fmcTitle("tp032"): # Source version 1 # Simple APM canonicalizer version 1.3 # FMCMAP backend version 1.2 myownabs := proc(x::algebraic) return(fmc_m_abs(x)): end proc: fmcInitialValue(x_1, 0.1): fmcStrongLowerBound(x_1, 0): fmcInitialValue(x_2, 0.7): fmcStrongLowerBound(x_2, 0): fmcInitialValue(x_3, 0.2): fmcStrongLowerBound(x_3, 0): myminfun := (x_1 + 3*x_2 + x_3)^2 + 4*(x_1 - x_2)^2: myabsdevnod0_0 := myownabs(myminfun - 1): myreldevnod0_0 := myownabs(myminfun - 1): myabsdevnod0_1 := myownabs(x_1): myreldevnod0_1 := myownabs(x_1): myabsdevnod0_2 := myownabs(x_2): myreldevnod0_2 := myownabs(x_2): myabsdevnod0_3 := myownabs(x_3 - 1): myreldevnod0_3 := myownabs(x_3 - 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)): 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)): zmyabsdevmax := myabsdevnod2_0: zmyreldevmax := myreldevnod2_0: obj := myminfun: fmcMinimum(obj): fmcEquality(ce_1, 1 - x_1 - x_2 - x_3): fmcInequality(ci_1, 6*x_2 + 4*x_3 - x_1^3 - 3): fmcEscortFloat(x_1, x_1): fmcEscortFloat(x_2, x_2): fmcEscortFloat(x_3, x_3): fmcEscortFloat('myminfun', myminfun): fmcEscortFloat('zmyabsdevmax', zmyabsdevmax): fmcEscortFloat('zmyreldevmax', zmyreldevmax): fmcControlMinimum(1, 0): # End Model