## NumPy Floor_Divide: Dividing in an Intelligent Manner

Division is one of the fundamental arithmetic operations in mathematics. But when it comes to programming complex tasks, performing division needs to be done with a bit of intelligence.

The NumPy floor_divide method is one such intelligent way of performing division under certain scenarios. In this article, we will go over what NumPy floor_divide is, what it does, and how it functions.

### What is NumPy floor_divide?

NumPy is a Python library that is extensively used for working with multidimensional arrays. The floor_divide function is a part of NumPy’s ma (masked array) module. When we divide two numbers, we get an output in floating-point notation.

However, sometimes we need the quotient as an integer. This is where the floor_divide function comes into play.

The floor operator, represented by the double slash (//) symbol, divides two numbers and rounds down to the nearest integer towards negative infinity. When we divide 5 by 2, the result would be 2.5, but the floor operator would result in 2.

The mod operator (%) then calculates the remainder of the division. If we perform 5//2 and 5%2 on the same numbers, we get 2 and 1, respectively.

The NumPy floor_divide function performs floor division on two inputs or arrays. It returns the largest integer of the division operation.

If the inputs or arrays have different shapes, NumPy broadcasting is applied to align them. If one of the inputs is a scalar and the other is an array, each element in the array is divided by the scalar.

Similarly, if the first input is an array and the second input is a scalar, the scalar is divided by each element of the array.

## Example scenarios

Let us demonstrate with a few simple scenarios where NumPy floor_divide is helpful.

### Scenario 1

#### We have a list of numbers as follows:

`[10.5, 12.9, 32.8, 45.6, 43.2]`

If we use the floor operator on each of these numbers, we get:

`[10.0, 12.0, 32.0, 45.0, 43.0]`

But if we use NumPy floor_divide, the output would be:

`[10.0, 12.0, 32.0, 45.0, 43.0]`

### Scenario 2

#### We have two arrays of different shapes:

```
a = [1, 2, 3, 4]
b = [3, 1]
```

If we try to divide the two arrays using normal division, Python would raise an error. But if we use NumPy floor_divide, the arrays would be broadcasted and divided.

#### The output would be:

```
[[0, 2, 1, 1],
[1, 1, 1, 1]]
```

### Scenario 3

#### We have an array and a scalar:

```
a = [3, 6, 9]
b = 3
```

If we divide the array by the scalar using normal division, we get an array of floating-point numbers. The output would be:

`[1.0, 2.0, 3.0]`

But if we use NumPy floor_divide, the output would be:

`[1, 2, 3]`

## Conclusion

NumPy floor_divide is a useful method to perform floor division intelligently. It is particularly useful when dividing two arrays of different shapes or when the operands require broadcasting.

The functionality of NumPy floor_divide allows us to perform division in a more versatile manner.

## 3) Syntax of NumPy floor_divide

### The syntax for the NumPy floor_divide function is as follows:

`numpy.floor_divide(x1, x2, /, out=None, *, where=True, casting='same_kind', order='K', dtype=None, subok=True[, signature, extobj])`

Here, `x1` is the divisor, and `x2` is the dividend. The forward slash (`/`) indicates that the parameters before it are positional parameters, and the parameters after it are keyword-only parameters.

The function returns an array containing the largest integer resulting from the division operation. If the inputs or arrays have different shapes, NumPy broadcasting is applied to align them.

If one of the inputs is a scalar and the other is an array, each element in the array is divided by the scalar. Similarly, if the first input is an array and the second input is a scalar, the scalar is divided by each element of the array.

The optional `out` parameter is used to specify the output array. It must be the same shape and type as the expected output.

The `where` parameter is for specifying which elements to choose from the two inputs. If `where` is True (default), pick elements from the first input.

If `where` is False, pick elements from the second input. The `casting` parameter specifies the type of the output array if casting is needed.

The `dtype` parameter allows you to specify the data type of the output array. Finally, the `subok` parameter specifies whether a subclass of the input arrays will be preserved.

