Thanks for your inputs. Let me summarize:
ellipsis notation: gives a list of Integers
sage: [0..9]
[0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
sage: preparse('[0..9]')
'(ellipsis_range(Integer(0),Ellipsis,Integer(9)))'
sage: type([0..9].pop())
<type 'sage.rings.integer.Integer'>
ZZ.range: gives a list of integers
sage: ZZ.range(10)
[0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
sage: type(ZZ.range(10).pop())
<type 'sage.rings.integer.Integer'>
interval: gives a list of ints
sage: interval(0,9)
[0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
sage: type(interval(0,9).pop())
<type 'int'>
srange: gives a list of Integers
sage: srange(10)
[0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
sage: type(srange(10).pop())
<type 'sage.rings.integer.Integer'>
xsrange: an interator that generates Integers.
sage: xsrange(10)
<generator object at 0x3ed2c95a8>
sage: [e for e in xsrange(10)]
[0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
range: gives a list of ints
sage: range(10)
[0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
sage: type(range(10).pop())
<type 'int'>
sage: preparse('range(10)')
'range(Integer(10))'
It seems to me:
(1) ellipsis notation is easiest alternative for my purpose.
(2) interval should be redefined to give a list of Integers. Do you agree?
(3) srange, xsrange are intended to be alternatives to range, for my
purpose.
(4) is this "range" the vanilla python built-in? I suspect not because
"range" accepts Integer input. If range was redefined somewhere in sage to
accept Integer as well as int, then perhaps range could be redefined to
give a list of Integers for Integer input and a list of ints for int input.
Am I wrong?
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