#include #include #include #include #include char *name = "NMSE problem 3.3.2"; double f_if(float x, float eps) { float r16692 = x; float r16693 = eps; float r16694 = r16692 + r16693; float r16695 = tan(r16694); float r16696 = tan(r16692); float r16697 = r16695 - r16696; return r16697; } double f_id(double x, double eps) { double r16698 = x; double r16699 = eps; double r16700 = r16698 + r16699; double r16701 = tan(r16700); double r16702 = tan(r16698); double r16703 = r16701 - r16702; return r16703; } double f_of(float x, float eps) { float r16704 = eps; float r16705 = -1.5194640071230868e-06f; bool r16706 = r16704 <= r16705; float r16707 = x; float r16708 = sin(r16707); float r16709 = cos(r16704); float r16710 = r16708 * r16709; float r16711 = cos(r16707); float r16712 = sin(r16704); float r16713 = r16711 * r16712; float r16714 = r16710 + r16713; float r16715 = r16711 * r16709; float r16716 = r16708 * r16712; float r16717 = r16715 - r16716; float r16718 = r16714 / r16717; float r16719 = tan(r16707); float r16720 = r16718 - r16719; float r16721 = 6.019887702751239e-12f; bool r16722 = r16704 <= r16721; float r16723 = r16711 / r16708; float r16724 = r16723 * r16723; float r16725 = r16704 / r16724; float r16726 = r16704 * r16704; float r16727 = r16726 / r16711; float r16728 = r16727 * r16708; float r16729 = r16725 + r16728; float r16730 = r16708 * (r16708 * r16708); float r16731 = r16711 * (r16711 * r16711); float r16732 = r16731 / r16726; float r16733 = r16730 / r16732; float r16734 = r16729 + r16733; float r16735 = 0.3333333333333333f; float r16736 = r16704 * (r16704 * r16704); float r16737 = r16735 * r16736; float r16738 = r16737 + r16704; float r16739 = 1.3333333333333333f; float r16740 = r16739 * r16704; float r16741 = r16740 * r16726; float r16742 = r16741 / r16724; float r16743 = 4.0f; float r16744 = pow(r16711, r16743); float r16745 = pow(r16708, r16743); float r16746 = r16744 / r16745; float r16747 = r16736 / r16746; float r16748 = r16742 + r16747; float r16749 = r16738 + r16748; float r16750 = r16734 + r16749; float r16751 = r16722 ? r16750 : r16720; float r16752 = r16706 ? r16720 : r16751; return r16752; } double f_od(double x, double eps) { double r16753 = eps; double r16754 = -1.5194640071230868e-06; bool r16755 = r16753 <= r16754; double r16756 = x; double r16757 = sin(r16756); double r16758 = cos(r16753); double r16759 = r16757 * r16758; double r16760 = cos(r16756); double r16761 = sin(r16753); double r16762 = r16760 * r16761; double r16763 = r16759 + r16762; double r16764 = r16760 * r16758; double r16765 = r16757 * r16761; double r16766 = r16764 - r16765; double r16767 = r16763 / r16766; double r16768 = tan(r16756); double r16769 = r16767 - r16768; double r16770 = 6.019887702751239e-12; bool r16771 = r16753 <= r16770; double r16772 = r16760 / r16757; double r16773 = r16772 * r16772; double r16774 = r16753 / r16773; double r16775 = r16753 * r16753; double r16776 = r16775 / r16760; double