#include #include #include #include #include char *name = "Jmat.Real.gamma, branch z greater than 0.5"; double f_if(float z) { float r17619 = atan2(1.0, 0.0); float r17620 = 2.0f; float r17621 = r17619 * r17620; float r17622 = sqrt(r17621); float r17623 = z; float r17624 = 1.0f; float r17625 = r17623 - r17624; float r17626 = 7.0f; float r17627 = r17625 + r17626; float r17628 = 0.5f; float r17629 = r17627 + r17628; float r17630 = r17625 + r17628; float r17631 = pow(r17629, r17630); float r17632 = r17622 * r17631; float r17633 = -r17629; float r17634 = exp(r17633); float r17635 = r17632 * r17634; float r17636 = 1.0f; float r17637 = 676.5203857421875f; float r17638 = r17625 + r17624; float r17639 = r17637 / r17638; float r17640 = r17636 + r17639; float r17641 = -1259.13916015625f; float r17642 = r17625 + r17620; float r17643 = r17641 / r17642; float r17644 = r17640 + r17643; float r17645 = 771.3234252929688f; float r17646 = 3.0f; float r17647 = r17625 + r17646; float r17648 = r17645 / r17647; float r17649 = r17644 + r17648; float r17650 = -176.6150360107422f; float r17651 = 4.0f; float r17652 = r17625 + r17651; float r17653 = r17650 / r17652; float r17654 = r17649 + r17653; float r17655 = 12.507343292236328f; float r17656 = 5.0f; float r17657 = r17625 + r17656; float r17658 = r17655 / r17657; float r17659 = r17654 + r17658; float r17660 = -0.138571098446846f; float r17661 = 6.0f; float r17662 = r17625 + r17661; float r17663 = r17660 / r17662; float r17664 = r17659 + r17663; float r17665 = 9.984369171434082e-06f; float r17666 = r17665 / r17627; float r17667 = r17664 + r17666; float r17668 = 1.5056326674312004e-07f; float r17669 = 8.0f; float r17670 = r17625 + r17669; float r17671 = r17668 / r17670; float r17672 = r17667 + r17671; float r17673 = r17635 * r17672; return r17673; } double f_id(double z) { double r17674 = atan2(1.0, 0.0); double r17675 = 2.0; double r17676 = r17674 * r17675; double r17677 = sqrt(r17676); double r17678 = z; double r17679 = 1.0; double r17680 = r17678 - r17679; double r17681 = 7.0; double r17682 = r17680 + r17681; double r17683 = 0.5; double r17684 = r17682 + r17683; double r17685 = r17680 + r17683; double r17686 = pow(r17684, r17685); double r17687 = r17677 * r17686; double r17688 = -r17684; double r17689 = exp(r17688); double r17690 = r17687 * r17689; double r17691 = 1.0; double r17692 = 676.5203857421875; double r17693 = r17680 + r17679; double r17694 = r17692 / r17693; double r17695 = r17691 + r17694; double r17696 = -1259.13916015625; double r17697 = r17680 + r17675; double r17698 = r17696 / r17697; double r17699 = r17695 + r17698; double r17700 = 771.3234252929688; double r17701 = 3.0; double r17702 = r17680 + r17701; double r17703 = r17700 / r17702; double r17704 = r17699 + r17703; double r17705 = -176.6150360107422; double r17706 = 4.0; double r17707 = r17680 + r17706; double r17708 = r17705 / r17707; double r17709 = r17704 + r17708; double r17710 = 12.507343292236328; double