From 514bf8aac4003e814af0bccfddc99411662b7062 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Denis=20Baru=C4=8Di=C4=87?= Date: Sun, 3 Nov 2024 22:37:10 +0100 Subject: [PATCH] Divide: implementation + dectest Fixes #56 We now have: ```julia julia> Decimal(10)^30 / Decimal(2)^100 0.7888609052210118054117285655 ``` In Python: ``` >>> Decimal(10)**30 / Decimal(2)**100 Decimal('0.7888609052210118054117285655') ``` --- scripts/dectest.jl | 8 + src/Decimals.jl | 4 +- src/arithmetic.jl | 99 +++- test/dectests/test_divide.jl | 1061 ++++++++++++++++++++++++++++++++++ test/runtests.jl | 21 +- test/test_arithmetic.jl | 76 ++- 6 files changed, 1243 insertions(+), 26 deletions(-) create mode 100644 test/dectests/test_divide.jl diff --git a/scripts/dectest.jl b/scripts/dectest.jl index 51a8daf..83c5e16 100644 --- a/scripts/dectest.jl +++ b/scripts/dectest.jl @@ -108,6 +108,14 @@ function print_test(io, test, directives) print(io, "@test_throws OverflowError ") print_operation(io, test.operation, test.operands) println(io) + elseif :division_undefined ∈ test.conditions + print(io, "@test_throws UndefinedDivisionError ") + print_operation(io, test.operation, test.operands) + println(io) + elseif :division_by_zero ∈ test.conditions + print(io, "@test_throws DivisionByZeroError ") + print_operation(io, test.operation, test.operands) + println(io) else print(io, "@test ") print_operation(io, test.operation, test.operands) diff --git a/src/Decimals.jl b/src/Decimals.jl index 7e8ab6c..bc70dce 100644 --- a/src/Decimals.jl +++ b/src/Decimals.jl @@ -7,7 +7,9 @@ module Decimals export Decimal, number, normalize, - @dec_str + @dec_str, + DivisionByZeroError, + UndefinedDivisionError const DIGITS = 20 diff --git a/src/arithmetic.jl b/src/arithmetic.jl index be60875..28de52c 100644 --- a/src/arithmetic.jl +++ b/src/arithmetic.jl @@ -4,6 +4,20 @@ Base.promote_rule(::Type{Decimal}, ::Type{<:Real}) = Decimal Base.promote_rule(::Type{BigFloat}, ::Type{Decimal}) = Decimal Base.promote_rule(::Type{BigInt}, ::Type{Decimal}) = Decimal +""" + DivisionByZeroError + +Division was attempted with a denominator value of 0. +""" +struct DivisionByZeroError <: Exception end + +""" + UndefinedDivisionError + +Division was attempted with both numerator and denominator value of 0. +""" +struct UndefinedDivisionError <: Exception end + Base.:(+)(x::Decimal) = fix(x) Base.:(-)(x::Decimal) = fix(Decimal(!x.s, x.c, x.q)) @@ -121,15 +135,86 @@ function Base.:(*)(x::Decimal, y::Decimal) return fix(Decimal(s, x.c * y.c, x.q + y.q)) end -# Inversion -function Base.inv(x::Decimal) - c = round(BigInt, BigInt(10)^(-x.q + DIGITS) / x.c) # the decimal point of 1/x.c is shifted by -x.q so that the integer part of the result is correct and then it is shifted further by DIGITS to also cover some digits from the fractional part. - q = -DIGITS # we only need to remember that there are these digits after the decimal point - normalize(Decimal(x.s, c, q)) +function Base.:(/)(x::Decimal, y::Decimal) + if iszero(y) + if iszero(x) + throw(UndefinedDivisionError()) + else + throw(DivisionByZeroError()) + end + end + + s = x.s != y.s + + # 0 / y, where y ≠ 0 + if iszero(x) + return Decimal(s, BigZero, x.q - y.q) + end + + prec = precision(Decimal) + + # We are computing + # + # (x.c * 10^x.q) / (y.c * 10^y.q) + # = (x.c / y.c) * 10^(x.q - y.q). + # + # The coefficient `x.c / y.c` is not an integer in general. + # We could just compute the division, resulting in a BigFloat, and round + # the result. However, we would have to use `setprecision` to ensure the + # BigFloat has enough precision. To avoid that, we compute the division + # with a sufficient precision ourselves. + # + # We write the division as + # + # (x.c / y.c) * 10^(x.q - y.q) * 10^(d - d) + # = ((x.c * 10^d) / y.c) * 10^(x.q - y.q - d) (P1) + # = (x.c / (y.c * 10^(-d))) * 10^(x.q - y.q - d), (P2) + # + # where `d` is any integer, which we use to increase the dividend `x.c` (if + # `d ≥ 0`) or the divisor `y.c` (if `d < 0`) before performing integer + # division so that the result has required precision. + # + # Assume that `x.c * 10^d` has `m + d` digits and `y.c` has `n` digits, + # which means + # + # 10^(m + d - 1) ≤ x < 10^(m + d) + # 10^(n - 1) ≤ y < 10^n. + # + # We can thus bound the quotient `(x.c * 10^d) / y.c`: + # + # 10^(m + d - 1) / 10^n < x/y < 10^(m + d) / 10^(n - 1) + # 10^(m + d - n - 1) < x/y < 10^(m + d - n + 1) + # + # We set `d` so that the lower-bound has `prec + 1` digits (i.e., it is + # equal to `10^prec`): + # + # 10^(m + d - n - 1) = 10^prec + # d = prec - m + n + 1 + # + # If the lower-bound has `prec + 1` digits, it means that any quotient has + # at least that amount of digits. We need `prec + 1` (instead of `prec`) + # digits because the least-significant digit is needed for correct + # rounding (done by the `fix` function). + + d = prec - ndigits(x.c) + ndigits(y.c) + 1 + q = x.q - y.q - d + + if d > 0 + # If `d` is positive, we take the path denoted (P1) + c = div(x.c * BigTen^d, y.c) + elseif d < 0 + # If `d` is negative, we take the path denoted (P2) + c = div(x.c, y.c * BigTen^(-d)) + else + c = div(x.c, y.c) + end + + return fix(Decimal(s, c, q)) end -# Division -Base.:(/)(x::Decimal, y::Decimal) = x * inv(y) +function Base.inv(x::Decimal) + return Decimal(false, BigOne, 0) / x +end Base.abs(x::Decimal) = fix(Decimal(false, x.c, x.q)) diff --git a/test/dectests/test_divide.jl b/test/dectests/test_divide.jl new file mode 100644 index 0000000..370caf1 --- /dev/null +++ b/test/dectests/test_divide.jl @@ -0,0 +1,1061 @@ +using Decimals +using ScopedValues +using Test +using Decimals: @with_context + +@testset "Divide" begin + # divx001 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"1" / dec"1" == dec"1" + # divx002 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"2" / dec"1" == dec"2" + # divx003 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"1" / dec"2" == dec"0.5" + # divx004 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"2" / dec"2" == dec"1" + # divx005 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"0" / dec"1" == dec"0" + # divx006 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"0" / dec"2" == dec"0" + # divx007 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"1" / dec"3" == dec"0.333333333" + # divx008 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"2" / dec"3" == dec"0.666666667" + # divx009 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"3" / dec"3" == dec"1" + # divx010 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"2.4" / dec"1" == dec"2.4" + # divx011 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"2.4" / dec"-1" == dec"-2.4" + # divx012 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"-2.4" / dec"1" == dec"-2.4" + # divx013 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"-2.4" / dec"-1" == dec"2.4" + # divx014 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"2.40" / dec"1" == dec"2.40" + # divx015 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"2.400" / dec"1" == dec"2.400" + # divx016 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"2.4" / dec"2" == dec"1.2" + # divx017 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"2.400" / dec"2" == dec"1.200" + # divx018 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"2." / dec"2" == dec"1" + # divx019 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"20" / dec"20" == dec"1" + # divx020 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"187" / dec"187" == dec"1" + # divx021 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"5" / dec"2" == dec"2.5" + # divx022 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"50" / dec"20" == dec"2.5" + # divx023 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"500" / dec"200" == dec"2.5" + # divx024 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"50.0" / dec"20.0" == dec"2.5" + # divx025 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"5.00" / dec"2.00" == dec"2.5" + # divx026 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"5" / dec"2.0" == dec"2.5" + # divx027 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"5" / dec"2.000" == dec"2.5" + # divx028 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"5" / dec"0.20" == dec"25" + # divx029 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"5" / dec"0.200" == dec"25" + # divx030 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"10" / dec"1" == dec"10" + # divx031 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"100" / dec"1" == dec"100" + # divx032 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"1000" / dec"1" == dec"1000" + # divx033 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"1000" / dec"100" == dec"10" + # divx035 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"1" / dec"2" == dec"0.5" + # divx036 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"1" / dec"4" == dec"0.25" + # divx037 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"1" / dec"8" == dec"0.125" + # divx038 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"1" / dec"16" == dec"0.0625" + # divx039 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"1" / dec"32" == dec"0.03125" + # divx040 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"1" / dec"64" == dec"0.015625" + # divx041 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"1" / dec"-2" == dec"-0.5" + # divx042 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"1" / dec"-4" == dec"-0.25" + # divx043 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"1" / dec"-8" == dec"-0.125" + # divx044 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"1" / dec"-16" == dec"-0.0625" + # divx045 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"1" / dec"-32" == dec"-0.03125" + # divx046 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"1" / dec"-64" == dec"-0.015625" + # divx047 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"-1" / dec"2" == dec"-0.5" + # divx048 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"-1" / dec"4" == dec"-0.25" + # divx049 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"-1" / dec"8" == dec"-0.125" + # divx050 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"-1" / dec"16" == dec"-0.0625" + # divx051 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"-1" / dec"32" == dec"-0.03125" + # divx052 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"-1" / dec"64" == dec"-0.015625" + # divx053 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"-1" / dec"-2" == dec"0.5" + # divx054 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"-1" / dec"-4" == dec"0.25" + # divx055 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"-1" / dec"-8" == dec"0.125" + # divx056 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"-1" / dec"-16" == dec"0.0625" + # divx057 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"-1" / dec"-32" == dec"0.03125" + # divx058 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"-1" / dec"-64" == dec"0.015625" + # divx070 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"999999999" / dec"1" == dec"999999999" + # divx071 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"999999999.4" / dec"1" == dec"999999999" + # divx072 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"999999999.5" / dec"1" == dec"1.00000000e+9" + # divx073 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"999999999.9" / dec"1" == dec"1.00000000e+9" + # divx074 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"999999999.999" / dec"1" == dec"1.00000000e+9" + # divx080 + @with_context (Emax=384, Emin=-383, precision=6, rounding=RoundNearestTiesAway) @test dec"999999999" / dec"1" == dec"1.00000e+9" + # divx081 + @with_context (Emax=384, Emin=-383, precision=6, rounding=RoundNearestTiesAway) @test dec"99999999" / dec"1" == dec"1.00000e+8" + # divx082 + @with_context (Emax=384, Emin=-383, precision=6, rounding=RoundNearestTiesAway) @test dec"9999999" / dec"1" == dec"1.00000e+7" + # divx083 + @with_context (Emax=384, Emin=-383, precision=6, rounding=RoundNearestTiesAway) @test dec"999999" / dec"1" == dec"999999" + # divx084 + @with_context (Emax=384, Emin=-383, precision=6, rounding=RoundNearestTiesAway) @test dec"99999" / dec"1" == dec"99999" + # divx085 + @with_context (Emax=384, Emin=-383, precision=6, rounding=RoundNearestTiesAway) @test dec"9999" / dec"1" == dec"9999" + # divx086 + @with_context (Emax=384, Emin=-383, precision=6, rounding=RoundNearestTiesAway) @test dec"999" / dec"1" == dec"999" + # divx087 + @with_context (Emax=384, Emin=-383, precision=6, rounding=RoundNearestTiesAway) @test dec"99" / dec"1" == dec"99" + # divx088 + @with_context (Emax=384, Emin=-383, precision=6, rounding=RoundNearestTiesAway) @test dec"9" / dec"1" == dec"9" + # divx090 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"0." / dec"1" == dec"0" + # divx091 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec".0" / dec"1" == dec"0.0" + # divx092 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"0.00" / dec"1" == dec"0.00" + # divx093 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"0.00e+9" / dec"1" == dec"0e+7" + # divx094 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"0.0000e-50" / dec"1" == dec"0e-54" + # divx095 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"1" / dec"1e-8" == dec"1e+8" + # divx096 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"1" / dec"1e-9" == dec"1e+9" + # divx097 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"1" / dec"1e-10" == dec"1e+10" + # divx098 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"1" / dec"1e-11" == dec"1e+11" + # divx099 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"1" / dec"1e-12" == dec"1e+12" + # divx100 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"1" / dec"1" == dec"1" + # divx101 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"1" / dec"2" == dec"0.5" + # divx102 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"1" / dec"3" == dec"0.333333333" + # divx103 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"1" / dec"4" == dec"0.25" + # divx104 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"1" / dec"5" == dec"0.2" + # divx105 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"1" / dec"6" == dec"0.166666667" + # divx106 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"1" / dec"7" == dec"0.142857143" + # divx107 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"1" / dec"8" == dec"0.125" + # divx108 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"1" / dec"9" == dec"0.111111111" + # divx109 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"1" / dec"10" == dec"0.1" + # divx110 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"1" / dec"1" == dec"1" + # divx111 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"2" / dec"1" == dec"2" + # divx112 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"3" / dec"1" == dec"3" + # divx113 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"4" / dec"1" == dec"4" + # divx114 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"5" / dec"1" == dec"5" + # divx115 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"6" / dec"1" == dec"6" + # divx116 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"7" / dec"1" == dec"7" + # divx117 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"8" / dec"1" == dec"8" + # divx118 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"9" / dec"1" == dec"9" + # divx119 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"10" / dec"1" == dec"10" + # divx120 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"3e+1" / dec"0.001" == dec"3e+4" + # divx121 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"2.200" / dec"2" == dec"1.100" + # divx130 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"12345" / dec"4.999" == dec"2469.49390" + # divx131 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"12345" / dec"4.99" == dec"2473.94790" + # divx132 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"12345" / dec"4.9" == dec"2519.38776" + # divx133 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"12345" / dec"5" == dec"2469" + # divx134 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"12345" / dec"5.1" == dec"2420.58824" + # divx135 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"12345" / dec"5.01" == dec"2464.07186" + # divx136 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test dec"12345" / dec"5.001" == dec"2468.50630" + # divx220 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"391" / dec"597" == dec"0.654941374" + # divx221 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"391" / dec"-597" == dec"-0.654941374" + # divx222 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"-391" / dec"597" == dec"-0.654941374" + # divx223 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"-391" / dec"-597" == dec"0.654941374" + # divx270 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"1" / dec"1e999999999" == dec"1e-999999999" + # divx271 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"1" / dec"0.9e999999999" == dec"1.11111111e-999999999" + # divx272 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"1" / dec"0.99e999999999" == dec"1.01010101e-999999999" + # divx273 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"1" / dec"0.999999999e999999999" == dec"1.00000000e-999999999" + # divx274 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"9e999999999" / dec"1" == dec"9e+999999999" + # divx275 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"9.9e999999999" / dec"1" == dec"9.9e+999999999" + # divx276 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"9.99e999999999" / dec"1" == dec"9.99e+999999999" + # divx277 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"9.99999999e999999999" / dec"1" == dec"9.99999999e+999999999" + # divx280 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"0.1" / dec"9e-999999999" == dec"1.11111111e+999999997" + # divx281 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"0.1" / dec"99e-999999999" == dec"1.01010101e+999999996" + # divx282 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"0.1" / dec"999e-999999999" == dec"1.00100100e+999999995" + # divx283 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"0.1" / dec"9e-999999998" == dec"1.11111111e+999999996" + # divx284 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"0.1" / dec"99e-999999998" == dec"1.01010101e+999999995" + # divx285 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"0.1" / dec"999e-999999998" == dec"1.00100100e+999999994" + # divx286 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"0.1" / dec"999e-999999997" == dec"1.00100100e+999999993" + # divx287 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"0.1" / dec"9999e-999999997" == dec"1.00010001e+999999992" + # divx288 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"0.1" / dec"99999e-999999997" == dec"1.00001000e+999999991" + # divx301 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"0" / dec"7" == dec"0" + # divx302 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"0" / dec"7e-5" == dec"0e+5" + # divx303 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"0" / dec"7e-1" == dec"0e+1" + # divx304 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"0" / dec"7e+1" == dec"0.0" + # divx305 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"0" / dec"7e+5" == dec"0.00000" + # divx306 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"0" / dec"7e+6" == dec"0.000000" + # divx307 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"0" / dec"7e+7" == dec"0e-7" + # divx308 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"0" / dec"70e-5" == dec"0e+5" + # divx309 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"0" / dec"70e-1" == dec"0e+1" + # divx310 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"0" / dec"70e+0" == dec"0" + # divx311 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"0" / dec"70e+1" == dec"0.0" + # divx312 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"0" / dec"70e+5" == dec"0.00000" + # divx313 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"0" / dec"70e+6" == dec"0.000000" + # divx314 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"0" / dec"70e+7" == dec"0e-7" + # divx315 