#include #include #include #include #include char *name = "NMSE problem 3.3.2"; double f_if(float x, float eps) { float r16508 = x; float r16509 = eps; float r16510 = r16508 + r16509; float r16511 = tan(r16510); float r16512 = tan(r16508); float r16513 = r16511 - r16512; return r16513; } double f_id(double x, double eps) { double r16514 = x; double r16515 = eps; double r16516 = r16514 + r16515; double r16517 = tan(r16516); double r16518 = tan(r16514); double r16519 = r16517 - r16518; return r16519; } double f_of(float x, float eps) { float r16520 = eps; float r16521 = -8.102966659834604e-08f; bool r16522 = r16520 <= r16521; float r16523 = x; float r16524 = sin(r16523); float r16525 = cos(r16520); float r16526 = r16524 * r16525; float r16527 = cos(r16523); float r16528 = sin(r16520); float r16529 = r16527 * r16528; float r16530 = r16526 + r16529; float r16531 = r16527 * r16525; float r16532 = r16524 * r16528; float r16533 = r16531 - r16532; float r16534 = r16530 / r16533; float r16535 = tan(r16523); float r16536 = r16534 - r16535; float r16537 = 8.510050417588485e-09f; bool r16538 = r16520 <= r16537; float r16539 = r16527 / r16524; float r16540 = r16539 * r16539; float r16541 = r16520 / r16540; float r16542 = r16520 * r16520; float r16543 = r16542 / r16527; float r16544 = r16543 * r16524; float r16545 = r16541 + r16544; float r16546 = r16524 * (r16524 * r16524); float r16547 = r16527 * (r16527 * r16527); float r16548 = r16547 / r16542; float r16549 = r16546 / r16548; float r16550 = r16545 + r16549; float r16551 = 0.3333333333333333f; float r16552 = r16520 * (r16520 * r16520); float r16553 = r16551 * r16552; float r16554 = r16553 + r16520; float r16555 = 1.3333333333333333f; float r16556 = r16555 * r16520; float r16557 = r16556 * r16542; float r16558 = r16557 / r16540; float r16559 = 4.0f; float r16560 = pow(r16527, r16559); float r16561 = pow(r16524, r16559); float r16562 = r16560 / r16561; float r16563 = r16552 / r16562; float r16564 = r16558 + r16563; float r16565 = r16554 + r16564; float r16566 = r16550 + r16565; float r16567 = r16538 ? r16566 : r16536; float r16568 = r16522 ? r16536 : r16567; return r16568; } double f_od(double x, double eps) { double r16569 = eps; double r16570 = -8.102966659834604e-08; bool r16571 = r16569 <= r16570; double r16572 = x; double r16573 = sin(r16572); double r16574 = cos(r16569); double r16575 = r16573 * r16574; double r16576 = cos(r16572); double r16577 = sin(r16569); double r16578 = r16576 * r16577; double r16579 = r16575 + r16578; double r16580 = r16576 * r16574; double r16581 = r16573 * r16577; double r16582 = r16580 - r16581; double r16583 = r16579 / r16582; double r16584 = tan(r16572); double r16585 = r16583 - r16584; double r16586 = 8.510050417588485e-09; bool r16587 = r16569 <= r16586; double r16588 = r16576 / r16573; double r16589 = r16588 * r16588; double r16590 = r16569 / r16589; double r16591 = r16569 * r16569; double