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fmcTitle("tp124"):
# Source version 2
# Simple APM canonicalizer version 1.3
# FMCMAP backend version 1.2
myownabs := proc(x::algebraic) return(fmc_m_abs(x)): end proc:
mypi := 4*atan(1):
c2 := 2:
c3 := 3:
c10 := 10:
c20 := 20:
c1000 := 1000:
c100000 := 100000:
g := 980665/c100000:
masstot := 50/c1000:
rrough := (masstot/((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:
distac := sqrt(x_4^2 + x_7^2 + (x_10 - rcage)^2):
distgc := sqrt(x_5^2 + x_8^2 + (x_11 - rcage)^2):
distic := sqrt(x_6^2 + x_9^2 + (x_12 - rcage)^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 := g*(massa*x_10 + massg*x_11 + massi*x_12):
c_1 := x_8 + x_2/c10:
c_2 := massa + massg + massi - masstot:
c_3 := (rcage - x_1) - distac:
c_4 := (rcage - x_2) - distgc:
c_5 := (rcage - x_3) - distic:
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