fmcmac/tp119.mac


If Cut/Copy and Paste fails, then click here for download.


fmcTitle("tp119")$
/* Source version 1 */
/* Simple APM canonicalizer version 1.3 */
/* FMCMAC backend version 1.2 */
myownabs(x) := fmc_m_abs(x)$
fmcInitialValue(x_1, 10)$
fmcStrongLowerBound(x_1, 0)$
fmcStrongUpperBound(x_1, 5)$
fmcInitialValue(x_2, 10)$
fmcStrongLowerBound(x_2, 0)$
fmcStrongUpperBound(x_2, 5)$
fmcInitialValue(x_3, 10)$
fmcStrongLowerBound(x_3, 0)$
fmcStrongUpperBound(x_3, 5)$
fmcInitialValue(x_4, 10)$
fmcStrongLowerBound(x_4, 0)$
fmcStrongUpperBound(x_4, 5)$
fmcInitialValue(x_5, 10)$
fmcStrongLowerBound(x_5, 0)$
fmcStrongUpperBound(x_5, 5)$
fmcInitialValue(x_6, 10)$
fmcStrongLowerBound(x_6, 0)$
fmcStrongUpperBound(x_6, 5)$
fmcInitialValue(x_7, 10)$
fmcStrongLowerBound(x_7, 0)$
fmcStrongUpperBound(x_7, 5)$
fmcInitialValue(x_8, 10)$
fmcStrongLowerBound(x_8, 0)$
fmcStrongUpperBound(x_8, 5)$
fmcInitialValue(x_9, 10)$
fmcStrongLowerBound(x_9, 0)$
fmcStrongUpperBound(x_9, 5)$
fmcInitialValue(x_10, 10)$
fmcStrongLowerBound(x_10, 0)$
fmcStrongUpperBound(x_10, 5)$
fmcInitialValue(x_11, 10)$
fmcStrongLowerBound(x_11, 0)$
fmcStrongUpperBound(x_11, 5)$
fmcInitialValue(x_12, 10)$
fmcStrongLowerBound(x_12, 0)$
fmcStrongUpperBound(x_12, 5)$
fmcInitialValue(x_13, 10)$
fmcStrongLowerBound(x_13, 0)$
fmcStrongUpperBound(x_13, 5)$
fmcInitialValue(x_14, 10)$
fmcStrongLowerBound(x_14, 0)$
fmcStrongUpperBound(x_14, 5)$
fmcInitialValue(x_15, 10)$
fmcStrongLowerBound(x_15, 0)$
fmcStrongUpperBound(x_15, 5)$
fmcInitialValue(x_16, 10)$
fmcStrongLowerBound(x_16, 0)$
fmcStrongUpperBound(x_16, 5)$
c_1 : 0.22b0*x_1 + 0.2b0*x_2 + 0.19b0*x_3 + 0.25b0*x_4 + 0.15b0*x_5 + 0.11b0*x_6 + 0.12b0*x_7 + 0.13b0*x_8 + x_9 - 2.5b0$
c_2 : (-1.46b0)*x_1 - 1.3b0*x_3 + 1.82b0*x_4 - 1.15b0*x_5 + 0.8b0*x_7 + x_10 - 1.1b0$
c_3 : 1.29b0*x_1 - 0.89b0*x_2 - 1.16b0*x_5 - 0.96b0*x_6 - 0.49b0*x_8 + x_11 + 3.1b0$
c_4 : (-1.1b0)*x_1 - 1.06b0*x_2 + 0.95b0*x_3 - 0.54b0*x_4 - 1.78b0*x_6 - 0.41b0*x_7 + x_12 + 3.5b0$
c_5 : (-1.43b0)*x_4 + 1.51b0*x_5 + 0.59b0*x_6 - 0.33b0*x_7 - 0.43b0*x_8 + x_13 - 1.3b0$
c_6 : (-1.72b0)*x_2 - 0.33b0*x_3 + 1.62b0*x_5 + 1.24b0*x_6 + 0.21b0*x_7 - 0.26b0*x_8 + x_14 - 2.1b0$
c_7 : 1.12b0*x_1 + 0.31b0*x_4 + 1.12b0*x_7 - 0.36b0*x_9 + x_15 - 2.3b0$
c_8 : 0.45b0*x_2 + 0.26b0*x_3 - 1.1b0*x_4 + 0.58b0*x_5 - 1.03b0*x_7 + 0.1b0*x_8 + x_16 + 1.5b0$