r16592 = r16591 / r16576; double r16593 = r16592 * r16573; double r16594 = r16590 + r16593; double r16595 = r16573 * (r16573 * r16573); double r16596 = r16576 * (r16576 * r16576); double r16597 = r16596 / r16591; double r16598 = r16595 / r16597; double r16599 = r16594 + r16598; double r16600 = 0.3333333333333333; double r16601 = r16569 * (r16569 * r16569); double r16602 = r16600 * r16601; double r16603 = r16602 + r16569; double r16604 = 1.3333333333333333; double r16605 = r16604 * r16569; double r16606 = r16605 * r16591; double r16607 = r16606 / r16589; double r16608 = 4.0; double r16609 = pow(r16576, r16608); double r16610 = pow(r16573, r16608); double r16611 = r16609 / r16610; double r16612 = r16601 / r16611; double r16613 = r16607 + r16612; double r16614 = r16603 + r16613; double r16615 = r16599 + r16614; double r16616 = r16587 ? r16615 : r16585; double r16617 = r16571 ? r16585 : r16616; return r16617; } 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 r16618, r16619, r16620, r16621, r16622, r16623; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r16618); mpfr_init(r16619); mpfr_init(r16620); mpfr_init(r16621); mpfr_init(r16622); mpfr_init(r16623); } double f_im(double x, double eps) { mpfr_set_d(r16618, x, MPFR_RNDN); mpfr_set_d(r16619, eps, MPFR_RNDN); mpfr_add(r16620, r16618, r16619, MPFR_RNDN); mpfr_tan(r16621, r16620, MPFR_RNDN); mpfr_tan(r16622, r16618, MPFR_RNDN); mpfr_sub(r16623, r16621, r16622, MPFR_RNDN); return mpfr_get_d(r16623, MPFR_RNDN); } static mpfr_t 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, r16654, r16655, r16656, r16657, r16658, r16659, r16660, r16661, r16662, r16663, r16664, r16665, r16666, r16667, r16668, r16669, r16670, r16671, r16672; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init(r16624); mpfr_init_set_str(r16625, "-8.102966659834604e-08", 10, MPFR_RNDN); 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(r16636); mpfr_init(r16637); mpfr_init(r16638); mpfr_init(r16639); mpfr_init(r16640); mpfr_init_set_str(r16641, "8.510050417588485e-09", 10, MPFR_RNDN); mpfr_init(r16642); 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_set_str(r16655, "1/3", 10, MPFR_RNDN); mpfr_init(r16656); mpfr_init(r16657); mpfr_init(r16658); mpfr_init_set_str(r16659, "4/3", 10, MPFR_RNDN); mpfr_init(r16660); mpfr_init(r16661); mpfr_init(r16662); mpfr_init_set_str(r16663, "4", 10, MPFR_RNDN); mpfr_init(r16664); mpfr_init(r16665); mpfr_init(r16666); mpfr_init(r16667); mpfr_init(r16668); mpfr_init(r16669); mpfr_init(r16670); mpfr_init(r16671); mpfr_init(r16672); } double f_fm(double x, double eps) { mpfr_set_d(r16624, eps, MPFR_RNDN); ; mpfr_set_si(r16626, mpfr_cmp(r16624, r16625) <= 