#include #include #include #include #include char *name = "NMSE problem 3.3.2"; double f_if(float x, float eps) { float r16628 = x; float r16629 = eps; float r16630 = r16628 + r16629; float r16631 = tan(r16630); float r16632 = tan(r16628); float r16633 = r16631 - r16632; return r16633; } double f_id(double x, double eps) { double r16634 = x; double r16635 = eps; double r16636 = r16634 + r16635; double r16637 = tan(r16636); double r16638 = tan(r16634); double r16639 = r16637 - r16638; return r16639; } double f_of(float x, float eps) { float r16640 = eps; float r16641 = -0.05251705580964073f; bool r16642 = r16640 <= r16641; float r16643 = x; float r16644 = 1.0 / tan(r16643); float r16645 = r16643 + r16640; float r16646 = sin(r16645); float r16647 = r16644 * r16646; float r16648 = 1.0f; float r16649 = r16648 / r16640; float r16650 = r16648 / r16643; float r16651 = r16649 + r16650; float r16652 = cos(r16651); float r16653 = r16647 - r16652; float r16654 = cos(r16645); float r16655 = r16654 * r16644; float r16656 = r16653 / r16655; float r16657 = 639.2159073015437f; bool r16658 = r16640 <= r16657; float r16659 = cos(r16643); float r16660 = sin(r16643); float r16661 = r16659 / r16660; float r16662 = r16661 * r16661; float r16663 = r16640 / r16662; float r16664 = r16640 * r16640; float r16665 = r16664 / r16659; float r16666 = r16665 * r16660; float r16667 = r16663 + r16666; float r16668 = r16660 * (r16660 * r16660); float r16669 = r16659 * (r16659 * r16659); float r16670 = r16669 / r16664; float r16671 = r16668 / r16670; float r16672 = r16667 + r16671; float r16673 = 0.3333333333333333f; float r16674 = r16640 * (r16640 * r16640); float r16675 = r16673 * r16674; float r16676 = r16675 + r16640; float r16677 = 1.3333333333333333f; float r16678 = r16677 * r16640; float r16679 = r16678 * r16664; float r16680 = r16679 / r16662; float r16681 = 4.0f; float r16682 = pow(r16659, r16681); float r16683 = pow(r16660, r16681); float r16684 = r16682 / r16683; float r16685 = r16674 / r16684; float r16686 = r16680 + r16685; float r16687 = r16676 + r16686; float r16688 = r16672 + r16687; float r16689 = r16658 ? r16688 : r16656; float r16690 = r16642 ? r16656 : r16689; return r16690; } double f_od(double x, double eps) { double r16691 = eps; double r16692 = -0.05251705580964073; bool r16693 = r16691 <= r16692; double r16694 = x; double r16695 = 1.0 / tan(r16694); double r16696 = r16694 + r16691; double r16697 = sin(r16696); double r16698 = r16695 * r16697; double r16699 = 1.0; double r16700 = r16699 / r16691; double r16701 = r16699 / r16694; double r16702 = r16700 + r16701; double r16703 = cos(r16702); double r16704 = r16698 - r16703; double r16705 = cos(r16696); double r16706 = r16705 * r16695; double r16707 = r16704 / r16706; double r16708 = 639.2159073015437; bool r16709 = r16691 <= r16708; double r16710 = cos(r16694); double r16711 = sin(r16694); double r16712 = r16710 / r16711; double r16713 = r16712 * r16712; double r16714 = r16691 / r16713; double r16715 = r16691 * r16691; double r16716 = r16715 / r16710; double r16717 = r16716 * r16711; double r16718 = r16714 + r16717; double r16719 = r16711 * (r16711 * r16711); double r16720 = r16710 * (r16710 * r16710); double r16721 = r16720 / r16715; double r16722 = r16719 / r16721; double r16723 = r16718 + r16722; double r16724 = 0.3333333333333333; double r16725 = r16691 * (r16691 * r16691); double r16726 = r16724 * r16725; double r16727 = r16726 + r16691; double r16728 = 1.3333333333333333; double r16729 = r16728 * r16691; double r16730 = r16729 * r16715; double r16731 = r16730 / r16713; double r16732 = 4.0; double r16733 = pow(r16710, r16732); double r16734 = pow(r16711, r16732); double r16735 = r16733 / r16734; double r16736 = r16725 / r16735; double r16737 = r16731 + r16736; double r16738 = r16727 + r16737; double r16739 = r16723 + r16738; double r16740 = r16709 ? r16739 : r16707; double r16741 = r16693 ? r16707 : r16740; return r16741; } 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 r16742, r16743, r16744, r16745, r16746, r16747; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r16742); mpfr_init(r16743); mpfr_init(r16744); mpfr_init(r16745); mpfr_init(r16746); mpfr_init(r16747); } double f_im(double x, double eps) { mpfr_set_d(r16742, x, MPFR_RNDN); mpfr_set_d(r16743, eps, MPFR_RNDN); mpfr_add(r16744, r16742, r16743, MPFR_RNDN); mpfr_tan(r16745, r16744, MPFR_RNDN); mpfr_tan(r16746, r16742, MPFR_RNDN); mpfr_sub(r16747, r16745, r16746, MPFR_RNDN); return mpfr_get_d(r16747, MPFR_RNDN); } static mpfr_t r16748, r16749, r16750, r16751, r16752, r16753, r16754, r16755, r16756, r16757, r16758, r16759, r16760, r16761, r16762, r16763, r16764, r16765, r16766, r16767, r16768, r16769, r16770, r16771, r16772, r16773, r16774, r16775, r16776, r16777, r16778, r16779, r16780, r16781, r16782, r16783, r16784, r16785, r16786, r16787, r16788, r16789, r16790, r16791, r16792, r16793, r16794, r16795, r16796, r16797, r16798; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init(r16748); mpfr_init_set_str(r16749, "-0.05251705580964073", 10, MPFR_RNDN); mpfr_init(r16750); mpfr_init(r16751); mpfr_init(r16752); mpfr_init(r16753); mpfr_init(r16754); mpfr_init(r16755); mpfr_init_set_str(r16756, "1", 10, MPFR_RNDN); 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_set_str(r16765, "639.2159073015437", 10, MPFR_RNDN); mpfr_init(r16766); mpfr_init(r16767); mpfr_init(r16768); mpfr_init(r16769); mpfr_init(r16770); mpfr_init(r16771); mpfr_init(r16772); mpfr_init(r16773); mpfr_init(r16774); mpfr_init(r16775); mpfr_init(r16776); mpfr_init(r16777); mpfr_init(r16778); mpfr_init(r16779); mpfr_init(r16780); mpfr_init_set_str(r16781, "1/3", 10, MPFR_RNDN); mpfr_init(r16782); mpfr_init(r16783); mpfr_init(r16784); mpfr_init_set_str(r16785, "4/3", 10, MPFR_RNDN); mpfr_init(r16786); mpfr_init(r16787); mpfr_init(r16788); mpfr_init_set_str(r16789, "4", 10, MPFR_RNDN); mpfr_init(r16790); mpfr_init(r16791); mpfr_init(r16792); mpfr_init(r16793); mpfr_init(r16794); mpfr_init(r16795); mpfr_init(r16796); mpfr_init(r16797); mpfr_init(r16798); } double f_fm(double x, double eps) { mpfr_set_d(r16748, eps, MPFR_RNDN); ; mpfr_set_si(r16750, mpfr_cmp(r16748, r16749) <= 