apm/tp047r.apm


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Model tp047r
! Source version 1
! Simple APM canonicalizer version 1.3
! APM backend version 1.1
Parameters
lbx5 = 6/5
End Parameters
Variables
x_1 = 2
x_2 = sqrt(2)
x_3 = -1
x_4 = 2 - sqrt(2)
x_5 = 1/2, >= lbx5
obj
End Variables
Intermediates
myminfun = (x_1 - x_2)^2 + (x_2 - x_3)^3 + (x_3 - x_4)^4 + (x_4 - x_5)^4
myabsdevnod0_0 = abs(myminfun + 0.02671418269394084)
myreldevnod0_0 = abs(myminfun/0.02671418269394084 + 1)
myabsdevnod0_1 = abs(x_1 - 0.6770043948666402)
myreldevnod0_1 = abs(x_1/0.6770043948666402 - 1)
myabsdevnod0_2 = abs(x_2 - 0.726089472652032)
myreldevnod0_2 = abs(x_2/0.726089472652032 - 1)
myabsdevnod0_3 = abs(x_3 - 1.215491214237097)
myreldevnod0_3 = abs(x_3/1.215491214237097 - 1)
myabsdevnod0_4 = abs(x_4 - 1.751329419235542)
myreldevnod0_4 = abs(x_4/1.751329419235542 - 1)
myabsdevnod0_5 = abs(x_5 - 1.477095285617732)
myreldevnod0_5 = abs(x_5/1.477095285617732 - 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))
myabsdevnod1_4 = (1/2)*(abs(myabsdevnod0_4 - myabsdevnod0_5) + (myabsdevnod0_4 + myabsdevnod0_5))
myreldevnod1_4 = (1/2)*(abs(myreldevnod0_4 - myreldevnod0_5) + (myreldevnod0_4 + myreldevnod0_5))
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))
myabsdevnod2_4 = myabsdevnod1_4
myreldevnod2_4 = myreldevnod1_4
myabsdevnod3_0 = (1/2)*(abs(myabsdevnod2_0 - myabsdevnod2_4) + (myabsdevnod2_0 + myabsdevnod2_4))
myreldevnod3_0 = (1/2)*(abs(myreldevnod2_0 - myreldevnod2_4) + (myreldevnod2_0 + myreldevnod2_4))
zmyabsdevmax = myabsdevnod3_0
zmyreldevmax = myreldevnod3_0
End Intermediates
Equations
obj = myminfun
x_1 + x_2^2 + x_3^3 - 3 = 0
x_2 - x_3^2 + x_4 - 1 = 0
x_1*x_5 - 1 = 0
End Equations
End Model

Stephan K.H. Seidl