feat(extra): replace parse_lean_tpl with improved parse_template, that is based on macros
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
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3 changed files with 47 additions and 53 deletions
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-- Parse a template expression string 'str'.
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-- The string 'str' contains placeholders of the form 'a::i', where 'i' is a numeral.
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-- The placeholders are replaced with values from the array 'args'.
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-- See 'test' function for an example.
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function parse_lean_tpl(str, args, env, opts, fmt)
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assert(type(str) == "string")
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assert(type(args) == "table")
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assert(env == nil or is_environment(env))
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if #args == 0 then
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return parse_lean(str, env, opts, fmt)
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else
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-- Create the string "fun (a::1 : type-of-args[1]) ... (a::n : type-of-args[n]), $str",
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-- where n is the size of args
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local tbl = {"fun"}
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for i = 1, #args do
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table.insert(tbl, " (a::")
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table.insert(tbl, i)
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table.insert(tbl, " : ")
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table.insert(tbl, tostring(env:infer_type(args[i])))
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table.insert(tbl, ")")
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end
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table.insert(tbl, ", ")
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table.insert(tbl, str)
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local new_str = table.concat(tbl)
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local r = parse_lean(new_str, env, opts, fmt)
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for i = 1, #args do
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assert(r:is_lambda())
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local n, d, body = r:fields()
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r = body:instantiate(args[i])
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end
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return r
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end
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end
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local test = function()
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local env = environment()
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-- Load environment with some definitions
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parse_lean_cmds([[
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Variables a b : Real
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Variable f : Real -> Real
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Variable g : Real -> Real -> Real
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]], env)
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local a, b, g = Consts("a, b, g")
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local t1 = parse_lean_tpl("a::1 + (f a::2) - 10 + a::2", {a, g(b, a)}, env)
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print(t1)
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local t2 = parse_lean_tpl("f (a::1 + 1)", {g(b, b)}, env)
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print(t2)
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end
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if not pcall(debug.getlocal, 4, 1) then
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-- Main file
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test()
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end
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31
src/extra/template.lua
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31
src/extra/template.lua
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-- Parse a template expression string 'str'.
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-- The string 'str' may contain placeholders of the form '% i', where 'i' is a numeral.
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-- The placeholders are replaced with values from the array 'arg_array'.
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local arg_array = {}
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-- We implement this feature using macros available in Lean.
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macro("%",
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{ macro_arg.Int },
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function (env, i)
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if i <= 0 then
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error("invalid template argument reference %" .. i .. ", first argument is 1")
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elseif i > #arg_array then
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error("invalid template argument reference %" .. i .. ", only " .. tostring(#arg_array) .. " argument(s) were provided")
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else
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return arg_array[i]
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end
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end
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)
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-- Parse a template.
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-- Example:
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-- r = parse_template("%1 + %2 + %1", {Const("a"), Const("b")})
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-- print(r)
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-- >> a + b + a
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function parse_template(str, args, env, opts, fmt)
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assert(type(str) == "string")
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assert(type(args) == "table")
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assert(env == nil or is_environment(env))
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arg_array = args
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return parse_lean(str, env, opts, fmt)
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end
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16
tests/lua/template1.lua
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16
tests/lua/template1.lua
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import("template.lua")
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local env = environment()
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parse_lean_cmds([[
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Variables a b c : Int
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Variables f : Int -> Int
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]], env)
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local a, b, c = Consts("a, b, c")
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print(parse_template("%1 + f %2 + %1 + %1", {a, b}, env))
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assert(tostring(parse_template("%1 + f %2 + %1 + %1", {a, b}, env)) == "Int::add (Int::add (Int::add a (f b)) a) a")
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assert(not pcall(function() print(parse_template("%1 + f %2 + %1 + %1", {a}, env)) end))
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print(parse_template("%1 + f %2 + %3 + f (f %1)", {a, b, c}, env))
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print(parse_template("%1 + f %2 + 10 + f (f %1)", {a, b, c}, env))
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assert(tostring(parse_template("%1 + f %2 + 10 + f (f %1)", {a, b, c}, env)) == "Int::add (Int::add (Int::add a (f b)) (nat_to_int 10)) (f (f a))")
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set_formatter(lean_formatter(env))
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print(parse_template("%1 + f %2 + %3 + f (f %1)", {a, b, c}, env))
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assert(tostring(parse_template("%1 + f %2 + %3 + f (f %1)", {a, b, c}, env)) == "a + f b + c + f (f a)")
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