r16777 = r16776 * r16757; double r16778 = r16774 + r16777; double r16779 = r16757 * (r16757 * r16757); double r16780 = r16760 * (r16760 * r16760); double r16781 = r16780 / r16775; double r16782 = r16779 / r16781; double r16783 = r16778 + r16782; double r16784 = 0.3333333333333333; double r16785 = r16753 * (r16753 * r16753); double r16786 = r16784 * r16785; double r16787 = r16786 + r16753; double r16788 = 1.3333333333333333; double r16789 = r16788 * r16753; double r16790 = r16789 * r16775; double r16791 = r16790 / r16773; double r16792 = 4.0; double r16793 = pow(r16760, r16792); double r16794 = pow(r16757, r16792); double r16795 = r16793 / r16794; double r16796 = r16785 / r16795; double r16797 = r16791 + r16796; double r16798 = r16787 + r16797; double r16799 = r16783 + r16798; double r16800 = r16771 ? r16799 : r16769; double r16801 = r16755 ? r16769 : r16800; return r16801; } 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 r16802, r16803, r16804, r16805, r16806, r16807; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r16802); mpfr_init(r16803); mpfr_init(r16804); mpfr_init(r16805); mpfr_init(r16806); mpfr_init(r16807); } double f_im(double x, double eps) { mpfr_set_d(r16802, x, MPFR_RNDN); mpfr_set_d(r16803, eps, MPFR_RNDN); mpfr_add(r16804, r16802, r16803, MPFR_RNDN); mpfr_tan(r16805, r16804, MPFR_RNDN); mpfr_tan(r16806, r16802, MPFR_RNDN); mpfr_sub(r16807, r16805, r16806, MPFR_RNDN); return mpfr_get_d(r16807, MPFR_RNDN); } static mpfr_t 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, r16850, r16851, r16852, r16853, r16854, r16855, r16856; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init(r16808); mpfr_init_set_str(r16809, "-1.5194640071230868e-06", 10, MPFR_RNDN); mpfr_init(r16810); mpfr_init(r16811); mpfr_init(r16812); mpfr_init(r16813); mpfr_init(r16814); mpfr_init(r16815); mpfr_init(r16816); 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_set_str(r16825, "6.019887702751239e-12", 10, MPFR_RNDN); mpfr_init(r16826); mpfr_init(r16827); mpfr_init(r16828); mpfr_init(r16829); mpfr_init(r16830); mpfr_init(r16831); mpfr_init(r16832); mpfr_init(r16833); mpfr_init(r16834); mpfr_init(r16835); mpfr_init(r16836); mpfr_init(r16837); mpfr_init(r16838); mpfr_init_set_str(r16839, "1/3", 10, MPFR_RNDN); mpfr_init(r16840); mpfr_init(r16841); mpfr_init(r16842); mpfr_init_set_str(r16843, "4/3", 10, MPFR_RNDN); mpfr_init(r16844); mpfr_init(r16845); mpfr_init(r16846); mpfr_init_set_str(r16847, "4", 10, MPFR_RNDN); mpfr_init(r16848); mpfr_init(r16849); mpfr_init(r16850); mpfr_init(r16851); mpfr_init(r16852); mpfr_init(r16853); mpfr_init(r16854); mpfr_init(r16855); mpfr_init(r16856); } double f_fm(double x, double eps) { mpfr_set_d(r16808, eps, MPFR_RNDN); ; mpfr_set_si(r16810, mpfr_cmp(r16808, r16809) <= 