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# Model tp032 # Source version 1 # Simple APM canonicalizer version 1.3 # AMPL backend version 1.1 var x_1 >= 0; let x_1 := 0.1; var x_2 >= 0; let x_2 := 0.7; var x_3 >= 0; let x_3 := 0.2; var myminfun = (x_1 + 3*x_2 + x_3)^2 + 4*(x_1 - x_2)^2; var myabsdevnod0_0 = abs(myminfun - 1); var myreldevnod0_0 = abs(myminfun - 1); var myabsdevnod0_1 = abs(x_1); var myreldevnod0_1 = abs(x_1); var myabsdevnod0_2 = abs(x_2); var myreldevnod0_2 = abs(x_2); var myabsdevnod0_3 = abs(x_3 - 1); var myreldevnod0_3 = abs(x_3 - 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 ce_1: 1 - x_1 - x_2 - x_3 = 0; subject to ci_1: 6*x_2 + 4*x_3 - x_1^3 - 3 >= 0; solve; display x_1; display x_2; display x_3; display myminfun; display zmyabsdevmax; display zmyreldevmax; # End Model