r17711 = 5.0; double r17712 = r17680 + r17711; double r17713 = r17710 / r17712; double r17714 = r17709 + r17713; double r17715 = -0.138571098446846; double r17716 = 6.0; double r17717 = r17680 + r17716; double r17718 = r17715 / r17717; double r17719 = r17714 + r17718; double r17720 = 9.984369171434082e-06; double r17721 = r17720 / r17682; double r17722 = r17719 + r17721; double r17723 = 1.5056326674312004e-07; double r17724 = 8.0; double r17725 = r17680 + r17724; double r17726 = r17723 / r17725; double r17727 = r17722 + r17726; double r17728 = r17690 * r17727; return r17728; } double f_of(float z) { float r17729 = 2585.19482421875f; float r17730 = z; float r17731 = 2.0f; float r17732 = sqrt(r17731); float r17733 = r17730 * r17732; float r17734 = 6.5f; float r17735 = exp(r17734); float r17736 = r17733 / r17735; float r17737 = atan2(1.0, 0.0); float r17738 = sqrt(r17737); float r17739 = 1.0f; float r17740 = 1.0f; float r17741 = pow(r17734, r17740); float r17742 = r17739 / r17741; float r17743 = 0.5f; float r17744 = pow(r17742, r17743); float r17745 = r17738 * r17744; float r17746 = r17736 * r17745; float r17747 = r17729 * r17746; float r17748 = 338.26019287109375f; float r17749 = log(r17734); float r17750 = r17749 * r17749; float r17751 = r17732 * r17750; float r17752 = r17730 * r17751; float r17753 = r17752 / r17735; float r17754 = r17753 * r17745; float r17755 = r17748 * r17754; float r17756 = 676.5203857421875f; float r17757 = r17735 * r17730; float r17758 = r17732 / r17757; float r17759 = r17758 * r17745; float r17760 = r17756 * r17759; float r17761 = r17732 * r17749; float r17762 = r17761 / r17735; float r17763 = r17762 * r17745; float r17764 = r17756 * r17763; float r17765 = r17760 + r17764; float r17766 = r17755 + r17765; float r17767 = r17747 + r17766; float r17768 = 1656.8104248046875f; float r17769 = r17732 / r17735; float r17770 = r17769 * r17745; float r17771 = r17768 * r17770; float r17772 = r17730 * r17761; float r17773 = r17772 / r17735; float r17774 = r17773 * r17745; float r17775 = r17768 * r17774; float r17776 = r17771 + r17775; float r17777 = r17767 - r17776; return r17777; } double f_od(double z) { double r17778 = 2585.19482421875; double r17779 = z; double r17780 = 2.0; double r17781 = sqrt(r17780); double r17782 = r17779 * r17781; double r17783 = 6.5; double r17784 = exp(r17783); double r17785 = r17782 / r17784; double r17786 = atan2(1.0, 0.0); double r17787 = sqrt(r17786); double r17788 = 1.0; double r17789 = 1.0; double r17790 = pow(r17783, r17789); double r17791 = r17788 / r17790; double r17792 = 0.5; double r17793 = pow(r17791, r17792); double r17794 = r17787 * r17793; double r17795 = r17785 * r17794; double r17796 = r17778 * r17795; double r17797 = 338.26019287109375; double r17798 = log(r17783); double r17799 = r17798 * r17798; double r17800 = r17781 * r17799; double r17801 = r17779 * r17800; double r17802 = r17801 / r17784; double r17803 = r17802 * r17794; double