#include #include #include #include #include char *name = "NMSE problem 3.3.2"; double f_if(float x, float eps) { float r16560 = x; float r16561 = eps; float r16562 = r16560 + r16561; float r16563 = tan(r16562); float r16564 = tan(r16560); float r16565 = r16563 - r16564; return r16565; } double f_id(double x, double eps) { double r16566 = x; double r16567 = eps; double r16568 = r16566 + r16567; double r16569 = tan(r16568); double r16570 = tan(r16566); double r16571 = r16569 - r16570; return r16571; } double f_of(float x, float eps) { float r16572 = eps; float r16573 = -6.349368961717618e-07f; bool r16574 = r16572 <= r16573; float r16575 = x; float r16576 = r16575 + r16572; float r16577 = sin(r16576); float r16578 = cos(r16575); float r16579 = cos(r16572); float r16580 = r16578 * r16579; float r16581 = sin(r16575); float r16582 = sin(r16572); float r16583 = r16581 * r16582; float r16584 = r16580 - r16583; float r16585 = r16577 / r16584; float r16586 = tan(r16575); float r16587 = r16585 - r16586; float r16588 = 0.0441511379087146f; bool r16589 = r16572 <= r16588; float r16590 = r16578 / r16581; float r16591 = r16590 * r16590; float r16592 = r16572 / r16591; float r16593 = r16572 * r16572; float r16594 = r16593 / r16578; float r16595 = r16594 * r16581; float r16596 = r16592 + r16595; float r16597 = r16581 * (r16581 * r16581); float r16598 = r16578 * (r16578 * r16578); float r16599 = r16598 / r16593; float r16600 = r16597 / r16599; float r16601 = r16596 + r16600; float r16602 = 0.3333333333333333f; float r16603 = r16572 * (r16572 * r16572); float r16604 = r16602 * r16603; float r16605 = r16604 + r16572; float r16606 = 1.3333333333333333f; float r16607 = r16606 * r16572; float r16608 = r16607 * r16593; float r16609 = r16608 / r16591; float r16610 = 4.0f; float r16611 = pow(r16578, r16610); float r16612 = pow(r16581, r16610); float r16613 = r16611 / r16612; float r16614 = r16603 / r16613; float r16615 = r16609 + r16614; float r16616 = r16605 + r16615; float r16617 = r16601 + r16616; float r16618 = r16589 ? r16617 : r16587; float r16619 = r16574 ? r16587 : r16618; return r16619; } double f_od(double x, double eps) { double r16620 = eps; double r16621 = -6.349368961717618e-07; bool r16622 = r16620 <= r16621; double r16623 = x; double r16624 = r16623 + r16620; double r16625 = sin(r16624); double r16626 = cos(r16623); double r16627 = cos(r16620); double r16628 = r16626 * r16627; double r16629 = sin(r16623); double r16630 = sin(r16620); double r16631 = r16629 * r16630; double r16632 = r16628 - r16631; double r16633 = r16625 / r16632; double r16634 = tan(r16623); double r16635 = r16633 - r16634; double r16636 = 0.0441511379087146; bool r16637 = r16620 <= r16636; double r16638 = r16626 / r16629; double r16639 = r16638 * r16638; double r16640 = r16620 / r16639; double r16641 = r16620 * r16620; double r16642 = r16641 / r16626; double r16643 = r16642 * r16629; double r16644 = r16640 + r16643; double r16645 = r16629 * (r16629 * r16629); double r16646 = r16626 * (r16626 * r16626); double r16647 = r16646 / r16641; double r16648 = r16645 / r16647; double r16649 = r16644 + r16648; double r16650 = 0.3333333333333333; double r16651 = r16620 * (r16620 * r16620); double r16652 = r16650 * r16651; double r16653 = r16652 + r16620; double r16654 = 1.3333333333333333; double r16655 = r16654 * r16620; double r16656 = r16655 * r16641; double r16657 = r16656 / r16639; double r16658 = 4.0; double r16659 = pow(r16626, r16658); double r16660 = pow(r16629, r16658); double r16661 = r16659 / r16660; double r16662 = r16651 / r16661; double r16663 = r16657 + r16662; double r16664 = r16653 + r16663; double r16665 = r16649 + r16664; double r16666 = r16637 ? r16665 : r16635; double r16667 = r16622 ? r16635 : r16666; return r16667; } 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 r16668, r16669, r16670, r16671, r16672, r16673; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r16668); mpfr_init(r16669); mpfr_init(r16670); mpfr_init(r16671); mpfr_init(r16672); mpfr_init(r16673); } double f_im(double x, double eps) { mpfr_set_d(r16668, x, MPFR_RNDN); mpfr_set_d(r16669, eps, MPFR_RNDN); mpfr_add(r16670, r16668, r16669, MPFR_RNDN); mpfr_tan(r16671, r16670, MPFR_RNDN); mpfr_tan(r16672, r16668, MPFR_RNDN); mpfr_sub(r16673, r16671, r16672, MPFR_RNDN); return mpfr_get_d(r16673, MPFR_RNDN); } static mpfr_t 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_fm() { mpfr_set_default_prec(144); mpfr_init(r16674); mpfr_init_set_str(r16675, "-6.349368961717618e-07", 10, MPFR_RNDN); 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, "0.0441511379087146", 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_fm(double x, double eps) { mpfr_set_d(r16674, eps, MPFR_RNDN); ; mpfr_set_si(r16676, mpfr_cmp(r16674, r16675) <= 0, MPFR_RNDN); mpfr_set_d(r16677, x, MPFR_RNDN); mpfr_add(r16678, r16677, r16674, MPFR_RNDN); mpfr_sin(r16679, r16678, MPFR_RNDN); mpfr_cos(r16680, r16677, MPFR_RNDN); mpfr_cos(r16681, r16674, MPFR_RNDN); mpfr_mul(r16682, r16680, r16681, MPFR_RNDN); mpfr_sin(r16683, r16677, MPFR_RNDN); mpfr_sin(r16684, r16674, MPFR_RNDN); mpfr_mul(r16685, r16683, r16684, MPFR_RNDN); mpfr_sub(r16686, r16682, r16685, MPFR_RNDN); mpfr_div(r16687, r16679, r16686, MPFR_RNDN); mpfr_tan(r16688, r16677, MPFR_RNDN); mpfr_sub(r16689, r16687, r16688, MPFR_RNDN); ; mpfr_set_si(r16691, mpfr_cmp(r16674, r16690) <= 0, MPFR_RNDN); mpfr_div(r16692, r16680, r16683, MPFR_RNDN); mpfr_sqr(r16693, r16692, MPFR_RNDN); mpfr_div(r16694, r16674, r16693, MPFR_RNDN); mpfr_sqr(r16695, r16674, MPFR_RNDN); mpfr_div(r16696, r16695, r16680, MPFR_RNDN); mpfr_mul(r16697, r16696, r16683, MPFR_RNDN); mpfr_add(r16698, r16694, r16697, MPFR_RNDN); mpfr_mul(r16699, r16683, r16683, MPFR_RNDN); mpfr_mul(r16699, r16699, r16683, 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, r16674, r16674, MPFR_RNDN); mpfr_mul(r16705, r16705, r16674, MPFR_RNDN); mpfr_mul(r16706, r16704, r16705, MPFR_RNDN); mpfr_add(r16707, r16706, r16674, MPFR_RNDN); ; mpfr_mul(r16709, r16708, r16674, 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, r16683, 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(r16676, MPFR_RNDN)) { mpfr_set(r16721, r16689, MPFR_RNDN); } else { mpfr_set(r16721, r16720, MPFR_RNDN); }; return mpfr_get_d(r16721, MPFR_RNDN); } static mpfr_t 