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"0" / dec"700e-5" == dec"0e+5" + # divx316 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"0" / dec"700e-1" == dec"0e+1" + # divx317 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"0" / dec"700e+0" == dec"0" + # divx318 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"0" / dec"700e+1" == dec"0.0" + # divx319 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"0" / dec"700e+5" == dec"0.00000" + # divx320 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"0" / dec"700e+6" == dec"0.000000" + # divx321 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"0" / dec"700e+7" == dec"0e-7" + # divx322 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"0" / dec"700e+77" == dec"0e-77" + # divx331 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"0e-3" / dec"7e-5" == dec"0e+2" + # divx332 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"0e-3" / dec"7e-1" == dec"0.00" + # divx333 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"0e-3" / dec"7e+1" == dec"0.0000" + # divx334 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"0e-3" / dec"7e+5" == dec"0e-8" + # divx335 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"0e-1" / dec"7e-5" == dec"0e+4" + # divx336 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"0e-1" / dec"7e-1" == dec"0" + # divx337 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"0e-1" / dec"7e+1" == dec"0.00" + # divx338 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"0e-1" / dec"7e+5" == dec"0.000000" + # divx339 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"0e+1" / dec"7e-5" == dec"0e+6" + # divx340 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"0e+1" / dec"7e-1" == dec"0e+2" + # divx341 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"0e+1" / dec"7e+1" == dec"0" + # divx342 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"0e+1" / dec"7e+5" == dec"0.0000" + # divx343 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"0e+3" / dec"7e-5" == dec"0e+8" + # divx344 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"0e+3" / dec"7e-1" == dec"0e+4" + # divx345 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"0e+3" / dec"7e+1" == dec"0e+2" + # divx346 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"0e+3" / dec"7e+5" == dec"0.00" + # divx351 + @with_context (Emax=92, Emin=-92, precision=7, rounding=RoundNearestTiesAway) @test dec"0e-92" / dec"7e-1" == dec"0e-91" + # divx352 + @with_context (Emax=92, Emin=-92, precision=7, rounding=RoundNearestTiesAway) @test dec"0e-92" / dec"7e+1" == dec"0e-93" + # divx353 + @with_context (Emax=92, Emin=-92, precision=7, rounding=RoundNearestTiesAway) @test dec"0e-92" / dec"7e+5" == dec"0e-97" + # divx354 + @with_context (Emax=92, Emin=-92, precision=7, rounding=RoundNearestTiesAway) @test dec"0e-92" / dec"7e+6" == dec"0e-98" + # divx355 + @with_context (Emax=92, Emin=-92, precision=7, rounding=RoundNearestTiesAway) @test dec"0e-92" / dec"7e+7" == dec"0e-98" + # divx356 + @with_context (Emax=92, Emin=-92, precision=7, rounding=RoundNearestTiesAway) @test dec"0e-92" / dec"777e-1" == dec"0e-91" + # divx357 + @with_context (Emax=92, Emin=-92, precision=7, rounding=RoundNearestTiesAway) @test dec"0e-92" / dec"777e+1" == dec"0e-93" + # divx358 + @with_context (Emax=92, Emin=-92, precision=7, rounding=RoundNearestTiesAway) @test dec"0e-92" / dec"777e+3" == dec"0e-95" + # divx359 + @with_context (Emax=92, Emin=-92, precision=7, rounding=RoundNearestTiesAway) @test dec"0e-92" / dec"777e+4" == dec"0e-96" + # divx360 + @with_context (Emax=92, Emin=-92, precision=7, rounding=RoundNearestTiesAway) @test dec"0e-92" / dec"777e+5" == dec"0e-97" + # divx361 + @with_context (Emax=92, Emin=-92, precision=7, rounding=RoundNearestTiesAway) @test dec"0e-92" / dec"777e+6" == dec"0e-98" + # divx362 + @with_context (Emax=92, Emin=-92, precision=7, rounding=RoundNearestTiesAway) @test dec"0e-92" / dec"777e+7" == dec"0e-98" + # divx363 + @with_context (Emax=92, Emin=-92, precision=7, rounding=RoundNearestTiesAway) @test dec"0e-92" / dec"7e+92" == dec"0e-98" + # divx371 + @with_context (Emax=92, Emin=-92, precision=7, rounding=RoundNearestTiesAway) @test dec"0e-92" / dec"700e-1" == dec"0e-91" + # divx372 + @with_context (Emax=92, Emin=-92, precision=7, rounding=RoundNearestTiesAway) @test dec"0e-92" / dec"700e+1" == dec"0e-93" + # divx373 + @with_context (Emax=92, Emin=-92, precision=7, rounding=RoundNearestTiesAway) @test dec"0e-92" / dec"700e+3" == dec"0e-95" + # divx374 + @with_context (Emax=92, Emin=-92, precision=7, rounding=RoundNearestTiesAway) @test dec"0e-92" / dec"700e+4" == dec"0e-96" + # divx375 + @with_context (Emax=92, Emin=-92, precision=7, rounding=RoundNearestTiesAway) @test dec"0e-92" / dec"700e+5" == dec"0e-97" + # divx376 + @with_context (Emax=92, Emin=-92, precision=7, rounding=RoundNearestTiesAway) @test dec"0e-92" / dec"700e+6" == dec"0e-98" + # divx377 + @with_context (Emax=92, Emin=-92, precision=7, rounding=RoundNearestTiesAway) @test dec"0e-92" / dec"700e+7" == dec"0e-98" + # divx381 + @with_context (Emax=92, Emin=-92, precision=7, rounding=RoundNearestTiesAway) @test dec"0e+92" / dec"7e+1" == dec"0e+91" + # divx382 + @with_context (Emax=92, Emin=-92, precision=7, rounding=RoundNearestTiesAway) @test dec"0e+92" / dec"7e+0" == dec"0e+92" + # divx383 + @with_context (Emax=92, Emin=-92, precision=7, rounding=RoundNearestTiesAway) @test dec"0e+92" / dec"7e-1" == dec"0e+92" + # divx384 + @with_context (Emax=92, Emin=-92, precision=7, rounding=RoundNearestTiesAway) @test dec"0e+90" / dec"777e+1" == dec"0e+89" + # divx385 + @with_context (Emax=92, Emin=-92, precision=7, rounding=RoundNearestTiesAway) @test dec"0e+90" / dec"777e-1" == dec"0e+91" + # divx386 + @with_context (Emax=92, Emin=-92, precision=7, rounding=RoundNearestTiesAway) @test dec"0e+90" / dec"777e-2" == dec"0e+92" + # divx387 + @with_context (Emax=92, Emin=-92, precision=7, rounding=RoundNearestTiesAway) @test dec"0e+90" / dec"777e-3" == dec"0e+92" + # divx388 + @with_context (Emax=92, Emin=-92, precision=7, rounding=RoundNearestTiesAway) @test dec"0e+90" / dec"777e-4" == dec"0e+92" + # divx391 + @with_context (Emax=92, Emin=-92, precision=7, rounding=RoundNearestTiesAway) @test dec"0e+90" / dec"700e+1" == dec"0e+89" + # divx392 + @with_context (Emax=92, Emin=-92, precision=7, rounding=RoundNearestTiesAway) @test dec"0e+90" / dec"700e-1" == dec"0e+91" + # divx393 + @with_context (Emax=92, Emin=-92, precision=7, rounding=RoundNearestTiesAway) @test dec"0e+90" / dec"700e-2" == dec"0e+92" + # divx394 + @with_context (Emax=92, Emin=-92, precision=7, rounding=RoundNearestTiesAway) @test dec"0e+90" / dec"700e-3" == dec"0e+92" + # divx395 + @with_context (Emax=92, Emin=-92, precision=7, rounding=RoundNearestTiesAway) @test dec"0e+90" / dec"700e-4" == dec"0e+92" + # divx401 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"12345678000" / dec"1" == dec"1.23456780e+10" + # divx402 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"1" / dec"12345678000" == dec"8.10000066e-11" + # divx403 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"1234567800" / dec"1" == dec"1.23456780e+9" + # divx404 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"1" / dec"1234567800" == dec"8.10000066e-10" + # divx405 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"1234567890" / dec"1" == dec"1.23456789e+9" + # divx406 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"1" / dec"1234567890" == dec"8.10000007e-10" + # divx407 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"1234567891" / dec"1" == dec"1.23456789e+9" + # divx408 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"1" / dec"1234567891" == dec"8.10000007e-10" + # divx409 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"12345678901" / dec"1" == dec"1.23456789e+10" + # divx410 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"1" / dec"12345678901" == dec"8.10000007e-11" + # divx411 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"1234567896" / dec"1" == dec"1.23456790e+9" + # divx412 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"1" / dec"1234567896" == dec"8.10000003e-10" + # divx413 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"1" / dec"1234567897" == dec"8.10000003e-10" + # divx414 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"1" / dec"1234567898" == dec"8.10000002e-10" + # divx415 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"1" / dec"1234567899" == dec"8.10000001e-10" + # divx416 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"1" / dec"1234567900" == dec"8.10000001e-10" + # divx417 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"1" / dec"1234567901" == dec"8.10000000e-10" + # divx418 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"1" / dec"1234567902" == dec"8.09999999e-10" + # divx421 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"1234567896.000000000000" / dec"1" == dec"1.23456790e+9" + # divx422 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"1" / dec"1234567896.000000000000" == dec"8.10000003e-10" + # divx423 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"1234567896.000000000001" / dec"1" == dec"1.23456790e+9" + # divx424 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"1" / dec"1234567896.000000000001" == dec"8.10000003e-10" + # divx425 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"1234567896.000000000000000000000000000000000000000009" / dec"1" == dec"1.23456790e+9" + # divx426 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"1" / dec"1234567896.000000000000000000000000000000000000000009" == dec"8.10000003e-10" + # divx427 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"1234567897.900010000000000000000000000000000000000009" / dec"1" == dec"1.23456790e+9" + # divx428 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"1" / dec"1234567897.900010000000000000000000000000000000000009" == dec"8.10000002e-10" + # divx441 + @with_context (Emax=999, Emin=-999, precision=15, rounding=RoundNearestTiesAway) @test dec"12345678000" / dec"1" == dec"12345678000" + # divx442 + @with_context (Emax=999, Emin=-999, precision=15, rounding=RoundNearestTiesAway) @test dec"1" / dec"12345678000" == dec"8.10000066420005e-11" + # divx443 + @with_context (Emax=999, Emin=-999, precision=15, rounding=RoundNearestTiesAway) @test dec"1234567800" / dec"1" == dec"1234567800" + # divx444 + @with_context (Emax=999, Emin=-999, precision=15, rounding=RoundNearestTiesAway) @test dec"1" / dec"1234567800" == dec"8.10000066420005e-10" + # divx445 + @with_context (Emax=999, Emin=-999, precision=15, rounding=RoundNearestTiesAway) @test dec"1234567890" / dec"1" == dec"1234567890" + # divx446 + @with_context (Emax=999, Emin=-999, precision=15, rounding=RoundNearestTiesAway) @test dec"1" / dec"1234567890" == dec"8.10000007371000e-10" + # divx447 + @with_context (Emax=999, Emin=-999, precision=15, rounding=RoundNearestTiesAway) @test dec"1234567891" / dec"1" == dec"1234567891" + # divx448 + @with_context (Emax=999, Emin=-999, precision=15, rounding=RoundNearestTiesAway) @test dec"1" / dec"1234567891" == dec"8.10000006714900e-10" + # divx449 + @with_context (Emax=999, Emin=-999, precision=15, rounding=RoundNearestTiesAway) @test dec"12345678901" / dec"1" == dec"12345678901" + # divx450 + @with_context (Emax=999, Emin=-999, precision=15, rounding=RoundNearestTiesAway) @test dec"1" / dec"12345678901" == dec"8.10000007305390e-11" + # divx451 + @with_context (Emax=999, Emin=-999, precision=15, rounding=RoundNearestTiesAway) @test dec"1234567896" / dec"1" == dec"1234567896" + # divx452 + @with_context (Emax=999, Emin=-999, precision=15, rounding=RoundNearestTiesAway) @test dec"1" / dec"1234567896" == dec"8.10000003434400e-10" + # divx453 + @with_context (Emax=999, Emin=-999, precision=15, rounding=RoundNearestTiesAway) @test dec"1e+1" / dec"1" == dec"1e+1" + # divx454 + @with_context (Emax=999, Emin=-999, precision=15, rounding=RoundNearestTiesAway) @test dec"1e+1" / dec"1.0" == dec"1e+1" + # divx455 + @with_context (Emax=999, Emin=-999, precision=15, rounding=RoundNearestTiesAway) @test dec"1e+1" / dec"1.00" == dec"1e+1" + # divx456 + @with_context (Emax=999, Emin=-999, precision=15, rounding=RoundNearestTiesAway) @test dec"1e+2" / dec"2" == dec"5e+1" + # divx457 + @with_context (Emax=999, Emin=-999, precision=15, rounding=RoundNearestTiesAway) @test dec"1e+2" / dec"2.0" == dec"5e+1" + # divx458 + @with_context (Emax=999, Emin=-999, precision=15, rounding=RoundNearestTiesAway) @test dec"1e+2" / dec"2.00" == dec"5e+1" + # divx460 + @with_context (Emax=999, Emin=-999, precision=15, rounding=RoundNearestTiesAway) @test dec"3e0" / dec"2e0" == dec"1.5" + # divx461 + @with_context (Emax=999, Emin=-999, precision=15, rounding=RoundNearestTiesAway) @test dec"30e-1" / dec"2e0" == dec"1.5" + # divx462 + @with_context (Emax=999, Emin=-999, precision=15, rounding=RoundNearestTiesAway) @test dec"300e-2" / dec"2e0" == dec"1.50" + # divx464 + @with_context (Emax=999, Emin=-999, precision=15, rounding=RoundNearestTiesAway) @test dec"3000e-3" / dec"2e0" == dec"1.500" + # divx465 + @with_context (Emax=999, Emin=-999, precision=15, rounding=RoundNearestTiesAway) @test dec"3e0" / dec"20e-1" == dec"1.5" + # divx466 + @with_context (Emax=999, Emin=-999, precision=15, rounding=RoundNearestTiesAway) @test dec"30e-1" / dec"20e-1" == dec"1.5" + # divx467 + @with_context (Emax=999, Emin=-999, precision=15, rounding=RoundNearestTiesAway) @test dec"300e-2" / dec"20e-1" == dec"1.5" + # divx468 + @with_context (Emax=999, Emin=-999, precision=15, rounding=RoundNearestTiesAway) @test dec"3000e-3" / dec"20e-1" == dec"1.50" + # divx469 + @with_context (Emax=999, Emin=-999, precision=15, rounding=RoundNearestTiesAway) @test dec"3e0" / dec"200e-2" == dec"1.5" + # divx470 + @with_context (Emax=999, Emin=-999, precision=15, rounding=RoundNearestTiesAway) @test dec"30e-1" / dec"200e-2" == dec"1.5" + # divx471 + @with_context (Emax=999, Emin=-999, precision=15, rounding=RoundNearestTiesAway) @test dec"300e-2" / dec"200e-2" == dec"1.5" + # divx472 + @with_context (Emax=999, Emin=-999, precision=15, rounding=RoundNearestTiesAway) @test dec"3000e-3" / dec"200e-2" == dec"1.5" + # divx473 + @with_context (Emax=999, Emin=-999, precision=15, rounding=RoundNearestTiesAway) @test dec"3e0" / dec"2000e-3" == dec"1.5" + # divx474 + @with_context (Emax=999, Emin=-999, precision=15, rounding=RoundNearestTiesAway) @test dec"30e-1" / dec"2000e-3" == dec"1.5" + # divx475 + @with_context (Emax=999, Emin=-999, precision=15, rounding=RoundNearestTiesAway) @test dec"300e-2" / dec"2000e-3" == dec"1.5" + # divx476 + @with_context (Emax=999, Emin=-999, precision=15, rounding=RoundNearestTiesAway) @test dec"3000e-3" / dec"2000e-3" == dec"1.5" + # divx480 + @with_context (Emax=999, Emin=-999, precision=15, rounding=RoundNearestTiesAway) @test dec"1" / dec"1.0e+33" == dec"1e-33" + # divx481 + @with_context (Emax=999, Emin=-999, precision=15, rounding=RoundNearestTiesAway) @test dec"1" / dec"10e+33" == dec"1e-34" + # divx482 + @with_context (Emax=999, Emin=-999, precision=15, rounding=RoundNearestTiesAway) @test dec"1" / dec"1.0e-33" == dec"1e+33" + # divx483 + @with_context (Emax=999, Emin=-999, precision=15, rounding=RoundNearestTiesAway) @test dec"1" / dec"10e-33" == dec"1e+32" + # divx484 + @with_context (Emax=96, Emin=-95, precision=7, rounding=RoundNearestTiesAway) @test dec"0e5" / dec"1e3" == dec"0e+2" + # divx485 + @with_context (Emax=96, Emin=-95, precision=7, rounding=RoundNearestTiesAway) @test dec"0e5" / dec"2e3" == dec"0e+2" + # divx486 + @with_context (Emax=96, Emin=-95, precision=7, rounding=RoundNearestTiesAway) @test dec"0e5" / dec"10e2" == dec"0e+3" + # divx487 + @with_context (Emax=96, Emin=-95, precision=7, rounding=RoundNearestTiesAway) @test dec"0e5" / dec"20e2" == dec"0e+3" + # divx488 + @with_context (Emax=96, Emin=-95, precision=7, rounding=RoundNearestTiesAway) @test dec"0e5" / dec"100e1" == dec"0e+4" + # divx489 + @with_context (Emax=96, Emin=-95, precision=7, rounding=RoundNearestTiesAway) @test dec"0e5" / dec"200e1" == dec"0e+4" + # divx491 + @with_context (Emax=96, Emin=-95, precision=7, rounding=RoundNearestTiesAway) @test dec"1e5" / dec"1e3" == dec"1e+2" + # divx492 + @with_context (Emax=96, Emin=-95, precision=7, rounding=RoundNearestTiesAway) @test dec"1e5" / dec"2e3" == dec"5e+1" + # divx493 + @with_context (Emax=96, Emin=-95, precision=7, rounding=RoundNearestTiesAway) @test dec"1e5" / dec"10e2" == dec"1e+2" + # divx494 + @with_context (Emax=96, Emin=-95, precision=7, rounding=RoundNearestTiesAway) @test dec"1e5" / dec"20e2" == dec"5e+1" + # divx495 + @with_context (Emax=96, Emin=-95, precision=7, rounding=RoundNearestTiesAway) @test dec"1e5" / dec"100e1" == dec"1e+2" + # divx496 + @with_context (Emax=96, Emin=-95, precision=7, rounding=RoundNearestTiesAway) @test dec"1e5" / dec"200e1" == dec"5e+1" + # divx497 + @with_context (Emax=92, Emin=-92, precision=7, rounding=RoundNearestTiesAway) @test dec"0e+86" / dec"1000e-13" == dec"0e+92" + # divx498 + @with_context (Emax=92, Emin=-92, precision=7, rounding=RoundNearestTiesAway) @test dec"0e-98" / dec"1000e+13" == dec"0e-98" + # divx500 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"1" / dec"9.9" == dec"0.101010101" + # divx501 + @with_context (Emax=999, Emin=-999, precision=8, rounding=RoundNearestTiesAway) @test dec"1" / dec"9.9" == dec"0.10101010" + # divx502 + @with_context (Emax=999, Emin=-999, precision=7, rounding=RoundNearestTiesAway) @test dec"1" / dec"9.9" == dec"0.1010101" + # divx503 + @with_context (Emax=999, Emin=-999, precision=6, rounding=RoundNearestTiesAway) @test dec"1" / dec"9.9" == dec"0.101010" + # divx511 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"1" / dec"2" == dec"0.5" + # divx512 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"1.0" / dec"2" == dec"0.5" + # divx513 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"1.00" / dec"2" == dec"0.50" + # divx514 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"1.000" / dec"2" == dec"0.500" + # divx515 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"1.0000" / dec"2" == dec"0.5000" + # divx516 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"1.00000" / dec"2" == dec"0.50000" + # divx517 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"1.000000" / dec"2" == dec"0.500000" + # divx518 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"1.0000000" / dec"2" == dec"0.5000000" + # divx519 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"1.00" / dec"2.00" == dec"0.5" + # divx521 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"2" / dec"1" == dec"2" + # divx522 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"2" / dec"1.0" == dec"2" + # divx523 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"2" / dec"1.00" == dec"2" + # divx524 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"2" / dec"1.000" == dec"2" + # divx525 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"2" / dec"1.0000" == dec"2" + # divx526 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"2" / dec"1.00000" == dec"2" + # divx527 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"2" / dec"1.000000" == dec"2" + # divx528 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"2" / dec"1.0000000" == dec"2" + # divx529 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"2.00" / dec"1.00" == dec"2" + # divx530 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"2.40" / dec"2" == dec"1.20" + # divx531 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"2.40" / dec"4" == dec"0.60" + # divx532 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"2.40" / dec"10" == dec"0.24" + # divx533 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"2.40" / dec"2.0" == dec"1.2" + # divx534 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"2.40" / dec"4.0" == dec"0.6" + # divx535 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"2.40" / dec"10.0" == dec"0.24" + # divx536 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"2.40" / dec"2.00" == dec"1.2" + # divx537 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"2.40" / dec"4.00" == dec"0.6" + # divx538 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"2.40" / dec"10.00" == dec"0.24" + # divx539 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"0.9" / dec"0.1" == dec"9" + # divx540 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"0.9" / dec"0.01" == dec"9e+1" + # divx541 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"0.9" / dec"0.001" == dec"9e+2" + # divx542 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"5" / dec"2" == dec"2.5" + # divx543 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"5" / dec"2.0" == dec"2.5" + # divx544 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"5" / dec"2.00" == dec"2.5" + # divx545 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"5" / dec"20" == dec"0.25" + # divx546 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"5" / dec"20.0" == dec"0.25" + # divx547 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"2.400" / dec"2" == dec"1.200" + # divx548 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"2.400" / dec"2.0" == dec"1.20" + # divx549 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"2.400" / dec"2.400" == dec"1" + # divx550 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"240" / dec"1" == dec"240" + # divx551 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"240" / dec"10" == dec"24" + # divx552 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"240" / dec"100" == dec"2.4" + # divx553 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"240" / dec"1000" == dec"0.24" + # divx554 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"2400" / dec"1" == dec"2400" + # divx555 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"2400" / dec"10" == dec"240" + # divx556 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"2400" / dec"100" == dec"24" + # divx557 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"2400" / dec"1000" == dec"2.4" + # divx570 + @with_context (Emax=999, Emin=-999, precision=5, rounding=RoundNearestTiesAway) @test dec"2.4e+6" / dec"2" == dec"1.2e+6" + # divx571 + @with_context (Emax=999, Emin=-999, precision=5, rounding=RoundNearestTiesAway) @test dec"2.40e+6" / dec"2" == dec"1.20e+6" + # divx572 + @with_context (Emax=999, Emin=-999, precision=5, rounding=RoundNearestTiesAway) @test dec"2.400e+6" / dec"2" == dec"1.200e+6" + # divx573 + @with_context (Emax=999, Emin=-999, precision=5, rounding=RoundNearestTiesAway) @test dec"2.4000e+6" / dec"2" == dec"1.2000e+6" + # divx574 + @with_context (Emax=999, Emin=-999, precision=5, rounding=RoundNearestTiesAway) @test dec"24e+5" / dec"2" == dec"1.2e+6" + # divx575 + @with_context (Emax=999, Emin=-999, precision=5, rounding=RoundNearestTiesAway) @test dec"240e+4" / dec"2" == dec"1.20e+6" + # divx576 + @with_context (Emax=999, Emin=-999, precision=5, rounding=RoundNearestTiesAway) @test dec"2400e+3" / dec"2" == dec"1.200e+6" + # divx577 + @with_context (Emax=999, Emin=-999, precision=5, rounding=RoundNearestTiesAway) @test dec"24000e+2" / dec"2" == dec"1.2000e+6" + # divx580 + @with_context (Emax=999, Emin=-999, precision=6, rounding=RoundNearestTiesAway) @test dec"2.4e+6" / dec"2" == dec"1.2e+6" + # divx581 + @with_context (Emax=999, Emin=-999, precision=6, rounding=RoundNearestTiesAway) @test dec"2.40e+6" / dec"2" == dec"1.20e+6" + # divx582 + @with_context (Emax=999, Emin=-999, precision=6, rounding=RoundNearestTiesAway) @test dec"2.400e+6" / dec"2" == dec"1.200e+6" + # divx583 + @with_context (Emax=999, Emin=-999, precision=6, rounding=RoundNearestTiesAway) @test dec"2.4000e+6" / dec"2" == dec"1.2000e+6" + # divx584 + @with_context (Emax=999, Emin=-999, precision=6, rounding=RoundNearestTiesAway) @test dec"24e+5" / dec"2" == dec"1.2e+6" + # divx585 + @with_context (Emax=999, Emin=-999, precision=6, rounding=RoundNearestTiesAway) @test dec"240e+4" / dec"2" == dec"1.20e+6" + # divx586 + @with_context (Emax=999, Emin=-999, precision=6, rounding=RoundNearestTiesAway) @test dec"2400e+3" / dec"2" == dec"1.200e+6" + # divx587 + @with_context (Emax=999, Emin=-999, precision=6, rounding=RoundNearestTiesAway) @test dec"24000e+2" / dec"2" == dec"1.2000e+6" + # divx590 + @with_context (Emax=999, Emin=-999, precision=7, rounding=RoundNearestTiesAway) @test dec"2.4e+6" / dec"2" == dec"1.2e+6" + # divx591 + @with_context (Emax=999, Emin=-999, precision=7, rounding=RoundNearestTiesAway) @test dec"2.40e+6" / dec"2" == dec"1.20e+6" + # divx592 + @with_context (Emax=999, Emin=-999, precision=7, rounding=RoundNearestTiesAway) @test dec"2.400e+6" / dec"2" == dec"1.200e+6" + # divx593 + @with_context (Emax=999, Emin=-999, precision=7, rounding=RoundNearestTiesAway) @test dec"2.4000e+6" / dec"2" == dec"1.2000e+6" + # divx594 + @with_context (Emax=999, Emin=-999, precision=7, rounding=RoundNearestTiesAway) @test dec"24e+5" / dec"2" == dec"1.2e+6" + # divx595 + @with_context (Emax=999, Emin=-999, precision=7, rounding=RoundNearestTiesAway) @test dec"240e+4" / dec"2" == dec"1.20e+6" + # divx596 + @with_context (Emax=999, Emin=-999, precision=7, rounding=RoundNearestTiesAway) @test dec"2400e+3" / dec"2" == dec"1.200e+6" + # divx597 + @with_context (Emax=999, Emin=-999, precision=7, rounding=RoundNearestTiesAway) @test dec"24000e+2" / dec"2" == dec"1.2000e+6" + # divx600 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"2.4e+9" / dec"2" == dec"1.2e+9" + # divx601 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"2.40e+9" / dec"2" == dec"1.20e+9" + # divx602 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"2.400e+9" / dec"2" == dec"1.200e+9" + # divx603 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"2.4000e+9" / dec"2" == dec"1.2000e+9" + # divx604 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"24e+8" / dec"2" == dec"1.2e+9" + # divx605 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"240e+7" / dec"2" == dec"1.20e+9" + # divx606 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"2400e+6" / dec"2" == dec"1.200e+9" + # divx607 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"24000e+5" / dec"2" == dec"1.2000e+9" + # divx610 + @with_context (Emax=999, Emin=-999, precision=33, rounding=RoundNearestTiesAway) @test dec"-3374988581607586061255542201048" / dec"82293895124.90045271504836568681" == dec"-41011408883796817797.8131097703792" + # divx611 + @with_context (Emax=999, Emin=-999, precision=32, rounding=RoundNearestTiesAway) @test dec"-3374988581607586061255542201048" / dec"82293895124.90045271504836568681" == dec"-41011408883796817797.813109770379" + # divx612 + @with_context (Emax=999, Emin=-999, precision=31, rounding=RoundNearestTiesAway) @test dec"-3374988581607586061255542201048" / dec"82293895124.90045271504836568681" == dec"-41011408883796817797.81310977038" + # divx613 + @with_context (Emax=999, Emin=-999, precision=30, rounding=RoundNearestTiesAway) @test dec"-3374988581607586061255542201048" / dec"82293895124.90045271504836568681" == dec"-41011408883796817797.8131097704" + # divx614 + @with_context (Emax=999, Emin=-999, precision=29, rounding=RoundNearestTiesAway) @test dec"-3374988581607586061255542201048" / dec"82293895124.90045271504836568681" == dec"-41011408883796817797.813109770" + # divx615 + @with_context (Emax=999, Emin=-999, precision=28, rounding=RoundNearestTiesAway) @test dec"-3374988581607586061255542201048" / dec"82293895124.90045271504836568681" == dec"-41011408883796817797.81310977" + # divx616 + @with_context (Emax=999, Emin=-999, precision=27, rounding=RoundNearestTiesAway) @test dec"-3374988581607586061255542201048" / dec"82293895124.90045271504836568681" == dec"-41011408883796817797.8131098" + # divx617 + @with_context (Emax=999, Emin=-999, precision=26, rounding=RoundNearestTiesAway) @test dec"-3374988581607586061255542201048" / dec"82293895124.90045271504836568681" == dec"-41011408883796817797.813110" + # divx618 + @with_context (Emax=999, Emin=-999, precision=25, rounding=RoundNearestTiesAway) @test dec"-3374988581607586061255542201048" / dec"82293895124.90045271504836568681" == dec"-41011408883796817797.81311" + # divx619 + @with_context (Emax=999, Emin=-999, precision=24, rounding=RoundNearestTiesAway) @test dec"-3374988581607586061255542201048" / dec"82293895124.90045271504836568681" == dec"-41011408883796817797.8131" + # divx620 + @with_context (Emax=999, Emin=-999, precision=23, rounding=RoundNearestTiesAway) @test dec"-3374988581607586061255542201048" / dec"82293895124.90045271504836568681" == dec"-41011408883796817797.813" + # divx621 + @with_context (Emax=999, Emin=-999, precision=22, rounding=RoundNearestTiesAway) @test dec"-3374988581607586061255542201048" / dec"82293895124.90045271504836568681" == dec"-41011408883796817797.81" + # divx622 + @with_context (Emax=999, Emin=-999, precision=21, rounding=RoundNearestTiesAway) @test dec"-3374988581607586061255542201048" / dec"82293895124.90045271504836568681" == dec"-41011408883796817797.8" + # divx623 + @with_context (Emax=999, Emin=-999, precision=20, rounding=RoundNearestTiesAway) @test dec"-3374988581607586061255542201048" / dec"82293895124.90045271504836568681" == dec"-41011408883796817798" + # divx624 + @with_context (Emax=999, Emin=-999, precision=19, rounding=RoundNearestTiesAway) @test dec"-3374988581607586061255542201048" / dec"82293895124.90045271504836568681" == dec"-4.101140888379681780e+19" + # divx625 + @with_context (Emax=999, Emin=-999, precision=18, rounding=RoundNearestTiesAway) @test dec"-3374988581607586061255542201048" / dec"82293895124.90045271504836568681" == dec"-4.10114088837968178e+19" + # divx626 + @with_context (Emax=999, Emin=-999, precision=17, rounding=RoundNearestTiesAway) @test dec"-3374988581607586061255542201048" / dec"82293895124.90045271504836568681" == dec"-4.1011408883796818e+19" + # divx627 + @with_context (Emax=999, Emin=-999, precision=16, rounding=RoundNearestTiesAway) @test dec"-3374988581607586061255542201048" / dec"82293895124.90045271504836568681" == dec"-4.101140888379682e+19" + # divx628 + @with_context (Emax=999, Emin=-999, precision=15, rounding=RoundNearestTiesAway) @test dec"-3374988581607586061255542201048" / dec"82293895124.90045271504836568681" == dec"-4.10114088837968e+19" + # divx629 + @with_context (Emax=999, Emin=-999, precision=14, rounding=RoundNearestTiesAway) @test dec"-3374988581607586061255542201048" / dec"82293895124.90045271504836568681" == dec"-4.1011408883797e+19" + # divx630 + @with_context (Emax=999, Emin=-999, precision=13, rounding=RoundNearestTiesAway) @test dec"-3374988581607586061255542201048" / dec"82293895124.90045271504836568681" == dec"-4.101140888380e+19" + # divx631 + @with_context (Emax=999, Emin=-999, precision=12, rounding=RoundNearestTiesAway) @test dec"-3374988581607586061255542201048" / dec"82293895124.90045271504836568681" == dec"-4.10114088838e+19" + # divx632 + @with_context (Emax=999, Emin=-999, precision=11, rounding=RoundNearestTiesAway) @test dec"-3374988581607586061255542201048" / dec"82293895124.90045271504836568681" == dec"-4.1011408884e+19" + # divx633 + @with_context (Emax=999, Emin=-999, precision=10, rounding=RoundNearestTiesAway) @test dec"-3374988581607586061255542201048" / dec"82293895124.90045271504836568681" == dec"-4.101140888e+19" + # divx634 + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test dec"-3374988581607586061255542201048" / dec"82293895124.90045271504836568681" == dec"-4.10114089e+19" + # divx635 + @with_context (Emax=999, Emin=-999, precision=8, rounding=RoundNearestTiesAway) @test dec"-3374988581607586061255542201048" / dec"82293895124.90045271504836568681" == dec"-4.1011409e+19" + # divx636 + @with_context (Emax=999, Emin=-999, precision=7, rounding=RoundNearestTiesAway) @test dec"-3374988581607586061255542201048" / dec"82293895124.90045271504836568681" == dec"-4.101141e+19" + # divx637 + @with_context (Emax=999, Emin=-999, precision=6, rounding=RoundNearestTiesAway) @test dec"-3374988581607586061255542201048" / dec"82293895124.90045271504836568681" == dec"-4.10114e+19" + # divx638 + @with_context (Emax=999, Emin=-999, precision=5, rounding=RoundNearestTiesAway) @test dec"-3374988581607586061255542201048" / dec"82293895124.90045271504836568681" == dec"-4.1011e+19" + # divx639 + @with_context (Emax=999, Emin=-999, precision=4, rounding=RoundNearestTiesAway) @test dec"-3374988581607586061255542201048" / dec"82293895124.90045271504836568681" == dec"-4.101e+19" + # divx640 + @with_context (Emax=999, Emin=-999, precision=3, rounding=RoundNearestTiesAway) @test dec"-3374988581607586061255542201048" / dec"82293895124.90045271504836568681" == dec"-4.10e+19" + # divx641 + @with_context (Emax=999, Emin=-999, precision=2, rounding=RoundNearestTiesAway) @test dec"-3374988581607586061255542201048" / dec"82293895124.90045271504836568681" == dec"-4.1e+19" + # divx642 + @with_context (Emax=999, Emin=-999, precision=1, rounding=RoundNearestTiesAway) @test dec"-3374988581607586061255542201048" / dec"82293895124.90045271504836568681" == dec"-4e+19" + # divx731 + @with_context (Emax=384, Emin=-383, precision=16, rounding=RoundNearestTiesAway) @test dec"5.00" / dec"1e-3" == dec"5.00e+3" + # divx732 + @with_context (Emax=384, Emin=-383, precision=16, rounding=RoundNearestTiesAway) @test_throws UndefinedDivisionError dec"00.00" / dec"0.000" + # divx733 + @with_context (Emax=384, Emin=-383, precision=16, rounding=RoundNearestTiesAway) @test_throws UndefinedDivisionError dec"00.00" / dec"0e-3" + # divx734 + @with_context (Emax=384, Emin=-383, precision=16, rounding=RoundNearestTiesAway) @test_throws UndefinedDivisionError dec"0" / dec"-0" + # divx735 + @with_context (Emax=384, Emin=-383, precision=16, rounding=RoundNearestTiesAway) @test_throws UndefinedDivisionError dec"-0" / dec"0" + # divx736 + @with_context (Emax=384, Emin=-383, precision=16, rounding=RoundNearestTiesAway) @test_throws UndefinedDivisionError dec"-0" / dec"-0" + # divx741 + @with_context (Emax=384, Emin=-383, precision=16, rounding=RoundNearestTiesAway) @test dec"0" / dec"-1" == dec"-0" + # divx742 + @with_context (Emax=384, Emin=-383, precision=16, rounding=RoundNearestTiesAway) @test dec"-0" / dec"-1" == dec"0" + # divx743 + @with_context (Emax=384, Emin=-383, precision=16, rounding=RoundNearestTiesAway) @test dec"0" / dec"1" == dec"0" + # divx744 + @with_context (Emax=384, Emin=-383, precision=16, rounding=RoundNearestTiesAway) @test dec"-0" / dec"1" == dec"-0" + # divx745 + @with_context (Emax=384, Emin=-383, precision=16, rounding=RoundNearestTiesAway) @test_throws DivisionByZeroError dec"-1" / dec"0" + # divx746 + @with_context (Emax=384, Emin=-383, precision=16, rounding=RoundNearestTiesAway) @test_throws DivisionByZeroError dec"-1" / dec"-0" + # divx747 + @with_context (Emax=384, Emin=-383, precision=16, rounding=RoundNearestTiesAway) @test_throws DivisionByZeroError dec"1" / dec"0" + # divx748 + @with_context (Emax=384, Emin=-383, precision=16, rounding=RoundNearestTiesAway) @test_throws DivisionByZeroError dec"1" / dec"-0" + # divx751 + @with_context (Emax=384, Emin=-383, precision=16, rounding=RoundNearestTiesAway) @test dec"0.0" / dec"-1" == dec"-0.0" + # divx752 + @with_context (Emax=384, Emin=-383, precision=16, rounding=RoundNearestTiesAway) @test dec"-0.0" / dec"-1" == dec"0.0" + # divx753 + @with_context (Emax=384, Emin=-383, precision=16, rounding=RoundNearestTiesAway) @test dec"0.0" / dec"1" == dec"0.0" + # divx754 + @with_context (Emax=384, Emin=-383, precision=16, rounding=RoundNearestTiesAway) @test dec"-0.0" / dec"1" == dec"-0.0" + # divx755 + @with_context (Emax=384, Emin=-383, precision=16, rounding=RoundNearestTiesAway) @test_throws DivisionByZeroError dec"-1.0" / dec"0" + # divx756 + @with_context (Emax=384, Emin=-383, precision=16, rounding=RoundNearestTiesAway) @test_throws DivisionByZeroError dec"-1.0" / dec"-0" + # divx757 + @with_context (Emax=384, Emin=-383, precision=16, rounding=RoundNearestTiesAway) @test_throws DivisionByZeroError dec"1.0" / dec"0" + # divx758 + @with_context (Emax=384, Emin=-383, precision=16, rounding=RoundNearestTiesAway) @test_throws DivisionByZeroError dec"1.0" / dec"-0" + # divx761 + @with_context (Emax=384, Emin=-383, precision=16, rounding=RoundNearestTiesAway) @test dec"0" / dec"-1.0" == dec"-0e+1" + # divx762 + @with_context (Emax=384, Emin=-383, precision=16, rounding=RoundNearestTiesAway) @test dec"-0" / dec"-1.0" == dec"0e+1" + # divx763 + @with_context (Emax=384, Emin=-383, precision=16, rounding=RoundNearestTiesAway) @test dec"0" / dec"1.0" == dec"0e+1" + # divx764 + @with_context (Emax=384, Emin=-383, precision=16, rounding=RoundNearestTiesAway) @test dec"-0" / dec"1.0" == dec"-0e+1" + # divx765 + @with_context (Emax=384, Emin=-383, precision=16, rounding=RoundNearestTiesAway) @test_throws DivisionByZeroError dec"-1" / dec"0.0" + # divx766 + @with_context (Emax=384, Emin=-383, precision=16, rounding=RoundNearestTiesAway) @test_throws DivisionByZeroError dec"-1" / dec"-0.0" + # divx767 + @with_context (Emax=384, Emin=-383, precision=16, rounding=RoundNearestTiesAway) @test_throws DivisionByZeroError dec"1" / dec"0.0" + # divx768 + @with_context (Emax=384, Emin=-383, precision=16, rounding=RoundNearestTiesAway) @test_throws DivisionByZeroError dec"1" / dec"-0.0" + # divx771 + @with_context (Emax=384, Emin=-383, precision=16, rounding=RoundNearestTiesAway) @test dec"0.0" / dec"-1.0" == dec"-0" + # divx772 + @with_context (Emax=384, Emin=-383, precision=16, rounding=RoundNearestTiesAway) @test dec"-0.0" / dec"-1.0" == dec"0" + # divx773 + @with_context (Emax=384, Emin=-383, precision=16, rounding=RoundNearestTiesAway) @test dec"0.0" / dec"1.0" == dec"0" + # divx774 + @with_context (Emax=384, Emin=-383, precision=16, rounding=RoundNearestTiesAway) @test dec"-0.0" / dec"1.0" == dec"-0" + # divx775 + @with_context (Emax=384, Emin=-383, precision=16, rounding=RoundNearestTiesAway) @test_throws DivisionByZeroError dec"-1.0" / dec"0.0" + # divx776 + @with_context (Emax=384, Emin=-383, precision=16, rounding=RoundNearestTiesAway) @test_throws DivisionByZeroError dec"-1.0" / dec"-0.0" + # divx777 + @with_context (Emax=384, Emin=-383, precision=16, rounding=RoundNearestTiesAway) @test_throws DivisionByZeroError dec"1.0" / dec"0.0" + # divx778 + @with_context (Emax=384, Emin=-383, precision=16, rounding=RoundNearestTiesAway) @test_throws DivisionByZeroError dec"1.0" / dec"-0.0" + # divx901 + @with_context (Emax=999999999, Emin=-999999999, precision=16, rounding=RoundNearestTiesAway) @test_throws UndefinedDivisionError dec"0" / dec"0" + # divx902 + @with_context (Emax=999999999, Emin=-999999999, precision=16, rounding=RoundNearestTiesAway) @test_throws UndefinedDivisionError dec"0.0e5" / dec"0" + # divx903 + @with_context (Emax=999999999, Emin=-999999999, precision=16, rounding=RoundNearestTiesAway) @test_throws UndefinedDivisionError dec"0.000" / dec"0" + # divx904 + @with_context (Emax=999999999, Emin=-999999999, precision=16, rounding=RoundNearestTiesAway) @test_throws DivisionByZeroError dec"0.0001" / dec"0" + # divx905 + @with_context (Emax=999999999, Emin=-999999999, precision=16, rounding=RoundNearestTiesAway) @test_throws DivisionByZeroError dec"0.01" / dec"0" + # divx906 + @with_context (Emax=999999999, Emin=-999999999, precision=16, rounding=RoundNearestTiesAway) @test_throws DivisionByZeroError dec"0.1" / dec"0" + # divx907 + @with_context (Emax=999999999, Emin=-999999999, precision=16, rounding=RoundNearestTiesAway) @test_throws DivisionByZeroError dec"1" / dec"0" + # divx908 + @with_context (Emax=999999999, Emin=-999999999, precision=16, rounding=RoundNearestTiesAway) @test_throws DivisionByZeroError dec"1" / dec"0.0" + # divx909 + @with_context (Emax=999999999, Emin=-999999999, precision=16, rounding=RoundNearestTiesAway) @test_throws DivisionByZeroError dec"10" / dec"0.0" + # divx910 + @with_context (Emax=999999999, Emin=-999999999, precision=16, rounding=RoundNearestTiesAway) @test_throws DivisionByZeroError dec"1e+100" / dec"0.0" + # divx911 + @with_context (Emax=999999999, Emin=-999999999, precision=16, rounding=RoundNearestTiesAway) @test_throws DivisionByZeroError dec"1e+1000" / dec"0" + # divx921 + @with_context (Emax=999999999, Emin=-999999999, precision=16, rounding=RoundNearestTiesAway) @test_throws DivisionByZeroError dec"-0.0001" / dec"0" + # divx922 + @with_context (Emax=999999999, Emin=-999999999, precision=16, rounding=RoundNearestTiesAway) @test_throws DivisionByZeroError dec"-0.01" / dec"0" + # divx923 + @with_context (Emax=999999999, Emin=-999999999, precision=16, rounding=RoundNearestTiesAway) @test_throws DivisionByZeroError dec"-0.1" / dec"0" + # divx924 + @with_context (Emax=999999999, Emin=-999999999, precision=16, rounding=RoundNearestTiesAway) @test_throws DivisionByZeroError dec"-1" / dec"0" + # divx925 + @with_context (Emax=999999999, Emin=-999999999, precision=16, rounding=RoundNearestTiesAway) @test_throws DivisionByZeroError dec"-1" / dec"0.0" + # divx926 + @with_context (Emax=999999999, Emin=-999999999, precision=16, rounding=RoundNearestTiesAway) @test_throws DivisionByZeroError dec"-10" / dec"0.0" + # divx927 + @with_context (Emax=999999999, Emin=-999999999, precision=16, rounding=RoundNearestTiesAway) @test_throws DivisionByZeroError dec"-1e+100" / dec"0.0" + # divx928 + @with_context (Emax=999999999, Emin=-999999999, precision=16, rounding=RoundNearestTiesAway) @test_throws DivisionByZeroError dec"-1e+1000" / dec"0" + # divx931 + @with_context (Emax=999999999, Emin=-999999999, precision=16, rounding=RoundNearestTiesAway) @test_throws DivisionByZeroError dec"0.0001" / dec"-0" + # divx932 + @with_context (Emax=999999999, Emin=-999999999, precision=16, rounding=RoundNearestTiesAway) @test_throws DivisionByZeroError dec"0.01" / dec"-0" + # divx933 + @with_context (Emax=999999999, Emin=-999999999, precision=16, rounding=RoundNearestTiesAway) @test_throws DivisionByZeroError dec"0.1" / dec"-0" + # divx934 + @with_context (Emax=999999999, Emin=-999999999, precision=16, rounding=RoundNearestTiesAway) @test_throws DivisionByZeroError dec"1" / dec"-0" + # divx935 + @with_context (Emax=999999999, Emin=-999999999, precision=16, rounding=RoundNearestTiesAway) @test_throws DivisionByZeroError dec"1" / dec"-0.0" + # divx936 + @with_context (Emax=999999999, Emin=-999999999, precision=16, rounding=RoundNearestTiesAway) @test_throws DivisionByZeroError dec"10" / dec"-0.0" + # divx937 + @with_context (Emax=999999999, Emin=-999999999, precision=16, rounding=RoundNearestTiesAway) @test_throws DivisionByZeroError dec"1e+100" / dec"-0.0" + # divx938 + @with_context (Emax=999999999, Emin=-999999999, precision=16, rounding=RoundNearestTiesAway) @test_throws DivisionByZeroError dec"1e+1000" / dec"-0" + # divx941 + @with_context (Emax=999999999, Emin=-999999999, precision=16, rounding=RoundNearestTiesAway) @test_throws DivisionByZeroError dec"-0.0001" / dec"-0" + # divx942 + @with_context (Emax=999999999, Emin=-999999999, precision=16, rounding=RoundNearestTiesAway) @test_throws DivisionByZeroError dec"-0.01" / dec"-0" + # divx943 + @with_context (Emax=999999999, Emin=-999999999, precision=16, rounding=RoundNearestTiesAway) @test_throws DivisionByZeroError dec"-0.1" / dec"-0" + # divx944 + @with_context (Emax=999999999, Emin=-999999999, precision=16, rounding=RoundNearestTiesAway) @test_throws DivisionByZeroError dec"-1" / dec"-0" + # divx945 + @with_context (Emax=999999999, Emin=-999999999, precision=16, rounding=RoundNearestTiesAway) @test_throws DivisionByZeroError dec"-1" / dec"-0.0" + # divx946 + @with_context (Emax=999999999, Emin=-999999999, precision=16, rounding=RoundNearestTiesAway) @test_throws DivisionByZeroError dec"-10" / dec"-0.0" + # divx947 + @with_context (Emax=999999999, Emin=-999999999, precision=16, rounding=RoundNearestTiesAway) @test_throws DivisionByZeroError dec"-1e+100" / dec"-0.0" + # divx948 + @with_context (Emax=999999999, Emin=-999999999, precision=16, rounding=RoundNearestTiesAway) @test_throws DivisionByZeroError dec"-1e+1000" / dec"-0" + # divx951 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test_throws OverflowError dec"9e+999999999" / dec"+0.23456789012345e-0" + # divx952 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"+0.100" / dec"9e+999999999" == dec"1.111111e-1000000001" + # divx953 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"9e-999999999" / dec"+9.100" == dec"9.8901099e-1000000000" + # divx954 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"-1.23456789" / dec"9e+999999999" == dec"-1.3717421e-1000000000" + # divx955 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"-1.23456789012345e-0" / dec"9e+999999999" == dec"-1.3717421e-1000000000" + # divx956 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"-1.23456789012345e-0" / dec"7e+999999999" == dec"-1.7636684e-1000000000" + # divx957 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test_throws OverflowError dec"9e+999999999" / dec"-0.83456789012345e-0" + # divx958 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"-0.100" / dec"9e+999999999" == dec"-1.111111e-1000000001" + # divx959 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"9e-999999999" / dec"-9.100" == dec"-9.8901099e-1000000000" + # divx960 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"1e-600000000" / dec"1e+400000001" == dec"1e-1000000001" + # divx961 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"1e-600000000" / dec"1e+400000002" == dec"1e-1000000002" + # divx962 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"1e-600000000" / dec"1e+400000003" == dec"1e-1000000003" + # divx963 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"1e-600000000" / dec"1e+400000004" == dec"1e-1000000004" + # divx964 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"1e-600000000" / dec"1e+400000005" == dec"1e-1000000005" + # divx965 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"1e-600000000" / dec"1e+400000006" == dec"1e-1000000006" + # divx966 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"1e-600000000" / dec"1e+400000007" == dec"1e-1000000007" + # divx967 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"1e-600000000" / dec"1e+400000008" == dec"0e-1000000007" + # divx968 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"1e-600000000" / dec"1e+400000009" == dec"0e-1000000007" + # divx969 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"1e-600000000" / dec"1e+400000010" == dec"0e-1000000007" + # divx970 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test_throws OverflowError dec"1e+600000000" / dec"1e-400000001" + # divx971 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test_throws OverflowError dec"1e+600000000" / dec"1e-400000002" + # divx972 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test_throws OverflowError dec"1e+600000000" / dec"1e-400000003" + # divx973 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test_throws OverflowError dec"1e+600000000" / dec"1e-400000004" + # divx974 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test_throws OverflowError dec"1e+600000000" / dec"1e-400000005" + # divx975 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test_throws OverflowError dec"1e+600000000" / dec"1e-400000006" + # divx976 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test_throws OverflowError dec"1e+600000000" / dec"1e-400000007" + # divx977 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test_throws OverflowError dec"1e+600000000" / dec"1e-400000008" + # divx978 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test_throws OverflowError dec"1e+600000000" / dec"1e-400000009" + # divx979 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test_throws OverflowError dec"1e+600000000" / dec"1e-400000010" + # divx980 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"1e-600000000" / dec"1e+400000009" == dec"0e-1000000007" + # divx981 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"1e-600000000" / dec"-1e+400000009" == dec"-0e-1000000007" + # divx982 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"-1e-600000000" / dec"1e+400000009" == dec"-0e-1000000007" + # divx983 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test dec"-1e-600000000" / dec"-1e+400000009" == dec"0e-1000000007" + # divx984 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test_throws OverflowError dec"1e+600000000" / dec"1e-400000009" + # divx985 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test_throws OverflowError dec"1e+600000000" / dec"-1e-400000009" + # divx986 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test_throws OverflowError dec"-1e+600000000" / dec"1e-400000009" + # divx987 + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test_throws OverflowError dec"-1e+600000000" / dec"-1e-400000009" + # divx990 + @with_context (Emax=999999999, Emin=-999999999, precision=3, rounding=RoundNearestTiesAway) @test_throws OverflowError dec"1000" / dec"9.999e-999999999" + # divx991 + @with_context (Emax=999999999, Emin=-999999999, precision=3, rounding=RoundNearestTiesAway) @test_throws OverflowError dec"1000" / dec"-9.999e-999999999" + # divx992 + @with_context (Emax=999999999, Emin=-999999999, precision=3, rounding=RoundNearestTiesAway) @test_throws OverflowError dec"9.999e+999999999" / dec"0.01" + # divx993 + @with_context (Emax=999999999, Emin=-999999999, precision=3, rounding=RoundNearestTiesAway) @test_throws OverflowError dec"-9.999e+999999999" / dec"0.01" + # divx1001 + @with_context (Emax=79, Emin=-79, precision=5, rounding=RoundNearestTiesAway) @test dec"1.52444e-80" / dec"1" == dec"1.524e-80" + # divx1002 + @with_context (Emax=79, Emin=-79, precision=5, rounding=RoundNearestTiesAway) @test dec"1.52445e-80" / dec"1" == dec"1.524e-80" + # divx1003 + @with_context (Emax=79, Emin=-79, precision=5, rounding=RoundNearestTiesAway) @test dec"1.52446e-80" / dec"1" == dec"1.524e-80" + # divx1010 + @with_context (Emax=6144, Emin=-6143, precision=34, rounding=RoundNearestTiesAway) @test_throws OverflowError dec"343e6000" / dec"234e-1000" + # divx1021 + @with_context (Emax=6144, Emin=-6143, precision=7, rounding=RoundNearestTiesAway) @test dec"1e0" / dec"1e0" == dec"1" + # divx1022 + @with_context (Emax=6144, Emin=-6143, precision=7, rounding=RoundNearestTiesAway) @test dec"1e0" / dec"2e0" == dec"0.5" + # divx1023 + @with_context (Emax=6144, Emin=-6143, precision=7, rounding=RoundNearestTiesAway) @test dec"1e0" / dec"3e0" == dec"0.3333333" + # divx1024 + @with_context (Emax=6144, Emin=-6143, precision=7, rounding=RoundNearestTiesAway) @test