#include #include #include #include #include char *name = "Octave 3.8, jcobi/4"; double f_if(float alpha, float beta, float i) { float r16637 = i; float r16638 = alpha; float r16639 = beta; float r16640 = r16638 + r16639; float r16641 = r16640 + r16637; float r16642 = r16637 * r16641; float r16643 = r16639 * r16638; float r16644 = r16643 + r16642; float r16645 = r16642 * r16644; float r16646 = 2.0f; float r16647 = r16646 * r16637; float r16648 = r16640 + r16647; float r16649 = r16648 * r16648; float r16650 = r16645 / r16649; float r16651 = 1.0f; float r16652 = r16649 - r16651; float r16653 = r16650 / r16652; return r16653; } double f_id(double alpha, double beta, double i) { double r16654 = i; double r16655 = alpha; double r16656 = beta; double r16657 = r16655 + r16656; double r16658 = r16657 + r16654; double r16659 = r16654 * r16658; double r16660 = r16656 * r16655; double r16661 = r16660 + r16659; double r16662 = r16659 * r16661; double r16663 = 2.0; double r16664 = r16663 * r16654; double r16665 = r16657 + r16664; double r16666 = r16665 * r16665; double r16667 = r16662 / r16666; double r16668 = 1.0; double r16669 = r16666 - r16668; double r16670 = r16667 / r16669; return r16670; } double f_of(float alpha, float beta, float i) { float r16671 = alpha; float r16672 = 7.711586793570146e+139f; bool r16673 = r16671 <= r16672; float r16674 = i; float r16675 = 2.0f; float r16676 = fma(r16674, r16675, r16671); float r16677 = beta; float r16678 = r16676 + r16677; float r16679 = r16674 / r16678; float r16680 = r16671 + r16674; float r16681 = r16680 + r16677; float r16682 = r16681 / r16678; float r16683 = r16679 * r16682; float r16684 = fma(r16677, r16675, r16676); float r16685 = r16677 * r16677; float r16686 = 1.0f; float r16687 = r16685 - r16686; float r16688 = fma(r16676, r16684, r16687); float r16689 = r16671 * r16677; float r16690 = fma(r16674, r16681, r16689); float r16691 = r16688 / r16690; float r16692 = sqrt(r16691); float r16693 = r16692 * r16692; float r16694 = r16683 / r16693; float r16695 = 1.0f; float r16696 = r16695 / r16674; float r16697 = r16695 / r16671; float r16698 = fma(r16696, r16675, r16697); float r16699 = r16695 / r16677; float r16700 = fma(r16699, r16675, r16698); float r16701 = r16699 / r16677; float r16702 = r16701 - r16686; float r16703 = fma(r16698, r16700, r16702); float r16704 = r16674 / r16703; float r16705 = r16676 * r16676; float r16706 = r16674 / r16705; float r16707 = r16704 * r16706; float r16708 = r16696 + r16697; float r16709 = r16708 + r16699; float r16710 = r16699 / r16671; float r16711 = fma(r16696, r16709, r16710); float r16712 = r16677 / r16703; float r16713 = r16705 / r16674; float r16714 = r16711 / r16713; float r16715 = r16671 / r16703; float r16716 = r16715 * r16714; float r16717 = fma(r16712, r16714, r16716); float r16718 = fma(r16707, r16711, r16717); float r16719 = r16673 ? r16694 : r16718; return r16719; } double f_od(double alpha, double beta, double i) { double r16720 = alpha; double r16721 = 7.711586793570146e+139; bool r16722 = r16720 <= r16721; double r16723 = i; double r16724 = 2.0; double r16725 = fma(r16723, r16724, r16720); double r16726 = beta; double r16727 = r16725 + r16726; double r16728 = r16723 / r16727; double r16729 = r16720 + r16723; double r16730 = r16729 + r16726; double r16731 = r16730 / r16727; double r16732 = r16728 * r16731; double r16733 = fma(r16726, r16724, r16725); double r16734 = r16726 * r16726; double r16735 = 1.0; double r16736 = r16734 - r16735; double r16737 = fma(r16725, r16733, r16736); double r16738 = r16720 * r16726; double r16739 = fma(r16723, r16730, r16738); double r16740 = r16737 / r16739; double r16741 = sqrt(r16740); double r16742 = r16741 * r16741; double r16743 = r16732 / r16742; double r16744 = 1.0; double r16745 = r16744 / r16723; double r16746 = r16744 / r16720; double r16747 = fma(r16745, r16724, r16746); double r16748 = r16744 / r16726; double r16749 = fma(r16748, r16724, r16747); double r16750 = r16748 / r16726; double r16751 = r16750 - r16735; double r16752 = fma(r16747, r16749, r16751); double r16753 = r16723 / r16752; double r16754 = r16725 * r16725; double r16755 = r16723 / r16754; double r16756 = r16753 * r16755; double r16757 = r16745 + r16746; double r16758 = r16757 + r16748; double r16759 = r16748 / r16720; double r16760 = fma(r16745, r16758, r16759); double r16761 = r16726 / r16752; double r16762 = r16754 / r16723; double r16763 = r16760 / r16762; double r16764 = r16720 / r16752; double r16765 = r16764 * r16763; double r16766 = fma(r16761, r16763, r16765); double r16767 = fma(r16756, r16760, r16766); double r16768 = r16722 ? r16743 : r16767; return r16768; } 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 r16769, r16770, r16771, r16772, r16773, r16774, r16775, r16776, r16777, r16778, r16779, r16780, r16781, r16782, r16783, r16784, r16785; void setup_mpfr_f_im() { mpfr_set_default_prec(144); 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_set_str(r16778, "2", 10, MPFR_RNDN); mpfr_init(r16779); mpfr_init(r16780); mpfr_init(r16781); mpfr_init(r16782); mpfr_init_set_str(r16783, "1.0", 10, MPFR_RNDN); mpfr_init(r16784); mpfr_init(r16785); } double f_im(double alpha, double beta, double i) { mpfr_set_d(r16769, i, MPFR_RNDN); mpfr_set_d(r16770, alpha, MPFR_RNDN); mpfr_set_d(r16771, beta, MPFR_RNDN); mpfr_add(r16772, r16770, r16771, MPFR_RNDN); mpfr_add(r16773, r16772, r16769, MPFR_RNDN); mpfr_mul(r16774, r16769, r16773, MPFR_RNDN); mpfr_mul(r16775, r16771, r16770, MPFR_RNDN); mpfr_add(r16776, r16775, r16774, MPFR_RNDN); mpfr_mul(r16777, r16774, r16776, MPFR_RNDN); ; mpfr_mul(r16779, r16778, r16769, MPFR_RNDN); mpfr_add(r16780, r16772, r16779, MPFR_RNDN); mpfr_mul(r16781, r16780, r16780, MPFR_RNDN); mpfr_div(r16782, r16777, r16781, MPFR_RNDN); ; mpfr_sub(r16784, r16781, r16783, MPFR_RNDN); mpfr_div(r16785, r16782, r16784, MPFR_RNDN); return mpfr_get_d(r16785, MPFR_RNDN); } static mpfr_t r16786, r16787, r16788, r16789, r16790, r16791, r16792, r16793, r16794, r16795, r16796, r16797, r16798, 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; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init(r16786); mpfr_init_set_str(r16787, "7.711586793570146e+139", 