diff options
Diffstat (limited to 'lib')
| -rw-r--r-- | lib/compiler/src/Makefile | 7 | ||||
| -rw-r--r-- | lib/compiler/src/beam_call_types.erl | 509 | ||||
| -rw-r--r-- | lib/compiler/src/beam_ssa_bsm.erl | 4 | ||||
| -rw-r--r-- | lib/compiler/src/beam_ssa_type.erl | 1024 | ||||
| -rw-r--r-- | lib/compiler/src/beam_types.erl | 382 | ||||
| -rw-r--r-- | lib/compiler/src/beam_types.hrl | 72 | ||||
| -rw-r--r-- | lib/compiler/src/beam_validator.erl | 1280 | ||||
| -rw-r--r-- | lib/compiler/src/compile.erl | 2 | ||||
| -rw-r--r-- | lib/compiler/src/compiler.app.src | 2 | ||||
| -rw-r--r-- | lib/compiler/test/Makefile | 3 | ||||
| -rw-r--r-- | lib/compiler/test/beam_types_SUITE.erl | 80 | ||||
| -rw-r--r-- | lib/compiler/test/beam_validator_SUITE.erl | 6 | ||||
| -rw-r--r-- | lib/compiler/test/property_test/beam_types_prop.erl | 140 |
13 files changed, 1739 insertions, 1772 deletions
diff --git a/lib/compiler/src/Makefile b/lib/compiler/src/Makefile index 0c1dc30f9c..f253f31d13 100644 --- a/lib/compiler/src/Makefile +++ b/lib/compiler/src/Makefile @@ -49,6 +49,7 @@ MODULES = \ beam_a \ beam_asm \ beam_block \ + beam_call_types \ beam_clean \ beam_dict \ beam_disasm \ @@ -71,6 +72,7 @@ MODULES = \ beam_ssa_type \ beam_kernel_to_ssa \ beam_trim \ + beam_types \ beam_utils \ beam_validator \ beam_z \ @@ -103,6 +105,7 @@ HRL_FILES= \ beam_disasm.hrl \ beam_ssa_opt.hrl \ beam_ssa.hrl \ + beam_types.hrl \ core_parse.hrl \ v3_kernel.hrl @@ -189,6 +192,7 @@ release_docs_spec: # Dependencies -- alphabetically, please # ---------------------------------------------------- +$(EBIN)/beam_call_types.beam: beam_types.hrl $(EBIN)/beam_disasm.beam: $(EGEN)/beam_opcodes.hrl beam_disasm.hrl $(EBIN)/beam_listing.beam: core_parse.hrl v3_kernel.hrl beam_ssa.hrl $(EBIN)/beam_kernel_to_ssa.beam: v3_kernel.hrl beam_ssa.hrl @@ -203,7 +207,8 @@ $(EBIN)/beam_ssa_pp.beam: beam_ssa.hrl $(EBIN)/beam_ssa_pre_codegen.beam: beam_ssa.hrl $(EBIN)/beam_ssa_recv.beam: beam_ssa.hrl $(EBIN)/beam_ssa_share.beam: beam_ssa.hrl -$(EBIN)/beam_ssa_type.beam: beam_ssa.hrl +$(EBIN)/beam_ssa_type.beam: beam_ssa.hrl beam_types.hrl +$(EBIN)/beam_types.beam: beam_types.hrl $(EBIN)/cerl.beam: core_parse.hrl $(EBIN)/compile.beam: core_parse.hrl ../../stdlib/include/erl_compile.hrl $(EBIN)/core_lib.beam: core_parse.hrl diff --git a/lib/compiler/src/beam_call_types.erl b/lib/compiler/src/beam_call_types.erl new file mode 100644 index 0000000000..d091b7866d --- /dev/null +++ b/lib/compiler/src/beam_call_types.erl @@ -0,0 +1,509 @@ +%% +%% %CopyrightBegin% +%% +%% Copyright Ericsson AB 2019. All Rights Reserved. +%% +%% Licensed under the Apache License, Version 2.0 (the "License"); +%% you may not use this file except in compliance with the License. +%% You may obtain a copy of the License at +%% +%% http://www.apache.org/licenses/LICENSE-2.0 +%% +%% Unless required by applicable law or agreed to in writing, software +%% distributed under the License is distributed on an "AS IS" BASIS, +%% WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +%% See the License for the specific language governing permissions and +%% limitations under the License. +%% +%% %CopyrightEnd% +%% + +-module(beam_call_types). + +-include("beam_types.hrl"). + +-import(lists, [duplicate/2,foldl/3]). + +-export([never_throws/3, types/3]). + +-spec never_throws(Mod, Func, Arity) -> boolean() when + Mod :: atom(), + Func :: atom(), + Arity :: non_neg_integer(). + +never_throws(erlang, '/=', 2) -> true; +never_throws(erlang, '<', 2) -> true; +never_throws(erlang, '=/=', 2) -> true; +never_throws(erlang, '=:=', 2) -> true; +never_throws(erlang, '=<', 2) -> true; +never_throws(erlang, '==', 2) -> true; +never_throws(erlang, '>', 2) -> true; +never_throws(erlang, '>=', 2) -> true; +never_throws(erlang, is_atom, 1) -> true; +never_throws(erlang, is_boolean, 1) -> true; +never_throws(erlang, is_binary, 1) -> true; +never_throws(erlang, is_bitstring, 1) -> true; +never_throws(erlang, is_float, 1) -> true; +never_throws(erlang, is_function, 1) -> true; +never_throws(erlang, is_integer, 1) -> true; +never_throws(erlang, is_list, 1) -> true; +never_throws(erlang, is_map, 1) -> true; +never_throws(erlang, is_number, 1) -> true; +never_throws(erlang, is_pid, 1) -> true; +never_throws(erlang, is_port, 1) -> true; +never_throws(erlang, is_reference, 1) -> true; +never_throws(erlang, is_tuple, 1) -> true; +never_throws(erlang, get, 1) -> true; +never_throws(erlang, self, 0) -> true; +never_throws(erlang, node, 0) -> true; +never_throws(_, _, _) -> false. + +%% +%% Returns the inferred return and argument types for known functions, and +%% whether it's safe to subtract argument types on failure. +%% +%% Note that the return type will be 'none' if we can statically determine that +%% the function will fail at runtime. +%% + +-spec types(Mod, Func, ArgTypes) -> {RetType, ArgTypes, CanSubtract} when + Mod :: atom(), + Func :: atom(), + ArgTypes :: [type()], + RetType :: type(), + CanSubtract :: boolean(). + +%% Functions that only fail due to bad argument *types*, meaning it's safe to +%% subtract argument types on failure. +%% +%% Note that these are all from the erlang module; suitable functions in other +%% modules could fail due to the module not being loaded. +types(erlang, 'map_size', [_]) -> + sub_safe(#t_integer{}, [#t_map{}]); +types(erlang, 'tuple_size', [_]) -> + sub_safe(#t_integer{}, [#t_tuple{}]); +types(erlang, 'bit_size', [_]) -> + sub_safe(#t_integer{}, [#t_bitstring{}]); +types(erlang, 'byte_size', [_]) -> + sub_safe(#t_integer{}, [#t_bitstring{}]); +types(erlang, 'hd', [_]) -> + sub_safe(any, [cons]); +types(erlang, 'tl', [_]) -> + sub_safe(any, [cons]); +types(erlang, 'length', [_]) -> + sub_safe(#t_integer{}, [list]); +types(erlang, 'not', [_]) -> + Bool = beam_types:make_boolean(), + sub_safe(Bool, [Bool]); + +%% Boolean ops +types(erlang, 'and', [_,_]) -> + Bool = beam_types:make_boolean(), + sub_unsafe(Bool, [Bool, Bool]); +types(erlang, 'or', [_,_]) -> + Bool = beam_types:make_boolean(), + sub_unsafe(Bool, [Bool, Bool]); +types(erlang, 'xor', [_,_]) -> + Bool = beam_types:make_boolean(), + sub_unsafe(Bool, [Bool, Bool]); + +%% Bitwise ops +types(erlang, 'band', [_,_]=Args) -> + sub_unsafe(band_return_type(Args), [#t_integer{}, #t_integer{}]); +types(erlang, 'bor', [_,_]) -> + sub_unsafe(#t_integer{}, [#t_integer{}, #t_integer{}]); +types(erlang, 'bxor', [_,_]) -> + sub_unsafe(#t_integer{}, [#t_integer{}, #t_integer{}]); +types(erlang, 'bsl', [_,_]) -> + sub_unsafe(#t_integer{}, [#t_integer{}, #t_integer{}]); +types(erlang, 'bsr', [_,_]) -> + sub_unsafe(#t_integer{}, [#t_integer{}, #t_integer{}]); +types(erlang, 'bnot', [_]) -> + sub_unsafe(#t_integer{}, [#t_integer{}]); + +%% Fixed-type arithmetic +types(erlang, 'float', [_]) -> + sub_unsafe(float, [number]); +types(erlang, 'round', [_]) -> + sub_unsafe(#t_integer{}, [number]); +types(erlang, 'floor', [_]) -> + sub_unsafe(#t_integer{}, [number]); +types(erlang, 'ceil', [_]) -> + sub_unsafe(#t_integer{}, [number]); +types(erlang, 'trunc', [_]) -> + sub_unsafe(#t_integer{}, [number]); +types(erlang, '/', [_,_]) -> + sub_unsafe(float, [number, number]); +types(erlang, 'div', [_,_]) -> + sub_unsafe(#t_integer{}, [#t_integer{}, #t_integer{}]); +types(erlang, 'rem', [_,_]) -> + sub_unsafe(#t_integer{}, [#t_integer{}, #t_integer{}]); + +%% Mixed-type arithmetic; '+'/2 and friends are handled in the catch-all +%% clause for the 'erlang' module. +types(erlang, 'abs', [_]=Args) -> + mixed_arith_types(Args); + +%% List operations +types(erlang, '++', [LHS,RHS]) -> + %% `[] ++ RHS` yields RHS, even if RHS is not a list. + RetType = case {LHS, RHS} of + {cons, _} -> cons; + {_, cons} -> cons; + _ -> beam_types:join(list, RHS) + end, + sub_unsafe(RetType, [list, any]); +types(erlang, '--', [_,_]) -> + sub_unsafe(list, [list, list]); + +%% Misc ops. +types(erlang, 'binary_part', [_, _]) -> + PosLen = make_two_tuple(#t_integer{}, #t_integer{}), + Binary = #t_bitstring{unit=8}, + sub_unsafe(Binary, [Binary, PosLen]); +types(erlang, 'binary_part', [_, _, _]) -> + Binary = #t_bitstring{unit=8}, + sub_unsafe(Binary, [Binary, #t_integer{}, #t_integer{}]); +types(erlang, 'is_map_key', [_,_]) -> + sub_unsafe(beam_types:make_boolean(), [any,#t_map{}]); +types(erlang, 'map_get', [_,_]) -> + sub_unsafe(any, [any,#t_map{}]); +types(erlang, 'node', [_]) -> + sub_unsafe(#t_atom{}, [any]); +types(erlang, 'node', []) -> + sub_unsafe(#t_atom{}, []); +types(erlang, 'size', [_]) -> + sub_unsafe(#t_integer{}, [any]); +types(erlang, 'size', [_]) -> + sub_unsafe(#t_integer{}, [any]); + +%% Tuple element ops +types(erlang, element, [PosType, TupleType]) -> + Index = case PosType of + #t_integer{elements={Same,Same}} when is_integer(Same) -> + Same; + _ -> + 0 + end, + + RetType = case TupleType of + #t_tuple{size=Sz,elements=Es} when Index =< Sz, + Index >= 1 -> + beam_types:get_element_type(Index, Es); + _ -> + any + end, + + sub_unsafe(RetType, [#t_integer{}, #t_tuple{size=Index}]); +types(erlang, setelement, [PosType, TupleType, ArgType]) -> + RetType = case {PosType,TupleType} of + {#t_integer{elements={Index,Index}}, + #t_tuple{elements=Es0,size=Size}=T} -> + %% This is an exact index, update the type of said + %% element or return 'none' if it's known to be out of + %% bounds. + Es = beam_types:set_element_type(Index, ArgType, Es0), + case T#t_tuple.exact of + false -> + T#t_tuple{size=max(Index, Size),elements=Es}; + true when Index =< Size -> + T#t_tuple{elements=Es}; + true -> + none + end; + {#t_integer{elements={Min,Max}}, + #t_tuple{elements=Es0,size=Size}=T} -> + %% We know this will land between Min and Max, so kill + %% the types for those indexes. + Es = discard_tuple_element_info(Min, Max, Es0), + case T#t_tuple.exact of + false -> + T#t_tuple{elements=Es,size=max(Min, Size)}; + true when Min =< Size -> + T#t_tuple{elements=Es,size=Size}; + true -> + none + end; + {_,#t_tuple{}=T} -> + %% Position unknown, so we have to discard all element + %% information. + T#t_tuple{elements=#{}}; + {#t_integer{elements={Min,_Max}},_} -> + #t_tuple{size=Min}; + {_,_} -> + #t_tuple{} + end, + sub_unsafe(RetType, [#t_integer{}, #t_tuple{}, any]); + +types(erlang, make_fun, [_,_,Arity0]) -> + Type = case Arity0 of + #t_integer{elements={Arity,Arity}} when Arity >= 0 -> + #t_fun{arity=Arity}; + _ -> + #t_fun{} + end, + sub_unsafe(Type, [#t_atom{}, #t_atom{}, #t_integer{}]); + +types(erlang, Name, Args) -> + Arity = length(Args), + + case erl_bifs:is_exit_bif(erlang, Name, Arity) of + true -> + {none, Args, false}; + false -> + case erl_internal:arith_op(Name, Arity) of + true -> + mixed_arith_types(Args); + false -> + IsTest = + erl_internal:new_type_test(Name, Arity) orelse + erl_internal:comp_op(Name, Arity), + + RetType = case IsTest of + true -> beam_types:make_boolean(); + false -> any + end, + + sub_unsafe(RetType, duplicate(Arity, any)) + end + end; + +%% +%% Math BIFs +%% + +types(math, cos, [_]) -> + sub_unsafe(float, [number]); +types(math, cosh, [_]) -> + sub_unsafe(float, [number]); +types(math, sin, [_]) -> + sub_unsafe(float, [number]); +types(math, sinh, [_]) -> + sub_unsafe(float, [number]); +types(math, tan, [_]) -> + sub_unsafe(float, [number]); +types(math, tanh, [_]) -> + sub_unsafe(float, [number]); +types(math, acos, [_]) -> + sub_unsafe(float, [number]); +types(math, acosh, [_]) -> + sub_unsafe(float, [number]); +types(math, asin, [_]) -> + sub_unsafe(float, [number]); +types(math, asinh, [_]) -> + sub_unsafe(float, [number]); +types(math, atan, [_]) -> + sub_unsafe(float, [number]); +types(math, atanh, [_]) -> + sub_unsafe(float, [number]); +types(math, erf, [_]) -> + sub_unsafe(float, [number]); +types(math, erfc, [_]) -> + sub_unsafe(float, [number]); +types(math, exp, [_]) -> + sub_unsafe(float, [number]); +types(math, log, [_]) -> + sub_unsafe(float, [number]); +types(math, log2, [_]) -> + sub_unsafe(float, [number]); +types(math, log10, [_]) -> + sub_unsafe(float, [number]); +types(math, sqrt, [_]) -> + sub_unsafe(float, [number]); +types(math, atan2, [_,_]) -> + sub_unsafe(float, [number, number]); +types(math, pow, [_,_]) -> + sub_unsafe(float, [number, number]); +types(math, ceil, [_]) -> + sub_unsafe(float, [number]); +types(math, floor, [_]) -> + sub_unsafe(float, [number]); +types(math, fmod, [_,_]) -> + sub_unsafe(float, [number, number]); +types(math, pi, []) -> + sub_unsafe(float, []); + +%% +%% List functions +%% + +%% Operator aliases. +types(lists, append, [_,_]=Args) -> + types(erlang, '++', Args); +types(lists, append, [_]) -> + %% This is implemented through folding the list over erlang:'++'/2, so it + %% can hypothetically return anything, but we can infer that its argument + %% is a list on success. + sub_unsafe(any, [list]); +types(lists, subtract, [_,_]) -> + sub_unsafe(list, [list, list]); + +%% Functions returning booleans. +types(lists, all, [_,_]) -> + sub_unsafe(beam_types:make_boolean(), [#t_fun{arity=1}, list]); +types(lists, any, [_,_]) -> + sub_unsafe(beam_types:make_boolean(), [#t_fun{arity=1}, list]); +types(lists, keymember, [_,_,_]) -> + sub_unsafe(beam_types:make_boolean(), [any, #t_integer{}, list]); +types(lists, member, [_,_]) -> + sub_unsafe(beam_types:make_boolean(), [any, list]); +types(lists, prefix, [_,_]) -> + sub_unsafe(beam_types:make_boolean(), [list, list]); +types(lists, suffix, [_,_]) -> + sub_unsafe(beam_types:make_boolean(), [list, list]); + +%% Functions returning plain lists. +types(lists, dropwhile, [_,_]) -> + sub_unsafe(list, [#t_fun{arity=1}, list]); +types(lists, duplicate, [_,_]) -> + sub_unsafe(list, [#t_integer{}, any]); +types(lists, filter, [_,_]) -> + sub_unsafe(list, [#t_fun{arity=1}, list]); +types(lists, flatten, [_]) -> + sub_unsafe(list, [list]); +types(lists, map, [_Fun, List]) -> + sub_unsafe(same_length_type(List), [#t_fun{arity=1}, list]); +types(lists, reverse, [List]) -> + sub_unsafe(same_length_type(List), [list]); +types(lists, sort, [List]) -> + sub_unsafe(same_length_type(List), [list]); +types(lists, takewhile, [_,_]) -> + sub_unsafe(list, [#t_fun{arity=1}, list]); +types(lists, usort, [List]) -> + sub_unsafe(same_length_type(List), [list]); +types(lists, zip, [A,B]) -> + ZipType = lists_zip_type([A,B]), + sub_unsafe(ZipType, [ZipType, ZipType]); +types(lists, zip3, [A,B,C]) -> + ZipType = lists_zip_type([A,B,C]), + sub_unsafe(ZipType, [ZipType, ZipType, ZipType]); +types(lists, zipwith, [_,A,B]) -> + ZipType = lists_zip_type([A,B]), + sub_unsafe(ZipType, [#t_fun{arity=2}, ZipType, ZipType]); +types(lists, zipwith3, [_,A,B,C]) -> + ZipType = lists_zip_type([A,B,C]), + sub_unsafe(ZipType, [#t_fun{arity=3}, ZipType, ZipType, ZipType]); + +%% Functions with complex return values. +types(lists, partition, [_,_]) -> + sub_unsafe(make_two_tuple(list, list), [#t_fun{arity=1}, list]); +types(lists, MapFold, [_Fun, _Init, List]) + when MapFold =:= mapfoldl; MapFold =:= mapfoldr -> + ListType = same_length_type(List), + RetType = #t_tuple{size=2, + exact=true, + elements=#{ 1 => ListType }}, + sub_unsafe(RetType, [#t_fun{arity=2}, any, list]); +types(lists, splitwith, [_,_]) -> + sub_unsafe(make_two_tuple(list, list), [#t_fun{arity=1}, list]); +types(lists, unzip, [List]) -> + ListType = same_length_type(List), + RetType = make_two_tuple(ListType, ListType), + sub_unsafe(RetType, [list]); + +%% Catch-all clause for unknown functions. + +types(_, _, Args) -> + sub_unsafe(any, [any || _ <- Args]). + +%% +%% Helpers +%% + +sub_unsafe(none, ArgTypes) -> + %% This is known to fail at runtime, but the type optimization pass + %% doesn't yet support cutting a block short at any point, so we + %% pretend it's raining instead. + %% + %% Actual exit BIFs get special treatment in the catch-all clause + %% for the 'erlang' module. + sub_unsafe(any, ArgTypes); +sub_unsafe(RetType, ArgTypes) -> + {RetType, ArgTypes, false}. + +sub_safe(RetType, ArgTypes) -> + {RetType, ArgTypes, true}. + +mixed_arith_types([FirstType | _]=Args0) -> + RetType = foldl(fun(#t_integer{}, #t_integer{}) -> #t_integer{}; + (#t_integer{}, number) -> number; + (#t_integer{}, float) -> float; + (float, #t_integer{}) -> float; + (float, number) -> float; + (float, float) -> float; + (number, #t_integer{}) -> number; + (number, float) -> float; + (number, number) -> number; + (any, _) -> number; + (_, _) -> none + end, FirstType, Args0), + sub_unsafe(RetType, [number || _ <- Args0]). + +band_return_type([#t_integer{elements={Int,Int}}, RHS]) when is_integer(Int) -> + band_return_type_1(RHS, Int); +band_return_type([LHS, #t_integer{elements={Int,Int}}]) when is_integer(Int) -> + band_return_type_1(LHS, Int); +band_return_type(_) -> + #t_integer{}. + +band_return_type_1(LHS, Int) -> + case LHS of + #t_integer{elements={Min0,Max0}} when Max0 - Min0 < 1 bsl 256 -> + {Intersection, Union} = range_masks(Min0, Max0), + + Min = Intersection band Int, + Max = min(Max0, Union band Int), + + #t_integer{elements={Min,Max}}; + _ when Int >= 0 -> + %% The range is either unknown or too wide, conservatively assume + %% that the new range is 0 .. Int. + #t_integer{elements={0,Int}}; + _ when Int < 0 -> + %% We can't infer boundaries when the range is unknown and the + %% other operand is a negative number, as the latter sign-extends + %% to infinity and we can't express an inverted range at the + %% moment (cf. X band -8; either less than -7 or greater than 7). + #t_integer{} + end. + +%% Returns two bitmasks describing all possible values between From and To. +%% +%% The first contains the bits that are common to all values, and the second +%% contains the bits that are set by any value in the range. +range_masks(From, To) when From =< To -> + range_masks_1(From, To, 0, -1, 0). + +range_masks_1(From, To, BitPos, Intersection, Union) when From < To -> + range_masks_1(From + (1 bsl BitPos), To, BitPos + 1, + Intersection band From, Union bor From); +range_masks_1(_From, To, _BitPos, Intersection0, Union0) -> + Intersection = To band Intersection0, + Union = To bor Union0, + {Intersection, Union}. + +discard_tuple_element_info(Min, Max, Es) -> + foldl(fun(El, Acc) when Min =< El, El =< Max -> + maps:remove(El, Acc); + (_El, Acc) -> Acc + end, Es, maps:keys(Es)). + +%% For a lists function that return a list of the same length as the input +%% list, return the type of the list. +same_length_type(cons) -> cons; +same_length_type(nil) -> nil; +same_length_type(_) -> list. + +%% lists:zip/2 and friends only succeed when all arguments have the same +%% length, so if one of them is cons, we can infer that all of them are cons +%% on success. +lists_zip_type(Types) -> + foldl(fun(cons, _) -> cons; + (_, cons) -> cons; + (nil, _) -> nil; + (_, T) -> T + end, list, Types). + +make_two_tuple(Type1, Type2) -> + #t_tuple{size=2,exact=true, + elements=#{1=>Type1,2=>Type2}}. diff --git a/lib/compiler/src/beam_ssa_bsm.erl b/lib/compiler/src/beam_ssa_bsm.erl index 382e6f635e..abbda2ebe4 100644 --- a/lib/compiler/src/beam_ssa_bsm.erl +++ b/lib/compiler/src/beam_ssa_bsm.erl @@ -57,6 +57,7 @@ -export([module/2, format_error/1]). -include("beam_ssa.hrl"). +-include("beam_types.hrl"). -import(lists, [member/2, reverse/1, splitwith/2, map/2, foldl/3, mapfoldl/3, nth/2, max/1, unzip/1]). @@ -879,8 +880,7 @@ annotate_context_parameters(F, ModInfo) -> %% Assertion. error(conflicting_parameter_types); (K, suitable_for_reuse, Acc) -> - T = beam_validator:type_anno(match_context), - Acc#{ K => T }; + Acc#{ K => #t_bs_context{} }; (_K, _V, Acc) -> Acc end, TypeAnno0, ParamInfo), diff --git a/lib/compiler/src/beam_ssa_type.erl b/lib/compiler/src/beam_ssa_type.erl index 612277393e..79ed0d7885 100644 --- a/lib/compiler/src/beam_ssa_type.erl +++ b/lib/compiler/src/beam_ssa_type.erl @@ -22,11 +22,13 @@ -export([opt_start/4, opt_continue/4, opt_finish/3]). -include("beam_ssa_opt.hrl"). +-include("beam_types.hrl"). + -import(lists, [all/2,any/2,droplast/1,foldl/3,last/1,member/2, keyfind/3,reverse/1,reverse/2, - sort/1,split/2]). + sort/1,split/2,zip/2]). --define(UNICODE_INT, #t_integer{elements={0,16#10FFFF}}). +-define(UNICODE_MAX, (16#10FFFF)). -record(d, {ds :: #{beam_ssa:b_var():=beam_ssa:b_set()}, @@ -37,23 +39,6 @@ sub = #{} :: #{beam_ssa:b_var():=beam_ssa:value()}, ret_type = [] :: [type()]}). --define(ATOM_SET_SIZE, 5). - -%% Records that represent type information. --record(t_atom, {elements=any :: 'any' | [atom()]}). --record(t_bs_match, {type :: type()}). --record(t_fun, {arity=any :: arity() | 'any'}). --record(t_integer, {elements=any :: 'any' | {integer(),integer()}}). --record(t_tuple, {size=0 :: integer(), - exact=false :: boolean(), - %% Known element types (1-based index), unknown elements are - %% are assumed to be 'any'. - elements=#{} :: #{ non_neg_integer() => type() }}). - --type type() :: 'any' | 'none' | - #t_atom{} | #t_bs_match{} | #t_fun{} | #t_integer{} | #t_tuple{} | - {'binary',pos_integer()} | 'cons' | 'float' | - 'list' | 'map' | 'nil' | 'number'. -type type_db() :: #{beam_ssa:var_name():=type()}. -spec opt_start(Linear, Args, Anno, FuncDb) -> {Linear, FuncDb} when @@ -100,7 +85,7 @@ join_arg_types(Args, ArgTypes, Anno) -> end, Ts0, ParamTypes). join_arg_types_1([Arg | Args], [TM | TMs], Ts) when map_size(TM) =/= 0 -> - join_arg_types_1(Args, TMs, Ts#{ Arg => join(maps:values(TM))}); + join_arg_types_1(Args, TMs, Ts#{ Arg => beam_types:join(maps:values(TM))}); join_arg_types_1([Arg | Args], [_TM | TMs], Ts) -> join_arg_types_1(Args, TMs, Ts#{ Arg => any }); join_arg_types_1([], [], Ts) -> @@ -159,47 +144,15 @@ opt_finish_1([Arg | Args], [TypeMap | TypeMaps], ParamInfo) map_size(TypeMap) =:= 0 -> opt_finish_1(Args, TypeMaps, ParamInfo); opt_finish_1([Arg | Args], [TypeMap | TypeMaps], ParamInfo0) -> - JoinedType0 = verified_type(join(maps:values(TypeMap))), - case validator_anno(JoinedType0) of - any -> - opt_finish_1(Args, TypeMaps, ParamInfo0); - JoinedType -> - ParamInfo = ParamInfo0#{ Arg => JoinedType }, - opt_finish_1(Args, TypeMaps, ParamInfo) - end; + JoinedType = beam_types:join(maps:values(TypeMap)), + ParamInfo = case JoinedType of + any -> ParamInfo0; + _ -> ParamInfo0#{ Arg => JoinedType } + end, + opt_finish_1(Args, TypeMaps, ParamInfo); opt_finish_1([], [], ParamInfo) -> ParamInfo. -validator_anno(any) -> - any; -validator_anno(#t_fun{}) -> - %% There is no need make funs visible to beam_validator. - any; -validator_anno(#t_tuple{size=Size,exact=Exact,elements=Elements0}) -> - Elements = maps:fold(fun(Index, Type0, Acc) -> - Key = beam_validator:type_anno(integer, Index), - case validator_anno(Type0) of - any -> Acc; - Type -> Acc#{Key=>Type} - end - end, #{}, Elements0), - beam_validator:type_anno(tuple, Size, Exact, Elements); -validator_anno(#t_integer{elements={Same,Same}}) -> - beam_validator:type_anno(integer, Same); -validator_anno(#t_integer{}) -> - beam_validator:type_anno(integer); -validator_anno(float) -> - beam_validator:type_anno(float); -validator_anno(#t_atom{elements=[Val]}) -> - beam_validator:type_anno(atom, Val); -validator_anno(#t_atom{}=A) -> - case t_is_boolean(A) of - true -> beam_validator:type_anno(bool); - false -> beam_validator:type_anno(atom) - end; -validator_anno(T) -> - beam_validator:type_anno(T). - get_func_id(Anno) -> #{func_info:={_Mod, Name, Arity}} = Anno, #b_local{name=#b_literal{val=Name}, arity=Arity}. @@ -233,7 +186,7 @@ opt_1(L, #b_blk{is=Is0,last=Last0}=Blk0, Bs, Ts0, %% potentially narrow the type of the phi node %% in the former successor. Ls = maps:remove(L, D0#d.ls), - RetType = join([none|D0#d.ret_type]), + RetType = beam_types:join([none|D0#d.ret_type]), D = D0#d{ds=Ds,ls=Ls,sub=Sub, func_db=Fdb,ret_type=[RetType]}, Blk = Blk0#b_blk{is=Is,last=Ret}, @@ -333,11 +286,11 @@ opt_is([#b_set{op=succeeded,args=[Arg],dst=Dst}=I], #{} -> Args = simplify_args([Arg], Sub0, Ts0), Type = type(succeeded, Args, Ts0, Ds0), - case get_literal_from_type(Type) of - #b_literal{}=Lit -> - Sub = Sub0#{Dst=>Lit}, + case beam_types:get_singleton_value(Type) of + {ok, Lit} -> + Sub = Sub0#{Dst=>#b_literal{val=Lit}}, opt_is([], Ts0, Ds0, Fdb, D, Sub, Acc); - none -> + error -> Ts = Ts0#{Dst=>Type}, Ds = Ds0#{Dst=>I}, opt_is([], Ts, Ds, Fdb, D, Sub0, [I|Acc]) @@ -380,7 +333,7 @@ simplify_call(#b_set{op=call,args=[#b_remote{}=Rem|Args]}=I) -> false -> I end; - #b_remote{} -> + #b_remote{} -> I end; simplify_call(I) -> I. @@ -455,15 +408,9 @@ opt_local_call(#b_set{dst=Dst,args=[Id|_]}=I0, Ts0, Ds0, Fdb) -> #{} -> any end, I = case Type of - none -> - I0; - _ -> - case validator_anno(Type) of - any -> - I0; - ValidatorType -> - beam_ssa:add_anno(result_type, ValidatorType, I0) - end + any -> I0; + none -> I0; + _ -> beam_ssa:add_anno(result_type, Type, I0) end, Ts = Ts0#{ Dst => Type }, Ds = Ds0#{ Dst => I }, @@ -473,7 +420,7 @@ update_arg_types([Arg | Args], [TypeMap0 | TypeMaps], CallId, Ts) -> %% Match contexts are treated as bitstrings when optimizing arguments, as %% we don't yet support removing the "bs_start_match3" instruction. NewType = case get_type(Arg, Ts) of - #t_bs_match{} -> {binary, 1}; + #t_bs_context{} -> #t_bitstring{unit=1}; Type -> Type end, TypeMap = TypeMap0#{ CallId => NewType }, @@ -504,7 +451,7 @@ simplify(#b_set{op={bif,'or'},args=Args}=I, Ts) -> I end; simplify(#b_set{op={bif,element},args=[#b_literal{val=Index},Tuple]}=I0, Ts) -> - case t_tuple_size(get_type(Tuple, Ts)) of + case beam_types:get_tuple_size(get_type(Tuple, Ts)) of {_,Size} when is_integer(Index), 1 =< Index, Index =< Size -> I = I0#b_set{op=get_tuple_element, args=[Tuple,#b_literal{val=Index-1}]}, @@ -554,14 +501,14 @@ simplify(#b_set{op={bif,is_function},args=[Fun,#b_literal{val=Arity}]}=I, Ts) end; simplify(#b_set{op={bif,Op0},args=Args}=I, Ts) when Op0 =:= '=='; Op0 =:= '/=' -> Types = get_types(Args, Ts), - EqEq0 = case {meet(Types),join(Types)} of - {none,any} -> true; - {#t_integer{},#t_integer{}} -> true; - {float,float} -> true; - {{binary,_},_} -> true; - {#t_atom{},_} -> true; - {_,_} -> false - end, + EqEq0 = case {beam_types:meet(Types),beam_types:join(Types)} of + {none,any} -> true; + {#t_integer{},#t_integer{}} -> true; + {float,float} -> true; + {#t_bitstring{},_} -> true; + {#t_atom{},_} -> true; + {_,_} -> false + end, EqEq = EqEq0 orelse any_non_numeric_argument(Args, Ts), case EqEq of true -> @@ -577,11 +524,11 @@ simplify(#b_set{op={bif,'=:='},args=[Same,Same]}, _Ts) -> #b_literal{val=true}; simplify(#b_set{op={bif,'=:='},args=[A1,_A2]=Args}=I, Ts) -> [T1,T2] = get_types(Args, Ts), - case meet(T1, T2) of + case beam_types:meet(T1, T2) of none -> #b_literal{val=false}; _ -> - case {t_is_boolean(T1),T2} of + case {beam_types:is_boolean_type(T1),T2} of {true,#t_atom{elements=[true]}} -> %% Bool =:= true ==> Bool A1; @@ -612,10 +559,10 @@ simplify(#b_set{op={bif,Op},args=Args}=I, Ts) -> simplify(#b_set{op=get_tuple_element,args=[Tuple,#b_literal{val=N}]}=I, Ts) -> case get_type(Tuple, Ts) of #t_tuple{size=Size,elements=Es} when Size > N -> - ElemType = get_element_type(N + 1, Es), - case get_literal_from_type(ElemType) of - #b_literal{}=Lit -> Lit; - none -> I + ElemType = beam_types:get_element_type(N + 1, Es), + case beam_types:get_singleton_value(ElemType) of + {ok, Val} -> #b_literal{val=Val}; + error -> I end; none -> %% Will never be executed because of type conflict. @@ -671,7 +618,7 @@ is_non_numeric_tuple(Tuple, El) when El >= 1 -> is_non_numeric_tuple(_Tuple, 0) -> true. is_non_numeric_type(#t_atom{}) -> true; -is_non_numeric_type({binary,_}) -> true; +is_non_numeric_type(#t_bitstring{}) -> true; is_non_numeric_type(nil) -> true; is_non_numeric_type(#t_tuple{size=Size,exact=true,elements=Types}) when map_size(Types) =:= Size -> @@ -696,7 +643,7 @@ make_literal_list([], Acc) -> is_safe_bool_op(Args, Ts) -> [T1,T2] = get_types(Args, Ts), - t_is_boolean(T1) andalso t_is_boolean(T2). + beam_types:is_boolean_type(T1) andalso beam_types:is_boolean_type(T2). all_same([{H,_}|T]) -> all(fun({E,_}) -> E =:= H end, T). @@ -743,9 +690,9 @@ simplify_arg(#b_var{}=Arg0, Sub, Ts) -> LitArg; #b_var{}=Arg -> Type = get_type(Arg, Ts), - case get_literal_from_type(Type) of - none -> Arg; - #b_literal{}=Lit -> Lit + case beam_types:get_singleton_value(Type) of + {ok, Val} -> #b_literal{val=Val}; + error -> Arg end end; simplify_arg(#b_remote{mod=Mod,name=Name}=Rem, Sub, Ts) -> @@ -800,7 +747,7 @@ opt_switch(#b_switch{fail=Fail,list=List0}=Sw0, Type, Ts, Ds) -> #t_integer{elements={_,_}=Range} -> simplify_switch_int(Sw1, Range); #t_atom{elements=[_|_]} -> - case t_is_boolean(Type) of + case beam_types:is_boolean_type(Type) of true -> #b_br{} = Br = simplify_switch_bool(Sw1, Ts, Ds), opt_terminator(Br, Ts, Ds); @@ -814,7 +761,7 @@ opt_switch(#b_switch{fail=Fail,list=List0}=Sw0, Type, Ts, Ds) -> prune_switch_list([{_,Fail}|T], Fail, Type, Ts) -> prune_switch_list(T, Fail, Type, Ts); prune_switch_list([{Arg,_}=Pair|T], Fail, Type, Ts) -> - case meet(get_type(Arg, Ts), Type) of + case beam_types:meet(get_type(Arg, Ts), Type) of none -> %% Different types. This value can never match. prune_switch_list(T, Fail, Type, Ts); @@ -874,7 +821,7 @@ update_successors(#b_ret{arg=Arg}, Ts, D) -> %% type. D; #{} -> - RetType = join([get_type(Arg, Ts) | D#d.ret_type]), + RetType = beam_types:join([get_type(Arg, Ts) | D#d.ret_type]), D#d{ret_type=[RetType]} end. @@ -883,14 +830,14 @@ subtract_sw_list(V, List, Ts) -> sub_sw_list_1(Type, [{Val,_}|T], Ts) -> ValType = get_type(Val, Ts), - sub_sw_list_1(subtract(Type, ValType), T, Ts); + sub_sw_list_1(beam_types:subtract(Type, ValType), T, Ts); sub_sw_list_1(Type, [], _Ts) -> Type. update_successor_bool(#b_var{}=Var, BoolValue, S, Ts, D) -> - case t_is_boolean(get_type(Var, Ts)) of + case beam_types:is_boolean_type(get_type(Var, Ts)) of true -> - update_successor(S, Ts#{Var:=t_atom(BoolValue)}, D); + update_successor(S, Ts#{ Var := beam_types:make_atom(BoolValue) }, D); false -> %% The `br` terminator is preceeded by an instruction that %% does not produce a boolean value, such a `new_try_tag`. @@ -917,118 +864,43 @@ update_types(#b_set{op=Op,dst=Dst,args=Args}, Ts, Ds) -> type(phi, Args, Ts, _Ds) -> Types = [get_type(A, Ts) || {A,_} <- Args], - join(Types); -type({bif,'band'}, Args, Ts, _Ds) -> - band_type(Args, Ts); + beam_types:join(Types); type({bif,Bif}, Args, Ts, _Ds) -> - case bif_type(Bif, Args) of - number -> - arith_op_type(Args, Ts); - Type -> - Type - end; + {RetType, _, _} = beam_call_types:types(erlang, Bif, get_types(Args, Ts)), + RetType; type(bs_init, _Args, _Ts, _Ds) -> - {binary, 1}; -type(bs_extract, [Ctx], Ts, _Ds) -> - #t_bs_match{type=Type} = get_type(Ctx, Ts), - Type; -type(bs_match, Args, _Ts, _Ds) -> - #t_bs_match{type=bs_match_type(Args)}; + #t_bitstring{}; +type(bs_extract, [Ctx], _Ts, Ds) -> + #b_set{op=bs_match,args=Args} = map_get(Ctx, Ds), + bs_match_type(Args); +type(bs_match, _Args, _Ts, _Ds) -> + #t_bs_context{}; type(bs_get_tail, _Args, _Ts, _Ds) -> - {binary, 1}; + #t_bitstring{}; type(call, [#b_remote{mod=#b_literal{val=Mod}, name=#b_literal{val=Name}}|Args], Ts, _Ds) -> - case {Mod,Name,Args} of - {erlang,make_fun,[_,_,Arity0]} -> - case Arity0 of - #b_literal{val=Arity} when is_integer(Arity), Arity >= 0 -> - #t_fun{arity=Arity}; - _ -> - #t_fun{} - end; - {erlang,setelement,[Pos,Tuple,Arg]} -> - case {get_type(Pos, Ts),get_type(Tuple, Ts)} of - {#t_integer{elements={Index,Index}}, - #t_tuple{elements=Es0,size=Size}=T} -> - %% This is an exact index, update the type of said element - %% or return 'none' if it's known to be out of bounds. - Es = set_element_type(Index, get_type(Arg, Ts), Es0), - case T#t_tuple.exact of - false -> - T#t_tuple{size=max(Index, Size),elements=Es}; - true when Index =< Size -> - T#t_tuple{elements=Es}; - true -> - none - end; - {#t_integer{elements={Min,_}}=IntType, - #t_tuple{elements=Es0,size=Size}=T} -> - %% Remove type information for all indices that - %% falls into the range of the integer. - Es = remove_element_info(IntType, Es0), - case T#t_tuple.exact of - false -> - T#t_tuple{elements=Es,size=max(Min, Size)}; - true when Min =< Size -> - T#t_tuple{elements=Es,size=Size}; - true -> - none - end; - {_,#t_tuple{}=T} -> - %% Position unknown, so we have to discard all element - %% information. - T#t_tuple{elements=#{}}; - {#t_integer{elements={Min,_Max}},_} -> - #t_tuple{size=Min}; - {_,_} -> - #t_tuple{} - end; - {erlang,'++',[LHS,RHS]} -> - LType = get_type(LHS, Ts), - RType = get_type(RHS, Ts), - case LType =:= cons orelse RType =:= cons of - true -> - cons; - false -> - %% `[] ++ RHS` yields RHS, even if RHS is not a list. - join(list, RType) - end; - {erlang,'--',[_,_]} -> - list; - {lists,F,Args} -> - Types = get_types(Args, Ts), - lists_function_type(F, Types); - {math,_,_} -> - case is_math_bif(Name, length(Args)) of - false -> any; - true -> float - end; - {_,_,_} -> - case erl_bifs:is_exit_bif(Mod, Name, length(Args)) of - true -> none; - false -> any - end - end; + {RetType, _, _} = beam_call_types:types(Mod, Name, get_types(Args, Ts)), + RetType; type(get_tuple_element, [Tuple, Offset], Ts, _Ds) -> #t_tuple{size=Size,elements=Es} = get_type(Tuple, Ts), #b_literal{val=N} = Offset, true = Size > N, %Assertion. - get_element_type(N + 1, Es); + beam_types:get_element_type(N + 1, Es); type(is_nonempty_list, [_], _Ts, _Ds) -> - t_boolean(); + beam_types:make_boolean(); type(is_tagged_tuple, [_,#b_literal{},#b_literal{}], _Ts, _Ds) -> - t_boolean(); + beam_types:make_boolean(); type(make_fun, [#b_local{arity=TotalArity}|Env], _Ts, _Ds) -> #t_fun{arity=TotalArity-length(Env)}; type(put_map, _Args, _Ts, _Ds) -> - map; + #t_map{}; type(put_list, _Args, _Ts, _Ds) -> cons; type(put_tuple, Args, Ts, _Ds) -> {Es, _} = foldl(fun(Arg, {Es0, Index}) -> - Type = get_type(Arg, Ts), - Es = set_element_type(Index, Type, Es0), - {Es, Index + 1} + Type = get_type(Arg, Ts), + Es = beam_types:set_element_type(Index, Type, Es0), + {Es, Index + 1} end, {#{}, 1}, Args), #t_tuple{exact=true,size=length(Args),elements=Es}; type(succeeded, [#b_var{}=Src], Ts, Ds) -> @@ -1037,130 +909,51 @@ type(succeeded, [#b_var{}=Src], Ts, Ds) -> Types = get_types(BifArgs, Ts), case {Bif,Types} of {BoolOp,[T1,T2]} when BoolOp =:= 'and'; BoolOp =:= 'or' -> - case t_is_boolean(T1) andalso t_is_boolean(T2) of - true -> t_atom(true); - false -> t_boolean() + BothBool = beam_types:is_boolean_type(T1) andalso + beam_types:is_boolean_type(T2), + case BothBool of + true -> beam_types:make_atom(true); + false -> beam_types:make_boolean() end; - {byte_size,[{binary,_}]} -> - t_atom(true); - {bit_size,[{binary,_}]} -> - t_atom(true); - {map_size,[map]} -> - t_atom(true); + {byte_size,[#t_bitstring{}]} -> + beam_types:make_atom(true); + {bit_size,[#t_bitstring{}]} -> + beam_types:make_atom(true); + {map_size,[#t_map{}]} -> + beam_types:make_atom(true); {'not',[Type]} -> - case t_is_boolean(Type) of - true -> t_atom(true); - false -> t_boolean() + case beam_types:is_boolean_type(Type) of + true -> beam_types:make_atom(true); + false -> beam_types:make_boolean() end; - {size,[{binary,_}]} -> - t_atom(true); + {size,[#t_bitstring{}]} -> + beam_types:make_atom(true); {tuple_size,[#t_tuple{}]} -> - t_atom(true); + beam_types:make_atom(true); {_,_} -> - t_boolean() + beam_types:make_boolean() end; #b_set{op=get_hd} -> - t_atom(true); + beam_types:make_atom(true); #b_set{op=get_tl} -> - t_atom(true); + beam_types:make_atom(true); #b_set{op=get_tuple_element} -> - t_atom(true); + beam_types:make_atom(true); #b_set{op=wait} -> - t_atom(false); + beam_types:make_atom(false); #b_set{} -> - t_boolean() + beam_types:make_boolean() end; type(succeeded, [#b_literal{}], _Ts, _Ds) -> - t_atom(true); + beam_types:make_atom(true); type(_, _, _, _) -> any. -arith_op_type(Args, Ts) -> - Types = get_types(Args, Ts), - foldl(fun(#t_integer{}, unknown) -> t_integer(); - (#t_integer{}, number) -> number; - (#t_integer{}, float) -> float; - (#t_integer{}, #t_integer{}) -> t_integer(); - (float, unknown) -> float; - (float, #t_integer{}) -> float; - (float, number) -> float; - (number, unknown) -> number; - (number, #t_integer{}) -> number; - (number, float) -> float; - (any, _) -> number; - (Same, Same) -> Same; - (_, _) -> none - end, unknown, Types). - -lists_function_type(F, Types) -> - case {F,Types} of - %% Functions that return booleans. - {all,[_,_]} -> - t_boolean(); - {any,[_,_]} -> - t_boolean(); - {keymember,[_,_,_]} -> - t_boolean(); - {member,[_,_]} -> - t_boolean(); - {prefix,[_,_]} -> - t_boolean(); - {suffix,[_,_]} -> - t_boolean(); - - %% Functions that return lists. - {dropwhile,[_,_]} -> - list; - {duplicate,[_,_]} -> - list; - {filter,[_,_]} -> - list; - {flatten,[_]} -> - list; - {map,[_Fun,List]} -> - same_length_type(List); - {MapFold,[_Fun,_Acc,List]} when MapFold =:= mapfoldl; - MapFold =:= mapfoldr -> - #t_tuple{size=2,exact=true, - elements=#{1=>same_length_type(List)}}; - {partition,[_,_]} -> - t_two_tuple(list, list); - {reverse,[List]} -> - same_length_type(List); - {sort,[List]} -> - same_length_type(List); - {splitwith,[_,_]} -> - t_two_tuple(list, list); - {takewhile,[_,_]} -> - list; - {unzip,[List]} -> - ListType = same_length_type(List), - t_two_tuple(ListType, ListType); - {usort,[List]} -> - same_length_type(List); - {zip,[_,_]} -> - list; - {zipwith,[_,_,_]} -> - list; - {_,_} -> - any - end. - -%% For a lists function that return a list of the same -%% length as the input list, return the type of the