Model tp065
! Source version 1
! Simple APM canonicalizer version 1.3
! APM backend version 1.1
Parameters
End Parameters
Variables
x_1 = -5, >= -4.5, <= 4.5
x_2 = 5, >= -4.5, <= 4.5
x_3 = 0, >= -5, <= 5
obj
End Variables
Intermediates
myminfun = (x_1 - x_2)^2 + (x_1 + x_2 - 10)^2/9 + (x_3 - 5)^2
myabsdevnod0_0 = abs(myminfun - 0.9535288568047828)
myreldevnod0_0 = abs(myminfun/0.9535288568047828 - 1)
myabsdevnod0_1 = abs(x_1 - 3.650461725213036)
myreldevnod0_1 = abs(x_1/3.650461725213036 - 1)
myabsdevnod0_2 = abs(x_2 - 3.650461725213036)
myreldevnod0_2 = abs(x_2/3.650461725213036 - 1)
myabsdevnod0_3 = abs(x_3 - 4.620417555320009)
myreldevnod0_3 = abs(x_3/4.620417555320009 - 1)
myabsdevnod1_0 = (1/2)*(abs(myabsdevnod0_0 - myabsdevnod0_1) + (myabsdevnod0_0 + myabsdevnod0_1))
myreldevnod1_0 = (1/2)*(abs(myreldevnod0_0 - myreldevnod0_1) + (myreldevnod0_0 + myreldevnod0_1))
myabsdevnod1_2 = (1/2)*(abs(myabsdevnod0_2 - myabsdevnod0_3) + (myabsdevnod0_2 + myabsdevnod0_3))
myreldevnod1_2 = (1/2)*(abs(myreldevnod0_2 - myreldevnod0_3) + (myreldevnod0_2 + myreldevnod0_3))
myabsdevnod2_0 = (1/2)*(abs(myabsdevnod1_0 - myabsdevnod1_2) + (myabsdevnod1_0 + myabsdevnod1_2))
myreldevnod2_0 = (1/2)*(abs(myreldevnod1_0 - myreldevnod1_2) + (myreldevnod1_0 + myreldevnod1_2))
zmyabsdevmax = myabsdevnod2_0
zmyreldevmax = myreldevnod2_0
End Intermediates
Equations
obj = myminfun
48 - x_1^2 - x_2^2 - x_3^2 >= 0
End Equations
End Model