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@ -87,3 +87,100 @@ plt.show()
```
![image3](image3.png)
## [numpy.mgrid](https://numpy.org/doc/stable/reference/generated/numpy.mgrid.html) (dense meshgrid)
{: .topic-optional}
This is an optional topic!
```python
numpy.mgrid = <numpy.lib.index_tricks.MGridClass object>
```
> An instance which returns a dense multi-dimensional “meshgrid”.
>
> An instance which returns a dense (or fleshed out) mesh-grid when indexed, so that each returned argument has the same shape. The dimensions and number of the output arrays are equal to the number of indexing dimensions. If the step length is not a complex number, then the stop is not inclusive.
>
> However, if the step length is a complex number (e.g. 5j), then the integer part of its magnitude is interpreted as specifying the number of points to create between the start and stop values, where the stop value is inclusive.
```python
import numpy as np
xv, yv = np.mgrid[0:5, 0:5]
print(xv)
print()
print(yv)
```
Output:
```python
[[0 0 0 0 0]
[1 1 1 1 1]
[2 2 2 2 2]
[3 3 3 3 3]
[4 4 4 4 4]]
[[0 1 2 3 4]
[0 1 2 3 4]
[0 1 2 3 4]
[0 1 2 3 4]
[0 1 2 3 4]]
```
```python
import numpy as np
xv, yv = np.mgrid[0:5:0.25, 0:5:0.5]
print(xv)
print()
print(yv)
```
Output:
```python
[[0. 0. 0. 0. 0. 0. 0. 0. 0. 0. ]
[0.25 0.25 0.25 0.25 0.25 0.25 0.25 0.25 0.25 0.25]
[0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 ]
[0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75]
[1. 1. 1. 1. 1. 1. 1. 1. 1. 1. ]
[1.25 1.25 1.25 1.25 1.25 1.25 1.25 1.25 1.25 1.25]
[1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 ]
[1.75 1.75 1.75 1.75 1.75 1.75 1.75 1.75 1.75 1.75]
[2. 2. 2. 2. 2. 2. 2. 2. 2. 2. ]
[2.25 2.25 2.25 2.25 2.25 2.25 2.25 2.25 2.25 2.25]
[2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 ]
[2.75 2.75 2.75 2.75 2.75 2.75 2.75 2.75 2.75 2.75]
[3. 3. 3. 3. 3. 3. 3. 3. 3. 3. ]
[3.25 3.25 3.25 3.25 3.25 3.25 3.25 3.25 3.25 3.25]
[3.5 3.5 3.5 3.5 3.5 3.5 3.5 3.5 3.5 3.5 ]
[3.75 3.75 3.75 3.75 3.75 3.75 3.75 3.75 3.75 3.75]
[4. 4. 4. 4. 4. 4. 4. 4. 4. 4. ]
[4.25 4.25 4.25 4.25 4.25 4.25 4.25 4.25 4.25 4.25]
[4.5 4.5 4.5 4.5 4.5 4.5 4.5 4.5 4.5 4.5 ]
[4.75 4.75 4.75 4.75 4.75 4.75 4.75 4.75 4.75 4.75]]
[[0. 0.5 1. 1.5 2. 2.5 3. 3.5 4. 4.5]
[0. 0.5 1. 1.5 2. 2.5 3. 3.5 4. 4.5]
[0. 0.5 1. 1.5 2. 2.5 3. 3.5 4. 4.5]
[0. 0.5 1. 1.5 2. 2.5 3. 3.5 4. 4.5]
[0. 0.5 1. 1.5 2. 2.5 3. 3.5 4. 4.5]
[0. 0.5 1. 1.5 2. 2.5 3. 3.5 4. 4.5]
[0. 0.5 1. 1.5 2. 2.5 3. 3.5 4. 4.5]
[0. 0.5 1. 1.5 2. 2.5 3. 3.5 4. 4.5]
[0. 0.5 1. 1.5 2. 2.5 3. 3.5 4. 4.5]
[0. 0.5 1. 1.5 2. 2.5 3. 3.5 4. 4.5]
[0. 0.5 1. 1.5 2. 2.5 3. 3.5 4. 4.5]
[0. 0.5 1. 1.5 2. 2.5 3. 3.5 4. 4.5]
[0. 0.5 1. 1.5 2. 2.5 3. 3.5 4. 4.5]
[0. 0.5 1. 1.5 2. 2.5 3. 3.5 4. 4.5]
[0. 0.5 1. 1.5 2. 2.5 3. 3.5 4. 4.5]
[0. 0.5 1. 1.5 2. 2.5 3. 3.5 4. 4.5]
[0. 0.5 1. 1.5 2. 2.5 3. 3.5 4. 4.5]
[0. 0.5 1. 1.5 2. 2.5 3. 3.5 4. 4.5]
[0. 0.5 1. 1.5 2. 2.5 3. 3.5 4. 4.5]
[0. 0.5 1. 1.5 2. 2.5 3. 3.5 4. 4.5]]
```