0, MPFR_RNDN); mpfr_set_d(r16751, x, MPFR_RNDN); mpfr_cot(r16752, r16751, MPFR_RNDN); mpfr_add(r16753, r16751, r16748, MPFR_RNDN); mpfr_sin(r16754, r16753, MPFR_RNDN); mpfr_mul(r16755, r16752, r16754, MPFR_RNDN); ; mpfr_div(r16757, r16756, r16748, MPFR_RNDN); mpfr_div(r16758, r16756, r16751, MPFR_RNDN); mpfr_add(r16759, r16757, r16758, MPFR_RNDN); mpfr_cos(r16760, r16759, MPFR_RNDN); mpfr_sub(r16761, r16755, r16760, MPFR_RNDN); mpfr_cos(r16762, r16753, MPFR_RNDN); mpfr_mul(r16763, r16762, r16752, MPFR_RNDN); mpfr_div(r16764, r16761, r16763, MPFR_RNDN); ; mpfr_set_si(r16766, mpfr_cmp(r16748, r16765) <= 0, MPFR_RNDN); mpfr_cos(r16767, r16751, MPFR_RNDN); mpfr_sin(r16768, r16751, MPFR_RNDN); mpfr_div(r16769, r16767, r16768, MPFR_RNDN); mpfr_sqr(r16770, r16769, MPFR_RNDN); mpfr_div(r16771, r16748, r16770, MPFR_RNDN); mpfr_sqr(r16772, r16748, MPFR_RNDN); mpfr_div(r16773, r16772, r16767, MPFR_RNDN); mpfr_mul(r16774, r16773, r16768, MPFR_RNDN); mpfr_add(r16775, r16771, r16774, MPFR_RNDN); mpfr_mul(r16776, r16768, r16768, MPFR_RNDN); mpfr_mul(r16776, r16776, r16768, MPFR_RNDN); mpfr_mul(r16777, r16767, r16767, MPFR_RNDN); mpfr_mul(r16777, r16777, r16767, MPFR_RNDN); mpfr_div(r16778, r16777, r16772, MPFR_RNDN); mpfr_div(r16779, r16776, r16778, MPFR_RNDN); mpfr_add(r16780, r16775, r16779, MPFR_RNDN); ; mpfr_mul(r16782, r16748, r16748, MPFR_RNDN); mpfr_mul(r16782, r16782, r16748, MPFR_RNDN); mpfr_mul(r16783, r16781, r16782, MPFR_RNDN); mpfr_add(r16784, r16783, r16748, MPFR_RNDN); ; mpfr_mul(r16786, r16785, r16748, MPFR_RNDN); mpfr_mul(r16787, r16786, r16772, MPFR_RNDN); mpfr_div(r16788, r16787, r16770, MPFR_RNDN); ; mpfr_pow(r16790, r16767, r16789, MPFR_RNDN); mpfr_pow(r16791, r16768, r16789, MPFR_RNDN); mpfr_div(r16792, r16790, r16791, MPFR_RNDN); mpfr_div(r16793, r16782, r16792, MPFR_RNDN); mpfr_add(r16794, r16788, r16793, MPFR_RNDN); mpfr_add(r16795, r16784, r16794, MPFR_RNDN); mpfr_add(r16796, r16780, r16795, MPFR_RNDN); if (mpfr_get_si(r16766, MPFR_RNDN)) { mpfr_set(r16797, r16796, MPFR_RNDN); } else { mpfr_set(r16797, r16764, MPFR_RNDN); }; if (mpfr_get_si(r16750, MPFR_RNDN)) { mpfr_set(r16798, r16764, MPFR_RNDN); } else { mpfr_set(r16798, r16797, MPFR_RNDN); }; return mpfr_get_d(r16798, MPFR_RNDN); } static mpfr_t r16799, r16800, r16801, r16802, r16803, r16804, r16805, r16806, r16807, r16808, r16809, r16810, r16811, r16812, r16813, r16814, r16815, r16816, r16817, r16818, r16819, r16820, r16821, r16822, r16823, r16824, r16825, r16826, r16827, r16828, r16829, r16830, r16831, r16832, r16833, r16834, r16835, r16836, r16837, r16838, r16839, r16840, r16841, r16842, r16843, r16844, r16845, r16846, r16847, r16848, r16849; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init(r16799); mpfr_init_set_str(r16800, "-0.05251705580964073", 10, MPFR_RNDN); mpfr_init(r16801); mpfr_init(r16802); mpfr_init(r16803); mpfr_init(r16804); mpfr_init(r16805); mpfr_init(r16806); mpfr_init_set_str(r16807, "1", 10, MPFR_RNDN); mpfr_init(r16808); mpfr_init(r16809); mpfr_init(r16810); mpfr_init(r16811); mpfr_init(r16812); mpfr_init(r16813); mpfr_init(r16814); mpfr_init(r16815); mpfr_init_set_str(r16816, "639.2159073015437", 