fmcmap/tp071.map


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fmcTitle("tp071"):
# Source version 2
# Simple APM canonicalizer version 1.3
# FMCMAP backend version 1.1
asin := proc(x::algebraic) local y: y := arcsin(x): return(y): end proc:
atan := proc(x::algebraic) local y: y := arctan(x): return(y): end proc:
myownabs := proc(x::algebraic) local y: y := fmc_m_abs(x): return(y): end proc:
fmcInitialValue(x_1, 1):
fmcStrongLowerBound(x_1, 1):
fmcStrongUpperBound(x_1, 5):
fmcInitialValue(x_2, 5):
fmcStrongLowerBound(x_2, 1):
fmcStrongUpperBound(x_2, 5):
fmcInitialValue(x_3, 5):
fmcStrongLowerBound(x_3, 1):
fmcStrongUpperBound(x_3, 5):
fmcInitialValue(x_4, 1):
fmcStrongLowerBound(x_4, 1):
fmcStrongUpperBound(x_4, 5):
myminfun := x_1*x_4*(x_1 + x_2 + x_3) + x_3:
myabsdevnod0_0 := myownabs(myminfun - 17.0140172891563):
myreldevnod0_0 := myownabs(myminfun/17.0140172891563 - 1):
myabsdevnod0_1 := myownabs(x_1 - 1):
myreldevnod0_1 := myownabs(x_1 - 1):
myabsdevnod0_2 := myownabs(x_2 - 4.742999637264417):
myreldevnod0_2 := myownabs(x_2/4.742999637264417 - 1):
myabsdevnod0_3 := myownabs(x_3 - 3.821149984184874):
myreldevnod0_3 := myownabs(x_3/3.821149984184874 - 1):
myabsdevnod0_4 := myownabs(x_4 - 1.379408293172672):
myreldevnod0_4 := myownabs(x_4/1.379408293172672 - 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 := myabsdevnod0_4:
myreldevnod1_4 := myreldevnod0_4:
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 - 40):
fmcInequality(ci_1, x_1*x_2*x_3*x_4 - 25):
fmcEscortFloat(x_1, x_1):
fmcEscortFloat(x_2, x_2):
fmcEscortFloat(x_3, x_3):
fmcEscortFloat(x_4, x_4):
fmcEscortFloat('myminfun', myminfun):
fmcEscortFloat('zmyabsdevmax', zmyabsdevmax):
fmcEscortFloat('zmyreldevmax', zmyreldevmax):
fmcControlMinimum(1, 0):
# End Model

Stephan K.H. Seidl