#include #include #include #include #include char *name = "2tan (problem 3.3.2)"; double f_if(float x, float eps) { float r22779 = x; float r22780 = eps; float r22781 = r22779 + r22780; float r22782 = tan(r22781); float r22783 = tan(r22779); float r22784 = r22782 - r22783; return r22784; } double f_id(double x, double eps) { double r22785 = x; double r22786 = eps; double r22787 = r22785 + r22786; double r22788 = tan(r22787); double r22789 = tan(r22785); double r22790 = r22788 - r22789; return r22790; } double f_of(float x, float eps) { float r22791 = eps; float r22792 = sin(r22791); float r22793 = cos(r22791); float r22794 = r22792 / r22793; float r22795 = x; float r22796 = cos(r22795); float r22797 = r22796 / r22794; float r22798 = r22794 / r22797; float r22799 = sin(r22795); float r22800 = 1; float r22801 = 3; float r22802 = pow(r22799, r22801); float r22803 = pow(r22796, r22801); float r22804 = r22802 / r22803; float r22805 = pow(r22794, r22801); float r22806 = r22804 * r22805; float r22807 = r22800 - r22806; float r22808 = r22799 / r22807; float r22809 = r22794 / r22807; float r22810 = fma(r22798, r22808, r22809); float r22811 = r22799 / r22796; float r22812 = r22811 * r22811; float r22813 = r22812 / r22807; float r22814 = r22794 * r22794; float r22815 = r22814 * r22804; float r22816 = r22815 / r22807; float r22817 = fma(r22794, r22813, r22816); float r22818 = r22810 + r22817; float r22819 = r22805 * r22813; float r22820 = r22811 / r22807; float r22821 = r22811 - r22820; float r22822 = r22819 - r22821; float r22823 = r22818 + r22822; return r22823; } double f_od(double x, double eps) { double r22824 = eps; double r22825 = sin(r22824); double r22826 = cos(r22824); double r22827 = r22825 / r22826; double r22828 = x; double r22829 = cos(r22828); double r22830 = r22829 / r22827; double r22831 = r22827 / r22830; double r22832 = sin(r22828); double r22833 = 1; double r22834 = 3; double r22835 = pow(r22832, r22834); double r22836 = pow(r22829, r22834); double r22837 = r22835 / r22836; double r22838 = pow(r22827, r22834); double r22839 = r22837 * r22838; double r22840 = r22833 - r22839; double r22841 = r22832 / r22840; double r22842 = r22827 / r22840; double r22843 = fma(r22831, r22841, r22842); double r22844 = r22832 / r22829; double r22845 = r22844 * r22844; double r22846 = r22845 / r22840; double r22847 = r22827 * r22827; double r22848 = r22847 * r22837; double r22849 = r22848 / r22840; double r22850 = fma(r22827, r22846, r22849); double r22851 = r22843 + r22850; double r22852 = r22838 * r22846; double r22853 = r22844 / r22840; double r22854 = r22844 - r22853; double r22855 = r22852 - r22854; double r22856 = r22851 + r22855; return r22856; } 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 r22857, r22858, r22859, r22860, r22861, r22862; void setup_mpfr_f_im() { mpfr_set_default_prec(2448); mpfr_init(r22857); mpfr_init(r22858); mpfr_init(r22859); mpfr_init(r22860); mpfr_init(r22861); mpfr_init(r22862); } double f_im(double x, double eps) { mpfr_set_d(r22857, x, MPFR_RNDN); mpfr_set_d(r22858, eps, MPFR_RNDN); mpfr_add(r22859, r22857, r22858, MPFR_RNDN); mpfr_tan(r22860, r22859, MPFR_RNDN); mpfr_tan(r22861, r22857, MPFR_RNDN); mpfr_sub(r22862, r22860, r22861, MPFR_RNDN); return mpfr_get_d(r22862, MPFR_RNDN); } static mpfr_t r22863, r22864, r22865, r22866, r22867, r22868, r22869, r22870, r22871, r22872, r22873, r22874, r22875, r22876, r22877, r22878, r22879, r22880, r22881, r22882, r22883, r22884, r22885, r22886, r22887, r22888, r22889, r22890, r22891, r22892, r22893, r22894, r22895; void setup_mpfr_f_fm() { mpfr_set_default_prec(2448); mpfr_init(r22863); mpfr_init(r22864); mpfr_init(r22865); mpfr_init(r22866); mpfr_init(r22867); mpfr_init(r22868); mpfr_init(r22869); mpfr_init(r22870); mpfr_init(r22871); mpfr_init_set_str(r22872, "1", 10, MPFR_RNDN); mpfr_init_set_str(r22873, "3", 10, MPFR_RNDN); mpfr_init(r22874); mpfr_init(r22875); mpfr_init(r22876); mpfr_init(r22877); mpfr_init(r22878); mpfr_init(r22879); mpfr_init(r22880); mpfr_init(r22881); mpfr_init(r22882); mpfr_init(r22883); mpfr_init(r22884); mpfr_init(r22885); mpfr_init(r22886); mpfr_init(r22887); mpfr_init(r22888); mpfr_init(r22889); mpfr_init(r22890); mpfr_init(r22891); mpfr_init(r22892); mpfr_init(r22893); mpfr_init(r22894); mpfr_init(r22895); } double