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fmcTitle("tp124"):
# Source version 1
# Simple APM canonicalizer version 1.3
# FMCMAP back end version 1.1
asin := proc(x::algebraic) local y: y := arcsin(x): RETURN(y): end:
atan := proc(x::algebraic) local y: y := arctan(x): RETURN(y): end:
myownabs := proc(x::algebraic) local y: y := fmc_m_abs(x): RETURN(y): end:
mypi := 4*atan(1):
c2 := 2:
c3 := 3:
c10 := 10:
c20 := 20:
c1000 := 1000:
c100000 := 100000:
rrough := ((50/c1000)/((2700 + 19300 + 7860)*(4/c3)*mypi))^(1/c3):
rcage := c10:
fmcInitialValue('x_1', rrough):
fmcInitialValue('x_2', rrough):
fmcInitialValue('x_3', rrough):
fmcInitialValue('x_4', (-1)/c20):
fmcInitialValue('x_5', 1/c20):
fmcInitialValue('x_6', (-1)/c20):
fmcInitialValue('x_7', (-1)/c20):
fmcInitialValue('x_8', (-1)*rrough/c10):
fmcInitialValue('x_9', 1/c20):
fmcInitialValue('x_10', 1/c10):
fmcInitialValue('x_11', 1/c10):
fmcInitialValue('x_12', 1/c10):
massa := 2700*(4/c3)*mypi*x_1^3:
massg := 19300*(4/c3)*mypi*x_2^3:
massi := 7860*(4/c3)*mypi*x_3^3:
dista0p2 := x_4^2 + x_7^2 + x_10^2:
distg0p2 := x_5^2 + x_8^2 + x_11^2:
disti0p2 := x_6^2 + x_9^2 + x_12^2:
distag := sqrt((x_4 - x_5)^2 + (x_7 - x_8)^2 + (x_10 - x_11)^2):
distgi := sqrt((x_5 - x_6)^2 + (x_8 - x_9)^2 + (x_11 - x_12)^2):
distia := sqrt((x_6 - x_4)^2 + (x_9 - x_7)^2 + (x_12 - x_10)^2):
rsumag := x_1 + x_2:
rsumgi := x_2 + x_3:
rsumia := x_3 + x_1:
mf := (980665/c100000)*(massa*x_10 + massg*x_11 + massi*x_12):
c_1 := x_8 + x_2/c10:
c_2 := massa + massg + massi - 50/c1000:
c_3 := (x_1^2 + 2*rcage*(x_10 - x_1) - dista0p2)/rrough:
c_4 := (x_2^2 + 2*rcage*(x_11 - x_2) - distg0p2)/rrough:
c_5 := (x_3^2 + 2*rcage*(x_12 - x_3) - disti0p2)/rrough:
c_6 := distag - rsumag:
c_7 := distgi - rsumgi:
c_8 := distia - rsumia:
c_9 := (-1)*(x_4 + x_1/c10):
c_10 := x_5 - x_2/c10:
c_11 := (-1)*(x_6 + x_3/c10):
c_12 := (-1)*(x_7 + x_1/c10):
c_13 := x_9 - x_3/c10:
c_14 := x_1 - x_2/c2:
c_15 := x_1 - x_3/c2:
c_16 := x_2 - x_1/c2:
c_17 := x_2 - x_3/c2:
c_18 := x_3 - x_1/c2:
c_19 := x_3 - x_2/c2:
myminfun := mf:
myabsdevnod0_0 := myownabs(myminfun - 0.003613399978959025):
myreldevnod0_0 := myownabs(myminfun/0.003613399978959025 - 1):
myabsdevnod0_1 := myownabs(x_1 - 0.007362147911252038):
myreldevnod0_1 := myownabs(x_1/0.007362147911252038 - 1):
myabsdevnod0_2 := myownabs(x_2 - 0.007368187804536048):
myreldevnod0_2 := myownabs(x_2/0.007368187804536048 - 1):
myabsdevnod0_3 := myownabs(x_3 - 0.007364020066820026):
