apm/tp088r.apm


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Model tp088r
! Source version 2
! Simple APM canonicalizer version 1.3
! APM back end version 1.1
Parameters
mu12_1 = 0.8603335890194
mu12_2 = 3.4256184594817
mu12_3 = 6.4372981791719
mu12_4 = 9.5293344053620
mu12_5 = 12.6452872238566
mu12_6 = 15.7712848748159
mu12_7 = 18.9024099568600
mu12_8 = 22.0364967279386
mu12_9 = 25.1724463266467
mu12_10 = 28.3096428544520
mu12_11 = 31.4477146375462
mu12_12 = 34.5864242152889
mu12_13 = 37.7256128277765
mu12_14 = 40.8651703304881
mu12_15 = 44.0050179208308
mu12_16 = 47.1450977367610
mu12_17 = 50.2853663377737
mu12_18 = 53.4257904773947
mu12_19 = 56.5663442798215
mu12_20 = 59.7070073053355
mu12_21 = 62.8477631944545
mu12_22 = 65.9885986984904
mu12_23 = 69.1295029738953
mu12_24 = 72.2704670603090
mu12_25 = 75.4114834888482
mu12_26 = 78.5525459842429
mu12_27 = 81.6936492356017
mu12_28 = 84.8347887180423
mu12_29 = 87.9759605524932
mu12_30 = 91.1171613944647
tg12_1 = tan(mu12_1)
tg12_2 = tan(mu12_2)
tg12_3 = tan(mu12_3)
tg12_4 = tan(mu12_4)
tg12_5 = tan(mu12_5)
tg12_6 = tan(mu12_6)
tg12_7 = tan(mu12_7)
tg12_8 = tan(mu12_8)
tg12_9 = tan(mu12_9)
tg12_10 = tan(mu12_10)
tg12_11 = tan(mu12_11)
tg12_12 = tan(mu12_12)
tg12_13 = tan(mu12_13)
tg12_14 = tan(mu12_14)
tg12_15 = tan(mu12_15)
tg12_16 = tan(mu12_16)
tg12_17 = tan(mu12_17)
tg12_18 = tan(mu12_18)
tg12_19 = tan(mu12_19)
tg12_20 = tan(mu12_20)
tg12_21 = tan(mu12_21)
tg12_22 = tan(mu12_22)
tg12_23 = tan(mu12_23)
tg12_24 = tan(mu12_24)
tg12_25 = tan(mu12_25)
tg12_26 = tan(mu12_26)
tg12_27 = tan(mu12_27)
tg12_28 = tan(mu12_28)
tg12_29 = tan(mu12_29)
tg12_30 = tan(mu12_30)
mu24_1 = (1 + mu12_1^2*(1 + tg12_1^2)) / (tg12_1 + mu12_1*(1 + tg12_1^2))
mu24_2 = (1 + mu12_2^2*(1 + tg12_2^2)) / (tg12_2 + mu12_2*(1 + tg12_2^2))
mu24_3 = (1 + mu12_3^2*(1 + tg12_3^2)) / (tg12_3 + mu12_3*(1 + tg12_3^2))
mu24_4 = (1 + mu12_4^2*(1 + tg12_4^2)) / (tg12_4 + mu12_4*(1 + tg12_4^2))
mu24_5 = (1 + mu12_5^2*(1 + tg12_5^2)) / (tg12_5 + mu12_5*(1 + tg12_5^2))
mu24_6 = (1 + mu12_6^2*(1 + tg12_6^2)) / (tg12_6 + mu12_6*(1 + tg12_6^2))
mu24_7 = (1 + mu12_7^2*(1 + tg12_7^2)) / (tg12_7 + mu12_7*(1 + tg12_7^2))
mu24_8 = (1 + mu12_8^2*(1 + tg12_8^2)) / (tg12_8 + mu12_8*(1 + tg12_8^2))
mu24_9 = (1 + mu12_9^2*(1 + tg12_9^2)) / (tg12_9 + mu12_9*(1 + tg12_9^2))
mu24_10 = (1 + mu12_10^2*(1 + tg12_10^2)) / (tg12_10 + mu12_10*(1 + tg12_10^2))
mu24_11 = (1 + mu12_11^2*(1 + tg12_11^2)) / (tg12_11 + mu12_11*(1 + tg12_11^2))
mu24_12 = (1 + mu12_12^2*(1 + tg12_12^2)) / (tg12_12 + mu12_12*(1 + tg12_12^2))
mu24_13 = (1 + mu12_13^2*(1 + tg12_13^2)) / (tg12_13 + mu12_13*(1 + tg12_13^2))
mu24_14 = (1 + mu12_14^2*(1 + tg12_14^2)) / (tg12_14 + mu12_14*(1 + tg12_14^2))
mu24_15 = (1 + mu12_15^2*(1 + tg12_15^2)) / (tg12_15 + mu12_15*(1 + tg12_15^2))
mu24_16 = (1 + mu12_16^2*(1 + tg12_16^2)) / (tg12_16 + mu12_16*(1 + tg12_16^2))
mu24_17 = (1 + mu12_17^2*(1 + tg12_17^2)) / (tg12_17 + mu12_17*(1 + tg12_17^2))
