#include #include #include #include #include char *name = "NMSE problem 3.3.2"; double f_if(float x, float eps) { float r16460 = x; float r16461 = eps; float r16462 = r16460 + r16461; float r16463 = tan(r16462); float r16464 = tan(r16460); float r16465 = r16463 - r16464; return r16465; } double f_id(double x, double eps) { double r16466 = x; double r16467 = eps; double r16468 = r16466 + r16467; double r16469 = tan(r16468); double r16470 = tan(r16466); double r16471 = r16469 - r16470; return r16471; } double f_of(float x, float eps) { float r16472 = eps; float r16473 = -3.5438160870943954e-16f; bool r16474 = r16472 <= r16473; float r16475 = x; float r16476 = sin(r16475); float r16477 = cos(r16472); float r16478 = r16476 * r16477; float r16479 = cos(r16475); float r16480 = sin(r16472); float r16481 = r16479 * r16480; float r16482 = r16478 + r16481; float r16483 = r16479 * r16477; float r16484 = r16476 * r16480; float r16485 = r16483 - r16484; float r16486 = r16482 / r16485; float r16487 = tan(r16475); float r16488 = r16486 - r16487; float r16489 = 0.0016565824112741959f; bool r16490 = r16472 <= r16489; float r16491 = r16479 / r16476; float r16492 = r16491 * r16491; float r16493 = r16472 / r16492; float r16494 = r16472 * r16472; float r16495 = r16494 / r16479; float r16496 = r16495 * r16476; float r16497 = r16493 + r16496; float r16498 = r16476 * (r16476 * r16476); float r16499 = r16479 * (r16479 * r16479); float r16500 = r16499 / r16494; float r16501 = r16498 / r16500; float r16502 = r16497 + r16501; float r16503 = 0.3333333333333333f; float r16504 = r16472 * (r16472 * r16472); float r16505 = r16503 * r16504; float r16506 = r16505 + r16472; float r16507 = 1.3333333333333333f; float r16508 = r16507 * r16472; float r16509 = r16508 * r16494; float r16510 = r16509 / r16492; float r16511 = 4.0f; float r16512 = pow(r16479, r16511); float r16513 = pow(r16476, r16511); float r16514 = r16512 / r16513; float r16515 = r16504 / r16514; float r16516 = r16510 + r16515; float r16517 = r16506 + r16516; float r16518 = r16502 + r16517; float r16519 = r16490 ? r16518 : r16488; float r16520 = r16474 ? r16488 : r16519; return r16520; } double f_od(double x, double eps) { double r16521 = eps; double r16522 = -3.5438160870943954e-16; bool r16523 = r16521 <= r16522; double r16524 = x; double r16525 = sin(r16524); double r16526 = cos(r16521); double r16527 = r16525 * r16526; double r16528 = cos(r16524); double r16529 = sin(r16521); double r16530 = r16528 * r16529; double r16531 = r16527 + r16530; double r16532 = r16528 * r16526; double r16533 = r16525 * r16529; double r16534 = r16532 - r16533; double r16535 = r16531 / r16534; double r16536 = tan(r16524); double r16537 = r16535 - r16536; double r16538 = 0.0016565824112741959; bool r16539 = r16521 <= r16538; double r16540 = r16528 / r16525; double r16541 = r16540 * r16540; double r16542 = r16521 / r16541; double r16543 = r16521 * r16521; double r16544 = r16543 / r16528; double r16545 = r16544 * r16525; double r16546 = r16542 + r16545; double r16547 = r16525 * (r16525 * r16525); double r16548 = r16528 * (r16528 * r16528); double r16549 = r16548 / r16543; double r16550 = r16547 / r16549; double r16551 = r16546 + r16550; double r16552 = 0.3333333333333333; double r16553 = r16521 * (r16521 * r16521); double r16554 = r16552 * r16553; double r16555 = r16554 + r16521; double r16556 = 1.3333333333333333; double r16557 = r16556 * r16521; double r16558 = r16557 * r16543; double r16559 = r16558 / r16541; double r16560 = 4.0; double r16561 = pow(r16528, r16560); double r16562 = pow(r16525, r16560); double r16563 = r16561 / r16562; double r16564 = r16553 / r16563; double r16565 = r16559 + r16564; double r16566 = r16555 + r16565; double r16567 = r16551 + r16566; double r16568 = r16539 ? r16567 : r16537; double r16569 = r16523 ? r16537 : r16568; return r16569; } 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 r16570, r16571, r16572, r16573, r16574, r16575; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r16570); mpfr_init(r16571); mpfr_init(r16572); mpfr_init(r16573); mpfr_init(r16574); mpfr_init(r16575); } double f_im(double x, double eps) { mpfr_set_d(r16570, x, MPFR_RNDN); mpfr_set_d(r16571, eps, MPFR_RNDN); mpfr_add(r16572, r16570, r16571, MPFR_RNDN); mpfr_tan(r16573, r16572, MPFR_RNDN); mpfr_tan(r16574, r16570, MPFR_RNDN); mpfr_sub(r16575, r16573, r16574, MPFR_RNDN); return mpfr_get_d(r16575, MPFR_RNDN); } static mpfr_t 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, r16614, r16615, r16616, r16617, r16618, r16619, r16620, r16621, r16622, r16623, r16624; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init(r16576); mpfr_init_set_str(r16577, "-3.5438160870943954e-16", 10, MPFR_RNDN); mpfr_init(r16578); mpfr_init(r16579); mpfr_init(r16580); 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_set_str(r16593, "0.0016565824112741959", 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); mpfr_init(r16603); mpfr_init(r16604); mpfr_init(r16605); mpfr_init(r16606); mpfr_init_set_str(r16607, "1/3", 10, MPFR_RNDN); mpfr_init(r16608); mpfr_init(r16609); mpfr_init(r16610); mpfr_init_set_str(r16611, "4/3", 10, MPFR_RNDN); mpfr_init(r16612); mpfr_init(r16613); mpfr_init(r16614); mpfr_init_set_str(r16615, "4", 10, MPFR_RNDN); mpfr_init(r16616); mpfr_init(r16617); mpfr_init(r16618); mpfr_init(r16619); mpfr_init(r16620); mpfr_init(r16621); mpfr_init(r16622); mpfr_init(r16623); mpfr_init(r16624); } double f_fm(double x, double eps) { mpfr_set_d(r16576, eps, MPFR_RNDN); ; mpfr_set_si(r16578, mpfr_cmp(r16576, r16577) <= 