r17804 = r17797 * r17803; double r17805 = 676.5203857421875; double r17806 = r17784 * r17779; double r17807 = r17781 / r17806; double r17808 = r17807 * r17794; double r17809 = r17805 * r17808; double r17810 = r17781 * r17798; double r17811 = r17810 / r17784; double r17812 = r17811 * r17794; double r17813 = r17805 * r17812; double r17814 = r17809 + r17813; double r17815 = r17804 + r17814; double r17816 = r17796 + r17815; double r17817 = 1656.8104248046875; double r17818 = r17781 / r17784; double r17819 = r17818 * r17794; double r17820 = r17817 * r17819; double r17821 = r17779 * r17810; double r17822 = r17821 / r17784; double r17823 = r17822 * r17794; double r17824 = r17817 * r17823; double r17825 = r17820 + r17824; double r17826 = r17816 - r17825; return r17826; } 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 r17827, r17828, r17829, r17830, r17831, r17832, r17833, r17834, r17835, r17836, r17837, r17838, r17839, r17840, r17841, r17842, r17843, r17844, r17845, r17846, r17847, r17848, r17849, r17850, r17851, r17852, r17853, r17854, r17855, r17856, r17857, r17858, r17859, r17860, r17861, r17862, r17863, r17864, r17865, r17866, r17867, r17868, r17869, r17870, r17871, r17872, r17873, r17874, r17875, r17876, r17877, r17878, r17879, r17880, r17881; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r17827); mpfr_init_set_str(r17828, "2", 10, MPFR_RNDN); mpfr_init(r17829); mpfr_init(r17830); mpfr_init(r17831); mpfr_init_set_str(r17832, "1", 10, MPFR_RNDN); mpfr_init(r17833); mpfr_init_set_str(r17834, "7", 10, MPFR_RNDN); mpfr_init(r17835); mpfr_init_set_str(r17836, "0.5", 10, MPFR_RNDN); mpfr_init(r17837); mpfr_init(r17838); mpfr_init(r17839); mpfr_init(r17840); mpfr_init(r17841); mpfr_init(r17842); mpfr_init(r17843); mpfr_init_set_str(r17844, "0.9999999999998099", 10, MPFR_RNDN); mpfr_init_set_str(r17845, "676.5203681218851", 10, MPFR_RNDN); mpfr_init(r17846); mpfr_init(r17847); mpfr_init(r17848); mpfr_init_set_str(r17849, "-1259.1392167224028", 10, MPFR_RNDN); mpfr_init(r17850); mpfr_init(r17851); mpfr_init(r17852); mpfr_init_set_str(r17853, "771.3234287776531", 10, MPFR_RNDN); mpfr_init_set_str(r17854, "3", 10, MPFR_RNDN); mpfr_init(r17855); mpfr_init(r17856); mpfr_init(r17857); mpfr_init_set_str(r17858, "-176.6150291621406", 10, MPFR_RNDN); mpfr_init_set_str(r17859, "4", 10, MPFR_RNDN); mpfr_init(r17860); mpfr_init(r17861); mpfr_init(r17862); mpfr_init_set_str(r17863, "12.507343278686905", 10, MPFR_RNDN); mpfr_init_set_str(r17864, "5", 10, MPFR_RNDN); mpfr_init(r17865); mpfr_init(r17866); mpfr_init(r17867); mpfr_init_set_str(r17868, "-0.13857109526572012", 10, MPFR_RNDN); mpfr_init_set_str(r17869, "6", 10, MPFR_RNDN); mpfr_init(r17870); mpfr_init(r17871); mpfr_init(r17872); mpfr_init_set_str(r17873, "9.984369578019572e-06", 10, MPFR_RNDN); mpfr_init(r17874); mpfr_init(r17875); mpfr_init_set_str(r17876, "1.5056327351493116e-07", 10, MPFR_RNDN); mpfr_init_set_str(r17877, "8", 