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Fix complex - rational docs #56772

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Fix complex - rational docs #56772

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Update complex-and-rational-numbers.md
Priynsh Dec 7, 2024
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Update complex-and-rational-numbers.md
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Update doc/src/manual/complex-and-rational-numbers.md
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18 changes: 17 additions & 1 deletion doc/src/manual/complex-and-rational-numbers.md
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Expand Up @@ -254,13 +254,29 @@ julia> float(3//4)
```

Conversion from rational to floating-point respects the following identity for any integral values
of `a` and `b`, with the exception of the two cases `b == 0` and `a == 0 && b < 0`:
of `a` and `b`, with the exception of the two cases `a==0 && b==0` and `a==0 && b < 0`:
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```jldoctest
julia> a = 1; b = 2;

julia> isequal(float(a//b), a/b)
true
julia> a, b = 0, 0
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(0, 0)

julia> float(a//b)
ERROR: ArgumentError: invalid rational: zero(Int64)//zero(Int64)
Stacktrace:
[...]

julia> a/b
NaN

julia> a, b = 0, -1
(0, -1)

julia> float(a//b), a/b
(0.0, -0.0)
```

Constructing infinite rational values is acceptable:
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