#include #include #include #include #include char *name = "Octave 3.8, jcobi/4"; double f_if(float alpha, float beta, float i) { float r16497 = i; float r16498 = alpha; float r16499 = beta; float r16500 = r16498 + r16499; float r16501 = r16500 + r16497; float r16502 = r16497 * r16501; float r16503 = r16499 * r16498; float r16504 = r16503 + r16502; float r16505 = r16502 * r16504; float r16506 = 2.0f; float r16507 = r16506 * r16497; float r16508 = r16500 + r16507; float r16509 = r16508 * r16508; float r16510 = r16505 / r16509; float r16511 = 1.0f; float r16512 = r16509 - r16511; float r16513 = r16510 / r16512; return r16513; } double f_id(double alpha, double beta, double i) { double r16514 = i; double r16515 = alpha; double r16516 = beta; double r16517 = r16515 + r16516; double r16518 = r16517 + r16514; double r16519 = r16514 * r16518; double r16520 = r16516 * r16515; double r16521 = r16520 + r16519; double r16522 = r16519 * r16521; double r16523 = 2.0; double r16524 = r16523 * r16514; double r16525 = r16517 + r16524; double r16526 = r16525 * r16525; double r16527 = r16522 / r16526; double r16528 = 1.0; double r16529 = r16526 - r16528; double r16530 = r16527 / r16529; return r16530; } double f_of(float alpha, float beta, float i) { float r16531 = alpha; float r16532 = 2.069742248392879e+108f; bool r16533 = r16531 <= r16532; float r16534 = beta; float r16535 = r16534 + r16531; float r16536 = i; float r16537 = r16535 + r16536; float r16538 = 2.0f; float r16539 = fma(r16536, r16538, r16531); float r16540 = r16534 + r16539; float r16541 = r16537 / r16540; float r16542 = r16531 * r16534; float r16543 = fma(r16536, r16537, r16542); float r16544 = r16541 * r16543; float r16545 = r16536 / r16540; float r16546 = r16544 * r16545; float r16547 = sqrt(r16546); float r16548 = r16547 * r16547; float r16549 = r16540 * r16540; float r16550 = 1.0f; float r16551 = r16549 - r16550; float r16552 = r16548 / r16551; float r16553 = -1.0f; float r16554 = r16553 / r16536; float r16555 = 1.0f; float r16556 = r16555 / r16534; float r16557 = r16555 / r16536; float r16558 = r16555 / r16531; float r16559 = r16557 + r16558; float r16560 = r16556 + r16559; float r16561 = -r16560; float r16562 = r16555 / r16542; float r16563 = fma(r16554, r16561, r16562); float r16564 = r16553 / r16531; float r16565 = fma(r16554, r16538, r16564); float r16566 = r16565 - r16556; float r16567 = r16566 * r16566; float r16568 = r16563 / r16567; float r16569 = r16560 / r16536; float r16570 = r16556 / r16534; float r16571 = fma(r16565, r16565, r16570); float r16572 = r16565 / r16534; float r16573 = fma(r16572, r16538, r16550); float r16574 = r16571 - r16573; float r16575 = r16569 / r16574; float r16576 = r16568 * r16575; float r16577 = r16533 ? r16552 : r16576; return r16577; } double f_od(double alpha, double beta, double i) { double r16578 = alpha; double r16579 = 2.069742248392879e+108; bool r16580 = r16578 <= r16579; double r16581 = beta; double r16582 = r16581 + r16578; double r16583 = i; double r16584 = r16582 + r16583; double r16585 = 2.0; double r16586 = fma(r16583, r16585, r16578); double r16587 = r16581 + r16586; double r16588 = r16584 / r16587; double r16589 = r16578 * r16581; double r16590 = fma(r16583, r16584, r16589); double