From 1e1f005760c6c621187ac360a6e4a5805bd1e1c6 Mon Sep 17 00:00:00 2001 From: alisdair sullivan Date: Mon, 20 Sep 2010 19:11:31 -0700 Subject: [PATCH] added nicefloats as dependency --- deps/nicefloats/LICENSE | 21 +++ deps/nicefloats/README.markdown | 29 ++++ deps/nicefloats/doc/overview.edoc | 33 +++++ deps/nicefloats/ebin/nicefloats.app | 14 ++ deps/nicefloats/makefile | 8 ++ deps/nicefloats/rebar | Bin 0 -> 175781 bytes deps/nicefloats/rebar.config | 2 + deps/nicefloats/src/nicefloats.erl | 209 ++++++++++++++++++++++++++++ 8 files changed, 316 insertions(+) create mode 100644 deps/nicefloats/LICENSE create mode 100644 deps/nicefloats/README.markdown create mode 100644 deps/nicefloats/doc/overview.edoc create mode 100644 deps/nicefloats/ebin/nicefloats.app create mode 100644 deps/nicefloats/makefile create mode 100755 deps/nicefloats/rebar create mode 100644 deps/nicefloats/rebar.config create mode 100644 deps/nicefloats/src/nicefloats.erl diff --git a/deps/nicefloats/LICENSE b/deps/nicefloats/LICENSE new file mode 100644 index 0000000..862287b --- /dev/null +++ b/deps/nicefloats/LICENSE @@ -0,0 +1,21 @@ +%% The MIT License + +%% Copyright (c) 2010 Alisdair Sullivan + +%% Permission is hereby granted, free of charge, to any person obtaining a copy +%% of this software and associated documentation files (the "Software"), to deal +%% in the Software without restriction, including without limitation the rights +%% to use, copy, modify, merge, publish, distribute, sublicense, and/or sell +%% copies of the Software, and to permit persons to whom the Software is +%% furnished to do so, subject to the following conditions: + +%% The above copyright notice and this permission notice shall be included in +%% all copies or substantial portions of the Software. + +%% THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR +%% IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, +%% FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE +%% AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER +%% LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, +%% OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN +%% THE SOFTWARE. \ No newline at end of file diff --git a/deps/nicefloats/README.markdown b/deps/nicefloats/README.markdown new file mode 100644 index 0000000..78d5b7c --- /dev/null +++ b/deps/nicefloats/README.markdown @@ -0,0 +1,29 @@ +nicefloats +========== + +an erlang implementation of nice decimal representations of floating point numbers, based on "Printing FLoating-Point Numbers Quickly and Accurately" by Burger & Dybvig + + +### usage ### + +`nicefloats:format(Float)` + + +### installation ### + +`make` or `./rebar compile` to build nicefloats + +`make test` or `./rebar eunit` to run tests + + +### notes ### + +this project was originally a part of [jsx][1], and remnants of that projects history may linger. try to ignore it. + + + + + + + +[1]: http://www.github.com/talentdeficit/jsx/ diff --git a/deps/nicefloats/doc/overview.edoc b/deps/nicefloats/doc/overview.edoc new file mode 100644 index 0000000..a15de3e --- /dev/null +++ b/deps/nicefloats/doc/overview.edoc @@ -0,0 +1,33 @@ +@author Alisdair Sullivan +@copyright 2010 Alisdair Sullivan +@version really, really beta +@title nicefloats +@doc nicefloats is an implementation of the algorithms for pretty printing floating point numbers detailed in "Printing FLoating-Point Numbers Quickly and Accurately" by Burger & Dybvig + + +== contents == + +
    +
  1. {@section introduction}
  2. +
  3. {@section features}
  4. +
  5. {@section usage}
  6. +
  7. {@section contributing}
  8. +
