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usr
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lib64
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erlang
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lib
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stdlib-3.17.2
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src
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%% %% %CopyrightBegin% %% %% Copyright Ericsson AB 1996-2021. 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(io_lib_format). %% Formatting functions of io library. -export([fwrite/2,fwrite/3,fwrite_g/1,indentation/2,scan/2,unscan/1, build/1, build/2]). %% Format the arguments in Args after string Format. Just generate %% an error if there is an error in the arguments. %% %% To do the printing command correctly we need to calculate the %% current indentation for everything before it. This may be very %% expensive, especially when it is not needed, so we first determine %% if, and for how long, we need to calculate the indentations. We do %% this by first collecting all the control sequences and %% corresponding arguments, then counting the print sequences and %% then building the output. This method has some drawbacks, it does %% two passes over the format string and creates more temporary data, %% and it also splits the handling of the control characters into two %% parts. -spec fwrite(Format, Data) -> io_lib:chars() when Format :: io:format(), Data :: [term()]. fwrite(Format, Args) -> build(scan(Format, Args)). -spec fwrite(Format, Data, Options) -> io_lib:chars() when Format :: io:format(), Data :: [term()], Options :: [Option], Option :: {'chars_limit', CharsLimit}, CharsLimit :: io_lib:chars_limit(). fwrite(Format, Args, Options) -> build(scan(Format, Args), Options). %% Build the output text for a pre-parsed format list. -spec build(FormatList) -> io_lib:chars() when FormatList :: [char() | io_lib:format_spec()]. build(Cs) -> build(Cs, []). -spec build(FormatList, Options) -> io_lib:chars() when FormatList :: [char() | io_lib:format_spec()], Options :: [Option], Option :: {'chars_limit', CharsLimit}, CharsLimit :: io_lib:chars_limit(). build(Cs, Options) -> CharsLimit = get_option(chars_limit, Options, -1), Res1 = build_small(Cs), {P, S, W, Other} = count_small(Res1), case P + S + W of 0 -> Res1; NumOfLimited -> RemainingChars = sub(CharsLimit, Other), build_limited(Res1, P, NumOfLimited, RemainingChars, 0) end. %% Parse all control sequences in the format string. -spec scan(Format, Data) -> FormatList when Format :: io:format(), Data :: [term()], FormatList :: [char() | io_lib:format_spec()]. scan(Format, Args) when is_atom(Format) -> scan(atom_to_list(Format), Args); scan(Format, Args) when is_binary(Format) -> scan(binary_to_list(Format), Args); scan(Format, Args) -> collect(Format, Args). %% Revert a pre-parsed format list to a plain character list and a %% list of arguments. -spec unscan(FormatList) -> {Format, Data} when FormatList :: [char() | io_lib:format_spec()], Format :: io:format(), Data :: [term()]. unscan(Cs) -> {print(Cs), args(Cs)}. args([#{args := As} | Cs]) -> As ++ args(Cs); args([_C | Cs]) -> args(Cs); args([]) -> []. print([#{control_char := C, width := F, adjust := Ad, precision := P, pad_char := Pad, encoding := Encoding, strings := Strings} | Cs]) -> print(C, F, Ad, P, Pad, Encoding, Strings) ++ print(Cs); print([C | Cs]) -> [C | print(Cs)]; print([]) -> []. print(C, F, Ad, P, Pad, Encoding, Strings) -> [$~] ++ print_field_width(F, Ad) ++ print_precision(P, Pad) ++ print_pad_char(Pad) ++ print_encoding(Encoding) ++ print_strings(Strings) ++ [C]. print_field_width(none, _Ad) -> ""; print_field_width(F, left) -> integer_to_list(-F); print_field_width(F, right) -> integer_to_list(F). print_precision(none, $\s) -> ""; print_precision(none, _Pad) -> "."; % pad must be second dot print_precision(P, _Pad) -> [$. | integer_to_list(P)]. print_pad_char($\s) -> ""; % default, no need to make explicit