fmcTitle("tp056r"): # 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: mypi := 4*atan(1): c7 := 7: c42 := 42: c72 := 72: a := asin(sqrt(10/c42)): b := asin(sqrt(50/c72)): c := asin(sqrt(4/c7)): d := asin(sqrt(2/c7)): e := mypi/2: eps := 10^(-6): fmcInitialValue(x_1, 1): fmcInitialValue(x_2, 1): fmcInitialValue(x_3, 1): fmcInitialValue(x_4, a): fmcStrongLowerBound(x_4, eps): fmcStrongUpperBound(x_4, e): fmcInitialValue(x_5, a): fmcStrongLowerBound(x_5, eps): fmcStrongUpperBound(x_5, e): fmcInitialValue(x_6, a): fmcStrongLowerBound(x_6, eps): fmcStrongUpperBound(x_6, e): fmcInitialValue(x_7, b): fmcStrongLowerBound(x_7, eps): fmcStrongUpperBound(x_7, e): myminfun := (-1)*x_1*x_2*x_3: myabsdevnod0_0 := myownabs(myminfun + 3.456): myreldevnod0_0 := myownabs(myminfun/3.456 + 1): myabsdevnod0_1 := myownabs(x_1 - 2.4): myreldevnod0_1 := myownabs(x_1/2.4 - 1): myabsdevnod0_2 := myownabs(x_2 - 1.2): myreldevnod0_2 := myownabs(x_2/1.2 - 1): myabsdevnod0_3 := myownabs(x_3 - 1.2): myreldevnod0_3 := myownabs(x_3/1.2 - 1): myabsdevnod0_4 := myownabs(x_4 - 0.857071947850131): myreldevnod0_4 := myownabs(x_4/0.857071947850131 - 1): myabsdevnod0_5 := myownabs(x_5 - 0.5639426413606288): myreldevnod0_5 := myownabs(x_5/0.5639426413606288 - 1): myabsdevnod0_6 := myownabs(x_6 - 0.5639426413606288): myreldevnod0_6 := myownabs(x_6/0.5639426413606288 - 1): myabsdevnod0_7 := myownabs(x_7 - 1.570796326794897): myreldevnod0_7 := myownabs(x_7/1.570796326794897 - 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): fmcEquality(ce_1, x_1 - 4.2*sin(x_4)^2): fmcEquality(ce_2, x_2 - 4.2*sin(x_5)^2): fmcEquality(ce_3, x_3 - 4.2*sin(x_6)^2): fmcEquality(ce_4, x_1 + 2*x_2 + 2*x_3 - 7.2*sin(x_7)^2): 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