f_fm(double x, double eps) { mpfr_set_d(r22863, eps, MPFR_RNDN); mpfr_sin(r22864, r22863, MPFR_RNDN); mpfr_cos(r22865, r22863, MPFR_RNDN); mpfr_div(r22866, r22864, r22865, MPFR_RNDN); mpfr_set_d(r22867, x, MPFR_RNDN); mpfr_cos(r22868, r22867, MPFR_RNDN); mpfr_div(r22869, r22868, r22866, MPFR_RNDN); mpfr_div(r22870, r22866, r22869, MPFR_RNDN); mpfr_sin(r22871, r22867, MPFR_RNDN); ; ; mpfr_pow(r22874, r22871, r22873, MPFR_RNDN); mpfr_pow(r22875, r22868, r22873, MPFR_RNDN); mpfr_div(r22876, r22874, r22875, MPFR_RNDN); mpfr_pow(r22877, r22866, r22873, MPFR_RNDN); mpfr_mul(r22878, r22876, r22877, MPFR_RNDN); mpfr_sub(r22879, r22872, r22878, MPFR_RNDN); mpfr_div(r22880, r22871, r22879, MPFR_RNDN); mpfr_div(r22881, r22866, r22879, MPFR_RNDN); mpfr_fma(r22882, r22870, r22880, r22881, MPFR_RNDN); mpfr_div(r22883, r22871, r22868, MPFR_RNDN); mpfr_mul(r22884, r22883, r22883, MPFR_RNDN); mpfr_div(r22885, r22884, r22879, MPFR_RNDN); mpfr_mul(r22886, r22866, r22866, MPFR_RNDN); mpfr_mul(r22887, r22886, r22876, MPFR_RNDN); mpfr_div(r22888, r22887, r22879, MPFR_RNDN); mpfr_fma(r22889, r22866, r22885, r22888, MPFR_RNDN); mpfr_add(r22890, r22882, r22889, MPFR_RNDN); mpfr_mul(r22891, r22877, r22885, MPFR_RNDN); mpfr_div(r22892, r22883, r22879, MPFR_RNDN); mpfr_sub(r22893, r22883, r22892, MPFR_RNDN); mpfr_sub(r22894, r22891, r22893, MPFR_RNDN); mpfr_add(r22895, r22890, r22894, MPFR_RNDN); return mpfr_get_d(r22895, MPFR_RNDN); } static mpfr_t r22896, r22897, r22898, r22899, r22900, r22901, r22902, r22903, r22904, r22905, r22906, r22907, r22908, r22909, r22910, r22911, r22912, r22913, r22914, r22915, r22916, r22917, r22918, r22919, r22920, r22921, r22922, r22923, r22924, r22925, r22926, r22927, r22928; void setup_mpfr_f_dm() { mpfr_set_default_prec(2448); mpfr_init(r22896); mpfr_init(r22897); mpfr_init(r22898); mpfr_init(r22899); mpfr_init(r22900); mpfr_init(r22901); mpfr_init(r22902); mpfr_init(r22903); mpfr_init(r22904); mpfr_init_set_str(r22905, "1", 10, MPFR_RNDN); mpfr_init_set_str(r22906, "3", 10, MPFR_RNDN); mpfr_init(r22907); mpfr_init(r22908); mpfr_init(r22909); mpfr_init(r22910); mpfr_init(r22911); mpfr_init(r22912); mpfr_init(r22913); mpfr_init(r22914); mpfr_init(r22915); mpfr_init(r22916); mpfr_init(r22917); mpfr_init(r22918); mpfr_init(r22919); mpfr_init(r22920); mpfr_init(r22921); mpfr_init(r22922); mpfr_init(r22923); mpfr_init(r22924); mpfr_init(r22925); mpfr_init(r22926); mpfr_init(r22927); mpfr_init(r22928); } double f_dm(double x, double eps) { mpfr_set_d(r22896, eps, MPFR_RNDN); mpfr_sin(r22897, r22896, MPFR_RNDN); mpfr_cos(r22898, r22896, MPFR_RNDN); mpfr_div(r22899, r22897, r22898, MPFR_RNDN); mpfr_set_d(r22900, x, MPFR_RNDN); mpfr_cos(r22901, r22900, MPFR_RNDN); mpfr_div(r22902, r22901, r22899, MPFR_RNDN); mpfr_div(r22903, r22899, r22902, MPFR_RNDN); mpfr_sin(r22904, r22900, MPFR_RNDN); ; ; mpfr_pow(r22907, r22904, r22906, MPFR_RNDN); mpfr_pow(r22908, r22901, r22906, MPFR_RNDN); mpfr_div(r22909, r22907, r22908, MPFR_RNDN); mpfr_pow(r22910, r22899, r22906, MPFR_RNDN); mpfr_mul(r22911, r22909, r22910, MPFR_RNDN); mpfr_sub(r22912, r22905, r22911, MPFR_RNDN); mpfr_div(r22913, r22904, r22912, MPFR_RNDN); mpfr_div(r22914, r22899, r22912, MPFR_RNDN); mpfr_fma(r22915, r22903, r22913, r22914, MPFR_RNDN); mpfr_div(r22916, r22904, r22901, MPFR_RNDN); mpfr_mul(r22917, r22916, r22916, MPFR_RNDN); mpfr_div(r22918, r22917, r22912, MPFR_RNDN); mpfr_mul(r22919, r22899, r22899, MPFR_RNDN); mpfr_mul(r22920, r22919, r22909, MPFR_RNDN); mpfr_div(r22921, r22920, r22912, MPFR_RNDN); mpfr_fma(r22922, r22899, r22918, r22921, MPFR_RNDN); mpfr_add(r22923, r22915, r22922, MPFR_RNDN); mpfr_mul(r22924, r22910, r22918, MPFR_RNDN); mpfr_div(r22925, r22916, r22912, MPFR_RNDN); mpfr_sub(r22926, r22916, r22925, MPFR_RNDN); mpfr_sub(r22927, r22924, r22926, MPFR_RNDN); mpfr_add(r22928, r22923, r22927, MPFR_RNDN); return mpfr_get_d(r22928, MPFR_RNDN); }