# This file is a part of Julia. License is MIT: http://julialang.org/license # ranges @test size(10:1:0) == (0,) @test length(1:.2:2) == 6 @test length(1.:.2:2.) == 6 @test length(2:-.2:1) == 6 @test length(2.:-.2:1.) == 6 @test length(2:.2:1) == 0 @test length(2.:.2:1.) == 0 @test length(1:0) == 0 @test length(0.0:-0.5) == 0 @test length(1:2:0) == 0 L32 = linspace(Int32(1), Int32(4), 4) L64 = linspace(Int64(1), Int64(4), 4) @test L32[1] == 1 && L64[1] == 1 @test L32[2] == 2 && L64[2] == 2 @test L32[3] == 3 && L64[3] == 3 @test L32[4] == 4 && L64[4] == 4 r = 5:-1:1 @test r[1]==5 @test r[2]==4 @test r[3]==3 @test r[4]==2 @test r[5]==1 @test length(.1:.1:.3) == 3 @test length(1.1:1.1:3.3) == 3 @test length(1.1:1.3:3) == 2 @test length(1:1:1.8) == 1 @test (1:5)[1:4] == 1:4 @test (2:6)[1:4] == 2:5 @test (1:6)[2:5] == 2:5 @test typeof((1:6)[2:5]) == typeof(2:5) @test (1:6)[2:2:5] == 2:2:4 @test typeof((1:6)[2:2:5]) == typeof(2:2:4) @test (1:2:13)[2:6] == 3:2:11 @test typeof((1:2:13)[2:6]) == typeof(3:2:11) @test (1:2:13)[2:3:7] == 3:6:13 @test typeof((1:2:13)[2:3:7]) == typeof(3:6:13) @test isempty((1:4)[5:4]) @test_throws BoundsError (1:10)[8:-1:-2] r = typemax(Int)-5:typemax(Int)-1 @test_throws BoundsError r[7] @test findin([5.2, 3.3], 3:20) == findin([5.2, 3.3], collect(3:20)) let span = 5:20 r = -7:3:42 @test findin(r, span) == 5:10 r = 15:-2:-38 @test findin(r, span) == 1:6 end #@test isempty(findin(5+0*(1:6), 2:4)) #@test findin(5+0*(1:6), 2:5) == 1:6 #@test findin(5+0*(1:6), 2:7) == 1:6 #@test findin(5+0*(1:6), 5:7) == 1:6 #@test isempty(findin(5+0*(1:6), 6:7)) #@test findin(5+0*(1:6), 5:5) == 1:6 @test reverse(reverse(1:10)) == 1:10 @test reverse(reverse(typemin(Int):typemax(Int))) == typemin(Int):typemax(Int) @test reverse(reverse(typemin(Int):2:typemax(Int))) == typemin(Int):2:typemax(Int) @test intersect(1:5, 2:3) == 2:3 @test intersect(-3:5, 2:8) == 2:5 @test intersect(-8:-3, -8:-3) == -8:-3 @test intersect(1:5, 5:13) == 5:5 @test isempty(intersect(-8:-3, -2:2)) @test isempty(intersect(-3:7, 2:1)) @test intersect(1:11, -2:3:15) == 1:3:10 @test intersect(1:11, -2:2:15) == 2:2:10 @test intersect(1:11, -2:1:15) == 1:11 @test intersect(1:11, 15:-1:-2) == 1:11 @test intersect(1:11, 15:-4:-2) == 3:4:11 @test intersect(-20:-5, -10:3:-2) == -10:3:-7 @test isempty(intersect(-5:5, -6:13:20)) @test isempty(intersect(1:11, 15:4:-2)) @test isempty(intersect(11:1, 15:-4:-2)) #@test intersect(-5:5, 1+0*(1:3)) == 1:1 #@test isempty(intersect(-5:5, 6+0*(1:3))) @test intersect(-15:4:7, -10:-2) == -7:4:-3 @test intersect(13:-2:1, -2:8) == 7:-2:1 @test isempty(intersect(13:2:1, -2:8)) @test isempty(intersect(13:-2:1, 8:-2)) #@test intersect(5+0*(1:4), 2:8) == 5+0*(1:4) #@test isempty(intersect(5+0*(1:4), -7:3)) @test intersect(0:3:24, 0:4:24) == 0:12:24 @test intersect(0:4:24, 0:3:24) == 0:12:24 @test intersect(0:3:24, 24:-4:0) == 0:12:24 @test intersect(24:-3:0, 0:4:24) == 24:-12:0 @test intersect(24:-3:0, 24:-4:0) == 