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fmcTitle("tp108r"): # 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: mfcorrhs := 0: fmcInitialValue(x_1, 1): fmcInitialValue(x_2, 1): fmcInitialValue(x_3, 1): fmcInitialValue(x_4, 1): fmcInitialValue(x_5, 1): fmcInitialValue(x_6, 1): fmcInitialValue(x_7, 1): fmcInitialValue(x_8, 1): fmcInitialValue(x_9, 1): fmcStrongLowerBound(x_9, 0): c_1 := 1 - x_3^2 - x_4^2: c_2 := 1 - x_9^2: c_3 := 1 - x_5^2 - x_6^2: c_4 := 1 - x_1^2 - (x_2 - x_9)^2: c_5 := 1 - (x_1 - x_5)^2 - (x_2 - x_6)^2: c_6 := 1 - (x_1 - x_7)^2 - (x_2 - x_8)^2: c_7 := 1 - (x_3 - x_5)^2 - (x_4 - x_6)^2: c_8 := 1 - (x_3 - x_7)^2 - (x_4 - x_8)^2: c_9 := 1 - x_7^2 - (x_8 - x_9)^2: c_10 := x_1*x_4 - x_2*x_3: c_11 := x_3*x_9: c_12 := (-1)*x_5*x_9: c_13 := x_5*x_8 - x_6*x_7: mf := (-1/2)*(x_1*x_4 - x_2*x_3 + x_3*x_9 - x_5*x_9 + x_5*x_8 - x_6*x_7): mfcorrr := (3*x_1 - 2*x_2)^2 + (3*x_5 - 2*x_6)^2: myminfun := mf + mfcorrr: myabsdevnod0_0 := myownabs(myminfun + 0.8660254037844386): myreldevnod0_0 := myownabs(myminfun/0.8660254037844386 + 1): myabsdevnod0_1 := myownabs(x_1 - 0.5547001962252291): myreldevnod0_1 := myownabs(x_1/0.5547001962252291 - 1): myabsdevnod0_2 := myownabs(x_2 - 0.8320502943378437): myreldevnod0_2 := myownabs(x_2/0.8320502943378437 - 1): myabsdevnod0_3 := myownabs(x_3 + 0.4432265940102775): myreldevnod0_3 := myownabs(x_3/0.4432265940102775 + 1): myabsdevnod0_4 := myownabs(x_4 - 0.8964096085841832): myreldevnod0_4 := myownabs(x_4/0.8964096085841832 - 1): myabsdevnod0_5 := myownabs(x_5 - 0.5547001962252291): myreldevnod0_5 := myownabs(x_5/0.5547001962252291 - 1): myabsdevnod0_6 := myownabs(x_6 - 0.8320502943378437): myreldevnod0_6 := myownabs(x_6/0.8320502943378437 - 1): myabsdevnod0_7 := myownabs(x_7 + 0.4432265940102775): myreldevnod0_7 := myownabs(x_7/0.4432265940102775 + 1): myabsdevnod0_8 := myownabs(x_8 - 0.8964096085841832): myreldevnod0_8 := myownabs(x_8/0.8964096085841832 - 1): myabsdevnod0_9 := myownabs(x_9): myreldevnod0_9 := myownabs(x_9): 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)): 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 := myabsdevnod1_8: myreldevnod2_8 := myreldevnod1_8: 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): fmcInequality(ci_1, c_1): fmcInequality(ci_2, c_2): fmcInequality(ci_3, c_3): fmcInequality(ci_4, c_4): fmcInequality(ci_5, c_5): fmcInequality(ci_6, c_6): fmcInequality(ci_7, c_7): fmcInequality(ci_8, c_8): fmcInequality(ci_9, c_9): fmcInequality(ci_10, c_10): fmcInequality(ci_11, c_11): fmcInequality(ci_12, c_12): fmcInequality(ci_13, c_13): 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('myminfun', myminfun): fmcEscortFloat('zmyabsdevmax', zmyabsdevmax): fmcEscortFloat('zmyreldevmax', zmyreldevmax): fmcControlMinimum(1, 0): # End Model