# Vectors

Utility functions for vectors.

## Interface

### <mark style="color:blue;">find\_upper\_bound</mark>

Searches a sorted `vec` and returns the first index that contains a value greater or equal to `element`. If no such index exists (i.e. all values in the vector are strictly less than `element`),  and the vector length is returned.

{% hint style="success" %}
Time complexity O(log n).
{% endhint %}

```rust
public fun find_upper_bound(vec: vector<u64>, element: u64): u64
```

* **@param vec:** The vector to be searched.
* **@param element:** We check if there is a value higher than it in the vector.
* **@return u64.** The index of the member that is larger than `element`. The length is returned if no member is found.

### <mark style="color:blue;">lt</mark>

**Checks if `a` is smaller than `b`. E.g. x"123" < x"456".**

```rust
public fun lt(a: vector<u8>, b: vector<u8>): bool
```

* **@param a:** The first operand.
* **@param b:** The second operand..
* **@return bool.** If `a` is smaller than `b`.

**Aborts**

* `a` and `b` have different lengths.

### <mark style="color:blue;">gt</mark>

**Checks if `a` is larger than `b`. E.g. x"123" < x"456".**

```rust
public fun gt(a: vector<u8>, b: vector<u8>): bool
```

* **@param a:** The first operand.
* **@param b:** The second operand..
* **@return bool.** If `a` is larger than `b`.

**Aborts**

* `a` and `b` have different lengths.

### <mark style="color:blue;">lte</mark>

**Checks if `a` is smaller or equal to `b`. E.g. x"123" =< x"456".**

```rust
public fun lte(a: vector<u8>, b: vector<u8>): bool
```

* **@param a:** The first operand.
* **@param b:** The second operand..
* **@return bool.** If `a` is smaller or equal to `b`.

**Aborts**

* `a` and `b` have different lengths.

### <mark style="color:blue;">gte</mark>

**Checks if `a` is larger or equal to `b`. E.g. x"123" =< x"456".**

```rust
public fun gte(a: vector<u8>, b: vector<u8>): bool 
```

* **@param a:** The first operand.
* **@param b:** The second operand..
* **@return bool.** If `a` is larger or equal to `b`.

**Aborts**

* `a` and `b` have different lengths.

### <mark style="color:blue;">ascending\_insertion\_sort</mark>

**Sorts a `a` in ascending order. E.g. \[342] => \[234].**

```rust
public fun ascending_insertion_sort(a: vector<u256>): vector<u256>
```

* **@param a:** The vector to sort.
* **@return vector.** Sorted `a`.

**Aborts**

* `a` and `b` have different lengths.

### <mark style="color:blue;">descending\_insertion\_sort</mark>

**Sorts a `a` in descending order. E.g. \[342] => \[432].**

```rust
public fun descending_insertion_sort(a: vector<u256>): vector<u256>
```

* **@param a:** The vector to sort.
* **@return vector.** Sorted `a`.

**Aborts**

* `a` and `b` have different lengths.

### <mark style="color:blue;">quick\_sort</mark>

**Sorts a `values`. E.g. \[342] => \[234].**

{% hint style="warning" %}
This function mutates the original vector.
{% endhint %}

```rust
public fun quick_sort(values: &mut vector<u256>, left: u64, right: u64)
```

* **@param values:** The vector to sort.
* **@param left:** The smaller side of the pivot. Pass 0.
* **@param right:** The larger side of the pivot. Pass `vector::length - 1`.


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