print_pad_char(Pad) -> [$., Pad]. print_encoding(unicode) -> "t"; print_encoding(latin1) -> "". print_strings(false) -> "l"; print_strings(true) -> "". collect([$~|Fmt0], Args0) -> {C,Fmt1,Args1} = collect_cseq(Fmt0, Args0), [C|collect(Fmt1, Args1)]; collect([C|Fmt], Args) -> [C|collect(Fmt, Args)]; collect([], []) -> []. collect_cseq(Fmt0, Args0) -> {F,Ad,Fmt1,Args1} = field_width(Fmt0, Args0), {P,Fmt2,Args2} = precision(Fmt1, Args1), {Pad,Fmt3,Args3} = pad_char(Fmt2, Args2), Spec0 = #{width => F, adjust => Ad, precision => P, pad_char => Pad, encoding => latin1, strings => true}, {Spec1,Fmt4} = modifiers(Fmt3, Spec0), {C,As,Fmt5,Args4} = collect_cc(Fmt4, Args3), Spec2 = Spec1#{control_char => C, args => As}, {Spec2,Fmt5,Args4}. modifiers([$t|Fmt], Spec) -> modifiers(Fmt, Spec#{encoding => unicode}); modifiers([$l|Fmt], Spec) -> modifiers(Fmt, Spec#{strings => false}); modifiers(Fmt, Spec) -> {Spec, Fmt}. field_width([$-|Fmt0], Args0) -> {F,Fmt,Args} = field_value(Fmt0, Args0), field_width(-F, Fmt, Args); field_width(Fmt0, Args0) -> {F,Fmt,Args} = field_value(Fmt0, Args0), field_width(F, Fmt, Args). field_width(F, Fmt, Args) when F < 0 -> {-F,left,Fmt,Args}; field_width(F, Fmt, Args) when F >= 0 -> {F,right,Fmt,Args}. precision([$.|Fmt], Args) -> field_value(Fmt, Args); precision(Fmt, Args) -> {none,Fmt,Args}. field_value([$*|Fmt], [A|Args]) when is_integer(A) -> {A,Fmt,Args}; field_value([C|Fmt], Args) when is_integer(C), C >= $0, C =< $9 -> field_value([C|Fmt], Args, 0); field_value(Fmt, Args) -> {none,Fmt,Args}. field_value([C|Fmt], Args, F) when is_integer(C), C >= $0, C =< $9 -> field_value(Fmt, Args, 10*F + (C - $0)); field_value(Fmt, Args, F) -> %Default case {F,Fmt,Args}. pad_char([$.,$*|Fmt], [Pad|Args]) -> {Pad,Fmt,Args}; pad_char([$.,Pad|Fmt], Args) -> {Pad,Fmt,Args}; pad_char(Fmt, Args) -> {$\s,Fmt,Args}. %% collect_cc([FormatChar], [Argument]) -> %% {Control,[ControlArg],[FormatChar],[Arg]}. %% Here we collect the argments for each control character. %% Be explicit to cause failure early. collect_cc([$w|Fmt], [A|Args]) -> {$w,[A],Fmt,Args}; collect_cc([$p|Fmt], [A|Args]) -> {$p,[A],Fmt,Args}; collect_cc([$W|Fmt], [A,Depth|Args]) -> {$W,[A,Depth],Fmt,Args}; collect_cc([$P|Fmt], [A,Depth|Args]) -> {$P,[A,Depth],Fmt,Args}; collect_cc([$s|Fmt], [A|Args]) -> {$s,[A],Fmt,Args}; collect_cc([$e|Fmt], [A|Args]) -> {$e,[A],Fmt,Args}; collect_cc([$f|Fmt], [A|Args]) -> {$f,[A],Fmt,Args}; collect_cc([$g|Fmt], [A|Args]) -> {$g,[A],Fmt,Args}; collect_cc([$b|Fmt], [A|Args]) -> {$b,[A],Fmt,Args}; collect_cc([$B|Fmt], [A|Args]) -> {$B,[A],Fmt,Args}; collect_cc([$x|Fmt], [A,Prefix|Args]) -> {$x,[A,Prefix],Fmt,Args}; collect_cc([$X|Fmt], [A,Prefix|Args]) -> {$X,[A,Prefix],Fmt,Args}; collect_cc([$+|Fmt], [A|Args]) -> {$+,[A],Fmt,Args}; collect_cc([$#|Fmt], [A|Args]) -> {$#,[A],Fmt,Args}; collect_cc([$c|Fmt], [A|Args]) -> {$c,[A],Fmt,Args}; collect_cc([$~|Fmt], Args) when is_list(Args) -> {$~,[],Fmt,Args}; collect_cc([$n|Fmt], Args) when is_list(Args) -> {$n,[],Fmt,Args}; collect_cc([$i|Fmt], [A|Args]) -> {$i,[A],Fmt,Args}. %% count_small([ControlC]) -> Count. %% Count the number of big (pPwWsS) print requests and %% number of characters of other print (small) requests. count_small(Cs) -> count_small(Cs, #{p => 0, s => 0, w => 0, other => 0}). count_small([#{control_char := $p}|Cs], #{p := P} = Cnts) -> count_small(Cs, Cnts#{p := P + 1}); count_small([#{control_char := $P}|Cs], #{p := P} = Cnts) -> count_small(Cs, Cnts#{p := P + 1}); count_small([#{control_char := $w}|Cs], #{w := W} = Cnts) -> count_small(Cs, Cnts#{w := W + 1}); count_small([#{control_char := $W}|Cs], #{w := W} = Cnts) -> count_small(Cs, Cnts#{w := W + 1}); count_small([#{control_char := $s}|Cs], #{w := W} = Cnts) -> count_small(Cs, Cnts#{w := W + 1}); count_small([S|Cs], #{other := Other} = Cnts) when is_list(S); is_binary(S) -> count_small(Cs, Cnts#{other := Other + io_lib:chars_length(S)}); count_small([C|Cs], #{other := Other} = Cnts) when is_integer(C) -> count_small(Cs, Cnts#{other := Other + 1}); count_small([], #{p := P, s := S, w := W, other := Other}) -> {P, S, W, Other}. %% build_small([Control]) -> io_lib:chars(). %% Interpret the control structures, but only the small ones. %% The big ones are saved for