10, MPFR_RNDN); mpfr_init(r16817); mpfr_init(r16818); mpfr_init(r16819); mpfr_init(r16820); mpfr_init(r16821); mpfr_init(r16822); mpfr_init(r16823); mpfr_init(r16824); mpfr_init(r16825); mpfr_init(r16826); mpfr_init(r16827); mpfr_init(r16828); mpfr_init(r16829); mpfr_init(r16830); mpfr_init(r16831); mpfr_init_set_str(r16832, "1/3", 10, MPFR_RNDN); mpfr_init(r16833); mpfr_init(r16834); mpfr_init(r16835); mpfr_init_set_str(r16836, "4/3", 10, MPFR_RNDN); mpfr_init(r16837); mpfr_init(r16838); mpfr_init(r16839); mpfr_init_set_str(r16840, "4", 10, MPFR_RNDN); mpfr_init(r16841); mpfr_init(r16842); mpfr_init(r16843); mpfr_init(r16844); mpfr_init(r16845); mpfr_init(r16846); mpfr_init(r16847); mpfr_init(r16848); mpfr_init(r16849); } double f_dm(double x, double eps) { mpfr_set_d(r16799, eps, MPFR_RNDN); ; mpfr_set_si(r16801, mpfr_cmp(r16799, r16800) <= 0, MPFR_RNDN); mpfr_set_d(r16802, x, MPFR_RNDN); mpfr_cot(r16803, r16802, MPFR_RNDN); mpfr_add(r16804, r16802, r16799, MPFR_RNDN); mpfr_sin(r16805, r16804, MPFR_RNDN); mpfr_mul(r16806, r16803, r16805, MPFR_RNDN); ; mpfr_div(r16808, r16807, r16799, MPFR_RNDN); mpfr_div(r16809, r16807, r16802, MPFR_RNDN); mpfr_add(r16810, r16808, r16809, MPFR_RNDN); mpfr_cos(r16811, r16810, MPFR_RNDN); mpfr_sub(r16812, r16806, r16811, MPFR_RNDN); mpfr_cos(r16813, r16804, MPFR_RNDN); mpfr_mul(r16814, r16813, r16803, MPFR_RNDN); mpfr_div(r16815, r16812, r16814, MPFR_RNDN); ; mpfr_set_si(r16817, mpfr_cmp(r16799, r16816) <= 0, MPFR_RNDN); mpfr_cos(r16818, r16802, MPFR_RNDN); mpfr_sin(r16819, r16802, MPFR_RNDN); mpfr_div(r16820, r16818, r16819, MPFR_RNDN); mpfr_sqr(r16821, r16820, MPFR_RNDN); mpfr_div(r16822, r16799, r16821, MPFR_RNDN); mpfr_sqr(r16823, r16799, MPFR_RNDN); mpfr_div(r16824, r16823, r16818, MPFR_RNDN); mpfr_mul(r16825, r16824, r16819, MPFR_RNDN); mpfr_add(r16826, r16822, r16825, MPFR_RNDN); mpfr_mul(r16827, r16819, r16819, MPFR_RNDN); mpfr_mul(r16827, r16827, r16819, MPFR_RNDN); mpfr_mul(r16828, r16818, r16818, MPFR_RNDN); mpfr_mul(r16828, r16828, r16818, MPFR_RNDN); mpfr_div(r16829, r16828, r16823, MPFR_RNDN); mpfr_div(r16830, r16827, r16829, MPFR_RNDN); mpfr_add(r16831, r16826, r16830, MPFR_RNDN); ; mpfr_mul(r16833, r16799, r16799, MPFR_RNDN); mpfr_mul(r16833, r16833, r16799, MPFR_RNDN); mpfr_mul(r16834, r16832, r16833, MPFR_RNDN); mpfr_add(r16835, r16834, r16799, MPFR_RNDN); ; mpfr_mul(r16837, r16836, r16799, MPFR_RNDN); mpfr_mul(r16838, r16837, r16823, MPFR_RNDN); mpfr_div(r16839, r16838, r16821, MPFR_RNDN); ; mpfr_pow(r16841, r16818, r16840, MPFR_RNDN); mpfr_pow(r16842, r16819, r16840, MPFR_RNDN); mpfr_div(r16843, r16841, r16842, MPFR_RNDN); mpfr_div(r16844, r16833, r16843, MPFR_RNDN); mpfr_add(r16845, r16839, r16844, MPFR_RNDN); mpfr_add(r16846, r16835, r16845, MPFR_RNDN); mpfr_add(r16847, r16831, r16846, MPFR_RNDN); if (mpfr_get_si(r16817, MPFR_RNDN)) { mpfr_set(r16848, r16847, MPFR_RNDN); } else { mpfr_set(r16848, r16815, MPFR_RNDN); }; if (mpfr_get_si(r16801, MPFR_RNDN)) { mpfr_set(r16849, r16815, MPFR_RNDN); } else { mpfr_set(r16849, r16848, MPFR_RNDN); }; return mpfr_get_d(r16849, MPFR_RNDN); }