71 lines
2.3 KiB
Julia
71 lines
2.3 KiB
Julia
# This file is a part of Julia. License is MIT: https://julialang.org/license
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@testset "binomial" begin
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@test binomial(5,-1) == 0
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@test binomial(5,10) == 0
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@test binomial(5,3) == 10
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@test binomial(2,1) == 2
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@test binomial(1,2) == 0
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@test binomial(-2,1) == -2 # let's agree
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@test binomial(2,-1) == 0
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#Issue 6154
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@test binomial(Int32(34), Int32(15)) == binomial(BigInt(34), BigInt(15)) == 1855967520
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@test binomial(Int64(67), Int64(29)) == binomial(BigInt(67), BigInt(29)) == 7886597962249166160
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@test binomial(Int128(131), Int128(62)) == binomial(BigInt(131), BigInt(62)) == 157311720980559117816198361912717812000
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@test_throws InexactError binomial(Int64(67), Int64(30))
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end
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@testset "permutations" begin
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p = shuffle([1:1000;])
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@test isperm(p)
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@test all(invperm(invperm(p)) .== p)
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@test isperm(()) == true
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@test isperm((1,)) == true
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@test isperm((2,)) == false
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@test isperm((1,2)) == true
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@test isperm((2,1)) == true
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@test isperm((2,2)) == false
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@test isperm((1,3)) == false
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@test invperm(()) == ()
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@test invperm((1,)) == (1,)
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@test invperm((1,2)) == (1,2)
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@test invperm((2,1)) == (2,1)
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@test_throws ArgumentError invperm((1,3))
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push!(p, 1)
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@test !isperm(p)
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a = randcycle(10)
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@test ipermute!(permute!([1:10;], a),a) == [1:10;]
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# PR 12785
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let a = 2:-1:1
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@test ipermute!(permute!([1, 2], a), a) == [1, 2]
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end
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end
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@testset "factorial" begin
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@test factorial(7) == 5040
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@test factorial(Int8(7)) == 5040
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@test factorial(UInt8(7)) == 5040
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@test factorial(Int16(7)) == 5040
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@test factorial(UInt16(7)) == 5040
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@test factorial(Int32(7)) == 5040
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@test factorial(UInt32(7)) == 5040
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@test factorial(Int64(7)) == 5040
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@test factorial(UInt64(7)) == 5040
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@test factorial(Int128(7)) == 5040
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@test factorial(UInt128(7)) == 5040
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@test factorial(0) == 1
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@test_throws DomainError factorial(-1)
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@test factorial(Int64(20)) == 2432902008176640000
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# issue #6579
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@test_throws OverflowError factorial(Int64(21))
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@test typeof(factorial(Int8(2))) == typeof(factorial(Int8(1)))
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if Int === Int32
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@test factorial(Int32(12)) === Int32(479001600)
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@test_throws OverflowError factorial(Int32(13))
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end
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end
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