1 | initial version |

I don't know for the symbolic range, but note that sage provides `srange`

which takes floats as input:

```
sage: srange(-3.0,3.0,0.02)
[-3.00000000000000,
-2.98000000000000,
-2.96000000000000,
-2.94000000000000,
...
2.96000000000000,
2.98000000000000]
```

2 | No.2 Revision |

I don't know for the symbolic range, but note that sage provides `srange`

which takes floats as input:

```
sage: srange(-3.0,3.0,0.02)
[-3.00000000000000,
-2.98000000000000,
-2.96000000000000,
-2.94000000000000,
...
2.96000000000000,
2.98000000000000]
```

EDIT:

Above, the ellipse "..." replacing the long output was done by hand. To have the ellipse to appear automatically, the best is to create your own class. For example:

```
sage: class MyRange(SageObject):
....: def __init__(self, start, stop, step):
....: self._start = start
....: self._stop = stop
....: self._step = step
....: def to_srange(self):
....: return srange(self._start, self._stop, self._step)
....: def __iter__(self):
....: return iter(self.to_srange())
....: def __repr__(self):
....: L = self.to_srange()
....: if len(L) < 10:
....: return repr(L)
....: else:
....: Lellipse = L[:3] + ["..."] + L[-3:]
....: return '['+', '.join(str(a) for a in Lellipse)+']'
....:
....:
sage: MyRange(-3,3,0.02)
[-3.00000000000000, -2.98000000000000, -2.96000000000000, ..., 2.94000000000000, 2.96000000000000, 2.98000000000000]
sage: sum(a^2 for a in MyRange(-3,3,0.02))
900.020000000001
sage: sum(a^2 for a in srange(-3,3,0.02)) # confirms that MyRange considers the whole list
900.020000000001
```

3 | No.3 Revision |

I don't know for the symbolic range, but note that sage provides `srange`

which takes floats as input:

```
sage: srange(-3.0,3.0,0.02)
[-3.00000000000000,
-2.98000000000000,
-2.96000000000000,
-2.94000000000000,
...
2.96000000000000,
2.98000000000000]
```

EDIT:

Above, the ellipse "..." replacing the long output was done by hand. To have the ellipse to appear automatically, the best is to create your own class. For example:

```
sage: class MyRange(SageObject):
....: def __init__(self, start, stop, step):
....: self._start = start
....: self._stop = stop
....: self._step = step
....: def to_srange(self):
....: return srange(self._start, self._stop, self._step)
....: def __iter__(self):
....: return iter(self.to_srange())
....: def __repr__(self):
....: L = self.to_srange()
....: if len(L) < 10:
....: return repr(L)
....: else:
....: Lellipse = L[:3] + ["..."] + L[-3:]
....: return '['+', '.join(str(a) for a in Lellipse)+']'
....:
....:
sage:
```~~MyRange(-3,3,0.02)
~~MyRange(-3,3,1) # short list no ellipse
[-3, -2, -1, 0, 1, 2]
sage: MyRange(-3,3,0.02) # long list with ellipse
[-3.00000000000000, -2.98000000000000, -2.96000000000000, ..., 2.94000000000000, 2.96000000000000, 2.98000000000000]
sage: sum(a^2 for a in MyRange(-3,3,0.02))
900.020000000001
sage: sum(a^2 for a in srange(-3,3,0.02)) # confirms that MyRange considers the whole list
900.020000000001

To learn how to use classes in Python/Sage, you may also look at this fruit.py example available in my optional package.

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