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# Model tp040r # Source version 1 # Simple APM canonicalizer version 1.3 # AMPL backend version 1.1 param lbx3 := 0; var x_1; let x_1 := 0.8; var x_2; let x_2 := 0.8; var x_3 >= lbx3; let x_3 := 0.8; var x_4; let x_4 := 0.8; var myminfun = -x_1*x_2*x_3*x_4; var myabsdevnod0_0 = abs(myminfun + 0.25); var myreldevnod0_0 = abs(myminfun/0.25 + 1); var myabsdevnod0_1 = abs(x_1 - 0.7937005259840997); var myreldevnod0_1 = abs(x_1/0.7937005259840997 - 1); var myabsdevnod0_2 = abs(x_2 - 0.7071067811865475); var myreldevnod0_2 = abs(x_2/0.7071067811865475 - 1); var myabsdevnod0_3 = abs(x_3 - 0.5297315471796476); var myreldevnod0_3 = abs(x_3/0.5297315471796476 - 1); var myabsdevnod0_4 = abs(x_4 - 0.8408964152537145); var myreldevnod0_4 = abs(x_4/0.8408964152537145 - 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 myabsdevnod1_4 = myabsdevnod0_4; var myreldevnod1_4 = myreldevnod0_4; 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 myabsdevnod2_4 = myabsdevnod1_4; var myreldevnod2_4 = myreldevnod1_4; var myabsdevnod3_0 = (1/2)*(abs(myabsdevnod2_0 - myabsdevnod2_4) + (myabsdevnod2_0 + myabsdevnod2_4)); var myreldevnod3_0 = (1/2)*(abs(myreldevnod2_0 - myreldevnod2_4) + (myreldevnod2_0 + myreldevnod2_4)); var zmyabsdevmax = myabsdevnod3_0; var zmyreldevmax = myreldevnod3_0; minimize obj: myminfun; subject to ce_1: x_1^3 + x_2^2 - 1 = 0; subject to ce_2: x_1^2*x_4 - x_3 = 0; subject to ce_3: x_4^2 - x_2 = 0; solve; display x_1; display x_2; display x_3; display x_4; display myminfun; display zmyabsdevmax; display zmyreldevmax; # End Model