fmcmap/tp059.map


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fmcTitle("tp059"):
# 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:
c20a := -0.12694:
c20b := 0:
c12a := -3.4054e-4:
c12b := -3.405e-4:
c20 := c20a:
c12 := c12a:
fmcInitialValue('x_1', 90):
fmcStrongLowerBound('x_1', 0):
fmcStrongUpperBound('x_1', 75):
fmcInitialValue('x_2', 10):
fmcStrongLowerBound('x_2', 0):
fmcStrongUpperBound('x_2', 65):
myminfun := (-75.196) + 3.8112*x_1 + c20*x_1^2 + 0.0020567*x_1^3 - 1.0345e-5*x_1^4 + 6.8306*x_2 -
0.030234*x_1*x_2 + 1.28134e-3*x_2*x_1^2 + 2.266e-7*x_1^4*x_2 - 0.25645*x_2^2 + 0.0034604*x_2^3 -
1.3514e-5*x_2^4 + 28.106/(x_2 + 1) + 5.2375e-6*x_1^2*x_2^2 + 6.3e-8*x_1^3*x_2^2 - 7e-10*x_1^3*x_2^3 +
c12*x_1*x_2^2 + 1.6638e-6*x_1*x_2^3 + 2.8673*exp(0.0005*x_1*x_2) - 3.5256e-5*x_1^3*x_2:
myabsdevnod0_0 := myownabs(myminfun + 7.804235953664777):
myreldevnod0_0 := myownabs(myminfun/7.804235953664777 + 1):
myabsdevnod0_1 := myownabs(x_1 - 13.55008884043414):
myreldevnod0_1 := myownabs(x_1/13.55008884043414 - 1):
myabsdevnod0_2 := myownabs(x_2 - 51.6601778957467):
myreldevnod0_2 := myownabs(x_2/51.6601778957467 - 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 := myabsdevnod0_2:
myreldevnod1_2 := myreldevnod0_2:
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)):
zmyabsdevmax := myabsdevnod2_0:
zmyreldevmax := myreldevnod2_0:
obj := myminfun:
fmcMinimum(obj):
fmcInequality('ci_1', x_1*x_2 - 700):
fmcInequality('ci_2', x_2 - x_1^2/125):
fmcInequality('ci_3', (x_2 - 50)^2 - 5*(x_1 - 55)):
fmcEscortFloat('x_1', x_1):
fmcEscortFloat('x_2', x_2):
fmcEscortFloat('myminfun', myminfun):
fmcEscortFloat('zmyabsdevmax', zmyabsdevmax):
fmcEscortFloat('zmyreldevmax', zmyreldevmax):
fmcControlMinimum(1, 0):
# End Model

Stephan K.H. Seidl