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A fast, easy to use and 100% conformant Elixir library for Google Protocol Buffers (aka protobuf)
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lib/protox/float.ex
defmodule Protox.Float do
@moduledoc false
defmacro __using__(_) do
quote do
# IEEE 754-1985
#
# * 32 bits
# [0 - 22] -> fraction ( 23 bits )
# [23 - 30] -> exponent ( 8 bits )
# [31 - 31] -> sign ( 1 bit )
#
# * 64 bits
# [0 - 51] -> fraction ( 52 bits )
# [52 - 62] -> exponent ( 11 bits )
# [63 - 63] -> sign ( 1 bit )
#
# * Positive and negative infinity
# sign -> 0 for positive infinity, 1 for negative infinity.
# exponent -> all bits set to 1
# fraction -> all bits set to 0
#
# * NaN
# sign -> 0 or 1
# exponent -> all bits set to 1
# fraction -> anything except all bits set to 0
#
# * Protobuf uses little-endian
@positive_infinity_64 <<0, 0, 0, 0, 0, 0, 0xF0, 0x7F>>
@negative_infinity_64 <<0, 0, 0, 0, 0, 0, 0xF0, 0xFF>>
@nan_64 <<1::48, 0b1111::4, 1::4, 1::1, 0b1111111::7>>
@min_double Protox.Float.min_double()
@max_double Protox.Float.max_double()
@positive_infinity_32 <<0, 0, 0x80, 0x7F>>
@negative_infinity_32 <<0, 0, 0x80, 0xFF>>
@nan_32 <<1::16, 1::1, 1::7, 1::1, 0b1111111::7>>
@min_float Protox.Float.min_float()
@max_float Protox.Float.max_float()
end
end
def min_float() do
<<value::float-big-32>> = <<0b11111111011111111111111111111111::32>>
value
end
def max_float() do
<<value::float-big-32>> = <<0b01111111011111111111111111111111::32>>
value
end
def min_double() do
<<value::float-big-64>> =
<<0b1111111111101111111111111111111111111111111111111111111111111111::64>>
value
end
def max_double() do
<<value::float-big-64>> =
<<0b0111111111101111111111111111111111111111111111111111111111111111::64>>
value
end
end