list. -same_length_type(cons) -> cons; -same_length_type(nil) -> nil; -same_length_type(_) -> list. - -t_two_tuple(Type1, Type2) -> - #t_tuple{size=2,exact=true, - elements=#{1=>Type1,2=>Type2}}. - %% will_succeed(TestOperation, Type) -> yes|no|maybe. %% Test whether TestOperation applied to an argument of type Type %% will succeed. Return yes, no, or maybe. %% -%% Type is a type as described in the comment for verified_type/1 at -%% the very end of this file, but it will *never* be 'any'. +%% Type can be any type as described in beam_types.hrl, but it must *never* be +%% any. will_succeed(is_atom, Type) -> case Type of @@ -1169,13 +962,13 @@ will_succeed(is_atom, Type) -> end; will_succeed(is_binary, Type) -> case Type of - {binary,U} when U rem 8 =:= 0 -> yes; - {binary,_} -> maybe; + #t_bitstring{unit=U} when U rem 8 =:= 0 -> yes; + #t_bitstring{} -> maybe; _ -> no end; will_succeed(is_bitstring, Type) -> case Type of - {binary,_} -> yes; + #t_bitstring{} -> yes; _ -> no end; will_succeed(is_boolean, Type) -> @@ -1183,7 +976,7 @@ will_succeed(is_boolean, Type) -> #t_atom{elements=any} -> maybe; #t_atom{elements=Es} -> - case t_is_boolean(Type) of + case beam_types:is_boolean_type(Type) of true -> yes; false -> @@ -1220,7 +1013,7 @@ will_succeed(is_list, Type) -> end; will_succeed(is_map, Type) -> case Type of - map -> yes; + #t_map{} -> yes; _ -> no end; will_succeed(is_number, Type) -> @@ -1237,35 +1030,12 @@ will_succeed(is_tuple, Type) -> end; will_succeed(_, _) -> maybe. - -band_type([Other,#b_literal{val=Int}], Ts) when is_integer(Int) -> - band_type_1(Int, Other, Ts); -band_type([_,_], _) -> t_integer(). - -band_type_1(Int, OtherSrc, Ts) -> - Type = band_type_2(Int, 0), - OtherType = get_type(OtherSrc, Ts), - meet(Type, OtherType). - -band_type_2(N, Bits) when Bits < 64 -> - case 1 bsl Bits of - P when P =:= N + 1 -> - t_integer(0, N); - P when P > N + 1 -> - t_integer(); - _ -> - band_type_2(N, Bits+1) - end; -band_type_2(_, _) -> - %% Negative or large positive number. Give up. - t_integer(). - bs_match_type([#b_literal{val=Type}|Args]) -> bs_match_type(Type, Args). bs_match_type(binary, Args) -> [_,_,_,#b_literal{val=U}] = Args, - {binary,U}; + #t_bitstring{unit=U}; bs_match_type(float, _) -> float; bs_match_type(integer, Args) -> @@ -1277,24 +1047,24 @@ bs_match_type(integer, Args) -> NumBits = Size * Unit, case member(unsigned, Flags) of true -> - t_integer(0, (1 bsl NumBits)-1); + beam_types:make_integer(0, (1 bsl NumBits)-1); false -> %% Signed integer. Don't bother. - t_integer() + #t_integer{} end; [_|_] -> - t_integer() + #t_integer{} end; bs_match_type(skip, _) -> any; bs_match_type(string, _) -> any; bs_match_type(utf8, _) -> - ?UNICODE_INT; + beam_types:make_integer(0, ?UNICODE_MAX); bs_match_type(utf16, _) -> - ?UNICODE_INT; + beam_types:make_integer(0, ?UNICODE_MAX); bs_match_type(utf32, _) -> - ?UNICODE_INT. + beam_types:make_integer(0, ?UNICODE_MAX). simplify_switch_atom(#t_atom{elements=Atoms}, #b_switch{list=List0}=Sw) -> case sort([A || {#b_literal{val=A},_} <- List0]) of @@ -1326,14 +1096,14 @@ eq_ranges(_, _, _) -> false. simplify_is_record(I, #t_tuple{exact=Exact, size=Size, elements=Es}, - RecSize, RecTag, Ts) -> + RecSize, #b_literal{val=TagVal}=RecTag, Ts) -> TagType = maps:get(1, Es, any), - TagMatch = case get_literal_from_type(TagType) of - #b_literal{}=RecTag -> yes; - #b_literal{} -> no; - none -> + TagMatch = case beam_types:get_singleton_value(TagType) of + {ok, TagVal} -> yes; + {ok, _} -> no; + error -> %% Is it at all possible for the tag to match? - case meet(get_type(RecTag, Ts), TagType) of + case beam_types:meet(get_type(RecTag, Ts), TagType) of none -> no; _ -> maybe end @@ -1363,7 +1133,7 @@ simplify_switch_bool(#b_switch{arg=B,fail=Fail,list=List0}, Ts, Ds) -> simplify_not(#b_br{bool=#b_var{}=V,succ=Succ,fail=Fail}=Br0, Ts, Ds) -> case Ds of #{V:=#b_set{op={bif,'not'},args=[Bool]}} -> - case t_is_boolean(get_type(Bool, Ts)) of + case beam_types:is_boolean_type(get_type(Bool, Ts)) of true -> Br = Br0#b_br{bool=Bool,succ=Fail,fail=Succ}, beam_ssa:normalize(Br); @@ -1442,27 +1212,29 @@ get_type(#b_var{}=V, Ts) -> get_type(#b_literal{val=Val}, _Ts) -> if is_atom(Val) -> - t_atom(Val); + beam_types:make_atom(Val); is_float(Val) -> float; is_function(Val) -> {arity,Arity} = erlang:fun_info(Val, arity), #t_fun{arity=Arity}; is_integer(Val) -> - t_integer(Val); + beam_types:make_integer(Val); is_list(Val), Val =/= [] -> cons; is_map(Val) -> - map; + #t_map{}; Val =:= {} -> - #t_tuple{exact=true}; + beam_types:make_tuple(0, true); is_tuple(Val) -> {Es, _} = foldl(fun(E, {Es0, Index}) -> - Type = get_type(#b_literal{val=E}, #{}), - Es = set_element_type(Index, Type, Es0), - {Es, Index + 1} + Type = get_type(#b_literal{val=E}, #{}), + Es = beam_types:set_element_type(Index, + Type, + Es0), + {Es, Index + 1} end, {#{}, 1}, tuple_to_list(Val)), - #t_tuple{exact=true,size=tuple_size(Val),elements=Es}; + beam_types:make_tuple(tuple_size(Val), true, Es); Val =:= [] -> nil; true -> @@ -1492,8 +1264,7 @@ get_type(#b_literal{val=Val}, _Ts) -> infer_types_br(#b_var{}=V, Ts, #d{ds=Ds}) -> #{V:=#b_set{op=Op,args=Args}} = Ds, - PosTypes0 = infer_type(Op, Args, Ds), - NegTypes0 = infer_type_negative(Op, Args, Ds), + {PosTypes0, NegTypes0} = infer_type(Op, Args, Ts, Ds), %% We must be careful with types inferred from '=:='. %% @@ -1506,7 +1277,7 @@ infer_types_br(#b_var{}=V, Ts, #d{ds=Ds}) -> %% it is single-valued, e.g. if it is [] or the atom 'true'. EqTypes = infer_eq_type(Op, Args, Ts, Ds), - NegTypes1 = [P || {_,T}=P <- EqTypes, is_singleton_type(T)], + NegTypes1 = [P || {_,T}=P <- EqTypes, beam_types:is_singleton_type(T)], PosTypes = EqTypes ++ PosTypes0, SuccTs = meet_types(PosTypes, Ts), @@ -1530,7 +1301,7 @@ infer_eq_type({bif,'=:='}, [#b_var{}=Arg0,#b_var{}=Arg1], Ts, _Ds) -> %% be inferred that L1 is 'cons' (the meet of 'cons' and 'list'). Type0 = get_type(Arg0, Ts), Type1 = get_type(Arg1, Ts), - Type = meet(Type0, Type1), + Type = beam_types:meet(Type0, Type1), [{V,MeetType} || {V,OrigType,MeetType} <- [{Arg0,Type0,Type},{Arg1,Type1,Type}], @@ -1545,177 +1316,72 @@ infer_eq_lit(#b_set{op=get_tuple_element, args=[#b_var{}=Tuple,#b_literal{val=N}]}, #b_literal{}=Lit) -> Index = N + 1, - Es = set_element_type(Index, get_type(Lit, #{}), #{}), + Es = beam_types:set_element_type(Index, get_type(Lit, #{}), #{}), [{Tuple,#t_tuple{size=Index,elements=Es}}]; infer_eq_lit(_, _) -> []. -infer_type_negative(Op, Args, Ds) -> - case is_negative_inference_safe(Op, Args) of - true -> - infer_type(Op, Args, Ds); - false -> - [] - end. - -%% Conservative list of instructions for which negative -%% inference is safe. -is_negative_inference_safe(is_nonempty_list, _Args) -> true; -is_negative_inference_safe(_, _) -> false. - -infer_type({bif,element}, [#b_literal{val=Pos},#b_var{}=Tuple], _Ds) -> - if - is_integer(Pos), 1 =< Pos -> - [{Tuple,#t_tuple{size=Pos}}]; - true -> - [] - end; -infer_type({bif,element}, [#b_var{}=Position,#b_var{}=Tuple], _Ds) -> - [{Position,t_integer()},{Tuple,#t_tuple{}}]; -infer_type({bif,Bif}, [#b_var{}=Src]=Args, _Ds) -> - case inferred_bif_type(Bif, Args) of - any -> []; - T -> [{Src,T}] - end; -infer_type({bif,binary_part}, [#b_var{}=Src,_], _Ds) -> - [{Src,{binary,8}}]; -infer_type({bif,is_map_key}, [_,#b_var{}=Src], _Ds) -> - [{Src,map}]; -infer_type({bif,map_get}, [_,#b_var{}=Src], _Ds) -> - [{Src,map}]; -infer_type({bif,Bif}, [_,_]=Args, _Ds) -> - case inferred_bif_type(Bif, Args) of - any -> []; - T -> [{A,T} || #b_var{}=A <- Args] - end; -infer_type({bif,binary_part}, [#b_var{}=Src,Pos,Len], _Ds) -> - [{Src,{binary,8}}| - [{V,t_integer()} || #b_var{}=V <- [Pos,Len]]]; -infer_type(bs_start_match, [#b_var{}=Bin], _Ds) -> - [{Bin,{binary,1}}]; -infer_type(is_nonempty_list, [#b_var{}=Src], _Ds) -> - [{Src,cons}]; -infer_type(is_tagged_tuple, [#b_var{}=Src,#b_literal{val=Size}, - #b_literal{}=Tag], _Ds) -> - Es = set_element_type(1, get_type(Tag, #{}), #{}), - [{Src,#t_tuple{exact=true,size=Size,elements=Es}}]; -infer_type(succeeded, [#b_var{}=Src], Ds) -> +infer_type(succeeded, [#b_var{}=Src], Ts, Ds) -> #b_set{op=Op,args=Args} = maps:get(Src, Ds), - infer_type(Op, Args, Ds); -infer_type(_Op, _Args, _Ds) -> - []. - -%% bif_type(Name, Args) -> Type -%% Return the return type for the guard BIF or operator Name with -%% arguments Args. -%% -%% Note that that the following BIFs are handle elsewhere: -%% -%% band/2 - -bif_type(abs, [_]) -> number; -bif_type(bit_size, [_]) -> t_integer(); -bif_type(byte_size, [_]) -> t_integer(); -bif_type(ceil, [_]) -> t_integer(); -bif_type(float, [_]) -> float; -bif_type(floor, [_]) -> t_integer(); -bif_type(is_map_key, [_,_]) -> t_boolean(); -bif_type(length, [_]) -> t_integer(); -bif_type(map_size, [_]) -> t_integer(); -bif_type(node, []) -> #t_atom{}; -bif_type(node, [_]) -> #t_atom{}; -bif_type(round, [_]) -> t_integer(); -bif_type(size, [_]) -> t_integer(); -bif_type(trunc, [_]) -> t_integer(); -bif_type(tuple_size, [_]) -> t_integer(); -bif_type('bnot', [_]) -> t_integer(); -bif_type('bor', [_,_]) -> t_integer(); -bif_type('bsl', [_,_]) -> t_integer(); -bif_type('bsr', [_,_]) -> t_integer(); -bif_type('bxor', [_,_]) -> t_integer(); -bif_type('div', [_,_]) -> t_integer(); -bif_type('rem', [_,_]) -> t_integer(); -bif_type('/', [_,_]) -> float; -bif_type(Name, Args) -> - Arity = length(Args), - case erl_internal:new_type_test(Name, Arity) orelse - erl_internal:bool_op(Name, Arity) orelse - erl_internal:comp_op(Name, Arity) of - true -> - t_boolean(); - false -> - case erl_internal:arith_op(Name, Arity) of - true -> number; - false -> any - end - end. + infer_type(Op, Args, Ts, Ds); +infer_type(bs_start_match, [#b_var{}=Bin], _Ts, _Ds) -> + T = {Bin,#t_bitstring{}}, + {[T], [T]}; +infer_type(is_nonempty_list, [#b_var{}=Src], _Ts, _Ds) -> + T = {Src,cons}, + {[T], [T]}; +infer_type(is_tagged_tuple, [#b_var{}=Src,#b_literal{val=Size}, + #b_literal{}=Tag], _Ts, _Ds) -> + Es = beam_types:set_element_type(1, get_type(Tag, #{}), #{}), + T = {Src,#t_tuple{exact=true,size=Size,elements=Es}}, + {[T], [T]}; + +%% Type tests are handled separately from other BIFs as we're inferring types +%% based on their result rather than whether they succeeded, so we know that +%% subtraction is always safe. +infer_type({bif,is_atom}, [Arg], _Ts, _Ds) -> + T = {Arg, #t_atom{}}, + {[T], [T]}; +infer_type({bif,is_binary}, [Arg], _Ts, _Ds) -> + T = {Arg, #t_bitstring{unit=8}}, + {[T], [T]}; +infer_type({bif,is_bitstring}, [Arg], _Ts, _Ds) -> + T = {Arg, #t_bitstring{}}, + {[T], [T]}; +infer_type({bif,is_boolean}, [Arg], _Ts, _Ds) -> + T = {Arg, beam_types:make_boolean()}, + {[T], [T]}; +infer_type({bif,is_float}, [Arg], _Ts, _Ds) -> + T = {Arg, float}, + {[T], [T]}; +infer_type({bif,is_integer}, [Arg], _Ts, _Ds) -> + T = {Arg, #t_integer{}}, + {[T], [T]}; +infer_type({bif,is_list}, [Arg], _Ts, _Ds) -> + T = {Arg, list}, + {[T], [T]}; +infer_type({bif,is_map}, [Arg], _Ts, _Ds) -> + T = {Arg, #t_map{}}, + {[T], [T]}; +infer_type({bif,is_number}, [Arg], _Ts, _Ds) -> + T = {Arg, number}, + {[T], [T]}; +infer_type({bif,is_tuple}, [Arg], _Ts, _Ds) -> + T = {Arg, #t_tuple{}}, + {[T], [T]}; + +infer_type({bif,Op}, Args, Ts, _Ds) -> + ArgTypes = get_types(Args, Ts), + + {_, PosTypes0, CanSubtract} = beam_call_types:types(erlang, Op, ArgTypes), + PosTypes = [T || {#b_var{},_}=T <- zip(Args, PosTypes0)], + + case CanSubtract of + true -> {PosTypes, PosTypes}; + false -> {PosTypes, []} + end; -inferred_bif_type(is_atom, [_]) -> t_atom(); -inferred_bif_type(is_binary, [_]) -> {binary,8}; -inferred_bif_type(is_bitstring, [_]) -> {binary,1}; -inferred_bif_type(is_boolean, [_]) -> t_boolean(); -inferred_bif_type(is_float, [_]) -> float; -inferred_bif_type(is_integer, [_]) -> t_integer(); -inferred_bif_type(is_list, [_]) -> list; -inferred_bif_type(is_map, [_]) -> map; -inferred_bif_type(is_number, [_]) -> number; -inferred_bif_type(is_tuple, [_]) -> #t_tuple{}; -inferred_bif_type(abs, [_]) -> number; -inferred_bif_type(bit_size, [_]) -> {binary,1}; -inferred_bif_type('bnot', [_]) -> t_integer(); -inferred_bif_type(byte_size, [_]) -> {binary,1}; -inferred_bif_type(ceil, [_]) -> number; -inferred_bif_type(float, [_]) -> number; -inferred_bif_type(floor, [_]) -> number; -inferred_bif_type(hd, [_]) -> cons; -inferred_bif_type(length, [_]) -> list; -inferred_bif_type(map_size, [_]) -> map; -inferred_bif_type('not', [_]) -> t_boolean(); -inferred_bif_type(round, [_]) -> number; -inferred_bif_type(trunc, [_]) -> number; -inferred_bif_type(tl, [_]) -> cons; -inferred_bif_type(tuple_size, [_]) -> #t_tuple{}; -inferred_bif_type('and', [_,_]) -> t_boolean(); -inferred_bif_type('or', [_,_]) -> t_boolean(); -inferred_bif_type('xor', [_,_]) -> t_boolean(); -inferred_bif_type('band', [_,_]) -> t_integer(); -inferred_bif_type('bor', [_,_]) -> t_integer(); -inferred_bif_type('bsl', [_,_]) -> t_integer(); -inferred_bif_type('bsr', [_,_]) -> t_integer(); -inferred_bif_type('bxor', [_,_]) -> t_integer(); -inferred_bif_type('div', [_,_]) -> t_integer(); -inferred_bif_type('rem', [_,_]) -> t_integer(); -inferred_bif_type('+', [_,_]) -> number; -inferred_bif_type('-', [_,_]) -> number; -inferred_bif_type('*', [_,_]) -> number; -inferred_bif_type('/', [_,_]) -> number; -inferred_bif_type(_, _) -> any. - -is_math_bif(cos, 1) -> true; -is_math_bif(cosh, 1) -> true; -is_math_bif(sin, 1) -> true; -is_math_bif(sinh, 1) -> true; -is_math_bif(tan, 1) -> true; -is_math_bif(tanh, 1) -> true; -is_math_bif(acos, 1) -> true; -is_math_bif(acosh, 1) -> true; -is_math_bif(asin, 1) -> true; -is_math_bif(asinh, 1) -> true; -is_math_bif(atan, 1) -> true; -is_math_bif(atanh, 1) -> true; -is_math_bif(erf, 1) -> true; -is_math_bif(erfc, 1) -> true; -is_math_bif(exp, 1) -> true; -is_math_bif(log, 1) -> true; -is_math_bif(log2, 1) -> true; -is_math_bif(log10, 1) -> true; -is_math_bif(sqrt, 1) -> true; -is_math_bif(atan2, 2) -> true; -is_math_bif(pow, 2) -> true; -is_math_bif(ceil, 1) -> true; -is_math_bif(floor, 1) -> true; -is_math_bif(fmod, 2) -> true; -is_math_bif(pi, 0) -> true; -is_math_bif(_, _) -> false. +infer_type(_Op, _Args, _Ts, _Ds) -> + {[], []}. join_types(Ts0, Ts1) -> if @@ -1730,7 +1396,7 @@ join_types_1([V|Vs], Ts0, Ts1) -> {#{V:=Same},#{V:=Same}} -> join_types_1(Vs, Ts0, Ts1); {#{V:=T0},#{V:=T1}} -> - case join(T0, T1) of + case beam_types:join(T0, T1) of T1 -> join_types_1(Vs, Ts0, Ts1); T -> @@ -1742,332 +1408,18 @@ join_types_1([V|Vs], Ts0, Ts1) -> join_types_1([], Ts0, Ts1) -> maps:merge(Ts0, Ts1). -join([T1,T2|Ts]) -> - join([join(T1, T2)|Ts]); -join([T]) -> T. - -get_literal_from_type(#t_atom{elements=[Atom]}) -> - #b_literal{val=Atom}; -get_literal_from_type(#t_integer{elements={Int,Int}}) -> - #b_literal{val=Int}; -get_literal_from_type(nil) -> - #b_literal{val=[]}; -get_literal_from_type(_) -> none. - -remove_element_info(#t_integer{elements={Min,Max}}, Es) -> - foldl(fun(El, Acc) when Min =< El, El =< Max -> - maps:remove(El, Acc); - (_El, Acc) -> Acc - end, Es, maps:keys(Es)). - -t_atom() -> - #t_atom{elements=any}. - -t_atom(Atom) when is_atom(Atom) -> - #t_atom{elements=[Atom]}. - -t_boolean() -> - #t_atom{elements=[false,true]}. - -t_integer() -> - #t_integer{elements=any}. - -t_integer(Int) when is_integer(Int) -> - #t_integer{elements={Int,Int}}. - -t_integer(Min, Max) when is_integer(Min), is_integer(Max) -> - #t_integer{elements={Min,Max}}. - -t_is_boolean(#t_atom{elements=[F,T]}) -> - F =:= false andalso T =:= true; -t_is_boolean(#t_atom{elements=[B]}) -> - is_boolean(B); -t_is_boolean(_) -> false. - -t_tuple_size(#t_tuple{size=Size,exact=false}) -> - {at_least,Size}; -t_tuple_size(#t_tuple{size=Size,exact=true}) -> - {exact,Size}; -t_tuple_size(_) -> - none. - -is_singleton_type(Type) -> - get_literal_from_type(Type) =/= none. - -get_element_type(Index, Es) -> - case Es of - #{ Index := T } -> T; - #{} -> any - end. - -set_element_type(_Key, none, Es) -> - Es; -set_element_type(Key, any, Es) -> - maps:remove(Key, Es); -set_element_type(Key, Type, Es) -> - Es#{ Key => Type }. - -%% join(Type1, Type2) -> Type -%% Return the "join" of Type1 and Type2. The join is a more general -%% type than Type1 and Type2. For example: -%% -%% join(#t_integer{elements=any}, #t_integer=elements={0,3}}) -> -%% #t_integer{} -%% -%% The join for two different types result in 'any', which is -%% the top element for our type lattice: -%% -%% join(#t_integer{}, map) -> any - --spec join(type(), type()) -> type(). - -join(T, T) -> - verified_type(T); -join(none, T) -> - verified_type(T); -join(T, none) -> - verified_type(T); -join(any, _) -> any; -join(_, any) -> any; -join(#t_atom{elements=[_|_]=Set1}, #t_atom{elements=[_|_]=Set2}) -> - Set = ordsets:union(Set1, Set2), - case ordsets:size(Set) of - Size when Size =< ?ATOM_SET_SIZE -> - #t_atom{elements=Set}; - _Size -> - #t_atom{elements=any} - end; -join(#t_atom{elements=any}=T, #t_atom{elements=[_|_]}) -> T; -join(#t_atom{elements=[_|_]}, #t_atom{elements=any}=T) -> T; -join({binary,U1}, {binary,U2}) -> - {binary,gcd(U1, U2)}; -join(#t_fun{}, #t_fun{}) -> #t_fun{}; -join(#t_integer{}, #t_integer{}) -> t_integer(); -join(list, cons) -> list; -join(cons, list) -> list; -join(nil, cons) -> list; -join(cons, nil) -> list; -join(nil, list) -> list; -join(list, nil) -> list; -join(#t_integer{}, float) -> number; -join(float, #t_integer{}) -> number; -join(#t_integer{}, number) -> number; -join(number, #t_integer{}) -> number; -join(float, number) -> number; -join(number, float) -> number; -join(#t_tuple{size=Sz,exact=ExactA,elements=EsA}, - #t_tuple{size=Sz,exact=ExactB,elements=EsB}) -> - Exact = ExactA and ExactB, - Es = join_tuple_elements(Sz, EsA, EsB), - #t_tuple{size=Sz,exact=Exact,elements=Es}; -join(#t_tuple{size=SzA,elements=EsA}, #t_tuple{size=SzB,elements=EsB}) -> - Sz = min(SzA, SzB), - Es = join_tuple_elements(Sz, EsA, EsB), - #t_tuple{size=Sz,elements=Es}; -join(_T1, _T2) -> - %%io:format("~p ~p\n", [_T1,_T2]), - any. - -join_tuple_elements(MinSize, EsA, EsB) -> - Es0 = join_elements(EsA, EsB), - maps:filter(fun(Index, _Type) -> Index =< MinSize end, Es0). - -join_elements(Es1, Es2) -> - Keys = if - map_size(Es1) =< map_size(Es2) -> maps:keys(Es1); - map_size(Es1) > map_size(Es2) -> maps:keys(Es2) - end, - join_elements_1(Keys, Es1, Es2, #{}). - -join_elements_1([Key | Keys], Es1, Es2, Acc0) -> - case {Es1, Es2} of - {#{ Key := Type1 }, #{ Key := Type2 }} -> - Acc = set_element_type(Key, join(Type1, Type2), Acc0), - join_elements_1(Keys, Es1, Es2, Acc); - {#{}, #{}} -> - join_elements_1(Keys, Es1, Es2, Acc0) - end; -join_elements_1([], _Es1, _Es2, Acc) -> - Acc. - -gcd(A, B) -> - case A rem B of - 0 -> B; - X -> gcd(B, X) - end. - meet_types([{V,T0}|Vs], Ts) -> #{V:=T1} = Ts, - case meet(T0, T1) of + case beam_types:meet(T0, T1) of T1 -> meet_types(Vs, Ts); T -> meet_types(Vs, Ts#{V:=T}) end; meet_types([], Ts) -> Ts. -meet([T1,T2|Ts]) -> - meet([meet(T1, T2)|Ts]); -meet([T]) -> T. - subtract_types([{V,T0}|Vs], Ts) -> #{V:=T1} = Ts, - case subtract(T1, T0) of + case beam_types:subtract(T1, T0) of T1 -> subtract_types(Vs, Ts); T -> subtract_types(Vs, Ts#{V:=T}) end; subtract_types([], Ts) -> Ts. - -%% subtract(Type1, Type2) -> Type. -%% Subtract Type2 from Type1. Example: -%% -%% subtract(list, cons) -> nil - -subtract(#t_atom{elements=[_|_]=Set0}, #t_atom{elements=[_|_]=Set1}) -> - case ordsets:subtract(Set0, Set1) of - [] -> none; - [_|_]=Set -> #t_atom{elements=Set} - end; -subtract(number, float) -> #t_integer{}; -subtract(number, #t_integer{elements=any}) -> float; -subtract(list, cons) -> nil; -subtract(list, nil) -> cons; -subtract(T, _) -> T. - -%% meet(Type1, Type2) -> Type -%% Return the "meet" of Type1 and Type2. The meet is a narrower -%% type than Type1 and Type2. For example: -%% -%% meet(#t_integer{elements=any}, #t_integer{elements={0,3}}) -> -%% #t_integer{elements={0,3}} -%% -%% The meet for two different types result in 'none', which is -%% the bottom element for our type lattice: -%% -%% meet(#t_integer{}, map) -> none - --spec meet(type(), type()) -> type(). - -meet(T, T) -> - verified_type(T); -meet(#t_atom{elements=[_|_]=Set1}, #t_atom{elements=[_|_]=Set2}) -> - case ordsets:intersection(Set1, Set2) of - [] -> - none; - [_|_]=Set -> - #t_atom{elements=Set} - end; -meet(#t_atom{elements=[_|_]}=T, #t_atom{elements=any}) -> - T; -meet(#t_atom{elements=any}, #t_atom{elements=[_|_]}=T) -> - T; -meet(#t_fun{arity=any}, #t_fun{}=T) -> - T; -meet(#t_fun{}=T, #t_fun{arity=any}) -> - T; -meet(#t_integer{elements={_,_}}=T, #t_integer{elements=any}) -> - T; -meet(#t_integer{elements=any}, #t_integer{elements={_,_}}=T) -> - T; -meet(#t_integer{elements={Min1,Max1}}, - #t_integer{elements={Min2,Max2}}) -> - #t_integer{elements={max(Min1, Min2),min(Max1, Max2)}}; -meet(#t_integer{}=T, number) -> T; -meet(float=T, number) -> T; -meet(number, #t_integer{}=T) -> T; -meet(number, float=T) -> T; -meet(list, cons) -> cons; -meet(list, nil) -> nil; -meet(cons, list) -> cons; -meet(nil, list) -> nil; -meet(#t_tuple{}=T1, #t_tuple{}=T2) -> - meet_tuples(T1, T2); -meet({binary,U1}, {binary,U2}) -> - {binary,max(U1, U2)}; -meet(any, T) -> - verified_type(T); -meet(T, any) -> - verified_type(T); -meet(_, _) -> - %% Inconsistent types. There will be an exception at runtime. - none. - -meet_tuples(#t_tuple{size=Sz1,exact=true}, - #t_tuple{size=Sz2,exact=true}) when Sz1 =/= Sz2 -> - none; -meet_tuples(#t_tuple{size=Sz1,exact=Ex1,elements=Es1}, - #t_tuple{size=Sz2,exact=Ex2,elements=Es2}) -> - Size = max(Sz1, Sz2), - Exact = Ex1 or Ex2, - case meet_elements(Es1, Es2) of - none -> - none; - Es -> - #t_tuple{size=Size,exact=Exact,elements=Es} - end. - -meet_elements(Es1, Es2) -> - Keys = maps:keys(Es1) ++ maps:keys(Es2), - meet_elements_1(Keys, Es1, Es2, #{}). - -meet_elements_1([Key | Keys], Es1, Es2, Acc) -> - case {Es1, Es2} of - {#{ Key := Type1 }, #{ Key := Type2 }} -> - case meet(Type1, Type2) of - none -> none; - Type -> meet_elements_1(Keys, Es1, Es2, Acc#{ Key => Type }) - end; - {#{ Key := Type1 }, _} -> - meet_elements_1(Keys, Es1, Es2, Acc#{ Key => Type1 }); - {_, #{ Key := Type2 }} -> - meet_elements_1(Keys, Es1, Es2, Acc#{ Key => Type2 }) - end; -meet_elements_1([], _Es1, _Es2, Acc) -> - Acc. - -%% verified_type(Type) -> Type -%% Returns the passed in type if it is one of the defined types. -%% Crashes if there is anything wrong with the type. -%% -%% Here are all possible types: -%% -%% any Any Erlang term (top element for the type lattice). -%% -%% #t_atom{} Any atom or some specific atoms. -%% {binary,Unit} Binary/bitstring aligned to unit Unit. -%% float Floating point number. -%% #t_integer{} Integer -%% list Empty or nonempty list. -%% map Map. -%% nil Empty list. -%% cons Cons (nonempty list). -%% number A number (float or integer). -%% #t_tuple{} Tuple. -%% -%% none No type (bottom element for the type lattice). - --spec verified_type(T) -> T when - T :: type(). - -verified_type(any=T) -> T; -verified_type(none=T) -> T; -verified_type(#t_atom{elements=any}=T) -> T; -verified_type(#t_atom{elements=[_|_]}=T) -> T; -verified_type({binary,U}=T) when is_integer(U) -> T; -verified_type(#t_fun{arity=Arity}=T) when Arity =:= any; is_integer(Arity) -> T; -verified_type(#t_integer{elements=any}=T) -> T; -verified_type(#t_integer{elements={Min,Max}}=T) - when is_integer(Min), is_integer(Max) -> T; -verified_type(list=T) -> T; -verified_type(map=T) -> T; -verified_type(nil=T) -> T; -verified_type(cons=T) -> T; -verified_type(number=T) -> T; -verified_type(#t_tuple{size=Size,elements=Es}=T) -> - %% All known elements must have a valid index and type. 'any' is prohibited - %% since it's implicit and should never be present in the map. - maps:fold(fun(Index, Element, _) when is_integer(Index), - 1 =< Index, Index =< Size, - Element =/= any, Element =/= none -> - verified_type(Element) - end, [], Es), - T; -verified_type(float=T) -> T. diff --git a/lib/compiler/src/beam_types.erl b/lib/compiler/src/beam_types.erl new file mode 100644 index 0000000000..c3ad594304 --- /dev/null +++ b/lib/compiler/src/beam_types.erl @@ -0,0 +1,382 @@ +%% +%% %CopyrightBegin% +%% +%% Copyright Ericsson AB 2019. All Rights Reserved. +%% +%% Licensed under the Apache License, Version 2.0 (the "License"); +%% you may not use this file except in compliance with the License. +%% You may obtain a copy of the License at +%% +%% http://www.apache.org/licenses/LICENSE-2.0 +%% +%% Unless required by applicable law or agreed to in writing, software +%% distributed under the License is distributed on an "AS IS" BASIS, +%% WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +%% See the License for the specific language governing permissions and +%% limitations under the License. +%% +%% %CopyrightEnd% +%% + +-module(beam_types). + +-include("beam_types.hrl"). + +-export([meet/1, meet/2, join/1, join/2, subtract/2]). + +-export([get_singleton_value/1, + get_tuple_size/1, + is_singleton_type/1, + is_boolean_type/1]). + +-export([get_element_type/2, set_element_type/3]). + +-export([make_atom/1, + make_boolean/0, + make_integer/1, + make_integer/2, + make_tuple/2, + make_tuple/3]). + +%% Return the "join" of Type1 and Type2. The join is a more general +%% type than Type1 and Type2. For example: +%% +%% join(#t_integer{elements=any}, #t_integer=elements={0,3}}) -> +%% #t_integer{} +%% +%% The join for two different types result in 'any', which is +%% the top element for our type lattice: +%% +%% join(#t_integer{}, #t_map{}) -> any + +-spec join(type(), type()) -> type(). + +join(T, T) -> + verified_type(T); +join(none, T) -> + verified_type(T); +join(T, none) -> + verified_type(T); +join(any, _) -> any; +join(_, any) -> any; +join(#t_atom{elements=[_|_]=Set1}, #t_atom{elements=[_|_]=Set2}) -> + Set = ordsets:union(Set1, Set2), + case ordsets:size(Set) of + Size when Size =< ?ATOM_SET_SIZE -> + #t_atom{elements=Set}; + _Size -> + #t_atom{elements=any} + end; +join(#t_atom{elements=any}=T, #t_atom{elements=[_|_]}) -> T; +join(#t_atom{elements=[_|_]}, #t_atom{elements=any}=T) -> T; +join(#t_bitstring{unit=U1}, #t_bitstring{unit=U2}) -> + #t_bitstring{unit=gcd(U1, U2)}; +join(#t_fun{}, #t_fun{}) -> + #t_fun{}; +join(#t_integer{elements={MinA,MaxA}}, + #t_integer{elements={MinB,MaxB}}) -> + #t_integer{elements={min(MinA,MinB),max(MaxA,MaxB)}}; +join(#t_bs_context{slots=SlotsA,valid=ValidA}, + #t_bs_context{slots=SlotsB,valid=ValidB}) -> + #t_bs_context{slots=min(SlotsA, SlotsB), + valid=ValidA band ValidB}; +join(#t_integer{}, #t_integer{}) -> #t_integer{}; +join(list, cons) -> list; +join(cons, list) -> list; +join(nil, cons) -> list; +join(cons, nil) -> list; +join(nil, list) -> list; +join(list, nil) -> list; +join(#t_integer{}, float) -> number; +join(float, #t_integer{}) -> number; +join(#t_integer{}, number) -> number; +join(number, #t_integer{}) -> number; +join(float, number) -> number; +join(number, float) -> number; +join(#t_tuple{size=Sz,exact=ExactA,elements=EsA}, + #t_tuple{size=Sz,exact=ExactB,elements=EsB}) -> + Exact = ExactA and ExactB, + Es = join_tuple_elements(Sz, EsA, EsB), + #t_tuple{size=Sz,exact=Exact,elements=Es}; +join(#t_tuple{size=SzA,elements=EsA}, #t_tuple{size=SzB,elements=EsB}) -> + Sz = min(SzA, SzB), + Es = join_tuple_elements(Sz, EsA, EsB), + #t_tuple{size=Sz,elements=Es}; +join(_T1, _T2) -> + %%io:format("~p ~p\n", [_T1,_T2]), + any. + +join_tuple_elements(MinSize, EsA, EsB) -> + Es0 = join_elements(EsA, EsB), + maps:filter(fun(Index, _Type) -> Index =< MinSize end, Es0). + +join_elements(Es1, Es2) -> + Keys = if + map_size(Es1) =< map_size(Es2) -> maps:keys(Es1); + map_size(Es1) > map_size(Es2) -> maps:keys(Es2) + end, + join_elements_1(Keys, Es1, Es2, #{}). + +join_elements_1([Key | Keys], Es1, Es2, Acc0) -> + case {Es1, Es2} of + {#{ Key := Type1 }, #{ Key := Type2 }} -> + Acc = set_element_type(Key, join(Type1, Type2), Acc0), + join_elements_1(Keys, Es1, Es2, Acc); + {#{}, #{}} -> + join_elements_1(Keys, Es1, Es2, Acc0) + end; +join_elements_1([], _Es1, _Es2, Acc) -> + Acc. + +gcd(A, B) -> + case A rem B of + 0 -> B; + X -> gcd(B, X) + end. + +%% Joins all the given types into a single type. +-spec join([type()]) -> type(). + +join([T1,T2|Ts]) -> + join([join(T1, T2)|Ts]); +join([T]) -> T. + +%% Return the "meet" of Type1 and Type2. The meet is a narrower +%% type than Type1 and Type2. For example: +%% +%% meet(#t_integer{elements=any}, #t_integer{elements={0,3}}) -> +%% #t_integer{elements={0,3}} +%% +%% The meet for two different types result in 'none', which is +%% the bottom element for our type lattice: +%% +%% meet(#t_integer{}, #t_map{}) -> none + +-spec meet(type(), type()) -> type(). + +meet(T, T) -> + verified_type(T); +meet(#t_atom{elements=[_|_]=Set1}, #t_atom{elements=[_|_]=Set2}) -> + case ordsets:intersection(Set1, Set2) of + [] -> + none; + [_|_]=Set -> + #t_atom{elements=Set} + end; +meet(#t_atom{elements=[_|_]}=T, #t_atom{elements=any}) -> + T; +meet(#t_atom{elements=any}, #t_atom{elements=[_|_]}=T) -> + T; +meet(#t_fun{arity=any}, #t_fun{}=T) -> + T; +meet(#t_fun{}=T, #t_fun{arity=any}) -> + T; +meet(#t_integer{elements={_,_}}=T, #t_integer{elements=any}) -> + T; +meet(#t_integer{elements=any}, #t_integer{elements={_,_}}=T) -> + T; +meet(#t_integer{elements={MinA,MaxA}}, #t_integer{elements={MinB,MaxB}}) + when MinA >= MinB, MaxA =< MaxB; + MinB >= MinA, MaxB =< MaxA -> + #t_integer{elements={max(MinA, MinB),min(MaxA, MaxB)}}; +meet(#t_integer{}=T, number) -> T; +meet(float=T, number) -> T; +meet(number, #t_integer{}=T) -> T; +meet(number, float=T) -> T; +meet(list, cons) -> cons; +meet(list, nil) -> nil; +meet(cons, list) -> cons; +meet(nil, list) -> nil; +meet(#t_tuple{}=T1, #t_tuple{}=T2) -> + meet_tuples(T1, T2); +meet(#t_bitstring{unit=U1}, #t_bitstring{unit=U2}) -> + #t_bitstring{unit=U1 * U2 div gcd(U1, U2)}; +meet(any, T) -> + verified_type(T); +meet(T, any) -> + verified_type(T); +meet(_, _) -> + %% Inconsistent types. There will be an exception at runtime. + none. + +meet_tuples(#t_tuple{size=Sz1,exact=true}, + #t_tuple{size=Sz2,exact=true}) when Sz1 =/= Sz2 -> + none; +meet_tuples(#t_tuple{size=Sz1,exact=Ex1,elements=Es1}, + #t_tuple{size=Sz2,exact=Ex2,elements=Es2}) -> + Size = max(Sz1, Sz2), + Exact = Ex1 or Ex2, + case meet_elements(Es1, Es2) of + none -> + none; + Es -> + #t_tuple{size=Size,exact=Exact,elements=Es} + end. + +meet_elements(Es1, Es2) -> + Keys = maps:keys(Es1) ++ maps:keys(Es2), + meet_elements_1(Keys, Es1, Es2, #{}). + +meet_elements_1([Key | Keys], Es1, Es2, Acc) -> + case {Es1, Es2} of + {#{ Key := Type1 }, #{ Key := Type2 }} -> + case meet(Type1, Type2) of + none -> none; + Type -> meet_elements_1(Keys, Es1, Es2, Acc#{ Key => Type }) + end; + {#{ Key := Type1 }, _} -> + meet_elements_1(Keys, Es1, Es2, Acc#{ Key => Type1 }); + {_, #{ Key := Type2 }} -> + meet_elements_1(Keys, Es1, Es2, Acc#{ Key => Type2 }) + end; +meet_elements_1([], _Es1, _Es2, Acc) -> + Acc. + +%% Meets all the given types into a single type. +-spec meet([type()]) -> type(). + +meet([T1,T2|Ts]) -> + meet([meet(T1, T2)|Ts]); +meet([T]) -> T. + +%% Subtract Type2 from Type1. Example: +%% subtract(list, cons) -> nil + +-spec subtract(type(), type()) -> type(). + +subtract(#t_atom{elements=[_|_]=Set0}, #t_atom{elements=[_|_]=Set1}) -> + case ordsets:subtract(Set0, Set1) of + [] -> none; + [_|_]=Set -> #t_atom{elements=Set} + end; +subtract(number, float) -> #t_integer{}; +subtract(number, #t_integer{elements=any}) -> float; +subtract(list, cons) -> nil; +subtract(list, nil) -> cons; +subtract(T, _) -> T. + +%% Verifies that the given type is well-formed. + +-spec verified_type(T) -> T when + T :: type(). + +verified_type(any=T) -> T; +verified_type(none=T) -> T; +verified_type(#t_atom{elements=any}=T) -> T; +verified_type(#t_atom{elements=[_|_]}=T) -> T; +verified_type(#t_bitstring{unit=U}=T) when is_integer(U), U >= 1 -> T; +verified_type(#t_bs_context{}=T) -> T; +verified_type(#t_fun{arity=Arity}=T) when Arity =:= any; is_integer(Arity) -> T; +verified_type(#t_integer{elements=any}=T) -> T; +verified_type(#t_integer{elements={Min,Max}}=T) + when is_integer(Min), is_integer(Max), Min =< Max -> T; +verified_type(list=T) -> T; +verified_type(#t_map{}=T) -> T; +verified_type(nil=T) -> T; +verified_type(cons=T) -> T; +verified_type(number=T) -> T; +verified_type(#t_tuple{size=Size,elements=Es}=T) -> + %% All known elements must have a valid index and type. 'any' is prohibited + %% since it's implicit and should never be present in the map. + maps:fold(fun(Index, Element, _) when is_integer(Index), + 1 =< Index, Index =< Size, + Element =/= any, Element =/= none -> + verified_type(Element) + end, [], Es), + T; +verified_type(float=T) -> T. + +%%% +%%% Type operators +%%% + +-spec get_singleton_value(Type) -> Result when + Type :: type(), + Result :: {ok, term()} | error. +get_singleton_value(#t_atom{elements=[Atom]}) -> + {ok, Atom}; +get_singleton_value(#t_integer{elements={Int,Int}}) -> + {ok, Int}; +get_singleton_value(nil) -> + {ok, []}; +get_singleton_value(_) -> + error. + +-spec get_tuple_size(Type) -> Result when + Type :: type(), + Result :: none | {at_least, Size} | {exact, Size}, + Size :: non_neg_integer(). +get_tuple_size(#t_tuple{size=Size,exact=false}) -> + {at_least,Size}; +get_tuple_size(#t_tuple{size=Size,exact=true}) -> + {exact,Size}; +get_tuple_size(_) -> + none. + +-spec is_boolean_type(type()) -> boolean(). +is_boolean_type(#t_atom{elements=[F,T]}) -> + F =:= false andalso T =:= true; +is_boolean_type(#t_atom{elements=[B]}) -> + is_boolean(B); +is_boolean_type(_) -> false. + +-spec is_singleton_type(type()) -> boolean(). +is_singleton_type(Type) -> + get_singleton_value(Type) =/= error. + +-spec set_element_type(Key, Type, Elements) -> Elements when + Key :: term(), + Type :: type(), + Elements :: elements(). +set_element_type(_Key, none, Es) -> + Es; +set_element_type(Key, any, Es) -> + maps:remove(Key, Es); +set_element_type(Key, Type, Es) -> + Es#{ Key => Type }. + +-spec get_element_type(Key, Elements) -> type() when + Key :: term(), + Elements :: elements(). +get_element_type(Index, Es) -> + case Es of + #{ Index := T } -> T; + #{} -> any + end. + +%%% +%%% Type constructors +%%% + +-spec make_atom(atom()) -> type(). +make_atom(Atom) when is_atom(Atom) -> + #t_atom{elements=[Atom]}. + +-spec make_boolean() -> type(). +make_boolean() -> + #t_atom{elements=[false,true]}. + +-spec make_integer(integer()) -> type(). +make_integer(Int) when is_integer(Int) -> + make_integer(Int, Int). + +-spec make_integer(Min, Max) -> type() when + Min :: integer(), + Max :: integer(). +make_integer(Min, Max) when is_integer(Min), is_integer(Max), Min =< Max -> + #t_integer{elements={Min,Max}}. + +-spec make_tuple(Size, Exact) -> type() when + Size :: non_neg_integer(), + Exact :: boolean(). +make_tuple(Size, Exact) -> + make_tuple(Size, Exact, #{}). + +-spec make_tuple(Size, Exact, Elements) -> type() when + Size :: non_neg_integer(), + Exact :: boolean(), + Elements :: #{ non_neg_integer() => type() }. +make_tuple(Size, Exact, Elements) -> + #t_tuple{size=Size, + exact=Exact, + elements=Elements}. diff --git a/lib/compiler/src/beam_types.hrl b/lib/compiler/src/beam_types.hrl new file mode 100644 index 0000000000..825eca4c64 --- /dev/null +++ b/lib/compiler/src/beam_types.hrl @@ -0,0 +1,72 @@ +%% +%% %CopyrightBegin% +%% +%% Copyright Ericsson AB 2019. All Rights Reserved. +%% +%% Licensed under the Apache License, Version 2.0 (the "License"); +%% you may not use this file except in compliance with the License. +%% You may obtain a copy of the License at +%% +%% http://www.apache.org/licenses/LICENSE-2.0 +%% +%% Unless required by applicable law or agreed to in writing, software +%% distributed under the License is distributed on an "AS IS" BASIS, +%% WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +%% See the License for the specific language governing permissions and +%% limitations under the License. +%% +%% %CopyrightEnd% +%% + +%% Common term types for passes operating on beam SSA and assembly. Helper +%% functions for wrangling these can be found in beam_types.erl +%% +%% The type lattice is as follows: +%% +%% any Any Erlang term (top element). +%% +%% - #t_atom{} Atom, or a set thereof. +%% - #t_bitstring{} Bitstring. +%% - #t_bs_context{} Match context. +%% - #t_fun{} Fun. +%% - #t_map{} Map. +%% - number Any number. +%% -- float Floating point number. +%% -- integer Integer. +%% - list Any list. +%% -- cons Cons (nonempty list). +%% -- nil The empty list. +%% - #t_tuple{} Tuple. +%% - #t_abstract{} Psuedo-type used in the validator to track tuples +% under construction, match context positions, etc. +%% +%% none No type (bottom element). + +-define(ATOM_SET_SIZE, 5). + +-record(t_atom, {elements=any :: 'any' | [atom()]}). +-record(t_fun, {arity=any :: arity() | 'any'}). +-record(t_integer, {elements=any :: 'any' | {integer(),integer()}}). +-record(t_bitstring, {unit=1 :: pos_integer()}). +-record(t_bs_context, {slots=0 :: non_neg_integer(), + valid=0 :: non_neg_integer()}). +-record(t_map, {elements=#{} :: map_elements()}). +-record(t_tuple, {size=0 :: integer(), + exact=false :: boolean(), + elements=#{} :: tuple_elements()}). +-record(t_abstract, {kind :: atom()}). + +%% Known element types, unknown elements are assumed to be 'any'. The key is +%% a 1-based integer index for tuples, and a plain literal for maps (that is, +%% not wrapped in a #b_literal{}, just the