myreldevnod0_3 := myownabs(x_3/0.007364020066820026 - 1):
myabsdevnod0_4 := myownabs(x_4 + 0.007186816148083809):
myreldevnod0_4 := myownabs(x_4/0.007186816148083809 + 1):
myabsdevnod0_5 := myownabs(x_5 - 0.004624558029378723):
myreldevnod0_5 := myownabs(x_5/0.004624558029378723 - 1):
myabsdevnod0_6 := myownabs(x_6 + 0.008907886813874873):
myreldevnod0_6 := myownabs(x_6/0.008907886813874873 + 1):
myabsdevnod0_7 := myownabs(x_7 + 0.009538763471247417):
myreldevnod0_7 := myownabs(x_7/0.009538763471247417 + 1):
myabsdevnod0_8 := myownabs(x_8 + 0.0007368187804536048):
myreldevnod0_8 := myownabs(x_8/0.0007368187804536048 + 1):
myabsdevnod0_9 := myownabs(x_9 - 0.005086486580691817):
myreldevnod0_9 := myownabs(x_9/0.005086486580691817 - 1):
myabsdevnod0_10 := myownabs(x_10 - 0.007369285085037246):
myreldevnod0_10 := myownabs(x_10/0.007369285085037246 - 1):
myabsdevnod0_11 := myownabs(x_11 - 0.007369285085037246):
myreldevnod0_11 := myownabs(x_11/0.007369285085037246 - 1):
myabsdevnod0_12 := myownabs(x_12 - 0.007369285085037246):
myreldevnod0_12 := myownabs(x_12/0.007369285085037246 - 1):
myabsdevnod1_0 := (1/2)*(myownabs(myabsdevnod0_0 - myabsdevnod0_1) + (myabsdevnod0_0 + myabsdevnod0_1)):
myreldevnod1_0 := (1/2)*(myownabs(myreldevnod0_0 - myreldevnod0_1) + (myreldevnod0_0 + myreldevnod0_1)):
myabsdevnod1_2 := (1/2)*(myownabs(myabsdevnod0_2 - myabsdevnod0_3) + (myabsdevnod0_2 + myabsdevnod0_3)):
myreldevnod1_2 := (1/2)*(myownabs(myreldevnod0_2 - myreldevnod0_3) + (myreldevnod0_2 + myreldevnod0_3)):
myabsdevnod1_4 := (1/2)*(myownabs(myabsdevnod0_4 - myabsdevnod0_5) + (myabsdevnod0_4 + myabsdevnod0_5)):
myreldevnod1_4 := (1/2)*(myownabs(myreldevnod0_4 - myreldevnod0_5) + (myreldevnod0_4 + myreldevnod0_5)):
myabsdevnod1_6 := (1/2)*(myownabs(myabsdevnod0_6 - myabsdevnod0_7) + (myabsdevnod0_6 + myabsdevnod0_7)):
myreldevnod1_6 := (1/2)*(myownabs(myreldevnod0_6 - myreldevnod0_7) + (myreldevnod0_6 + myreldevnod0_7)):
myabsdevnod1_8 := (1/2)*(myownabs(myabsdevnod0_8 - myabsdevnod0_9) + (myabsdevnod0_8 + myabsdevnod0_9)):
myreldevnod1_8 := (1/2)*(myownabs(myreldevnod0_8 - myreldevnod0_9) + (myreldevnod0_8 + myreldevnod0_9)):
myabsdevnod1_10 := (1/2)*(myownabs(myabsdevnod0_10 - myabsdevnod0_11) + (myabsdevnod0_10 + myabsdevnod0_11)):
myreldevnod1_10 := (1/2)*(myownabs(myreldevnod0_10 - myreldevnod0_11) + (myreldevnod0_10 + myreldevnod0_11)):
myabsdevnod1_12 := myabsdevnod0_12:
myreldevnod1_12 := myreldevnod0_12:
myabsdevnod2_0 := (1/2)*(myownabs(myabsdevnod1_0 - myabsdevnod1_2) + (myabsdevnod1_0 + myabsdevnod1_2)):
myreldevnod2_0 := (1/2)*(myownabs(myreldevnod1_0 - myreldevnod1_2) + (myreldevnod1_0 + myreldevnod1_2)):
myabsdevnod2_4 := (1/2)*(myownabs(myabsdevnod1_4 - myabsdevnod1_6) + (myabsdevnod1_4 + myabsdevnod1_6)):
myreldevnod2_4 := (1/2)*(myownabs(myreldevnod1_4 - myreldevnod1_6) + (myreldevnod1_4 + myreldevnod1_6)):
myabsdevnod2_8 := (1/2)*(myownabs(myabsdevnod1_8 - myabsdevnod1_10) + (myabsdevnod1_8 + myabsdevnod1_10)):
myreldevnod2_8 := (1/2)*(myownabs(myreldevnod1_8 - myreldevnod1_10) + (myreldevnod1_8 + myreldevnod1_10)):
myabsdevnod2_12 := myabsdevnod1_12:
myreldevnod2_12 := myreldevnod1_12:
myabsdevnod3_0 := (1/2)*(myownabs(myabsdevnod2_0 - myabsdevnod2_4) + (myabsdevnod2_0 + myabsdevnod2_4)):
myreldevnod3_0 := (1/2)*(myownabs(myreldevnod2_0 - myreldevnod2_4) + (myreldevnod2_0 + myreldevnod2_4)):
myabsdevnod3_8 := (1/2)*(myownabs(myabsdevnod2_8 - myabsdevnod2_12) + (myabsdevnod2_8 + myabsdevnod2_12)):
myreldevnod3_8 := (1/2)*(myownabs(myreldevnod2_8 - myreldevnod2_12) + (myreldevnod2_8 + myreldevnod2_12)):
myabsdevnod4_0 := (1/2)*(myownabs(myabsdevnod3_0 - myabsdevnod3_8) + (myabsdevnod3_0 + myabsdevnod3_8)):
myreldevnod4_0 := (1/2)*(myownabs(myreldevnod3_0 - myreldevnod3_8) + (myreldevnod3_0 + myreldevnod3_8)):
zmyabsdevmax := myabsdevnod4_0:
zmyreldevmax := myreldevnod4_0:
obj := myminfun:
fmcMinimum(obj):
fmcEquality('ce_1', c_1):
fmcEquality('ce_2', c_2):
fmcInequality('ci_1', c_3):
fmcInequality('ci_2', c_4):
fmcInequality('ci_3', c_5):
fmcInequality('ci_4', c_6):
fmcInequality('ci_5', c_7):
fmcInequality('ci_6', c_8):
fmcInequality('ci_7', c_9):
fmcInequality('ci_8', c_10):
fmcInequality('ci_9', c_11):
fmcInequality('ci_10', c_12):
fmcInequality('ci_11', c_13):
fmcInequality('ci_12', c_14):
fmcInequality('ci_13', c_15):
fmcInequality('ci_14', c_16):
fmcInequality('ci_15', c_17):
fmcInequality('ci_16', c_18):
fmcInequality('ci_17', c_19):
fmcEscortFloat('x_1', x_1):
fmcEscortFloat('x_2', x_2):
fmcEscortFloat('x_3', x_3):
fmcEscortFloat('x_4', x_4):
fmcEscortFloat('x_5', x_5):
fmcEscortFloat('x_6', x_6):
fmcEscortFloat('x_7', x_7):
fmcEscortFloat('x_8', x_8):
fmcEscortFloat('x_9', x_9):
fmcEscortFloat('x_10', x_10):
fmcEscortFloat('x_11', x_11):
fmcEscortFloat('x_12', x_12):
fmcEscortFloat('myminfun', myminfun):
fmcEscortFloat('zmyabsdevmax', zmyabsdevmax):
fmcEscortFloat('zmyreldevmax', zmyreldevmax):
fmcControlMinimum(1, 0):
# End Model