fmcmap/tp027.map


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fmcTitle("tp027"):
# 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', 2):
fmcInitialValue('x_2', 2):
fmcInitialValue('x_3', 2):
myminfun := (1/100)*(x_1 - 1)^2 + (x_2 - x_1^2)^2:
myabsdevnod0_0 := myownabs(myminfun - 0.04):
myreldevnod0_0 := myownabs(myminfun/0.04 - 1):
myabsdevnod0_1 := myownabs(x_1 + 1):
myreldevnod0_1 := myownabs(x_1 + 1):
myabsdevnod0_2 := myownabs(x_2 - 1):
myreldevnod0_2 := myownabs(x_2 - 1):
myabsdevnod0_3 := myownabs(x_3):
myreldevnod0_3 := myownabs(x_3):
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)):
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):
fmcEquality('ce_1', x_1 + x_3^2 + 1):
fmcEscortFloat('x_1', x_1):
fmcEscortFloat('x_2', x_2):
fmcEscortFloat('x_3', x_3):
fmcEscortFloat('myminfun', myminfun):
fmcEscortFloat('zmyabsdevmax', zmyabsdevmax):
fmcEscortFloat('zmyreldevmax', zmyreldevmax):
fmcControlMinimum(1, 0):
# End Model

Stephan K.H. Seidl