If Cut/Copy and Paste fails, then click here for download.
# Model tp120 # Source version 2 # Simple APM canonicalizer version 1.3 # AMPL backend version 1.1 param mypi := 4*atan(1); param c2 := 2; param c3 := 3; param c10 := 10; param c20 := 20; param c1000 := 1000; param c100000 := 100000; param g := 980665/c100000; param masstot := 50/c1000; param rrough := (masstot/((2700 + 19300 + 7860)*(4/c3)*mypi))^(1/c3); param rcage := 1/c10; var x_1; let x_1 := rrough; var x_2; let x_2 := rrough; var x_3; let x_3 := rrough; var x_4; let x_4 := (-1)/c20; var x_5; let x_5 := 1/c20; var x_6; let x_6 := (-1)/c20; var x_7; let x_7 := (-1)/c20; var x_8; let x_8 := (-1)*rrough/c10; var x_9; let x_9 := 1/c20; var x_10; let x_10 := 1/c10; var x_11; let x_11 := 1/c10; var x_12; let x_12 := 1/c10; var massa = 2700*(4/c3)*mypi*x_1^3; var massg = 19300*(4/c3)*mypi*x_2^3; var massi = 7860*(4/c3)*mypi*x_3^3; var distac = sqrt(x_4^2 + x_7^2 + (x_10 - rcage)^2); var distgc = sqrt(x_5^2 + x_8^2 + (x_11 - rcage)^2); var distic = sqrt(x_6^2 + x_9^2 + (x_12 - rcage)^2); var distag = sqrt((x_4 - x_5)^2 + (x_7 - x_8)^2 + (x_10 - x_11)^2); var distgi = sqrt((x_5 - x_6)^2 + (x_8 - x_9)^2 + (x_11 - x_12)^2); var distia = sqrt((x_6 - x_4)^2 + (x_9 - x_7)^2 + (x_12 - x_10)^2); var rsumag = x_1 + x_2; var rsumgi = x_2 + x_3; var rsumia = x_3 + x_1; var mf = g*(massa*x_10 + massg*x_11 + massi*x_12); var c_1 = x_8 + x_2/c10; var c_2 = massa + massg + massi - masstot; var c_3 = (rcage - x_1) - distac; var c_4 = (rcage - x_2) - distgc; var c_5 = (rcage - x_3) - distic; var c_6 = distag - rsumag; var c_7 = distgi - rsumgi; var c_8 = distia - rsumia; var c_9 = (-1)*(x_4 + x_1/c10); var c_10 = x_5 - x_2/c10; var c_11 = (-1)*(x_6 + x_3/c10); var c_12 = (-1)*(x_7 + x_1/c10); var c_13 = x_9 - x_3/c10; var c_14 = x_1 - x_2/c2; var c_15 = x_1 - x_3/c2; var c_16 = x_2 - x_1/c2; var c_17 = x_2 - x_3/c2; var c_18 = x_3 - x_1/c2; var c_19 = x_3 - x_2/c2; var myminfun = mf; var myabsdevnod0_0 = abs(myminfun - 0.003748448926892757); var myreldevnod0_0 = abs(myminfun/0.003748448926892757 - 1); var myabsdevnod0_1 = abs(x_1 - 0.006880225167214264); var myreldevnod0_1 = abs(x_1/0.006880225167214264 - 1); var myabsdevnod0_2 = abs(x_2 - 0.007557877754559033); var myreldevnod0_2 = abs(x_2/0.007557877754559033 - 1); var myabsdevnod0_3 = abs(x_3 - 0.007025116248247118); var myreldevnod0_3 = abs(x_3/0.007025116248247118 - 1); var myabsdevnod0_4 = abs(x_4 + 0.008109269192985781); var myreldevnod0_4 = abs(x_4/0.008109269192985781 + 1); var myabsdevnod0_5 = abs(x_5 - 0.003933807693760132); var myreldevnod0_5 = abs(x_5/0.003933807693760132 - 1); var myabsdevnod0_6 = abs(x_6 + 0.009411021460678573); var myreldevnod0_6 = abs(x_6/0.009411021460678573 + 1); var myabsdevnod0_7 = abs(x_7 + 0.008719650850600085); var myreldevnod0_7 = abs(x_7/0.008719650850600085 + 1); var myabsdevnod0_8 = abs(x_8 + 0.0007557877754559033); var