## Rounding

### trunc-funktion

Removes the fractional part of the argument.

trunc(z)

#### Beskrivning

The trunc function returns the heltal part of z. The function removes the decimal part of z, i.e. rounds against zero. z may be any numeric expression that evaluates to a real number or a complex number. If z is a complex number, the function returns trunc(re(z))+trunc(im(z))i.

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### fract-funktion

Returns the fractional part of the argument.

fract(z)

#### Beskrivning

The fract function returns the fractional part of z. The function removes the heltal part of z, i.e. fract(z) = z - trunc(z). z may be any numeric expression that evaluates to a real number or a complex number. If z is a complex number, the function returns fract(re(z))+fract(im(z))i.

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### ceil-funktion

Rounds the argument up.

ceil(z)

#### Beskrivning

The ceil function finds the smallest heltal not less than z. z may be any numeric expression that evaluates to a real number or a complex number. If z is a complex number, the function returns ceil(re(z))+ceil(im(z))i.

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### floor-funktion

Rounds the argument down.

floor(z)

#### Beskrivning

The floor function, which is also called the greatest integer function, gives the largest heltal not greater than z. z may be any numeric expression that evaluates to a real number or a complex number. If z is a complex number, the function returns floor(re(z))+floor(im(z))i.

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### round-funktion

Rounds a number to the specified number of decimals.

round(z,n)

#### Beskrivning

The round function rounds z to the number of decimals given by n. z may be any numeric expression that evaluates to a real number or a complex number. If z is a complex number, the function returns round(re(z),n)+round(im(z),n)i. n may be any numeric expression that evaluates to an heltal. If n<0, z is rounded to n places to the left of the decimal point.

#### Exempel

 round(412.4572,3) = 412.457 round(412.4572,2) = 412.46 round(412.4572,1) = 412.5 round(412.4572,0) = 412 round(412.4572,-2) = 400

#### Se även

 Wikipedia MathWorld