397 lines
18 KiB
Julia
397 lines
18 KiB
Julia
# This file is a part of Julia. License is MIT: https://julialang.org/license
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# Period testing
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@test -Dates.Year(1) == Dates.Year(-1)
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@test Dates.Year(1) > Dates.Year(0)
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@test (Dates.Year(1) < Dates.Year(0)) == false
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@test Dates.Year(1) == Dates.Year(1)
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@test Dates.Year(1) != 1
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@test Dates.Year(1) + Dates.Year(1) == Dates.Year(2)
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@test Dates.Year(1) - Dates.Year(1) == zero(Dates.Year)
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@test_throws MethodError Dates.Year(1) * Dates.Year(1) == Dates.Year(1)
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@test Dates.Year(10) % Dates.Year(4) == Dates.Year(2)
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@test gcd(Dates.Year(10), Dates.Year(4)) == Dates.Year(2)
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@test lcm(Dates.Year(10), Dates.Year(4)) == Dates.Year(20)
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@test div(Dates.Year(10), Dates.Year(3)) == 3
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@test div(Dates.Year(10), Dates.Year(4)) == 2
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@test div(Dates.Year(10), 4) == Dates.Year(2)
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@test Dates.Year(10) / Dates.Year(4) == 2.5
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@test mod(Dates.Year(10), Dates.Year(4)) == Dates.Year(2)
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@test mod(Dates.Year(-10), Dates.Year(4)) == Dates.Year(2)
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@test mod(Dates.Year(10), 4) == Dates.Year(2)
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@test mod(Dates.Year(-10), 4) == Dates.Year(2)
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@test rem(Dates.Year(10), Dates.Year(4)) == Dates.Year(2)
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@test rem(Dates.Year(-10), Dates.Year(4)) == Dates.Year(-2)
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@test rem(Dates.Year(10), 4) == Dates.Year(2)
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@test rem(Dates.Year(-10), 4) == Dates.Year(-2)
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t = Dates.Year(1)
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t2 = Dates.Year(2)
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@test ([t, t, t, t, t] + Dates.Year(1)) == ([t2, t2, t2, t2, t2])
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@test (Dates.Year(1) + [t, t, t, t, t]) == ([t2, t2, t2, t2, t2])
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@test ([t2, t2, t2, t2, t2] - Dates.Year(1)) == ([t, t, t, t, t])
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@test_throws MethodError ([t, t, t, t, t] .* Dates.Year(1)) == ([t, t, t, t, t])
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@test ([t, t, t, t, t] * 1) == ([t, t, t, t, t])
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@test ([t, t, t, t, t] .% t2) == ([t, t, t, t, t])
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@test div.([t, t, t, t, t], Dates.Year(1)) == ([1, 1, 1, 1, 1])
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@test mod.([t, t, t, t, t], Dates.Year(2)) == ([t, t, t, t, t])
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@test [t, t, t] / t2 == [0.5, 0.5, 0.5]
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@test abs(-t) == t
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#Period arithmetic
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y = Dates.Year(1)
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m = Dates.Month(1)
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w = Dates.Week(1)
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d = Dates.Day(1)
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h = Dates.Hour(1)
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mi = Dates.Minute(1)
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s = Dates.Second(1)
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ms = Dates.Millisecond(1)
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us = Dates.Microsecond(1)
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ns = Dates.Nanosecond(1)
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@test Dates.Year(y) == y
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@test Dates.Month(m) == m
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@test Dates.Week(w) == w
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@test Dates.Day(d) == d
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@test Dates.Hour(h) == h
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@test Dates.Minute(mi) == mi
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@test Dates.Second(s) == s
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@test Dates.Millisecond(ms) == ms
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@test Dates.Microsecond(us) == us