10, MPFR_RNDN); mpfr_init(r16788); mpfr_init(r16789); mpfr_init_set_str(r16790, "2", 10, MPFR_RNDN); mpfr_init(r16791); mpfr_init(r16792); mpfr_init(r16793); mpfr_init(r16794); mpfr_init(r16795); mpfr_init(r16796); mpfr_init(r16797); mpfr_init(r16798); mpfr_init(r16799); mpfr_init(r16800); mpfr_init_set_str(r16801, "1.0", 10, MPFR_RNDN); mpfr_init(r16802); mpfr_init(r16803); mpfr_init(r16804); mpfr_init(r16805); mpfr_init(r16806); mpfr_init(r16807); mpfr_init(r16808); mpfr_init(r16809); mpfr_init_set_str(r16810, "1", 10, MPFR_RNDN); 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(r16825); 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); } double f_fm(double alpha, double beta, double i) { mpfr_set_d(r16786, alpha, MPFR_RNDN); ; mpfr_set_si(r16788, mpfr_cmp(r16786, r16787) <= 0, MPFR_RNDN); mpfr_set_d(r16789, i, MPFR_RNDN); ; mpfr_fma(r16791, r16789, r16790, r16786, MPFR_RNDN); mpfr_set_d(r16792, beta, MPFR_RNDN); mpfr_add(r16793, r16791, r16792, MPFR_RNDN); mpfr_div(r16794, r16789, r16793, MPFR_RNDN); mpfr_add(r16795, r16786, r16789, MPFR_RNDN); mpfr_add(r16796, r16795, r16792, MPFR_RNDN); mpfr_div(r16797, r16796, r16793, MPFR_RNDN); mpfr_mul(r16798, r16794, r16797, MPFR_RNDN); mpfr_fma(r16799, r16792, r16790, r16791, MPFR_RNDN); mpfr_sqr(r16800, r16792, MPFR_RNDN); ; mpfr_sub(r16802, r16800, r16801, MPFR_RNDN); mpfr_fma(r16803, r16791, r16799, r16802, MPFR_RNDN); mpfr_mul(r16804, r16786, r16792, MPFR_RNDN); mpfr_fma(r16805, r16789, r16796, r16804, MPFR_RNDN); mpfr_div(r16806, r16803, r16805, MPFR_RNDN); mpfr_sqrt(r16807, r16806, MPFR_RNDN); mpfr_sqr(r16808, r16807, MPFR_RNDN); mpfr_div(r16809, r16798, r16808, MPFR_RNDN); ; mpfr_div(r16811, r16810, r16789, MPFR_RNDN); mpfr_div(r16812, r16810, r16786, MPFR_RNDN); mpfr_fma(r16813, r16811, r16790, r16812, MPFR_RNDN); mpfr_div(r16814, r16810, r16792, MPFR_RNDN); mpfr_fma(r16815, r16814, r16790, r16813, MPFR_RNDN); mpfr_div(r16816, r16814, r16792, MPFR_RNDN); mpfr_sub(r16817, r16816, r16801, MPFR_RNDN); mpfr_fma(r16818, r16813, r16815, r16817, MPFR_RNDN); mpfr_div(r16819, r16789, r16818, MPFR_RNDN); mpfr_sqr(r16820, r16791, MPFR_RNDN); mpfr_div(r16821, r16789, r16820, MPFR_RNDN); mpfr_mul(r16822, r16819, r16821, MPFR_RNDN); mpfr_add(r16823, r16811, r16812, MPFR_RNDN); mpfr_add(r16824, r16823, r16814, MPFR_RNDN); mpfr_div(r16825, r16814, r16786, MPFR_RNDN); mpfr_fma(r16826, r16811, r16824, r16825, MPFR_RNDN); mpfr_div(r16827, r16792, r16818, MPFR_RNDN); mpfr_div(r16828, r16820, r16789, MPFR_RNDN); mpfr_div(r16829, r16826, r16828, MPFR_RNDN); mpfr_div(r16830, r16786, r16818, MPFR_RNDN); mpfr_mul(r16831, r16830, r16829, MPFR_RNDN); mpfr_fma(r16832, r16827, r16829, r16831, MPFR_RNDN); mpfr_fma(r16833, r16822, r16826, r16832, MPFR_RNDN); if (mpfr_get_si(r16788, MPFR_RNDN)) { mpfr_set(r16834, r16809, MPFR_RNDN); } else { mpfr_set(r16834, r16833, MPFR_RNDN); }; return mpfr_get_d(r16834, MPFR_RNDN); } static mpfr_t