mu24_18 = (1 + mu12_18^2*(1 + tg12_18^2)) / (tg12_18 + mu12_18*(1 + tg12_18^2))
mu24_19 = (1 + mu12_19^2*(1 + tg12_19^2)) / (tg12_19 + mu12_19*(1 + tg12_19^2))
mu24_20 = (1 + mu12_20^2*(1 + tg12_20^2)) / (tg12_20 + mu12_20*(1 + tg12_20^2))
mu24_21 = (1 + mu12_21^2*(1 + tg12_21^2)) / (tg12_21 + mu12_21*(1 + tg12_21^2))
mu24_22 = (1 + mu12_22^2*(1 + tg12_22^2)) / (tg12_22 + mu12_22*(1 + tg12_22^2))
mu24_23 = (1 + mu12_23^2*(1 + tg12_23^2)) / (tg12_23 + mu12_23*(1 + tg12_23^2))
mu24_24 = (1 + mu12_24^2*(1 + tg12_24^2)) / (tg12_24 + mu12_24*(1 + tg12_24^2))
mu24_25 = (1 + mu12_25^2*(1 + tg12_25^2)) / (tg12_25 + mu12_25*(1 + tg12_25^2))
mu24_26 = (1 + mu12_26^2*(1 + tg12_26^2)) / (tg12_26 + mu12_26*(1 + tg12_26^2))
mu24_27 = (1 + mu12_27^2*(1 + tg12_27^2)) / (tg12_27 + mu12_27*(1 + tg12_27^2))
mu24_28 = (1 + mu12_28^2*(1 + tg12_28^2)) / (tg12_28 + mu12_28*(1 + tg12_28^2))
mu24_29 = (1 + mu12_29^2*(1 + tg12_29^2)) / (tg12_29 + mu12_29*(1 + tg12_29^2))
mu24_30 = (1 + mu12_30^2*(1 + tg12_30^2)) / (tg12_30 + mu12_30*(1 + tg12_30^2))
tg24_1 = tan(mu24_1)
tg24_2 = tan(mu24_2)
tg24_3 = tan(mu24_3)
tg24_4 = tan(mu24_4)
tg24_5 = tan(mu24_5)
tg24_6 = tan(mu24_6)
tg24_7 = tan(mu24_7)
tg24_8 = tan(mu24_8)
tg24_9 = tan(mu24_9)
tg24_10 = tan(mu24_10)
tg24_11 = tan(mu24_11)
tg24_12 = tan(mu24_12)
tg24_13 = tan(mu24_13)
tg24_14 = tan(mu24_14)
tg24_15 = tan(mu24_15)
tg24_16 = tan(mu24_16)
tg24_17 = tan(mu24_17)
tg24_18 = tan(mu24_18)
tg24_19 = tan(mu24_19)
tg24_20 = tan(mu24_20)
tg24_21 = tan(mu24_21)
tg24_22 = tan(mu24_22)
tg24_23 = tan(mu24_23)
tg24_24 = tan(mu24_24)
tg24_25 = tan(mu24_25)
tg24_26 = tan(mu24_26)
tg24_27 = tan(mu24_27)
tg24_28 = tan(mu24_28)
tg24_29 = tan(mu24_29)
tg24_30 = tan(mu24_30)
mu48_1 = (1 + mu24_1^2*(1 + tg24_1^2)) / (tg24_1 + mu24_1*(1 + tg24_1^2))
mu48_2 = (1 + mu24_2^2*(1 + tg24_2^2)) / (tg24_2 + mu24_2*(1 + tg24_2^2))
mu48_3 = (1 + mu24_3^2*(1 + tg24_3^2)) / (tg24_3 + mu24_3*(1 + tg24_3^2))
mu48_4 = (1 + mu24_4^2*(1 + tg24_4^2)) / (tg24_4 + mu24_4*(1 + tg24_4^2))
mu48_5 = (1 + mu24_5^2*(1 + tg24_5^2)) / (tg24_5 + mu24_5*(1 + tg24_5^2))
mu48_6 = (1 + mu24_6^2*(1 + tg24_6^2)) / (tg24_6 + mu24_6*(1 + tg24_6^2))
mu48_7 = (1 + mu24_7^2*(1 + tg24_7^2)) / (tg24_7 + mu24_7*(1 + tg24_7^2))
mu48_8 = (1 + mu24_8^2*(1 + tg24_8^2)) / (tg24_8 + mu24_8*(1 + tg24_8^2))
mu48_9 = (1 + mu24_9^2*(1 + tg24_9^2)) / (tg24_9 + mu24_9*(1 + tg24_9^2))
mu48_10 = (1 + mu24_10^2*(1 + tg24_10^2)) / (tg24_10 + mu24_10*(1 + tg24_10^2))
mu48_11 = (1 + mu24_11^2*(1 + tg24_11^2)) / (tg24_11 + mu24_11*(1 + tg24_11^2))
mu48_12 = (1 + mu24_12^2*(1 + tg24_12^2)) / (tg24_12 + mu24_12*(1 + tg24_12^2))
mu48_13 = (1 + mu24_13^2*(1 + tg24_13^2)) / (tg24_13 + mu24_13*(1 + tg24_13^2))
mu48_14 = (1 + mu24_14^2*(1 + tg24_14^2)) / (tg24_14 + mu24_14*(1 + tg24_14^2))
mu48_15 = (1 + mu24_15^2*(1 + tg24_15^2)) / (tg24_15 + mu24_15*(1 + tg24_15^2))
mu48_16 = (1 + mu24_16^2*(1 + tg24_16^2)) / (tg24_16 + mu24_16*(1 + tg24_16^2))
mu48_17 = (1 + mu24_17^2*(1 + tg24_17^2)) / (tg24_17 + mu24_17*(1 + tg24_17^2))