24:-12:0 @test intersect(1:3:24, 0:4:24) == 4:12:16 @test intersect(0:6:24, 0:4:24) == 0:12:24 @test isempty(intersect(1:6:2400, 0:4:2400)) @test intersect(-51:5:100, -33:7:125) == -26:35:79 @test intersect(-51:5:100, -32:7:125) == -11:35:94 #@test intersect(0:6:24, 6+0*(0:4:24)) == 6:6:6 #@test intersect(12+0*(0:6:24), 0:4:24) == Range(12, 0, 5) #@test isempty(intersect(6+0*(0:6:24), 0:4:24)) @test intersect(-10:3:24, -10:3:24) == -10:3:23 @test isempty(intersect(-11:3:24, -10:3:24)) @test intersect(typemin(Int):2:typemax(Int),1:10) == 2:2:10 @test intersect(1:10,typemin(Int):2:typemax(Int)) == 2:2:10 @test intersect(reverse(typemin(Int):2:typemax(Int)),typemin(Int):2:typemax(Int)) == reverse(typemin(Int):2:typemax(Int)) @test intersect(typemin(Int):2:typemax(Int),reverse(typemin(Int):2:typemax(Int))) == typemin(Int):2:typemax(Int) @test intersect(UnitRange(1,2),3) == UnitRange(3,2) @test intersect(UnitRange(1,2), UnitRange(1,5), UnitRange(3,7), UnitRange(4,6)) == UnitRange(4,3) @test intersect(1:3, 2) === intersect(2, 1:3) === 2:2 @test intersect(1.0:3.0, 2) == intersect(2, 1.0:3.0) == [2.0] @test sort(UnitRange(1,2)) == UnitRange(1,2) @test sort!(UnitRange(1,2)) == UnitRange(1,2) @test sort(1:10, rev=true) == collect(10:-1:1) @test sort(-3:3, by=abs) == [0,-1,1,-2,2,-3,3] @test select(1:10, 4) == 4 @test 0 in UInt(0):100:typemax(UInt) @test last(UInt(0):100:typemax(UInt)) in UInt(0):100:typemax(UInt) @test -9223372036854775790 in -9223372036854775790:100:9223372036854775710 @test -9223372036854775690 in -9223372036854775790:100:9223372036854775710 @test -90 in -9223372036854775790:100:9223372036854775710 @test 10 in -9223372036854775790:100:9223372036854775710 @test 110 in -9223372036854775790:100:9223372036854775710 @test 9223372036854775610 in -9223372036854775790:100:9223372036854775710 @test 9223372036854775710 in -9223372036854775790:100:9223372036854775710 @test !(3.5 in 1:5) @test (3 in 1:5) @test (3 in 5:-1:1) #@test (3 in 3+0*(1:5)) #@test !(4 in 3+0*(1:5)) r = 0.0:0.01:1.0 @test (r[30] in r) r = (-4*Int64(maxintfloat(is(Int,Int32) ? Float32 : Float64))):5 @test (3 in r) @test (3.0 in r) @test !(1 in 1:0) @test !(1.0 in 1.0:0.0) # indexing range with empty range (#4309) @test (3:6)[5:4] == 7:6 @test_throws BoundsError (3:6)[5:5] @test_throws BoundsError (3:6)[5] @test (0:2:10)[7:6] == 12:2:10 @test_throws BoundsError (0:2:10)[7:7] # indexing with negative ranges (#8351) for a=Range[3:6, 0:2:10], b=Range[0:1, 2:-1:0] @test_throws BoundsError a[b] end # avoiding intermediate overflow (#5065) @test length(1:4:typemax(Int)) == div(typemax(Int),4) + 1 # overflow in length @test_throws OverflowError length(0:typemax(Int)) @test_throws OverflowError length(typemin(Int):typemax(Int)) @test_throws OverflowError length(-1:typemax(Int)-1) let s = 0 # loops ending at typemax(Int) for i = (typemax(Int)-1):typemax(Int) s += 1 @test s <= 2 end @test s == 2 s = 0 for i = (typemax(Int)-2):(typemax(Int)-1) s += 