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--- @class AbsExpression
--- The absolute value of an expression.
--- @field expression Expression
AbsExpression = {}
__AbsExpression = {}
----------------------------
-- Instance functionality --
----------------------------
--- Creates a new absolute value expression with the given expression.
--- @param expression Expression
--- @return AbsExpression
function AbsExpression:new(expression)
local o = {}
local __o = Copy(__ExpressionOperations)
o.expression = expression
__o.__index = AbsExpression
__o.__tostring = function(a)
return '|' .. tostring(a.expression) .. '|'
end
o = setmetatable(o, __o)
return o
end
--- @return Expression
function AbsExpression:evaluate()
if self.expression:isconstant() then
if self.expression >= Integer.zero() then
return self.expression
end
return -self.expression
end
return self
end
--- @return Expression
function AbsExpression:autosimplify()
return AbsExpression(self.expression:autosimplify()):evaluate()
end
--- @return table<number, Expression>
function AbsExpression:subexpressions()
return {self.expression}
end
--- @param subexpressions table<number, Expression>
--- @return AbsExpression
function AbsExpression:setsubexpressions(subexpressions)
return AbsExpression(subexpressions[1])
end
--- @param other Expression
--- @return boolean
function AbsExpression:order(other)
return FunctionExpression("abs", self.expression):order(other)
end
--- @return string
function AbsExpression:tolatex()
return "\\left|" .. self.expression:tolatex() .. "\\right|"
end
-----------------
-- Inheritance --
-----------------
__AbsExpression.__index = CompoundExpression
__AbsExpression.__call = AbsExpression.new
AbsExpression = setmetatable(AbsExpression, __AbsExpression)
----------------------
-- Static constants --
----------------------
ABS = function (a)
return AbsExpression(a)
end
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