#include #include #include #include #include char *name = "NMSE problem 3.3.2"; double f_if(float x, float eps) { float r16432 = x; float r16433 = eps; float r16434 = r16432 + r16433; float r16435 = tan(r16434); float r16436 = tan(r16432); float r16437 = r16435 - r16436; return r16437; } double f_id(double x, double eps) { double r16438 = x; double r16439 = eps; double r16440 = r16438 + r16439; double r16441 = tan(r16440); double r16442 = tan(r16438); double r16443 = r16441 - r16442; return r16443; } double f_of(float x, float eps) { float r16444 = eps; float r16445 = -9.280756734832815e-07f; bool r16446 = r16444 <= r16445; float r16447 = x; float r16448 = 1.0 / tan(r16447); float r16449 = sin(r16447); float r16450 = cos(r16444); float r16451 = r16449 * r16450; float r16452 = r16448 * r16451; float r16453 = cos(r16447); float r16454 = sin(r16444); float r16455 = r16453 * r16454; float r16456 = r16448 * r16455; float r16457 = r16447 + r16444; float r16458 = cos(r16457); float r16459 = r16456 - r16458; float r16460 = r16452 + r16459; float r16461 = r16458 * r16448; float r16462 = r16460 / r16461; float r16463 = 1.265053560136945e-13f; bool r16464 = r16444 <= r16463; float r16465 = r16453 / r16449; float r16466 = r16465 * r16465; float r16467 = r16444 / r16466; float r16468 = r16444 * r16444; float r16469 = r16468 / r16453; float r16470 = r16469 * r16449; float r16471 = r16467 + r16470; float r16472 = r16449 * (r16449 * r16449); float r16473 = r16453 * (r16453 * r16453); float r16474 = r16473 / r16468; float r16475 = r16472 / r16474; float r16476 = r16471 + r16475; float r16477 = 0.3333333333333333f; float r16478 = r16444 * (r16444 * r16444); float r16479 = r16477 * r16478; float r16480 = r16479 + r16444; float r16481 = 1.3333333333333333f; float r16482 = r16481 * r16444; float r16483 = r16482 * r16468; float r16484 = r16483 / r16466; float r16485 = 4.0f; float r16486 = pow(r16453, r16485); float r16487 = pow(r16449, r16485); float r16488 = r16486 / r16487; float r16489 = r16478 / r16488; float r16490 = r16484 + r16489; float r16491 = r16480 + r16490; float r16492 = r16476 + r16491; float r16493 = r16464 ? r16492 : r16462; float r16494 = r16446 ? r16462 : r16493; return r16494; } double f_od(double x, double eps) { double r16495 = eps; double r16496 = -9.280756734832815e-07; bool r16497 = r16495 <= r16496; double r16498 = x; double r16499 = 1.0 / tan(r16498); double r16500 = sin(r16498); double r16501 = cos(r16495); double r16502 = r16500 * r16501; double r16503 = r16499 * r16502; double r16504 = cos(r16498); double r16505 = sin(r16495); double r16506 = r16504 * r16505; double r16507 = r16499 * r16506; double r16508 = r16498 + r16495; double r16509 = cos(r16508); double r16510 = r16507 - r16509; double r16511 = r16503 + r16510; double r16512 = r16509 * r16499; double r16513 = r16511 / r16512; double r16514 = 1.265053560136945e-13; bool r16515 = r16495 <= r16514; double r16516 = r16504 / r16500; double r16517 = r16516 * r16516; double r16518 = r16495 / r16517; double r16519 = r16495 * r16495; double r16520 = r16519 / r16504; double r16521 = r16520 * r16500; double r16522 = r16518 + r16521; double r16523 = r16500 * (r16500 * r16500); double r16524 = r16504 * (r16504 * r16504); double r16525 = r16524 / r16519; double r16526 = r16523 / r16525; double r16527 = r16522 + r16526; double r16528 = 0.3333333333333333; double r16529 = r16495 * (r16495 * r16495); double r16530 = r16528 * r16529; double r16531 = r16530 + r16495; double r16532 = 1.3333333333333333; double r16533 = r16532 * r16495; double r16534 = r16533 * r16519; double r16535 = r16534 / r16517; double r16536 = 4.0; double r16537 = pow(r16504, r16536); double r16538 = pow(r16500, r16536); double r16539 = r16537 / r16538; double r16540 = r16529 / r16539; double r16541 = r16535 + r16540; double r16542 = r16531 + r16541; double r16543 = r16527 + r16542; double r16544 = r16515 ? r16543 : r16513; double r16545 = r16497 ? r16513 : r16544; return r16545; } 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 r16546, r16547, r16548, r16549, r16550, r16551; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r16546); mpfr_init(r16547); mpfr_init(r16548); mpfr_init(r16549); mpfr_init(r16550); mpfr_init(r16551); } double f_im(double x, double eps) { mpfr_set_d(r16546, x, MPFR_RNDN); mpfr_set_d(r16547, eps, MPFR_RNDN); mpfr_add(r16548, r16546, r16547, MPFR_RNDN); mpfr_tan(r16549, r16548, MPFR_RNDN); mpfr_tan(r16550, r16546, MPFR_RNDN); mpfr_sub(r16551, r16549, r16550, MPFR_RNDN); return mpfr_get_d(r16551, MPFR_RNDN); } static mpfr_t r16552, r16553, r16554, r16555, r16556, r16557, r16558, r16559, r16560, r16561, r16562, r16563, r16564, r16565, r16566, r16567, 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; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init(r16552); mpfr_init_set_str(r16553, "-9.280756734832815e-07", 10, MPFR_RNDN); mpfr_init(r16554); mpfr_init(r16555); mpfr_init(r16556); mpfr_init(r16557); mpfr_init(r16558); 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); mpfr_init(r16568); mpfr_init(r16569); mpfr_init(r16570); mpfr_init_set_str(r16571, "1.265053560136945e-13", 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(r16580); mpfr_init(r16581); mpfr_init(r16582); mpfr_init(r16583); mpfr_init(r16584); mpfr_init_set_str(r16585, "1/3", 10, MPFR_RNDN); mpfr_init(r16586); mpfr_init(r16587); mpfr_init(r16588); mpfr_init_set_str(r16589, "4/3", 10, MPFR_RNDN); mpfr_init(r16590); mpfr_init(r16591); mpfr_init(r16592); mpfr_init_set_str(r16593, "4", 10, MPFR_RNDN); mpfr_init(r16594); mpfr_init(r16595); mpfr_init(r16596); mpfr_init(r16597); mpfr_init(r16598); mpfr_init(r16599); mpfr_init(r16600); mpfr_init(r16601); mpfr_init(r16602); } double f_fm(double x, double eps) { mpfr_set_d(r16552, eps, MPFR_RNDN); ; mpfr_set_si(r16554, mpfr_cmp(r16552, r16553) <= 