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@test Dates.Nanosecond(ns) == ns
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@test Dates.Year(convert(Int8, 1)) == y
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@test Dates.Year(convert(UInt8, 1)) == y
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@test Dates.Year(convert(Int16, 1)) == y
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@test Dates.Year(convert(UInt16, 1)) == y
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@test Dates.Year(convert(Int32, 1)) == y
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@test Dates.Year(convert(UInt32, 1)) == y
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@test Dates.Year(convert(Int64, 1)) == y
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@test Dates.Year(convert(UInt64, 1)) == y
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@test Dates.Year(convert(Int128, 1)) == y
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@test Dates.Year(convert(UInt128, 1)) == y
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@test Dates.Year(convert(BigInt, 1)) == y
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@test Dates.Year(convert(BigFloat, 1)) == y
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@test Dates.Year(convert(Complex, 1)) == y
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@test Dates.Year(convert(Rational, 1)) == y
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@test Dates.Year(convert(Float16, 1)) == y
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@test Dates.Year(convert(Float32, 1)) == y
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@test Dates.Year(convert(Float64, 1)) == y
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@test y == y
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@test m == m
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@test w == w
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@test d == d
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@test h == h
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@test mi == mi
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@test s == s
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@test ms == ms
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@test us == us
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@test ns == ns
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y2 = Dates.Year(2)
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@test y < y2
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@test y2 > y
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@test y != y2
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@test Dates.Year(Int8(1)) == y
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@test Dates.Year(UInt8(1)) == y
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@test Dates.Year(Int16(1)) == y
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@test Dates.Year(UInt16(1)) == y
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@test Dates.Year(Int(1)) == y
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@test Dates.Year(UInt(1)) == y
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@test Dates.Year(Int64(1)) == y
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@test Dates.Year(UInt64(1)) == y
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@test Dates.Year(UInt128(1)) == y
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@test Dates.Year(UInt128(1)) == y
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@test Dates.Year(big(1)) == y
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@test Dates.Year(BigFloat(1)) == y
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@test Dates.Year(float(1)) == y
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@test Dates.Year(Float32(1)) == y
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@test Dates.Year(Rational(1)) == y
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@test Dates.Year(complex(1)) == y
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@test_throws InexactError Dates.Year(BigFloat(1.2)) == y
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@test_throws InexactError Dates.Year(1.2) == y
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@test_throws InexactError Dates.Year(Float32(1.2)) == y
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@test_throws InexactError Dates.Year(3//4) == y
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@test_throws InexactError Dates.Year(complex(1.2)) == y
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@test_throws InexactError Dates.Year(Float16(1.2)) == y
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@test Dates.Year(true) == y
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@test Dates.Year(false) != y
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@test_throws MethodError Dates.Year(:hey) == y
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@test Dates.Year(real(1)) == y
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@test_throws InexactError Dates.Year(m) == y
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@test_throws MethodError Dates.Year(w) == y
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@test_throws MethodError Dates.Year(d) == y
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@test_throws MethodError Dates.Year(h) == y