mu48_18 = (1 + mu24_18^2*(1 + tg24_18^2)) / (tg24_18 + mu24_18*(1 + tg24_18^2))
mu48_19 = (1 + mu24_19^2*(1 + tg24_19^2)) / (tg24_19 + mu24_19*(1 + tg24_19^2))
mu48_20 = (1 + mu24_20^2*(1 + tg24_20^2)) / (tg24_20 + mu24_20*(1 + tg24_20^2))
mu48_21 = (1 + mu24_21^2*(1 + tg24_21^2)) / (tg24_21 + mu24_21*(1 + tg24_21^2))
mu48_22 = (1 + mu24_22^2*(1 + tg24_22^2)) / (tg24_22 + mu24_22*(1 + tg24_22^2))
mu48_23 = (1 + mu24_23^2*(1 + tg24_23^2)) / (tg24_23 + mu24_23*(1 + tg24_23^2))
mu48_24 = (1 + mu24_24^2*(1 + tg24_24^2)) / (tg24_24 + mu24_24*(1 + tg24_24^2))
mu48_25 = (1 + mu24_25^2*(1 + tg24_25^2)) / (tg24_25 + mu24_25*(1 + tg24_25^2))
mu48_26 = (1 + mu24_26^2*(1 + tg24_26^2)) / (tg24_26 + mu24_26*(1 + tg24_26^2))
mu48_27 = (1 + mu24_27^2*(1 + tg24_27^2)) / (tg24_27 + mu24_27*(1 + tg24_27^2))
mu48_28 = (1 + mu24_28^2*(1 + tg24_28^2)) / (tg24_28 + mu24_28*(1 + tg24_28^2))
mu48_29 = (1 + mu24_29^2*(1 + tg24_29^2)) / (tg24_29 + mu24_29*(1 + tg24_29^2))
mu48_30 = (1 + mu24_30^2*(1 + tg24_30^2)) / (tg24_30 + mu24_30*(1 + tg24_30^2))
mu_1 = mu48_1
mu_2 = mu48_2
mu_3 = mu48_3
mu_4 = mu48_4
mu_5 = mu48_5
mu_6 = mu48_6
mu_7 = mu48_7
mu_8 = mu48_8
mu_9 = mu48_9
mu_10 = mu48_10
mu_11 = mu48_11
mu_12 = mu48_12
mu_13 = mu48_13
mu_14 = mu48_14
mu_15 = mu48_15
mu_16 = mu48_16
mu_17 = mu48_17
mu_18 = mu48_18
mu_19 = mu48_19
mu_20 = mu48_20
mu_21 = mu48_21
mu_22 = mu48_22
mu_23 = mu48_23
mu_24 = mu48_24
mu_25 = mu48_25
mu_26 = mu48_26
mu_27 = mu48_27
mu_28 = mu48_28
mu_29 = mu48_29
mu_30 = mu48_30
isign_1 = 1
isign_2 = (-1)*isign_1
isign_3 = (-1)*isign_2
isign_4 = (-1)*isign_3
isign_5 = (-1)*isign_4
isign_6 = (-1)*isign_5
isign_7 = (-1)*isign_6
isign_8 = (-1)*isign_7
isign_9 = (-1)*isign_8
isign_10 = (-1)*isign_9
isign_11 = (-1)*isign_10
isign_12 = (-1)*isign_11
isign_13 = (-1)*isign_12
isign_14 = (-1)*isign_13
isign_15 = (-1)*isign_14
isign_16 = (-1)*isign_15
isign_17 = (-1)*isign_16
isign_18 = (-1)*isign_17
isign_19 = (-1)*isign_18
isign_20 = (-1)*isign_19
isign_21 = (-1)*isign_20
isign_22 = (-1)*isign_21
isign_23 = (-1)*isign_22
isign_24 = (-1)*isign_23
isign_25 = (-1)*isign_24
isign_26 = (-1)*isign_25
isign_27 = (-1)*isign_26
isign_28 = (-1)*isign_27
isign_29 = (-1)*isign_28
isign_30 = (-1)*isign_29
snmu_1 = isign_1*sqrt(1/(1 + mu_1^2))
snmu_2 = isign_2*sqrt(1/(1 + mu_2^2))
snmu_3 = isign_3*sqrt(1/(1 + mu_3^2))
snmu_4 = isign_4*sqrt(1/(1 + mu_4^2))
snmu_5 = isign_5*sqrt(1/(1 + mu_5^2))
snmu_6 = isign_6*sqrt(1/(1 + mu_6^2))
snmu_7 = isign_7*sqrt(1/(1 + mu_7^2))
snmu_8 = isign_8*sqrt(1/(1 + mu_8^2))
snmu_9 = isign_9*sqrt(1/(1 + mu_9^2))
snmu_10 = isign_10*sqrt(1/(1 + mu_10^2))
snmu_11 = isign_11*sqrt(1/(1 + mu_11^2))
snmu_12 = isign_12*sqrt(1/(1 + mu_12^2))
snmu_13 = isign_13*sqrt(1/(1 + mu_13^2))
snmu_14 = isign_14*sqrt(1/(1 + mu_14^2))
snmu_15 = isign_15*sqrt(1/(1 + mu_15^2))
snmu_16 = isign_16*sqrt(1/(1 + mu_16^2))
snmu_17 = isign_17*sqrt(1/(1 + mu_17^2))
snmu_18 = isign_18*sqrt(1/(1 + mu_18^2))