value itself). + +-type tuple_elements() :: #{ Key :: pos_integer() => type() }. +-type map_elements() :: #{ Key :: term() => type() }. + +-type elements() :: tuple_elements() | map_elements(). + +-type type() :: any | none | + list | number | + #t_atom{} | #t_bitstring{} | #t_bs_context{} | #t_fun{} | + #t_integer{} | #t_map{} | #t_tuple{} | #t_abstract{} | + 'cons' | 'float' | 'nil'. diff --git a/lib/compiler/src/beam_validator.erl b/lib/compiler/src/beam_validator.erl index 717ea17475..8fe7ed8b69 100644 --- a/lib/compiler/src/beam_validator.erl +++ b/lib/compiler/src/beam_validator.erl @@ -19,6 +19,10 @@ -module(beam_validator). +-include("beam_types.hrl"). + +-define(UNICODE_MAX, (16#10FFFF)). + -compile({no_auto_import,[min/2]}). %% Avoid warning for local function error/1 clashing with autoimported BIF. @@ -26,7 +30,6 @@ %% Interface for compiler. -export([module/2, format_error/1]). --export([type_anno/1, type_anno/2, type_anno/4]). -import(lists, [dropwhile/2,foldl/3,member/2,reverse/1,sort/1,zip/2]). @@ -45,34 +48,6 @@ module({Mod,Exp,Attr,Fs,Lc}=Code, _Opts) {error,[{atom_to_list(Mod),Es}]} end. -%% Provides a stable interface for type annotations, used by certain passes to -%% indicate that we can safely assume that a register has a given type. --spec type_anno(term()) -> term(). -type_anno(atom) -> {atom,[]}; -type_anno(bool) -> bool; -type_anno({binary,_}) -> binary; -type_anno(cons) -> cons; -type_anno(float) -> {float,[]}; -type_anno(integer) -> {integer,[]}; -type_anno(list) -> list; -type_anno(map) -> map; -type_anno(match_context) -> match_context; -type_anno(number) -> number; -type_anno(nil) -> nil. - --spec type_anno(term(), term()) -> term(). -type_anno(atom, Value) when is_atom(Value) -> {atom, Value}; -type_anno(float, Value) when is_float(Value) -> {float, Value}; -type_anno(integer, Value) when is_integer(Value) -> {integer, Value}. - --spec type_anno(term(), term(), term(), term()) -> term(). -type_anno(tuple, Size, Exact, Elements) when is_integer(Size), Size >= 0, - is_map(Elements) -> - case Exact of - true -> {tuple, Size, Elements}; - false -> {tuple, [Size], Elements} - end. - -spec format_error(term()) -> iolist(). format_error({{_M,F,A},{I,Off,limit}}) -> @@ -119,7 +94,7 @@ format_error(Error) -> %% format as used in the compiler and in .S files. validate(Module, Fs) -> - Ft = index_parameter_types(Fs, []), + Ft = build_function_table(Fs, []), validate_0(Module, Fs, Ft). validate_0(_Module, [], _) -> []; @@ -149,30 +124,6 @@ validate_0(Module, [{function,Name,Ar,Entry,Code}|Fs], Ft) -> {literal, term()} | nil. --type tuple_sz() :: [non_neg_integer()] | %% Inexact - non_neg_integer(). %% Exact. - -%% Match context type. --record(ms, - {id=make_ref() :: reference(), %Unique ID. - valid=0 :: non_neg_integer(), %Valid slots - slots=0 :: non_neg_integer() %Number of slots - }). - --type type() :: binary | - cons | - list | - map | - nil | - #ms{} | - ms_position | - none | - number | - term | - tuple_in_progress | - {tuple, tuple_sz(), #{ literal() => type() }} | - literal(). - -type tag() :: initialized | uninitialized | {catchtag, [label()]} | @@ -225,36 +176,32 @@ validate_0(Module, [{function,Name,Ar,Entry,Code}|Fs], Ft) -> branched=gb_trees:empty() :: branched_tab(), %% All defined labels labels=gb_sets:empty() :: label_set(), - %% Argument information of other functions in the module + %% Information of other functions in the module ft=gb_trees:empty() :: ft_tab(), %% Counter for #value_ref{} creation ref_ctr=0 :: index() }). -index_parameter_types([{function,_,_,Entry,Code0}|Fs], Acc0) -> +build_function_table([{function,_,Arity,Entry,Code0}|Fs], Acc0) -> Code = dropwhile(fun({label,L}) when L =:= Entry -> false; (_) -> true end, Code0), case Code of [{label,Entry}|Is] -> - Acc = index_parameter_types_1(Is, Entry, Acc0), - index_parameter_types(Fs, Acc); + Info = #{ arity => Arity, + parameter_types => find_parameter_types(Is, #{}) }, + build_function_table(Fs, [{Entry, Info} | Acc0]); _ -> %% Something is seriously wrong. Ignore it for now. %% It will be detected and diagnosed later. - index_parameter_types(Fs, Acc0) + build_function_table(Fs, Acc0) end; -index_parameter_types([], Acc) -> +build_function_table([], Acc) -> gb_trees:from_orddict(sort(Acc)). -index_parameter_types_1([{'%', {type_info, Reg, Type0}} | Is], Entry, Acc) -> - Type = case Type0 of - match_context -> #ms{}; - _ -> Type0 - end, - Key = {Entry, Reg}, - index_parameter_types_1(Is, Entry, [{Key, Type} | Acc]); -index_parameter_types_1(_, _, Acc) -> +find_parameter_types([{'%', {type_info, Reg, Type}} | Is], Acc) -> + find_parameter_types(Is, Acc#{ Reg => Type }); +find_parameter_types(_, Acc) -> Acc. validate_1(Is, Name, Arity, Entry, Ft) -> @@ -326,7 +273,7 @@ init_vst(Arity, Ls1, Ls2, Ft) -> init_function_args(-1, Vst) -> Vst; init_function_args(X, Vst) -> - init_function_args(X - 1, create_term(term, argument, [], {x,X}, Vst)). + init_function_args(X - 1, create_term(any, argument, [], {x,X}, Vst)). kill_heap_allocation(St) -> St#st{h=0,hf=0}. @@ -385,7 +332,7 @@ valfun_1({bs_get_tail,Ctx,Dst,Live}, Vst0) -> verify_live(Live, Vst0), verify_y_init(Vst0), Vst = prune_x_regs(Live, Vst0), - extract_term(binary, bs_get_tail, [Ctx], Dst, Vst, Vst0); + extract_term(#t_bitstring{}, bs_get_tail, [Ctx], Dst, Vst, Vst0); valfun_1(bs_init_writable=I, Vst) -> call(I, 1, Vst); valfun_1(build_stacktrace=I, Vst) -> @@ -416,7 +363,7 @@ valfun_1({fmove,{fr,_}=Src,Dst}, Vst0) -> assert_freg_set(Src, Vst0), assert_fls(checked, Vst0), Vst = eat_heap_float(Vst0), - create_term({float,[]}, fmove, [], Dst, Vst); + create_term(float, fmove, [], Dst, Vst); valfun_1({kill,Reg}, Vst) -> create_tag(initialized, kill, [], Reg, Vst); valfun_1({init,Reg}, Vst) -> @@ -424,17 +371,16 @@ valfun_1({init,Reg}, Vst) -> valfun_1({test_heap,Heap,Live}, Vst) -> test_heap(Heap, Live, Vst); valfun_1({bif,Op,{f,_},Ss,Dst}=I, Vst) -> - case is_bif_safe(Op, length(Ss)) of - false -> - %% Since the BIF can fail, make sure that any catch state - %% is updated. - valfun_2(I, Vst); - true -> - %% It can't fail, so we finish handling it here (not updating - %% catch state). - validate_src(Ss, Vst), - Type = bif_return_type(Op, Ss, Vst), - extract_term(Type, {bif,Op}, Ss, Dst, Vst) + case beam_call_types:never_throws(erlang, Op, length(Ss)) of + true -> + %% It can't fail, so we finish handling it here (not updating + %% catch state). + {RetType, _, _} = bif_types(Op, Ss, Vst), + extract_term(RetType, {bif,Op}, Ss, Dst, Vst); + false -> + %% Since the BIF can fail, make sure that any catch state + %% is updated. + valfun_2(I, Vst) end; %% Put instructions. valfun_1({put_list,A,B,Dst}, Vst0) -> @@ -448,14 +394,15 @@ valfun_1({put_tuple2,Dst,{list,Elements}}, Vst0) -> Vst = eat_heap(Size+1, Vst0), {Es,_} = foldl(fun(Val, {Es0, Index}) -> Type = get_term_type(Val, Vst0), - Es = set_element_type({integer,Index}, Type, Es0), + Es = beam_types:set_element_type(Index, Type, Es0), {Es, Index + 1} end, {#{}, 1}, Elements), - Type = {tuple,Size,Es}, + Type = #t_tuple{exact=true,size=Size,elements=Es}, create_term(Type, put_tuple2, [], Dst, Vst); valfun_1({put_tuple,Sz,Dst}, Vst0) when is_integer(Sz) -> Vst1 = eat_heap(1, Vst0), - Vst = create_term(tuple_in_progress, put_tuple, [], Dst, Vst1), + Vst = create_term(#t_abstract{kind=tuple_in_progress}, put_tuple, [], + Dst, Vst1), #vst{current=St0} = Vst, St = St0#st{puts_left={Sz,{Dst,Sz,#{}}}}, Vst#vst{current=St}; @@ -467,12 +414,15 @@ valfun_1({put,Src}, Vst0) -> #st{puts_left=none} -> error(not_building_a_tuple); #st{puts_left={1,{Dst,Sz,Es0}}} -> - Es = Es0#{ {integer,Sz} => get_term_type(Src, Vst0) }, + ElementType = get_term_type(Src, Vst0), + Es = beam_types:set_element_type(Sz, ElementType, Es0), St = St0#st{puts_left=none}, - create_term({tuple,Sz,Es}, put_tuple, [], Dst, Vst#vst{current=St}); + Type = #t_tuple{exact=true,size=Sz,elements=Es}, + create_term(Type, put_tuple, [], Dst, Vst#vst{current=St}); #st{puts_left={PutsLeft,{Dst,Sz,Es0}}} when is_integer(PutsLeft) -> Index = Sz - PutsLeft + 1, - Es = Es0#{ {integer,Index} => get_term_type(Src, Vst0) }, + ElementType = get_term_type(Src, Vst0), + Es = beam_types:set_element_type(Index, ElementType, Es0), St = St0#st{puts_left={PutsLeft-1,{Dst,Sz,Es}}}, Vst#vst{current=St} end; @@ -486,8 +436,10 @@ valfun_1(remove_message, Vst) -> %% The message term is no longer fragile. It can be used %% without restrictions. remove_fragility(Vst); -valfun_1({'%', {type_info, Reg, match_context}}, Vst) -> - update_type(fun meet/2, #ms{}, Reg, Vst); +valfun_1({'%', {type_info, Reg, #t_bs_context{}=Type}}, Vst) -> + %% This is a gross hack, but we'll be rid of it once we have proper union + %% types. + override_type(Type, Reg, Vst); valfun_1({'%', {type_info, Reg, Type}}, Vst) -> %% Explicit type information inserted by optimization passes to indicate %% that Reg has a certain type, so that we can accept cross-function type @@ -507,15 +459,15 @@ valfun_1({line,_}, Vst) -> Vst; %% Exception generating calls valfun_1({call_ext,Live,Func}=I, Vst) -> - case call_return_type(Func, Vst) of - exception -> - verify_live(Live, Vst), + case call_types(Func, Live, Vst) of + {none, _, _} -> + verify_live(Live, Vst), %% The stack will be scanned, so Y registers %% must be initialized. verify_y_init(Vst), - kill_state(Vst); - _ -> - valfun_2(I, Vst) + kill_state(Vst); + _ -> + valfun_2(I, Vst) end; valfun_1(_I, #vst{current=#st{ct=undecided}}) -> error(unknown_catch_try_state); @@ -551,7 +503,7 @@ valfun_1({catch_end,Reg}, #vst{current=#st{ct=[Fail|_]}}=Vst0) -> case get_tag_type(Reg, Vst0) of {catchtag,Fail} -> %% {x,0} contains the caught term, if any. - create_term(term, catch_end, [], {x,0}, kill_catch_tag(Reg, Vst0)); + create_term(any, catch_end, [], {x,0}, kill_catch_tag(Reg, Vst0)); Type -> error({wrong_tag_type,Type}) end; @@ -570,31 +522,32 @@ valfun_1({try_case,Reg}, #vst{current=#st{ct=[Fail|_]}}=Vst0) -> Vst1 = prune_x_regs(0, kill_catch_tag(Reg, Vst0)), %% Class:Error:Stacktrace - Vst2 = create_term({atom,[]}, try_case, [], {x,0}, Vst1), - Vst = create_term(term, try_case, [], {x,1}, Vst2), - create_term(term, try_case, [], {x,2}, Vst); + Vst2 = create_term(#t_atom{}, try_case, [], {x,0}, Vst1), + Vst = create_term(any, try_case, [], {x,1}, Vst2), + create_term(any, try_case, [], {x,2}, Vst); Type -> error({wrong_tag_type,Type}) end; valfun_1({get_list,Src,D1,D2}, Vst0) -> assert_not_literal(Src), assert_type(cons, Src, Vst0), - Vst = extract_term(term, get_hd, [Src], D1, Vst0), - extract_term(term, get_tl, [Src], D2, Vst); + Vst = extract_term(any, get_hd, [Src], D1, Vst0), + extract_term(any, get_tl, [Src], D2, Vst); valfun_1({get_hd,Src,Dst}, Vst) -> assert_not_literal(Src), assert_type(cons, Src, Vst), - extract_term(term, get_hd, [Src], Dst, Vst); + extract_term(any, get_hd, [Src], Dst, Vst); valfun_1({get_tl,Src,Dst}, Vst) -> assert_not_literal(Src), assert_type(cons, Src, Vst), - extract_term(term, get_tl, [Src], Dst, Vst); + extract_term(any, get_tl, [Src], Dst, Vst); valfun_1({get_tuple_element,Src,N,Dst}, Vst) -> + Index = N+1, assert_not_literal(Src), - assert_type({tuple_element,N+1}, Src, Vst), - Index = {integer,N+1}, - Type = get_element_type(Index, Src, Vst), - extract_term(Type, {bif,element}, [Index, Src], Dst, Vst); + assert_type(#t_tuple{size=Index}, Src, Vst), + #t_tuple{elements=Es} = get_term_type(Src, Vst), + Type = beam_types:get_element_type(Index, Es), + extract_term(Type, {bif,element}, [{integer,Index}, Src], Dst, Vst); valfun_1({jump,{f,Lbl}}, Vst) -> branch(Lbl, Vst, fun(SuccVst) -> @@ -625,9 +578,9 @@ init_try_catch_branch(Tag, Dst, Fail, Vst0) -> %% Set the initial state at the try/catch label. Assume that Y registers %% contain terms or try/catch tags. init_catch_handler_1(Reg, initialized, Vst) -> - create_term(term, 'catch_handler', [], Reg, Vst); + create_term(any, 'catch_handler', [], Reg, Vst); init_catch_handler_1(Reg, uninitialized, Vst) -> - create_term(term, 'catch_handler', [], Reg, Vst); + create_term(any, 'catch_handler', [], Reg, Vst); init_catch_handler_1(_, _, Vst) -> Vst. @@ -689,8 +642,16 @@ valfun_4({apply,Live}, Vst) -> valfun_4({apply_last,Live,_}, Vst) -> tail_call(apply, Live+2, Vst); valfun_4({call_fun,Live}, Vst) -> - validate_src([{x,Live}], Vst), - call('fun', Live+1, Vst); + Fun = {x,Live}, + assert_term(Fun, Vst), + + %% An exception is raised on error, hence branching to 0. + branch(0, Vst, + fun(SuccVst0) -> + SuccVst = update_type(fun meet/2, #t_fun{arity=Live}, + Fun, SuccVst0), + call('fun', Live+1, SuccVst) + end); valfun_4({call,Live,Func}, Vst) -> call(Func, Live, Vst); valfun_4({call_ext,Live,Func}, Vst) -> @@ -709,53 +670,26 @@ valfun_4({call_ext_last,Live,Func,StkSize}, tail_call(Func, Live, Vst); valfun_4({call_ext_last,_,_,_}, #vst{current=#st{numy=NumY}}) -> error({allocated,NumY}); -valfun_4({make_fun2,_,_,_,Live}, Vst) -> - call(make_fun, Live, Vst); -%% Other BIFs -valfun_4({bif,element,{f,Fail},[Pos,Src],Dst}, Vst) -> - branch(Fail, Vst, - fun(SuccVst0) -> - PosType = get_term_type(Pos, SuccVst0), - TupleType = {tuple,[get_tuple_size(PosType)],#{}}, +valfun_4({make_fun2,{f,Lbl},_,_,NumFree}, #vst{ft=Ft}=Vst0) -> + #{ arity := Arity0 } = gb_trees:get(Lbl, Ft), + Arity = Arity0 - NumFree, - SuccVst1 = update_type(fun meet/2, TupleType, - Src, SuccVst0), - SuccVst = update_type(fun meet/2, {integer,[]}, - Pos, SuccVst1), + true = Arity >= 0, %Assertion. - ElementType = get_element_type(PosType, Src, SuccVst), - extract_term(ElementType, {bif,element}, [Pos,Src], - Dst, SuccVst) - end); + Vst = prune_x_regs(NumFree, Vst0), + verify_call_args(make_fun, NumFree, Vst), + verify_y_init(Vst), + + create_term(#t_fun{arity=Arity}, make_fun, [], {x,0}, Vst); +%% Other BIFs valfun_4({bif,raise,{f,0},Src,_Dst}, Vst) -> validate_src(Src, Vst), kill_state(Vst); valfun_4(raw_raise=I, Vst) -> call(I, 3, Vst); -valfun_4({bif,Op,{f,Fail},[Src]=Ss,Dst}, Vst) when Op =:= hd; Op =:= tl -> - assert_term(Src, Vst), - branch(Fail, Vst, - fun(FailVst) -> - update_type(fun subtract/2, cons, Src, FailVst) - end, - fun(SuccVst0) -> - SuccVst = update_type(fun meet/2, cons, Src, SuccVst0), - extract_term(term, {bif,Op}, Ss, Dst, SuccVst) - end); valfun_4({bif,Op,{f,Fail},Ss,Dst}, Vst) -> validate_src(Ss, Vst), - branch(Fail, Vst, - fun(SuccVst0) -> - %% Infer argument types. Note that we can't subtract - %% types as the BIF could fail for reasons other than - %% bad argument types. - ArgTypes = bif_arg_types(Op, Ss), - SuccVst = foldl(fun({Arg, T}, V) -> - update_type(fun meet/2, T, Arg, V) - end, SuccVst0, zip(Ss, ArgTypes)), - Type = bif_return_type(Op, Ss, SuccVst), - extract_term(Type, {bif,Op}, Ss, Dst, SuccVst) - end); + validate_bif(bif, Op, Fail, Ss, Dst, Vst, Vst); valfun_4({gc_bif,Op,{f,Fail},Live,Ss,Dst}, #vst{current=St0}=Vst0) -> validate_src(Ss, Vst0), verify_live(Live, Vst0), @@ -766,19 +700,7 @@ valfun_4({gc_bif,Op,{f,Fail},Live,Ss,Dst}, #vst{current=St0}=Vst0) -> St = kill_heap_allocation(St0), Vst = prune_x_regs(Live, Vst0#vst{current=St}), - branch(Fail, Vst, - fun(SuccVst0) -> - ArgTypes = bif_arg_types(Op, Ss), - SuccVst = foldl(fun({Arg, T}, V) -> - update_type(fun meet/2, T, Arg, V) - end, SuccVst0, zip(Ss, ArgTypes)), - - Type = bif_return_type(Op, Ss, SuccVst), - - %% We're passing Vst0 as the original because the - %% registers were pruned before the branch. - extract_term(Type, {gc_bif,Op}, Ss, Dst, SuccVst, Vst0) - end); + validate_bif(gc_bif, Op, Fail, Ss, Dst, Vst0, Vst); valfun_4(return, #vst{current=#st{numy=none}}=Vst) -> assert_durable_term({x,0}, Vst), kill_state(Vst); @@ -790,7 +712,7 @@ valfun_4({loop_rec,{f,Fail},Dst}, Vst) -> %% part of this term must be stored in a Y register. branch(Fail, Vst, fun(SuccVst0) -> - {Ref, SuccVst} = new_value(term, loop_rec, [], SuccVst0), + {Ref, SuccVst} = new_value(any, loop_rec, [], SuccVst0), mark_fragile(Dst, set_reg_vref(Ref, Dst, SuccVst)) end); valfun_4({wait,_}, Vst) -> @@ -810,21 +732,21 @@ valfun_4(send, Vst) -> valfun_4({set_tuple_element,Src,Tuple,N}, Vst) -> I = N + 1, assert_term(Src, Vst), - assert_type({tuple_element,I}, Tuple, Vst), + assert_type(#t_tuple{size=I}, Tuple, Vst), %% Manually update the tuple type; we can't rely on the ordinary update %% helpers as we must support overwriting (rather than just widening or %% narrowing) known elements, and we can't use extract_term either since %% the source tuple may be aliased. - {tuple, Sz, Es0} = get_term_type(Tuple, Vst), - Es = set_element_type({integer,I}, get_term_type(Src, Vst), Es0), - override_type({tuple, Sz, Es}, Tuple, Vst); + #t_tuple{elements=Es0}=Type = get_term_type(Tuple, Vst), + Es = beam_types:set_element_type(I, get_term_type(Src, Vst), Es0), + override_type(Type#t_tuple{elements=Es}, Tuple, Vst); %% Match instructions. valfun_4({select_val,Src,{f,Fail},{list,Choices}}, Vst) -> assert_term(Src, Vst), assert_choices(Choices), validate_select_val(Fail, Choices, Src, Vst); valfun_4({select_tuple_arity,Tuple,{f,Fail},{list,Choices}}, Vst) -> - assert_type(tuple, Tuple, Vst), + assert_type(#t_tuple{}, Tuple, Vst), assert_arities(Choices), validate_select_tuple_arity(Fail, Choices, Tuple, Vst); @@ -852,18 +774,34 @@ valfun_4({test,bs_skip_utf16,{f,Fail},[Ctx,Live,_]}, Vst) -> validate_bs_skip_utf(Fail, Ctx, Live, Vst); valfun_4({test,bs_skip_utf32,{f,Fail},[Ctx,Live,_]}, Vst) -> validate_bs_skip_utf(Fail, Ctx, Live, Vst); -valfun_4({test,bs_get_integer2=Op,{f,Fail},Live,[Ctx,_,_,_],Dst}, Vst) -> - validate_bs_get(Op, Fail, Ctx, Live, {integer, []}, Dst, Vst); +valfun_4({test,bs_get_integer2=Op,{f,Fail},Live, + [Ctx,{integer,Size},Unit,{field_flags,Flags}],Dst},Vst) + when Size * Unit =< 64 -> + Type = case member(unsigned, Flags) of + true -> + NumBits = Size * Unit, + beam_types:make_integer(0, (1 bsl NumBits)-1); + false -> + %% Signed integer or way too large, don't bother. + #t_integer{} + end, + validate_bs_get(Op, Fail, Ctx, Live, Type, Dst, Vst); +valfun_4({test,bs_get_integer2=Op,{f,Fail},Live, + [Ctx,_Size,_Unit,_Flags],Dst},Vst) -> + validate_bs_get(Op, Fail, Ctx, Live, #t_integer{}, Dst, Vst); valfun_4({test,bs_get_float2=Op,{f,Fail},Live,[Ctx,_,_,_],Dst}, Vst) -> - validate_bs_get(Op, Fail, Ctx, Live, {float, []}, Dst, Vst); -valfun_4({test,bs_get_binary2=Op,{f,Fail},Live,[Ctx,_,_,_],Dst}, Vst) -> - validate_bs_get(Op, Fail, Ctx, Live, binary, Dst, Vst); + validate_bs_get(Op, Fail, Ctx, Live, float, Dst, Vst); +valfun_4({test,bs_get_binary2=Op,{f,Fail},Live,[Ctx,_,Unit,_],Dst}, Vst) -> + validate_bs_get(Op, Fail, Ctx, Live, #t_bitstring{unit=Unit}, Dst, Vst); valfun_4({test,bs_get_utf8=Op,{f,Fail},Live,[Ctx,_],Dst}, Vst) -> - validate_bs_get(Op, Fail, Ctx, Live, {integer, []}, Dst, Vst); + Type = beam_types:make_integer(0, ?UNICODE_MAX), + validate_bs_get(Op, Fail, Ctx, Live, Type, Dst, Vst); valfun_4({test,bs_get_utf16=Op,{f,Fail},Live,[Ctx,_],Dst}, Vst) -> - validate_bs_get(Op, Fail, Ctx, Live, {integer, []}, Dst, Vst); + Type = beam_types:make_integer(0, ?UNICODE_MAX), + validate_bs_get(Op, Fail, Ctx, Live, Type, Dst, Vst); valfun_4({test,bs_get_utf32=Op,{f,Fail},Live,[Ctx,_],Dst}, Vst) -> - validate_bs_get(Op, Fail, Ctx, Live, {integer, []}, Dst, Vst); + Type = beam_types:make_integer(0, ?UNICODE_MAX), + validate_bs_get(Op, Fail, Ctx, Live, Type, Dst, Vst); valfun_4({bs_save2,Ctx,SavePoint}, Vst) -> bsm_save(Ctx, SavePoint, Vst); valfun_4({bs_restore2,Ctx,SavePoint}, Vst) -> @@ -873,31 +811,32 @@ valfun_4({bs_get_position, Ctx, Dst, Live}, Vst0) -> verify_live(Live, Vst0), verify_y_init(Vst0), Vst = prune_x_regs(Live, Vst0), - create_term(ms_position, bs_get_position, [Ctx], Dst, Vst, Vst0); + create_term(#t_abstract{kind=ms_position}, bs_get_position, [Ctx], + Dst, Vst, Vst0); valfun_4({bs_set_position, Ctx, Pos}, Vst) -> bsm_validate_context(Ctx, Vst), - assert_type(ms_position, Pos, Vst), + assert_type(#t_abstract{kind=ms_position}, Pos, Vst), Vst; %% Other test instructions. valfun_4({test,has_map_fields,{f,Lbl},Src,{list,List}}, Vst) -> - assert_type(map, Src, Vst), + assert_type(#t_map{}, Src, Vst), assert_unique_map_keys(List), branch(Lbl, Vst, fun(V) -> V end); valfun_4({test,is_atom,{f,Lbl},[Src]}, Vst) -> - type_test(Lbl, {atom,[]}, Src, Vst); + type_test(Lbl, #t_atom{}, Src, Vst); valfun_4({test,is_binary,{f,Lbl},[Src]}, Vst) -> - type_test(Lbl, binary, Src, Vst); + type_test(Lbl, #t_bitstring{unit=8}, Src, Vst); valfun_4({test,is_bitstr,{f,Lbl},[Src]}, Vst) -> - type_test(Lbl, binary, Src, Vst); + type_test(Lbl, #t_bitstring{}, Src, Vst); valfun_4({test,is_boolean,{f,Lbl},[Src]}, Vst) -> - type_test(Lbl, bool, Src, Vst); + type_test(Lbl, beam_types:make_boolean(), Src, Vst); valfun_4({test,is_float,{f,Lbl},[Src]}, Vst) -> - type_test(Lbl, {float,[]}, Src, Vst); + type_test(Lbl, float, Src, Vst); valfun_4({test,is_tuple,{f,Lbl},[Src]}, Vst) -> - type_test(Lbl, {tuple,[0],#{}}, Src, Vst); + type_test(Lbl, #t_tuple{}, Src, Vst); valfun_4({test,is_integer,{f,Lbl},[Src]}, Vst) -> - type_test(Lbl, {integer,[]}, Src, Vst); + type_test(Lbl, #t_integer{}, Src, Vst); valfun_4({test,is_nonempty_list,{f,Lbl},[Src]}, Vst) -> type_test(Lbl, cons, Src, Vst); valfun_4({test,is_number,{f,Lbl},[Src]}, Vst) -> @@ -905,7 +844,7 @@ valfun_4({test,is_number,{f,Lbl},[Src]}, Vst) -> valfun_4({test,is_list,{f,Lbl},[Src]}, Vst) -> type_test(Lbl, list, Src, Vst); valfun_4({test,is_map,{f,Lbl},[Src]}, Vst) -> - type_test(Lbl, map, Src, Vst); + type_test(Lbl, #t_map{}, Src, Vst); valfun_4({test,is_nil,{f,Lbl},[Src]}, Vst) -> %% is_nil is an exact check against the 'nil' value, and should not be %% treated as a simple type test. @@ -918,12 +857,13 @@ valfun_4({test,is_nil,{f,Lbl},[Src]}, Vst) -> update_eq_types(Src, nil, SuccVst) end); valfun_4({test,test_arity,{f,Lbl},[Tuple,Sz]}, Vst) when is_integer(Sz) -> - assert_type(tuple, Tuple, Vst), - Type = {tuple, Sz, #{}}, + assert_type(#t_tuple{}, Tuple, Vst), + Type = #t_tuple{exact=true,size=Sz}, type_test(Lbl, Type, Tuple, Vst); valfun_4({test,is_tagged_tuple,{f,Lbl},[Src,Sz,Atom]}, Vst) -> assert_term(Src, Vst), - Type = {tuple, Sz, #{ {integer,1} => Atom }}, + Es = #{ 1 => get_literal_type(Atom) }, + Type = #t_tuple{exact=true,size=Sz,elements=Es}, type_test(Lbl, Type, Src, Vst); valfun_4({test,is_eq_exact,{f,Lbl},[Src,Val]=Ss}, Vst) -> validate_src(Ss, Vst), @@ -952,19 +892,19 @@ valfun_4({bs_add,{f,Fail},[A,B,_],Dst}, Vst) -> assert_term(B, Vst), branch(Fail, Vst, fun(SuccVst) -> - create_term({integer,[]}, bs_add, [A, B], Dst, SuccVst) + create_term(#t_integer{}, bs_add, [A, B], Dst, SuccVst) end); valfun_4({bs_utf8_size,{f,Fail},A,Dst}, Vst) -> assert_term(A, Vst), branch(Fail, Vst, fun(SuccVst) -> - create_term({integer,[]}, bs_utf8_size, [A], Dst, SuccVst) + create_term(#t_integer{}, bs_utf8_size, [A], Dst, SuccVst) end); valfun_4({bs_utf16_size,{f,Fail},A,Dst}, Vst) -> assert_term(A, Vst), branch(Fail, Vst, fun(SuccVst) -> - create_term({integer,[]}, bs_utf16_size, [A], Dst, SuccVst) + create_term(#t_integer{}, bs_utf16_size, [A], Dst, SuccVst) end); valfun_4({bs_init2,{f,Fail},Sz,Heap,Live,_,Dst}, Vst0) -> verify_live(Live, Vst0), @@ -979,7 +919,8 @@ valfun_4({bs_init2,{f,Fail},Sz,Heap,Live,_,Dst}, Vst0) -> branch(Fail, Vst, fun(SuccVst0) -> SuccVst = prune_x_regs(Live, SuccVst0), - create_term(binary, bs_init2, [], Dst, SuccVst, SuccVst0) + create_term(#t_bitstring{unit=8}, bs_init2, [], Dst, + SuccVst, SuccVst0) end); valfun_4({bs_init_bits,{f,Fail},Sz,Heap,Live,_,Dst}, Vst0) -> verify_live(Live, Vst0), @@ -994,9 +935,9 @@ valfun_4({bs_init_bits,{f,Fail},Sz,Heap,Live,_,Dst}, Vst0) -> branch(Fail, Vst, fun(SuccVst0) -> SuccVst = prune_x_regs(Live, SuccVst0), - create_term(binary, bs_init_bits, [], Dst, SuccVst) + create_term(#t_bitstring{}, bs_init_bits, [], Dst, SuccVst) end); -valfun_4({bs_append,{f,Fail},Bits,Heap,Live,_Unit,Bin,_Flags,Dst}, Vst0) -> +valfun_4({bs_append,{f,Fail},Bits,Heap,Live,Unit,Bin,_Flags,Dst}, Vst0) -> verify_live(Live, Vst0), verify_y_init(Vst0), assert_term(Bits, Vst0), @@ -1005,14 +946,16 @@ valfun_4({bs_append,{f,Fail},Bits,Heap,Live,_Unit,Bin,_Flags,Dst}, Vst0) -> branch(Fail, Vst, fun(SuccVst0) -> SuccVst = prune_x_regs(Live, SuccVst0), - create_term(binary, bs_append, [Bin], Dst, SuccVst, SuccVst0) + create_term(#t_bitstring{unit=Unit}, bs_append, + [Bin], Dst, SuccVst, SuccVst0) end); -valfun_4({bs_private_append,{f,Fail},Bits,_Unit,Bin,_Flags,Dst}, Vst) -> +valfun_4({bs_private_append,{f,Fail},Bits,Unit,Bin,_Flags,Dst}, Vst) -> assert_term(Bits, Vst), assert_term(Bin, Vst), branch(Fail, Vst, fun(SuccVst) -> - create_term(binary, bs_private_append, [Bin], Dst, SuccVst) + create_term(#t_bitstring{unit=Unit}, bs_private_append, + [Bin], Dst, SuccVst) end); valfun_4({bs_put_string,Sz,_}, Vst) when is_integer(Sz) -> Vst; @@ -1021,39 +964,39 @@ valfun_4({bs_put_binary,{f,Fail},Sz,_,_,Src}, Vst) -> assert_term(Src, Vst), branch(Fail, Vst, fun(SuccVst) -> - update_type(fun meet/2, binary, Src, SuccVst) + update_type(fun meet/2, #t_bitstring{}, Src, SuccVst) end); valfun_4({bs_put_float,{f,Fail},Sz,_,_,Src}, Vst) -> assert_term(Sz, Vst), assert_term(Src, Vst), branch(Fail, Vst, fun(SuccVst) -> - update_type(fun meet/2, {float,[]}, Src, SuccVst) + update_type(fun meet/2, float, Src, SuccVst) end); valfun_4({bs_put_integer,{f,Fail},Sz,_,_,Src}, Vst) -> assert_term(Sz, Vst), assert_term(Src, Vst), branch(Fail, Vst, fun(SuccVst) -> - update_type(fun meet/2, {integer,[]}, Src, SuccVst) + update_type(fun meet/2, #t_integer{}, Src, SuccVst) end); valfun_4({bs_put_utf8,{f,Fail},_,Src}, Vst) -> assert_term(Src, Vst), branch(Fail, Vst, fun(SuccVst) -> - update_type(fun meet/2, {integer,[]}, Src, SuccVst) + update_type(fun meet/2, #t_integer{}, Src, SuccVst) end); valfun_4({bs_put_utf16,{f,Fail},_,Src}, Vst) -> assert_term(Src, Vst), branch(Fail, Vst, fun(SuccVst) -> - update_type(fun meet/2, {integer,[]}, Src, SuccVst) + update_type(fun meet/2, #t_integer{}, Src, SuccVst) end); valfun_4({bs_put_utf32,{f,Fail},_,Src}, Vst) -> assert_term(Src, Vst), branch(Fail, Vst, fun(SuccVst) -> - update_type(fun meet/2, {integer,[]}, Src, SuccVst) + update_type(fun meet/2, #t_integer{}, Src, SuccVst) end); %% Map instructions. valfun_4({put_map_assoc=Op,{f,Fail},Src,Dst,Live,{list,List}}, Vst) -> @@ -1067,7 +1010,7 @@ valfun_4(_, _) -> verify_get_map(Fail, Src, List, Vst0) -> assert_not_literal(Src), %OTP 22. - assert_type(map, Src, Vst0), + assert_type(#t_map{}, Src, Vst0), branch(Fail, Vst0, fun(FailVst) -> @@ -1088,7 +1031,7 @@ verify_get_map(Fail, Src, List, Vst0) -> clobber_map_vals([Key,Dst|T], Map, Vst0) -> case is_reg_defined(Dst, Vst0) of true -> - Vst = extract_term(term, {bif,map_get}, [Key, Map], Dst, Vst0), + Vst = extract_term(any, {bif,map_get}, [Key, Map], Dst, Vst0), clobber_map_vals(T, Map, Vst); false -> clobber_map_vals(T, Map, Vst0) @@ -1102,13 +1045,13 @@ extract_map_keys([]) -> []. extract_map_vals([Key,Dst|Vs], Map, Vst0, Vsti0) -> assert_term(Key, Vst0), - Vsti = extract_term(term, {bif,map_get}, [Key, Map], Dst, Vsti0), + Vsti = extract_term(any, {bif,map_get}, [Key, Map], Dst, Vsti0), extract_map_vals(Vs, Map, Vst0, Vsti); extract_map_vals([], _Map, _Vst0, Vst) -> Vst. verify_put_map(Op, Fail, Src, Dst, Live, List, Vst0) -> - assert_type(map, Src, Vst0), + assert_type(#t_map{}, Src, Vst0), verify_live(Live, Vst0), verify_y_init(Vst0), _ = [assert_term(Term, Vst0) || Term <- List], @@ -1119,10 +1062,40 @@ verify_put_map(Op, Fail, Src, Dst, Live, List, Vst0) -> SuccVst = prune_x_regs(Live, SuccVst0), Keys = extract_map_keys(List), assert_unique_map_keys(Keys), - create_term(map, Op, [Src], Dst, SuccVst, SuccVst0) + create_term(#t_map{}, Op, [Src], Dst, SuccVst, SuccVst0) end). %% +%% Common code for validating BIFs. +%% +%% OrigVst is the state we entered the instruction with, which is needed for +%% gc_bifs as X registers are pruned prior to calling this function, which may +%% have clobbered the sources. +%% +validate_bif(Kind, Op, Fail, Ss, Dst, OrigVst, Vst) -> + {Type, ArgTypes, CanSubtract} = bif_types(Op, Ss, Vst), + ZippedArgs = zip(Ss, ArgTypes), + + FailFun = case CanSubtract of + true -> + fun(FailVst0) -> + foldl(fun({A, T}, V) -> + update_type(fun subtract/2, T, A, V) + end, FailVst0, ZippedArgs) + end; + false -> + fun(S) -> S end + end, + SuccFun = fun(SuccVst0) -> + SuccVst = foldl(fun({A, T}, V) -> + update_type(fun meet/2, T, A, V) + end, SuccVst0, ZippedArgs), + extract_term(Type, {Kind,Op}, Ss, Dst, SuccVst, OrigVst) + end, + + branch(Fail, Vst, FailFun, SuccFun). + +%% %% Common code for validating bs_start_match* instructions. %% @@ -1130,18 +1103,18 @@ validate_bs_start_match(Fail, Live, Type, Src, Dst, Vst) -> verify_live(Live, Vst), verify_y_init(Vst), - %% #ms{} can represent either a match context or a term, so we have to mark - %% the source as a term if it fails with a match context as an input. This - %% hack is only needed until we get proper union types. + %% #t_bs_context{} can represent either a match context or a term, so we + %% have to mark the source as a term if it fails with a match context as an + %% input. This hack is only needed until we get proper union types. branch(Fail, Vst, fun(FailVst) -> case get_movable_term_type(Src, FailVst) of - #ms{} -> override_type(term, Src, FailVst); + #t_bs_context{} -> override_type(any, Src, FailVst); _ -> FailVst end end, fun(SuccVst0) -> - SuccVst1 = update_type(fun meet/2, binary, + SuccVst1 = update_type(fun meet/2, #t_bitstring{}, Src, SuccVst0), SuccVst = prune_x_regs(Live, SuccVst1), extract_term(Type, bs_start_match, [Src], Dst, @@ -1220,12 +1193,12 @@ kill_state(Vst) -> call(Name, Live, #vst{current=St0}=Vst0) -> verify_call_args(Name, Live, Vst0), verify_y_init(Vst0), - case call_return_type(Name, Vst0) of - Type when Type =/= exception -> - %% Type is never 'exception' because it has been handled earlier. + case call_types(Name, Live, Vst0) of + {RetType, _, _} -> + %% Type is never 'none' because it has been handled earlier. St = St0#st{f=init_fregs()}, Vst = prune_x_regs(0, Vst0#vst{current=St}), - create_term(Type, call, [], {x,0}, Vst) + create_term(RetType, call, [], {x,0}, Vst) end. %% Tail call. @@ -1240,8 +1213,15 @@ tail_call(Name, Live, Vst0) -> verify_call_args(_, 0, #vst{}) -> ok; -verify_call_args({f,Lbl}, Live, Vst) when is_integer(Live)-> - verify_local_args(Live - 1, Lbl, #{}, Vst); +verify_call_args({f,Lbl}, Live, #vst{ft=Ft}=Vst) when is_integer(Live) -> + case gb_trees:lookup(Lbl, Ft) of + {value, FuncInfo} -> + #{ arity := Live, + parameter_types := ParamTypes } = FuncInfo, + verify_local_args(Live - 1, ParamTypes, #{}, Vst); + none -> + error(local_call_to_unknown_function) + end; verify_call_args(_, Live, Vst) when is_integer(Live)-> verify_remote_args_1(Live - 1, Vst); verify_call_args(_, Live, _) -> @@ -1253,87 +1233,50 @@ verify_remote_args_1(X, Vst) -> assert_durable_term({x, X}, Vst), verify_remote_args_1(X - 1, Vst). -verify_local_args(-1, _Lbl, _CtxIds, _Vst) -> +verify_local_args(-1, _ParamTypes, _CtxIds, _Vst) -> ok; -verify_local_args(X, Lbl, CtxIds, Vst) -> +verify_local_args(X, ParamTypes, CtxRefs, Vst) -> Reg = {x, X}, assert_not_fragile(Reg, Vst), case get_movable_term_type(Reg, Vst) of - #ms{id=Id}=Type -> - case CtxIds of - #{ Id := Other } -> + #t_bs_context{}=Type -> + VRef = get_reg_vref(Reg, Vst), + case CtxRefs of + #{ VRef := Other } -> error({multiple_match_contexts, [Reg, Other]}); #{} -> - verify_arg_type(Lbl, Reg, Type, Vst), - verify_local_args(X - 1, Lbl, CtxIds#{ Id => Reg }, Vst) + verify_arg_type(Reg, Type, ParamTypes), + verify_local_args(X - 1, ParamTypes, + CtxRefs#{ VRef => Reg }, Vst) end; Type -> - verify_arg_type(Lbl, Reg, Type, Vst), - verify_local_args(X - 1, Lbl, CtxIds, Vst) + verify_arg_type(Reg, Type, ParamTypes), + verify_local_args(X - 1, ParamTypes, CtxRefs, Vst) end. %% Verifies that the given argument narrows to what the function expects. -verify_arg_type(Lbl, Reg, #ms{}, #vst{ft=Ft}) -> +verify_arg_type(Reg, #t_bs_context{}, ParamTypes) -> %% Match contexts require explicit support, and may not be passed to a %% function that accepts arbitrary terms. - case gb_trees:lookup({Lbl, Reg}, Ft) of - {value, #ms{}} -> ok; - _ -> error(no_bs_start_match2) + case ParamTypes of + #{ Reg := #t_bs_context{}} -> ok; + #{} -> error(no_bs_start_match2) end; -verify_arg_type(Lbl, Reg, GivenType, #vst{ft=Ft}) -> - case gb_trees:lookup({Lbl, Reg}, Ft) of - {value, #ms{}} -> +verify_arg_type(Reg, GivenType, ParamTypes) -> + case ParamTypes of + #{ Reg := #t_bs_context{}} -> %% Functions that accept match contexts also accept all other %% terms. This will change once we support union types. ok; - {value, RequiredType} -> - case vat_1(GivenType, RequiredType) of - true -> ok; - false -> error({bad_arg_type, Reg, GivenType, RequiredType}) + #{ Reg := RequiredType } -> + case meet(GivenType, RequiredType) of + GivenType -> ok; + _ -> error({bad_arg_type, Reg, GivenType, RequiredType}) end; - none -> + #{} -> ok end. -%% Checks whether the Given argument is compatible with the Required one. This -%% is essentially a relaxed version of 'meet(Given, Req) =:= Given', where we -%% accept that the Given value has the right type but not necessarily the exact -%% same value; if {atom,gurka} is required, we'll consider {atom,[]} valid. -%% -%% This will catch all problems that could crash the emulator, like passing a -%% 1-tuple when the callee expects a 3-tuple, but some value errors might slip -%% through. -vat_1(Same, Same) -> true; -vat_1({atom,A}, {atom,B}) -> A =:= B orelse is_list(A) orelse is_list(B); -vat_1({atom,A}, bool) -> is_boolean(A) orelse is_list(A); -vat_1(bool, {atom,B}) -> is_boolean(B) orelse is_list(B); -vat_1(cons, list) -> true; -vat_1({float,A}, {float,B}) -> A =:= B orelse is_list(A) orelse is_list(B); -vat_1({float,_}, number) -> true; -vat_1({integer,A}, {integer,B}) -> A =:= B orelse is_list(A) orelse is_list(B); -vat_1({integer,_}, number) -> true; -vat_1(_, {literal,_}) -> false; -vat_1({literal,_}=Lit, Required) -> vat_1(get_literal_type(Lit), Required); -vat_1(nil, list) -> true; -vat_1({tuple,SzA,EsA}, {tuple,SzB,EsB}) -> - if - is_list(SzB) -> - tuple_sz(SzA) >= tuple_sz(SzB) andalso vat_elements(EsA, EsB); - SzA =:= SzB -> - vat_elements(EsA, EsB); - SzA =/= SzB -> - false - end; -vat_1(_, _) -> false. - -vat_elements(EsA, EsB) -> - maps:fold(fun(Key, Req, Acc) -> - case EsA of - #{ Key := Given } -> Acc andalso vat_1(Given, Req); - #{} -> false - end - end, true, EsB). - allocate(Tag, Stk, Heap, Live, #vst{current=#st{numy=none}=St}=Vst0) -> verify_live(Live, Vst0), Vst1 = Vst0#vst{current=St#st{numy=Stk}}, @@ -1515,9 +1458,9 @@ assert_unique_map_keys([_,_|_]=Ls) -> %%% bsm_match_state() -> - #ms{}. + #t_bs_context{}. bsm_match_state(Slots) -> - #ms{slots=Slots}. + #t_bs_context{slots=Slots}. bsm_validate_context(Reg, Vst) -> _ = bsm_get_context(Reg, Vst), @@ -1525,7 +1468,7 @@ bsm_validate_context(Reg, Vst) -> bsm_get_context({Kind,_}=Reg, Vst) when Kind =:= x; Kind =:= y-> case get_movable_term_type(Reg, Vst) of - #ms{}=Ctx -> Ctx; + #t_bs_context{}=Ctx -> Ctx; _ -> error({no_bsm_context,Reg}) end; bsm_get_context(Reg, _) -> @@ -1538,8 +1481,8 @@ bsm_save(Reg, {atom,start}, Vst) -> Vst; bsm_save(Reg, SavePoint, Vst) -> case bsm_get_context(Reg, Vst) of - #ms{valid=Bits,slots=Slots}=Ctxt0 when SavePoint < Slots -> - Ctx = Ctxt0#ms{valid=Bits bor (1 bsl SavePoint),slots=Slots}, + #t_bs_context{valid=Bits,slots=Slots}=Ctxt0 when SavePoint < Slots -> + Ctx = Ctxt0#t_bs_context{valid=Bits bor (1 bsl SavePoint),slots=Slots}, override_type(Ctx, Reg, Vst); _ -> error({illegal_save,SavePoint}) end. @@ -1551,7 +1494,7 @@ bsm_restore(Reg, {atom,start}, Vst) -> Vst; bsm_restore(Reg, SavePoint, Vst) -> case bsm_get_context(Reg, Vst) of - #ms{valid=Bits,slots=Slots} when SavePoint < Slots -> + #t_bs_context{valid=Bits,slots=Slots} when SavePoint < Slots -> case Bits band (1 bsl SavePoint) of 0 -> error({illegal_restore,SavePoint,not_set}); _ -> Vst @@ -1584,7 +1527,7 @@ validate_select_tuple_arity(_Fail, _Choices, _Src, #vst{current=none}=Vst) -> %% can't reach the fail label or any of the remaining choices. Vst; validate_select_tuple_arity(Fail, [Arity,{f,L}|T], Tuple, Vst0) -> - Type = {tuple, Arity, #{}}, + Type = #t_tuple{exact=true,size=Arity}, Vst = branch(L, Vst0, fun(BranchVst) -> update_type(fun meet/2, Type, Tuple, BranchVst) @@ -1619,41 +1562,46 @@ infer_types_1(#value{op={bif,'=:='},args=[LHS,RHS]}) -> Infer_R(RHS, Infer_L(LHS, S)); (_, S) -> S end; -infer_types_1(#value{op={bif,element},args=[{integer,Index}=Key,Tuple]}) -> +infer_types_1(#value{op={bif,element},args=[{integer,Index},Tuple]}) -> fun(Val, S) -> case is_value_alive(Tuple, S) of true -> - Type = {tuple,[Index], #{ Key => get_term_type(Val, S) }}, + ElementType = get_term_type(Val, S), + Es = beam_types:set_element_type(Index, ElementType, #{}), + Type = #t_tuple{size=Index,elements=Es}, update_type(fun meet/2, Type, Tuple, S); false -> S end