apm/tp081.apm


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Model tp081
! Source version 1
! Simple APM canonicalizer version 1.3
! APM back end version 1.1
Parameters
End Parameters
Variables
x_1 = -2, >= -2.3, <= 2.3
x_2 = 2, >= -2.3, <= 2.3
x_3 = 2, >= -3.2, <= 3.2
x_4 = -1, >= -3.2, <= 3.2
x_5 = -1, >= -3.2, <= 3.2
obj
End Variables
Intermediates
myminfun = exp(x_1*x_2*x_3*x_4*x_5) - (1/2)*(x_1^3 + x_2^3 + 1)^2
myabsdevnod0_0 = abs(myminfun - 0.05394984777027201)
myreldevnod0_0 = abs(myminfun/0.05394984777027201 - 1)
myabsdevnod0_1 = abs(x_1 + 1.717143570394382)
myreldevnod0_1 = abs(x_1/1.717143570394382 + 1)
myabsdevnod0_2 = abs(x_2 - 1.595709690183554)
myreldevnod0_2 = abs(x_2/1.595709690183554 - 1)
myabsdevnod0_3 = abs(x_3 - 1.827245752927195)
myreldevnod0_3 = abs(x_3/1.827245752927195 - 1)
myabsdevnod0_4 = abs(x_4 + 0.7636430781841304)
myreldevnod0_4 = abs(x_4/0.7636430781841304 + 1)
myabsdevnod0_5 = abs(x_5 + 0.7636430781841304)
myreldevnod0_5 = abs(x_5/0.7636430781841304 + 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_1^2 + x_2^2 + x_3^2 + x_4^2 + x_5^2 - 10 = 0
x_2*x_3 - 5*x_4*x_5 = 0
x_1^3 + x_2^3 + 1 = 0
End Equations
End Model

Stephan K.H. Seidl