later. %% build_limited([Control], NumberOfPps, NumberOfLimited, %% CharsLimit, Indentation) %% Interpret the control structures. Count the number of print %% remaining and only calculate indentation when necessary. Must also %% be smart when calculating indentation for characters in format. build_small([#{control_char := C, args := As, width := F, adjust := Ad, precision := P, pad_char := Pad, encoding := Enc}=CC | Cs]) -> case control_small(C, As, F, Ad, P, Pad, Enc) of not_small -> [CC | build_small(Cs)]; S -> lists:flatten(S) ++ build_small(Cs) end; build_small([C|Cs]) -> [C|build_small(Cs)]; build_small([]) -> []. build_limited([#{control_char := C, args := As, width := F, adjust := Ad, precision := P, pad_char := Pad, encoding := Enc, strings := Str} | Cs], NumOfPs0, Count0, MaxLen0, I) -> MaxChars = if MaxLen0 < 0 -> MaxLen0; true -> MaxLen0 div Count0 end, S = control_limited(C, As, F, Ad, P, Pad, Enc, Str, MaxChars, I), NumOfPs = decr_pc(C, NumOfPs0), Count = Count0 - 1, MaxLen = if MaxLen0 < 0 -> % optimization MaxLen0; true -> Len = io_lib:chars_length(S), sub(MaxLen0, Len) end, if NumOfPs > 0 -> [S|build_limited(Cs, NumOfPs, Count, MaxLen, indentation(S, I))]; true -> [S|build_limited(Cs, NumOfPs, Count, MaxLen, I)] end; build_limited([$\n|Cs], NumOfPs, Count, MaxLen, _I) -> [$\n|build_limited(Cs, NumOfPs, Count, MaxLen, 0)]; build_limited([$\t|Cs], NumOfPs, Count, MaxLen, I) -> [$\t|build_limited(Cs, NumOfPs, Count, MaxLen, ((I + 8) div 8) * 8)]; build_limited([C|Cs], NumOfPs, Count, MaxLen, I) -> [C|build_limited(Cs, NumOfPs, Count, MaxLen, I+1)]; build_limited([], _, _, _, _) -> []. decr_pc($p, Pc) -> Pc - 1; decr_pc($P, Pc) -> Pc - 1; decr_pc(_, Pc) -> Pc. %% Calculate the indentation of the end of a string given its start %% indentation. We assume tabs at 8 cols. -spec indentation(String, StartIndent) -> integer() when String :: io_lib:chars(), StartIndent :: integer(). indentation([$\n|Cs], _I) -> indentation(Cs, 0); indentation([$\t|Cs], I) -> indentation(Cs, ((I + 8) div 8) * 8); indentation([C|Cs], I) when is_integer(C) -> indentation(Cs, I+1); indentation([C|Cs], I) -> indentation(Cs, indentation(C, I)); indentation([], I) -> I. %% control_small(FormatChar, [Argument], FieldWidth, Adjust, Precision, %% PadChar, Encoding) -> String %% control_limited(FormatChar, [Argument], FieldWidth, Adjust, Precision, %% PadChar, Encoding, StringP, ChrsLim, Indentation) -> String %% These are the dispatch functions for the various formatting controls. control_small($s, [A], F, Adj, P, Pad, latin1=Enc) when is_atom(A) -> L = iolist_to_chars(atom_to_list(A)), string(L, F, Adj, P, Pad, Enc); control_small($s, [A], F, Adj, P, Pad, unicode=Enc) when is_atom(A) -> string(atom_to_list(A), F, Adj, P, Pad, Enc); control_small($e, [A], F, Adj, P, Pad, _Enc) when is_float(A) -> fwrite_e(A, F, Adj, P, Pad); control_small($f, [A], F, Adj, P, Pad, _Enc) when is_float(A) -> fwrite_f(A, F, Adj, P, Pad); control_small($g, [A], F, Adj, P, Pad, _Enc) when is_float(A) -> fwrite_g(A, F, Adj, P, Pad); control_small($b, [A], F, Adj, P, Pad, _Enc) when is_integer(A) -> unprefixed_integer(A, F, Adj, base(P), Pad, true); control_small($B, [A], F, Adj, P, Pad, _Enc) when is_integer(A) -> unprefixed_integer(A, F, Adj, base(P), Pad, false); control_small($x, [A,Prefix], F, Adj, P, Pad, _Enc) when is_integer(A), is_atom(Prefix) -> prefixed_integer(A, F, Adj, base(P), Pad, atom_to_list(Prefix), true); control_small($x, [A,Prefix], F, Adj, P, Pad, _Enc) when is_integer(A) -> true = io_lib:deep_char_list(Prefix), %Check if Prefix a character list prefixed_integer(A, F, Adj, base(P), Pad, Prefix, true); control_small($X, [A,Prefix], F, Adj, P, Pad, _Enc) when is_integer(A), is_atom(Prefix) -> prefixed_integer(A, F, Adj, base(P), Pad, atom_to_list(Prefix), false); control_small($X, [A,Prefix], F, Adj, P, Pad, _Enc) when is_integer(A) -> true = io_lib:deep_char_list(Prefix), %Check if Prefix a character list prefixed_integer(A, F, Adj, base(P), Pad, Prefix, false); control_small($+, [A], F, Adj, P, Pad, _Enc) when is_integer(A) -> Base = base(P), Prefix = [integer_to_list(Base), $#], prefixed_integer(A, F, Adj, Base, Pad, Prefix, true); control_small($#, [A], F, Adj, P, Pad, _Enc) when