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%% -*- erlang -*-
%%
%% %CopyrightBegin%
%%
%% Copyright Ericsson AB 1996-2016. 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%
%%

%% Definition of the Erlang grammar.

Nonterminals
form
attribute attr_val
function function_clauses function_clause
clause_args clause_guard clause_body
expr expr_100 expr_150 expr_160 expr_200 expr_300 expr_400 expr_500
expr_600 expr_700 expr_800
expr_max
list tail
list_comprehension lc_expr lc_exprs
binary_comprehension
tuple
%struct
record_expr record_tuple record_field record_fields
map_expr map_tuple map_field map_field_assoc map_field_exact map_fields map_key
if_expr if_clause if_clauses case_expr cr_clause cr_clauses receive_expr
fun_expr fun_clause fun_clauses atom_or_var integer_or_var
try_expr try_catch try_clause try_clauses
function_call argument_list
exprs guard
atomic strings
prefix_op mult_op add_op list_op comp_op
binary bin_elements bin_element bit_expr
opt_bit_size_expr bit_size_expr opt_bit_type_list bit_type_list bit_type
top_type top_type_100 top_types type typed_expr typed_attr_val
type_sig type_sigs type_guard type_guards fun_type fun_type_100 binary_type
type_spec spec_fun typed_exprs typed_record_fields field_types field_type
map_pair_types map_pair_type
bin_base_type bin_unit_type type_200 type_300 type_400 type_500.

Terminals
char integer float atom string var

'(' ')' ',' '->' '{' '}' '[' ']' '|' '||' '<-' ';' ':' '#' '.'
'after' 'begin' 'case' 'try' 'catch' 'end' 'fun' 'if' 'of' 'receive' 'when'
'andalso' 'orelse'
'bnot' 'not'
'*' '/' 'div' 'rem' 'band' 'and'
'+' '-' 'bor' 'bxor' 'bsl' 'bsr' 'or' 'xor'
'++' '--'
'==' '/=' '=<' '<' '>=' '>' '=:=' '=/=' '<=' '=>' ':='
'<<' '>>'
'!' '=' '::' '..' '...'
'spec' 'callback' % helper
dot.

Expect 2.

Rootsymbol form.

form -> attribute dot : '$1'.
form -> function dot : '$1'.

attribute -> '-' atom attr_val               : build_attribute('$2', '$3').
attribute -> '-' atom typed_attr_val         : build_typed_attribute('$2','$3').
attribute -> '-' atom '(' typed_attr_val ')' : build_typed_attribute('$2','$4').
attribute -> '-' 'spec' type_spec            : build_type_spec('$2', '$3').
attribute -> '-' 'callback' type_spec        : build_type_spec('$2', '$3').

type_spec -> spec_fun type_sigs : {'$1', '$2'}.
type_spec -> '(' spec_fun type_sigs ')' : {'$2', '$3'}.

spec_fun ->                           atom : '$1'.
spec_fun ->                  atom ':' atom : {'$1', '$3'}.

typed_attr_val -> expr ',' typed_record_fields : {typed_record, '$1', '$3'}.
typed_attr_val -> expr '::' top_type           : {type_def, '$1', '$3'}.

typed_record_fields -> '{' typed_exprs '}' : {tuple, ?anno('$1'), '$2'}.

typed_exprs -> typed_expr                 : ['$1'].
typed_exprs -> typed_expr ',' typed_exprs : ['$1'|'$3'].
typed_exprs -> expr ',' typed_exprs       : ['$1'|'$3'].
typed_exprs -> typed_expr ',' exprs       : ['$1'|'$3'].

typed_expr -> expr '::' top_type          : {typed,'$1','$3'}.

type_sigs -> type_sig                     : ['$1'].
type_sigs -> type_sig ';' type_sigs       : ['$1'|'$3'].

type_sig -> fun_type                      : '$1'.
type_sig -> fun_type 'when' type_guards   : {type, ?anno('$1'), bounded_fun,
                                             ['$1','$3']}.

type_guards -> type_guard                 : ['$1'].
type_guards -> type_guard ',' type_guards : ['$1'|'$3'].

type_guard -> atom '(' top_types ')'      : {type, ?anno('$1'), constraint,
                                             ['$1', '$3']}.
type_guard -> var '::' top_type           : build_def('$1', '$3').

top_types -> top_type                     : ['$1'].
top_types -> top_type ',' top_types       : ['$1'|'$3'].

top_type -> var '::' top_type_100         : {ann_type, ?anno('$1'), ['$1','$3']}.
top_type -> top_type_100                  : '$1'.

top_type_100 -> type_200                  : '$1'.
top_type_100 -> type_200 '|' top_type_100 : lift_unions('$1','$3').

type_200 -> type_300 '..' type_300        : {type, ?anno('$1'), range,
                                             ['$1', '$3']}.
type_200 -> type_300                      : '$1'.

type_300 -> type_300 add_op type_400      : ?mkop2('$1', '$2', '$3').
type_300 -> type_400                      : '$1'.

type_400 -> type_400 mult_op type_500     : ?mkop2('$1', '$2', '$3').
type_400 -> type_500                      : '$1'.

type_500 -> prefix_op type                : ?mkop1('$1', '$2').
type_500 -> type                          : '$1'.

type -> '(' top_type ')'                  : '$2'.
type -> var                               : '$1'.
type -> atom                              : '$1'.
type -> atom '(' ')'                      : build_gen_type('$1').
type -> atom '(' top_types ')'            : build_type('$1', '$3').
type -> atom ':' atom '(' ')'             : {remote_type, ?anno('$1'),
                                             ['$1', '$3', []]}.
type -> atom ':' atom '(' top_types ')'   : {remote_type, ?anno('$1'),
                                             ['$1', '$3', '$5']}.
type -> '[' ']'                           : {type, ?anno('$1'), nil, []}.
type -> '[' top_type ']'                  : {type, ?anno('$1'), list, ['$2']}.
type -> '[' top_type ',' '...' ']'        : {type, ?anno('$1'),
                                             nonempty_list, ['$2']}.
type -> '#' '{' '}'                       : {type, ?anno('$1'), map, []}.
type -> '#' '{' map_pair_types '}'        : {type, ?anno('$1'), map, '$3'}.
type -> '{' '}'                           : {type, ?anno('$1'), tuple, []}.
type -> '{' top_types '}'                 : {type, ?anno('$1'), tuple, '$2'}.
type -> '#' atom '{' '}'                  : {type, ?anno('$1'), record, ['$2']}.
type -> '#' atom '{' field_types '}'      : {type, ?anno('$1'),
                                             record, ['$2'|'$4']}.
type -> binary_type                       : '$1'.
type -> integer                           : '$1'.
type -> 'fun' '(' ')'                     : {type, ?anno('$1'), 'fun', []}.
type -> 'fun' '(' fun_type_100 ')'        : '$3'.

fun_type_100 -> '(' '...' ')' '->' top_type
                                          : {type, ?anno('$1'), 'fun',
                                             [{type, ?anno('$1'), any}, '$5']}.
fun_type_100 -> fun_type                  : '$1'.

fun_type -> '(' ')' '->' top_type  : {type, ?anno('$1'), 'fun',
                                      [{type, ?anno('$1'), product, []}, '$4']}.
fun_type -> '(' top_types ')' '->' top_type
                                   : {type, ?anno('$1'), 'fun',
                                      [{type, ?anno('$1'), product, '$2'},'$5']}.

map_pair_types -> map_pair_type                    : ['$1'].
map_pair_types -> map_pair_type ',' map_pair_types : ['$1'|'$3'].
map_pair_type  -> top_type '=>' top_type           : {type, ?anno('$2'), map_field_assoc,['$1','$3']}.
map_pair_type  -> top_type ':=' top_type           : {type, ?anno('$2'), map_field_exact,['$1','$3']}.
map_pair_type  -> '...'                            : {type, ?anno('$1'), map_field_assoc,
                                                      [{type, ?anno('$1'), any, []},
                                                       {type, ?anno('$1'), any, []}]}.

field_types -> field_type                 : ['$1'].
field_types -> field_type ',' field_types : ['$1'|'$3'].

field_type -> atom '::' top_type          : {type, ?anno('$1'), field_type,
                                             ['$1', '$3']}.

binary_type -> '<<' '>>'                  : {type, ?anno('$1'),binary,
					     [abstract2(0, ?anno('$1')),
					      abstract2(0, ?anno('$1'))]}.
binary_type -> '<<' bin_base_type '>>'    : {type, ?anno('$1'),binary,
					     ['$2', abstract2(0, ?anno('$1'))]}.
binary_type -> '<<' bin_unit_type '>>'    : {type, ?anno('$1'),binary,
                                             [abstract2(0, ?anno('$1')), '$2']}.
binary_type -> '<<' bin_base_type ',' bin_unit_type '>>'
                                    : {type, ?anno('$1'), binary, ['$2', '$4']}.

