16462 = pow(r16439, r16460); float r16463 = r16461 / r16462; float r16464 = r16453 / r16463; float r16465 = r16459 + r16464; float r16466 = r16455 + r16465; float r16467 = r16451 + r16466; float r16468 = r16437 ? r16467 : r16435; float r16469 = r16426 ? r16435 : r16468; return r16469; } double f_od(double x, double eps) { double r16470 = eps; double r16471 = -0.014078606851398945; bool r16472 = r16470 <= r16471; double r16473 = 1.0; double r16474 = x; double r16475 = r16474 + r16470; double r16476 = 1.0 / tan(r16475); double r16477 = r16473 / r16476; double r16478 = tan(r16474); double r16479 = cbrt(r16478); double r16480 = r16479 * (r16479 * r16479); double r16481 = r16477 - r16480; double r16482 = 3.192056179046631; bool r16483 = r16470 <= r16482; double r16484 = cos(r16474); double r16485 = sin(r16474); double r16486 = r16484 / r16485; double r16487 = r16486 * r16486; double r16488 = r16470 / r16487; double r16489 = r16470 * r16470; double r16490 = r16489 / r16484; double r16491 = r16490 * r16485; double r16492 = r16488 + r16491; double r16493 = r16485 * (r16485 * r16485); double r16494 = r16484 * (r16484 * r16484); double r16495 = r16494 / r16489; double r16496 = r16493 / r16495; double r16497 = r16492 + r16496; double r16498 = 0.3333333432674408; double r16499 = r16470 * (r16470 * r16470); double r16500 = r16498 * r16499; double r16501 = r16500 + r16470; double r16502 = 1.3333333730697632; double r16503 = r16502 * r16470; double r16504 = r16503 * r16489; double r16505 = r16504 / r16487; double r16506 = 4.0; double r16507 = pow(r16484, r16506); double r16508 = pow(r16485, r16506); double r16509 = r16507 / r16508; double r16510 = r16499 / r16509; double r16511 = r16505 + r16510; double r16512 = r16501 + r16511; double r16513 = r16497 + r16512; double r16514 = r16483 ? r16513 : r16481; double r16515 = r16472 ? r16481 : r16514; return r16515; } 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 r16516, r16517, r16518, r16519, r16520, r16521; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r16516); mpfr_init(r16517); mpfr_init(r16518); mpfr_init(r16519); mpfr_init(r16520); mpfr_init(r16521); } double f_im(double x, double eps) { mpfr_set_d(r16516, x, MPFR_RNDN); mpfr_set_d(r16517, eps, MPFR_RNDN); mpfr_add(r16518, r16516, r16517, MPFR_RNDN); mpfr_tan(r16519, r16518, MPFR_RNDN); mpfr_tan(r16520, r16516, MPFR_RNDN); mpfr_sub(r16521, r16519, r16520, MPFR_RNDN); return mpfr_get_d(r16521, MPFR_RNDN); } static mpfr_t r16522, r16523, r16524, r16525, r16526, r16527, r16528, r16529, r16530, r16531, r16532, r16533, r16534, r16535, r16536, r16537, r16538, r16539, r16540, r16541, r16542, r16543, r16544, r16545, r16546, r16547, r16548, r16549, r16550, r16551, r16552, r16553, r16554, r16555, r16556, r16557, r16558, r16559, r16560, r16561, r16562, r16563, r16564, r16565, r16566, r16567; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init(r16522); mpfr_init_set_str(r16523, "-0.014078607f0", 10, MPFR_RNDN); mpfr_init(r16524); mpfr_init_set_str(r16525, "1", 10, MPFR_RNDN); mpfr_init(r16526); mpfr_init(r16527); mpfr_init(r16528); mpfr_init(r16529); mpfr_init(r16530); mpfr_init(r16531); mpfr_init(r16532); mpfr_init(r16533); mpfr_init_set_str(r16534, "3.1920562f0", 