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ehaber99
76 lines
1.5 KiB
Python
76 lines
1.5 KiB
Python
import numpy as np
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from scipy import sparse
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from numpy import ones
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def ddx(n):
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"""Define 1D derivatives"""
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return sparse.spdiags((np.ones((n+1,1))*[-1,1]).T, [0,1], n, n+1)
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def sdiag(h):
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"""Sparse diagonal matrix"""
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return sparse.spdiags(h, 0, np.size(h), np.size(h))
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def speye(n):
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"""Sparse identity"""
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return sparse.identity(n)
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def kron3(A, B, C):
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"""Two kron prods"""
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return sparse.kron(sparse.kron(A, B), C)
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def av(n):
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"""Define 1D average"""
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return 0.5*(sparse.spdiags(ones(n+1), 0, n, n+1) + sparse.spdiags(ones(n+1), 1, n, n+1))
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def spzeros(n1, n2):
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"""spzeros"""
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return sparse.coo_matrix((n1, n2))
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def appendBottom(A, B):
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"""append on bottom"""
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C = sparse.vstack((A, B))
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C = C.tocsr()
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return C
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def appendBottom3(A, B, C):
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"""append on bottom"""
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C = appendBottom(appendBottom(A, B), C)
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C = C.tocsr()
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return C
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def appendRight(A, B):
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"""append on right"""
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C = sparse.hstack((A, B))
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C = C.tocsr()
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return C
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def appendRight3(A, B, C):
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"""append on right"""
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C = appendRight(appendRight(A, B), C)
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C = C.tocsr()
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return C
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def blkDiag(A, B):
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"""blockdigonal"""
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O12 = sparse.coo_matrix((np.shape(A)[0], np.shape(B)[1]))
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O21 = sparse.coo_matrix((np.shape(B)[0], np.shape(A)[1]))
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C = sparse.vstack((sparse.hstack((A, O12)), sparse.hstack((O21, B))))
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C = C.tocsr()
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return C
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def blkDiag3(A, B, C):
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"""blockdigonal 3"""
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ABC = blkDiag(blkDiag(A, B), C)
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ABC = ABC.tocsr()
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return ABC
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