# Function ceil #

Round a value towards plus infinity If `x` is complex, both real and imaginary part are rounded towards plus infinity. For matrices, the function is evaluated element wise.

## Syntax #

``````math.ceil(x)
math.ceil(x, n)
``````

### Parameters #

Parameter Type Description
`x` number | BigNumber | Fraction | Complex | Array | Matrix Number to be rounded
`n` number | BigNumber | Array Number of decimals Default value: 0.

### Returns #

Type Description
number | BigNumber | Fraction | Complex | Array | Matrix Rounded value

### Throws #

Type | Description —- | ———–

## Examples #

``````math.ceil(3.2)               // returns number 4
math.ceil(3.8)               // returns number 4
math.ceil(-4.2)              // returns number -4
math.ceil(-4.7)              // returns number -4

math.ceil(3.212, 2)          // returns number 3.22
math.ceil(3.288, 2)          // returns number 3.29
math.ceil(-4.212, 2)         // returns number -4.21
math.ceil(-4.782, 2)         // returns number -4.78

const c = math.complex(3.24, -2.71)
math.ceil(c)                 // returns Complex 4 - 2i
math.ceil(c, 1)              // returns Complex 3.3 - 2.7i

math.ceil([3.2, 3.8, -4.7])  // returns Array [4, 4, -4]
math.ceil([3.21, 3.82, -4.71], 1)  // returns Array [3.3, 3.9, -4.7]
``````