10, MPFR_RNDN); mpfr_init(r16535); mpfr_init(r16536); mpfr_init(r16537); mpfr_init(r16538); mpfr_init(r16539); mpfr_init(r16540); mpfr_init(r16541); mpfr_init(r16542); mpfr_init(r16543); mpfr_init(r16544); mpfr_init(r16545); mpfr_init(r16546); mpfr_init(r16547); mpfr_init(r16548); mpfr_init(r16549); mpfr_init_set_str(r16550, "1/3", 10, MPFR_RNDN); mpfr_init(r16551); mpfr_init(r16552); mpfr_init(r16553); mpfr_init_set_str(r16554, "4/3", 10, MPFR_RNDN); mpfr_init(r16555); mpfr_init(r16556); mpfr_init(r16557); mpfr_init_set_str(r16558, "4", 10, MPFR_RNDN); mpfr_init(r16559); mpfr_init(r16560); mpfr_init(r16561); mpfr_init(r16562); mpfr_init(r16563); mpfr_init(r16564); mpfr_init(r16565); mpfr_init(r16566); mpfr_init(r16567); } double f_fm(double x, double eps) { mpfr_set_d(r16522, eps, MPFR_RNDN); ; mpfr_set_si(r16524, mpfr_cmp(r16522, r16523) <= 0, MPFR_RNDN); ; mpfr_set_d(r16526, x, MPFR_RNDN); mpfr_add(r16527, r16526, r16522, MPFR_RNDN); mpfr_cot(r16528, r16527, MPFR_RNDN); mpfr_div(r16529, r16525, r16528, MPFR_RNDN); mpfr_tan(r16530, r16526, MPFR_RNDN); mpfr_cbrt(r16531, r16530, MPFR_RNDN); mpfr_mul(r16532, r16531, r16531, MPFR_RNDN); mpfr_mul(r16532, r16532, r16531, MPFR_RNDN); mpfr_sub(r16533, r16529, r16532, MPFR_RNDN); ; mpfr_set_si(r16535, mpfr_cmp(r16522, r16534) <= 0, MPFR_RNDN); mpfr_cos(r16536, r16526, MPFR_RNDN); mpfr_sin(r16537, r16526, MPFR_RNDN); mpfr_div(r16538, r16536, r16537, MPFR_RNDN); mpfr_sqr(r16539, r16538, MPFR_RNDN); mpfr_div(r16540, r16522, r16539, MPFR_RNDN); mpfr_sqr(r16541, r16522, MPFR_RNDN); mpfr_div(r16542, r16541, r16536, MPFR_RNDN); mpfr_mul(r16543, r16542, r16537, MPFR_RNDN); mpfr_add(r16544, r16540, r16543, MPFR_RNDN); mpfr_mul(r16545, r16537, r16537, MPFR_RNDN); mpfr_mul(r16545, r16545, r16537, MPFR_RNDN); mpfr_mul(r16546, r16536, r16536, MPFR_RNDN); mpfr_mul(r16546, r16546, r16536, MPFR_RNDN); mpfr_div(r16547, r16546, r16541, MPFR_RNDN); mpfr_div(r16548, r16545, r16547, MPFR_RNDN); mpfr_add(r16549, r16544, r16548, MPFR_RNDN); ; mpfr_mul(r16551, r16522, r16522, MPFR_RNDN); mpfr_mul(r16551, r16551, r16522, MPFR_RNDN); mpfr_mul(r16552, r16550, r16551, MPFR_RNDN); mpfr_add(r16553, r16552, r16522, MPFR_RNDN); ; mpfr_mul(r16555, r16554, r16522, MPFR_RNDN); mpfr_mul(r16556, r16555, r16541, MPFR_RNDN); mpfr_div(r16557, r16556, r16539, MPFR_RNDN); ; mpfr_pow(r16559, r16536, r16558, MPFR_RNDN); mpfr_pow(r16560, r16537, r16558, MPFR_RNDN); mpfr_div(r16561, r16559, r16560, MPFR_RNDN); mpfr_div(r16562, r16551, r16561, MPFR_RNDN); mpfr_add(r16563, r16557, r16562, MPFR_RNDN); mpfr_add(r16564, r16553, r16563, MPFR_RNDN); mpfr_add(r16565, r16549, r16564, MPFR_RNDN); if (mpfr_get_si(r16535, MPFR_RNDN)) { mpfr_set(r16566, r16565, MPFR_RNDN); } else { mpfr_set(r16566, r16533, MPFR_RNDN); }; if (mpfr_get_si(r16524, MPFR_RNDN)) { mpfr_set(r16567, r16533, MPFR_RNDN); } else { mpfr_set(r16567, r16566, MPFR_RNDN); }; return mpfr_get_d(r16567, MPFR_RNDN); } static mpfr_t r16568, r16569, r16570, r16571, r16572, r16573, r16574, r16575, r16576, r16577, r16578, r16579, r16580, r16581, r16582, r16583, r16584, r16585, r16586, r16587, r16588, r16589, r16590, r16591, r16592, r16593, r16594, r16595, r16596, r16597, r16598, r16599, r16600, r16601, r16602, r16603, r16604, r16605, r16606, r16607, r16608, r16609, r16610, r16611, r16612, r16613; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init(r16568); mpfr_init_set_str(r16569, "-0.014078607f0", 