fmcmac/tp108r.mac


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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 */

Stephan K.H. Seidl