1 @test s <= 2 end @test s == 2 s = 0 for i = typemin(Int):(typemin(Int)+1) s += 1 @test s <= 2 end @test s == 2 # loops covering the full range of smaller integer types s = 0 for i = typemin(UInt8):typemax(UInt8) s += 1 end @test s == 256 s = 0 for i = typemin(UInt8):one(UInt8):typemax(UInt8) s += 1 end @test s == 256 # loops past typemax(Int) n = 0 s = Int128(0) for i = typemax(UInt64)-2:typemax(UInt64) n += 1 s += i end @test n == 3 @test s == 3*Int128(typemax(UInt64)) - 3 # loops over empty ranges s = 0 for i = 0xff:0x00 s += 1 end @test s == 0 s = 0 for i = Int128(typemax(Int128)):Int128(typemin(Int128)) s += 1 end @test s == 0 end # sums of ranges @test sum(1:100) == 5050 @test sum(0:100) == 5050 @test sum(-100:100) == 0 @test sum(0:2:100) == 2550 # overflowing sums (see #5798) if Sys.WORD_SIZE == 64 @test sum(Int128(1):10^18) == div(10^18 * (Int128(10^18)+1), 2) @test sum(Int128(1):10^18-1) == div(10^18 * (Int128(10^18)-1), 2) else @test sum(Int64(1):10^9) == div(10^9 * (Int64(10^9)+1), 2) @test sum(Int64(1):10^9-1) == div(10^9 * (Int64(10^9)-1), 2) end # Tricky sums of FloatRange #8272 @test sum(10000.:-0.0001:0) == 5.00000005e11 @test sum(0:0.001:1) == 500.5 @test sum(0:0.000001:1) == 500000.5 @test sum(0:0.1:10) == 505. # operations with scalars @test (1:3) - 2 == -1:1 @test (1:3) - 0.25 == 1-0.25:3-0.25 @test (1:3) + 2 == 3:5 @test (1:3) + 0.25 == 1+0.25:3+0.25 @test (1:2:6) + 1 == 2:2:6 @test (1:2:6) + 0.3 == 1+0.3:2:5+0.3 @test (1:2:6) - 1 == 0:2:4 @test (1:2:6) - 0.3 == 1-0.3:2:5-0.3 @test 2 .- (1:3) == 1:-1:-1 # operations between ranges and arrays @test all(([1:5;] + (5:-1:1)) .== 6) @test all(((5:-1:1) + [1:5;]) .== 6) @test all(([1:5;] - (1:5)) .== 0) @test all(((1:5) - [1:5;]) .== 0) # tricky floating-point ranges @test [0.1:0.1:0.3;] == [linspace(0.1,0.3,3);] == [1:3;]./10 @test [0.0:0.1:0.3;] == [linspace(0.0,0.3,4);] == [0:3;]./10 @test [0.3:-0.1:-0.1;] == [linspace(0.3,-0.1,5);] == [3:-1:-1;]./10 @test [0.1:-0.1:-0.3;] == [linspace(0.1,-0.3,5);] == [1:-1:-3;]./10 @test [0.0:0.1:1.0;] == [linspace(0.0,1.0,11);] == [0:10;]./10 @test [0.0:-0.1:1.0;] == [linspace(0.0,1.0,0);] == [] @test [0.0:0.1:-1.0;] == [linspace(0.0,-1.0,0);] == [] @test [0.0:-0.1:-1.0;] == [linspace(0.0,-1.0,11);] == [0:-1:-10;]./10 @test [1.0:1/49:27.0;] == [linspace(1.0,27.0,1275);] == [49:1323;]./49 @test [0.0:0.7:2.1;] == [linspace(0.0,2.1,4);] == [0:7:21;]./10 @test [0.0:1.1:3.3;] == [linspace(0.0,3.3,4);] == [0:11:33;]./10 @test [0.1:1.1:3.4;] == [linspace(0.1,3.4,4);] == [1:11:34;]./10 @test [0.0:1.3:3.9;] == [linspace(0.0,3.9,4);] == [0:13:39;]./10 @test [0.1:1.3:4.0;] == [linspace(0.1,4.0,4);] == [1:13:40;]./10 @test [1.1:1.1:3.3;] == [linspace(1.1,3.3,3);] == [11:11:33;]./10 @test [0.3:0.1:1.1;] == [linspace(0.3,1.1,9);] == [3:1:11;]./10 @test [0.0:1.0:0.0;] == [linspace(0.0,0.0,1);] == [0.0] @test [0.0:-1.0:0.0;] == [linspace(0.0,0.0,1);] == [0.0] @test [0.0:1.0:5.5;] == [0:10:55;]./10 @test [0.0:-1.0:0.5;] == [] @test [0.0:1.0:0.5;] == [0.0] @test [prevfloat(0.1):0.1:0.3;] == [prevfloat(0.1), 0.2, 0.3] @test [nextfloat(0.1):0.1:0.3;] == [nextfloat(0.1), 0.2] @test [prevfloat(0.0):0.1:0.3;] == [prevfloat(0.0), 0.1, 0.2] @test [nextfloat(0.0):0.1:0.3;] == [nextfloat(0.0), 0.1, 0.2] @test [0.1:0.1:prevfloat(0.3);] == [0.1, 0.2] @test [0.1:0.1:nextfloat(0.3);] == [0.1, 0.2, nextfloat(0.3)] @test [0.0:0.1:prevfloat(0.3);] == [0.0, 0.1, 0.2] @test [0.0:0.1:nextfloat(0.3);] == [0.0, 0.1, 0.2, nextfloat(0.3)] @test [0.1:prevfloat(0.1):0.3;] == [0.1, 0.2, 0.3] @test [0.1:nextfloat(0.1):0.3;] == [0.1, 0.2] @test [0.0:prevfloat(0.1):0.3;] == [0.0, prevfloat(0.1), prevfloat(0.2), 0.3] @test [0.0:nextfloat(0.1):0.3;] == [0.0, nextfloat(0.1), nextfloat(0.2)] for T = (Float32, Float64,),# BigFloat), a = -5:25, s = [-5:-1;1:25;], d = 1:25, n = -1:15 den = convert(T,d) start = convert(T,a)/den step = convert(T,s)/den stop = convert(T,(a+(n-1)*s))/den vals = T[a:s:a+(n-1)*s;]./den r = start:step:stop @test [r;] == vals @test [linspace(start, stop, length(r));] == vals # issue #7420 n = length(r) @test [r[1:n];] == [r;] @test [r[2:n];] == [r;][2:end] @test [r[1:3:n];] == [r;][1:3:n] @test [r[2:2:n];] == [r;][2:2:n] @test [r[n:-1:2];] == [r;][n:-1:2] @test [r[n:-2:1];] == [r;][n:-2:1] end # linspace & ranges with very small endpoints for T = (Float32, Float64) z = zero(T) u = eps(z) @test first(linspace(u,u,0)) == u @test last(linspace(u,u,0)) == u @test first(linspace(-u,u,0)) == -u @test last(linspace(-u,u,0)) == u @test [linspace(-u,u,0);] == [] @test [linspace(-u,-u,1);] == [-u] @test [linspace(-u,u,2);] == [-u,u] @test [linspace(-u,u,3);] == [-u,0,u] @test [linspace(-u,u,4);] == [-u,0,0,u] @test [linspace(-u,u,4);][2] === -z @test [linspace(-u,u,4);][3] === z @test first(linspace(-u,-u,0)) == -u @test last(linspace(-u,-u,0)) == -u @test first(linspace(u,-u,0)) == u @test last(linspace(u,-u,0)) == -u @test [linspace(u,-u,0);] == [] @test [linspace(u,u,1);] == [u] @test [linspace(u,-u,2);] == [u,-u] @test [linspace(u,-u,3);] == [u,0,-u] @test [linspace(u,-u,4);] == [u,0,0,-u] @test [linspace(u,-u,4);][2] === z @test [linspace(u,-u,4);][3] === -z v = [linspace(-u,u,12);] @test length(v) == 12 @test issorted(v) && unique(v) == [-u,0,0,u] @test [-3u:u:3u;] == [linspace(-3u,3u,7);] == [-3:3;].*u @test [3u:-u:-3u;] == [linspace(3u,-3u,7);] == [3:-1:-3;].*u end # linspace with very large endpoints for T = (Float32, Float64) a = realmax() for i = 1:5 @test [linspace(a,a,1);] == [a] @test [linspace(-a,-a,1);] == [-a] b = realmax() for j = 1:5 @test [linspace(-a,b,0);] == [] @test [linspace(-a,b,2);] == [-a,b] @test [linspace(-a,b,3);] == [-a,(b-a)/2,b] @test [linspace(a,-b,0);] == [] @test [linspace(a,-b,2);] == [a,-b] @test [linspace(a,-b,3);] == [a,(a-b)/2,-b] for c = maxintfloat(T)-3:maxintfloat(T) s = linspace(-a,b,c) @test first(s) == -a @test last(s) == b c <= typemax(Int) && @test length(s) == c @test s.len == c s = linspace(a,-b,c) @test first(s) == a @test last(s) == -b c <= typemax(Int) && @test length(s) == c @test s.len == c end b = prevfloat(b) end a = prevfloat(a) end end # near-equal ranges @test 0.0:0.1:1.0 != 0.0f0:0.1f0:1.0f0 # comparing and hashing ranges let Rs = Range[1:2, map(Int32,1:3:17), map(Int64,1:3:17), 1:0, 17:-3:0, 0.0:0.1:1.0, map(Float32,0.0:0.1:1.0), linspace(0, 1, 20), map(Float32, linspace(0, 1, 20))] for r in Rs ar = collect(r) @test r != ar @test !isequal(r,ar) for s in Rs as = collect(s) @test !isequal(r,s) || hash(r)==hash(s) @test (r==s) == (ar==as) end end end @test 1:2:10 == 1:2:10 != 1:3:10 != 1:3:13 != 2:3:13 == 2:3:11 != 2:11 @test 1:1:10 == 1:10 == 1:10 == Base.OneTo(10) == Base.OneTo(10) @test 1:10 != 2:10 != 2:11 != Base.OneTo(11) @test Base.OneTo(10) != Base.OneTo(11) != 1:10 # issue #2959 @test 1.0:1.5 == 1.0:1.0:1.5 == 1.0:1.0 #@test 1.0:(.3-.1)/.1 == 1.0:2.0 let r = typemin(Int64):2:typemax(Int64), s = typemax(Int64):-2:typemin(Int64) @test first(r) == typemin(Int64) @test last(r) == (typemax(Int64)-1) @test_throws OverflowError length(r) @test first(s) == typemax(Int64) @test last(s) == (typemin(Int64)+1) @test_throws OverflowError length(s) end @test length(typemin(Int64):3:typemax(Int64)) == 6148914691236517206 @test length(typemax(Int64):-3:typemin(Int64)) == 6148914691236517206 for s in 3:100 @test length(typemin(Int):s:typemax(Int)) == length(big(typemin(Int)):big(s):big(typemax(Int))) @test length(typemax(Int):-s:typemin(Int)) == length(big(typemax(Int)):big(-s):big(typemin(Int))) end @test length(UInt(1):UInt(1):UInt(0)) == 0 @test length(typemax(UInt):UInt(1):(typemax(UInt)-1)) == 0 @test length(typemax(UInt):UInt(2):(typemax(UInt)-1)) == 0 @test length((typemin(Int)+3):5:(typemin(Int)+1)) == 0 # issue #6364 @test length((1:64)*(pi/5)) == 64 # issue #6973 let r1 = 1.0:0.1:2.0, r2 = 1.0f0:0.2f0:3.0f0, r3 = 1:2:21 @test r1 + r1 == 2*r1 @test r1 + r2 == 2.0:0.3:5.0 @test (r1 + r2) - r2 == r1 @test r1 + r3 == convert(FloatRange{Float64}, r3) + r1 @test r3 + r3 == 2 * r3 end # issue #7114 r = -0.004532318104333742:1.2597349521122731e-5:0.008065031416788989 @test length(r[1:end-1]) == length(r) - 1 @test isa(r[1:2:end],Range) && length(r[1:2:end]) == div(length(r)+1, 2) @test r[3:5][2] ≈ r[4] @test r[5:-2:1][2] ≈ r[3] @test_throws BoundsError r[0:10] @test_throws BoundsError r[1:10000] r = linspace(1/3,5/7,6) @test length(r) == 6 @test r[1] == 1/3 @test abs(r[end] - 5/7) <= eps(5/7) r = linspace(0.25,0.25,1) @test length(r) == 1 @test_throws ErrorException linspace(0.25,0.5,1) # issue #7426 @test [typemax(Int):1:typemax(Int);] == [typemax(Int)] #issue #7484 r7484 = 0.1:0.1:1 @test [reverse(r7484);] == reverse([r7484;]) # issue #7387 for r in (0:1, 0.0:1.0) @test r+im == [r;]+im @test r-im == [r;]-im @test r*im == [r;]*im @test r/im == [r;]/im end # issue #7709 @test length(map(identity, 0x01:0x05)) == 5 @test length(map(identity, 0x0001:0x0005)) == 5 @test