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fix digits(n::Unsigned) with neg base for n > typemax(n)÷2 #29187

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14 changes: 12 additions & 2 deletions base/intfuncs.jl
Original file line number Diff line number Diff line change
Expand Up @@ -744,12 +744,22 @@ julia> digits!([2,2,2,2,2,2], 10, base = 2)
```
"""
function digits!(a::AbstractVector{T}, n::Integer; base::Integer = 10) where T<:Integer
base < 0 && isa(n, Unsigned) && return digits!(a, convert(Signed, n), base = base)
2 <= abs(base) || throw(ArgumentError("base must be ≥ 2 or ≤ -2, got $base"))
hastypemax(T) && abs(base) - 1 > typemax(T) &&
throw(ArgumentError("type $T too small for base $base"))
isempty(a) && return a
skipfirst = false
if base < 0 && n isa Unsigned
d = mod(n, -base)
n = -signed(fld(n, -base))
skipfirst = true
end

for i in eachindex(a)
if base > 0
if skipfirst
skipfirst = false
a[i] = d
elseif base > 0
a[i] = rem(n, base)
n = div(n, base)
else
Expand Down
9 changes: 8 additions & 1 deletion test/intfuncs.jl
Original file line number Diff line number Diff line change
Expand Up @@ -179,11 +179,18 @@ end
@test digits(5, base = 3) == [2, 1]

@testset "digits/base with negative bases" begin
@testset "digits(n::$T, base = b)" for T in (Int, UInt, BigInt, Int32)
@testset "digits(n::$T, base = b)" for T in (Int, UInt, BigInt, Int32, UInt32)
@test digits(T(8163), base = -10) == [3, 4, 2, 2, 1]
if !(T<:Unsigned)
@test digits(T(-8163), base = -10) == [7, 7, 9, 9]
end
if T !== BigInt
b = rand(-32:-2)
for n = T[rand(T), typemax(T), typemin(T)]
# issue #29183
@test digits(n, base=b) == digits(signed(widen(n)), base=b)
end
end
end
@test [string(n, base = b)
for n = [-10^9, -10^5, -2^20, -2^10, -100, -83, -50, -34, -27, -16, -7, -3, -2, -1,
Expand Down