bin_base_type -> var ':' type          : build_bin_type(['$1'], '$3').

bin_unit_type -> var ':' var '*' type  : build_bin_type(['$1', '$3'], '$5').

attr_val -> expr                     : ['$1'].
attr_val -> expr ',' exprs           : ['$1' | '$3'].
attr_val -> '(' expr ',' exprs ')'   : ['$2' | '$4'].

function -> function_clauses : build_function('$1').

function_clauses -> function_clause : ['$1'].
function_clauses -> function_clause ';' function_clauses : ['$1'|'$3'].

function_clause -> atom clause_args clause_guard clause_body :
	{clause,?anno('$1'),element(3, '$1'),'$2','$3','$4'}.


clause_args -> argument_list : element(1, '$1').

clause_guard -> 'when' guard : '$2'.
clause_guard -> '$empty' : [].

clause_body -> '->' exprs: '$2'.


expr -> 'catch' expr : {'catch',?anno('$1'),'$2'}.
expr -> expr_100 : '$1'.

expr_100 -> expr_150 '=' expr_100 : {match,?anno('$2'),'$1','$3'}.
expr_100 -> expr_150 '!' expr_100 : ?mkop2('$1', '$2', '$3').
expr_100 -> expr_150 : '$1'.

expr_150 -> expr_160 'orelse' expr_150 : ?mkop2('$1', '$2', '$3').
expr_150 -> expr_160 : '$1'.

expr_160 -> expr_200 'andalso' expr_160 : ?mkop2('$1', '$2', '$3').
expr_160 -> expr_200 : '$1'.

expr_200 -> expr_300 comp_op expr_300 :
	?mkop2('$1', '$2', '$3').
expr_200 -> expr_300 : '$1'.

expr_300 -> expr_400 list_op expr_300 :
	?mkop2('$1', '$2', '$3').
expr_300 -> expr_400 : '$1'.

expr_400 -> expr_400 add_op expr_500 :
	?mkop2('$1', '$2', '$3').
expr_400 -> expr_500 : '$1'.

expr_500 -> expr_500 mult_op expr_600 :
	?mkop2('$1', '$2', '$3').
expr_500 -> expr_600 : '$1'.

expr_600 -> prefix_op expr_700 :
	?mkop1('$1', '$2').
expr_600 -> map_expr : '$1'.
expr_600 -> expr_700 : '$1'.

expr_700 -> function_call : '$1'.
expr_700 -> record_expr : '$1'.
expr_700 -> expr_800 : '$1'.

expr_800 -> expr_max ':' expr_max :
	{remote,?anno('$2'),'$1','$3'}.
expr_800 -> expr_max : '$1'.

expr_max -> var : '$1'.
expr_max -> atomic : '$1'.
expr_max -> list : '$1'.
expr_max -> binary : '$1'.
expr_max -> list_comprehension : '$1'.
expr_max -> binary_comprehension : '$1'.
expr_max -> tuple : '$1'.
%%expr_max -> struct : '$1'.
expr_max -> '(' expr ')' : '$2'.
expr_max -> 'begin' exprs 'end' : {block,?anno('$1'),'$2'}.
expr_max -> if_expr : '$1'.
expr_max -> case_expr : '$1'.
expr_max -> receive_expr : '$1'.
expr_max -> fun_expr : '$1'.
expr_max -> try_expr : '$1'.


list -> '[' ']' : {nil,?anno('$1')}.
list -> '[' expr tail : {cons,?anno('$1'),'$2','$3'}.

tail -> ']' : {nil,?anno('$1')}.
tail -> '|' expr ']' : '$2'.
tail -> ',' expr tail : {cons,?anno('$2'),'$2','$3'}.


binary -> '<<' '>>' : {bin,?anno('$1'),[]}.
binary -> '<<' bin_elements '>>' : {bin,?anno('$1'),'$2'}.

bin_elements -> bin_element : ['$1'].
bin_elements -> bin_element ',' bin_elements : ['$1'|'$3'].

bin_element -> bit_expr opt_bit_size_expr opt_bit_type_list :
	{bin_element,?anno('$1'),'$1','$2','$3'}.

bit_expr -> prefix_op expr_max : ?mkop1('$1', '$2').
bit_expr -> expr_max : '$1'.

opt_bit_size_expr -> ':' bit_size_expr : '$2'.
opt_bit_size_expr -> '$empty' : default.

opt_bit_type_list -> '/' bit_type_list : '$2'.
opt_bit_type_list -> '$empty' : default.

bit_type_list -> bit_type '-' bit_type_list : ['$1' | '$3'].
bit_type_list -> bit_type : ['$1'].

bit_type -> atom             : element(3,'$1').
bit_type -> atom ':' integer : { element(3,'$1'), element(3,'$3') }.

bit_size_expr -> expr_max : '$1'.


list_comprehension -> '[' expr '||' lc_exprs ']' :
	{lc,?anno('$1'),'$2','$4'}.
binary_comprehension -> '<<' expr_max '||' lc_exprs '>>' :
	{bc,?anno('$1'),'$2','$4'}.
lc_exprs -> lc_expr : ['$1'].
lc_exprs -> lc_expr ',' lc_exprs : ['$1'|'$3'].

lc_expr -> expr : '$1'.
lc_expr -> expr '<-' expr : {generate,?anno('$2'),'$1','$3'}.
lc_expr -> binary '<=' expr : {b_generate,?anno('$2'),'$1','$3'}.

tuple -> '{' '}' : {tuple,?anno('$1'),[]}.
tuple -> '{' exprs '}' : {tuple,?anno('$1'),'$2'}.


%%struct -> atom tuple :
%%	{struct,?anno('$1'),element(3, '$1'),element(3, '$2')}.

map_expr -> '#' map_tuple :
	{map, ?anno('$1'),'$2'}.
map_expr -> expr_max '#' map_tuple :
	{map, ?anno('$2'),'$1','$3'}.
map_expr -> map_expr '#' map_tuple :
	{map, ?anno('$2'),'$1','$3'}.

map_tuple -> '{' '}' : [].
map_tuple -> '{' map_fields '}' : '$2'.

map_fields -> map_field : ['$1'].
map_fields -> map_field ',' map_fields : ['$1' | '$3'].

map_field -> map_field_assoc : '$1'.
map_field -> map_field_exact : '$1'.

map_field_assoc -> map_key '=>' expr :
	{map_field_assoc,?anno('$1'),'$1','$3'}.

map_field_exact -> map_key ':=' expr :
	{map_field_exact,?anno('$1'),'$1','$3'}.

map_key -> expr : '$1'.


%% N.B. This is called from expr_700.
%% N.B. Field names are returned as the complete object, even if they are
%% always atoms for the moment, this might change in the future.

record_expr -> '#' atom '.' atom :
	{record_index,?anno('$1'),element(3, '$2'),'$4'}.
record_expr -> '#' atom record_tuple :
	{record,?anno('$1'),element(3, '$2'),'$3'}.
record_expr -> expr_max '#' atom '.' atom :
	{record_field,?anno('$2'),'$1',element(3, '$3'),'$5'}.
record_expr -> expr_max '#' atom record_tuple :
	{record,?anno('$2'),'$1',element(3, '$3'),'$4'}.
record_expr -> record_expr '#' atom '.' atom :
	{record_field,?anno('$2'),'$1',element(3, '$3'),'$5'}.
record_expr -> record_expr '#' atom record_tuple :
	{record,?anno('$2'),'$1',element(3, '$3'),'$4'}.

record_tuple -> '{' '}' : [].
record_tuple -> '{' record_fields '}' : '$2'.

record_fields -> record_field : ['$1'].
record_fields -> record_field ',' record_fields : ['$1' | '$3'].

record_field -> var '=' expr : {record_field,?anno('$1'),'$1','$3'}.
record_field -> atom '=' expr : {record_field,?anno('$1'),'$1','$3'}.

