fmcTitle("tp118"):
# Source version 1
# Simple APM canonicalizer version 1.3
# FMCMAP backend version 1.2
myownabs := proc(x::algebraic) return(fmc_m_abs(x)): end proc:
fmcInitialValue(x_1, 20):
fmcStrongLowerBound(x_1, 8):
fmcStrongUpperBound(x_1, 21):
fmcInitialValue(x_2, 55):
fmcStrongLowerBound(x_2, 43):
fmcStrongUpperBound(x_2, 57):
fmcInitialValue(x_3, 15):
fmcStrongLowerBound(x_3, 3):
fmcStrongUpperBound(x_3, 16):
fmcInitialValue(x_4, 20):
fmcStrongLowerBound(x_4, 0):
fmcStrongUpperBound(x_4, 90):
fmcInitialValue(x_5, 60):
fmcStrongLowerBound(x_5, 0):
fmcStrongUpperBound(x_5, 120):
fmcInitialValue(x_6, 20):
fmcStrongLowerBound(x_6, 0):
fmcStrongUpperBound(x_6, 60):
fmcInitialValue(x_7, 20):
fmcStrongLowerBound(x_7, 0):
fmcStrongUpperBound(x_7, 90):
fmcInitialValue(x_8, 60):
fmcStrongLowerBound(x_8, 0):
fmcStrongUpperBound(x_8, 120):
fmcInitialValue(x_9, 20):
fmcStrongLowerBound(x_9, 0):
fmcStrongUpperBound(x_9, 60):
fmcInitialValue(x_10, 20):
fmcStrongLowerBound(x_10, 0):
fmcStrongUpperBound(x_10, 90):
fmcInitialValue(x_11, 60):
fmcStrongLowerBound(x_11, 0):
fmcStrongUpperBound(x_11, 120):
fmcInitialValue(x_12, 20):
fmcStrongLowerBound(x_12, 0):
fmcStrongUpperBound(x_12, 60):
fmcInitialValue(x_13, 20):
fmcStrongLowerBound(x_13, 0):
fmcStrongUpperBound(x_13, 90):
fmcInitialValue(x_14, 60):
fmcStrongLowerBound(x_14, 0):
fmcStrongUpperBound(x_14, 120):
fmcInitialValue(x_15, 20):
fmcStrongLowerBound(x_15, 0):
fmcStrongUpperBound(x_15, 60):
myminfun := 2.3*x_1 + 0.0001*x_1^2 + 2.3*x_4 + 0.0001*x_4^2 + 2.3*x_7 + 0.0001*x_7^2 + 2.3*x_10 +
0.0001*x_10^2 + 2.3*x_13 + 0.0001*x_13^2 + 1.7*x_2 + 0.0001*x_2^2 + 1.7*x_5 + 0.0001*x_5^2 + 1.7*x_8 +
0.0001*x_8^2 + 1.7*x_11 + 0.0001*x_11^2 + 1.7*x_14 + 0.0001*x_14^2 + 2.2*x_3 + 0.00015*x_3^2 + 2.2*x_6 +
0.00015*x_6^2 + 2.2*x_9 + 0.00015*x_9^2 + 2.2*x_12 + 0.00015*x_12^2 + 2.2*x_15 + 0.00015*x_15^2:
myabsdevnod0_0 := myownabs(myminfun - 664.82045):
myreldevnod0_0 := myownabs(myminfun/664.82045 - 1):
myabsdevnod0_1 := myownabs(x_1 - 8):
myreldevnod0_1 := myownabs(x_1/8 - 1):
myabsdevnod0_2 := myownabs(x_2 - 49):
myreldevnod0_2 := myownabs(x_2/49 - 1):
myabsdevnod0_3 := myownabs(x_3 - 3):
myreldevnod0_3 := myownabs(x_3/3 - 1):
myabsdevnod0_4 := myownabs(x_4 - 1):
myreldevnod0_4 := myownabs(x_4 - 1):
myabsdevnod0_5 := myownabs(x_5 - 56):
myreldevnod0_5 := myownabs(x_5/56 - 1):
myabsdevnod0_6 := myownabs(x_6):
myreldevnod0_6 := myownabs(x_6):
myabsdevnod0_7 := myownabs(x_7 - 1):
myreldevnod0_7 := myownabs(x_7 - 1):
myabsdevnod0_8 := myownabs(x_8 - 63):
myreldevnod0_8 := myownabs(x_8/63 - 1):
myabsdevnod0_9 := myownabs(x_9 - 6):
myreldevnod0_9 := myownabs(x_9/6 - 1):
myabsdevnod0_10 := myownabs(x_10 - 3):
myreldevnod0_10 := myownabs(x_10/3 - 1):
myabsdevnod0_11 := myownabs(x_11 - 70):
myreldevnod0_11 := myownabs(x_11/70 - 1):
myabsdevnod0_12 := myownabs(x_12 - 12):
myreldevnod0_12 := myownabs(x_12/12 - 1):
myabsdevnod0_13 := myownabs(x_13 - 5):
myreldevnod0_13 := myownabs(x_13/5 - 1):
myabsdevnod0_14 := myownabs(x_14 - 77):
myreldevnod0_14 := myownabs(x_14/77 - 1):
myabsdevnod0_15 := myownabs(x_15 - 18):
myreldevnod0_15 := myownabs(x_15/18 - 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 := (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)):
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)):
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)):
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, 7 + x_4 - x_1):
fmcInequality(ci_2, 6 - x_4 + x_1):
fmcInequality(ci_3, 7 + x_7 - x_4):
fmcInequality(ci_4, 6 - x_7 + x_4):
fmcInequality(ci_5, 7 + x_10 - x_7):
fmcInequality(ci_6, 6 - x_10 + x_7):
fmcInequality(ci_7, 7 + x_13 - x_10):
fmcInequality(ci_8, 6 - x_13 + x_10):
fmcInequality(ci_9, 7 + x_5 - x_2):
fmcInequality(ci_10, 7 - x_5 + x_2):
fmcInequality(ci_11, 7 + x_8 - x_5):
fmcInequality(ci_12, 7 - x_8 + x_5):
fmcInequality(ci_13, 7 + x_11 - x_8):
fmcInequality(ci_14, 7 - x_11 + x_8):
fmcInequality(ci_15, 7 + x_14 - x_11):
fmcInequality(ci_16, 7 - x_14 + x_11):
fmcInequality(ci_17, 7 + x_6 - x_3):
fmcInequality(ci_18, 6 - x_6 + x_3):
fmcInequality(ci_19, 7 + x_9 - x_6):
fmcInequality(ci_20, 6 - x_9 + x_6):
fmcInequality(ci_21, 7 + x_12 - x_9):
fmcInequality(ci_22, 6 - x_12 + x_9):
fmcInequality(ci_23, 7 + x_15 - x_12):
fmcInequality(ci_24, 6 - x_15 + x_12):
fmcInequality(ci_25, x_1 + x_2 + x_3 - 60):
fmcInequality(ci_26, x_4 + x_5 + x_6 - 50):
fmcInequality(ci_27, x_7 + x_8 + x_9 - 70):
fmcInequality(ci_28, x_10 + x_11 + x_12 - 85):
fmcInequality(ci_29, x_13 + x_14 + x_15 - 100):
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('myminfun', myminfun):
fmcEscortFloat('zmyabsdevmax', zmyabsdevmax):
fmcEscortFloat('zmyreldevmax', zmyreldevmax):
fmcControlMinimum(1, 0):
# End Model