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@test_throws MethodError Dates.Year(mi) == y
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@test_throws MethodError Dates.Year(s) == y
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@test_throws MethodError Dates.Year(ms) == y
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@test Dates.Year(Dates.Date(2013, 1, 1)) == Dates.Year(2013)
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@test Dates.Year(Dates.DateTime(2013, 1, 1)) == Dates.Year(2013)
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@test typeof(y + m) <: Dates.CompoundPeriod
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@test typeof(m + y) <: Dates.CompoundPeriod
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@test typeof(y + w) <: Dates.CompoundPeriod
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@test typeof(y + d) <: Dates.CompoundPeriod
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@test typeof(y + h) <: Dates.CompoundPeriod
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@test typeof(y + mi) <: Dates.CompoundPeriod
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@test typeof(y + s) <: Dates.CompoundPeriod
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@test typeof(y + ms) <: Dates.CompoundPeriod
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@test typeof(y + us) <: Dates.CompoundPeriod
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@test typeof(y + ns) <: Dates.CompoundPeriod
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@test y > m
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@test d < w
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@test mi < h
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@test ms < h
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@test ms < mi
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@test us < ms
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@test ns < ms
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@test ns < us
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@test ns < w
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@test us < w
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@test typemax(Dates.Year) == Dates.Year(typemax(Int64))
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@test typemax(Dates.Year) + y == Dates.Year(-9223372036854775808)
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@test typemin(Dates.Year) == Dates.Year(-9223372036854775808)
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#Period-Real arithmetic
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@test_throws MethodError y + 1 == Dates.Year(2)
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@test_throws MethodError y + true == Dates.Year(2)
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@test_throws InexactError y + Dates.Year(1.2)
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@test y + Dates.Year(1f0) == Dates.Year(2)
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@test y * 4 == Dates.Year(4)
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@test y * 4f0 == Dates.Year(4)
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@test_throws InexactError y * 3//4 == Dates.Year(1)
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@test div(y, 2) == Dates.Year(0)
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@test_throws MethodError div(2, y) == Dates.Year(2)
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@test div(y, y) == 1
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@test y*10 % Dates.Year(5) == Dates.Year(0)
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@test_throws MethodError (y > 3) == false
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@test_throws MethodError (4 < y) == false
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@test 1 != y
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t = [y, y, y, y, y]
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@test t .+ Dates.Year(2) == [Dates.Year(3), Dates.Year(3), Dates.Year(3), Dates.Year(3), Dates.Year(3)]
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let x = Dates.Year(5), y = Dates.Year(2)
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@test div(x, y) * y + rem(x, y) == x
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@test fld(x, y) * y + mod(x, y) == x
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end
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# Associativity
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dt = Dates.DateTime(2012, 12, 21)
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test = ((((((((dt + y) - m) + w) - d) + h) - mi) + s) - ms)
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@test test == dt + y - m + w - d + h - mi + s - ms
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@test test == y - m + w - d + dt + h - mi + s - ms
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@test test == dt - m + y - d + w - mi + h - ms + s
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@test test == dt + (y - m + w - d + h - mi + s - ms)
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@test test == dt + y - m + w - d + (h - mi + s - ms)
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@test (dt + Dates.Year(4)) + Dates.Day(1) == dt + (Dates.Year(4) + Dates.Day(1))
