#14005: Span of vectors over ZZ fails with "maximum recursion depth exceeded"
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Reporter: mraum | Owner: jason, was
Type: defect | Status: new
Priority: critical | Milestone: sage-5.7
Component: linear algebra | Keywords: ZZ, module, span, matrix,
row_module, column_module, RuntimeError, recursion depth
Work issues: | Report Upstream: N/A
Reviewers: | Authors:
Merged in: | Dependencies:
Stopgaps: |
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I encountered this bug while working some modular forms code. Currently, I
don't have enough time to find a minimal example, but I want to at least
report this error.
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0,
1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, -1, 0, 0, 0,
1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0,
0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 1, 0, 1, 0,
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,
0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, -1,
0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0,
0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 1,
0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0,
0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0,
0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0,
0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, -1, 0, 0,
0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-1, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1])
mZZ = matrix(ZZ, data[0], data[1])
mQQ = matrix(QQ, data[0], data[1])
}}}
Calling
{{{
mQQ.column_module()
mQQ.row_module()
}}}
Works perfectly, but both
{{{
mZZ.column_module()
mZZ.row_module()
}}}
fail. They raise a RuntimeError and exceed the maximum recursion depth.
The following functions call each other again and again.
{{{
/home/martin/workspace/sage541/local/lib/python2.7/site-
packages/sage/matrix/matrix2.so in sage.matrix.matrix2.Matrix.det
(sage/matrix/matrix2.c:8911)()
/home/martin/workspace/sage541/local/lib/python2.7/site-
packages/sage/matrix/matrix2.so in sage.matrix.matrix2.Matrix.determinant
(sage/matrix/matrix2.c:8013)()
/home/martin/workspace/sage541/local/lib/python2.7/site-
packages/sage/matrix/matrix2.so in sage.matrix.matrix2.Matrix.det
(sage/matrix/matrix2.c:8911)()
/home/martin/workspace/sage541/local/lib/python2.7/site-
packages/sage/matrix/matrix_integer_dense.so in
sage.matrix.matrix_integer_dense.Matrix_integer_dense.determinant
(sage/matrix/matrix_integer_dense.c:25978)()
/home/martin/workspace/sage541/local/lib/python2.7/site-
packages/sage/matrix/matrix_integer_dense_hnf.pyc in det_padic(A, proof,
stabilize)
202 v = random_matrix(ZZ, A.nrows(), 1)
203 d = A._solve_right_nonsingular_square(v,
check_rank=False).denominator()
--> 204 return det_given_divisor(A, d, proof=proof,
stabilize=stabilize)
205
206 def double_det (A, b, c, proof):
/home/martin/workspace/sage541/local/lib/python2.7/site-
packages/sage/matrix/matrix_integer_dense_hnf.pyc in det_given_divisor(A,
d, proof, stabilize)
155 if d % p != 0:
156 tm = cputime()
--> 157 dd, z_so_far, N_so_far =
det_from_modp_and_divisor(A, d, p, z_mod, moduli, z_so_far, N_so_far)
158 N *= p
159 verbose("computed det mod p=%s which is %s (of
about %s)"%(p, cnt, est), tm)
/home/martin/workspace/sage541/local/lib/python2.7/site-
packages/sage/matrix/matrix_integer_dense_hnf.pyc in
det_from_modp_and_divisor(A, d, p, z_mod, moduli, z_so_far, N_so_far)
67 """
68 tm = verbose("Multimodular stage of det calculation -- using p
= %s"%p, level=2)
---> 69 z = A.mod(p).det() / d
70 z = z.lift()
71 z_mod.append(z)
/home/martin/workspace/sage541/local/lib/python2.7/site-
packages/sage/matrix/matrix2.so in sage.matrix.matrix2.Matrix.det
(sage/matrix/matrix2.c:8911)()
}}}
And now it starts all over again.
This, of cause, also occurs when typing
{{{
span(m.rows())
span(m.columns())
}}}
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14005>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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