Generated by Cython 0.29.11
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" to see the C code that Cython generated for it.
Raw output: int_matrix.c
+001: from functools import reduce
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+002: from typing import List
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003:
+004: import numpy as np
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005: cimport numpy as np
006: cimport cython
007:
+008: DTYPE = np.uint64
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009: ctypedef np.uint64_t DTYPE_t
010:
011:
012:
+013: class IntMatrix:
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014: """
015: Class to represent a matrix with entries from GF(2).
016:
017: This implementation has a maximum size of 64*64 matrices. This is done for efficiency, as the rows of the matrices are stored as unsigned 64 bit integers.
018: The 0th entry of each row corresponds to the least significant bit of the integer. Storing as integers allows for efficient operations using bitwise operators.
019: """
020:
021: # cdef DTYPE_t rows
022: # cdef DTYPE_t columns
023:
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+026: raise ValueError("Matrix dimensions must be positive values less than or equal to 64.")
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035: """
036: Adds two matrices together.
037:
038: As this matrix is from GF2, the componentwise addition is performed by exclusive or (XOR).
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040:
041: :param other: Second operand of the addition operation.
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054: """
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101: """
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204:
205: This function modifies the input array.
206:
207: :return: The rank of the matrix.
208: """
+209: return _rank(self.data)
__Pyx_XDECREF(__pyx_r); __pyx_t_1 = __Pyx_PyObject_GetAttrStr(__pyx_v_self, __pyx_n_s_data); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 209, __pyx_L1_error) __Pyx_GOTREF(__pyx_t_1); __pyx_t_2 = __Pyx_PyObject_to_MemoryviewSlice_ds_nn___pyx_t_9GF2Matrix_10int_matrix_DTYPE_t(__pyx_t_1, PyBUF_WRITABLE); if (unlikely(!__pyx_t_2.memview)) __PYX_ERR(0, 209, __pyx_L1_error) __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0; __pyx_t_1 = __Pyx_PyInt_FromSize_t(__pyx_f_9GF2Matrix_10int_matrix__rank(__pyx_t_2)); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 209, __pyx_L1_error) __Pyx_GOTREF(__pyx_t_1); __PYX_XDEC_MEMVIEW(&__pyx_t_2, 1); __pyx_t_2.memview = NULL; __pyx_t_2.data = NULL; __pyx_r = __pyx_t_1; __pyx_t_1 = 0; goto __pyx_L0;
210: # rank = 0
211: # rows = self.data
212: # for col_mask in (DTYPE(1) << col for col in np.arange(0, self.columns, dtype=DTYPE)):
213: # pivot_row = None
214: # rows, old_rows = [], rows
215: # for row in old_rows:
216: # if not row & col_mask:
217: # rows.append(row)
218: # elif pivot_row:
219: # rows.append(row ^ pivot_row)
220: # else:
221: # pivot_row = row
222: # rank += 1
223: # return rank
224:
225: @cython.boundscheck(False) # turn off bounds-checking for entire function
226: @cython.wraparound(False) # turn off negative index wrapping for entire function
+227: cdef size_t _rank(DTYPE_t[:] rows):
static size_t __pyx_f_9GF2Matrix_10int_matrix__rank(__Pyx_memviewslice __pyx_v_rows) { size_t __pyx_v_i; size_t __pyx_v_j; size_t __pyx_v_nrows; size_t __pyx_v_rank; __pyx_t_9GF2Matrix_10int_matrix_DTYPE_t __pyx_v_pivot_row; __pyx_t_9GF2Matrix_10int_matrix_DTYPE_t __pyx_v_row; __pyx_t_9GF2Matrix_10int_matrix_DTYPE_t __pyx_v_lsb; size_t __pyx_r; __Pyx_RefNannyDeclarations __Pyx_RefNannySetupContext("_rank", 0); /* … */ /* function exit code */ __pyx_L0:; __Pyx_RefNannyFinishContext(); return __pyx_r; }
228: """
229: Find rank of a matrix over GF2.
230:
231: This function modifies the input array.
