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# IntFuzzyInterval

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

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

## Constructors

| **Constructor**                                  | **Description**                                                                      |
| :----------------------------------------------- | :----------------------------------------------------------------------------------- |
| `IntFuzzyInterval IntFuzzyInterval( Int value )` | Constructor from an integer. Initializes all the four values with the "value" value. |

## Initialization

| Initialization                        | Description                                                                                                                                                                                                                                |
| :------------------------------------ | :----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- |
| Expression of type `{x1, x2, x3, x4}` | A variable of type `IntFuzzyInterval` may be initialized by an expression of type `{x1, x2, x3, x4}`, where x1, x2, x3, and x4 are values of type `Int`. **Example:** `Int x1 = 5;` `IntFuzzyInterval intFuzzyInt = {x1, 200, 300, 5000};` |

## Operators

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