10, MPFR_RNDN); mpfr_init(r17878); mpfr_init(r17879); mpfr_init(r17880); mpfr_init(r17881); } double f_im(double z) { mpfr_const_pi(r17827, MPFR_RNDN); ; mpfr_mul(r17829, r17827, r17828, MPFR_RNDN); mpfr_sqrt(r17830, r17829, MPFR_RNDN); mpfr_set_d(r17831, z, MPFR_RNDN); ; mpfr_sub(r17833, r17831, r17832, MPFR_RNDN); ; mpfr_add(r17835, r17833, r17834, MPFR_RNDN); ; mpfr_add(r17837, r17835, r17836, MPFR_RNDN); mpfr_add(r17838, r17833, r17836, MPFR_RNDN); mpfr_pow(r17839, r17837, r17838, MPFR_RNDN); mpfr_mul(r17840, r17830, r17839, MPFR_RNDN); mpfr_neg(r17841, r17837, MPFR_RNDN); mpfr_exp(r17842, r17841, MPFR_RNDN); mpfr_mul(r17843, r17840, r17842, MPFR_RNDN); ; ; mpfr_add(r17846, r17833, r17832, MPFR_RNDN); mpfr_div(r17847, r17845, r17846, MPFR_RNDN); mpfr_add(r17848, r17844, r17847, MPFR_RNDN); ; mpfr_add(r17850, r17833, r17828, MPFR_RNDN); mpfr_div(r17851, r17849, r17850, MPFR_RNDN); mpfr_add(r17852, r17848, r17851, MPFR_RNDN); ; ; mpfr_add(r17855, r17833, r17854, MPFR_RNDN); mpfr_div(r17856, r17853, r17855, MPFR_RNDN); mpfr_add(r17857, r17852, r17856, MPFR_RNDN); ; ; mpfr_add(r17860, r17833, r17859, MPFR_RNDN); mpfr_div(r17861, r17858, r17860, MPFR_RNDN); mpfr_add(r17862, r17857, r17861, MPFR_RNDN); ; ; mpfr_add(r17865, r17833, r17864, MPFR_RNDN); mpfr_div(r17866, r17863, r17865, MPFR_RNDN); mpfr_add(r17867, r17862, r17866, MPFR_RNDN); ; ; mpfr_add(r17870, r17833, r17869, MPFR_RNDN); mpfr_div(r17871, r17868, r17870, MPFR_RNDN); mpfr_add(r17872, r17867, r17871, MPFR_RNDN); ; mpfr_div(r17874, r17873, r17835, MPFR_RNDN); mpfr_add(r17875, r17872, r17874, MPFR_RNDN); ; ; mpfr_add(r17878, r17833, r17877, MPFR_RNDN); mpfr_div(r17879, r17876, r17878, MPFR_RNDN); mpfr_add(r17880, r17875, r17879, MPFR_RNDN); mpfr_mul(r17881, r17843, r17880, MPFR_RNDN); return mpfr_get_d(r17881, MPFR_RNDN); } static mpfr_t r17882, r17883, r17884, r17885, r17886, r17887, r17888, r17889, r17890, r17891, r17892, r17893, r17894, r17895, r17896, r17897, r17898, r17899, r17900, r17901, r17902, r17903, r17904, r17905, r17906, r17907, r17908, r17909, r17910, r17911, r17912, r17913, r17914, r17915, r17916, r17917, r17918, r17919, r17920, r17921, r17922, r17923, r17924, r17925, r17926, r17927, r17928, r17929, r17930; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init_set_str(r17882, "2585.1948787825354", 10, MPFR_RNDN); mpfr_init(r17883); mpfr_init_set_str(r17884, "2", 10, MPFR_RNDN); mpfr_init(r17885); mpfr_init(r17886); mpfr_init_set_str(r17887, "6.5", 10, MPFR_RNDN); mpfr_init(r17888); mpfr_init(r17889); mpfr_init(r17890); mpfr_init(r17891); mpfr_init_set_str(r17892, "1", 10, MPFR_RNDN); mpfr_init_set_str(r17893, "1.0", 10, MPFR_RNDN); mpfr_init(r17894); mpfr_init(r17895); mpfr_init_set_str(r17896, "0.5", 10, MPFR_RNDN); mpfr_init(r17897); mpfr_init(r17898); mpfr_init(r17899); mpfr_init(r17900); mpfr_init_set_str(r17901, "338.26018406094255", 10, MPFR_RNDN); mpfr_init(r17902); mpfr_init(r17903); mpfr_init(r17904); mpfr_init(r17905); mpfr_init(r17906); mpfr_init(r17907); mpfr_init(r17908); mpfr_init_set_str(r17909, "676.5203681218851", 