myreldevnod0_8 = abs(x_8/0.0007557877754559033 + 1); var myabsdevnod0_9 = abs(x_9 - 0.005124624533619279); var myreldevnod0_9 = abs(x_9/0.005124624533619279 - 1); var myabsdevnod0_10 = abs(x_10 - 0.007644708288544523); var myreldevnod0_10 = abs(x_10/0.007644708288544523 - 1); var myabsdevnod0_11 = abs(x_11 - 0.007644708288544523); var myreldevnod0_11 = abs(x_11/0.007644708288544523 - 1); var myabsdevnod0_12 = abs(x_12 - 0.007644708288544523); var myreldevnod0_12 = abs(x_12/0.007644708288544523 - 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 = (1/2)*(abs(myabsdevnod0_6 - myabsdevnod0_7) + (myabsdevnod0_6 + myabsdevnod0_7)); var myreldevnod1_6 = (1/2)*(abs(myreldevnod0_6 - myreldevnod0_7) + (myreldevnod0_6 + myreldevnod0_7)); var myabsdevnod1_8 = (1/2)*(abs(myabsdevnod0_8 - myabsdevnod0_9) + (myabsdevnod0_8 + myabsdevnod0_9)); var myreldevnod1_8 = (1/2)*(abs(myreldevnod0_8 - myreldevnod0_9) + (myreldevnod0_8 + myreldevnod0_9)); var myabsdevnod1_10 = (1/2)*(abs(myabsdevnod0_10 - myabsdevnod0_11) + (myabsdevnod0_10 + myabsdevnod0_11)); var myreldevnod1_10 = (1/2)*(abs(myreldevnod0_10 - myreldevnod0_11) + (myreldevnod0_10 + myreldevnod0_11)); var myabsdevnod1_12 = myabsdevnod0_12; var myreldevnod1_12 = myreldevnod0_12; 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 myabsdevnod2_8 = (1/2)*(abs(myabsdevnod1_8 - myabsdevnod1_10) + (myabsdevnod1_8 + myabsdevnod1_10)); var myreldevnod2_8 = (1/2)*(abs(myreldevnod1_8 - myreldevnod1_10) + (myreldevnod1_8 + myreldevnod1_10)); var myabsdevnod2_12 = myabsdevnod1_12; var myreldevnod2_12 = myreldevnod1_12; 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 myabsdevnod3_8 = (1/2)*(abs(myabsdevnod2_8 - myabsdevnod2_12) + (myabsdevnod2_8 + myabsdevnod2_12)); var myreldevnod3_8 = (1/2)*(abs(myreldevnod2_8 - myreldevnod2_12) + (myreldevnod2_8 + myreldevnod2_12)); var myabsdevnod4_0 = (1/2)*(abs(myabsdevnod3_0 - myabsdevnod3_8) + (myabsdevnod3_0 + myabsdevnod3_8)); var myreldevnod4_0 = (1/2)*(abs(myreldevnod3_0 - myreldevnod3_8) + (myreldevnod3_0 + myreldevnod3_8)); var zmyabsdevmax = myabsdevnod4_0; var zmyreldevmax = myreldevnod4_0; minimize obj: myminfun; subject to ce_1: c_1 = 0; subject to ce_2: c_2 = 0; subject to ci_1: c_3 >= 0; subject to ci_2: c_4 >= 0; subject to ci_3: c_5 >= 0; subject to ci_4: c_6 >= 0; subject to ci_5: c_7 >= 0; subject to ci_6: c_8 >= 0; subject to ci_7: c_9 >= 0; subject to ci_8: c_10 >= 0; subject to ci_9: c_11 >= 0; subject to ci_10: c_12 >= 0; subject to ci_11: c_13 >= 0; subject to ci_12: c_14 >= 0; subject to ci_13: c_15 >= 0; subject to ci_14: c_16 >= 0; subject to ci_15: c_17 >= 0; subject to ci_16: c_18 >= 0; subject to ci_17: c_19 >= 0; solve; display x_1; display x_2; display x_3; display x_4; display x_5; display x_6; display x_7; display x_8; display x_9; display x_10; display x_11; display x_12; display myminfun; display zmyabsdevmax; display zmyreldevmax; # End Model