is_integer(A) -> Base = base(P), Prefix = [integer_to_list(Base), $#], prefixed_integer(A, F, Adj, Base, Pad, Prefix, false); control_small($c, [A], F, Adj, P, Pad, unicode) when is_integer(A) -> char(A, F, Adj, P, Pad); control_small($c, [A], F, Adj, P, Pad, _Enc) when is_integer(A) -> char(A band 255, F, Adj, P, Pad); control_small($~, [], F, Adj, P, Pad, _Enc) -> char($~, F, Adj, P, Pad); control_small($n, [], F, Adj, P, Pad, _Enc) -> newline(F, Adj, P, Pad); control_small($i, [_A], _F, _Adj, _P, _Pad, _Enc) -> []; control_small(_C, _As, _F, _Adj, _P, _Pad, _Enc) -> not_small. control_limited($s, [L0], F, Adj, P, Pad, latin1=Enc, _Str, CL, _I) -> L = iolist_to_chars(L0, F, CL), string(L, limit_field(F, CL), Adj, P, Pad, Enc); control_limited($s, [L0], F, Adj, P, Pad, unicode=Enc, _Str, CL, _I) -> L = cdata_to_chars(L0, F, CL), uniconv(string(L, limit_field(F, CL), Adj, P, Pad, Enc)); control_limited($w, [A], F, Adj, P, Pad, Enc, _Str, CL, _I) -> Chars = io_lib:write(A, [{depth, -1}, {encoding, Enc}, {chars_limit, CL}]), term(Chars, F, Adj, P, Pad); control_limited($p, [A], F, Adj, P, Pad, Enc, Str, CL, I) -> print(A, -1, F, Adj, P, Pad, Enc, Str, CL, I); control_limited($W, [A,Depth], F, Adj, P, Pad, Enc, _Str, CL, _I) when is_integer(Depth) -> Chars = io_lib:write(A, [{depth, Depth}, {encoding, Enc}, {chars_limit, CL}]), term(Chars, F, Adj, P, Pad); control_limited($P, [A,Depth], F, Adj, P, Pad, Enc, Str, CL, I) when is_integer(Depth) -> print(A, Depth, F, Adj, P, Pad, Enc, Str, CL, I). -ifdef(UNICODE_AS_BINARIES). uniconv(C) -> unicode:characters_to_binary(C,unicode). -else. uniconv(C) -> C. -endif. %% Default integer base base(none) -> 10; base(B) when is_integer(B) -> B. %% term(TermList, Field, Adjust, Precision, PadChar) %% Output the characters in a term. %% Adjust the characters within the field if length less than Max padding %% with PadChar. term(T, none, _Adj, none, _Pad) -> T; term(T, none, Adj, P, Pad) -> term(T, P, Adj, P, Pad); term(T, F, Adj, P0, Pad) -> L = io_lib:chars_length(T), P = erlang:min(L, case P0 of none -> F; _ -> min(P0, F) end), if L > P -> adjust(chars($*, P), chars(Pad, F-P), Adj); F >= P -> adjust(T, chars(Pad, F-L), Adj) end. %% print(Term, Depth, Field, Adjust, Precision, PadChar, Encoding, %% Indentation) %% Print a term. Field width sets maximum line length, Precision sets %% initial indentation. print(T, D, none, Adj, P, Pad, E, Str, ChLim, I) -> print(T, D, 80, Adj, P, Pad, E, Str, ChLim, I); print(T, D, F, Adj, none, Pad, E, Str, ChLim, I) -> print(T, D, F, Adj, I+1, Pad, E, Str, ChLim, I); print(T, D, F, right, P, _Pad, Enc, Str, ChLim, _I) -> Options = [{chars_limit, ChLim}, {column, P}, {line_length, F}, {depth, D}, {encoding, Enc}, {strings, Str}], io_lib_pretty:print(T, Options). %% fwrite_e(Float, Field, Adjust, Precision, PadChar) fwrite_e(Fl, none, Adj, none, Pad) -> %Default values fwrite_e(Fl, none, Adj, 6, Pad); fwrite_e(Fl, none, _Adj, P, _Pad) when P >= 2 -> float_e(Fl, float_data(Fl), P); fwrite_e(Fl, F, Adj, none, Pad) -> fwrite_e(Fl, F, Adj, 6, Pad); fwrite_e(Fl, F, Adj, P, Pad) when P >= 2 -> term(float_e(Fl, float_data(Fl), P), F, Adj, F, Pad). float_e(Fl, Fd, P) -> signbit(Fl) ++ abs_float_e(abs(Fl), Fd, P). abs_float_e(_Fl, {Ds,E}, P) -> case float_man(Ds, 1, P-1) of {[$0|Fs],true} -> [[$1|Fs]|float_exp(E)]; {Fs,false} -> [Fs|float_exp(E-1)] end. %% float_man([Digit], Icount, Dcount) -> {[Char],CarryFlag}. %% Generate the characters in the mantissa from the digits with Icount %% characters before the '.' and Dcount decimals. Handle carry and let %% caller decide what to do at top. float_man(Ds, 0, Dc) -> {Cs,C} = float_man(Ds, Dc), {[$.|Cs],C}; float_man([D|Ds], I, Dc) -> case float_man(Ds, I-1, Dc) of {Cs,true} when D =:= $9 -> {[$0|Cs],true}; {Cs,true} -> {[D+1|Cs],false}; {Cs,false} -> {[D|Cs],false} end; float_man([], I, Dc) -> %Pad with 0's {lists:duplicate(I, $0) ++ [$.