s_1 : (x_1^2 + x_1 + 1) * (x_1^2 + x_1 + 1)$
s_2 : s_1 + (x_1^2 + x_1 + 1) * (x_4^2 + x_4 + 1)$
s_3 : s_2 + (x_1^2 + x_1 + 1) * (x_7^2 + x_7 + 1)$
s_4 : s_3 + (x_1^2 + x_1 + 1) * (x_8^2 + x_8 + 1)$
s_5 : s_4 + (x_1^2 + x_1 + 1) * (x_16^2 + x_16 + 1)$
s_6 : s_5 + (x_2^2 + x_2 + 1) * (x_2^2 + x_2 + 1)$
s_7 : s_6 + (x_2^2 + x_2 + 1) * (x_3^2 + x_3 + 1)$
s_8 : s_7 + (x_2^2 + x_2 + 1) * (x_7^2 + x_7 + 1)$
s_9 : s_8 + (x_2^2 + x_2 + 1) * (x_10^2 + x_10 + 1)$
s_10 : s_9 + (x_3^2 + x_3 + 1) * (x_3^2 + x_3 + 1)$
s_11 : s_10 + (x_3^2 + x_3 + 1) * (x_7^2 + x_7 + 1)$
s_12 : s_11 + (x_3^2 + x_3 + 1) * (x_9^2 + x_9 + 1)$
s_13 : s_12 + (x_3^2 + x_3 + 1) * (x_10^2 + x_10 + 1)$
s_14 : s_13 + (x_3^2 + x_3 + 1) * (x_14^2 + x_14 + 1)$
s_15 : s_14 + (x_4^2 + x_4 + 1) * (x_4^2 + x_4 + 1)$
s_16 : s_15 + (x_4^2 + x_4 + 1) * (x_7^2 + x_7 + 1)$
s_17 : s_16 + (x_4^2 + x_4 + 1) * (x_11^2 + x_11 + 1)$
s_18 : s_17 + (x_4^2 + x_4 + 1) * (x_15^2 + x_15 + 1)$
s_19 : s_18 + (x_5^2 + x_5 + 1) * (x_5^2 + x_5 + 1)$
s_20 : s_19 + (x_5^2 + x_5 + 1) * (x_6^2 + x_6 + 1)$
s_21 : s_20 + (x_5^2 + x_5 + 1) * (x_10^2 + x_10 + 1)$
s_22 : s_21 + (x_5^2 + x_5 + 1) * (x_12^2 + x_12 + 1)$
s_23 : s_22 + (x_5^2 + x_5 + 1) * (x_16^2 + x_16 + 1)$
s_24 : s_23 + (x_6^2 + x_6 + 1) * (x_6^2 + x_6 + 1)$
s_25 : s_24 + (x_6^2 + x_6 + 1) * (x_8^2 + x_8 + 1)$
s_26 : s_25 + (x_6^2 + x_6 + 1) * (x_15^2 + x_15 + 1)$
s_27 : s_26 + (x_7^2 + x_7 + 1) * (x_7^2 + x_7 + 1)$
s_28 : s_27 + (x_7^2 + x_7 + 1) * (x_11^2 + x_11 + 1)$
s_29 : s_28 + (x_7^2 + x_7 + 1) * (x_13^2 + x_13 + 1)$
s_30 : s_29 + (x_8^2 + x_8 + 1) * (x_8^2 + x_8 + 1)$
s_31 : s_30 + (x_8^2 + x_8 + 1) * (x_10^2 + x_10 + 1)$
s_32 : s_31 + (x_8^2 + x_8 + 1) * (x_15^2 + x_15 + 1)$
s_33 : s_32 + (x_9^2 + x_9 + 1) * (x_9^2 + x_9 + 1)$
s_34 : s_33 + (x_9^2 + x_9 + 1) * (x_12^2 + x_12 + 1)$
s_35 : s_34 + (x_9^2 + x_9 + 1) * (x_16^2 + x_16 + 1)$
s_36 : s_35 + (x_10^2 + x_10 + 1) * (x_10^2 + x_10 + 1)$
s_37 : s_36 + (x_10^2 + x_10 + 1) * (x_14^2 + x_14 + 1)$
s_38 : s_37 + (x_11^2 + x_11 + 1) * (x_11^2 + x_11 + 1)$
s_39 : s_38 + (x_11^2 + x_11 + 1) * (x_13^2 + x_13 + 1)$
s_40 : s_39 + (x_12^2 + x_12 + 1) * (x_12^2 + x_12 + 1)$
s_41 : s_40 + (x_12^2 + x_12 + 1) * (x_14^2 + x_14 + 1)$
s_42 : s_41 + (x_13^2 + x_13 + 1) * (x_13^2 + x_13 + 1)$
