fmcTitle("tp086"): # 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: a24a := 0.4: a24b := 4: a24 := a24a: a_1_1 := -16: a_1_2 := 2: a_1_3 := 0: a_1_4 := 1: a_1_5 := 0: a_2_1 := 0: a_2_2 := -2: a_2_3 := 0: a_2_4 := a24: a_2_5 := 2: a_3_1 := -3.5: a_3_2 := 0: a_3_3 := 2: a_3_4 := 0: a_3_5 := 0: a_4_1 := 0: a_4_2 := -2: a_4_3 := 0: a_4_4 := -4: a_4_5 := -1: a_5_1 := 0: a_5_2 := -9: a_5_3 := -2: a_5_4 := 1: a_5_5 := -2.8: a_6_1 := 2: a_6_2 := 0: a_6_3 := -4: a_6_4 := 0: a_6_5 := 0: a_7_1 := -1: a_7_2 := -1: a_7_3 := -1: a_7_4 := -1: a_7_5 := -1: a_8_1 := -1: a_8_2 := -2: a_8_3 := -3: a_8_4 := -2: a_8_5 := -1: a_9_1 := 1: a_9_2 := 2: a_9_3 := 3: a_9_4 := 4: a_9_5 := 5: a_10_1 := 1: a_10_2 := 1: a_10_3 := 1: a_10_4 := 1: a_10_5 := 1: b_1 := -40: b_2 := -2: b_3 := -0.25: b_4 := -4: b_5 := -4: b_6 := -1: b_7 := -40: b_8 := -60: b_9 := 5: b_10 := 1: c_1_1 := 30: c_1_2 := -20: c_1_3 := -10: c_1_4 := 32: c_1_5 := -10: c_2_1 := -20: c_2_2 := 39: c_2_3 := -6: c_2_4 := -31: c_2_5 := 32: c_3_1 := -10: c_3_2 := -6: c_3_3 := 10: c_3_4 := -6: c_3_5 := -10: c_4_1 := 32: c_4_2 := -31: c_4_3 := -6: c_4_4 := 39: c_4_5 := -20: c_5_1 := -10: c_5_2 := 32: c_5_3 := -10: c_5_4 := -20: c_5_5 := 30: d_1 := 4: d_2 := 8: d_3 := 10: d_4 := 6: d_5 := 2: e_1 := -15: e_2 := -27: e_3 := -36: e_4 := -18: e_5 := -12: sumax_1_0 := 0: sumax_2_0 := 0: sumax_3_0 := 0: sumax_4_0 := 0: sumax_5_0 := 0: sumax_6_0 := 0: sumax_7_0 := 0: sumax_8_0 := 0: sumax_9_0 := 0: sumax_10_0 := 0: sumex_0 := 0: sumcxxi_1_0 := 0: sumcxxi_2_0 := 0: sumcxxi_3_0 := 0: sumcxxi_4_0 := 0: sumcxxi_5_0 := 0: sumcxx_0 := 0: sumdx_0 := 0: fmcInitialValue(x_1, 0): fmcStrongLowerBound(x_1, 0): fmcInitialValue(x_2, 0): fmcStrongLowerBound(x_2, 0): fmcInitialValue(x_3, 0): fmcStrongLowerBound(x_3, 0): fmcInitialValue(x_4, 0): fmcStrongLowerBound(x_4, 0): fmcInitialValue(x_5, 1): fmcStrongLowerBound(x_5, 0): sumax_1_1 := sumax_1_0 + a_1_1*x_1: sumax_1_2 := sumax_1_1 + a_1_2*x_2: sumax_1_3 := sumax_1_2 + a_1_3*x_3: sumax_1_4 := sumax_1_3 + a_1_4*x_4: sumax_1_5 := sumax_1_4 + a_1_5*x_5: sumax_2_1 := sumax_2_0 + a_2_1*x_1: sumax_2_2 := sumax_2_1 + a_2_2*x_2: sumax_2_3 := sumax_2_2 + a_2_3*x_3: sumax_2_4 := sumax_2_3 + a_2_4*x_4: sumax_2_5 := sumax_2_4 + a_2_5*x_5: sumax_3_1 := sumax_3_0 + a_3_1*x_1: sumax_3_2 := sumax_3_1 + a_3_2*x_2: sumax_3_3 := sumax_3_2 + a_3_3*x_3: sumax_3_4 := sumax_3_3 + a_3_4*x_4: sumax_3_5 := sumax_3_4 + a_3_5*x_5: sumax_4_1 := sumax_4_0 + a_4_1*x_1: sumax_4_2 := sumax_4_1 + a_4_2*x_2: sumax_4_3 := sumax_4_2 + a_4_3*x_3: sumax_4_4 := sumax_4_3 + a_4_4*x_4: sumax_4_5 := sumax_4_4 + a_4_5*x_5: sumax_5_1 := sumax_5_0 + a_5_1*x_1: sumax_5_2 := sumax_5_1 + a_5_2*x_2: sumax_5_3 := sumax_5_2 + a_5_3*x_3: sumax_5_4 := sumax_5_3 + a_5_4*x_4: sumax_5_5 := sumax_5_4 + a_5_5*x_5: sumax_6_1 := sumax_6_0 + a_6_1*x_1: sumax_6_2 := sumax_6_1 + a_6_2*x_2: sumax_6_3 := sumax_6_2 + a_6_3*x_3: sumax_6_4 := sumax_6_3 + a_6_4*x_4: sumax_6_5 := sumax_6_4 + a_6_5*x_5: sumax_7_1 := sumax_7_0 + a_7_1*x_1: sumax_7_2 := sumax_7_1 + a_7_2*x_2: sumax_7_3 := sumax_7_2 + a_7_3*x_3: sumax_7_4 := sumax_7_3 + a_7_4*x_4: sumax_7_5 := sumax_7_4 + a_7_5*x_5: sumax_8_1 := sumax_8_0 + a_8_1*x_1: sumax_8_2 := sumax_8_1 + a_8_2*x_2: sumax_8_3 := sumax_8_2 + a_8_3*x_3: sumax_8_4 := sumax_8_3 + a_8_4*x_4: sumax_8_5 := sumax_8_4 + a_8_5*x_5: sumax_9_1 := sumax_9_0 + a_9_1*x_1: sumax_9_2 := sumax_9_1 + a_9_2*x_2: sumax_9_3 := sumax_9_2 + a_9_3*x_3: sumax_9_4 := sumax_9_3 + a_9_4*x_4: sumax_9_5 := sumax_9_4 + a_9_5*x_5: sumax_10_1 := sumax_10_0 + a_10_1*x_1: sumax_10_2 := sumax_10_1 + a_10_2*x_2: sumax_10_3 := sumax_10_2 + a_10_3*x_3: sumax_10_4 := sumax_10_3 + a_10_4*x_4: sumax_10_5 := sumax_10_4 + a_10_5*x_5: ineq_1 := sumax_1_5 - b_1: ineq_2 := sumax_2_5 - b_2: ineq_3 := sumax_3_5 - b_3: ineq_4 := sumax_4_5 - b_4: ineq_5 := sumax_5_5 - b_5: ineq_6 := sumax_6_5 - b_6: ineq_7 := sumax_7_5 - b_7: ineq_8 := sumax_8_5 - b_8: ineq_9 := sumax_9_5 - b_9: ineq_10 := sumax_10_5 - b_10: sumex_1 := sumex_0 + e_1*x_1: sumex_2 := sumex_1 + e_2*x_2: sumex_3 := sumex_2 + e_3*x_3: sumex_4 := sumex_3 + e_4*x_4: sumex_5 := sumex_4 + e_5*x_5: sumcxxi_1_1 := sumcxxi_1_0 + c_1_1*x_1*x_1: sumcxxi_1_2 := sumcxxi_1_1 + c_1_2*x_1*x_2: sumcxxi_1_3 := sumcxxi_1_2 + c_1_3*x_1*x_3: sumcxxi_1_4 := sumcxxi_1_3 + c_1_4*x_1*x_4: sumcxxi_1_5 := sumcxxi_1_4 + c_1_5*x_1*x_5: sumcxxi_2_1 := sumcxxi_2_0 + c_2_1*x_2*x_1: sumcxxi_2_2 := sumcxxi_2_1 + c_2_2*x_2*x_2: sumcxxi_2_3 := sumcxxi_2_2 + c_2_3*x_2*x_3: sumcxxi_2_4 := sumcxxi_2_3 + c_2_4*x_2*x_4: sumcxxi_2_5 := sumcxxi_2_4 + c_2_5*x_2*x_5: sumcxxi_3_1 := sumcxxi_3_0 + c_3_1*x_3*x_1: sumcxxi_3_2 := sumcxxi_3_1 + c_3_2*x_3*x_2: sumcxxi_3_3 := sumcxxi_3_2 + c_3_3*x_3*x_3: sumcxxi_3_4 := sumcxxi_3_3 + c_3_4*x_3*x_4: sumcxxi_3_5 := sumcxxi_3_4 + c_3_5*x_3*x_5: sumcxxi_4_1 := sumcxxi_4_0 + c_4_1*x_4*x_1: sumcxxi_4_2 := sumcxxi_4_1 + c_4_2*x_4*x_2: sumcxxi_4_3 := sumcxxi_4_2 + c_4_3*x_4*x_3: sumcxxi_4_4 := sumcxxi_4_3 + c_4_4*x_4*x_4: sumcxxi_4_5 := sumcxxi_4_4 + c_4_5*x_4*x_5: sumcxxi_5_1 := sumcxxi_5_0 + c_5_1*x_5*x_1: sumcxxi_5_2 := sumcxxi_5_1 + c_5_2*x_5*x_2: sumcxxi_5_3 := sumcxxi_5_2 + c_5_3*x_5*x_3: sumcxxi_5_4 := sumcxxi_5_3 + c_5_4*x_5*x_4: sumcxxi_5_5 := sumcxxi_5_4 + c_5_5*x_5*x_5: sumcxx_1 := sumcxx_0 + sumcxxi_1_5: sumcxx_2 := sumcxx_1 + sumcxxi_2_5: sumcxx_3 := sumcxx_2 + sumcxxi_3_5: sumcxx_4 := sumcxx_3 + sumcxxi_4_5: sumcxx_5 := sumcxx_4 + sumcxxi_5_5: sumdx_1 := sumdx_0 + d_1*x_1^3: sumdx_2 := sumdx_1 + d_2*x_2^3: sumdx_3 := sumdx_2 + d_3*x_3^3: sumdx_4 := sumdx_3 + d_4*x_4^3: sumdx_5 := sumdx_4 + d_5*x_5^3: mf := sumex_5 + sumcxx_5 + sumdx_5: myminfun := mf: myabsdevnod0_0 := myownabs(myminfun + 32.34867896572271): myreldevnod0_0 := myownabs(myminfun/32.34867896572271 + 1): myabsdevnod0_1 := myownabs(x_1 - 0.3): myreldevnod0_1 := myownabs(x_1/0.3 - 1): myabsdevnod0_2 := myownabs(x_2 - 0.3334676065346071): myreldevnod0_2 := myownabs(x_2/0.3334676065346071 - 1): myabsdevnod0_3 := myownabs(x_3 - 0.4): myreldevnod0_3 := myownabs(x_3/0.4 - 1): myabsdevnod0_4 := myownabs(x_4 - 0.4283101047816988): myreldevnod0_4 := myownabs(x_4/0.4283101047816988 - 1): myabsdevnod0_5 := myownabs(x_5 - 0.2239648735607981): myreldevnod0_5 := myownabs(x_5/0.2239648735607981 - 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)): 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 := myabsdevnod1_4: myreldevnod2_4 := myreldevnod1_4: 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): fmcInequality(ci_1, ineq_1): fmcInequality(ci_2, ineq_2): fmcInequality(ci_3, ineq_3): fmcInequality(ci_4, ineq_4): fmcInequality(ci_5, ineq_5): fmcInequality(ci_6, ineq_6): fmcInequality(ci_7, ineq_7): fmcInequality(ci_8, ineq_8): fmcInequality(ci_9, ineq_9): fmcInequality(ci_10, ineq_10): 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('myminfun', myminfun): fmcEscortFloat('zmyabsdevmax', zmyabsdevmax): fmcEscortFloat('zmyreldevmax', zmyreldevmax): fmcControlMinimum(1, 0): # End Model