Generated by Cython 0.12.1 on Sun Jul 18 10:52:54 2010
Raw output: _Users_wstein__sage_sage_notebook_sagenb_home_admin_478_code_sage39_spyx_0.c
1:
2: include "interrupt.pxi" # ctrl-c interrupt block support
3: include "stdsage.pxi" # ctrl-c interrupt block support
4:
5: include "cdefs.pxi"
6: def trial_division_cython1(n):
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7: if n == 1: return 1
__pyx_t_1 = PyObject_RichCompare(__pyx_v_n, __pyx_int_1, Py_EQ); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 7; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_1); __pyx_t_2 = __Pyx_PyObject_IsTrue(__pyx_t_1); if (unlikely(__pyx_t_2 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 7; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0; if (__pyx_t_2) { __Pyx_XDECREF(__pyx_r); __Pyx_INCREF(__pyx_int_1); __pyx_r = __pyx_int_1; goto __pyx_L0; goto __pyx_L5; } __pyx_L5:;
8: for p in [2, 3, 5]:
__pyx_t_1 = PyList_New(3); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 8; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(((PyObject *)__pyx_t_1)); __Pyx_INCREF(__pyx_int_2); PyList_SET_ITEM(__pyx_t_1, 0, __pyx_int_2); __Pyx_GIVEREF(__pyx_int_2); __Pyx_INCREF(__pyx_int_3); PyList_SET_ITEM(__pyx_t_1, 1, __pyx_int_3); __Pyx_GIVEREF(__pyx_int_3); __Pyx_INCREF(__pyx_int_5); PyList_SET_ITEM(__pyx_t_1, 2, __pyx_int_5); __Pyx_GIVEREF(__pyx_int_5); if (likely(((PyObject *)__pyx_t_1) != Py_None)) { __pyx_t_3 = 0; __pyx_t_4 = ((PyObject *)__pyx_t_1); __Pyx_INCREF(__pyx_t_4); } else { PyErr_SetString(PyExc_TypeError, "'NoneType' object is not iterable"); {__pyx_filename = __pyx_f[0]; __pyx_lineno = 8; __pyx_clineno = __LINE__; goto __pyx_L1_error;} } __Pyx_DECREF(((PyObject *)__pyx_t_1)); __pyx_t_1 = 0; for (;;) { if (__pyx_t_3 >= PyList_GET_SIZE(__pyx_t_4)) break; __pyx_t_1 = PyList_GET_ITEM(__pyx_t_4, __pyx_t_3); __Pyx_INCREF(__pyx_t_1); __pyx_t_3++; __Pyx_DECREF(__pyx_v_p); __pyx_v_p = __pyx_t_1; __pyx_t_1 = 0;
9: if n%p == 0: return p
__pyx_t_1 = PyNumber_Remainder(__pyx_v_n, __pyx_v_p); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 9; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_1); __pyx_t_5 = PyObject_RichCompare(__pyx_t_1, __pyx_int_0, Py_EQ); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 9; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_5); __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0; __pyx_t_2 = __Pyx_PyObject_IsTrue(__pyx_t_5); if (unlikely(__pyx_t_2 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 9; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0; if (__pyx_t_2) { __Pyx_XDECREF(__pyx_r); __Pyx_INCREF(__pyx_v_p); __pyx_r = __pyx_v_p; __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0; goto __pyx_L0; goto __pyx_L8; } __pyx_L8:; } __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
10: # Algorithm: only trial divide by numbers that
11: # are congruent to 1,7,11,13,17,29,23,29 mod 30=2*3*5.
12: dif = [6, 4, 2, 4, 2, 4, 6, 2]
__pyx_t_4 = PyList_New(8); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 12; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(((PyObject *)__pyx_t_4)); __Pyx_INCREF(__pyx_int_6); PyList_SET_ITEM(__pyx_t_4, 0, __pyx_int_6); __Pyx_GIVEREF(__pyx_int_6); __Pyx_INCREF(__pyx_int_4); PyList_SET_ITEM(__pyx_t_4, 1, __pyx_int_4); __Pyx_GIVEREF(__pyx_int_4); __Pyx_INCREF(__pyx_int_2); PyList_SET_ITEM(__pyx_t_4, 2, __pyx_int_2); __Pyx_GIVEREF(__pyx_int_2); __Pyx_INCREF(__pyx_int_4); PyList_SET_ITEM(__pyx_t_4, 3, __pyx_int_4); __Pyx_GIVEREF(__pyx_int_4); __Pyx_INCREF(__pyx_int_2); PyList_SET_ITEM(__pyx_t_4, 4, __pyx_int_2); __Pyx_GIVEREF(__pyx_int_2); __Pyx_INCREF(__pyx_int_4); PyList_SET_ITEM(__pyx_t_4, 5, __pyx_int_4); __Pyx_GIVEREF(__pyx_int_4); __Pyx_INCREF(__pyx_int_6); PyList_SET_ITEM(__pyx_t_4, 6, __pyx_int_6); __Pyx_GIVEREF(__pyx_int_6); __Pyx_INCREF(__pyx_int_2); PyList_SET_ITEM(__pyx_t_4, 7, __pyx_int_2); __Pyx_GIVEREF(__pyx_int_2); __Pyx_DECREF(__pyx_v_dif); __pyx_v_dif = ((PyObject *)__pyx_t_4); __pyx_t_4 = 0;
13: m = 7; i = 1
__Pyx_INCREF(__pyx_int_7); __Pyx_DECREF(__pyx_v_m); __pyx_v_m = __pyx_int_7; __Pyx_INCREF(__pyx_int_1); __Pyx_DECREF(__pyx_v_i); __pyx_v_i = __pyx_int_1;
14: while m*m <= n:
while (1) { __pyx_t_4 = PyNumber_Multiply(__pyx_v_m, __pyx_v_m); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 14; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_4); __pyx_t_5 = PyObject_RichCompare(__pyx_t_4, __pyx_v_n, Py_LE); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 14; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_5); __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0; __pyx_t_2 = __Pyx_PyObject_IsTrue(__pyx_t_5); if (unlikely(__pyx_t_2 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 14; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0; if (!__pyx_t_2) break;
15: if n%m == 0: return m
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16: m += dif[i%8]
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17: i += 1
__pyx_t_4 = PyNumber_InPlaceAdd(__pyx_v_i, __pyx_int_1); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 17; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_4); __Pyx_DECREF(__pyx_v_i); __pyx_v_i = __pyx_t_4; __pyx_t_4 = 0; }
18: return n
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