#include #include #include #include #include char *name = "NMSE problem 3.3.2"; double f_if(float x, float eps) { float r16580 = x; float r16581 = eps; float r16582 = r16580 + r16581; float r16583 = tan(r16582); float r16584 = tan(r16580); float r16585 = r16583 - r16584; return r16585; } double f_id(double x, double eps) { double r16586 = x; double r16587 = eps; double r16588 = r16586 + r16587; double r16589 = tan(r16588); double r16590 = tan(r16586); double r16591 = r16589 - r16590; return r16591; } double f_of(float x, float eps) { float r16592 = eps; float r16593 = -3.2784791869173944e-06f; bool r16594 = r16592 <= r16593; float r16595 = x; float r16596 = r16595 + r16592; float r16597 = sin(r16596); float r16598 = cos(r16595); float r16599 = cos(r16592); float r16600 = r16598 * r16599; float r16601 = sin(r16595); float r16602 = sin(r16592); float r16603 = r16601 * r16602; float r16604 = r16600 - r16603; float r16605 = r16597 / r16604; float r16606 = tan(r16595); float r16607 = r16605 - r16606; float r16608 = 5.4458409913370574e-05f; bool r16609 = r16592 <= r16608; float r16610 = r16592 * r16592; float r16611 = r16610 / r16598; float r16612 = r16611 * r16601; float r16613 = r16612 + r16592; float r16614 = r16601 / r16598; float r16615 = r16601 * (r16601 * r16601); float r16616 = r16615 * r16610; float r16617 = r16598 * (r16598 * r16598); float r16618 = r16616 / r16617; float r16619 = r16614 + r16618; float r16620 = r16598 / r16601; float r16621 = r16592 / r16620; float r16622 = r16621 / r16620; float r16623 = r16619 + r16622; float r16624 = r16623 - r16606; float r16625 = r16613 + r16624; float r16626 = r16601 * r16599; float r16627 = r16598 * r16602; float r16628 = r16626 + r16627; float r16629 = cos(r16596); float r16630 = r16628 / r16629; float r16631 = r16630 - r16606; float r16632 = r16609 ? r16625 : r16631; float r16633 = r16594 ? r16607 : r16632; return r16633; } double f_od(double x, double eps) { double r16634 = eps; double r16635 = -3.2784791869173944e-06; bool r16636 = r16634 <= r16635; double r16637 = x; double r16638 = r16637 + r16634; double r16639 = sin(r16638); double r16640 = cos(r16637); double r16641 = cos(r16634); double r16642 = r16640 * r16641; double r16643 = sin(r16637); double r16644 = sin(r16634); double r16645 = r16643 * r16644; double r16646 = r16642 - r16645; double r16647 = r16639 / r16646; double r16648 = tan(r16637); double r16649 = r16647 - r16648; double r16650 = 5.4458409913370574e-05; bool r16651 = r16634 <= r16650; double r16652 = r16634 * r16634; double r16653 = r16652 / r16640; double r16654 = r16653 * r16643; double r16655 = r16654 + r16634; double r16656 = r16643 / r16640; double r16657 = r16643 * (r16643 * r16643); double r16658 = r16657 * r16652; double r16659 = r16640 * (r16640 * r16640); double r16660 = r16658 / r16659; double r16661 = r16656 + r16660; double r16662 = r16640 / r16643; double r16663 = r16634 / r16662; double r16664 = r16663 / r16662; double r16665 = r16661 + r16664; double r16666 = r16665 - r16648; double r16667 = r16655 + r16666; double r16668 = r16643 * r16641; double r16669 = r16640 * r16644; double r16670 = r16668 + r16669; double r16671 = cos(r16638); double r16672 = r16670 / r16671; double r16673 = r16672 - r16648; double r16674 = r16651 ? r16667 : r16673; double r16675 = r16636 ? r16649 : r16674; return r16675; } 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 r16676, r16677, r16678, r16679, r16680, r16681; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r16676); mpfr_init(r16677); mpfr_init(r16678); mpfr_init(r16679); mpfr_init(r16680); mpfr_init(r16681); } double f_im(double x, double eps) { mpfr_set_d(r16676, x, MPFR_RNDN); mpfr_set_d(r16677, eps, MPFR_RNDN); mpfr_add(r16678, r16676, r16677, MPFR_RNDN); mpfr_tan(r16679, r16678, MPFR_RNDN); mpfr_tan(r16680, r16676, MPFR_RNDN); mpfr_sub(r16681, r16679, r16680, MPFR_RNDN); return mpfr_get_d(r16681, MPFR_RNDN); } static mpfr_t 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, r16722, r16723; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init(r16682); mpfr_init_set_str(r16683, "-3.2784791869173944e-06", 10, MPFR_RNDN); mpfr_init(r16684); mpfr_init(r16685); mpfr_init(r16686); mpfr_init(r16687); mpfr_init(r16688); mpfr_init(r16689); mpfr_init(r16690); mpfr_init(r16691); mpfr_init(r16692); mpfr_init(r16693); mpfr_init(r16694); mpfr_init(r16695); mpfr_init(r16696); mpfr_init(r16697); mpfr_init_set_str(r16698, "5.4458409913370574e-05", 10, MPFR_RNDN); mpfr_init(r16699); mpfr_init(r16700); mpfr_init(r16701); mpfr_init(r16702); mpfr_init(r16703); mpfr_init(r16704); mpfr_init(r16705); mpfr_init(r16706); mpfr_init(r16707); mpfr_init(r16708); mpfr_init(r16709); mpfr_init(r16710); mpfr_init(r16711); mpfr_init(r16712); 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); mpfr_init(r16722); mpfr_init(r16723); } double f_fm(double x, double eps) { mpfr_set_d(r16682, eps, MPFR_RNDN); ; mpfr_set_si(r16684, mpfr_cmp(r16682, r16683) <= 0, MPFR_RNDN); mpfr_set_d(r16685, x, MPFR_RNDN); mpfr_add(r16686, r16685, r16682, MPFR_RNDN); mpfr_sin(r16687, r16686, MPFR_RNDN); mpfr_cos(r16688, r16685, MPFR_RNDN); mpfr_cos(r16689, r16682, MPFR_RNDN); mpfr_mul(r16690, r16688, r16689, MPFR_RNDN); mpfr_sin(r16691, r16685, MPFR_RNDN); mpfr_sin(r16692, r16682, MPFR_RNDN); mpfr_mul(r16693, r16691, r16692, MPFR_RNDN); mpfr_sub(r16694, r16690, r16693, MPFR_RNDN); mpfr_div(r16695, r16687, r16694, MPFR_RNDN); mpfr_tan(r16696, r16685, MPFR_RNDN); mpfr_sub(r16697, r16695, r16696, MPFR_RNDN); ; mpfr_set_si(r16699, mpfr_cmp(r16682, r16698) <= 0, MPFR_RNDN); mpfr_sqr(r16700, r16682, MPFR_RNDN); mpfr_div(r16701, r16700, r16688, MPFR_RNDN); mpfr_mul(r16702, r16701, r16691, MPFR_RNDN); mpfr_add(r16703, r16702, r16682, MPFR_RNDN); mpfr_div(r16704, r16691, r16688, MPFR_RNDN); mpfr_mul(r16705, r16691, r16691, MPFR_RNDN); mpfr_mul(r16705, r16705, r16691, MPFR_RNDN); mpfr_mul(r16706, r16705, r16700, MPFR_RNDN); mpfr_mul(r16707, r16688, r16688, MPFR_RNDN); mpfr_mul(r16707, r16707, r16688, MPFR_RNDN); mpfr_div(r16708, r16706, r16707, MPFR_RNDN); mpfr_add(r16709, r16704, r16708, MPFR_RNDN); mpfr_div(r16710, r16688, r16691, MPFR_RNDN); mpfr_div(r16711, r16682, r16710, MPFR_RNDN); mpfr_div(r16712, r16711, r16710, MPFR_RNDN); mpfr_add(r16713, r16709, r16712, MPFR_RNDN); mpfr_sub(r16714, r16713, r16696, MPFR_RNDN); mpfr_add(r16715, r16703, r16714, MPFR_RNDN); mpfr_mul(r16716, r16691, r16689, MPFR_RNDN); mpfr_mul(r16717, r16688, r16692, MPFR_RNDN); mpfr_add(r16718, r16716, r16717, MPFR_RNDN); mpfr_cos(r16719, r16686, MPFR_RNDN); mpfr_div(r16720, r16718, r16719, MPFR_RNDN); mpfr_sub(r16721, r16720, r16696, MPFR_RNDN); if (mpfr_get_si(r16699, MPFR_RNDN)) { mpfr_set(r16722, r16715, MPFR_RNDN); } else { mpfr_set(r16722, r16721, MPFR_RNDN); }; if (mpfr_get_si(r16684, MPFR_RNDN)) { mpfr_set(r16723, r16697, MPFR_RNDN); } else { mpfr_set(r16723, r16722, MPFR_RNDN); }; return mpfr_get_d(r16723, MPFR_RNDN); } static mpfr_t 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, r16754, r16755, r16756, r16757, r16758, r16759, r16760, r16761, r16762, r16763, r16764, r16765; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init(r16724); mpfr_init_set_str(r16725, "-3.2784791869173944e-06", 10, MPFR_RNDN); 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(r16736); mpfr_init(r16737); mpfr_init(r16738); mpfr_init(r16739); mpfr_init_set_str(r16740, "5.4458409913370574e-05", 10, MPFR_RNDN); mpfr_init(r16741); mpfr_init(r16742); mpfr_init(r16743); mpfr_init(r16744); 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); mpfr_init(r16754); mpfr_init(r16755); mpfr_init(r16756); mpfr_init(r16757); mpfr_init(r16758); mpfr_init(r16759); mpfr_init(r16760); mpfr_init(r16761); mpfr_init(r16762); mpfr_init(r16763); mpfr_init(r16764); mpfr_init(r16765); } double f_dm(double x, double eps) { mpfr_set_d(r16724, eps, MPFR_RNDN); ; mpfr_set_si(r16726, mpfr_cmp(r16724, r16725) <= 0, MPFR_RNDN); mpfr_set_d(r16727, x, MPFR_RNDN); mpfr_add(r16728, r16727, r16724, MPFR_RNDN); mpfr_sin(r16729, r16728, MPFR_RNDN); mpfr_cos(r16730, r16727, MPFR_RNDN); mpfr_cos(r16731, r16724, MPFR_RNDN); mpfr_mul(r16732, r16730, r16731, MPFR_RNDN); mpfr_sin(r16733, r16727, MPFR_RNDN); mpfr_sin(r16734, r16724, MPFR_RNDN); mpfr_mul(r16735, r16733, r16734, MPFR_RNDN); mpfr_sub(r16736, r16732, r16735, MPFR_RNDN); mpfr_div(r16737, r16729, r16736, MPFR_RNDN); mpfr_tan(r16738, r16727, MPFR_RNDN); mpfr_sub(r16739, r16737, r16738, MPFR_RNDN); ; mpfr_set_si(r16741, mpfr_cmp(r16724, r16740) <= 0, MPFR_RNDN); mpfr_sqr(r16742, r16724, MPFR_RNDN); mpfr_div(r16743, r16742, r16730, MPFR_RNDN); mpfr_mul(r16744, r16743, r16733, MPFR_RNDN); mpfr_add(r16745, r16744, r16724, MPFR_RNDN); mpfr_div(r16746, r16733, r16730, MPFR_RNDN); mpfr_mul(r16747, r16733, r16733, MPFR_RNDN); mpfr_mul(r16747, r16747, r16733, MPFR_RNDN); mpfr_mul(r16748, r16747, r16742, MPFR_RNDN); mpfr_mul(r16749, r16730, r16730, MPFR_RNDN); mpfr_mul(r16749, r16749, r16730, MPFR_RNDN); mpfr_div(r16750, r16748, r16749, MPFR_RNDN); mpfr_add(r16751, r16746, r16750, MPFR_RNDN); mpfr_div(r16752, r16730, r16733, MPFR_RNDN); mpfr_div(r16753, r16724, r16752, MPFR_RNDN); mpfr_div(r16754, r16753, r16752, MPFR_RNDN); mpfr_add(r16755, r16751, r16754, MPFR_RNDN); mpfr_sub(r16756, r16755, r16738, MPFR_RNDN); mpfr_add(r16757, r16745, r16756, MPFR_RNDN); mpfr_mul(r16758, r16733, r16731, MPFR_RNDN); mpfr_mul(r16759, r16730, r16734, MPFR_RNDN); mpfr_add(r16760, r16758, r16759, MPFR_RNDN); mpfr_cos(r16761, r16728, MPFR_RNDN); mpfr_div(r16762, r16760, r16761, MPFR_RNDN); mpfr_sub(r16763, r16762, r16738, MPFR_RNDN); if (mpfr_get_si(r16741, MPFR_RNDN)) { mpfr_set(r16764, r16757, MPFR_RNDN); } else { mpfr_set(r16764, r16763, MPFR_RNDN); }; if (mpfr_get_si(r16726, MPFR_RNDN)) { mpfr_set(r16765, r16739, MPFR_RNDN); } else { mpfr_set(r16765, r16764, MPFR_RNDN); }; return mpfr_get_d(r16765, MPFR_RNDN); }