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fmcTitle("tp005"):
# 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:
fmcInitialValue('x_1', 0):
fmcStrongLowerBound('x_1', -1.5):
fmcStrongUpperBound('x_1', 4):
fmcInitialValue('x_2', 0):
fmcStrongLowerBound('x_2', -3):
fmcStrongUpperBound('x_2', 3):
myminfun := sin(x_1 + x_2) + (x_1 - x_2)^2 - 1.5*x_1 + 2.5*x_2 + 1:
myabsdevnod0_0 := myownabs(myminfun + 1.913222954981036):
myreldevnod0_0 := myownabs(myminfun/1.913222954981036 + 1):
myabsdevnod0_1 := myownabs(x_1 + 0.5471975511965977):
myreldevnod0_1 := myownabs(x_1/0.5471975511965977 + 1):
myabsdevnod0_2 := myownabs(x_2 + 1.547197551196598):
myreldevnod0_2 := myownabs(x_2/1.547197551196598 + 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):
fmcEscortFloat('x_1', x_1):
fmcEscortFloat('x_2', x_2):
fmcEscortFloat('myminfun', myminfun):
fmcEscortFloat('zmyabsdevmax', zmyabsdevmax):
fmcEscortFloat('zmyreldevmax', zmyreldevmax):
fmcControlMinimum(1, 0):
# End Model