Clip

Clip(expr)

returns expr in the range -1 to 1. Returns -1 if expr is less than -1. Returns 1 if expr is greater than 1.

Clip(expr, {min, max})

returns expr in the range min to max. Returns min if expr is less than min. Returns max if expr is greater than max.

Clip(expr, {min, max}, {vMin, vMax})

returns expr in the range min to max. Returns vMin if expr is less than min. Returns vMax if expr is greater than max.

See

• Wikipedia - Clipping (signal processing)

Examples

>> Clip(Sin(Pi/7))
Sin(Pi/7)

>> Clip(Tan(E))
Tan(E)

>> Clip(Tan(2*E))
-1

>> Clip(Tan(-2*E))
1

>> Clip(x)
Clip(x)

>> Clip(Tan(2*E), {-1/2,1/2})
-1/2

>> Clip(Tan(-2*E), {-1/2,1/2})
1/2

>> Clip(Tan(E), {-1/2,1/2}, {a,b})
Tan(E)

>> Clip(Tan(2*E), {-1/2,1/2}, {a,b})
a

>> Clip(Tan(-2*E), {-1/2,1/2}, {a,b})
b

>> PiecewiseExpand(Clip(x))
Piecewise({{-1,x<-1},{1,x>1}},x)

Related terms

Piecewise, PiecewiseExpand

Implementation status

• ✅ - full supported

Github

• Implementation of Clip