fmcmap/tp047r.map


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fmcTitle("tp047r"):
# 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:
lbx5 := 6/5:
fmcInitialValue('x_1', 2):
fmcInitialValue('x_2', sqrt(2)):
fmcInitialValue('x_3', -1):
fmcInitialValue('x_4', 2 - sqrt(2)):
fmcInitialValue('x_5', 1/2):
fmcStrongLowerBound('x_5', lbx5):
myminfun := (x_1 - x_2)^2 + (x_2 - x_3)^3 + (x_3 - x_4)^4 + (x_4 - x_5)^4:
myabsdevnod0_0 := myownabs(myminfun + 0.02671418269394084):
myreldevnod0_0 := myownabs(myminfun/0.02671418269394084 + 1):
myabsdevnod0_1 := myownabs(x_1 - 0.6770043948666402):
myreldevnod0_1 := myownabs(x_1/0.6770043948666402 - 1):
myabsdevnod0_2 := myownabs(x_2 - 0.726089472652032):
myreldevnod0_2 := myownabs(x_2/0.726089472652032 - 1):
myabsdevnod0_3 := myownabs(x_3 - 1.215491214237097):
myreldevnod0_3 := myownabs(x_3/1.215491214237097 - 1):
myabsdevnod0_4 := myownabs(x_4 - 1.751329419235542):
myreldevnod0_4 := myownabs(x_4/1.751329419235542 - 1):
myabsdevnod0_5 := myownabs(x_5 - 1.477095285617732):
myreldevnod0_5 := myownabs(x_5/1.477095285617732 - 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)):
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 := myabsdevnod1_4:
myreldevnod2_4 := myreldevnod1_4:
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):
fmcEquality('ce_1', x_1 + x_2^2 + x_3^3 - 3):
fmcEquality('ce_2', x_2 - x_3^2 + x_4 - 1):
fmcEquality('ce_3', x_1*x_5 - 1):
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('myminfun', myminfun):
fmcEscortFloat('zmyabsdevmax', zmyabsdevmax):
fmcEscortFloat('zmyreldevmax', zmyreldevmax):
fmcControlMinimum(1, 0):
# End Model

Stephan K.H. Seidl