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long traceback when calling solve()

asked 2019-02-15 23:30:38 +0200

stockh0lm gravatar image

updated 2023-01-09 23:59:50 +0200

tmonteil gravatar image

After https://ask.sagemath.org/question/454... I substituted variables with numbers (in RIF format) so that sage might have an easier time solving for d_k. I got this:

0 == -v_ges + 1/(sqrt(4*d_k^2 + 0.57?)*d_k*((3.?e-11)/(d_k - 0.1?) + 1.?e-8)) - 1/(sqrt(4*d_k^2 + 0.0625000000000000)*d_k*((3.?e-11)/(d_k - 0.1?) + 1.?e-8)) + 3.7?e9

But now, when I try to solve the above for d_k, I get this long traceback, which is above my sage skills. How can I solve this? The worksheet is https://cocalc.com/share/f7766c5e-2f4...

*** WARNING: Code contains possible implicit multiplication    ***
*** Check if any of [ 5e, 5e ] need a "*" sign for multiplication, e.g. 5x should be 5*x ! ***

Error in lines 42-42
Traceback (most recent call last):
  File "/cocalc/lib/python2.7/site-packages/smc_sagews/sage_server.py", line 1188, in execute
    flags=compile_flags) in namespace, locals
  File "", line 1, in <module>
  File "sage/symbolic/expression.pyx", line 11568, in sage.symbolic.expression.Expression.solve (build/cythonized/sage/symbolic/expression.cpp:59905)
    return solve(self, x, multiplicities=multiplicities,
  File "/ext/sage/sage-8.6_1804/local/lib/python2.7/site-packages/sage/symbolic/relation.py", line 1044, in solve
    return _solve_expression(f, x, explicit_solutions, multiplicities, to_poly_solve, solution_dict, algorithm, domain)
  File "/ext/sage/sage-8.6_1804/local/lib/python2.7/site-packages/sage/symbolic/relation.py", line 1282, in _solve_expression
    m = ex._maxima_()
  File "sage/symbolic/expression.pyx", line 817, in sage.symbolic.expression.Expression._maxima_ (build/cythonized/sage/symbolic/expression.cpp:7898)
    return super(Expression, self)._interface_(maxima)
  File "sage/structure/sage_object.pyx", line 663, in sage.structure.sage_object.SageObject._interface_ (build/cythonized/sage/structure/sage_object.c:5290)
    s = init_func()
  File "sage/structure/sage_object.pyx", line 769, in sage.structure.sage_object.SageObject._maxima_lib_init_ (build/cythonized/sage/structure/sage_object.c:7971)
    return self._maxima_init_()
  File "sage/structure/sage_object.pyx", line 762, in sage.structure.sage_object.SageObject._maxima_init_ (build/cythonized/sage/structure/sage_object.c:7742)
    return self._interface_init_(I)
  File "sage/symbolic/expression.pyx", line 854, in sage.symbolic.expression.Expression._interface_init_ (build/cythonized/sage/symbolic/expression.cpp:8069)
    return InterfaceInit(I)(self)
  File "/ext/sage/sage-8.6_1804/local/lib/python2.7/site-packages/sage/symbolic/expression_conversions.py", line 219, in __call__
    return self.relation(ex, operator)
  File "/ext/sage/sage-8.6_1804/local/lib/python2.7/site-packages/sage/symbolic/expression_conversions.py", line 471, in relation
    self(ex.rhs()))
  File "/ext/sage/sage-8.6_1804/local/lib/python2.7/site-packages/sage/symbolic/expression_conversions.py", line 217, in __call__
    return self.arithmetic(ex, operator)
  File "/ext/sage/sage-8.6_1804/local/lib/python2.7/site-packages/sage/symbolic/expression_conversions.py", line 624, in arithmetic
    args = ["(%s)"%self(op) for op in ex.operands()]
  File "/ext/sage/sage-8.6_1804/local/lib/python2.7/site-packages/sage/symbolic/expression_conversions.py", line 217, in __call__
    return self.arithmetic(ex, operator)
  File "/ext/sage/sage-8.6_1804/local/lib/python2.7/site-packages/sage/symbolic/expression_conversions.py", line 624, in arithmetic
    args = ["(%s)"%self(op) for op in ex.operands()]
  File "/ext/sage/sage-8.6_1804/local/lib/python2.7/site-packages/sage/symbolic/expression_conversions.py", line 217, in __call__
    return self.arithmetic(ex, operator)
  File "/ext/sage/sage-8.6_1804/local/lib/python2.7/site-packages/sage/symbolic/expression_conversions.py", line 624, in arithmetic
    args = ["(%s)"%self(op) for op in ex.operands()]
  File "/ext/sage/sage-8.6_1804/local/lib/python2.7/site-packages/sage/symbolic/expression_conversions.py", line 217, in __call__
    return self.arithmetic(ex, operator)
  File "/ext/sage/sage-8.6_1804/local/lib/python2.7/site-packages/sage/symbolic/expression_conversions.py", line 624, in arithmetic
    args = ["(%s)"%self(op) for op in ex.operands()]
  File "/ext/sage/sage-8.6_1804/local/lib/python2.7/site-packages/sage/symbolic/expression_conversions.py", line 207, in __call__
    raise err
TypeError
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answered 2019-02-18 11:57:08 +0200

rburing gravatar image

Apparently substituting variables with RIF numbers does not give Sage an easier time solving equations.

The trouble is that Sage uses Maxima for solving equations (by default).

The traceback shows that Sage has a problem converting RIF numbers into Maxima objects.

Here is a more self-contained example:

sage: var('x')
sage: solve(x + RIF(0.999,1.001) == 0, x)

I reported this as trac ticket #27314.

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Thank you for reporting the issue!

Iguananaut gravatar imageIguananaut ( 2019-02-18 11:57:56 +0200 )edit

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Asked: 2019-02-15 23:30:38 +0200

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Last updated: Feb 18 '19