0, MPFR_RNDN); mpfr_set_d(r16627, x, MPFR_RNDN); mpfr_sin(r16628, r16627, MPFR_RNDN); mpfr_cos(r16629, r16624, MPFR_RNDN); mpfr_mul(r16630, r16628, r16629, MPFR_RNDN); mpfr_cos(r16631, r16627, MPFR_RNDN); mpfr_sin(r16632, r16624, MPFR_RNDN); mpfr_mul(r16633, r16631, r16632, MPFR_RNDN); mpfr_add(r16634, r16630, r16633, MPFR_RNDN); mpfr_mul(r16635, r16631, r16629, MPFR_RNDN); mpfr_mul(r16636, r16628, r16632, MPFR_RNDN); mpfr_sub(r16637, r16635, r16636, MPFR_RNDN); mpfr_div(r16638, r16634, r16637, MPFR_RNDN); mpfr_tan(r16639, r16627, MPFR_RNDN); mpfr_sub(r16640, r16638, r16639, MPFR_RNDN); ; mpfr_set_si(r16642, mpfr_cmp(r16624, r16641) <= 0, MPFR_RNDN); mpfr_div(r16643, r16631, r16628, MPFR_RNDN); mpfr_sqr(r16644, r16643, MPFR_RNDN); mpfr_div(r16645, r16624, r16644, MPFR_RNDN); mpfr_sqr(r16646, r16624, MPFR_RNDN); mpfr_div(r16647, r16646, r16631, MPFR_RNDN); mpfr_mul(r16648, r16647, r16628, MPFR_RNDN); mpfr_add(r16649, r16645, r16648, MPFR_RNDN); mpfr_mul(r16650, r16628, r16628, MPFR_RNDN); mpfr_mul(r16650, r16650, r16628, MPFR_RNDN); mpfr_mul(r16651, r16631, r16631, MPFR_RNDN); mpfr_mul(r16651, r16651, r16631, MPFR_RNDN); mpfr_div(r16652, r16651, r16646, MPFR_RNDN); mpfr_div(r16653, r16650, r16652, MPFR_RNDN); mpfr_add(r16654, r16649, r16653, MPFR_RNDN); ; mpfr_mul(r16656, r16624, r16624, MPFR_RNDN); mpfr_mul(r16656, r16656, r16624, MPFR_RNDN); mpfr_mul(r16657, r16655, r16656, MPFR_RNDN); mpfr_add(r16658, r16657, r16624, MPFR_RNDN); ; mpfr_mul(r16660, r16659, r16624, MPFR_RNDN); mpfr_mul(r16661, r16660, r16646, MPFR_RNDN); mpfr_div(r16662, r16661, r16644, MPFR_RNDN); ; mpfr_pow(r16664, r16631, r16663, MPFR_RNDN); mpfr_pow(r16665, r16628, r16663, MPFR_RNDN); mpfr_div(r16666, r16664, r16665, MPFR_RNDN); mpfr_div(r16667, r16656, r16666, MPFR_RNDN); mpfr_add(r16668, r16662, r16667, MPFR_RNDN); mpfr_add(r16669, r16658, r16668, MPFR_RNDN); mpfr_add(r16670, r16654, r16669, MPFR_RNDN); if (mpfr_get_si(r16642, MPFR_RNDN)) { mpfr_set(r16671, r16670, MPFR_RNDN); } else { mpfr_set(r16671, r16640, MPFR_RNDN); }; if (mpfr_get_si(r16626, MPFR_RNDN)) { mpfr_set(r16672, r16640, MPFR_RNDN); } else { mpfr_set(r16672, r16671, MPFR_RNDN); }; return mpfr_get_d(r16672, MPFR_RNDN); } static mpfr_t r16673, r16674, r16675, r16676, r16677, r16678, r16679, r16680, r16681, r16682, r16683, r16684, r16685, r16686, r16687, r16688, r16689, r16690, r16691, r16692, r16693, r16694, r16695, r16696, r16697, r16698, r16699, r16700, r16701, r16702, r16703, r16704, r16705, r16706, r16707, r16708, r16709, r16710, r16711, r16712, r16713, r16714, r16715, r16716, r16717, r16718, r16719, r16720, r16721; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init(r16673); mpfr_init_set_str(r16674, "-8.102966659834604e-08", 10, MPFR_RNDN); mpfr_init(r16675); mpfr_init(r16676); mpfr_init(r16677); mpfr_init(r16678); mpfr_init(r16679); mpfr_init(r16680); mpfr_init(r16681); mpfr_init(r16682); mpfr_init(r16683); mpfr_init(r16684); mpfr_init(r16685); mpfr_init(r16686); mpfr_init(r16687); mpfr_init(r16688); mpfr_init(r16689); mpfr_init_set_str(r16690, "8.510050417588485e-09", 