10, MPFR_RNDN); mpfr_init(r17910); mpfr_init(r17911); mpfr_init(r17912); mpfr_init(r17913); mpfr_init(r17914); mpfr_init(r17915); mpfr_init(r17916); mpfr_init(r17917); mpfr_init(r17918); mpfr_init(r17919); mpfr_init(r17920); mpfr_init_set_str(r17921, "1656.8104518737205", 10, MPFR_RNDN); mpfr_init(r17922); mpfr_init(r17923); mpfr_init(r17924); mpfr_init(r17925); mpfr_init(r17926); mpfr_init(r17927); mpfr_init(r17928); mpfr_init(r17929); mpfr_init(r17930); } double f_fm(double z) { ; mpfr_set_d(r17883, z, MPFR_RNDN); ; mpfr_sqrt(r17885, r17884, MPFR_RNDN); mpfr_mul(r17886, r17883, r17885, MPFR_RNDN); ; mpfr_exp(r17888, r17887, MPFR_RNDN); mpfr_div(r17889, r17886, r17888, MPFR_RNDN); mpfr_const_pi(r17890, MPFR_RNDN); mpfr_sqrt(r17891, r17890, MPFR_RNDN); ; ; mpfr_pow(r17894, r17887, r17893, MPFR_RNDN); mpfr_div(r17895, r17892, r17894, MPFR_RNDN); ; mpfr_pow(r17897, r17895, r17896, MPFR_RNDN); mpfr_mul(r17898, r17891, r17897, MPFR_RNDN); mpfr_mul(r17899, r17889, r17898, MPFR_RNDN); mpfr_mul(r17900, r17882, r17899, MPFR_RNDN); ; mpfr_log(r17902, r17887, MPFR_RNDN); mpfr_sqr(r17903, r17902, MPFR_RNDN); mpfr_mul(r17904, r17885, r17903, MPFR_RNDN); mpfr_mul(r17905, r17883, r17904, MPFR_RNDN); mpfr_div(r17906, r17905, r17888, MPFR_RNDN); mpfr_mul(r17907, r17906, r17898, MPFR_RNDN); mpfr_mul(r17908, r17901, r17907, MPFR_RNDN); ; mpfr_mul(r17910, r17888, r17883, MPFR_RNDN); mpfr_div(r17911, r17885, r17910, MPFR_RNDN); mpfr_mul(r17912, r17911, r17898, MPFR_RNDN); mpfr_mul(r17913, r17909, r17912, MPFR_RNDN); mpfr_mul(r17914, r17885, r17902, MPFR_RNDN); mpfr_div(r17915, r17914, r17888, MPFR_RNDN); mpfr_mul(r17916, r17915, r17898, MPFR_RNDN); mpfr_mul(r17917, r17909, r17916, MPFR_RNDN); mpfr_add(r17918, r17913, r17917, MPFR_RNDN); mpfr_add(r17919, r17908, r17918, MPFR_RNDN); mpfr_add(r17920, r17900, r17919, MPFR_RNDN); ; mpfr_div(r17922, r17885, r17888, MPFR_RNDN); mpfr_mul(r17923, r17922, r17898, MPFR_RNDN); mpfr_mul(r17924, r17921, r17923, MPFR_RNDN); mpfr_mul(r17925, r17883, r17914, MPFR_RNDN); mpfr_div(r17926, r17925, r17888, MPFR_RNDN); mpfr_mul(r17927, r17926, r17898, MPFR_RNDN); mpfr_mul(r17928, r17921, r17927, MPFR_RNDN); mpfr_add(r17929, r17924, r17928, MPFR_RNDN); mpfr_sub(r17930, r17920, r17929, MPFR_RNDN); return mpfr_get_d(r17930, MPFR_RNDN); } static mpfr_t r17931, r17932, r17933, r17934, r17935, r17936, r17937, r17938, r17939, r17940, r17941, r17942, r17943, r17944, r17945, r17946, r17947, r17948, r17949, r17950, r17951, r17952, r17953, r17954, r17955, r17956, r17957, r17958, r17959, r17960, r17961, r17962, r17963, r17964, r17965, r17966, r17967, r17968, r17969, r17970, r17971, r17972, r17973, r17974, r17975, r17976, r17977, r17978, r17979; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init_set_str(r17931, "2585.1948787825354", 10, MPFR_RNDN); mpfr_init(r17932); mpfr_init_set_str(r17933, "2", 