|lists:duplicate(Dc, $0)],false}. float_man([D|_], 0) when D >= $5 -> {[],true}; float_man([_|_], 0) -> {[],false}; float_man([D|Ds], Dc) -> case float_man(Ds, Dc-1) of {Cs,true} when D =:= $9 -> {[$0|Cs],true}; {Cs,true} -> {[D+1|Cs],false}; {Cs,false} -> {[D|Cs],false} end; float_man([], Dc) -> {lists:duplicate(Dc, $0),false}. %Pad with 0's %% float_exp(Exponent) -> [Char]. %% Generate the exponent of a floating point number. Always include sign. float_exp(E) when E >= 0 -> [$e,$+|integer_to_list(E)]; float_exp(E) -> [$e|integer_to_list(E)]. %% fwrite_f(FloatData, Field, Adjust, Precision, PadChar) fwrite_f(Fl, none, Adj, none, Pad) -> %Default values fwrite_f(Fl, none, Adj, 6, Pad); fwrite_f(Fl, none, _Adj, P, _Pad) when P >= 1 -> float_f(Fl, float_data(Fl), P); fwrite_f(Fl, F, Adj, none, Pad) -> fwrite_f(Fl, F, Adj, 6, Pad); fwrite_f(Fl, F, Adj, P, Pad) when P >= 1 -> term(float_f(Fl, float_data(Fl), P), F, Adj, F, Pad). float_f(Fl, Fd, P) -> signbit(Fl) ++ abs_float_f(abs(Fl), Fd, P). abs_float_f(Fl, {Ds,E}, P) when E =< 0 -> abs_float_f(Fl, {lists:duplicate(-E+1, $0)++Ds,1}, P); %Prepend enough 0's abs_float_f(_Fl, {Ds,E}, P) -> case float_man(Ds, E, P) of {Fs,true} -> "1" ++ Fs; %Handle carry {Fs,false} -> Fs end. %% signbit(Float) -> [$-] | [] signbit(Fl) when Fl < 0.0 -> [$-]; signbit(Fl) when Fl > 0.0 -> []; signbit(Fl) -> case <<Fl/float>> of <<1:1,_:63>> -> [$-]; _ -> [] end. %% float_data([FloatChar]) -> {[Digit],Exponent} float_data(Fl) -> float_data(float_to_list(Fl), []). float_data([$e|E], Ds) -> {lists:reverse(Ds),list_to_integer(E)+1}; float_data([D|Cs], Ds) when D >= $0, D =< $9 -> float_data(Cs, [D|Ds]); float_data([_|Cs], Ds) -> float_data(Cs, Ds). %% Returns a correctly rounded string that converts to Float when %% read back with list_to_float/1. %% %% When abs(Float) < float(1 bsl 53) the shortest such string is %% returned, and otherwise the shortest such string using scientific %% notation is returned. That is, scientific notation is used if and %% only if scientific notation results in a shorter string than %% normal notation when abs(Float) < float(1 bsl 53), and scientific %% notation is used unconditionally if abs(Float) >= float(1 bsl %% 53). See comment in insert_decimal/2 for an explanation for why %% float(1 bsl 53) is chosen as cutoff point. %% %% The algorithm that is used to find the decimal number that is %% represented by the returned String is described in "Ryu: Fast %% Float-to-String Conversion" in Proceedings of 39th ACM SIGPLAN %% Conference on Programming Language Design and Implementation. %% https://dl.acm.org/doi/pdf/10.1145/3192366.3192369 -spec fwrite_g(float()) -> string(). fwrite_g(Float) -> case sign_mantissa_exponent(Float) of {0, 0, 0} -> "0.0"; {1, 0, 0} -> "-0.0"; {S, M, E} when E < 2047 -> {Place, Digits} = case is_small_int(M, E) of {int, M1, E1} -> compute_shortest_int(M1, E1); not_int -> fwrite_g_1(M, E) end, DigitList = insert_decimal(Place, Digits, Float), insert_minus(S, DigitList) end. -define(BIG_POW, (1 bsl 52)). -define(DECODE_CORRECTION, 1075). sign_mantissa_exponent(F) -> <<S:1, BE:11, M:52>> = <<F:64/float>>, {S, M , BE}. is_small_int(M, E) -> M2 = ?BIG_POW bor M, E2 = E - ?DECODE_CORRECTION, case E2 > 0 orelse E2 < -52 of true -> %% f = m2 * 2^e2 >= 2^53 is an integer. %% Ignore this case for now. %% or f < 1 not_int; _ -> %% Since 2^52 <= m2 < 2^53 and 0 <= -e2 <= 52: 1 <= f = m2 / 2^-e2 < 2^53. %% Test if the lower -e2 bits of the significand are 0, i.e. whether the fraction is 0. Mask = (1 bsl -E2) - 1, Fraction = M2 band Mask, case Fraction of 0 -> %% f is an integer in the range [1, 2^53). %% Note: mantissa might contain trailing (decimal) 0's. {int, M2 bsr -E2, 0}; _ -> not_int end end. %% For small integers in the range [1, 2^53), v.mantissa might contain trailing (decimal) zeros. compute_shortest_int(M, E) when M rem 10 =:= 0 -> Q = M div 10, compute_shortest_int(Q, E + 1); compute_shortest_int(M, E) -> {E, integer_to_list(M)}. fwrite_g_1(M, E) -> {Mf, Ef} = decode(M, E), Shift = mmshift(M, E), Mv = 4 * Mf, {Q, Vm, Vr, Vp, E10} = convert_to_decimal(Ef, Mv, Shift), Accept = M rem 2 == 0, {VmIsTrailingZero, VrIsTrailingZero, Vp1} = bounds(Mv, Q, Vp, Accept, Ef, Shift), {D1, E1} = compute_shortest(Vm, Vr, Vp1, VmIsTrailingZero, VrIsTrailingZero, Accept), {E1 + E10, integer_to_list(D1)}. decode(Mantissa, 