# Model tp087r1 # Source version 7 # Simple APM canonicalizer version 1.3 # AMPL backend version 1.1 param bv1 := 1.48477; param bv2 := 1.48577; param bv := bv1; param ubx5hsv1 := 1000; param ubx5hsv2 := 10000; param ubx5hsv := ubx5hsv1; param a := 131.078; param b := bv; param c := 0.90798; param arg := 1.47588; param d := cos(arg); param e := sin(arg); param ivx5hs := 198.175; param lbx5hs := -1000; param lbx5r := -18; param lbx5 := lbx5r; param ubx5hs := ubx5hsv; param ubx5r := -10.7; param ubx5 := ubx5r; param ivx5 := (1/2)*(ivx5hs + ubx5 - abs(ivx5hs - ubx5)); param midget := 2.0e-38; param c2 := 2; param c4 := 4; param c8 := 8; param c16 := 16; param ct10 := -2186927100809997/c16; param ct11 := 9112324500347/c4; param ct12 := -121498919997/c8; param ct13 := 101249775/c2; param ct14 := -1350001/c16; param ct15 := 225/c4; param ct20 := -2999100089997/c16; param ct21 := 37493500189/c4; param ct22 := -1499879997/c8; param ct23 := 3749925/c2; param ct24 := -150001/c16; param ct25 := 75/c4; param ct30 := -191985600359997/c16; param ct31 := 299987000067; param ct32 := -23999519997/c8; param ct33 := 14999925; param ct34 := -600001/c16; param ct35 := 75/c2; param sign1_0 := 1; param sign1_3 := -1; param sign2_0 := 1; param sign2_5 := -1; var x_1 >= 0, <= 400; let x_1 := 390; var x_2 >= 0, <= 1000; let x_2 := 1000; var x_3 >= 340, <= 420; let x_3 := 419.5; var x_4 >= 340, <= 420; let x_4 := 340.5; var x_5 >= lbx5, <= ubx5; let x_5 := ivx5; var x_6 >= 0, <= 0.5236; let x_6 := 0.5; var cons_1 = 300 - x_1 - x_3*x_4*cos(b - x_6)/a + c*d*x_3^2/a; var cons_2 = (-1)*x_2 - x_3*x_4*cos(b + x_6)/a + c*d*x_4^2/a; var cons_3 = (-1)*x_5 - x_3*x_4*sin(b + x_6)/a + c*e*x_4^2/a; var cons_4 = 200 - x_3*x_4*sin(b - x_6)/a + c*e*x_3^2/a; var comp1_1 = x_1 - 299; var comp1_2 = x_1 - 301; var comp2_1 = x_2 - 99; var comp2_2 = x_2 - 101; var comp2_3 = x_2 - 199; var comp2_4 = x_2 - 201; var sign1x_1 = comp1_1/sqrt(comp1_1^2 + midget); var sign1x_2 = comp1_2/sqrt(comp1_2^2 + midget); var sign2x_1 = comp2_1/sqrt(comp2_1^2 + midget); var sign2x_2 = comp2_2/sqrt(comp2_2^2 + midget); var sign2x_3 = comp2_3/sqrt(comp2_3^2 + midget); var sign2x_4 = comp2_4/sqrt(comp2_4^2 + midget); var sign1_1 = sign1x_1; var sign1_2 = sign1x_2; var sign2_1 = sign2x_1; var sign2_2 = sign2x_2; var sign2_3 = sign2x_3; var sign2_4 = sign2x_4; var step1_1 = (1 + sign1_0)*(1 - sign1_1)/4; var step1_2 = (1 + sign1_1)*(1 - sign1_2)/4; var step1_3 = (1 + sign1_2)*(1 - sign1_3)/4; var step2_1 = (1 + sign2_0)*(1 - sign2_1)/4; var step2_2 = (1 + sign2_1)*(1 - sign2_2)/4; var step2_3 = (1 + sign2_2)*(1 - sign2_3)/4; var step2_4 = (1 + sign2_3)*(1 - sign2_4)/4; var step2_5 = (1 + sign2_4)*(1 - sign2_5)/4; var f1_1 = 30*x_1; var f1_2 = (((((ct15)*x_1 + ct14)*x_1 + ct13)*x_1 + ct12)*x_1 + ct11)*x_1 + ct10; var f1_3 = 31*x_1; var f2_1 = 28*x_2; var f2_2 = (((((ct25)*x_2 + ct24)*x_2 + ct23)*x_2 + ct22)*x_2 + ct21)*x_2 + ct20; var f2_3 = 29*x_2; var f2_4 = (((((ct35)*x_2 + ct34)*x_2 + ct33)*x_2 + ct32)*x_2 + ct31)*x_2 + ct30; var f2_5 = 30*x_2; var f1comb_1 = f1_1*step1_1; var f1comb_2 = f1comb_1 + f1_2*step1_2; var f1comb_3 = f1comb_2 + f1_3*step1_3; var f2comb_1 = f2_1*step2_1; var f2comb_2 = f2comb_1 + f2_2*step2_2; var f2comb_3 = f2comb_2 + f2_3*step2_3; var f2comb_4 = f2comb_3 + f2_4*step2_4; var f2comb_5 = f2comb_4 + f2_5*step2_5; var mf = f1comb_3 + f2comb_5; var myminfun = mf; var myabsdevnod0_0 = abs(myminfun - 8854.997011124169); var myreldevnod0_0 = abs(myminfun/8854.997011124169 - 1); var myabsdevnod0_1 = abs(x_1 - 202.7039339773582); var myreldevnod0_1 = abs(x_1/202.7039339773582 - 1); var myabsdevnod0_2 = abs(x_2 - 99.06588958062389); var myreldevnod0_2 = abs(x_2/99.06588958062389 - 1); var myabsdevnod0_3 = abs(x_3 - 383.1404626009829); var myreldevnod0_3 = abs(x_3/383.1404626009829 - 1); var myabsdevnod0_4 = abs(x_4 - 420); var myreldevnod0_4 = abs(x_4/420 - 1); var myabsdevnod0_5 = abs(x_5 + 11.11782763722497); var myreldevnod0_5 = abs(x_5/11.11782763722497 + 1); var myabsdevnod0_6 = abs(x_6 - 0.07238952863601766); var myreldevnod0_6 = abs(x_6/0.07238952863601766 - 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 = (1/2)*(abs(myabsdevnod0_4 - myabsdevnod0_5) + (myabsdevnod0_4 + myabsdevnod0_5)); var myreldevnod1_4 = (1/2)*(abs(myreldevnod0_4 - myreldevnod0_5) + (myreldevnod0_4 + myreldevnod0_5)); var myabsdevnod1_6 = myabsdevnod0_6; var myreldevnod1_6 = myreldevnod0_6; 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 = (1/2)*(abs(myabsdevnod1_4 - myabsdevnod1_6) + (myabsdevnod1_4 + myabsdevnod1_6)); var myreldevnod2_4 = (1/2)*(abs(myreldevnod1_4 - myreldevnod1_6) + (myreldevnod1_4 + myreldevnod1_6)); 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: cons_1 = 0; subject to ce_2: cons_2 = 0; subject to ce_3: cons_3 = 0; subject to ce_4: cons_4 = 0; solve; display x_1; display x_2; display x_3; display x_4; display x_5; display x_6; display myminfun; display zmyabsdevmax; display zmyreldevmax; # End Model