fmcTitle("tp056r")$ /* Source version 1 */ /* Simple APM canonicalizer version 1.3 */ /* FMCMAC backend version 1.2 */ myownabs(x) := fmc_m_abs(x)$ 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 + 3.456b0)$ myreldevnod0_0 : myownabs(myminfun/3.456b0 + 1)$ myabsdevnod0_1 : myownabs(x_1 - 2.4b0)$ myreldevnod0_1 : myownabs(x_1/2.4b0 - 1)$ myabsdevnod0_2 : myownabs(x_2 - 1.2b0)$ myreldevnod0_2 : myownabs(x_2/1.2b0 - 1)$ myabsdevnod0_3 : myownabs(x_3 - 1.2b0)$ myreldevnod0_3 : myownabs(x_3/1.2b0 - 1)$ myabsdevnod0_4 : myownabs(x_4 - 0.857071947850131b0)$ myreldevnod0_4 : myownabs(x_4/0.857071947850131b0 - 1)$ myabsdevnod0_5 : myownabs(x_5 - 0.5639426413606288b0)$ myreldevnod0_5 : myownabs(x_5/0.5639426413606288b0 - 1)$ myabsdevnod0_6 : myownabs(x_6 - 0.5639426413606288b0)$ myreldevnod0_6 : myownabs(x_6/0.5639426413606288b0 - 1)$ myabsdevnod0_7 : myownabs(x_7 - 1.570796326794897b0)$ myreldevnod0_7 : myownabs(x_7/1.570796326794897b0 - 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 - 4.2b0*sin(x_4)^2)$ fmcEquality(ce_2, x_2 - 4.2b0*sin(x_5)^2)$ fmcEquality(ce_3, x_3 - 4.2b0*sin(x_6)^2)$ fmcEquality(ce_4, x_1 + 2*x_2 + 2*x_3 - 7.2b0*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 */