r16591 = r16588 * r16590; double r16592 = r16583 / r16587; double r16593 = r16591 * r16592; double r16594 = sqrt(r16593); double r16595 = r16594 * r16594; double r16596 = r16587 * r16587; double r16597 = 1.0; double r16598 = r16596 - r16597; double r16599 = r16595 / r16598; double r16600 = -1.0; double r16601 = r16600 / r16583; double r16602 = 1.0; double r16603 = r16602 / r16581; double r16604 = r16602 / r16583; double r16605 = r16602 / r16578; double r16606 = r16604 + r16605; double r16607 = r16603 + r16606; double r16608 = -r16607; double r16609 = r16602 / r16589; double r16610 = fma(r16601, r16608, r16609); double r16611 = r16600 / r16578; double r16612 = fma(r16601, r16585, r16611); double r16613 = r16612 - r16603; double r16614 = r16613 * r16613; double r16615 = r16610 / r16614; double r16616 = r16607 / r16583; double r16617 = r16603 / r16581; double r16618 = fma(r16612, r16612, r16617); double r16619 = r16612 / r16581; double r16620 = fma(r16619, r16585, r16597); double r16621 = r16618 - r16620; double r16622 = r16616 / r16621; double r16623 = r16615 * r16622; double r16624 = r16580 ? r16599 : r16623; return r16624; } 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 r16625, r16626, r16627, r16628, r16629, r16630, r16631, r16632, r16633, r16634, r16635, r16636, r16637, r16638, r16639, r16640, r16641; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r16625); mpfr_init(r16626); mpfr_init(r16627); mpfr_init(r16628); mpfr_init(r16629); mpfr_init(r16630); mpfr_init(r16631); mpfr_init(r16632); mpfr_init(r16633); mpfr_init_set_str(r16634, "2", 10, MPFR_RNDN); mpfr_init(r16635); mpfr_init(r16636); mpfr_init(r16637); mpfr_init(r16638); mpfr_init_set_str(r16639, "1.0", 10, MPFR_RNDN); mpfr_init(r16640); mpfr_init(r16641); } double f_im(double alpha, double beta, double i) { mpfr_set_d(r16625, i, MPFR_RNDN); mpfr_set_d(r16626, alpha, MPFR_RNDN); mpfr_set_d(r16627, beta, MPFR_RNDN); mpfr_add(r16628, r16626, r16627, MPFR_RNDN); mpfr_add(r16629, r16628, r16625, MPFR_RNDN); mpfr_mul(r16630, r16625, r16629, MPFR_RNDN); mpfr_mul(r16631, r16627, r16626, MPFR_RNDN); mpfr_add(r16632, r16631, r16630, MPFR_RNDN); mpfr_mul(r16633, r16630, r16632, MPFR_RNDN); ; mpfr_mul(r16635, r16634, r16625, MPFR_RNDN); mpfr_add(r16636, r16628, r16635, MPFR_RNDN); mpfr_mul(r16637, r16636, r16636, MPFR_RNDN); mpfr_div(r16638, r16633, r16637, MPFR_RNDN); ; mpfr_sub(r16640, r16637, r16639, MPFR_RNDN); mpfr_div(r16641, r16638, r16640, MPFR_RNDN); return mpfr_get_d(r16641, MPFR_RNDN); } static mpfr_t r16642, r16643, r16644, r16645, r16646, r16647, r16648, r16649, r16650, r16651, r16652, r16653, r16654, r16655, r16656, r16657, r16658, r16659, r16660, r16661, r16662, r16663, r16664, r16665, r16666, r16667, r16668, r16669, r16670, r16671, r16672, r16673, r16674, r16675, r16676, r16677, r16678, r16679, r16680, r16681, r16682, r16683, r16684, r16685, r16686, r16687, r16688; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init(r16642); mpfr_init_set_str(r16643, "2.069742248392879e+108", 10, MPFR_RNDN); mpfr_init(r16644); mpfr_init(r16645); mpfr_init(r16646); mpfr_init(r16647); mpfr_init(r16648); mpfr_init_set_str(r16649, "2", 