#include #include #include #include #include char *name = "Octave 3.8, jcobi/4"; double f_if(float alpha, float beta, float i) { float r16617 = i; float r16618 = alpha; float r16619 = beta; float r16620 = r16618 + r16619; float r16621 = r16620 + r16617; float r16622 = r16617 * r16621; float r16623 = r16619 * r16618; float r16624 = r16623 + r16622; float r16625 = r16622 * r16624; float r16626 = 2.0f; float r16627 = r16626 * r16617; float r16628 = r16620 + r16627; float r16629 = r16628 * r16628; float r16630 = r16625 / r16629; float r16631 = 1.0f; float r16632 = r16629 - r16631; float r16633 = r16630 / r16632; return r16633; } double f_id(double alpha, double beta, double i) { double r16634 = i; double r16635 = alpha; double r16636 = beta; double r16637 = r16635 + r16636; double r16638 = r16637 + r16634; double r16639 = r16634 * r16638; double r16640 = r16636 * r16635; double r16641 = r16640 + r16639; double r16642 = r16639 * r16641; double r16643 = 2.0; double r16644 = r16643 * r16634; double r16645 = r16637 + r16644; double r16646 = r16645 * r16645; double r16647 = r16642 / r16646; double r16648 = 1.0; double r16649 = r16646 - r16648; double r16650 = r16647 / r16649; return r16650; } double f_of(float alpha, float beta, float i) { float r16651 = alpha; float r16652 = 1.1910052422077304e+176f; bool r16653 = r16651 <= r16652; float r16654 = i; float r16655 = 2.0f; float r16656 = fma(r16654, r16655, r16651); float r16657 = beta; float r16658 = r16656 + r16657; float r16659 = r16654 / r16658; float r16660 = r16651 + r16654; float r16661 = r16660 + r16657; float r16662 = r16661 / r16658; float r16663 = r16659 * r16662; float r16664 = fma(r16657, r16655, r16656); float r16665 = r16657 * r16657; float r16666 = 1.0f; float r16667 = r16665 - r16666; float r16668 = fma(r16656, r16664, r16667); float r16669 = r16651 * r16657; float r16670 = fma(r16654, r16661, r16669); float r16671 = r16668 / r16670; float r16672 = sqrt(r16671); float r16673 = r16672 * r16672; float r16674 = r16663 / r16673; float r16675 = 1.0f; float r16676 = r16675 / r16654; float r16677 = r16675 / r16651; float r16678 = fma(r16676, r16655, r16677); float r16679 = r16675 / r16657; float r16680 = fma(r16679, r16655, r16678); float r16681 = r16675 / r16665; float r16682 = r16681 - r16666; float r16683 = fma(r16678, r16680, r16682); float r16684 = r16677 + r16676; float r16685 = r16679 + r16684; float r16686 = r16657 * r16651; float r16687 = r16675 / r16686; float r16688 = fma(r16676, r16685, r16687); float r16689 = r16683 / r16688; float r16690 = r16663 / r16689; float r16691 = r16653 ? r16674 : r16690; return r16691; } double f_od(double alpha, double beta, double i) { double r16692 = alpha; double r16693 = 1.1910052422077304e+176; bool r16694 = r16692 <= r16693; double r16695 = i; double r16696 = 2.0; double r16697 = fma(r16695, r16696, r16692); double r16698 = beta; double r16699 = r16697 + r16698; double r16700 = r16695 / r16699; double r16701 = r16692 + r16695; double r16702 = r16701 + r16698; double r16703 = r16702 / r16699; double r16704 = r16700 * r16703; double r16705 = fma(r16698, r16696, r16697); double r16706 = r16698 * r16698; double r16707 = 1.0; double r16708 = r16706 - r16707; double r16709 = fma(r16697, r16705, r16708); double r16710 = r16692 * r16698; double r16711 = fma(r16695, r16702, r16710); double r16712 = r16709 / r16711; double r16713 = sqrt(r16712); double r16714 = r16713 * r16713; double r16715 = r16704 / r16714; double r16716 = 1.0; double r16717 = r16716 / r16695; double r16718 = r16716 / r16692; double r16719 = fma(r16717, r16696, r16718); double