end; infer_types_1(#value{op={bif,is_atom},args=[Src]}) -> - infer_type_test_bif({atom,[]}, Src); + infer_type_test_bif(#t_atom{}, Src); infer_types_1(#value{op={bif,is_boolean},args=[Src]}) -> - infer_type_test_bif(bool, Src); + infer_type_test_bif(beam_types:make_boolean(), Src); infer_types_1(#value{op={bif,is_binary},args=[Src]}) -> - infer_type_test_bif(binary, Src); + infer_type_test_bif(#t_bitstring{unit=8}, Src); infer_types_1(#value{op={bif,is_bitstring},args=[Src]}) -> - infer_type_test_bif(binary, Src); + infer_type_test_bif(#t_bitstring{}, Src); infer_types_1(#value{op={bif,is_float},args=[Src]}) -> infer_type_test_bif(float, Src); infer_types_1(#value{op={bif,is_integer},args=[Src]}) -> - infer_type_test_bif({integer,{}}, Src); + infer_type_test_bif(#t_integer{}, Src); infer_types_1(#value{op={bif,is_list},args=[Src]}) -> infer_type_test_bif(list, Src); infer_types_1(#value{op={bif,is_map},args=[Src]}) -> - infer_type_test_bif(map, Src); + infer_type_test_bif(#t_map{}, Src); infer_types_1(#value{op={bif,is_number},args=[Src]}) -> infer_type_test_bif(number, Src); infer_types_1(#value{op={bif,is_tuple},args=[Src]}) -> - infer_type_test_bif({tuple,[0],#{}}, Src); + infer_type_test_bif(#t_tuple{}, Src); infer_types_1(#value{op={bif,tuple_size}, args=[Tuple]}) -> fun({integer,Arity}, S) -> case is_value_alive(Tuple, S) of - true -> update_type(fun meet/2, {tuple,Arity,#{}}, Tuple, S); - false -> S + true -> + Type = #t_tuple{exact=true,size=Arity}, + update_type(fun meet/2, Type, Tuple, S); + false -> + S end; (_, S) -> S end; @@ -1661,10 +1609,14 @@ infer_types_1(_) -> fun(_, S) -> S end. infer_type_test_bif(Type, Src) -> - fun({atom,true}, S) -> + fun({atom,Bool}, S) when is_boolean(Bool) -> case is_value_alive(Src, S) of - true -> update_type(fun meet/2, Type, Src, S); - false -> S + true when Bool =:= true -> + update_type(fun meet/2, Type, Src, S); + true when Bool =:= false -> + update_type(fun subtract/2, Type, Src, S); + false -> + S end; (_, S) -> S @@ -1778,26 +1730,52 @@ update_type(Merge, With, #value_ref{}=Ref, Vst) -> update_type(Merge, With, {Kind,_}=Reg, Vst) when Kind =:= x; Kind =:= y -> update_type(Merge, With, get_reg_vref(Reg, Vst), Vst); update_type(Merge, With, Literal, Vst) -> - assert_literal(Literal), %% Literals always retain their type, but we still need to bail on type %% conflicts. - case Merge(Literal, With) of - none -> throw({type_conflict, Literal, With}); + Type = get_literal_type(Literal), + case Merge(Type, With) of + none -> throw({type_conflict, Type, With}); _Type -> Vst end. +update_ne_types(LHS, {atom,Bool}=RHS, Vst) when is_boolean(Bool) -> + %% This is a stopgap to make negative inference work for type test BIFs + %% like is_tuple. Consider the following unoptimized code: + %% + %% {call_ext,2,{extfunc,erlang,'--',2}}. + %% {bif,is_tuple,{f,0},[{x,0}],{x,1}}. + %% {test,is_eq_exact,{x,1},{f,2},{atom,false}}. + %% ... snip ... + %% {label,1}. + %% {test,is_eq_exact,{x,1},{f,1},{atom,true}}. + %% ... unreachable because {x,0} is known to be a list, so {x,1} can't + %% be true ... + %% {label,2}. + %% ... unreachable because {x,1} is neither true nor false! ... + %% + %% If we fail to determine that the first is_eq_exact never fails, our + %% state will be inconsistent after the second is_eq_exact check; we know + %% for certain that {x,0} is a list so infer_types says it can't succeed, + %% but it can't fail either because we also know that {x,1} is a boolean, + %% and the first check ruled out 'false'. + LType = get_term_type(LHS, Vst), + RType = get_term_type(RHS, Vst), + case beam_types:is_boolean_type(LType) of + true -> update_eq_types(LHS, {atom, not Bool}, Vst); + false -> update_type(fun subtract/2, RType, LHS, Vst) + end; update_ne_types(LHS, RHS, Vst) -> %% While updating types on equality is fairly straightforward, inequality %% is a bit trickier since all we know is that the *value* of LHS differs %% from RHS, so we can't blindly subtract their types. %% - %% Consider `number =/= {integer,[]}`; all we know is that LHS isn't equal + %% Consider `number =/= #t_integer{}`; all we know is that LHS isn't equal %% to some *specific integer* of unknown value, and if we were to subtract - %% {integer,[]} we would erroneously infer that the new type is {float,[]}. + %% #t_integer{} we would erroneously infer that the new type is float. %% %% Therefore, we only subtract when we know that RHS has a specific value. RType = get_term_type(RHS, Vst), - case is_literal(RType) of + case beam_types:is_singleton_type(RType) of true -> update_type(fun subtract/2, RType, LHS, Vst); false -> Vst end. @@ -1930,304 +1908,41 @@ is_literal(_) -> false. %% %% First non-term types: %% -%% initialized Only for Y registers. Means that the Y register -%% has been initialized with some valid term so that -%% it is safe to pass to the garbage collector. -%% NOT safe to use in any other way (will not crash the -%% emulator, but clearly points to a bug in the compiler). -%% -%% {catchtag,[Lbl]} A special term used within a catch. Must only be used -%% by the catch instructions; NOT safe to use in other -%% instructions. -%% -%% {trytag,[Lbl]} A special term used within a try block. Must only be -%% used by the catch instructions; NOT safe to use in other -%% instructions. -%% -%% exception Can only be used as a type returned by -%% call_return_type/2 (which gives the type of the value -%% returned by a call). Thus 'exception' is never stored -%% as type descriptor for a register. -%% -%% #ms{} A match context for bit syntax matching. We do allow -%% it to moved/to from stack, but otherwise it must only -%% be accessed by bit syntax matching instructions. -%% -%% -%% Normal terms: -%% -%% term Any valid Erlang (but not of the special types above). -%% -%% binary Binary or bitstring. -%% -%% bool The atom 'true' or the atom 'false'. -%% -%% cons Cons cell: [_|_] -%% -%% nil Empty list: [] -%% -%% list List: [] or [_|_] +%% initialized Only for Y registers. Means that the Y register +%% has been initialized with some valid term so that +%% it is safe to pass to the garbage collector. +%% NOT safe to use in any other way (will not crash the +%% emulator, but clearly points to a bug in the compiler). %% -%% {tuple,[Sz],Es} Tuple. An element has been accessed using -%% element/2 or setelement/3 so that it is known that -%% the type is a tuple of size at least Sz. Es is a map -%% containing known types by tuple index. +%% {catchtag,[Lbl]} A special term used within a catch. Must only be used +%% by the catch instructions; NOT safe to use in other +%% instructions. %% -%% {tuple,Sz,Es} Tuple. A test_arity instruction has been seen -%% so that it is known that the size is exactly Sz. +%% {trytag,[Lbl]} A special term used within a try block. Must only be +%% used by the catch instructions; NOT safe to use in other +%% instructions. %% -%% {atom,[]} Atom. -%% {atom,Atom} +%% #t_bs_context{} A match context for bit syntax matching. We do allow +%% it to moved/to from stack, but otherwise it must only +%% be accessed by bit syntax matching instructions. %% -%% {integer,[]} Integer. -%% {integer,Integer} -%% -%% {float,[]} Float. -%% {float,Float} -%% -%% number Integer or Float of unknown value -%% -%% map Map. -%% -%% none A conflict in types. There will be an exception at runtime. -%% - -%% join(Type1, Type2) -> Type -%% Return the most specific type possible. -join(Same, Same) -> - Same; -join(none, Other) -> - Other; -join(Other, none) -> - Other; -join({literal,_}=T1, T2) -> - join_literal(T1, T2); -join(T1, {literal,_}=T2) -> - join_literal(T2, T1); -join({tuple,Size,EsA}, {tuple,Size,EsB}) -> - Es = join_tuple_elements(tuple_sz(Size), EsA, EsB), - {tuple, Size, Es}; -join({tuple,A,EsA}, {tuple,B,EsB}) -> - Size = min(tuple_sz(A), tuple_sz(B)), - Es = join_tuple_elements(Size, EsA, EsB), - {tuple, [Size], Es}; -join({Type,A}, {Type,B}) - when Type =:= atom; Type =:= integer; Type =:= float -> - if A =:= B -> {Type,A}; - true -> {Type,[]} - end; -join({Type,_}, number) - when Type =:= integer; Type =:= float -> - number; -join(number, {Type,_}) - when Type =:= integer; Type =:= float -> - number; -join({integer,_}, {float,_}) -> - number; -join({float,_}, {integer,_}) -> - number; -join(bool, {atom,A}) -> - join_bool(A); -join({atom,A}, bool) -> - join_bool(A); -join({atom,A}, {atom,B}) when is_boolean(A), is_boolean(B) -> - bool; -join({atom,_}, {atom,_}) -> - {atom,[]}; -join(#ms{id=Id1,valid=B1,slots=Slots1}, - #ms{id=Id2,valid=B2,slots=Slots2}) -> - Id = if - Id1 =:= Id2 -> Id1; - true -> make_ref() - end, - #ms{id=Id,valid=B1 band B2,slots=min(Slots1, Slots2)}; -join(T1, T2) when T1 =/= T2 -> - %% We've exhaused all other options, so the type must either be a list or - %% a 'term'. - join_list(T1, T2). +%% These are simple wrappers around -join_tuple_elements(Limit, EsA, EsB) -> - Es0 = join_elements(EsA, EsB), - maps:filter(fun({integer,Index}, _Type) -> Index =< Limit end, Es0). +join(#t_abstract{}=Same, #t_abstract{}=Same) -> Same; +join(A, B) -> beam_types:join(A, B). -join_elements(Es1, Es2) -> - Keys = if - map_size(Es1) =< map_size(Es2) -> maps:keys(Es1); - map_size(Es1) > map_size(Es2) -> maps:keys(Es2) - end, - join_elements_1(Keys, Es1, Es2, #{}). +meet(#t_abstract{}=Same, #t_abstract{}=Same) -> Same; +meet(A, B) -> beam_types:meet(A, B). -join_elements_1([Key | Keys], Es1, Es2, Acc0) -> - Type = case {Es1, Es2} of - {#{ Key := Same }, #{ Key := Same }} -> Same; - {#{ Key := Type1 }, #{ Key := Type2 }} -> join(Type1, Type2); - {#{}, #{}} -> term - end, - Acc = set_element_type(Key, Type, Acc0), - join_elements_1(Keys, Es1, Es2, Acc); -join_elements_1([], _Es1, _Es2, Acc) -> - Acc. +subtract(A, B) -> beam_types:subtract(A, B). -%% Joins types of literals; note that the left argument must either be a -%% literal or exactly equal to the second argument. -join_literal(Same, Same) -> - Same; -join_literal({literal,_}=Lit, T) -> - join_literal(T, get_literal_type(Lit)); -join_literal(T1, T2) -> - %% We're done extracting the types, try merging them again. - join(T1, T2). - -join_list(nil, cons) -> list; -join_list(nil, list) -> list; -join_list(cons, list) -> list; -join_list(T, nil) -> join_list(nil, T); -join_list(T, cons) -> join_list(cons, T); -join_list(_, _) -> - %% Not a list, so it must be a term. - term. - -join_bool([]) -> {atom,[]}; -join_bool(true) -> bool; -join_bool(false) -> bool; -join_bool(_) -> {atom,[]}. - -%% meet(Type1, Type2) -> Type -%% Return the meet of two types. The meet is a more specific type. -%% It will be 'none' if the types are in conflict. - -meet(Same, Same) -> - Same; -meet(term, Other) -> - Other; -meet(Other, term) -> - Other; -meet(#ms{}, binary) -> - #ms{}; -meet(binary, #ms{}) -> - #ms{}; -meet({literal,_}, {literal,_}) -> - none; -meet(T1, {literal,_}=T2) -> - meet(T2, T1); -meet({literal,_}=T1, T2) -> - case meet(get_literal_type(T1), T2) of - none -> none; - _ -> T1 - end; -meet(T1, T2) -> - case {erlang:min(T1, T2),erlang:max(T1, T2)} of - {{atom,_}=A,{atom,[]}} -> A; - {bool,{atom,B}=Atom} when is_boolean(B) -> Atom; - {bool,{atom,[]}} -> bool; - {cons,list} -> cons; - {{float,_}=T,{float,[]}} -> T; - {{integer,_}=T,{integer,[]}} -> T; - {list,nil} -> nil; - {number,{integer,_}=T} -> T; - {number,{float,_}=T} -> T; - {{tuple,Size1,Es1},{tuple,Size2,Es2}} -> - Es = meet_elements(Es1, Es2), - case {Size1,Size2,Es} of - {_, _, none} -> - none; - {[Sz1],[Sz2],_} -> - Sz = erlang:max(Sz1, Sz2), - assert_tuple_elements(Sz, Es), - {tuple,[Sz],Es}; - {Sz1,[Sz2],_} when Sz2 =< Sz1 -> - assert_tuple_elements(Sz1, Es), - {tuple,Sz1,Es}; - {Sz,Sz,_} -> - assert_tuple_elements(Sz, Es), - {tuple,Sz,Es}; - {_,_,_} -> - none - end; - {_,_} -> none +assert_type(RequiredType, Term, Vst) -> + GivenType = get_term_type(Term, Vst), + case meet(RequiredType, GivenType) of + GivenType -> ok; + _RequiredType -> error({bad_type,{needed,RequiredType},{actual,GivenType}}) end. -meet_elements(Es1, Es2) -> - Keys = maps:keys(Es1) ++ maps:keys(Es2), - meet_elements_1(Keys, Es1, Es2, #{}). - -meet_elements_1([Key | Keys], Es1, Es2, Acc) -> - case {Es1, Es2} of - {#{ Key := Type1 }, #{ Key := Type2 }} -> - case meet(Type1, Type2) of - none -> none; - Type -> meet_elements_1(Keys, Es1, Es2, Acc#{ Key => Type }) - end; - {#{ Key := Type1 }, _} -> - meet_elements_1(Keys, Es1, Es2, Acc#{ Key => Type1 }); - {_, #{ Key := Type2 }} -> - meet_elements_1(Keys, Es1, Es2, Acc#{ Key => Type2 }) - end; -meet_elements_1([], _Es1, _Es2, Acc) -> - Acc. - -%% No tuple elements may have an index above the known size. -assert_tuple_elements(Limit, Es) -> - true = maps:fold(fun({integer,Index}, _T, true) -> - Index =< Limit - end, true, Es). %Assertion. - -%% subtract(Type1, Type2) -> Type -%% Subtract Type2 from Type2. Example: -%% subtract(list, nil) -> cons - -subtract(Same, Same) -> none; -subtract(list, nil) -> cons; -subtract(list, cons) -> nil; -subtract(number, {integer,[]}) -> {float,[]}; -subtract(number, {float,[]}) -> {integer,[]}; -subtract(bool, {atom,false}) -> {atom, true}; -subtract(bool, {atom,true}) -> {atom, false}; -subtract(Type, _) -> Type. - -assert_type(WantedType, Term, Vst) -> - Type = get_term_type(Term, Vst), - assert_type(WantedType, Type). - -assert_type(Correct, Correct) -> ok; -assert_type(float, {float,_}) -> ok; -assert_type(tuple, {tuple,_,_}) -> ok; -assert_type(tuple, {literal,Tuple}) when is_tuple(Tuple) -> ok; -assert_type({tuple_element,I}, {tuple,[Sz],_}) - when 1 =< I, I =< Sz -> - ok; -assert_type({tuple_element,I}, {tuple,Sz,_}) - when is_integer(Sz), 1 =< I, I =< Sz -> - ok; -assert_type({tuple_element,I}, {literal,Lit}) when I =< tuple_size(Lit) -> - ok; -assert_type(cons, {literal,[_|_]}) -> - ok; -assert_type(Needed, Actual) -> - error({bad_type,{needed,Needed},{actual,Actual}}). - -get_element_type(Key, Src, Vst) -> - get_element_type_1(Key, get_term_type(Src, Vst)). - -get_element_type_1({integer,_}=Key, {tuple,_Sz,Es}) -> - case Es of - #{ Key := Type } -> Type; - #{} -> term - end; -get_element_type_1(_Index, _Type) -> - term. - -set_element_type(_Key, none, Es) -> - Es; -set_element_type(Key, term, Es) -> - maps:remove(Key, Es); -set_element_type(Key, Type, Es) -> - Es#{ Key => Type }. - -get_tuple_size({integer,[]}) -> 0; -get_tuple_size({integer,Sz}) -> Sz; -get_tuple_size(_) -> 0. - validate_src(Ss, Vst) when is_list(Ss) -> _ = [assert_term(S, Vst) || S <- Ss], ok. @@ -2238,7 +1953,7 @@ validate_src(Ss, Vst) when is_list(Ss) -> get_term_type(Src, Vst) -> case get_movable_term_type(Src, Vst) of - #ms{} -> error({match_context,Src}); + #t_bs_context{} -> error({match_context,Src}); Type -> Type end. @@ -2248,12 +1963,11 @@ get_term_type(Src, Vst) -> get_movable_term_type(Src, Vst) -> case get_raw_type(Src, Vst) of + #t_abstract{kind=tuple_in_progress=Kind} -> error({Kind,Src}); initialized -> error({unassigned,Src}); uninitialized -> error({uninitialized_reg,Src}); {catchtag,_} -> error({catchtag,Src}); {trytag,_} -> error({trytag,Src}); - tuple_in_progress -> error({tuple_in_progress,Src}); - {literal,_}=Lit -> get_literal_type(Lit); Type -> Type end. @@ -2296,32 +2010,36 @@ get_raw_type(Src, #vst{}) -> get_literal_type(Src). is_value_alive(#value_ref{}=Ref, #vst{current=#st{vs=Vs}}) -> - is_map_key(Ref, Vs). - -get_literal_type(nil=T) -> T; -get_literal_type({atom,A}=T) when is_atom(A) -> T; -get_literal_type({float,F}=T) when is_float(F) -> T; -get_literal_type({integer,I}=T) when is_integer(I) -> T; -get_literal_type({literal,[_|_]}) -> cons; -get_literal_type({literal,Bitstring}) when is_bitstring(Bitstring) -> binary; -get_literal_type({literal,Map}) when is_map(Map) -> map; -get_literal_type({literal,Tuple}) when is_tuple(Tuple) -> glt_1(Tuple); -get_literal_type({literal,_}) -> term; + is_map_key(Ref, Vs); +is_value_alive(_, _) -> + false. + +get_literal_type(nil) -> glt_1([]); +get_literal_type({atom,A}) when is_atom(A) -> glt_1(A); +get_literal_type({float,F}) when is_float(F) -> glt_1(F); +get_literal_type({integer,I}) when is_integer(I) -> glt_1(I); +get_literal_type({literal,L}) -> glt_1(L); get_literal_type(T) -> error({not_literal,T}). glt_1([]) -> nil; -glt_1(A) when is_atom(A) -> {atom, A}; -glt_1(F) when is_float(F) -> {float, F}; -glt_1(I) when is_integer(I) -> {integer, I}; +glt_1([_|_]) -> cons; +glt_1(A) when is_atom(A) -> #t_atom{elements=[A]}; +glt_1(B) when is_bitstring(B) -> #t_bitstring{}; +glt_1(F) when is_float(F) -> float; +glt_1(F) when is_function(F) -> + {arity, Arity} = erlang:fun_info(F, arity), + #t_fun{arity=Arity}; +glt_1(I) when is_integer(I) -> beam_types:make_integer(I); +glt_1(M) when is_map(M) -> #t_map{}; glt_1(T) when is_tuple(T) -> {Es,_} = foldl(fun(Val, {Es0, Index}) -> Type = glt_1(Val), - Es = set_element_type({integer,Index}, Type, Es0), + Es = beam_types:set_element_type(Index, Type, Es0), {Es, Index + 1} end, {#{}, 1}, tuple_to_list(T)), - {tuple, tuple_size(T), Es}; -glt_1(L) -> - {literal, L}. + #t_tuple{exact=true,size=tuple_size(T),elements=Es}; +glt_1(_Term) -> + any. %%% %%% Branch tracking @@ -2512,9 +2230,6 @@ merge_ct_1([C0|Ct0], [C1|Ct1]) -> merge_ct_1([], []) -> []; merge_ct_1(_, _) -> undecided. -tuple_sz([Sz]) -> Sz; -tuple_sz(Sz) -> Sz. - verify_y_init(#vst{current=#st{numy=NumY,ys=Ys}}=Vst) when is_integer(NumY) -> HighestY = maps:fold(fun({y,Y}, _, Acc) -> max(Y, Acc) end, -1, Ys), true = NumY > HighestY, %Assertion. @@ -2656,319 +2371,26 @@ assert_not_fragile(Lit, #vst{}) -> ok. %%% -%%% Return/argument types of BIFs +%%% Return/argument types of calls and BIFs %%% -bif_return_type('-', Src, Vst) -> - arith_return_type(Src, Vst); -bif_return_type('+', Src, Vst) -> - arith_return_type(Src, Vst); -bif_return_type('*', Src, Vst) -> - arith_return_type(Src, Vst); -bif_return_type(abs, [Num], Vst) -> - case get_term_type(Num, Vst) of - {float,_}=T -> T; - {integer,_}=T -> T; - _ -> number - end; -bif_return_type(float, _, _) -> {float,[]}; -bif_return_type('/', _, _) -> {float,[]}; -%% Binary operations -bif_return_type('binary_part', [_,_], _) -> binary; -bif_return_type('binary_part', [_,_,_], _) -> binary; -bif_return_type('bit_size', [_], _) -> {integer,[]}; -bif_return_type('byte_size', [_], _) -> {integer,[]}; -%% Integer