#include #include #include #include #include char *name = "NMSE problem 3.3.2"; double f_if(float x, float eps) { float r16532 = x; float r16533 = eps; float r16534 = r16532 + r16533; float r16535 = tan(r16534); float r16536 = tan(r16532); float r16537 = r16535 - r16536; return r16537; } double f_id(double x, double eps) { double r16538 = x; double r16539 = eps; double r16540 = r16538 + r16539; double r16541 = tan(r16540); double r16542 = tan(r16538); double r16543 = r16541 - r16542; return r16543; } double f_of(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; float r16550 = -0.041489601135253906f; bool r16551 = r16549 <= r16550; float r16552 = cbrt(r16548); float r16553 = r16552 * (r16552 * r16552); float r16554 = r16547 - r16553; float r16555 = 0.0023221548181027174f; bool r16556 = r16549 <= r16555; float r16557 = cos(r16544); float r16558 = sin(r16544); float r16559 = r16557 / r16558; float r16560 = r16559 * r16559; float r16561 = r16545 / r16560; float r16562 = r16545 * r16545; float r16563 = r16562 / r16557; float r16564 = r16563 * r16558; float r16565 = r16561 + r16564; float r16566 = r16558 * (r16558 * r16558); float r16567 = r16557 * (r16557 * r16557); float r16568 = r16567 / r16562; float r16569 = r16566 / r16568; float r16570 = r16565 + r16569; float r16571 = 0.3333333432674408f; float r16572 = r16545 * (r16545 * r16545); float r16573 = r16571 * r16572; float r16574 = r16573 + r16545; float r16575 = 1.3333333730697632f; float r16576 = r16575 * r16545; float r16577 = r16576 * r16562; float r16578 = r16577 / r16560; float r16579 = 4.0f; float r16580 = pow(r16557, r16579); float r16581 = pow(r16558, r16579); float r16582 = r16580 / r16581; float r16583 = r16572 / r16582; float r16584 = r16578 + r16583; float r16585 = r16574 + r16584; float r16586 = r16570 + r16585; float r16587 = r16556 ? r16586 : r16554; float r16588 = r16551 ? r16554 : r16587; return r16588; } double f_od(double x, double eps) { double r16589 = x; double r16590 = eps; double r16591 = r16589 + r16590; double r16592 = tan(r16591); double r16593 = tan(r16589); double r16594 = r16592 - r16593; double r16595 = -0.041489601135253906; bool r16596 = r16594 <= r16595; double r16597 = cbrt(r16593); double r16598 = r16597 * (r16597 * r16597); double r16599 = r16592 - r16598; double r16600 = 0.0023221548181027174; bool r16601 = r16594 <= r16600; double r16602 = cos(r16589); double r16603 = sin(r16589); double r16604 = r16602 / r16603; double r16605 = r16604 * r16604; double r16606 = r16590 / r16605; double r16607 = r16590 * r16590; double r16608 = r16607 / r16602; double r16609 = r16608 * r16603; double r16610 = r16606 + r16609; double r16611 = r16603 * (r16603 * r16603); double r16612 = r16602 * (r16602 * r16602); double r16613 = r16612 / r16607; double r16614 = r16611 / r16613; double r16615 = r16610 + r16614; double r16616 = 0.3333333432674408; double r16617 = r16590 * (r16590 * r16590); double r16618 = r16616 * r16617; double r16619 = r16618 + r16590; double r16620 = 1.3333333730697632; double r16621 = r16620 * r16590; double r16622 = r16621 * r16607; double r16623 = r16622 / r16605; double r16624 = 4.0; double r16625 = pow(r16602, r16624); double r16626 = pow(r16603, r16624); double r16627 = r16625 / r16626; double r16628 = r16617 / r16627; double r16629 = r16623 + r16628; double r16630 = r16619 + r16629; double r16631 = r16615 + r16630; double r16632 = r16601 ? r16631 : r16599; double r16633 = r16596 ? r16599 : r16632; return r16633; } 