+ + +== introduction == + +nicefloats quickly and accurately outputs decimal representations of floating point numbers that, when read back (with `erlang:list_to_float/1' or similar), result in the same floating point value + + +== features == + +nicefloats currently only outputs the shortest possible representation of floating point numbers in base 10. + +== usage == + +`nicefloats:format(Float).' + +== contributing == + +nicefloats is available on github. users are encouraged to fork, edit and make pull requests \ No newline at end of file diff --git a/deps/nicefloats/ebin/nicefloats.app b/deps/nicefloats/ebin/nicefloats.app new file mode 100644 index 0000000..a05a489 --- /dev/null +++ b/deps/nicefloats/ebin/nicefloats.app @@ -0,0 +1,14 @@ +{application, nicefloats, +[ + {description, "'nice' decimal representations of floating point numbers"}, + {vsn, "0.9"}, + {modules, [ + nicefloats + ]}, + {registered, []}, + {applications, [ + kernel, + stdlib + ]}, + {env, []} +]}. diff --git 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z4spPaG=N!vW#J!2#OJ>ZBw!Lt7aJSrqxE5Yl(V=1%yH>}KKq9#{^}kJ2<;p(LIR(R zm2m;<&`-eU_S=q_lA6)E+9i}J^8-rbtguyiX9gYDWW3fTl#Wom_P{84!J@aDIuuEky zw1)pn!xW+XDV)KkVHdGrXtx6Yk8T*+Vaj0_o?vj)L5Jh^%22SC!!Gu~(B_V!{VDyx zrePO3U}*Behv@dFHOe79CqL>|{5F#2k8vV*jST zv2oaGY7DOA2plG9jm^W(J!5!$VTY*qJF>7lcK-{bV-vCSyBH!<_)$bmwila-oteWB zOCygW?kc)FrDOB369yO_Jmx6g{`3Jh6+14Dp^n5JN&Ouq$EIP&crY~6y?aun}R*acfX><|J5mzH`6?oU7gn`DUf@{1wyJv@ShX(s{jAPxeF0DrZ>^F{?A H1Ooj(#3iyv literal 0 HcmV?d00001 diff --git a/deps/nicefloats/rebar.config b/deps/nicefloats/rebar.config new file mode 100644 index 0000000..fb9bc83 --- /dev/null +++ b/deps/nicefloats/rebar.config @@ -0,0 +1,2 @@ +%% uncomment to get verbose output from test suite +%% {eunit_opts, [verbose]}. diff --git a/deps/nicefloats/src/nicefloats.erl b/deps/nicefloats/src/nicefloats.erl new file mode 100644 index 0000000..24452c6 --- /dev/null +++ b/deps/nicefloats/src/nicefloats.erl @@ -0,0 +1,209 @@ +%% The MIT License + +%% Copyright (c) 2010 Alisdair Sullivan + +%% Permission is hereby granted, free of charge, to any person obtaining a copy +%% of this software and associated documentation files (the "Software"), to deal +%% in the Software without restriction, including without limitation the rights +%% to use, copy, modify, merge, publish, distribute, sublicense, and/or sell +%% copies of the Software, and to permit persons to whom the Software is +%% furnished to do so, subject to the following conditions: + +%% The above copyright notice and this permission notice shall be included in +%% all copies or substantial portions of the Software. + +%% THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR +%% IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, +%% FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE +%% AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER +%% LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, +%% OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN +%% THE SOFTWARE. + + +%% conversion of floats to 'nice' decimal output. erlang's float implementation +%% is almost but not quite ieee 754. it converts negative zero to plain zero +%% silently, and throws exceptions for any operations that would produce NaN +%% or infinity. as far as I can tell that is. trying to match against NaN or +%% infinity binary patterns produces nomatch exceptions, and arithmetic +%% operations produce badarg exceptions. with that in mind, this function +%% makes no attempt to handle special values (except for zero) + + +-module(nicefloats). + +-export([format/1]). + + +-ifdef(TEST). +-include_lib("eunit/include/eunit.hrl"). +-endif. + + +-spec format(Float::float()) -> string(). + +format(Float) when is_float(Float) -> + nice_decimal(Float). + + +%% algorithm from "Printing FLoating-Point Numbers Quickly and Accurately" by +%% Burger & Dybvig +nice_decimal(0.0) -> "0.0"; +nice_decimal(Num) -> + {F, E} = extract(<>), + {R, S, MP, MM} = initial_vals(F, E), + K = ceiling(math:log10(abs(Num)) - 1.0e-10), + Round = F band 1 =:= 0, + {Dpoint, Digits} = scale(R, S, MP, MM, K, Round), + if Num >= 0 -> format(Dpoint, Digits) + ; Num < 0 -> "-" ++ format(Dpoint, Digits) + end. + + +extract(<<_:1, 