%% N.B. This is called from expr_700.

function_call -> expr_800 argument_list :
	{call,?anno('$1'),'$1',element(1, '$2')}.


if_expr -> 'if' if_clauses 'end' : {'if',?anno('$1'),'$2'}.

if_clauses -> if_clause : ['$1'].
if_clauses -> if_clause ';' if_clauses : ['$1' | '$3'].

if_clause -> guard clause_body :
	{clause,?anno(hd(hd('$1'))),[],'$1','$2'}.


case_expr -> 'case' expr 'of' cr_clauses 'end' :
	{'case',?anno('$1'),'$2','$4'}.

cr_clauses -> cr_clause : ['$1'].
cr_clauses -> cr_clause ';' cr_clauses : ['$1' | '$3'].

cr_clause -> expr clause_guard clause_body :
	{clause,?anno('$1'),['$1'],'$2','$3'}.

receive_expr -> 'receive' cr_clauses 'end' :
	{'receive',?anno('$1'),'$2'}.
receive_expr -> 'receive' 'after' expr clause_body 'end' :
	{'receive',?anno('$1'),[],'$3','$4'}.
receive_expr -> 'receive' cr_clauses 'after' expr clause_body 'end' :
	{'receive',?anno('$1'),'$2','$4','$5'}.


fun_expr -> 'fun' atom '/' integer :
	{'fun',?anno('$1'),{function,element(3, '$2'),element(3, '$4')}}.
fun_expr -> 'fun' atom_or_var ':' atom_or_var '/' integer_or_var :
	{'fun',?anno('$1'),{function,'$2','$4','$6'}}.
fun_expr -> 'fun' fun_clauses 'end' :
	build_fun(?anno('$1'), '$2').

atom_or_var -> atom : '$1'.
atom_or_var -> var : '$1'.

integer_or_var -> integer : '$1'.
integer_or_var -> var : '$1'.

fun_clauses -> fun_clause : ['$1'].
fun_clauses -> fun_clause ';' fun_clauses : ['$1' | '$3'].

fun_clause -> argument_list clause_guard clause_body :
	{Args,Anno} = '$1',
	{clause,Anno,'fun',Args,'$2','$3'}.

fun_clause -> var argument_list clause_guard clause_body :
	{clause,element(2, '$1'),element(3, '$1'),element(1, '$2'),'$3','$4'}.

try_expr -> 'try' exprs 'of' cr_clauses try_catch :
	build_try(?anno('$1'),'$2','$4','$5').
try_expr -> 'try' exprs try_catch :
	build_try(?anno('$1'),'$2',[],'$3').

try_catch -> 'catch' try_clauses 'end' :
	{'$2',[]}.
try_catch -> 'catch' try_clauses 'after' exprs 'end' :
	{'$2','$4'}.
try_catch -> 'after' exprs 'end' :
	{[],'$2'}.

try_clauses -> try_clause : ['$1'].
try_clauses -> try_clause ';' try_clauses : ['$1' | '$3'].

try_clause -> expr clause_guard clause_body :
	A = ?anno('$1'),
	{clause,A,[{tuple,A,[{atom,A,throw},'$1',{var,A,'_'}]}],'$2','$3'}.
try_clause -> atom ':' expr clause_guard clause_body :
	A = ?anno('$1'),
	{clause,A,[{tuple,A,['$1','$3',{var,A,'_'}]}],'$4','$5'}.
try_clause -> var ':' expr clause_guard clause_body :
	A = ?anno('$1'),
	{clause,A,[{tuple,A,['$1','$3',{var,A,'_'}]}],'$4','$5'}.


argument_list -> '(' ')' : {[],?anno('$1')}.
argument_list -> '(' exprs ')' : {'$2',?anno('$1')}.


exprs -> expr : ['$1'].
exprs -> expr ',' exprs : ['$1' | '$3'].

guard -> exprs : ['$1'].
guard -> exprs ';' guard : ['$1'|'$3'].

atomic -> char : '$1'.
atomic -> integer : '$1'.
atomic -> float : '$1'.
atomic -> atom : '$1'.
atomic -> strings : '$1'.

strings -> string : '$1'.
strings -> string strings :
	{string,?anno('$1'),element(3, '$1') ++ element(3, '$2')}.

prefix_op -> '+' : '$1'.
prefix_op -> '-' : '$1'.
prefix_op -> 'bnot' : '$1'.
prefix_op -> 'not' : '$1'.

mult_op -> '/' : '$1'.
mult_op -> '*' : '$1'.
mult_op -> 'div' : '$1'.
mult_op -> 'rem' : '$1'.
mult_op -> 'band' : '$1'.
mult_op -> 'and' : '$1'.

add_op -> '+' : '$1'.
add_op -> '-' : '$1'.
add_op -> 'bor' : '$1'.
add_op -> 'bxor' : '$1'.
add_op -> 'bsl' : '$1'.
add_op -> 'bsr' : '$1'.
add_op -> 'or' : '$1'.
add_op -> 'xor' : '$1'.

list_op -> '++' : '$1'.
list_op -> '--' : '$1'.

comp_op -> '==' : '$1'.
comp_op -> '/=' : '$1'.
comp_op -> '=<' : '$1'.
comp_op -> '<' : '$1'.
comp_op -> '>=' : '$1'.
comp_op -> '>' : '$1'.
comp_op -> '=:=' : '$1'.
comp_op -> '=/=' : '$1'.

Erlang code.

-export([parse_form/1,parse_exprs/1,parse_term/1]).
-export([normalise/1,abstract/1,tokens/1,tokens/2]).
-export([abstract/2]).
-export([inop_prec/1,preop_prec/1,func_prec/0,max_prec/0]).
-export([type_inop_prec/1,type_preop_prec/1]).
-export([map_anno/2, fold_anno/3, mapfold_anno/3,
         new_anno/1, anno_to_term/1, anno_from_term/1]).

%% The following directive is needed for (significantly) faster compilation
%% of the generated .erl file by the HiPE compiler.  Please do not remove.
-compile([{hipe,[{regalloc,linear_scan}]}]).

-export_type([abstract_clause/0, abstract_expr/0, abstract_form/0,
              abstract_type/0, error_info/0]).

%% Start of Abstract Format

-type anno() :: erl_anno:anno().

-type abstract_form() :: af_module()
                       | af_behavior()
                       | af_behaviour()
                       | af_export()
                       | af_import()
                       | af_export_type()
                       | af_optional_callbacks()
                       | af_compile()
                       | af_file()
                       | af_record_decl()
                       | af_type_decl()
                       | af_function_spec()
                       | af_wild_attribute()
                       | af_function_decl().

-type af_module() :: {'attribute', anno(), 'module', module()}.

-type af_behavior() :: {'attribute', anno(), 'behavior', behaviour()}.

-type af_behaviour() :: {'attribute', anno(), 'behaviour', behaviour()}.

-type behaviour() :: atom().

-type af_export() :: {'attribute', anno(), 'export', af_fa_list()}.

-type af_import() :: {'attribute', anno(), 'import', af_fa_list()}.

-type af_fa_list() :: [{function_name(), arity()}].

-type af_export_type() :: {'attribute', anno(), 'export_type', af_ta_list()}.

-type af_ta_list() :: [{type_name(), arity()}].

-type af_optional_callbacks() ::
        {'attribute', anno(), 'optional_callbacks', af_fa_list()}.

-type af_compile() :: {'attribute', anno(), 'compile', any()}.

-type af_file() :: {'attribute', anno(), 'file', {string(), anno()}}.

-type af_record_decl() ::
        {'attribute', anno(), 'record', {record_name(), [af_field_decl()]}}.

-type af_field_decl() :: af_typed_field() | af_field().

-type af_typed_field() ::
        {'typed_record_field', af_field(), abstract_type()}.

-type af_field() :: {'record_field', anno(), af_field_name()}
                  | {'record_field', anno(), af_field_name(), abstract_expr()}.

-type af_type_decl() :: {'attribute', anno(), type_attr(),
                         {type_name(), abstract_type(), [af_variable()]}}.

-type type_attr() :: 'opaque' | 'type'.

-type af_function_spec() :: {'attribute', anno(), spec_attr(),
                             {{function_name(), arity()},
                              af_function_type_list()}}
                          | {'attribute', anno(), 'spec',
                             {{module(), function_name(), arity()},
                              af_function_type_list()}}.

-type spec_attr() :: 'callback' | 'spec'.

-type af_wild_attribute() :: {'attribute', anno(), atom(), any()}.

-type af_function_decl() ::
        {'function', anno(), function_name(), arity(), af_clause_seq()}.