r16720 = r16716 / r16698; double r16721 = fma(r16720, r16696, r16719); double r16722 = r16716 / r16706; double r16723 = r16722 - r16707; double r16724 = fma(r16719, r16721, r16723); double r16725 = r16718 + r16717; double r16726 = r16720 + r16725; double r16727 = r16698 * r16692; double r16728 = r16716 / r16727; double r16729 = fma(r16717, r16726, r16728); double r16730 = r16724 / r16729; double r16731 = r16704 / r16730; double r16732 = r16694 ? r16715 : r16731; return r16732; } 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 r16733, r16734, r16735, r16736, r16737, r16738, r16739, r16740, r16741, r16742, r16743, r16744, r16745, r16746, r16747, r16748, r16749; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r16733); mpfr_init(r16734); mpfr_init(r16735); mpfr_init(r16736); mpfr_init(r16737); mpfr_init(r16738); mpfr_init(r16739); mpfr_init(r16740); mpfr_init(r16741); mpfr_init_set_str(r16742, "2", 10, MPFR_RNDN); mpfr_init(r16743); mpfr_init(r16744); mpfr_init(r16745); mpfr_init(r16746); mpfr_init_set_str(r16747, "1.0", 10, MPFR_RNDN); mpfr_init(r16748); mpfr_init(r16749); } double f_im(double alpha, double beta, double i) { mpfr_set_d(r16733, i, MPFR_RNDN); mpfr_set_d(r16734, alpha, MPFR_RNDN); mpfr_set_d(r16735, beta, MPFR_RNDN); mpfr_add(r16736, r16734, r16735, MPFR_RNDN); mpfr_add(r16737, r16736, r16733, MPFR_RNDN); mpfr_mul(r16738, r16733, r16737, MPFR_RNDN); mpfr_mul(r16739, r16735, r16734, MPFR_RNDN); mpfr_add(r16740, r16739, r16738, MPFR_RNDN); mpfr_mul(r16741, r16738, r16740, MPFR_RNDN); ; mpfr_mul(r16743, r16742, r16733, MPFR_RNDN); mpfr_add(r16744, r16736, r16743, MPFR_RNDN); mpfr_mul(r16745, r16744, r16744, MPFR_RNDN); mpfr_div(r16746, r16741, r16745, MPFR_RNDN); ; mpfr_sub(r16748, r16745, r16747, MPFR_RNDN); mpfr_div(r16749, r16746, r16748, MPFR_RNDN); return mpfr_get_d(r16749, MPFR_RNDN); } static mpfr_t 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; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init(r16750); mpfr_init_set_str(r16751, "1.1910052422077304e+176", 10, MPFR_RNDN); mpfr_init(r16752); mpfr_init(r16753); mpfr_init_set_str(r16754, "2", 10, MPFR_RNDN); mpfr_init(r16755); mpfr_init(r16756); 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, "1.0", 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_set_str(r16774, "1", 10, MPFR_RNDN); mpfr_init(r16775); mpfr_init(r16776); mpfr_init(r16777); mpfr_init(r16778); mpfr_init(r16779); mpfr_init(r16780); mpfr_init(r16781); mpfr_init(r16782); mpfr_init(r16783); mpfr_init(r16784); mpfr_init(r16785); mpfr_init(r16786); mpfr_init(r16787); mpfr_init(r16788); mpfr_init(r16789); mpfr_init(r16790); } double f_fm(double alpha, double beta, double i) { mpfr_set_d(r16750, alpha, MPFR_RNDN); ; mpfr_set_si(r16752, mpfr_cmp(r16750, r16751) <= 0, MPFR_RNDN); mpfr_set_d(r16753, i, MPFR_RNDN); ; mpfr_fma(r16755, r16753, r16754, r16750, MPFR_RNDN); mpfr_set_d(r16756, beta, MPFR_RNDN); mpfr_add(r16757, r16755, r16756, MPFR_RNDN); mpfr_div(r16758, r16753, r16757, MPFR_RNDN); mpfr_add(r16759, r16750, r16753, MPFR_RNDN); mpfr_add(r16760, r16759, r16756, MPFR_RNDN); mpfr_div(r16761, r16760, r16757, MPFR_RNDN); mpfr_mul(r16762, r16758, r16761, MPFR_RNDN); mpfr_fma(r16763, r16756, r16754, r16755, MPFR_RNDN); mpfr_sqr(r16764, r16756, MPFR_RNDN); ; mpfr_sub(r16766, r16764, r16765, MPFR_RNDN); mpfr_fma(r16767, r16755, r16763, r16766, MPFR_RNDN); mpfr_mul(r16768, r16750, r16756, MPFR_RNDN); mpfr_fma(r16769, r16753, r16760, r16768, MPFR_RNDN); mpfr_div(r16770, r16767, r16769, MPFR_RNDN); mpfr_sqrt(r16771, r16770, MPFR_RNDN); mpfr_sqr(r16772, r16771, MPFR_RNDN); mpfr_div(r16773, r16762, r16772, MPFR_RNDN); ; mpfr_div(r16775, r16774, r16753, MPFR_RNDN); mpfr_div(r16776, r16774, r16750, MPFR_RNDN); mpfr_fma(r16777, r16775, r16754, r16776, MPFR_RNDN); mpfr_div(r16778, r16774, r16756, MPFR_RNDN); mpfr_fma(r16779, r16778, r16754, r16777, MPFR_RNDN); mpfr_div(r16780, r16774, r16764, MPFR_RNDN); mpfr_sub(r16781, r16780, r16765, MPFR_RNDN); mpfr_fma(r16782, r16777, r16779, r16781, MPFR_RNDN); mpfr_add(r16783, r16776, r16775, MPFR_RNDN); mpfr_add(r16784, r16778, r16783, MPFR_RNDN); mpfr_mul(r16785, r16756, r16750, MPFR_RNDN); mpfr_div(r16786, r16774, r16785, MPFR_RNDN); mpfr_fma(r16787, r16775, r16784, r16786, MPFR_RNDN); mpfr_div(r16788, r16782, r16787, MPFR_RNDN); mpfr_div(r16789, r16762, r16788, MPFR_RNDN); if (mpfr_get_si(r16752, MPFR_RNDN)) { mpfr_set(r16790, r16773, MPFR_RNDN); } else { mpfr_set(r16790, r16789, MPFR_RNDN); }; return mpfr_get_d(r16790, MPFR_RNDN); } static mpfr_t 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; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init(r16791); mpfr_init_set_str(r16792, "1.1910052422077304e+176", 10, MPFR_RNDN); mpfr_init(r16793); mpfr_init(r16794); mpfr_init_set_str(r16795, "2", 10, MPFR_RNDN); mpfr_init(r16796); mpfr_init(r16797); mpfr_init(r16798); mpfr_init(r16799); mpfr_init(r16800); mpfr_init(r16801); mpfr_init(r16802); mpfr_init(r16803); mpfr_init(r16804); mpfr_init(r16805); mpfr_init_set_str(r16806, "1.0", 10, MPFR_RNDN); mpfr_init(r16807); mpfr_init(r16808); mpfr_init(r16809); mpfr_init(r16810); mpfr_init(r16811); mpfr_init(r16812); mpfr_init(r16813); mpfr_init(r16814); mpfr_init_set_str(r16815, "1", 10, MPFR_RNDN); 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); } double f_dm(double alpha, double beta, double i) { mpfr_set_d(r16791, alpha, MPFR_RNDN); ; mpfr_set_si(r16793, mpfr_cmp(r16791, r16792) <= 0, MPFR_RNDN); mpfr_set_d(r16794, i, MPFR_RNDN); ; mpfr_fma(r16796, r16794, r16795, r16791, MPFR_RNDN); mpfr_set_d(r16797, beta, MPFR_RNDN); mpfr_add(r16798, r16796, r16797, MPFR_RNDN); mpfr_div(r16799, r16794, r16798, MPFR_RNDN); mpfr_add(r16800, r16791, r16794, MPFR_RNDN); mpfr_add(r16801, r16800, r16797, MPFR_RNDN); mpfr_div(r16802, r16801, r16798, MPFR_RNDN); mpfr_mul(r16803, r16799, r16802, MPFR_RNDN); mpfr_fma(r16804, r16797, r16795, r16796, MPFR_RNDN); mpfr_sqr(r16805, r16797, MPFR_RNDN); ; mpfr_sub(r16807, r16805, r16806, MPFR_RNDN); mpfr_fma(r16808, r16796, r16804, r16807, MPFR_RNDN); mpfr_mul(r16809, r16791, r16797, MPFR_RNDN); mpfr_fma(r16810, r16794, r16801, r16809, MPFR_RNDN); mpfr_div(r16811, r16808, r16810, MPFR_RNDN); mpfr_sqrt(r16812, r16811, MPFR_RNDN); mpfr_sqr(r16813, r16812, MPFR_RNDN); mpfr_div(r16814, r16803, r16813, MPFR_RNDN); ; mpfr_div(r16816, r16815, r16794, MPFR_RNDN); mpfr_div(r16817, r16815, r16791, MPFR_RNDN); mpfr_fma(r16818, r16816, r16795, r16817, MPFR_RNDN); mpfr_div(r16819, r16815, r16797, MPFR_RNDN); mpfr_fma(r16820, r16819, r16795, r16818, MPFR_RNDN); mpfr_div(r16821, r16815, r16805, MPFR_RNDN); mpfr_sub(r16822, r16821, r16806, MPFR_RNDN); mpfr_fma(r16823, r16818, r16820, r16822, MPFR_RNDN); mpfr_add(r16824, r16817, r16816, MPFR_RNDN); mpfr_add(r16825, r16819, r16824, MPFR_RNDN); mpfr_mul(r16826, r16797, r16791, MPFR_RNDN); mpfr_div(r16827, r16815, r16826, MPFR_RNDN); mpfr_fma(r16828, r16816, r16825, r16827, MPFR_RNDN); mpfr_div(r16829, r16823, r16828, MPFR_RNDN); mpfr_div(r16830, r16803, r16829, MPFR_RNDN); if (mpfr_get_si(r16793, MPFR_RNDN)) { mpfr_set(r16831, r16814, MPFR_RNDN); } else { mpfr_set(r16831, r16830, MPFR_RNDN); }; return mpfr_get_d(r16831, MPFR_RNDN); }