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algos.pyx
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# Copyright (c) Microsoft Corporation.
# Licensed under the MIT License.
# cython: language_level=3
import cython
from cython.parallel cimport prange, parallel
cimport numpy
import numpy
#define NPY_NO_DEPRECATED_API NPY_1_7_API_VERSION
def floyd_warshall(adjacency_matrix):
(nrows, ncols) = adjacency_matrix.shape
assert nrows == ncols
cdef unsigned int n = nrows
adj_mat_copy = adjacency_matrix.astype(long, order='C', casting='safe', copy=True)
assert adj_mat_copy.flags['C_CONTIGUOUS']
cdef numpy.ndarray[long, ndim=2, mode='c'] M = adj_mat_copy
cdef numpy.ndarray[long, ndim=2, mode='c'] path = numpy.zeros([n, n], dtype=numpy.int64)
cdef unsigned int i, j, k
cdef long M_ij, M_ik, cost_ikkj
cdef long* M_ptr = &M[0,0]
cdef long* M_i_ptr
cdef long* M_k_ptr
# set unreachable nodes distance to 510
for i in range(n):
for j in range(n):
if i == j:
M[i][j] = 0
elif M[i][j] == 0:
M[i][j] = 510
# floyed algo
for k in range(n):
M_k_ptr = M_ptr + n*k
for i in range(n):
M_i_ptr = M_ptr + n*i
M_ik = M_i_ptr[k]
for j in range(n):
cost_ikkj = M_ik + M_k_ptr[j]
M_ij = M_i_ptr[j]
if M_ij > cost_ikkj:
M_i_ptr[j] = cost_ikkj
path[i][j] = k
# set unreachable path to 510
for i in range(n):
for j in range(n):
if M[i][j] >= 510:
path[i][j] = 510
M[i][j] = 510
return M, path
# def floyed_warshall(adj):
# nrows, ncols = adj.shape
# assert nrows == ncols
# n = nrows
# M = np.zeros((n,n), dtype=np.int64)
# path = np.zeros((n,n), dtype=np.int64)
# for i in range(n):
# for j in range(n):
# if i==j: M[i,j] = 0
# elif M[i,j] == 0:
# M[i, j] = 510
# for k in range(n):
# for i in range(n):
# M_ik = M[i, k]
# for j in range(n):
# cost_ikkj = M[i, k] + M[k, j]
# M_ij = Mp[]
def get_all_edges(path, i, j):
cdef unsigned int k = path[i][j]
if k == 0:
return []
else:
return get_all_edges(path, i, k) + [k] + get_all_edges(path, k, j)
def gen_edge_input(max_dist, path, edge_feat):
(nrows, ncols) = path.shape
assert nrows == ncols
cdef unsigned int n = nrows
cdef unsigned int max_dist_copy = max_dist
path_copy = path.astype(long, order='C', casting='safe', copy=True)
edge_feat_copy = edge_feat.astype(float, order='C', casting='safe', copy=True)
assert path_copy.flags['C_CONTIGUOUS']
assert edge_feat_copy.flags['C_CONTIGUOUS']
cdef numpy.ndarray[double, ndim=4, mode='c'] edge_fea_all = -1 * numpy.ones([n, n, max_dist_copy, edge_feat.shape[-1]], dtype=numpy.float64)#.int64)
cdef unsigned int i, j, k, num_path, cur
for i in range(n):
for j in range(n):
if i == j:
continue
if path_copy[i][j] == 510:
continue
path = [i] + get_all_edges(path_copy, i, j) + [j]
num_path = len(path) - 1
for k in range(num_path):
edge_fea_all[i, j, k, :] = edge_feat_copy[path[k], path[k+1], :]
return edge_fea_all