snmu_19 = isign_19*sqrt(1/(1 + mu_19^2))
snmu_20 = isign_20*sqrt(1/(1 + mu_20^2))
snmu_21 = isign_21*sqrt(1/(1 + mu_21^2))
snmu_22 = isign_22*sqrt(1/(1 + mu_22^2))
snmu_23 = isign_23*sqrt(1/(1 + mu_23^2))
snmu_24 = isign_24*sqrt(1/(1 + mu_24^2))
snmu_25 = isign_25*sqrt(1/(1 + mu_25^2))
snmu_26 = isign_26*sqrt(1/(1 + mu_26^2))
snmu_27 = isign_27*sqrt(1/(1 + mu_27^2))
snmu_28 = isign_28*sqrt(1/(1 + mu_28^2))
snmu_29 = isign_29*sqrt(1/(1 + mu_29^2))
snmu_30 = isign_30*sqrt(1/(1 + mu_30^2))
csmu_1 = isign_1*sqrt(mu_1^2/(1 + mu_1^2))
csmu_2 = isign_2*sqrt(mu_2^2/(1 + mu_2^2))
csmu_3 = isign_3*sqrt(mu_3^2/(1 + mu_3^2))
csmu_4 = isign_4*sqrt(mu_4^2/(1 + mu_4^2))
csmu_5 = isign_5*sqrt(mu_5^2/(1 + mu_5^2))
csmu_6 = isign_6*sqrt(mu_6^2/(1 + mu_6^2))
csmu_7 = isign_7*sqrt(mu_7^2/(1 + mu_7^2))
csmu_8 = isign_8*sqrt(mu_8^2/(1 + mu_8^2))
csmu_9 = isign_9*sqrt(mu_9^2/(1 + mu_9^2))
csmu_10 = isign_10*sqrt(mu_10^2/(1 + mu_10^2))
csmu_11 = isign_11*sqrt(mu_11^2/(1 + mu_11^2))
csmu_12 = isign_12*sqrt(mu_12^2/(1 + mu_12^2))
csmu_13 = isign_13*sqrt(mu_13^2/(1 + mu_13^2))
csmu_14 = isign_14*sqrt(mu_14^2/(1 + mu_14^2))
csmu_15 = isign_15*sqrt(mu_15^2/(1 + mu_15^2))
csmu_16 = isign_16*sqrt(mu_16^2/(1 + mu_16^2))
csmu_17 = isign_17*sqrt(mu_17^2/(1 + mu_17^2))
csmu_18 = isign_18*sqrt(mu_18^2/(1 + mu_18^2))
csmu_19 = isign_19*sqrt(mu_19^2/(1 + mu_19^2))
csmu_20 = isign_20*sqrt(mu_20^2/(1 + mu_20^2))
csmu_21 = isign_21*sqrt(mu_21^2/(1 + mu_21^2))
csmu_22 = isign_22*sqrt(mu_22^2/(1 + mu_22^2))
csmu_23 = isign_23*sqrt(mu_23^2/(1 + mu_23^2))
csmu_24 = isign_24*sqrt(mu_24^2/(1 + mu_24^2))
csmu_25 = isign_25*sqrt(mu_25^2/(1 + mu_25^2))
csmu_26 = isign_26*sqrt(mu_26^2/(1 + mu_26^2))
csmu_27 = isign_27*sqrt(mu_27^2/(1 + mu_27^2))
csmu_28 = isign_28*sqrt(mu_28^2/(1 + mu_28^2))
csmu_29 = isign_29*sqrt(mu_29^2/(1 + mu_29^2))
csmu_30 = isign_30*sqrt(mu_30^2/(1 + mu_30^2))
snmuxcsmu_1 = mu_1/(1 + mu_1^2)
snmuxcsmu_2 = mu_2/(1 + mu_2^2)
snmuxcsmu_3 = mu_3/(1 + mu_3^2)
snmuxcsmu_4 = mu_4/(1 + mu_4^2)
snmuxcsmu_5 = mu_5/(1 + mu_5^2)
snmuxcsmu_6 = mu_6/(1 + mu_6^2)
snmuxcsmu_7 = mu_7/(1 + mu_7^2)
snmuxcsmu_8 = mu_8/(1 + mu_8^2)
snmuxcsmu_9 = mu_9/(1 + mu_9^2)
snmuxcsmu_10 = mu_10/(1 + mu_10^2)
snmuxcsmu_11 = mu_11/(1 + mu_11^2)
snmuxcsmu_12 = mu_12/(1 + mu_12^2)
snmuxcsmu_13 = mu_13/(1 + mu_13^2)
snmuxcsmu_14 = mu_14/(1 + mu_14^2)
snmuxcsmu_15 = mu_15/(1 + mu_15^2)
snmuxcsmu_16 = mu_16/(1 + mu_16^2)
snmuxcsmu_17 = mu_17/(1 + mu_17^2)
snmuxcsmu_18 = mu_18/(1 + mu_18^2)
snmuxcsmu_19 = mu_19/(1 + mu_19^2)
snmuxcsmu_20 = mu_20/(1 + mu_20^2)
snmuxcsmu_21 = mu_21/(1 + mu_21^2)
snmuxcsmu_22 = mu_22/(1 + mu_22^2)
snmuxcsmu_23 = mu_23/(1 + mu_23^2)
snmuxcsmu_24 = mu_24/(1 + mu_24^2)
snmuxcsmu_25 = mu_25/(1 + mu_25^2)
snmuxcsmu_26 = mu_26/(1 + mu_26^2)
snmuxcsmu_27 = mu_27/(1 + mu_27^2)
snmuxcsmu_28 = mu_28/(1 + mu_28^2)
snmuxcsmu_29 = mu_29/(1 + mu_29^2)
snmuxcsmu_30 = mu_30/(1 + mu_30^2)
aux2_1 = snmuxcsmu_1/(2*mu_1) + 1/2
aux2_2 = snmuxcsmu_2/(2*mu_2) + 1/2
