fmcmap/tp102.map


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fmcTitle("tp102"):
# Source version 1
# Simple APM canonicalizer version 1.3
# FMCMAP backend version 1.1
asin := proc(x::algebraic) local y: y := arcsin(x): return(y): end proc:
atan := proc(x::algebraic) local y: y := arctan(x): return(y): end proc:
myownabs := proc(x::algebraic) local y: y := fmc_m_abs(x): return(y): end proc:
a := 1/8:
fmcInitialValue(x_1, 6):
fmcStrongLowerBound(x_1, 1/10):
fmcStrongUpperBound(x_1, 10):
fmcInitialValue(x_2, 6):
fmcStrongLowerBound(x_2, 1/10):
fmcStrongUpperBound(x_2, 10):
fmcInitialValue(x_3, 6):
fmcStrongLowerBound(x_3, 1/10):
fmcStrongUpperBound(x_3, 10):
fmcInitialValue(x_4, 6):
fmcStrongLowerBound(x_4, 1/10):
fmcStrongUpperBound(x_4, 10):
fmcInitialValue(x_5, 6):
fmcStrongLowerBound(x_5, 1/10):
fmcStrongUpperBound(x_5, 10):
fmcInitialValue(x_6, 6):
fmcStrongLowerBound(x_6, 1/10):
fmcStrongUpperBound(x_6, 10):
fmcInitialValue(x_7, 6):
fmcStrongLowerBound(x_7, 1/100):
fmcStrongUpperBound(x_7, 10):
c_1 := 1 - (1/2)*x_1^(1/2)*x_3^(-1)*x_6^(-2)*x_7 - (7/10)*x_1^3*x_2*x_3^(-2)*x_6*x_7^(1/2) -
(2/10)*x_2^(-1)*x_3*x_4^(-1/2)*x_6^(2/3)* x_7^(1/4):
c_2 := 1 - (13/10)*x_1^(-1/2)*x_2*x_3^(-1)*x_5^(-1)* x_6 - (8/10)*x_3*x_4^(-1)*x_5^(-1)*x_6^2 -
(31/10)*x_1^(-1)*x_2^(1/2)*x_4^(-2)* x_5^(-1)*x_6^(1/3):
c_3 := 1 - 2*x_1*x_3^(-3/2)*x_5*x_6^(-1)*x_7^(1/3) - (1/10)*x_2*x_3^(-1/2)*x_5*x_6^(-1)* x_7^(-1/2) -
x_1^(-1)*x_2*x_3^(1/2)*x_5 - (65/100)*x_2^(-2)*x_3*x_5*x_6^(-1)*x_7:
c_4 := 1 - (2/10)*x_1^(-2)*x_2*x_4^(-1)*x_5^(1/2)* x_7^(1/3) - (3/10)*x_1^(1/2)*x_2^2*x_3*x_4^(1/3)*
x_7^(1/4)*x_5^(-2/3) - (4/10)*x_1^(-3)*x_2^(-2)*x_3*x_5* x_7^(3/4) - (1/2)*x_3^(-2)*x_4*x_7^(1/2):
mf := 10*x_1*x_2^(-1)*x_4^2*x_6^(-3)*x_7^a + 15*x_1^(-1)*x_2^(-2)*x_3*x_4*x_5^(-1)* x_7^(-1/2) +
20*x_1^(-2)*x_2*x_4^(-1)*x_5^(-2)*x_6 + 25*x_1^2*x_2^2*x_3^(-1)*x_5^(1/2)* x_6^(-2)*x_7:
c_5 := mf - 100:
c_6 := 3000 - mf:
myminfun := mf:
myabsdevnod0_0 := myownabs(myminfun - 911.8805714301084):
myreldevnod0_0 := myownabs(myminfun/911.8805714301084 - 1):
myabsdevnod0_1 := myownabs(x_1 - 3.89625319107028):
myreldevnod0_1 := myownabs(x_1/3.89625319107028 - 1):
myabsdevnod0_2 := myownabs(x_2 - 0.8093587601054144):
myreldevnod0_2 := myownabs(x_2/0.8093587601054144 - 1):
myabsdevnod0_3 := myownabs(x_3 - 2.664385993775489):
myreldevnod0_3 := myownabs(x_3/2.664385993775489 - 1):
myabsdevnod0_4 := myownabs(x_4 - 4.30091287479402):
myreldevnod0_4 := myownabs(x_4/4.30091287479402 - 1):
myabsdevnod0_5 := myownabs(x_5 - 0.8535549352485839):
myreldevnod0_5 := myownabs(x_5/0.8535549352485839 - 1):
myabsdevnod0_6 := myownabs(x_6 - 1.095287444576103):
myreldevnod0_6 := myownabs(x_6/1.095287444576103 - 1):
myabsdevnod0_7 := myownabs(x_7 - 0.02731045965771926):
myreldevnod0_7 := myownabs(x_7/0.02731045965771926 - 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)):
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)):
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)):
zmyabsdevmax := myabsdevnod3_0:
zmyreldevmax := myreldevnod3_0:
obj := myminfun:
fmcMinimum(obj):
fmcInequality(ci_1, c_1):
fmcInequality(ci_2, c_2):
fmcInequality(ci_3, c_3):
fmcInequality(ci_4, c_4):
fmcInequality(ci_5, c_5):
fmcInequality(ci_6, c_6):
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('myminfun', myminfun):
fmcEscortFloat('zmyabsdevmax', zmyabsdevmax):
fmcEscortFloat('zmyreldevmax', zmyreldevmax):
fmcControlMinimum(1, 0):
# End Model

Stephan K.H. Seidl