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intfuncs.jl
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intfuncs.jl
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# This file is a part of Julia. License is MIT: https://julialang.org/license
# Int32 and Int64 take different code paths -- test both
for T in (Int32, Int64)
@test gcd(T(3)) === T(3)
@test gcd(T(3), T(5)) === T(1)
@test gcd(T(3), T(15)) === T(3)
@test gcd(T(0), T(15)) === T(15)
@test gcd(T(3), T(-15)) === T(3)
@test gcd(T(-3), T(-15)) === T(3)
@test gcd(T(0), T(0)) === T(0)
@test gcd(T(2), T(4), T(6)) === T(2)
@test gcd(typemax(T), T(1)) === T(1)
@test gcd(-typemax(T), T(1)) === T(1)
@test gcd(typemin(T), T(1)) === T(1)
@test_throws OverflowError gcd(typemin(T), typemin(T))
@test lcm(T(2)) === T(2)
@test lcm(T(2), T(3)) === T(6)
@test lcm(T(4), T(6)) === T(12)
@test lcm(T(3), T(0)) === T(0)
@test lcm(T(0), T(0)) === T(0)
@test lcm(T(4), T(-6)) === T(12)
@test lcm(T(-4), T(-6)) === T(12)
@test lcm(T(2), T(4), T(6)) === T(12)
@test lcm(typemax(T), T(1)) === typemax(T)
@test lcm(-typemax(T), T(1)) === typemax(T)
@test_throws OverflowError lcm(typemin(T), T(1))
@test_throws OverflowError lcm(typemin(T), typemin(T))
end
@test gcdx(5, 12) == (1, 5, -2)
@test gcdx(5, -12) == (1, 5, 2)
@test gcdx(-25, -4) == (1, -1, 6)
@test invmod(6, 31) === 26
@test invmod(-1, 3) === 2
@test invmod(1, -3) === -2
@test invmod(-1, -3) === -1
@test invmod(0x2, 0x3) === 0x2
@test invmod(2, 0x3) === 2
@test_throws DomainError invmod(0, 3)
@test powermod(2, 3, 5) == 3
@test powermod(2, 3, -5) == -2
@test powermod(2, 0, 5) == 1
@test powermod(2, 0, -5) == -4
@test powermod(2, -1, 5) == 3
@test powermod(2, -2, 5) == 4
@test powermod(2, -1, -5) == -2
@test powermod(2, -2, -5) == -1
@test nextpow2(3) == 4
@test nextpow(2, 3) == 4
@test nextpow(2, 4) == 4
@test nextpow(2, 7) == 8
@test_throws DomainError nextpow(0, 3)
@test_throws DomainError nextpow(3, 0)
@test prevpow2(3) == 2
@test prevpow(2, 4) == 4
@test prevpow(2, 5) == 4
@test_throws DomainError prevpow(0, 3)
@test_throws DomainError prevpow(0, 3)
# issue #8266
@test ndigits(-15, 10) == 2
@test ndigits(-15, -10) == 2
@test ndigits(-1, 10) == 1
@test ndigits(-1, -10) == 2
@test ndigits(2, 10) == 1
@test ndigits(2, -10) == 1
@test ndigits(10, 10) == 2
@test ndigits(10, -10) == 3
@test ndigits(17, 10) == 2
@test ndigits(17, -10) == 3
@test ndigits(unsigned(17), -10) == 3
@test ndigits(146, -3) == 5
let n = rand(Int)
@test ndigits(n) == ndigits(big(n)) == ndigits(n, 10)
end
@test ndigits(Int8(5)) == ndigits(5)
@test bin('3') == "110011"
@test bin('3',7) == "0110011"
@test bin(3) == "11"
@test bin(3, 2) == "11"
@test bin(3, 3) == "011"
@test bin(-3) == "-11"
@test bin(-3, 3) == "-011"
@test oct(9) == "11"
@test oct(-9) == "-11"
@test dec(121) == "121"
@test hex(12) == "c"
@test hex(-12, 3) == "-00c"
@test num2hex(1243) == (Int == Int32 ? "000004db" : "00000000000004db")
@test base(2, 5, 7) == "0000101"
@test bits(Int16(3)) == "0000000000000011"
@test bits('3') == "00000000000000000000000000110011"
@test bits(1035) == (Int == Int32 ? "00000000000000000000010000001011" :
"0000000000000000000000000000000000000000000000000000010000001011")
@test bits(Int128(3)) == "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011"
@test digits(4, 2) == [0, 0, 1]
@test digits(5, 3) == [2, 1]
@test leading_ones(UInt32(Int64(2) ^ 32 - 2)) == 31
@test leading_ones(1) == 0
@test leading_zeros(Int32(1)) == 31
@test leading_zeros(UInt32(Int64(2) ^ 32 - 2)) == 0
@test count_zeros(Int64(1)) == 63
@test factorial(3) == 6
@test factorial(Int8(3)) === 6
@test_throws DomainError factorial(-3)
@test_throws DomainError factorial(Int8(-3))
@test isqrt(4) == 2
@test isqrt(5) == 2
@test isqrt(Int8(4)) === Int8(2)
@test isqrt(Int8(5)) === Int8(2)
# issue #4884
@test isqrt(9223372030926249000) == 3037000498
@test isqrt(typemax(Int128)) == parse(Int128,"13043817825332782212")
@test isqrt(Int128(typemax(Int64))^2-1) == 9223372036854775806
@test isqrt(0) == 0
for i = 1:1000
n = rand(UInt128)
s = isqrt(n)
@test s*s <= n
@test (s+1)*(s+1) > n
n = rand(UInt64)
s = isqrt(n)
@test s*s <= n
@test (s+1)*(s+1) > n
end
# issue #9786
let ptr = Ptr{Void}(typemax(UInt))
for T in (Int, Cssize_t)
@test T(ptr) == -1
@test ptr == Ptr{Void}(T(ptr))
@test typeof(Ptr{Float64}(T(ptr))) == Ptr{Float64}
end
end
# issue #15911
@inferred string(1)