# Model tp065 # Source version 1 # Simple APM canonicalizer version 1.3 # AMPL backend version 1.1 var x_1 >= -4.5, <= 4.5; let x_1 := -5; var x_2 >= -4.5, <= 4.5; let x_2 := 5; var x_3 >= -5, <= 5; let x_3 := 0; var myminfun = (x_1 - x_2)^2 + (x_1 + x_2 - 10)^2/9 + (x_3 - 5)^2; var myabsdevnod0_0 = abs(myminfun - 0.9535288568047828); var myreldevnod0_0 = abs(myminfun/0.9535288568047828 - 1); var myabsdevnod0_1 = abs(x_1 - 3.650461725213036); var myreldevnod0_1 = abs(x_1/3.650461725213036 - 1); var myabsdevnod0_2 = abs(x_2 - 3.650461725213036); var myreldevnod0_2 = abs(x_2/3.650461725213036 - 1); var myabsdevnod0_3 = abs(x_3 - 4.620417555320009); var myreldevnod0_3 = abs(x_3/4.620417555320009 - 1); var myabsdevnod1_0 = (1/2)*(abs(myabsdevnod0_0 - myabsdevnod0_1) + (myabsdevnod0_0 + myabsdevnod0_1)); var myreldevnod1_0 = (1/2)*(abs(myreldevnod0_0 - myreldevnod0_1) + (myreldevnod0_0 + myreldevnod0_1)); var myabsdevnod1_2 = (1/2)*(abs(myabsdevnod0_2 - myabsdevnod0_3) + (myabsdevnod0_2 + myabsdevnod0_3)); var myreldevnod1_2 = (1/2)*(abs(myreldevnod0_2 - myreldevnod0_3) + (myreldevnod0_2 + myreldevnod0_3)); var myabsdevnod2_0 = (1/2)*(abs(myabsdevnod1_0 - myabsdevnod1_2) + (myabsdevnod1_0 + myabsdevnod1_2)); var myreldevnod2_0 = (1/2)*(abs(myreldevnod1_0 - myreldevnod1_2) + (myreldevnod1_0 + myreldevnod1_2)); var zmyabsdevmax = myabsdevnod2_0; var zmyreldevmax = myreldevnod2_0; minimize obj: myminfun; subject to ci_1: 48 - x_1^2 - x_2^2 - x_3^2 >= 0; solve; display x_1; display x_2; display x_3; display myminfun; display zmyabsdevmax; display zmyreldevmax; # End Model