fmcTitle("tp119"): # 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, 10): fmcStrongLowerBound(x_1, 0): fmcStrongUpperBound(x_1, 5): fmcInitialValue(x_2, 10): fmcStrongLowerBound(x_2, 0): fmcStrongUpperBound(x_2, 5): fmcInitialValue(x_3, 10): fmcStrongLowerBound(x_3, 0): fmcStrongUpperBound(x_3, 5): fmcInitialValue(x_4, 10): fmcStrongLowerBound(x_4, 0): fmcStrongUpperBound(x_4, 5): fmcInitialValue(x_5, 10): fmcStrongLowerBound(x_5, 0): fmcStrongUpperBound(x_5, 5): fmcInitialValue(x_6, 10): fmcStrongLowerBound(x_6, 0): fmcStrongUpperBound(x_6, 5): fmcInitialValue(x_7, 10): fmcStrongLowerBound(x_7, 0): fmcStrongUpperBound(x_7, 5): fmcInitialValue(x_8, 10): fmcStrongLowerBound(x_8, 0): fmcStrongUpperBound(x_8, 5): fmcInitialValue(x_9, 10): fmcStrongLowerBound(x_9, 0): fmcStrongUpperBound(x_9, 5): fmcInitialValue(x_10, 10): fmcStrongLowerBound(x_10, 0): fmcStrongUpperBound(x_10, 5): fmcInitialValue(x_11, 10): fmcStrongLowerBound(x_11, 0): fmcStrongUpperBound(x_11, 5): fmcInitialValue(x_12, 10): fmcStrongLowerBound(x_12, 0): fmcStrongUpperBound(x_12, 5): fmcInitialValue(x_13, 10): fmcStrongLowerBound(x_13, 0): fmcStrongUpperBound(x_13, 5): fmcInitialValue(x_14, 10): fmcStrongLowerBound(x_14, 0): fmcStrongUpperBound(x_14, 5): fmcInitialValue(x_15, 10): fmcStrongLowerBound(x_15, 0): fmcStrongUpperBound(x_15, 5): fmcInitialValue(x_16, 10): fmcStrongLowerBound(x_16, 0): fmcStrongUpperBound(x_16, 5): c_1 := 0.22*x_1 + 0.2*x_2 + 0.19*x_3 + 0.25*x_4 + 0.15*x_5 + 0.11*x_6 + 0.12*x_7 + 0.13*x_8 + x_9 - 2.5: c_2 := (-1.46)*x_1 - 1.3*x_3 + 1.82*x_4 - 1.15*x_5 + 0.8*x_7 + x_10 - 1.1: c_3 := 1.29*x_1 - 0.89*x_2 - 1.16*x_5 - 0.96*x_6 - 0.49*x_8 + x_11 + 3.1: c_4 := (-1.1)*x_1 - 1.06*x_2 + 0.95*x_3 - 0.54*x_4 - 1.78*x_6 - 0.41*x_7 + x_12 + 3.5: c_5 := (-1.43)*x_4 + 1.51*x_5 + 0.59*x_6 - 0.33*x_7 - 0.43*x_8 + x_13 - 1.3: c_6 := (-1.72)*x_2 - 0.33*x_3 + 1.62*x_5 + 1.24*x_6 + 0.21*x_7 - 0.26*x_8 + x_14 - 2.1: c_7 := 1.12*x_1 + 0.31*x_4 + 1.12*x_7 - 0.36*x_9 + x_15 - 2.3: c_8 := 0.45*x_2 + 0.26*x_3 - 1.1*x_4 + 0.58*x_5 - 1.03*x_7 + 0.1*x_8 + x_16 + 1.5: s_1 := (x_1^2 + x_1 + 1) * (x_1^2 + x_1 + 1): s_2 := s_1 + (x_1^2 + x_1 + 1) * (x_4^2 + x_4 + 1): s_3 := s_2 + (x_1^2 + x_1 + 1) * (x_7^2 + x_7 + 1): s_4 := s_3 + (x_1^2 + x_1 + 1) * (x_8^2 + x_8 + 1): s_5 := s_4 + (x_1^2 + x_1 + 1) * (x_16^2 + x_16 + 1): s_6 := s_5 + (x_2^2 + x_2 + 1) * (x_2^2 + x_2 + 1): s_7 := s_6 + (x_2^2 + x_2 + 1) * (x_3^2 + x_3 + 1): s_8 := s_7 + (x_2^2 + x_2 + 1) * (x_7^2 + x_7 + 1): s_9 := s_8 + (x_2^2 + x_2 + 1) * (x_10^2 + x_10 + 1): s_10 := s_9 + (x_3^2 + x_3 + 1) * (x_3^2 + x_3 + 1): s_11 := s_10 + (x_3^2 + x_3 + 1) * (x_7^2 + x_7 + 1): s_12 := s_11 + (x_3^2 + x_3 + 1) * (x_9^2 + x_9 + 1): s_13 := s_12 + (x_3^2 + x_3 + 1) * (x_10^2 + x_10 + 1): s_14 := s_13 + (x_3^2 + x_3 + 1) * (x_14^2 + x_14 + 1): s_15 := s_14 + (x_4^2 + x_4 + 1) * (x_4^2 + x_4 + 1): s_16 := s_15 + (x_4^2 + x_4 + 1) * (x_7^2 + x_7 + 1): s_17 := s_16 + (x_4^2 + x_4 + 1) * (x_11^2 + x_11 + 1): s_18 := s_17 + (x_4^2 + x_4 + 1) * (x_15^2 + x_15 + 1): s_19 := s_18 + (x_5^2 + x_5 + 1) * (x_5^2 + x_5 + 1): s_20 := s_19 + (x_5^2 + x_5 + 1) * (x_6^2 + x_6 + 1): s_21 := s_20 + (x_5^2 + x_5 + 1) * (x_10^2 + x_10 + 1): s_22 := s_21 + (x_5^2 + x_5 + 1) * (x_12^2 + x_12 + 1): s_23 := s_22 + (x_5^2 + x_5 + 1) * (x_16^2 + x_16 + 1): s_24 := s_23 + (x_6^2 + x_6 + 1) * (x_6^2 + x_6 + 1): s_25 := s_24 + (x_6^2 + x_6 + 1) * (x_8^2 + x_8 + 1): s_26 := s_25 + (x_6^2 + x_6 + 1) * (x_15^2 + x_15 + 1): s_27 := s_26 + (x_7^2 + x_7 + 1) * (x_7^2 + x_7 + 1): s_28 := s_27 + (x_7^2 + x_7 + 1) * (x_11^2 + x_11 + 1): s_29 := s_28 + (x_7^2 + x_7 + 1) * (x_13^2 + x_13 + 1): s_30 := s_29 + (x_8^2 + x_8 + 1) * (x_8^2 + x_8 + 1): s_31 := s_30 + (x_8^2 + x_8 + 1) * (x_10^2 + x_10 + 1): s_32 := s_31 + (x_8^2 + x_8 + 1) * (x_15^2 + x_15 + 1): s_33 := s_32 + (x_9^2 + x_9 + 1) * (x_9^2 + x_9 + 1): s_34 := s_33 + (x_9^2 + x_9 + 1) * (x_12^2 + x_12 + 1): s_35 := s_34 + (x_9^2 + x_9 + 1) * (x_16^2 + x_16 + 1): s_36 := s_35 + (x_10^2 + x_10 + 1) * (x_10^2 + x_10 + 1): s_37 := s_36 + (x_10^2 + x_10 + 1) * (x_14^2 + x_14 + 1): s_38 := s_37 + (x_11^2 + x_11 + 1) * (x_11^2 + x_11 + 1): s_39 := s_38 + (x_11^2 + x_11 + 1) * (x_13^2 + x_13 + 1): s_40 := s_39 + (x_12^2 + x_12 + 1) * (x_12^2 + x_12 + 1): s_41 := s_40 + (x_12^2 + x_12 + 1) * (x_14^2 + x_14 + 1): s_42 := s_41 + (x_13^2 + x_13 + 1) * (x_13^2 + x_13 + 1): s_43 := s_42 + (x_13^2 + x_13 + 1) * (x_14^2 + x_14 + 1): s_44 := s_43 + (x_14^2 + x_14 + 1) * (x_14^2 + x_14 + 1): s_45 := s_44 + (x_15^2 + x_15 + 1) * (x_15^2 + x_15 + 1): s_46 := s_45 + (x_16^2 + x_16 + 1) * (x_16^2 + x_16 + 1): mf := s_46: myminfun := mf: myabsdevnod0_0 := myownabs(myminfun - 244.8996975168009): myreldevnod0_0 := myownabs(myminfun/244.8996975168009 - 1): myabsdevnod0_1 := myownabs(x_1 - 0.0398473514111225): myreldevnod0_1 := myownabs(x_1/0.0398473514111225 - 1): myabsdevnod0_2 := myownabs(x_2 - 0.7919831556883808): myreldevnod0_2 := myownabs(x_2/0.7919831556883808 - 1): myabsdevnod0_3 := myownabs(x_3 - 0.202870330251036): myreldevnod0_3 := myownabs(x_3/0.202870330251036 - 1): myabsdevnod0_4 := myownabs(x_4 - 0.844357916365675): myreldevnod0_4 := myownabs(x_4/0.844357916365675 - 1): myabsdevnod0_5 := myownabs(x_5 - 1.269906452866503): myreldevnod0_5 := myownabs(x_5/1.269906452866503 - 1): myabsdevnod0_6 := myownabs(x_6 - 0.934738707824643): myreldevnod0_6 := myownabs(x_6/0.934738707824643 - 1): myabsdevnod0_7 := myownabs(x_7 - 1.681961969246919): myreldevnod0_7 := myownabs(x_7/1.681961969246919 - 1): myabsdevnod0_8 := myownabs(x_8 - 0.1553008773895687): myreldevnod0_8 := myownabs(x_8/0.1553008773895687 - 1): myabsdevnod0_9 := myownabs(x_9 - 1.567870333551801): myreldevnod0_9 := myownabs(x_9/1.567870333551801 - 1): myabsdevnod0_10 := myownabs(x_10): myreldevnod0_10 := myownabs(x_10): myabsdevnod0_11 := myownabs(x_11): myreldevnod0_11 := myownabs(x_11): myabsdevnod0_12 := myownabs(x_12): myreldevnod0_12 := myownabs(x_12): myabsdevnod0_13 := myownabs(x_13 - 0.6602040660869546): myreldevnod0_13 := myownabs(x_13/0.6602040660869546 - 1): myabsdevnod0_14 := myownabs(x_14): myreldevnod0_14 := myownabs(x_14): myabsdevnod0_15 := myownabs(x_15 - 0.6742559268682825): myreldevnod0_15 := myownabs(x_15/0.6742559268682825 - 1): myabsdevnod0_16 := myownabs(x_16): myreldevnod0_16 := myownabs(x_16): 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 := (1/2)*(myownabs(myabsdevnod0_10 - myabsdevnod0_11) + (myabsdevnod0_10 + myabsdevnod0_11)): myreldevnod1_10 := (1/2)*(myownabs(myreldevnod0_10 - myreldevnod0_11) + (myreldevnod0_10 + myreldevnod0_11)): myabsdevnod1_12 := (1/2)*(myownabs(myabsdevnod0_12 - myabsdevnod0_13) + (myabsdevnod0_12 + myabsdevnod0_13)): myreldevnod1_12 := (1/2)*(myownabs(myreldevnod0_12 - myreldevnod0_13) + (myreldevnod0_12 + myreldevnod0_13)): myabsdevnod1_14 := (1/2)*(myownabs(myabsdevnod0_14 - myabsdevnod0_15) + (myabsdevnod0_14 + myabsdevnod0_15)): myreldevnod1_14 := (1/2)*(myownabs(myreldevnod0_14 - myreldevnod0_15) + (myreldevnod0_14 + myreldevnod0_15)): myabsdevnod1_16 := myabsdevnod0_16: myreldevnod1_16 := myreldevnod0_16: 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)): myabsdevnod2_12 := (1/2)*(myownabs(myabsdevnod1_12 - myabsdevnod1_14) + (myabsdevnod1_12 + myabsdevnod1_14)): myreldevnod2_12 := (1/2)*(myownabs(myreldevnod1_12 - myreldevnod1_14) + (myreldevnod1_12 + myreldevnod1_14)): myabsdevnod2_16 := myabsdevnod1_16: myreldevnod2_16 := myreldevnod1_16: 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 := (1/2)*(myownabs(myabsdevnod2_8 - myabsdevnod2_12) + (myabsdevnod2_8 + myabsdevnod2_12)): myreldevnod3_8 := (1/2)*(myownabs(myreldevnod2_8 - myreldevnod2_12) + (myreldevnod2_8 + myreldevnod2_12)): myabsdevnod3_16 := myabsdevnod2_16: myreldevnod3_16 := myreldevnod2_16: 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)): myabsdevnod4_16 := myabsdevnod3_16: myreldevnod4_16 := myreldevnod3_16: myabsdevnod5_0 := (1/2)*(myownabs(myabsdevnod4_0 - myabsdevnod4_16) + (myabsdevnod4_0 + myabsdevnod4_16)): myreldevnod5_0 := (1/2)*(myownabs(myreldevnod4_0 - myreldevnod4_16) + (myreldevnod4_0 + myreldevnod4_16)): zmyabsdevmax := myabsdevnod5_0: zmyreldevmax := myreldevnod5_0: obj := myminfun: fmcMinimum(obj): fmcEquality(ce_1, c_1): fmcEquality(ce_2, c_2): fmcEquality(ce_3, c_3): fmcEquality(ce_4, c_4): fmcEquality(ce_5, c_5): fmcEquality(ce_6, c_6): fmcEquality(ce_7, c_7): fmcEquality(ce_8, c_8): 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(x_11, x_11): fmcEscortFloat(x_12, x_12): fmcEscortFloat(x_13, x_13): fmcEscortFloat(x_14, x_14): fmcEscortFloat(x_15, x_15): fmcEscortFloat(x_16, x_16): fmcEscortFloat('myminfun', myminfun): fmcEscortFloat('zmyabsdevmax', zmyabsdevmax): fmcEscortFloat('zmyreldevmax', zmyreldevmax): fmcControlMinimum(1, 0): # End Model