-type abstract_expr() :: af_literal()
                       | af_match(abstract_expr())
                       | af_variable()
                       | af_tuple(abstract_expr())
                       | af_nil()
                       | af_cons(abstract_expr())
                       | af_bin(abstract_expr())
                       | af_binary_op(abstract_expr())
                       | af_unary_op(abstract_expr())
                       | af_record_access(abstract_expr())
                       | af_record_update(abstract_expr())
                       | af_record_index()
                       | af_record_field_access(abstract_expr())
                       | af_map_access(abstract_expr())
                       | af_map_update(abstract_expr())
                       | af_catch()
                       | af_local_call()
                       | af_remote_call()
                       | af_list_comprehension()
                       | af_binary_comprehension()
                       | af_block()
                       | af_if()
                       | af_case()
                       | af_try()
                       | af_receive()
                       | af_local_fun()
                       | af_remote_fun()
                       | af_fun()
                       | af_named_fun().

-type af_record_update(T) :: {'record',
                              anno(),
                              abstract_expr(),
                              record_name(),
                              [af_record_field(T)]}.

-type af_catch() :: {'catch', anno(), abstract_expr()}.

-type af_local_call() :: {'call', anno(), af_local_function(), af_args()}.

-type af_remote_call() :: {'call', anno(), af_remote_function(), af_args()}.

-type af_args() :: [abstract_expr()].

-type af_local_function() :: abstract_expr().

-type af_remote_function() ::
        {'remote', anno(), abstract_expr(), abstract_expr()}.

-type af_list_comprehension() ::
        {'lc', anno(), af_template(), af_qualifier_seq()}.

-type af_binary_comprehension() ::
        {'bc', anno(), af_template(), af_qualifier_seq()}.

-type af_template() :: abstract_expr().

-type af_qualifier_seq() :: [af_qualifier()].

-type af_qualifier() :: af_generator() | af_filter().

-type af_generator() :: {'generate', anno(), af_pattern(), abstract_expr()}
                      | {'b_generate', anno(), af_pattern(), abstract_expr()}.

-type af_filter() :: abstract_expr().

-type af_block() :: {'block', anno(), af_body()}.

-type af_if() :: {'if', anno(), af_clause_seq()}.

-type af_case() :: {'case', anno(), abstract_expr(), af_clause_seq()}.

-type af_try() :: {'try',
                   anno(),
                   af_body() | [],
                   af_clause_seq() | [],
                   af_clause_seq() | [],
                   af_body() | []}.

-type af_clause_seq() :: [af_clause(), ...].

-type af_receive() ::
        {'receive', anno(), af_clause_seq()}
      | {'receive', anno(), af_clause_seq(), abstract_expr(), af_body()}.

-type af_local_fun() ::
        {'fun', anno(), {'function', function_name(), arity()}}.

-type af_remote_fun() ::
        {'fun', anno(), {'function', module(), function_name(), arity()}}
      | {'fun', anno(), {'function', af_atom(), af_atom(), af_integer()}}.

-type af_fun() :: {'fun', anno(), {'clauses', af_clause_seq()}}.

-type af_named_fun() :: {'named_fun', anno(), fun_name(), af_clause_seq()}.

-type fun_name() :: atom().

-type abstract_clause() :: af_clause().

-type af_clause() ::
        {'clause', anno(), [af_pattern()], af_guard_seq(), af_body()}.

-type af_body() :: [abstract_expr(), ...].

-type af_guard_seq() :: [af_guard()].

-type af_guard() :: [af_guard_test(), ...].

-type af_guard_test() :: af_literal()
                       | af_variable()
                       | af_tuple(af_guard_test())
                       | af_nil()
                       | af_cons(af_guard_test())
                       | af_bin(af_guard_test())
                       | af_binary_op(af_guard_test())
                       | af_unary_op(af_guard_test())
                       | af_record_access(af_guard_test())
                       | af_record_index()
                       | af_record_field_access(af_guard_test())
                       | af_map_access(abstract_expr()) % FIXME
                       | af_map_update(abstract_expr()) % FIXME
                       | af_guard_call()
                       | af_remote_guard_call().

-type af_record_field_access(T) ::
        {'record_field', anno(), T, record_name(), af_field_name()}.

-type af_map_access(T) :: {'map', anno(), [af_map_field(T)]}.

-type af_map_update(T) :: {'map', anno(), T, [af_map_field(T)]}.

-type af_map_field(T) :: af_map_field_assoc(T) | af_map_field_exact(T).

-type af_map_field_assoc(T) :: {'map_field_assoc', anno(), T, T}.

-type af_map_field_exact(T) :: {'map_field_exact', anno(), T, T}.

-type af_guard_call() :: {'call', anno(), function_name(), [af_guard_test()]}.

-type af_remote_guard_call() ::
        {'call', anno(),
         {'remote', anno(), af_lit_atom('erlang'), af_atom()},
         [af_guard_test()]}.

-type af_pattern() :: af_literal()
                    | af_match(af_pattern())
                    | af_variable()
                    | af_tuple(af_pattern())
                    | af_nil()
                    | af_cons(af_pattern())
                    | af_bin(af_pattern())
                    | af_binary_op(af_pattern())
                    | af_unary_op(af_pattern())
                    | af_record_access(af_pattern())
                    | af_record_index()
                    | af_map_pattern().

-type af_record_index() ::
        {'record_index', anno(), record_name(), af_field_name()}.

-type af_record_access(T) ::
        {'record', anno(), record_name(), [af_record_field(T)]}.

-type af_record_field(T) :: {'record_field', anno(), af_field_name(), T}.

-type af_map_pattern() ::
        {'map', anno(), [af_map_field_exact(abstract_expr)]}. % FIXME?

-type abstract_type() :: af_annotated_type()
                       | af_atom()
                       | af_bitstring_type()
                       | af_empty_list_type()
                       | af_fun_type()
                       | af_integer_range_type()
                       | af_map_type()
                       | af_predefined_type()
                       | af_record_type()
                       | af_remote_type()
                       | af_singleton_integer_type()
                       | af_tuple_type()
                       | af_type_union()
                       | af_type_variable()
                       | af_user_defined_type().

-type af_annotated_type() ::
        {'ann_type', anno(), [af_anno() | abstract_type()]}. % [Var, Type]

-type af_anno() :: af_variable().

-type af_bitstring_type() ::
        {'type', anno(), 'binary', [af_singleton_integer_type()]}.

-type af_empty_list_type() :: {'type', anno(), 'nil', []}.

-type af_fun_type() :: {'type', anno(), 'fun', []}
                     | {'type', anno(), 'fun', [{'type', anno(), 'any'} |
                                                abstract_type()]}
                     | {'type', anno(), 'fun', af_function_type()}.

-type af_integer_range_type() ::
        {'type', anno(), 'range', [af_singleton_integer_type()]}.

-type af_map_type() :: {'type', anno(), 'map', 'any'}
                     | {'type', anno(), 'map', [af_map_pair_type()]}.

-type af_map_pair_type() ::
        {'type', anno(), 'map_field_assoc', [abstract_type()]}.

-type af_predefined_type() ::
        {'type', anno(), type_name(),  [abstract_type()]}.

-type af_record_type() ::
        {'type', anno(), 'record', [(Name :: af_atom()) % [Name, T1, ... Tk]
                                    | af_record_field_type()]}.

-type af_record_field_type() ::
        {'type', anno(), 'field_type', [(Name :: af_atom()) |
                                        abstract_type()]}. % [Name, Type]

-type af_remote_type() ::
        {'remote_type', anno(), [(Module :: af_atom()) |
                                 (TypeName :: af_atom()) |
                                 [abstract_type()]]}. % [Module, Name, [T]]

-type af_tuple_type() :: {'type', anno(), 'tuple', 'any'}
                       | {'type', anno(), 'tuple', [abstract_type()]}.

-type af_type_union() :: {'type', anno(), 'union', [abstract_type()]}.

-type af_type_variable() :: {'var', anno(), atom()}. % except '_'

-type af_user_defined_type() ::
        {'user_type', anno(), type_name(),  [abstract_type()]}.

-type af_function_type_list() :: [af_constrained_function_type() |
                                  af_function_type()].

-type af_constrained_function_type() ::
        {'type', anno(), 'bounded_fun', [af_function_type() | % [Ft, Fc]
                                         af_function_constraint()]}.

-type af_function_type() ::
        {'type', anno(), 'fun',
         [{'type', anno(), 'product', [abstract_type()]} | abstract_type()]}.

-type af_function_constraint() :: [af_constraint()].

-type af_constraint() :: {'type', anno(), 'constraint',
                          af_lit_atom('is_subtype'),
                          [af_type_variable() | abstract_type()]}. % [V, T]

-type af_singleton_integer_type() :: af_integer()
                                   | af_unary_op(af_singleton_integer_type())
                                   | af_binary_op(af_singleton_integer_type()).

-type af_literal() :: af_atom() | af_integer() | af_float() | af_string().

-type af_atom() :: af_lit_atom(atom()).