10, MPFR_RNDN); mpfr_init(r17934); mpfr_init(r17935); mpfr_init_set_str(r17936, "6.5", 10, MPFR_RNDN); mpfr_init(r17937); mpfr_init(r17938); mpfr_init(r17939); mpfr_init(r17940); mpfr_init_set_str(r17941, "1", 10, MPFR_RNDN); mpfr_init_set_str(r17942, "1.0", 10, MPFR_RNDN); mpfr_init(r17943); mpfr_init(r17944); mpfr_init_set_str(r17945, "0.5", 10, MPFR_RNDN); mpfr_init(r17946); mpfr_init(r17947); mpfr_init(r17948); mpfr_init(r17949); mpfr_init_set_str(r17950, "338.26018406094255", 10, MPFR_RNDN); mpfr_init(r17951); mpfr_init(r17952); mpfr_init(r17953); mpfr_init(r17954); mpfr_init(r17955); mpfr_init(r17956); mpfr_init(r17957); mpfr_init_set_str(r17958, "676.5203681218851", 10, MPFR_RNDN); mpfr_init(r17959); mpfr_init(r17960); mpfr_init(r17961); mpfr_init(r17962); mpfr_init(r17963); mpfr_init(r17964); mpfr_init(r17965); mpfr_init(r17966); mpfr_init(r17967); mpfr_init(r17968); mpfr_init(r17969); mpfr_init_set_str(r17970, "1656.8104518737205", 10, MPFR_RNDN); mpfr_init(r17971); mpfr_init(r17972); mpfr_init(r17973); mpfr_init(r17974); mpfr_init(r17975); mpfr_init(r17976); mpfr_init(r17977); mpfr_init(r17978); mpfr_init(r17979); } double f_dm(double z) { ; mpfr_set_d(r17932, z, MPFR_RNDN); ; mpfr_sqrt(r17934, r17933, MPFR_RNDN); mpfr_mul(r17935, r17932, r17934, MPFR_RNDN); ; mpfr_exp(r17937, r17936, MPFR_RNDN); mpfr_div(r17938, r17935, r17937, MPFR_RNDN); mpfr_const_pi(r17939, MPFR_RNDN); mpfr_sqrt(r17940, r17939, MPFR_RNDN); ; ; mpfr_pow(r17943, r17936, r17942, MPFR_RNDN); mpfr_div(r17944, r17941, r17943, MPFR_RNDN); ; mpfr_pow(r17946, r17944, r17945, MPFR_RNDN); mpfr_mul(r17947, r17940, r17946, MPFR_RNDN); mpfr_mul(r17948, r17938, r17947, MPFR_RNDN); mpfr_mul(r17949, r17931, r17948, MPFR_RNDN); ; mpfr_log(r17951, r17936, MPFR_RNDN); mpfr_sqr(r17952, r17951, MPFR_RNDN); mpfr_mul(r17953, r17934, r17952, MPFR_RNDN); mpfr_mul(r17954, r17932, r17953, MPFR_RNDN); mpfr_div(r17955, r17954, r17937, MPFR_RNDN); mpfr_mul(r17956, r17955, r17947, MPFR_RNDN); mpfr_mul(r17957, r17950, r17956, MPFR_RNDN); ; mpfr_mul(r17959, r17937, r17932, MPFR_RNDN); mpfr_div(r17960, r17934, r17959, MPFR_RNDN); mpfr_mul(r17961, r17960, r17947, MPFR_RNDN); mpfr_mul(r17962, r17958, r17961, MPFR_RNDN); mpfr_mul(r17963, r17934, r17951, MPFR_RNDN); mpfr_div(r17964, r17963, r17937, MPFR_RNDN); mpfr_mul(r17965, r17964, r17947, MPFR_RNDN); mpfr_mul(r17966, r17958, r17965, MPFR_RNDN); mpfr_add(r17967, r17962, r17966, MPFR_RNDN); mpfr_add(r17968, r17957, r17967, MPFR_RNDN); mpfr_add(r17969, r17949, r17968, MPFR_RNDN); ; mpfr_div(r17971, r17934, r17937, MPFR_RNDN); mpfr_mul(r17972, r17971, r17947, MPFR_RNDN); mpfr_mul(r17973, r17970, r17972, MPFR_RNDN); mpfr_mul(r17974, r17932, r17963, MPFR_RNDN); mpfr_div(r17975, r17974, r17937, MPFR_RNDN); mpfr_mul(r17976, r17975, r17947, MPFR_RNDN); mpfr_mul(r17977, r17970, r17976, MPFR_RNDN); mpfr_add(r17978, r17973, r17977, MPFR_RNDN); mpfr_sub(r17979, r17969, r17978, MPFR_RNDN); return mpfr_get_d(r17979, MPFR_RNDN); }