File: valid_triangular_cf.mws

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{SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "restart:\n" }
{MPLTEXT 1 0 12 "Digits:=55:\n" }{MPLTEXT 1 0 49 "assume(a,real,b,real
,m,real,u,real,a<m,a<b,m<b):\n" }{MPLTEXT 1 0 18 "with(Statistics):\n"
 }{MPLTEXT 1 0 74 "cf:=simplify(CharacteristicFunction(RandomVariable(
Triangular(a,b,m)),u));" }{MPLTEXT 1 0 1 "\n" }{MPLTEXT 1 0 26 "all_cf
:=[cf, limit(cf,m=a)" }{MPLTEXT 1 0 15 ", limit(cf,m=b)" }{MPLTEXT 1 
0 4 ", cf" }{MPLTEXT 1 0 3 "];\n" }{MPLTEXT 1 0 30 "all_a:=[-1/2,-1/2,
-1/2,-5/2]:\n" }{MPLTEXT 1 0 28 "all_m:=[ 3/2,-1/2, 5/2, 0];\n" }
{MPLTEXT 1 0 30 "all_b:=[ 5/2, 5/2, 5/2, 5/2];\n" }{MPLTEXT 1 0 45 "al
l_u:=[1/10,1/100,1/1000,1/10000,1/100000];\n" }{MPLTEXT 1 0 21 "for i \+
from 1 to 4 do\n" }{MPLTEXT 1 0 8 "  cf_i:=" }{MPLTEXT 1 0 49 "subs(a=
all_a[i],m=all_m[i],b=all_b[i],all_cf[i]):" }{MPLTEXT 1 0 1 "\n" }
{MPLTEXT 1 0 23 "  for j from 1 to 5 do\n" }{MPLTEXT 1 0 14 "    cf_i_
val:=" }{MPLTEXT 1 0 31 "evalf(subs(u=all_u[j], cf_i));\n" }{MPLTEXT 
1 0 101 "    printf(\"refValues[%d].add(Complex(%.19e, %.19e));\\n\", \+
i-1, Re(cf_i_val),Im(cf_i_val));\n  end do:\n" }{MPLTEXT 1 0 7 "end do
:" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}{PARA 11 "" 1 "" {XPPMATH 
20 "*,,(*&,&I#b|irG6#/I'_localG%*protectedGI2_n139739861637312G6\"!\"#
I#m|irG6#/F)I2_n139739861637600GF,\"\"#\"\"\"-I$expG6$F*I(_syslibGF,6#
*(^#F3F3I#a|irG6#/F)I2_n139739861637024GF,F3I#u|irG6#/F)I2_n1397398616
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/F*I2_n139739861637920GF-F4F4F4*&,&F<F3F/F.F4-F66#*(F;F4F'F4F@F4F4F4*&
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FN*&,***^#F.F4F5F4F@F4F<F4F4**^#F3F4F5F4F@F4F'F4F4F5F3FFF.F4,(*&F<F3F@
F3F4*(F<F4F'F4F@F3F.*&F'F3F@F3F4FN*&,***FVF4FFF4F@F4F<F4F4**FTF4FFF4F@
F4F'F4F4F5F.FFF3F4FWFNF#" }}{PARA 11 "" 1 "" {XPPMATH 20 "7&#\"\"$\"\"
##!\"\"F%#\"\"&F%\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 "7&#\"\"&\"\"#F
#F#F#" }}{PARA 11 "" 1 "" {XPPMATH 20 "7'#\"\"\"\"#5#F$\"$+\"#F$\"%+5#
F$\"&++\"#F$\"'++5" }}{PARA 6 "" 1 "" {TEXT 211 80 "refValues[0].add(C
omplex(9.9127099972903484510e-01, 1.1618827274767113648e-01));" }{TEXT
 211 81 "\nrefValues[0].add(Complex(9.9991250210240596186e-01, 1.16661
87507734305978e-02));" }{TEXT 211 81 "\nrefValues[0].add(Complex(9.999
9912500021024303e-01, 1.1666661875000773437e-03));" }}{PARA 6 "" 1 "" 
{TEXT 211 80 "refValues[0].add(Complex(9.9999999125000002102e-01, 1.16
66666618750000077e-04));" }{TEXT 211 81 "\nrefValues[0].add(Complex(9.
9999999991250000000e-01, 1.1666666666187500000e-05));" }{TEXT 211 81 "
\nrefValues[1].add(Complex(9.9625754367833246793e-01, 4.98211020730803
46159e-02));" }{TEXT 211 81 "\nrefValues[1].add(Complex(9.999625007551
9992255e-01, 4.9998208360230421163e-03));" }{TEXT 211 81 "\nrefValues[
1].add(Complex(9.9999962500007552082e-01, 4.9999982083336023065e-04));
" }{TEXT 211 81 "\nrefValues[1].add(Complex(9.9999999625000000755e-01,
 4.9999999820833333602e-05));" }{TEXT 211 81 "\nrefValues[1].add(Compl
ex(9.9999999996250000000e-01, 4.9999999998208333333e-06));" }{TEXT 
211 81 "\nrefValues[2].add(Complex(9.8629664648967592135e-01, 1.490978
2248906273663e-01));" }{TEXT 211 81 "\nrefValues[2].add(Complex(9.9986
250467180267611e-01, 1.4999095853247538925e-02));" }{TEXT 211 81 "\nre
fValues[2].add(Complex(9.9999862500046718743e-01, 1.499999095833532477
7e-03));" }{TEXT 211 81 "\nrefValues[2].add(Complex(9.9999998625000004
672e-01, 1.4999999909583333532e-04));" }{TEXT 211 81 "\nrefValues[2].a
dd(Complex(9.9999999986250000000e-01, 1.4999999999095833333e-05));" }
{TEXT 211 81 "\nrefValues[3].add(Complex(9.9480250525936690737e-01, 0.
0000000000000000000e+00));" }{TEXT 211 81 "\nrefValues[3].add(Complex(
9.9994791775172400105e-01, 0.0000000000000000000e+00));" }{TEXT 211 
81 "\nrefValues[3].add(Complex(9.9999947916677517360e-01, 0.0000000000
000000000e+00));" }{TEXT 211 81 "\nrefValues[3].add(Complex(9.99999994
79166667752e-01, 0.0000000000000000000e+00));" }{TEXT 211 81 "\nrefVal
ues[3].add(Complex(9.9999999994791666667e-01, 0.0000000000000000000e+0
0));" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 
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