aux2_3 = snmuxcsmu_3/(2*mu_3) + 1/2
aux2_4 = snmuxcsmu_4/(2*mu_4) + 1/2
aux2_5 = snmuxcsmu_5/(2*mu_5) + 1/2
aux2_6 = snmuxcsmu_6/(2*mu_6) + 1/2
aux2_7 = snmuxcsmu_7/(2*mu_7) + 1/2
aux2_8 = snmuxcsmu_8/(2*mu_8) + 1/2
aux2_9 = snmuxcsmu_9/(2*mu_9) + 1/2
aux2_10 = snmuxcsmu_10/(2*mu_10) + 1/2
aux2_11 = snmuxcsmu_11/(2*mu_11) + 1/2
aux2_12 = snmuxcsmu_12/(2*mu_12) + 1/2
aux2_13 = snmuxcsmu_13/(2*mu_13) + 1/2
aux2_14 = snmuxcsmu_14/(2*mu_14) + 1/2
aux2_15 = snmuxcsmu_15/(2*mu_15) + 1/2
aux2_16 = snmuxcsmu_16/(2*mu_16) + 1/2
aux2_17 = snmuxcsmu_17/(2*mu_17) + 1/2
aux2_18 = snmuxcsmu_18/(2*mu_18) + 1/2
aux2_19 = snmuxcsmu_19/(2*mu_19) + 1/2
aux2_20 = snmuxcsmu_20/(2*mu_20) + 1/2
aux2_21 = snmuxcsmu_21/(2*mu_21) + 1/2
aux2_22 = snmuxcsmu_22/(2*mu_22) + 1/2
aux2_23 = snmuxcsmu_23/(2*mu_23) + 1/2
aux2_24 = snmuxcsmu_24/(2*mu_24) + 1/2
aux2_25 = snmuxcsmu_25/(2*mu_25) + 1/2
aux2_26 = snmuxcsmu_26/(2*mu_26) + 1/2
aux2_27 = snmuxcsmu_27/(2*mu_27) + 1/2
aux2_28 = snmuxcsmu_28/(2*mu_28) + 1/2
aux2_29 = snmuxcsmu_29/(2*mu_29) + 1/2
aux2_30 = snmuxcsmu_30/(2*mu_30) + 1/2
aux4_1 = (-2)*snmu_1/mu_1 + 2*csmu_1
aux4_2 = (-2)*snmu_2/mu_2 + 2*csmu_2
aux4_3 = (-2)*snmu_3/mu_3 + 2*csmu_3
aux4_4 = (-2)*snmu_4/mu_4 + 2*csmu_4
aux4_5 = (-2)*snmu_5/mu_5 + 2*csmu_5
aux4_6 = (-2)*snmu_6/mu_6 + 2*csmu_6
aux4_7 = (-2)*snmu_7/mu_7 + 2*csmu_7
aux4_8 = (-2)*snmu_8/mu_8 + 2*csmu_8
aux4_9 = (-2)*snmu_9/mu_9 + 2*csmu_9
aux4_10 = (-2)*snmu_10/mu_10 + 2*csmu_10
aux4_11 = (-2)*snmu_11/mu_11 + 2*csmu_11
aux4_12 = (-2)*snmu_12/mu_12 + 2*csmu_12
aux4_13 = (-2)*snmu_13/mu_13 + 2*csmu_13
aux4_14 = (-2)*snmu_14/mu_14 + 2*csmu_14
aux4_15 = (-2)*snmu_15/mu_15 + 2*csmu_15
aux4_16 = (-2)*snmu_16/mu_16 + 2*csmu_16
aux4_17 = (-2)*snmu_17/mu_17 + 2*csmu_17
aux4_18 = (-2)*snmu_18/mu_18 + 2*csmu_18
aux4_19 = (-2)*snmu_19/mu_19 + 2*csmu_19
aux4_20 = (-2)*snmu_20/mu_20 + 2*csmu_20
aux4_21 = (-2)*snmu_21/mu_21 + 2*csmu_21
aux4_22 = (-2)*snmu_22/mu_22 + 2*csmu_22
aux4_23 = (-2)*snmu_23/mu_23 + 2*csmu_23
aux4_24 = (-2)*snmu_24/mu_24 + 2*csmu_24
aux4_25 = (-2)*snmu_25/mu_25 + 2*csmu_25
aux4_26 = (-2)*snmu_26/mu_26 + 2*csmu_26
aux4_27 = (-2)*snmu_27/mu_27 + 2*csmu_27
aux4_28 = (-2)*snmu_28/mu_28 + 2*csmu_28
aux4_29 = (-2)*snmu_29/mu_29 + 2*csmu_29
aux4_30 = (-2)*snmu_30/mu_30 + 2*csmu_30
A_1 = 2*snmu_1/(mu_1 + snmuxcsmu_1)
A_2 = 2*snmu_2/(mu_2 + snmuxcsmu_2)
A_3 = 2*snmu_3/(mu_3 + snmuxcsmu_3)
A_4 = 2*snmu_4/(mu_4 + snmuxcsmu_4)
A_5 = 2*snmu_5/(mu_5 + snmuxcsmu_5)
A_6 = 2*snmu_6/(mu_6 + snmuxcsmu_6)
A_7 = 2*snmu_7/(mu_7 + snmuxcsmu_7)
A_8 = 2*snmu_8/(mu_8 + snmuxcsmu_8)
A_9 = 2*snmu_9/(mu_9 + snmuxcsmu_9)
A_10 = 2*snmu_10/(mu_10 + snmuxcsmu_10)
A_11 = 2*snmu_11/(mu_11 + snmuxcsmu_11)
A_12 = 2*snmu_12/(mu_12 + snmuxcsmu_12)
A_13 = 2*snmu_13/(mu_13 + snmuxcsmu_13)
A_14 = 2*snmu_14/(mu_14 + snmuxcsmu_14)
A_15 = 2*snmu_15/(mu_15 + snmuxcsmu_15)
A_16 = 2*snmu_16/(mu_16 + snmuxcsmu_16)
A_17 = 2*snmu_17/(mu_17 + snmuxcsmu_17)
A_18 = 2*snmu_18/(mu_18 + snmuxcsmu_18)
A_19 = 2*snmu_19/(mu_19 + snmuxcsmu_19)
