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Ingy döt Net 2023-07-01 11:58:00 -04:00
parent 7387c8f97b
commit cb5bb5e222
199093 changed files with 3378972 additions and 0 deletions

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T BalancedTernary
. -:str2dig = [+ = 1, - = -1, 0 = 0]
. -:dig2str = [1 = +, -1 = -, 0 = 0]
. -:table = [(0, -1), (1, -1), (-1, 0), (0, 0), (1, 0), (-1, 1), (0, 1)]
[Int] digits
F (inp)
I all(inp.map(d -> d C (0, 1, -1)))
.digits = copy(inp)
E
X ValueError(BalancedTernary: Wrong input digits.)
F :from_str(inp)
R BalancedTernary(reversed(inp).map(c -> .:str2dig[c]))
. F :int2ternary(n)
I n == 0
R [Int]()
V n3 = ((n % 3) + 3) % 3
I n3 == 0 {R [0] [+] .:int2ternary(n -I/ 3)}
I n3 == 1 {R [1] [+] .:int2ternary(n -I/ 3)}
I n3 == 2 {R [-1] [+] .:int2ternary((n + 1) -I/ 3)}
X RuntimeError()
F :from_int(inp)
R BalancedTernary(.:int2ternary(inp))
F to_int()
R reversed(.digits).reduce(0, (y, x) -> x + 3 * y)
F String()
I .digits.empty
R 0
R reversed(.digits).map(d -> .:dig2str[d]).join()
. F :neg(digs)
R digs.map(d -> -d)
F -()
R BalancedTernary(.:neg(.digits))
. F :add(a, b, =c = 0)
I !(!a.empty & !b.empty)
I c == 0
R I !a.empty {a} E b
E
R .:add([c], I !a.empty {a} E b)
E
(V d, c) = .:table[3 + (I !a.empty {a[0]} E 0) + (I !b.empty {b[0]} E 0) + c]
V res = .:add(a[1..], b[1..], c)
I !res.empty | d != 0
R [d] [+] res
E
R res
F +(b)
R BalancedTernary(.:add(.digits, b.digits))
F -(b)
R (.) + (-b)
F *(b)
F _mul([Int] a, b) -> [Int]
I !(!a.empty & !b.empty)
R [Int]()
E
[Int] x
I a[0] == -1 {x = .:neg(b)}
E I a[0] == 0 {}
E I a[0] == 1 {x = b}
E
assert(0B)
V y = [0] [+] @_mul(a[1..], b)
R .:add(x, y)
R BalancedTernary(_mul(.digits, b.digits))
V a = BalancedTernary.from_str(+-0++0+)
print(a: a.to_int() a)
V b = BalancedTernary.from_int(-436)
print(b: b.to_int() b)
V c = BalancedTernary.from_str(+-++-)
print(c: c.to_int() c)
V r = a * (b - c)
print(a * (b - c): r.to_int() r)