0) -> {Mantissa, 1 - ?DECODE_CORRECTION - 2}; decode(Mantissa, Exponent) -> {Mantissa + ?BIG_POW, Exponent - ?DECODE_CORRECTION - 2}. mmshift(0, E) when E > 1 -> 0; mmshift(_M, _E) -> 1. convert_to_decimal(E2, Mv, Shift) when E2 >= 0 -> Q = max(0, ((E2 * 78913) bsr 18) - 1), Mul = io_lib_format_ryu_table:inv_value(Q), K = io_lib_format_ryu_table:pow5_inv_bitcount() + pow5bits(Q) - 1, I = -E2 + Q + K, {Vm, Vr, Vp} = mulShiftAll(Mv, Shift, I, Mul), {Q, Vm, Vr, Vp, Q}; convert_to_decimal(E2, Mv, Shift) when E2 < 0 -> Q = max(0, ((-E2 * 732923) bsr 20) - 1), I = -E2 - Q, K = pow5bits(I) - io_lib_format_ryu_table:pow5_bitcount(), From_file = io_lib_format_ryu_table:value(I), J = Q - K, {Vm, Vr, Vp} = mulShiftAll(Mv, Shift, J, From_file), E10 = E2 + Q, {Q, Vm, Vr, Vp, E10}. pow5bits(E) -> ((E * 1217359) bsr 19) + 1. mulShiftAll(Mv, Shift, J, Mul) -> A = mulShift64(Mv - 1 - Shift, Mul, J), B = mulShift64(Mv, Mul, J), C = mulShift64(Mv + 2,Mul, J), {A, B, C}. mulShift64(M, Mul, J) -> (M * Mul) bsr J. bounds(Mv, Q, Vp, _Accept, E2, _Shift) when E2 >= 0, Q =< 21, Mv rem 5 =:= 0 -> {false, multipleOfPowerOf5(Mv, Q) , Vp}; bounds(Mv, Q, Vp, true, E2, Shift) when E2 >= 0, Q =< 21 -> {multipleOfPowerOf5(Mv - 1 - Shift, Q), false , Vp}; bounds(Mv, Q, Vp, _Accept, E2, _Shift) when E2 >= 0, Q =< 21 -> {false, false , Vp - vpmodifier(multipleOfPowerOf5(Mv + 2, Q))}; bounds(_Mv, Q, Vp, true, E2, Shift) when E2 < 0, Q =< 1 -> {Shift =:= 1, true, Vp}; bounds(_Mv, Q, Vp, false, E2, _Shift) when E2 < 0, Q =< 1 -> {false, true, Vp - 1}; bounds(Mv, Q, Vp, _Accept, E2, _Shift) when E2 < 0, Q < 63 -> {false, (Mv band ((1 bsl Q) -1 )) =:= 0, Vp}; bounds(_Mv, _Q, Vp, _Accept, _E2, _Shift) -> {false, false, Vp}. multipleOfPowerOf5(Value, Q) -> pow5factor(Value) >= Q. pow5factor(Val) -> pow5factor(Val div 5, 0). pow5factor(Val, Count) when (Val rem 5) /= 0-> Count; pow5factor(Val, Count) -> pow5factor(Val div 5, Count + 1). vpmodifier(true) -> 1; vpmodifier(false) -> 0. compute_shortest(Vm, Vr, Vp, false, false, _Accept) -> {Vm1, Vr1, Removed, RoundUp} = general_case(Vm, Vr, Vp, 0, false), Output = Vr1 + handle_normal_output_mod(Vr1, Vm1, RoundUp), {Output, Removed}; compute_shortest(Vm, Vr, Vp, VmIsTrailingZero, VrIsTrailingZero, Accept) -> {Vm1, Vr1, Removed, LastRemovedDigit} = handle_trailing_zeros(Vm, Vr, Vp, VmIsTrailingZero, VrIsTrailingZero, 0, 0), Output = Vr1 + handle_zero_output_mod(Vr1, Vm1, Accept, VmIsTrailingZero, LastRemovedDigit), {Output, Removed}. general_case(Vm, Vr, Vp, Removed, RoundUp) when (Vp div 100) =< (Vm div 100)-> general_case_10(Vm, Vr, Vp, Removed, RoundUp); general_case(Vm, Vr, Vp, Removed, _RU) -> VmD100 = Vm div 100, VrD100 = Vr div 100, VpD100 = Vp div 100, RoundUp = ((Vr rem 100) >= 50), general_case_10(VmD100, VrD100, VpD100, 2 + Removed, RoundUp). general_case_10(Vm, Vr, Vp, Removed, RoundUp) when (Vp div 10) =< (Vm div 10)-> {Vm, Vr, Removed, RoundUp}; general_case_10(Vm, Vr, Vp, Removed, _RU) -> VmD10 = Vm div 10, VrD10 = Vr div 10, VpD10 = Vp div 10, RoundUp = ((Vr rem 10) >= 5), general_case_10(VmD10, VrD10, VpD10, 1 + Removed, RoundUp). handle_normal_output_mod(Vr, Vm, RoundUp) when (Vm =:= Vr) or RoundUp -> 1; handle_normal_output_mod(_Vr, _Vm, _RoundUp) -> 0. handle_trailing_zeros(Vm, Vr, Vp, VmTZ, VrTZ, Removed, LastRemovedDigit) when (Vp div 10) =< (Vm div 10)-> vmIsTrailingZero(Vm, Vr, Vp, VmTZ, VrTZ, Removed, LastRemovedDigit); handle_trailing_zeros(Vm, Vr, Vp, VmIsTrailingZero, VrIsTrailingZero, Removed, LastRemovedDigit) -> VmTZ = VmIsTrailingZero and ((Vm rem 10) =:= 0), VrTZ = VrIsTrailingZero and (LastRemovedDigit =:= 0), handle_trailing_zeros(Vm div 10, Vr div 10, Vp div 10, VmTZ, VrTZ, 1 + Removed, Vr rem 10). vmIsTrailingZero(Vm, Vr, _Vp, false = _VmTZ, VrTZ, Removed, LastRemovedDigit) -> handle_50_dotdot_0(Vm, Vr, VrTZ, Removed, LastRemovedDigit); vmIsTrailingZero(Vm, Vr, _Vp, _VmTZ, VrTZ, Removed, LastRemovedDigit) when (Vm rem 10) /= 0 -> handle_50_dotdot_0(Vm, Vr, VrTZ, Removed, LastRemovedDigit); vmIsTrailingZero(Vm, Vr, Vp, VmTZ, VrTZ, Removed, LastRemovedDigit) -> vmIsTrailingZero(Vm div 10, Vr div 10, Vp div 