-type af_lit_atom(A) :: {'atom', anno(), A}.

-type af_integer() :: {'integer', anno(), non_neg_integer()}.

-type af_float() :: {'float', anno(), float()}.

-type af_string() :: {'string', anno(), string()}.

-type af_match(T) :: {'match', anno(), af_pattern(), T}.

-type af_variable() :: {'var', anno(), atom()}. % | af_anon_variable()

%-type af_anon_variable() :: {'var', anno(), '_'}.

-type af_tuple(T) :: {'tuple', anno(), [T]}.

-type af_nil() :: {'nil', anno()}.

-type af_cons(T) :: {'cons', anno(), T, T}.

-type af_bin(T) :: {'bin', anno(), [af_binelement(T)]}.

-type af_binelement(T) :: {'bin_element',
                           anno(),
                           T,
                           af_binelement_size(),
                           type_specifier_list()}.

-type af_binelement_size() :: 'default' | abstract_expr().

-type af_binary_op(T) :: {'op', anno(), binary_op(), T, T}.

-type binary_op() :: '/' | '*' | 'div' | 'rem' | 'band' | 'and' | '+' | '-'
                   | 'bor' | 'bxor' | 'bsl' | 'bsr' | 'or' | 'xor' | '++'
                   | '--' | '==' | '/=' | '=<' | '<'  | '>=' | '>' | '=:='
                   | '=/='.

-type af_unary_op(T) :: {'op', anno(), unary_op(), T}.

-type unary_op() :: '+' | '*' | 'bnot' | 'not'.

%% See also lib/stdlib/{src/erl_bits.erl,include/erl_bits.hrl}.
-type type_specifier_list() :: 'default' | [type_specifier(), ...].

-type type_specifier() :: type()
                        | signedness()
                        | endianness()
                        | unit().

-type type() :: 'integer'
              | 'float'
              | 'binary'
              | 'bytes'
              | 'bitstring'
              | 'bits'
              | 'utf8'
              | 'utf16'
              | 'utf32'.

-type signedness() :: 'signed' | 'unsigned'.

-type endianness() :: 'big' | 'little' | 'native'.

-type unit() :: {'unit', 1..256}.

-type record_name() :: atom().

-type af_field_name() :: af_atom().

-type function_name() :: atom().

-type type_name() :: atom().

%% End of Abstract Format

%% XXX. To be refined.
-type error_description() :: term().
-type error_info() :: {erl_anno:line(), module(), error_description()}.
-type token() :: erl_scan:token().

%% mkop(Op, Arg) -> {op,Anno,Op,Arg}.
%% mkop(Left, Op, Right) -> {op,Anno,Op,Left,Right}.

-define(mkop2(L, OpAnno, R),
        begin
            {Op,Anno} = OpAnno,
            {op,Anno,Op,L,R}
        end).

-define(mkop1(OpAnno, A),
        begin
            {Op,Anno} = OpAnno,
            {op,Anno,Op,A}
        end).

%% keep track of annotation info in tokens
-define(anno(Tup), element(2, Tup)).

%% Entry points compatible to old erl_parse.
%% These really suck and are only here until Calle gets multiple
%% entry points working.

-spec parse_form(Tokens) -> {ok, AbsForm} | {error, ErrorInfo} when
      Tokens :: [token()],
      AbsForm :: abstract_form(),
      ErrorInfo :: error_info().
parse_form([{'-',A1},{atom,A2,spec}|Tokens]) ->
    parse([{'-',A1},{'spec',A2}|Tokens]);
parse_form([{'-',A1},{atom,A2,callback}|Tokens]) ->
    parse([{'-',A1},{'callback',A2}|Tokens]);
parse_form(Tokens) ->
    parse(Tokens).

-spec parse_exprs(Tokens) -> {ok, ExprList} | {error, ErrorInfo} when
      Tokens :: [token()],
      ExprList :: [abstract_expr()],
      ErrorInfo :: error_info().
parse_exprs(Tokens) ->
    A = erl_anno:new(0),
    case parse([{atom,A,f},{'(',A},{')',A},{'->',A}|Tokens]) of
	{ok,{function,_Lf,f,0,[{clause,_Lc,[],[],Exprs}]}} ->
	    {ok,Exprs};
	{error,_} = Err -> Err
    end.

-spec parse_term(Tokens) -> {ok, Term} | {error, ErrorInfo} when
      Tokens :: [token()],
      Term :: term(),
      ErrorInfo :: error_info().
parse_term(Tokens) ->
    A = erl_anno:new(0),
    case parse([{atom,A,f},{'(',A},{')',A},{'->',A}|Tokens]) of
	{ok,{function,_Af,f,0,[{clause,_Ac,[],[],[Expr]}]}} ->
	    try normalise(Expr) of
		Term -> {ok,Term}
	    catch
		_:_R -> {error,{location(?anno(Expr)),?MODULE,"bad term"}}
	    end;
	{ok,{function,_Af,f,A,[{clause,_Ac,[],[],[_E1,E2|_Es]}]}} ->
	    {error,{location(?anno(E2)),?MODULE,"bad term"}};
	{error,_} = Err -> Err
    end.

-type attributes() :: 'export' | 'file' | 'import' | 'module'
		    | 'opaque' | 'record' | 'type'.

build_typed_attribute({atom,Aa,record},
		      {typed_record, {atom,_An,RecordName}, RecTuple}) ->
    {attribute,Aa,record,{RecordName,record_tuple(RecTuple)}};
build_typed_attribute({atom,Aa,Attr},
                      {type_def, {call,_,{atom,_,TypeName},Args}, Type})
  when Attr =:= 'type' ; Attr =:= 'opaque' ->
    case lists:all(fun({var, _, _}) -> true;
                      (_)           -> false
                   end, Args) of
        true -> {attribute,Aa,Attr,{TypeName,Type,Args}};
        false -> error_bad_decl(Aa, Attr)
    end;
build_typed_attribute({atom,Aa,Attr},_) ->
    case Attr of
        record -> error_bad_decl(Aa, record);
        type   -> error_bad_decl(Aa, type);
	opaque -> error_bad_decl(Aa, opaque);
        _      -> ret_err(Aa, "bad attribute")
    end.

build_type_spec({Kind,Aa}, {SpecFun, TypeSpecs})
  when (Kind =:= spec) or (Kind =:= callback) ->
    NewSpecFun =
	case SpecFun of
	    {atom, _, Fun} ->
		{Fun, find_arity_from_specs(TypeSpecs)};
	    {{atom,_, Mod}, {atom,_, Fun}} ->
		{Mod,Fun,find_arity_from_specs(TypeSpecs)}
        end,
    {attribute,Aa,Kind,{NewSpecFun, TypeSpecs}}.

find_arity_from_specs([Spec|_]) ->
    %% Use the first spec to find the arity. If all are not the same,
    %% erl_lint will find this.
    Fun = case Spec of
	      {type, _, bounded_fun, [F, _]} -> F;
	      {type, _, 'fun', _} = F -> F
	  end,
    {type, _, 'fun', [{type, _, product, Args},_]} = Fun,
    length(Args).

build_def({var, A, '_'}, _Types) ->
    ret_err(A, "bad type variable");
build_def(LHS, Types) ->
    IsSubType = {atom, ?anno(LHS), is_subtype},
    {type, ?anno(LHS), constraint, [IsSubType, [LHS, Types]]}.

lift_unions(T1, {type, _Aa, union, List}) ->
    {type, ?anno(T1), union, [T1|List]};
lift_unions(T1, T2) ->
    {type, ?anno(T1), union, [T1, T2]}.

build_gen_type({atom, Aa, tuple}) ->
    {type, Aa, tuple, any};
build_gen_type({atom, Aa, map}) ->
    {type, Aa, map, any};
build_gen_type({atom, Aa, Name}) ->
    Tag = type_tag(Name, 0),
    {Tag, Aa, Name, []}.

build_bin_type([{var, _, '_'}|Left], Int) ->
    build_bin_type(Left, Int);
build_bin_type([], Int) ->
    Int;
build_bin_type([{var, Aa, _}|_], _) ->
    ret_err(Aa, "Bad binary type").

build_type({atom, A, Name}, Types) ->
    Tag = type_tag(Name, length(Types)),
    {Tag, A, Name, Types}.

type_tag(TypeName, NumberOfTypeVariables) ->
    case erl_internal:is_type(TypeName, NumberOfTypeVariables) of
        true -> type;
        false -> user_type
    end.

abstract2(Term, Anno) ->
    Line = erl_anno:line(Anno),
    abstract(Term, Line).

%% build_attribute(AttrName, AttrValue) ->
%%	{attribute,Anno,module,Module}
%%	{attribute,Anno,export,Exports}
%%	{attribute,Anno,import,Imports}
%%	{attribute,Anno,record,{Name,Inits}}
%%	{attribute,Anno,file,{Name,Line}}
%%	{attribute,Anno,Name,Val}

build_attribute({atom,Aa,module}, Val) ->
    case Val of
	[{atom,_Am,Module}] ->
	    {attribute,Aa,module,Module};
	[{atom,_Am,Module},ExpList] ->
	    {attribute,Aa,module,{Module,var_list(ExpList)}};
	_Other ->
	    error_bad_decl(Aa, module)
    end;
build_attribute({atom,Aa,export}, Val) ->
    case Val of
	[ExpList] ->
	    {attribute,Aa,export,farity_list(ExpList)};
	_Other -> error_bad_decl(Aa, export)
    end;
build_attribute({atom,Aa,import}, Val) ->
    case Val of
	[{atom,_Am,Mod},ImpList] ->
	    {attribute,Aa,import,{Mod,farity_list(ImpList)}};
	_Other -> error_bad_decl(Aa, import)
    end;
build_attribute({atom,Aa,record}, Val) ->
    case Val of
	[{atom,_An,Record},RecTuple] ->
	    {attribute,Aa,record,{Record,record_tuple(RecTuple)}};
	_Other -> error_bad_decl(Aa, record)
    end;
build_attribute({atom,Aa,file}, Val) ->
    case Val of
	[{string,_An,Name},{integer,_Al,Line}] ->
	    {attribute,Aa,file,{Name,Line}};
	_Other -> error_bad_decl(Aa, file)
    end;
build_attribute({atom,Aa,Attr}, Val) ->
    case Val of
	[Expr0] ->
	    Expr = attribute_farity(Expr0),
	    {attribute,Aa,Attr,term(Expr)};
	_Other -> ret_err(Aa, "bad attribute")
    end.

var_list({cons,_Ac,{var,_,V},Tail}) ->
    [V|var_list(Tail)];
var_list({nil,_An}) -> [];
var_list(Other) ->
    ret_err(?anno(Other), "bad variable list").

attribute_farity({cons,A,H,T}) ->
    {cons,A,attribute_farity(H),attribute_farity(T)};
attribute_farity({tuple,A,Args0}) ->
    Args = attribute_farity_list(Args0),
    {tuple,A,Args};
attribute_farity({map,A,Args0}) ->
    Args = attribute_farity_map(Args0),
    {map,A,Args};
attribute_farity({op,A,'/',{atom,_,_}=Name,{integer,_,_}=Arity}) ->
    {tuple,A,[Name,Arity]};
attribute_farity(Other) -> Other.

attribute_farity_list(Args) ->
    [attribute_farity(A) || A <- Args].

%% It is not meaningful to have farity keys.
attribute_farity_map(Args) ->
    [{Op,A,K,attribute_farity(V)} || {Op,A,K,V} <- Args].

-spec error_bad_decl(erl_anno:anno(), attributes()) -> no_return().

error_bad_decl(Anno, S) ->
    ret_err(Anno, io_lib:format("bad ~w declaration", [S])).

farity_list({cons,_Ac,{op,_Ao,'/',{atom,_Aa,A},{integer,_Ai,I}},Tail}) ->
    [{A,I}|farity_list(Tail)];
farity_list({nil,_An}) -> [];
farity_list(Other) ->
    ret_err(?anno(Other), "bad function arity").

record_tuple({tuple,_At,Fields}) ->
    record_fields(Fields);
record_tuple(Other) ->
    ret_err(?anno(Other), "bad record declaration").

record_fields([{atom,Aa,A}|Fields]) ->
    [{record_field,Aa,{atom,Aa,A}}|record_fields(Fields)];
record_fields([{match,_Am,{atom,Aa,A},Expr}|Fields]) ->
    [{record_field,Aa,{atom,Aa,A},Expr}|record_fields(Fields)];
record_fields([{typed,Expr,TypeInfo}|Fields]) ->
    [Field] = record_fields([Expr]),
    [{typed_record_field,Field,TypeInfo}|record_fields(Fields)];
record_fields([Other|_Fields]) ->
    ret_err(?anno(Other), "bad record field");
record_fields([]) -> [].

term(Expr) ->
    try normalise(Expr)
    catch _:_R -> ret_err(?anno(Expr), "bad attribute")
    end.

%% build_function([Clause]) -> {function,Anno,Name,Arity,[Clause]}

build_function(Cs) ->
    Name = element(3, hd(Cs)),
    Arity = length(element(4, hd(Cs))),
    {function,?anno(hd(Cs)),Name,Arity,check_clauses(Cs, Name, Arity)}.

%% build_fun(Anno, [Clause]) -> {'fun',Anno,{clauses,[Clause]}}.

build_fun(Anno, Cs) ->
    Name = element(3, hd(Cs)),
    Arity = length(element(4, hd(Cs))),
    CheckedCs = check_clauses(Cs, Name, Arity),
    case Name of
        'fun' ->
            {'fun',Anno,{clauses,CheckedCs}};
        Name ->
            {named_fun,Anno,Name,CheckedCs}
    end.

check_clauses(Cs, Name, Arity) ->
    [case C of
         {clause,A,N,As,G,B} when N =:= Name, length(As) =:= Arity ->
             {clause,A,As,G,B};
         {clause,A,_N,_As,_G,_B} ->
             ret_err(A, "head mismatch")
     end || C <- Cs].

build_try(A,Es,Scs,{Ccs,As}) ->
    {'try',A,Es,Scs,Ccs,As}.

-spec ret_err(_, _) -> no_return().
ret_err(Anno, S) ->
    return_error(location(Anno), S).

location(Anno) ->
    erl_anno:location(Anno).

%%  Convert between the abstract form of a term and a term.

-spec normalise(AbsTerm) -> Data when
      AbsTerm :: abstract_expr(),
      Data :: term().
normalise({char,_,C}) -> C;
normalise({integer,_,I}) -> I;
normalise({float,_,F}) -> F;
normalise({atom,_,A}) -> A;
normalise({string,_,S}) -> S;
normalise({nil,_}) -> [];
normalise({bin,_,Fs}) ->
    {value, B, _} =
	eval_bits:expr_grp(Fs, [],
			   fun(E, _) ->
				   {value, normalise(E), []}
			   end, [], true),
    B;
normalise({cons,_,Head,Tail}) ->
    [normalise(Head)|normalise(Tail)];
normalise({tuple,_,Args}) ->
    list_to_tuple(normalise_list(Args));
normalise({map,_,Pairs}=M) ->
    maps:from_list(lists:map(fun
		%% only allow '=>'
		({map_field_assoc,_,K,V}) -> {normalise(K),normalise(V)};
		(_) -> erlang:error({badarg,M})
	    end, Pairs));
%% Special case for unary +/-.
normalise({op,_,'+',{char,_,I}}) -> I;
normalise({op,_,'+',{integer,_,I}}) -> I;
normalise({op,_,'+',{float,_,F}}) -> F;
normalise({op,_,'-',{char,_,I}}) -> -I;		%Weird, but compatible!
normalise({op,_,'-',{integer,_,I}}) -> -I;
normalise({op,_,'-',{float,_,F}}) -> -F;
normalise(X) -> erlang:error({badarg, X}).

normalise_list([H|T]) ->
    [normalise(H)|normalise_list(T)];
normalise_list([]) ->
    [].

-spec abstract(Data) -> AbsTerm when
      Data :: term(),
      AbsTerm :: abstract_expr().
abstract(T) ->
    Anno = erl_anno:new(0),
    abstract(T, Anno, enc_func(epp:default_encoding())).

-type encoding_func() :: fun((non_neg_integer()) -> boolean()).

%%% abstract/2 takes line and encoding options
-spec abstract(Data, Options) -> AbsTerm when
      Data :: term(),
      Options :: Line | [Option],
      Option :: {line, Line} | {encoding, Encoding},
      Encoding :: 'latin1' | 'unicode' | 'utf8' | 'none' | encoding_func(),
      Line :: erl_anno:line(),
      AbsTerm :: abstract_expr().

abstract(T, Line) when is_integer(Line) ->
    Anno = erl_anno:new(Line),
    abstract(T, Anno, enc_func(epp:default_encoding()));
abstract(T, Options) when is_list(Options) ->
    Line = proplists:get_value(line, Options, 0),
    Encoding = proplists:get_value(encoding, Options,epp:default_encoding()),
    EncFunc = enc_func(Encoding),
    Anno = erl_anno:new(Line),
    abstract(T, Anno, EncFunc).

-define(UNICODE(C),
         (C < 16#D800 orelse
          C > 16#DFFF andalso C < 16#FFFE orelse
          C > 16#FFFF andalso C =< 16#10FFFF)).

enc_func(latin1) -> fun(C) -> C < 256 end;
enc_func(unicode) -> fun(C) -> ?UNICODE(C) end;
enc_func(utf8) -> fun(C) -> ?UNICODE(C) end;
enc_func(none) -> none;
enc_func(Fun) when is_function(Fun, 1) -> Fun;
enc_func(Term) -> erlang:error({badarg, Term}).

abstract(T, A, _E) when is_integer(T) -> {integer,A,T};
abstract(T, A, _E) when is_float(T) -> {float,A,T};
abstract(T, A, _E) when is_atom(T) -> {atom,A,T};
abstract([], A, _E) -> {nil,A};
abstract(B, A, _E) when is_bitstring(B) ->
    {bin, A, [abstract_byte(Byte, A) || Byte <- bitstring_to_list(B)]};
abstract([H|T], A, none=E) ->
    {cons,A,abstract(H, A, E),abstract(T, A, E)};
abstract(List, A, E) when is_list(List) ->
    abstract_list(List, [], A, E);
abstract(Tuple, A, E) when is_tuple(Tuple) ->
    {tuple,A,abstract_tuple_list(tuple_to_list(Tuple), A, E)};
abstract(Map, A, E) when is_map(Map) ->
    {map,A,abstract_map_fields(maps:to_list(Map),A,E)}.

abstract_list([H|T], String, A, E) ->
    case is_integer(H) andalso H >= 0 andalso E(H) of
        true ->
            abstract_list(T, [H|String], A, E);
        false ->
            AbstrList = {cons,A,abstract(H, A, E),abstract(T, A, E)},
            not_string(String, AbstrList, A, E)
    end;
abstract_list([], String, A, _E) ->
    {string, A, lists:reverse(String)};
abstract_list(T, String, A, E) ->
    not_string(String, abstract(T, A, E), A, E).

not_string([C|T], Result, A, E) ->
    not_string(T, {cons, A, {integer, A, C}, Result}, A, E);
not_string([], Result, _A, _E) ->
    Result.

abstract_tuple_list([H|T], A, E) ->
    [abstract(H, A, E)|abstract_tuple_list(T, A, E)];
abstract_tuple_list([], _A, _E) ->
    [].

abstract_map_fields(Fs,A,E) ->
    [{map_field_assoc,A,abstract(K,A,E),abstract(V,A,E)}||{K,V}<-Fs].

abstract_byte(Byte, A) when is_integer(Byte) ->
    {bin_element, A, {integer, A, Byte}, default, default};
abstract_byte(Bits, A) ->
    Sz = bit_size(Bits),
    <<Val:Sz>> = Bits,
    {bin_element, A, {integer, A, Val}, {integer, A, Sz}, default}.

%%  Generate a list of tokens representing the abstract term.

-spec tokens(AbsTerm) -> Tokens when
      AbsTerm :: abstract_expr(),
      Tokens :: [token()].
tokens(Abs) ->
    tokens(Abs, []).

-spec tokens(AbsTerm, MoreTokens) -> Tokens when
      AbsTerm :: abstract_expr(),
      MoreTokens :: [token()],
      Tokens :: [token()].
tokens({char,A,C}, More) -> [{char,A,C}|More];
tokens({integer,A,N}, More) -> [{integer,A,N}|More];
tokens({float,A,F}, More) -> [{float,A,F}|More];
tokens({atom,Aa,A}, More) -> [{atom,Aa,A}|More];
tokens({var,A,V}, More) -> [{var,A,V}|More];
tokens({string,A,S}, More) -> [{string,A,S}|More];
tokens({nil,A}, More) -> [{'[',A},{']',A}|More];
tokens({cons,A,Head,Tail}, More) ->
    [{'[',A}|tokens(Head, tokens_tail(Tail, More))];
tokens({tuple,A,[]}, More) ->
    [{'{',A},{'}',A}|More];
tokens({tuple,A,[E|Es]}, More) ->
    [{'{',A}|tokens(E, tokens_tuple(Es, ?anno(E), More))].

tokens_tail({cons,A,Head,Tail}, More) ->
    [{',',A}|tokens(Head, tokens_tail(Tail, More))];
tokens_tail({nil,A}, More) ->
    [{']',A}|More];
tokens_tail(Other, More) ->
    A = ?anno(Other),
    [{'|',A}|tokens(Other, [{']',A}|More])].

tokens_tuple([E|Es], Anno, More) ->
    [{',',Anno}|tokens(E, tokens_tuple(Es, ?anno(E), More))];
tokens_tuple([], Anno, More) ->
    [{'}',Anno}|More].

%% Give the relative precedences of operators.

inop_prec('=') -> {150,100,100};
inop_prec('!') -> {150,100,100};
inop_prec('orelse') -> {160,150,150};
inop_prec('andalso') -> {200,160,160};
inop_prec('==') -> {300,200,300};
inop_prec('/=') -> {300,200,300};
inop_prec('=<') -> {300,200,300};
inop_prec('<') -> {300,200,300};
inop_prec('>=') -> {300,200,300};
inop_prec('>') -> {300,200,300};
inop_prec('=:=') -> {300,200,300};
inop_prec('=/=') -> {300,200,300};
inop_prec('++') -> {400,300,300};
inop_prec('--') -> {400,300,300};
inop_prec('+') -> {400,400,500};
inop_prec('-') -> {400,400,500};
inop_prec('bor') -> {400,400,500};
inop_prec('bxor') -> {400,400,500};
inop_prec('bsl') -> {400,400,500};
inop_prec('bsr') -> {400,400,500};
inop_prec('or') -> {400,400,500};
inop_prec('xor') -> {400,400,500};
inop_prec('*') -> {500,500,600};
inop_prec('/') -> {500,500,600};
inop_prec('div') -> {500,500,600};
inop_prec('rem') -> {500,500,600};
inop_prec('band') -> {500,500,600};
inop_prec('and') -> {500,500,600};
inop_prec('#') -> {800,700,800};
inop_prec(':') -> {900,800,900};
inop_prec('.') -> {900,900,1000}.

-type pre_op() :: 'catch' | '+' | '-' | 'bnot' | 'not' | '#'.

-spec preop_prec(pre_op()) -> {0 | 600 | 700, 100 | 700 | 800}.

preop_prec('catch') -> {0,100};
preop_prec('+') -> {600,700};
preop_prec('-') -> {600,700};
preop_prec('bnot') -> {600,700};
preop_prec('not') -> {600,700};
preop_prec('#') -> {700,800}.

-spec func_prec() -> {800,700}.

func_prec() -> {800,700}.

-spec max_prec() -> 900.

max_prec() -> 900.

-type prec() :: non_neg_integer().

-type type_inop() :: '::' | '|' | '..' | '+' | '-' | 'bor' | 'bxor'
                   | 'bsl' | 'bsr' | '*' | '/' | 'div' | 'rem' | 'band'.

-type type_preop() :: '+' | '-' | 'bnot' | '#'.

-spec type_inop_prec(type_inop()) -> {prec(), prec(), prec()}.

type_inop_prec('=') -> {150,100,100};
type_inop_prec('::') -> {160,150,150};
type_inop_prec('|') -> {180,170,170};
type_inop_prec('..') -> {300,200,300};
type_inop_prec('+') -> {400,400,500};
type_inop_prec('-') -> {400,400,500};
type_inop_prec('bor') -> {400,400,500};
type_inop_prec('bxor') -> {400,400,500};
type_inop_prec('bsl') -> {400,400,500};
type_inop_prec('bsr') -> {400,400,500};
type_inop_prec('*') -> {500,500,600};
type_inop_prec('/') -> {500,500,600};
type_inop_prec('div') -> {500,500,600};
type_inop_prec('rem') -> {500,500,600};
type_inop_prec('band') -> {500,500,600};
type_inop_prec('#') -> {800,700,800}.

-spec type_preop_prec(type_preop()) -> {prec(), prec()}.

type_preop_prec('+') -> {600,700};
type_preop_prec('-') -> {600,700};
type_preop_prec('bnot') -> {600,700};
type_preop_prec('#') -> {700,800}.

-type erl_parse_tree() :: abstract_clause()
                        | abstract_expr()
                        | abstract_form()
                        | abstract_type().

-spec map_anno(Fun, Abstr) -> NewAbstr when
      Fun :: fun((Anno) -> Anno),
      Anno :: erl_anno:anno(),
      Abstr :: erl_parse_tree(),
      NewAbstr :: erl_parse_tree().

map_anno(F0, Abstr) ->
    F = fun(A, Acc) -> {F0(A), Acc} end,
    {NewAbstr, []} = modify_anno1(Abstr, [], F),
    NewAbstr.

-spec fold_anno(Fun, Acc0, Abstr) -> NewAbstr when
      Fun :: fun((Anno, AccIn) -> AccOut),
      Anno :: erl_anno:anno(),
      Acc0 :: term(),
      AccIn :: term(),
      AccOut :: term(),
      Abstr :: erl_parse_tree(),
      NewAbstr :: erl_parse_tree().

fold_anno(F0, Acc0, Abstr) ->
    F = fun(A, Acc) -> {A, F0(A, Acc)} end,
    {_, NewAcc} = modify_anno1(Abstr, Acc0, F),
    NewAcc.

-spec mapfold_anno(Fun, Acc0, Abstr) -> {NewAbstr, Acc1} when
      Fun :: fun((Anno, AccIn) -> {Anno, AccOut}),
      Anno :: erl_anno:anno(),
      Acc0 :: term(),
      Acc1 :: term(),
      AccIn :: term(),
      AccOut :: term(),
      Abstr :: erl_parse_tree(),
      NewAbstr :: erl_parse_tree().

mapfold_anno(F, Acc0, Abstr) ->
    modify_anno1(Abstr, Acc0, F).

-spec new_anno(Term) -> Abstr when
      Term :: term(),
      Abstr :: erl_parse_tree().

new_anno(Term) ->
    map_anno(fun erl_anno:new/1, Term).

-spec anno_to_term(Abstr) -> term() when
      Abstr :: erl_parse_tree().

anno_to_term(Abstract) ->
    map_anno(fun erl_anno:to_term/1, Abstract).

-spec anno_from_term(Term) -> erl_parse_tree() when
      Term :: term().

anno_from_term(Term) ->
    map_anno(fun erl_anno:from_term/1, Term).

%% Forms.
%% Recognize what sys_pre_expand does:
modify_anno1({'fun',A,F,{_,_,_}=Id}, Ac, Mf) ->
    {A1,Ac1} = Mf(A, Ac),
    {F1,Ac2} = modify_anno1(F, Ac1, Mf),
    {{'fun',A1,F1,Id},Ac2};
modify_anno1({named_fun,A,N,F,{_,_,_}=Id}, Ac, Mf) ->
    {A1,Ac1} = Mf(A, Ac),
    {F1,Ac2} = modify_anno1(F, Ac1, Mf),
    {{named_fun,A1,N,F1,Id},Ac2};
modify_anno1({attribute,A,N,[V]}, Ac, Mf) ->
    {{attribute,A1,N1,V1},Ac1} = modify_anno1({attribute,A,N,V}, Ac, Mf),
    {{attribute,A1,N1,[V1]},Ac1};
%% End of sys_pre_expand special forms.
modify_anno1({function,F,A}, Ac, _Mf) ->
    {{function,F,A},Ac};
modify_anno1({function,M,F,A}, Ac, Mf) ->
    {M1,Ac1} = modify_anno1(M, Ac, Mf),
    {F1,Ac2} = modify_anno1(F, Ac1, Mf),
    {A1,Ac3} = modify_anno1(A, Ac2, Mf),
    {{function,M1,F1,A1},Ac3};
modify_anno1({attribute,A,record,{Name,Fields}}, Ac, Mf) ->
    {A1,Ac1} = Mf(A, Ac),
    {Fields1,Ac2} = modify_anno1(Fields, Ac1, Mf),
    {{attribute,A1,record,{Name,Fields1}},Ac2};
modify_anno1({attribute,A,spec,{Fun,Types}}, Ac, Mf) ->
    {A1,Ac1} = Mf(A, Ac),
    {Types1,Ac2} = modify_anno1(Types, Ac1, Mf),
    {{attribute,A1,spec,{Fun,Types1}},Ac2};
modify_anno1({attribute,A,callback,{Fun,Types}}, Ac, Mf) ->
    {A1,Ac1} = Mf(A, Ac),
    {Types1,Ac2} = modify_anno1(Types, Ac1, Mf),
    {{attribute,A1,callback,{Fun,Types1}},Ac2};
modify_anno1({attribute,A,type,{TypeName,TypeDef,Args}}, Ac, Mf) ->
    {A1,Ac1} = Mf(A, Ac),
    {TypeDef1,Ac2} = modify_anno1(TypeDef, Ac1, Mf),
    {Args1,Ac3} = modify_anno1(Args, Ac2, Mf),
    {{attribute,A1,type,{TypeName,TypeDef1,Args1}},Ac3};
modify_anno1({attribute,A,opaque,{TypeName,TypeDef,Args}}, Ac, Mf) ->
    {A1,Ac1} = Mf(A, Ac),
    {TypeDef1,Ac2} = modify_anno1(TypeDef, Ac1, Mf),
    {Args1,Ac3} = modify_anno1(Args, Ac2, Mf),
    {{attribute,A1,opaque,{TypeName,TypeDef1,Args1}},Ac3};
modify_anno1({attribute,A,Attr,Val}, Ac, Mf) ->
    {A1,Ac1} = Mf(A, Ac),
    {{attribute,A1,Attr,Val},Ac1};
modify_anno1({warning,W}, Ac, _Mf) ->
    {{warning,W},Ac};
modify_anno1({error,W}, Ac, _Mf) ->
    {{error,W},Ac};
%% Expressions.
modify_anno1({clauses,Cs}, Ac, Mf) ->
    {Cs1,Ac1} = modify_anno1(Cs, Ac, Mf),
    {{clauses,Cs1},Ac1};
modify_anno1({typed_record_field,Field,Type}, Ac, Mf) ->
    {Field1,Ac1} = modify_anno1(Field, Ac, Mf),
    {Type1,Ac2} = modify_anno1(Type, Ac1, Mf),
    {{typed_record_field,Field1,Type1},Ac2};
modify_anno1({Tag,A}, Ac, Mf) ->
    {A1,Ac1} = Mf(A, Ac),
    {{Tag,A1},Ac1};
modify_anno1({Tag,A,E1}, Ac, Mf) ->
    {A1,Ac1} = Mf(A, Ac),
    {E11,Ac2} = modify_anno1(E1, Ac1, Mf),
    {{Tag,A1,E11},Ac2};
modify_anno1({Tag,A,E1,E2}, Ac, Mf) ->
    {A1,Ac1} = Mf(A, Ac),
    {E11,Ac2} = modify_anno1(E1, Ac1, Mf),
    {E21,Ac3} = modify_anno1(E2, Ac2, Mf),
    {{Tag,A1,E11,E21},Ac3};
modify_anno1({bin_element,A,E1,E2,TSL}, Ac, Mf) ->
    {A1,Ac1} = Mf(A, Ac),
    {E11,Ac2} = modify_anno1(E1, Ac1, Mf),
    {E21,Ac3} = modify_anno1(E2, Ac2, Mf),
    {{bin_element,A1,E11,E21, TSL},Ac3};
modify_anno1({Tag,A,E1,E2,E3}, Ac, Mf) ->
    {A1,Ac1} = Mf(A, Ac),
    {E11,Ac2} = modify_anno1(E1, Ac1, Mf),
    {E21,Ac3} = modify_anno1(E2, Ac2, Mf),
    {E31,Ac4} = modify_anno1(E3, Ac3, Mf),
    {{Tag,A1,E11,E21,E31},Ac4};
modify_anno1({Tag,A,E1,E2,E3,E4}, Ac, Mf) ->
    {A1,Ac1} = Mf(A, Ac),
    {E11,Ac2} = modify_anno1(E1, Ac1, Mf),
    {E21,Ac3} = modify_anno1(E2, Ac2, Mf),
    {E31,Ac4} = modify_anno1(E3, Ac3, Mf),
    {E41,Ac5} = modify_anno1(E4, Ac4, Mf),
    {{Tag,A1,E11,E21,E31,E41},Ac5};
modify_anno1([H|T], Ac, Mf) ->
    {H1,Ac1} = modify_anno1(H, Ac, Mf),
    {T1,Ac2} = modify_anno1(T, Ac1, Mf),
    {[H1|T1],Ac2};
modify_anno1([], Ac, _Mf) -> {[],Ac};
modify_anno1(E, Ac, _Mf) when not is_tuple(E), not is_list(E) -> {E,Ac}.

%% vim: ft=erlang