fmcTitle("tp108r")$ /* Source version 1 */ /* Simple APM canonicalizer version 1.3 */ /* FMCMAC backend version 1.2 */ myownabs(x) := fmc_m_abs(x)$ 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 + 0.8660254037844386b0)$ myreldevnod0_0 : myownabs(myminfun/0.8660254037844386b0 + 1)$ myabsdevnod0_1 : myownabs(x_1 - 0.5547001962252291b0)$ myreldevnod0_1 : myownabs(x_1/0.5547001962252291b0 - 1)$ myabsdevnod0_2 : myownabs(x_2 - 0.8320502943378437b0)$ myreldevnod0_2 : myownabs(x_2/0.8320502943378437b0 - 1)$ myabsdevnod0_3 : myownabs(x_3 + 0.4432265940102775b0)$ myreldevnod0_3 : myownabs(x_3/0.4432265940102775b0 + 1)$ myabsdevnod0_4 : myownabs(x_4 - 0.8964096085841832b0)$ myreldevnod0_4 : myownabs(x_4/0.8964096085841832b0 - 1)$ myabsdevnod0_5 : myownabs(x_5 - 0.5547001962252291b0)$ myreldevnod0_5 : myownabs(x_5/0.5547001962252291b0 - 1)$ myabsdevnod0_6 : myownabs(x_6 - 0.8320502943378437b0)$ myreldevnod0_6 : myownabs(x_6/0.8320502943378437b0 - 1)$ myabsdevnod0_7 : myownabs(x_7 + 0.4432265940102775b0)$ myreldevnod0_7 : myownabs(x_7/0.4432265940102775b0 + 1)$ myabsdevnod0_8 : myownabs(x_8 - 0.8964096085841832b0)$ myreldevnod0_8 : myownabs(x_8/0.8964096085841832b0 - 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 */