10, VmTZ, LastRemovedDigit == 0 andalso VrTZ, 1 + Removed, Vr rem 10). handle_50_dotdot_0(Vm, Vr, true, Removed, 5) when (Vr rem 2) =:= 0 -> {Vm, Vr, Removed, 4}; handle_50_dotdot_0(Vm, Vr, _VrTZ, Removed, LastRemovedDigit) -> {Vm, Vr, Removed, LastRemovedDigit}. handle_zero_output_mod(_Vr, _Vm, _Accept, _VmTZ, LastRemovedDigit) when LastRemovedDigit >= 5 -> 1; handle_zero_output_mod(Vr, Vm, Accept, VmTZ, _LastRemovedDigit) when Vr =:= Vm, ((not Accept) or (not VmTZ)) -> 1; handle_zero_output_mod(_Vr, _Vm, _Accept, _VmTZ, _LastRemovedDigit) -> 0. insert_decimal(Place, S, Float) -> L = length(S), Exp = Place + L - 1, ExpL = integer_to_list(Exp), ExpCost = length(ExpL) + 2, if Place < 0 -> if Exp >= 0 -> {S0, S1} = lists:split(L + Place, S), S0 ++ "." ++ S1; 2 - Place - L =< ExpCost -> "0." ++ lists:duplicate(-Place - L, $0) ++ S; true -> insert_exp(ExpL, S) end; true -> Dot = if L =:= 1 -> 1; true -> 0 end, if %% All integers in the range [-2^53, 2^53] can %% be stored without loss of precision in an %% IEEE 754 64-bit double but 2^53+1 cannot be %% stored in an IEEE 754 64-bit double without %% loss of precision (float((1 bsl 53)+1) =:= %% float(1 bsl 53)). It thus makes sense to %% show floats that are >= 2^53 or <= -2^53 in %% scientific notation to indicate that the %% number is so large that there could be loss %% in precion when adding or subtracting 1. %% %% https://stackoverflow.com/questions/1848700/biggest-integer-that-can-be-stored-in-a-double?answertab=votes#tab-top ExpCost + Dot >= Place + 2 andalso abs(Float) < float(1 bsl 53) -> S ++ lists:duplicate(Place, $0) ++ ".0"; true -> insert_exp(ExpL, S) end end. insert_exp(ExpL, [C]) -> [C] ++ ".0e" ++ ExpL; insert_exp(ExpL, [C | S]) -> [C] ++ "." ++ S ++ "e" ++ ExpL. insert_minus(0, Digits) -> Digits; insert_minus(1, Digits) -> [$-] ++ Digits. %% fwrite_g(Float, Field, Adjust, Precision, PadChar) %% Use the f form if Float is >= 0.1 and < 1.0e4, %% and the prints correctly in the f form, else the e form. %% Precision always means the # of significant digits. fwrite_g(Fl, F, Adj, none, Pad) -> fwrite_g(Fl, F, Adj, 6, Pad); fwrite_g(Fl, F, Adj, P, Pad) when P >= 1 -> A = abs(Fl), E = if A < 1.0e-1 -> -2; A < 1.0e0 -> -1; A < 1.0e1 -> 0; A < 1.0e2 -> 1; A < 1.0e3 -> 2; A < 1.0e4 -> 3; true -> fwrite_f end, if P =< 1, E =:= -1; P-1 > E, E >= -1 -> fwrite_f(Fl, F, Adj, P-1-E, Pad); P =< 1 -> fwrite_e(Fl, F, Adj, 2, Pad); true -> fwrite_e(Fl, F, Adj, P, Pad) end. iolist_to_chars(Cs, F, CharsLimit) when CharsLimit < 0; CharsLimit >= F -> iolist_to_chars(Cs); iolist_to_chars(Cs, _, CharsLimit) -> limit_iolist_to_chars(Cs, sub(CharsLimit, 3), [], normal). % three dots iolist_to_chars([C|Cs]) when is_integer(C), C >= $\000, C =< $\377 -> [C | iolist_to_chars(Cs)]; iolist_to_chars([I|Cs]) -> [iolist_to_chars(I) | iolist_to_chars(Cs)]; iolist_to_chars([]) -> []; iolist_to_chars(B) when is_binary(B) -> binary_to_list(B). limit_iolist_to_chars(Cs, 0, S, normal) -> L = limit_iolist_to_chars(Cs, 4, S, final), case iolist_size(L) of N when N < 4 -> L; 4 -> "..." end; limit_iolist_to_chars(_Cs, 0, _S, final) -> []; limit_iolist_to_chars([C|Cs], Limit, S, Mode) when C >= $\000, C =< $\377 -> [C | limit_iolist_to_chars(Cs, Limit - 1, S, Mode)]; limit_iolist_to_chars([I|Cs], Limit, S, Mode) -> limit_iolist_to_chars(I, Limit, [Cs|S], Mode); limit_iolist_to_chars([], _Limit, [], _Mode) -> []; limit_iolist_to_chars([], Limit, [Cs|S], Mode) -> limit_iolist_to_chars(Cs, Limit, S, Mode); limit_iolist_to_chars(B, Limit, S, Mode) when is_binary(B) -> case byte_size(B) of Sz when Sz > Limit -> {B1, B2} = split_binary(B, Limit), [binary_to_list(B1) | limit_iolist_to_chars(B2, 0, S, Mode)]; Sz -> [binary_to_list(B) | limit_iolist_to_chars([], Limit-Sz, S, Mode)] end. cdata_to_chars(Cs, F, CharsLimit) when CharsLimit < 0; CharsLimit >= F -> cdata_to_chars(Cs); cdata_to_chars(Cs, _, CharsLimit) -> limit_cdata_to_chars(Cs, sub(CharsLimit, 3), normal). % three dots cdata_to_chars([C|Cs]) when is_integer(C), C >= $\000 -> [C | cdata_to_chars(Cs)]; cdata_to_chars([I|Cs]) -> [cdata_to_chars(I) | cdata_to_chars(Cs)]; cdata_to_chars([]) -> []; cdata_to_chars(B) when