length(map(identity, UInt64(1):UInt64(5))) == 5 @test length(map(identity, UInt128(1):UInt128(5))) == 5 # mean/median for f in (mean, median) for n = 2:5 @test f(2:n) == f([2:n;]) @test f(2:0.1:n) ≈ f([2:0.1:n;]) end end # issue #8531 let smallint = (Int === Int64 ? (Int8,UInt8,Int16,UInt16,Int32,UInt32) : (Int8,UInt8,Int16,UInt16)) for T in smallint @test length(typemin(T):typemax(T)) == 2^(8*sizeof(T)) end end # issue #8584 @test (0:1//2:2)[1:2:3] == 0:1//1:1 # issue #12278 @test length(1:UInt(0)) == 0 # zip let i = 0 x = 1:2:8 y = 2:2:8 xy = 1:8 for (thisx, thisy) in zip(x, y) @test thisx == xy[i+=1] @test thisy == xy[i+=1] end end # issue #9962 @test eltype(0:1//3:10) <: Rational @test (0:1//3:10)[1] == 0 @test (0:1//3:10)[2] == 1//3 # converting ranges (issue #10965) @test promote(0:1, UInt8(2):UInt8(5)) === (0:1, 2:5) @test convert(UnitRange{Int}, 0:5) === 0:5 @test convert(UnitRange{Int128}, 0:5) === Int128(0):Int128(5) @test promote(0:1:1, UInt8(2):UInt8(1):UInt8(5)) === (0:1:1, 2:1:5) @test convert(StepRange{Int,Int}, 0:1:1) === 0:1:1 @test convert(StepRange{Int128,Int128}, 0:1:1) === Int128(0):Int128(1):Int128(1) @test promote(0:1:1, 2:5) === (0:1:1, 2:1:5) @test convert(StepRange{Int128,Int128}, 0:5) === Int128(0):Int128(1):Int128(5) @test convert(StepRange, 0:5) === 0:1:5 @test convert(StepRange{Int128,Int128}, 0.:5) === Int128(0):Int128(1):Int128(5) @test_throws ArgumentError StepRange(1.1,1,5.1) @test promote(0f0:inv(3f0):1f0, 0.:2.:5.) === (0:1/3:1, 0.:2.:5.) @test convert(FloatRange{Float64}, 0:1/3:1) === 0:1/3:1 @test convert(FloatRange{Float64}, 0f0:inv(3f0):1f0) === 0:1/3:1 @test promote(0:1/3:1, 0:5) === (0:1/3:1, 0.:1.:5.) @test convert(FloatRange{Float64}, 0:5) === 0.:1.:5. @test convert(FloatRange{Float64}, 0:1:5) === 0.:1.:5. @test convert(FloatRange, 0:5) === 0.:1.:5. @test convert(FloatRange, 0:1:5) === 0.:1.:5. # Issue #11245 let io = IOBuffer() show(io, linspace(1, 2, 3)) str = takebuf_string(io) @test str == "linspace(1.0,2.0,3)" end # issue 10950 r = 1//2:3 @test length(r) == 3 i = 1 for x in r @test x == i//2 i += 2 end @test i == 7 # stringmime/show should display the range or linspace nicely # to test print_range in range.jl replstrmime(x) = sprint((io,x) -> show(IOContext(io, limit=true), MIME("text/plain"), x), x) @test replstrmime(1:4) == "1:4" @test stringmime("text/plain", 1:4) == "1:4" @test stringmime("text/plain", linspace(1,5,7)) == "7-element LinSpace{Float64}:\n 1.0,1.66667,2.33333,3.0,3.66667,4.33333,5.0" @test repr(linspace(1,5,7)) == "linspace(1.0,5.0,7)" @test replstrmime(0:100.) == "0.0:1.0:100.0" # next is to test a very large range, which should be fast because print_range # only examines spacing of the left and right edges of the range, sufficient # to cover the designated screen size. @test replstrmime(linspace(0,100, 10000)) == "10000-element LinSpace{Float64}:\n 0.0,0.010001,0.020002,0.030003,0.040004,…,99.95,99.96,99.97,99.98,99.99,100.0" @test sprint(io -> show(io,UnitRange(1,2))) == "1:2" @test sprint(io -> show(io,StepRange(1,2,5))) == "1:2:5" # Issue 11049 and related @test promote(linspace(0f0, 1f0, 3), linspace(0., 5., 2)) === (linspace(0., 1., 3), linspace(0., 5., 2)) @test convert(LinSpace{Float64}, linspace(0., 1., 3)) === linspace(0., 1., 3) @test convert(LinSpace{Float64}, linspace(0f0, 1f0, 3)) === linspace(0., 1., 3) @test promote(linspace(0., 1., 3), 0:5) === (linspace(0., 1., 3), linspace(0., 5., 6)) @test convert(LinSpace{Float64}, 0:5) === linspace(0., 5., 6) @test convert(LinSpace{Float64}, 0:1:5) === linspace(0., 5., 6) @test convert(LinSpace, 0:5) === linspace(0., 5., 6) @test convert(LinSpace, 0:1:5) === linspace(0., 5., 6) function test_range_index(r, s) @test typeof(r[s]) == typeof(r) @test [r;][s] == [r[s];] end test_range_index(linspace(0.1, 0.3, 3), 1:2) test_range_index(linspace(0.1, 0.3, 3), 1:0) test_range_index(linspace(1.0, 1.0, 1), 1:1) test_range_index(linspace(1.0, 1.0, 1), 1:0) test_range_index(linspace(1.0, 2.0, 0), 1:0) function test_linspace_identity{T}(r::LinSpace{T}, mr::LinSpace{T}) @test -r == mr @test -collect(r) == collect(mr) @test isa(-r, LinSpace) @test 1 + r + (-1) == r @test 1 + collect(r) == collect(1 + r) == collect(r + 1) @test isa(1 + r + (-1), LinSpace) @test 1 - r - 1 == mr @test 1 - collect(r) == collect(1 - r) == collect(1 + mr) @test collect(r) - 1 == collect(r - 1) == -collect(mr + 1) @test isa(1 - r - 1, LinSpace) @test 1 * r * 1 == r @test 2 * r * T(0.5) == r @test isa(1 * r * 1, LinSpace) @test r / 1 == r @test r / 2 * 2 == r @test r / T(0.5) * T(0.5) == r @test isa(r / 1, LinSpace) @test (2 * collect(r) == collect(r * 2) == collect(2 * r) == collect(r * T(2.0)) == collect(T(2.0) * r) == collect(r / T(0.5)) == -collect(mr * T(2.0))) end test_linspace_identity(linspace(1.0, 27.0, 10), linspace(-1.0, -27.0, 10)) test_linspace_identity(linspace(1f0, 27f0, 10), linspace(-1f0, -27f0, 10)) test_linspace_identity(linspace(1.0, 27.0, 0), linspace(-1.0, -27.0, 0)) test_linspace_identity(linspace(1f0, 27f0, 0), linspace(-1f0, -27f0, 0)) test_linspace_identity(linspace(1.0, 1.0, 1), linspace(-1.0, -1.0, 1)) test_linspace_identity(linspace(1f0, 1f0, 1), linspace(-1f0, -1f0, 1)) @test reverse(linspace(1.0, 27.0, 1275)) == linspace(27.0, 1.0, 1275) @test [reverse(linspace(1.0, 27.0, 1275));] == reverse([linspace(1.0, 27.0, 1275);]) # PR 12200 and related for _r in (1:2:100, 1:100, 1f0:2f0:100f0, 1.0:2.0:100.0, linspace(1, 100, 10), linspace(1f0, 100f0, 10)) float_r = float(_r) big_r = big(_r) @test typeof(big_r).name === typeof(_r).name if eltype(_r) <: AbstractFloat @test isa(float_r, typeof(_r)) @test eltype(big_r) === BigFloat else @test isa(float_r, Range) @test eltype(float_r) <: AbstractFloat @test eltype(big_r) === BigInt end end @test_throws DimensionMismatch linspace(1.,5.,5) + linspace(1.,5.,6) @test_throws DimensionMismatch linspace(1.,5.,5) - linspace(1.,5.,6) @test_throws DimensionMismatch linspace(1.,5.,5) .