s_43 : s_42 + (x_13^2 + x_13 + 1) * (x_14^2 + x_14 + 1)$
s_44 : s_43 + (x_14^2 + x_14 + 1) * (x_14^2 + x_14 + 1)$
s_45 : s_44 + (x_15^2 + x_15 + 1) * (x_15^2 + x_15 + 1)$
s_46 : s_45 + (x_16^2 + x_16 + 1) * (x_16^2 + x_16 + 1)$
mf : s_46$
myminfun : mf$
myabsdevnod0_0 : myownabs(myminfun - 244.8996975168009b0)$
myreldevnod0_0 : myownabs(myminfun/244.8996975168009b0 - 1)$
myabsdevnod0_1 : myownabs(x_1 - 0.0398473514111225b0)$
myreldevnod0_1 : myownabs(x_1/0.0398473514111225b0 - 1)$
myabsdevnod0_2 : myownabs(x_2 - 0.7919831556883808b0)$
myreldevnod0_2 : myownabs(x_2/0.7919831556883808b0 - 1)$
myabsdevnod0_3 : myownabs(x_3 - 0.202870330251036b0)$
myreldevnod0_3 : myownabs(x_3/0.202870330251036b0 - 1)$
myabsdevnod0_4 : myownabs(x_4 - 0.844357916365675b0)$
myreldevnod0_4 : myownabs(x_4/0.844357916365675b0 - 1)$
myabsdevnod0_5 : myownabs(x_5 - 1.269906452866503b0)$
myreldevnod0_5 : myownabs(x_5/1.269906452866503b0 - 1)$
myabsdevnod0_6 : myownabs(x_6 - 0.934738707824643b0)$
myreldevnod0_6 : myownabs(x_6/0.934738707824643b0 - 1)$
myabsdevnod0_7 : myownabs(x_7 - 1.681961969246919b0)$
myreldevnod0_7 : myownabs(x_7/1.681961969246919b0 - 1)$
myabsdevnod0_8 : myownabs(x_8 - 0.1553008773895687b0)$
myreldevnod0_8 : myownabs(x_8/0.1553008773895687b0 - 1)$
myabsdevnod0_9 : myownabs(x_9 - 1.567870333551801b0)$
myreldevnod0_9 : myownabs(x_9/1.567870333551801b0 - 1)$
myabsdevnod0_10 : myownabs(x_10)$
myreldevnod0_10 : myownabs(x_10)$
myabsdevnod0_11 : myownabs(x_11)$
myreldevnod0_11 : myownabs(x_11)$
myabsdevnod0_12 : myownabs(x_12)$
myreldevnod0_12 : myownabs(x_12)$
myabsdevnod0_13 : myownabs(x_13 - 0.6602040660869546b0)$
myreldevnod0_13 : myownabs(x_13/0.6602040660869546b0 - 1)$
myabsdevnod0_14 : myownabs(x_14)$
myreldevnod0_14 : myownabs(x_14)$
myabsdevnod0_15 : myownabs(x_15 - 0.6742559268682825b0)$
myreldevnod0_15 : myownabs(x_15/0.6742559268682825b0 - 1)$
myabsdevnod0_16 : myownabs(x_16)$
myreldevnod0_16 : myownabs(x_16)$
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))$
myabsdevnod1_10 : (1/2)*(myownabs(myabsdevnod0_10 - myabsdevnod0_11) + (myabsdevnod0_10 + myabsdevnod0_11))$
myreldevnod1_10 : (1/2)*(myownabs(myreldevnod0_10 - myreldevnod0_11) + (myreldevnod0_10 + myreldevnod0_11))$
myabsdevnod1_12 : (1/2)*(myownabs(myabsdevnod0_12 - myabsdevnod0_13) + (myabsdevnod0_12 + myabsdevnod0_13))$
