#include #include #include #include #include char *name = "NMSE problem 3.3.2"; double f_if(float x, float eps) { float r16544 = x; float r16545 = eps; float r16546 = r16544 + r16545; float r16547 = tan(r16546); float r16548 = tan(r16544); float r16549 = r16547 - r16548; return r16549; } double f_id(double x, double eps) { double r16550 = x; double r16551 = eps; double r16552 = r16550 + r16551; double r16553 = tan(r16552); double r16554 = tan(r16550); double r16555 = r16553 - r16554; return r16555; } double f_of(float x, float eps) { float r16556 = x; float r16557 = eps; float r16558 = r16556 + r16557; float r16559 = tan(r16558); float r16560 = tan(r16556); float r16561 = r16559 - r16560; float r16562 = -0.005046448670327663f; bool r16563 = r16561 <= r16562; float r16564 = 1.0f; float r16565 = 1.0 / tan(r16558); float r16566 = r16564 / r16565; float r16567 = cbrt(r16560); float r16568 = r16567 * (r16567 * r16567); float r16569 = r16566 - r16568; float r16570 = 0.0006144298240542412f; bool r16571 = r16561 <= r16570; float r16572 = cos(r16556); float r16573 = sin(r16556); float r16574 = r16572 / r16573; float r16575 = r16574 * r16574; float r16576 = r16557 / r16575; float r16577 = r16557 * r16557; float r16578 = r16577 / r16572; float r16579 = r16578 * r16573; float r16580 = r16576 + r16579; float r16581 = r16573 * (r16573 * r16573); float r16582 = r16572 * (r16572 * r16572); float r16583 = r16582 / r16577; float r16584 = r16581 / r16583; float r16585 = r16580 + r16584; float r16586 = 0.3333333432674408f; float r16587 = r16557 * (r16557 * r16557); float r16588 = r16586 * r16587; float r16589 = r16588 + r16557; float r16590 = 1.3333333730697632f; float r16591 = r16590 * r16557; float r16592 = r16591 * r16577; float r16593 = r16592 / r16575; float r16594 = 4.0f; float r16595 = pow(r16572, r16594); float r16596 = pow(r16573, r16594); float r16597 = r16595 / r16596; float r16598 = r16587 / r16597; float r16599 = r16593 + r16598; float r16600 = r16589 + r16599; float r16601 = r16585 + r16600; float r16602 = r16571 ? r16601 : r16569; float r16603 = r16563 ? r16569 : r16602; return r16603; } double f_od(double x, double eps) { double r16604 = x; double r16605 = eps; double r16606 = r16604 + r16605; double r16607 = tan(r16606); double r16608 = tan(r16604); double r16609 = r16607 - r16608; double r16610 = -0.005046448670327663; bool r16611 = r16609 <= r16610; double r16612 = 1.0; double r16613 = 1.0 / tan(r16606); double r16614 = r16612 / r16613; double r16615 = cbrt(r16608); double r16616 = r16615 * (r16615 * r16615); double r16617 = r16614 - r16616; double r16618 = 0.0006144298240542412; bool r16619 = r16609 <= r16618; double r16620 = cos(r16604); double r16621 = sin(r16604); double r16622 = r16620 / r16621; double r16623 = r16622 * r16622; double r16624 = r16605 / r16623; double r16625 = r16605 * r16605; double r16626 = r16625 / r16620; double r16627 = r16626 * r16621; double r16628 = r16624 + r16627; double r16629 = r16621 * (r16621 * r16621); double r16630 = r16620 * (r16620 * r16620); double r16631 = r16630 / r16625; double r16632 = r16629 / r16631; double r16633 = r16628 + r16632; double r16634 = 0.3333333432674408; double r16635 = r16605 * (r16605 * r16605); double r16636 = r16634 * r16635; double r16637 = r16636 + r16605; double r16638 = 1.3333333730697632; double r16639 = r16638 * r16605; double r16640 = r16639 * r16625; double r16641 = r16640 / r16623; double r16642 = 4.0; double r16643 = pow(r16620, r16642); double r16644 = pow(r16621, r16642); double r16645 = r16643 / r16644; double r16646 = r16635 / r16645; double r16647 = r16641 + r16646; double r16648 = r16637 + r16647; double r16649 = r16633 + r16648; double r16650 = r16619 ? r16649 : r16617; double r16651 = r16611 ? r16617 : r16650; return r16651; } 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 r16652, r16653, r16654, r16655, r16656, r16657; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r16652); mpfr_init(r16653); mpfr_init(r16654); mpfr_init(r16655); mpfr_init(r16656); mpfr_init(r16657); } double f_im(double x, double eps) { mpfr_set_d(r16652, x, MPFR_RNDN); mpfr_set_d(r16653, eps, MPFR_RNDN); mpfr_add(r16654, r16652, r16653, MPFR_RNDN); mpfr_tan(r16655, r16654, MPFR_RNDN); mpfr_tan(r16656, r16652, MPFR_RNDN); mpfr_sub(r16657, r16655, r16656, MPFR_RNDN); return mpfr_get_d(r16657, MPFR_RNDN); } static mpfr_t r16658, r16659, r16660, r16661, r16662, r16663, r16664, r16665, r16666, r16667, r16668, r16669, r16670, r16671, r16672, 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; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init(r16658); mpfr_init(r16659); mpfr_init(r16660); mpfr_init(r16661); mpfr_init(r16662); mpfr_init(r16663); mpfr_init_set_str(r16664, "-0.0050464487f0", 10, MPFR_RNDN); mpfr_init(r16665); mpfr_init_set_str(r16666, "1", 10, MPFR_RNDN); mpfr_init(r16667); mpfr_init(r16668); mpfr_init(r16669); mpfr_init(r16670); mpfr_init(r16671); mpfr_init_set_str(r16672, "0.0006144298f0", 10, MPFR_RNDN); mpfr_init(r16673); mpfr_init(r16674); 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_set_str(r16688, "1/3", 10, MPFR_RNDN); mpfr_init(r16689); mpfr_init(r16690); mpfr_init(r16691); mpfr_init_set_str(r16692, "4/3", 10, MPFR_RNDN); mpfr_init(r16693); mpfr_init(r16694); mpfr_init(r16695); mpfr_init_set_str(r16696, "4", 10, MPFR_RNDN); mpfr_init(r16697); mpfr_init(r16698); mpfr_init(r16699); mpfr_init(r16700); mpfr_init(r16701); mpfr_init(r16702); mpfr_init(r16703); mpfr_init(r16704); mpfr_init(r16705); } double f_fm(double x, double eps) { mpfr_set_d(r16658, x, MPFR_RNDN); mpfr_set_d(r16659, eps, MPFR_RNDN); mpfr_add(r16660, r16658, r16659, MPFR_RNDN); mpfr_tan(r16661, r16660, MPFR_RNDN); mpfr_tan(r16662, r16658, MPFR_RNDN); mpfr_sub(r16663, r16661, r16662, MPFR_RNDN); ; mpfr_set_si(r16665, mpfr_cmp(r16663, r16664) <= 