A_20 = 2*snmu_20/(mu_20 + snmuxcsmu_20)
A_21 = 2*snmu_21/(mu_21 + snmuxcsmu_21)
A_22 = 2*snmu_22/(mu_22 + snmuxcsmu_22)
A_23 = 2*snmu_23/(mu_23 + snmuxcsmu_23)
A_24 = 2*snmu_24/(mu_24 + snmuxcsmu_24)
A_25 = 2*snmu_25/(mu_25 + snmuxcsmu_25)
A_26 = 2*snmu_26/(mu_26 + snmuxcsmu_26)
A_27 = 2*snmu_27/(mu_27 + snmuxcsmu_27)
A_28 = 2*snmu_28/(mu_28 + snmuxcsmu_28)
A_29 = 2*snmu_29/(mu_29 + snmuxcsmu_29)
A_30 = 2*snmu_30/(mu_30 + snmuxcsmu_30)
hsum_0 = 2/15
End Parameters
Variables
x_1 = 1/2, >= 1/10
x_2 = -1/2, <= -1/10
obj
End Variables
Intermediates
emx_1_1 = exp(-mu_1^2*x_1^2)
emx_1_2 = exp(-mu_2^2*x_1^2)
emx_1_3 = exp(-mu_3^2*x_1^2)
emx_1_4 = exp(-mu_4^2*x_1^2)
emx_1_5 = exp(-mu_5^2*x_1^2)
emx_1_6 = exp(-mu_6^2*x_1^2)
emx_1_7 = exp(-mu_7^2*x_1^2)
emx_1_8 = exp(-mu_8^2*x_1^2)
emx_1_9 = exp(-mu_9^2*x_1^2)
emx_1_10 = exp(-mu_10^2*x_1^2)
emx_1_11 = exp(-mu_11^2*x_1^2)
emx_1_12 = exp(-mu_12^2*x_1^2)
emx_1_13 = exp(-mu_13^2*x_1^2)
emx_1_14 = exp(-mu_14^2*x_1^2)
emx_1_15 = exp(-mu_15^2*x_1^2)
emx_1_16 = exp(-mu_16^2*x_1^2)
emx_1_17 = exp(-mu_17^2*x_1^2)
emx_1_18 = exp(-mu_18^2*x_1^2)
emx_1_19 = exp(-mu_19^2*x_1^2)
emx_1_20 = exp(-mu_20^2*x_1^2)
emx_1_21 = exp(-mu_21^2*x_1^2)
emx_1_22 = exp(-mu_22^2*x_1^2)
emx_1_23 = exp(-mu_23^2*x_1^2)
emx_1_24 = exp(-mu_24^2*x_1^2)
emx_1_25 = exp(-mu_25^2*x_1^2)
emx_1_26 = exp(-mu_26^2*x_1^2)
emx_1_27 = exp(-mu_27^2*x_1^2)
emx_1_28 = exp(-mu_28^2*x_1^2)
emx_1_29 = exp(-mu_29^2*x_1^2)
emx_1_30 = exp(-mu_30^2*x_1^2)
emx_2_1 = exp(-mu_1^2*x_2^2)
emx_2_2 = exp(-mu_2^2*x_2^2)
emx_2_3 = exp(-mu_3^2*x_2^2)
emx_2_4 = exp(-mu_4^2*x_2^2)
emx_2_5 = exp(-mu_5^2*x_2^2)
emx_2_6 = exp(-mu_6^2*x_2^2)
emx_2_7 = exp(-mu_7^2*x_2^2)
emx_2_8 = exp(-mu_8^2*x_2^2)
emx_2_9 = exp(-mu_9^2*x_2^2)
emx_2_10 = exp(-mu_10^2*x_2^2)
emx_2_11 = exp(-mu_11^2*x_2^2)
emx_2_12 = exp(-mu_12^2*x_2^2)
emx_2_13 = exp(-mu_13^2*x_2^2)
emx_2_14 = exp(-mu_14^2*x_2^2)
emx_2_15 = exp(-mu_15^2*x_2^2)
emx_2_16 = exp(-mu_16^2*x_2^2)
emx_2_17 = exp(-mu_17^2*x_2^2)
emx_2_18 = exp(-mu_18^2*x_2^2)
emx_2_19 = exp(-mu_19^2*x_2^2)
emx_2_20 = exp(-mu_20^2*x_2^2)
emx_2_21 = exp(-mu_21^2*x_2^2)
emx_2_22 = exp(-mu_22^2*x_2^2)
emx_2_23 = exp(-mu_23^2*x_2^2)
emx_2_24 = exp(-mu_24^2*x_2^2)
emx_2_25 = exp(-mu_25^2*x_2^2)
emx_2_26 = exp(-mu_26^2*x_2^2)
emx_2_27 = exp(-mu_27^2*x_2^2)
emx_2_28 = exp(-mu_28^2*x_2^2)
emx_2_29 = exp(-mu_29^2*x_2^2)
emx_2_30 = exp(-mu_30^2*x_2^2)
rhoaux_2_1 = 1*emx_1_1*emx_2_1 - 2*emx_2_1 + 1
rhoaux_2_2 = 1*emx_1_2*emx_2_2 - 2*emx_2_2 + 1
rhoaux_2_3 = 1*emx_1_3*emx_2_3 - 2*emx_2_3 + 1
rhoaux_2_4 = 1*emx_1_4*emx_2_4 - 2*emx_2_4 + 1
rhoaux_2_5 = 1*emx_1_5*emx_2_5 - 2*emx_2_5 + 1
rhoaux_2_6 = 1*emx_1_6*emx_2_6 - 2*emx_2_6 + 1
rhoaux_2_7 = 1*emx_1_7*emx_2_7 - 2*emx_2_7 + 1
rhoaux_2_8 = 1*emx_1_8*emx_2_8 - 2*emx_2_8 + 1
rhoaux_2_9 = 1*emx_1_9*emx_2_9 - 2*emx_2_9 + 1
rhoaux_2_10 = 1*emx_1_10*emx_2_10 - 2*emx_2_10 + 1
rhoaux_2_11 = 1*emx_1_11*emx_2_11 - 2*emx_2_11 + 1
rhoaux_2_12 = 1*emx_1_12*emx_2_12 - 2*emx_2_12 + 1
