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abs

abs

Purpose
This constraint states that a variable y equals the absolute value of another variable x
Synopsis
abs(x) = y with x,y:cpvar
abs(x) op I with x:cpvar and I:integer and op one of =, ≥, ≤, <>
x = abs(y) with x,y:cpvar
I op abs(x) with I:integer and x:cpvar and op one of =, ≥, ≤, <>
Arguments
x 
absolute value variable (of type cpvar, cpfloatvar, cplinexp, cpnlinexp)
y 
value variable (of the same type as x)
I 
integer value
Return value
An absolute value constraint over the arguments
Example
The following example shows how to use the absolute value constraint 
model "Distance constraints"
 uses "kalis"

 setparam("KALIS_DEFAULT_LB", -50); setparam("KALIS_DEFAULT_UB", 50)

 declarations
  x, y, z: cpvar
  Dist: cpctr
 end-declarations

 setname(x,"x")
 setname(y,"y")
 setname(z,"z")

 abs(x) = y
 writeln("Absolute value of x: ", x,y,z)

 y >= 20
 writeln("Bounding y by 20: ", x,y,z)

! abs(y-z) <= 3
! Equivalent version of this constraint:
 distance(y,z) <= 3

 writeln("Max distance betw. y and z: ", x,y,z)

 Dist:= distance(x,z) = 5

 if(cp_post(Dist)) then
  writeln("Distance between x and z: ", x,y,z)
 else
  writeln("Problem is infeasible")
 end-if

 cp_show_prob

end-model

Related topics
distance

Parent Topic Constraints

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