0, MPFR_RNDN); mpfr_set_d(r16555, x, MPFR_RNDN); mpfr_cot(r16556, r16555, MPFR_RNDN); mpfr_sin(r16557, r16555, MPFR_RNDN); mpfr_cos(r16558, r16552, MPFR_RNDN); mpfr_mul(r16559, r16557, r16558, MPFR_RNDN); mpfr_mul(r16560, r16556, r16559, MPFR_RNDN); mpfr_cos(r16561, r16555, MPFR_RNDN); mpfr_sin(r16562, r16552, MPFR_RNDN); mpfr_mul(r16563, r16561, r16562, MPFR_RNDN); mpfr_mul(r16564, r16556, r16563, MPFR_RNDN); mpfr_add(r16565, r16555, r16552, MPFR_RNDN); mpfr_cos(r16566, r16565, MPFR_RNDN); mpfr_sub(r16567, r16564, r16566, MPFR_RNDN); mpfr_add(r16568, r16560, r16567, MPFR_RNDN); mpfr_mul(r16569, r16566, r16556, MPFR_RNDN); mpfr_div(r16570, r16568, r16569, MPFR_RNDN); ; mpfr_set_si(r16572, mpfr_cmp(r16552, r16571) <= 0, MPFR_RNDN); mpfr_div(r16573, r16561, r16557, MPFR_RNDN); mpfr_sqr(r16574, r16573, MPFR_RNDN); mpfr_div(r16575, r16552, r16574, MPFR_RNDN); mpfr_sqr(r16576, r16552, MPFR_RNDN); mpfr_div(r16577, r16576, r16561, MPFR_RNDN); mpfr_mul(r16578, r16577, r16557, MPFR_RNDN); mpfr_add(r16579, r16575, r16578, MPFR_RNDN); mpfr_mul(r16580, r16557, r16557, MPFR_RNDN); mpfr_mul(r16580, r16580, r16557, MPFR_RNDN); mpfr_mul(r16581, r16561, r16561, MPFR_RNDN); mpfr_mul(r16581, r16581, r16561, MPFR_RNDN); mpfr_div(r16582, r16581, r16576, MPFR_RNDN); mpfr_div(r16583, r16580, r16582, MPFR_RNDN); mpfr_add(r16584, r16579, r16583, MPFR_RNDN); ; mpfr_mul(r16586, r16552, r16552, MPFR_RNDN); mpfr_mul(r16586, r16586, r16552, MPFR_RNDN); mpfr_mul(r16587, r16585, r16586, MPFR_RNDN); mpfr_add(r16588, r16587, r16552, MPFR_RNDN); ; mpfr_mul(r16590, r16589, r16552, MPFR_RNDN); mpfr_mul(r16591, r16590, r16576, MPFR_RNDN); mpfr_div(r16592, r16591, r16574, MPFR_RNDN); ; mpfr_pow(r16594, r16561, r16593, MPFR_RNDN); mpfr_pow(r16595, r16557, r16593, MPFR_RNDN); mpfr_div(r16596, r16594, r16595, MPFR_RNDN); mpfr_div(r16597, r16586, r16596, MPFR_RNDN); mpfr_add(r16598, r16592, r16597, MPFR_RNDN); mpfr_add(r16599, r16588, r16598, MPFR_RNDN); mpfr_add(r16600, r16584, r16599, MPFR_RNDN); if (mpfr_get_si(r16572, MPFR_RNDN)) { mpfr_set(r16601, r16600, MPFR_RNDN); } else { mpfr_set(r16601, r16570, MPFR_RNDN); }; if (mpfr_get_si(r16554, MPFR_RNDN)) { mpfr_set(r16602, r16570, MPFR_RNDN); } else { mpfr_set(r16602, r16601, MPFR_RNDN); }; return mpfr_get_d(r16602, MPFR_RNDN); } static mpfr_t r16603, r16604, r16605, r16606, r16607, r16608, r16609, r16610, r16611, r16612, r16613, r16614, r16615, r16616, r16617, r16618, r16619, r16620, r16621, r16622, r16623, r16624, r16625, r16626, r16627, r16628, r16629, r16630, r16631, r16632, r16633, r16634, r16635, r16636, r16637, r16638, r16639, r16640, r16641, r16642, r16643, r16644, r16645, r16646, r16647, r16648, r16649, r16650, r16651, r16652, r16653; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init(r16603); mpfr_init_set_str(r16604, "-9.280756734832815e-07", 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); mpfr_init(r16614); mpfr_init(r16615); mpfr_init(r16616); mpfr_init(r16617); mpfr_init(r16618); mpfr_init(r16619); mpfr_init(r16620); mpfr_init(r16621); mpfr_init_set_str(r16622, "1.265053560136945e-13", 