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- add num,show,if,eq,len to lib
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fib(x) { | ||
if( | ||
eq0(x), | ||
0(), | ||
if( | ||
eq(x, 1()), | ||
1(), | ||
add( | ||
fib(pred(x)), | ||
fib(pred(pred(x))) | ||
) | ||
) | ||
) | ||
} | ||
|
||
factorial(x) { | ||
if( | ||
eq(x, 1()), | ||
1(), | ||
mul( | ||
x, | ||
factorial(pred(x)) | ||
) | ||
) | ||
} | ||
|
||
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||
enraw(s) { | ||
"#$" = ""; | ||
"$#" = ""; | ||
encode(s) | ||
} | ||
|
||
enrep(s,x,y) { | ||
enraw(x) = y; | ||
s | ||
} | ||
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||
rep2(s,x,xr,y,yr) { | ||
var repx = enrep(encode(s),x,"x#"); | ||
var repy = enrep(repx,y,"y#"); | ||
decode({ | ||
"x#" = enraw(xr); | ||
"y#" = enraw(yr); | ||
repy | ||
}) | ||
} |
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@@ -0,0 +1,281 @@ | ||
T() {"T"} | ||
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F() {"F"} | ||
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0() {"0"} | ||
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1() {"S0"} | ||
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2() {"SS0"} | ||
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3() {"SSS0"} | ||
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4() {"SSSS0"} | ||
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5() {"SSSSS0"} | ||
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6() {"SSSSSS0"} | ||
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7() {"SSSSSSS0"} | ||
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8() {"SSSSSSSS0"} | ||
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9() {"SSSSSSSSS0"} | ||
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10() {"SSSSSSSSSS0"} | ||
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succ(x) {"S"+x} | ||
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pred(x) { | ||
1() = 0(); | ||
x | ||
} | ||
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add (x,y) { | ||
0() = y; | ||
x | ||
} | ||
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sub (x,y) { | ||
y = 0(); | ||
x | ||
} | ||
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mul(x,y) { | ||
"S" = {0()=""; y}; | ||
x | ||
} | ||
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encode(s) { | ||
var rep = { | ||
"$" = "\$"; | ||
"#" = "\#"; | ||
"\" = "\\"; | ||
s | ||
}; | ||
"#$"+ rep +"$#" | ||
} | ||
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decode(s) { | ||
var rep = { | ||
"$#" = ""; | ||
"#$" = ""; | ||
s | ||
}; | ||
"\\" = "\"; | ||
"\#" = "#"; | ||
"\$" = "$"; | ||
rep | ||
} | ||
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enraw(s) { | ||
"#$" = ""; | ||
"$#" = ""; | ||
encode(s) | ||
} | ||
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enrep(s,x,y) { | ||
enraw(x) = y; | ||
s | ||
} | ||
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rep2(s,x,xr,y,yr) { | ||
var repx = enrep(encode(s),x,"x#"); | ||
var repy = enrep(repx,y,"y#"); | ||
decode({ | ||
"x#" = enraw(xr); | ||
"y#" = enraw(yr); | ||
repy | ||
}) | ||
} | ||
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eq(x,y) { | ||
encode(x) = "F"; | ||
encode(y) = "T"; | ||
encode(x) | ||
} | ||
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if(c,x,y) { | ||
var cc = c + "#"; | ||
var enc = { | ||
"T#" = encode(x); | ||
"F#" = encode(y); | ||
cc | ||
}; | ||
decode(enc) | ||
} | ||
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in(x,y) { | ||
not(eq(y,{x=""; y})) | ||
} | ||
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not(x) { | ||
if(x, F(), T()) | ||
} | ||
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or(x,y) { | ||
if(x,T(), y) | ||
} | ||
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and(x,y) { | ||
if(x,y,F()) | ||
} | ||
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eq0(x) { | ||
eq(x, 0()) | ||
} | ||
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factorial(x) { | ||
if( | ||
eq(x, 1()), | ||
1(), | ||
mul( | ||
x, | ||
factorial(pred(x)) | ||
) | ||
) | ||
} | ||
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digit(x) { | ||
"1" = 1(); | ||
"2" = 2(); | ||
"3" = 3(); | ||
"4" = 4(); | ||
"5" = 5(); | ||
"6" = 6(); | ||
"7" = 7(); | ||
"8" = 8(); | ||
"9" = 9(); | ||
x | ||
} | ||
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exp(x,y) { | ||
if( | ||
eq0(y), | ||
1(), | ||
mul( | ||
x, | ||
exp(x, pred(y)) | ||
) | ||
) | ||
} | ||
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nrep(x,p) { | ||
"0" = p; | ||
"1" = p; | ||
"2" = p; | ||
"3" = p; | ||
"4" = p; | ||
"5" = p; | ||
"6" = p; | ||
"7" = p; | ||
"8" = p; | ||
"9" = p; | ||
x | ||
} | ||
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len(x) { | ||
var s = nrep(x, "S"); | ||
s + 0() | ||
} | ||
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revdigit(x) { | ||
1() = "1"; | ||
2() = "2"; | ||
3() = "3"; | ||
4() = "4"; | ||
5() = "5"; | ||
6() = "6"; | ||
7() = "7"; | ||
8() = "8"; | ||
9() = "9"; | ||
x | ||
} | ||
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head(x) { | ||
var s = { | ||
"$0" = {"0"=""; "S" + 0()}; | ||
"$1" = {"0"=""; "S" + 1()}; | ||
"$2" = {"0"=""; "S" + 2()}; | ||
"$3" = {"0"=""; "S" + 3()}; | ||
"$4" = {"0"=""; "S" + 4()}; | ||
"$5" = {"0"=""; "S" + 5()}; | ||
"$6" = {"0"=""; "S" + 6()}; | ||
"$7" = {"0"=""; "S" + 7()}; | ||
"$8" = {"0"=""; "S" + 8()}; | ||
"$9" = {"0"=""; "S" + 9()}; | ||
"$" + x | ||
}; | ||
var rep = nrep(s, ""); | ||
pred(rep + 0()) | ||
} | ||
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num(x) { | ||
var ten = succ(9()); | ||
var nl = pred(len(x)); | ||
var hd = head(x); | ||
var hdnum = revdigit(hd); | ||
var remain = { | ||
"$" + hdnum = ""; | ||
"$" + x | ||
}; | ||
if( | ||
eq(len(x), 1()), | ||
digit(x), | ||
add( | ||
mul(hd, exp(ten, nl)), | ||
num(remain) | ||
) | ||
) | ||
} | ||
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leq(x,y) { | ||
in(x,y) | ||
} | ||
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show(x) { | ||
var la = { | ||
"SSSSSSSSSS" = ""; | ||
x | ||
}; | ||
var rem = { | ||
"SSSSSSSSSS" = "S"; | ||
sub(x,la) | ||
}; | ||
if( | ||
leq(len(x), 10()), | ||
revdigit(x), | ||
show(rem) + revdigit(la) | ||
) | ||
} | ||
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fib(x) { | ||
if( | ||
eq0(x), | ||
0(), | ||
if( | ||
leq(x, 2()), | ||
1(), | ||
add( | ||
fib(pred(x)), | ||
fib(pred(pred(x))) | ||
) | ||
) | ||
) | ||
} | ||
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tl(x) { | ||
var en = { | ||
"#$" + enraw(hd(x)) = "#$"; | ||
encode(x) | ||
}; | ||
decode(en) | ||
} | ||
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wd(x) { | ||
if( | ||
or(eq(x, ""), eq(hd(x)," ")), | ||
"", | ||
hd(x) + wd(tl(x)) | ||
) | ||
} |
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