fmcmap/tp109.map


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fmcTitle("tp109"):
# Source version 1
# Simple APM canonicalizer version 1.3
# FMCMAP back end version 1.1
asin := proc(x::algebraic) local y: y := arcsin(x): RETURN(y): end:
atan := proc(x::algebraic) local y: y := arctan(x): RETURN(y): end:
myownabs := proc(x::algebraic) local y: y := fmc_m_abs(x): RETURN(y): end:
c22938a := -22.938:
c22938b := 22.938:
c22938 := c22938a:
a := 50.176:
arg := 0.25:
b := sin(arg):
c := cos(arg):
fmcInitialValue('x_1', 0):
fmcStrongLowerBound('x_1', 0):
fmcInitialValue('x_2', 0):
fmcStrongLowerBound('x_2', 0):
fmcInitialValue('x_3', 0):
fmcStrongLowerBound('x_3', -0.55):
fmcStrongUpperBound('x_3', 0.55):
fmcInitialValue('x_4', 0):
fmcStrongLowerBound('x_4', -0.55):
fmcStrongUpperBound('x_4', 0.55):
fmcInitialValue('x_5', 0):
fmcStrongLowerBound('x_5', 196):
fmcStrongUpperBound('x_5', 252):
fmcInitialValue('x_6', 0):
fmcStrongLowerBound('x_6', 196):
fmcStrongUpperBound('x_6', 252):
fmcInitialValue('x_7', 0):
fmcStrongLowerBound('x_7', 196):
fmcStrongUpperBound('x_7', 252):
fmcInitialValue('x_8', 0):
fmcStrongLowerBound('x_8', -400):
fmcStrongUpperBound('x_8', 800):
fmcInitialValue('x_9', 0):
fmcStrongLowerBound('x_9', -400):
fmcStrongUpperBound('x_9', 800):
cf_1 := x_4 - x_3 + .55:
cf_2 := x_3 - x_4 + .55:
cf_3 := 2250000 - x_1^2 - x_8^2:
cf_4 := 2250000 - x_2^2 - x_9^2:
cf_5 := x_5*x_6*sin((-1)*x_3 - 1/4) + x_5*x_7*sin((-1)*x_4 - 1/4) + 2*b*x_5^2 - a*x_1 + 400*a:
cf_6 := x_5*x_6*sin(x_3 - 1/4) + x_6*x_7*sin(x_3 - x_4 - 1/4) + 2*b*x_6^2 - a*x_2 + 400*a:
cf_7 := x_5*x_7*sin(x_4 - 1/4) + x_6*x_7*sin(x_4 - x_3 - 1/4) + 2*b*x_7^2 + 881.779*a:
cf_8 := a*x_8 + x_5*x_6*cos((-1)*x_3 - 1/4) + x_5*x_7*cos((-1)*x_4 - 1/4) - 200*a - 2*c*x_5^2 +
0.7533e-3*a*x_5^2:
cf_9 := a*x_9 + x_5*x_6*cos(x_3 - 1/4) + x_6*x_7*cos(x_3 - x_4 - 1/4) - 2*c*x_6^2 + 0.7533e-3*a*x_6^2 - 200*a:
cf_10 := x_5*x_7*cos(x_4 - 1/4) + x_6*x_7*cos(x_4 - x_3 - 1/4) - 2*c*x_7^2 + c22938*a + 0.7533e-3*a*x_7^2:
mf := 3*x_1 + 1.0e-6*x_1^3 + 2*x_2 + 0.522074e-6*x_2^3:
myminfun := mf:
myabsdevnod0_0 := myownabs(myminfun - 5362.069181109596):
myreldevnod0_0 := myownabs(myminfun/5362.069181109596 - 1):
myabsdevnod0_1 := myownabs(x_1 - 675.0253392597418):
myreldevnod0_1 := myownabs(x_1/675.0253392597418 - 1):
myabsdevnod0_2 := myownabs(x_2 - 1134.021089714841):
myreldevnod0_2 := myownabs(x_2/1134.021089714841 - 1):
myabsdevnod0_3 := myownabs(x_3 - 0.1334850509182756):
myreldevnod0_3 := myownabs(x_3/0.1334850509182756 - 1):
myabsdevnod0_4 := myownabs(x_4 + 0.37119026264778):
myreldevnod0_4 := myownabs(x_4/0.37119026264778 + 1):
myabsdevnod0_5 := myownabs(x_5 - 252):
myreldevnod0_5 := myownabs(x_5/252 - 1):
myabsdevnod0_6 := myownabs(x_6 - 252):
myreldevnod0_6 := myownabs(x_6/252 - 1):
myabsdevnod0_7 := myownabs(x_7 - 201.4658577338128):
myreldevnod0_7 := myownabs(x_7/201.4658577338128 - 1):
myabsdevnod0_8 := myownabs(x_8 - 426.6190056621182):
myreldevnod0_8 := myownabs(x_8/426.6190056621182 - 1):
myabsdevnod0_9 := myownabs(x_9 - 368.4881990875219):
myreldevnod0_9 := myownabs(x_9/368.4881990875219 - 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)):
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):
fmcEquality('ce_1', cf_5):
fmcEquality('ce_2', cf_6):
fmcEquality('ce_3', cf_7):
fmcEquality('ce_4', cf_8):
fmcEquality('ce_5', cf_9):
fmcEquality('ce_6', cf_10):
fmcInequality('ci_1', cf_1):
fmcInequality('ci_2', cf_2):
fmcInequality('ci_3', cf_3):
fmcInequality('ci_4', cf_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('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