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# DistFuzzyInterval

> Fuzzy distance interval defined by four ordered Distance values, used in the FlexiLayout language for arithmetic with Distance and DistInterval values.

A type for representing a fuzzy integer interval of distances. The fuzzy interval is represented by four values of type Distance, each of which should be greater than or equal to the previous value.

## Constructor

| Signature                                               | Description                                                                                        |
| :------------------------------------------------------ | :------------------------------------------------------------------------------------------------- |
| `DistFuzzyInterval DistFuzzyInterval( Distance value )` | Constructor from a value of type Distance. Initializes all the four values with the "value" value. |

## Initialization

A variable of type `DistFuzzyInterval` may be initialized with an expression of type `{d1, d2, d3, d4}`, where d1, d2, d3, and d4 are values of type Distance.

**Example:**

```
Distance d1 = 5dt;
DistFuzzyInterval distFuzzyInt = {d1, 200dt, 300dt, 5000dt};
```

## Operators

| Operator | Description                                                                                                                                                    |
| :------- | :------------------------------------------------------------------------------------------------------------------------------------------------------------- |
| `+`      | A binary addition operator that adds a value of type DistFuzzyInterval to a value of type Distance. Returns a value of type DistFuzzyInterval.                 |
| `+`      | A binary addition operator that adds a value of type DistFuzzyInterval to a value of type DistInterval. Returns a value of type DistFuzzyInterval.             |
| `-`      | A binary subtraction operator that subtracts a value of type Distance from a value of type DistFuzzyInterval. Returns a value of type DistFuzzyInterval.       |
| `-`      | A binary subtraction operator that subtracts a value of type DistFuzzyInterval from a value of type Distance. Returns a value of type DistFuzzyInterval.       |
| `-`      | A binary subtraction operator that subtracts a value of type DistInterval from a value of type DistFuzzyInterval. Returns a value of type DistFuzzyInterval.   |
| `-`      | A binary subtraction operator that subtracts a value of type DistFuzzyInterval from a value of type DistInterval. Returns a value of type DistFuzzyInterval.   |
| `*`      | A binary multiplication operator that multiplies a value of type DistFuzzyInterval by a value of type Int. Returns a value of type DistFuzzyInterval.          |
| `*`      | A binary multiplication operator that multiplies a value of type DistFuzzyInterval by a value of type DistInterval. Returns a value of type DistFuzzyInterval. |
| `/`      | A binary division operator that divides a value of type DistFuzzyInterval by a value of type Int. Returns a value of type DistFuzzyInterval.                   |