0, MPFR_RNDN); mpfr_set_d(r16579, x, MPFR_RNDN); mpfr_sin(r16580, r16579, MPFR_RNDN); mpfr_cos(r16581, r16576, MPFR_RNDN); mpfr_mul(r16582, r16580, r16581, MPFR_RNDN); mpfr_cos(r16583, r16579, MPFR_RNDN); mpfr_sin(r16584, r16576, MPFR_RNDN); mpfr_mul(r16585, r16583, r16584, MPFR_RNDN); mpfr_add(r16586, r16582, r16585, MPFR_RNDN); mpfr_mul(r16587, r16583, r16581, MPFR_RNDN); mpfr_mul(r16588, r16580, r16584, MPFR_RNDN); mpfr_sub(r16589, r16587, r16588, MPFR_RNDN); mpfr_div(r16590, r16586, r16589, MPFR_RNDN); mpfr_tan(r16591, r16579, MPFR_RNDN); mpfr_sub(r16592, r16590, r16591, MPFR_RNDN); ; mpfr_set_si(r16594, mpfr_cmp(r16576, r16593) <= 0, MPFR_RNDN); mpfr_div(r16595, r16583, r16580, MPFR_RNDN); mpfr_sqr(r16596, r16595, MPFR_RNDN); mpfr_div(r16597, r16576, r16596, MPFR_RNDN); mpfr_sqr(r16598, r16576, MPFR_RNDN); mpfr_div(r16599, r16598, r16583, MPFR_RNDN); mpfr_mul(r16600, r16599, r16580, MPFR_RNDN); mpfr_add(r16601, r16597, r16600, MPFR_RNDN); mpfr_mul(r16602, r16580, r16580, MPFR_RNDN); mpfr_mul(r16602, r16602, r16580, MPFR_RNDN); mpfr_mul(r16603, r16583, r16583, MPFR_RNDN); mpfr_mul(r16603, r16603, r16583, MPFR_RNDN); mpfr_div(r16604, r16603, r16598, MPFR_RNDN); mpfr_div(r16605, r16602, r16604, MPFR_RNDN); mpfr_add(r16606, r16601, r16605, MPFR_RNDN); ; mpfr_mul(r16608, r16576, r16576, MPFR_RNDN); mpfr_mul(r16608, r16608, r16576, MPFR_RNDN); mpfr_mul(r16609, r16607, r16608, MPFR_RNDN); mpfr_add(r16610, r16609, r16576, MPFR_RNDN); ; mpfr_mul(r16612, r16611, r16576, MPFR_RNDN); mpfr_mul(r16613, r16612, r16598, MPFR_RNDN); mpfr_div(r16614, r16613, r16596, MPFR_RNDN); ; mpfr_pow(r16616, r16583, r16615, MPFR_RNDN); mpfr_pow(r16617, r16580, r16615, MPFR_RNDN); mpfr_div(r16618, r16616, r16617, MPFR_RNDN); mpfr_div(r16619, r16608, r16618, MPFR_RNDN); mpfr_add(r16620, r16614, r16619, MPFR_RNDN); mpfr_add(r16621, r16610, r16620, MPFR_RNDN); mpfr_add(r16622, r16606, r16621, MPFR_RNDN); if (mpfr_get_si(r16594, MPFR_RNDN)) { mpfr_set(r16623, r16622, MPFR_RNDN); } else { mpfr_set(r16623, r16592, MPFR_RNDN); }; if (mpfr_get_si(r16578, MPFR_RNDN)) { mpfr_set(r16624, r16592, MPFR_RNDN); } else { mpfr_set(r16624, r16623, MPFR_RNDN); }; return mpfr_get_d(r16624, MPFR_RNDN); } static mpfr_t 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, r16654, r16655, r16656, r16657, r16658, r16659, r16660, r16661, r16662, r16663, r16664, r16665, r16666, r16667, r16668, r16669, r16670, r16671, r16672, r16673; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init(r16625); mpfr_init_set_str(r16626, "-3.5438160870943954e-16", 10, MPFR_RNDN); 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(r16636); mpfr_init(r16637); mpfr_init(r16638); mpfr_init(r16639); mpfr_init(r16640); mpfr_init(r16641); mpfr_init_set_str(r16642, "0.0016565824112741959", 10, MPFR_RNDN); mpfr_init(r16643); mpfr_init(r16644); 