0, MPFR_RNDN); mpfr_set_d(r16811, x, MPFR_RNDN); mpfr_sin(r16812, r16811, MPFR_RNDN); mpfr_cos(r16813, r16808, MPFR_RNDN); mpfr_mul(r16814, r16812, r16813, MPFR_RNDN); mpfr_cos(r16815, r16811, MPFR_RNDN); mpfr_sin(r16816, r16808, MPFR_RNDN); mpfr_mul(r16817, r16815, r16816, MPFR_RNDN); mpfr_add(r16818, r16814, r16817, MPFR_RNDN); mpfr_mul(r16819, r16815, r16813, MPFR_RNDN); mpfr_mul(r16820, r16812, r16816, MPFR_RNDN); mpfr_sub(r16821, r16819, r16820, MPFR_RNDN); mpfr_div(r16822, r16818, r16821, MPFR_RNDN); mpfr_tan(r16823, r16811, MPFR_RNDN); mpfr_sub(r16824, r16822, r16823, MPFR_RNDN); ; mpfr_set_si(r16826, mpfr_cmp(r16808, r16825) <= 0, MPFR_RNDN); mpfr_div(r16827, r16815, r16812, MPFR_RNDN); mpfr_sqr(r16828, r16827, MPFR_RNDN); mpfr_div(r16829, r16808, r16828, MPFR_RNDN); mpfr_sqr(r16830, r16808, MPFR_RNDN); mpfr_div(r16831, r16830, r16815, MPFR_RNDN); mpfr_mul(r16832, r16831, r16812, MPFR_RNDN); mpfr_add(r16833, r16829, r16832, MPFR_RNDN); mpfr_mul(r16834, r16812, r16812, MPFR_RNDN); mpfr_mul(r16834, r16834, r16812, MPFR_RNDN); mpfr_mul(r16835, r16815, r16815, MPFR_RNDN); mpfr_mul(r16835, r16835, r16815, MPFR_RNDN); mpfr_div(r16836, r16835, r16830, MPFR_RNDN); mpfr_div(r16837, r16834, r16836, MPFR_RNDN); mpfr_add(r16838, r16833, r16837, MPFR_RNDN); ; mpfr_mul(r16840, r16808, r16808, MPFR_RNDN); mpfr_mul(r16840, r16840, r16808, MPFR_RNDN); mpfr_mul(r16841, r16839, r16840, MPFR_RNDN); mpfr_add(r16842, r16841, r16808, MPFR_RNDN); ; mpfr_mul(r16844, r16843, r16808, MPFR_RNDN); mpfr_mul(r16845, r16844, r16830, MPFR_RNDN); mpfr_div(r16846, r16845, r16828, MPFR_RNDN); ; mpfr_pow(r16848, r16815, r16847, MPFR_RNDN); mpfr_pow(r16849, r16812, r16847, MPFR_RNDN); mpfr_div(r16850, r16848, r16849, MPFR_RNDN); mpfr_div(r16851, r16840, r16850, MPFR_RNDN); mpfr_add(r16852, r16846, r16851, MPFR_RNDN); mpfr_add(r16853, r16842, r16852, MPFR_RNDN); mpfr_add(r16854, r16838, r16853, MPFR_RNDN); if (mpfr_get_si(r16826, MPFR_RNDN)) { mpfr_set(r16855, r16854, MPFR_RNDN); } else { mpfr_set(r16855, r16824, MPFR_RNDN); }; if (mpfr_get_si(r16810, MPFR_RNDN)) { mpfr_set(r16856, r16824, MPFR_RNDN); } else { mpfr_set(r16856, r16855, MPFR_RNDN); }; return mpfr_get_d(r16856, MPFR_RNDN); } static mpfr_t r16857, r16858, r16859, r16860, r16861, r16862, r16863, r16864, r16865, r16866, r16867, r16868, r16869, r16870, r16871, r16872, r16873, r16874, r16875, r16876, r16877, r16878, r16879, r16880, r16881, r16882, r16883, r16884, r16885, r16886, r16887, r16888, r16889, r16890, r16891, r16892, r16893, r16894, r16895, r16896, r16897, r16898, r16899, r16900, r16901, r16902, r16903, r16904, r16905; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init(r16857); mpfr_init_set_str(r16858, "-1.5194640071230868e-06", 10, MPFR_RNDN); mpfr_init(r16859); mpfr_init(r16860); mpfr_init(r16861); mpfr_init(r16862); mpfr_init(r16863); mpfr_init(r16864); mpfr_init(r16865); mpfr_init(r16866); mpfr_init(r16867); mpfr_init(r16868); mpfr_init(r16869); mpfr_init(r16870); mpfr_init(r16871); mpfr_init(r16872); mpfr_init(r16873); mpfr_init_set_str(r16874, "6.019887702751239e-12", 