fmcmac/tp100.mac


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fmcTitle("tp100")$
/* Source version 1 */
/* Simple APM canonicalizer version 1.3 */
/* FMCMAC backend version 1.2 */
myownabs(x) := fmc_m_abs(x)$
fmcInitialValue(x_1, 1)$
fmcInitialValue(x_2, 2)$
fmcInitialValue(x_3, 0)$
fmcInitialValue(x_4, 4)$
fmcInitialValue(x_5, 0)$
fmcInitialValue(x_6, 1)$
fmcInitialValue(x_7, 1)$
c_1 : 127 - 2*x_1^2 - 3*x_2^4 - x_3 - 4*x_4^2 - 5*x_5$
c_2 : 282 - 7*x_1 - 3*x_2 - 10*x_3^2 - x_4 + x_5$
c_3 : 196 - 23*x_1 - x_2^2 - 6*x_6^2 + 8*x_7$
c_4 : (-4)*x_1^2 - x_2^2 + 3*x_1*x_2 - 2*x_3^2 - 5*x_6 +11*x_7$
mf : (x_1 - 10)^2 + 5*(x_2 - 12)^2 + x_3^4 + 3*(x_4 - 11)^2 + 10*x_5^6 + 7*x_6^2 + x_7^4 - 4*x_6*x_7 -
10*x_6 - 8*x_7$
myminfun : mf$
myabsdevnod0_0 : myownabs(myminfun - 680.6300573744021b0)$
myreldevnod0_0 : myownabs(myminfun/680.6300573744021b0 - 1)$
myabsdevnod0_1 : myownabs(x_1 - 2.33049937287957b0)$
myreldevnod0_1 : myownabs(x_1/2.33049937287957b0 - 1)$
myabsdevnod0_2 : myownabs(x_2 - 1.951372372896889b0)$
myreldevnod0_2 : myownabs(x_2/1.951372372896889b0 - 1)$
myabsdevnod0_3 : myownabs(x_3 + 0.4775413923888715b0)$
myreldevnod0_3 : myownabs(x_3/0.4775413923888715b0 + 1)$
myabsdevnod0_4 : myownabs(x_4 - 4.36572623365581b0)$
myreldevnod0_4 : myownabs(x_4/4.36572623365581b0 - 1)$
myabsdevnod0_5 : myownabs(x_5 + 0.6244869705268174b0)$
myreldevnod0_5 : myownabs(x_5/0.6244869705268174b0 + 1)$
myabsdevnod0_6 : myownabs(x_6 - 1.038131018607958b0)$
myreldevnod0_6 : myownabs(x_6/1.038131018607958b0 - 1)$
myabsdevnod0_7 : myownabs(x_7 - 1.594226711611868b0)$
myreldevnod0_7 : myownabs(x_7/1.594226711611868b0 - 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)$
fmcInequality(ci_1, c_1)$
fmcInequality(ci_2, c_2)$
fmcInequality(ci_3, c_3)$
fmcInequality(ci_4, c_4)$
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