10, MPFR_RNDN); mpfr_init(r16570); mpfr_init_set_str(r16571, "1", 10, MPFR_RNDN); mpfr_init(r16572); mpfr_init(r16573); mpfr_init(r16574); mpfr_init(r16575); mpfr_init(r16576); mpfr_init(r16577); mpfr_init(r16578); mpfr_init(r16579); mpfr_init_set_str(r16580, "3.1920562f0", 10, MPFR_RNDN); mpfr_init(r16581); mpfr_init(r16582); mpfr_init(r16583); mpfr_init(r16584); mpfr_init(r16585); mpfr_init(r16586); mpfr_init(r16587); mpfr_init(r16588); mpfr_init(r16589); mpfr_init(r16590); mpfr_init(r16591); mpfr_init(r16592); mpfr_init(r16593); mpfr_init(r16594); mpfr_init(r16595); mpfr_init_set_str(r16596, "1/3", 10, MPFR_RNDN); mpfr_init(r16597); mpfr_init(r16598); mpfr_init(r16599); mpfr_init_set_str(r16600, "4/3", 10, MPFR_RNDN); mpfr_init(r16601); mpfr_init(r16602); mpfr_init(r16603); mpfr_init_set_str(r16604, "4", 10, MPFR_RNDN); mpfr_init(r16605); mpfr_init(r16606); mpfr_init(r16607); mpfr_init(r16608); mpfr_init(r16609); mpfr_init(r16610); mpfr_init(r16611); mpfr_init(r16612); mpfr_init(r16613); } double f_dm(double x, double eps) { mpfr_set_d(r16568, eps, MPFR_RNDN); ; mpfr_set_si(r16570, mpfr_cmp(r16568, r16569) <= 0, MPFR_RNDN); ; mpfr_set_d(r16572, x, MPFR_RNDN); mpfr_add(r16573, r16572, r16568, MPFR_RNDN); mpfr_cot(r16574, r16573, MPFR_RNDN); mpfr_div(r16575, r16571, r16574, MPFR_RNDN); mpfr_tan(r16576, r16572, MPFR_RNDN); mpfr_cbrt(r16577, r16576, MPFR_RNDN); mpfr_mul(r16578, r16577, r16577, MPFR_RNDN); mpfr_mul(r16578, r16578, r16577, MPFR_RNDN); mpfr_sub(r16579, r16575, r16578, MPFR_RNDN); ; mpfr_set_si(r16581, mpfr_cmp(r16568, r16580) <= 0, MPFR_RNDN); mpfr_cos(r16582, r16572, MPFR_RNDN); mpfr_sin(r16583, r16572, MPFR_RNDN); mpfr_div(r16584, r16582, r16583, MPFR_RNDN); mpfr_sqr(r16585, r16584, MPFR_RNDN); mpfr_div(r16586, r16568, r16585, MPFR_RNDN); mpfr_sqr(r16587, r16568, MPFR_RNDN); mpfr_div(r16588, r16587, r16582, MPFR_RNDN); mpfr_mul(r16589, r16588, r16583, MPFR_RNDN); mpfr_add(r16590, r16586, r16589, MPFR_RNDN); mpfr_mul(r16591, r16583, r16583, MPFR_RNDN); mpfr_mul(r16591, r16591, r16583, MPFR_RNDN); mpfr_mul(r16592, r16582, r16582, MPFR_RNDN); mpfr_mul(r16592, r16592, r16582, MPFR_RNDN); mpfr_div(r16593, r16592, r16587, MPFR_RNDN); mpfr_div(r16594, r16591, r16593, MPFR_RNDN); mpfr_add(r16595, r16590, r16594, MPFR_RNDN); ; mpfr_mul(r16597, r16568, r16568, MPFR_RNDN); mpfr_mul(r16597, r16597, r16568, MPFR_RNDN); mpfr_mul(r16598, r16596, r16597, MPFR_RNDN); mpfr_add(r16599, r16598, r16568, MPFR_RNDN); ; mpfr_mul(r16601, r16600, r16568, MPFR_RNDN); mpfr_mul(r16602, r16601, r16587, MPFR_RNDN); mpfr_div(r16603, r16602, r16585, MPFR_RNDN); ; mpfr_pow(r16605, r16582, r16604, MPFR_RNDN); mpfr_pow(r16606, r16583, r16604, MPFR_RNDN); mpfr_div(r16607, r16605, r16606, MPFR_RNDN); mpfr_div(r16608, r16597, r16607, MPFR_RNDN); mpfr_add(r16609, r16603, r16608, MPFR_RNDN); mpfr_add(r16610, r16599, r16609, MPFR_RNDN); mpfr_add(r16611, r16595, r16610, MPFR_RNDN); if (mpfr_get_si(r16581, MPFR_RNDN)) { mpfr_set(r16612, r16611, MPFR_RNDN); } else { mpfr_set(r16612, r16579, MPFR_RNDN); }; if (mpfr_get_si(r16570, MPFR_RNDN)) { mpfr_set(r16613, r16579, MPFR_RNDN); } else { mpfr_set(r16613, r16612, MPFR_RNDN); }; return mpfr_get_d(r16613, MPFR_RNDN); }