64 lines
1.2 KiB
Python
64 lines
1.2 KiB
Python
def gauss(A,b,offset=(0,0)):
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ox,oy = offset
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for i in range(oy,len(A)):
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if A[i][ox] != 0:
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A[i], A[oy] = A[oy], A[i]
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b[i], b[oy] = b[oy], b[i]
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break
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pprint(A)
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for i in range(oy+1,len(A)):
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if A[i][ox] != 0:
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c = A[i][0]/A[oy][0]
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A[i] = [ (A[i][x] - A[oy][x]*c) for x in range(ox,len(A[i])) ]
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b[i] = b[i] - b[oy]*c
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if oy < len(A)-1:
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A,b = gauss(A,b,offset=(ox+1,oy+1))
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b[oy] /= A[oy][ox]
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x = b[oy]
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for y in range(oy):
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b[y] -= A[y][ox]*x
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return A,b
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def vprint(A):
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print("Vector ----")
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for i in range(len(A)):
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print("%10.4f" % A[i])
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print("-----")
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def pprint(A):
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print("Matrix ----")
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for i in range(len(A)):
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print( " ".join(["%10.4f" % (A[i][j]) for j in range(len(A[i])) ]) )
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print("-----")
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A = [ [ 0, 0, 0,-1,-1, 1 ],
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[ -1, 1, 0, 0, 0, 0 ],
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[ 0, -1, 1, 0, 0, 0 ],
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[-1000, 0, 0, 1, 0, 0 ],
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[ 0, -1000, 0, 0, 1, 0 ],
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[ 0, 0, 0, 0, 0, 1 ] ]
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b = [ 0,
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0,
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0,
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0,
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0,
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5 ]
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pprint(A)
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vprint(b)
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# _, x = gauss(A,b)
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from numpy.linalg import solve
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x = solve(A,b)
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vprint(x)
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