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@test Dates.Date(2014, 1, 29) + Dates.Month(1) + Dates.Day(1) + Dates.Month(1) + Dates.Day(1) ==
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Dates.Date(2014, 1, 29) + Dates.Day(1) + Dates.Month(1) + Dates.Month(1) + Dates.Day(1)
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@test Dates.Date(2014, 1, 29) + Dates.Month(1) + Dates.Day(1) == Dates.Date(2014, 1, 29) + Dates.Day(1) + Dates.Month(1)
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# traits
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@test Dates._units(Dates.Year(0)) == " years"
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@test Dates._units(Dates.Year(1)) == " year"
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@test Dates._units(Dates.Year(-1)) == " year"
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@test Dates._units(Dates.Year(2)) == " years"
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@test Dates.string(Dates.Year(0)) == "0 years"
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@test Dates.string(Dates.Year(1)) == "1 year"
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@test Dates.string(Dates.Year(-1)) == "-1 year"
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@test Dates.string(Dates.Year(2)) == "2 years"
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@test zero(Dates.Year) == Dates.Year(0)
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@test zero(Dates.Year(10)) == Dates.Year(0)
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@test zero(Dates.Month) == Dates.Month(0)
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@test zero(Dates.Month(10)) == Dates.Month(0)
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@test zero(Dates.Day) == Dates.Day(0)
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@test zero(Dates.Day(10)) == Dates.Day(0)
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@test zero(Dates.Hour) == Dates.Hour(0)
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@test zero(Dates.Hour(10)) == Dates.Hour(0)
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@test zero(Dates.Minute) == Dates.Minute(0)
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@test zero(Dates.Minute(10)) == Dates.Minute(0)
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@test zero(Dates.Second) == Dates.Second(0)
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@test zero(Dates.Second(10)) == Dates.Second(0)
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@test zero(Dates.Millisecond) == Dates.Millisecond(0)
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@test zero(Dates.Millisecond(10)) == Dates.Millisecond(0)
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@test Dates.Year(-1) < Dates.Year(1)
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@test !(Dates.Year(-1) > Dates.Year(1))
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@test Dates.Year(1) == Dates.Year(1)
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@test Dates.Year(1) != 1
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@test 1 != Dates.Year(1)
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@test Dates.Month(-1) < Dates.Month(1)
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@test !(Dates.Month(-1) > Dates.Month(1))
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@test Dates.Month(1) == Dates.Month(1)
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@test Dates.Day(-1) < Dates.Day(1)
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@test !(Dates.Day(-1) > Dates.Day(1))
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@test Dates.Day(1) == Dates.Day(1)
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@test Dates.Hour(-1) < Dates.Hour(1)
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@test !(Dates.Hour(-1) > Dates.Hour(1))
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@test Dates.Hour(1) == Dates.Hour(1)
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@test Dates.Minute(-1) < Dates.Minute(1)
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@test !(Dates.Minute(-1) > Dates.Minute(1))
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@test Dates.Minute(1) == Dates.Minute(1)
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@test Dates.Second(-1) < Dates.Second(1)
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@test !(Dates.Second(-1) > Dates.Second(1))
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@test Dates.Second(1) == Dates.Second(1)
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@test Dates.Millisecond(-1) < Dates.Millisecond(1)
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@test !(Dates.Millisecond(-1) > Dates.Millisecond(1))
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@test Dates.Millisecond(1) == Dates.Millisecond(1)
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@test_throws MethodError Dates.Year(1) < Dates.Millisecond(1)
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@test_throws MethodError Dates.Millisecond(1) < Dates.Year(1)
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@test_throws MethodError Dates.Year(1) == Dates.Millisecond(1)
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@test_throws MethodError Dates.Millisecond(1) == Dates.Year(1)
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# Allow comparisons with new Period subtypes
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let
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# https://en.wikipedia.org/wiki/Swatch_Internet_Time
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struct Beat <: Dates.Period
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value::Int64
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end
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Dates.value(b::Beat) = b.value
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Dates.toms(b::Beat) = Dates.value(b) * 86400
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Dates._units(b::Beat) = " beat" * (abs(Dates.value(b)) == 1 ? "" : "s")
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Base.promote_rule(::Type{Dates.Day}, ::Type{Beat}) = Dates.Millisecond
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Base.convert{T<:Dates.Millisecond}(::Type{T}, b::Beat) = T(Dates.toms(b))
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@test Beat(1000) == Dates.Day(1)
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@test Beat(1) < Dates.Day(1)
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end
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@test Dates.Year("1") == y
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@test Dates.Month("1") == m
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@test Dates.Week("1") == w
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@test Dates.Day("1") == d
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@test Dates.Hour("1") == h
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@test Dates.Minute("1") == mi
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@test Dates.Second("1") == s
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@test Dates.Millisecond("1") == ms
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@test Dates.Microsecond("1") == us
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@test Dates.Nanosecond("1") == ns
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@test_throws ArgumentError Dates.Year("1.0")
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@test Dates.Year(parse(Float64, "1.0")) == y
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dt = Dates.DateTime(2014)
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@test typeof(Dates.Year(dt)) <: Dates.Year
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@test typeof(Dates.Month(dt)) <: Dates.Month
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@test typeof(Dates.Week(dt)) <: Dates.Week
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@test typeof(Dates.Day(dt)) <: Dates.Day
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@test typeof(Dates.Hour(dt)) <: Dates.Hour
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@test typeof(Dates.Minute(dt)) <: Dates.Minute
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@test typeof(Dates.Second(dt)) <: Dates.Second
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@test typeof(Dates.Millisecond(dt)) <: Dates.Millisecond
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# Default values
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@test Dates.default(Dates.Year) == y
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@test Dates.default(Dates.Month) == m
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@test Dates.default(Dates.Week) == w
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@test Dates.default(Dates.Day) == d
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@test Dates.default(Dates.Hour) == zero(Dates.Hour)
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@test Dates.default(Dates.Minute) == zero(Dates.Minute)
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@test Dates.default(Dates.Second) == zero(Dates.Second)
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@test Dates.default(Dates.Millisecond) == zero(Dates.Millisecond)
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@test Dates.default(Dates.Microsecond) == zero(Dates.Microsecond)
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@test Dates.default(Dates.Nanosecond) == zero(Dates.Nanosecond)
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# Conversions
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@test Dates.toms(ms) == Dates.value(Dates.Millisecond(ms)) == 1
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@test Dates.toms(s) == Dates.value(Dates.Millisecond(s)) == 1000
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@test Dates.toms(mi) == Dates.value(Dates.Millisecond(mi)) == 60000
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@test Dates.toms(h) == Dates.value(Dates.Millisecond(h)) == 3600000
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@test Dates.toms(d) == Dates.value(Dates.Millisecond(d)) == 86400000
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@test Dates.toms(w) == Dates.value(Dates.Millisecond(w)) == 604800000
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@test Dates.days(ms) == Dates.days(s) == Dates.days(mi) == Dates.days(h) == 0
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@test Dates.days(Dates.Millisecond(86400000)) == 1
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@test Dates.days(Dates.Second(86400)) == 1