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, r16754, r16755, r16756, r16757, r16758, r16759, r16760, r16761, r16762, r16763, r16764, r16765, r16766, r16767, r16768, r16769; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init(r16722); mpfr_init_set_str(r16723, "-6.349368961717618e-07", 10, MPFR_RNDN); 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(r16736); mpfr_init(r16737); mpfr_init_set_str(r16738, "0.0441511379087146", 10, MPFR_RNDN); mpfr_init(r16739); mpfr_init(r16740); 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_set_str(r16752, "1/3", 10, MPFR_RNDN); mpfr_init(r16753); mpfr_init(r16754); mpfr_init(r16755); mpfr_init_set_str(r16756, "4/3", 10, MPFR_RNDN); mpfr_init(r16757); mpfr_init(r16758); mpfr_init(r16759); mpfr_init_set_str(r16760, "4", 10, MPFR_RNDN); mpfr_init(r16761); mpfr_init(r16762); mpfr_init(r16763); mpfr_init(r16764); mpfr_init(r16765); mpfr_init(r16766); mpfr_init(r16767); mpfr_init(r16768); mpfr_init(r16769); } double f_dm(double x, double eps) { mpfr_set_d(r16722, eps, MPFR_RNDN); ; mpfr_set_si(r16724, mpfr_cmp(r16722, r16723) <= 0, MPFR_RNDN); mpfr_set_d(r16725, x, MPFR_RNDN); mpfr_add(r16726, r16725, r16722, MPFR_RNDN); mpfr_sin(r16727, r16726, MPFR_RNDN); mpfr_cos(r16728, r16725, MPFR_RNDN); mpfr_cos(r16729, r16722, MPFR_RNDN); mpfr_mul(r16730, r16728, r16729, MPFR_RNDN); mpfr_sin(r16731, r16725, MPFR_RNDN); mpfr_sin(r16732, r16722, MPFR_RNDN); mpfr_mul(r16733, r16731, r16732, MPFR_RNDN); mpfr_sub(r16734, r16730, r16733, MPFR_RNDN); mpfr_div(r16735, r16727, r16734, MPFR_RNDN); mpfr_tan(r16736, r16725, MPFR_RNDN); mpfr_sub(r16737, r16735, r16736, MPFR_RNDN); ; mpfr_set_si(r16739, mpfr_cmp(r16722, r16738) <= 0, MPFR_RNDN); mpfr_div(r16740, r16728, r16731, MPFR_RNDN); mpfr_sqr(r16741, r16740, MPFR_RNDN); mpfr_div(r16742, r16722, r16741, MPFR_RNDN); mpfr_sqr(r16743, r16722, MPFR_RNDN); mpfr_div(r16744, r16743, r16728, MPFR_RNDN); mpfr_mul(r16745, r16744, r16731, MPFR_RNDN); mpfr_add(r16746, r16742, r16745, MPFR_RNDN); mpfr_mul(r16747, r16731, r16731, MPFR_RNDN); mpfr_mul(r16747, r16747, r16731, MPFR_RNDN); mpfr_mul(r16748, r16728, r16728, MPFR_RNDN); mpfr_mul(r16748, r16748, r16728, MPFR_RNDN); mpfr_div(r16749, r16748, r16743, MPFR_RNDN); mpfr_div(r16750, r16747, r16749, MPFR_RNDN); mpfr_add(r16751, r16746, r16750, MPFR_RNDN); ; mpfr_mul(r16753, r16722, r16722, MPFR_RNDN); mpfr_mul(r16753, r16753, r16722, MPFR_RNDN); mpfr_mul(r16754, r16752, r16753, MPFR_RNDN); mpfr_add(r16755, r16754, r16722, MPFR_RNDN); ; mpfr_mul(r16757, r16756, r16722, MPFR_RNDN); mpfr_mul(r16758, r16757, r16743, MPFR_RNDN); mpfr_div(r16759, r16758, r16741, MPFR_RNDN); ; mpfr_pow(r16761, r16728, r16760, MPFR_RNDN); mpfr_pow(r16762, r16731, r16760, MPFR_RNDN); mpfr_div(r16763, r16761, r16762, MPFR_RNDN); mpfr_div(r16764, r16753, r16763, MPFR_RNDN); mpfr_add(r16765, r16759, r16764, MPFR_RNDN); mpfr_add(r16766, r16755, r16765, MPFR_RNDN); mpfr_add(r16767, r16751, r16766, MPFR_RNDN); if (mpfr_get_si(r16739, MPFR_RNDN)) { mpfr_set(r16768, r16767, MPFR_RNDN); } else { mpfr_set(r16768, r16737, MPFR_RNDN); }; if (mpfr_get_si(r16724, MPFR_RNDN)) { mpfr_set(r16769, r16737, MPFR_RNDN); } else { mpfr_set(r16769, r16768, MPFR_RNDN); }; return mpfr_get_d(r16769, MPFR_RNDN); }