0, MPFR_RNDN); ; mpfr_cot(r16667, r16660, MPFR_RNDN); mpfr_div(r16668, r16666, r16667, MPFR_RNDN); mpfr_cbrt(r16669, r16662, MPFR_RNDN); mpfr_mul(r16670, r16669, r16669, MPFR_RNDN); mpfr_mul(r16670, r16670, r16669, MPFR_RNDN); mpfr_sub(r16671, r16668, r16670, MPFR_RNDN); ; mpfr_set_si(r16673, mpfr_cmp(r16663, r16672) <= 0, MPFR_RNDN); mpfr_cos(r16674, r16658, MPFR_RNDN); mpfr_sin(r16675, r16658, MPFR_RNDN); mpfr_div(r16676, r16674, r16675, MPFR_RNDN); mpfr_sqr(r16677, r16676, MPFR_RNDN); mpfr_div(r16678, r16659, r16677, MPFR_RNDN); mpfr_sqr(r16679, r16659, MPFR_RNDN); mpfr_div(r16680, r16679, r16674, MPFR_RNDN); mpfr_mul(r16681, r16680, r16675, MPFR_RNDN); mpfr_add(r16682, r16678, r16681, MPFR_RNDN); mpfr_mul(r16683, r16675, r16675, MPFR_RNDN); mpfr_mul(r16683, r16683, r16675, MPFR_RNDN); mpfr_mul(r16684, r16674, r16674, MPFR_RNDN); mpfr_mul(r16684, r16684, r16674, MPFR_RNDN); mpfr_div(r16685, r16684, r16679, MPFR_RNDN); mpfr_div(r16686, r16683, r16685, MPFR_RNDN); mpfr_add(r16687, r16682, r16686, MPFR_RNDN); ; mpfr_mul(r16689, r16659, r16659, MPFR_RNDN); mpfr_mul(r16689, r16689, r16659, MPFR_RNDN); mpfr_mul(r16690, r16688, r16689, MPFR_RNDN); mpfr_add(r16691, r16690, r16659, MPFR_RNDN); ; mpfr_mul(r16693, r16692, r16659, MPFR_RNDN); mpfr_mul(r16694, r16693, r16679, MPFR_RNDN); mpfr_div(r16695, r16694, r16677, MPFR_RNDN); ; mpfr_pow(r16697, r16674, r16696, MPFR_RNDN); mpfr_pow(r16698, r16675, r16696, MPFR_RNDN); mpfr_div(r16699, r16697, r16698, MPFR_RNDN); mpfr_div(r16700, r16689, r16699, MPFR_RNDN); mpfr_add(r16701, r16695, r16700, MPFR_RNDN); mpfr_add(r16702, r16691, r16701, MPFR_RNDN); mpfr_add(r16703, r16687, r16702, MPFR_RNDN); if (mpfr_get_si(r16673, MPFR_RNDN)) { mpfr_set(r16704, r16703, MPFR_RNDN); } else { mpfr_set(r16704, r16671, MPFR_RNDN); }; if (mpfr_get_si(r16665, MPFR_RNDN)) { mpfr_set(r16705, r16671, MPFR_RNDN); } else { mpfr_set(r16705, r16704, MPFR_RNDN); }; return mpfr_get_d(r16705, MPFR_RNDN); } static mpfr_t r16706, r16707, r16708, r16709, r16710, r16711, r16712, r16713, r16714, r16715, r16716, r16717, r16718, r16719, r16720, r16721, r16722, r16723, r16724, r16725, r16726, r16727, r16728, r16729, r16730, r16731, r16732, r16733, r16734, r16735, r16736, r16737, r16738, r16739, r16740, r16741, r16742, r16743, r16744, r16745, r16746, r16747, r16748, r16749, r16750, r16751, r16752, r16753; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init(r16706); mpfr_init(r16707); mpfr_init(r16708); mpfr_init(r16709); mpfr_init(r16710); mpfr_init(r16711); mpfr_init_set_str(r16712, "-0.0050464487f0", 10, MPFR_RNDN); mpfr_init(r16713); mpfr_init_set_str(r16714, "1", 10, MPFR_RNDN); mpfr_init(r16715); mpfr_init(r16716); mpfr_init(r16717); mpfr_init(r16718); mpfr_init(r16719); mpfr_init_set_str(r16720, "0.0006144298f0", 