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@test Dates.days(Dates.Minute(1440)) == 1
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@test Dates.days(Dates.Hour(24)) == 1
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@test Dates.days(d) == 1
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@test Dates.days(w) == 7
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# issue #9214
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@test 2s + (7ms + 1ms) == (2s + 7ms) + 1ms == 1ms + (2s + 7ms) == 1ms + (1s + 7ms) + 1s == 1ms + (2s + 3d + 7ms) + (-3d) == (1ms + (2s + 3d)) + (7ms - 3d) == (1ms + (2s + 3d)) - (3d - 7ms)
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@test 1ms - (2s + 7ms) == -((2s + 7ms) - 1ms) == (-6ms) - 2s
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emptyperiod = ((y + d) - d) - y
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@test emptyperiod == ((d + y) - y) - d == ((d + y) - d) - y
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@test emptyperiod == 2y + (m - d) + ms - ((m - d) + 2y + ms)
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@test emptyperiod == 0ms
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@test string(emptyperiod) == "empty period"
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@test string(ms + mi + d + m + y + w + h + s + 2y + m) == "3 years, 2 months, 1 week, 1 day, 1 hour, 1 minute, 1 second, 1 millisecond"
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@test 8d - s == 1w + 23h + 59mi + 59s
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@test h + 3mi == 63mi
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@test y - m == 11m
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# compound periods should avoid automatically converting period types
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@test (d - h).periods == Dates.Period[d, -h]
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@test d - h == 23h
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@test !isequal(d - h, 23h)
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@test isequal(d - h, 2d - 2h - 1d + 1h)
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# reduce compound periods into the most basic form
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@test Dates.canonicalize(h - mi).periods == Dates.Period[59mi]
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@test Dates.canonicalize(-h + mi).periods == Dates.Period[-59mi]
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@test Dates.canonicalize(-y + d).periods == Dates.Period[-y, d]
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@test Dates.canonicalize(-y + m - w + d).periods == Dates.Period[-11m, -6d]
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@test Dates.canonicalize(-y + m - w + ms).periods == Dates.Period[-11m, -6d, -23h, -59mi, -59s, -999ms]
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@test Dates.canonicalize(y - m + w - d + h - mi + s - ms).periods == Dates.Period[11m, 6d, 59mi, 999ms]
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@test Dates.canonicalize(-y + m - w + d - h + mi - s + ms).periods == Dates.Period[-11m, -6d, -59mi, -999ms]
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@test Dates.Date(2009, 2, 1) - (Dates.Month(1) + Dates.Day(1)) == Dates.Date(2008, 12, 31)
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@test_throws MethodError (Dates.Month(1) + Dates.Day(1)) - Dates.Date(2009,2,1)
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pa = [1y 1m 1w 1d; 1h 1mi 1s 1ms]
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cpa = [1y + 1s 1m + 1s 1w + 1s 1d + 1s; 1h + 1s 1mi + 1s 2m + 1s 1s + 1ms]
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@test +pa == pa == -(-pa)
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@test -pa == map(-, pa)
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@test 1y .+ pa == [2y 1y + 1m 1y + 1w 1y + 1d; 1y + 1h 1y + 1mi 1y + 1s 1y + 1ms]
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@test (1y + 1m) .+ pa == [2y + 1m 1y + 2m 1y + 1m + 1w 1y + 1m + 1d; 1y + 1m + 1h 1y + 1m + 1mi 1y + 1m + 1s 1y + 1m + 1ms]
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@test pa .+ 1y == [2y 1y + 1m 1y + 1w 1y + 1d; 1y + 1h 1y + 1mi 1y + 1s 1y + 1ms]
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@test pa .+ (1y + 1m) == [2y + 1m 1y + 2m 1y + 1m + 1w 1y + 1m + 1d; 1y + 1m + 1h 1y + 1m + 1mi 1y + 1m + 1s 1y + 1m + 1ms]
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@test 1y .+ cpa == [2y + 1s 1y + 1m + 1s 1y + 1w + 1s 1y + 1d + 1s; 1y + 1h + 1s 1y + 1mi + 1s 1y + 2m + 1s 1y + 1ms + 1s]
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@test (1y + 1m) .+ cpa == [2y + 1m + 1s 1y + 2m + 1s 1y + 1m + 1w + 1s 1y + 1m + 1d + 1s; 1y + 1m + 1h + 1s 1y + 1m + 1mi + 1s 1y + 3m + 1s 1y + 1m + 1s + 1ms]
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@test cpa .+ 1y == [2y + 1s 1y + 1m + 1s 1y + 1w + 1s 1y + 1d + 1s; 1y + 1h + 1s 1y + 1mi + 1s 1y + 2m + 1s 1y + 1ms + 1s]
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@test cpa .+ (1y + 1m) == [2y + 1m + 1s 1y + 2m + 1s 1y + 1m + 1w + 1s 1y + 1m + 1d + 1s; 1y + 1m + 1h + 1s 1y + 1m + 1mi + 1s 1y + 3m + 1s 1y + 1m + 1s + 1ms]
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@test 1y + pa == [2y 1y + 1m 1y + 1w 1y + 1d; 1y + 1h 1y + 1mi 1y + 1s 1y + 1ms]