10, MPFR_RNDN); mpfr_init(r16650); mpfr_init(r16651); mpfr_init(r16652); mpfr_init(r16653); mpfr_init(r16654); mpfr_init(r16655); mpfr_init(r16656); mpfr_init(r16657); mpfr_init(r16658); mpfr_init(r16659); mpfr_init(r16660); mpfr_init_set_str(r16661, "1.0", 10, MPFR_RNDN); mpfr_init(r16662); mpfr_init(r16663); mpfr_init_set_str(r16664, "-1", 10, MPFR_RNDN); mpfr_init(r16665); mpfr_init_set_str(r16666, "1", 10, MPFR_RNDN); mpfr_init(r16667); mpfr_init(r16668); mpfr_init(r16669); mpfr_init(r16670); mpfr_init(r16671); mpfr_init(r16672); mpfr_init(r16673); mpfr_init(r16674); mpfr_init(r16675); mpfr_init(r16676); mpfr_init(r16677); mpfr_init(r16678); mpfr_init(r16679); mpfr_init(r16680); mpfr_init(r16681); mpfr_init(r16682); mpfr_init(r16683); mpfr_init(r16684); mpfr_init(r16685); mpfr_init(r16686); mpfr_init(r16687); mpfr_init(r16688); } double f_fm(double alpha, double beta, double i) { mpfr_set_d(r16642, alpha, MPFR_RNDN); ; mpfr_set_si(r16644, mpfr_cmp(r16642, r16643) <= 0, MPFR_RNDN); mpfr_set_d(r16645, beta, MPFR_RNDN); mpfr_add(r16646, r16645, r16642, MPFR_RNDN); mpfr_set_d(r16647, i, MPFR_RNDN); mpfr_add(r16648, r16646, r16647, MPFR_RNDN); ; mpfr_fma(r16650, r16647, r16649, r16642, MPFR_RNDN); mpfr_add(r16651, r16645, r16650, MPFR_RNDN); mpfr_div(r16652, r16648, r16651, MPFR_RNDN); mpfr_mul(r16653, r16642, r16645, MPFR_RNDN); mpfr_fma(r16654, r16647, r16648, r16653, MPFR_RNDN); mpfr_mul(r16655, r16652, r16654, MPFR_RNDN); mpfr_div(r16656, r16647, r16651, MPFR_RNDN); mpfr_mul(r16657, r16655, r16656, MPFR_RNDN); mpfr_sqrt(r16658, r16657, MPFR_RNDN); mpfr_sqr(r16659, r16658, MPFR_RNDN); mpfr_sqr(r16660, r16651, MPFR_RNDN); ; mpfr_sub(r16662, r16660, r16661, MPFR_RNDN); mpfr_div(r16663, r16659, r16662, MPFR_RNDN); ; mpfr_div(r16665, r16664, r16647, MPFR_RNDN); ; mpfr_div(r16667, r16666, r16645, MPFR_RNDN); mpfr_div(r16668, r16666, r16647, MPFR_RNDN); mpfr_div(r16669, r16666, r16642, MPFR_RNDN); mpfr_add(r16670, r16668, r16669, MPFR_RNDN); mpfr_add(r16671, r16667, r16670, MPFR_RNDN); mpfr_neg(r16672, r16671, MPFR_RNDN); mpfr_div(r16673, r16666, r16653, MPFR_RNDN); mpfr_fma(r16674, r16665, r16672, r16673, MPFR_RNDN); mpfr_div(r16675, r16664, r16642, MPFR_RNDN); mpfr_fma(r16676, r16665, r16649, r16675, MPFR_RNDN); mpfr_sub(r16677, r16676, r16667, MPFR_RNDN); mpfr_mul(r16678, r16677, r16677, MPFR_RNDN); mpfr_div(r16679, r16674, r16678, MPFR_RNDN); mpfr_div(r16680, r16671, r16647, MPFR_RNDN); mpfr_div(r16681, r16667, r16645, MPFR_RNDN); mpfr_fma(r16682, r16676, r16676, r16681, MPFR_RNDN); mpfr_div(r16683, r16676, r16645, MPFR_RNDN); mpfr_fma(r16684, r16683, r16649, r16661, MPFR_RNDN); mpfr_sub(r16685, r16682, r16684, MPFR_RNDN); mpfr_div(r16686, r16680, r16685, MPFR_RNDN); mpfr_mul(r16687, r16679, r16686, MPFR_RNDN); if (mpfr_get_si(r16644, MPFR_RNDN)) { mpfr_set(r16688, r16663, MPFR_RNDN); } else { mpfr_set(r16688, r16687, MPFR_RNDN); }; return mpfr_get_d(r16688, MPFR_RNDN); } static mpfr_t r16689, r16690, r16691, r16692, r16693, r16694, r16695, r16696, r16697, r16698, r16699, r16700, r16701, r16702, r16703, r16704, r16705, r16706, r16707, r16708, r16709, r16710, r16711, r16712, r16713, r16714, r16715, r16716, r16717, r16718, r16719, r16720, r16721, r16722, r16723, r16724, r16725, r16726, r16727, r16728, r16729, r16730, r16731, r16732, r16733, r16734, r16735; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init(r16689); mpfr_init_set_str(r16690, "2.069742248392879e+108", 