232: """
233: cdef size_t i, j, nrows, rank
234: cdef DTYPE_t pivot_row, row, lsb
+235: nrows = rows.shape[0]
__pyx_v_nrows = (__pyx_v_rows.shape[0]);
+236: rank = 0
__pyx_v_rank = 0;
+237: for i in range(nrows):
__pyx_t_1 = __pyx_v_nrows; __pyx_t_2 = __pyx_t_1; for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) { __pyx_v_i = __pyx_t_3;
+238: pivot_row = rows[i]
__pyx_t_4 = __pyx_v_i; __pyx_v_pivot_row = (*((__pyx_t_9GF2Matrix_10int_matrix_DTYPE_t *) ( /* dim=0 */ (__pyx_v_rows.data + __pyx_t_4 * __pyx_v_rows.strides[0]) )));
+239: if pivot_row:
__pyx_t_5 = (__pyx_v_pivot_row != 0); if (__pyx_t_5) { /* … */ } }
+240: rank += 1
__pyx_v_rank = (__pyx_v_rank + 1);
+241: lsb = pivot_row & -pivot_row
__pyx_v_lsb = (__pyx_v_pivot_row & (-__pyx_v_pivot_row));
+242: for j in range(i + 1, nrows):
__pyx_t_6 = __pyx_v_nrows; __pyx_t_7 = __pyx_t_6; for (__pyx_t_8 = (__pyx_v_i + 1); __pyx_t_8 < __pyx_t_7; __pyx_t_8+=1) { __pyx_v_j = __pyx_t_8;
+243: row = rows[j]
__pyx_t_9 = __pyx_v_j; __pyx_v_row = (*((__pyx_t_9GF2Matrix_10int_matrix_DTYPE_t *) ( /* dim=0 */ (__pyx_v_rows.data + __pyx_t_9 * __pyx_v_rows.strides[0]) )));
+244: if row & lsb:
__pyx_t_5 = ((__pyx_v_row & __pyx_v_lsb) != 0); if (__pyx_t_5) { /* … */ } }
+245: rows[j] = row ^ pivot_row
__pyx_t_10 = __pyx_v_j; *((__pyx_t_9GF2Matrix_10int_matrix_DTYPE_t *) ( /* dim=0 */ (__pyx_v_rows.data + __pyx_t_10 * __pyx_v_rows.strides[0]) )) = (__pyx_v_row ^ __pyx_v_pivot_row);
+246: return rank
__pyx_r = __pyx_v_rank; goto __pyx_L0;
247:
248: @cython.boundscheck(False) # turn off bounds-checking for entire function
249: @cython.wraparound(False) # turn off negative index wrapping for entire function
+250: cdef _add(DTYPE_t[:] m1, DTYPE_t[:] m2, DTYPE_t[:] result):
static PyObject *__pyx_f_9GF2Matrix_10int_matrix__add(__Pyx_memviewslice __pyx_v_m1, __Pyx_memviewslice __pyx_v_m2, __Pyx_memviewslice __pyx_v_result) { Py_ssize_t __pyx_v_nrows; Py_ssize_t __pyx_v_i; PyObject *__pyx_r = NULL; __Pyx_RefNannyDeclarations __Pyx_RefNannySetupContext("_add", 0); /* … */ /* function exit code */ __pyx_r = Py_None; __Pyx_INCREF(Py_None); __Pyx_XGIVEREF(__pyx_r); __Pyx_RefNannyFinishContext(); return __pyx_r; }
+251: nrows = result.shape[0]
__pyx_v_nrows = (__pyx_v_result.shape[0]);
+252: for i in range(nrows):
__pyx_t_1 = __pyx_v_nrows; __pyx_t_2 = __pyx_t_1; for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) { __pyx_v_i = __pyx_t_3;
+253: result[i] = m1[i] ^ m2[i]
__pyx_t_4 = __pyx_v_i; __pyx_t_5 = __pyx_v_i; __pyx_t_6 = __pyx_v_i; *((__pyx_t_9GF2Matrix_10int_matrix_DTYPE_t *) ( /* dim=0 */ (__pyx_v_result.data + __pyx_t_6 * __pyx_v_result.strides[0]) )) = ((*((__pyx_t_9GF2Matrix_10int_matrix_DTYPE_t *) ( /* dim=0 */ (__pyx_v_m1.data + __pyx_t_4 * __pyx_v_m1.strides[0]) ))) ^ (*((__pyx_t_9GF2Matrix_10int_matrix_DTYPE_t *) ( /* dim=0 */ (__pyx_v_m2.data + __pyx_t_5 * __pyx_v_m2.strides[0]) )))); }
254:
255: