Revision bc7ba3d5c8b2dab1c0e19537739b67c2da902d11 authored by Keno Fischer on 20 March 2024, 06:35:46 UTC, committed by GitHub on 20 March 2024, 06:35:46 UTC
This passes slightly more information into this function (the full
`inst` rather than just the `stmt`) in order to allow external absint to
access additional fields (the flags and the info) if necessary to make
concrete evaluation decisions. It also splits out the actual concrete
evaluation from the part that just maps the `inst` to a CodeInstance.
1 parent e0bb95a
Raw File
ryu.jl
# This file is a part of Julia. License is MIT: https://julialang.org/license

using Base.Ryu

const maxMantissa = (UInt64(1) << 53) - 1
todouble(sign, exp, mant) = Core.bitcast(Float64, (UInt64(sign) << 63) | (UInt64(exp) << 52) | (UInt64(mant)))

@testset "Ryu" begin

@testset "Float64" begin

@testset "Basic" begin
    @test Ryu.writeshortest(0.0) == "0.0"
    @test Ryu.writeshortest(-0.0) == "-0.0"
    @test Ryu.writeshortest(1.0) == "1.0"
    @test Ryu.writeshortest(-1.0) == "-1.0"
    @test Ryu.writeshortest(NaN) == "NaN"
    @test Ryu.writeshortest(Inf) == "Inf"
    @test Ryu.writeshortest(-Inf) == "-Inf"
end

@testset "SwitchToSubnormal" begin
    @test "2.2250738585072014e-308" == Ryu.writeshortest(2.2250738585072014e-308)
end

@testset "MinAndMax" begin
    @test "1.7976931348623157e308" == Ryu.writeshortest(Core.bitcast(Float64, 0x7fefffffffffffff))
    @test "5.0e-324" == Ryu.writeshortest(Core.bitcast(Float64, Int64(1)))
end

@testset "LotsOfTrailingZeros" begin
    @test "2.9802322387695312e-8" == Ryu.writeshortest(2.98023223876953125e-8)
end

@testset "Regression" begin
    @test "-2.109808898695963e16" == Ryu.writeshortest(-2.109808898695963e16)
    @test "4.940656e-318" == Ryu.writeshortest(4.940656e-318)
    @test "1.18575755e-316" == Ryu.writeshortest(1.18575755e-316)
    @test "2.989102097996e-312" == Ryu.writeshortest(2.989102097996e-312)
    @test "9.0608011534336e15" == Ryu.writeshortest(9.0608011534336e15)
    @test "4.708356024711512e18" == Ryu.writeshortest(4.708356024711512e18)
    @test "9.409340012568248e18" == Ryu.writeshortest(9.409340012568248e18)
    @test "1.2345678" == Ryu.writeshortest(1.2345678)
end

@testset "LooksLikePow5" begin
    # These numbers have a mantissa that is a multiple of the largest power of 5 that fits,
    # and an exponent that causes the computation for q to result in 22, which is a corner
    # case for Ryu.
    @test "5.764607523034235e39" == Ryu.writeshortest(Core.bitcast(Float64, 0x4830F0CF064DD592))
    @test "1.152921504606847e40" == Ryu.writeshortest(Core.bitcast(Float64, 0x4840F0CF064DD592))
    @test "2.305843009213694e40" == Ryu.writeshortest(Core.bitcast(Float64, 0x4850F0CF064DD592))
end

@testset "pow5 overflow (#47464)" begin
    @test "4.6458339e+63" == Ryu.writeexp(4.645833859177319e63, 7)
    @test "4.190673780e+40" == Ryu.writeexp(4.190673779576499e40, 9)
end

@testset "OutputLength" begin
    @test "1.0" == Ryu.writeshortest(1.0) # already tested in Basic
    @test "1.2" == Ryu.writeshortest(1.2)
    @test "1.23" == Ryu.writeshortest(1.23)
    @test "1.234" == Ryu.writeshortest(1.234)
    @test "1.2345" == Ryu.writeshortest(1.2345)
    @test "1.23456" == Ryu.writeshortest(1.23456)
    @test "1.234567" == Ryu.writeshortest(1.234567)
    @test "1.2345678" == Ryu.writeshortest(1.2345678) # already tested in Regressi
    @test "1.23456789" == Ryu.writeshortest(1.23456789)
    @test "1.234567895" == Ryu.writeshortest(1.234567895) # 1.234567890 would be trimm
    @test "1.2345678901" == Ryu.writeshortest(1.2345678901)
    @test "1.23456789012" == Ryu.writeshortest(1.23456789012)
    @test "1.234567890123" == Ryu.writeshortest(1.234567890123)
    @test "1.2345678901234" == Ryu.writeshortest(1.2345678901234)
    @test "1.23456789012345" == Ryu.writeshortest(1.23456789012345)
    @test "1.234567890123456" == Ryu.writeshortest(1.234567890123456)
    @test "1.2345678901234567" == Ryu.writeshortest(1.2345678901234567)

  # Test 32-bit chunking
    @test "4.294967294" == Ryu.writeshortest(4.294967294) # 2^32 -
    @test "4.294967295" == Ryu.writeshortest(4.294967295) # 2^32 -
    @test "4.294967296" == Ryu.writeshortest(4.294967296) # 2^
    @test "4.294967297" == Ryu.writeshortest(4.294967297) # 2^32 +
    @test "4.294967298" == Ryu.writeshortest(4.294967298) # 2^32 +
end

# Test min, max shift values in shiftright128
@testset "MinMaxShift" begin
    # 32-bit opt-size=0:  49 <= dist <= 50
    # 32-bit opt-size=1:  30 <= dist <= 50
    # 64-bit opt-size=0:  50 <= dist <= 50
    # 64-bit opt-size=1:  30 <= dist <= 50
    @test "1.7800590868057611e-307" == Ryu.writeshortest(todouble(false, 4, 0))
    # 32-bit opt-size=0:  49 <= dist <= 49
    # 32-bit opt-size=1:  28 <= dist <= 49
    # 64-bit opt-size=0:  50 <= dist <= 50
    # 64-bit opt-size=1:  28 <= dist <= 50
    @test "2.8480945388892175e-306" == Ryu.writeshortest(todouble(false, 6, maxMantissa))
    # 32-bit opt-size=0:  52 <= dist <= 53
    # 32-bit opt-size=1:   2 <= dist <= 53
    # 64-bit opt-size=0:  53 <= dist <= 53
    # 64-bit opt-size=1:   2 <= dist <= 53
    @test "2.446494580089078e-296" == Ryu.writeshortest(todouble(false, 41, 0))
    # 32-bit opt-size=0:  52 <= dist <= 52
    # 32-bit opt-size=1:   2 <= dist <= 52
    # 64-bit opt-size=0:  53 <= dist <= 53
    # 64-bit opt-size=1:   2 <= dist <= 53
    @test "4.8929891601781557e-296" == Ryu.writeshortest(todouble(false, 40, maxMantissa))

    # 32-bit opt-size=0:  57 <= dist <= 58
    # 32-bit opt-size=1:  57 <= dist <= 58
    # 64-bit opt-size=0:  58 <= dist <= 58
    # 64-bit opt-size=1:  58 <= dist <= 58
    @test "1.8014398509481984e16" == Ryu.writeshortest(todouble(false, 1077, 0))
    # 32-bit opt-size=0:  57 <= dist <= 57
    # 32-bit opt-size=1:  57 <= dist <= 57
    # 64-bit opt-size=0:  58 <= dist <= 58
    # 64-bit opt-size=1:  58 <= dist <= 58
    @test "3.6028797018963964e16" == Ryu.writeshortest(todouble(false, 1076, maxMantissa))
    # 32-bit opt-size=0:  51 <= dist <= 52
    # 32-bit opt-size=1:  51 <= dist <= 59
    # 64-bit opt-size=0:  52 <= dist <= 52
    # 64-bit opt-size=1:  52 <= dist <= 59
    @test "2.900835519859558e-216" == Ryu.writeshortest(todouble(false, 307, 0))
    # 32-bit opt-size=0:  51 <= dist <= 51
    # 32-bit opt-size=1:  51 <= dist <= 59
    # 64-bit opt-size=0:  52 <= dist <= 52
    # 64-bit opt-size=1:  52 <= dist <= 59
    @test "5.801671039719115e-216" == Ryu.writeshortest(todouble(false, 306, maxMantissa))

    # https:#github.com/ulfjack/ryu/commit/19e44d16d80236f5de25800f56d82606d1be00b9#commitcomment-30146483
    # 32-bit opt-size=0:  49 <= dist <= 49
    # 32-bit opt-size=1:  44 <= dist <= 49
    # 64-bit opt-size=0:  50 <= dist <= 50
    # 64-bit opt-size=1:  44 <= dist <= 50
    @test "3.196104012172126e-27" == Ryu.writeshortest(todouble(false, 934, 0x000FA7161A4D6E0C))
end

@testset "SmallIntegers" begin
    @test "9.007199254740991e15" == Ryu.writeshortest(9007199254740991.0)
    @test "9.007199254740992e15" == Ryu.writeshortest(9007199254740992.0)

    @test "1.0" == Ryu.writeshortest(1.0e+0)
    @test "12.0" == Ryu.writeshortest(1.2e+1)
    @test "123.0" == Ryu.writeshortest(1.23e+2)
    @test "1234.0" == Ryu.writeshortest(1.234e+3)
    @test "12345.0" == Ryu.writeshortest(1.2345e+4)
    @test "123456.0" == Ryu.writeshortest(1.23456e+5)
    @test "1.234567e6" == Ryu.writeshortest(1.234567e+6)
    @test "1.2345678e7" == Ryu.writeshortest(1.2345678e+7)
    @test "1.23456789e8" == Ryu.writeshortest(1.23456789e+8)
    @test "1.23456789e9" == Ryu.writeshortest(1.23456789e+9)
    @test "1.234567895e9" == Ryu.writeshortest(1.234567895e+9)
    @test "1.2345678901e10" == Ryu.writeshortest(1.2345678901e+10)
    @test "1.23456789012e11" == Ryu.writeshortest(1.23456789012e+11)
    @test "1.234567890123e12" == Ryu.writeshortest(1.234567890123e+12)
    @test "1.2345678901234e13" == Ryu.writeshortest(1.2345678901234e+13)
    @test "1.23456789012345e14" == Ryu.writeshortest(1.23456789012345e+14)
    @test "1.234567890123456e15" == Ryu.writeshortest(1.234567890123456e+15)

  # 10^i
    @test "1.0" == Ryu.writeshortest(1.0e+0)
    @test "10.0" == Ryu.writeshortest(1.0e+1)
    @test "100.0" == Ryu.writeshortest(1.0e+2)
    @test "1000.0" == Ryu.writeshortest(1.0e+3)
    @test "10000.0" == Ryu.writeshortest(1.0e+4)
    @test "100000.0" == Ryu.writeshortest(1.0e+5)
    @test "1.0e6" == Ryu.writeshortest(1.0e+6)
    @test "1.0e7" == Ryu.writeshortest(1.0e+7)
    @test "1.0e8" == Ryu.writeshortest(1.0e+8)
    @test "1.0e9" == Ryu.writeshortest(1.0e+9)
    @test "1.0e10" == Ryu.writeshortest(1.0e+10)
    @test "1.0e11" == Ryu.writeshortest(1.0e+11)
    @test "1.0e12" == Ryu.writeshortest(1.0e+12)
    @test "1.0e13" == Ryu.writeshortest(1.0e+13)
    @test "1.0e14" == Ryu.writeshortest(1.0e+14)
    @test "1.0e15" == Ryu.writeshortest(1.0e+15)

  # 10^15 + 10^i
    @test "1.000000000000001e15" == Ryu.writeshortest(1.0e+15 + 1.0e+0)
    @test "1.00000000000001e15" == Ryu.writeshortest(1.0e+15 + 1.0e+1)
    @test "1.0000000000001e15" == Ryu.writeshortest(1.0e+15 + 1.0e+2)
    @test "1.000000000001e15" == Ryu.writeshortest(1.0e+15 + 1.0e+3)
    @test "1.00000000001e15" == Ryu.writeshortest(1.0e+15 + 1.0e+4)
    @test "1.0000000001e15" == Ryu.writeshortest(1.0e+15 + 1.0e+5)
    @test "1.000000001e15" == Ryu.writeshortest(1.0e+15 + 1.0e+6)
    @test "1.00000001e15" == Ryu.writeshortest(1.0e+15 + 1.0e+7)
    @test "1.0000001e15" == Ryu.writeshortest(1.0e+15 + 1.0e+8)
    @test "1.000001e15" == Ryu.writeshortest(1.0e+15 + 1.0e+9)
    @test "1.00001e15" == Ryu.writeshortest(1.0e+15 + 1.0e+10)
    @test "1.0001e15" == Ryu.writeshortest(1.0e+15 + 1.0e+11)
    @test "1.001e15" == Ryu.writeshortest(1.0e+15 + 1.0e+12)
    @test "1.01e15" == Ryu.writeshortest(1.0e+15 + 1.0e+13)
    @test "1.1e15" == Ryu.writeshortest(1.0e+15 + 1.0e+14)

  # Largest power of 2 <= 10^(i+1)
    @test "8.0" == Ryu.writeshortest(8.0)
    @test "64.0" == Ryu.writeshortest(64.0)
    @test "512.0" == Ryu.writeshortest(512.0)
    @test "8192.0" == Ryu.writeshortest(8192.0)
    @test "65536.0" == Ryu.writeshortest(65536.0)
    @test "524288.0" == Ryu.writeshortest(524288.0)
    @test "8.388608e6" == Ryu.writeshortest(8388608.0)
    @test "6.7108864e7" == Ryu.writeshortest(67108864.0)
    @test "5.36870912e8" == Ryu.writeshortest(536870912.0)
    @test "8.589934592e9" == Ryu.writeshortest(8589934592.0)
    @test "6.8719476736e10" == Ryu.writeshortest(68719476736.0)
    @test "5.49755813888e11" == Ryu.writeshortest(549755813888.0)
    @test "8.796093022208e12" == Ryu.writeshortest(8796093022208.0)
    @test "7.0368744177664e13" == Ryu.writeshortest(70368744177664.0)
    @test "5.62949953421312e14" == Ryu.writeshortest(562949953421312.0)
    @test "9.007199254740992e15" == Ryu.writeshortest(9007199254740992.0)

  # 1000 * (Largest power of 2 <= 10^(i+1))
    @test "8000.0" == Ryu.writeshortest(8.0e+3)
    @test "64000.0" == Ryu.writeshortest(64.0e+3)
    @test "512000.0" == Ryu.writeshortest(512.0e+3)
    @test "8.192e6" == Ryu.writeshortest(8192.0e+3)
    @test "6.5536e7" == Ryu.writeshortest(65536.0e+3)
    @test "5.24288e8" == Ryu.writeshortest(524288.0e+3)
    @test "8.388608e9" == Ryu.writeshortest(8388608.0e+3)
    @test "6.7108864e10" == Ryu.writeshortest(67108864.0e+3)
    @test "5.36870912e11" == Ryu.writeshortest(536870912.0e+3)
    @test "8.589934592e12" == Ryu.writeshortest(8589934592.0e+3)
    @test "6.8719476736e13" == Ryu.writeshortest(68719476736.0e+3)
    @test "5.49755813888e14" == Ryu.writeshortest(549755813888.0e+3)
    @test "8.796093022208e15" == Ryu.writeshortest(8796093022208.0e+3)
end

end # Float64

@testset "Float32" begin

@testset "Basic" begin
    @test "0.0" == Ryu.writeshortest(Float32(0.0))
    @test "-0.0" == Ryu.writeshortest(Float32(-0.0))
    @test "1.0" == Ryu.writeshortest(Float32(1.0))
    @test "-1.0" == Ryu.writeshortest(Float32(-1.0))
    @test "NaN" == Ryu.writeshortest(Float32(NaN))
    @test "Inf" == Ryu.writeshortest(Float32(Inf))
    @test "-Inf" == Ryu.writeshortest(Float32(-Inf))
end

@testset "SwitchToSubnormal" begin
    @test "1.1754944e-38" == Ryu.writeshortest(1.1754944f-38)
end

@testset "MinAndMax" begin
    @test "3.4028235e38" == Ryu.writeshortest(Core.bitcast(Float32, 0x7f7fffff))
    @test "1.0e-45" == Ryu.writeshortest(Core.bitcast(Float32, Int32(1)))
end

# Check that we return the exact boundary if it is the shortest
# representation, but only if the original floating point number is even.
@testset "BoundaryRoundeven" begin
    @test "3.355445e7" == Ryu.writeshortest(3.355445f7)
    @test "9.0e9" == Ryu.writeshortest(8.999999f9)
    @test "3.436672e10" == Ryu.writeshortest(3.4366717f10)
end

# If the exact value is exactly halfway between two shortest representations,
# then we round to even. It seems like this only makes a difference if the
# last two digits are ...2|5 or ...7|5, and we cut off the 5.
@testset "exactValueRoundeven" begin
    @test "305404.12" == Ryu.writeshortest(3.0540412f5)
    @test "8099.0312" == Ryu.writeshortest(8.0990312f3)
end

@testset "LotsOfTrailingZeros" begin
    # Pattern for the first test: 00111001100000000000000000000000
    @test "0.00024414062" == Ryu.writeshortest(2.4414062f-4)
    @test "0.0024414062" == Ryu.writeshortest(2.4414062f-3)
    @test "0.0043945312" == Ryu.writeshortest(4.3945312f-3)
    @test "0.0063476562" == Ryu.writeshortest(6.3476562f-3)
end

@testset "Regression" begin
    @test "4.7223665e21" == Ryu.writeshortest(4.7223665f21)
    @test "8.388608e6" == Ryu.writeshortest(8388608f0)
    @test "1.6777216e7" == Ryu.writeshortest(1.6777216f7)
    @test "3.3554436e7" == Ryu.writeshortest(3.3554436f7)
    @test "6.7131496e7" == Ryu.writeshortest(6.7131496f7)
    @test "1.9310392e-38" == Ryu.writeshortest(1.9310392f-38)
    @test "-2.47e-43" == Ryu.writeshortest(-2.47f-43)
    @test "1.993244e-38" == Ryu.writeshortest(1.993244f-38)
    @test "4103.9004" == Ryu.writeshortest(4103.9003f0)
    @test "5.3399997e9" == Ryu.writeshortest(5.3399997f9)
    @test "6.0898e-39" == Ryu.writeshortest(6.0898f-39)
    @test "0.0010310042" == Ryu.writeshortest(0.0010310042f0)
    @test "2.882326e17" == Ryu.writeshortest(2.8823261f17)
    @test "7.038531e-26" == Ryu.writeshortest(7.0385309f-26)
    @test "9.223404e17" == Ryu.writeshortest(9.2234038f17)
    @test "6.710887e7" == Ryu.writeshortest(6.7108872f7)
    @test "1.0e-44" == Ryu.writeshortest(1.0f-44)
    @test "2.816025e14" == Ryu.writeshortest(2.816025f14)
    @test "9.223372e18" == Ryu.writeshortest(9.223372f18)
    @test "1.5846086e29" == Ryu.writeshortest(1.5846085f29)
    @test "1.1811161e19" == Ryu.writeshortest(1.1811161f19)
    @test "5.368709e18" == Ryu.writeshortest(5.368709f18)
    @test "4.6143166e18" == Ryu.writeshortest(4.6143165f18)
    @test "0.007812537" == Ryu.writeshortest(0.007812537f0)
    @test "1.0e-45" == Ryu.writeshortest(1.4f-45)
    @test "1.18697725e20" == Ryu.writeshortest(1.18697724f20)
    @test "1.00014165e-36" == Ryu.writeshortest(1.00014165f-36)
    @test "200.0" == Ryu.writeshortest(200f0)
    @test "3.3554432e7" == Ryu.writeshortest(3.3554432f7)
end

@testset "LooksLikePow5" begin
    # These numbers have a mantissa that is the largest power of 5 that fits,
    # and an exponent that causes the computation for q to result in 10, which is a corner
    # case for Ryu.
    @test "6.7108864e17" == Ryu.writeshortest(Core.bitcast(Float32, 0x5D1502F9))
    @test "1.3421773e18" == Ryu.writeshortest(Core.bitcast(Float32, 0x5D9502F9))
    @test "2.6843546e18" == Ryu.writeshortest(Core.bitcast(Float32, 0x5E1502F9))
end

@testset "OutputLength" begin
    @test "1.0" == Ryu.writeshortest(Float32(1.0))
    @test "1.2" == Ryu.writeshortest(Float32(1.2))
    @test "1.23" == Ryu.writeshortest(Float32(1.23))
    @test "1.234" == Ryu.writeshortest(Float32(1.234))
    @test "1.2345" == Ryu.writeshortest(Float32(1.2345))
    @test "1.23456" == Ryu.writeshortest(Float32(1.23456))
    @test "1.234567" == Ryu.writeshortest(Float32(1.234567))
    @test "1.2345678" == Ryu.writeshortest(Float32(1.2345678))
    @test "1.23456735e-36" == Ryu.writeshortest(Float32(1.23456735e-36))
end

end # Float32

@testset "Float16" begin

@testset "Basic" begin
    @test "0.0" == Ryu.writeshortest(Float16(0.0))
    @test "-0.0" == Ryu.writeshortest(Float16(-0.0))
    @test "1.0" == Ryu.writeshortest(Float16(1.0))
    @test "-1.0" == Ryu.writeshortest(Float16(-1.0))
    @test "NaN" == Ryu.writeshortest(Float16(NaN))
    @test "Inf" == Ryu.writeshortest(Float16(Inf))
    @test "-Inf" == Ryu.writeshortest(Float16(-Inf))
end

let x=floatmin(Float16)
    while x <= floatmax(Float16)
        @test parse(Float16, Ryu.writeshortest(x)) == x
        x = nextfloat(x)
    end
end

# function testfloats(T)
#     x = floatmin(T)
#     i = 0
#     fails = 0
#     success = 0
#     while x < floatmax(T)
#         test = parse(T, Ryu.writeshortest(x)) == x
#         if !test

#             fails += 1
#         else
#             success += 1
#         end
#         x = nextfloat(x)
#         i += 1

#     end
#     return fails / (fails + success)
# end

end # Float16

@testset "Ryu.writefixed" begin
    @testset "Basic" begin
        @test Ryu.writefixed(todouble(false, 1234, 99999), 0) ==
            "3291009114715486435425664845573426149758869524108446525879746560"
    end
    @testset "Zero" begin
        @test Ryu.writefixed(0.0, 4) == "0.0000"
        @test Ryu.writefixed(0.0, 3) == "0.000"
        @test Ryu.writefixed(0.0, 2) == "0.00"
        @test Ryu.writefixed(0.0, 1) == "0.0"
        @test Ryu.writefixed(0.0, 0) == "0"
    end
    @testset "MinMax" begin
        @test Ryu.writefixed(todouble(false, 0, 1), 1074) ==
            "0.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000" *
            "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000" *
            "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000" *
            "000000000000000000000000000000000000000000000000000000049406564584124654417656879286822137" *
            "236505980261432476442558568250067550727020875186529983636163599237979656469544571773092665" *
            "671035593979639877479601078187812630071319031140452784581716784898210368871863605699873072" *
            "305000638740915356498438731247339727316961514003171538539807412623856559117102665855668676" *
            "818703956031062493194527159149245532930545654440112748012970999954193198940908041656332452" *
            "475714786901472678015935523861155013480352649347201937902681071074917033322268447533357208" *
            "324319360923828934583680601060115061698097530783422773183292479049825247307763759272478746" *
            "560847782037344696995336470179726777175851256605511991315048911014510378627381672509558373" *
            "89733598993664809941164205702637090279242767544565229087538682506419718265533447265625"
        @test Ryu.writefixed(todouble(false, 2046, 0xFFFFFFFFFFFFF), 0) ==
            "179769313486231570814527423731704356798070567525844996598917476803157260780028538760589558" *
            "632766878171540458953514382464234321326889464182768467546703537516986049910576551282076245" *
            "490090389328944075868508455133942304583236903222948165808559332123348274797826204144723168" *
            "738177180919299881250404026184124858368"
    end
    @testset "RoundToEven" begin
        @test Ryu.writefixed(0.125, 3) == "0.125"
        @test Ryu.writefixed(0.125, 2) == "0.12"
        @test Ryu.writefixed(0.375, 3) == "0.375"
        @test Ryu.writefixed(0.375, 2) == "0.38"
    end
    @testset "RoundToEvenInteger" begin
        @test Ryu.writefixed(2.5, 1) == "2.5"
        @test Ryu.writefixed(2.5, 0) == "2"
        @test Ryu.writefixed(3.5, 1) == "3.5"
        @test Ryu.writefixed(3.5, 0) == "4"
    end
    @testset "NonRoundToEvenScenarios" begin
        @test Ryu.writefixed(0.748046875, 3) == "0.748"
        @test Ryu.writefixed(0.748046875, 2) == "0.75"
        @test Ryu.writefixed(0.748046875, 1) == "0.7"

        @test Ryu.writefixed(0.2509765625, 3) == "0.251"
        @test Ryu.writefixed(0.2509765625, 2) == "0.25"
        @test Ryu.writefixed(0.2509765625, 1) == "0.3"

        @test Ryu.writefixed(todouble(false, 1021, 1), 54) == "0.250000000000000055511151231257827021181583404541015625"
        @test Ryu.writefixed(todouble(false, 1021, 1),  3) == "0.250"
        @test Ryu.writefixed(todouble(false, 1021, 1),  2) == "0.25"
        @test Ryu.writefixed(todouble(false, 1021, 1),  1) == "0.3"
    end
    @testset "VaryingPrecision" begin
        @test Ryu.writefixed(1729.142857142857, 47) == "1729.14285714285711037518922239542007446289062500000"
        @test Ryu.writefixed(1729.142857142857, 46) == "1729.1428571428571103751892223954200744628906250000"
        @test Ryu.writefixed(1729.142857142857, 45) == "1729.142857142857110375189222395420074462890625000"
        @test Ryu.writefixed(1729.142857142857, 44) == "1729.14285714285711037518922239542007446289062500"
        @test Ryu.writefixed(1729.142857142857, 43) == "1729.1428571428571103751892223954200744628906250"
        @test Ryu.writefixed(1729.142857142857, 42) == "1729.142857142857110375189222395420074462890625"
        @test Ryu.writefixed(1729.142857142857, 41) == "1729.14285714285711037518922239542007446289062"
        @test Ryu.writefixed(1729.142857142857, 40) == "1729.1428571428571103751892223954200744628906"
        @test Ryu.writefixed(1729.142857142857, 39) == "1729.142857142857110375189222395420074462891"
        @test Ryu.writefixed(1729.142857142857, 38) == "1729.14285714285711037518922239542007446289"
        @test Ryu.writefixed(1729.142857142857, 37) == "1729.1428571428571103751892223954200744629"
        @test Ryu.writefixed(1729.142857142857, 36) == "1729.142857142857110375189222395420074463"
        @test Ryu.writefixed(1729.142857142857, 35) == "1729.14285714285711037518922239542007446"
        @test Ryu.writefixed(1729.142857142857, 34) == "1729.1428571428571103751892223954200745"
        @test Ryu.writefixed(1729.142857142857, 33) == "1729.142857142857110375189222395420074"
        @test Ryu.writefixed(1729.142857142857, 32) == "1729.14285714285711037518922239542007"
        @test Ryu.writefixed(1729.142857142857, 31) == "1729.1428571428571103751892223954201"
        @test Ryu.writefixed(1729.142857142857, 30) == "1729.142857142857110375189222395420"
        @test Ryu.writefixed(1729.142857142857, 29) == "1729.14285714285711037518922239542"
        @test Ryu.writefixed(1729.142857142857, 28) == "1729.1428571428571103751892223954"
        @test Ryu.writefixed(1729.142857142857, 27) == "1729.142857142857110375189222395"
        @test Ryu.writefixed(1729.142857142857, 26) == "1729.14285714285711037518922240"
        @test Ryu.writefixed(1729.142857142857, 25) == "1729.1428571428571103751892224"
        @test Ryu.writefixed(1729.142857142857, 24) == "1729.142857142857110375189222"
        @test Ryu.writefixed(1729.142857142857, 23) == "1729.14285714285711037518922"
        @test Ryu.writefixed(1729.142857142857, 22) == "1729.1428571428571103751892"
        @test Ryu.writefixed(1729.142857142857, 21) == "1729.142857142857110375189"
        @test Ryu.writefixed(1729.142857142857, 20) == "1729.14285714285711037519"
        @test Ryu.writefixed(1729.142857142857, 19) == "1729.1428571428571103752"
        @test Ryu.writefixed(1729.142857142857, 18) == "1729.142857142857110375"
        @test Ryu.writefixed(1729.142857142857, 17) == "1729.14285714285711038"
        @test Ryu.writefixed(1729.142857142857, 16) == "1729.1428571428571104"
        @test Ryu.writefixed(1729.142857142857, 15) == "1729.142857142857110"
        @test Ryu.writefixed(1729.142857142857, 14) == "1729.14285714285711"
        @test Ryu.writefixed(1729.142857142857, 13) == "1729.1428571428571"
        @test Ryu.writefixed(1729.142857142857, 12) == "1729.142857142857"
        @test Ryu.writefixed(1729.142857142857, 11) == "1729.14285714286"
        @test Ryu.writefixed(1729.142857142857, 10) == "1729.1428571429"
        @test Ryu.writefixed(1729.142857142857,  9) == "1729.142857143"
        @test Ryu.writefixed(1729.142857142857,  8) == "1729.14285714"
        @test Ryu.writefixed(1729.142857142857,  7) == "1729.1428571"
        @test Ryu.writefixed(1729.142857142857,  6) == "1729.142857"
        @test Ryu.writefixed(1729.142857142857,  5) == "1729.14286"
        @test Ryu.writefixed(1729.142857142857,  4) == "1729.1429"
        @test Ryu.writefixed(1729.142857142857,  3) == "1729.143"
        @test Ryu.writefixed(1729.142857142857,  2) == "1729.14"
        @test Ryu.writefixed(1729.142857142857,  1) == "1729.1"
        @test Ryu.writefixed(1729.142857142857,  0) == "1729"
    end

    @testset "Carrying" begin
        @test Ryu.writefixed(  0.0009, 4) == "0.0009"
        @test Ryu.writefixed(  0.0009, 3) == "0.001"
        @test Ryu.writefixed(  0.0029, 4) == "0.0029"
        @test Ryu.writefixed(  0.0029, 3) == "0.003"
        @test Ryu.writefixed(  0.0099, 4) == "0.0099"
        @test Ryu.writefixed(  0.0099, 3) == "0.010"
        @test Ryu.writefixed(  0.0299, 4) == "0.0299"
        @test Ryu.writefixed(  0.0299, 3) == "0.030"
        @test Ryu.writefixed(  0.0999, 4) == "0.0999"
        @test Ryu.writefixed(  0.0999, 3) == "0.100"
        @test Ryu.writefixed(  0.2999, 4) == "0.2999"
        @test Ryu.writefixed(  0.2999, 3) == "0.300"
        @test Ryu.writefixed(  0.9999, 4) == "0.9999"
        @test Ryu.writefixed(  0.9999, 3) == "1.000"
        @test Ryu.writefixed(  2.9999, 4) == "2.9999"
        @test Ryu.writefixed(  2.9999, 3) == "3.000"
        @test Ryu.writefixed(  9.9999, 4) == "9.9999"
        @test Ryu.writefixed(  9.9999, 3) == "10.000"
        @test Ryu.writefixed( 29.9999, 4) == "29.9999"
        @test Ryu.writefixed( 29.9999, 3) == "30.000"
        @test Ryu.writefixed( 99.9999, 4) == "99.9999"
        @test Ryu.writefixed( 99.9999, 3) == "100.000"
        @test Ryu.writefixed(299.9999, 4) == "299.9999"
        @test Ryu.writefixed(299.9999, 3) == "300.000"

        @test Ryu.writefixed(  0.09, 2) == "0.09"
        @test Ryu.writefixed(  0.09, 1) == "0.1"
        @test Ryu.writefixed(  0.29, 2) == "0.29"
        @test Ryu.writefixed(  0.29, 1) == "0.3"
        @test Ryu.writefixed(  0.99, 2) == "0.99"
        @test Ryu.writefixed(  0.99, 1) == "1.0"
        @test Ryu.writefixed(  2.99, 2) == "2.99"
        @test Ryu.writefixed(  2.99, 1) == "3.0"
        @test Ryu.writefixed(  9.99, 2) == "9.99"
        @test Ryu.writefixed(  9.99, 1) == "10.0"
        @test Ryu.writefixed( 29.99, 2) == "29.99"
        @test Ryu.writefixed( 29.99, 1) == "30.0"
        @test Ryu.writefixed( 99.99, 2) == "99.99"
        @test Ryu.writefixed( 99.99, 1) == "100.0"
        @test Ryu.writefixed(299.99, 2) == "299.99"
        @test Ryu.writefixed(299.99, 1) == "300.0"

        @test Ryu.writefixed(  0.9, 1) == "0.9"
        @test Ryu.writefixed(  0.9, 0) == "1"
        @test Ryu.writefixed(  2.9, 1) == "2.9"
        @test Ryu.writefixed(  2.9, 0) == "3"
        @test Ryu.writefixed(  9.9, 1) == "9.9"
        @test Ryu.writefixed(  9.9, 0) == "10"
        @test Ryu.writefixed( 29.9, 1) == "29.9"
        @test Ryu.writefixed( 29.9, 0) == "30"
        @test Ryu.writefixed( 99.9, 1) == "99.9"
        @test Ryu.writefixed( 99.9, 0) == "100"
        @test Ryu.writefixed(299.9, 1) == "299.9"
        @test Ryu.writefixed(299.9, 0) == "300"
    end

    @testset "RoundingResultZero" begin
        @test Ryu.writefixed(0.004, 3) == "0.004"
        @test Ryu.writefixed(0.004, 2) == "0.00"
        @test Ryu.writefixed(0.4, 1) == "0.4"
        @test Ryu.writefixed(0.4, 0) == "0"
        @test Ryu.writefixed(0.5, 1) == "0.5"
        @test Ryu.writefixed(0.5, 0) == "0"
    end

    @testset "Regression" begin
        @test Ryu.writefixed(7.018232e-82, 6) == "0.000000"
    end

    @testset "Trimming of trailing zeros" begin
        @test Ryu.writefixed(0.0, 1, false, false, false, UInt8('.'), true) == "0"
        @test Ryu.writefixed(1.0, 1, false, false, false, UInt8('.'), true) == "1"
        @test Ryu.writefixed(2.0, 1, false, false, false, UInt8('.'), true) == "2"

        @test Ryu.writefixed(1.25e+5, 0, false, false, false, UInt8('.'), true) == "125000"
        @test Ryu.writefixed(1.25e+5, 1, false, false, false, UInt8('.'), true) == "125000"
        @test Ryu.writefixed(1.25e+5, 2, false, false, false, UInt8('.'), true) == "125000"
    end

    @test Ryu.writefixed(100.0-eps(100.0), 0, false, false, true, UInt8('.'), false) == "100."
    @test Ryu.writefixed(-100.0+eps(-100.0), 0, false, false, true, UInt8('.'), false) == "-100."
    @test Ryu.writefixed(100.0-eps(100.0), 1, false, false, true, UInt8('.'), false) == "100.0"
    @test Ryu.writefixed(-100.0+eps(-100.0), 1, false, false, true, UInt8('.'), false) == "-100.0"
end # fixed

@testset "Ryu.writeexp" begin

@testset "Basic" begin
    @test Ryu.writeexp(todouble(false, 1234, 99999), 62) ==
    "3.29100911471548643542566484557342614975886952410844652587974656e+63"
end

@testset "Zero" begin
    @test Ryu.writeexp(0.0, 4) == "0.0000e+00"
    @test Ryu.writeexp(0.0, 3) == "0.000e+00"
    @test Ryu.writeexp(0.0, 2) == "0.00e+00"
    @test Ryu.writeexp(0.0, 1) == "0.0e+00"
    @test Ryu.writeexp(0.0, 0) == "0e+00"
end

@testset "MinMax" begin
    @test Ryu.writeexp(todouble(false, 0, 1), 750) ==
    "4.9406564584124654417656879286822137236505980261432476442558568250067550727020875186529983" *
    "636163599237979656469544571773092665671035593979639877479601078187812630071319031140452784" *
    "581716784898210368871863605699873072305000638740915356498438731247339727316961514003171538" *
    "539807412623856559117102665855668676818703956031062493194527159149245532930545654440112748" *
    "012970999954193198940908041656332452475714786901472678015935523861155013480352649347201937" *
    "902681071074917033322268447533357208324319360923828934583680601060115061698097530783422773" *
    "183292479049825247307763759272478746560847782037344696995336470179726777175851256605511991" *
    "315048911014510378627381672509558373897335989936648099411642057026370902792427675445652290" *
    "87538682506419718265533447265625e-324"

    @test Ryu.writeexp(todouble(false, 2046, 0xFFFFFFFFFFFFF), 308) ==
    "1.7976931348623157081452742373170435679807056752584499659891747680315726078002853876058955" *
    "863276687817154045895351438246423432132688946418276846754670353751698604991057655128207624" *
    "549009038932894407586850845513394230458323690322294816580855933212334827479782620414472316" *
    "8738177180919299881250404026184124858368e+308"
end

@testset "RoundToEven" begin
    @test Ryu.writeexp(0.125, 2) == "1.25e-01"
    @test Ryu.writeexp(0.125, 1) == "1.2e-01"
    @test Ryu.writeexp(0.375, 2) == "3.75e-01"
    @test Ryu.writeexp(0.375, 1) == "3.8e-01"
end

@testset "RoundToEvenInteger" begin
    @test Ryu.writeexp(2.5, 1) == "2.5e+00"
    @test Ryu.writeexp(2.5, 0) == "2e+00"
    @test Ryu.writeexp(3.5, 1) == "3.5e+00"
    @test Ryu.writeexp(3.5, 0) == "4e+00"
end