operations. -bif_return_type(ceil, [_], _) -> {integer,[]}; -bif_return_type('div', [_,_], _) -> {integer,[]}; -bif_return_type(floor, [_], _) -> {integer,[]}; -bif_return_type('rem', [_,_], _) -> {integer,[]}; -bif_return_type(length, [_], _) -> {integer,[]}; -bif_return_type(size, [_], _) -> {integer,[]}; -bif_return_type(trunc, [_], _) -> {integer,[]}; -bif_return_type(round, [_], _) -> {integer,[]}; -bif_return_type('band', [_,_], _) -> {integer,[]}; -bif_return_type('bor', [_,_], _) -> {integer,[]}; -bif_return_type('bxor', [_,_], _) -> {integer,[]}; -bif_return_type('bnot', [_], _) -> {integer,[]}; -bif_return_type('bsl', [_,_], _) -> {integer,[]}; -bif_return_type('bsr', [_,_], _) -> {integer,[]}; -%% Booleans. -bif_return_type('==', [_,_], _) -> bool; -bif_return_type('/=', [_,_], _) -> bool; -bif_return_type('=<', [_,_], _) -> bool; -bif_return_type('<', [_,_], _) -> bool; -bif_return_type('>=', [_,_], _) -> bool; -bif_return_type('>', [_,_], _) -> bool; -bif_return_type('=:=', [_,_], _) -> bool; -bif_return_type('=/=', [_,_], _) -> bool; -bif_return_type('not', [_], _) -> bool; -bif_return_type('and', [_,_], _) -> bool; -bif_return_type('or', [_,_], _) -> bool; -bif_return_type('xor', [_,_], _) -> bool; -bif_return_type(is_atom, [_], _) -> bool; -bif_return_type(is_boolean, [_], _) -> bool; -bif_return_type(is_binary, [_], _) -> bool; -bif_return_type(is_float, [_], _) -> bool; -bif_return_type(is_function, [_], _) -> bool; -bif_return_type(is_function, [_,_], _) -> bool; -bif_return_type(is_integer, [_], _) -> bool; -bif_return_type(is_list, [_], _) -> bool; -bif_return_type(is_map, [_], _) -> bool; -bif_return_type(is_number, [_], _) -> bool; -bif_return_type(is_pid, [_], _) -> bool; -bif_return_type(is_port, [_], _) -> bool; -bif_return_type(is_reference, [_], _) -> bool; -bif_return_type(is_tuple, [_], _) -> bool; -%% Misc. -bif_return_type(tuple_size, [_], _) -> {integer,[]}; -bif_return_type(map_size, [_], _) -> {integer,[]}; -bif_return_type(node, [], _) -> {atom,[]}; -bif_return_type(node, [_], _) -> {atom,[]}; -bif_return_type(hd, [_], _) -> term; -bif_return_type(tl, [_], _) -> term; -bif_return_type(get, [_], _) -> term; -bif_return_type(Bif, _, _) when is_atom(Bif) -> term. - -%% Generic -bif_arg_types(tuple_size, [_]) -> [{tuple,[0],#{}}]; -bif_arg_types(map_size, [_]) -> [map]; -bif_arg_types(is_map_key, [_,_]) -> [term, map]; -bif_arg_types(map_get, [_,_]) -> [term, map]; -bif_arg_types(length, [_]) -> [list]; -bif_arg_types(hd, [_]) -> [cons]; -bif_arg_types(tl, [_]) -> [cons]; -%% Boolean -bif_arg_types('not', [_]) -> [bool]; -bif_arg_types('and', [_,_]) -> [bool, bool]; -bif_arg_types('or', [_,_]) -> [bool, bool]; -bif_arg_types('xor', [_,_]) -> [bool, bool]; -%% Binary -bif_arg_types('binary_part', [_,_]) -> - PosLen = {tuple, 2, #{ {integer,1} => {integer,[]}, - {integer,2} => {integer,[]} }}, - [binary, PosLen]; -bif_arg_types('binary_part', [_,_,_]) -> - [binary, {integer,[]}, {integer,[]}]; -bif_arg_types('bit_size', [_]) -> [binary]; -bif_arg_types('byte_size', [_]) -> [binary]; -%% Numerical -bif_arg_types('-', [_]) -> [number]; -bif_arg_types('-', [_,_]) -> [number,number]; -bif_arg_types('+', [_]) -> [number]; -bif_arg_types('+', [_,_]) -> [number,number]; -bif_arg_types('*', [_,_]) -> [number, number]; -bif_arg_types('/', [_,_]) -> [number, number]; -bif_arg_types(abs, [_]) -> [number]; -bif_arg_types(ceil, [_]) -> [number]; -bif_arg_types(float, [_]) -> [number]; -bif_arg_types(floor, [_]) -> [number]; -bif_arg_types(trunc, [_]) -> [number]; -bif_arg_types(round, [_]) -> [number]; -%% Integer-specific -bif_arg_types('div', [_,_]) -> [{integer,[]}, {integer,[]}]; -bif_arg_types('rem', [_,_]) -> [{integer,[]}, {integer,[]}]; -bif_arg_types('band', [_,_]) -> [{integer,[]}, {integer,[]}]; -bif_arg_types('bor', [_,_]) -> [{integer,[]}, {integer,[]}]; -bif_arg_types('bxor', [_,_]) -> [{integer,[]}, {integer,[]}]; -bif_arg_types('bnot', [_]) -> [{integer,[]}]; -bif_arg_types('bsl', [_,_]) -> [{integer,[]}, {integer,[]}]; -bif_arg_types('bsr', [_,_]) -> [{integer,[]}, {integer,[]}]; -%% Unsafe type tests that may fail if an argument doesn't have the right type. -bif_arg_types(is_function, [_,_]) -> [term, {integer,[]}]; -bif_arg_types(_, Args) -> [term || _Arg <- Args]. - -is_bif_safe('/=', 2) -> true; -is_bif_safe('<', 2) -> true; -is_bif_safe('=/=', 2) -> true; -is_bif_safe('=:=', 2) -> true; -is_bif_safe('=<', 2) -> true; -is_bif_safe('==', 2) -> true; -is_bif_safe('>', 2) -> true; -is_bif_safe('>=', 2) -> true; -is_bif_safe(is_atom, 1) -> true; -is_bif_safe(is_boolean, 1) -> true; -is_bif_safe(is_binary, 1) -> true; -is_bif_safe(is_bitstring, 1) -> true; -is_bif_safe(is_float, 1) -> true; -is_bif_safe(is_function, 1) -> true; -is_bif_safe(is_integer, 1) -> true; -is_bif_safe(is_list, 1) -> true; -is_bif_safe(is_map, 1) -> true; -is_bif_safe(is_number, 1) -> true; -is_bif_safe(is_pid, 1) -> true; -is_bif_safe(is_port, 1) -> true; -is_bif_safe(is_reference, 1) -> true; -is_bif_safe(is_tuple, 1) -> true; -is_bif_safe(get, 1) -> true; -is_bif_safe(self, 0) -> true; -is_bif_safe(node, 0) -> true; -is_bif_safe(_, _) -> false. - -arith_return_type([A], Vst) -> - %% Unary '+' or '-'. - case get_term_type(A, Vst) of - {integer,_} -> {integer,[]}; - {float,_} -> {float,[]}; - _ -> number - end; -arith_return_type([A,B], Vst) -> - TypeA = get_term_type(A, Vst), - TypeB = get_term_type(B, Vst), - case {TypeA, TypeB} of - {{integer,_},{integer,_}} -> {integer,[]}; - {{float,_},_} -> {float,[]}; - {_,{float,_}} -> {float,[]}; - {_,_} -> number - end; -arith_return_type(_, _) -> number. +bif_types(Op, Ss, Vst) -> + Args = [get_term_type(Arg, Vst) || Arg <- Ss], + beam_call_types:types(erlang, Op, Args). -%%% -%%% Return/argument types of calls -%%% +call_types({extfunc,M,F,A}, A, Vst) -> + Args = get_call_args(A, Vst), + beam_call_types:types(M, F, Args); +call_types(_, A, Vst) -> + {any, get_call_args(A, Vst), false}. -call_return_type({extfunc,M,F,A}, Vst) -> call_return_type_1(M, F, A, Vst); -call_return_type(_, _) -> term. +get_call_args(Arity, Vst) -> + get_call_args_1(0, Arity, Vst). -call_return_type_1(erlang, setelement, 3, Vst) -> - IndexType = get_term_type({x,0}, Vst), - TupleType = - case get_term_type({x,1}, Vst) of - {literal,Tuple}=Lit when is_tuple(Tuple) -> get_literal_type(Lit); - {tuple,_,_}=TT -> TT; - _ -> {tuple,[0],#{}} - end, - case IndexType of - {integer,I} when is_integer(I) -> - case meet({tuple,[I],#{}}, TupleType) of - {tuple, Sz, Es0} -> - ValueType = get_term_type({x,2}, Vst), - Es = set_element_type({integer,I}, ValueType, Es0), - {tuple, Sz, Es}; - none -> - TupleType - end; - _ -> - %% The index could point anywhere, so we must discard all element - %% information. - setelement(3, TupleType, #{}) - end; -call_return_type_1(erlang, '++', 2, Vst) -> - LType = get_term_type({x,0}, Vst), - RType = get_term_type({x,1}, Vst), - case LType =:= cons orelse RType =:= cons of - true -> - cons; - false -> - %% `[] ++ RHS` yields RHS, even if RHS is not a list - join(list, RType) - end; -call_return_type_1(erlang, '--', 2, _Vst) -> - list; -call_return_type_1(erlang, F, A, _) -> - erlang_mod_return_type(F, A); -call_return_type_1(lists, F, A, Vst) -> - lists_mod_return_type(F, A, Vst); -call_return_type_1(math, F, A, _) -> - math_mod_return_type(F, A); -call_return_type_1(M, F, A, _) when is_atom(M), is_atom(F), is_integer(A), A >= 0 -> - term. - -erlang_mod_return_type(exit, 1) -> exception; -erlang_mod_return_type(throw, 1) -> exception; -erlang_mod_return_type(error, 1) -> exception; -erlang_mod_return_type(error, 2) -> exception; -erlang_mod_return_type(F, A) when is_atom(F), is_integer(A), A >= 0 -> term. - -math_mod_return_type(cos, 1) -> {float,[]}; -math_mod_return_type(cosh, 1) -> {float,[]}; -math_mod_return_type(sin, 1) -> {float,[]}; -math_mod_return_type(sinh, 1) -> {float,[]}; -math_mod_return_type(tan, 1) -> {float,[]}; -math_mod_return_type(tanh, 1) -> {float,[]}; -math_mod_return_type(acos, 1) -> {float,[]}; -math_mod_return_type(acosh, 1) -> {float,[]}; -math_mod_return_type(asin, 1) -> {float,[]}; -math_mod_return_type(asinh, 1) -> {float,[]}; -math_mod_return_type(atan, 1) -> {float,[]}; -math_mod_return_type(atanh, 1) -> {float,[]}; -math_mod_return_type(erf, 1) -> {float,[]}; -math_mod_return_type(erfc, 1) -> {float,[]}; -math_mod_return_type(exp, 1) -> {float,[]}; -math_mod_return_type(log, 1) -> {float,[]}; -math_mod_return_type(log2, 1) -> {float,[]}; -math_mod_return_type(log10, 1) -> {float,[]}; -math_mod_return_type(sqrt, 1) -> {float,[]}; -math_mod_return_type(atan2, 2) -> {float,[]}; -math_mod_return_type(pow, 2) -> {float,[]}; -math_mod_return_type(ceil, 1) -> {float,[]}; -math_mod_return_type(floor, 1) -> {float,[]}; -math_mod_return_type(fmod, 2) -> {float,[]}; -math_mod_return_type(pi, 0) -> {float,[]}; -math_mod_return_type(F, A) when is_atom(F), is_integer(A), A >= 0 -> term. - -lists_mod_return_type(all, 2, _Vst) -> - bool; -lists_mod_return_type(any, 2, _Vst) -> - bool; -lists_mod_return_type(keymember, 3, _Vst) -> - bool; -lists_mod_return_type(member, 2, _Vst) -> - bool; -lists_mod_return_type(prefix, 2, _Vst) -> - bool; -lists_mod_return_type(suffix, 2, _Vst) -> - bool; -lists_mod_return_type(dropwhile, 2, _Vst) -> - list; -lists_mod_return_type(duplicate, 2, _Vst) -> - list; -lists_mod_return_type(filter, 2, _Vst) -> - list; -lists_mod_return_type(flatten, 1, _Vst) -> - list; -lists_mod_return_type(map, 2, Vst) -> - same_length_type({x,1}, Vst); -lists_mod_return_type(MF, 3, Vst) when MF =:= mapfoldl; MF =:= mapfoldr -> - ListType = same_length_type({x,2}, Vst), - {tuple,2,#{ {integer,1} => ListType} }; -lists_mod_return_type(partition, 2, _Vst) -> - two_tuple(list, list); -lists_mod_return_type(reverse, 1, Vst) -> - same_length_type({x,0}, Vst); -lists_mod_return_type(seq, 2, _Vst) -> - list; -lists_mod_return_type(sort, 1, Vst) -> - same_length_type({x,0}, Vst); -lists_mod_return_type(sort, 2, Vst) -> - same_length_type({x,1}, Vst); -lists_mod_return_type(splitwith, 2, _Vst) -> - two_tuple(list, list); -lists_mod_return_type(takewhile, 2, _Vst) -> - list; -lists_mod_return_type(unzip, 1, Vst) -> - ListType = same_length_type({x,0}, Vst), - two_tuple(ListType, ListType); -lists_mod_return_type(usort, 1, Vst) -> - same_length_type({x,0}, Vst); -lists_mod_return_type(zip, 2, _Vst) -> - list; -lists_mod_return_type(zipwith, 3, _Vst) -> - list; -lists_mod_return_type(_, _, _) -> - term. - -two_tuple(Type1, Type2) -> - {tuple,2,#{ {integer,1} => Type1, - {integer,2} => Type2 }}. - -same_length_type(Reg, Vst) -> - case get_term_type(Reg, Vst) of - {literal,[_|_]} -> cons; - cons -> cons; - nil -> nil; - _ -> list - end. +get_call_args_1(Arity, Arity, _) -> + []; +get_call_args_1(N, Arity, Vst) when N < Arity -> + [get_movable_term_type({x,N}, Vst) | get_call_args_1(N + 1, Arity, Vst)]. check_limit({x,X}=Src) when is_integer(X) -> if diff --git a/lib/compiler/src/compile.erl b/lib/compiler/src/compile.erl index e5e63341b7..098f82fdc0 100644 --- a/lib/compiler/src/compile.erl +++ b/lib/compiler/src/compile.erl @@ -2093,6 +2093,7 @@ pre_load() -> L = [beam_a, beam_asm, beam_block, + beam_call_types, beam_clean, beam_dict, beam_flatten, @@ -2111,6 +2112,7 @@ pre_load() -> beam_ssa_share, beam_ssa_type, beam_trim, + beam_types, beam_utils, beam_validator, beam_z, diff --git a/lib/compiler/src/compiler.app.src b/lib/compiler/src/compiler.app.src index 9dc3b6e339..092757ae65 100644 --- a/lib/compiler/src/compiler.app.src +++ b/lib/compiler/src/compiler.app.src @@ -24,6 +24,7 @@ beam_a, beam_asm, beam_block, + beam_call_types, beam_clean, beam_dict, beam_disasm, @@ -46,6 +47,7 @@ beam_ssa_share, beam_ssa_type, beam_trim, + beam_types, beam_utils, beam_validator, beam_z, diff --git a/lib/compiler/test/Makefile b/lib/compiler/test/Makefile index db8eb7e2e1..2c0767b17f 100644 --- a/lib/compiler/test/Makefile +++ b/lib/compiler/test/Makefile @@ -16,6 +16,7 @@ MODULES= \ beam_reorder_SUITE \ beam_ssa_SUITE \ beam_type_SUITE \ + beam_types_SUITE \ beam_utils_SUITE \ bif_SUITE \ bs_bincomp_SUITE \ @@ -225,6 +226,6 @@ release_tests_spec: make_emakefile $(INSTALL_DATA) $(ERL_DUMMY_FILES) "$(RELSYSDIR)" rm $(ERL_DUMMY_FILES) chmod -R u+w "$(RELSYSDIR)" - @tar cf - *_SUITE_data | (cd "$(RELSYSDIR)"; tar xf -) + @tar cf - *_SUITE_data property_test | (cd "$(RELSYSDIR)"; tar xf -) release_docs_spec: diff --git a/lib/compiler/test/beam_types_SUITE.erl b/lib/compiler/test/beam_types_SUITE.erl new file mode 100644 index 0000000000..297bd4026e --- /dev/null +++ b/lib/compiler/test/beam_types_SUITE.erl @@ -0,0 +1,80 @@ +%% +%% %CopyrightBegin% +%% +%% Copyright Ericsson AB 2019. All Rights Reserved. +%% +%% Licensed under the Apache License, Version 2.0 (the "License"); +%% you may not use this file except in compliance with the License. +%% You may obtain a copy of the License at +%% +%% http://www.apache.org/licenses/LICENSE-2.0 +%% +%% Unless required by applicable law or agreed to in writing, software +%% distributed under the License is distributed on an "AS IS" BASIS, +%% WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +%% See the License for the specific language governing permissions and +%% limitations under the License. +%% +%% %CopyrightEnd% +%% + +-module(beam_types_SUITE). + +-include_lib("compiler/src/beam_types.hrl"). + +-export([all/0, suite/0, groups/0, + init_per_suite/1, end_per_suite/1]). + +-export([consistency/1, commutativity/1, + binary_consistency/1, integer_consistency/1]). + +suite() -> + [{ct_hooks,[ts_install_cth]}]. + +all() -> + [{group,property_tests}]. + +groups() -> + [{property_tests,[], [consistency, commutativity, + binary_consistency, integer_consistency]}]. + +init_per_suite(Config) -> + ct_property_test:init_per_suite(Config). + +end_per_suite(Config) -> + Config. + +consistency(Config) when is_list(Config) -> + %% manual test: proper:quickcheck(beam_types_prop:consistency()). + true = ct_property_test:quickcheck(beam_types_prop:consistency(), Config). + +commutativity(Config) when is_list(Config) -> + %% manual test: proper:quickcheck(beam_types_prop:commutativity()). + true = ct_property_test:quickcheck(beam_types_prop:commutativity(), Config). + +binary_consistency(Config) when is_list(Config) -> + %% These binaries should meet into {binary,12} as that's the best common + %% unit for both types. + A = #t_bitstring{unit=4}, + B = #t_bitstring{unit=6}, + + #t_bitstring{unit=12} = beam_types:meet(A, B), + #t_bitstring{unit=2} = beam_types:join(A, B), + + A = beam_types:meet(A, beam_types:join(A, B)), + A = beam_types:join(A, beam_types:meet(A, B)), + + ok. + +integer_consistency(Config) when is_list(Config) -> + %% Integers that don't overlap fully should never meet. + A = #t_integer{elements={3,5}}, + B = #t_integer{elements={4,6}}, + + none = beam_types:meet(A, B), + #t_integer{elements={3,6}} = beam_types:join(A, B), + + A = beam_types:meet(A, beam_types:join(A, B)), + A = beam_types:join(A, beam_types:meet(A, B)), + + ok. diff --git a/lib/compiler/test/beam_validator_SUITE.erl b/lib/compiler/test/beam_validator_SUITE.erl index 6b1438abdd..35dda9cc01 100644 --- a/lib/compiler/test/beam_validator_SUITE.erl +++ b/lib/compiler/test/beam_validator_SUITE.erl @@ -217,11 +217,11 @@ bad_catch_try(Config) when is_list(Config) -> {{catch_end,{x,9}}, 8,{invalid_tag_register,{x,9}}}}, {{bad_catch_try,bad_3,1}, - {{catch_end,{y,1}},9,{invalid_tag,{y,1},{atom,kalle}}}}, + {{catch_end,{y,1}},9,{invalid_tag,{y,1},{t_atom,[kalle]}}}}, {{bad_catch_try,bad_4,1}, {{'try',{x,0},{f,15}},5,{invalid_tag_register,{x,0}}}}, {{bad_catch_try,bad_5,1}, - {{try_case,{y,1}},12,{invalid_tag,{y,1},term}}}, + {{try_case,{y,1}},12,{invalid_tag,{y,1},any}}}, {{bad_catch_try,bad_6,1}, {{move,{integer,1},{y,1}},7, {invalid_store,{y,1}}}}] = Errors, @@ -232,7 +232,7 @@ cons_guard(Config) when is_list(Config) -> [{{cons,foo,1}, {{get_list,{x,0},{x,1},{x,2}}, 5, - {bad_type,{needed,cons},{actual,term}}}}] = Errors, + {bad_type,{needed,cons},{actual,any}}}}] = Errors, ok. freg_range(Config) when is_list(Config) -> diff --git a/lib/compiler/test/property_test/beam_types_prop.erl b/lib/compiler/test/property_test/beam_types_prop.erl new file mode 100644 index 0000000000..9c103d3886 --- /dev/null +++ b/lib/compiler/test/property_test/beam_types_prop.erl @@ -0,0 +1,140 @@ +%% +%% %CopyrightBegin% +%% +%% Copyright Ericsson AB 2019. All Rights Reserved. +%% +%% Licensed under the Apache License, Version 2.0 (the "License"); +%% you may not use this file except in compliance with the License. +%% You may obtain a copy of the License at +%% +%% http://www.apache.org/licenses/LICENSE-2.0 +%% +%% Unless required by applicable law or agreed to in writing, software +%% distributed under the License is distributed on an "AS IS" BASIS, +%% WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +%% See the License for the specific language governing permissions and +%% limitations under the License. +%% +%% %CopyrightEnd% +%% + +-module(beam_types_prop). + +-compile([export_all, nowarn_export_all]). + +%% This module has only supports proper, as we don't have an eqc license to +%% test with. + +-proptest([proper]). + +-ifdef(PROPER). + +-include_lib("compiler/src/beam_types.hrl"). + +-include_lib("proper/include/proper.hrl"). +-define(MOD_eqc,proper). + +consistency() -> + ?FORALL({TypeA, TypeB}, + ?LET(TypeA, type(), + ?LET(TypeB, type(), {TypeA, TypeB})), + consistency_check(TypeA, TypeB)). + +consistency_check(A, B) -> + consistency_check_1(A, B), + consistency_check_1(B, A), + true. + +consistency_check_1(A, B) -> + A = beam_types:meet(A, beam_types:join(A, B)), + A = beam_types:join(A, beam_types:meet(A, B)), + ok. + +commutativity() -> + ?FORALL({TypeA, TypeB}, + ?LET(TypeA, type(), + ?LET(TypeB, type(), {TypeA, TypeB})), + commutativity_check(TypeA, TypeB)). + +commutativity_check(A, B) -> + true = beam_types:meet(A, B) =:= beam_types:meet(B, A), + true = beam_types:join(A, B) =:= beam_types:join(B, A), + true. + +%%% +%%% Generators +%%% + +type() -> + type(0). + +type(Depth) -> + oneof(nested_types(Depth) ++ + numerical_types() ++ + list_types() ++ + other_types()). + +other_types() -> + [any, gen_atom(), gen_binary(), none]. + +list_types() -> + [cons, list, nil]. + +numerical_types() -> + [gen_integer(), float, number]. + +nested_types(Depth) when Depth >= 3 -> []; +nested_types(Depth) -> [#t_map{}, gen_tuple(Depth + 1)]. + +gen_atom() -> + ?LET(Size, range(0, ?ATOM_SET_SIZE), + case Size of + 0 -> + #t_atom{}; + _ -> + ?LET(Set, sized_list(Size, atom()), + begin + #t_atom{elements=ordsets:from_list(Set)} + end) + end). + +gen_binary() -> + ?SHRINK(#t_bitstring{unit=range(1, 128)}, + [#t_bitstring{unit=[1, 2, 3, 5, 7, 8, 16, 32, 64]}]). + +gen_integer() -> + oneof([gen_integer_bounded(), #t_integer{}]). + +gen_integer_bounded() -> + ?LET(A, integer(), + ?LET(B, integer(), + begin + #t_integer{elements={min(A,B), max(A,B)}} + end)). + +gen_tuple(Depth) -> + ?SIZED(Size, + ?LET(Exact, oneof([true, false]), + ?LET(Elements, gen_tuple_elements(Size, Depth), + begin + #t_tuple{exact=Exact, + size=Size, + elements=Elements} + end))). + +gen_tuple_elements(Size, Depth) -> + ?LET(Types, sized_list(rand:uniform(Size div 4 + 1), gen_element(Depth)), + maps:from_list([{rand:uniform(Size), T} || T <- Types])). + +gen_element(Depth) -> + ?LAZY(?SUCHTHAT(Type, type(Depth), + case Type of + any -> false; + none -> false; + _ -> true + end)). + +sized_list(0, _Gen) -> []; +sized_list(N, Gen) -> [Gen | sized_list(N - 1, Gen)]. + +-endif. |