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@test (1y + 1m) + pa == [2y + 1m 1y + 2m 1y + 1m + 1w 1y + 1m + 1d; 1y + 1m + 1h 1y + 1m + 1mi 1y + 1m + 1s 1y + 1m + 1ms]
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@test pa + 1y == [2y 1y + 1m 1y + 1w 1y + 1d; 1y + 1h 1y + 1mi 1y + 1s 1y + 1ms]
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@test pa + (1y + 1m) == [2y + 1m 1y + 2m 1y + 1m + 1w 1y + 1m + 1d; 1y + 1m + 1h 1y + 1m + 1mi 1y + 1m + 1s 1y + 1m + 1ms]
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@test 1y + cpa == [2y + 1s 1y + 1m + 1s 1y + 1w + 1s 1y + 1d + 1s; 1y + 1h + 1s 1y + 1mi + 1s 1y + 2m + 1s 1y + 1ms + 1s]
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@test (1y + 1m) + cpa == [2y + 1m + 1s 1y + 2m + 1s 1y + 1m + 1w + 1s 1y + 1m + 1d + 1s; 1y + 1m + 1h + 1s 1y + 1m + 1mi + 1s 1y + 3m + 1s 1y + 1m + 1s + 1ms]
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@test cpa + 1y == [2y + 1s 1y + 1m + 1s 1y + 1w + 1s 1y + 1d + 1s; 1y + 1h + 1s 1y + 1mi + 1s 1y + 2m + 1s 1y + 1ms + 1s]
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@test cpa + (1y + 1m) == [2y + 1m + 1s 1y + 2m + 1s 1y + 1m + 1w + 1s 1y + 1m + 1d + 1s; 1y + 1m + 1h + 1s 1y + 1m + 1mi + 1s 1y + 3m + 1s 1y + 1m + 1s + 1ms]
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@test 1y .- pa == [0y 1y-1m 1y-1w 1y-1d; 1y-1h 1y-1mi 1y-1s 1y-1ms]
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@test (1y + 1m) .- pa == [1m 1y 1y + 1m-1w 1y + 1m-1d; 1y + 1m-1h 1y + 1m-1mi 1y + 1m-1s 1y + 1m-1ms]
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@test pa .- (1y + 1m) == [-1m -1y -1y-1m + 1w -1y-1m + 1d; -1y-1m + 1h -1y-1m + 1mi -1y-1m + 1s -1y-1m + 1ms]
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@test pa .- 1y == [0y 1m-1y -1y + 1w -1y + 1d; -1y + 1h -1y + 1mi -1y + 1s -1y + 1ms]
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@test 1y .- cpa == [-1s 1y-1m-1s 1y-1w-1s 1y-1d-1s; 1y-1h-1s 1y-1mi-1s 1y-2m-1s 1y-1ms-1s]
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@test (1y + 1m) .- cpa == [1m-1s 1y-1s 1y + 1m-1w-1s 1y + 1m-1d-1s; 1y + 1m-1h-1s 1y + 1m-1mi-1s 1y-1m-1s 1y + 1m-1s-1ms]
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@test cpa .- 1y == [1s -1y + 1m + 1s -1y + 1w + 1s -1y + 1d + 1s; -1y + 1h + 1s -1y + 1mi + 1s -1y + 2m + 1s -1y + 1ms + 1s]
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@test cpa .- (1y + 1m) == [-1m + 1s -1y + 1s -1y-1m + 1w + 1s -1y-1m + 1d + 1s; -1y-1m + 1h + 1s -1y-1m + 1mi + 1s -1y + 1m + 1s -1y + -1m + 1s + 1ms]
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@test 1y - pa == [0y 1y-1m 1y-1w 1y-1d; 1y-1h 1y-1mi 1y-1s 1y-1ms]
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@test (1y + 1m) - pa == [1m 1y 1y + 1m-1w 1y + 1m-1d; 1y + 1m-1h 1y + 1m-1mi 1y + 1m-1s 1y + 1m-1ms]
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@test pa - (1y + 1m) == [-1m -1y -1y-1m + 1w -1y-1m + 1d; -1y-1m + 1h -1y-1m + 1mi -1y-1m + 1s -1y-1m + 1ms]
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@test pa - 1y == [0y 1m-1y -1y + 1w -1y + 1d; -1y + 1h -1y + 1mi -1y + 1s -1y + 1ms]
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@test 1y - cpa == [-1s 1y-1m-1s 1y-1w-1s 1y-1d-1s; 1y-1h-1s 1y-1mi-1s 1y-2m-1s 1y-1ms-1s]
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@test (1y + 1m) - cpa == [1m-1s 1y-1s 1y + 1m-1w-1s 1y + 1m-1d-1s; 1y + 1m-1h-1s 1y + 1m-1mi-1s 1y-1m-1s 1y + 1m-1s-1ms]
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@test cpa - 1y == [1s -1y + 1m + 1s -1y + 1w + 1s -1y + 1d + 1s; -1y + 1h + 1s -1y + 1mi + 1s -1y + 2m + 1s -1y + 1ms + 1s]
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@test cpa - (1y + 1m) == [-1m + 1s -1y + 1s -1y-1m + 1w + 1s -1y-1m + 1d + 1s; -1y-1m + 1h + 1s -1y-1m + 1mi + 1s -1y + 1m + 1s -1y + -1m + 1s + 1ms]
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@test [1y 1m; 1w 1d] + [1h 1mi; 1s 1ms] == [1y + 1h 1m + 1mi; 1w + 1s 1d + 1ms]
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@test [1y 1m; 1w 1d] - [1h 1mi; 1s 1ms] == [1y-1h 1m-1mi; 1w-1s 1d-1ms]
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@test [1y 1m; 1w 1d] - [1h 1mi; 1s 1ms] - [1y-1h 1m-1mi; 1w-1s 1d-1ms] == [emptyperiod emptyperiod; emptyperiod emptyperiod]
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@test [1y + 1s 1m + 1s; 1w + 1s 1d + 1s] + [1h 1mi; 1s 1ms] == [1y + 1h + 1s 1m + 1mi + 1s; 1w + 2s 1d + 1s + 1ms]
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@test [1y + 1s 1m + 1s; 1w + 1s 1d + 1s] - [1h 1mi; 1s 1ms] == [1y-1h + 1s 1m-1mi + 1s; 1w 1d + 1s-1ms]
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@test [1y 1m; 1w 1d] + [1h + 1s 1mi + 1s; 1m + 1s 1s + 1ms] == [1y + 1h + 1s 1m + 1mi + 1s; 1w + 1m + 1s 1d + 1s + 1ms]
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@test [1y 1m; 1w 1d] - [1h + 1s 1mi + 1s; 1m + 1s 1s + 1ms] == [1y-1h-1s 1m-1mi-1s; 1w-1m-1s 1d-1s-1ms]
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@test [1y + 1s 1m + 1s; 1w + 1s 1d + 1s] + [1y + 1h 1y + 1mi; 1y + 1s 1y + 1ms] == [2y + 1h + 1s 1y + 1m + 1mi + 1s; 1y + 1w + 2s 1y + 1d + 1s + 1ms]
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@test [1y + 1s 1m + 1s; 1w + 1s 1d + 1s] - [1y + 1h 1y + 1mi; 1y + 1s 1y + 1ms] == [1s-1h 1m + 1s-1y-1mi; 1w-1y 1d + 1s-1y-1ms]
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