fmcmac/tp056r.mac


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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 */

Stephan K.H. Seidl