fmcmap/tp112.map


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fmcTitle("tp112"):
# 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:
b3a := -1:
b3b := 0:
b3 := b3a:
c_1 := -6.089:
c_2 := -17.164:
c_3 := -34.054:
c_4 := -5.914:
c_5 := -24.721:
c_6 := -14.986:
c_7 := -24.100:
c_8 := -10.708:
c_9 := -26.662:
c_10 := -22.179:
si_0 := 0:
so_0 := 0:
fmcInitialValue('x_1', 0.1):
fmcStrongLowerBound('x_1', 1.0e-6):
fmcInitialValue('x_2', 0.1):
fmcStrongLowerBound('x_2', 1.0e-6):
fmcInitialValue('x_3', 0.1):
fmcStrongLowerBound('x_3', 1.0e-6):
fmcInitialValue('x_4', 0.1):
fmcStrongLowerBound('x_4', 1.0e-6):
fmcInitialValue('x_5', 0.1):
fmcStrongLowerBound('x_5', 1.0e-6):
fmcInitialValue('x_6', 0.1):
fmcStrongLowerBound('x_6', 1.0e-6):
fmcInitialValue('x_7', 0.1):
fmcStrongLowerBound('x_7', 1.0e-6):
fmcInitialValue('x_8', 0.1):
fmcStrongLowerBound('x_8', 1.0e-6):
fmcInitialValue('x_9', 0.1):
fmcStrongLowerBound('x_9', 1.0e-6):
fmcInitialValue('x_10', 0.1):
fmcStrongLowerBound('x_10', 1.0e-6):
cf_1 := x_1 + 2*x_2 + 2*x_3 + x_6 + x_10 - 2:
cf_2 := x_4 + 2*x_5 + x_6 + x_7 - 1:
cf_3 := x_3 + x_7 + x_8 + 2*x_9 + x_10 + b3:
si_1 := si_0 + x_1:
si_2 := si_1 + x_2:
si_3 := si_2 + x_3:
si_4 := si_3 + x_4:
si_5 := si_4 + x_5:
si_6 := si_5 + x_6:
si_7 := si_6 + x_7:
si_8 := si_7 + x_8:
si_9 := si_8 + x_9:
si_10 := si_9 + x_10:
aux := si_10:
so_1 := so_0 + x_1*(c_1 + log(x_1/aux)):
so_2 := so_1 + x_2*(c_2 + log(x_2/aux)):
so_3 := so_2 + x_3*(c_3 + log(x_3/aux)):
so_4 := so_3 + x_4*(c_4 + log(x_4/aux)):
so_5 := so_4 + x_5*(c_5 + log(x_5/aux)):
so_6 := so_5 + x_6*(c_6 + log(x_6/aux)):
so_7 := so_6 + x_7*(c_7 + log(x_7/aux)):
so_8 := so_7 + x_8*(c_8 + log(x_8/aux)):
so_9 := so_8 + x_9*(c_9 + log(x_9/aux)):
so_10 := so_9 + x_10*(c_10 + log(x_10/aux)):
mf := so_10:
myminfun := mf:
myabsdevnod0_0 := myownabs(myminfun + 47.76109085936586):
myreldevnod0_0 := myownabs(myminfun/47.76109085936586 + 1):
myabsdevnod0_1 := myownabs(x_1 - 0.04066808735569023):
myreldevnod0_1 := myownabs(x_1/0.04066808735569023 - 1):
myabsdevnod0_2 := myownabs(x_2 - 0.1477303543408223):
myreldevnod0_2 := myownabs(x_2/0.1477303543408223 - 1):
myabsdevnod0_3 := myownabs(x_3 - 0.7831533540092339):
myreldevnod0_3 := myownabs(x_3/0.7831533540092339 - 1):
myabsdevnod0_4 := myownabs(x_4 - 0.001414219809030122):
myreldevnod0_4 := myownabs(x_4/0.001414219809030122 - 1):
myabsdevnod0_5 := myownabs(x_5 - 0.485246648699273):
myreldevnod0_5 := myownabs(x_5/0.485246648699273 - 1):
myabsdevnod0_6 := myownabs(x_6 - 0.0006931720784207306):
myreldevnod0_6 := myownabs(x_6/0.0006931720784207306 - 1):
myabsdevnod0_7 := myownabs(x_7 - 0.02739931071400318):
myreldevnod0_7 := myownabs(x_7/0.02739931071400318 - 1):
myabsdevnod0_8 := myownabs(x_8 - 0.01794727958492589):
myreldevnod0_8 := myownabs(x_8/0.01794727958492589 - 1):
myabsdevnod0_9 := myownabs(x_9 - 0.03731436591303018):
myreldevnod0_9 := myownabs(x_9/0.03731436591303018 - 1):
myabsdevnod0_10 := myownabs(x_10 - 0.09687132386577663):
myreldevnod0_10 := myownabs(x_10/0.09687132386577663 - 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)):
myabsdevnod1_8 := (1/2)*(myownabs(myabsdevnod0_8 - myabsdevnod0_9) + (myabsdevnod0_8 + myabsdevnod0_9)):
myreldevnod1_8 := (1/2)*(myownabs(myreldevnod0_8 - myreldevnod0_9) + (myreldevnod0_8 + myreldevnod0_9)):
myabsdevnod1_10 := myabsdevnod0_10:
myreldevnod1_10 := myreldevnod0_10:
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)):
myabsdevnod2_8 := (1/2)*(myownabs(myabsdevnod1_8 - myabsdevnod1_10) + (myabsdevnod1_8 + myabsdevnod1_10)):
myreldevnod2_8 := (1/2)*(myownabs(myreldevnod1_8 - myreldevnod1_10) + (myreldevnod1_8 + myreldevnod1_10)):
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)):
myabsdevnod3_8 := myabsdevnod2_8:
myreldevnod3_8 := myreldevnod2_8:
myabsdevnod4_0 := (1/2)*(myownabs(myabsdevnod3_0 - myabsdevnod3_8) + (myabsdevnod3_0 + myabsdevnod3_8)):
myreldevnod4_0 := (1/2)*(myownabs(myreldevnod3_0 - myreldevnod3_8) + (myreldevnod3_0 + myreldevnod3_8)):
zmyabsdevmax := myabsdevnod4_0:
zmyreldevmax := myreldevnod4_0:
obj := myminfun:
fmcMinimum(obj):
fmcEquality('ce_1', cf_1):
fmcEquality('ce_2', cf_2):
fmcEquality('ce_3', cf_3):
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('x_8', x_8):
fmcEscortFloat('x_9', x_9):
fmcEscortFloat('x_10', x_10):
fmcEscortFloat('myminfun', myminfun):
fmcEscortFloat('zmyabsdevmax', zmyabsdevmax):
fmcEscortFloat('zmyreldevmax', zmyreldevmax):
fmcControlMinimum(1, 0):
# End Model

Stephan K.H. Seidl