myreldevnod1_12 : (1/2)*(myownabs(myreldevnod0_12 - myreldevnod0_13) + (myreldevnod0_12 + myreldevnod0_13))$
myabsdevnod1_14 : (1/2)*(myownabs(myabsdevnod0_14 - myabsdevnod0_15) + (myabsdevnod0_14 + myabsdevnod0_15))$
myreldevnod1_14 : (1/2)*(myownabs(myreldevnod0_14 - myreldevnod0_15) + (myreldevnod0_14 + myreldevnod0_15))$
myabsdevnod1_16 : myabsdevnod0_16$
myreldevnod1_16 : myreldevnod0_16$
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 : (1/2)*(myownabs(myabsdevnod1_8 - myabsdevnod1_10) + (myabsdevnod1_8 + myabsdevnod1_10))$
myreldevnod2_8 : (1/2)*(myownabs(myreldevnod1_8 - myreldevnod1_10) + (myreldevnod1_8 + myreldevnod1_10))$
myabsdevnod2_12 : (1/2)*(myownabs(myabsdevnod1_12 - myabsdevnod1_14) + (myabsdevnod1_12 + myabsdevnod1_14))$
myreldevnod2_12 : (1/2)*(myownabs(myreldevnod1_12 - myreldevnod1_14) + (myreldevnod1_12 + myreldevnod1_14))$
myabsdevnod2_16 : myabsdevnod1_16$
myreldevnod2_16 : myreldevnod1_16$
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 : (1/2)*(myownabs(myabsdevnod2_8 - myabsdevnod2_12) + (myabsdevnod2_8 + myabsdevnod2_12))$
myreldevnod3_8 : (1/2)*(myownabs(myreldevnod2_8 - myreldevnod2_12) + (myreldevnod2_8 + myreldevnod2_12))$
myabsdevnod3_16 : myabsdevnod2_16$
myreldevnod3_16 : myreldevnod2_16$
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))$
myabsdevnod4_16 : myabsdevnod3_16$
myreldevnod4_16 : myreldevnod3_16$
myabsdevnod5_0 : (1/2)*(myownabs(myabsdevnod4_0 - myabsdevnod4_16) + (myabsdevnod4_0 + myabsdevnod4_16))$
myreldevnod5_0 : (1/2)*(myownabs(myreldevnod4_0 - myreldevnod4_16) + (myreldevnod4_0 + myreldevnod4_16))$
zmyabsdevmax : myabsdevnod5_0$
zmyreldevmax : myreldevnod5_0$
obj : myminfun$
fmcMinimum(obj)$
fmcEquality(ce_1, c_1)$
fmcEquality(ce_2, c_2)$
fmcEquality(ce_3, c_3)$
fmcEquality(ce_4, c_4)$
fmcEquality(ce_5, c_5)$
fmcEquality(ce_6, c_6)$
fmcEquality(ce_7, c_7)$
fmcEquality(ce_8, c_8)$
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(x_10, x_10)$
fmcEscortFloat(x_11, x_11)$
fmcEscortFloat(x_12, x_12)$
fmcEscortFloat(x_13, x_13)$
fmcEscortFloat(x_14, x_14)$
fmcEscortFloat(x_15, x_15)$
fmcEscortFloat(x_16, x_16)$
fmcEscortFloat('myminfun, myminfun)$
fmcEscortFloat('zmyabsdevmax, zmyabsdevmax)$
fmcEscortFloat('zmyreldevmax, zmyreldevmax)$
fmcControlMinimum(1, 0)$
/* End Model */

Stephan K.H. Seidl