I am getting an interesting result, and I'm wondering if anyone would care to
give me some intuition of why.
The example is simple enough, I want to get a range of values that are
representable by a type:
```python
f64_info = np.finfo(np.float64)
valid_range = np.linspace(
start=f64_info.min, stop=f64_info.max, num=10
)
valid_range => array([ nan, inf, inf,
inf,
inf, inf, inf, inf,
inf, 1.79769313e+308])
```
The minimum value is representable by the type, I can see it:
```python
f64_info.min => -1.7976931348623157e+308
```
I thought that maybe the valid range cannot start with the minimun value, so
I've tried a few alternatives:
```python
valid_range = np.linspace(
start=f64_info.min + f64_info.eps, stop=f64_info.max, num=10
)
valid_range => array([ nan, inf, inf,
inf,
inf, inf, inf, inf,
inf, 1.79769313e+308])
valid_range = np.linspace(
start=f64_info.min + f64_info.tiny, stop=f64_info.max, num=10
)
valid_range => array([ nan, inf, inf,
inf,
inf, inf, inf, inf,
inf, 1.79769313e+308])
```
I thought maybe the range is too wide, but I can do this:
```python
valid_range = np.linspace(
start=0, stop=f64_info.max, num=10
)
valid_range => array([0.00000000e+000, 1.99743682e+307, 3.99487363e+307,
5.99231045e+307,
7.98974727e+307, 9.98718408e+307, 1.19846209e+308,
1.39820577e+308,
1.59794945e+308, 1.79769313e+308])
...
valid_range = np.linspace(
start=f64_info.tiny, stop=f64_info.max, num=10
)
valid_range => array([2.22507386e-308, 1.99743682e+307, 3.99487363e+307,
5.99231045e+307,
7.98974727e+307, 9.98718408e+307, 1.19846209e+308,
1.39820577e+308,
1.59794945e+308, 1.79769313e+308])
...
f32_info = np.finfo(np.float32)
valid_range = np.linspace(
start=f32_info.tiny, stop=f32_info.max, num=10, dtype=np.float32,
)
valid_range => array([1.1754944e-38, 3.7809150e+37, 7.5618299e+37,
1.1342745e+38,
1.5123660e+38, 1.8904575e+38, 2.2685490e+38, 2.6466405e+38,
3.0247320e+38, 3.4028235e+38], dtype=float32)
```
I know that linear space is arbitrary, and perhaps not that useful. In fact
this is valid:
```python
valid_range = np.logspace(
start=f64_info.minexp, stop=f64_info.maxexp, num=10, base=2, endpoint=False
)
valid_range => array([2.22507386e-308, 8.67124674e-247, 3.37923704e-185,
1.31690901e-123,
5.13207368e-062, 2.00000000e+000, 7.79412037e+061, 3.03741562e+123,
1.18369915e+185, 4.61294681e+246])
```
But I'm still confused on why linear space is invalid
Thanks!
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