local RESERVED_LUA_WORDS = {
    ['and']      = true,
    ['break']    = true,
    ['do']       = true,
    ['else']     = true,
    ['elseif']   = true,
    ['end']      = true,
    ['false']    = true,
    ['for']      = true,
    ['function'] = true,
    ['if']       = true,
    ['in']       = true,
    ['local']    = true,
    ['nil']      = true,
    ['not']      = true,
    ['or']       = true,
    ['repeat']   = true,
    ['return']   = true,
    ['then']     = true,
    ['true']     = true,
    ['until']    = true,
    ['while']    = true,
    ['goto']     = true,
}

--------------------------------------------------------------------------------

local function is_identifier(str)
    -- An identier is defined in the lua reference guide

    return str:match('^[_%a][_%w]*$') and not RESERVED_LUA_WORDS[str]
end

local function get_key_types (t)
	local types = { nr_types = -1 }
	for key, _ in pairs(t) do
		types[type(key)] = true
	end
	--
	for type_name, _ in pairs(types) do
        types.nr_types = types.nr_types + 1
	end
	return types
end

local function get_value_types (t)
    local types = { nr_types = -1 }
	for _, value in pairs(t) do
		types[type(value)] = true
	end
	--
	for type_name, _ in pairs(types) do
        types.nr_types = types.nr_types + 1
	end
	return types
end


local function largest_number_index (t)
	-- Returns the largest number index in t.

	local max_index = 0
	for k,v in pairs(t) do
		if type(k) == 'number' then
            max_index = math.max(max_index, k)
        end
	end
	return max_index
end

--------------------------------------------------------------------------------

local function contains_only_nice_string_keys (t)
	-- Predicate: Does t contain only string keys which could be used as
	-- identifiers, eg.

    for k, _ in pairs(t) do
        if type(k) ~= 'string' or not is_identifier(k) then
            return false
        end
    end
    return true
end

local function contains_only_nice_number_indexes (t)
	-- Predicate: Does t contain only number keys, all of which are integer,
	-- larger than/equal 1 and less than the maximum index.

    local max_index  =  largest_number_index(t)
    for k, v in pairs(t) do
        if type(k) ~= 'number' or k < 1 or max_index < k or k ~= math.floor(k) then
            return false
        end
    end

    return #t > 0
end

local function is_set (t)
    -- Predicate: Does t contain only boolean values.
    local value_types = get_value_types(t)
    return value_types.boolean and value_types.nr_types == 1
end

local function is_tabular (t)
    -- Predicate: Does t contain sub-tables with identical substructure.

    -- Quick return if table is empty, or not conctaining only values of type table.
    local value_types = get_value_types(t)
    if not value_types.table or value_types.nr_types ~= 1 then
        return false
    end

    -- Determine keys of first child.
    local children_keys = {}
    for key, _ in pairs(t[next(t)]) do
        children_keys[key] = true
    end

    -- Make sure every other child has exact same sub-structure.
    for _, child in pairs(t) do
        for key, _ in pairs(children_keys) do
            if not child[key] then  return false  end
        end
        for key, _ in pairs(child) do
            if not children_keys[key] then  return false  end
        end
    end

    return true
end

--------------------------------------------------------------------------------

local function get_table_info (t)
	local key_types = get_key_types(t)

	local info = {}
	      info.has_seq     = (#t > 0)
	      info.has_map     = key_types.nr_types > (key_types.number and 1 or 0)
          info.is_set      = is_set(t)
          info.is_tabular  = is_tabular(t)

    -- Determine type of table
	if not info.has_seq and not info.has_map  then  info.type = 'empty'
	elseif info.has_seq and not info.has_map  then  info.type = 'sequence'
    elseif info.is_set                        then  info.type = 'set'
    elseif info.has_seq                       then  info.type = 'mixed'
  	elseif contains_only_nice_string_keys(t)  then  info.type = 'string_map'
    else                                            info.type = 'pure_map'
  	end

	return info
end

--------------------------------------------------------------------------------

local function visit_table (t, info, visited)

    -- Who've been visited? Bookkeeping
    visited[t] = (visited[t] or 0) + 1
    if visited[t] == 2 then
        info[t].marker, info.next_mark = info.next_mark, info.next_mark + 1
    end
    if visited[t] >= 2 then  return  end

    -- Get table info
    info[t] = get_table_info(t)

    -- Visit children.
    for k,v in pairs(t) do
        if type(k) == 'table' then visit_table(k, info, visited) end
        if type(v) == 'table' then visit_table(v, info, visited) end
    end
end

local function analyze_structure (t)
    local info, visited = { root = t, next_mark = 1 }, {}
    visit_table(t, info, visited)
    info.next_mark = nil
    return info
end

--------------------------------------------------------------------------------

return analyze_structure