r16835, r16836, r16837, r16838, r16839, r16840, r16841, r16842, r16843, r16844, r16845, r16846, r16847, r16848, r16849, r16850, r16851, r16852, r16853, r16854, r16855, r16856, 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; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init(r16835); mpfr_init_set_str(r16836, "7.711586793570146e+139", 10, MPFR_RNDN); mpfr_init(r16837); mpfr_init(r16838); mpfr_init_set_str(r16839, "2", 10, MPFR_RNDN); mpfr_init(r16840); 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); mpfr_init_set_str(r16850, "1.0", 10, MPFR_RNDN); mpfr_init(r16851); mpfr_init(r16852); mpfr_init(r16853); mpfr_init(r16854); mpfr_init(r16855); mpfr_init(r16856); mpfr_init(r16857); mpfr_init(r16858); mpfr_init_set_str(r16859, "1", 10, MPFR_RNDN); 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(r16874); 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); } double f_dm(double alpha, double beta, double i) { mpfr_set_d(r16835, alpha, MPFR_RNDN); ; mpfr_set_si(r16837, mpfr_cmp(r16835, r16836) <= 0, MPFR_RNDN); mpfr_set_d(r16838, i, MPFR_RNDN); ; mpfr_fma(r16840, r16838, r16839, r16835, MPFR_RNDN); mpfr_set_d(r16841, beta, MPFR_RNDN); mpfr_add(r16842, r16840, r16841, MPFR_RNDN); mpfr_div(r16843, r16838, r16842, MPFR_RNDN); mpfr_add(r16844, r16835, r16838, MPFR_RNDN); mpfr_add(r16845, r16844, r16841, MPFR_RNDN); mpfr_div(r16846, r16845, r16842, MPFR_RNDN); mpfr_mul(r16847, r16843, r16846, MPFR_RNDN); mpfr_fma(r16848, r16841, r16839, r16840, MPFR_RNDN); mpfr_sqr(r16849, r16841, MPFR_RNDN); ; mpfr_sub(r16851, r16849, r16850, MPFR_RNDN); mpfr_fma(r16852, r16840, r16848, r16851, MPFR_RNDN); mpfr_mul(r16853, r16835, r16841, MPFR_RNDN); mpfr_fma(r16854, r16838, r16845, r16853, MPFR_RNDN); mpfr_div(r16855, r16852, r16854, MPFR_RNDN); mpfr_sqrt(r16856, r16855, MPFR_RNDN); mpfr_sqr(r16857, r16856, MPFR_RNDN); mpfr_div(r16858, r16847, r16857, MPFR_RNDN); ; mpfr_div(r16860, r16859, r16838, MPFR_RNDN); mpfr_div(r16861, r16859, r16835, MPFR_RNDN); mpfr_fma(r16862, r16860, r16839, r16861, MPFR_RNDN); mpfr_div(r16863, r16859, r16841, MPFR_RNDN); mpfr_fma(r16864, r16863, r16839, r16862, MPFR_RNDN); mpfr_div(r16865, r16863, r16841, MPFR_RNDN); mpfr_sub(r16866, r16865, r16850, MPFR_RNDN); mpfr_fma(r16867, r16862, r16864, r16866, MPFR_RNDN); mpfr_div(r16868, r16838, r16867, MPFR_RNDN); mpfr_sqr(r16869, r16840, MPFR_RNDN); mpfr_div(r16870, r16838, r16869, MPFR_RNDN); mpfr_mul(r16871, r16868, r16870, MPFR_RNDN); mpfr_add(r16872, r16860, r16861, MPFR_RNDN); mpfr_add(r16873, r16872, r16863, MPFR_RNDN); mpfr_div(r16874, r16863, r16835, MPFR_RNDN); mpfr_fma(r16875, r16860, r16873, r16874, MPFR_RNDN); mpfr_div(r16876, r16841, r16867, MPFR_RNDN); mpfr_div(r16877, r16869, r16838, MPFR_RNDN); mpfr_div(r16878, r16875, r16877, MPFR_RNDN); mpfr_div(r16879, r16835, r16867, MPFR_RNDN); mpfr_mul(r16880, r16879, r16878, MPFR_RNDN); mpfr_fma(r16881, r16876, r16878, r16880, MPFR_RNDN); mpfr_fma(r16882, r16871, r16875, r16881, MPFR_RNDN); if (mpfr_get_si(r16837, MPFR_RNDN)) { mpfr_set(r16883, r16858, MPFR_RNDN); } else { mpfr_set(r16883, r16882, MPFR_RNDN); }; return mpfr_get_d(r16883, MPFR_RNDN); }