10, MPFR_RNDN); mpfr_init(r16623); mpfr_init(r16624); mpfr_init(r16625); mpfr_init(r16626); mpfr_init(r16627); mpfr_init(r16628); mpfr_init(r16629); mpfr_init(r16630); mpfr_init(r16631); mpfr_init(r16632); mpfr_init(r16633); mpfr_init(r16634); mpfr_init(r16635); mpfr_init_set_str(r16636, "1/3", 10, MPFR_RNDN); mpfr_init(r16637); mpfr_init(r16638); mpfr_init(r16639); mpfr_init_set_str(r16640, "4/3", 10, MPFR_RNDN); mpfr_init(r16641); mpfr_init(r16642); mpfr_init(r16643); mpfr_init_set_str(r16644, "4", 10, MPFR_RNDN); mpfr_init(r16645); mpfr_init(r16646); mpfr_init(r16647); mpfr_init(r16648); mpfr_init(r16649); mpfr_init(r16650); mpfr_init(r16651); mpfr_init(r16652); mpfr_init(r16653); } double f_dm(double x, double eps) { mpfr_set_d(r16603, eps, MPFR_RNDN); ; mpfr_set_si(r16605, mpfr_cmp(r16603, r16604) <= 0, MPFR_RNDN); mpfr_set_d(r16606, x, MPFR_RNDN); mpfr_cot(r16607, r16606, MPFR_RNDN); mpfr_sin(r16608, r16606, MPFR_RNDN); mpfr_cos(r16609, r16603, MPFR_RNDN); mpfr_mul(r16610, r16608, r16609, MPFR_RNDN); mpfr_mul(r16611, r16607, r16610, MPFR_RNDN); mpfr_cos(r16612, r16606, MPFR_RNDN); mpfr_sin(r16613, r16603, MPFR_RNDN); mpfr_mul(r16614, r16612, r16613, MPFR_RNDN); mpfr_mul(r16615, r16607, r16614, MPFR_RNDN); mpfr_add(r16616, r16606, r16603, MPFR_RNDN); mpfr_cos(r16617, r16616, MPFR_RNDN); mpfr_sub(r16618, r16615, r16617, MPFR_RNDN); mpfr_add(r16619, r16611, r16618, MPFR_RNDN); mpfr_mul(r16620, r16617, r16607, MPFR_RNDN); mpfr_div(r16621, r16619, r16620, MPFR_RNDN); ; mpfr_set_si(r16623, mpfr_cmp(r16603, r16622) <= 0, MPFR_RNDN); mpfr_div(r16624, r16612, r16608, MPFR_RNDN); mpfr_sqr(r16625, r16624, MPFR_RNDN); mpfr_div(r16626, r16603, r16625, MPFR_RNDN); mpfr_sqr(r16627, r16603, MPFR_RNDN); mpfr_div(r16628, r16627, r16612, MPFR_RNDN); mpfr_mul(r16629, r16628, r16608, MPFR_RNDN); mpfr_add(r16630, r16626, r16629, MPFR_RNDN); mpfr_mul(r16631, r16608, r16608, MPFR_RNDN); mpfr_mul(r16631, r16631, r16608, MPFR_RNDN); mpfr_mul(r16632, r16612, r16612, MPFR_RNDN); mpfr_mul(r16632, r16632, r16612, MPFR_RNDN); mpfr_div(r16633, r16632, r16627, MPFR_RNDN); mpfr_div(r16634, r16631, r16633, MPFR_RNDN); mpfr_add(r16635, r16630, r16634, MPFR_RNDN); ; mpfr_mul(r16637, r16603, r16603, MPFR_RNDN); mpfr_mul(r16637, r16637, r16603, MPFR_RNDN); mpfr_mul(r16638, r16636, r16637, MPFR_RNDN); mpfr_add(r16639, r16638, r16603, MPFR_RNDN); ; mpfr_mul(r16641, r16640, r16603, MPFR_RNDN); mpfr_mul(r16642, r16641, r16627, MPFR_RNDN); mpfr_div(r16643, r16642, r16625, MPFR_RNDN); ; mpfr_pow(r16645, r16612, r16644, MPFR_RNDN); mpfr_pow(r16646, r16608, r16644, MPFR_RNDN); mpfr_div(r16647, r16645, r16646, MPFR_RNDN); mpfr_div(r16648, r16637, r16647, MPFR_RNDN); mpfr_add(r16649, r16643, r16648, MPFR_RNDN); mpfr_add(r16650, r16639, r16649, MPFR_RNDN); mpfr_add(r16651, r16635, r16650, MPFR_RNDN); if (mpfr_get_si(r16623, MPFR_RNDN)) { mpfr_set(r16652, r16651, MPFR_RNDN); } else { mpfr_set(r16652, r16621, MPFR_RNDN); }; if (mpfr_get_si(r16605, MPFR_RNDN)) { mpfr_set(r16653, r16621, MPFR_RNDN); } else { mpfr_set(r16653, r16652, MPFR_RNDN); }; return mpfr_get_d(r16653, MPFR_RNDN); }