* linspace(1.,5.,6) @test_throws DimensionMismatch linspace(1.,5.,5) ./ linspace(1.,5.,6) @test_throws DimensionMismatch (1:5) + (1:6) @test_throws DimensionMismatch (1:5) - (1:6) @test_throws DimensionMismatch (1:5) .* (1:6) @test_throws DimensionMismatch (1:5) ./ (1:6) @test_throws DimensionMismatch (1.:5.) + (1.:6.) @test_throws DimensionMismatch (1.:5.) - (1.:6.) @test_throws DimensionMismatch (1.:5.) .* (1.:6.) @test_throws DimensionMismatch (1.:5.) ./ (1.:6.) function test_range_sum_diff(r1, r2, r_sum, r_diff) @test r1 + r2 == r_sum @test r2 + r1 == r_sum @test r1 - r2 == r_diff @test r2 - r1 == -r_diff @test collect(r1) + collect(r2) == collect(r_sum) @test collect(r2) + collect(r1) == collect(r_sum) @test collect(r1) - collect(r2) == collect(r_diff) @test collect(r2) - collect(r1) == collect(-r_diff) end test_range_sum_diff(1:5, 0:2:8, 1:3:13, 1:-1:-3) test_range_sum_diff(1.:5., 0.:2.:8., 1.:3.:13., 1.:-1.:-3.) test_range_sum_diff(linspace(1.,5.,5), linspace(0.,-4.,5), linspace(1.,1.,5), linspace(1.,9.,5)) test_range_sum_diff(1:5, 0.:2.:8., 1.:3.:13., 1.:-1.:-3.) test_range_sum_diff(1:5, linspace(0, 8, 5), linspace(1, 13, 5), linspace(1, -3, 5)) test_range_sum_diff(1.:5., linspace(0, 8, 5), linspace(1, 13, 5), linspace(1, -3, 5)) # Issue #12388 let r = 0x02:0x05 @test r[2:3] == 0x03:0x04 end # Issue #13738 for r in (big(1):big(2), UInt128(1):UInt128(2), 0x1:0x2) rr = r[r] @test typeof(rr) == typeof(r) @test r[r] == r # these calls to similar must not throw: @test size(similar(r, size(r))) == size(similar(r, length(r))) end # sign, conj, ~ (Issue #16067) let A = -1:1, B = -1.0:1.0 @test sign(A) == [-1,0,1] @test sign(B) == [-1,0,1] @test typeof(sign(A)) === Vector{Int} @test typeof(sign(B)) === Vector{Float64} @test conj(A) === A @test conj(B) === B @test ~A == [0,-1,-2] @test typeof(~A) == Vector{Int} end # conversion to Array let r = 1:3, a = [1,2,3] @test convert(Array, r) == a @test convert(Array{Int}, r) == a @test convert(Array{Float64}, r) == a @test convert(Array{Int,1}, r) == a @test convert(Array{Float64,1}, r) == a end # OneTo r = Base.OneTo(-5) @test isempty(r) @test length(r) == 0 @test size(r) == (0,) r = Base.OneTo(3) @test !isempty(r) @test length(r) == 3 @test size(r) == (3,) @test step(r) == 1 @test first(r) == 1 @test last(r) == 3 @test minimum(r) == 1 @test maximum(r) == 3 @test r[2] == 2 @test r[2:3] === 2:3 @test_throws BoundsError r[4] @test_throws BoundsError r[0] @test r+1 === 2:4 @test 2*r === 2:2:6 @test r+r === 2:2:6 k = 0 for i in r @test i == (k+=1) end @test intersect(r, Base.OneTo(2)) == Base.OneTo(2) @test intersect(r, 0:5) == 1:3 @test intersect(r, 2) === intersect(2, r) === 2:2 @test findin(r, r) === findin(r, 1:length(r)) === findin(1:length(r), r) === 1:length(r) r2 = Base.OneTo(7) @test findin(r2, 2:length(r2)-1) === 2:length(r2)-1 @test findin(2:length(r2)-1, r2) === 1:length(r2)-2 io = IOBuffer() show(io, r) str = takebuf_string(io) @test str == "Base.OneTo(3)"