10, MPFR_RNDN); mpfr_init(r16721); mpfr_init(r16722); mpfr_init(r16723); mpfr_init(r16724); mpfr_init(r16725); mpfr_init(r16726); mpfr_init(r16727); mpfr_init(r16728); mpfr_init(r16729); mpfr_init(r16730); mpfr_init(r16731); mpfr_init(r16732); mpfr_init(r16733); mpfr_init(r16734); mpfr_init(r16735); mpfr_init_set_str(r16736, "1/3", 10, MPFR_RNDN); mpfr_init(r16737); mpfr_init(r16738); mpfr_init(r16739); mpfr_init_set_str(r16740, "4/3", 10, MPFR_RNDN); mpfr_init(r16741); mpfr_init(r16742); mpfr_init(r16743); mpfr_init_set_str(r16744, "4", 10, MPFR_RNDN); mpfr_init(r16745); mpfr_init(r16746); mpfr_init(r16747); mpfr_init(r16748); mpfr_init(r16749); mpfr_init(r16750); mpfr_init(r16751); mpfr_init(r16752); mpfr_init(r16753); } double f_dm(double x, double eps) { mpfr_set_d(r16706, x, MPFR_RNDN); mpfr_set_d(r16707, eps, MPFR_RNDN); mpfr_add(r16708, r16706, r16707, MPFR_RNDN); mpfr_tan(r16709, r16708, MPFR_RNDN); mpfr_tan(r16710, r16706, MPFR_RNDN); mpfr_sub(r16711, r16709, r16710, MPFR_RNDN); ; mpfr_set_si(r16713, mpfr_cmp(r16711, r16712) <= 0, MPFR_RNDN); ; mpfr_cot(r16715, r16708, MPFR_RNDN); mpfr_div(r16716, r16714, r16715, MPFR_RNDN); mpfr_cbrt(r16717, r16710, MPFR_RNDN); mpfr_mul(r16718, r16717, r16717, MPFR_RNDN); mpfr_mul(r16718, r16718, r16717, MPFR_RNDN); mpfr_sub(r16719, r16716, r16718, MPFR_RNDN); ; mpfr_set_si(r16721, mpfr_cmp(r16711, r16720) <= 0, MPFR_RNDN); mpfr_cos(r16722, r16706, MPFR_RNDN); mpfr_sin(r16723, r16706, MPFR_RNDN); mpfr_div(r16724, r16722, r16723, MPFR_RNDN); mpfr_sqr(r16725, r16724, MPFR_RNDN); mpfr_div(r16726, r16707, r16725, MPFR_RNDN); mpfr_sqr(r16727, r16707, MPFR_RNDN); mpfr_div(r16728, r16727, r16722, MPFR_RNDN); mpfr_mul(r16729, r16728, r16723, MPFR_RNDN); mpfr_add(r16730, r16726, r16729, MPFR_RNDN); mpfr_mul(r16731, r16723, r16723, MPFR_RNDN); mpfr_mul(r16731, r16731, r16723, MPFR_RNDN); mpfr_mul(r16732, r16722, r16722, MPFR_RNDN); mpfr_mul(r16732, r16732, r16722, MPFR_RNDN); mpfr_div(r16733, r16732, r16727, MPFR_RNDN); mpfr_div(r16734, r16731, r16733, MPFR_RNDN); mpfr_add(r16735, r16730, r16734, MPFR_RNDN); ; mpfr_mul(r16737, r16707, r16707, MPFR_RNDN); mpfr_mul(r16737, r16737, r16707, MPFR_RNDN); mpfr_mul(r16738, r16736, r16737, MPFR_RNDN); mpfr_add(r16739, r16738, r16707, MPFR_RNDN); ; mpfr_mul(r16741, r16740, r16707, MPFR_RNDN); mpfr_mul(r16742, r16741, r16727, MPFR_RNDN); mpfr_div(r16743, r16742, r16725, MPFR_RNDN); ; mpfr_pow(r16745, r16722, r16744, MPFR_RNDN); mpfr_pow(r16746, r16723, r16744, MPFR_RNDN); mpfr_div(r16747, r16745, r16746, MPFR_RNDN); mpfr_div(r16748, r16737, r16747, MPFR_RNDN); mpfr_add(r16749, r16743, r16748, MPFR_RNDN); mpfr_add(r16750, r16739, r16749, MPFR_RNDN); mpfr_add(r16751, r16735, r16750, MPFR_RNDN); if (mpfr_get_si(r16721, MPFR_RNDN)) { mpfr_set(r16752, r16751, MPFR_RNDN); } else { mpfr_set(r16752, r16719, MPFR_RNDN); }; if (mpfr_get_si(r16713, MPFR_RNDN)) { mpfr_set(r16753, r16719, MPFR_RNDN); } else { mpfr_set(r16753, r16752, MPFR_RNDN); }; return mpfr_get_d(r16753, MPFR_RNDN); }