10, MPFR_RNDN); mpfr_init(r16875); mpfr_init(r16876); mpfr_init(r16877); mpfr_init(r16878); mpfr_init(r16879); mpfr_init(r16880); mpfr_init(r16881); mpfr_init(r16882); mpfr_init(r16883); mpfr_init(r16884); mpfr_init(r16885); mpfr_init(r16886); mpfr_init(r16887); mpfr_init_set_str(r16888, "1/3", 10, MPFR_RNDN); mpfr_init(r16889); mpfr_init(r16890); mpfr_init(r16891); mpfr_init_set_str(r16892, "4/3", 10, MPFR_RNDN); mpfr_init(r16893); mpfr_init(r16894); mpfr_init(r16895); mpfr_init_set_str(r16896, "4", 10, MPFR_RNDN); mpfr_init(r16897); mpfr_init(r16898); mpfr_init(r16899); mpfr_init(r16900); mpfr_init(r16901); mpfr_init(r16902); mpfr_init(r16903); mpfr_init(r16904); mpfr_init(r16905); } double f_dm(double x, double eps) { mpfr_set_d(r16857, eps, MPFR_RNDN); ; mpfr_set_si(r16859, mpfr_cmp(r16857, r16858) <= 0, MPFR_RNDN); mpfr_set_d(r16860, x, MPFR_RNDN); mpfr_sin(r16861, r16860, MPFR_RNDN); mpfr_cos(r16862, r16857, MPFR_RNDN); mpfr_mul(r16863, r16861, r16862, MPFR_RNDN); mpfr_cos(r16864, r16860, MPFR_RNDN); mpfr_sin(r16865, r16857, MPFR_RNDN); mpfr_mul(r16866, r16864, r16865, MPFR_RNDN); mpfr_add(r16867, r16863, r16866, MPFR_RNDN); mpfr_mul(r16868, r16864, r16862, MPFR_RNDN); mpfr_mul(r16869, r16861, r16865, MPFR_RNDN); mpfr_sub(r16870, r16868, r16869, MPFR_RNDN); mpfr_div(r16871, r16867, r16870, MPFR_RNDN); mpfr_tan(r16872, r16860, MPFR_RNDN); mpfr_sub(r16873, r16871, r16872, MPFR_RNDN); ; mpfr_set_si(r16875, mpfr_cmp(r16857, r16874) <= 0, MPFR_RNDN); mpfr_div(r16876, r16864, r16861, MPFR_RNDN); mpfr_sqr(r16877, r16876, MPFR_RNDN); mpfr_div(r16878, r16857, r16877, MPFR_RNDN); mpfr_sqr(r16879, r16857, MPFR_RNDN); mpfr_div(r16880, r16879, r16864, MPFR_RNDN); mpfr_mul(r16881, r16880, r16861, MPFR_RNDN); mpfr_add(r16882, r16878, r16881, MPFR_RNDN); mpfr_mul(r16883, r16861, r16861, MPFR_RNDN); mpfr_mul(r16883, r16883, r16861, MPFR_RNDN); mpfr_mul(r16884, r16864, r16864, MPFR_RNDN); mpfr_mul(r16884, r16884, r16864, MPFR_RNDN); mpfr_div(r16885, r16884, r16879, MPFR_RNDN); mpfr_div(r16886, r16883, r16885, MPFR_RNDN); mpfr_add(r16887, r16882, r16886, MPFR_RNDN); ; mpfr_mul(r16889, r16857, r16857, MPFR_RNDN); mpfr_mul(r16889, r16889, r16857, MPFR_RNDN); mpfr_mul(r16890, r16888, r16889, MPFR_RNDN); mpfr_add(r16891, r16890, r16857, MPFR_RNDN); ; mpfr_mul(r16893, r16892, r16857, MPFR_RNDN); mpfr_mul(r16894, r16893, r16879, MPFR_RNDN); mpfr_div(r16895, r16894, r16877, MPFR_RNDN); ; mpfr_pow(r16897, r16864, r16896, MPFR_RNDN); mpfr_pow(r16898, r16861, r16896, MPFR_RNDN); mpfr_div(r16899, r16897, r16898, MPFR_RNDN); mpfr_div(r16900, r16889, r16899, MPFR_RNDN); mpfr_add(r16901, r16895, r16900, MPFR_RNDN); mpfr_add(r16902, r16891, r16901, MPFR_RNDN); mpfr_add(r16903, r16887, r16902, MPFR_RNDN); if (mpfr_get_si(r16875, MPFR_RNDN)) { mpfr_set(r16904, r16903, MPFR_RNDN); } else { mpfr_set(r16904, r16873, MPFR_RNDN); }; if (mpfr_get_si(r16859, MPFR_RNDN)) { mpfr_set(r16905, r16873, MPFR_RNDN); } else { mpfr_set(r16905, r16904, MPFR_RNDN); }; return mpfr_get_d(r16905, MPFR_RNDN); }