fmcmap/tp081.map


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fmcTitle("tp081"):
# 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):
fmcStrongLowerBound('x_1', -2.3):
fmcStrongUpperBound('x_1', 2.3):
fmcInitialValue('x_2', 2):
fmcStrongLowerBound('x_2', -2.3):
fmcStrongUpperBound('x_2', 2.3):
fmcInitialValue('x_3', 2):
fmcStrongLowerBound('x_3', -3.2):
fmcStrongUpperBound('x_3', 3.2):
fmcInitialValue('x_4', -1):
fmcStrongLowerBound('x_4', -3.2):
fmcStrongUpperBound('x_4', 3.2):
fmcInitialValue('x_5', -1):
fmcStrongLowerBound('x_5', -3.2):
fmcStrongUpperBound('x_5', 3.2):
myminfun := exp(x_1*x_2*x_3*x_4*x_5) - (1/2)*(x_1^3 + x_2^3 + 1)^2:
myabsdevnod0_0 := myownabs(myminfun - 0.05394984777027201):
myreldevnod0_0 := myownabs(myminfun/0.05394984777027201 - 1):
myabsdevnod0_1 := myownabs(x_1 + 1.717143570394382):
myreldevnod0_1 := myownabs(x_1/1.717143570394382 + 1):
myabsdevnod0_2 := myownabs(x_2 - 1.595709690183554):
myreldevnod0_2 := myownabs(x_2/1.595709690183554 - 1):
myabsdevnod0_3 := myownabs(x_3 - 1.827245752927195):
myreldevnod0_3 := myownabs(x_3/1.827245752927195 - 1):
myabsdevnod0_4 := myownabs(x_4 + 0.7636430781841304):
myreldevnod0_4 := myownabs(x_4/0.7636430781841304 + 1):
myabsdevnod0_5 := myownabs(x_5 + 0.7636430781841304):
myreldevnod0_5 := myownabs(x_5/0.7636430781841304 + 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_1^2 + x_2^2 + x_3^2 + x_4^2 + x_5^2 - 10):
fmcEquality('ce_2', x_2*x_3 - 5*x_4*x_5):
fmcEquality('ce_3', x_1^3 + x_2^3 + 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