0:11, Frac:52>>) -> {Frac, -1074}; +extract(<<_:1, Exp:11, Frac:52>>) -> {Frac + (1 bsl 52), Exp - 1075}. + + +ceiling(X) -> + Y = trunc(X), + case X - Y of + Z when Z > 0 -> Y + 1 + ; _ -> Y + end. + + +initial_vals(F, E) when E >= 0, F /= 1 bsl 52 -> + BE = 1 bsl E, + {F * BE * 2, 2, BE, BE}; +initial_vals(F, E) when E >= 0 -> + BE = 1 bsl E, + {F * BE * 4, 4, BE * 2, BE}; +initial_vals(F, E) when E == -1074; F /= 1 bsl 52 -> + {F * 2, 1 bsl (-E + 1), 1, 1}; +initial_vals(F, E) -> + {F * 4, 1 bsl (-E + 2), 2, 1}. + + +scale(R, S, MP, MM, K, Round) -> + case K >= 0 of + true -> fixup(R, S * pow(10, K), MP, MM, K, Round) + ; false -> + Scale = pow(10, -1 * K), + fixup(R * Scale, S, MP * Scale, MM * Scale, K, Round) + end. + + +fixup(R, S, MP, MM, K, true) -> + case (R + MP >= S) of + true -> {K + 1, generate(R, S, MP, MM, true)} + ; false -> {K, generate(R * 10, S, MP * 10, MM * 10, true)} + end; +fixup(R, S, MP, MM, K, false) -> + case (R + MP > S) of + true -> {K + 1, generate(R, S, MP, MM, true)} + ; false -> {K, generate(R * 10, S, MP * 10, MM * 10, true)} + end. + + +generate(RT, S, MP, MM, Round) -> + D = RT div S, + R = RT rem S, + TC1 = case Round of true -> (R =< MM); false -> (R < MM) end, + TC2 = case Round of true -> (R + MP >= S); false -> (R + MP > S) end, + case TC1 of + false -> case TC2 of + false -> [D | generate(R * 10, S, MP * 10, MM * 10, Round)] + ; true -> [D + 1] + end + ; true -> case TC2 of + false -> [D] + ; true -> case R * 2 < S of + true -> [D] + ; false -> [D + 1] + end + end + end. + + +%% this is not efficient at all and should be replaced with a lookup table +%% probably +pow(_B, 0) -> 1; +pow(B, E) when E > 0 -> pow(B, E, 1). + +pow(B, E, Acc) when E < 2 -> B * Acc; +pow(B, E, Acc) when E band 1 == 1 -> pow(B * B, E bsr 1, B * Acc); +pow(B, E, Acc) -> pow(B * B, E bsr 1, Acc). + + +format(0, Digits) -> + format(Digits, ignore, ".0"); +format(Dpoint, Digits) when Dpoint =< length(Digits), Dpoint > 0 -> + format(Digits, Dpoint, []); +format(Dpoint, Digits) when Dpoint > 0 -> + Pad = Dpoint - length(Digits), + case Pad of + X when X > 6 -> + format(Digits, 1, []) ++ "e" ++ integer_to_list(Dpoint - 1) + ; _ -> + format(Digits ++ [ 0 || _ <- lists:seq(1, Pad)], Dpoint, []) + end; +format(Dpoint, Digits) when Dpoint < 0 -> + format(Digits, 1, []) ++ "e" ++ integer_to_list(Dpoint - 1). + +format([], 0, Acc) -> + lists:reverse("0." ++ Acc); +format([], ignore, Acc) -> + lists:reverse(Acc); +format(Digits, 0, Acc) -> + format(Digits, ignore, "." ++ Acc); +format([Digit|Digits], Dpoint, Acc) -> + format(Digits, + case Dpoint of ignore -> ignore; X -> X - 1 end, to_ascii(Digit) ++ Acc + ). + + +to_ascii(X) -> [X + 48]. %% ascii "1" is [49], "2" is [50], etc... + + + +%% eunit tests +-ifdef(TEST). + +nice_decimal_test_() -> + [ + {"0.0", ?_assert(nice_decimal(0.0) =:= "0.0")}, + {"1.0", ?_assert(nice_decimal(1.0) =:= "1.0")}, + {"-1.0", ?_assert(nice_decimal(-1.0) =:= "-1.0")}, + {"3.1234567890987654321", + ?_assert( + nice_decimal(3.1234567890987654321) =:= "3.1234567890987655") + }, + {"1.0e23", ?_assert(nice_decimal(1.0e23) =:= "1.0e23")}, + {"0.3", ?_assert(nice_decimal(3.0/10.0) =:= "0.3")}, + {"0.0001", ?_assert(nice_decimal(0.0001) =:= "1.0e-4")}, + {"0.00000001", ?_assert(nice_decimal(0.00000001) =:= "1.0e-8")}, + {"1.0e-323", ?_assert(nice_decimal(1.0e-323) =:= "1.0e-323")}, + {"1.0e308", ?_assert(nice_decimal(1.0e308) =:= "1.0e308")}, + {"min normalized float", + ?_assert( + nice_decimal(math:pow(2, -1022)) =:= "2.2250738585072014e-308" + ) + }, + {"max normalized float", + ?_assert( + nice_decimal((2 - math:pow(2, -52)) * math:pow(2, 1023)) + =:= "1.7976931348623157e308" + ) + }, + {"min denormalized float", + ?_assert(nice_decimal(math:pow(2, -1074)) =:= "5.0e-324") + }, + {"max denormalized float", + ?_assert( + nice_decimal((1 - math:pow(2, -52)) * math:pow(2, -1022)) + =:= "2.225073858507201e-308" + ) + } + ]. + +-endif. \ No newline at end of file