@testset "NonRoundToEvenScenarios" begin
    @test Ryu.writeexp(0.748046875, 2) == "7.48e-01"
    @test Ryu.writeexp(0.748046875, 1) == "7.5e-01"
    @test Ryu.writeexp(0.748046875, 0) == "7e-01"    # 0.75 would round to "8e-01", but this is smaller

    @test Ryu.writeexp(0.2509765625, 2) == "2.51e-01"
    @test Ryu.writeexp(0.2509765625, 1) == "2.5e-01"
    @test Ryu.writeexp(0.2509765625, 0) == "3e-01"    # 0.25 would round to "2e-01", but this is larger

    @test Ryu.writeexp(todouble(false, 1021, 1), 53) ==
    "2.50000000000000055511151231257827021181583404541015625e-01"
    @test Ryu.writeexp(todouble(false, 1021, 1),  2) ==
    "2.50e-01"
    @test Ryu.writeexp(todouble(false, 1021, 1),  1) ==
    "2.5e-01"
    @test Ryu.writeexp(todouble(false, 1021, 1),  0) ==
    "3e-01"    # 0.25 would round to "2e-01", but this is larger (again)
end

@testset "VaryingPrecision" begin
    @test Ryu.writeexp(1729.142857142857, 50) == "1.72914285714285711037518922239542007446289062500000e+03"
    @test Ryu.writeexp(1729.142857142857, 49) == "1.7291428571428571103751892223954200744628906250000e+03"
    @test Ryu.writeexp(1729.142857142857, 48) == "1.729142857142857110375189222395420074462890625000e+03"
    @test Ryu.writeexp(1729.142857142857, 47) == "1.72914285714285711037518922239542007446289062500e+03"
    @test Ryu.writeexp(1729.142857142857, 46) == "1.7291428571428571103751892223954200744628906250e+03"
    @test Ryu.writeexp(1729.142857142857, 45) == "1.729142857142857110375189222395420074462890625e+03"
    @test Ryu.writeexp(1729.142857142857, 44) == "1.72914285714285711037518922239542007446289062e+03"
    @test Ryu.writeexp(1729.142857142857, 43) == "1.7291428571428571103751892223954200744628906e+03"
    @test Ryu.writeexp(1729.142857142857, 42) == "1.729142857142857110375189222395420074462891e+03"
    @test Ryu.writeexp(1729.142857142857, 41) == "1.72914285714285711037518922239542007446289e+03"
    @test Ryu.writeexp(1729.142857142857, 40) == "1.7291428571428571103751892223954200744629e+03"
    @test Ryu.writeexp(1729.142857142857, 39) == "1.729142857142857110375189222395420074463e+03"
    @test Ryu.writeexp(1729.142857142857, 38) == "1.72914285714285711037518922239542007446e+03"
    @test Ryu.writeexp(1729.142857142857, 37) == "1.7291428571428571103751892223954200745e+03"
    @test Ryu.writeexp(1729.142857142857, 36) == "1.729142857142857110375189222395420074e+03"
    @test Ryu.writeexp(1729.142857142857, 35) == "1.72914285714285711037518922239542007e+03"
    @test Ryu.writeexp(1729.142857142857, 34) == "1.7291428571428571103751892223954201e+03"
    @test Ryu.writeexp(1729.142857142857, 33) == "1.729142857142857110375189222395420e+03"
    @test Ryu.writeexp(1729.142857142857, 32) == "1.72914285714285711037518922239542e+03"
    @test Ryu.writeexp(1729.142857142857, 31) == "1.7291428571428571103751892223954e+03"
    @test Ryu.writeexp(1729.142857142857, 30) == "1.729142857142857110375189222395e+03"
    @test Ryu.writeexp(1729.142857142857, 29) == "1.72914285714285711037518922240e+03"
    @test Ryu.writeexp(1729.142857142857, 28) == "1.7291428571428571103751892224e+03"
    @test Ryu.writeexp(1729.142857142857, 27) == "1.729142857142857110375189222e+03"
    @test Ryu.writeexp(1729.142857142857, 26) == "1.72914285714285711037518922e+03"
    @test Ryu.writeexp(1729.142857142857, 25) == "1.7291428571428571103751892e+03"
    @test Ryu.writeexp(1729.142857142857, 24) == "1.729142857142857110375189e+03"
    @test Ryu.writeexp(1729.142857142857, 23) == "1.72914285714285711037519e+03"
    @test Ryu.writeexp(1729.142857142857, 22) == "1.7291428571428571103752e+03"
    @test Ryu.writeexp(1729.142857142857, 21) == "1.729142857142857110375e+03"
    @test Ryu.writeexp(1729.142857142857, 20) == "1.72914285714285711038e+03"
    @test Ryu.writeexp(1729.142857142857, 19) == "1.7291428571428571104e+03"
    @test Ryu.writeexp(1729.142857142857, 18) == "1.729142857142857110e+03"
    @test Ryu.writeexp(1729.142857142857, 17) == "1.72914285714285711e+03"
    @test Ryu.writeexp(1729.142857142857, 16) == "1.7291428571428571e+03"
    @test Ryu.writeexp(1729.142857142857, 15) == "1.729142857142857e+03"
    @test Ryu.writeexp(1729.142857142857, 14) == "1.72914285714286e+03"
    @test Ryu.writeexp(1729.142857142857, 13) == "1.7291428571429e+03"
    @test Ryu.writeexp(1729.142857142857, 12) == "1.729142857143e+03"
    @test Ryu.writeexp(1729.142857142857, 11) == "1.72914285714e+03"
    @test Ryu.writeexp(1729.142857142857, 10) == "1.7291428571e+03"
    @test Ryu.writeexp(1729.142857142857,  9) == "1.729142857e+03"
    @test Ryu.writeexp(1729.142857142857,  8) == "1.72914286e+03"
    @test Ryu.writeexp(1729.142857142857,  7) == "1.7291429e+03"
    @test Ryu.writeexp(1729.142857142857,  6) == "1.729143e+03"
    @test Ryu.writeexp(1729.142857142857,  5) == "1.72914e+03"
    @test Ryu.writeexp(1729.142857142857,  4) == "1.7291e+03"
    @test Ryu.writeexp(1729.142857142857,  3) == "1.729e+03"
    @test Ryu.writeexp(1729.142857142857,  2) == "1.73e+03"
    @test Ryu.writeexp(1729.142857142857,  1) == "1.7e+03"
    @test Ryu.writeexp(1729.142857142857,  0) == "2e+03"
end