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 r16634, r16635, r16636, r16637, r16638, r16639; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r16634); mpfr_init(r16635); mpfr_init(r16636); mpfr_init(r16637); mpfr_init(r16638); mpfr_init(r16639); } double f_im(double x, double eps) { mpfr_set_d(r16634, x, MPFR_RNDN); mpfr_set_d(r16635, eps, MPFR_RNDN); mpfr_add(r16636, r16634, r16635, MPFR_RNDN); mpfr_tan(r16637, r16636, MPFR_RNDN); mpfr_tan(r16638, r16634, MPFR_RNDN); mpfr_sub(r16639, r16637, r16638, MPFR_RNDN); return mpfr_get_d(r16639, MPFR_RNDN); } static mpfr_t 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, r16674, r16675, r16676, r16677, r16678, r16679, r16680, r16681, r16682, r16683, r16684; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init(r16640); mpfr_init(r16641); mpfr_init(r16642); mpfr_init(r16643); mpfr_init(r16644); mpfr_init(r16645); mpfr_init_set_str(r16646, "-0.0414896f0", 10, MPFR_RNDN); mpfr_init(r16647); mpfr_init(r16648); mpfr_init(r16649); mpfr_init(r16650); mpfr_init_set_str(r16651, "0.0023221548f0", 10, MPFR_RNDN); mpfr_init(r16652); mpfr_init(r16653); mpfr_init(r16654); mpfr_init(r16655); mpfr_init(r16656); mpfr_init(r16657); mpfr_init(r16658); mpfr_init(r16659); mpfr_init(r16660); mpfr_init(r16661); mpfr_init(r16662); mpfr_init(r16663); mpfr_init(r16664); mpfr_init(r16665); mpfr_init(r16666); mpfr_init_set_str(r16667, "1/3", 10, MPFR_RNDN); mpfr_init(r16668); mpfr_init(r16669); mpfr_init(r16670); mpfr_init_set_str(r16671, "4/3", 10, MPFR_RNDN); mpfr_init(r16672); mpfr_init(r16673); mpfr_init(r16674); mpfr_init_set_str(r16675, "4", 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); } double f_fm(double x, double eps) { mpfr_set_d(r16640, x, MPFR_RNDN); mpfr_set_d(r16641, eps, MPFR_RNDN); mpfr_add(r16642, r16640, r16641, MPFR_RNDN); mpfr_tan(r16643, r16642, MPFR_RNDN); mpfr_tan(r16644, r16640, MPFR_RNDN); mpfr_sub(r16645, r16643, r16644, MPFR_RNDN); ; mpfr_set_si(r16647, mpfr_cmp(r16645, r16646) <= 0, MPFR_RNDN); mpfr_cbrt(r16648, r16644, MPFR_RNDN); mpfr_mul(r16649, r16648, r16648, MPFR_RNDN); mpfr_mul(r16649, r16649, r16648, MPFR_RNDN); mpfr_sub(r16650, r16643, r16649, MPFR_RNDN); ; mpfr_set_si(r16652, mpfr_cmp(r16645, r16651) <= 0, MPFR_RNDN); mpfr_cos(r16653, r16640, MPFR_RNDN); mpfr_sin(r16654, r16640, MPFR_RNDN); mpfr_div(r16655, r16653, r16654, MPFR_RNDN); mpfr_sqr(r16656, r16655, MPFR_RNDN); mpfr_div(r16657, r16641, r16656, MPFR_RNDN); mpfr_sqr(r16658, r16641, MPFR_RNDN); mpfr_div(r16659, r16658, r16653, MPFR_RNDN); mpfr_mul(r16660, r16659, r16654, MPFR_RNDN); mpfr_add(r16661, r16657, r16660, MPFR_RNDN); mpfr_mul(r16662, r16654, r16654, MPFR_RNDN); mpfr_mul(r16662, r16662, r16654, MPFR_RNDN); mpfr_mul(r16663, r16653, r16653, MPFR_RNDN); mpfr_mul(r16663, r16663, r16653, MPFR_RNDN); mpfr_div(r16664, r16663, r16658, MPFR_RNDN); mpfr_div(r16665, r16662, r16664, MPFR_RNDN); mpfr_add(r16666, r16661, r16665, MPFR_RNDN); ; mpfr_mul(r16668, r16641, r16641, MPFR_RNDN); mpfr_mul(r16668, r16668, r16641, MPFR_RNDN); mpfr_mul(r16669, r16667, r16668, MPFR_RNDN); mpfr_add(r16670, r16669, r16641, MPFR_RNDN); ; mpfr_mul(r16672, r16671, r16641, MPFR_RNDN); mpfr_mul(r16673, r16672, r16658, MPFR_RNDN); mpfr_div(r16674, r16673, r16656, MPFR_RNDN); ; mpfr_pow(r16676, r16653, r16675, MPFR_RNDN); mpfr_pow(r16677, r16654, r16675, MPFR_RNDN); mpfr_div(r16678, r16676, r16677, MPFR_RNDN); mpfr_div(r16679, r16668, r16678, MPFR_RNDN); mpfr_add(r16680, r16674, r16679, MPFR_RNDN); mpfr_add(r16681, r16670, r16680, MPFR_RNDN); mpfr_add(r16682, r16666, r16681, MPFR_RNDN); if (mpfr_get_si(r16652, MPFR_RNDN)) { mpfr_set(r16683, r16682, MPFR_RNDN); } else { mpfr_set(r16683, r16650, MPFR_RNDN); }; if (mpfr_get_si(r16647, MPFR_RNDN)) { mpfr_set(r16684, r16650, MPFR_RNDN); } else { mpfr_set(r16684, r16683, MPFR_RNDN); }; return mpfr_get_d(r16684, MPFR_RNDN); } static mpfr_t 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, r16724, r16725, r16726, r16727, r16728, r16729; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init(r16685); mpfr_init(r16686); mpfr_init(r16687); mpfr_init(r16688); mpfr_init(r16689); mpfr_init(r16690); mpfr_init_set_str(r16691, "-0.0414896f0", 10, MPFR_RNDN); mpfr_init(r16692); mpfr_init(r16693); mpfr_init(r16694); mpfr_init(r16695); mpfr_init_set_str(r16696, "0.0023221548f0", 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); mpfr_init(r16706); mpfr_init(r16707); mpfr_init(r16708); mpfr_init(r16709); mpfr_init(r16710); mpfr_init(r16711); mpfr_init_set_str(r16712, "1/3", 10, MPFR_RNDN); mpfr_init(r16713); mpfr_init(r16714); mpfr_init(r16715); mpfr_init_set_str(r16716, "4/3", 10, MPFR_RNDN); mpfr_init(r16717); mpfr_init(r16718); mpfr_init(r16719); mpfr_init_set_str(r16720, "4", 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); } double f_dm(double x, double eps) { mpfr_set_d(r16685, x, MPFR_RNDN); mpfr_set_d(r16686, eps, MPFR_RNDN); mpfr_add(r16687, r16685, r16686, MPFR_RNDN); mpfr_tan(r16688, r16687, MPFR_RNDN); mpfr_tan(r16689, r16685, MPFR_RNDN); mpfr_sub(r16690, r16688, r16689, MPFR_RNDN); ; mpfr_set_si(r16692, mpfr_cmp(r16690, r16691) <= 0, MPFR_RNDN); mpfr_cbrt(r16693, r16689, MPFR_RNDN); mpfr_mul(r16694, r16693, r16693, MPFR_RNDN); mpfr_mul(r16694, r16694, r16693, MPFR_RNDN); mpfr_sub(r16695, r16688, r16694, MPFR_RNDN); ; mpfr_set_si(r16697, mpfr_cmp(r16690, r16696) <= 0, MPFR_RNDN); mpfr_cos(r16698, r16685, MPFR_RNDN); mpfr_sin(r16699, r16685, MPFR_RNDN); mpfr_div(r16700, r16698, r16699, MPFR_RNDN); mpfr_sqr(r16701, r16700, MPFR_RNDN); mpfr_div(r16702, r16686, r16701, MPFR_RNDN); mpfr_sqr(r16703, r16686, MPFR_RNDN); mpfr_div(r16704, r16703, r16698, MPFR_RNDN); mpfr_mul(r16705, r16704, r16699, MPFR_RNDN); mpfr_add(r16706, r16702, r16705, MPFR_RNDN); mpfr_mul(r16707, r16699, r16699, MPFR_RNDN); mpfr_mul(r16707, r16707, r16699, MPFR_RNDN); mpfr_mul(r16708, r16698, r16698, MPFR_RNDN); mpfr_mul(r16708, r16708, r16698, MPFR_RNDN); mpfr_div(r16709, r16708, r16703, MPFR_RNDN); mpfr_div(r16710, r16707, r16709, MPFR_RNDN); mpfr_add(r16711, r16706, r16710, MPFR_RNDN); ; mpfr_mul(r16713, r16686, r16686, MPFR_RNDN); mpfr_mul(r16713, r16713, r16686, MPFR_RNDN); mpfr_mul(r16714, r16712, r16713, MPFR_RNDN); mpfr_add(r16715, r16714, r16686, MPFR_RNDN); ; mpfr_mul(r16717, r16716, r16686, MPFR_RNDN); mpfr_mul(r16718, r16717, r16703, MPFR_RNDN); mpfr_div(r16719, r16718, r16701, MPFR_RNDN); ; mpfr_pow(r16721, r16698, r16720, MPFR_RNDN); mpfr_pow(r16722, r16699, r16720, MPFR_RNDN); mpfr_div(r16723, r16721, r16722, MPFR_RNDN); mpfr_div(r16724, r16713, r16723, MPFR_RNDN); mpfr_add(r16725, r16719, r16724, MPFR_RNDN); mpfr_add(r16726, r16715, r16725, MPFR_RNDN); mpfr_add(r16727, r16711, r16726, MPFR_RNDN); if (mpfr_get_si(r16697, MPFR_RNDN)) { mpfr_set(r16728, r16727, MPFR_RNDN); } else { mpfr_set(r16728, r16695, MPFR_RNDN); }; if (mpfr_get_si(r16692, MPFR_RNDN)) { mpfr_set(r16729, r16695, MPFR_RNDN); } else { mpfr_set(r16729, r16728, MPFR_RNDN); }; return mpfr_get_d(r16729, MPFR_RNDN); }