is_binary(B) -> case catch unicode:characters_to_list(B) of L when is_list(L) -> L; _ -> binary_to_list(B) end. limit_cdata_to_chars(Cs, 0, normal) -> L = limit_cdata_to_chars(Cs, 4, final), case string:length(L) of N when N < 4 -> L; 4 -> "..." end; limit_cdata_to_chars(_Cs, 0, final) -> []; limit_cdata_to_chars(Cs, Limit, Mode) -> case string:next_grapheme(Cs) of {error, <<C,Cs1/binary>>} -> %% This is how ~ts handles Latin1 binaries with option %% chars_limit. [C | limit_cdata_to_chars(Cs1, Limit - 1, Mode)]; {error, [C|Cs1]} -> % not all versions of module string return this [C | limit_cdata_to_chars(Cs1, Limit - 1, Mode)]; [] -> []; [GC|Cs1] -> [GC | limit_cdata_to_chars(Cs1, Limit - 1, Mode)] end. limit_field(F, CharsLimit) when CharsLimit < 0; F =:= none -> F; limit_field(F, CharsLimit) -> max(3, min(F, CharsLimit)). %% string(String, Field, Adjust, Precision, PadChar) string(S, none, _Adj, none, _Pad, _Enc) -> S; string(S, F, Adj, none, Pad, Enc) -> string_field(S, F, Adj, io_lib:chars_length(S), Pad, Enc); string(S, none, _Adj, P, Pad, Enc) -> string_field(S, P, left, io_lib:chars_length(S), Pad, Enc); string(S, F, Adj, P, Pad, Enc) when F >= P -> N = io_lib:chars_length(S), if F > P -> if N > P -> adjust(flat_trunc(S, P, Enc), chars(Pad, F-P), Adj); N < P -> adjust([S|chars(Pad, P-N)], chars(Pad, F-P), Adj); true -> % N == P adjust(S, chars(Pad, F-P), Adj) end; true -> % F == P string_field(S, F, Adj, N, Pad, Enc) end. string_field(S, F, _Adj, N, _Pad, Enc) when N > F -> flat_trunc(S, F, Enc); string_field(S, F, Adj, N, Pad, _Enc) when N < F -> adjust(S, chars(Pad, F-N), Adj); string_field(S, _, _, _, _, _) -> % N == F S. %% unprefixed_integer(Int, Field, Adjust, Base, PadChar, Lowercase) %% -> [Char]. unprefixed_integer(Int, F, Adj, Base, Pad, Lowercase) when Base >= 2, Base =< 1+$Z-$A+10 -> if Int < 0 -> S = cond_lowercase(erlang:integer_to_list(-Int, Base), Lowercase), term([$-|S], F, Adj, none, Pad); true -> S = cond_lowercase(erlang:integer_to_list(Int, Base), Lowercase), term(S, F, Adj, none, Pad) end. %% prefixed_integer(Int, Field, Adjust, Base, PadChar, Prefix, Lowercase) %% -> [Char]. prefixed_integer(Int, F, Adj, Base, Pad, Prefix, Lowercase) when Base >= 2, Base =< 1+$Z-$A+10 -> if Int < 0 -> S = cond_lowercase(erlang:integer_to_list(-Int, Base), Lowercase), term([$-,Prefix|S], F, Adj, none, Pad); true -> S = cond_lowercase(erlang:integer_to_list(Int, Base), Lowercase), term([Prefix|S], F, Adj, none, Pad) end. %% char(Char, Field, Adjust, Precision, PadChar) -> chars(). char(C, none, _Adj, none, _Pad) -> [C]; char(C, F, _Adj, none, _Pad) -> chars(C, F); char(C, none, _Adj, P, _Pad) -> chars(C, P); char(C, F, Adj, P, Pad) when F >= P -> adjust(chars(C, P), chars(Pad, F - P), Adj). %% newline(Field, Adjust, Precision, PadChar) -> [Char]. newline(none, _Adj, _P, _Pad) -> "\n"; newline(F, right, _P, _Pad) -> chars($\n, F). %% %% Utilities %% adjust(Data, [], _) -> Data; adjust(Data, Pad, left) -> [Data|Pad]; adjust(Data, Pad, right) -> [Pad|Data]. %% Flatten and truncate a deep list to at most N elements. flat_trunc(List, N, latin1) when is_integer(N), N >= 0 -> {S, _} = lists:split(N, lists:flatten(List)), S; flat_trunc(List, N, unicode) when is_integer(N), N >= 0 -> string:slice(List, 0, N). %% A deep version of lists:duplicate/2 chars(_C, 0) -> []; chars(C, 1) -> [C]; chars(C, 2) -> [C,C]; chars(C, 3) -> [C,C,C]; chars(C, N) when is_integer(N), (N band 1) =:= 0 -> S = chars(C, N bsr 1), [S|S]; chars(C, N) when is_integer(N) -> S = chars(C, N bsr 1), [C,S|S]. %chars(C, N, Tail) -> % [chars(C, N)|Tail]. %% Lowercase conversion cond_lowercase(String, true) -> lowercase(String); cond_lowercase(String,false) -> String. lowercase([H|T]) when is_integer(H), H >= $A, H =< $Z -> [(H-$A+$a)|lowercase(T)]; lowercase([H|T]) -> [H|lowercase(T)]; lowercase([]) -> []. %% Make sure T does change sign. sub(T, _) when T < 0 -> T; sub(T, E) when T >= E -> T - E; sub(_, _) -> 0. get_option(Key, TupleList, Default) -> case lists:keyfind(Key, 1, TupleList) of false -> Default; {Key, Value} -> Value; _ -> Default end.
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