#7557: conversion of complex numbers in symbolic expressions to maxima broken
-------------------------+--------------------------------------------------
Reporter: burcin | Owner: burcin
Type: defect | Status: new
Priority: major | Milestone: sage-4.3
Component: symbolics | Keywords:
Work_issues: | Author:
Upstream: N/A | Reviewer:
Merged: |
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Reported on sage-support:
{{{
var('y', domain='real')
assume(y, 'real')
abs(exp(y*I)).simplify()
1
abs(exp(1.1*y*I)).simplify()
e^(1.1*I*y)
The last result is incorrect. It seems simplify() doesn't like
floating point?
}}}
In this thread:
http://groups.google.com/group/sage-
support/browse_thread/thread/c6d4c757cef8cc4a
More evidence:
{{{
sage: t = abs(exp(y*I)); t
abs(e^(I*y))
sage: t._maxima_init_()
'abs(exp((y)*(0+%i*1)))'
sage: u = abs(exp(1.1*y*I)); u
abs(e^(1.10000000000000*I*y))
sage: u._maxima_init_()
'abs(exp((y)*(1.1000000000000001*I)))'
}}}
This might be the reason:
{{{
sage: t.operands()[0].operands()[0].operands()[1].pyobject()
I
sage: type(t.operands()[0].operands()[0].operands()[1].pyobject())
<type
'sage.rings.number_field.number_field_element_quadratic.NumberFieldElement_quadratic'>
sage: u.operands()[0].operands()[0].operands()[1].pyobject()
1.10000000000000*I
sage: type(u.operands()[0].operands()[0].operands()[1].pyobject())
<type 'sage.rings.complex_number.ComplexNumber'>
}}}
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/7557>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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