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lib/archethic/contracts/interpreter/library/common/math.ex
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defmodule Archethic.Contracts.Interpreter.Library.Common.Math do | ||
@moduledoc false | ||
@behaviour Archethic.Contracts.Interpreter.Library | ||
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alias Archethic.Tag | ||
alias Archethic.Contracts.Interpreter.ASTHelper, as: AST | ||
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use Tag | ||
import Bitwise | ||
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@one Decimal.new(1) | ||
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@spec trunc(num :: number()) :: integer() | ||
def trunc(num) when is_integer(num), do: num | ||
def trunc(num) when is_float(num), do: Kernel.trunc(num) | ||
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@doc """ | ||
## Example | ||
iex> Math.pow(2, 3) | ||
8 | ||
iex> Math.pow(-2, 3) | ||
-8 | ||
iex> Math.pow(2, -3) | ||
0.125 | ||
iex> Math.pow(1.7, 8) | ||
69.75757441 | ||
iex> Math.pow(2, 0) | ||
1 | ||
iex> Math.pow(6, 1) | ||
6 | ||
""" | ||
@spec pow(num :: number(), exp :: number()) :: number() | ||
def pow(num, 0) when is_number(num), do: 1 | ||
def pow(num, 1) when is_number(num), do: num | ||
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def pow(num, exp) when is_number(num) and is_integer(exp) and exp > 1 do | ||
dec_num = to_decimal(num) | ||
res = pow(@one, dec_num, exp) | ||
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to_number(res, is_integer(num)) | ||
end | ||
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def pow(num, exp) when is_number(num) and is_integer(exp) and exp < 0 do | ||
dec_num = to_decimal(num) | ||
res = Decimal.div(@one, pow(@one, dec_num, -exp)) | ||
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to_number(res, is_integer(num)) | ||
end | ||
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defp pow(result, num, exp) when exp < 2 do | ||
Decimal.mult(result, num) | ||
end | ||
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defp pow(result, num, exp) when (exp &&& 1) == 0 do | ||
pow(result, Decimal.mult(num, num), exp >>> 1) | ||
end | ||
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defp pow(result, num, exp) when (exp &&& 1) == 1 do | ||
pow(Decimal.mult(result, num), Decimal.mult(num, num), exp >>> 1) | ||
end | ||
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@doc """ | ||
## Examples | ||
iex> Math.sqrt(0) | ||
0 | ||
iex> Math.sqrt(-0) | ||
-0 | ||
iex> Math.sqrt(0.39) | ||
0.62449979 | ||
iex> Math.sqrt(100) | ||
10 | ||
iex> Math.sqrt(1) | ||
1 | ||
iex> Math.sqrt(1.0) | ||
1.0 | ||
iex> Math.sqrt(1.00) | ||
1.0 | ||
iex> Math.sqrt(7) | ||
2.64575131 | ||
""" | ||
@spec sqrt(num :: number()) :: number() | ||
def sqrt(num) when is_number(num) do | ||
res = to_decimal(num) |> Decimal.sqrt() | ||
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to_number(res, is_integer(num)) | ||
end | ||
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@doc """ | ||
## Example | ||
iex> Math.rem(2.1, 3) | ||
2.1 | ||
iex> Math.rem(10, 3) | ||
1 | ||
iex> Math.rem(-10, 3) | ||
-1 | ||
iex> Math.rem(10.2, 1) | ||
0.2 | ||
iex> Math.rem(10, 0.3) | ||
0.1 | ||
iex> Math.rem(3.6, 1.3) | ||
1.0 | ||
""" | ||
@spec rem(num1 :: number(), num2 :: number()) :: number() | ||
def rem(num1, num2) when is_number(num1) and is_number(num2) do | ||
dec_num1 = to_decimal(num1) | ||
dec_num2 = to_decimal(num2) | ||
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res = Decimal.rem(dec_num1, dec_num2) | ||
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to_number(res, is_integer(num1) and is_integer(num2)) | ||
end | ||
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@spec check_types(atom(), list()) :: boolean() | ||
def check_types(:trunc, [first]) do | ||
AST.is_number?(first) || AST.is_variable_or_function_call?(first) | ||
end | ||
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def check_types(:sqrt, [first]) do | ||
AST.is_number?(first) || AST.is_variable_or_function_call?(first) | ||
end | ||
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def check_types(:pow, [first, second]) do | ||
(AST.is_number?(first) || AST.is_variable_or_function_call?(first)) && | ||
(AST.is_number?(second) || AST.is_variable_or_function_call?(second)) | ||
end | ||
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def check_types(:rem, [first, second]) do | ||
(AST.is_number?(first) || AST.is_variable_or_function_call?(first)) && | ||
(AST.is_number?(second) || AST.is_variable_or_function_call?(second)) | ||
end | ||
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def check_types(_, _), do: false | ||
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defp to_decimal(num) when is_integer(num), do: Decimal.new(num) | ||
defp to_decimal(num) when is_float(num), do: Decimal.from_float(num) | ||
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defp to_number(dec_num, to_int?) do | ||
res = if Decimal.integer?(dec_num), do: dec_num, else: Decimal.round(dec_num, 8, :floor) | ||
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if to_int? and Decimal.integer?(res), | ||
do: Decimal.to_integer(res), | ||
else: Decimal.to_float(res) | ||
end | ||
end |
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test/archethic/contracts/interpreter/library/common/math_test.exs
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defmodule Archethic.Contracts.Interpreter.Library.Common.MathTest do | ||
use ArchethicCase | ||
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alias Archethic.Contracts.Interpreter.Library.Common.Math | ||
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doctest Math | ||
end |