dec"100e-2" / dec"1000e-3" == dec"1" + # divx1025 + @with_context (Emax=6144, Emin=-6143, precision=7, rounding=RoundNearestTiesAway) @test dec"24e-1" / dec"2e0" == dec"1.2" + # divx1026 + @with_context (Emax=6144, Emin=-6143, precision=7, rounding=RoundNearestTiesAway) @test dec"2400e-3" / dec"2e0" == dec"1.200" + # divx1027 + @with_context (Emax=6144, Emin=-6143, precision=7, rounding=RoundNearestTiesAway) @test dec"5e0" / dec"2e0" == dec"2.5" + # divx1028 + @with_context (Emax=6144, Emin=-6143, precision=7, rounding=RoundNearestTiesAway) @test dec"5e0" / dec"20e-1" == dec"2.5" + # divx1029 + @with_context (Emax=6144, Emin=-6143, precision=7, rounding=RoundNearestTiesAway) @test dec"5e0" / dec"2000e-3" == dec"2.5" + # divx1030 + @with_context (Emax=6144, Emin=-6143, precision=7, rounding=RoundNearestTiesAway) @test dec"5e0" / dec"2e-1" == dec"25" + # divx1031 + @with_context (Emax=6144, Emin=-6143, precision=7, rounding=RoundNearestTiesAway) @test dec"5e0" / dec"20e-2" == dec"25" + # divx1032 + @with_context (Emax=6144, Emin=-6143, precision=7, rounding=RoundNearestTiesAway) @test dec"480e-2" / dec"3e0" == dec"1.60" + # divx1033 + @with_context (Emax=6144, Emin=-6143, precision=7, rounding=RoundNearestTiesAway) @test dec"47e-1" / dec"2e0" == dec"2.35" + # divx1051 + @with_context (Emax=6144, Emin=-6143, precision=7, rounding=RoundNearest) @test dec"5" / dec"11" == dec"0.4545455" +end diff --git a/test/runtests.jl b/test/runtests.jl index 6a1e3a3..e8a1560 100644 --- a/test/runtests.jl +++ b/test/runtests.jl @@ -24,14 +24,17 @@ include("test_parse.jl") include("test_round.jl") include("test_show.jl") -include("dectests/test_abs.jl") -include("dectests/test_add.jl") -include("dectests/test_compare.jl") -include("dectests/test_max.jl") -include("dectests/test_min.jl") -include("dectests/test_minus.jl") -include("dectests/test_multiply.jl") -include("dectests/test_plus.jl") -include("dectests/test_subtract.jl") +@testset "DecTests" begin + include("dectests/test_abs.jl") + include("dectests/test_add.jl") + include("dectests/test_compare.jl") + include("dectests/test_divide.jl") + include("dectests/test_max.jl") + include("dectests/test_min.jl") + include("dectests/test_minus.jl") + include("dectests/test_multiply.jl") + include("dectests/test_plus.jl") + include("dectests/test_subtract.jl") +end end diff --git a/test/test_arithmetic.jl b/test/test_arithmetic.jl index 7c7fa71..5c8e284 100644 --- a/test/test_arithmetic.jl +++ b/test/test_arithmetic.jl @@ -1,4 +1,5 @@ using Decimals +using Decimals: @with_context using Test @testset "Arithmetic" begin @@ -39,15 +40,72 @@ end end @testset "Inversion" begin - @test inv(Decimal(false, 1, -1)) == Decimal(false, 1, 1) - @test inv(Decimal(false, 1, 1)) == Decimal(false, 1, -1) - @test inv(Decimal(true, 2, -1)) == Decimal(true, 5, 0) - @test inv(Decimal(true, 5, 0)) == Decimal(true, 2, -1) - @test inv(Decimal(false, 2, -2)) == Decimal(false, 5, 1) - @test inv(Decimal(false, 5, 1)) == Decimal(false, 2, -2) - @test inv(Decimal(true, 4, -1)) == Decimal(true, 25, -1) - @test inv(Decimal(true, 25, -1)) == Decimal(true, 4, -1) - @test inv(Decimal(false, 123, -1)) == Decimal(false, 813008130081300813, -19) # 1/12.3 ≈ 0.08 + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test inv(dec"1") == dec"1" + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test inv(dec"2") == dec"0.5" + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test inv(dec"3") == dec"0.333333333" + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test inv(dec"2") == dec"0.5" + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test inv(dec"4") == dec"0.25" + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test inv(dec"8") == dec"0.125" + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test inv(dec"16") == dec"0.0625" + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test inv(dec"32") == dec"0.03125" + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test inv(dec"64") == dec"0.015625" + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test inv(dec"-2") == dec"-0.5" + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test inv(dec"-4") == dec"-0.25" + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test inv(dec"-8") == dec"-0.125" + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test inv(dec"-16") == dec"-0.0625" + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test inv(dec"-32") == dec"-0.03125" + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test inv(dec"-64") == dec"-0.015625" + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test inv(dec"1e-8") == dec"1e+8" + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test inv(dec"1e-9") == dec"1e+9" + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test inv(dec"1e-10") == dec"1e+10" + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test inv(dec"1e-11") == dec"1e+11" + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test inv(dec"1e-12") == dec"1e+12" + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test inv(dec"1") == dec"1" + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test inv(dec"2") == dec"0.5" + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test inv(dec"3") == dec"0.333333333" + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test inv(dec"4") == dec"0.25" + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test inv(dec"5") == dec"0.2" + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test inv(dec"6") == dec"0.166666667" + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test inv(dec"7") == dec"0.142857143" + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test inv(dec"8") == dec"0.125" + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test inv(dec"9") == dec"0.111111111" + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test inv(dec"10") == dec"0.1" + @with_context (Emax=384, Emin=-383, precision=9, rounding=RoundNearestTiesAway) @test inv(dec"1") == dec"1" + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test inv(dec"1e999999999") == dec"1e-999999999" + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test inv(dec"0.9e999999999") == dec"1.11111111e-999999999" + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test inv(dec"0.99e999999999") == dec"1.01010101e-999999999" + @with_context (Emax=999999999, Emin=-999999999, precision=9, rounding=RoundNearestTiesAway) @test inv(dec"0.999999999e999999999") == dec"1.00000000e-999999999" + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test inv(dec"12345678000") == dec"8.10000066e-11" + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test inv(dec"1234567800") == dec"8.10000066e-10" + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test inv(dec"1234567890") == dec"8.10000007e-10" + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test inv(dec"1234567891") == dec"8.10000007e-10" + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test inv(dec"12345678901") == dec"8.10000007e-11" + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test inv(dec"1234567896") == dec"8.10000003e-10" + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test inv(dec"1234567897") == dec"8.10000003e-10" + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test inv(dec"1234567898") == dec"8.10000002e-10" + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test inv(dec"1234567899") == dec"8.10000001e-10" + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test inv(dec"1234567900") == dec"8.10000001e-10" + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test inv(dec"1234567901") == dec"8.10000000e-10" + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test inv(dec"1234567902") == dec"8.09999999e-10" + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test inv(dec"1234567896.000000000000") == dec"8.10000003e-10" + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test inv(dec"1234567896.000000000001") == dec"8.10000003e-10" + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test inv(dec"1234567896.000000000000000000000000000000000000000009") == dec"8.10000003e-10" + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test inv(dec"1234567897.900010000000000000000000000000000000000009") == dec"8.10000002e-10" + @with_context (Emax=999, Emin=-999, precision=15, rounding=RoundNearestTiesAway) @test inv(dec"12345678000") == dec"8.10000066420005e-11" + @with_context (Emax=999, Emin=-999, precision=15, rounding=RoundNearestTiesAway) @test inv(dec"1234567800") == dec"8.10000066420005e-10" + @with_context (Emax=999, Emin=-999, precision=15, rounding=RoundNearestTiesAway) @test inv(dec"1234567890") == dec"8.10000007371000e-10" + @with_context (Emax=999, Emin=-999, precision=15, rounding=RoundNearestTiesAway) @test inv(dec"1234567891") == dec"8.10000006714900e-10" + @with_context (Emax=999, Emin=-999, precision=15, rounding=RoundNearestTiesAway) @test inv(dec"12345678901") == dec"8.10000007305390e-11" + @with_context (Emax=999, Emin=-999, precision=15, rounding=RoundNearestTiesAway) @test inv(dec"1234567896") == dec"8.10000003434400e-10" + @with_context (Emax=999, Emin=-999, precision=15, rounding=RoundNearestTiesAway) @test inv(dec"1.0e+33") == dec"1e-33" + @with_context (Emax=999, Emin=-999, precision=15, rounding=RoundNearestTiesAway) @test inv(dec"10e+33") == dec"1e-34" + @with_context (Emax=999, Emin=-999, precision=15, rounding=RoundNearestTiesAway) @test inv(dec"1.0e-33") == dec"1e+33" + @with_context (Emax=999, Emin=-999, precision=15, rounding=RoundNearestTiesAway) @test inv(dec"10e-33") == dec"1e+32" + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test inv(dec"9.9") == dec"0.101010101" + @with_context (Emax=999, Emin=-999, precision=8, rounding=RoundNearestTiesAway) @test inv(dec"9.9") == dec"0.10101010" + @with_context (Emax=999, Emin=-999, precision=7, rounding=RoundNearestTiesAway) @test inv(dec"9.9") == dec"0.1010101" + @with_context (Emax=999, Emin=-999, precision=6, rounding=RoundNearestTiesAway) @test inv(dec"9.9") == dec"0.101010" + @with_context (Emax=999, Emin=-999, precision=9, rounding=RoundNearestTiesAway) @test inv(dec"2") == dec"0.5" end @testset "Division" begin