fmcmac/tp080.mac


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fmcTitle("tp080")$
/* Source version 1 */
/* Simple APM canonicalizer version 1.3 */
/* FMCMAC backend version 1.2 */
myownabs(x) := fmc_m_abs(x)$
fmcInitialValue(x_1, -2)$
fmcStrongLowerBound(x_1, -2.3b0)$
fmcStrongUpperBound(x_1, 2.3b0)$
fmcInitialValue(x_2, 2)$
fmcStrongLowerBound(x_2, -2.3b0)$
fmcStrongUpperBound(x_2, 2.3b0)$
fmcInitialValue(x_3, 2)$
fmcStrongLowerBound(x_3, -3.2b0)$
fmcStrongUpperBound(x_3, 3.2b0)$
fmcInitialValue(x_4, -1)$
fmcStrongLowerBound(x_4, -3.2b0)$
fmcStrongUpperBound(x_4, 3.2b0)$
fmcInitialValue(x_5, -1)$
fmcStrongLowerBound(x_5, -3.2b0)$
fmcStrongUpperBound(x_5, 3.2b0)$
myminfun : exp(x_1*x_2*x_3*x_4*x_5)$
myabsdevnod0_0 : myownabs(myminfun - 0.05394984777027201b0)$
myreldevnod0_0 : myownabs(myminfun/0.05394984777027201b0 - 1)$
myabsdevnod0_1 : myownabs(x_1 + 1.717143570394382b0)$
myreldevnod0_1 : myownabs(x_1/1.717143570394382b0 + 1)$
myabsdevnod0_2 : myownabs(x_2 - 1.595709690183554b0)$
myreldevnod0_2 : myownabs(x_2/1.595709690183554b0 - 1)$
myabsdevnod0_3 : myownabs(x_3 - 1.827245752927195b0)$
myreldevnod0_3 : myownabs(x_3/1.827245752927195b0 - 1)$
myabsdevnod0_4 : myownabs(x_4 + 0.7636430781841304b0)$
myreldevnod0_4 : myownabs(x_4/0.7636430781841304b0 + 1)$
myabsdevnod0_5 : myownabs(x_5 + 0.7636430781841304b0)$
myreldevnod0_5 : myownabs(x_5/0.7636430781841304b0 + 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))$
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 : myabsdevnod1_4$
myreldevnod2_4 : myreldevnod1_4$
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_1^2 + x_2^2 + x_3^2 + x_4^2 + x_5^2 - 10)$
fmcEquality(ce_2, x_2*x_3 - 5*x_4*x_5)$
fmcEquality(ce_3, x_1^3 + x_2^3 + 1)$
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('myminfun, myminfun)$
fmcEscortFloat('zmyabsdevmax, zmyabsdevmax)$
fmcEscortFloat('zmyreldevmax, zmyreldevmax)$
fmcControlMinimum(1, 0)$
/* End Model */

Stephan K.H. Seidl