@testset "Carrying" begin
    @test Ryu.writeexp(2.0009, 4) == "2.0009e+00"
    @test Ryu.writeexp(2.0009, 3) == "2.001e+00"
    @test Ryu.writeexp(2.0029, 4) == "2.0029e+00"
    @test Ryu.writeexp(2.0029, 3) == "2.003e+00"
    @test Ryu.writeexp(2.0099, 4) == "2.0099e+00"
    @test Ryu.writeexp(2.0099, 3) == "2.010e+00"
    @test Ryu.writeexp(2.0299, 4) == "2.0299e+00"
    @test Ryu.writeexp(2.0299, 3) == "2.030e+00"
    @test Ryu.writeexp(2.0999, 4) == "2.0999e+00"
    @test Ryu.writeexp(2.0999, 3) == "2.100e+00"
    @test Ryu.writeexp(2.2999, 4) == "2.2999e+00"
    @test Ryu.writeexp(2.2999, 3) == "2.300e+00"
    @test Ryu.writeexp(2.9999, 4) == "2.9999e+00"
    @test Ryu.writeexp(2.9999, 3) == "3.000e+00"
    @test Ryu.writeexp(9.9999, 4) == "9.9999e+00"
    @test Ryu.writeexp(9.9999, 3) == "1.000e+01"

    @test Ryu.writeexp(2.09, 2) == "2.09e+00"
    @test Ryu.writeexp(2.09, 1) == "2.1e+00"
    @test Ryu.writeexp(2.29, 2) == "2.29e+00"
    @test Ryu.writeexp(2.29, 1) == "2.3e+00"
    @test Ryu.writeexp(2.99, 2) == "2.99e+00"
    @test Ryu.writeexp(2.99, 1) == "3.0e+00"
    @test Ryu.writeexp(9.99, 2) == "9.99e+00"
    @test Ryu.writeexp(9.99, 1) == "1.0e+01"

    @test Ryu.writeexp(2.9, 1) == "2.9e+00"
    @test Ryu.writeexp(2.9, 0) == "3e+00"
    @test Ryu.writeexp(9.9, 1) == "9.9e+00"
    @test Ryu.writeexp(9.9, 0) == "1e+01"
end

@testset "Exponents" begin
    @test Ryu.writeexp(9.99e-100, 2) == "9.99e-100"
    @test Ryu.writeexp(9.99e-99 , 2) == "9.99e-99"
    @test Ryu.writeexp(9.99e-10 , 2) == "9.99e-10"
    @test Ryu.writeexp(9.99e-09 , 2) == "9.99e-09"
    @test Ryu.writeexp(9.99e-01 , 2) == "9.99e-01"
    @test Ryu.writeexp(9.99e+00 , 2) == "9.99e+00"
    @test Ryu.writeexp(9.99e+01 , 2) == "9.99e+01"
    @test Ryu.writeexp(9.99e+09 , 2) == "9.99e+09"
    @test Ryu.writeexp(9.99e+10 , 2) == "9.99e+10"
    @test Ryu.writeexp(9.99e+99 , 2) == "9.99e+99"
    @test Ryu.writeexp(9.99e+100, 2) == "9.99e+100"

    @test Ryu.writeexp(9.99e-100, 1) == "1.0e-99"
    @test Ryu.writeexp(9.99e-99 , 1) == "1.0e-98"
    @test Ryu.writeexp(9.99e-10 , 1) == "1.0e-09"
    @test Ryu.writeexp(9.99e-09 , 1) == "1.0e-08"
    @test Ryu.writeexp(9.99e-01 , 1) == "1.0e+00"
    @test Ryu.writeexp(9.99e+00 , 1) == "1.0e+01"
    @test Ryu.writeexp(9.99e+01 , 1) == "1.0e+02"
    @test Ryu.writeexp(9.99e+09 , 1) == "1.0e+10"
    @test Ryu.writeexp(9.99e+10 , 1) == "1.0e+11"
    @test Ryu.writeexp(9.99e+99 , 1) == "1.0e+100"
    @test Ryu.writeexp(9.99e+100, 1) == "1.0e+101"
end

@testset "PrintDecimalPoint" begin
  # These values exercise each codepath.
    @test Ryu.writeexp(1e+54, 0) == "1e+54"
    @test Ryu.writeexp(1e+54, 1) == "1.0e+54"
    @test Ryu.writeexp(1e-63, 0) == "1e-63"
    @test Ryu.writeexp(1e-63, 1) == "1.0e-63"
    @test Ryu.writeexp(1e+83, 0) == "1e+83"
    @test Ryu.writeexp(1e+83, 1) == "1.0e+83"
end

@testset "Consistency of trimtrailingzeros" begin
    @test Ryu.writeexp(0.0, 1, false, false, false, UInt8('e'), UInt8('.'), true) == "0e+00"
    @test Ryu.writeexp(1.0, 1, false, false, false, UInt8('e'), UInt8('.'), true) == "1e+00"
    @test Ryu.writeexp(2.0, 1, false, false, false, UInt8('e'), UInt8('.'), true) == "2e+00"
end

end # exp

@testset "compact" begin

    stringcompact(x) = sprint(show, x; context=:compact => true)

    @test stringcompact(0.49999999) == "0.5"
    @test stringcompact(0.459999999) == "0.46"
    @test stringcompact(0.20058603493384108) == "0.200586"
    @test stringcompact(0.9999999) == "1.0"
    @test stringcompact(0.1999999) == "0.2"
    @test stringcompact(123.4567) == "123.457"
    @test stringcompact(0.001234567) == "0.00123457"
    @test stringcompact(0.1234567) == "0.123457"
    @test stringcompact(1234567.0) == "1.23457e6"
    @test stringcompact(12345678910.0) == "1.23457e10"
    @test stringcompact(12345678.0) == "1.23457e7"
    @test stringcompact(0.10000049) == "0.1"
    @test stringcompact(22.89825) == "22.8983"
    @test stringcompact(0.646690981531646) == "0.646691"
    @test stringcompact(6.938893903907228e-17) == "6.93889e-17"
    @test stringcompact(1.015625) == "1.01562"
    @test stringcompact(1.046875) == "1.04688"
    @test stringcompact(0.025621074) == "0.0256211"

    # subnormals
    @test stringcompact(eps(0.0)) == "5.0e-324"
    @test stringcompact(eps(0f0)) == "1.0f-45"
    @test stringcompact(eps(Float16(0.0))) == "6.0e-8"
end

end # Ryu
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