10, MPFR_RNDN); mpfr_init(r16691); mpfr_init(r16692); mpfr_init(r16693); mpfr_init(r16694); mpfr_init(r16695); mpfr_init(r16696); mpfr_init(r16697); mpfr_init(r16698); mpfr_init(r16699); mpfr_init(r16700); mpfr_init(r16701); mpfr_init(r16702); mpfr_init(r16703); mpfr_init_set_str(r16704, "1/3", 10, MPFR_RNDN); mpfr_init(r16705); mpfr_init(r16706); mpfr_init(r16707); mpfr_init_set_str(r16708, "4/3", 10, MPFR_RNDN); mpfr_init(r16709); mpfr_init(r16710); mpfr_init(r16711); mpfr_init_set_str(r16712, "4", 10, MPFR_RNDN); mpfr_init(r16713); mpfr_init(r16714); mpfr_init(r16715); mpfr_init(r16716); mpfr_init(r16717); mpfr_init(r16718); mpfr_init(r16719); mpfr_init(r16720); mpfr_init(r16721); } double f_dm(double x, double eps) { mpfr_set_d(r16673, eps, MPFR_RNDN); ; mpfr_set_si(r16675, mpfr_cmp(r16673, r16674) <= 0, MPFR_RNDN); mpfr_set_d(r16676, x, MPFR_RNDN); mpfr_sin(r16677, r16676, MPFR_RNDN); mpfr_cos(r16678, r16673, MPFR_RNDN); mpfr_mul(r16679, r16677, r16678, MPFR_RNDN); mpfr_cos(r16680, r16676, MPFR_RNDN); mpfr_sin(r16681, r16673, MPFR_RNDN); mpfr_mul(r16682, r16680, r16681, MPFR_RNDN); mpfr_add(r16683, r16679, r16682, MPFR_RNDN); mpfr_mul(r16684, r16680, r16678, MPFR_RNDN); mpfr_mul(r16685, r16677, r16681, MPFR_RNDN); mpfr_sub(r16686, r16684, r16685, MPFR_RNDN); mpfr_div(r16687, r16683, r16686, MPFR_RNDN); mpfr_tan(r16688, r16676, MPFR_RNDN); mpfr_sub(r16689, r16687, r16688, MPFR_RNDN); ; mpfr_set_si(r16691, mpfr_cmp(r16673, r16690) <= 0, MPFR_RNDN); mpfr_div(r16692, r16680, r16677, MPFR_RNDN); mpfr_sqr(r16693, r16692, MPFR_RNDN); mpfr_div(r16694, r16673, r16693, MPFR_RNDN); mpfr_sqr(r16695, r16673, MPFR_RNDN); mpfr_div(r16696, r16695, r16680, MPFR_RNDN); mpfr_mul(r16697, r16696, r16677, MPFR_RNDN); mpfr_add(r16698, r16694, r16697, MPFR_RNDN); mpfr_mul(r16699, r16677, r16677, MPFR_RNDN); mpfr_mul(r16699, r16699, r16677, MPFR_RNDN); mpfr_mul(r16700, r16680, r16680, MPFR_RNDN); mpfr_mul(r16700, r16700, r16680, MPFR_RNDN); mpfr_div(r16701, r16700, r16695, MPFR_RNDN); mpfr_div(r16702, r16699, r16701, MPFR_RNDN); mpfr_add(r16703, r16698, r16702, MPFR_RNDN); ; mpfr_mul(r16705, r16673, r16673, MPFR_RNDN); mpfr_mul(r16705, r16705, r16673, MPFR_RNDN); mpfr_mul(r16706, r16704, r16705, MPFR_RNDN); mpfr_add(r16707, r16706, r16673, MPFR_RNDN); ; mpfr_mul(r16709, r16708, r16673, MPFR_RNDN); mpfr_mul(r16710, r16709, r16695, MPFR_RNDN); mpfr_div(r16711, r16710, r16693, MPFR_RNDN); ; mpfr_pow(r16713, r16680, r16712, MPFR_RNDN); mpfr_pow(r16714, r16677, r16712, MPFR_RNDN); mpfr_div(r16715, r16713, r16714, MPFR_RNDN); mpfr_div(r16716, r16705, r16715, MPFR_RNDN); mpfr_add(r16717, r16711, r16716, MPFR_RNDN); mpfr_add(r16718, r16707, r16717, MPFR_RNDN); mpfr_add(r16719, r16703, r16718, MPFR_RNDN); if (mpfr_get_si(r16691, MPFR_RNDN)) { mpfr_set(r16720, r16719, MPFR_RNDN); } else { mpfr_set(r16720, r16689, MPFR_RNDN); }; if (mpfr_get_si(r16675, MPFR_RNDN)) { mpfr_set(r16721, r16689, MPFR_RNDN); } else { mpfr_set(r16721, r16720, MPFR_RNDN); }; return mpfr_get_d(r16721, MPFR_RNDN); }