## 4) Examples of NumPy floor_divide

### Example 1: Using NumPy floor_divide with a scalar on a 1-dimensional array

#### Suppose we have an array of six elements as follows:

```
import numpy as np
a = np.array([10, 20, 30, 40, 50, 60])
```

If we want to divide the array by a scalar value of 4, we can do so using NumPy floor_divide as follows:

```
b = np.floor_divide(a, 4)
print(b)
```

#### The resulting output would be:

`[ 2 5 7 10 12 15]`

### Example 2: Using NumPy floor_divide with a scalar on a 2-dimensional array

#### Suppose we have a 2-dimensional array of size 3×3 as follows:

```
import numpy as np
a = np.array([[2, 6, 8],
[4, 12, 15],
[6, 18, 21]])
```

If we want to divide the array by a scalar value of 2, we can do so using NumPy floor_divide as follows:

```
b = np.floor_divide(a, 2)
print(b)
```

#### The resulting output would be:

```
[[ 1 3 4]
[ 2 6 7]
[ 3 9 10]]
```

### Example 3: Using NumPy floor_divide with two arrays/lists

#### Suppose we have two lists of the same size:

```
import numpy as np
a = [10, 15, 20, 25]
b = [2, 3, 4, 5]
```

If we want to divide each element of the first list by each element of the second list and get the largest integer result, we can use NumPy floor_divide as follows:

```
c = np.floor_divide(a, b)
print(c)
```

#### The resulting output would be:

`[ 5 5 5 5]`

Here, each corresponding element of `a` is divided by its corresponding element in `b` to produce the output.

### Example 4: Using NumPy floor_divide with negative numbers in arrays

#### Suppose we have an array of size 5×5 with negative values:

```
import numpy as np
a = np.array([[-5, 10, -15, -20, 25],
[-30, 35, -40, 45, -50],
[-55, -60, 65, -70, 75],
[80, -85, 90, -95, 100],
[-105, 110, -115, 120, -125]])
```

If we want to divide each element of the array by -5, we can use NumPy floor_divide as follows:

```
b = np.floor_divide(a, -5)
print(b)
```

#### The resulting output would be:

```
[[ 1 -2 3 4 -5]
[ 6 -7 8 -9 10]
[11 12 -13 14 -15]
[-16 17 -18 19 -20]
[21 -22 23 -24 25]]
```

Note that using the floor_divide with negative values gives us the largest integer result (in the direction of negative infinity) that is closer to zero.

## Conclusion

NumPy floor_divide is a useful function for performing floor division on NumPy arrays while maintaining broadcasting. It provides flexibility by accommodating inputs of varying shapes and sizes.

In summary, the use of NumPy floor_divide makes it easier and more efficient for Python developers to perform integer divisions when required.

## 5) Conclusion

In this article, we have discussed NumPy floor_divide, a useful method for performing intelligent floor division on arrays using Python. The function is particularly helpful in handling complex tasks involving multidimensional arrays.

We have covered the syntax of the NumPy floor_divide method and its parameters and returns. We have also gone over multiple examples that demonstrate the use of NumPy floor_divide.

In the first example, we saw how NumPy floor_divide can be used with a scalar value to divide a 1-dimensional array. In the second example, we demonstrated how NumPy floor_divide can be used with a scalar value on a 2-dimensional array.

In the third example, we showed how NumPy floor_divide can be used to divide two lists or arrays, producing an array of the largest integer results. Finally, in the fourth example, we demonstrated how NumPy floor_divide handles negative values when dividing an array.

NumPy floor_divide is a useful tool for any Python developer working with complex multidimensional arrays. It is particularly useful when performing integer division, which is required for certain programming tasks.

The function provides flexibility by accommodating inputs of varying shapes and sizes, allowing developers to perform arithmetic operations more efficiently. To conclude, the NumPy floor_divide method makes it easy and straightforward to perform division operations, ensuring that the output is of an integer type as required in several computational demanding scenarios.

Developers have come to appreciate this function because it is convenient to use and leads to optimum output for the intended output. In summary, NumPy floor_divide is an essential method for performing intelligent floor division on arrays using Python.

It is helpful in handling complex tasks involving multidimensional arrays and provides flexibility by accommodating inputs of varying shapes and sizes. The function is particularly useful when performing integer division, which is required for certain programming tasks.

Developers appreciate NumPy floor_divide since it is convenient to use and produces optimum output for their intended use. Overall, NumPy floor_divide makes it easier and more efficient for Python developers to perform integer divisions when required, making it an important tool in the NumPy library.