rhoaux_2_13 = 1*emx_1_13*emx_2_13 - 2*emx_2_13 + 1
rhoaux_2_14 = 1*emx_1_14*emx_2_14 - 2*emx_2_14 + 1
rhoaux_2_15 = 1*emx_1_15*emx_2_15 - 2*emx_2_15 + 1
rhoaux_2_16 = 1*emx_1_16*emx_2_16 - 2*emx_2_16 + 1
rhoaux_2_17 = 1*emx_1_17*emx_2_17 - 2*emx_2_17 + 1
rhoaux_2_18 = 1*emx_1_18*emx_2_18 - 2*emx_2_18 + 1
rhoaux_2_19 = 1*emx_1_19*emx_2_19 - 2*emx_2_19 + 1
rhoaux_2_20 = 1*emx_1_20*emx_2_20 - 2*emx_2_20 + 1
rhoaux_2_21 = 1*emx_1_21*emx_2_21 - 2*emx_2_21 + 1
rhoaux_2_22 = 1*emx_1_22*emx_2_22 - 2*emx_2_22 + 1
rhoaux_2_23 = 1*emx_1_23*emx_2_23 - 2*emx_2_23 + 1
rhoaux_2_24 = 1*emx_1_24*emx_2_24 - 2*emx_2_24 + 1
rhoaux_2_25 = 1*emx_1_25*emx_2_25 - 2*emx_2_25 + 1
rhoaux_2_26 = 1*emx_1_26*emx_2_26 - 2*emx_2_26 + 1
rhoaux_2_27 = 1*emx_1_27*emx_2_27 - 2*emx_2_27 + 1
rhoaux_2_28 = 1*emx_1_28*emx_2_28 - 2*emx_2_28 + 1
rhoaux_2_29 = 1*emx_1_29*emx_2_29 - 2*emx_2_29 + 1
rhoaux_2_30 = 1*emx_1_30*emx_2_30 - 2*emx_2_30 + 1
rho_1 = (-1)*rhoaux_2_1/mu_1^2
rho_2 = (-1)*rhoaux_2_2/mu_2^2
rho_3 = (-1)*rhoaux_2_3/mu_3^2
rho_4 = (-1)*rhoaux_2_4/mu_4^2
rho_5 = (-1)*rhoaux_2_5/mu_5^2
rho_6 = (-1)*rhoaux_2_6/mu_6^2
rho_7 = (-1)*rhoaux_2_7/mu_7^2
rho_8 = (-1)*rhoaux_2_8/mu_8^2
rho_9 = (-1)*rhoaux_2_9/mu_9^2
rho_10 = (-1)*rhoaux_2_10/mu_10^2
rho_11 = (-1)*rhoaux_2_11/mu_11^2
rho_12 = (-1)*rhoaux_2_12/mu_12^2
rho_13 = (-1)*rhoaux_2_13/mu_13^2
rho_14 = (-1)*rhoaux_2_14/mu_14^2
rho_15 = (-1)*rhoaux_2_15/mu_15^2
rho_16 = (-1)*rhoaux_2_16/mu_16^2
rho_17 = (-1)*rhoaux_2_17/mu_17^2
rho_18 = (-1)*rhoaux_2_18/mu_18^2
rho_19 = (-1)*rhoaux_2_19/mu_19^2
rho_20 = (-1)*rhoaux_2_20/mu_20^2
rho_21 = (-1)*rhoaux_2_21/mu_21^2
rho_22 = (-1)*rhoaux_2_22/mu_22^2
rho_23 = (-1)*rhoaux_2_23/mu_23^2
rho_24 = (-1)*rhoaux_2_24/mu_24^2
rho_25 = (-1)*rhoaux_2_25/mu_25^2
rho_26 = (-1)*rhoaux_2_26/mu_26^2
rho_27 = (-1)*rhoaux_2_27/mu_27^2
rho_28 = (-1)*rhoaux_2_28/mu_28^2
rho_29 = (-1)*rhoaux_2_29/mu_29^2
rho_30 = (-1)*rhoaux_2_30/mu_30^2
aux1_1 = A_1^2*rhoaux_2_1^2
aux1_2 = A_2^2*rhoaux_2_2^2
aux1_3 = A_3^2*rhoaux_2_3^2
aux1_4 = A_4^2*rhoaux_2_4^2
aux1_5 = A_5^2*rhoaux_2_5^2
aux1_6 = A_6^2*rhoaux_2_6^2
aux1_7 = A_7^2*rhoaux_2_7^2
aux1_8 = A_8^2*rhoaux_2_8^2
aux1_9 = A_9^2*rhoaux_2_9^2
aux1_10 = A_10^2*rhoaux_2_10^2
aux1_11 = A_11^2*rhoaux_2_11^2
aux1_12 = A_12^2*rhoaux_2_12^2
aux1_13 = A_13^2*rhoaux_2_13^2
aux1_14 = A_14^2*rhoaux_2_14^2
aux1_15 = A_15^2*rhoaux_2_15^2
aux1_16 = A_16^2*rhoaux_2_16^2
aux1_17 = A_17^2*rhoaux_2_17^2
aux1_18 = A_18^2*rhoaux_2_18^2
aux1_19 = A_19^2*rhoaux_2_19^2
aux1_20 = A_20^2*rhoaux_2_20^2
aux1_21 = A_21^2*rhoaux_2_21^2
aux1_22 = A_22^2*rhoaux_2_22^2
aux1_23 = A_23^2*rhoaux_2_23^2
aux1_24 = A_24^2*rhoaux_2_24^2
aux1_25 = A_25^2*rhoaux_2_25^2
aux1_26 = A_26^2*rhoaux_2_26^2
aux1_27 = A_27^2*rhoaux_2_27^2
aux1_28 = A_28^2*rhoaux_2_28^2
aux1_29 = A_29^2*rhoaux_2_29^2
aux1_30 = A_30^2*rhoaux_2_30^2
aux3_1 = A_1*rho_1
aux3_2 = A_2*rho_2
aux3_3 = A_3*rho_3
aux3_4 = A_4*rho_4
aux3_5 = A_5*rho_5
aux3_6 = A_6*rho_6
aux3_7 = A_7*rho_7
aux3_8 = A_8*rho_8
aux3_9 = A_9*rho_9