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); mpfr_init(r16654); mpfr_init(r16655); mpfr_init_set_str(r16656, "1/3", 10, MPFR_RNDN); mpfr_init(r16657); mpfr_init(r16658); mpfr_init(r16659); mpfr_init_set_str(r16660, "4/3", 10, MPFR_RNDN); mpfr_init(r16661); mpfr_init(r16662); mpfr_init(r16663); mpfr_init_set_str(r16664, "4", 10, MPFR_RNDN); mpfr_init(r16665); mpfr_init(r16666); mpfr_init(r16667); mpfr_init(r16668); mpfr_init(r16669); mpfr_init(r16670); mpfr_init(r16671); mpfr_init(r16672); mpfr_init(r16673); } double f_dm(double x, double eps) { mpfr_set_d(r16625, eps, MPFR_RNDN); ; mpfr_set_si(r16627, mpfr_cmp(r16625, r16626) <= 0, MPFR_RNDN); mpfr_set_d(r16628, x, MPFR_RNDN); mpfr_sin(r16629, r16628, MPFR_RNDN); mpfr_cos(r16630, r16625, MPFR_RNDN); mpfr_mul(r16631, r16629, r16630, MPFR_RNDN); mpfr_cos(r16632, r16628, MPFR_RNDN); mpfr_sin(r16633, r16625, MPFR_RNDN); mpfr_mul(r16634, r16632, r16633, MPFR_RNDN); mpfr_add(r16635, r16631, r16634, MPFR_RNDN); mpfr_mul(r16636, r16632, r16630, MPFR_RNDN); mpfr_mul(r16637, r16629, r16633, MPFR_RNDN); mpfr_sub(r16638, r16636, r16637, MPFR_RNDN); mpfr_div(r16639, r16635, r16638, MPFR_RNDN); mpfr_tan(r16640, r16628, MPFR_RNDN); mpfr_sub(r16641, r16639, r16640, MPFR_RNDN); ; mpfr_set_si(r16643, mpfr_cmp(r16625, r16642) <= 0, MPFR_RNDN); mpfr_div(r16644, r16632, r16629, MPFR_RNDN); mpfr_sqr(r16645, r16644, MPFR_RNDN); mpfr_div(r16646, r16625, r16645, MPFR_RNDN); mpfr_sqr(r16647, r16625, MPFR_RNDN); mpfr_div(r16648, r16647, r16632, MPFR_RNDN); mpfr_mul(r16649, r16648, r16629, MPFR_RNDN); mpfr_add(r16650, r16646, r16649, MPFR_RNDN); mpfr_mul(r16651, r16629, r16629, MPFR_RNDN); mpfr_mul(r16651, r16651, r16629, MPFR_RNDN); mpfr_mul(r16652, r16632, r16632, MPFR_RNDN); mpfr_mul(r16652, r16652, r16632, MPFR_RNDN); mpfr_div(r16653, r16652, r16647, MPFR_RNDN); mpfr_div(r16654, r16651, r16653, MPFR_RNDN); mpfr_add(r16655, r16650, r16654, MPFR_RNDN); ; mpfr_mul(r16657, r16625, r16625, MPFR_RNDN); mpfr_mul(r16657, r16657, r16625, MPFR_RNDN); mpfr_mul(r16658, r16656, r16657, MPFR_RNDN); mpfr_add(r16659, r16658, r16625, MPFR_RNDN); ; mpfr_mul(r16661, r16660, r16625, MPFR_RNDN); mpfr_mul(r16662, r16661, r16647, MPFR_RNDN); mpfr_div(r16663, r16662, r16645, MPFR_RNDN); ; mpfr_pow(r16665, r16632, r16664, MPFR_RNDN); mpfr_pow(r16666, r16629, r16664, MPFR_RNDN); mpfr_div(r16667, r16665, r16666, MPFR_RNDN); mpfr_div(r16668, r16657, r16667, MPFR_RNDN); mpfr_add(r16669, r16663, r16668, MPFR_RNDN); mpfr_add(r16670, r16659, r16669, MPFR_RNDN); mpfr_add(r16671, r16655, r16670, MPFR_RNDN); if (mpfr_get_si(r16643, MPFR_RNDN)) { mpfr_set(r16672, r16671, MPFR_RNDN); } else { mpfr_set(r16672, r16641, MPFR_RNDN); }; if (mpfr_get_si(r16627, MPFR_RNDN)) { mpfr_set(r16673, r16641, MPFR_RNDN); } else { mpfr_set(r16673, r16672, MPFR_RNDN); }; return mpfr_get_d(r16673, MPFR_RNDN); }