# range

Numerical range of fi or quantizer object

## Syntax

range(a)
[min_val, max_val]= range(a)
r = range(q)
[min_val, max_val] = range(q)

## Description

range(a) returns a fi object with the minimum and maximum possible values of fi object a. All possible quantized real-world values of a are in the range returned. If a is a complex number, then all possible values of real(a) and imag(a) are in the range returned.

[min_val, max_val]= range(a) returns the minimum and maximum values of fi object a in separate output variables.

r = range(q) returns the two-element row vector r = [a b] such that for all real x, y = quantize(q,x) returns y in the range ayb.

[min_val, max_val] = range(q) returns the minimum and maximum values of the range in separate output variables.

## Examples

q = quantizer('float',[6 3]);
r = range(q)

r =

-14    14
q = quantizer('fixed',[4 2],'floor');
[min_val,max_val] = range(q)

min_val =

-2

max_val =

1.7500

## Algorithms

If q is a floating-point quantizer object, a = -realmax(q), b = realmax(q).

If q is a signed fixed-point quantizer object (datamode = 'fixed'),

$a=-\mathrm{realmax}\left(q\right)-\mathrm{eps}\left(q\right)=\frac{-{2}^{w-1}}{{2}^{f}}$

$b=\mathrm{realmax}\left(q\right)=\frac{{2}^{w-1}-1}{{2}^{f}}$

If q is an unsigned fixed-point quantizer object (datamode = 'ufixed'),

$a=0$

$b=\mathrm{realmax}\left(q\right)=\frac{{2}^{w}-1}{{2}^{f}}$