aux3_10 = A_10*rho_10
aux3_11 = A_11*rho_11
aux3_12 = A_12*rho_12
aux3_13 = A_13*rho_13
aux3_14 = A_14*rho_14
aux3_15 = A_15*rho_15
aux3_16 = A_16*rho_16
aux3_17 = A_17*rho_17
aux3_18 = A_18*rho_18
aux3_19 = A_19*rho_19
aux3_20 = A_20*rho_20
aux3_21 = A_21*rho_21
aux3_22 = A_22*rho_22
aux3_23 = A_23*rho_23
aux3_24 = A_24*rho_24
aux3_25 = A_25*rho_25
aux3_26 = A_26*rho_26
aux3_27 = A_27*rho_27
aux3_28 = A_28*rho_28
aux3_29 = A_29*rho_29
aux3_30 = A_30*rho_30
hsum_1 = hsum_0 + aux1_1*aux2_1 + aux3_1*aux4_1
hsum_2 = hsum_1 + aux1_2*aux2_2 + aux3_2*aux4_2
hsum_3 = hsum_2 + aux1_3*aux2_3 + aux3_3*aux4_3
hsum_4 = hsum_3 + aux1_4*aux2_4 + aux3_4*aux4_4
hsum_5 = hsum_4 + aux1_5*aux2_5 + aux3_5*aux4_5
hsum_6 = hsum_5 + aux1_6*aux2_6 + aux3_6*aux4_6
hsum_7 = hsum_6 + aux1_7*aux2_7 + aux3_7*aux4_7
hsum_8 = hsum_7 + aux1_8*aux2_8 + aux3_8*aux4_8
hsum_9 = hsum_8 + aux1_9*aux2_9 + aux3_9*aux4_9
hsum_10 = hsum_9 + aux1_10*aux2_10 + aux3_10*aux4_10
hsum_11 = hsum_10 + aux1_11*aux2_11 + aux3_11*aux4_11
hsum_12 = hsum_11 + aux1_12*aux2_12 + aux3_12*aux4_12
hsum_13 = hsum_12 + aux1_13*aux2_13 + aux3_13*aux4_13
hsum_14 = hsum_13 + aux1_14*aux2_14 + aux3_14*aux4_14
hsum_15 = hsum_14 + aux1_15*aux2_15 + aux3_15*aux4_15
hsum_16 = hsum_15 + aux1_16*aux2_16 + aux3_16*aux4_16
hsum_17 = hsum_16 + aux1_17*aux2_17 + aux3_17*aux4_17
hsum_18 = hsum_17 + aux1_18*aux2_18 + aux3_18*aux4_18
hsum_19 = hsum_18 + aux1_19*aux2_19 + aux3_19*aux4_19
hsum_20 = hsum_19 + aux1_20*aux2_20 + aux3_20*aux4_20
hsum_21 = hsum_20 + aux1_21*aux2_21 + aux3_21*aux4_21
hsum_22 = hsum_21 + aux1_22*aux2_22 + aux3_22*aux4_22
hsum_23 = hsum_22 + aux1_23*aux2_23 + aux3_23*aux4_23
hsum_24 = hsum_23 + aux1_24*aux2_24 + aux3_24*aux4_24
hsum_25 = hsum_24 + aux1_25*aux2_25 + aux3_25*aux4_25
hsum_26 = hsum_25 + aux1_26*aux2_26 + aux3_26*aux4_26
hsum_27 = hsum_26 + aux1_27*aux2_27 + aux3_27*aux4_27
hsum_28 = hsum_27 + aux1_28*aux2_28 + aux3_28*aux4_28
hsum_29 = hsum_28 + aux1_29*aux2_29 + aux3_29*aux4_29
hsum_30 = hsum_29 + aux1_30*aux2_30 + aux3_30*aux4_30
h = hsum_30
myminfun = x_1^2 + x_2^2
myabsdevnod0_0 = abs(myminfun - 1.362656814889885)
myreldevnod0_0 = abs(myminfun/1.362656814889885 - 1)
myabsdevnod0_1 = abs(x_1 - 1.07431873122617)
myreldevnod0_1 = abs(x_1/1.07431873122617 - 1)
myabsdevnod0_2 = abs(x_2 + 0.456613708320804)
myreldevnod0_2 = abs(x_2/0.456613708320804 + 1)
myabsdevnod1_0 = (1/2)*(abs(myabsdevnod0_0 - myabsdevnod0_1) + (myabsdevnod0_0 + myabsdevnod0_1))
myreldevnod1_0 = (1/2)*(abs(myreldevnod0_0 - myreldevnod0_1) + (myreldevnod0_0 + myreldevnod0_1))
myabsdevnod1_2 = myabsdevnod0_2
myreldevnod1_2 = myreldevnod0_2
myabsdevnod2_0 = (1/2)*(abs(myabsdevnod1_0 - myabsdevnod1_2) + (myabsdevnod1_0 + myabsdevnod1_2))
myreldevnod2_0 = (1/2)*(abs(myreldevnod1_0 - myreldevnod1_2) + (myreldevnod1_0 + myreldevnod1_2))
zmyabsdevmax = myabsdevnod2_0
zmyreldevmax = myreldevnod2_0
End Intermediates
Equations
obj = myminfun
0.0001 - h >= 0
End Equations
End Model

Stephan K.H. Seidl