fmcmap/tp100.map


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fmcTitle("tp100"):
# 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', 1):
fmcInitialValue('x_2', 2):
fmcInitialValue('x_3', 0):
fmcInitialValue('x_4', 4):
fmcInitialValue('x_5', 0):
fmcInitialValue('x_6', 1):
fmcInitialValue('x_7', 1):
c_1 := 127 - 2*x_1^2 - 3*x_2^4 - x_3 - 4*x_4^2 - 5*x_5:
c_2 := 282 - 7*x_1 - 3*x_2 - 10*x_3^2 - x_4 + x_5:
c_3 := 196 - 23*x_1 - x_2^2 - 6*x_6^2 + 8*x_7:
c_4 := (-4)*x_1^2 - x_2^2 + 3*x_1*x_2 - 2*x_3^2 - 5*x_6 +11*x_7:
mf := (x_1 - 10)^2 + 5*(x_2 - 12)^2 + x_3^4 + 3*(x_4 - 11)^2 + 10*x_5^6 + 7*x_6^2 + x_7^4 - 4*x_6*x_7 -
10*x_6 - 8*x_7:
myminfun := mf:
myabsdevnod0_0 := myownabs(myminfun - 680.6300573744021):
myreldevnod0_0 := myownabs(myminfun/680.6300573744021 - 1):
myabsdevnod0_1 := myownabs(x_1 - 2.33049937287957):
myreldevnod0_1 := myownabs(x_1/2.33049937287957 - 1):
myabsdevnod0_2 := myownabs(x_2 - 1.951372372896889):
myreldevnod0_2 := myownabs(x_2/1.951372372896889 - 1):
myabsdevnod0_3 := myownabs(x_3 + 0.4775413923888715):
myreldevnod0_3 := myownabs(x_3/0.4775413923888715 + 1):
myabsdevnod0_4 := myownabs(x_4 - 4.36572623365581):
myreldevnod0_4 := myownabs(x_4/4.36572623365581 - 1):
myabsdevnod0_5 := myownabs(x_5 + 0.6244869705268174):
myreldevnod0_5 := myownabs(x_5/0.6244869705268174 + 1):
myabsdevnod0_6 := myownabs(x_6 - 1.038131018607958):
myreldevnod0_6 := myownabs(x_6/1.038131018607958 - 1):
myabsdevnod0_7 := myownabs(x_7 - 1.594226711611868):
myreldevnod0_7 := myownabs(x_7/1.594226711611868 - 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)):
myabsdevnod1_6 := (1/2)*(myownabs(myabsdevnod0_6 - myabsdevnod0_7) + (myabsdevnod0_6 + myabsdevnod0_7)):
myreldevnod1_6 := (1/2)*(myownabs(myreldevnod0_6 - myreldevnod0_7) + (myreldevnod0_6 + myreldevnod0_7)):
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 := (1/2)*(myownabs(myabsdevnod1_4 - myabsdevnod1_6) + (myabsdevnod1_4 + myabsdevnod1_6)):
myreldevnod2_4 := (1/2)*(myownabs(myreldevnod1_4 - myreldevnod1_6) + (myreldevnod1_4 + myreldevnod1_6)):
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):
fmcInequality('ci_1', c_1):
fmcInequality('ci_2', c_2):
fmcInequality('ci_3', c_3):
fmcInequality('ci_4', c_4):
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('x_6', x_6):
fmcEscortFloat('x_7', x_7):
fmcEscortFloat('myminfun', myminfun):
fmcEscortFloat('zmyabsdevmax', zmyabsdevmax):
fmcEscortFloat('zmyreldevmax', zmyreldevmax):
fmcControlMinimum(1, 0):
# End Model

Stephan K.H. Seidl