Model tp108r ! Source version 1 ! Simple APM canonicalizer version 1.3 ! APM backend version 1.1 Parameters mfcorrhs = 0 End Parameters Variables x_1 = 1 x_2 = 1 x_3 = 1 x_4 = 1 x_5 = 1 x_6 = 1 x_7 = 1 x_8 = 1 x_9 = 1, >= 0 obj End Variables Intermediates c_1 = 1 - x_3^2 - x_4^2 c_2 = 1 - x_9^2 c_3 = 1 - x_5^2 - x_6^2 c_4 = 1 - x_1^2 - (x_2 - x_9)^2 c_5 = 1 - (x_1 - x_5)^2 - (x_2 - x_6)^2 c_6 = 1 - (x_1 - x_7)^2 - (x_2 - x_8)^2 c_7 = 1 - (x_3 - x_5)^2 - (x_4 - x_6)^2 c_8 = 1 - (x_3 - x_7)^2 - (x_4 - x_8)^2 c_9 = 1 - x_7^2 - (x_8 - x_9)^2 c_10 = x_1*x_4 - x_2*x_3 c_11 = x_3*x_9 c_12 = (-1)*x_5*x_9 c_13 = x_5*x_8 - x_6*x_7 mf = (-1/2)*(x_1*x_4 - x_2*x_3 + x_3*x_9 - x_5*x_9 + x_5*x_8 - x_6*x_7) mfcorrr = (3*x_1 - 2*x_2)^2 + (3*x_5 - 2*x_6)^2 myminfun = mf + mfcorrr myabsdevnod0_0 = abs(myminfun + 0.8660254037844386) myreldevnod0_0 = abs(myminfun/0.8660254037844386 + 1) myabsdevnod0_1 = abs(x_1 - 0.5547001962252291) myreldevnod0_1 = abs(x_1/0.5547001962252291 - 1) myabsdevnod0_2 = abs(x_2 - 0.8320502943378437) myreldevnod0_2 = abs(x_2/0.8320502943378437 - 1) myabsdevnod0_3 = abs(x_3 + 0.4432265940102775) myreldevnod0_3 = abs(x_3/0.4432265940102775 + 1) myabsdevnod0_4 = abs(x_4 - 0.8964096085841832) myreldevnod0_4 = abs(x_4/0.8964096085841832 - 1) myabsdevnod0_5 = abs(x_5 - 0.5547001962252291) myreldevnod0_5 = abs(x_5/0.5547001962252291 - 1) myabsdevnod0_6 = abs(x_6 - 0.8320502943378437) myreldevnod0_6 = abs(x_6/0.8320502943378437 - 1) myabsdevnod0_7 = abs(x_7 + 0.4432265940102775) myreldevnod0_7 = abs(x_7/0.4432265940102775 + 1) myabsdevnod0_8 = abs(x_8 - 0.8964096085841832) myreldevnod0_8 = abs(x_8/0.8964096085841832 - 1) myabsdevnod0_9 = abs(x_9) myreldevnod0_9 = abs(x_9) 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)) myabsdevnod1_6 = (1/2)*(abs(myabsdevnod0_6 - myabsdevnod0_7) + (myabsdevnod0_6 + myabsdevnod0_7)) myreldevnod1_6 = (1/2)*(abs(myreldevnod0_6 - myreldevnod0_7) + (myreldevnod0_6 + myreldevnod0_7)) myabsdevnod1_8 = (1/2)*(abs(myabsdevnod0_8 - myabsdevnod0_9) + (myabsdevnod0_8 + myabsdevnod0_9)) myreldevnod1_8 = (1/2)*(abs(myreldevnod0_8 - myreldevnod0_9) + (myreldevnod0_8 + myreldevnod0_9)) 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 = (1/2)*(abs(myabsdevnod1_4 - myabsdevnod1_6) + (myabsdevnod1_4 + myabsdevnod1_6)) myreldevnod2_4 = (1/2)*(abs(myreldevnod1_4 - myreldevnod1_6) + (myreldevnod1_4 + myreldevnod1_6)) myabsdevnod2_8 = myabsdevnod1_8 myreldevnod2_8 = myreldevnod1_8 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)) myabsdevnod3_8 = myabsdevnod2_8 myreldevnod3_8 = myreldevnod2_8 myabsdevnod4_0 = (1/2)*(abs(myabsdevnod3_0 - myabsdevnod3_8) + (myabsdevnod3_0 + myabsdevnod3_8)) myreldevnod4_0 = (1/2)*(abs(myreldevnod3_0 - myreldevnod3_8) + (myreldevnod3_0 + myreldevnod3_8)) zmyabsdevmax = myabsdevnod4_0 zmyreldevmax = myreldevnod4_0 End Intermediates Equations obj = myminfun c_1 >= 0 c_2 >= 0 c_3 >= 0 c_4 >= 0 c_5 >= 0 c_6 >= 0 c_7 >= 0 c_8 >= 0 c_9 >= 0 c_10 >= 0 c_11 >= 0 c_12 >= 0 c_13 >= 0 End Equations End Model