10, MPFR_RNDN); mpfr_init(r16691); mpfr_init(r16692); mpfr_init(r16693); mpfr_init(r16694); mpfr_init(r16695); mpfr_init_set_str(r16696, "2", 10, MPFR_RNDN); mpfr_init(r16697); mpfr_init(r16698); mpfr_init(r16699); mpfr_init(r16700); mpfr_init(r16701); mpfr_init(r16702); mpfr_init(r16703); mpfr_init(r16704); mpfr_init(r16705); mpfr_init(r16706); mpfr_init(r16707); mpfr_init_set_str(r16708, "1.0", 10, MPFR_RNDN); mpfr_init(r16709); mpfr_init(r16710); mpfr_init_set_str(r16711, "-1", 10, MPFR_RNDN); mpfr_init(r16712); mpfr_init_set_str(r16713, "1", 10, MPFR_RNDN); mpfr_init(r16714); mpfr_init(r16715); mpfr_init(r16716); mpfr_init(r16717); mpfr_init(r16718); mpfr_init(r16719); mpfr_init(r16720); mpfr_init(r16721); mpfr_init(r16722); mpfr_init(r16723); mpfr_init(r16724); mpfr_init(r16725); mpfr_init(r16726); mpfr_init(r16727); mpfr_init(r16728); mpfr_init(r16729); mpfr_init(r16730); mpfr_init(r16731); mpfr_init(r16732); mpfr_init(r16733); mpfr_init(r16734); mpfr_init(r16735); } double f_dm(double alpha, double beta, double i) { mpfr_set_d(r16689, alpha, MPFR_RNDN); ; mpfr_set_si(r16691, mpfr_cmp(r16689, r16690) <= 0, MPFR_RNDN); mpfr_set_d(r16692, beta, MPFR_RNDN); mpfr_add(r16693, r16692, r16689, MPFR_RNDN); mpfr_set_d(r16694, i, MPFR_RNDN); mpfr_add(r16695, r16693, r16694, MPFR_RNDN); ; mpfr_fma(r16697, r16694, r16696, r16689, MPFR_RNDN); mpfr_add(r16698, r16692, r16697, MPFR_RNDN); mpfr_div(r16699, r16695, r16698, MPFR_RNDN); mpfr_mul(r16700, r16689, r16692, MPFR_RNDN); mpfr_fma(r16701, r16694, r16695, r16700, MPFR_RNDN); mpfr_mul(r16702, r16699, r16701, MPFR_RNDN); mpfr_div(r16703, r16694, r16698, MPFR_RNDN); mpfr_mul(r16704, r16702, r16703, MPFR_RNDN); mpfr_sqrt(r16705, r16704, MPFR_RNDN); mpfr_sqr(r16706, r16705, MPFR_RNDN); mpfr_sqr(r16707, r16698, MPFR_RNDN); ; mpfr_sub(r16709, r16707, r16708, MPFR_RNDN); mpfr_div(r16710, r16706, r16709, MPFR_RNDN); ; mpfr_div(r16712, r16711, r16694, MPFR_RNDN); ; mpfr_div(r16714, r16713, r16692, MPFR_RNDN); mpfr_div(r16715, r16713, r16694, MPFR_RNDN); mpfr_div(r16716, r16713, r16689, MPFR_RNDN); mpfr_add(r16717, r16715, r16716, MPFR_RNDN); mpfr_add(r16718, r16714, r16717, MPFR_RNDN); mpfr_neg(r16719, r16718, MPFR_RNDN); mpfr_div(r16720, r16713, r16700, MPFR_RNDN); mpfr_fma(r16721, r16712, r16719, r16720, MPFR_RNDN); mpfr_div(r16722, r16711, r16689, MPFR_RNDN); mpfr_fma(r16723, r16712, r16696, r16722, MPFR_RNDN); mpfr_sub(r16724, r16723, r16714, MPFR_RNDN); mpfr_mul(r16725, r16724, r16724, MPFR_RNDN); mpfr_div(r16726, r16721, r16725, MPFR_RNDN); mpfr_div(r16727, r16718, r16694, MPFR_RNDN); mpfr_div(r16728, r16714, r16692, MPFR_RNDN); mpfr_fma(r16729, r16723, r16723, r16728, MPFR_RNDN); mpfr_div(r16730, r16723, r16692, MPFR_RNDN); mpfr_fma(r16731, r16730, r16696, r16708, MPFR_RNDN); mpfr_sub(r16732, r16729, r16731, MPFR_RNDN); mpfr_div(r16733, r16727, r16732, MPFR_RNDN); mpfr_mul(r16734, r16726, r16733, MPFR_RNDN); if (mpfr_get_si(r16691, MPFR_RNDN)) { mpfr_set(r16735, r16710, MPFR_RNDN); } else { mpfr_set(r16735, r16734, MPFR_RNDN); }; return mpfr_get_d(r16735, MPFR_RNDN); }