fmcmac/tp113.mac


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fmcTitle("tp113")$
/* Source version 1 */
/* Simple APM canonicalizer version 1.3 */
/* FMCMAC backend version 1.2 */
myownabs(x) := fmc_m_abs(x)$
fmcInitialValue(x_1, 2)$
fmcInitialValue(x_2, 3)$
fmcInitialValue(x_3, 5)$
fmcInitialValue(x_4, 5)$
fmcInitialValue(x_5, 1)$
fmcInitialValue(x_6, 2)$
fmcInitialValue(x_7, 7)$
fmcInitialValue(x_8, 3)$
fmcInitialValue(x_9, 6)$
fmcInitialValue(x_10, 10)$
c_1 : 105 - 4*x_1 - 5*x_2 + 3*x_7 - 9*x_8$
c_2 : (-1)*10*x_1 + 8*x_2 + 17*x_7 - 2*x_8$
c_3 : 8*x_1 - 2*x_2 - 5*x_9 + 2*x_10 + 12$
c_4 : (-3)*(x_1 - 2)^2 - 4*(x_2 - 3)^2 - 2*x_3^2 + 7*x_4 + 120$
c_5 : (-5)*x_1^2 - 8*x_2 - (x_3 - 6)^2 + 2*x_4 + 40$
c_6 : (-1/2)*(x_1 - 8)^2 - 2*(x_2 - 4)^2 - 3*x_5^2 + x_6 + 30$
c_7 : (-1)*x_1^2 - 2*(x_2 - 2)^2 + 2*x_1*x_2 - 14*x_5 + 6*x_6$
c_8 : 3*x_1 - 6*x_2 - 12*(x_9 - 8)^2 + 7*x_10$
mf : x_1^2 + x_2^2 + x_1*x_2 - 14*x_1 - 16*x_2 + (x_3 - 10)^2 + 4*(x_4 - 5)^2 + (x_5 - 3)^2 + 2*(x_6 - 1)^2
+ 5*x_7^2 + 7*(x_8 - 11)^2 + 2*(x_9 - 10)^2 + (x_10 - 7)^2 + 45$
myminfun : mf$
myabsdevnod0_0 : myownabs(myminfun - 24.30620906817981b0)$
myreldevnod0_0 : myownabs(myminfun/24.30620906817981b0 - 1)$
myabsdevnod0_1 : myownabs(x_1 - 2.171996371255455b0)$
myreldevnod0_1 : myownabs(x_1/2.171996371255455b0 - 1)$
myabsdevnod0_2 : myownabs(x_2 - 2.36368297369728b0)$
myreldevnod0_2 : myownabs(x_2/2.36368297369728b0 - 1)$
myabsdevnod0_3 : myownabs(x_3 - 8.77392573847685b0)$
myreldevnod0_3 : myownabs(x_3/8.77392573847685b0 - 1)$
myabsdevnod0_4 : myownabs(x_4 - 5.095984487948453b0)$
myreldevnod0_4 : myownabs(x_4/5.095984487948453b0 - 1)$
myabsdevnod0_5 : myownabs(x_5 - 0.9906547649638592b0)$
myreldevnod0_5 : myownabs(x_5/0.9906547649638592b0 - 1)$
myabsdevnod0_6 : myownabs(x_6 - 1.430573978936316b0)$
myreldevnod0_6 : myownabs(x_6/1.430573978936316b0 - 1)$
myabsdevnod0_7 : myownabs(x_7 - 1.321644208161703b0)$
myreldevnod0_7 : myownabs(x_7/1.321644208161703b0 - 1)$
myabsdevnod0_8 : myownabs(x_8 - 9.828725807886321b0)$
myreldevnod0_8 : myownabs(x_8/9.828725807886321b0 - 1)$
myabsdevnod0_9 : myownabs(x_9 - 8.280091670098346b0)$
myreldevnod0_9 : myownabs(x_9/8.280091670098346b0 - 1)$
myabsdevnod0_10 : myownabs(x_10 - 8.375926663921323b0)$
myreldevnod0_10 : myownabs(x_10/8.375926663921323b0 - 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))$
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 : myabsdevnod0_10$
myreldevnod1_10 : myreldevnod0_10$
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))$
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)$
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('myminfun, myminfun)$
fmcEscortFloat('zmyabsdevmax, zmyabsdevmax)$
fmcEscortFloat('zmyreldevmax, zmyreldevmax)$
fmcControlMinimum(1, 0)$
/* End Model */

Stephan K.H. Seidl